TSTP Solution File: NUM738+4 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : NUM738+4 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n026.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 13:31:24 EDT 2022
% Result : Timeout 300.02s 300.30s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM738+4 : TPTP v8.1.0. Released v7.3.0.
% 0.12/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jul 7 20:20:24 EDT 2022
% 0.18/0.33 % CPUTime :
% 1.12/1.48 ============================== Prover9 ===============================
% 1.12/1.48 Prover9 (32) version 2009-11A, November 2009.
% 1.12/1.48 Process 9196 was started by sandbox on n026.cluster.edu,
% 1.12/1.48 Thu Jul 7 20:20:25 2022
% 1.12/1.48 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_9043_n026.cluster.edu".
% 1.12/1.48 ============================== end of head ===========================
% 1.12/1.48
% 1.12/1.48 ============================== INPUT =================================
% 1.12/1.48
% 1.12/1.48 % Reading from file /tmp/Prover9_9043_n026.cluster.edu
% 1.12/1.48
% 1.12/1.48 set(prolog_style_variables).
% 1.12/1.48 set(auto2).
% 1.12/1.48 % set(auto2) -> set(auto).
% 1.12/1.48 % set(auto) -> set(auto_inference).
% 1.12/1.48 % set(auto) -> set(auto_setup).
% 1.12/1.48 % set(auto_setup) -> set(predicate_elim).
% 1.12/1.48 % set(auto_setup) -> assign(eq_defs, unfold).
% 1.12/1.48 % set(auto) -> set(auto_limits).
% 1.12/1.48 % set(auto_limits) -> assign(max_weight, "100.000").
% 1.12/1.48 % set(auto_limits) -> assign(sos_limit, 20000).
% 1.12/1.48 % set(auto) -> set(auto_denials).
% 1.12/1.48 % set(auto) -> set(auto_process).
% 1.12/1.48 % set(auto2) -> assign(new_constants, 1).
% 1.12/1.48 % set(auto2) -> assign(fold_denial_max, 3).
% 1.12/1.48 % set(auto2) -> assign(max_weight, "200.000").
% 1.12/1.48 % set(auto2) -> assign(max_hours, 1).
% 1.12/1.48 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.12/1.48 % set(auto2) -> assign(max_seconds, 0).
% 1.12/1.48 % set(auto2) -> assign(max_minutes, 5).
% 1.12/1.48 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.12/1.48 % set(auto2) -> set(sort_initial_sos).
% 1.12/1.48 % set(auto2) -> assign(sos_limit, -1).
% 1.12/1.48 % set(auto2) -> assign(lrs_ticks, 3000).
% 1.12/1.48 % set(auto2) -> assign(max_megs, 400).
% 1.12/1.48 % set(auto2) -> assign(stats, some).
% 1.12/1.48 % set(auto2) -> clear(echo_input).
% 1.12/1.48 % set(auto2) -> set(quiet).
% 1.12/1.48 % set(auto2) -> clear(print_initial_clauses).
% 1.12/1.48 % set(auto2) -> clear(print_given).
% 1.12/1.48 assign(lrs_ticks,-1).
% 1.12/1.48 assign(sos_limit,10000).
% 1.12/1.48 assign(order,kbo).
% 1.12/1.48 set(lex_order_vars).
% 1.12/1.48 clear(print_given).
% 1.12/1.48
% 1.12/1.48 % formulas(sos). % not echoed (854 formulas)
% 1.12/1.48
% 1.12/1.48 ============================== end of input ==========================
% 1.12/1.48
% 1.12/1.48 % From the command line: assign(max_seconds, 300).
% 1.12/1.48
% 1.12/1.48 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.12/1.48
% 1.12/1.48 % Formulas that are not ordinary clauses:
% 1.12/1.48 1 (all B_1 all B_2 gg_bool(scratc94119336_amone(B_1,B_2))) # label(gsy_c_Scratch__tptp__translate__55885__25112_ONUM738__thf__4__p_Obnd__amone) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 2 (all B_1 all B_2 gg_bool(scratc602039077_d_and(B_1,B_2))) # label(gsy_c_Scratch__tptp__translate__55885__25112_ONUM738__thf__4__p_Obnd__d__and) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 3 (all B_1 gg_bool(scratc709504257_d_not(B_1))) # label(gsy_c_Scratch__tptp__translate__55885__25112_ONUM738__thf__4__p_Obnd__d__not) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 4 (all B_1 all B_2 all B_3 gg_bool(scratc1979485699nd_ec3(B_1,B_2,B_3))) # label(gsy_c_Scratch__tptp__translate__55885__25112_ONUM738__thf__4__p_Obnd__ec3) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 5 (all B_1 all B_2 gg_TPTP_ind(scratc1979485764nd_ect(B_1,B_2))) # label(gsy_c_Scratch__tptp__translate__55885__25112_ONUM738__thf__4__p_Obnd__ect) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 6 (all B_1 gg_TPTP_ind(scratc1980338550nd_eps(B_1))) # label(gsy_c_Scratch__tptp__translate__55885__25112_ONUM738__thf__4__p_Obnd__eps) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 7 (all B_1 all B_2 gg_TPTP_ind(scratc2013253357nd_ind(B_1,B_2))) # label(gsy_c_Scratch__tptp__translate__55885__25112_ONUM738__thf__4__p_Obnd__ind) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 8 (all B_1 all B_2 gg_bool(scratc1568331256d_l_ec(B_1,B_2))) # label(gsy_c_Scratch__tptp__translate__55885__25112_ONUM738__thf__4__p_Obnd__l__ec) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 9 (all B_1 all B_2 all B_3 gg_bool(scratc2063084734nd_or3(B_1,B_2,B_3))) # label(gsy_c_Scratch__tptp__translate__55885__25112_ONUM738__thf__4__p_Obnd__or3) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 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].
% 1.12/1.48 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].
% 1.12/1.48 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].
% 1.12/1.48 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].
% 1.12/1.48 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].
% 1.12/1.48 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].
% 1.12/1.48 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].
% 1.12/1.48 17 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2123035643_lessf,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2012925367nd_iii,aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(aa_TPTP_ind_TPTP_ind(scratc2055020084nd_num,X)),aa_TPTP_ind_TPTP_ind(scratc1971355451nd_den,Xa))),aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(aa_TPTP_ind_TPTP_ind(scratc2055020084nd_num,Xa)),aa_TPTP_ind_TPTP_ind(scratc1971355451nd_den,X)))))) # label(fact_def__lessf) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 18 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1716341305_29_ii,aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(aa_TPTP_ind_TPTP_ind(scratc2055020084nd_num,X)),aa_TPTP_ind_TPTP_ind(scratc1971355451nd_den,Xa))),aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(aa_TPTP_ind_TPTP_ind(scratc2055020084nd_num,Xa)),aa_TPTP_ind_TPTP_ind(scratc1971355451nd_den,X)))))) # label(fact_def__moref) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 19 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(aa_TPTP_ind_TPTP_ind(scratc2055020084nd_num,X)),aa_TPTP_ind_TPTP_ind(scratc1971355451nd_den,Xa))),aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(aa_TPTP_ind_TPTP_ind(scratc2055020084nd_num,Xa)),aa_TPTP_ind_TPTP_ind(scratc1971355451nd_den,X)))))) # label(fact_def__n__eq) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 20 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc745769989eft_f2(X,Xa,Xb),Xc) = aa_TPTP_ind_TPTP_ind(scratc1577636857d_left(X,Xa,Xb),aa_TPTP_ind_TPTP_ind(scratc745769988eft_f1(X,Xa,Xb),Xc))) # label(fact_def__left__f2) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 21 (all X all Xa all Xb scratc745769988eft_f1(X,Xa,Xb) = scratc1577636857d_left(X,Xb,Xa)) # label(fact_def__left__f1) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 22 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc1245492298_right(X,Xa,Xb),Xc) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc124855443_Sigma,aa_TPTP_ind_TPTP_ind(scratc205880442_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].
% 1.12/1.48 23 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc1577636857d_left(X,Xa,Xb),Xc) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc124855443_Sigma,aa_TPTP_ind_TPTP_ind(scratc205880442_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].
% 1.12/1.48 24 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc2031597538ght1to(X,Xa),Xb) = aa_TPTP_ind_TPTP_ind(scratc1905017266d_outn(aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(X),aa_TPTP_ind_TPTP_ind(scratc2013253367nd_inn(Xa),Xb)))) # label(fact_def__right1to) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 25 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc532384627eft1to(X,Xa),Xb) = aa_TPTP_ind_TPTP_ind(scratc1905017266d_outn(X),aa_TPTP_ind_TPTP_ind(scratc2013253367nd_inn(Xa),Xb))) # label(fact_def__left1to) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 26 (all X aa_TPTP_ind_TPTP_ind(scratc290864040d_xout,X) = aa_TPTP_ind_TPTP_ind(scratc1905017266d_outn(X),X)) # label(fact_def__xout) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 27 (all X aa_TPTP_ind_TPTP_ind(scratc2133022319d_1out,X) = aa_TPTP_ind_TPTP_ind(scratc1905017266d_outn(X),scratc941299317nd_n_1)) # label(fact_def__d__1out) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 28 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc449184107air_q0(X),Xa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1328779653_pair1(X),aa_TPTP_ind_TPTP_ind(scratc1952150067first1(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc1685753291econd1(X),Xa))) # label(fact_def__pair__q0) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 29 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc1685753291econd1(X),Xa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1156513089bnd_ap,Xa),scratc1696630654d_n_2t)) # label(fact_def__second1) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 30 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc1952150067first1(X),Xa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1156513089bnd_ap,Xa),scratc1696565055d_n_1t)) # label(fact_def__first1) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 31 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1328779653_pair1(X),Xa),Xb) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc124855443_Sigma,aa_TPTP_ind_TPTP_ind(scratc205880442_d_1to,scratc941299318nd_n_2)),aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aTP_Lamm_ag(X),Xa),Xb))) # label(fact_def__pair1) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 32 (all X aa_TPTP_ind_TPTP_ind(scratc954987263r1type,X) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1040373963d_d_Pi,aa_TPTP_ind_TPTP_ind(scratc205880442_d_1to,scratc941299318nd_n_2)),aTP_Lamm_ah(X))) # label(fact_def__pair1type) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 33 (all X scratc2013253367nd_inn(X) = scratc34094584d_e_in(scratc2053708111nd_nat,aa_TPT43085870d_bool(aTP_Lamm_ai,X))) # label(fact_def__inn) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 34 (all X scratc1905017266d_outn(X) = scratc2063281596nd_out(scratc2053708111nd_nat,aa_TPT43085870d_bool(aTP_Lamm_ai,X))) # label(fact_def__outn) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 35 (all X aa_TPTP_ind_TPTP_ind(scratc205880442_d_1to,X) = aa_fun1431113780TP_ind(scratc485787628_d_Sep(scratc2053708111nd_nat),aa_TPT43085870d_bool(aTP_Lamm_ai,X))) # label(fact_def__d__1to) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 36 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc1700500989d_n_mn(X),Xa) = scratc2013253357nd_ind(scratc2053708111nd_nat,aa_TPT43085870d_bool(scratc1442614202ffprop(X),Xa))) # label(fact_def__n__mn) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 37 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2082875310_prop1(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(X),Xa)),Xb)),aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(X),aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Xa),Xb)))))) # label(fact_def__d__431__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 38 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1494513135_prop1(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(X),aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Xa),Xb))),aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(X),Xb)))))) # label(fact_def__d__430__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 39 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1100609445_prop1,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Xa),X))))) # label(fact_def__d__429__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 40 (all X scratc1700960187d_n_ts(X) = aa_TPT1424761345TP_ind(scratc1156513089bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1426509460_times,X))) # label(fact_def__n__ts) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 41 (all X aa_TPTP_ind_TPTP_ind(scratc1426509460_times,X) = scratc2013253357nd_ind(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1040373963d_d_Pi,scratc2053708111nd_nat),aTP_Lamm_aj),aa_TPT43085870d_bool(scratc512247271_prop2,X))) # label(fact_def__times) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 42 (all X aa_TPTP_ind_TPTP_ind(scratc547071007_428_g,X) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc124855443_Sigma,scratc2053708111nd_nat),aTP_Lamm_ak(X))) # label(fact_def__d__428__g) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 43 (all X (pp(aa_TPTP_ind_bool(scratc512247273_prop4,X)) <-> pp(aa_fun171081125l_bool(scratc791976366l_some(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1040373963d_d_Pi,scratc2053708111nd_nat),aTP_Lamm_aj)),aa_TPT43085870d_bool(scratc512247271_prop2,X))))) # label(fact_def__d__428__prop4) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 44 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc512247271_prop2,X),Xa)) <-> pp(scratc602039077_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1156513089bnd_ap,Xa),scratc941299317nd_n_1)),X),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc512247270_prop1,X),Xa))))) # label(fact_def__d__428__prop2) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 45 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc512247270_prop1,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc27012901_n_all,aa_TPT43085870d_bool(aTP_Lamm_am(X),Xa))))) # label(fact_def__d__428__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 46 (all X all Xa (pp(aa_TPTP_ind_bool(scratc2045971392nd_min(X),Xa)) <-> pp(scratc602039077_d_and(aa_TPTP_ind_bool(scratc1700435378d_n_lb(X),Xa),aa_TPTP_ind_bool(X,Xa))))) # label(fact_def__min) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 47 (all X all Xa (pp(aa_TPTP_ind_bool(scratc1700435378d_n_lb(X),Xa)) <-> pp(aa_fun171081125l_bool(scratc27012901_n_all,aa_TPT43085870d_bool(scratc1079930539lbprop(X),Xa))))) # label(fact_def__n__lb) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 48 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1079930539lbprop(X),Xa),Xb)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc2013187770nd_imp,aa_TPTP_ind_bool(X,Xb)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc405801973lessis,Xa),Xb))))) # label(fact_def__lbprop) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 49 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc405801973lessis,X),Xa)) <-> pp(aa_bool_bool(scratc1568987261d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2012925367nd_iii,X),Xa)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,X),Xa))))) # label(fact_def__lessis) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 50 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc539785585moreis,X),Xa)) <-> pp(aa_bool_bool(scratc1568987261d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1716341305_29_ii,X),Xa)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,X),Xa))))) # label(fact_def__moreis) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 51 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1830515957_prop1,X),Xa)) <-> pp(scratc2063084734nd_or3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,X),Xa),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1716341305_29_ii,X),Xa),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2012925367nd_iii,X),Xa))))) # label(fact_def__d__29__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 52 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2012925367nd_iii,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc1535801008n_some,aa_TPT43085870d_bool(scratc1442614202ffprop(Xa),X))))) # label(fact_def__iii) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 53 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1716341305_29_ii,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc1535801008n_some,aa_TPT43085870d_bool(scratc1442614202ffprop(X),Xa))))) # label(fact_def__d__29__ii) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 54 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1442614202ffprop(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,X),aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Xa),Xb))))) # label(fact_def__diffprop) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 55 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1242153782_prop1(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2054232902nd_nis,aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(X),Xb))))) # label(fact_def__d__28__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 56 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc653791607_prop1,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2054232902nd_nis,Xa),aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(X),Xa))))) # label(fact_def__d__27__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 57 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc65429432_prop1,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Xa),X))))) # label(fact_def__d__26__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 58 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1624550905_prop1(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(X),Xa)),Xb)),aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(X),aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Xa),Xb)))))) # label(fact_def__d__25__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 59 (all X scratc1700697784d_n_pl(X) = aa_TPT1424761345TP_ind(scratc1156513089bnd_ap,aa_TPTP_ind_TPTP_ind(scratc463832876d_plus,X))) # label(fact_def__n__pl) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 60 (all X aa_TPTP_ind_TPTP_ind(scratc463832876d_plus,X) = scratc2013253357nd_ind(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1040373963d_d_Pi,scratc2053708111nd_nat),aTP_Lamm_aj),aa_TPT43085870d_bool(scratc1036188731_prop2,X))) # label(fact_def__plus) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 61 (all X aa_TPTP_ind_TPTP_ind(scratc537996915d_24_g,X) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc124855443_Sigma,scratc2053708111nd_nat),aTP_Lamm_an(X))) # label(fact_def__d__24__g) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 62 (all X (pp(aa_TPTP_ind_bool(scratc1763297983_prop4,X)) <-> pp(aa_fun171081125l_bool(scratc791976366l_some(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1040373963d_d_Pi,scratc2053708111nd_nat),aTP_Lamm_aj)),aa_TPT43085870d_bool(scratc1036188731_prop2,X))))) # label(fact_def__prop4) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 63 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1763297982_prop3(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1156513089bnd_ap,X),Xb)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1156513089bnd_ap,Xa),Xb))))) # label(fact_def__prop3) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 64 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1036188731_prop2,X),Xa)) <-> pp(scratc602039077_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1156513089bnd_ap,Xa),scratc941299317nd_n_1)),aa_TPTP_ind_TPTP_ind(scratc763941489rdsucc,X)),aa_TPTP_ind_bool(scratc1036188730_prop1,Xa))))) # label(fact_def__d__24__prop2) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 65 (all X (pp(aa_TPTP_ind_bool(scratc1036188730_prop1,X)) <-> pp(aa_fun171081125l_bool(scratc27012901_n_all,aa_TPT43085870d_bool(aTP_Lamm_ao,X))))) # label(fact_def__d__24__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 66 (all X (pp(aa_TPTP_ind_bool(scratc447826555_prop1,X)) <-> pp(aa_bool_bool(scratc1568987261d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,X),scratc941299317nd_n_1)),aa_fun171081125l_bool(scratc1535801008n_some,aa_TPT43085870d_bool(aTP_Lamm_ap,X)))))) # label(fact_def__d__23__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 67 (all X (pp(aa_TPTP_ind_bool(scratc2006948028_prop1,X)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2054232902nd_nis,aa_TPTP_ind_TPTP_ind(scratc763941489rdsucc,X)),X)))) # label(fact_def__d__22__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 68 (all X (pp(aa_TPTP_ind_bool(scratc1778021118_cond2,X)) <-> pp(aa_fun171081125l_bool(scratc27012901_n_all,aa_TPT43085870d_bool(aTP_Lamm_aq,X))))) # label(fact_def__cond2) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 69 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2054232902nd_nis,X),Xa)) <-> pp(scratc709504257_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,X),Xa))))) # label(fact_def__nis) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 70 (all X all Xa all Xb all Xc all Xd scratc2016881849indeq2(X,Xa,Xb,Xc,Xd) = aa_TPT1424761345TP_ind(scratc1309819321_indeq(X,Xa,Xb),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1351638327d_11_i(X,Xa,Xb),Xc),Xd))) # label(fact_def__indeq2) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 71 (all X all Xa all Xb scratc1351638327d_11_i(X,Xa,Xb) = scratc1309819321_indeq(X,Xa,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1040373963d_d_Pi,X),aTP_Lamm_ah(Xb)))) # label(fact_def__d__11__i) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 72 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc85888352fixfu2(X,Xa),Xb),Xc)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_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].
% 1.12/1.48 73 (all X all Xa all Xb all Xc all Xd aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1309819321_indeq(X,Xa,Xb),Xc),Xd) = scratc2013253357nd_ind(Xb,aa_TPT43085870d_bool(scratc1763297981_prop2(X,Xa,Xb,Xc),Xd))) # label(fact_def__indeq) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 74 (all X all Xa all Xb all Xc all Xd all Xe (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1763297981_prop2(X,Xa,Xb,Xc),Xd),Xe)) <-> pp(aa_fun171081125l_bool(scratc791976366l_some(X),aa_TPT43085870d_bool(scratc1583511357_prop1(X,Xa,Xb,Xc,Xd),Xe))))) # label(fact_def__prop2) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 75 (all X all Xa all Xb all Xc all Xd all Xe all Xf (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1583511357_prop1(X,Xa,Xb,Xc,Xd),Xe),Xf)) <-> pp(scratc602039077_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc525073205d_esti(X),Xf),aa_TPTP_ind_TPTP_ind(scratc1058135174_ecect(X,Xa),Xd)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc34094589d_e_is(Xb),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1156513089bnd_ap,Xc),Xf)),Xe))))) # label(fact_def__d__10__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 76 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc595937106_fixfu(X,Xa),Xb),Xc)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_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].
% 1.12/1.48 77 (all X all Xa scratc1058135174_ecect(X,Xa) = scratc34094584d_e_in(aa_TPTP_ind_TPTP_ind(scratc1634390547_power,X),scratc1655400189d_anec(X,Xa))) # label(fact_def__ecect) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 78 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc482713001ectelt(X,Xa),Xb) = aa_TPTP_ind_TPTP_ind(scratc597914878ectset(X,Xa),aa_TPTP_ind_TPTP_ind(scratc1058725565_ecelt(X,Xa),Xb))) # label(fact_def__ectelt) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 79 (all X all Xa scratc597914878ectset(X,Xa) = scratc2063281596nd_out(aa_TPTP_ind_TPTP_ind(scratc1634390547_power,X),scratc1655400189d_anec(X,Xa))) # label(fact_def__ectset) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 80 (all X all Xa scratc1979485764nd_ect(X,Xa) = aa_fun1431113780TP_ind(scratc485787628_d_Sep(aa_TPTP_ind_TPTP_ind(scratc1634390547_power,X)),scratc1655400189d_anec(X,Xa))) # label(fact_def__ect) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 81 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(scratc1655400189d_anec(X,Xa),Xb)) <-> pp(aa_fun171081125l_bool(scratc791976366l_some(X),aa_TPT43085870d_bool(scratc1979485760nd_ecp(X,Xa),Xb))))) # label(fact_def__anec) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 82 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1979485760nd_ecp(X,Xa),Xb),Xc)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc34094589d_e_is(aa_TPTP_ind_TPTP_ind(scratc1634390547_power,X)),Xb),aa_TPTP_ind_TPTP_ind(scratc1058725565_ecelt(X,Xa),Xc))))) # label(fact_def__ecp) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 83 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc1058725565_ecelt(X,Xa),Xb) = aa_fun1431113780TP_ind(scratc485787628_d_Sep(X),aa_TPT43085870d_bool(Xa,Xb))) # label(fact_def__ecelt) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 84 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc704032224unmore(X,Xa),Xb) = aa_fun1431113780TP_ind(scratc485787628_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].
% 1.12/1.48 85 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1062773823etprop(X,Xa),Xb),Xc)) <-> pp(scratc602039077_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc525073205d_esti(X),Xc),Xa),scratc709504257_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc525073205d_esti(X),Xc),Xb)))))) # label(fact_def__nissetprop) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 86 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1853136943t_disj(X),Xa),Xb)) <-> pp(aa_fun171081125l_bool(scratc1947030127nd_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].
% 1.12/1.48 87 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1457515648d_incl(X),Xa),Xb)) <-> pp(aa_fun171081125l_bool(scratc1947030127nd_all(X),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bc(X),Xa),Xb))))) # label(fact_def__incl) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 88 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc446312242nempty,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc791976366l_some(X),aa_TPT43085870d_bool(aTP_Lamm_bd(X),Xa))))) # label(fact_def__nonempty) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 89 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc366064315_empty,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aa_TPT43085870d_bool(aTP_Lamm_as,X)),scratc2054626491nd_non(X,aa_TPT43085870d_bool(aTP_Lamm_bd(X),Xa)))))) # label(fact_def__empty) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 90 (all X scratc525073205d_esti(X) = scratc1157037879bnd_in) # label(fact_def__esti) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 91 (all X all Xa (scratc1963266046d_r_ec(X,Xa) <-> (pp(X) -> pp(scratc709504257_d_not(Xa))))) # label(fact_def__r__ec) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.48 92 (all X all Xa all Xb all Xc all Xd aa_TPTP_ind_TPTP_ind(scratc176148132hangef(X,Xa,Xb,Xc),Xd) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc124855443_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].
% 1.12/1.49 93 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc465941675wissel(X,Xa),Xb) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc124855443_Sigma,X),scratc1002143510sel_wb(X,Xa,Xb))) # label(fact_def__wissel) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 94 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc1002143510sel_wb(X,Xa,Xb),Xc) = aa_TPTP_ind_TPTP_ind(scratc2013646952nd_ite(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc34094589d_e_is(X),Xc),Xb),X,Xa),aa_TPTP_ind_TPTP_ind(scratc1002143509sel_wa(X,Xa,Xb),Xc))) # label(fact_def__wissel__wb) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 95 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc1002143509sel_wa(X,Xa,Xb),Xc) = aa_TPTP_ind_TPTP_ind(scratc2013646952nd_ite(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc34094589d_e_is(X),Xc),Xa),X,Xb),Xc)) # label(fact_def__wissel__wa) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 96 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc2013646952nd_ite(X,Xa,Xb),Xc) = scratc2013253357nd_ind(Xa,aa_TPT43085870d_bool(scratc1763297980_prop1(X,Xa,Xb),Xc))) # label(fact_def__ite) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 97 (all X all Xa all Xb all Xc all Xd (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1763297980_prop1(X,Xa,Xb),Xc),Xd)) <-> pp(scratc602039077_d_and(aa_bool_bool(aa_boo1142376798l_bool(scratc2013187770nd_imp,X),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc34094589d_e_is(Xa),Xd),Xb)),aa_bool_bool(aa_boo1142376798l_bool(scratc2013187770nd_imp,scratc709504257_d_not(X)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc34094589d_e_is(Xa),Xd),Xc)))))) # label(fact_def__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 98 (all X all Xa scratc1225157606second(X,Xa) = scratc1762904386_proj1) # label(fact_def__second) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 99 (all X all Xa scratc547220862_first(X,Xa) = scratc1762904385_proj0) # label(fact_def__first) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 100 (all X all Xa scratc1801443692d_pair(X,Xa) = scratc372169132d_pair) # label(fact_def__d__pair) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 101 (all X all Xa scratc2063281596nd_out(X,Xa) = scratc681911356d_soft(aa_fun1431113780TP_ind(scratc485787628_d_Sep(X),Xa),X,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc124855443_Sigma,aa_fun1431113780TP_ind(scratc485787628_d_Sep(X),Xa)),scratc34094584d_e_in(X,Xa)))) # label(fact_def__out) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 102 (all X all Xa all Xb (gg_TPTP_ind(Xb) -> aa_TPTP_ind_TPTP_ind(scratc34094584d_e_in(X,Xa),Xb) = Xb)) # label(fact_def__e__in) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 103 (all X all Xa all Xb all Xc all Xd aa_TPTP_ind_TPTP_ind(scratc207204341_inj_h(X,Xa,Xb,Xc),Xd) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc124855443_Sigma,X),aa_TPT1424761345TP_ind(aTP_Lamm_bf(Xc),Xd))) # label(fact_def__inj__h) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 104 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc1458762023d_invf(X,Xa),Xb) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc124855443_Sigma,Xa),scratc681911356d_soft(X,Xa,Xb))) # label(fact_def__invf) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 105 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc944419539ective(X),Xa),Xb)) <-> pp(scratc602039077_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760700309ective(X),Xa),Xb),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc598519118ective(X),Xa),Xb))))) # label(fact_def__bijective) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 106 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc598519118ective(X),Xa),Xb)) <-> pp(aa_fun171081125l_bool(scratc1947030127nd_all(Xa),aa_TPT43085870d_bool(scratc504578793_image(X,Xa),Xb))))) # label(fact_def__surjective) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 107 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc162189182nverse(X,Xa),Xb) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc124855443_Sigma,Xa),aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aTP_Lamm_bg(X),Xa),Xb))) # label(fact_def__inverse) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 108 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc681911356d_soft(X,Xa,Xb),Xc) = scratc2013253357nd_ind(X,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bh(Xa),Xb),Xc))) # label(fact_def__soft) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 109 (all X all Xa scratc1462498554d_tofs(X,Xa) = scratc1156513089bnd_ap) # label(fact_def__tofs) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 110 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc504578793_image(X,Xa),Xb),Xc)) <-> pp(aa_fun171081125l_bool(scratc791976366l_some(X),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bh(Xa),Xb),Xc))))) # label(fact_def__image) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 111 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760700309ective(X),Xa),Xb)) <-> pp(aa_fun171081125l_bool(scratc1947030127nd_all(X),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bj(X),Xa),Xb))))) # label(fact_def__injective) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 112 (all X all Xa scratc2013253357nd_ind(X,Xa) = scratc1980338550nd_eps(aa_fun1584354236d_bool(aTP_Lamm_bk(X),Xa))) # label(fact_def__ind) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 113 (all X all Xa (pp(aa_fun171081125l_bool(scratc2062822388nd_one(X),Xa)) <-> pp(scratc602039077_d_and(scratc94119336_amone(X,Xa),aa_fun171081125l_bool(scratc791976366l_some(X),Xa))))) # label(fact_def__one) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 114 (all X all Xa (pp(scratc94119336_amone(X,Xa)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_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].
% 1.12/1.49 115 (all X scratc34094589d_e_is(X) = fequal_TPTP_ind) # label(fact_def__e__is) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 116 (all X all Xa all Xb (scratc540265856_orec3(X,Xa,Xb) <-> pp(scratc602039077_d_and(scratc2063084734nd_or3(X,Xa,Xb),scratc1979485699nd_ec3(X,Xa,Xb))))) # label(fact_def__orec3) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 117 (all X all Xa all Xb (pp(scratc1979485699nd_ec3(X,Xa,Xb)) <-> scratc1655334542d_and3(scratc1568331256d_l_ec(X,Xa),scratc1568331256d_l_ec(Xa,Xb),scratc1568331256d_l_ec(Xb,X)))) # label(fact_def__ec3) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 118 (all X all Xa all Xb (scratc1655334542d_and3(X,Xa,Xb) <-> pp(scratc602039077_d_and(X,scratc602039077_d_and(Xa,Xb))))) # label(fact_def__and3) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 119 (all X all Xa all Xb (pp(scratc2063084734nd_or3(X,Xa,Xb)) <-> pp(aa_bool_bool(scratc1568987261d_l_or(X),aa_bool_bool(scratc1568987261d_l_or(Xa),Xb))))) # label(fact_def__or3) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 120 (all X all Xa (pp(aa_fun171081125l_bool(scratc791976366l_some(X),Xa)) <-> pp(scratc709504257_d_not(aa_fun171081125l_bool(scratc1681315558all_of(aa_TPT43085870d_bool(aTP_Lamm_as,X)),scratc2054626491nd_non(X,Xa)))))) # label(fact_def__l__some) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 121 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(scratc2054626491nd_non(X,Xa),Xb)) <-> pp(scratc709504257_d_not(aa_TPTP_ind_bool(Xa,Xb))))) # label(fact_def__non) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 122 (all X scratc1947030127nd_all(X) = scratc1681315558all_of(aa_TPT43085870d_bool(aTP_Lamm_as,X))) # label(fact_def__all) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 123 (all X all Xa (scratc1496180527_l_iff(X,Xa) <-> pp(scratc602039077_d_and(aa_bool_bool(aa_boo1142376798l_bool(scratc2013187770nd_imp,X),Xa),aa_bool_bool(aa_boo1142376798l_bool(scratc2013187770nd_imp,Xa),X))))) # label(fact_def__l__iff) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 124 (all X all Xa (scratc1879248755d_orec(X,Xa) <-> pp(scratc602039077_d_and(aa_bool_bool(scratc1568987261d_l_or(X),Xa),scratc1568331256d_l_ec(X,Xa))))) # label(fact_def__orec) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 125 (all X scratc1568987261d_l_or(X) = aa_boo1142376798l_bool(scratc2013187770nd_imp,scratc709504257_d_not(X))) # label(fact_def__l__or) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 126 (all X all Xa (pp(scratc602039077_d_and(X,Xa)) <-> pp(scratc709504257_d_not(scratc1568331256d_l_ec(X,Xa))))) # label(fact_def__d__and) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 127 (all X all Xa (pp(scratc1568331256d_l_ec(X,Xa)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc2013187770nd_imp,X),scratc709504257_d_not(Xa))))) # label(fact_def__l__ec) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 128 scratc1027271829bvious <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc2013187770nd_imp,fFalse),fFalse)) # label(fact_def__obvious) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 129 (all X (scratc2128324044nd_wel(X) <-> pp(scratc709504257_d_not(scratc709504257_d_not(X))))) # label(fact_def__wel) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 130 (all X (pp(scratc709504257_d_not(X)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc2013187770nd_imp,X),fFalse)))) # label(fact_def__d__not) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 131 (all X all Xa aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1040373963d_d_Pi,X),Xa) = aa_fun1431113780TP_ind(scratc485787628_d_Sep(aa_TPTP_ind_TPTP_ind(scratc1634390547_power,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc124855443_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].
% 1.12/1.49 132 (all X (gg_TPTP_ind(X) -> (pp(aa_TPTP_ind_bool(scratc620691460pair_p,X)) <-> aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc372169132d_pair,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1156513089bnd_ap,X),scratc160717255ptyset)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1156513089bnd_ap,X),aa_TPTP_ind_TPTP_ind(scratc763941489rdsucc,scratc160717255ptyset))) = X))) # label(fact_def__pair__p) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 133 (all X all Xa aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1156513089bnd_ap,X),Xa) = aa_fun277296641TP_ind(scratc1626234397eplSep(X,aa_TPT43085870d_bool(aTP_Lamm_bp,Xa)),scratc1762904386_proj1)) # label(fact_def__ap) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 134 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc397864583etprod(X),Xa) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc124855443_Sigma,X),aTP_Lamm_ah(Xa))) # label(fact_def__setprod) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 135 (all X all Xa aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc124855443_Sigma,X),Xa) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc526157807munion,X),aTP_Lamm_bq(Xa))) # label(fact_def__d__Sigma) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 136 (all X aa_TPTP_ind_TPTP_ind(scratc1762904386_proj1,X) = aa_fun277296641TP_ind(scratc1626234397eplSep(X,aTP_Lamm_br),scratc502901023_d_Unj)) # label(fact_def__proj1) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 137 (all X aa_TPTP_ind_TPTP_ind(scratc1762904385_proj0,X) = aa_fun277296641TP_ind(scratc1626234397eplSep(X,aTP_Lamm_bs),scratc502901023_d_Unj)) # label(fact_def__proj0) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 138 (all X all Xa aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc372169132d_pair,X),Xa) = aa_TPTP_ind_TPTP_ind(scratc1520014906nunion(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1966848737d_repl,X),scratc1530779101d_Inj0)),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1966848737d_repl,Xa),scratc1530779102d_Inj1))) # label(fact_def__pair) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 139 (all X aa_TPTP_ind_TPTP_ind(scratc1530779101d_Inj0,X) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1966848737d_repl,X),scratc1530779102d_Inj1)) # label(fact_def__d__Inj0) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 140 (all X (pp(aa_TPTP_ind_bool(scratc1501227681_nat_p,X)) <-> (all X1 (pp(aa_TPTP_ind_bool(X1,scratc160717255ptyset)) -> ((all X2 (gg_TPTP_ind(X2) -> (pp(aa_TPTP_ind_bool(X1,X2)) -> pp(aa_TPTP_ind_bool(X1,aa_TPTP_ind_TPTP_ind(scratc763941489rdsucc,X2)))))) -> pp(aa_TPTP_ind_bool(X1,X))))))) # label(fact_def__nat__p) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 141 (all X aa_TPTP_ind_TPTP_ind(scratc763941489rdsucc,X) = aa_TPTP_ind_TPTP_ind(scratc1520014906nunion(X),aa_TPTP_ind_TPTP_ind(scratc705671425d_Sing,X))) # label(fact_def__ordsucc) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 142 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc1353997977In_rec(X),Xa) = scratc1980338550nd_eps(aa_TPT43085870d_bool(scratc1957412014_rec_G(X),Xa))) # label(fact_def__d__In__rec) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 143 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1957412014_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(scratc1157037879bnd_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].
% 1.12/1.49 144 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc1436300448tminus(X),Xa) = aa_fun1431113780TP_ind(scratc485787628_d_Sep(X),aa_TPT43085870d_bool(aTP_Lamm_bv,Xa))) # label(fact_def__setminus) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 145 (all X all Xa scratc1626234397eplSep(X,Xa) = aa_TPT494704832TP_ind(scratc1966848737d_repl,aa_fun1431113780TP_ind(scratc485787628_d_Sep(X),Xa))) # label(fact_def__d__ReplSep) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 146 (all X all Xa aa_fun1431113780TP_ind(scratc485787628_d_Sep(X),Xa) = aa_TPTP_ind_TPTP_ind(scratc1157037871bnd_if(fEx_TPTP_ind(cOMBS_2003118649l_bool(cOMBB_658106424TP_ind(fconj,aa_TPT43085870d_bool(cOMBC_1555011498d_bool(scratc1157037879bnd_in),X)),Xa)),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1966848737d_repl,X),aa_fun1235454963TP_ind(aTP_Lamm_bw(X),Xa))),scratc160717255ptyset)) # label(fact_def__d__Sep) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 147 (all X all Xa aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc526157807munion,X),Xa) = aa_TPTP_ind_TPTP_ind(scratc2141652413_union,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1966848737d_repl,X),Xa))) # label(fact_def__famunion) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 148 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc1520014906nunion(X),Xa) = aa_TPTP_ind_TPTP_ind(scratc2141652413_union,aa_TPTP_ind_TPTP_ind(scratc19341821_UPair(X),Xa))) # label(fact_def__binunion) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 149 (all X aa_TPTP_ind_TPTP_ind(scratc705671425d_Sing,X) = aa_TPTP_ind_TPTP_ind(scratc19341821_UPair(X),X)) # label(fact_def__d__Sing) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 150 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc19341821_UPair(X),Xa) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1966848737d_repl,aa_TPTP_ind_TPTP_ind(scratc1634390547_power,aa_TPTP_ind_TPTP_ind(scratc1634390547_power,scratc160717255ptyset))),aa_TPT1424761345TP_ind(aTP_Lamm_bx(X),Xa))) # label(fact_def__d__UPair) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 151 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2052133729nd_nIn,X),Xa)) <-> -pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,X),Xa)))) # label(fact_def__nIn) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 152 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc1157037871bnd_if(X,Xa),Xb) = scratc1980338550nd_eps(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_by(X),Xa),Xb))) # label(fact_def__if) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 153 (all X (pp(aa_TPTP_ind_bool(scratc108452266closed,X)) <-> pp(aa_TPTP_ind_bool(scratc479516265closed,X)) & pp(aa_TPTP_ind_bool(scratc644249279closed,X)) & pp(aa_TPTP_ind_bool(scratc1678941005closed,X)))) # label(fact_def__d__ZF__closed) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 154 (all X (pp(aa_TPTP_ind_bool(scratc1678941005closed,X)) <-> (all X1 (gg_TPTP_ind(X1) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,X1),X)) -> (all X2 ((all X3 (gg_TPTP_ind(X3) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,X3),X1)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,aa_TPTP_ind_TPTP_ind(X2,X3)),X))))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1966848737d_repl,X1),X2)),X))))))))) # label(fact_def__d__Repl__closed) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 155 (all X (pp(aa_TPTP_ind_bool(scratc644249279closed,X)) <-> (all X1 (gg_TPTP_ind(X1) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,X1),X)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,aa_TPTP_ind_TPTP_ind(scratc1634390547_power,X1)),X))))))) # label(fact_def__d__Power__closed) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 156 (all X (pp(aa_TPTP_ind_bool(scratc479516265closed,X)) <-> (all X1 (gg_TPTP_ind(X1) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,X1),X)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,aa_TPTP_ind_TPTP_ind(scratc2141652413_union,X1)),X))))))) # label(fact_def__d__Union__closed) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 157 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc804022307d_Subq,X),Xa)) <-> (all X2 (gg_TPTP_ind(X2) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,X2),X)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,X2),Xa))))))) # label(fact_def__d__Subq) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 158 (all X all Xa (pp(aa_fun171081125l_bool(scratc1681315558all_of(X),Xa)) <-> (all X2 (gg_TPTP_ind(X2) -> (scratc1614583475_is_of(X2,X) -> pp(aa_TPTP_ind_bool(Xa,X2))))))) # label(fact_def__all__of) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 159 (all X all Xa (scratc1614583475_is_of(X,Xa) <-> pp(aa_TPTP_ind_bool(Xa,X)))) # label(fact_def__is__of) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 160 (all X0 (pp(aa_fun171081125l_bool(scratc1535801008n_some,X0)) -> pp(aa_fun171081125l_bool(scratc142805162_n_one,scratc2045971392nd_min(X0))))) # label(fact_satz27a) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 161 (all X0 (pp(aa_fun171081125l_bool(scratc1535801008n_some,X0)) -> pp(aa_fun171081125l_bool(scratc1535801008n_some,scratc2045971392nd_min(X0))))) # label(fact_satz27) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 162 (all X0 pp(aa_fun171081125l_bool(scratc1681315558all_of(aa_TPT43085870d_bool(aTP_Lamm_pt,X0)),aa_TPT43085870d_bool(aTP_Lamm_pv,X0)))) # label(fact_isseti) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 163 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1681315558all_of(aa_TPT43085870d_bool(aTP_Lamm_as,X0)),aa_fun1584354236d_bool(aTP_Lamm_pw(X0),X12)))) # label(fact_estie) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 164 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1681315558all_of(aa_TPT43085870d_bool(aTP_Lamm_as,X0)),aa_fun1584354236d_bool(aTP_Lamm_px(X0),X12)))) # label(fact_estii) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 165 (all X0 all X12 scratc1614583475_is_of(aa_fun1431113780TP_ind(scratc485787628_d_Sep(X0),X12),aa_TPT43085870d_bool(aTP_Lamm_pt,X0))) # label(fact_setof__p) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 166 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1681315558all_of(aa_TPT43085870d_bool(aTP_Lamm_as,X0)),aa_TPT43085870d_bool(aTP_Lamm_pz(X0),X12)))) # label(fact_secondis1) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 167 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1681315558all_of(aa_TPT43085870d_bool(aTP_Lamm_as,X0)),aa_TPT43085870d_bool(aTP_Lamm_qb(X0),X12)))) # label(fact_firstis1) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 168 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1681315558all_of(aa_TPT43085870d_bool(aTP_Lamm_qc(X0),X12)),aa_TPT43085870d_bool(aTP_Lamm_qd(X0),X12)))) # label(fact_pairis1) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 169 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1681315558all_of(aa_TPT43085870d_bool(aTP_Lamm_qc(X0),X12)),aa_TPT43085870d_bool(aTP_Lamm_qe(X0),X12)))) # label(fact_second__p) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 170 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1681315558all_of(aa_TPT43085870d_bool(aTP_Lamm_qc(X0),X12)),aa_TPT43085870d_bool(aTP_Lamm_qf(X0),X12)))) # label(fact_first__p) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 171 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1681315558all_of(aa_TPT43085870d_bool(aTP_Lamm_as,X0)),aa_TPT43085870d_bool(aTP_Lamm_qh(X0),X12)))) # label(fact_e__pair__p) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 172 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1681315558all_of(aa_TPT43085870d_bool(aTP_Lamm_as,X0)),aa_fun1584354236d_bool(aTP_Lamm_qi(X0),X12)))) # label(fact_otax2) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 173 (all X0 all X12 pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760700309ective(aa_fun1431113780TP_ind(scratc485787628_d_Sep(X0),X12)),X0),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc124855443_Sigma,aa_fun1431113780TP_ind(scratc485787628_d_Sep(X0),X12)),scratc34094584d_e_in(X0,X12))))) # label(fact_otax1) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 174 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1681315558all_of(aa_fun1584354236d_bool(aTP_Lamm_qj(X0),X12)),aa_fun1584354236d_bool(aTP_Lamm_qk(X0),X12)))) # label(fact_e__inp) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 175 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1681315558all_of(aa_fun1584354236d_bool(aTP_Lamm_qj(X0),X12)),aa_fun1584354236d_bool(aTP_Lamm_ql(X0),X12)))) # label(fact_e__in__p) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 176 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1681315558all_of(aa_TPT43085870d_bool(aTP_Lamm_qm(X0),X12)),aa_TPT43085870d_bool(aTP_Lamm_qp(X0),X12)))) # label(fact_e__fisi) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 177 (all X0 all X12 (pp(aa_fun171081125l_bool(scratc2062822388nd_one(X0),X12)) -> pp(aa_TPTP_ind_bool(X12,scratc2013253357nd_ind(X0,X12))))) # label(fact_oneax) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 178 (all X0 all X12 (pp(aa_fun171081125l_bool(scratc2062822388nd_one(X0),X12)) -> scratc1614583475_is_of(scratc2013253357nd_ind(X0,X12),aa_TPT43085870d_bool(aTP_Lamm_as,X0)))) # label(fact_ind__p) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 179 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1681315558all_of(aa_TPT43085870d_bool(aTP_Lamm_as,X0)),aa_fun1584354236d_bool(aTP_Lamm_qr(X0),X12)))) # label(fact_e__isp) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 180 (all X0 pp(aa_fun171081125l_bool(scratc1681315558all_of(aa_TPT43085870d_bool(aTP_Lamm_as,X0)),aa_TPT43085870d_bool(aTP_Lamm_qs,X0)))) # label(fact_refis) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 181 (all X0 (scratc2128324044nd_wel(X0) -> pp(X0))) # label(fact_l__et) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 182 (all X0 all X12 all X22 all X32 (pp(X0) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,X12),aa_TPTP_ind_TPTP_ind(scratc1157037871bnd_if(X0,X22),X32))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,X12),X22))))) # label(fact_k__If__In__then__E) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 183 (all X0 all X12 all X22 ((pp(X0) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,X12),X22))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,aa_TPTP_ind_TPTP_ind(scratc1157037871bnd_if(X0,X12),scratc160717255ptyset)),aa_TPTP_ind_TPTP_ind(scratc1157037871bnd_if(X0,X22),aa_TPTP_ind_TPTP_ind(scratc763941489rdsucc,scratc160717255ptyset)))))) # label(fact_k__If__In__01) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 184 (all X0 all X12 all X22 ((all X33 (gg_TPTP_ind(X33) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,X33),X0)) -> aa_TPTP_ind_TPTP_ind(X12,X33) = aa_TPTP_ind_TPTP_ind(X22,X33)))) -> aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc124855443_Sigma,X0),X12) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc124855443_Sigma,X0),X22))) # label(fact_xi__ext) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 185 (all X0 all X12 all X22 (gg_TPTP_ind(X22) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1040373963d_d_Pi,X0),X12))) -> (all X32 (gg_TPTP_ind(X32) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,X32),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1040373963d_d_Pi,X0),X12))) -> ((all X42 (gg_TPTP_ind(X42) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,X42),X0)) -> aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1156513089bnd_ap,X22),X42) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1156513089bnd_ap,X32),X42)))) -> X22 = X32))))))) # label(fact_k__Pi__ext) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 186 (all X0 all X12 all X22 all X32 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1040373963d_d_Pi,X0),X12))) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,X32),X0)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1156513089bnd_ap,X22),X32)),aa_TPTP_ind_TPTP_ind(X12,X32)))))) # label(fact_ap__Pi) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 187 (all X0 all X12 all X22 ((all X33 (gg_TPTP_ind(X33) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,X33),X0)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,aa_TPTP_ind_TPTP_ind(X22,X33)),aa_TPTP_ind_TPTP_ind(X12,X33)))))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc124855443_Sigma,X0),X22)),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1040373963d_d_Pi,X0),X12))))) # label(fact_lam__Pi) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 188 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,X22),X0)) -> aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1156513089bnd_ap,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc124855443_Sigma,X0),X12)),X22) = aa_TPTP_ind_TPTP_ind(X12,X22))) # label(fact_beta) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 189 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc124855443_Sigma,X0),X12))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,aa_TPTP_ind_TPTP_ind(scratc1762904386_proj1,X22)),aa_TPTP_ind_TPTP_ind(X12,aa_TPTP_ind_TPTP_ind(scratc1762904385_proj0,X22)))))) # label(fact_proj1__Sigma) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 190 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc124855443_Sigma,X0),X12))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,aa_TPTP_ind_TPTP_ind(scratc1762904385_proj0,X22)),X0)))) # label(fact_proj0__Sigma) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 191 (all X0 all X12 all X22 (gg_TPTP_ind(X22) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc124855443_Sigma,X0),X12))) -> aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc372169132d_pair,aa_TPTP_ind_TPTP_ind(scratc1762904385_proj0,X22)),aa_TPTP_ind_TPTP_ind(scratc1762904386_proj1,X22)) = X22))) # label(fact_proj__Sigma__eta) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 192 (all X0 all X12 all X22 (gg_TPTP_ind(X22) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc124855443_Sigma,X0),X12))) -> aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc372169132d_pair,aa_TPTP_ind_TPTP_ind(scratc1762904385_proj0,X22)),aa_TPTP_ind_TPTP_ind(scratc1762904386_proj1,X22)) = X22 & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,aa_TPTP_ind_TPTP_ind(scratc1762904385_proj0,X22)),X0)) & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,aa_TPTP_ind_TPTP_ind(scratc1762904386_proj1,X22)),aa_TPTP_ind_TPTP_ind(X12,aa_TPTP_ind_TPTP_ind(scratc1762904385_proj0,X22))))))) # label(fact_k__Sigma__eta__proj0__proj1) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 193 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,X22),X0)) -> (all X32 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,X32),aa_TPTP_ind_TPTP_ind(X12,X22))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc372169132d_pair,X22),X32)),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc124855443_Sigma,X0),X12))))))) # label(fact_pair__Sigma) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 194 (all X0 all X12 (gg_TPTP_ind(X12) -> aa_TPTP_ind_TPTP_ind(scratc1762904386_proj1,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc372169132d_pair,X0),X12)) = X12)) # label(fact_proj1__pair__eq) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 195 (all X0 all X12 (gg_TPTP_ind(X0) -> aa_TPTP_ind_TPTP_ind(scratc1762904385_proj0,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc372169132d_pair,X0),X12)) = X0)) # label(fact_proj0__pair__eq) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 196 (all X0 (pp(aa_TPTP_ind_bool(scratc1501227681_nat_p,X0)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,X0),scratc932559599_omega)))) # label(fact_nat__p__omega) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 197 (all X0 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,X0),scratc932559599_omega)) -> pp(aa_TPTP_ind_bool(scratc1501227681_nat_p,X0)))) # label(fact_omega__nat__p) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 198 (all X0 (gg_TPTP_ind(X0) -> (pp(aa_TPTP_ind_bool(scratc1501227681_nat_p,X0)) -> X0 = scratc160717255ptyset | (exists X13 (gg_TPTP_ind(X13) & pp(aa_TPTP_ind_bool(scratc1501227681_nat_p,X13)) & X0 = aa_TPTP_ind_TPTP_ind(scratc763941489rdsucc,X13)))))) # label(fact_nat__inv) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 199 (all X0 (pp(aa_TPTP_ind_bool(X0,scratc160717255ptyset)) -> ((all X13 (gg_TPTP_ind(X13) -> (pp(aa_TPTP_ind_bool(scratc1501227681_nat_p,X13)) -> (pp(aa_TPTP_ind_bool(X0,X13)) -> pp(aa_TPTP_ind_bool(X0,aa_TPTP_ind_TPTP_ind(scratc763941489rdsucc,X13))))))) -> (all X12 (pp(aa_TPTP_ind_bool(scratc1501227681_nat_p,X12)) -> pp(aa_TPTP_ind_bool(X0,X12))))))) # label(fact_nat__ind) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 200 (all X0 (pp(aa_TPTP_ind_bool(scratc1501227681_nat_p,X0)) -> pp(aa_TPTP_ind_bool(scratc1501227681_nat_p,aa_TPTP_ind_TPTP_ind(scratc763941489rdsucc,X0))))) # label(fact_nat__ordsucc) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 201 (all X0 all X12 (gg_TPTP_ind(X0) & gg_TPTP_ind(X12) -> (aa_TPTP_ind_TPTP_ind(scratc763941489rdsucc,X0) = aa_TPTP_ind_TPTP_ind(scratc763941489rdsucc,X12) -> X0 = X12))) # label(fact_ordsucc__inj) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 202 (all X0 aa_TPTP_ind_TPTP_ind(scratc763941489rdsucc,X0) != scratc160717255ptyset) # label(fact_neq__ordsucc__0) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 203 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,X22),aa_fun1431113780TP_ind(scratc485787628_d_Sep(X0),X12))) -> pp(aa_TPTP_ind_bool(X12,X22)))) # label(fact_k__SepE2) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 204 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,X22),aa_fun1431113780TP_ind(scratc485787628_d_Sep(X0),X12))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,X22),X0)))) # label(fact_k__SepE1) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 205 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,X22),X0)) -> (pp(aa_TPTP_ind_bool(X12,X22)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,X22),aa_fun1431113780TP_ind(scratc485787628_d_Sep(X0),X12)))))) # label(fact_k__SepI) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 206 (all X0 pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,X0),aa_TPTP_ind_TPTP_ind(scratc1634390547_power,X0)))) # label(fact_k__Self__In__Power) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 207 (all X0 all X12 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc804022307d_Subq,X12),X0)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,X12),aa_TPTP_ind_TPTP_ind(scratc1634390547_power,X0))))) # label(fact_k__PowerI) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 208 (all X0 all X12 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,X12),aa_TPTP_ind_TPTP_ind(scratc1634390547_power,X0))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc804022307d_Subq,X12),X0)))) # label(fact_k__PowerE) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 209 (all X0 all X12 all X22 (gg_TPTP_ind(X12) & gg_TPTP_ind(X22) -> aa_TPTP_ind_TPTP_ind(scratc1157037871bnd_if(X0,X12),X22) = X12 | aa_TPTP_ind_TPTP_ind(scratc1157037871bnd_if(X0,X12),X22) = X22)) # label(fact_if__i__or) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 210 (all X0 all X12 all X22 (gg_TPTP_ind(X12) -> (pp(X0) -> aa_TPTP_ind_TPTP_ind(scratc1157037871bnd_if(X0,X12),X22) = X12))) # label(fact_if__i__1) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 211 (all X0 all X12 all X22 (gg_TPTP_ind(X22) -> (-pp(X0) -> aa_TPTP_ind_TPTP_ind(scratc1157037871bnd_if(X0,X12),X22) = X22))) # label(fact_if__i__0) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 212 (all X0 all X12 all X22 (gg_TPTP_ind(X12) & gg_TPTP_ind(X22) -> pp(X0) & aa_TPTP_ind_TPTP_ind(scratc1157037871bnd_if(X0,X12),X22) = X12 | -pp(X0) & aa_TPTP_ind_TPTP_ind(scratc1157037871bnd_if(X0,X12),X22) = X22)) # label(fact_if__i__correct) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 213 (all X0 pp(aa_TPTP_ind_bool(scratc108452266closed,aa_TPTP_ind_TPTP_ind(scratc1934284463univof,X0)))) # label(fact_k__UnivOf__ZF__closed) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 214 (all X0 pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,X0),aa_TPTP_ind_TPTP_ind(scratc1934284463univof,X0)))) # label(fact_k__UnivOf__In) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 215 (all X0 all X12 all X22 (gg_TPTP_ind(X22) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1966848737d_repl,X0),X12))) <-> (exists X3 (gg_TPTP_ind(X3) & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,X3),X0)) & X22 = aa_TPTP_ind_TPTP_ind(X12,X3)))))) # label(fact_k__ReplEq) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 216 (all X0 all X12 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,X12),aa_TPTP_ind_TPTP_ind(scratc1634390547_power,X0))) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc804022307d_Subq,X12),X0)))) # label(fact_k__PowerEq) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 217 (all X0 all X12 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,X12),aa_TPTP_ind_TPTP_ind(scratc2141652413_union,X0))) <-> (exists X2 (gg_TPTP_ind(X2) & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,X12),X2)) & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,X2),X0)))))) # label(fact_k__UnionEq) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 218 -(exists X0 pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,X0),scratc160717255ptyset))) # label(fact_k__EmptyAx) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 219 (all X0 ((all X13 (gg_TPTP_ind(X13) -> ((all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_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].
% 1.12/1.49 220 (all X0 all X12 (gg_TPTP_ind(X0) & gg_TPTP_ind(X12) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc804022307d_Subq,X0),X12)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc804022307d_Subq,X12),X0)) -> X0 = X12)))) # label(fact_set__ext) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 221 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pi,Uu)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2054232902nd_nis,Uu),scratc941299317nd_n_1)) -> pp(aa_fun171081125l_bool(scratc1535801008n_some,aa_TPT43085870d_bool(aTP_Lamm_ap,Uu)))))) # label(fact_ATP_Olambda__1) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 222 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ph,Uu)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2054232902nd_nis,Uu),scratc941299317nd_n_1)) -> pp(aa_fun171081125l_bool(scratc142805162_n_one,aa_TPT43085870d_bool(aTP_Lamm_ap,Uu)))))) # label(fact_ATP_Olambda__2) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 223 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pe,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uu),scratc941299317nd_n_1)),aa_TPTP_ind_TPTP_ind(scratc763941489rdsucc,Uu))))) # label(fact_ATP_Olambda__3) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 224 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hg,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uu),scratc941299317nd_n_1)),Uu)))) # label(fact_ATP_Olambda__4) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 225 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pb,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(scratc941299317nd_n_1),Uu)),aa_TPTP_ind_TPTP_ind(scratc763941489rdsucc,Uu))))) # label(fact_ATP_Olambda__5) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 226 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hd,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(scratc941299317nd_n_1),Uu)),Uu)))) # label(fact_ATP_Olambda__6) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 227 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pg,Uu)) <-> pp(aa_fun171081125l_bool(scratc2062822388nd_one(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1040373963d_d_Pi,scratc2053708111nd_nat),aTP_Lamm_aj)),aa_TPT43085870d_bool(aTP_Lamm_pf,Uu))))) # label(fact_ATP_Olambda__7) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 228 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hi,Uu)) <-> pp(aa_fun171081125l_bool(scratc2062822388nd_one(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1040373963d_d_Pi,scratc2053708111nd_nat),aTP_Lamm_aj)),aa_TPT43085870d_bool(aTP_Lamm_hh,Uu))))) # label(fact_ATP_Olambda__8) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 229 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_po,Uu)) <-> (pp(aa_TPTP_ind_bool(scratc1778021117_cond1,Uu)) -> (pp(aa_TPTP_ind_bool(scratc1778021118_cond2,Uu)) -> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_pn,Uu))))))) # label(fact_ATP_Olambda__9) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 230 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_oy,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,aa_TPTP_ind_TPTP_ind(scratc763941489rdsucc,Uu)),aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uu),scratc941299317nd_n_1))))) # label(fact_ATP_Olambda__10) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 231 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ov,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,aa_TPTP_ind_TPTP_ind(scratc763941489rdsucc,Uu)),aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(scratc941299317nd_n_1),Uu))))) # label(fact_ATP_Olambda__11) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 232 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lv,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1716341305_29_ii,aa_TPTP_ind_TPTP_ind(scratc763941489rdsucc,Uu)),Uu)))) # label(fact_ATP_Olambda__12) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 233 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pj,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2054232902nd_nis,aa_TPTP_ind_TPTP_ind(scratc763941489rdsucc,Uu)),Uu)))) # label(fact_ATP_Olambda__13) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 234 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ps,Uu)) <-> scratc1614583475_is_of(aa_TPTP_ind_TPTP_ind(scratc763941489rdsucc,Uu),aTP_Lamm_cn))) # label(fact_ATP_Olambda__14) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 235 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ia,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1716341305_29_ii,aa_TPTP_ind_TPTP_ind(scratc763941489rdsucc,Uu)),scratc941299317nd_n_1)))) # label(fact_ATP_Olambda__15) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 236 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pr,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2054232902nd_nis,aa_TPTP_ind_TPTP_ind(scratc763941489rdsucc,Uu)),scratc941299317nd_n_1)))) # label(fact_ATP_Olambda__16) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 237 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ha,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,Uu),aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uu),scratc941299317nd_n_1))))) # label(fact_ATP_Olambda__17) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 238 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gx,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,Uu),aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(scratc941299317nd_n_1),Uu))))) # label(fact_ATP_Olambda__18) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 239 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lu,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2012925367nd_iii,Uu),aa_TPTP_ind_TPTP_ind(scratc763941489rdsucc,Uu))))) # label(fact_ATP_Olambda__19) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 240 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pm,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,Uu),aa_TPTP_ind_TPTP_ind(scratc1634390547_power,scratc2053708111nd_nat))))) # label(fact_ATP_Olambda__20) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 241 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dd,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,Uu),Uu)))) # label(fact_ATP_Olambda__21) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 242 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ib,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc539785585moreis,Uu),scratc941299317nd_n_1)))) # label(fact_ATP_Olambda__22) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 243 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_a,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,Uu),scratc1296152512d_frac)))) # label(fact_ATP_Olambda__23) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 244 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cn,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,Uu),scratc2053708111nd_nat)))) # label(fact_ATP_Olambda__24) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 245 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pq,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_pp,Uu))))) # label(fact_ATP_Olambda__25) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 246 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pl,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_pk,Uu))))) # label(fact_ATP_Olambda__26) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 247 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pd,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_pc,Uu))))) # label(fact_ATP_Olambda__27) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 248 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pa,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_oz,Uu))))) # label(fact_ATP_Olambda__28) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 249 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ox,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_ow,Uu))))) # label(fact_ATP_Olambda__29) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 250 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ou,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_ot,Uu))))) # label(fact_ATP_Olambda__30) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 251 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_os,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_or,Uu))))) # label(fact_ATP_Olambda__31) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 252 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_op,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_oo,Uu))))) # label(fact_ATP_Olambda__32) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 253 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_on,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_om,Uu))))) # label(fact_ATP_Olambda__33) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 254 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ol,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_ok,Uu))))) # label(fact_ATP_Olambda__34) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 255 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_oi,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_oh,Uu))))) # label(fact_ATP_Olambda__35) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 256 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_of,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_oe,Uu))))) # label(fact_ATP_Olambda__36) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 257 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_od,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_oc,Uu))))) # label(fact_ATP_Olambda__37) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 258 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nz,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_ny,Uu))))) # label(fact_ATP_Olambda__38) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 259 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nx,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_nw,Uu))))) # label(fact_ATP_Olambda__39) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 260 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nv,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_nu,Uu))))) # label(fact_ATP_Olambda__40) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 261 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nt,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_ns,Uu))))) # label(fact_ATP_Olambda__41) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 262 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nr,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_nq,Uu))))) # label(fact_ATP_Olambda__42) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 263 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_np,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_no,Uu))))) # label(fact_ATP_Olambda__43) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 264 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nn,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_nm,Uu))))) # label(fact_ATP_Olambda__44) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 265 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nl,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_nk,Uu))))) # label(fact_ATP_Olambda__45) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 266 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nj,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_ni,Uu))))) # label(fact_ATP_Olambda__46) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 267 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nh,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_ng,Uu))))) # label(fact_ATP_Olambda__47) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 268 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nf,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_ne,Uu))))) # label(fact_ATP_Olambda__48) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 269 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nd,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_nc,Uu))))) # label(fact_ATP_Olambda__49) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 270 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nb,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_na,Uu))))) # label(fact_ATP_Olambda__50) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 271 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mz,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_my,Uu))))) # label(fact_ATP_Olambda__51) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 272 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mx,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_mw,Uu))))) # label(fact_ATP_Olambda__52) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 273 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mv,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_mu,Uu))))) # label(fact_ATP_Olambda__53) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 274 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mt,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_ms,Uu))))) # label(fact_ATP_Olambda__54) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 275 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mr,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_mq,Uu))))) # label(fact_ATP_Olambda__55) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 276 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mo,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_mn,Uu))))) # label(fact_ATP_Olambda__56) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 277 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ml,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_mk,Uu))))) # label(fact_ATP_Olambda__57) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 278 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mi,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_mh,Uu))))) # label(fact_ATP_Olambda__58) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 279 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mf,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_me,Uu))))) # label(fact_ATP_Olambda__59) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 280 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mc,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_mb,Uu))))) # label(fact_ATP_Olambda__60) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 281 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lz,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_ly,Uu))))) # label(fact_ATP_Olambda__61) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 282 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lx,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_lw,Uu))))) # label(fact_ATP_Olambda__62) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 283 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lt,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_ls,Uu))))) # label(fact_ATP_Olambda__63) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 284 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lq,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_lp,Uu))))) # label(fact_ATP_Olambda__64) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 285 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ln,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_lm,Uu))))) # label(fact_ATP_Olambda__65) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 286 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lk,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_lj,Uu))))) # label(fact_ATP_Olambda__66) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 287 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lh,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_lg,Uu))))) # label(fact_ATP_Olambda__67) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 288 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_le,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_ld,Uu))))) # label(fact_ATP_Olambda__68) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 289 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lb,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_la,Uu))))) # label(fact_ATP_Olambda__69) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 290 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kx,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_kw,Uu))))) # label(fact_ATP_Olambda__70) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 291 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kt,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_ks,Uu))))) # label(fact_ATP_Olambda__71) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 292 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kp,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_ko,Uu))))) # label(fact_ATP_Olambda__72) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 293 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kl,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_kk,Uu))))) # label(fact_ATP_Olambda__73) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 294 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ki,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_kh,Uu))))) # label(fact_ATP_Olambda__74) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 295 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kf,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_ke,Uu))))) # label(fact_ATP_Olambda__75) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 296 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kc,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_kb,Uu))))) # label(fact_ATP_Olambda__76) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 297 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jz,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_jy,Uu))))) # label(fact_ATP_Olambda__77) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 298 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jw,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_jv,Uu))))) # label(fact_ATP_Olambda__78) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 299 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jt,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_js,Uu))))) # label(fact_ATP_Olambda__79) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 300 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jq,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_jp,Uu))))) # label(fact_ATP_Olambda__80) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 301 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jn,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_jm,Uu))))) # label(fact_ATP_Olambda__81) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 302 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jk,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_jj,Uu))))) # label(fact_ATP_Olambda__82) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 303 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jh,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_jg,Uu))))) # label(fact_ATP_Olambda__83) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 304 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jd,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_jc,Uu))))) # label(fact_ATP_Olambda__84) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 305 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_iz,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_iy,Uu))))) # label(fact_ATP_Olambda__85) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 306 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_iv,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_iu,Uu))))) # label(fact_ATP_Olambda__86) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 307 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ir,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_iq,Uu))))) # label(fact_ATP_Olambda__87) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 308 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_in,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_im,Uu))))) # label(fact_ATP_Olambda__88) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 309 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ij,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_ii,Uu))))) # label(fact_ATP_Olambda__89) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 310 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_if,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_ie,Uu))))) # label(fact_ATP_Olambda__90) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 311 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hy,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_hx,Uu))))) # label(fact_ATP_Olambda__91) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 312 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hw,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_hv,Uu))))) # label(fact_ATP_Olambda__92) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 313 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hu,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_ht,Uu))))) # label(fact_ATP_Olambda__93) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 314 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hs,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_hr,Uu))))) # label(fact_ATP_Olambda__94) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 315 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hq,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_hp,Uu))))) # label(fact_ATP_Olambda__95) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 316 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ho,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_hn,Uu))))) # label(fact_ATP_Olambda__96) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 317 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hm,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_hl,Uu))))) # label(fact_ATP_Olambda__97) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 318 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hk,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_hj,Uu))))) # label(fact_ATP_Olambda__98) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 319 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hf,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_he,Uu))))) # label(fact_ATP_Olambda__99) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 320 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hc,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_hb,Uu))))) # label(fact_ATP_Olambda__100) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 321 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gz,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_gy,Uu))))) # label(fact_ATP_Olambda__101) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 322 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gw,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_gv,Uu))))) # label(fact_ATP_Olambda__102) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 323 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gu,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_gt,Uu))))) # label(fact_ATP_Olambda__103) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 324 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gs,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_gr,Uu))))) # label(fact_ATP_Olambda__104) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 325 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gp,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_go,Uu))))) # label(fact_ATP_Olambda__105) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 326 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gm,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_gl,Uu))))) # label(fact_ATP_Olambda__106) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 327 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gj,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_gi,Uu))))) # label(fact_ATP_Olambda__107) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 328 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gg,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_gf,Uu))))) # label(fact_ATP_Olambda__108) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 329 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gd,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_gc,Uu))))) # label(fact_ATP_Olambda__109) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 330 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ga,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_fz,Uu))))) # label(fact_ATP_Olambda__110) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 331 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fx,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_fw,Uu))))) # label(fact_ATP_Olambda__111) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 332 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fu,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_ft,Uu))))) # label(fact_ATP_Olambda__112) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 333 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fq,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_fp,Uu))))) # label(fact_ATP_Olambda__113) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 334 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fm,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_fl,Uu))))) # label(fact_ATP_Olambda__114) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 335 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fi,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_fh,Uu))))) # label(fact_ATP_Olambda__115) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 336 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fe,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_fd,Uu))))) # label(fact_ATP_Olambda__116) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.49 337 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fb,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_fa,Uu))))) # label(fact_ATP_Olambda__117) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 338 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ey,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_ex,Uu))))) # label(fact_ATP_Olambda__118) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 339 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ev,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_eu,Uu))))) # label(fact_ATP_Olambda__119) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 340 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_es,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_er,Uu))))) # label(fact_ATP_Olambda__120) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 341 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ep,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_eo,Uu))))) # label(fact_ATP_Olambda__121) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 342 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_em,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_el,Uu))))) # label(fact_ATP_Olambda__122) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 343 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ej,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_ei,Uu))))) # label(fact_ATP_Olambda__123) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 344 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ef,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_ee,Uu))))) # label(fact_ATP_Olambda__124) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 345 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_eb,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_ea,Uu))))) # label(fact_ATP_Olambda__125) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 346 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dx,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_dw,Uu))))) # label(fact_ATP_Olambda__126) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 347 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dt,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_ds,Uu))))) # label(fact_ATP_Olambda__127) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 348 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dp,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_do,Uu))))) # label(fact_ATP_Olambda__128) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 349 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dl,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_dk,Uu))))) # label(fact_ATP_Olambda__129) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 350 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dh,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_dg,Uu))))) # label(fact_ATP_Olambda__130) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 351 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cx,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_cw,Uu))))) # label(fact_ATP_Olambda__131) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 352 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cv,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_cu,Uu))))) # label(fact_ATP_Olambda__132) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 353 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ct,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_cs,Uu))))) # label(fact_ATP_Olambda__133) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 354 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cq,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_cp,Uu))))) # label(fact_ATP_Olambda__134) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 355 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dc,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_db,Uu))))) # label(fact_ATP_Olambda__135) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 356 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_da,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cz,Uu))))) # label(fact_ATP_Olambda__136) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 357 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cm,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cl,Uu))))) # label(fact_ATP_Olambda__137) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 358 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ck,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cj,Uu))))) # label(fact_ATP_Olambda__138) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 359 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ci,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ch,Uu))))) # label(fact_ATP_Olambda__139) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 360 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cg,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cf,Uu))))) # label(fact_ATP_Olambda__140) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 361 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ce,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cd,Uu))))) # label(fact_ATP_Olambda__141) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 362 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cc,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cb,Uu))))) # label(fact_ATP_Olambda__142) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 363 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ad,Uu)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ac,Uu))))) # label(fact_ATP_Olambda__143) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 364 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hz,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2012925367nd_iii,scratc941299317nd_n_1),aa_TPTP_ind_TPTP_ind(scratc763941489rdsucc,Uu))))) # label(fact_ATP_Olambda__144) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 365 (all Uu aa_TPT494704832TP_ind(aTP_Lamm_bt,Uu) = aa_TPT494704832TP_ind(scratc1966848737d_repl,aa_TPTP_ind_TPTP_ind(scratc1436300448tminus(Uu),aa_TPTP_ind_TPTP_ind(scratc705671425d_Sing,scratc160717255ptyset)))) # label(fact_ATP_Olambda__145) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 366 (all Uu (gg_TPTP_ind(Uu) -> (pp(aa_TPTP_ind_bool(aTP_Lamm_ar,Uu)) <-> Uu != scratc160717255ptyset))) # label(fact_ATP_Olambda__146) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 367 (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(scratc1530779102d_Inj1,X2) = Uu))))) # label(fact_ATP_Olambda__147) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 368 (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(scratc1530779101d_Inj0,X2) = Uu))))) # label(fact_ATP_Olambda__148) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 369 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nu,Uu),Uua)) <-> scratc540265856_orec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1716341305_29_ii,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2012925367nd_iii,Uu),Uua)))) # label(fact_ATP_Olambda__149) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 370 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cl,Uu),Uua)) <-> scratc540265856_orec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2123035643_lessf,Uu),Uua)))) # label(fact_ATP_Olambda__150) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 371 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ns,Uu),Uua)) <-> pp(scratc2063084734nd_or3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1716341305_29_ii,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2012925367nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__151) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 372 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cj,Uu),Uua)) <-> pp(scratc2063084734nd_or3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2123035643_lessf,Uu),Uua))))) # label(fact_ATP_Olambda__152) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 373 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nq,Uu),Uua)) <-> pp(scratc1979485699nd_ec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1716341305_29_ii,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2012925367nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__153) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 374 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ch,Uu),Uua)) <-> pp(scratc1979485699nd_ec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2123035643_lessf,Uu),Uua))))) # label(fact_ATP_Olambda__154) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 375 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_oc,Uu),Uua)) <-> scratc540265856_orec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,Uu),Uua),aa_fun171081125l_bool(scratc1535801008n_some,aa_TPT43085870d_bool(aTP_Lamm_oa(Uu),Uua)),aa_fun171081125l_bool(scratc1535801008n_some,aa_TPT43085870d_bool(aTP_Lamm_ob(Uu),Uua))))) # label(fact_ATP_Olambda__155) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 376 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ny,Uu),Uua)) <-> pp(scratc2063084734nd_or3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,Uu),Uua),aa_fun171081125l_bool(scratc1535801008n_some,aa_TPT43085870d_bool(scratc1442614202ffprop(Uu),Uua)),aa_fun171081125l_bool(scratc1535801008n_some,aa_TPT43085870d_bool(scratc1442614202ffprop(Uua),Uu)))))) # label(fact_ATP_Olambda__156) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 377 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nw,Uu),Uua)) <-> pp(scratc1979485699nd_ec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,Uu),Uua),aa_fun171081125l_bool(scratc1535801008n_some,aa_TPT43085870d_bool(scratc1442614202ffprop(Uu),Uua)),aa_fun171081125l_bool(scratc1535801008n_some,aa_TPT43085870d_bool(scratc1442614202ffprop(Uua),Uu)))))) # label(fact_ATP_Olambda__157) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 378 (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(scratc34094589d_e_is(Uu),Uua),Uua)))) # label(fact_ATP_Olambda__158) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 379 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cu,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1700041800d_n_fr,aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(aa_TPTP_ind_TPTP_ind(scratc2055020084nd_num,Uu)),Uua)),aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1971355451nd_den,Uu)),Uua))),Uu)))) # label(fact_ATP_Olambda__159) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 380 (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(scratc1700238598d_n_is,aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uu),Uua)),Uua)),aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(aa_TPTP_ind_TPTP_ind(scratc763941489rdsucc,Uu)),Uua))))) # label(fact_ATP_Olambda__160) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 381 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gy,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uu),Uua)),Uu)),aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uu),aa_TPTP_ind_TPTP_ind(scratc763941489rdsucc,Uua)))))) # label(fact_ATP_Olambda__161) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 382 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pf,Uu),Uua)) <-> pp(scratc602039077_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1156513089bnd_ap,Uua),scratc941299317nd_n_1)),aa_TPTP_ind_TPTP_ind(scratc763941489rdsucc,Uu)),aa_fun171081125l_bool(scratc27012901_n_all,aa_TPT43085870d_bool(aTP_Lamm_ao,Uua)))))) # label(fact_ATP_Olambda__162) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 383 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hl,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1716341305_29_ii,aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uua),scratc941299317nd_n_1)),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc539785585moreis,Uua),Uu))))) # label(fact_ATP_Olambda__163) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 384 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hh,Uu),Uua)) <-> pp(scratc602039077_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1156513089bnd_ap,Uua),scratc941299317nd_n_1)),Uu),aa_fun171081125l_bool(scratc27012901_n_all,aa_TPT43085870d_bool(aTP_Lamm_am(Uu),Uua)))))) # label(fact_ATP_Olambda__164) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 385 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pp,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,aa_TPTP_ind_TPTP_ind(scratc763941489rdsucc,Uu)),aa_TPTP_ind_TPTP_ind(scratc763941489rdsucc,Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,Uu),Uua))))) # label(fact_ATP_Olambda__165) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 386 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hb,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(aa_TPTP_ind_TPTP_ind(scratc763941489rdsucc,Uu)),Uua)),aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uu),Uua)),Uua))))) # label(fact_ATP_Olambda__166) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 387 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hj,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1716341305_29_ii,aa_TPTP_ind_TPTP_ind(scratc763941489rdsucc,Uua)),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc539785585moreis,Uua),Uu))))) # label(fact_ATP_Olambda__167) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 388 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_oz,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(aa_TPTP_ind_TPTP_ind(scratc763941489rdsucc,Uu)),Uua)),aa_TPTP_ind_TPTP_ind(scratc763941489rdsucc,aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uu),Uua)))))) # label(fact_ATP_Olambda__168) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 389 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hp,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2012925367nd_iii,Uua),aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uu),scratc941299317nd_n_1))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc405801973lessis,Uua),Uu))))) # label(fact_ATP_Olambda__169) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 390 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_he,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uu),aa_TPTP_ind_TPTP_ind(scratc763941489rdsucc,Uua))),aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uu),Uua)),Uu))))) # label(fact_ATP_Olambda__170) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 391 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hn,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2012925367nd_iii,Uua),aa_TPTP_ind_TPTP_ind(scratc763941489rdsucc,Uu))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc405801973lessis,Uua),Uu))))) # label(fact_ATP_Olambda__171) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 392 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pc,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uu),aa_TPTP_ind_TPTP_ind(scratc763941489rdsucc,Uua))),aa_TPTP_ind_TPTP_ind(scratc763941489rdsucc,aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uu),Uua)))))) # label(fact_ATP_Olambda__172) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 393 (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(scratc1700238598d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1156513089bnd_ap,Uu),aa_TPTP_ind_TPTP_ind(scratc763941489rdsucc,Uua))),aa_TPTP_ind_TPTP_ind(scratc763941489rdsucc,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1156513089bnd_ap,Uu),Uua)))))) # label(fact_ATP_Olambda__173) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 394 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ht,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2012925367nd_iii,Uua),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc405801973lessis,aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uua),scratc941299317nd_n_1)),Uu))))) # label(fact_ATP_Olambda__174) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 395 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pk,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2054232902nd_nis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2054232902nd_nis,aa_TPTP_ind_TPTP_ind(scratc763941489rdsucc,Uu)),aa_TPTP_ind_TPTP_ind(scratc763941489rdsucc,Uua)))))) # label(fact_ATP_Olambda__175) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 396 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aq,Uu),Uua)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc2013187770nd_imp,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238593d_n_in,Uua),Uu)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238593d_n_in,aa_TPTP_ind_TPTP_ind(scratc763941489rdsucc,Uua)),Uu))))) # label(fact_ATP_Olambda__176) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 397 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hr,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2012925367nd_iii,Uua),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc405801973lessis,aa_TPTP_ind_TPTP_ind(scratc763941489rdsucc,Uua)),Uu))))) # label(fact_ATP_Olambda__177) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 398 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hx,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1716341305_29_ii,Uua),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc539785585moreis,Uua),aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uu),scratc941299317nd_n_1)))))) # label(fact_ATP_Olambda__178) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 399 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hv,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1716341305_29_ii,Uua),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc539785585moreis,Uua),aa_TPTP_ind_TPTP_ind(scratc763941489rdsucc,Uu)))))) # label(fact_ATP_Olambda__179) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 400 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gt,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uua),Uu))))) # label(fact_ATP_Olambda__180) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 401 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_oo,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uua),Uu))))) # label(fact_ATP_Olambda__181) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 402 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_no,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1716341305_29_ii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2012925367nd_iii,Uua),Uu))))) # label(fact_ATP_Olambda__182) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 403 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nk,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc539785585moreis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc405801973lessis,Uua),Uu))))) # label(fact_ATP_Olambda__183) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 404 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ni,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc405801973lessis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc539785585moreis,Uua),Uu))))) # label(fact_ATP_Olambda__184) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 405 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cf,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2123035643_lessf,Uua),Uu))))) # label(fact_ATP_Olambda__185) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 406 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cd,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2123035643_lessf,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,Uua),Uu))))) # label(fact_ATP_Olambda__186) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 407 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_db,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,Uua),Uu))))) # label(fact_ATP_Olambda__187) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 408 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nm,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2012925367nd_iii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1716341305_29_ii,Uua),Uu))))) # label(fact_ATP_Olambda__188) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 409 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_my,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1716341305_29_ii,Uu),Uua)) -> pp(scratc709504257_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc405801973lessis,Uu),Uua)))))) # label(fact_ATP_Olambda__189) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 410 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ng,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc539785585moreis,Uu),Uua)) -> pp(scratc709504257_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2012925367nd_iii,Uu),Uua)))))) # label(fact_ATP_Olambda__190) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 411 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ne,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc405801973lessis,Uu),Uua)) -> pp(scratc709504257_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1716341305_29_ii,Uu),Uua)))))) # label(fact_ATP_Olambda__191) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 412 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mw,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2012925367nd_iii,Uu),Uua)) -> pp(scratc709504257_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc539785585moreis,Uu),Uua)))))) # label(fact_ATP_Olambda__192) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 413 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ly,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1716341305_29_ii,aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uu),Uua)),Uu)))) # label(fact_ATP_Olambda__193) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 414 (all Uu all Uua aa_TPTP_ind_TPTP_ind(aTP_Lamm_ak(Uu),Uua) = aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1156513089bnd_ap,Uu),Uua)),Uua)) # label(fact_ATP_Olambda__194) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 415 (all Uu all Uua aa_TPTP_ind_TPTP_ind(aTP_Lamm_bq(Uu),Uua) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1966848737d_repl,aa_TPTP_ind_TPTP_ind(Uu,Uua)),aa_TPT1424761345TP_ind(scratc372169132d_pair,Uua))) # label(fact_ATP_Olambda__195) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 416 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pv,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aa_TPT43085870d_bool(aTP_Lamm_pt,Uu)),aa_TPT43085870d_bool(aTP_Lamm_pu(Uu),Uua))))) # label(fact_ATP_Olambda__196) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 417 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ot,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,aa_TPTP_ind_TPTP_ind(scratc763941489rdsucc,aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uu),Uua))),aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(aa_TPTP_ind_TPTP_ind(scratc763941489rdsucc,Uu)),Uua))))) # label(fact_ATP_Olambda__197) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 418 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ow,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,aa_TPTP_ind_TPTP_ind(scratc763941489rdsucc,aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uu),Uua))),aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uu),aa_TPTP_ind_TPTP_ind(scratc763941489rdsucc,Uua)))))) # label(fact_ATP_Olambda__198) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 419 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nc,Uu),Uua)) <-> (pp(scratc709504257_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1716341305_29_ii,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc405801973lessis,Uu),Uua))))) # label(fact_ATP_Olambda__199) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 420 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mu,Uu),Uua)) <-> (pp(scratc709504257_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc539785585moreis,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2012925367nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__200) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 421 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ms,Uu),Uua)) <-> (pp(scratc709504257_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc405801973lessis,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1716341305_29_ii,Uu),Uua))))) # label(fact_ATP_Olambda__201) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 422 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_na,Uu),Uua)) <-> (pp(scratc709504257_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2012925367nd_iii,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc539785585moreis,Uu),Uua))))) # label(fact_ATP_Olambda__202) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 423 (all Uu all Uua aa_fun277296641TP_ind(aa_TPT494704832TP_ind(aTP_Lamm_bu,Uu),Uua) = aa_TPTP_ind_TPTP_ind(scratc1520014906nunion(aa_TPTP_ind_TPTP_ind(scratc705671425d_Sing,scratc160717255ptyset)),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1966848737d_repl,Uu),Uua))) # label(fact_ATP_Olambda__203) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 424 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cw,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,Uu),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1700041800d_n_fr,aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(aa_TPTP_ind_TPTP_ind(scratc2055020084nd_num,Uu)),Uua)),aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1971355451nd_den,Uu)),Uua)))))) # label(fact_ATP_Olambda__204) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 425 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_om,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2054232902nd_nis,Uua),aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uu),Uua))))) # label(fact_ATP_Olambda__205) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 426 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lw,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2012925367nd_iii,Uu),aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uu),Uua))))) # label(fact_ATP_Olambda__206) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 427 (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(scratc1700238598d_n_is,Uu),aa_TPTP_ind_TPTP_ind(scratc763941489rdsucc,Uua))))) # label(fact_ATP_Olambda__207) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 428 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pt,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,Uua),aa_TPTP_ind_TPTP_ind(scratc1634390547_power,Uu))))) # label(fact_ATP_Olambda__208) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 429 (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(scratc405801973lessis,Uua),Uu)))) # label(fact_ATP_Olambda__209) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 430 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pn,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238593d_n_in,Uua),Uu)))) # label(fact_ATP_Olambda__210) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 431 (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(scratc2052133729nd_nIn,Uua),Uu)))) # label(fact_ATP_Olambda__211) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 432 (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(scratc1157037879bnd_in,Uua),Uu)))) # label(fact_ATP_Olambda__212) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 433 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_or,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_oq(Uu),Uua))))) # label(fact_ATP_Olambda__213) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 434 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ok,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_oj(Uu),Uua))))) # label(fact_ATP_Olambda__214) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 435 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_oh,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_og(Uu),Uua))))) # label(fact_ATP_Olambda__215) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 436 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mq,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_mp(Uu),Uua))))) # label(fact_ATP_Olambda__216) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 437 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mn,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_mm(Uu),Uua))))) # label(fact_ATP_Olambda__217) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 438 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mk,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_mj(Uu),Uua))))) # label(fact_ATP_Olambda__218) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 439 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mh,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_mg(Uu),Uua))))) # label(fact_ATP_Olambda__219) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 440 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_me,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_md(Uu),Uua))))) # label(fact_ATP_Olambda__220) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 441 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mb,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_ma(Uu),Uua))))) # label(fact_ATP_Olambda__221) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 442 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ls,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_lr(Uu),Uua))))) # label(fact_ATP_Olambda__222) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 443 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lp,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_lo(Uu),Uua))))) # label(fact_ATP_Olambda__223) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 444 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lm,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_ll(Uu),Uua))))) # label(fact_ATP_Olambda__224) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 445 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lj,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_li(Uu),Uua))))) # label(fact_ATP_Olambda__225) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 446 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lg,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_lf(Uu),Uua))))) # label(fact_ATP_Olambda__226) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 447 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ld,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_lc(Uu),Uua))))) # label(fact_ATP_Olambda__227) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 448 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_la,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_kz(Uu),Uua))))) # label(fact_ATP_Olambda__228) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 449 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kw,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_kv(Uu),Uua))))) # label(fact_ATP_Olambda__229) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 450 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ks,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_kr(Uu),Uua))))) # label(fact_ATP_Olambda__230) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 451 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ko,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_kn(Uu),Uua))))) # label(fact_ATP_Olambda__231) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 452 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kk,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_kj(Uu),Uua))))) # label(fact_ATP_Olambda__232) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 453 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kh,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_kg(Uu),Uua))))) # label(fact_ATP_Olambda__233) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 454 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ke,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_kd(Uu),Uua))))) # label(fact_ATP_Olambda__234) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 455 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kb,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_ka(Uu),Uua))))) # label(fact_ATP_Olambda__235) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 456 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jy,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_jx(Uu),Uua))))) # label(fact_ATP_Olambda__236) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 457 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jv,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_ju(Uu),Uua))))) # label(fact_ATP_Olambda__237) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 458 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_js,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_jr(Uu),Uua))))) # label(fact_ATP_Olambda__238) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 459 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jp,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_jo(Uu),Uua))))) # label(fact_ATP_Olambda__239) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 460 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jm,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_jl(Uu),Uua))))) # label(fact_ATP_Olambda__240) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 461 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jj,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_ji(Uu),Uua))))) # label(fact_ATP_Olambda__241) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 462 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jg,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_jf(Uu),Uua))))) # label(fact_ATP_Olambda__242) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 463 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jc,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_jb(Uu),Uua))))) # label(fact_ATP_Olambda__243) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 464 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_iy,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_ix(Uu),Uua))))) # label(fact_ATP_Olambda__244) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 465 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_iu,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_it(Uu),Uua))))) # label(fact_ATP_Olambda__245) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 466 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_iq,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_ip(Uu),Uua))))) # label(fact_ATP_Olambda__246) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 467 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_im,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_il(Uu),Uua))))) # label(fact_ATP_Olambda__247) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 468 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ii,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_ih(Uu),Uua))))) # label(fact_ATP_Olambda__248) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 469 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ie,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_id(Uu),Uua))))) # label(fact_ATP_Olambda__249) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 470 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gr,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_gq(Uu),Uua))))) # label(fact_ATP_Olambda__250) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 471 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_go,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_gn(Uu),Uua))))) # label(fact_ATP_Olambda__251) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 472 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gl,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_gk(Uu),Uua))))) # label(fact_ATP_Olambda__252) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 473 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gi,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_gh(Uu),Uua))))) # label(fact_ATP_Olambda__253) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 474 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gf,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_ge(Uu),Uua))))) # label(fact_ATP_Olambda__254) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 475 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gc,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_gb(Uu),Uua))))) # label(fact_ATP_Olambda__255) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 476 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fz,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_fy(Uu),Uua))))) # label(fact_ATP_Olambda__256) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 477 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fw,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_fv(Uu),Uua))))) # label(fact_ATP_Olambda__257) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 478 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ft,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_fs(Uu),Uua))))) # label(fact_ATP_Olambda__258) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 479 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fp,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_fo(Uu),Uua))))) # label(fact_ATP_Olambda__259) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 480 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fl,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_fk(Uu),Uua))))) # label(fact_ATP_Olambda__260) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 481 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fh,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_fg(Uu),Uua))))) # label(fact_ATP_Olambda__261) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 482 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fd,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_fc(Uu),Uua))))) # label(fact_ATP_Olambda__262) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 483 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fa,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_ez(Uu),Uua))))) # label(fact_ATP_Olambda__263) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 484 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ex,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_ew(Uu),Uua))))) # label(fact_ATP_Olambda__264) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 485 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_eu,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_et(Uu),Uua))))) # label(fact_ATP_Olambda__265) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 486 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_er,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_eq(Uu),Uua))))) # label(fact_ATP_Olambda__266) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 487 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_eo,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_en(Uu),Uua))))) # label(fact_ATP_Olambda__267) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 488 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_el,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_ek(Uu),Uua))))) # label(fact_ATP_Olambda__268) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 489 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ei,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_eh(Uu),Uua))))) # label(fact_ATP_Olambda__269) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 490 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ee,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_ed(Uu),Uua))))) # label(fact_ATP_Olambda__270) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 491 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ea,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_dz(Uu),Uua))))) # label(fact_ATP_Olambda__271) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 492 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dw,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_dv(Uu),Uua))))) # label(fact_ATP_Olambda__272) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 493 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ds,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_dr(Uu),Uua))))) # label(fact_ATP_Olambda__273) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 494 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_do,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_dn(Uu),Uua))))) # label(fact_ATP_Olambda__274) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 495 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dk,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_dj(Uu),Uua))))) # label(fact_ATP_Olambda__275) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 496 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dg,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_df(Uu),Uua))))) # label(fact_ATP_Olambda__276) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 497 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cs,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_cr(Uu),Uua))))) # label(fact_ATP_Olambda__277) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 498 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cp,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aTP_Lamm_co(Uu),Uua))))) # label(fact_ATP_Olambda__278) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 499 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cz,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cy(Uu),Uua))))) # label(fact_ATP_Olambda__279) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 500 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cb,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ca(Uu),Uua))))) # label(fact_ATP_Olambda__280) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 501 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ac,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab(Uu),Uua))))) # label(fact_ATP_Olambda__281) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 502 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_oe,Uu),Uua)) <-> pp(scratc94119336_amone(scratc2053708111nd_nat,aa_TPT43085870d_bool(aTP_Lamm_oa(Uu),Uua))))) # label(fact_ATP_Olambda__282) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 503 (all Uu all Uua aa_TPTP_ind_TPTP_ind(aTP_Lamm_an(Uu),Uua) = aa_TPTP_ind_TPTP_ind(scratc763941489rdsucc,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1156513089bnd_ap,Uu),Uua))) # label(fact_ATP_Olambda__283) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 504 (all Uu all Uua aa_TPTP_ind_TPTP_ind(aTP_Lamm_bn(Uu),Uua) = aa_TPTP_ind_TPTP_ind(scratc2141652413_union,aa_TPTP_ind_TPTP_ind(Uu,Uua))) # label(fact_ATP_Olambda__284) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 505 (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(scratc372169132d_pair,Uu),X3)))))) # label(fact_ATP_Olambda__285) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 506 (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(scratc34094589d_e_is(aa_TPTP_ind_TPTP_ind(scratc397864583etprod(Uu),Uua)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1801443692d_pair(Uu,Uua),aa_TPTP_ind_TPTP_ind(scratc547220862_first(Uu,Uua),Uub)),aa_TPTP_ind_TPTP_ind(scratc1225157606second(Uu,Uua),Uub))),Uub)))) # label(fact_ATP_Olambda__286) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 507 (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(scratc1157037871bnd_if(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,scratc160717255ptyset),Uub),Uu),Uua)) # label(fact_ATP_Olambda__287) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 508 (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(scratc1157037871bnd_if(aa_TPTP_ind_bool(Uua,Uub),Uub),scratc1980338550nd_eps(aa_fun1584354236d_bool(aTP_Lamm_bk(Uu),Uua)))) # label(fact_ATP_Olambda__288) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 509 (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(scratc525073205d_esti(Uu),Uub),Uua)))) # label(fact_ATP_Olambda__289) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 510 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_pw(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc525073205d_esti(Uu),Uub),aa_fun1431113780TP_ind(scratc485787628_d_Sep(Uu),Uua))) -> pp(aa_TPTP_ind_bool(Uua,Uub))))) # label(fact_ATP_Olambda__290) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 511 (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(scratc1457515648d_incl(Uu),Uua),Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1457515648d_incl(Uu),Uub),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc34094589d_e_is(aa_TPTP_ind_TPTP_ind(scratc1634390547_power,Uu)),Uua),Uub)))))) # label(fact_ATP_Olambda__291) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 512 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qe(Uu),Uua),Uub)) <-> scratc1614583475_is_of(aa_TPTP_ind_TPTP_ind(scratc1225157606second(Uu,Uua),Uub),aa_TPT43085870d_bool(aTP_Lamm_as,Uua)))) # label(fact_ATP_Olambda__292) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 513 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qf(Uu),Uua),Uub)) <-> scratc1614583475_is_of(aa_TPTP_ind_TPTP_ind(scratc547220862_first(Uu,Uua),Uub),aa_TPT43085870d_bool(aTP_Lamm_as,Uu)))) # label(fact_ATP_Olambda__293) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 514 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_ql(Uu),Uua),Uub)) <-> scratc1614583475_is_of(aa_TPTP_ind_TPTP_ind(scratc34094584d_e_in(Uu,Uua),Uub),aa_TPT43085870d_bool(aTP_Lamm_as,Uu)))) # label(fact_ATP_Olambda__294) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 515 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qp(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aa_TPT43085870d_bool(aTP_Lamm_qm(Uu),Uua)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_qo(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__295) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 516 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_co(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1700041800d_n_fr,aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uua),Uub))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1700041800d_n_fr,Uu),Uua))))) # label(fact_ATP_Olambda__296) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 517 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_eq(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1716341305_29_ii,aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1716341305_29_ii,Uu),Uua))))) # label(fact_ATP_Olambda__297) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 518 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jx(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1716341305_29_ii,aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1716341305_29_ii,Uu),Uua))))) # label(fact_ATP_Olambda__298) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 519 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jo(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1716341305_29_ii,aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uub),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1716341305_29_ii,Uu),Uua))))) # label(fact_ATP_Olambda__299) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 520 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_en(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,Uu),Uua))))) # label(fact_ATP_Olambda__300) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 521 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_og(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uu),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,Uua),Uub))))) # label(fact_ATP_Olambda__301) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 522 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ju(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,Uu),Uua))))) # label(fact_ATP_Olambda__302) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 523 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jl(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uub),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,Uu),Uua))))) # label(fact_ATP_Olambda__303) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 524 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ek(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2012925367nd_iii,aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2012925367nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__304) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 525 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jr(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2012925367nd_iii,aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2012925367nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__305) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 526 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ji(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2012925367nd_iii,aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uub),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2012925367nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__306) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 527 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gn(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uu),Uua)),Uub)),aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uu),aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__307) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 528 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_oq(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uu),Uua)),Uub)),aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uu),aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__308) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 529 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gq(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uu),aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uua),Uub))),aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uu),Uub)))))) # label(fact_ATP_Olambda__309) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 530 (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(scratc1700238598d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1156513089bnd_ap,Uua),aa_TPTP_ind_TPTP_ind(scratc763941489rdsucc,Uub))),aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1156513089bnd_ap,Uua),Uub)),Uu))))) # label(fact_ATP_Olambda__310) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 531 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cr(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1700041800d_n_fr,Uu),Uua)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1700041800d_n_fr,aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__311) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 532 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gk(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1716341305_29_ii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1716341305_29_ii,aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__312) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 533 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gb(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1716341305_29_ii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1716341305_29_ii,aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uub),Uua)))))) # label(fact_ATP_Olambda__313) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 534 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lr(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1716341305_29_ii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1716341305_29_ii,aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__314) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 535 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_li(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1716341305_29_ii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1716341305_29_ii,aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uub),Uua)))))) # label(fact_ATP_Olambda__315) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 536 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_md(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1716341305_29_ii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc539785585moreis,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1716341305_29_ii,Uu),Uub)))))) # label(fact_ATP_Olambda__316) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 537 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fc(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc539785585moreis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc539785585moreis,aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__317) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 538 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ez(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc539785585moreis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc539785585moreis,aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uub),Uua)))))) # label(fact_ATP_Olambda__318) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 539 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kj(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc539785585moreis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc539785585moreis,aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__319) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 540 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kg(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc539785585moreis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc539785585moreis,aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uub),Uua)))))) # label(fact_ATP_Olambda__320) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 541 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mg(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc539785585moreis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1716341305_29_ii,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1716341305_29_ii,Uu),Uub)))))) # label(fact_ATP_Olambda__321) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 542 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ew(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc405801973lessis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc405801973lessis,aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__322) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 543 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_et(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc405801973lessis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc405801973lessis,aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uub),Uua)))))) # label(fact_ATP_Olambda__323) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 544 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kd(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc405801973lessis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc405801973lessis,aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__324) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 545 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ka(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc405801973lessis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc405801973lessis,aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uub),Uua)))))) # label(fact_ATP_Olambda__325) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 546 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ma(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc405801973lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc405801973lessis,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc405801973lessis,Uu),Uub)))))) # label(fact_ATP_Olambda__326) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 547 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mm(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc405801973lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2012925367nd_iii,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2012925367nd_iii,Uu),Uub)))))) # label(fact_ATP_Olambda__327) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 548 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gh(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__328) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 549 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fy(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uub),Uua)))))) # label(fact_ATP_Olambda__329) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 550 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lo(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__330) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 551 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lf(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uub),Uua)))))) # label(fact_ATP_Olambda__331) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 552 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cy(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,Uu),Uub)))))) # label(fact_ATP_Olambda__332) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 553 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_oj(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2054232902nd_nis,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2054232902nd_nis,aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uu),Uub)))))) # label(fact_ATP_Olambda__333) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 554 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ge(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2012925367nd_iii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2012925367nd_iii,aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__334) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 555 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fv(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2012925367nd_iii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2012925367nd_iii,aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uub),Uua)))))) # label(fact_ATP_Olambda__335) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 556 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ll(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2012925367nd_iii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2012925367nd_iii,aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__336) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 557 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lc(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2012925367nd_iii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2012925367nd_iii,aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uub),Uua)))))) # label(fact_ATP_Olambda__337) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 558 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mj(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2012925367nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc405801973lessis,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2012925367nd_iii,Uu),Uub)))))) # label(fact_ATP_Olambda__338) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 559 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mp(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2012925367nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2012925367nd_iii,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2012925367nd_iii,Uu),Uub)))))) # label(fact_ATP_Olambda__339) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 560 (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(scratc1157037879bnd_in,Uub),Uu)) & pp(aa_TPTP_ind_bool(Uua,Uub)))) # label(fact_ATP_Olambda__340) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 561 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_qi(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(Uua,Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc504578793_image(aa_fun1431113780TP_ind(scratc485787628_d_Sep(Uu),Uua),Uu),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc124855443_Sigma,aa_fun1431113780TP_ind(scratc485787628_d_Sep(Uu),Uua)),scratc34094584d_e_in(Uu,Uua))),Uub))))) # label(fact_ATP_Olambda__341) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 562 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_px(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(Uua,Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc525073205d_esti(Uu),Uub),aa_fun1431113780TP_ind(scratc485787628_d_Sep(Uu),Uua)))))) # label(fact_ATP_Olambda__342) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 563 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_qr(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aa_TPT43085870d_bool(aTP_Lamm_as,Uu)),aa_TPT43085870d_bool(aa_fun1212484691d_bool(aTP_Lamm_qq(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__343) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 564 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_bm(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aa_TPT43085870d_bool(aTP_Lamm_as,Uu)),aa_TPT43085870d_bool(aa_fun1212484691d_bool(aTP_Lamm_bl(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__344) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 565 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qh(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aa_TPT43085870d_bool(aTP_Lamm_as,Uua)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_qg(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__345) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 566 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qb(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aa_TPT43085870d_bool(aTP_Lamm_as,Uua)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_qa(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__346) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 567 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pz(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aa_TPT43085870d_bool(aTP_Lamm_as,Uua)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_py(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__347) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 568 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qm(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,Uub),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1040373963d_d_Pi,Uu),aTP_Lamm_ah(Uua)))))) # label(fact_ATP_Olambda__348) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 569 (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(scratc1700238598d_n_is,Uu),aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uua),Uub))))) # label(fact_ATP_Olambda__349) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.50 570 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ob(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,Uua),aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uu),Uub))))) # label(fact_ATP_Olambda__350) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 571 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qc(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,Uub),aa_TPTP_ind_TPTP_ind(scratc397864583etprod(Uu),Uua))))) # label(fact_ATP_Olambda__351) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 572 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_qj(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,Uub),aa_fun1431113780TP_ind(scratc485787628_d_Sep(Uu),Uua))))) # label(fact_ATP_Olambda__352) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 573 (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(scratc1156513089bnd_ap,Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1156513089bnd_ap,Uu),Uub))) # label(fact_ATP_Olambda__353) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 574 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kz(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ky(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__354) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 575 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kv(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ku(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__355) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 576 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kr(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_kq(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__356) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 577 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kn(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_km(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__357) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 578 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jf(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_je(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__358) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 579 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jb(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ja(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__359) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 580 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ix(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_iw(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__360) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 581 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_it(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_is(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__361) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 582 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ip(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_io(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__362) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 583 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_il(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ik(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__363) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 584 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ih(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ig(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__364) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 585 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_id(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ic(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__365) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 586 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fs(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fr(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__366) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 587 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fo(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fn(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__367) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 588 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fk(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fj(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__368) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 589 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fg(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ff(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__369) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 590 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_eh(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_eg(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__370) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 591 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ed(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ec(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__371) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 592 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dz(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dy(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__372) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 593 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dv(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_du(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__373) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 594 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dr(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dq(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__374) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 595 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dn(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dm(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__375) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 596 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dj(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_di(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__376) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 597 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_df(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_cn),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_de(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__377) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 598 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ca(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bz(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__378) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 599 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__379) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 600 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_qk(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(Uua,aa_TPTP_ind_TPTP_ind(scratc34094584d_e_in(Uu,Uua),Uub))))) # label(fact_ATP_Olambda__380) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 601 (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(scratc1157037879bnd_in,X3),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1156513089bnd_ap,Uub),X3)),aa_TPTP_ind_TPTP_ind(Uua,X3)))))))) # label(fact_ATP_Olambda__381) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 602 (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(scratc2013646952nd_ite(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc34094589d_e_is(aa_TPTP_ind_TPTP_ind(scratc205880442_d_1to,scratc941299318nd_n_2)),Uuc),scratc1696565055d_n_1t),Uu,Uua),Uub)) # label(fact_ATP_Olambda__382) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 603 (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(scratc1157037871bnd_if(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc504578793_image(Uu,Uua),Uub),Uuc),aa_TPTP_ind_TPTP_ind(scratc681911356d_soft(Uu,Uua,Uub),Uuc)),scratc160717255ptyset)) # label(fact_ATP_Olambda__383) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 604 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_qa(Uu),Uua),Uub),Uuc)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc34094589d_e_is(Uu),aa_TPTP_ind_TPTP_ind(scratc547220862_first(Uu,Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1801443692d_pair(Uu,Uua),Uub),Uuc))),Uub)))) # label(fact_ATP_Olambda__384) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 605 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_py(Uu),Uua),Uub),Uuc)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc34094589d_e_is(Uua),aa_TPTP_ind_TPTP_ind(scratc1225157606second(Uu,Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1801443692d_pair(Uu,Uua),Uub),Uuc))),Uuc)))) # label(fact_ATP_Olambda__385) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 606 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_qn(Uu),Uua),Uub),Uuc)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc34094589d_e_is(Uu),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1156513089bnd_ap,Uua),Uuc)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1156513089bnd_ap,Uub),Uuc))))) # label(fact_ATP_Olambda__386) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 607 (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(scratc525073205d_esti(Uu),Uub),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1156513089bnd_ap,Uua),Uuc))))) # label(fact_ATP_Olambda__387) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 608 (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(scratc34094589d_e_is(Uu),Uub),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1156513089bnd_ap,Uua),Uuc))))) # label(fact_ATP_Olambda__388) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 609 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_qg(Uu),Uua),Uub),Uuc)) <-> scratc1614583475_is_of(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1801443692d_pair(Uu,Uua),Uub),Uuc),aa_TPT43085870d_bool(aTP_Lamm_qc(Uu),Uua)))) # label(fact_ATP_Olambda__389) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 610 (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(scratc1568331256d_l_ec(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc525073205d_esti(Uu),Uuc),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc525073205d_esti(Uu),Uuc),Uub))))) # label(fact_ATP_Olambda__390) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 611 (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(scratc2013187770nd_imp,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc525073205d_esti(Uu),Uuc),Uua)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc525073205d_esti(Uu),Uuc),Uub))))) # label(fact_ATP_Olambda__391) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 612 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_qo(Uu),Uua),Uub),Uuc)) <-> (pp(aa_fun171081125l_bool(scratc1681315558all_of(aa_TPT43085870d_bool(aTP_Lamm_as,Uu)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_qn(Uua),Uub),Uuc))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc34094589d_e_is(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1040373963d_d_Pi,Uu),aTP_Lamm_ah(Uua))),Uub),Uuc))))) # label(fact_ATP_Olambda__392) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 613 (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__393) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 614 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_eg(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1716341305_29_ii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1716341305_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1716341305_29_ii,aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__394) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 615 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_je(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1716341305_29_ii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1716341305_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1716341305_29_ii,aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__395) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 616 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_du(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1716341305_29_ii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc539785585moreis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1716341305_29_ii,aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__396) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 617 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_is(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1716341305_29_ii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc539785585moreis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1716341305_29_ii,aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__397) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 618 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dy(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc539785585moreis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1716341305_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1716341305_29_ii,aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__398) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 619 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_iw(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc539785585moreis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1716341305_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1716341305_29_ii,aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__399) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 620 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_di(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc539785585moreis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc539785585moreis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc539785585moreis,aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__400) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 621 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ig(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc539785585moreis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc539785585moreis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc539785585moreis,aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__401) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 622 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_de(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc405801973lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc405801973lessis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc405801973lessis,aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__402) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 623 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ic(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc405801973lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc405801973lessis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc405801973lessis,aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__403) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 624 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dq(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc405801973lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2012925367nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2012925367nd_iii,aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__404) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 625 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_io(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc405801973lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2012925367nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2012925367nd_iii,aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__405) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 626 (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(scratc321873791_moref,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,Uu),Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,Uua),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,Uub),Uuc))))))) # label(fact_ATP_Olambda__406) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 627 (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(scratc2123035643_lessf,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,Uu),Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,Uua),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2123035643_lessf,Uub),Uuc))))))) # label(fact_ATP_Olambda__407) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 628 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fr(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1716341305_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1716341305_29_ii,aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__408) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 629 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fn(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1716341305_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1716341305_29_ii,aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uuc),Uua))))))) # label(fact_ATP_Olambda__409) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 630 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ky(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1716341305_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1716341305_29_ii,aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__410) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 631 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ku(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1716341305_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1716341305_29_ii,aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uuc),Uua))))))) # label(fact_ATP_Olambda__411) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 632 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fj(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2012925367nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2012925367nd_iii,aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__412) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 633 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ff(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2012925367nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2012925367nd_iii,aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uuc),Uua))))))) # label(fact_ATP_Olambda__413) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 634 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_kq(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2012925367nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2012925367nd_iii,aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__414) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 635 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_km(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1700238598d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2012925367nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2012925367nd_iii,aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uuc),Uua))))))) # label(fact_ATP_Olambda__415) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 636 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dm(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2012925367nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc405801973lessis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2012925367nd_iii,aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__416) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 637 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ik(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2012925367nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc405801973lessis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2012925367nd_iii,aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__417) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 638 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ec(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2012925367nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2012925367nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2012925367nd_iii,aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1700960187d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__418) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 639 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ja(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2012925367nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2012925367nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2012925367nd_iii,aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1700697784d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__419) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 640 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_fun1212484691d_bool(aTP_Lamm_qq(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(Uua,Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc34094589d_e_is(Uu),Uub),Uuc)) -> pp(aa_TPTP_ind_bool(Uua,Uuc)))))) # label(fact_ATP_Olambda__420) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 641 (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(scratc34094589d_e_is(Uu),Uub),Uuc)))))) # label(fact_ATP_Olambda__421) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 642 (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(scratc1947030127nd_all(Uu),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_TPT1123896796d_bool(aTP_Lamm_bi(Uu),Uua),Uub),Uuc))))) # label(fact_ATP_Olambda__422) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 643 (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(scratc791976366l_some(Uua),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_az(Uu),Uub),Uuc))))) # label(fact_ATP_Olambda__423) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 644 (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(scratc1156513089bnd_ap,Uub),aa_TPTP_ind_TPTP_ind(scratc2031597538ght1to(Uu,Uua),Uuc))) # label(fact_ATP_Olambda__424) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 645 (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(scratc1156513089bnd_ap,Uub),aa_TPTP_ind_TPTP_ind(scratc532384627eft1to(Uu,Uua),Uuc))) # label(fact_ATP_Olambda__425) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 646 (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(scratc2013187770nd_imp,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc34094589d_e_is(Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1156513089bnd_ap,Uub),Uuc)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1156513089bnd_ap,Uub),Uud))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc34094589d_e_is(Uu),Uuc),Uud))))) # label(fact_ATP_Olambda__426) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 647 (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(scratc34094589d_e_is(Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1156513089bnd_ap,Uub),Uuc)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1156513089bnd_ap,Uub),Uud)))))) # label(fact_ATP_Olambda__427) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 648 (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(scratc1681315558all_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__428) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 649 (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(scratc1681315558all_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__429) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 650 (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(scratc1156513089bnd_ap,Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1156513089bnd_ap,aa_TPTP_ind_TPTP_ind(scratc465941675wissel(Uu,Uub),Uuc)),Uud))) # label(fact_ATP_Olambda__430) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 651 (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(scratc1681315558all_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__431) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 652 (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(scratc34094589d_e_is(Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1156513089bnd_ap,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1156513089bnd_ap,Uub),Uuc)),Uue)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1156513089bnd_ap,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1156513089bnd_ap,Uub),Uud)),Uuf))))))) # label(fact_ATP_Olambda__432) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 653 (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(scratc1681315558all_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__433) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 654 (all Uu all Uua (gg_TPTP_ind(Uu) -> aa_TPTP_ind_TPTP_ind(aTP_Lamm_ah(Uu),Uua) = Uu)) # label(fact_ATP_Olambda__434) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 655 (all Uu (gg_TPTP_ind(Uu) -> aa_TPTP_ind_TPTP_ind(aTP_Lamm_al,Uu) = Uu)) # label(fact_ATP_Olambda__435) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 656 (all Uu aa_TPTP_ind_TPTP_ind(aTP_Lamm_aj,Uu) = scratc2053708111nd_nat) # label(fact_ATP_Olambda__436) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.51 657 (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].
% 1.12/1.51 658 (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].
% 1.12/1.51 659 (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].
% 1.12/1.57 660 (all P (gg_bool(P) -> P = fTrue | P = fFalse)) # label(help_fFalse_1_1_T) # label(axiom) # label(non_clause). [assumption].
% 1.12/1.57 661 (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].
% 1.12/1.57 662 (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].
% 1.12/1.57 663 (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].
% 1.12/1.57 664 (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].
% 1.12/1.57 665 (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].
% 1.12/1.57 666 (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].
% 1.12/1.57 667 (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].
% 1.12/1.57 668 (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].
% 1.12/1.57 669 (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].
% 1.12/1.57
% 1.12/1.57 ============================== end of process non-clausal formulas ===
% 1.12/1.57
% 1.12/1.57 ============================== PROCESS INITIAL CLAUSES ===============
% 1.12/1.57
% 1.12/1.57 ============================== PREDICATE ELIMINATION =================
% 1.12/1.57 670 -gg_bool(A) | A = fTrue | A = fFalse # label(help_fFalse_1_1_T) # label(axiom). [clausify(660)].
% 1.12/1.57 671 gg_bool(undefined_bool(bool)) # label(gsy_c_HOL_Oundefined_001t__HOL__Obool) # label(axiom). [assumption].
% 1.12/1.57 672 gg_bool(scratc94119336_amone(A,B)) # label(gsy_c_Scratch__tptp__translate__55885__25112_ONUM738__thf__4__p_Obnd__amone) # label(axiom). [clausify(1)].
% 1.12/1.57 673 gg_bool(scratc602039077_d_and(A,B)) # label(gsy_c_Scratch__tptp__translate__55885__25112_ONUM738__thf__4__p_Obnd__d__and) # label(axiom). [clausify(2)].
% 1.12/1.57 674 gg_bool(scratc709504257_d_not(A)) # label(gsy_c_Scratch__tptp__translate__55885__25112_ONUM738__thf__4__p_Obnd__d__not) # label(axiom). [clausify(3)].
% 1.12/1.57 675 gg_bool(scratc1979485699nd_ec3(A,B,C)) # label(gsy_c_Scratch__tptp__translate__55885__25112_ONUM738__thf__4__p_Obnd__ec3) # label(axiom). [clausify(4)].
% 1.12/1.57 676 gg_bool(scratc1568331256d_l_ec(A,B)) # label(gsy_c_Scratch__tptp__translate__55885__25112_ONUM738__thf__4__p_Obnd__l__ec) # label(axiom). [clausify(8)].
% 1.12/1.57 677 gg_bool(scratc2063084734nd_or3(A,B,C)) # label(gsy_c_Scratch__tptp__translate__55885__25112_ONUM738__thf__4__p_Obnd__or3) # label(axiom). [clausify(9)].
% 1.12/1.57 678 gg_bool(aa_bool_bool(A,B)) # label(gsy_c_aa_001t__HOL__Obool_001t__HOL__Obool) # label(axiom). [clausify(10)].
% 1.12/1.57 679 gg_bool(aa_TPTP_ind_bool(A,B)) # label(gsy_c_aa_001t__TPTP____Interpret__Oind_001t__HOL__Obool) # label(axiom). [clausify(11)].
% 1.12/1.57 680 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)].
% 1.12/1.57 681 gg_bool(fEx_TPTP_ind(A)) # label(gsy_c_fEx_001t__TPTP____Interpret__Oind) # label(axiom). [clausify(16)].
% 1.12/1.57 682 gg_bool(fFalse) # label(gsy_c_fFalse) # label(axiom). [assumption].
% 2.65/2.91 683 gg_bool(fTrue) # label(gsy_c_fTrue) # label(axiom). [assumption].
% 2.65/2.91 Derived: undefined_bool(bool) = fTrue | undefined_bool(bool) = fFalse. [resolve(670,a,671,a)].
% 2.65/2.91 Derived: scratc94119336_amone(A,B) = fTrue | scratc94119336_amone(A,B) = fFalse. [resolve(670,a,672,a)].
% 2.65/2.91 Derived: scratc602039077_d_and(A,B) = fTrue | scratc602039077_d_and(A,B) = fFalse. [resolve(670,a,673,a)].
% 2.65/2.91 Derived: scratc709504257_d_not(A) = fTrue | scratc709504257_d_not(A) = fFalse. [resolve(670,a,674,a)].
% 2.65/2.91 Derived: scratc1979485699nd_ec3(A,B,C) = fTrue | scratc1979485699nd_ec3(A,B,C) = fFalse. [resolve(670,a,675,a)].
% 2.65/2.91 Derived: scratc1568331256d_l_ec(A,B) = fTrue | scratc1568331256d_l_ec(A,B) = fFalse. [resolve(670,a,676,a)].
% 2.65/2.91 Derived: scratc2063084734nd_or3(A,B,C) = fTrue | scratc2063084734nd_or3(A,B,C) = fFalse. [resolve(670,a,677,a)].
% 2.65/2.91 Derived: aa_bool_bool(A,B) = fTrue | aa_bool_bool(A,B) = fFalse. [resolve(670,a,678,a)].
% 2.65/2.91 Derived: aa_TPTP_ind_bool(A,B) = fTrue | aa_TPTP_ind_bool(A,B) = fFalse. [resolve(670,a,679,a)].
% 2.65/2.92 Derived: aa_fun171081125l_bool(A,B) = fTrue | aa_fun171081125l_bool(A,B) = fFalse. [resolve(670,a,680,a)].
% 2.65/2.92 Derived: fEx_TPTP_ind(A) = fTrue | fEx_TPTP_ind(A) = fFalse. [resolve(670,a,681,a)].
% 2.65/2.92 Derived: fFalse = fTrue | fFalse = fFalse. [resolve(670,a,682,a)].
% 2.65/2.92 Derived: fTrue = fTrue | fTrue = fFalse. [resolve(670,a,683,a)].
% 2.65/2.92 684 scratc1963266046d_r_ec(A,B) | pp(A) # label(fact_def__r__ec) # label(axiom). [clausify(91)].
% 2.65/2.92 685 -scratc1963266046d_r_ec(A,B) | -pp(A) | pp(scratc709504257_d_not(B)) # label(fact_def__r__ec) # label(axiom). [clausify(91)].
% 2.65/2.92 686 scratc1963266046d_r_ec(A,B) | -pp(scratc709504257_d_not(B)) # label(fact_def__r__ec) # label(axiom). [clausify(91)].
% 2.65/2.92 687 scratc1496180527_l_iff(A,B) | -pp(scratc602039077_d_and(aa_bool_bool(aa_boo1142376798l_bool(scratc2013187770nd_imp,A),B),aa_bool_bool(aa_boo1142376798l_bool(scratc2013187770nd_imp,B),A))) # label(fact_def__l__iff) # label(axiom). [clausify(123)].
% 2.65/2.92 688 -scratc1496180527_l_iff(A,B) | pp(scratc602039077_d_and(aa_bool_bool(aa_boo1142376798l_bool(scratc2013187770nd_imp,A),B),aa_bool_bool(aa_boo1142376798l_bool(scratc2013187770nd_imp,B),A))) # label(fact_def__l__iff) # label(axiom). [clausify(123)].
% 2.65/2.92 689 scratc1879248755d_orec(A,B) | -pp(scratc602039077_d_and(aa_bool_bool(scratc1568987261d_l_or(A),B),scratc1568331256d_l_ec(A,B))) # label(fact_def__orec) # label(axiom). [clausify(124)].
% 2.65/2.92 690 -scratc1879248755d_orec(A,B) | pp(scratc602039077_d_and(aa_bool_bool(scratc1568987261d_l_or(A),B),scratc1568331256d_l_ec(A,B))) # label(fact_def__orec) # label(axiom). [clausify(124)].
% 2.65/2.92 691 scratc2128324044nd_wel(A) | -pp(scratc709504257_d_not(scratc709504257_d_not(A))) # label(fact_def__wel) # label(axiom). [clausify(129)].
% 2.65/2.92 692 -scratc2128324044nd_wel(A) | pp(scratc709504257_d_not(scratc709504257_d_not(A))) # label(fact_def__wel) # label(axiom). [clausify(129)].
% 2.65/2.92 693 -scratc2128324044nd_wel(A) | pp(A) # label(fact_l__et) # label(axiom). [clausify(181)].
% 2.65/2.92 Derived: pp(A) | -pp(scratc709504257_d_not(scratc709504257_d_not(A))). [resolve(693,a,691,a)].
% 2.65/2.92
% 2.65/2.92 ============================== end predicate elimination =============
% 2.65/2.92
% 2.65/2.92 Auto_denials: (non-Horn, no changes).
% 2.65/2.92
% 2.65/2.92 Term ordering decisions:
% 2.65/2.92 Function symbol KB weights: aTP_Lamm_cn=1. scratc1700238598d_n_is=1. scratc2012925367nd_iii=1. scratc1716341305_29_ii=1. scratc1157037879bnd_in=1. scratc763941489rdsucc=1. scratc405801973lessis=1. scratc1156513089bnd_ap=1. scratc539785585moreis=1. scratc941299317nd_n_1=1. aTP_Lamm_as=1. aTP_Lamm_a=1. scratc1699976200d_n_eq=1. scratc2053708111nd_nat=1. scratc124855443_Sigma=1. scratc160717255ptyset=1. scratc1040373963d_d_Pi=1. scratc2054232902nd_nis=1. scratc1535801008n_some=1. fFalse=1. scratc1501227681_nat_p=1. scratc1634390547_power=1. scratc2013187770nd_imp=1. scratc1966848737d_repl=1. scratc1971355451nd_den=1. scratc2055020084nd_num=1. fTrue=1. scratc2123035643_lessf=1. scratc321873791_moref=1. scratc1700041800d_n_fr=1. scratc27012901_n_all=1. scratc372169132d_pair=1. aTP_Lamm_aj=1. scratc804022307d_Subq=1. scratc1678941005closed=1. scratc1762904385_proj0=1. scratc2141652413_union=1. scratc941299318nd_n_2=1. aTP_Lamm_ap=1. scratc1700238593d_n_in=1. scratc1762904386_proj1=1. aTP_Lamm_ao=1. aTP_Lamm_pt=1. scratc205880442_d_1to=1. scratc479516265closed=1. scratc644249279closed=1. aTP_Lamm_ai=1. aTP_Lamm_cd=1. aTP_Lamm_cf=1. aTP_Lamm_db=1. aTP_Lamm_hj=1. aTP_Lamm_hl=1. aTP_Lamm_hn=1. aTP_Lamm_hp=1. aTP_Lamm_hr=1. aTP_Lamm_ht=1. aTP_Lamm_hv=1. aTP_Lamm_hx=1. aTP_Lamm_ms=1. aTP_Lamm_mu=1. aTP_Lamm_mw=1. aTP_Lamm_my=1. aTP_Lamm_na=1. aTP_Lamm_nc=1. aTP_Lamm_ne=1. aTP_Lamm_ng=1. aTP_Lamm_ni=1. aTP_Lamm_nk=1. aTP_Lamm_nm=1. aTP_Lamm_no=1. aTP_Lamm_pk=1. aTP_Lamm_po=1. aTP_Lamm_pp=1. scratc1036188731_prop2=1. scratc108452266closed=1. scratc1530779102d_Inj1=1. scratc512247271_prop2=1. scratc932559599_omega=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_ch=1. aTP_Lamm_cj=1. aTP_Lamm_cl=1. aTP_Lamm_cp=1. aTP_Lamm_cs=1. aTP_Lamm_cu=1. aTP_Lamm_cw=1. aTP_Lamm_cz=1. aTP_Lamm_dg=1. aTP_Lamm_dk=1. aTP_Lamm_do=1. aTP_Lamm_ds=1. aTP_Lamm_dw=1. aTP_Lamm_ea=1. aTP_Lamm_ee=1. aTP_Lamm_ei=1. aTP_Lamm_el=1. aTP_Lamm_eo=1. aTP_Lamm_er=1. aTP_Lamm_eu=1. aTP_Lamm_ex=1. aTP_Lamm_fa=1. aTP_Lamm_fd=1. aTP_Lamm_fh=1. aTP_Lamm_fl=1. aTP_Lamm_fp=1. aTP_Lamm_ft=1. aTP_Lamm_fw=1. aTP_Lamm_fz=1. aTP_Lamm_gc=1. aTP_Lamm_gf=1. aTP_Lamm_gi=1. aTP_Lamm_gl=1. aTP_Lamm_go=1. aTP_Lamm_gr=1. aTP_Lamm_gt=1. aTP_Lamm_gv=1. aTP_Lamm_gy=1. aTP_Lamm_hb=1. aTP_Lamm_he=1. aTP_Lamm_hh=1. aTP_Lamm_ie=1. aTP_Lamm_ii=1. aTP_Lamm_im=1. aTP_Lamm_iq=1. aTP_Lamm_iu=1. aTP_Lamm_iy=1. aTP_Lamm_jc=1. aTP_Lamm_jg=1. aTP_Lamm_jj=1. aTP_Lamm_jm=1. aTP_Lamm_jp=1. aTP_Lamm_js=1. aTP_Lamm_jv=1. aTP_Lamm_jy=1. aTP_Lamm_kb=1. aTP_Lamm_ke=1. aTP_Lamm_kh=1. aTP_Lamm_kk=1. aTP_Lamm_ko=1. aTP_Lamm_ks=1. aTP_Lamm_kw=1. aTP_Lamm_la=1. aTP_Lamm_ld=1. aTP_Lamm_lg=1. aTP_Lamm_lj=1. aTP_Lamm_lm=1. aTP_Lamm_lp=1. aTP_Lamm_ls=1. aTP_Lamm_lw=1. aTP_Lamm_ly=1. aTP_Lamm_mb=1. aTP_Lamm_me=1. aTP_Lamm_mh=1. aTP_Lamm_mk=1. aTP_Lamm_mn=1. aTP_Lamm_mq=1. aTP_Lamm_nq=1. aTP_Lamm_ns=1. aTP_Lamm_nu=1. aTP_Lamm_nw=1. aTP_Lamm_ny=1. aTP_Lamm_oc=1. aTP_Lamm_oe=1. aTP_Lamm_oh=1. aTP_Lamm_ok=1. aTP_Lamm_om=1. aTP_Lamm_oo=1. aTP_Lamm_or=1. aTP_Lamm_ot=1. aTP_Lamm_ow=1. aTP_Lamm_oz=1. aTP_Lamm_pc=1. aTP_Lamm_pf=1. aTP_Lamm_ph=1. aTP_Lamm_pi=1. aTP_Lamm_pn=1. fconj=1. fimplies=1. scratc1036188730_prop1=1. scratc1296152512d_frac=1. scratc142805162_n_one=1. scratc1530779101d_Inj0=1. scratc1696565055d_n_1t=1. scratc1778021118_cond2=1. scratc512247270_prop1=1. scratc705671425d_Sing=1. aTP_Lamm_bv=1. aTP_Lamm_cc=1. aTP_Lamm_ce=1. aTP_Lamm_cg=1. aTP_Lamm_ci=1. aTP_Lamm_ck=1. aTP_Lamm_cm=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_dd=1. aTP_Lamm_dh=1. aTP_Lamm_dl=1. aTP_Lamm_dp=1. aTP_Lamm_dt=1. aTP_Lamm_dx=1. aTP_Lamm_eb=1. aTP_Lamm_ef=1. aTP_Lamm_ej=1. aTP_Lamm_em=1. aTP_Lamm_ep=1. aTP_Lamm_es=1. aTP_Lamm_ev=1. aTP_Lamm_ey=1. aTP_Lamm_fb=1. aTP_Lamm_fe=1. aTP_Lamm_fi=1. aTP_Lamm_fm=1. aTP_Lamm_fq=1. aTP_Lamm_fu=1. aTP_Lamm_fx=1. aTP_Lamm_ga=1. aTP_Lamm_gd=1. aTP_Lamm_gg=1. aTP_Lamm_gj=1. aTP_Lamm_gm=1. aTP_Lamm_gp=1. aTP_Lamm_gs=1. aTP_Lamm_gu=1. aTP_Lamm_gw=1. aTP_Lamm_gx=1. aTP_Lamm_gz=1. aTP_Lamm_ha=1. aTP_Lamm_hc=1. aTP_Lamm_hd=1. aTP_Lamm_hf=1. aTP_Lamm_hg=1. aTP_Lamm_hi=1. aTP_Lamm_hk=1. aTP_Lamm_hm=1. aTP_Lamm_ho=1. aTP_Lamm_hq=1. aTP_Lamm_hs=1. aTP_Lamm_hu=1. aTP_Lamm_hw=1. aTP_Lamm_hy=1. aTP_Lamm_hz=1. aTP_Lamm_ia=1. aTP_Lamm_ib=1. aTP_Lamm_if=1. aTP_Lamm_ij=1. aTP_Lamm_in=1. aTP_Lamm_ir=1. aTP_Lamm_iv=1. aTP_Lamm_iz=1. aTP_Lamm_jd=1. aTP_Lamm_jh=1. aTP_Lamm_jk=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_kp=1. aTP_Lamm_kt=1. aTP_Lamm_kx=1. aTP_Lamm_lb=1. aTP_Lamm_le=1. aTP_Lamm_lh=1. aTP_Lamm_lk=1. aTP_Lamm_ln=1. aTP_Lamm_lq=1. aTP_Lamm_lt=1. aTP_Lamm_lu=1. aTP_Lamm_lv=1. aTP_Lamm_lx=1. aTP_Lamm_lz=1. aTP_Lamm_mc=1. aTP_Lamm_mf=1. aTP_Lamm_mi=1. aTP_Lamm_ml=1. aTP_Lamm_mo=1. aTP_Lamm_mr=1. aTP_Lamm_mt=1. aTP_Lamm_mv=1. aTP_Lamm_mx=1. aTP_Lamm_mz=1. aTP_Lamm_nb=1. aTP_Lamm_nd=1. aTP_Lamm_nf=1. aTP_Lamm_nh=1. aTP_Lamm_nj=1. aTP_Lamm_nl=1. aTP_Lamm_nn=1. aTP_Lamm_np=1. aTP_Lamm_nr=1. aTP_Lamm_nt=1. aTP_Lamm_nv=1. aTP_Lamm_nx=1. aTP_Lamm_nz=1. aTP_Lamm_od=1. aTP_Lamm_of=1. aTP_Lamm_oi=1. aTP_Lamm_ol=1. aTP_Lamm_on=1. aTP_Lamm_op=1. aTP_Lamm_os=1. aTP_Lamm_ou=1. aTP_Lamm_ov=1. aTP_Lamm_ox=1. aTP_Lamm_oy=1. aTP_Lamm_pa=1. aTP_Lamm_pb=1. aTP_Lamm_pd=1. aTP_Lamm_pe=1. aTP_Lamm_pg=1. aTP_Lamm_pj=1. aTP_Lamm_pl=1. aTP_Lamm_pm=1. aTP_Lamm_pq=1. aTP_Lamm_pr=1. aTP_Lamm_ps=1. aTP_Lamm_pv=1. aTP_Lamm_qs=1. fequal_TPTP_ind=1. scratc1696630654d_n_2t=1. scratc1778021117_cond1=1. scratc1934284463univof=1. scratc2052133729nd_nIn=1. scratc502901023_d_Unj=1. aTP_Lamm_ad=1. aTP_Lamm_al=1. aTP_Lamm_ar=1. aTP_Lamm_bt=1. aTP_Lamm_bu=1. bool=1. scratc1100609445_prop1=1. scratc1426509460_times=1. scratc1696565050d_n_1o=1. scratc1763297983_prop4=1. scratc1830515957_prop1=1. scratc2006948028_prop1=1. scratc366064315_empty=1. scratc446312242nempty=1. scratc447826555_prop1=1. scratc463832876d_plus=1. scratc512247273_prop4=1. scratc526157807munion=1. scratc620691460pair_p=1. scratc653791607_prop1=1. scratc65429432_prop1=1. scratc711877763428_id=1. scratc954987263r1type=1. scratc2133022319d_1out=1. scratc290864040d_xout=1. scratc438124053let_u0=1. scratc449446503air_u0=1. scratc537996915d_24_g=1. scratc547071007_428_g=1. scratc896939321d_i1_s=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. scratc602039077_d_and=1. aa_fun1431113780TP_ind=1. aa_boo1142376798l_bool=1. aa_TPT1123896796d_bool=1. scratc1157037871bnd_if=1. scratc1568331256d_l_ec=1. aa_fun1212484691d_bool=1. scratc34094584d_e_in=1. aa_TPT1791839040TP_ind=1. aa_TPT985247859d_bool=1. scratc2013253357nd_ind=1. scratc1801443692d_pair=1. aa_fun987228051d_bool=1. scratc94119336_amone=1. scratc1225157606second=1. scratc504578793_image=1. scratc547220862_first=1. aa_TPT125613450d_bool=1. scratc2054626491nd_non=1. aa_fun1913827119d_bool=1. scratc1655400189d_anec=1. aa_fun1107270209d_bool=1. aa_fun845057962d_bool=1. scratc1058725565_ecelt=1. scratc1626234397eplSep=1. scratc1979485760nd_ecp=1. scratc1058135174_ecect=1. scratc2063281596nd_out=1. aa_TPT1781712639TP_ind=1. aa_TPT2142672771l_bool=1. aa_fun1235454963TP_ind=1. cOMBB_658106424TP_ind=1. cOMBS_2003118649l_bool=1. scratc1062773823etprop=1. scratc1979485764nd_ect=1. scratc2031597538ght1to=1. scratc465941675wissel=1. scratc532384627eft1to=1. scratc595937106_fixfu=1. scratc597914878ectset=1. scratc85888352fixfu2=1. scratc1458762023d_invf=1. scratc1462498554d_tofs=1. scratc162189182nverse=1. scratc482713001ectelt=1. scratc704032224unmore=1. f1=1. f12=1. f13=1. f20=1. f24=1. scratc1681315558all_of=1. scratc1700697784d_n_pl=1. scratc1700960187d_n_ts=1. scratc34094589d_e_is=1. scratc709504257_d_not=1. scratc485787628_d_Sep=1. scratc525073205d_esti=1. scratc791976366l_some=1. scratc1442614202ffprop=1. scratc1947030127nd_all=1. scratc1568987261d_l_or=1. scratc2062822388nd_one=1. aTP_Lamm_ah=1. scratc1905017266d_outn=1. scratc1957412014_rec_G=1. aTP_Lamm_aa=1. aTP_Lamm_bz=1. aTP_Lamm_qc=1. aTP_Lamm_am=1. aTP_Lamm_at=1. aTP_Lamm_bd=1. aTP_Lamm_bl=1. aTP_Lamm_by=1. aTP_Lamm_cy=1. aTP_Lamm_de=1. aTP_Lamm_di=1. aTP_Lamm_dm=1. aTP_Lamm_dq=1. aTP_Lamm_du=1. aTP_Lamm_dy=1. aTP_Lamm_ec=1. aTP_Lamm_eg=1. aTP_Lamm_ff=1. aTP_Lamm_fj=1. aTP_Lamm_fn=1. aTP_Lamm_fr=1. aTP_Lamm_ic=1. aTP_Lamm_ig=1. aTP_Lamm_ik=1. aTP_Lamm_io=1. aTP_Lamm_is=1. aTP_Lamm_iw=1. aTP_Lamm_ja=1. aTP_Lamm_je=1. aTP_Lamm_km=1. aTP_Lamm_kq=1. aTP_Lamm_ku=1. aTP_Lamm_ky=1. aTP_Lamm_ma=1. aTP_Lamm_md=1. aTP_Lamm_mg=1. aTP_Lamm_mj=1. aTP_Lamm_mm=1. aTP_Lamm_mp=1. aTP_Lamm_oa=1. aTP_Lamm_pu=1. aTP_Lamm_qq=1. scratc1457515648d_incl=1. aTP_Lamm_ax=1. aTP_Lamm_bh=1. aTP_Lamm_bk=1. aTP_Lamm_bo=1. aTP_Lamm_ek=1. aTP_Lamm_en=1. aTP_Lamm_eq=1. aTP_Lamm_et=1. aTP_Lamm_ew=1. aTP_Lamm_ez=1. aTP_Lamm_fc=1. aTP_Lamm_fv=1. aTP_Lamm_fy=1. aTP_Lamm_gb=1. aTP_Lamm_ge=1. aTP_Lamm_gh=1. aTP_Lamm_gk=1. aTP_Lamm_ji=1. aTP_Lamm_jl=1. aTP_Lamm_jo=1. aTP_Lamm_jr=1. aTP_Lamm_ju=1. aTP_Lamm_jx=1. aTP_Lamm_ka=1. aTP_Lamm_kd=1. aTP_Lamm_kg=1. aTP_Lamm_kj=1. aTP_Lamm_lc=1. aTP_Lamm_lf=1. aTP_Lamm_li=1. aTP_Lamm_ll=1. aTP_Lamm_lo=1. aTP_Lamm_lr=1. aTP_Lamm_og=1. aTP_Lamm_oj=1. aTP_Lamm_qm=1. aTP_Lamm_qo=1. scratc1980338550nd_eps=1. scratc2013253367nd_inn=1. scratc397864583etprod=1. scratc760700309ective=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_co=1. aTP_Lamm_cr=1. aTP_Lamm_df=1. aTP_Lamm_dj=1. aTP_Lamm_dn=1. aTP_Lamm_dr=1. aTP_Lamm_dv=1. aTP_Lamm_dz=1. aTP_Lamm_ed=1. aTP_Lamm_eh=1. aTP_Lamm_fg=1. aTP_Lamm_fk=1. aTP_Lamm_fo=1. aTP_Lamm_fs=1. aTP_Lamm_gn=1. aTP_Lamm_gq=1. aTP_Lamm_id=1. aTP_Lamm_ih=1. aTP_Lamm_il=1. aTP_Lamm_ip=1. aTP_Lamm_it=1. aTP_Lamm_ix=1. aTP_Lamm_jb=1. aTP_Lamm_jf=1. aTP_Lamm_kn=1. aTP_Lamm_kr=1. aTP_Lamm_kv=1. aTP_Lamm_kz=1. aTP_Lamm_ob=1. aTP_Lamm_oq=1. aTP_Lamm_pw=1. aTP_Lamm_px=1. aTP_Lamm_py=1. aTP_Lamm_qa=1. aTP_Lamm_qg=1. aTP_Lamm_qi=1. aTP_Lamm_qj=1. aTP_Lamm_qn=1. fEx_TPTP_ind=1. scratc1079930539lbprop=1. scratc1520014906nunion=1. scratc1700435378d_n_lb=1. scratc2045971392nd_min=1. scratc598519118ective=1. aTP_Lamm_ba=1. aTP_Lamm_pz=1. aTP_Lamm_qb=1. aTP_Lamm_qd=1. aTP_Lamm_qe=1. aTP_Lamm_qf=1. aTP_Lamm_qh=1. aTP_Lamm_qk=1. aTP_Lamm_ql=1. aTP_Lamm_qp=1. aTP_Lamm_qr=1. scratc1328779653_pair1=1. scratc1353997977In_rec=1. scratc1685753291econd1=1. scratc19341821_UPair=1. scratc1952150067first1=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. scratc1242153782_prop1=1. scratc1436300448tminus=1. scratc1494513135_prop1=1. scratc1624550905_prop1=1. scratc1763297982_prop3=1. scratc1853136943t_disj=1. scratc2082875310_prop1=1. scratc944419539ective=1. undefined_bool=1. scratc1700500989d_n_mn=1. scratc449184107air_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. scratc2063084734nd_or3=1. scratc1979485699nd_ec3=1. scratc2013646952nd_ite=1. scratc681911356d_soft=1. scratc1309819321_indeq=1. scratc1577636857d_left=1. scratc1763297980_prop1=1. scratc1002143509sel_wa=1. scratc1002143510sel_wb=1. scratc1351638327d_11_i=1. scratc745769988eft_f1=1. scratc1245492298_right=1. scratc745769989eft_f2=1. f5=1. f7=1. f14=1. f16=1. f19=1. f25=1. scratc1763297981_prop2=1. scratc176148132hangef=1. scratc207204341_inj_h=1. f3=1. f4=1. f15=1. scratc1583511357_prop1=1. scratc2016881849indeq2=1. f6=1.
% 6.95/7.21
% 6.95/7.21 ============================== end of process initial clauses ========
% 6.95/7.21
% 6.95/7.21 ============================== CLAUSES FOR SEARCH ====================
% 6.95/7.21
% 6.95/7.21 ============================== end of clauses for search =============
% 6.95/7.21
% 6.95/7.21 ============================== SEARCH ================================
% 6.95/7.21
% 6.95/7.21 % Starting search at 1.53 seconds.
% 6.95/7.21
% 6.95/7.21 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 87 (0.00 of 2.21 sec).
% 6.95/7.21
% 6.95/7.21 Low Water (keep): wt=56.000, iters=3771
% 6.95/7.21
% 6.95/7.21 Low Water (keep): wt=36.000, iters=3408
% 6.95/7.21
% 6.95/7.21 Low Water (keep): wt=35.000, iters=3399
% 6.95/7.21
% 6.95/7.21 Low Water (keep): wt=32.000, iters=3347
% 6.95/7.21
% 6.95/7.21 Low Water (keep): wt=31.000, iters=3387
% 6.95/7.21
% 6.95/7.21 Low Water (keep): wt=28.000, iters=3346
% 6.95/7.21
% 6.95/7.21 Low Water (keep): wt=26.000, iters=3336
% 6.95/7.21
% 6.95/7.21 Low Water (keep): wt=25.000, iters=3336
% 6.95/7.21
% 6.95/7.21 Low Water (keep): wt=24.000, iters=3335
% 6.95/7.21
% 6.95/7.21 Low Water (keep): wt=23.000, iters=3367
% 6.95/7.21
% 6.95/7.21 Low Water (keep): wt=21.000, iters=3500
% 6.95/7.21
% 6.95/7.21 Low Water (keep): wt=20.000, iters=3491
% 6.95/7.21
% 6.95/7.21 Low Water (keep): wt=19.000, iters=3375
% 6.95/7.21
% 6.95/7.21 Low Water (keep): wt=18.000, iters=3495
% 6.95/7.21
% 6.95/7.21 Low Water (keep): wt=17.000, iters=3343
% 6.95/7.21
% 6.95/7.21 Low Water (keep): wt=16.000, iters=3354
% 6.95/7.21
% 6.95/7.21 Low Water (keep): wt=13.000, iters=3737
% 6.95/7.21
% 6.95/7.21 Low Water (keep): wt=12.000, iters=3353
% 6.95/7.21
% 6.95/7.21 Low Water (displace): id=13651, wt=13.000
% 6.95/7.21
% 6.95/7.21 Low Water (displace): id=13652, wt=12.000
% 6.95/7.21
% 6.95/7.21 Low Water (displace): id=13658, wt=10.000
% 6.95/7.21
% 6.95/7.21 Low Water (displace): id=15080, wt=9.000
% 6.95/7.21
% 6.95/7.21 Low Water (displace): id=154Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------