TSTP Solution File: NUM766+4 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : NUM766+4 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n025.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 13:31:53 EDT 2022
% Result : Timeout 300.03s 300.38s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM766+4 : TPTP v8.1.0. Released v7.3.0.
% 0.03/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n025.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 06:24:13 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.22/1.62 ============================== Prover9 ===============================
% 1.22/1.62 Prover9 (32) version 2009-11A, November 2009.
% 1.22/1.62 Process 31210 was started by sandbox on n025.cluster.edu,
% 1.22/1.62 Thu Jul 7 06:24:15 2022
% 1.22/1.62 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_31057_n025.cluster.edu".
% 1.22/1.62 ============================== end of head ===========================
% 1.22/1.62
% 1.22/1.62 ============================== INPUT =================================
% 1.22/1.62
% 1.22/1.62 % Reading from file /tmp/Prover9_31057_n025.cluster.edu
% 1.22/1.62
% 1.22/1.62 set(prolog_style_variables).
% 1.22/1.62 set(auto2).
% 1.22/1.62 % set(auto2) -> set(auto).
% 1.22/1.62 % set(auto) -> set(auto_inference).
% 1.22/1.62 % set(auto) -> set(auto_setup).
% 1.22/1.62 % set(auto_setup) -> set(predicate_elim).
% 1.22/1.62 % set(auto_setup) -> assign(eq_defs, unfold).
% 1.22/1.62 % set(auto) -> set(auto_limits).
% 1.22/1.62 % set(auto_limits) -> assign(max_weight, "100.000").
% 1.22/1.62 % set(auto_limits) -> assign(sos_limit, 20000).
% 1.22/1.62 % set(auto) -> set(auto_denials).
% 1.22/1.62 % set(auto) -> set(auto_process).
% 1.22/1.62 % set(auto2) -> assign(new_constants, 1).
% 1.22/1.62 % set(auto2) -> assign(fold_denial_max, 3).
% 1.22/1.62 % set(auto2) -> assign(max_weight, "200.000").
% 1.22/1.62 % set(auto2) -> assign(max_hours, 1).
% 1.22/1.62 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.22/1.62 % set(auto2) -> assign(max_seconds, 0).
% 1.22/1.62 % set(auto2) -> assign(max_minutes, 5).
% 1.22/1.62 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.22/1.62 % set(auto2) -> set(sort_initial_sos).
% 1.22/1.62 % set(auto2) -> assign(sos_limit, -1).
% 1.22/1.62 % set(auto2) -> assign(lrs_ticks, 3000).
% 1.22/1.62 % set(auto2) -> assign(max_megs, 400).
% 1.22/1.62 % set(auto2) -> assign(stats, some).
% 1.22/1.62 % set(auto2) -> clear(echo_input).
% 1.22/1.62 % set(auto2) -> set(quiet).
% 1.22/1.62 % set(auto2) -> clear(print_initial_clauses).
% 1.22/1.62 % set(auto2) -> clear(print_given).
% 1.22/1.62 assign(lrs_ticks,-1).
% 1.22/1.62 assign(sos_limit,10000).
% 1.22/1.62 assign(order,kbo).
% 1.22/1.62 set(lex_order_vars).
% 1.22/1.62 clear(print_given).
% 1.22/1.62
% 1.22/1.62 % formulas(sos). % not echoed (1076 formulas)
% 1.22/1.62
% 1.22/1.62 ============================== end of input ==========================
% 1.22/1.62
% 1.22/1.62 % From the command line: assign(max_seconds, 300).
% 1.22/1.62
% 1.22/1.62 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.22/1.62
% 1.22/1.62 % Formulas that are not ordinary clauses:
% 1.22/1.62 1 (all B_1 all B_2 gg_bool(scratc391308847_amone(B_1,B_2))) # label(gsy_c_Scratch__tptp__translate__60780__23581_ONUM766__thf__4__p_Obnd__amone) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.62 2 (all B_1 all B_2 gg_bool(scratc1080214622_d_and(B_1,B_2))) # label(gsy_c_Scratch__tptp__translate__60780__23581_ONUM766__thf__4__p_Obnd__d__and) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.62 3 (all B_1 gg_bool(scratc1187679802_d_not(B_1))) # label(gsy_c_Scratch__tptp__translate__60780__23581_ONUM766__thf__4__p_Obnd__d__not) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.62 4 (all B_1 all B_2 all B_3 gg_bool(scratc1579868682nd_ec3(B_1,B_2,B_3))) # label(gsy_c_Scratch__tptp__translate__60780__23581_ONUM766__thf__4__p_Obnd__ec3) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.62 5 (all B_1 all B_2 gg_TPTP_ind(scratc1579868747nd_ect(B_1,B_2))) # label(gsy_c_Scratch__tptp__translate__60780__23581_ONUM766__thf__4__p_Obnd__ect) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.62 6 (all B_1 gg_TPTP_ind(scratc1580721533nd_eps(B_1))) # label(gsy_c_Scratch__tptp__translate__60780__23581_ONUM766__thf__4__p_Obnd__eps) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.62 7 (all B_1 all B_2 gg_TPTP_ind(scratc1613636340nd_ind(B_1,B_2))) # label(gsy_c_Scratch__tptp__translate__60780__23581_ONUM766__thf__4__p_Obnd__ind) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.62 8 (all B_1 all B_2 gg_bool(scratc1865520767d_l_ec(B_1,B_2))) # label(gsy_c_Scratch__tptp__translate__60780__23581_ONUM766__thf__4__p_Obnd__l__ec) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.62 9 (all B_1 all B_2 all B_3 gg_bool(scratc1663467717nd_or3(B_1,B_2,B_3))) # label(gsy_c_Scratch__tptp__translate__60780__23581_ONUM766__thf__4__p_Obnd__or3) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.62 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].
% 1.22/1.62 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].
% 1.22/1.62 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].
% 1.22/1.62 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].
% 1.22/1.62 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].
% 1.22/1.62 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].
% 1.22/1.62 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].
% 1.22/1.62 17 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc540460988_367_w(X),Xa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1997231311d_n_fr,aa_TPTP_ind_TPTP_ind(scratc892741492367_vo(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1571738434nd_den,X)),aa_TPTP_ind_TPTP_ind(scratc1571738434nd_den,Xa)))) # label(fact_def__d__367__w) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.62 18 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc892741492367_vo(X),Xa) = scratc1613636340nd_ind(scratc1654091094nd_nat,aa_TPT43085870d_bool(scratc309190771ffprop(aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1655403067nd_num,X)),aa_TPTP_ind_TPTP_ind(scratc1571738434nd_den,Xa))),aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1655403067nd_num,Xa)),aa_TPTP_ind_TPTP_ind(scratc1571738434nd_den,X))))) # label(fact_def__d__367__vo) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.62 19 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc1997887289d_n_pf(X),Xa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1997231311d_n_fr,aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1655403067nd_num,X)),aa_TPTP_ind_TPTP_ind(scratc1571738434nd_den,Xa))),aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1655403067nd_num,Xa)),aa_TPTP_ind_TPTP_ind(scratc1571738434nd_den,X)))),aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1571738434nd_den,X)),aa_TPTP_ind_TPTP_ind(scratc1571738434nd_den,Xa)))) # label(fact_def__n__pf) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.62 20 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc883715120lesseq,X),Xa)) <-> pp(aa_bool_bool(scratc1866176772d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc272741506_lessf,X),Xa)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997165711d_n_eq,X),Xa))))) # label(fact_def__lesseq) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.62 21 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc619063313_moreq,X),Xa)) <-> pp(aa_bool_bool(scratc1866176772d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc619063302_moref,X),Xa)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997165711d_n_eq,X),Xa))))) # label(fact_def__moreq) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.62 22 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc272741506_lessf,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1613308350nd_iii,aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1655403067nd_num,X)),aa_TPTP_ind_TPTP_ind(scratc1571738434nd_den,Xa))),aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1655403067nd_num,Xa)),aa_TPTP_ind_TPTP_ind(scratc1571738434nd_den,X)))))) # label(fact_def__lessf) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.62 23 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc619063302_moref,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc451552192_29_ii,aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1655403067nd_num,X)),aa_TPTP_ind_TPTP_ind(scratc1571738434nd_den,Xa))),aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1655403067nd_num,Xa)),aa_TPTP_ind_TPTP_ind(scratc1571738434nd_den,X)))))) # label(fact_def__moref) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.62 24 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997165711d_n_eq,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1655403067nd_num,X)),aa_TPTP_ind_TPTP_ind(scratc1571738434nd_den,Xa))),aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1655403067nd_num,Xa)),aa_TPTP_ind_TPTP_ind(scratc1571738434nd_den,X)))))) # label(fact_def__n__eq) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.62 25 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc1759830206eft_f2(X,Xa,Xb),Xc) = aa_TPTP_ind_TPTP_ind(scratc1433829810d_left(X,Xa,Xb),aa_TPTP_ind_TPTP_ind(scratc1759830205eft_f1(X,Xa,Xb),Xc))) # label(fact_def__left__f2) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.62 26 (all X all Xa all Xb scratc1759830205eft_f1(X,Xa,Xb) = scratc1433829810d_left(X,Xb,Xa)) # label(fact_def__left__f1) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.62 27 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc1542681809_right(X,Xa,Xb),Xc) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1138915660_Sigma,aa_TPTP_ind_TPTP_ind(scratc684055987_d_1to,Xb)),aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aTP_Lamm_ad(Xa),Xb),Xc))) # label(fact_def__right) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.62 28 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc1433829810d_left(X,Xa,Xb),Xc) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1138915660_Sigma,aa_TPTP_ind_TPTP_ind(scratc684055987_d_1to,Xb)),aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aTP_Lamm_ae(Xa),Xb),Xc))) # label(fact_def__left) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.62 29 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc898174107ght1to(X,Xa),Xb) = aa_TPTP_ind_TPTP_ind(scratc1761210219d_outn(aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(X),aa_TPTP_ind_TPTP_ind(scratc1613636350nd_inn(Xa),Xb)))) # label(fact_def__right1to) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.62 30 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc76314746eft1to(X,Xa),Xb) = aa_TPTP_ind_TPTP_ind(scratc1761210219d_outn(X),aa_TPTP_ind_TPTP_ind(scratc1613636350nd_inn(Xa),Xb))) # label(fact_def__left1to) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.62 31 (all X aa_TPTP_ind_TPTP_ind(scratc147056993d_xout,X) = aa_TPTP_ind_TPTP_ind(scratc1761210219d_outn(X),X)) # label(fact_def__xout) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.62 32 (all X aa_TPTP_ind_TPTP_ind(scratc1676952438d_1out,X) = aa_TPTP_ind_TPTP_ind(scratc1761210219d_outn(X),scratc797492270nd_n_1)) # label(fact_def__d__1out) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.62 33 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc1463244324air_q0(X),Xa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1625969164_pair1(X),aa_TPTP_ind_TPTP_ind(scratc282841964first1(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc1229683410econd1(X),Xa))) # label(fact_def__pair__q0) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.62 34 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc1229683410econd1(X),Xa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc759707514bnd_ap,Xa),scratc1993820165d_n_2t)) # label(fact_def__second1) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.62 35 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc282841964first1(X),Xa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc759707514bnd_ap,Xa),scratc1993754566d_n_1t)) # label(fact_def__first1) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.62 36 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1625969164_pair1(X),Xa),Xb) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1138915660_Sigma,aa_TPTP_ind_TPTP_ind(scratc684055987_d_1to,scratc797492271nd_n_2)),aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aTP_Lamm_af(X),Xa),Xb))) # label(fact_def__pair1) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.62 37 (all X aa_TPTP_ind_TPTP_ind(scratc1837681798r1type,X) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1337563474d_d_Pi,aa_TPTP_ind_TPTP_ind(scratc684055987_d_1to,scratc797492271nd_n_2)),aTP_Lamm_ag(X))) # label(fact_def__pair1type) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.62 38 (all X scratc1613636350nd_inn(X) = scratc331284095d_e_in(scratc1654091094nd_nat,aa_TPT43085870d_bool(aTP_Lamm_ah,X))) # label(fact_def__inn) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.62 39 (all X scratc1761210219d_outn(X) = scratc1663664579nd_out(scratc1654091094nd_nat,aa_TPT43085870d_bool(aTP_Lamm_ah,X))) # label(fact_def__outn) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.62 40 (all X aa_TPTP_ind_TPTP_ind(scratc684055987_d_1to,X) = aa_fun1431113780TP_ind(scratc963963173_d_Sep(scratc1654091094nd_nat),aa_TPT43085870d_bool(aTP_Lamm_ah,X))) # label(fact_def__d__1to) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.62 41 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc1997690500d_n_mn(X),Xa) = scratc1613636340nd_ind(scratc1654091094nd_nat,aa_TPT43085870d_bool(scratc309190771ffprop(X),Xa))) # label(fact_def__n__mn) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.62 42 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1123031605_prop1(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(X),Xa)),Xb)),aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(X),aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Xa),Xb)))))) # label(fact_def__d__431__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.62 43 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc534669430_prop1(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(X),aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Xa),Xb))),aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(X),Xb)))))) # label(fact_def__d__430__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.62 44 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc140765740_prop1,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Xa),X))))) # label(fact_def__d__429__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.62 45 (all X scratc1998149698d_n_ts(X) = aa_TPT1424761345TP_ind(scratc759707514bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1723698971_times,X))) # label(fact_def__n__ts) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.62 46 (all X aa_TPTP_ind_TPTP_ind(scratc1723698971_times,X) = scratc1613636340nd_ind(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1337563474d_d_Pi,scratc1654091094nd_nat),aTP_Lamm_ai),aa_TPT43085870d_bool(scratc1699887214_prop2,X))) # label(fact_def__times) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.62 47 (all X aa_TPTP_ind_TPTP_ind(scratc1429765542_428_g,X) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1138915660_Sigma,scratc1654091094nd_nat),aTP_Lamm_aj(X))) # label(fact_def__d__428__g) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.62 48 (all X (pp(aa_TPTP_ind_bool(scratc1699887216_prop4,X)) <-> pp(aa_fun171081125l_bool(scratc335906485l_some(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1337563474d_d_Pi,scratc1654091094nd_nat),aTP_Lamm_ai)),aa_TPT43085870d_bool(scratc1699887214_prop2,X))))) # label(fact_def__d__428__prop4) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.62 49 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699887214_prop2,X),Xa)) <-> pp(scratc1080214622_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc759707514bnd_ap,Xa),scratc797492270nd_n_1)),X),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699887213_prop1,X),Xa))))) # label(fact_def__d__428__prop2) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.62 50 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699887213_prop1,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc505188446_n_all,aa_TPT43085870d_bool(aTP_Lamm_al(X),Xa))))) # label(fact_def__d__428__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.62 51 (all X all Xa (pp(aa_TPTP_ind_bool(scratc1646354375nd_min(X),Xa)) <-> pp(scratc1080214622_d_and(aa_TPTP_ind_bool(scratc1997624889d_n_lb(X),Xa),aa_TPTP_ind_bool(X,Xa))))) # label(fact_def__min) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.62 52 (all X all Xa (pp(aa_TPTP_ind_bool(scratc1997624889d_n_lb(X),Xa)) <-> pp(aa_fun171081125l_bool(scratc505188446_n_all,aa_TPT43085870d_bool(scratc1558106084lbprop(X),Xa))))) # label(fact_def__n__lb) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.62 53 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1558106084lbprop(X),Xa),Xb)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1613570753nd_imp,aa_TPTP_ind_bool(X,Xb)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc883977518lessis,Xa),Xb))))) # label(fact_def__lbprop) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.62 54 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc883977518lessis,X),Xa)) <-> pp(aa_bool_bool(scratc1866176772d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1613308350nd_iii,X),Xa)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,X),Xa))))) # label(fact_def__lessis) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.62 55 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1017961130moreis,X),Xa)) <-> pp(aa_bool_bool(scratc1866176772d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc451552192_29_ii,X),Xa)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,X),Xa))))) # label(fact_def__moreis) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.62 56 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1032417454_prop1,X),Xa)) <-> pp(scratc1663467717nd_or3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,X),Xa),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc451552192_29_ii,X),Xa),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1613308350nd_iii,X),Xa))))) # label(fact_def__d__29__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.62 57 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1613308350nd_iii,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc1079731127n_some,aa_TPT43085870d_bool(scratc309190771ffprop(Xa),X))))) # label(fact_def__iii) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.62 58 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc451552192_29_ii,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc1079731127n_some,aa_TPT43085870d_bool(scratc309190771ffprop(X),Xa))))) # label(fact_def__d__29__ii) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.62 59 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc309190771ffprop(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,X),aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Xa),Xb))))) # label(fact_def__diffprop) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.62 60 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc444055279_prop1(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1654615885nd_nis,aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(X),Xb))))) # label(fact_def__d__28__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.62 61 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2003176752_prop1,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1654615885nd_nis,Xa),aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(X),Xa))))) # label(fact_def__d__27__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.62 62 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1414814577_prop1,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Xa),X))))) # label(fact_def__d__26__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 63 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc826452402_prop1(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(X),Xa)),Xb)),aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(X),aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Xa),Xb)))))) # label(fact_def__d__25__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 64 (all X scratc1997887295d_n_pl(X) = aa_TPT1424761345TP_ind(scratc759707514bnd_ap,aa_TPTP_ind_TPTP_ind(scratc320025829d_plus,X))) # label(fact_def__n__pl) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 65 (all X aa_TPTP_ind_TPTP_ind(scratc320025829d_plus,X) = scratc1613636340nd_ind(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1337563474d_d_Pi,scratc1654091094nd_nat),aTP_Lamm_ai),aa_TPT43085870d_bool(scratc238090228_prop2,X))) # label(fact_def__plus) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 66 (all X aa_TPTP_ind_TPTP_ind(scratc1552057132d_24_g,X) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1138915660_Sigma,scratc1654091094nd_nat),aTP_Lamm_am(X))) # label(fact_def__d__24__g) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 67 (all X (pp(aa_TPTP_ind_bool(scratc2060487494_prop4,X)) <-> pp(aa_fun171081125l_bool(scratc335906485l_some(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1337563474d_d_Pi,scratc1654091094nd_nat),aTP_Lamm_ai)),aa_TPT43085870d_bool(scratc238090228_prop2,X))))) # label(fact_def__prop4) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 68 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2060487493_prop3(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc759707514bnd_ap,X),Xb)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc759707514bnd_ap,Xa),Xb))))) # label(fact_def__prop3) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 69 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc238090228_prop2,X),Xa)) <-> pp(scratc1080214622_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc759707514bnd_ap,Xa),scratc797492270nd_n_1)),aa_TPTP_ind_TPTP_ind(scratc307871608rdsucc,X)),aa_TPTP_ind_bool(scratc238090227_prop1,Xa))))) # label(fact_def__d__24__prop2) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 70 (all X (pp(aa_TPTP_ind_bool(scratc238090227_prop1,X)) <-> pp(aa_fun171081125l_bool(scratc505188446_n_all,aa_TPT43085870d_bool(aTP_Lamm_an,X))))) # label(fact_def__d__24__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 71 (all X (pp(aa_TPTP_ind_bool(scratc1797211700_prop1,X)) <-> pp(aa_bool_bool(scratc1866176772d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,X),scratc797492270nd_n_1)),aa_fun171081125l_bool(scratc1079731127n_some,aa_TPT43085870d_bool(aTP_Lamm_ao,X)))))) # label(fact_def__d__23__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 72 (all X (pp(aa_TPTP_ind_bool(scratc1208849525_prop1,X)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1654615885nd_nis,aa_TPTP_ind_TPTP_ind(scratc307871608rdsucc,X)),X)))) # label(fact_def__d__22__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 73 (all X (pp(aa_TPTP_ind_bool(scratc2075210629_cond2,X)) <-> pp(aa_fun171081125l_bool(scratc505188446_n_all,aa_TPT43085870d_bool(aTP_Lamm_ap,X))))) # label(fact_def__cond2) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 74 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1654615885nd_nis,X),Xa)) <-> pp(scratc1187679802_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,X),Xa))))) # label(fact_def__nis) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 75 (all X all Xa all Xb all Xc all Xd scratc347573746indeq2(X,Xa,Xb,Xc,Xd) = aa_TPT1424761345TP_ind(scratc1607008832_indeq(X,Xa,Xb),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc218214896d_11_i(X,Xa,Xb),Xc),Xd))) # label(fact_def__indeq2) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 76 (all X all Xa all Xb scratc218214896d_11_i(X,Xa,Xb) = scratc1607008832_indeq(X,Xa,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1337563474d_d_Pi,X),aTP_Lamm_ag(Xb)))) # label(fact_def__d__11__i) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 77 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc564063897fixfu2(X,Xa),Xb),Xc)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aa_TPT43085870d_bool(aTP_Lamm_ar,X)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_fun987228051d_bool(aTP_Lamm_av(X),Xa),Xb),Xc))))) # label(fact_def__fixfu2) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 78 (all X all Xa all Xb all Xc all Xd aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1607008832_indeq(X,Xa,Xb),Xc),Xd) = scratc1613636340nd_ind(Xb,aa_TPT43085870d_bool(scratc2060487492_prop2(X,Xa,Xb,Xc),Xd))) # label(fact_def__indeq) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 79 (all X all Xa all Xb all Xc all Xd all Xe (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2060487492_prop2(X,Xa,Xb,Xc),Xd),Xe)) <-> pp(aa_fun171081125l_bool(scratc335906485l_some(X),aa_TPT43085870d_bool(scratc785412854_prop1(X,Xa,Xb,Xc,Xd),Xe))))) # label(fact_def__prop2) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 80 (all X all Xa all Xb all Xc all Xd all Xe all Xf (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc785412854_prop1(X,Xa,Xb,Xc,Xd),Xe),Xf)) <-> pp(scratc1080214622_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc381266158d_esti(X),Xf),aa_TPTP_ind_TPTP_ind(scratc1355324685_ecect(X,Xa),Xd)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc331284100d_e_is(Xb),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc759707514bnd_ap,Xc),Xf)),Xe))))) # label(fact_def__d__10__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 81 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc893126617_fixfu(X,Xa),Xb),Xc)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aa_TPT43085870d_bool(aTP_Lamm_ar,X)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_fun987228051d_bool(aTP_Lamm_ax(X),Xa),Xb),Xc))))) # label(fact_def__fixfu) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 82 (all X all Xa scratc1355324685_ecect(X,Xa) = scratc331284095d_e_in(aa_TPTP_ind_TPTP_ind(scratc1931580058_power,X),scratc1511593142d_anec(X,Xa))) # label(fact_def__ecect) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 83 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc960888546ectelt(X,Xa),Xb) = aa_TPTP_ind_TPTP_ind(scratc1076090423ectset(X,Xa),aa_TPTP_ind_TPTP_ind(scratc1355915076_ecelt(X,Xa),Xb))) # label(fact_def__ectelt) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 84 (all X all Xa scratc1076090423ectset(X,Xa) = scratc1663664579nd_out(aa_TPTP_ind_TPTP_ind(scratc1931580058_power,X),scratc1511593142d_anec(X,Xa))) # label(fact_def__ectset) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 85 (all X all Xa scratc1579868747nd_ect(X,Xa) = aa_fun1431113780TP_ind(scratc963963173_d_Sep(aa_TPTP_ind_TPTP_ind(scratc1931580058_power,X)),scratc1511593142d_anec(X,Xa))) # label(fact_def__ect) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 86 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(scratc1511593142d_anec(X,Xa),Xb)) <-> pp(aa_fun171081125l_bool(scratc335906485l_some(X),aa_TPT43085870d_bool(scratc1579868743nd_ecp(X,Xa),Xb))))) # label(fact_def__anec) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 87 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1579868743nd_ecp(X,Xa),Xb),Xc)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc331284100d_e_is(aa_TPTP_ind_TPTP_ind(scratc1931580058_power,X)),Xb),aa_TPTP_ind_TPTP_ind(scratc1355915076_ecelt(X,Xa),Xc))))) # label(fact_def__ecp) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 88 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc1355915076_ecelt(X,Xa),Xb) = aa_fun1431113780TP_ind(scratc963963173_d_Sep(X),aa_TPT43085870d_bool(Xa,Xb))) # label(fact_def__ecelt) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 89 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc1182207769unmore(X,Xa),Xb) = aa_fun1431113780TP_ind(scratc963963173_d_Sep(X),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_az(X),Xa),Xb))) # label(fact_def__unmore) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 90 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc192490616etprop(X,Xa),Xb),Xc)) <-> pp(scratc1080214622_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc381266158d_esti(X),Xc),Xa),scratc1187679802_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc381266158d_esti(X),Xc),Xb)))))) # label(fact_def__nissetprop) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 91 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc719713512t_disj(X),Xa),Xb)) <-> pp(aa_fun171081125l_bool(scratc1547413110nd_all(X),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ba(X),Xa),Xb))))) # label(fact_def__st__disj) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 92 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1313708601d_incl(X),Xa),Xb)) <-> pp(aa_fun171081125l_bool(scratc1547413110nd_all(X),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bb(X),Xa),Xb))))) # label(fact_def__incl) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 93 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1460372459nempty,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc335906485l_some(X),aa_TPT43085870d_bool(aTP_Lamm_bc(X),Xa))))) # label(fact_def__nonempty) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 94 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc663253826_empty,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aa_TPT43085870d_bool(aTP_Lamm_ar,X)),scratc1655009474nd_non(X,aa_TPT43085870d_bool(aTP_Lamm_bc(X),Xa)))))) # label(fact_def__empty) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 95 (all X scratc381266158d_esti(X) = scratc760232304bnd_in) # label(fact_def__esti) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 96 (all X all Xa (scratc112971909d_r_ec(X,Xa) <-> (pp(X) -> pp(scratc1187679802_d_not(Xa))))) # label(fact_def__r__ec) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 97 (all X all Xa all Xb all Xc all Xd aa_TPTP_ind_TPTP_ind(scratc1867561899hangef(X,Xa,Xb,Xc),Xd) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1138915660_Sigma,X),aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aa_TPT1781712639TP_ind(aTP_Lamm_bd(X),Xb),Xc),Xd))) # label(fact_def__changef) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 98 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc944117220wissel(X,Xa),Xb) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1138915660_Sigma,X),scratc131860303sel_wb(X,Xa,Xb))) # label(fact_def__wissel) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 99 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc131860303sel_wb(X,Xa,Xb),Xc) = aa_TPTP_ind_TPTP_ind(scratc1614029935nd_ite(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc331284100d_e_is(X),Xc),Xb),X,Xa),aa_TPTP_ind_TPTP_ind(scratc131860302sel_wa(X,Xa,Xb),Xc))) # label(fact_def__wissel__wb) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 100 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc131860302sel_wa(X,Xa,Xb),Xc) = aa_TPTP_ind_TPTP_ind(scratc1614029935nd_ite(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc331284100d_e_is(X),Xc),Xa),X,Xb),Xc)) # label(fact_def__wissel__wa) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 101 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc1614029935nd_ite(X,Xa,Xb),Xc) = scratc1613636340nd_ind(Xa,aa_TPT43085870d_bool(scratc2060487491_prop1(X,Xa,Xb),Xc))) # label(fact_def__ite) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 102 (all X all Xa all Xb all Xc all Xd (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2060487491_prop1(X,Xa,Xb),Xc),Xd)) <-> pp(scratc1080214622_d_and(aa_bool_bool(aa_boo1142376798l_bool(scratc1613570753nd_imp,X),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc331284100d_e_is(Xa),Xd),Xb)),aa_bool_bool(aa_boo1142376798l_bool(scratc1613570753nd_imp,scratc1187679802_d_not(X)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc331284100d_e_is(Xa),Xd),Xc)))))) # label(fact_def__prop1) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 103 (all X all Xa scratc1703333151second(X,Xa) = scratc2060093897_proj1) # label(fact_def__second) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 104 (all X all Xa scratc844410373_first(X,Xa) = scratc2060093896_proj0) # label(fact_def__first) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 105 (all X all Xa scratc1345373811d_pair(X,Xa) = scratc228362085d_pair) # label(fact_def__d__pair) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 106 (all X all Xa scratc1663664579nd_out(X,Xa) = scratc538104309d_soft(aa_fun1431113780TP_ind(scratc963963173_d_Sep(X),Xa),X,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1138915660_Sigma,aa_fun1431113780TP_ind(scratc963963173_d_Sep(X),Xa)),scratc331284095d_e_in(X,Xa)))) # label(fact_def__out) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 107 (all X all Xa all Xb (gg_TPTP_ind(Xb) -> aa_TPTP_ind_TPTP_ind(scratc331284095d_e_in(X,Xa),Xb) = Xb)) # label(fact_def__e__in) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 108 (all X all Xa all Xb all Xc all Xd aa_TPTP_ind_TPTP_ind(scratc685379886_inj_h(X,Xa,Xb,Xc),Xd) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1138915660_Sigma,X),aa_TPT1424761345TP_ind(aTP_Lamm_be(Xc),Xd))) # label(fact_def__inj__h) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 109 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc1314954976d_invf(X,Xa),Xb) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1138915660_Sigma,Xa),scratc538104309d_soft(X,Xa,Xb))) # label(fact_def__invf) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 110 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1827114074ective(X),Xa),Xb)) <-> pp(scratc1080214622_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1643394844ective(X),Xa),Xb),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1875719559ective(X),Xa),Xb))))) # label(fact_def__bijective) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 111 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1875719559ective(X),Xa),Xb)) <-> pp(aa_fun171081125l_bool(scratc1547413110nd_all(Xa),aa_TPT43085870d_bool(scratc801768304_image(X,Xa),Xb))))) # label(fact_def__surjective) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 112 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc1853602949nverse(X,Xa),Xb) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1138915660_Sigma,Xa),aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aTP_Lamm_bf(X),Xa),Xb))) # label(fact_def__inverse) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 113 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc538104309d_soft(X,Xa,Xb),Xc) = scratc1613636340nd_ind(X,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bg(Xa),Xb),Xc))) # label(fact_def__soft) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 114 (all X all Xa scratc1318691507d_tofs(X,Xa) = scratc759707514bnd_ap) # label(fact_def__tofs) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 115 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc801768304_image(X,Xa),Xb),Xc)) <-> pp(aa_fun171081125l_bool(scratc335906485l_some(X),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bg(Xa),Xb),Xc))))) # label(fact_def__image) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 116 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1643394844ective(X),Xa),Xb)) <-> pp(aa_fun171081125l_bool(scratc1547413110nd_all(X),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bi(X),Xa),Xb))))) # label(fact_def__injective) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 117 (all X all Xa scratc1613636340nd_ind(X,Xa) = scratc1580721533nd_eps(aa_fun1584354236d_bool(aTP_Lamm_bj(X),Xa))) # label(fact_def__ind) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 118 (all X all Xa (pp(aa_fun171081125l_bool(scratc1663205371nd_one(X),Xa)) <-> pp(scratc1080214622_d_and(scratc391308847_amone(X,Xa),aa_fun171081125l_bool(scratc335906485l_some(X),Xa))))) # label(fact_def__one) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 119 (all X all Xa (pp(scratc391308847_amone(X,Xa)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aa_TPT43085870d_bool(aTP_Lamm_ar,X)),aa_fun1584354236d_bool(aTP_Lamm_bl(X),Xa))))) # label(fact_def__amone) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 120 (all X scratc331284100d_e_is(X) = fequal_TPTP_ind) # label(fact_def__e__is) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 121 (all X all Xa all Xb (scratc837455367_orec3(X,Xa,Xb) <-> pp(scratc1080214622_d_and(scratc1663467717nd_or3(X,Xa,Xb),scratc1579868682nd_ec3(X,Xa,Xb))))) # label(fact_def__orec3) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 122 (all X all Xa all Xb (pp(scratc1579868682nd_ec3(X,Xa,Xb)) <-> scratc1511527495d_and3(scratc1865520767d_l_ec(X,Xa),scratc1865520767d_l_ec(Xa,Xb),scratc1865520767d_l_ec(Xb,X)))) # label(fact_def__ec3) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 123 (all X all Xa all Xb (scratc1511527495d_and3(X,Xa,Xb) <-> pp(scratc1080214622_d_and(X,scratc1080214622_d_and(Xa,Xb))))) # label(fact_def__and3) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 124 (all X all Xa all Xb (pp(scratc1663467717nd_or3(X,Xa,Xb)) <-> pp(aa_bool_bool(scratc1866176772d_l_or(X),aa_bool_bool(scratc1866176772d_l_or(Xa),Xb))))) # label(fact_def__or3) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 125 (all X all Xa (pp(aa_fun171081125l_bool(scratc335906485l_some(X),Xa)) <-> pp(scratc1187679802_d_not(aa_fun171081125l_bool(scratc1225245677all_of(aa_TPT43085870d_bool(aTP_Lamm_ar,X)),scratc1655009474nd_non(X,Xa)))))) # label(fact_def__l__some) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 126 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(scratc1655009474nd_non(X,Xa),Xb)) <-> pp(scratc1187679802_d_not(aa_TPTP_ind_bool(Xa,Xb))))) # label(fact_def__non) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 127 (all X scratc1547413110nd_all(X) = scratc1225245677all_of(aa_TPT43085870d_bool(aTP_Lamm_ar,X))) # label(fact_def__all) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 128 (all X all Xa (scratc1974356072_l_iff(X,Xa) <-> pp(scratc1080214622_d_and(aa_bool_bool(aa_boo1142376798l_bool(scratc1613570753nd_imp,X),Xa),aa_bool_bool(aa_boo1142376798l_bool(scratc1613570753nd_imp,Xa),X))))) # label(fact_def__l__iff) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 129 (all X all Xa (scratc1735441708d_orec(X,Xa) <-> pp(scratc1080214622_d_and(aa_bool_bool(scratc1866176772d_l_or(X),Xa),scratc1865520767d_l_ec(X,Xa))))) # label(fact_def__orec) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 130 (all X scratc1866176772d_l_or(X) = aa_boo1142376798l_bool(scratc1613570753nd_imp,scratc1187679802_d_not(X))) # label(fact_def__l__or) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 131 (all X all Xa (pp(scratc1080214622_d_and(X,Xa)) <-> pp(scratc1187679802_d_not(scratc1865520767d_l_ec(X,Xa))))) # label(fact_def__d__and) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 132 (all X all Xa (pp(scratc1865520767d_l_ec(X,Xa)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1613570753nd_imp,X),scratc1187679802_d_not(Xa))))) # label(fact_def__l__ec) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 133 scratc571201948bvious <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1613570753nd_imp,fFalse),fFalse)) # label(fact_def__obvious) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 134 (all X (scratc1728707027nd_wel(X) <-> pp(scratc1187679802_d_not(scratc1187679802_d_not(X))))) # label(fact_def__wel) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 135 (all X (pp(scratc1187679802_d_not(X)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1613570753nd_imp,X),fFalse)))) # label(fact_def__d__not) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 136 (all X all Xa aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1337563474d_d_Pi,X),Xa) = aa_fun1431113780TP_ind(scratc963963173_d_Sep(aa_TPTP_ind_TPTP_ind(scratc1931580058_power,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1138915660_Sigma,X),aTP_Lamm_bm(Xa)))),aa_fun1913827119d_bool(aTP_Lamm_bn(X),Xa))) # label(fact_def__d__Pi) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 137 (all X (gg_TPTP_ind(X) -> (pp(aa_TPTP_ind_bool(scratc164621579pair_p,X)) <-> aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc228362085d_pair,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc759707514bnd_ap,X),scratc1174777472ptyset)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc759707514bnd_ap,X),aa_TPTP_ind_TPTP_ind(scratc307871608rdsucc,scratc1174777472ptyset))) = X))) # label(fact_def__pair__p) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 138 (all X all Xa aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc759707514bnd_ap,X),Xa) = aa_fun277296641TP_ind(scratc755951190eplSep(X,aa_TPT43085870d_bool(aTP_Lamm_bo,Xa)),scratc2060093897_proj1)) # label(fact_def__ap) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 139 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc2089278350etprod(X),Xa) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1138915660_Sigma,X),aTP_Lamm_ag(Xa))) # label(fact_def__setprod) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 140 (all X all Xa aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1138915660_Sigma,X),Xa) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1540218024munion,X),aTP_Lamm_bp(Xa))) # label(fact_def__d__Sigma) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 141 (all X aa_TPTP_ind_TPTP_ind(scratc2060093897_proj1,X) = aa_fun277296641TP_ind(scratc755951190eplSep(X,aTP_Lamm_bq),scratc981076568_d_Unj)) # label(fact_def__proj1) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 142 (all X aa_TPTP_ind_TPTP_ind(scratc2060093896_proj0,X) = aa_fun277296641TP_ind(scratc755951190eplSep(X,aTP_Lamm_br),scratc981076568_d_Unj)) # label(fact_def__proj0) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 143 (all X all Xa aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc228362085d_pair,X),Xa) = aa_TPTP_ind_TPTP_ind(scratc386591475nunion(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1823041690d_repl,X),scratc1074709220d_Inj0)),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1823041690d_repl,Xa),scratc1074709221d_Inj1))) # label(fact_def__pair) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 144 (all X aa_TPTP_ind_TPTP_ind(scratc1074709220d_Inj0,X) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1823041690d_repl,X),scratc1074709221d_Inj1)) # label(fact_def__d__Inj0) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 145 (all X (pp(aa_TPTP_ind_bool(scratc1979403226_nat_p,X)) <-> (all X1 (pp(aa_TPTP_ind_bool(X1,scratc1174777472ptyset)) -> ((all X2 (gg_TPTP_ind(X2) -> (pp(aa_TPTP_ind_bool(X1,X2)) -> pp(aa_TPTP_ind_bool(X1,aa_TPTP_ind_TPTP_ind(scratc307871608rdsucc,X2)))))) -> pp(aa_TPTP_ind_bool(X1,X))))))) # label(fact_def__nat__p) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 146 (all X aa_TPTP_ind_TPTP_ind(scratc307871608rdsucc,X) = aa_TPTP_ind_TPTP_ind(scratc386591475nunion(X),aa_TPTP_ind_TPTP_ind(scratc249601544d_Sing,X))) # label(fact_def__ordsucc) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 147 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc483714770In_rec(X),Xa) = scratc1580721533nd_eps(aa_TPT43085870d_bool(scratc997568309_rec_G(X),Xa))) # label(fact_def__d__In__rec) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 148 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc997568309_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(scratc760232304bnd_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].
% 1.22/1.63 149 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc302877017tminus(X),Xa) = aa_fun1431113780TP_ind(scratc963963173_d_Sep(X),aa_TPT43085870d_bool(aTP_Lamm_bu,Xa))) # label(fact_def__setminus) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 150 (all X all Xa scratc755951190eplSep(X,Xa) = aa_TPT494704832TP_ind(scratc1823041690d_repl,aa_fun1431113780TP_ind(scratc963963173_d_Sep(X),Xa))) # label(fact_def__d__ReplSep) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 151 (all X all Xa aa_fun1431113780TP_ind(scratc963963173_d_Sep(X),Xa) = aa_TPTP_ind_TPTP_ind(scratc760232296bnd_if(fEx_TPTP_ind(cOMBS_2003118649l_bool(cOMBB_658106424TP_ind(fconj,aa_TPT43085870d_bool(cOMBC_1555011498d_bool(scratc760232304bnd_in),X)),Xa)),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1823041690d_repl,X),aa_fun1235454963TP_ind(aTP_Lamm_bv(X),Xa))),scratc1174777472ptyset)) # label(fact_def__d__Sep) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 152 (all X all Xa aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1540218024munion,X),Xa) = aa_TPTP_ind_TPTP_ind(scratc291358276_union,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1823041690d_repl,X),Xa))) # label(fact_def__famunion) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 153 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc386591475nunion(X),Xa) = aa_TPTP_ind_TPTP_ind(scratc291358276_union,aa_TPTP_ind_TPTP_ind(scratc1033402038_UPair(X),Xa))) # label(fact_def__binunion) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 154 (all X aa_TPTP_ind_TPTP_ind(scratc249601544d_Sing,X) = aa_TPTP_ind_TPTP_ind(scratc1033402038_UPair(X),X)) # label(fact_def__d__Sing) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 155 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc1033402038_UPair(X),Xa) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1823041690d_repl,aa_TPTP_ind_TPTP_ind(scratc1931580058_power,aa_TPTP_ind_TPTP_ind(scratc1931580058_power,scratc1174777472ptyset))),aa_TPT1424761345TP_ind(aTP_Lamm_bw(X),Xa))) # label(fact_def__d__UPair) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 156 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1652516712nd_nIn,X),Xa)) <-> -pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,X),Xa)))) # label(fact_def__nIn) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 157 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc760232296bnd_if(X,Xa),Xb) = scratc1580721533nd_eps(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bx(X),Xa),Xb))) # label(fact_def__if) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 158 (all X (pp(aa_TPTP_ind_bool(scratc1296092209closed,X)) <-> pp(aa_TPTP_ind_bool(scratc922253602closed,X)) & pp(aa_TPTP_ind_bool(scratc1086986616closed,X)) & pp(aa_TPTP_ind_bool(scratc1132313172closed,X)))) # label(fact_def__d__ZF__closed) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 159 (all X (pp(aa_TPTP_ind_bool(scratc1132313172closed,X)) <-> (all X1 (gg_TPTP_ind(X1) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,X1),X)) -> (all X2 ((all X3 (gg_TPTP_ind(X3) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,X3),X1)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,aa_TPTP_ind_TPTP_ind(X2,X3)),X))))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1823041690d_repl,X1),X2)),X))))))))) # label(fact_def__d__Repl__closed) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 160 (all X (pp(aa_TPTP_ind_bool(scratc1086986616closed,X)) <-> (all X1 (gg_TPTP_ind(X1) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,X1),X)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,aa_TPTP_ind_TPTP_ind(scratc1931580058_power,X1)),X))))))) # label(fact_def__d__Power__closed) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 161 (all X (pp(aa_TPTP_ind_bool(scratc922253602closed,X)) <-> (all X1 (gg_TPTP_ind(X1) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,X1),X)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,aa_TPTP_ind_TPTP_ind(scratc291358276_union,X1)),X))))))) # label(fact_def__d__Union__closed) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 162 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc347952426d_Subq,X),Xa)) <-> (all X2 (gg_TPTP_ind(X2) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,X2),X)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,X2),Xa))))))) # label(fact_def__d__Subq) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 163 (all X all Xa (pp(aa_fun171081125l_bool(scratc1225245677all_of(X),Xa)) <-> (all X2 (gg_TPTP_ind(X2) -> (scratc2092759020_is_of(X2,X) -> pp(aa_TPTP_ind_bool(Xa,X2))))))) # label(fact_def__all__of) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 164 (all X all Xa (scratc2092759020_is_of(X,Xa) <-> pp(aa_TPTP_ind_bool(Xa,X)))) # label(fact_def__is__of) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 165 (all X0 (pp(aa_fun171081125l_bool(scratc1079731127n_some,X0)) -> pp(aa_fun171081125l_bool(scratc620980707_n_one,scratc1646354375nd_min(X0))))) # label(fact_satz27a) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 166 (all X0 (pp(aa_fun171081125l_bool(scratc1079731127n_some,X0)) -> pp(aa_fun171081125l_bool(scratc1079731127n_some,scratc1646354375nd_min(X0))))) # label(fact_satz27) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 167 (all X0 pp(aa_fun171081125l_bool(scratc1225245677all_of(aa_TPT43085870d_bool(aTP_Lamm_wa,X0)),aa_TPT43085870d_bool(aTP_Lamm_wc,X0)))) # label(fact_isseti) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 168 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1225245677all_of(aa_TPT43085870d_bool(aTP_Lamm_ar,X0)),aa_fun1584354236d_bool(aTP_Lamm_wd(X0),X12)))) # label(fact_estie) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 169 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1225245677all_of(aa_TPT43085870d_bool(aTP_Lamm_ar,X0)),aa_fun1584354236d_bool(aTP_Lamm_we(X0),X12)))) # label(fact_estii) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 170 (all X0 all X12 scratc2092759020_is_of(aa_fun1431113780TP_ind(scratc963963173_d_Sep(X0),X12),aa_TPT43085870d_bool(aTP_Lamm_wa,X0))) # label(fact_setof__p) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 171 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1225245677all_of(aa_TPT43085870d_bool(aTP_Lamm_ar,X0)),aa_TPT43085870d_bool(aTP_Lamm_wg(X0),X12)))) # label(fact_secondis1) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 172 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1225245677all_of(aa_TPT43085870d_bool(aTP_Lamm_ar,X0)),aa_TPT43085870d_bool(aTP_Lamm_wi(X0),X12)))) # label(fact_firstis1) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 173 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1225245677all_of(aa_TPT43085870d_bool(aTP_Lamm_wj(X0),X12)),aa_TPT43085870d_bool(aTP_Lamm_wk(X0),X12)))) # label(fact_pairis1) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 174 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1225245677all_of(aa_TPT43085870d_bool(aTP_Lamm_wj(X0),X12)),aa_TPT43085870d_bool(aTP_Lamm_wl(X0),X12)))) # label(fact_second__p) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 175 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1225245677all_of(aa_TPT43085870d_bool(aTP_Lamm_wj(X0),X12)),aa_TPT43085870d_bool(aTP_Lamm_wm(X0),X12)))) # label(fact_first__p) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 176 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1225245677all_of(aa_TPT43085870d_bool(aTP_Lamm_ar,X0)),aa_TPT43085870d_bool(aTP_Lamm_wo(X0),X12)))) # label(fact_e__pair__p) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 177 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1225245677all_of(aa_TPT43085870d_bool(aTP_Lamm_ar,X0)),aa_fun1584354236d_bool(aTP_Lamm_wp(X0),X12)))) # label(fact_otax2) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 178 (all X0 all X12 pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1643394844ective(aa_fun1431113780TP_ind(scratc963963173_d_Sep(X0),X12)),X0),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1138915660_Sigma,aa_fun1431113780TP_ind(scratc963963173_d_Sep(X0),X12)),scratc331284095d_e_in(X0,X12))))) # label(fact_otax1) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 179 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1225245677all_of(aa_fun1584354236d_bool(aTP_Lamm_wq(X0),X12)),aa_fun1584354236d_bool(aTP_Lamm_wr(X0),X12)))) # label(fact_e__inp) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 180 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1225245677all_of(aa_fun1584354236d_bool(aTP_Lamm_wq(X0),X12)),aa_fun1584354236d_bool(aTP_Lamm_ws(X0),X12)))) # label(fact_e__in__p) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 181 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1225245677all_of(aa_TPT43085870d_bool(aTP_Lamm_wt(X0),X12)),aa_TPT43085870d_bool(aTP_Lamm_ww(X0),X12)))) # label(fact_e__fisi) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 182 (all X0 all X12 (pp(aa_fun171081125l_bool(scratc1663205371nd_one(X0),X12)) -> pp(aa_TPTP_ind_bool(X12,scratc1613636340nd_ind(X0,X12))))) # label(fact_oneax) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 183 (all X0 all X12 (pp(aa_fun171081125l_bool(scratc1663205371nd_one(X0),X12)) -> scratc2092759020_is_of(scratc1613636340nd_ind(X0,X12),aa_TPT43085870d_bool(aTP_Lamm_ar,X0)))) # label(fact_ind__p) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 184 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1225245677all_of(aa_TPT43085870d_bool(aTP_Lamm_ar,X0)),aa_fun1584354236d_bool(aTP_Lamm_wy(X0),X12)))) # label(fact_e__isp) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 185 (all X0 pp(aa_fun171081125l_bool(scratc1225245677all_of(aa_TPT43085870d_bool(aTP_Lamm_ar,X0)),aa_TPT43085870d_bool(aTP_Lamm_wz,X0)))) # label(fact_refis) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 186 (all X0 (scratc1728707027nd_wel(X0) -> pp(X0))) # label(fact_l__et) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 187 (all X0 all X12 all X22 all X32 (pp(X0) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,X12),aa_TPTP_ind_TPTP_ind(scratc760232296bnd_if(X0,X22),X32))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,X12),X22))))) # label(fact_k__If__In__then__E) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 188 (all X0 all X12 all X22 ((pp(X0) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,X12),X22))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,aa_TPTP_ind_TPTP_ind(scratc760232296bnd_if(X0,X12),scratc1174777472ptyset)),aa_TPTP_ind_TPTP_ind(scratc760232296bnd_if(X0,X22),aa_TPTP_ind_TPTP_ind(scratc307871608rdsucc,scratc1174777472ptyset)))))) # label(fact_k__If__In__01) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 189 (all X0 all X12 all X22 ((all X33 (gg_TPTP_ind(X33) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,X33),X0)) -> aa_TPTP_ind_TPTP_ind(X12,X33) = aa_TPTP_ind_TPTP_ind(X22,X33)))) -> aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1138915660_Sigma,X0),X12) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1138915660_Sigma,X0),X22))) # label(fact_xi__ext) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 190 (all X0 all X12 all X22 (gg_TPTP_ind(X22) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1337563474d_d_Pi,X0),X12))) -> (all X32 (gg_TPTP_ind(X32) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,X32),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1337563474d_d_Pi,X0),X12))) -> ((all X42 (gg_TPTP_ind(X42) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,X42),X0)) -> aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc759707514bnd_ap,X22),X42) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc759707514bnd_ap,X32),X42)))) -> X22 = X32))))))) # label(fact_k__Pi__ext) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 191 (all X0 all X12 all X22 all X32 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1337563474d_d_Pi,X0),X12))) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,X32),X0)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc759707514bnd_ap,X22),X32)),aa_TPTP_ind_TPTP_ind(X12,X32)))))) # label(fact_ap__Pi) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 192 (all X0 all X12 all X22 ((all X33 (gg_TPTP_ind(X33) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,X33),X0)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,aa_TPTP_ind_TPTP_ind(X22,X33)),aa_TPTP_ind_TPTP_ind(X12,X33)))))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1138915660_Sigma,X0),X22)),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1337563474d_d_Pi,X0),X12))))) # label(fact_lam__Pi) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 193 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,X22),X0)) -> aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc759707514bnd_ap,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1138915660_Sigma,X0),X12)),X22) = aa_TPTP_ind_TPTP_ind(X12,X22))) # label(fact_beta) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 194 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1138915660_Sigma,X0),X12))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,aa_TPTP_ind_TPTP_ind(scratc2060093897_proj1,X22)),aa_TPTP_ind_TPTP_ind(X12,aa_TPTP_ind_TPTP_ind(scratc2060093896_proj0,X22)))))) # label(fact_proj1__Sigma) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 195 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1138915660_Sigma,X0),X12))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,aa_TPTP_ind_TPTP_ind(scratc2060093896_proj0,X22)),X0)))) # label(fact_proj0__Sigma) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 196 (all X0 all X12 all X22 (gg_TPTP_ind(X22) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1138915660_Sigma,X0),X12))) -> aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc228362085d_pair,aa_TPTP_ind_TPTP_ind(scratc2060093896_proj0,X22)),aa_TPTP_ind_TPTP_ind(scratc2060093897_proj1,X22)) = X22))) # label(fact_proj__Sigma__eta) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 197 (all X0 all X12 all X22 (gg_TPTP_ind(X22) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1138915660_Sigma,X0),X12))) -> aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc228362085d_pair,aa_TPTP_ind_TPTP_ind(scratc2060093896_proj0,X22)),aa_TPTP_ind_TPTP_ind(scratc2060093897_proj1,X22)) = X22 & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,aa_TPTP_ind_TPTP_ind(scratc2060093896_proj0,X22)),X0)) & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,aa_TPTP_ind_TPTP_ind(scratc2060093897_proj1,X22)),aa_TPTP_ind_TPTP_ind(X12,aa_TPTP_ind_TPTP_ind(scratc2060093896_proj0,X22))))))) # label(fact_k__Sigma__eta__proj0__proj1) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 198 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,X22),X0)) -> (all X32 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,X32),aa_TPTP_ind_TPTP_ind(X12,X22))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc228362085d_pair,X22),X32)),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1138915660_Sigma,X0),X12))))))) # label(fact_pair__Sigma) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 199 (all X0 all X12 (gg_TPTP_ind(X12) -> aa_TPTP_ind_TPTP_ind(scratc2060093897_proj1,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc228362085d_pair,X0),X12)) = X12)) # label(fact_proj1__pair__eq) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 200 (all X0 all X12 (gg_TPTP_ind(X0) -> aa_TPTP_ind_TPTP_ind(scratc2060093896_proj0,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc228362085d_pair,X0),X12)) = X0)) # label(fact_proj0__pair__eq) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 201 (all X0 (pp(aa_TPTP_ind_bool(scratc1979403226_nat_p,X0)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,X0),scratc1229749110_omega)))) # label(fact_nat__p__omega) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 202 (all X0 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,X0),scratc1229749110_omega)) -> pp(aa_TPTP_ind_bool(scratc1979403226_nat_p,X0)))) # label(fact_omega__nat__p) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 203 (all X0 (gg_TPTP_ind(X0) -> (pp(aa_TPTP_ind_bool(scratc1979403226_nat_p,X0)) -> X0 = scratc1174777472ptyset | (exists X13 (gg_TPTP_ind(X13) & pp(aa_TPTP_ind_bool(scratc1979403226_nat_p,X13)) & X0 = aa_TPTP_ind_TPTP_ind(scratc307871608rdsucc,X13)))))) # label(fact_nat__inv) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 204 (all X0 (pp(aa_TPTP_ind_bool(X0,scratc1174777472ptyset)) -> ((all X13 (gg_TPTP_ind(X13) -> (pp(aa_TPTP_ind_bool(scratc1979403226_nat_p,X13)) -> (pp(aa_TPTP_ind_bool(X0,X13)) -> pp(aa_TPTP_ind_bool(X0,aa_TPTP_ind_TPTP_ind(scratc307871608rdsucc,X13))))))) -> (all X12 (pp(aa_TPTP_ind_bool(scratc1979403226_nat_p,X12)) -> pp(aa_TPTP_ind_bool(X0,X12))))))) # label(fact_nat__ind) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 205 (all X0 (pp(aa_TPTP_ind_bool(scratc1979403226_nat_p,X0)) -> pp(aa_TPTP_ind_bool(scratc1979403226_nat_p,aa_TPTP_ind_TPTP_ind(scratc307871608rdsucc,X0))))) # label(fact_nat__ordsucc) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 206 (all X0 all X12 (gg_TPTP_ind(X0) & gg_TPTP_ind(X12) -> (aa_TPTP_ind_TPTP_ind(scratc307871608rdsucc,X0) = aa_TPTP_ind_TPTP_ind(scratc307871608rdsucc,X12) -> X0 = X12))) # label(fact_ordsucc__inj) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 207 (all X0 aa_TPTP_ind_TPTP_ind(scratc307871608rdsucc,X0) != scratc1174777472ptyset) # label(fact_neq__ordsucc__0) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 208 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,X22),aa_fun1431113780TP_ind(scratc963963173_d_Sep(X0),X12))) -> pp(aa_TPTP_ind_bool(X12,X22)))) # label(fact_k__SepE2) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 209 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,X22),aa_fun1431113780TP_ind(scratc963963173_d_Sep(X0),X12))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,X22),X0)))) # label(fact_k__SepE1) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 210 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,X22),X0)) -> (pp(aa_TPTP_ind_bool(X12,X22)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,X22),aa_fun1431113780TP_ind(scratc963963173_d_Sep(X0),X12)))))) # label(fact_k__SepI) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 211 (all X0 pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,X0),aa_TPTP_ind_TPTP_ind(scratc1931580058_power,X0)))) # label(fact_k__Self__In__Power) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 212 (all X0 all X12 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc347952426d_Subq,X12),X0)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,X12),aa_TPTP_ind_TPTP_ind(scratc1931580058_power,X0))))) # label(fact_k__PowerI) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 213 (all X0 all X12 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,X12),aa_TPTP_ind_TPTP_ind(scratc1931580058_power,X0))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc347952426d_Subq,X12),X0)))) # label(fact_k__PowerE) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 214 (all X0 all X12 all X22 (gg_TPTP_ind(X12) & gg_TPTP_ind(X22) -> aa_TPTP_ind_TPTP_ind(scratc760232296bnd_if(X0,X12),X22) = X12 | aa_TPTP_ind_TPTP_ind(scratc760232296bnd_if(X0,X12),X22) = X22)) # label(fact_if__i__or) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 215 (all X0 all X12 all X22 (gg_TPTP_ind(X12) -> (pp(X0) -> aa_TPTP_ind_TPTP_ind(scratc760232296bnd_if(X0,X12),X22) = X12))) # label(fact_if__i__1) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 216 (all X0 all X12 all X22 (gg_TPTP_ind(X22) -> (-pp(X0) -> aa_TPTP_ind_TPTP_ind(scratc760232296bnd_if(X0,X12),X22) = X22))) # label(fact_if__i__0) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 217 (all X0 all X12 all X22 (gg_TPTP_ind(X12) & gg_TPTP_ind(X22) -> pp(X0) & aa_TPTP_ind_TPTP_ind(scratc760232296bnd_if(X0,X12),X22) = X12 | -pp(X0) & aa_TPTP_ind_TPTP_ind(scratc760232296bnd_if(X0,X12),X22) = X22)) # label(fact_if__i__correct) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 218 (all X0 pp(aa_TPTP_ind_bool(scratc1296092209closed,aa_TPTP_ind_TPTP_ind(scratc264976360univof,X0)))) # label(fact_k__UnivOf__ZF__closed) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 219 (all X0 pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,X0),aa_TPTP_ind_TPTP_ind(scratc264976360univof,X0)))) # label(fact_k__UnivOf__In) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 220 (all X0 all X12 all X22 (gg_TPTP_ind(X22) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1823041690d_repl,X0),X12))) <-> (exists X3 (gg_TPTP_ind(X3) & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,X3),X0)) & X22 = aa_TPTP_ind_TPTP_ind(X12,X3)))))) # label(fact_k__ReplEq) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 221 (all X0 all X12 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,X12),aa_TPTP_ind_TPTP_ind(scratc1931580058_power,X0))) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc347952426d_Subq,X12),X0)))) # label(fact_k__PowerEq) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 222 (all X0 all X12 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,X12),aa_TPTP_ind_TPTP_ind(scratc291358276_union,X0))) <-> (exists X2 (gg_TPTP_ind(X2) & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,X12),X2)) & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,X2),X0)))))) # label(fact_k__UnionEq) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 223 -(exists X0 pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,X0),scratc1174777472ptyset))) # label(fact_k__EmptyAx) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 224 (all X0 ((all X13 (gg_TPTP_ind(X13) -> ((all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_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].
% 1.22/1.63 225 (all X0 all X12 (gg_TPTP_ind(X0) & gg_TPTP_ind(X12) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc347952426d_Subq,X0),X12)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc347952426d_Subq,X12),X0)) -> X0 = X12)))) # label(fact_set__ext) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 226 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_vp,Uu)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1654615885nd_nis,Uu),scratc797492270nd_n_1)) -> pp(aa_fun171081125l_bool(scratc1079731127n_some,aa_TPT43085870d_bool(aTP_Lamm_ao,Uu)))))) # label(fact_ATP_Olambda__1) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 227 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_vo,Uu)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1654615885nd_nis,Uu),scratc797492270nd_n_1)) -> pp(aa_fun171081125l_bool(scratc620980707_n_one,aa_TPT43085870d_bool(aTP_Lamm_ao,Uu)))))) # label(fact_ATP_Olambda__2) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 228 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_vl,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uu),scratc797492270nd_n_1)),aa_TPTP_ind_TPTP_ind(scratc307871608rdsucc,Uu))))) # label(fact_ATP_Olambda__3) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 229 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nn,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uu),scratc797492270nd_n_1)),Uu)))) # label(fact_ATP_Olambda__4) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 230 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_vi,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(scratc797492270nd_n_1),Uu)),aa_TPTP_ind_TPTP_ind(scratc307871608rdsucc,Uu))))) # label(fact_ATP_Olambda__5) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 231 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nk,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(scratc797492270nd_n_1),Uu)),Uu)))) # label(fact_ATP_Olambda__6) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 232 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_vn,Uu)) <-> pp(aa_fun171081125l_bool(scratc1663205371nd_one(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1337563474d_d_Pi,scratc1654091094nd_nat),aTP_Lamm_ai)),aa_TPT43085870d_bool(aTP_Lamm_vm,Uu))))) # label(fact_ATP_Olambda__7) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 233 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_np,Uu)) <-> pp(aa_fun171081125l_bool(scratc1663205371nd_one(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1337563474d_d_Pi,scratc1654091094nd_nat),aTP_Lamm_ai)),aa_TPT43085870d_bool(aTP_Lamm_no,Uu))))) # label(fact_ATP_Olambda__8) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 234 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_vv,Uu)) <-> (pp(aa_TPTP_ind_bool(scratc2075210628_cond1,Uu)) -> (pp(aa_TPTP_ind_bool(scratc2075210629_cond2,Uu)) -> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_vu,Uu))))))) # label(fact_ATP_Olambda__9) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 235 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_vf,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,aa_TPTP_ind_TPTP_ind(scratc307871608rdsucc,Uu)),aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uu),scratc797492270nd_n_1))))) # label(fact_ATP_Olambda__10) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 236 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_vc,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,aa_TPTP_ind_TPTP_ind(scratc307871608rdsucc,Uu)),aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(scratc797492270nd_n_1),Uu))))) # label(fact_ATP_Olambda__11) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 237 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sc,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc451552192_29_ii,aa_TPTP_ind_TPTP_ind(scratc307871608rdsucc,Uu)),Uu)))) # label(fact_ATP_Olambda__12) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 238 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_vq,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1654615885nd_nis,aa_TPTP_ind_TPTP_ind(scratc307871608rdsucc,Uu)),Uu)))) # label(fact_ATP_Olambda__13) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 239 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_vz,Uu)) <-> scratc2092759020_is_of(aa_TPTP_ind_TPTP_ind(scratc307871608rdsucc,Uu),aTP_Lamm_fr))) # label(fact_ATP_Olambda__14) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 240 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_oh,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc451552192_29_ii,aa_TPTP_ind_TPTP_ind(scratc307871608rdsucc,Uu)),scratc797492270nd_n_1)))) # label(fact_ATP_Olambda__15) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 241 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_vy,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1654615885nd_nis,aa_TPTP_ind_TPTP_ind(scratc307871608rdsucc,Uu)),scratc797492270nd_n_1)))) # label(fact_ATP_Olambda__16) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 242 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nh,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,Uu),aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uu),scratc797492270nd_n_1))))) # label(fact_ATP_Olambda__17) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 243 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ne,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,Uu),aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(scratc797492270nd_n_1),Uu))))) # label(fact_ATP_Olambda__18) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 244 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sb,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1613308350nd_iii,Uu),aa_TPTP_ind_TPTP_ind(scratc307871608rdsucc,Uu))))) # label(fact_ATP_Olambda__19) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 245 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_vt,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,Uu),aa_TPTP_ind_TPTP_ind(scratc1931580058_power,scratc1654091094nd_nat))))) # label(fact_ATP_Olambda__20) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 246 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jk,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997165711d_n_eq,Uu),Uu)))) # label(fact_ATP_Olambda__21) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 247 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_oi,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1017961130moreis,Uu),scratc797492270nd_n_1)))) # label(fact_ATP_Olambda__22) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 248 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_a,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,Uu),scratc1152345465d_frac)))) # label(fact_ATP_Olambda__23) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 249 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fr,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,Uu),scratc1654091094nd_nat)))) # label(fact_ATP_Olambda__24) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 250 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_vx,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_vw,Uu))))) # label(fact_ATP_Olambda__25) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 251 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_vs,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_vr,Uu))))) # label(fact_ATP_Olambda__26) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 252 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_vk,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_vj,Uu))))) # label(fact_ATP_Olambda__27) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 253 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_vh,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_vg,Uu))))) # label(fact_ATP_Olambda__28) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 254 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ve,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_vd,Uu))))) # label(fact_ATP_Olambda__29) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 255 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_vb,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_va,Uu))))) # label(fact_ATP_Olambda__30) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 256 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_uz,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_uy,Uu))))) # label(fact_ATP_Olambda__31) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 257 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_uw,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_uv,Uu))))) # label(fact_ATP_Olambda__32) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 258 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_uu,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_ut,Uu))))) # label(fact_ATP_Olambda__33) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 259 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_us,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_ur,Uu))))) # label(fact_ATP_Olambda__34) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 260 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_up,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_uo,Uu))))) # label(fact_ATP_Olambda__35) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 261 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_um,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_ul,Uu))))) # label(fact_ATP_Olambda__36) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 262 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_uk,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_uj,Uu))))) # label(fact_ATP_Olambda__37) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 263 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ug,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_uf,Uu))))) # label(fact_ATP_Olambda__38) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 264 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ue,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_ud,Uu))))) # label(fact_ATP_Olambda__39) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 265 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_uc,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_ub,Uu))))) # label(fact_ATP_Olambda__40) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 266 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ua,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_tz,Uu))))) # label(fact_ATP_Olambda__41) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 267 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ty,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_tx,Uu))))) # label(fact_ATP_Olambda__42) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 268 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tw,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_tv,Uu))))) # label(fact_ATP_Olambda__43) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 269 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tu,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_tt,Uu))))) # label(fact_ATP_Olambda__44) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 270 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ts,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_tr,Uu))))) # label(fact_ATP_Olambda__45) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 271 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tq,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_tp,Uu))))) # label(fact_ATP_Olambda__46) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 272 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_to,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_tn,Uu))))) # label(fact_ATP_Olambda__47) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 273 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tm,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_tl,Uu))))) # label(fact_ATP_Olambda__48) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 274 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tk,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_tj,Uu))))) # label(fact_ATP_Olambda__49) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 275 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ti,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_th,Uu))))) # label(fact_ATP_Olambda__50) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 276 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tg,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_tf,Uu))))) # label(fact_ATP_Olambda__51) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 277 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_te,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_td,Uu))))) # label(fact_ATP_Olambda__52) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 278 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_tc,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_tb,Uu))))) # label(fact_ATP_Olambda__53) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 279 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ta,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_sz,Uu))))) # label(fact_ATP_Olambda__54) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 280 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sy,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_sx,Uu))))) # label(fact_ATP_Olambda__55) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 281 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sv,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_su,Uu))))) # label(fact_ATP_Olambda__56) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 282 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ss,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_sr,Uu))))) # label(fact_ATP_Olambda__57) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 283 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sp,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_so,Uu))))) # label(fact_ATP_Olambda__58) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 284 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sm,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_sl,Uu))))) # label(fact_ATP_Olambda__59) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 285 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sj,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_si,Uu))))) # label(fact_ATP_Olambda__60) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 286 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sg,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_sf,Uu))))) # label(fact_ATP_Olambda__61) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 287 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_se,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_sd,Uu))))) # label(fact_ATP_Olambda__62) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 288 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_sa,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_rz,Uu))))) # label(fact_ATP_Olambda__63) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 289 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rx,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_rw,Uu))))) # label(fact_ATP_Olambda__64) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 290 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ru,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_rt,Uu))))) # label(fact_ATP_Olambda__65) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 291 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rr,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_rq,Uu))))) # label(fact_ATP_Olambda__66) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 292 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ro,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_rn,Uu))))) # label(fact_ATP_Olambda__67) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 293 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_rl,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_rk,Uu))))) # label(fact_ATP_Olambda__68) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 294 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ri,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_rh,Uu))))) # label(fact_ATP_Olambda__69) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 295 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_re,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_rd,Uu))))) # label(fact_ATP_Olambda__70) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 296 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ra,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_qz,Uu))))) # label(fact_ATP_Olambda__71) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 297 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qw,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_qv,Uu))))) # label(fact_ATP_Olambda__72) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 298 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qs,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_qr,Uu))))) # label(fact_ATP_Olambda__73) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 299 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qp,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_qo,Uu))))) # label(fact_ATP_Olambda__74) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 300 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qm,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_ql,Uu))))) # label(fact_ATP_Olambda__75) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 301 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qj,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_qi,Uu))))) # label(fact_ATP_Olambda__76) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 302 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qg,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_qf,Uu))))) # label(fact_ATP_Olambda__77) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 303 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qd,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_qc,Uu))))) # label(fact_ATP_Olambda__78) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 304 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_qa,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_pz,Uu))))) # label(fact_ATP_Olambda__79) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 305 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_px,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_pw,Uu))))) # label(fact_ATP_Olambda__80) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 306 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pu,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_pt,Uu))))) # label(fact_ATP_Olambda__81) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 307 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pr,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_pq,Uu))))) # label(fact_ATP_Olambda__82) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 308 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_po,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_pn,Uu))))) # label(fact_ATP_Olambda__83) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 309 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pk,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_pj,Uu))))) # label(fact_ATP_Olambda__84) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 310 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pg,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_pf,Uu))))) # label(fact_ATP_Olambda__85) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 311 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_pc,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_pb,Uu))))) # label(fact_ATP_Olambda__86) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 312 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_oy,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_ox,Uu))))) # label(fact_ATP_Olambda__87) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 313 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ou,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_ot,Uu))))) # label(fact_ATP_Olambda__88) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 314 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_oq,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_op,Uu))))) # label(fact_ATP_Olambda__89) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.63 315 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_om,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_ol,Uu))))) # label(fact_ATP_Olambda__90) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 316 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_of,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_oe,Uu))))) # label(fact_ATP_Olambda__91) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 317 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_od,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_oc,Uu))))) # label(fact_ATP_Olambda__92) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 318 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ob,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_oa,Uu))))) # label(fact_ATP_Olambda__93) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 319 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nz,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_ny,Uu))))) # label(fact_ATP_Olambda__94) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 320 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nx,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_nw,Uu))))) # label(fact_ATP_Olambda__95) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 321 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nv,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_nu,Uu))))) # label(fact_ATP_Olambda__96) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 322 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nt,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_ns,Uu))))) # label(fact_ATP_Olambda__97) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 323 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nr,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_nq,Uu))))) # label(fact_ATP_Olambda__98) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 324 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nm,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_nl,Uu))))) # label(fact_ATP_Olambda__99) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 325 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nj,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_ni,Uu))))) # label(fact_ATP_Olambda__100) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 326 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ng,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_nf,Uu))))) # label(fact_ATP_Olambda__101) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 327 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nd,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_nc,Uu))))) # label(fact_ATP_Olambda__102) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 328 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_nb,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_na,Uu))))) # label(fact_ATP_Olambda__103) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 329 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mz,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_my,Uu))))) # label(fact_ATP_Olambda__104) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 330 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mw,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_mv,Uu))))) # label(fact_ATP_Olambda__105) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 331 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mt,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_ms,Uu))))) # label(fact_ATP_Olambda__106) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 332 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mq,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_mp,Uu))))) # label(fact_ATP_Olambda__107) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 333 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mn,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_mm,Uu))))) # label(fact_ATP_Olambda__108) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 334 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mk,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_mj,Uu))))) # label(fact_ATP_Olambda__109) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 335 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mh,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_mg,Uu))))) # label(fact_ATP_Olambda__110) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 336 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_me,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_md,Uu))))) # label(fact_ATP_Olambda__111) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 337 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_mb,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_ma,Uu))))) # label(fact_ATP_Olambda__112) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 338 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lx,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_lw,Uu))))) # label(fact_ATP_Olambda__113) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 339 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lt,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_ls,Uu))))) # label(fact_ATP_Olambda__114) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 340 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lp,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_lo,Uu))))) # label(fact_ATP_Olambda__115) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 341 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ll,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_lk,Uu))))) # label(fact_ATP_Olambda__116) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 342 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_li,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_lh,Uu))))) # label(fact_ATP_Olambda__117) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 343 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lf,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_le,Uu))))) # label(fact_ATP_Olambda__118) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 344 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_lc,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_lb,Uu))))) # label(fact_ATP_Olambda__119) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 345 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kz,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_ky,Uu))))) # label(fact_ATP_Olambda__120) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 346 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kw,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_kv,Uu))))) # label(fact_ATP_Olambda__121) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 347 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kt,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_ks,Uu))))) # label(fact_ATP_Olambda__122) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 348 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_kq,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_kp,Uu))))) # label(fact_ATP_Olambda__123) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 349 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_km,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_kl,Uu))))) # label(fact_ATP_Olambda__124) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 350 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ki,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_kh,Uu))))) # label(fact_ATP_Olambda__125) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 351 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ke,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_kd,Uu))))) # label(fact_ATP_Olambda__126) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 352 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ka,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_jz,Uu))))) # label(fact_ATP_Olambda__127) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 353 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jw,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_jv,Uu))))) # label(fact_ATP_Olambda__128) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 354 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_js,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_jr,Uu))))) # label(fact_ATP_Olambda__129) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 355 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jo,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_jn,Uu))))) # label(fact_ATP_Olambda__130) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 356 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_je,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_jd,Uu))))) # label(fact_ATP_Olambda__131) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 357 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jc,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_jb,Uu))))) # label(fact_ATP_Olambda__132) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 358 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ja,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_iz,Uu))))) # label(fact_ATP_Olambda__133) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 359 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ix,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_iw,Uu))))) # label(fact_ATP_Olambda__134) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 360 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fx,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_fw,Uu))))) # label(fact_ATP_Olambda__135) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 361 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fu,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_ft,Uu))))) # label(fact_ATP_Olambda__136) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 362 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jj,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ji,Uu))))) # label(fact_ATP_Olambda__137) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 363 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_jh,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_jg,Uu))))) # label(fact_ATP_Olambda__138) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 364 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_iu,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_it,Uu))))) # label(fact_ATP_Olambda__139) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 365 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_is,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ir,Uu))))) # label(fact_ATP_Olambda__140) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 366 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_iq,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ip,Uu))))) # label(fact_ATP_Olambda__141) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 367 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_io,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_in,Uu))))) # label(fact_ATP_Olambda__142) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 368 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_im,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_il,Uu))))) # label(fact_ATP_Olambda__143) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 369 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ik,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ij,Uu))))) # label(fact_ATP_Olambda__144) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 370 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ig,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_if,Uu))))) # label(fact_ATP_Olambda__145) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 371 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ic,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ib,Uu))))) # label(fact_ATP_Olambda__146) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 372 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ia,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hz,Uu))))) # label(fact_ATP_Olambda__147) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 373 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hy,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hx,Uu))))) # label(fact_ATP_Olambda__148) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 374 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hw,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hv,Uu))))) # label(fact_ATP_Olambda__149) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 375 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hu,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ht,Uu))))) # label(fact_ATP_Olambda__150) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 376 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hs,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hr,Uu))))) # label(fact_ATP_Olambda__151) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 377 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hq,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hp,Uu))))) # label(fact_ATP_Olambda__152) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 378 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ho,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hn,Uu))))) # label(fact_ATP_Olambda__153) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 379 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hm,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hl,Uu))))) # label(fact_ATP_Olambda__154) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 380 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hi,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hh,Uu))))) # label(fact_ATP_Olambda__155) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 381 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_he,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hd,Uu))))) # label(fact_ATP_Olambda__156) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 382 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_hc,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hb,Uu))))) # label(fact_ATP_Olambda__157) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 383 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ha,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gz,Uu))))) # label(fact_ATP_Olambda__158) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 384 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gx,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gw,Uu))))) # label(fact_ATP_Olambda__159) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 385 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gu,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gt,Uu))))) # label(fact_ATP_Olambda__160) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 386 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gr,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gq,Uu))))) # label(fact_ATP_Olambda__161) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 387 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_go,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gn,Uu))))) # label(fact_ATP_Olambda__162) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 388 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gl,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gk,Uu))))) # label(fact_ATP_Olambda__163) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 389 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ge,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gd,Uu))))) # label(fact_ATP_Olambda__164) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 390 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gb,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ga,Uu))))) # label(fact_ATP_Olambda__165) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 391 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fq,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fp,Uu))))) # label(fact_ATP_Olambda__166) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 392 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fo,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fn,Uu))))) # label(fact_ATP_Olambda__167) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 393 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fl,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fk,Uu))))) # label(fact_ATP_Olambda__168) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 394 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fj,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fi,Uu))))) # label(fact_ATP_Olambda__169) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 395 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fh,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fg,Uu))))) # label(fact_ATP_Olambda__170) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 396 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fe,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fd,Uu))))) # label(fact_ATP_Olambda__171) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 397 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fb,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fa,Uu))))) # label(fact_ATP_Olambda__172) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 398 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ey,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ex,Uu))))) # label(fact_ATP_Olambda__173) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 399 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ev,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_eu,Uu))))) # label(fact_ATP_Olambda__174) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 400 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_es,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_er,Uu))))) # label(fact_ATP_Olambda__175) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 401 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ep,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_eo,Uu))))) # label(fact_ATP_Olambda__176) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 402 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_el,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ek,Uu))))) # label(fact_ATP_Olambda__177) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 403 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_eh,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_eg,Uu))))) # label(fact_ATP_Olambda__178) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 404 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ed,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ec,Uu))))) # label(fact_ATP_Olambda__179) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 405 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dz,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dy,Uu))))) # label(fact_ATP_Olambda__180) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 406 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dw,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dv,Uu))))) # label(fact_ATP_Olambda__181) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 407 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dt,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ds,Uu))))) # label(fact_ATP_Olambda__182) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 408 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dq,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dp,Uu))))) # label(fact_ATP_Olambda__183) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 409 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dn,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dm,Uu))))) # label(fact_ATP_Olambda__184) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 410 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dk,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dj,Uu))))) # label(fact_ATP_Olambda__185) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 411 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dh,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dg,Uu))))) # label(fact_ATP_Olambda__186) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 412 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dd,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dc,Uu))))) # label(fact_ATP_Olambda__187) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 413 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cz,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cy,Uu))))) # label(fact_ATP_Olambda__188) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 414 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cv,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cu,Uu))))) # label(fact_ATP_Olambda__189) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 415 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cr,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cq,Uu))))) # label(fact_ATP_Olambda__190) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 416 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cn,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cm,Uu))))) # label(fact_ATP_Olambda__191) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 417 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cj,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ci,Uu))))) # label(fact_ATP_Olambda__192) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 418 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cf,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ce,Uu))))) # label(fact_ATP_Olambda__193) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 419 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cb,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ca,Uu))))) # label(fact_ATP_Olambda__194) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 420 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ac,Uu)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,Uu))))) # label(fact_ATP_Olambda__195) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 421 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gi,Uu)) <-> pp(aa_fun171081125l_bool(scratc335906485l_some(scratc1152345465d_frac),aa_TPT43085870d_bool(aTP_Lamm_gh,Uu))))) # label(fact_ATP_Olambda__196) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 422 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_gg,Uu)) <-> pp(aa_fun171081125l_bool(scratc335906485l_some(scratc1152345465d_frac),aa_TPT43085870d_bool(aTP_Lamm_gf,Uu))))) # label(fact_ATP_Olambda__197) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 423 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_og,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1613308350nd_iii,scratc797492270nd_n_1),aa_TPTP_ind_TPTP_ind(scratc307871608rdsucc,Uu))))) # label(fact_ATP_Olambda__198) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 424 (all Uu aa_TPT494704832TP_ind(aTP_Lamm_bs,Uu) = aa_TPT494704832TP_ind(scratc1823041690d_repl,aa_TPTP_ind_TPTP_ind(scratc302877017tminus(Uu),aa_TPTP_ind_TPTP_ind(scratc249601544d_Sing,scratc1174777472ptyset)))) # label(fact_ATP_Olambda__199) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 425 (all Uu (gg_TPTP_ind(Uu) -> (pp(aa_TPTP_ind_bool(aTP_Lamm_aq,Uu)) <-> Uu != scratc1174777472ptyset))) # label(fact_ATP_Olambda__200) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 426 (all Uu (gg_TPTP_ind(Uu) -> (pp(aa_TPTP_ind_bool(aTP_Lamm_bq,Uu)) <-> (exists X2 (gg_TPTP_ind(X2) & aa_TPTP_ind_TPTP_ind(scratc1074709221d_Inj1,X2) = Uu))))) # label(fact_ATP_Olambda__201) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 427 (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(scratc1074709220d_Inj0,X2) = Uu))))) # label(fact_ATP_Olambda__202) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 428 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ub,Uu),Uua)) <-> scratc837455367_orec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc451552192_29_ii,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1613308350nd_iii,Uu),Uua)))) # label(fact_ATP_Olambda__203) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 429 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_it,Uu),Uua)) <-> scratc837455367_orec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997165711d_n_eq,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc619063302_moref,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc272741506_lessf,Uu),Uua)))) # label(fact_ATP_Olambda__204) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 430 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tz,Uu),Uua)) <-> pp(scratc1663467717nd_or3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc451552192_29_ii,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1613308350nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__205) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 431 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ir,Uu),Uua)) <-> pp(scratc1663467717nd_or3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997165711d_n_eq,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc619063302_moref,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc272741506_lessf,Uu),Uua))))) # label(fact_ATP_Olambda__206) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 432 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tx,Uu),Uua)) <-> pp(scratc1579868682nd_ec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc451552192_29_ii,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1613308350nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__207) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 433 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ip,Uu),Uua)) <-> pp(scratc1579868682nd_ec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997165711d_n_eq,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc619063302_moref,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc272741506_lessf,Uu),Uua))))) # label(fact_ATP_Olambda__208) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 434 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_uj,Uu),Uua)) <-> scratc837455367_orec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,Uu),Uua),aa_fun171081125l_bool(scratc1079731127n_some,aa_TPT43085870d_bool(aTP_Lamm_uh(Uu),Uua)),aa_fun171081125l_bool(scratc1079731127n_some,aa_TPT43085870d_bool(aTP_Lamm_ui(Uu),Uua))))) # label(fact_ATP_Olambda__209) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 435 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_uf,Uu),Uua)) <-> pp(scratc1663467717nd_or3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,Uu),Uua),aa_fun171081125l_bool(scratc1079731127n_some,aa_TPT43085870d_bool(scratc309190771ffprop(Uu),Uua)),aa_fun171081125l_bool(scratc1079731127n_some,aa_TPT43085870d_bool(scratc309190771ffprop(Uua),Uu)))))) # label(fact_ATP_Olambda__210) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 436 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ud,Uu),Uua)) <-> pp(scratc1579868682nd_ec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,Uu),Uua),aa_fun171081125l_bool(scratc1079731127n_some,aa_TPT43085870d_bool(scratc309190771ffprop(Uu),Uua)),aa_fun171081125l_bool(scratc1079731127n_some,aa_TPT43085870d_bool(scratc309190771ffprop(Uua),Uu)))))) # label(fact_ATP_Olambda__211) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 437 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wz,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc331284100d_e_is(Uu),Uua),Uua)))) # label(fact_ATP_Olambda__212) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 438 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jb,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997165711d_n_eq,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1997231311d_n_fr,aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1655403067nd_num,Uu)),Uua)),aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1571738434nd_den,Uu)),Uua))),Uu)))) # label(fact_ATP_Olambda__213) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 439 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nc,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uu),Uua)),Uua)),aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(aa_TPTP_ind_TPTP_ind(scratc307871608rdsucc,Uu)),Uua))))) # label(fact_ATP_Olambda__214) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 440 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nf,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uu),Uua)),Uu)),aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uu),aa_TPTP_ind_TPTP_ind(scratc307871608rdsucc,Uua)))))) # label(fact_ATP_Olambda__215) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 441 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vm,Uu),Uua)) <-> pp(scratc1080214622_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc759707514bnd_ap,Uua),scratc797492270nd_n_1)),aa_TPTP_ind_TPTP_ind(scratc307871608rdsucc,Uu)),aa_fun171081125l_bool(scratc505188446_n_all,aa_TPT43085870d_bool(aTP_Lamm_an,Uua)))))) # label(fact_ATP_Olambda__216) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 442 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ns,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc451552192_29_ii,aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uua),scratc797492270nd_n_1)),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1017961130moreis,Uua),Uu))))) # label(fact_ATP_Olambda__217) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 443 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_no,Uu),Uua)) <-> pp(scratc1080214622_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc759707514bnd_ap,Uua),scratc797492270nd_n_1)),Uu),aa_fun171081125l_bool(scratc505188446_n_all,aa_TPT43085870d_bool(aTP_Lamm_al(Uu),Uua)))))) # label(fact_ATP_Olambda__218) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 444 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vw,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,aa_TPTP_ind_TPTP_ind(scratc307871608rdsucc,Uu)),aa_TPTP_ind_TPTP_ind(scratc307871608rdsucc,Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,Uu),Uua))))) # label(fact_ATP_Olambda__219) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 445 (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(scratc1997428109d_n_is,aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(aa_TPTP_ind_TPTP_ind(scratc307871608rdsucc,Uu)),Uua)),aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uu),Uua)),Uua))))) # label(fact_ATP_Olambda__220) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 446 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nq,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc451552192_29_ii,aa_TPTP_ind_TPTP_ind(scratc307871608rdsucc,Uua)),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1017961130moreis,Uua),Uu))))) # label(fact_ATP_Olambda__221) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 447 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vg,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(aa_TPTP_ind_TPTP_ind(scratc307871608rdsucc,Uu)),Uua)),aa_TPTP_ind_TPTP_ind(scratc307871608rdsucc,aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uu),Uua)))))) # label(fact_ATP_Olambda__222) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 448 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nw,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1613308350nd_iii,Uua),aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uu),scratc797492270nd_n_1))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc883977518lessis,Uua),Uu))))) # label(fact_ATP_Olambda__223) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 449 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nl,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uu),aa_TPTP_ind_TPTP_ind(scratc307871608rdsucc,Uua))),aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uu),Uua)),Uu))))) # label(fact_ATP_Olambda__224) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 450 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_nu,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1613308350nd_iii,Uua),aa_TPTP_ind_TPTP_ind(scratc307871608rdsucc,Uu))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc883977518lessis,Uua),Uu))))) # label(fact_ATP_Olambda__225) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 451 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vj,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uu),aa_TPTP_ind_TPTP_ind(scratc307871608rdsucc,Uua))),aa_TPTP_ind_TPTP_ind(scratc307871608rdsucc,aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uu),Uua)))))) # label(fact_ATP_Olambda__226) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 452 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_an,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc759707514bnd_ap,Uu),aa_TPTP_ind_TPTP_ind(scratc307871608rdsucc,Uua))),aa_TPTP_ind_TPTP_ind(scratc307871608rdsucc,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc759707514bnd_ap,Uu),Uua)))))) # label(fact_ATP_Olambda__227) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 453 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_oa,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1613308350nd_iii,Uua),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc883977518lessis,aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uua),scratc797492270nd_n_1)),Uu))))) # label(fact_ATP_Olambda__228) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 454 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vr,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1654615885nd_nis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1654615885nd_nis,aa_TPTP_ind_TPTP_ind(scratc307871608rdsucc,Uu)),aa_TPTP_ind_TPTP_ind(scratc307871608rdsucc,Uua)))))) # label(fact_ATP_Olambda__229) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 455 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ap,Uu),Uua)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1613570753nd_imp,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428104d_n_in,Uua),Uu)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428104d_n_in,aa_TPTP_ind_TPTP_ind(scratc307871608rdsucc,Uua)),Uu))))) # label(fact_ATP_Olambda__230) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 456 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ny,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1613308350nd_iii,Uua),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc883977518lessis,aa_TPTP_ind_TPTP_ind(scratc307871608rdsucc,Uua)),Uu))))) # label(fact_ATP_Olambda__231) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 457 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_oe,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc451552192_29_ii,Uua),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1017961130moreis,Uua),aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uu),scratc797492270nd_n_1)))))) # label(fact_ATP_Olambda__232) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 458 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_oc,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc451552192_29_ii,Uua),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1017961130moreis,Uua),aa_TPTP_ind_TPTP_ind(scratc307871608rdsucc,Uu)))))) # label(fact_ATP_Olambda__233) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 459 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_na,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uua),Uu))))) # label(fact_ATP_Olambda__234) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 460 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_uv,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uua),Uu))))) # label(fact_ATP_Olambda__235) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 461 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fp,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997165711d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1997887289d_n_pf(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc1997887289d_n_pf(Uua),Uu))))) # label(fact_ATP_Olambda__236) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 462 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tv,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc451552192_29_ii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1613308350nd_iii,Uua),Uu))))) # label(fact_ATP_Olambda__237) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 463 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tr,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1017961130moreis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc883977518lessis,Uua),Uu))))) # label(fact_ATP_Olambda__238) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 464 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tp,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc883977518lessis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1017961130moreis,Uua),Uu))))) # label(fact_ATP_Olambda__239) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 465 (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(scratc883715120lesseq,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc619063313_moreq,Uua),Uu))))) # label(fact_ATP_Olambda__240) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 466 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hd,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc619063313_moreq,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc883715120lesseq,Uua),Uu))))) # label(fact_ATP_Olambda__241) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 467 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_in,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc619063302_moref,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc272741506_lessf,Uua),Uu))))) # label(fact_ATP_Olambda__242) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 468 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_il,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc272741506_lessf,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc619063302_moref,Uua),Uu))))) # label(fact_ATP_Olambda__243) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 469 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ji,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997165711d_n_eq,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997165711d_n_eq,Uua),Uu))))) # label(fact_ATP_Olambda__244) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 470 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tt,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1613308350nd_iii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc451552192_29_ii,Uua),Uu))))) # label(fact_ATP_Olambda__245) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 471 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc619063302_moref,Uu),Uua)) -> pp(aa_fun171081125l_bool(scratc335906485l_some(scratc1152345465d_frac),aa_TPT43085870d_bool(aTP_Lamm_aa(Uu),Uua)))))) # label(fact_ATP_Olambda__246) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 472 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gd,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc272741506_lessf,Uu),Uua)) -> pp(aa_fun171081125l_bool(scratc335906485l_some(scratc1152345465d_frac),aa_TPT43085870d_bool(aTP_Lamm_gc(Uu),Uua)))))) # label(fact_ATP_Olambda__247) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 473 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tf,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc451552192_29_ii,Uu),Uua)) -> pp(scratc1187679802_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc883977518lessis,Uu),Uua)))))) # label(fact_ATP_Olambda__248) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 474 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tn,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1017961130moreis,Uu),Uua)) -> pp(scratc1187679802_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1613308350nd_iii,Uu),Uua)))))) # label(fact_ATP_Olambda__249) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 475 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tl,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc883977518lessis,Uu),Uua)) -> pp(scratc1187679802_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc451552192_29_ii,Uu),Uua)))))) # label(fact_ATP_Olambda__250) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 476 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hz,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc883715120lesseq,Uu),Uua)) -> pp(scratc1187679802_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc619063302_moref,Uu),Uua)))))) # label(fact_ATP_Olambda__251) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 477 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ib,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc619063313_moreq,Uu),Uua)) -> pp(scratc1187679802_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc272741506_lessf,Uu),Uua)))))) # label(fact_ATP_Olambda__252) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 478 (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(scratc619063302_moref,Uu),Uua)) -> pp(scratc1187679802_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc883715120lesseq,Uu),Uua)))))) # label(fact_ATP_Olambda__253) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 479 (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(scratc272741506_lessf,Uu),Uua)) -> pp(scratc1187679802_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc619063313_moreq,Uu),Uua)))))) # label(fact_ATP_Olambda__254) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 480 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_td,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1613308350nd_iii,Uu),Uua)) -> pp(scratc1187679802_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1017961130moreis,Uu),Uua)))))) # label(fact_ATP_Olambda__255) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 481 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sf,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc451552192_29_ii,aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uu),Uua)),Uu)))) # label(fact_ATP_Olambda__256) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 482 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fk,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc619063302_moref,aa_TPTP_ind_TPTP_ind(scratc1997887289d_n_pf(Uu),Uua)),Uu)))) # label(fact_ATP_Olambda__257) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 483 (all Uu all Uua aa_TPTP_ind_TPTP_ind(aTP_Lamm_aj(Uu),Uua) = aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc759707514bnd_ap,Uu),Uua)),Uua)) # label(fact_ATP_Olambda__258) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 484 (all Uu all Uua aa_TPTP_ind_TPTP_ind(aTP_Lamm_bp(Uu),Uua) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1823041690d_repl,aa_TPTP_ind_TPTP_ind(Uu,Uua)),aa_TPT1424761345TP_ind(scratc228362085d_pair,Uua))) # label(fact_ATP_Olambda__259) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 485 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wc,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aa_TPT43085870d_bool(aTP_Lamm_wa,Uu)),aa_TPT43085870d_bool(aTP_Lamm_wb(Uu),Uua))))) # label(fact_ATP_Olambda__260) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 486 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_va,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,aa_TPTP_ind_TPTP_ind(scratc307871608rdsucc,aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uu),Uua))),aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(aa_TPTP_ind_TPTP_ind(scratc307871608rdsucc,Uu)),Uua))))) # label(fact_ATP_Olambda__261) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 487 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vd,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,aa_TPTP_ind_TPTP_ind(scratc307871608rdsucc,aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uu),Uua))),aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uu),aa_TPTP_ind_TPTP_ind(scratc307871608rdsucc,Uua)))))) # label(fact_ATP_Olambda__262) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 488 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tj,Uu),Uua)) <-> (pp(scratc1187679802_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc451552192_29_ii,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc883977518lessis,Uu),Uua))))) # label(fact_ATP_Olambda__263) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 489 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_tb,Uu),Uua)) <-> (pp(scratc1187679802_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1017961130moreis,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1613308350nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__264) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 490 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sz,Uu),Uua)) <-> (pp(scratc1187679802_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc883977518lessis,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc451552192_29_ii,Uu),Uua))))) # label(fact_ATP_Olambda__265) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 491 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hn,Uu),Uua)) <-> (pp(scratc1187679802_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc883715120lesseq,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc619063302_moref,Uu),Uua))))) # label(fact_ATP_Olambda__266) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 492 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hp,Uu),Uua)) <-> (pp(scratc1187679802_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc619063313_moreq,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc272741506_lessf,Uu),Uua))))) # label(fact_ATP_Olambda__267) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 493 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hx,Uu),Uua)) <-> (pp(scratc1187679802_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc619063302_moref,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc883715120lesseq,Uu),Uua))))) # label(fact_ATP_Olambda__268) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 494 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hv,Uu),Uua)) <-> (pp(scratc1187679802_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc272741506_lessf,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc619063313_moreq,Uu),Uua))))) # label(fact_ATP_Olambda__269) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 495 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_th,Uu),Uua)) <-> (pp(scratc1187679802_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1613308350nd_iii,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1017961130moreis,Uu),Uua))))) # label(fact_ATP_Olambda__270) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 496 (all Uu all Uua aa_fun277296641TP_ind(aa_TPT494704832TP_ind(aTP_Lamm_bt,Uu),Uua) = aa_TPTP_ind_TPTP_ind(scratc386591475nunion(aa_TPTP_ind_TPTP_ind(scratc249601544d_Sing,scratc1174777472ptyset)),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1823041690d_repl,Uu),Uua))) # label(fact_ATP_Olambda__271) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 497 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jd,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997165711d_n_eq,Uu),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1997231311d_n_fr,aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1655403067nd_num,Uu)),Uua)),aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1571738434nd_den,Uu)),Uua)))))) # label(fact_ATP_Olambda__272) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 498 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fi,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc272741506_lessf,Uu),aa_TPTP_ind_TPTP_ind(scratc1997887289d_n_pf(Uu),Uua))))) # label(fact_ATP_Olambda__273) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 499 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ut,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1654615885nd_nis,Uua),aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uu),Uua))))) # label(fact_ATP_Olambda__274) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 500 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sd,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1613308350nd_iii,Uu),aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uu),Uua))))) # label(fact_ATP_Olambda__275) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 501 (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(scratc1997428109d_n_is,Uu),aa_TPTP_ind_TPTP_ind(scratc307871608rdsucc,Uua))))) # label(fact_ATP_Olambda__276) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 502 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wa,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,Uua),aa_TPTP_ind_TPTP_ind(scratc1931580058_power,Uu))))) # label(fact_ATP_Olambda__277) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 503 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ah,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc883977518lessis,Uua),Uu)))) # label(fact_ATP_Olambda__278) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 504 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gh,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc619063302_moref,Uua),Uu)))) # label(fact_ATP_Olambda__279) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 505 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gf,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc272741506_lessf,Uua),Uu)))) # label(fact_ATP_Olambda__280) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 506 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_vu,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428104d_n_in,Uua),Uu)))) # label(fact_ATP_Olambda__281) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 507 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bu,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1652516712nd_nIn,Uua),Uu)))) # label(fact_ATP_Olambda__282) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 508 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ar,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,Uua),Uu)))) # label(fact_ATP_Olambda__283) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 509 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_uy,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_ux(Uu),Uua))))) # label(fact_ATP_Olambda__284) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 510 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ur,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_uq(Uu),Uua))))) # label(fact_ATP_Olambda__285) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 511 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_uo,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_un(Uu),Uua))))) # label(fact_ATP_Olambda__286) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 512 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sx,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_sw(Uu),Uua))))) # label(fact_ATP_Olambda__287) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 513 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_su,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_st(Uu),Uua))))) # label(fact_ATP_Olambda__288) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 514 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sr,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_sq(Uu),Uua))))) # label(fact_ATP_Olambda__289) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 515 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_so,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_sn(Uu),Uua))))) # label(fact_ATP_Olambda__290) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 516 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sl,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_sk(Uu),Uua))))) # label(fact_ATP_Olambda__291) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 517 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_si,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_sh(Uu),Uua))))) # label(fact_ATP_Olambda__292) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 518 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rz,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_ry(Uu),Uua))))) # label(fact_ATP_Olambda__293) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 519 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rw,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_rv(Uu),Uua))))) # label(fact_ATP_Olambda__294) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 520 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rt,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_rs(Uu),Uua))))) # label(fact_ATP_Olambda__295) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 521 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rq,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_rp(Uu),Uua))))) # label(fact_ATP_Olambda__296) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 522 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rn,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_rm(Uu),Uua))))) # label(fact_ATP_Olambda__297) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 523 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rk,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_rj(Uu),Uua))))) # label(fact_ATP_Olambda__298) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 524 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rh,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_rg(Uu),Uua))))) # label(fact_ATP_Olambda__299) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 525 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rd,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_rc(Uu),Uua))))) # label(fact_ATP_Olambda__300) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 526 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qz,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_qy(Uu),Uua))))) # label(fact_ATP_Olambda__301) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 527 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qv,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_qu(Uu),Uua))))) # label(fact_ATP_Olambda__302) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 528 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qr,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_qq(Uu),Uua))))) # label(fact_ATP_Olambda__303) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 529 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qo,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_qn(Uu),Uua))))) # label(fact_ATP_Olambda__304) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 530 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ql,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_qk(Uu),Uua))))) # label(fact_ATP_Olambda__305) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 531 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qi,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_qh(Uu),Uua))))) # label(fact_ATP_Olambda__306) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 532 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qf,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_qe(Uu),Uua))))) # label(fact_ATP_Olambda__307) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 533 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qc,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_qb(Uu),Uua))))) # label(fact_ATP_Olambda__308) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 534 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pz,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_py(Uu),Uua))))) # label(fact_ATP_Olambda__309) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 535 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pw,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_pv(Uu),Uua))))) # label(fact_ATP_Olambda__310) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 536 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pt,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_ps(Uu),Uua))))) # label(fact_ATP_Olambda__311) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 537 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pq,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_pp(Uu),Uua))))) # label(fact_ATP_Olambda__312) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 538 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pn,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_pm(Uu),Uua))))) # label(fact_ATP_Olambda__313) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 539 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pj,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_pi(Uu),Uua))))) # label(fact_ATP_Olambda__314) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 540 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pf,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_pe(Uu),Uua))))) # label(fact_ATP_Olambda__315) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 541 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pb,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_pa(Uu),Uua))))) # label(fact_ATP_Olambda__316) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 542 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ox,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_ow(Uu),Uua))))) # label(fact_ATP_Olambda__317) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 543 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ot,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_os(Uu),Uua))))) # label(fact_ATP_Olambda__318) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 544 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_op,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_oo(Uu),Uua))))) # label(fact_ATP_Olambda__319) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 545 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ol,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_ok(Uu),Uua))))) # label(fact_ATP_Olambda__320) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 546 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_my,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_mx(Uu),Uua))))) # label(fact_ATP_Olambda__321) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 547 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mv,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_mu(Uu),Uua))))) # label(fact_ATP_Olambda__322) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 548 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ms,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_mr(Uu),Uua))))) # label(fact_ATP_Olambda__323) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 549 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mp,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_mo(Uu),Uua))))) # label(fact_ATP_Olambda__324) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 550 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mm,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_ml(Uu),Uua))))) # label(fact_ATP_Olambda__325) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 551 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mj,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_mi(Uu),Uua))))) # label(fact_ATP_Olambda__326) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 552 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mg,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_mf(Uu),Uua))))) # label(fact_ATP_Olambda__327) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 553 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_md,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_mc(Uu),Uua))))) # label(fact_ATP_Olambda__328) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 554 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ma,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_lz(Uu),Uua))))) # label(fact_ATP_Olambda__329) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 555 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lw,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_lv(Uu),Uua))))) # label(fact_ATP_Olambda__330) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 556 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ls,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_lr(Uu),Uua))))) # label(fact_ATP_Olambda__331) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 557 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lo,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_ln(Uu),Uua))))) # label(fact_ATP_Olambda__332) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 558 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lk,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_lj(Uu),Uua))))) # label(fact_ATP_Olambda__333) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 559 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lh,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_lg(Uu),Uua))))) # label(fact_ATP_Olambda__334) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 560 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_le,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_ld(Uu),Uua))))) # label(fact_ATP_Olambda__335) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 561 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lb,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_la(Uu),Uua))))) # label(fact_ATP_Olambda__336) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 562 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ky,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_kx(Uu),Uua))))) # label(fact_ATP_Olambda__337) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 563 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kv,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_ku(Uu),Uua))))) # label(fact_ATP_Olambda__338) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 564 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ks,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_kr(Uu),Uua))))) # label(fact_ATP_Olambda__339) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 565 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kp,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_ko(Uu),Uua))))) # label(fact_ATP_Olambda__340) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 566 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kl,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_kk(Uu),Uua))))) # label(fact_ATP_Olambda__341) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 567 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kh,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_kg(Uu),Uua))))) # label(fact_ATP_Olambda__342) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 568 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kd,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_kc(Uu),Uua))))) # label(fact_ATP_Olambda__343) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 569 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jz,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_jy(Uu),Uua))))) # label(fact_ATP_Olambda__344) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 570 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jv,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_ju(Uu),Uua))))) # label(fact_ATP_Olambda__345) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 571 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jr,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_jq(Uu),Uua))))) # label(fact_ATP_Olambda__346) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 572 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jn,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_jm(Uu),Uua))))) # label(fact_ATP_Olambda__347) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.64 573 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_iz,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_iy(Uu),Uua))))) # label(fact_ATP_Olambda__348) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.65 574 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_iw,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_iv(Uu),Uua))))) # label(fact_ATP_Olambda__349) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.65 575 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fw,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_fv(Uu),Uua))))) # label(fact_ATP_Olambda__350) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.65 576 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ft,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aTP_Lamm_fs(Uu),Uua))))) # label(fact_ATP_Olambda__351) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.65 577 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jg,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_jf(Uu),Uua))))) # label(fact_ATP_Olambda__352) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.65 578 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ij,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ii(Uu),Uua))))) # label(fact_ATP_Olambda__353) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.65 579 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_if,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ie(Uu),Uua))))) # label(fact_ATP_Olambda__354) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.65 580 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hl,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hk(Uu),Uua))))) # label(fact_ATP_Olambda__355) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.65 581 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hh,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hg(Uu),Uua))))) # label(fact_ATP_Olambda__356) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.65 582 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gz,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gy(Uu),Uua))))) # label(fact_ATP_Olambda__357) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.65 583 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gw,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gv(Uu),Uua))))) # label(fact_ATP_Olambda__358) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.65 584 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gt,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gs(Uu),Uua))))) # label(fact_ATP_Olambda__359) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.65 585 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gq,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gp(Uu),Uua))))) # label(fact_ATP_Olambda__360) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.65 586 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gn,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gm(Uu),Uua))))) # label(fact_ATP_Olambda__361) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.65 587 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gk,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gj(Uu),Uua))))) # label(fact_ATP_Olambda__362) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.65 588 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ga,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fz(Uu),Uua))))) # label(fact_ATP_Olambda__363) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.65 589 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fn,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fm(Uu),Uua))))) # label(fact_ATP_Olambda__364) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.65 590 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fg,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ff(Uu),Uua))))) # label(fact_ATP_Olambda__365) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.65 591 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fd,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fc(Uu),Uua))))) # label(fact_ATP_Olambda__366) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.65 592 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fa,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ez(Uu),Uua))))) # label(fact_ATP_Olambda__367) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.65 593 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ex,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ew(Uu),Uua))))) # label(fact_ATP_Olambda__368) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.65 594 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_eu,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_et(Uu),Uua))))) # label(fact_ATP_Olambda__369) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.65 595 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_er,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_eq(Uu),Uua))))) # label(fact_ATP_Olambda__370) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.65 596 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_eo,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_en(Uu),Uua))))) # label(fact_ATP_Olambda__371) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.65 597 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ek,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ej(Uu),Uua))))) # label(fact_ATP_Olambda__372) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.65 598 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_eg,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ef(Uu),Uua))))) # label(fact_ATP_Olambda__373) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.65 599 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ec,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_eb(Uu),Uua))))) # label(fact_ATP_Olambda__374) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.65 600 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dy,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dx(Uu),Uua))))) # label(fact_ATP_Olambda__375) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.65 601 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dv,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_du(Uu),Uua))))) # label(fact_ATP_Olambda__376) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.65 602 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ds,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dr(Uu),Uua))))) # label(fact_ATP_Olambda__377) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.65 603 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dp,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_do(Uu),Uua))))) # label(fact_ATP_Olambda__378) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.65 604 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dm,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dl(Uu),Uua))))) # label(fact_ATP_Olambda__379) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.65 605 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dj,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_di(Uu),Uua))))) # label(fact_ATP_Olambda__380) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.65 606 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dg,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_df(Uu),Uua))))) # label(fact_ATP_Olambda__381) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.65 607 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dc,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_db(Uu),Uua))))) # label(fact_ATP_Olambda__382) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.65 608 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cy,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cx(Uu),Uua))))) # label(fact_ATP_Olambda__383) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.65 609 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cu,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ct(Uu),Uua))))) # label(fact_ATP_Olambda__384) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.65 610 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cq,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cp(Uu),Uua))))) # label(fact_ATP_Olambda__385) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.65 611 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cm,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cl(Uu),Uua))))) # label(fact_ATP_Olambda__386) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.65 612 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ci,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ch(Uu),Uua))))) # label(fact_ATP_Olambda__387) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.65 613 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ce,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cd(Uu),Uua))))) # label(fact_ATP_Olambda__388) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.65 614 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ca,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bz(Uu),Uua))))) # label(fact_ATP_Olambda__389) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.65 615 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ul,Uu),Uua)) <-> pp(scratc391308847_amone(scratc1654091094nd_nat,aa_TPT43085870d_bool(aTP_Lamm_uh(Uu),Uua))))) # label(fact_ATP_Olambda__390) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.65 616 (all Uu all Uua aa_TPTP_ind_TPTP_ind(aTP_Lamm_am(Uu),Uua) = aa_TPTP_ind_TPTP_ind(scratc307871608rdsucc,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc759707514bnd_ap,Uu),Uua))) # label(fact_ATP_Olambda__391) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.65 617 (all Uu all Uua aa_TPTP_ind_TPTP_ind(aTP_Lamm_bm(Uu),Uua) = aa_TPTP_ind_TPTP_ind(scratc291358276_union,aa_TPTP_ind_TPTP_ind(Uu,Uua))) # label(fact_ATP_Olambda__392) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.65 618 (all Uu all Uua (gg_TPTP_ind(Uua) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bo,Uu),Uua)) <-> (exists X3 (gg_TPTP_ind(X3) & Uua = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc228362085d_pair,Uu),X3)))))) # label(fact_ATP_Olambda__393) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.65 619 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wk(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc331284100d_e_is(aa_TPTP_ind_TPTP_ind(scratc2089278350etprod(Uu),Uua)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1345373811d_pair(Uu,Uua),aa_TPTP_ind_TPTP_ind(scratc844410373_first(Uu,Uua),Uub)),aa_TPTP_ind_TPTP_ind(scratc1703333151second(Uu,Uua),Uub))),Uub)))) # label(fact_ATP_Olambda__394) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.65 620 (all Uu all Uua all Uub aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(aTP_Lamm_bw(Uu),Uua),Uub) = aa_TPTP_ind_TPTP_ind(scratc760232296bnd_if(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,scratc1174777472ptyset),Uub),Uu),Uua)) # label(fact_ATP_Olambda__395) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.65 621 (all Uu all Uua all Uub aa_TPTP_ind_TPTP_ind(aa_fun1235454963TP_ind(aTP_Lamm_bv(Uu),Uua),Uub) = aa_TPTP_ind_TPTP_ind(scratc760232296bnd_if(aa_TPTP_ind_bool(Uua,Uub),Uub),scratc1580721533nd_eps(aa_fun1584354236d_bool(aTP_Lamm_bj(Uu),Uua)))) # label(fact_ATP_Olambda__396) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.65 622 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bc(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc381266158d_esti(Uu),Uub),Uua)))) # label(fact_ATP_Olambda__397) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.65 623 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_wd(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc381266158d_esti(Uu),Uub),aa_fun1431113780TP_ind(scratc963963173_d_Sep(Uu),Uua))) -> pp(aa_TPTP_ind_bool(Uua,Uub))))) # label(fact_ATP_Olambda__398) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.65 624 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wb(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1313708601d_incl(Uu),Uua),Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1313708601d_incl(Uu),Uub),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc331284100d_e_is(aa_TPTP_ind_TPTP_ind(scratc1931580058_power,Uu)),Uua),Uub)))))) # label(fact_ATP_Olambda__399) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.65 625 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wl(Uu),Uua),Uub)) <-> scratc2092759020_is_of(aa_TPTP_ind_TPTP_ind(scratc1703333151second(Uu,Uua),Uub),aa_TPT43085870d_bool(aTP_Lamm_ar,Uua)))) # label(fact_ATP_Olambda__400) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.65 626 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wm(Uu),Uua),Uub)) <-> scratc2092759020_is_of(aa_TPTP_ind_TPTP_ind(scratc844410373_first(Uu,Uua),Uub),aa_TPT43085870d_bool(aTP_Lamm_ar,Uu)))) # label(fact_ATP_Olambda__401) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.65 627 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_ws(Uu),Uua),Uub)) <-> scratc2092759020_is_of(aa_TPTP_ind_TPTP_ind(scratc331284095d_e_in(Uu,Uua),Uub),aa_TPT43085870d_bool(aTP_Lamm_ar,Uu)))) # label(fact_ATP_Olambda__402) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.65 628 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ww(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aa_TPT43085870d_bool(aTP_Lamm_wt(Uu),Uua)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_wv(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__403) # label(axiom) # label(non_clause). [assumption].
% 1.22/1.65 629 (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(scratc1997165711d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1997887289d_n_pf(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1997231311d_n_fr,Uu),Uub)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1997231311d_n_fr,Uua),Uub))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1997231311d_n_fr,aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uu),Uua)),Uub))))) # label(fact_ATP_Olambda__404) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 630 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_iv(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997165711d_n_eq,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1997231311d_n_fr,aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uua),Uub))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1997231311d_n_fr,Uu),Uua))))) # label(fact_ATP_Olambda__405) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 631 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kx(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc451552192_29_ii,aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc451552192_29_ii,Uu),Uua))))) # label(fact_ATP_Olambda__406) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 632 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qe(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc451552192_29_ii,aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc451552192_29_ii,Uu),Uua))))) # label(fact_ATP_Olambda__407) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 633 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pv(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc451552192_29_ii,aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uub),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc451552192_29_ii,Uu),Uua))))) # label(fact_ATP_Olambda__408) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 634 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dx(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc619063302_moref,aa_TPTP_ind_TPTP_ind(scratc1997887289d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1997887289d_n_pf(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc619063302_moref,Uu),Uua))))) # label(fact_ATP_Olambda__409) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 635 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_do(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc619063302_moref,aa_TPTP_ind_TPTP_ind(scratc1997887289d_n_pf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1997887289d_n_pf(Uub),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc619063302_moref,Uu),Uua))))) # label(fact_ATP_Olambda__410) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 636 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dr(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc272741506_lessf,aa_TPTP_ind_TPTP_ind(scratc1997887289d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1997887289d_n_pf(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc272741506_lessf,Uu),Uua))))) # label(fact_ATP_Olambda__411) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 637 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_di(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc272741506_lessf,aa_TPTP_ind_TPTP_ind(scratc1997887289d_n_pf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1997887289d_n_pf(Uub),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc272741506_lessf,Uu),Uua))))) # label(fact_ATP_Olambda__412) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 638 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ku(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,Uu),Uua))))) # label(fact_ATP_Olambda__413) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 639 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_un(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uu),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,Uua),Uub))))) # label(fact_ATP_Olambda__414) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 640 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qb(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,Uu),Uua))))) # label(fact_ATP_Olambda__415) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 641 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ps(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uub),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,Uu),Uua))))) # label(fact_ATP_Olambda__416) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 642 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_du(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997165711d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1997887289d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1997887289d_n_pf(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997165711d_n_eq,Uu),Uua))))) # label(fact_ATP_Olambda__417) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 643 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dl(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997165711d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1997887289d_n_pf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1997887289d_n_pf(Uub),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997165711d_n_eq,Uu),Uua))))) # label(fact_ATP_Olambda__418) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 644 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kr(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1613308350nd_iii,aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1613308350nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__419) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 645 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_py(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1613308350nd_iii,aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uua),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1613308350nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__420) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 646 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pp(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1613308350nd_iii,aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uub),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1613308350nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__421) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 647 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fs(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997165711d_n_eq,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1997231311d_n_fr,aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uu),Uua)),Uub)),aa_TPTP_ind_TPTP_ind(scratc1997887289d_n_pf(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1997231311d_n_fr,Uu),Uub)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1997231311d_n_fr,Uua),Uub)))))) # label(fact_ATP_Olambda__422) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 648 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mu(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uu),Uua)),Uub)),aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uu),aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__423) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 649 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ux(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uu),Uua)),Uub)),aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uu),aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__424) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 650 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fm(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997165711d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1997887289d_n_pf(aa_TPTP_ind_TPTP_ind(scratc1997887289d_n_pf(Uu),Uua)),Uub)),aa_TPTP_ind_TPTP_ind(scratc1997887289d_n_pf(Uu),aa_TPTP_ind_TPTP_ind(scratc1997887289d_n_pf(Uua),Uub)))))) # label(fact_ATP_Olambda__425) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 651 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mx(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uu),aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uua),Uub))),aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uu),Uub)))))) # label(fact_ATP_Olambda__426) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 652 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_al(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc759707514bnd_ap,Uua),aa_TPTP_ind_TPTP_ind(scratc307871608rdsucc,Uub))),aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc759707514bnd_ap,Uua),Uub)),Uu))))) # label(fact_ATP_Olambda__427) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 653 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_iy(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997165711d_n_eq,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1997231311d_n_fr,Uu),Uua)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1997231311d_n_fr,aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__428) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 654 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mr(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc451552192_29_ii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc451552192_29_ii,aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__429) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 655 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mi(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc451552192_29_ii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc451552192_29_ii,aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uub),Uua)))))) # label(fact_ATP_Olambda__430) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 656 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ry(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc451552192_29_ii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc451552192_29_ii,aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__431) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 657 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rp(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc451552192_29_ii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc451552192_29_ii,aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uub),Uua)))))) # label(fact_ATP_Olambda__432) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 658 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sk(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc451552192_29_ii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1017961130moreis,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc451552192_29_ii,Uu),Uub)))))) # label(fact_ATP_Olambda__433) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 659 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lj(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1017961130moreis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1017961130moreis,aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__434) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 660 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lg(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1017961130moreis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1017961130moreis,aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uub),Uua)))))) # label(fact_ATP_Olambda__435) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 661 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qq(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1017961130moreis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1017961130moreis,aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__436) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 662 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qn(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1017961130moreis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1017961130moreis,aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uub),Uua)))))) # label(fact_ATP_Olambda__437) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 663 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sn(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1017961130moreis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc451552192_29_ii,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc451552192_29_ii,Uu),Uub)))))) # label(fact_ATP_Olambda__438) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 664 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ld(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc883977518lessis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc883977518lessis,aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__439) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 665 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_la(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc883977518lessis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc883977518lessis,aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uub),Uua)))))) # label(fact_ATP_Olambda__440) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 666 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qk(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc883977518lessis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc883977518lessis,aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__441) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 667 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qh(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc883977518lessis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc883977518lessis,aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uub),Uua)))))) # label(fact_ATP_Olambda__442) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 668 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sh(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc883977518lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc883977518lessis,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc883977518lessis,Uu),Uub)))))) # label(fact_ATP_Olambda__443) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 669 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_st(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc883977518lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1613308350nd_iii,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1613308350nd_iii,Uu),Uub)))))) # label(fact_ATP_Olambda__444) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 670 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gj(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc883715120lesseq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc883715120lesseq,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc883715120lesseq,Uu),Uub)))))) # label(fact_ATP_Olambda__445) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 671 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gv(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc883715120lesseq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc272741506_lessf,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc272741506_lessf,Uu),Uub)))))) # label(fact_ATP_Olambda__446) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 672 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gp(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc619063313_moreq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc619063302_moref,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc619063302_moref,Uu),Uub)))))) # label(fact_ATP_Olambda__447) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 673 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ff(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc619063302_moref,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc619063302_moref,aa_TPTP_ind_TPTP_ind(scratc1997887289d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1997887289d_n_pf(Uua),Uub)))))) # label(fact_ATP_Olambda__448) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 674 (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(scratc619063302_moref,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc619063302_moref,aa_TPTP_ind_TPTP_ind(scratc1997887289d_n_pf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1997887289d_n_pf(Uub),Uua)))))) # label(fact_ATP_Olambda__449) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 675 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gm(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc619063302_moref,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc619063313_moreq,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc619063302_moref,Uu),Uub)))))) # label(fact_ATP_Olambda__450) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 676 (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(scratc272741506_lessf,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc272741506_lessf,aa_TPTP_ind_TPTP_ind(scratc1997887289d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1997887289d_n_pf(Uua),Uub)))))) # label(fact_ATP_Olambda__451) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 677 (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(scratc272741506_lessf,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc272741506_lessf,aa_TPTP_ind_TPTP_ind(scratc1997887289d_n_pf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1997887289d_n_pf(Uub),Uua)))))) # label(fact_ATP_Olambda__452) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 678 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gs(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc272741506_lessf,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc883715120lesseq,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc272741506_lessf,Uu),Uub)))))) # label(fact_ATP_Olambda__453) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 679 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gy(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc272741506_lessf,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc272741506_lessf,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc272741506_lessf,Uu),Uub)))))) # label(fact_ATP_Olambda__454) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 680 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mo(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__455) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 681 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mf(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uub),Uua)))))) # label(fact_ATP_Olambda__456) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 682 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rv(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__457) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 683 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rm(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uub),Uua)))))) # label(fact_ATP_Olambda__458) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 684 (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(scratc1997165711d_n_eq,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997165711d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1997887289d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1997887289d_n_pf(Uua),Uub)))))) # label(fact_ATP_Olambda__459) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 685 (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(scratc1997165711d_n_eq,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997165711d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1997887289d_n_pf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1997887289d_n_pf(Uub),Uua)))))) # label(fact_ATP_Olambda__460) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 686 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jf(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997165711d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997165711d_n_eq,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997165711d_n_eq,Uu),Uub)))))) # label(fact_ATP_Olambda__461) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 687 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_uq(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1654615885nd_nis,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1654615885nd_nis,aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uu),Uub)))))) # label(fact_ATP_Olambda__462) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 688 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ml(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1613308350nd_iii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1613308350nd_iii,aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uua),Uub)))))) # label(fact_ATP_Olambda__463) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 689 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_mc(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1613308350nd_iii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1613308350nd_iii,aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uub),Uua)))))) # label(fact_ATP_Olambda__464) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 690 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rs(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1613308350nd_iii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1613308350nd_iii,aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__465) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 691 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rj(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1613308350nd_iii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1613308350nd_iii,aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uub),Uua)))))) # label(fact_ATP_Olambda__466) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 692 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sq(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1613308350nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc883977518lessis,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1613308350nd_iii,Uu),Uub)))))) # label(fact_ATP_Olambda__467) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 693 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_sw(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1613308350nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1613308350nd_iii,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1613308350nd_iii,Uu),Uub)))))) # label(fact_ATP_Olambda__468) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 694 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gc(Uu),Uua),Uub)) <-> pp(scratc1080214622_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc272741506_lessf,Uu),Uub),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc272741506_lessf,Uub),Uua))))) # label(fact_ATP_Olambda__469) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 695 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_bj(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,Uub),Uu)) & pp(aa_TPTP_ind_bool(Uua,Uub)))) # label(fact_ATP_Olambda__470) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 696 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997165711d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1997887289d_n_pf(Uua),Uub)),Uu)))) # label(fact_ATP_Olambda__471) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 697 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_wp(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(Uua,Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc801768304_image(aa_fun1431113780TP_ind(scratc963963173_d_Sep(Uu),Uua),Uu),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1138915660_Sigma,aa_fun1431113780TP_ind(scratc963963173_d_Sep(Uu),Uua)),scratc331284095d_e_in(Uu,Uua))),Uub))))) # label(fact_ATP_Olambda__472) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 698 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_we(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(Uua,Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc381266158d_esti(Uu),Uub),aa_fun1431113780TP_ind(scratc963963173_d_Sep(Uu),Uua)))))) # label(fact_ATP_Olambda__473) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 699 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_wy(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aa_TPT43085870d_bool(aTP_Lamm_ar,Uu)),aa_TPT43085870d_bool(aa_fun1212484691d_bool(aTP_Lamm_wx(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__474) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 700 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_bl(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aa_TPT43085870d_bool(aTP_Lamm_ar,Uu)),aa_TPT43085870d_bool(aa_fun1212484691d_bool(aTP_Lamm_bk(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__475) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 701 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wo(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aa_TPT43085870d_bool(aTP_Lamm_ar,Uua)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_wn(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__476) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 702 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wi(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aa_TPT43085870d_bool(aTP_Lamm_ar,Uua)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_wh(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__477) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 703 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wg(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aa_TPT43085870d_bool(aTP_Lamm_ar,Uua)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_wf(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__478) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 704 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wt(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,Uub),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1337563474d_d_Pi,Uu),aTP_Lamm_ag(Uua)))))) # label(fact_ATP_Olambda__479) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 705 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_uh(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,Uu),aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uua),Uub))))) # label(fact_ATP_Olambda__480) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 706 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ui(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,Uua),aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uu),Uub))))) # label(fact_ATP_Olambda__481) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 707 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_wj(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,Uub),aa_TPTP_ind_TPTP_ind(scratc2089278350etprod(Uu),Uua))))) # label(fact_ATP_Olambda__482) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 708 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_wq(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,Uub),aa_fun1431113780TP_ind(scratc963963173_d_Sep(Uu),Uua))))) # label(fact_ATP_Olambda__483) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 709 (all Uu all Uua all Uub aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(aTP_Lamm_be(Uu),Uua),Uub) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc759707514bnd_ap,Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc759707514bnd_ap,Uu),Uub))) # label(fact_ATP_Olambda__484) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 710 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rg(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_rf(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__485) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 711 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_rc(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_rb(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__486) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 712 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qy(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_qx(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__487) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 713 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_qu(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_qt(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__488) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 714 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pm(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_pl(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__489) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 715 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pi(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ph(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__490) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 716 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pe(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_pd(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__491) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 717 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_pa(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_oz(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__492) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 718 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ow(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ov(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__493) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 719 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_os(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_or(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__494) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 720 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_oo(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_on(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__495) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 721 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ok(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_oj(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__496) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 722 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lz(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ly(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__497) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 723 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lv(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_lu(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__498) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 724 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_lr(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_lq(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__499) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 725 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ln(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_lm(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__500) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 726 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ko(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_kn(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__501) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 727 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kk(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_kj(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__502) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 728 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kg(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_kf(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__503) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 729 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_kc(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_kb(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__504) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 730 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jy(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_jx(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__505) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 731 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ju(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_jt(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__506) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 732 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jq(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_jp(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__507) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 733 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_jm(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_fr),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_jl(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__508) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 734 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ii(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ih(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__509) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 735 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ie(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_id(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__510) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 736 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hk(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hj(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__511) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 737 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hg(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hf(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__512) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 738 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fz(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fy(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__513) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 739 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_en(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_em(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__514) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 740 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ej(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ei(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__515) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 741 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ef(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ee(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__516) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 742 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_eb(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ea(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__517) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 743 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_df(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_de(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__518) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 744 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_db(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_da(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__519) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 745 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cx(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cw(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__520) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 746 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ct(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cs(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__521) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 747 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cp(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_co(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__522) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 748 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cl(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ck(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__523) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 749 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ch(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cg(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__524) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 750 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cd(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cc(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__525) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 751 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bz(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_by(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__526) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 752 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_wr(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(Uua,aa_TPTP_ind_TPTP_ind(scratc331284095d_e_in(Uu,Uua),Uub))))) # label(fact_ATP_Olambda__527) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 753 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1913827119d_bool(aTP_Lamm_bn(Uu),Uua),Uub)) <-> (all X3 (gg_TPTP_ind(X3) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,X3),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc760232304bnd_in,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc759707514bnd_ap,Uub),X3)),aa_TPTP_ind_TPTP_ind(Uua,X3)))))))) # label(fact_ATP_Olambda__528) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 754 (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(scratc1614029935nd_ite(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc331284100d_e_is(aa_TPTP_ind_TPTP_ind(scratc684055987_d_1to,scratc797492271nd_n_2)),Uuc),scratc1993754566d_n_1t),Uu,Uua),Uub)) # label(fact_ATP_Olambda__529) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 755 (all Uu all Uua all Uub all Uuc aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aTP_Lamm_bf(Uu),Uua),Uub),Uuc) = aa_TPTP_ind_TPTP_ind(scratc760232296bnd_if(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc801768304_image(Uu,Uua),Uub),Uuc),aa_TPTP_ind_TPTP_ind(scratc538104309d_soft(Uu,Uua,Uub),Uuc)),scratc1174777472ptyset)) # label(fact_ATP_Olambda__530) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 756 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_wh(Uu),Uua),Uub),Uuc)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc331284100d_e_is(Uu),aa_TPTP_ind_TPTP_ind(scratc844410373_first(Uu,Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1345373811d_pair(Uu,Uua),Uub),Uuc))),Uub)))) # label(fact_ATP_Olambda__531) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 757 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_wf(Uu),Uua),Uub),Uuc)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc331284100d_e_is(Uua),aa_TPTP_ind_TPTP_ind(scratc1703333151second(Uu,Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1345373811d_pair(Uu,Uua),Uub),Uuc))),Uuc)))) # label(fact_ATP_Olambda__532) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 758 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_wu(Uu),Uua),Uub),Uuc)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc331284100d_e_is(Uu),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc759707514bnd_ap,Uua),Uuc)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc759707514bnd_ap,Uub),Uuc))))) # label(fact_ATP_Olambda__533) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 759 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ay(Uu),Uua),Uub),Uuc)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc381266158d_esti(Uu),Uub),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc759707514bnd_ap,Uua),Uuc))))) # label(fact_ATP_Olambda__534) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 760 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bg(Uu),Uua),Uub),Uuc)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc331284100d_e_is(Uu),Uub),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc759707514bnd_ap,Uua),Uuc))))) # label(fact_ATP_Olambda__535) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 761 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_wn(Uu),Uua),Uub),Uuc)) <-> scratc2092759020_is_of(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1345373811d_pair(Uu,Uua),Uub),Uuc),aa_TPT43085870d_bool(aTP_Lamm_wj(Uu),Uua)))) # label(fact_ATP_Olambda__536) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 762 (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(scratc1865520767d_l_ec(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc381266158d_esti(Uu),Uuc),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc381266158d_esti(Uu),Uuc),Uub))))) # label(fact_ATP_Olambda__537) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 763 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bb(Uu),Uua),Uub),Uuc)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1613570753nd_imp,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc381266158d_esti(Uu),Uuc),Uua)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc381266158d_esti(Uu),Uuc),Uub))))) # label(fact_ATP_Olambda__538) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 764 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_by(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997165711d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1997887289d_n_pf(Uua),Uub)),Uu)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997165711d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1997887289d_n_pf(Uua),Uuc)),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997165711d_n_eq,Uub),Uuc)))))) # label(fact_ATP_Olambda__539) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 765 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_wv(Uu),Uua),Uub),Uuc)) <-> (pp(aa_fun171081125l_bool(scratc1225245677all_of(aa_TPT43085870d_bool(aTP_Lamm_ar,Uu)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_wu(Uua),Uub),Uuc))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc331284100d_e_is(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1337563474d_d_Pi,Uu),aTP_Lamm_ag(Uua))),Uub),Uuc))))) # label(fact_ATP_Olambda__540) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 766 (all Uu all Uua all Uub all Uuc (gg_TPTP_ind(Uua) & gg_TPTP_ind(Uub) & gg_TPTP_ind(Uuc) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bx(Uu),Uua),Uub),Uuc)) <-> pp(Uu) & Uuc = Uua | -pp(Uu) & Uuc = Uub))) # label(fact_ATP_Olambda__541) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 767 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_kn(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc451552192_29_ii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc451552192_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc451552192_29_ii,aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__542) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 768 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_pl(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc451552192_29_ii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc451552192_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc451552192_29_ii,aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__543) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 769 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_kb(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc451552192_29_ii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1017961130moreis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc451552192_29_ii,aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__544) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 770 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_oz(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc451552192_29_ii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1017961130moreis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc451552192_29_ii,aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__545) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 771 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_kf(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1017961130moreis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc451552192_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc451552192_29_ii,aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__546) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 772 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_pd(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1017961130moreis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc451552192_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc451552192_29_ii,aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__547) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 773 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_jp(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1017961130moreis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1017961130moreis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1017961130moreis,aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__548) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.65 774 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_on(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1017961130moreis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1017961130moreis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1017961130moreis,aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__549) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.66 775 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_jl(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc883977518lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc883977518lessis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc883977518lessis,aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__550) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.66 776 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_oj(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc883977518lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc883977518lessis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc883977518lessis,aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__551) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.66 777 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_jx(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc883977518lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1613308350nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1613308350nd_iii,aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__552) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.66 778 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ov(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc883977518lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1613308350nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1613308350nd_iii,aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__553) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.66 779 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cc(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc883715120lesseq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc883715120lesseq,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc883715120lesseq,aa_TPTP_ind_TPTP_ind(scratc1997887289d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1997887289d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__554) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.66 780 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_co(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc883715120lesseq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc272741506_lessf,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc272741506_lessf,aa_TPTP_ind_TPTP_ind(scratc1997887289d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1997887289d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__555) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.66 781 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hf(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc883715120lesseq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997165711d_n_eq,Uu),Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997165711d_n_eq,Uua),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc883715120lesseq,Uub),Uuc))))))) # label(fact_ATP_Olambda__556) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.66 782 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cg(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc619063313_moreq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc619063313_moreq,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc619063313_moreq,aa_TPTP_ind_TPTP_ind(scratc1997887289d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1997887289d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__557) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.66 783 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cw(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc619063313_moreq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc619063302_moref,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc619063302_moref,aa_TPTP_ind_TPTP_ind(scratc1997887289d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1997887289d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__558) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.66 784 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_hj(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc619063313_moreq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997165711d_n_eq,Uu),Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997165711d_n_eq,Uua),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc619063313_moreq,Uub),Uuc))))))) # label(fact_ATP_Olambda__559) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.66 785 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cs(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc619063302_moref,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc619063313_moreq,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc619063302_moref,aa_TPTP_ind_TPTP_ind(scratc1997887289d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1997887289d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__560) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.66 786 (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(scratc619063302_moref,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc619063302_moref,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc619063302_moref,aa_TPTP_ind_TPTP_ind(scratc1997887289d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1997887289d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__561) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.66 787 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ih(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc619063302_moref,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997165711d_n_eq,Uu),Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997165711d_n_eq,Uua),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc619063302_moref,Uub),Uuc))))))) # label(fact_ATP_Olambda__562) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.66 788 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ck(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc272741506_lessf,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc883715120lesseq,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc272741506_lessf,aa_TPTP_ind_TPTP_ind(scratc1997887289d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1997887289d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__563) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.66 789 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_da(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc272741506_lessf,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc272741506_lessf,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc272741506_lessf,aa_TPTP_ind_TPTP_ind(scratc1997887289d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1997887289d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__564) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.66 790 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_id(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc272741506_lessf,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997165711d_n_eq,Uu),Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997165711d_n_eq,Uua),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc272741506_lessf,Uub),Uuc))))))) # label(fact_ATP_Olambda__565) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.66 791 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ly(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc451552192_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc451552192_29_ii,aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__566) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.66 792 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_lu(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc451552192_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc451552192_29_ii,aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uuc),Uua))))))) # label(fact_ATP_Olambda__567) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.66 793 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_rf(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc451552192_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc451552192_29_ii,aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__568) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.66 794 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_rb(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc451552192_29_ii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc451552192_29_ii,aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uuc),Uua))))))) # label(fact_ATP_Olambda__569) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.66 795 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_lq(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1613308350nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1613308350nd_iii,aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__570) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.66 796 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_lm(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1613308350nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1613308350nd_iii,aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uuc),Uua))))))) # label(fact_ATP_Olambda__571) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.66 797 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_qx(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1613308350nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1613308350nd_iii,aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__572) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.66 798 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_qt(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997428109d_n_is,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1613308350nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1613308350nd_iii,aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uuc),Uua))))))) # label(fact_ATP_Olambda__573) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.66 799 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_em(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997165711d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc619063302_moref,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc619063302_moref,aa_TPTP_ind_TPTP_ind(scratc1997887289d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1997887289d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__574) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.66 800 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ei(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997165711d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc619063302_moref,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc619063302_moref,aa_TPTP_ind_TPTP_ind(scratc1997887289d_n_pf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1997887289d_n_pf(Uuc),Uua))))))) # label(fact_ATP_Olambda__575) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.66 801 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ee(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997165711d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc272741506_lessf,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc272741506_lessf,aa_TPTP_ind_TPTP_ind(scratc1997887289d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1997887289d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__576) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.66 802 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ea(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997165711d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc272741506_lessf,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc272741506_lessf,aa_TPTP_ind_TPTP_ind(scratc1997887289d_n_pf(Uub),Uu)),aa_TPTP_ind_TPTP_ind(scratc1997887289d_n_pf(Uuc),Uua))))))) # label(fact_ATP_Olambda__577) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.66 803 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fy(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997165711d_n_eq,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997165711d_n_eq,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1997165711d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1997887289d_n_pf(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1997887289d_n_pf(Uua),Uuc))))))) # label(fact_ATP_Olambda__578) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.66 804 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_jt(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1613308350nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc883977518lessis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1613308350nd_iii,aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__579) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.66 805 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_or(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1613308350nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc883977518lessis,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1613308350nd_iii,aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__580) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.66 806 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_kj(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1613308350nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1613308350nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1613308350nd_iii,aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1998149698d_n_ts(Uua),Uuc))))))) # label(fact_ATP_Olambda__581) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.66 807 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ph(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1613308350nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1613308350nd_iii,Uub),Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1613308350nd_iii,aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uu),Uub)),aa_TPTP_ind_TPTP_ind(scratc1997887295d_n_pl(Uua),Uuc))))))) # label(fact_ATP_Olambda__582) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.66 808 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_fun1212484691d_bool(aTP_Lamm_wx(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(Uua,Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc331284100d_e_is(Uu),Uub),Uuc)) -> pp(aa_TPTP_ind_bool(Uua,Uuc)))))) # label(fact_ATP_Olambda__583) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.66 809 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_fun1212484691d_bool(aTP_Lamm_bk(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(Uua,Uub)) -> (pp(aa_TPTP_ind_bool(Uua,Uuc)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc331284100d_e_is(Uu),Uub),Uuc)))))) # label(fact_ATP_Olambda__584) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.66 810 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bi(Uu),Uua),Uub),Uuc)) <-> pp(aa_fun171081125l_bool(scratc1547413110nd_all(Uu),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_TPT1123896796d_bool(aTP_Lamm_bh(Uu),Uua),Uub),Uuc))))) # label(fact_ATP_Olambda__585) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.66 811 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_az(Uu),Uua),Uub),Uuc)) <-> pp(aa_fun171081125l_bool(scratc335906485l_some(Uua),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ay(Uu),Uub),Uuc))))) # label(fact_ATP_Olambda__586) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.66 812 (all Uu all Uua all Uub all Uuc aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aTP_Lamm_ad(Uu),Uua),Uub),Uuc) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc759707514bnd_ap,Uub),aa_TPTP_ind_TPTP_ind(scratc898174107ght1to(Uu,Uua),Uuc))) # label(fact_ATP_Olambda__587) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.66 813 (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(scratc759707514bnd_ap,Uub),aa_TPTP_ind_TPTP_ind(scratc76314746eft1to(Uu,Uua),Uuc))) # label(fact_ATP_Olambda__588) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.66 814 (all Uu all Uua all Uub all Uuc all Uud (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_TPT1123896796d_bool(aTP_Lamm_bh(Uu),Uua),Uub),Uuc),Uud)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1613570753nd_imp,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc331284100d_e_is(Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc759707514bnd_ap,Uub),Uuc)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc759707514bnd_ap,Uub),Uud))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc331284100d_e_is(Uu),Uuc),Uud))))) # label(fact_ATP_Olambda__589) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.66 815 (all Uu all Uua all Uub all Uuc all Uud (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_TPT1123896796d_bool(aTP_Lamm_aw(Uu),Uua),Uub),Uuc),Uud)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(Uu,Uuc),Uud)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc331284100d_e_is(Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc759707514bnd_ap,Uub),Uuc)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc759707514bnd_ap,Uub),Uud)))))) # label(fact_ATP_Olambda__590) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.66 816 (all Uu all Uua all Uub all Uuc all Uud (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_fun987228051d_bool(aTP_Lamm_av(Uu),Uua),Uub),Uuc),Uud)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aa_TPT43085870d_bool(aTP_Lamm_ar,Uu)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_TPT1123896796d_bool(aa_fun845057962d_bool(aTP_Lamm_au(Uu),Uua),Uub),Uuc),Uud))))) # label(fact_ATP_Olambda__591) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.66 817 (all Uu all Uua all Uub all Uuc all Uud (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_fun987228051d_bool(aTP_Lamm_ax(Uu),Uua),Uub),Uuc),Uud)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aa_TPT43085870d_bool(aTP_Lamm_ar,Uu)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_TPT1123896796d_bool(aTP_Lamm_aw(Uua),Uub),Uuc),Uud))))) # label(fact_ATP_Olambda__592) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.66 818 (all Uu all Uua all Uub all Uuc all Uud aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aa_TPT1781712639TP_ind(aTP_Lamm_bd(Uu),Uua),Uub),Uuc),Uud) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc759707514bnd_ap,Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc759707514bnd_ap,aa_TPTP_ind_TPTP_ind(scratc944117220wissel(Uu,Uub),Uuc)),Uud))) # label(fact_ATP_Olambda__593) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.66 819 (all Uu all Uua all Uub all Uuc all Uud all Uue (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_TPT1123896796d_bool(aa_fun845057962d_bool(aTP_Lamm_au(Uu),Uua),Uub),Uuc),Uud),Uue)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aa_TPT43085870d_bool(aTP_Lamm_ar,Uu)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_TPT1123896796d_bool(aa_TPT985247859d_bool(aa_fun1107270209d_bool(aTP_Lamm_at(Uu),Uua),Uub),Uuc),Uud),Uue))))) # label(fact_ATP_Olambda__594) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.66 820 (all Uu all Uua all Uub all Uuc all Uud all Uue all Uuf (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_TPT1123896796d_bool(aa_TPT985247859d_bool(aa_TPT125613450d_bool(aTP_Lamm_as(Uu),Uua),Uub),Uuc),Uud),Uue),Uuf)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(Uu,Uuc),Uud)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(Uu,Uue),Uuf)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc331284100d_e_is(Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc759707514bnd_ap,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc759707514bnd_ap,Uub),Uuc)),Uue)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc759707514bnd_ap,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc759707514bnd_ap,Uub),Uud)),Uuf))))))) # label(fact_ATP_Olambda__595) # label(axiom) # label(non_clause). [assumption].
% 1.40/1.66 821 (all Uu all Uua all Uub all Uuc all Uud all Uue all Uuf (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_TPT1123896796d_bool(aa_TPT985247859d_bool(aa_fun1107270209d_bool(aTP_Lamm_at(Uu),Uua),Uub),Uuc),Uud),Uue),Uuf)) <-> pp(aa_fun171081125l_bool(scratc1225245677all_of(aa_TPT43085870d_bool(aTP_Lamm_ar,Uu)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_TPT1123896796d_bool(aa_TPT985247859d_bool(aa_TPT125613450d_bool(aTP_Lamm_as(Uua),Uub),Uuc),Uud),Uue),Uuf))))) # label(fact_ATP_Olambda__596) # label(axiom) # label(non_clause). [assumption].
% 1.51/1.76 822 (all Uu all Uua (gg_TPTP_ind(Uu) -> aa_TPTP_ind_TPTP_ind(aTP_Lamm_ag(Uu),Uua) = Uu)) # label(fact_ATP_Olambda__597) # label(axiom) # label(non_clause). [assumption].
% 1.51/1.76 823 (all Uu (gg_TPTP_ind(Uu) -> aa_TPTP_ind_TPTP_ind(aTP_Lamm_ak,Uu) = Uu)) # label(fact_ATP_Olambda__598) # label(axiom) # label(non_clause). [assumption].
% 1.51/1.76 824 (all Uu aa_TPTP_ind_TPTP_ind(aTP_Lamm_ai,Uu) = scratc1654091094nd_nat) # label(fact_ATP_Olambda__599) # label(axiom) # label(non_clause). [assumption].
% 1.51/1.76 825 (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].
% 1.51/1.76 826 (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].
% 1.51/1.76 827 (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].
% 1.51/1.76 828 (all P (gg_bool(P) -> P = fTrue | P = fFalse)) # label(help_fFalse_1_1_T) # label(axiom) # label(non_clause). [assumption].
% 1.51/1.76 829 (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].
% 1.51/1.76 830 (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].
% 1.51/1.76 831 (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].
% 1.51/1.76 832 (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].
% 1.51/1.76 833 (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].
% 1.51/1.76 834 (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].
% 1.51/1.76 835 (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].
% 1.51/1.76 836 (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].
% 1.51/1.76 837 (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].
% 1.51/1.76
% 1.51/1.76 ============================== end of process non-clausal formulas ===
% 1.51/1.76
% 1.51/1.76 ============================== PROCESS INITIAL CLAUSES ===============
% 1.51/1.76
% 1.51/1.76 ============================== PREDICATE ELIMINATION =================
% 1.51/1.76 838 -gg_bool(A) | A = fTrue | A = fFalse # label(help_fFalse_1_1_T) # label(axiom). [clausify(828)].
% 1.51/1.76 839 gg_bool(undefined_bool(bool)) # label(gsy_c_HOL_Oundefined_001t__HOL__Obool) # label(axiom). [assumption].
% 1.51/1.76 840 gg_bool(scratc391308847_amone(A,B)) # label(gsy_c_Scratch__tptp__translate__60780__23581_ONUM766__thf__4__p_Obnd__amone) # label(axiom). [clausify(1)].
% 1.81/2.10 841 gg_bool(scratc1080214622_d_and(A,B)) # label(gsy_c_Scratch__tptp__translate__60780__23581_ONUM766__thf__4__p_Obnd__d__and) # label(axiom). [clausify(2)].
% 1.81/2.10 842 gg_bool(scratc1187679802_d_not(A)) # label(gsy_c_Scratch__tptp__translate__60780__23581_ONUM766__thf__4__p_Obnd__d__not) # label(axiom). [clausify(3)].
% 1.81/2.10 843 gg_bool(scratc1579868682nd_ec3(A,B,C)) # label(gsy_c_Scratch__tptp__translate__60780__23581_ONUM766__thf__4__p_Obnd__ec3) # label(axiom). [clausify(4)].
% 1.81/2.10 844 gg_bool(scratc1865520767d_l_ec(A,B)) # label(gsy_c_Scratch__tptp__translate__60780__23581_ONUM766__thf__4__p_Obnd__l__ec) # label(axiom). [clausify(8)].
% 1.81/2.10 845 gg_bool(scratc1663467717nd_or3(A,B,C)) # label(gsy_c_Scratch__tptp__translate__60780__23581_ONUM766__thf__4__p_Obnd__or3) # label(axiom). [clausify(9)].
% 1.81/2.10 846 gg_bool(aa_bool_bool(A,B)) # label(gsy_c_aa_001t__HOL__Obool_001t__HOL__Obool) # label(axiom). [clausify(10)].
% 1.81/2.10 847 gg_bool(aa_TPTP_ind_bool(A,B)) # label(gsy_c_aa_001t__TPTP____Interpret__Oind_001t__HOL__Obool) # label(axiom). [clausify(11)].
% 1.81/2.10 848 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)].
% 1.81/2.10 849 gg_bool(fEx_TPTP_ind(A)) # label(gsy_c_fEx_001t__TPTP____Interpret__Oind) # label(axiom). [clausify(16)].
% 1.81/2.10 850 gg_bool(fFalse) # label(gsy_c_fFalse) # label(axiom). [assumption].
% 1.81/2.10 851 gg_bool(fTrue) # label(gsy_c_fTrue) # label(axiom). [assumption].
% 1.81/2.10 Derived: undefined_bool(bool) = fTrue | undefined_bool(bool) = fFalse. [resolve(838,a,839,a)].
% 1.81/2.10 Derived: scratc391308847_amone(A,B) = fTrue | scratc391308847_amone(A,B) = fFalse. [resolve(838,a,840,a)].
% 1.81/2.10 Derived: scratc1080214622_d_and(A,B) = fTrue | scratc1080214622_d_and(A,B) = fFalse. [resolve(838,a,841,a)].
% 1.81/2.10 Derived: scratc1187679802_d_not(A) = fTrue | scratc1187679802_d_not(A) = fFalse. [resolve(838,a,842,a)].
% 1.81/2.10 Derived: scratc1579868682nd_ec3(A,B,C) = fTrue | scratc1579868682nd_ec3(A,B,C) = fFalse. [resolve(838,a,843,a)].
% 1.81/2.10 Derived: scratc1865520767d_l_ec(A,B) = fTrue | scratc1865520767d_l_ec(A,B) = fFalse. [resolve(838,a,844,a)].
% 1.81/2.10 Derived: scratc1663467717nd_or3(A,B,C) = fTrue | scratc1663467717nd_or3(A,B,C) = fFalse. [resolve(838,a,845,a)].
% 1.81/2.10 Derived: aa_bool_bool(A,B) = fTrue | aa_bool_bool(A,B) = fFalse. [resolve(838,a,846,a)].
% 1.81/2.10 Derived: aa_TPTP_ind_bool(A,B) = fTrue | aa_TPTP_ind_bool(A,B) = fFalse. [resolve(838,a,847,a)].
% 1.81/2.10 Derived: aa_fun171081125l_bool(A,B) = fTrue | aa_fun171081125l_bool(A,B) = fFalse. [resolve(838,a,848,a)].
% 1.81/2.10 Derived: fEx_TPTP_ind(A) = fTrue | fEx_TPTP_ind(A) = fFalse. [resolve(838,a,849,a)].
% 1.81/2.10 Derived: fFalse = fTrue | fFalse = fFalse. [resolve(838,a,850,a)].
% 1.81/2.10 Derived: fTrue = fTrue | fTrue = fFalse. [resolve(838,a,851,a)].
% 1.81/2.10 852 scratc112971909d_r_ec(A,B) | pp(A) # label(fact_def__r__ec) # label(axiom). [clausify(96)].
% 1.81/2.10 853 -scratc112971909d_r_ec(A,B) | -pp(A) | pp(scratc1187679802_d_not(B)) # label(fact_def__r__ec) # label(axiom). [clausify(96)].
% 1.81/2.10 854 scratc112971909d_r_ec(A,B) | -pp(scratc1187679802_d_not(B)) # label(fact_def__r__ec) # label(axiom). [clausify(96)].
% 1.81/2.10 855 scratc1974356072_l_iff(A,B) | -pp(scratc1080214622_d_and(aa_bool_bool(aa_boo1142376798l_bool(scratc1613570753nd_imp,A),B),aa_bool_bool(aa_boo1142376798l_bool(scratc1613570753nd_imp,B),A))) # label(fact_def__l__iff) # label(axiom). [clausify(128)].
% 1.81/2.10 856 -scratc1974356072_l_iff(A,B) | pp(scratc1080214622_d_and(aa_bool_bool(aa_boo1142376798l_bool(scratc1613570753nd_imp,A),B),aa_bool_bool(aa_boo1142376798l_bool(scratc1613570753nd_imp,B),A))) # label(fact_def__l__iff) # label(axiom). [clausify(128)].
% 1.81/2.10 857 scratc1735441708d_orec(A,B) | -pp(scratc1080214622_d_and(aa_bool_bool(scratc1866176772d_l_or(A),B),scratc1865520767d_l_ec(A,B))) # label(fact_def__orec) # label(axiom). [clausify(129)].
% 1.81/2.10 858 -scratc1735441708d_orec(A,B) | pp(scratc1080214622_d_and(aa_bool_bool(scratc1866176772d_l_or(A),B),scratc1865520767d_l_ec(A,B))) # label(fact_def__orec) # label(axiom). [clausify(129)].
% 1.81/2.10 859 scratc1728707027nd_wel(A) | -pp(scratc1187679802_d_not(scratc1187679802_d_not(A))) # label(fact_def__wel) # label(axiom). [clausify(134)].
% 3.39/3.69 860 -scratc1728707027nd_wel(A) | pp(scratc1187679802_d_not(scratc1187679802_d_not(A))) # label(fact_def__wel) # label(axiom). [clausify(134)].
% 3.39/3.69 861 -scratc1728707027nd_wel(A) | pp(A) # label(fact_l__et) # label(axiom). [clausify(186)].
% 3.39/3.69 Derived: pp(A) | -pp(scratc1187679802_d_not(scratc1187679802_d_not(A))). [resolve(861,a,859,a)].
% 3.39/3.69
% 3.39/3.69 ============================== end predicate elimination =============
% 3.39/3.69
% 3.39/3.69 Auto_denials: (non-Horn, no changes).
% 3.39/3.69
% 3.39/3.69 Term ordering decisions:
% 3.39/3.69 Function symbol KB weights: aTP_Lamm_fr=1. aTP_Lamm_a=1. scratc1997428109d_n_is=1. scratc1613308350nd_iii=1. scratc451552192_29_ii=1. scratc760232304bnd_in=1. scratc1997165711d_n_eq=1. scratc307871608rdsucc=1. scratc272741506_lessf=1. scratc619063302_moref=1. scratc883977518lessis=1. scratc759707514bnd_ap=1. scratc1017961130moreis=1. scratc797492270nd_n_1=1. aTP_Lamm_ar=1. scratc883715120lesseq=1. scratc1654091094nd_nat=1. scratc1138915660_Sigma=1. scratc1174777472ptyset=1. scratc619063313_moreq=1. scratc1337563474d_d_Pi=1. scratc1997231311d_n_fr=1. scratc1654615885nd_nis=1. scratc1571738434nd_den=1. scratc1079731127n_some=1. fFalse=1. scratc1655403067nd_num=1. scratc1931580058_power=1. scratc1979403226_nat_p=1. scratc1613570753nd_imp=1. scratc1823041690d_repl=1. fTrue=1. scratc505188446_n_all=1. scratc1152345465d_frac=1. scratc228362085d_pair=1. aTP_Lamm_ai=1. scratc347952426d_Subq=1. scratc1132313172closed=1. scratc2060093896_proj0=1. scratc291358276_union=1. scratc797492271nd_n_2=1. aTP_Lamm_ao=1. scratc1997428104d_n_in=1. scratc2060093897_proj1=1. aTP_Lamm_an=1. aTP_Lamm_wa=1. scratc1086986616closed=1. scratc684055987_d_1to=1. scratc922253602closed=1. aTP_Lamm_ab=1. aTP_Lamm_ah=1. aTP_Lamm_gd=1. aTP_Lamm_hb=1. aTP_Lamm_hd=1. aTP_Lamm_hn=1. aTP_Lamm_hp=1. aTP_Lamm_hr=1. aTP_Lamm_ht=1. aTP_Lamm_hv=1. aTP_Lamm_hx=1. aTP_Lamm_hz=1. aTP_Lamm_ib=1. aTP_Lamm_il=1. aTP_Lamm_in=1. aTP_Lamm_ji=1. aTP_Lamm_nq=1. aTP_Lamm_ns=1. aTP_Lamm_nu=1. aTP_Lamm_nw=1. aTP_Lamm_ny=1. aTP_Lamm_oa=1. aTP_Lamm_oc=1. aTP_Lamm_oe=1. aTP_Lamm_sz=1. aTP_Lamm_tb=1. aTP_Lamm_td=1. aTP_Lamm_tf=1. aTP_Lamm_th=1. aTP_Lamm_tj=1. aTP_Lamm_tl=1. aTP_Lamm_tn=1. aTP_Lamm_tp=1. aTP_Lamm_tr=1. aTP_Lamm_tt=1. aTP_Lamm_tv=1. aTP_Lamm_vr=1. aTP_Lamm_vv=1. aTP_Lamm_vw=1. scratc1074709221d_Inj1=1. scratc1229749110_omega=1. scratc1296092209closed=1. scratc1699887214_prop2=1. scratc238090228_prop2=1. aTP_Lamm_ap=1. aTP_Lamm_bo=1. aTP_Lamm_bq=1. aTP_Lamm_br=1. aTP_Lamm_ca=1. aTP_Lamm_ce=1. aTP_Lamm_ci=1. aTP_Lamm_cm=1. aTP_Lamm_cq=1. aTP_Lamm_cu=1. aTP_Lamm_cy=1. aTP_Lamm_dc=1. aTP_Lamm_dg=1. aTP_Lamm_dj=1. aTP_Lamm_dm=1. aTP_Lamm_dp=1. aTP_Lamm_ds=1. aTP_Lamm_dv=1. aTP_Lamm_dy=1. aTP_Lamm_ec=1. aTP_Lamm_eg=1. aTP_Lamm_ek=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_fg=1. aTP_Lamm_fi=1. aTP_Lamm_fk=1. aTP_Lamm_fn=1. aTP_Lamm_fp=1. aTP_Lamm_ft=1. aTP_Lamm_fw=1. aTP_Lamm_ga=1. aTP_Lamm_gf=1. aTP_Lamm_gh=1. aTP_Lamm_gk=1. aTP_Lamm_gn=1. aTP_Lamm_gq=1. aTP_Lamm_gt=1. aTP_Lamm_gw=1. aTP_Lamm_gz=1. aTP_Lamm_hh=1. aTP_Lamm_hl=1. aTP_Lamm_if=1. aTP_Lamm_ij=1. aTP_Lamm_ip=1. aTP_Lamm_ir=1. aTP_Lamm_it=1. aTP_Lamm_iw=1. aTP_Lamm_iz=1. aTP_Lamm_jb=1. aTP_Lamm_jd=1. aTP_Lamm_jg=1. aTP_Lamm_jn=1. aTP_Lamm_jr=1. aTP_Lamm_jv=1. aTP_Lamm_jz=1. aTP_Lamm_kd=1. aTP_Lamm_kh=1. aTP_Lamm_kl=1. aTP_Lamm_kp=1. aTP_Lamm_ks=1. aTP_Lamm_kv=1. aTP_Lamm_ky=1. aTP_Lamm_lb=1. aTP_Lamm_le=1. aTP_Lamm_lh=1. aTP_Lamm_lk=1. aTP_Lamm_lo=1. aTP_Lamm_ls=1. aTP_Lamm_lw=1. aTP_Lamm_ma=1. aTP_Lamm_md=1. aTP_Lamm_mg=1. aTP_Lamm_mj=1. aTP_Lamm_mm=1. aTP_Lamm_mp=1. aTP_Lamm_ms=1. aTP_Lamm_mv=1. aTP_Lamm_my=1. aTP_Lamm_na=1. aTP_Lamm_nc=1. aTP_Lamm_nf=1. aTP_Lamm_ni=1. aTP_Lamm_nl=1. aTP_Lamm_no=1. aTP_Lamm_ol=1. aTP_Lamm_op=1. aTP_Lamm_ot=1. aTP_Lamm_ox=1. aTP_Lamm_pb=1. aTP_Lamm_pf=1. aTP_Lamm_pj=1. aTP_Lamm_pn=1. aTP_Lamm_pq=1. aTP_Lamm_pt=1. aTP_Lamm_pw=1. aTP_Lamm_pz=1. aTP_Lamm_qc=1. aTP_Lamm_qf=1. aTP_Lamm_qi=1. aTP_Lamm_ql=1. aTP_Lamm_qo=1. aTP_Lamm_qr=1. aTP_Lamm_qv=1. aTP_Lamm_qz=1. aTP_Lamm_rd=1. aTP_Lamm_rh=1. aTP_Lamm_rk=1. aTP_Lamm_rn=1. aTP_Lamm_rq=1. aTP_Lamm_rt=1. aTP_Lamm_rw=1. aTP_Lamm_rz=1. aTP_Lamm_sd=1. aTP_Lamm_sf=1. aTP_Lamm_si=1. aTP_Lamm_sl=1. aTP_Lamm_so=1. aTP_Lamm_sr=1. aTP_Lamm_su=1. aTP_Lamm_sx=1. aTP_Lamm_tx=1. aTP_Lamm_tz=1. aTP_Lamm_ub=1. aTP_Lamm_ud=1. aTP_Lamm_uf=1. aTP_Lamm_uj=1. aTP_Lamm_ul=1. aTP_Lamm_uo=1. aTP_Lamm_ur=1. aTP_Lamm_ut=1. aTP_Lamm_uv=1. aTP_Lamm_uy=1. aTP_Lamm_va=1. aTP_Lamm_vd=1. aTP_Lamm_vg=1. aTP_Lamm_vj=1. aTP_Lamm_vm=1. aTP_Lamm_vo=1. aTP_Lamm_vp=1. aTP_Lamm_vu=1. fconj=1. fimplies=1. scratc1074709220d_Inj0=1. scratc1699887213_prop1=1. scratc1993754566d_n_1t=1. scratc2075210629_cond2=1. scratc238090227_prop1=1. scratc249601544d_Sing=1. scratc620980707_n_one=1. aTP_Lamm_bu=1. aTP_Lamm_cb=1. aTP_Lamm_cf=1. aTP_Lamm_cj=1. aTP_Lamm_cn=1. aTP_Lamm_cr=1. aTP_Lamm_cv=1. aTP_Lamm_cz=1. aTP_Lamm_dd=1. aTP_Lamm_dh=1. aTP_Lamm_dk=1. aTP_Lamm_dn=1. aTP_Lamm_dq=1. aTP_Lamm_dt=1. aTP_Lamm_dw=1. aTP_Lamm_dz=1. aTP_Lamm_ed=1. aTP_Lamm_eh=1. aTP_Lamm_el=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_fh=1. aTP_Lamm_fj=1. aTP_Lamm_fl=1. aTP_Lamm_fo=1. aTP_Lamm_fq=1. aTP_Lamm_fu=1. aTP_Lamm_fx=1. aTP_Lamm_gb=1. aTP_Lamm_ge=1. aTP_Lamm_gg=1. aTP_Lamm_gi=1. aTP_Lamm_gl=1. aTP_Lamm_go=1. aTP_Lamm_gr=1. aTP_Lamm_gu=1. aTP_Lamm_gx=1. aTP_Lamm_ha=1. aTP_Lamm_hc=1. aTP_Lamm_he=1. aTP_Lamm_hi=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_ia=1. aTP_Lamm_ic=1. aTP_Lamm_ig=1. aTP_Lamm_ik=1. aTP_Lamm_im=1. aTP_Lamm_io=1. aTP_Lamm_iq=1. aTP_Lamm_is=1. aTP_Lamm_iu=1. aTP_Lamm_ix=1. aTP_Lamm_ja=1. aTP_Lamm_jc=1. aTP_Lamm_je=1. aTP_Lamm_jh=1. aTP_Lamm_jj=1. aTP_Lamm_jk=1. aTP_Lamm_jo=1. aTP_Lamm_js=1. aTP_Lamm_jw=1. aTP_Lamm_ka=1. aTP_Lamm_ke=1. aTP_Lamm_ki=1. aTP_Lamm_km=1. aTP_Lamm_kq=1. aTP_Lamm_kt=1. aTP_Lamm_kw=1. aTP_Lamm_kz=1. aTP_Lamm_lc=1. aTP_Lamm_lf=1. aTP_Lamm_li=1. aTP_Lamm_ll=1. aTP_Lamm_lp=1. aTP_Lamm_lt=1. aTP_Lamm_lx=1. aTP_Lamm_mb=1. aTP_Lamm_me=1. aTP_Lamm_mh=1. aTP_Lamm_mk=1. aTP_Lamm_mn=1. aTP_Lamm_mq=1. aTP_Lamm_mt=1. aTP_Lamm_mw=1. aTP_Lamm_mz=1. aTP_Lamm_nb=1. aTP_Lamm_nd=1. aTP_Lamm_ne=1. aTP_Lamm_ng=1. aTP_Lamm_nh=1. aTP_Lamm_nj=1. aTP_Lamm_nk=1. aTP_Lamm_nm=1. aTP_Lamm_nn=1. aTP_Lamm_np=1. aTP_Lamm_nr=1. aTP_Lamm_nt=1. aTP_Lamm_nv=1. aTP_Lamm_nx=1. aTP_Lamm_nz=1. aTP_Lamm_ob=1. aTP_Lamm_od=1. aTP_Lamm_of=1. aTP_Lamm_og=1. aTP_Lamm_oh=1. aTP_Lamm_oi=1. aTP_Lamm_om=1. aTP_Lamm_oq=1. aTP_Lamm_ou=1. aTP_Lamm_oy=1. aTP_Lamm_pc=1. aTP_Lamm_pg=1. aTP_Lamm_pk=1. aTP_Lamm_po=1. aTP_Lamm_pr=1. aTP_Lamm_pu=1. aTP_Lamm_px=1. aTP_Lamm_qa=1. aTP_Lamm_qd=1. aTP_Lamm_qg=1. aTP_Lamm_qj=1. aTP_Lamm_qm=1. aTP_Lamm_qp=1. aTP_Lamm_qs=1. aTP_Lamm_qw=1. aTP_Lamm_ra=1. aTP_Lamm_re=1. aTP_Lamm_ri=1. aTP_Lamm_rl=1. aTP_Lamm_ro=1. aTP_Lamm_rr=1. aTP_Lamm_ru=1. aTP_Lamm_rx=1. aTP_Lamm_sa=1. aTP_Lamm_sb=1. aTP_Lamm_sc=1. aTP_Lamm_se=1. aTP_Lamm_sg=1. aTP_Lamm_sj=1. aTP_Lamm_sm=1. aTP_Lamm_sp=1. aTP_Lamm_ss=1. aTP_Lamm_sv=1. aTP_Lamm_sy=1. aTP_Lamm_ta=1. aTP_Lamm_tc=1. aTP_Lamm_te=1. aTP_Lamm_tg=1. aTP_Lamm_ti=1. aTP_Lamm_tk=1. aTP_Lamm_tm=1. aTP_Lamm_to=1. aTP_Lamm_tq=1. aTP_Lamm_ts=1. aTP_Lamm_tu=1. aTP_Lamm_tw=1. aTP_Lamm_ty=1. aTP_Lamm_ua=1. aTP_Lamm_uc=1. aTP_Lamm_ue=1. aTP_Lamm_ug=1. aTP_Lamm_uk=1. aTP_Lamm_um=1. aTP_Lamm_up=1. aTP_Lamm_us=1. aTP_Lamm_uu=1. aTP_Lamm_uw=1. aTP_Lamm_uz=1. aTP_Lamm_vb=1. aTP_Lamm_vc=1. aTP_Lamm_ve=1. aTP_Lamm_vf=1. aTP_Lamm_vh=1. aTP_Lamm_vi=1. aTP_Lamm_vk=1. aTP_Lamm_vl=1. aTP_Lamm_vn=1. aTP_Lamm_vq=1. aTP_Lamm_vs=1. aTP_Lamm_vt=1. aTP_Lamm_vx=1. aTP_Lamm_vy=1. aTP_Lamm_vz=1. aTP_Lamm_wc=1. aTP_Lamm_wz=1. fequal_TPTP_ind=1. scratc1652516712nd_nIn=1. scratc1993820165d_n_2t=1. scratc2075210628_cond1=1. scratc264976360univof=1. scratc981076568_d_Unj=1. aTP_Lamm_ac=1. aTP_Lamm_ak=1. aTP_Lamm_aq=1. aTP_Lamm_bs=1. aTP_Lamm_bt=1. bool=1. scratc1032417454_prop1=1. scratc1208849525_prop1=1. scratc140765740_prop1=1. scratc1414814577_prop1=1. scratc1460372459nempty=1. scratc1540218024munion=1. scratc164621579pair_p=1. scratc1699887216_prop4=1. scratc1723698971_times=1. scratc1797211700_prop1=1. scratc1837681798r1type=1. scratc1989078204428_id=1. scratc1993754561d_n_1o=1. scratc2003176752_prop1=1. scratc2060487494_prop4=1. scratc320025829d_plus=1. scratc663253826_empty=1. scratc1194128832d_i1_s=1. scratc1429765542_428_g=1. scratc1463506720air_u0=1. scratc147056993d_xout=1. scratc1552057132d_24_g=1. scratc1582810140let_u0=1. scratc1676952438d_1out=1. tPTP_ind=1. aa_TPT43085870d_bool=1. aa_TPTP_ind_bool=1. aa_TPTP_ind_TPTP_ind=1. aa_fun171081125l_bool=1. aa_TPT60673477d_bool=1. aa_TPT1424761345TP_ind=1. aa_fun277296641TP_ind=1. aa_TPT494704832TP_ind=1. aa_bool_bool=1. aa_fun1584354236d_bool=1. scratc1080214622_d_and=1. aa_fun1431113780TP_ind=1. aa_boo1142376798l_bool=1. aa_TPT1123896796d_bool=1. scratc760232296bnd_if=1. scratc1865520767d_l_ec=1. aa_fun1212484691d_bool=1. scratc1613636340nd_ind=1. scratc331284095d_e_in=1. aa_TPT1791839040TP_ind=1. aa_TPT985247859d_bool=1. scratc1345373811d_pair=1. aa_fun987228051d_bool=1. scratc391308847_amone=1. scratc1703333151second=1. scratc801768304_image=1. scratc844410373_first=1. aa_TPT125613450d_bool=1. scratc1655009474nd_non=1. aa_fun1913827119d_bool=1. scratc1511593142d_anec=1. aa_fun1107270209d_bool=1. aa_fun845057962d_bool=1. scratc1355915076_ecelt=1. scratc1579868743nd_ecp=1. scratc755951190eplSep=1. scratc1355324685_ecect=1. scratc1663664579nd_out=1. aa_TPT1781712639TP_ind=1. aa_TPT2142672771l_bool=1. aa_fun1235454963TP_ind=1. cOMBB_658106424TP_ind=1. cOMBS_2003118649l_bool=1. scratc1076090423ectset=1. scratc1579868747nd_ect=1. scratc192490616etprop=1. scratc564063897fixfu2=1. scratc76314746eft1to=1. scratc893126617_fixfu=1. scratc898174107ght1to=1. scratc944117220wissel=1. scratc1182207769unmore=1. scratc1314954976d_invf=1. scratc1318691507d_tofs=1. scratc1853602949nverse=1. scratc960888546ectelt=1. f1=1. f12=1. f13=1. f20=1. f24=1. scratc1225245677all_of=1. scratc1997887295d_n_pl=1. scratc1998149698d_n_ts=1. scratc1997887289d_n_pf=1. scratc1187679802_d_not=1. scratc331284100d_e_is=1. scratc963963173_d_Sep=1. scratc335906485l_some=1. scratc381266158d_esti=1. scratc309190771ffprop=1. scratc1866176772d_l_or=1. scratc1547413110nd_all=1. scratc1663205371nd_one=1. aTP_Lamm_ag=1. scratc1761210219d_outn=1. scratc997568309_rec_G=1. aTP_Lamm_hf=1. aTP_Lamm_hj=1. aTP_Lamm_id=1. aTP_Lamm_ih=1. aTP_Lamm_wj=1. aTP_Lamm_al=1. aTP_Lamm_as=1. aTP_Lamm_bc=1. aTP_Lamm_bk=1. aTP_Lamm_bx=1. aTP_Lamm_by=1. aTP_Lamm_cc=1. aTP_Lamm_cg=1. aTP_Lamm_ck=1. aTP_Lamm_co=1. aTP_Lamm_cs=1. aTP_Lamm_cw=1. aTP_Lamm_da=1. aTP_Lamm_de=1. aTP_Lamm_ea=1. aTP_Lamm_ee=1. aTP_Lamm_ei=1. aTP_Lamm_em=1. aTP_Lamm_fy=1. aTP_Lamm_gj=1. aTP_Lamm_gm=1. aTP_Lamm_gp=1. aTP_Lamm_gs=1. aTP_Lamm_gv=1. aTP_Lamm_gy=1. aTP_Lamm_jf=1. aTP_Lamm_jl=1. aTP_Lamm_jp=1. aTP_Lamm_jt=1. aTP_Lamm_jx=1. aTP_Lamm_kb=1. aTP_Lamm_kf=1. aTP_Lamm_kj=1. aTP_Lamm_kn=1. aTP_Lamm_lm=1. aTP_Lamm_lq=1. aTP_Lamm_lu=1. aTP_Lamm_ly=1. aTP_Lamm_oj=1. aTP_Lamm_on=1. aTP_Lamm_or=1. aTP_Lamm_ov=1. aTP_Lamm_oz=1. aTP_Lamm_pd=1. aTP_Lamm_ph=1. aTP_Lamm_pl=1. aTP_Lamm_qt=1. aTP_Lamm_qx=1. aTP_Lamm_rb=1. aTP_Lamm_rf=1. aTP_Lamm_sh=1. aTP_Lamm_sk=1. aTP_Lamm_sn=1. aTP_Lamm_sq=1. aTP_Lamm_st=1. aTP_Lamm_sw=1. aTP_Lamm_uh=1. aTP_Lamm_wb=1. aTP_Lamm_wx=1. scratc1313708601d_incl=1. aTP_Lamm_aw=1. aTP_Lamm_bg=1. aTP_Lamm_bj=1. aTP_Lamm_bn=1. aTP_Lamm_di=1. aTP_Lamm_dl=1. aTP_Lamm_do=1. aTP_Lamm_dr=1. aTP_Lamm_du=1. aTP_Lamm_dx=1. aTP_Lamm_eq=1. aTP_Lamm_et=1. aTP_Lamm_ew=1. aTP_Lamm_ez=1. aTP_Lamm_fc=1. aTP_Lamm_ff=1. aTP_Lamm_kr=1. aTP_Lamm_ku=1. aTP_Lamm_kx=1. aTP_Lamm_la=1. aTP_Lamm_ld=1. aTP_Lamm_lg=1. aTP_Lamm_lj=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_pp=1. aTP_Lamm_ps=1. aTP_Lamm_pv=1. aTP_Lamm_py=1. aTP_Lamm_qb=1. aTP_Lamm_qe=1. aTP_Lamm_qh=1. aTP_Lamm_qk=1. aTP_Lamm_qn=1. aTP_Lamm_qq=1. aTP_Lamm_rj=1. aTP_Lamm_rm=1. aTP_Lamm_rp=1. aTP_Lamm_rs=1. aTP_Lamm_rv=1. aTP_Lamm_ry=1. aTP_Lamm_un=1. aTP_Lamm_uq=1. aTP_Lamm_wt=1. aTP_Lamm_wv=1. scratc1580721533nd_eps=1. scratc1613636350nd_inn=1. scratc1643394844ective=1. scratc2089278350etprod=1. aTP_Lamm_aa=1. aTP_Lamm_at=1. aTP_Lamm_au=1. aTP_Lamm_av=1. aTP_Lamm_ax=1. aTP_Lamm_ay=1. aTP_Lamm_ba=1. aTP_Lamm_bb=1. aTP_Lamm_bh=1. aTP_Lamm_bi=1. aTP_Lamm_bl=1. aTP_Lamm_bz=1. aTP_Lamm_cd=1. aTP_Lamm_ch=1. aTP_Lamm_cl=1. aTP_Lamm_cp=1. aTP_Lamm_ct=1. aTP_Lamm_cx=1. aTP_Lamm_db=1. aTP_Lamm_df=1. aTP_Lamm_eb=1. aTP_Lamm_ef=1. aTP_Lamm_ej=1. aTP_Lamm_en=1. aTP_Lamm_fm=1. aTP_Lamm_fs=1. aTP_Lamm_fv=1. aTP_Lamm_fz=1. aTP_Lamm_gc=1. aTP_Lamm_hg=1. aTP_Lamm_hk=1. aTP_Lamm_ie=1. aTP_Lamm_ii=1. aTP_Lamm_iv=1. aTP_Lamm_iy=1. aTP_Lamm_jm=1. aTP_Lamm_jq=1. aTP_Lamm_ju=1. aTP_Lamm_jy=1. aTP_Lamm_kc=1. aTP_Lamm_kg=1. aTP_Lamm_kk=1. aTP_Lamm_ko=1. aTP_Lamm_ln=1. aTP_Lamm_lr=1. aTP_Lamm_lv=1. aTP_Lamm_lz=1. aTP_Lamm_mu=1. aTP_Lamm_mx=1. aTP_Lamm_ok=1. aTP_Lamm_oo=1. aTP_Lamm_os=1. aTP_Lamm_ow=1. aTP_Lamm_pa=1. aTP_Lamm_pe=1. aTP_Lamm_pi=1. aTP_Lamm_pm=1. aTP_Lamm_qu=1. aTP_Lamm_qy=1. aTP_Lamm_rc=1. aTP_Lamm_rg=1. aTP_Lamm_ui=1. aTP_Lamm_ux=1. aTP_Lamm_wd=1. aTP_Lamm_we=1. aTP_Lamm_wf=1. aTP_Lamm_wh=1. aTP_Lamm_wn=1. aTP_Lamm_wp=1. aTP_Lamm_wq=1. aTP_Lamm_wu=1. fEx_TPTP_ind=1. scratc1558106084lbprop=1. scratc1646354375nd_min=1. scratc1875719559ective=1. scratc1997624889d_n_lb=1. scratc386591475nunion=1. aTP_Lamm_az=1. aTP_Lamm_wg=1. aTP_Lamm_wi=1. aTP_Lamm_wk=1. aTP_Lamm_wl=1. aTP_Lamm_wm=1. aTP_Lamm_wo=1. aTP_Lamm_wr=1. aTP_Lamm_ws=1. aTP_Lamm_ww=1. aTP_Lamm_wy=1. scratc1033402038_UPair=1. scratc1229683410econd1=1. scratc1625969164_pair1=1. scratc282841964first1=1. scratc483714770In_rec=1. aTP_Lamm_ad=1. aTP_Lamm_ae=1. aTP_Lamm_af=1. aTP_Lamm_aj=1. aTP_Lamm_am=1. aTP_Lamm_bd=1. aTP_Lamm_be=1. aTP_Lamm_bf=1. aTP_Lamm_bm=1. aTP_Lamm_bp=1. aTP_Lamm_bv=1. aTP_Lamm_bw=1. cOMBC_1555011498d_bool=1. scratc1123031605_prop1=1. scratc1827114074ective=1. scratc2060487493_prop3=1. scratc302877017tminus=1. scratc444055279_prop1=1. scratc534669430_prop1=1. scratc719713512t_disj=1. scratc826452402_prop1=1. scratc892741492367_vo=1. undefined_bool=1. scratc1463244324air_q0=1. scratc1997690500d_n_mn=1. scratc540460988_367_w=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. scratc1663467717nd_or3=1. scratc1579868682nd_ec3=1. scratc1614029935nd_ite=1. scratc538104309d_soft=1. scratc1433829810d_left=1. scratc1607008832_indeq=1. scratc2060487491_prop1=1. scratc131860302sel_wa=1. scratc131860303sel_wb=1. scratc1759830205eft_f1=1. scratc218214896d_11_i=1. scratc1542681809_right=1. scratc1759830206eft_f2=1. f5=1. f7=1. f14=1. f16=1. f19=1. f25=1. scratc2060487492_prop2=1. scratc1867561899hangef=1. scratc685379886_inj_h=1. f3=1. f4=1. f15=1. scratc785412854_prop1=1. scratc347573746indeq2=1. f6=1.
% 7.72/7.98
% 7.72/7.98 ============================== end of process initial clauses ========
% 7.72/7.98
% 7.72/7.98 ============================== CLAUSES FOR SEARCH ====================
% 7.72/7.98
% 7.72/7.98 ============================== end of clauses for search =============
% 7.72/7.98
% 7.72/7.98 ============================== SEARCH ================================
% 7.72/7.98
% 7.72/7.98 % Starting search at 2.21 seconds.
% 7.72/7.98
% 7.72/7.98 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 100 (0.00 of 2.90 sec).
% 7.72/7.98
% 7.72/7.98 Low Water (keep): wt=42.000, iters=3549
% 7.72/7.98
% 7.72/7.98 Low Water (keep): wt=41.000, iters=3508
% 7.72/7.98
% 7.72/7.98 Low Water (keep): wt=39.000, iters=3458
% 7.72/7.98
% 7.72/7.98 Low Water (keep): wt=31.000, iters=3361
% 7.72/7.98
% 7.72/7.98 Low Water (keep): wt=30.000, iters=3342
% 7.72/7.98
% 7.72/7.98 Low Water (keep): wt=29.000, iters=3342
% 7.72/7.98
% 7.72/7.98 Low Water (keep): wt=28.000, iters=3404
% 7.72/7.98
% 7.72/7.98 Low Water (keep): wt=27.000, iters=3341
% 7.72/7.98
% 7.72/7.98 Low Water (keep): wt=26.000, iters=3346
% 7.72/7.98
% 7.72/7.98 Low Water (keep): wt=25.000, iters=3423
% 7.72/7.98
% 7.72/7.98 Low Water (keep): wt=24.000, iters=3371
% 7.72/7.98
% 7.72/7.98 Low Water (keep): wt=23.000, iters=3337
% 7.72/7.98
% 7.72/7.98 Low Water (keep): wt=22.000, iters=3341
% 7.72/7.98
% 7.72/7.98 Low Water (keep): wt=21.000, iters=4263
% 7.72/7.98
% 7.72/7.98 Low Water (keep): wt=19.000, iters=3434
% 7.72/7.98
% 7.72/7.98 Low Water (keep): wt=18.000, iters=3426
% 7.72/7.98
% 7.72/7.98 Low Water (keep): wt=17.000, iters=3641
% 7.72/7.98
% 7.72/7.98 Low Water (keep): wt=16.000, iters=3643
% 7.72/7.98
% 7.72/7.98 Low Water (keep): wt=15.000, iters=3432
% 7.72/7.98
% 7.72/7.98 Low Water (keep): wt=13.000, iters=4188
% 7.72/7.98
% 7.72/7.98 Low Water (keep): wt=12.000, iters=3758
% 7.72/7.98
% 7.72/7.98 Low Water (displace): id=14093, wt=13.000
% 7.72/7.98
% 7.72/7.98 Low Water (displace): id=14095, wt=12.000
% 7.72/7.98
% 7.72/7.98 Low Water (displace): id=14105, wt=11.000
% 7.72/7.98
% 7.72/7.98 Low WatCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------