TSTP Solution File: NUM667+4 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : NUM667+4 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n013.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 13:30:22 EDT 2022
% Result : Timeout 300.04s 300.29s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM667+4 : TPTP v8.1.0. Released v7.3.0.
% 0.03/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.33 % Computer : n013.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Wed Jul 6 16:25:29 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.95/1.26 ============================== Prover9 ===============================
% 0.95/1.26 Prover9 (32) version 2009-11A, November 2009.
% 0.95/1.26 Process 26657 was started by sandbox2 on n013.cluster.edu,
% 0.95/1.26 Wed Jul 6 16:25:30 2022
% 0.95/1.26 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_26504_n013.cluster.edu".
% 0.95/1.26 ============================== end of head ===========================
% 0.95/1.26
% 0.95/1.26 ============================== INPUT =================================
% 0.95/1.26
% 0.95/1.26 % Reading from file /tmp/Prover9_26504_n013.cluster.edu
% 0.95/1.26
% 0.95/1.26 set(prolog_style_variables).
% 0.95/1.26 set(auto2).
% 0.95/1.26 % set(auto2) -> set(auto).
% 0.95/1.26 % set(auto) -> set(auto_inference).
% 0.95/1.26 % set(auto) -> set(auto_setup).
% 0.95/1.26 % set(auto_setup) -> set(predicate_elim).
% 0.95/1.26 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.95/1.26 % set(auto) -> set(auto_limits).
% 0.95/1.26 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.95/1.26 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.95/1.26 % set(auto) -> set(auto_denials).
% 0.95/1.26 % set(auto) -> set(auto_process).
% 0.95/1.26 % set(auto2) -> assign(new_constants, 1).
% 0.95/1.26 % set(auto2) -> assign(fold_denial_max, 3).
% 0.95/1.26 % set(auto2) -> assign(max_weight, "200.000").
% 0.95/1.26 % set(auto2) -> assign(max_hours, 1).
% 0.95/1.26 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.95/1.26 % set(auto2) -> assign(max_seconds, 0).
% 0.95/1.26 % set(auto2) -> assign(max_minutes, 5).
% 0.95/1.26 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.95/1.26 % set(auto2) -> set(sort_initial_sos).
% 0.95/1.26 % set(auto2) -> assign(sos_limit, -1).
% 0.95/1.26 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.95/1.26 % set(auto2) -> assign(max_megs, 400).
% 0.95/1.26 % set(auto2) -> assign(stats, some).
% 0.95/1.26 % set(auto2) -> clear(echo_input).
% 0.95/1.26 % set(auto2) -> set(quiet).
% 0.95/1.26 % set(auto2) -> clear(print_initial_clauses).
% 0.95/1.26 % set(auto2) -> clear(print_given).
% 0.95/1.26 assign(lrs_ticks,-1).
% 0.95/1.26 assign(sos_limit,10000).
% 0.95/1.26 assign(order,kbo).
% 0.95/1.26 set(lex_order_vars).
% 0.95/1.26 clear(print_given).
% 0.95/1.26
% 0.95/1.26 % formulas(sos). % not echoed (436 formulas)
% 0.95/1.26
% 0.95/1.26 ============================== end of input ==========================
% 0.95/1.26
% 0.95/1.26 % From the command line: assign(max_seconds, 300).
% 0.95/1.26
% 0.95/1.26 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.95/1.26
% 0.95/1.26 % Formulas that are not ordinary clauses:
% 0.95/1.26 1 (all B_1 all B_2 gg_bool(scratc1923679338_amone(B_1,B_2))) # label(gsy_c_Scratch__tptp__translate__45444__26202_ONUM667__thf__4__p_Obnd__amone) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.26 2 (all B_1 all B_2 gg_bool(scratc1489974499_d_and(B_1,B_2))) # label(gsy_c_Scratch__tptp__translate__45444__26202_ONUM667__thf__4__p_Obnd__d__and) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.26 3 (all B_1 gg_bool(scratc1597439679_d_not(B_1))) # label(gsy_c_Scratch__tptp__translate__45444__26202_ONUM667__thf__4__p_Obnd__d__not) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.26 4 (all B_1 all B_2 all B_3 gg_bool(scratc1776364997nd_ec3(B_1,B_2,B_3))) # label(gsy_c_Scratch__tptp__translate__45444__26202_ONUM667__thf__4__p_Obnd__ec3) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.26 5 (all B_1 all B_2 gg_TPTP_ind(scratc1776365062nd_ect(B_1,B_2))) # label(gsy_c_Scratch__tptp__translate__45444__26202_ONUM667__thf__4__p_Obnd__ect) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.26 6 (all B_1 gg_TPTP_ind(scratc1777217848nd_eps(B_1))) # label(gsy_c_Scratch__tptp__translate__45444__26202_ONUM667__thf__4__p_Obnd__eps) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.26 7 (all B_1 all B_2 gg_TPTP_ind(scratc1810132655nd_ind(B_1,B_2))) # label(gsy_c_Scratch__tptp__translate__45444__26202_ONUM667__thf__4__p_Obnd__ind) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.26 8 (all B_1 all B_2 gg_bool(scratc1250407610d_l_ec(B_1,B_2))) # label(gsy_c_Scratch__tptp__translate__45444__26202_ONUM667__thf__4__p_Obnd__l__ec) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.26 9 (all B_1 all B_2 all B_3 gg_bool(scratc1859964032nd_or3(B_1,B_2,B_3))) # label(gsy_c_Scratch__tptp__translate__45444__26202_ONUM667__thf__4__p_Obnd__or3) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.26 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].
% 0.95/1.26 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].
% 0.95/1.27 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].
% 0.95/1.27 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].
% 0.95/1.27 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].
% 0.95/1.27 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].
% 0.95/1.27 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].
% 0.95/1.27 17 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1293737395lessis,X),Xa)) <-> pp(aa_bool_bool(scratc1251063615d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1809804665nd_iii,X),Xa)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1382314952d_n_is,X),Xa))))) # label(fact_def__lessis) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 18 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1427721007moreis,X),Xa)) <-> pp(aa_bool_bool(scratc1251063615d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,X),Xa)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1382314952d_n_is,X),Xa))))) # label(fact_def__moreis) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 19 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc10209715_prop1,X),Xa)) <-> pp(scratc1859964032nd_or3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1382314952d_n_is,X),Xa),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,X),Xa),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1809804665nd_iii,X),Xa))))) # label(fact_def__d__29__prop1) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 20 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1809804665nd_iii,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc865080434n_some,aa_TPT43085870d_bool(scratc488660600ffprop(Xa),X))))) # label(fact_def__iii) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 21 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc865080434n_some,aa_TPT43085870d_bool(scratc488660600ffprop(X),Xa))))) # label(fact_def__d__29__ii) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 22 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc488660600ffprop(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1382314952d_n_is,X),aa_TPTP_ind_TPTP_ind(scratc1382774138d_n_pl(Xa),Xb))))) # label(fact_def__diffprop) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 23 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1569331188_prop1(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1851112200nd_nis,aa_TPTP_ind_TPTP_ind(scratc1382774138d_n_pl(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc1382774138d_n_pl(X),Xb))))) # label(fact_def__d__28__prop1) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 24 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc980969013_prop1,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1851112200nd_nis,Xa),aa_TPTP_ind_TPTP_ind(scratc1382774138d_n_pl(X),Xa))))) # label(fact_def__d__27__prop1) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 25 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc392606838_prop1,X),Xa)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1382314952d_n_is,aa_TPTP_ind_TPTP_ind(scratc1382774138d_n_pl(X),Xa)),aa_TPTP_ind_TPTP_ind(scratc1382774138d_n_pl(Xa),X))))) # label(fact_def__d__26__prop1) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 26 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1951728311_prop1(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1382314952d_n_is,aa_TPTP_ind_TPTP_ind(scratc1382774138d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1382774138d_n_pl(X),Xa)),Xb)),aa_TPTP_ind_TPTP_ind(scratc1382774138d_n_pl(X),aa_TPTP_ind_TPTP_ind(scratc1382774138d_n_pl(Xa),Xb)))))) # label(fact_def__d__25__prop1) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 27 (all X scratc1382774138d_n_pl(X) = aa_TPT1424761345TP_ind(scratc1813794047bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1084938218d_plus,X))) # label(fact_def__n__pl) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 28 (all X aa_TPTP_ind_TPTP_ind(scratc1084938218d_plus,X) = scratc1810132655nd_ind(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc722450317d_d_Pi,scratc1850587409nd_nat),aTP_Lamm_ad),aa_TPT43085870d_bool(scratc1363366137_prop2,X))) # label(fact_def__plus) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 29 (all X aa_TPTP_ind_TPTP_ind(scratc1731526961d_24_g,X) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1318385489_Sigma,scratc1850587409nd_nat),aTP_Lamm_ae(X))) # label(fact_def__d__24__g) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 30 (all X (pp(aa_TPTP_ind_bool(scratc1445374337_prop4,X)) <-> pp(aa_fun171081125l_bool(scratc121255792l_some(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc722450317d_d_Pi,scratc1850587409nd_nat),aTP_Lamm_ad)),aa_TPT43085870d_bool(scratc1363366137_prop2,X))))) # label(fact_def__prop4) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 31 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1445374336_prop3(X),Xa),Xb)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1382314952d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1813794047bnd_ap,X),Xb)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1813794047bnd_ap,Xa),Xb))))) # label(fact_def__prop3) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 32 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1363366137_prop2,X),Xa)) <-> pp(scratc1489974499_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1382314952d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1813794047bnd_ap,Xa),scratc1562404659nd_n_1)),aa_TPTP_ind_TPTP_ind(scratc93220915rdsucc,X)),aa_TPTP_ind_bool(scratc1363366136_prop1,Xa))))) # label(fact_def__d__24__prop2) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 33 (all X (pp(aa_TPTP_ind_bool(scratc1363366136_prop1,X)) <-> pp(aa_fun171081125l_bool(scratc914948323_n_all,aa_TPT43085870d_bool(aTP_Lamm_af,X))))) # label(fact_def__d__24__prop1) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 34 (all X (pp(aa_TPTP_ind_bool(scratc775003961_prop1,X)) <-> pp(aa_bool_bool(scratc1251063615d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1382314952d_n_is,X),scratc1562404659nd_n_1)),aa_fun171081125l_bool(scratc865080434n_some,aa_TPT43085870d_bool(aTP_Lamm_ag,X)))))) # label(fact_def__d__23__prop1) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 35 (all X (pp(aa_TPTP_ind_bool(scratc186641786_prop1,X)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1851112200nd_nis,aa_TPTP_ind_TPTP_ind(scratc93220915rdsucc,X)),X)))) # label(fact_def__d__22__prop1) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 36 (all X (pp(aa_TPTP_ind_bool(scratc1460097472_cond2,X)) <-> pp(aa_fun171081125l_bool(scratc914948323_n_all,aa_TPT43085870d_bool(aTP_Lamm_ah,X))))) # label(fact_def__cond2) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 37 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1851112200nd_nis,X),Xa)) <-> pp(scratc1597439679_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1382314952d_n_is,X),Xa))))) # label(fact_def__nis) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 38 (all X all Xa all Xb all Xc all Xd scratc757333623indeq2(X,Xa,Xb,Xc,Xd) = aa_TPT1424761345TP_ind(scratc991895675_indeq(X,Xa,Xb),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc397684725d_11_i(X,Xa,Xb),Xc),Xd))) # label(fact_def__indeq2) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 39 (all X all Xa all Xb scratc397684725d_11_i(X,Xa,Xb) = scratc991895675_indeq(X,Xa,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc722450317d_d_Pi,X),aTP_Lamm_aj(Xb)))) # label(fact_def__d__11__i) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 40 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc973823774fixfu2(X,Xa),Xb),Xc)) <-> pp(aa_fun171081125l_bool(scratc1010594984all_of(aa_TPT43085870d_bool(aTP_Lamm_ak,X)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_fun987228051d_bool(aTP_Lamm_ao(X),Xa),Xb),Xc))))) # label(fact_def__fixfu2) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 41 (all X all Xa all Xb all Xc all Xd aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc991895675_indeq(X,Xa,Xb),Xc),Xd) = scratc1810132655nd_ind(Xb,aa_TPT43085870d_bool(scratc1445374335_prop2(X,Xa,Xb,Xc),Xd))) # label(fact_def__indeq) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 42 (all X all Xa all Xb all Xc all Xd all Xe (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1445374335_prop2(X,Xa,Xb,Xc),Xd),Xe)) <-> pp(aa_fun171081125l_bool(scratc121255792l_some(X),aa_TPT43085870d_bool(scratc1910688763_prop1(X,Xa,Xb,Xc,Xd),Xe))))) # label(fact_def__prop2) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 43 (all X all Xa all Xb all Xc all Xd all Xe all Xf (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1910688763_prop1(X,Xa,Xb,Xc,Xd),Xe),Xf)) <-> pp(scratc1489974499_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1146178547d_esti(X),Xf),aa_TPTP_ind_TPTP_ind(scratc740211528_ecect(X,Xa),Xd)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1863654591d_e_is(Xb),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1813794047bnd_ap,Xc),Xf)),Xe))))) # label(fact_def__d__10__prop1) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 44 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc278013460_fixfu(X,Xa),Xb),Xc)) <-> pp(aa_fun171081125l_bool(scratc1010594984all_of(aa_TPT43085870d_bool(aTP_Lamm_ak,X)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_fun987228051d_bool(aTP_Lamm_aq(X),Xa),Xb),Xc))))) # label(fact_def__fixfu) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 45 (all X all Xa scratc740211528_ecect(X,Xa) = scratc1863654586d_e_in(aa_TPTP_ind_TPTP_ind(scratc1316466901_power,X),scratc129021883d_anec(X,Xa))) # label(fact_def__ecect) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 46 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc1370648423ectelt(X,Xa),Xb) = aa_TPTP_ind_TPTP_ind(scratc1485850300ectset(X,Xa),aa_TPTP_ind_TPTP_ind(scratc740801919_ecelt(X,Xa),Xb))) # label(fact_def__ectelt) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 47 (all X all Xa scratc1485850300ectset(X,Xa) = scratc1860160894nd_out(aa_TPTP_ind_TPTP_ind(scratc1316466901_power,X),scratc129021883d_anec(X,Xa))) # label(fact_def__ectset) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 48 (all X all Xa scratc1776365062nd_ect(X,Xa) = aa_fun1431113780TP_ind(scratc1373723050_d_Sep(aa_TPTP_ind_TPTP_ind(scratc1316466901_power,X)),scratc129021883d_anec(X,Xa))) # label(fact_def__ect) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 49 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(scratc129021883d_anec(X,Xa),Xb)) <-> pp(aa_fun171081125l_bool(scratc121255792l_some(X),aa_TPT43085870d_bool(scratc1776365058nd_ecp(X,Xa),Xb))))) # label(fact_def__anec) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 50 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1776365058nd_ecp(X,Xa),Xb),Xc)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1863654591d_e_is(aa_TPTP_ind_TPTP_ind(scratc1316466901_power,X)),Xb),aa_TPTP_ind_TPTP_ind(scratc740801919_ecelt(X,Xa),Xc))))) # label(fact_def__ecp) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 51 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc740801919_ecelt(X,Xa),Xb) = aa_fun1431113780TP_ind(scratc1373723050_d_Sep(X),aa_TPT43085870d_bool(Xa,Xb))) # label(fact_def__ecelt) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 52 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc1591967646unmore(X,Xa),Xb) = aa_fun1431113780TP_ind(scratc1373723050_d_Sep(X),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_as(X),Xa),Xb))) # label(fact_def__unmore) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 53 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1799550973etprop(X,Xa),Xb),Xc)) <-> pp(scratc1489974499_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1146178547d_esti(X),Xc),Xa),scratc1597439679_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1146178547d_esti(X),Xc),Xb)))))) # label(fact_def__nissetprop) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 54 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc899183341t_disj(X),Xa),Xb)) <-> pp(aa_fun171081125l_bool(scratc1743909425nd_all(X),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_at(X),Xa),Xb))))) # label(fact_def__st__disj) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 55 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2078620990d_incl(X),Xa),Xb)) <-> pp(aa_fun171081125l_bool(scratc1743909425nd_all(X),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_au(X),Xa),Xb))))) # label(fact_def__incl) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 56 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1639842288nempty,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc121255792l_some(X),aa_TPT43085870d_bool(aTP_Lamm_av(X),Xa))))) # label(fact_def__nonempty) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 57 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc48140669_empty,X),Xa)) <-> pp(aa_fun171081125l_bool(scratc1010594984all_of(aa_TPT43085870d_bool(aTP_Lamm_ak,X)),scratc1851505789nd_non(X,aa_TPT43085870d_bool(aTP_Lamm_av(X),Xa)))))) # label(fact_def__empty) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 58 (all X scratc1146178547d_esti(X) = scratc1814318837bnd_in) # label(fact_def__esti) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 59 (all X all Xa (scratc1645342400d_r_ec(X,Xa) <-> (pp(X) -> pp(scratc1597439679_d_not(Xa))))) # label(fact_def__r__ec) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 60 (all X all Xa all Xb all Xc all Xd aa_TPTP_ind_TPTP_ind(scratc1652911206hangef(X,Xa,Xb,Xc),Xd) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1318385489_Sigma,X),aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aa_TPT1781712639TP_ind(aTP_Lamm_aw(X),Xb),Xc),Xd))) # label(fact_def__changef) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 61 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc1353877097wissel(X,Xa),Xb) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1318385489_Sigma,X),scratc1738920660sel_wb(X,Xa,Xb))) # label(fact_def__wissel) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 62 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc1738920660sel_wb(X,Xa,Xb),Xc) = aa_TPTP_ind_TPTP_ind(scratc1810526250nd_ite(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1863654591d_e_is(X),Xc),Xb),X,Xa),aa_TPTP_ind_TPTP_ind(scratc1738920659sel_wa(X,Xa,Xb),Xc))) # label(fact_def__wissel__wb) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 63 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc1738920659sel_wa(X,Xa,Xb),Xc) = aa_TPTP_ind_TPTP_ind(scratc1810526250nd_ite(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1863654591d_e_is(X),Xc),Xa),X,Xb),Xc)) # label(fact_def__wissel__wa) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 64 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc1810526250nd_ite(X,Xa,Xb),Xc) = scratc1810132655nd_ind(Xa,aa_TPT43085870d_bool(scratc1445374334_prop1(X,Xa,Xb),Xc))) # label(fact_def__ite) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 65 (all X all Xa all Xb all Xc all Xd (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1445374334_prop1(X,Xa,Xb),Xc),Xd)) <-> pp(scratc1489974499_d_and(aa_bool_bool(aa_boo1142376798l_bool(scratc1810067068nd_imp,X),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1863654591d_e_is(Xa),Xd),Xb)),aa_bool_bool(aa_boo1142376798l_bool(scratc1810067068nd_imp,scratc1597439679_d_not(X)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1863654591d_e_is(Xa),Xd),Xc)))))) # label(fact_def__prop1) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 66 (all X all Xa scratc2113093028second(X,Xa) = scratc1444980740_proj1) # label(fact_def__second) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 67 (all X all Xa scratc229297216_first(X,Xa) = scratc1444980739_proj0) # label(fact_def__first) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 68 (all X all Xa scratc1130723118d_pair(X,Xa) = scratc993274474d_pair) # label(fact_def__d__pair) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 69 (all X all Xa scratc1860160894nd_out(X,Xa) = scratc1303016698d_soft(aa_fun1431113780TP_ind(scratc1373723050_d_Sep(X),Xa),X,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1318385489_Sigma,aa_fun1431113780TP_ind(scratc1373723050_d_Sep(X),Xa)),scratc1863654586d_e_in(X,Xa)))) # label(fact_def__out) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 70 (all X all Xa all Xb (gg_TPTP_ind(Xb) -> aa_TPTP_ind_TPTP_ind(scratc1863654586d_e_in(X,Xa),Xb) = Xb)) # label(fact_def__e__in) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 71 (all X all Xa all Xb all Xc all Xd aa_TPTP_ind_TPTP_ind(scratc1095139763_inj_h(X,Xa,Xb,Xc),Xd) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1318385489_Sigma,X),aa_TPT1424761345TP_ind(aTP_Lamm_ax(Xc),Xd))) # label(fact_def__inj__h) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 72 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc2079867365d_invf(X,Xa),Xb) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1318385489_Sigma,Xa),scratc1303016698d_soft(X,Xa,Xb))) # label(fact_def__invf) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 73 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc215584661ective(X),Xa),Xb)) <-> pp(scratc1489974499_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc31865431ective(X),Xa),Xb),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1335296268ective(X),Xa),Xb))))) # label(fact_def__bijective) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 74 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1335296268ective(X),Xa),Xb)) <-> pp(aa_fun171081125l_bool(scratc1743909425nd_all(Xa),aa_TPT43085870d_bool(scratc186655147_image(X,Xa),Xb))))) # label(fact_def__surjective) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 75 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc1638952256nverse(X,Xa),Xb) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1318385489_Sigma,Xa),aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aTP_Lamm_ay(X),Xa),Xb))) # label(fact_def__inverse) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 76 (all X all Xa all Xb all Xc aa_TPTP_ind_TPTP_ind(scratc1303016698d_soft(X,Xa,Xb),Xc) = scratc1810132655nd_ind(X,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_az(Xa),Xb),Xc))) # label(fact_def__soft) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 77 (all X all Xa scratc2083603896d_tofs(X,Xa) = scratc1813794047bnd_ap) # label(fact_def__tofs) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 78 (all X all Xa all Xb all Xc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc186655147_image(X,Xa),Xb),Xc)) <-> pp(aa_fun171081125l_bool(scratc121255792l_some(X),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_az(Xa),Xb),Xc))))) # label(fact_def__image) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 79 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc31865431ective(X),Xa),Xb)) <-> pp(aa_fun171081125l_bool(scratc1743909425nd_all(X),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bb(X),Xa),Xb))))) # label(fact_def__injective) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 80 (all X all Xa scratc1810132655nd_ind(X,Xa) = scratc1777217848nd_eps(aa_fun1584354236d_bool(aTP_Lamm_bc(X),Xa))) # label(fact_def__ind) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 81 (all X all Xa (pp(aa_fun171081125l_bool(scratc1859701686nd_one(X),Xa)) <-> pp(scratc1489974499_d_and(scratc1923679338_amone(X,Xa),aa_fun171081125l_bool(scratc121255792l_some(X),Xa))))) # label(fact_def__one) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 82 (all X all Xa (pp(scratc1923679338_amone(X,Xa)) <-> pp(aa_fun171081125l_bool(scratc1010594984all_of(aa_TPT43085870d_bool(aTP_Lamm_ak,X)),aa_fun1584354236d_bool(aTP_Lamm_be(X),Xa))))) # label(fact_def__amone) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 83 (all X scratc1863654591d_e_is(X) = fequal_TPTP_ind) # label(fact_def__e__is) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 84 (all X all Xa all Xb (scratc222342210_orec3(X,Xa,Xb) <-> pp(scratc1489974499_d_and(scratc1859964032nd_or3(X,Xa,Xb),scratc1776364997nd_ec3(X,Xa,Xb))))) # label(fact_def__orec3) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 85 (all X all Xa all Xb (pp(scratc1776364997nd_ec3(X,Xa,Xb)) <-> scratc128956236d_and3(scratc1250407610d_l_ec(X,Xa),scratc1250407610d_l_ec(Xa,Xb),scratc1250407610d_l_ec(Xb,X)))) # label(fact_def__ec3) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 86 (all X all Xa all Xb (scratc128956236d_and3(X,Xa,Xb) <-> pp(scratc1489974499_d_and(X,scratc1489974499_d_and(Xa,Xb))))) # label(fact_def__and3) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 87 (all X all Xa all Xb (pp(scratc1859964032nd_or3(X,Xa,Xb)) <-> pp(aa_bool_bool(scratc1251063615d_l_or(X),aa_bool_bool(scratc1251063615d_l_or(Xa),Xb))))) # label(fact_def__or3) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 88 (all X all Xa (pp(aa_fun171081125l_bool(scratc121255792l_some(X),Xa)) <-> pp(scratc1597439679_d_not(aa_fun171081125l_bool(scratc1010594984all_of(aa_TPT43085870d_bool(aTP_Lamm_ak,X)),scratc1851505789nd_non(X,Xa)))))) # label(fact_def__l__some) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 89 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(scratc1851505789nd_non(X,Xa),Xb)) <-> pp(scratc1597439679_d_not(aa_TPTP_ind_bool(Xa,Xb))))) # label(fact_def__non) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 90 (all X scratc1743909425nd_all(X) = scratc1010594984all_of(aa_TPT43085870d_bool(aTP_Lamm_ak,X))) # label(fact_def__all) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 91 (all X all Xa (scratc236632301_l_iff(X,Xa) <-> pp(scratc1489974499_d_and(aa_bool_bool(aa_boo1142376798l_bool(scratc1810067068nd_imp,X),Xa),aa_bool_bool(aa_boo1142376798l_bool(scratc1810067068nd_imp,Xa),X))))) # label(fact_def__l__iff) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 92 (all X all Xa (scratc352870449d_orec(X,Xa) <-> pp(scratc1489974499_d_and(aa_bool_bool(scratc1251063615d_l_or(X),Xa),scratc1250407610d_l_ec(X,Xa))))) # label(fact_def__orec) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 93 (all X scratc1251063615d_l_or(X) = aa_boo1142376798l_bool(scratc1810067068nd_imp,scratc1597439679_d_not(X))) # label(fact_def__l__or) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 94 (all X all Xa (pp(scratc1489974499_d_and(X,Xa)) <-> pp(scratc1597439679_d_not(scratc1250407610d_l_ec(X,Xa))))) # label(fact_def__d__and) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 95 (all X all Xa (pp(scratc1250407610d_l_ec(X,Xa)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1810067068nd_imp,X),scratc1597439679_d_not(Xa))))) # label(fact_def__l__ec) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 96 scratc356551255bvious <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1810067068nd_imp,fFalse),fFalse)) # label(fact_def__obvious) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 97 (all X (scratc1925203342nd_wel(X) <-> pp(scratc1597439679_d_not(scratc1597439679_d_not(X))))) # label(fact_def__wel) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 98 (all X (pp(scratc1597439679_d_not(X)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1810067068nd_imp,X),fFalse)))) # label(fact_def__d__not) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 99 (all X all Xa aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc722450317d_d_Pi,X),Xa) = aa_fun1431113780TP_ind(scratc1373723050_d_Sep(aa_TPTP_ind_TPTP_ind(scratc1316466901_power,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1318385489_Sigma,X),aTP_Lamm_bf(Xa)))),aa_fun1913827119d_bool(aTP_Lamm_bg(X),Xa))) # label(fact_def__d__Pi) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 100 (all X (gg_TPTP_ind(X) -> (pp(aa_TPTP_ind_bool(scratc2097454534pair_p,X)) <-> aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc993274474d_pair,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1813794047bnd_ap,X),scratc1354247301ptyset)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1813794047bnd_ap,X),aa_TPTP_ind_TPTP_ind(scratc93220915rdsucc,scratc1354247301ptyset))) = X))) # label(fact_def__pair__p) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 101 (all X all Xa aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1813794047bnd_ap,X),Xa) = aa_fun277296641TP_ind(scratc215527899eplSep(X,aa_TPT43085870d_bool(aTP_Lamm_bh,Xa)),scratc1444980740_proj1)) # label(fact_def__ap) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 102 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc1874627657etprod(X),Xa) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1318385489_Sigma,X),aTP_Lamm_aj(Xa))) # label(fact_def__setprod) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 103 (all X all Xa aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1318385489_Sigma,X),Xa) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1719687853munion,X),aTP_Lamm_bi(Xa))) # label(fact_def__d__Sigma) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 104 (all X aa_TPTP_ind_TPTP_ind(scratc1444980740_proj1,X) = aa_fun277296641TP_ind(scratc215527899eplSep(X,aTP_Lamm_bj),scratc1390836445_d_Unj)) # label(fact_def__proj1) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 105 (all X aa_TPTP_ind_TPTP_ind(scratc1444980739_proj0,X) = aa_fun277296641TP_ind(scratc215527899eplSep(X,aTP_Lamm_bk),scratc1390836445_d_Unj)) # label(fact_def__proj0) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 106 (all X all Xa aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc993274474d_pair,X),Xa) = aa_TPTP_ind_TPTP_ind(scratc566061304nunion(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc440470431d_repl,X),scratc860058527d_Inj0)),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc440470431d_repl,Xa),scratc860058528d_Inj1))) # label(fact_def__pair) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 107 (all X aa_TPTP_ind_TPTP_ind(scratc860058527d_Inj0,X) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc440470431d_repl,X),scratc860058528d_Inj1)) # label(fact_def__d__Inj0) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 108 (all X (pp(aa_TPTP_ind_bool(scratc241679455_nat_p,X)) <-> (all X1 (pp(aa_TPTP_ind_bool(X1,scratc1354247301ptyset)) -> ((all X2 (gg_TPTP_ind(X2) -> (pp(aa_TPTP_ind_bool(X1,X2)) -> pp(aa_TPTP_ind_bool(X1,aa_TPTP_ind_TPTP_ind(scratc93220915rdsucc,X2)))))) -> pp(aa_TPTP_ind_bool(X1,X))))))) # label(fact_def__nat__p) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 109 (all X aa_TPTP_ind_TPTP_ind(scratc93220915rdsucc,X) = aa_TPTP_ind_TPTP_ind(scratc566061304nunion(X),aa_TPTP_ind_TPTP_ind(scratc34950851d_Sing,X))) # label(fact_def__ordsucc) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 110 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc2090775127In_rec(X),Xa) = scratc1777217848nd_eps(aa_TPT43085870d_bool(scratc369006448_rec_G(X),Xa))) # label(fact_def__d__In__rec) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 111 (all X all Xa all Xb (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc369006448_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(scratc1814318837bnd_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].
% 0.95/1.27 112 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc482346846tminus(X),Xa) = aa_fun1431113780TP_ind(scratc1373723050_d_Sep(X),aa_TPT43085870d_bool(aTP_Lamm_bn,Xa))) # label(fact_def__setminus) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 113 (all X all Xa scratc215527899eplSep(X,Xa) = aa_TPT494704832TP_ind(scratc440470431d_repl,aa_fun1431113780TP_ind(scratc1373723050_d_Sep(X),Xa))) # label(fact_def__d__ReplSep) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 114 (all X all Xa aa_fun1431113780TP_ind(scratc1373723050_d_Sep(X),Xa) = aa_TPTP_ind_TPTP_ind(scratc1814318829bnd_if(fEx_TPTP_ind(cOMBS_2003118649l_bool(cOMBB_658106424TP_ind(fconj,aa_TPT43085870d_bool(cOMBC_1555011498d_bool(scratc1814318837bnd_in),X)),Xa)),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc440470431d_repl,X),aa_fun1235454963TP_ind(aTP_Lamm_bo(X),Xa))),scratc1354247301ptyset)) # label(fact_def__d__Sep) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 115 (all X all Xa aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1719687853munion,X),Xa) = aa_TPTP_ind_TPTP_ind(scratc1823728767_union,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc440470431d_repl,X),Xa))) # label(fact_def__famunion) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 116 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc566061304nunion(X),Xa) = aa_TPTP_ind_TPTP_ind(scratc1823728767_union,aa_TPTP_ind_TPTP_ind(scratc1212871867_UPair(X),Xa))) # label(fact_def__binunion) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 117 (all X aa_TPTP_ind_TPTP_ind(scratc34950851d_Sing,X) = aa_TPTP_ind_TPTP_ind(scratc1212871867_UPair(X),X)) # label(fact_def__d__Sing) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 118 (all X all Xa aa_TPTP_ind_TPTP_ind(scratc1212871867_UPair(X),Xa) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc440470431d_repl,aa_TPTP_ind_TPTP_ind(scratc1316466901_power,aa_TPTP_ind_TPTP_ind(scratc1316466901_power,scratc1354247301ptyset))),aa_TPT1424761345TP_ind(aTP_Lamm_bp(X),Xa))) # label(fact_def__d__UPair) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 119 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1849013027nd_nIn,X),Xa)) <-> -pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_in,X),Xa)))) # label(fact_def__nIn) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 120 (all X all Xa all Xb aa_TPTP_ind_TPTP_ind(scratc1814318829bnd_if(X,Xa),Xb) = scratc1777217848nd_eps(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bq(X),Xa),Xb))) # label(fact_def__if) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 121 (all X (pp(aa_TPTP_ind_bool(scratc667530348closed,X)) <-> pp(aa_TPTP_ind_bool(scratc682601767closed,X)) & pp(aa_TPTP_ind_bool(scratc847334781closed,X)) & pp(aa_TPTP_ind_bool(scratc891303183closed,X)))) # label(fact_def__d__ZF__closed) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 122 (all X (pp(aa_TPTP_ind_bool(scratc891303183closed,X)) <-> (all X1 (gg_TPTP_ind(X1) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_in,X1),X)) -> (all X2 ((all X3 (gg_TPTP_ind(X3) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_in,X3),X1)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_in,aa_TPTP_ind_TPTP_ind(X2,X3)),X))))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_in,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc440470431d_repl,X1),X2)),X))))))))) # label(fact_def__d__Repl__closed) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 123 (all X (pp(aa_TPTP_ind_bool(scratc847334781closed,X)) <-> (all X1 (gg_TPTP_ind(X1) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_in,X1),X)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_in,aa_TPTP_ind_TPTP_ind(scratc1316466901_power,X1)),X))))))) # label(fact_def__d__Power__closed) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 124 (all X (pp(aa_TPTP_ind_bool(scratc682601767closed,X)) <-> (all X1 (gg_TPTP_ind(X1) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_in,X1),X)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_in,aa_TPTP_ind_TPTP_ind(scratc1823728767_union,X1)),X))))))) # label(fact_def__d__Union__closed) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 125 (all X all Xa (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc133301733d_Subq,X),Xa)) <-> (all X2 (gg_TPTP_ind(X2) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_in,X2),X)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_in,X2),Xa))))))) # label(fact_def__d__Subq) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 126 (all X all Xa (pp(aa_fun171081125l_bool(scratc1010594984all_of(X),Xa)) <-> (all X2 (gg_TPTP_ind(X2) -> (scratc355035249_is_of(X2,X) -> pp(aa_TPTP_ind_bool(Xa,X2))))))) # label(fact_def__all__of) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 127 (all X all Xa (scratc355035249_is_of(X,Xa) <-> pp(aa_TPTP_ind_bool(Xa,X)))) # label(fact_def__is__of) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 128 (all X0 pp(aa_fun171081125l_bool(scratc1010594984all_of(aa_TPT43085870d_bool(aTP_Lamm_fh,X0)),aa_TPT43085870d_bool(aTP_Lamm_fj,X0)))) # label(fact_isseti) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 129 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1010594984all_of(aa_TPT43085870d_bool(aTP_Lamm_ak,X0)),aa_fun1584354236d_bool(aTP_Lamm_fk(X0),X12)))) # label(fact_estie) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 130 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1010594984all_of(aa_TPT43085870d_bool(aTP_Lamm_ak,X0)),aa_fun1584354236d_bool(aTP_Lamm_fl(X0),X12)))) # label(fact_estii) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 131 (all X0 all X12 scratc355035249_is_of(aa_fun1431113780TP_ind(scratc1373723050_d_Sep(X0),X12),aa_TPT43085870d_bool(aTP_Lamm_fh,X0))) # label(fact_setof__p) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 132 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1010594984all_of(aa_TPT43085870d_bool(aTP_Lamm_ak,X0)),aa_TPT43085870d_bool(aTP_Lamm_fn(X0),X12)))) # label(fact_secondis1) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 133 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1010594984all_of(aa_TPT43085870d_bool(aTP_Lamm_ak,X0)),aa_TPT43085870d_bool(aTP_Lamm_fp(X0),X12)))) # label(fact_firstis1) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 134 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1010594984all_of(aa_TPT43085870d_bool(aTP_Lamm_fq(X0),X12)),aa_TPT43085870d_bool(aTP_Lamm_fr(X0),X12)))) # label(fact_pairis1) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 135 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1010594984all_of(aa_TPT43085870d_bool(aTP_Lamm_fq(X0),X12)),aa_TPT43085870d_bool(aTP_Lamm_fs(X0),X12)))) # label(fact_second__p) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 136 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1010594984all_of(aa_TPT43085870d_bool(aTP_Lamm_fq(X0),X12)),aa_TPT43085870d_bool(aTP_Lamm_ft(X0),X12)))) # label(fact_first__p) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 137 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1010594984all_of(aa_TPT43085870d_bool(aTP_Lamm_ak,X0)),aa_TPT43085870d_bool(aTP_Lamm_fv(X0),X12)))) # label(fact_e__pair__p) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 138 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1010594984all_of(aa_TPT43085870d_bool(aTP_Lamm_ak,X0)),aa_fun1584354236d_bool(aTP_Lamm_fw(X0),X12)))) # label(fact_otax2) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 139 (all X0 all X12 pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc31865431ective(aa_fun1431113780TP_ind(scratc1373723050_d_Sep(X0),X12)),X0),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1318385489_Sigma,aa_fun1431113780TP_ind(scratc1373723050_d_Sep(X0),X12)),scratc1863654586d_e_in(X0,X12))))) # label(fact_otax1) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 140 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1010594984all_of(aa_fun1584354236d_bool(aTP_Lamm_fx(X0),X12)),aa_fun1584354236d_bool(aTP_Lamm_fy(X0),X12)))) # label(fact_e__inp) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 141 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1010594984all_of(aa_fun1584354236d_bool(aTP_Lamm_fx(X0),X12)),aa_fun1584354236d_bool(aTP_Lamm_fz(X0),X12)))) # label(fact_e__in__p) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 142 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1010594984all_of(aa_TPT43085870d_bool(aTP_Lamm_ga(X0),X12)),aa_TPT43085870d_bool(aTP_Lamm_gd(X0),X12)))) # label(fact_e__fisi) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 143 (all X0 all X12 (pp(aa_fun171081125l_bool(scratc1859701686nd_one(X0),X12)) -> pp(aa_TPTP_ind_bool(X12,scratc1810132655nd_ind(X0,X12))))) # label(fact_oneax) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.27 144 (all X0 all X12 (pp(aa_fun171081125l_bool(scratc1859701686nd_one(X0),X12)) -> scratc355035249_is_of(scratc1810132655nd_ind(X0,X12),aa_TPT43085870d_bool(aTP_Lamm_ak,X0)))) # label(fact_ind__p) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 145 (all X0 all X12 pp(aa_fun171081125l_bool(scratc1010594984all_of(aa_TPT43085870d_bool(aTP_Lamm_ak,X0)),aa_fun1584354236d_bool(aTP_Lamm_gf(X0),X12)))) # label(fact_e__isp) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 146 (all X0 pp(aa_fun171081125l_bool(scratc1010594984all_of(aa_TPT43085870d_bool(aTP_Lamm_ak,X0)),aa_TPT43085870d_bool(aTP_Lamm_gg,X0)))) # label(fact_refis) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 147 (all X0 (scratc1925203342nd_wel(X0) -> pp(X0))) # label(fact_l__et) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 148 (all X0 all X12 all X22 all X32 (pp(X0) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_in,X12),aa_TPTP_ind_TPTP_ind(scratc1814318829bnd_if(X0,X22),X32))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_in,X12),X22))))) # label(fact_k__If__In__then__E) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 149 (all X0 all X12 all X22 ((pp(X0) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_in,X12),X22))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_in,aa_TPTP_ind_TPTP_ind(scratc1814318829bnd_if(X0,X12),scratc1354247301ptyset)),aa_TPTP_ind_TPTP_ind(scratc1814318829bnd_if(X0,X22),aa_TPTP_ind_TPTP_ind(scratc93220915rdsucc,scratc1354247301ptyset)))))) # label(fact_k__If__In__01) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 150 (all X0 all X12 all X22 ((all X33 (gg_TPTP_ind(X33) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_in,X33),X0)) -> aa_TPTP_ind_TPTP_ind(X12,X33) = aa_TPTP_ind_TPTP_ind(X22,X33)))) -> aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1318385489_Sigma,X0),X12) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1318385489_Sigma,X0),X22))) # label(fact_xi__ext) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 151 (all X0 all X12 all X22 (gg_TPTP_ind(X22) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc722450317d_d_Pi,X0),X12))) -> (all X32 (gg_TPTP_ind(X32) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_in,X32),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc722450317d_d_Pi,X0),X12))) -> ((all X42 (gg_TPTP_ind(X42) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_in,X42),X0)) -> aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1813794047bnd_ap,X22),X42) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1813794047bnd_ap,X32),X42)))) -> X22 = X32))))))) # label(fact_k__Pi__ext) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 152 (all X0 all X12 all X22 all X32 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc722450317d_d_Pi,X0),X12))) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_in,X32),X0)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_in,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1813794047bnd_ap,X22),X32)),aa_TPTP_ind_TPTP_ind(X12,X32)))))) # label(fact_ap__Pi) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 153 (all X0 all X12 all X22 ((all X33 (gg_TPTP_ind(X33) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_in,X33),X0)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_in,aa_TPTP_ind_TPTP_ind(X22,X33)),aa_TPTP_ind_TPTP_ind(X12,X33)))))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_in,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1318385489_Sigma,X0),X22)),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc722450317d_d_Pi,X0),X12))))) # label(fact_lam__Pi) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 154 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_in,X22),X0)) -> aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1813794047bnd_ap,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1318385489_Sigma,X0),X12)),X22) = aa_TPTP_ind_TPTP_ind(X12,X22))) # label(fact_beta) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 155 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1318385489_Sigma,X0),X12))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_in,aa_TPTP_ind_TPTP_ind(scratc1444980740_proj1,X22)),aa_TPTP_ind_TPTP_ind(X12,aa_TPTP_ind_TPTP_ind(scratc1444980739_proj0,X22)))))) # label(fact_proj1__Sigma) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 156 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1318385489_Sigma,X0),X12))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_in,aa_TPTP_ind_TPTP_ind(scratc1444980739_proj0,X22)),X0)))) # label(fact_proj0__Sigma) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 157 (all X0 all X12 all X22 (gg_TPTP_ind(X22) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1318385489_Sigma,X0),X12))) -> aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc993274474d_pair,aa_TPTP_ind_TPTP_ind(scratc1444980739_proj0,X22)),aa_TPTP_ind_TPTP_ind(scratc1444980740_proj1,X22)) = X22))) # label(fact_proj__Sigma__eta) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 158 (all X0 all X12 all X22 (gg_TPTP_ind(X22) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1318385489_Sigma,X0),X12))) -> aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc993274474d_pair,aa_TPTP_ind_TPTP_ind(scratc1444980739_proj0,X22)),aa_TPTP_ind_TPTP_ind(scratc1444980740_proj1,X22)) = X22 & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_in,aa_TPTP_ind_TPTP_ind(scratc1444980739_proj0,X22)),X0)) & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_in,aa_TPTP_ind_TPTP_ind(scratc1444980740_proj1,X22)),aa_TPTP_ind_TPTP_ind(X12,aa_TPTP_ind_TPTP_ind(scratc1444980739_proj0,X22))))))) # label(fact_k__Sigma__eta__proj0__proj1) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 159 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_in,X22),X0)) -> (all X32 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_in,X32),aa_TPTP_ind_TPTP_ind(X12,X22))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_in,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc993274474d_pair,X22),X32)),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1318385489_Sigma,X0),X12))))))) # label(fact_pair__Sigma) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 160 (all X0 all X12 (gg_TPTP_ind(X12) -> aa_TPTP_ind_TPTP_ind(scratc1444980740_proj1,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc993274474d_pair,X0),X12)) = X12)) # label(fact_proj1__pair__eq) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 161 (all X0 all X12 (gg_TPTP_ind(X0) -> aa_TPTP_ind_TPTP_ind(scratc1444980739_proj0,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc993274474d_pair,X0),X12)) = X0)) # label(fact_proj0__pair__eq) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 162 (all X0 (pp(aa_TPTP_ind_bool(scratc241679455_nat_p,X0)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_in,X0),scratc614635953_omega)))) # label(fact_nat__p__omega) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 163 (all X0 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_in,X0),scratc614635953_omega)) -> pp(aa_TPTP_ind_bool(scratc241679455_nat_p,X0)))) # label(fact_omega__nat__p) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 164 (all X0 (gg_TPTP_ind(X0) -> (pp(aa_TPTP_ind_bool(scratc241679455_nat_p,X0)) -> X0 = scratc1354247301ptyset | (exists X13 (gg_TPTP_ind(X13) & pp(aa_TPTP_ind_bool(scratc241679455_nat_p,X13)) & X0 = aa_TPTP_ind_TPTP_ind(scratc93220915rdsucc,X13)))))) # label(fact_nat__inv) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 165 (all X0 (pp(aa_TPTP_ind_bool(X0,scratc1354247301ptyset)) -> ((all X13 (gg_TPTP_ind(X13) -> (pp(aa_TPTP_ind_bool(scratc241679455_nat_p,X13)) -> (pp(aa_TPTP_ind_bool(X0,X13)) -> pp(aa_TPTP_ind_bool(X0,aa_TPTP_ind_TPTP_ind(scratc93220915rdsucc,X13))))))) -> (all X12 (pp(aa_TPTP_ind_bool(scratc241679455_nat_p,X12)) -> pp(aa_TPTP_ind_bool(X0,X12))))))) # label(fact_nat__ind) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 166 (all X0 (pp(aa_TPTP_ind_bool(scratc241679455_nat_p,X0)) -> pp(aa_TPTP_ind_bool(scratc241679455_nat_p,aa_TPTP_ind_TPTP_ind(scratc93220915rdsucc,X0))))) # label(fact_nat__ordsucc) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 167 (all X0 all X12 (gg_TPTP_ind(X0) & gg_TPTP_ind(X12) -> (aa_TPTP_ind_TPTP_ind(scratc93220915rdsucc,X0) = aa_TPTP_ind_TPTP_ind(scratc93220915rdsucc,X12) -> X0 = X12))) # label(fact_ordsucc__inj) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 168 (all X0 aa_TPTP_ind_TPTP_ind(scratc93220915rdsucc,X0) != scratc1354247301ptyset) # label(fact_neq__ordsucc__0) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 169 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_in,X22),aa_fun1431113780TP_ind(scratc1373723050_d_Sep(X0),X12))) -> pp(aa_TPTP_ind_bool(X12,X22)))) # label(fact_k__SepE2) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 170 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_in,X22),aa_fun1431113780TP_ind(scratc1373723050_d_Sep(X0),X12))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_in,X22),X0)))) # label(fact_k__SepE1) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 171 (all X0 all X12 all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_in,X22),X0)) -> (pp(aa_TPTP_ind_bool(X12,X22)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_in,X22),aa_fun1431113780TP_ind(scratc1373723050_d_Sep(X0),X12)))))) # label(fact_k__SepI) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 172 (all X0 pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_in,X0),aa_TPTP_ind_TPTP_ind(scratc1316466901_power,X0)))) # label(fact_k__Self__In__Power) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 173 (all X0 all X12 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc133301733d_Subq,X12),X0)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_in,X12),aa_TPTP_ind_TPTP_ind(scratc1316466901_power,X0))))) # label(fact_k__PowerI) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 174 (all X0 all X12 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_in,X12),aa_TPTP_ind_TPTP_ind(scratc1316466901_power,X0))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc133301733d_Subq,X12),X0)))) # label(fact_k__PowerE) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 175 (all X0 all X12 all X22 (gg_TPTP_ind(X12) & gg_TPTP_ind(X22) -> aa_TPTP_ind_TPTP_ind(scratc1814318829bnd_if(X0,X12),X22) = X12 | aa_TPTP_ind_TPTP_ind(scratc1814318829bnd_if(X0,X12),X22) = X22)) # label(fact_if__i__or) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 176 (all X0 all X12 all X22 (gg_TPTP_ind(X12) -> (pp(X0) -> aa_TPTP_ind_TPTP_ind(scratc1814318829bnd_if(X0,X12),X22) = X12))) # label(fact_if__i__1) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 177 (all X0 all X12 all X22 (gg_TPTP_ind(X22) -> (-pp(X0) -> aa_TPTP_ind_TPTP_ind(scratc1814318829bnd_if(X0,X12),X22) = X22))) # label(fact_if__i__0) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 178 (all X0 all X12 all X22 (gg_TPTP_ind(X12) & gg_TPTP_ind(X22) -> pp(X0) & aa_TPTP_ind_TPTP_ind(scratc1814318829bnd_if(X0,X12),X22) = X12 | -pp(X0) & aa_TPTP_ind_TPTP_ind(scratc1814318829bnd_if(X0,X12),X22) = X22)) # label(fact_if__i__correct) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 179 (all X0 pp(aa_TPTP_ind_bool(scratc667530348closed,aa_TPTP_ind_TPTP_ind(scratc674736237univof,X0)))) # label(fact_k__UnivOf__ZF__closed) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 180 (all X0 pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_in,X0),aa_TPTP_ind_TPTP_ind(scratc674736237univof,X0)))) # label(fact_k__UnivOf__In) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 181 (all X0 all X12 all X22 (gg_TPTP_ind(X22) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_in,X22),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc440470431d_repl,X0),X12))) <-> (exists X3 (gg_TPTP_ind(X3) & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_in,X3),X0)) & X22 = aa_TPTP_ind_TPTP_ind(X12,X3)))))) # label(fact_k__ReplEq) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 182 (all X0 all X12 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_in,X12),aa_TPTP_ind_TPTP_ind(scratc1316466901_power,X0))) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc133301733d_Subq,X12),X0)))) # label(fact_k__PowerEq) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 183 (all X0 all X12 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_in,X12),aa_TPTP_ind_TPTP_ind(scratc1823728767_union,X0))) <-> (exists X2 (gg_TPTP_ind(X2) & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_in,X12),X2)) & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_in,X2),X0)))))) # label(fact_k__UnionEq) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 184 -(exists X0 pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_in,X0),scratc1354247301ptyset))) # label(fact_k__EmptyAx) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 185 (all X0 ((all X13 (gg_TPTP_ind(X13) -> ((all X22 (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_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].
% 0.95/1.28 186 (all X0 all X12 (gg_TPTP_ind(X0) & gg_TPTP_ind(X12) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc133301733d_Subq,X0),X12)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc133301733d_Subq,X12),X0)) -> X0 = X12)))) # label(fact_set__ext) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 187 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ew,Uu)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1851112200nd_nis,Uu),scratc1562404659nd_n_1)) -> pp(aa_fun171081125l_bool(scratc865080434n_some,aa_TPT43085870d_bool(aTP_Lamm_ag,Uu)))))) # label(fact_ATP_Olambda__1) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 188 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ev,Uu)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1851112200nd_nis,Uu),scratc1562404659nd_n_1)) -> pp(aa_fun171081125l_bool(scratc1030740584_n_one,aa_TPT43085870d_bool(aTP_Lamm_ag,Uu)))))) # label(fact_ATP_Olambda__2) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 189 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_es,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1382314952d_n_is,aa_TPTP_ind_TPTP_ind(scratc1382774138d_n_pl(Uu),scratc1562404659nd_n_1)),aa_TPTP_ind_TPTP_ind(scratc93220915rdsucc,Uu))))) # label(fact_ATP_Olambda__3) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 190 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ep,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1382314952d_n_is,aa_TPTP_ind_TPTP_ind(scratc1382774138d_n_pl(scratc1562404659nd_n_1),Uu)),aa_TPTP_ind_TPTP_ind(scratc93220915rdsucc,Uu))))) # label(fact_ATP_Olambda__4) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 191 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_eu,Uu)) <-> pp(aa_fun171081125l_bool(scratc1859701686nd_one(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc722450317d_d_Pi,scratc1850587409nd_nat),aTP_Lamm_ad)),aa_TPT43085870d_bool(aTP_Lamm_et,Uu))))) # label(fact_ATP_Olambda__5) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 192 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fc,Uu)) <-> (pp(aa_TPTP_ind_bool(scratc1460097471_cond1,Uu)) -> (pp(aa_TPTP_ind_bool(scratc1460097472_cond2,Uu)) -> pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fb,Uu))))))) # label(fact_ATP_Olambda__6) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 193 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_em,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1382314952d_n_is,aa_TPTP_ind_TPTP_ind(scratc93220915rdsucc,Uu)),aa_TPTP_ind_TPTP_ind(scratc1382774138d_n_pl(Uu),scratc1562404659nd_n_1))))) # label(fact_ATP_Olambda__7) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 194 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ej,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1382314952d_n_is,aa_TPTP_ind_TPTP_ind(scratc93220915rdsucc,Uu)),aa_TPTP_ind_TPTP_ind(scratc1382774138d_n_pl(scratc1562404659nd_n_1),Uu))))) # label(fact_ATP_Olambda__8) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 195 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ex,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1851112200nd_nis,aa_TPTP_ind_TPTP_ind(scratc93220915rdsucc,Uu)),Uu)))) # label(fact_ATP_Olambda__9) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 196 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fg,Uu)) <-> scratc355035249_is_of(aa_TPTP_ind_TPTP_ind(scratc93220915rdsucc,Uu),aTP_Lamm_a))) # label(fact_ATP_Olambda__10) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 197 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ff,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1851112200nd_nis,aa_TPTP_ind_TPTP_ind(scratc93220915rdsucc,Uu)),scratc1562404659nd_n_1)))) # label(fact_ATP_Olambda__11) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 198 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fa,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_in,Uu),aa_TPTP_ind_TPTP_ind(scratc1316466901_power,scratc1850587409nd_nat))))) # label(fact_ATP_Olambda__12) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 199 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_a,Uu)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_in,Uu),scratc1850587409nd_nat)))) # label(fact_ATP_Olambda__13) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 200 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_fe,Uu)) <-> pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fd,Uu))))) # label(fact_ATP_Olambda__14) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 201 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ez,Uu)) <-> pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ey,Uu))))) # label(fact_ATP_Olambda__15) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 202 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_er,Uu)) <-> pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_eq,Uu))))) # label(fact_ATP_Olambda__16) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 203 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_eo,Uu)) <-> pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_en,Uu))))) # label(fact_ATP_Olambda__17) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 204 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_el,Uu)) <-> pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ek,Uu))))) # label(fact_ATP_Olambda__18) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 205 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ei,Uu)) <-> pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_eh,Uu))))) # label(fact_ATP_Olambda__19) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 206 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_eg,Uu)) <-> pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ef,Uu))))) # label(fact_ATP_Olambda__20) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 207 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ed,Uu)) <-> pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ec,Uu))))) # label(fact_ATP_Olambda__21) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 208 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_eb,Uu)) <-> pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ea,Uu))))) # label(fact_ATP_Olambda__22) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 209 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dz,Uu)) <-> pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dy,Uu))))) # label(fact_ATP_Olambda__23) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 210 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dw,Uu)) <-> pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dv,Uu))))) # label(fact_ATP_Olambda__24) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 211 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dt,Uu)) <-> pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ds,Uu))))) # label(fact_ATP_Olambda__25) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 212 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dr,Uu)) <-> pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dq,Uu))))) # label(fact_ATP_Olambda__26) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 213 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dn,Uu)) <-> pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dm,Uu))))) # label(fact_ATP_Olambda__27) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 214 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dl,Uu)) <-> pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dk,Uu))))) # label(fact_ATP_Olambda__28) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 215 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dj,Uu)) <-> pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_di,Uu))))) # label(fact_ATP_Olambda__29) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 216 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dh,Uu)) <-> pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dg,Uu))))) # label(fact_ATP_Olambda__30) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 217 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_df,Uu)) <-> pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_de,Uu))))) # label(fact_ATP_Olambda__31) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 218 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_dd,Uu)) <-> pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dc,Uu))))) # label(fact_ATP_Olambda__32) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 219 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_db,Uu)) <-> pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_da,Uu))))) # label(fact_ATP_Olambda__33) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 220 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cz,Uu)) <-> pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cy,Uu))))) # label(fact_ATP_Olambda__34) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 221 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cx,Uu)) <-> pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cw,Uu))))) # label(fact_ATP_Olambda__35) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 222 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cv,Uu)) <-> pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cu,Uu))))) # label(fact_ATP_Olambda__36) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 223 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ct,Uu)) <-> pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cs,Uu))))) # label(fact_ATP_Olambda__37) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 224 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cr,Uu)) <-> pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cq,Uu))))) # label(fact_ATP_Olambda__38) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 225 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cp,Uu)) <-> pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_co,Uu))))) # label(fact_ATP_Olambda__39) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 226 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cn,Uu)) <-> pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cm,Uu))))) # label(fact_ATP_Olambda__40) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 227 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cl,Uu)) <-> pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ck,Uu))))) # label(fact_ATP_Olambda__41) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 228 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cj,Uu)) <-> pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ci,Uu))))) # label(fact_ATP_Olambda__42) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 229 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ch,Uu)) <-> pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cg,Uu))))) # label(fact_ATP_Olambda__43) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 230 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cf,Uu)) <-> pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ce,Uu))))) # label(fact_ATP_Olambda__44) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 231 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_cc,Uu)) <-> pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cb,Uu))))) # label(fact_ATP_Olambda__45) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 232 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_bz,Uu)) <-> pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_by,Uu))))) # label(fact_ATP_Olambda__46) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 233 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_bw,Uu)) <-> pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bv,Uu))))) # label(fact_ATP_Olambda__47) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 234 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_bt,Uu)) <-> pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bs,Uu))))) # label(fact_ATP_Olambda__48) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 235 (all Uu (pp(aa_TPTP_ind_bool(aTP_Lamm_ac,Uu)) <-> pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,Uu))))) # label(fact_ATP_Olambda__49) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 236 (all Uu aa_TPT494704832TP_ind(aTP_Lamm_bl,Uu) = aa_TPT494704832TP_ind(scratc440470431d_repl,aa_TPTP_ind_TPTP_ind(scratc482346846tminus(Uu),aa_TPTP_ind_TPTP_ind(scratc34950851d_Sing,scratc1354247301ptyset)))) # label(fact_ATP_Olambda__50) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 237 (all Uu (gg_TPTP_ind(Uu) -> (pp(aa_TPTP_ind_bool(aTP_Lamm_ai,Uu)) <-> Uu != scratc1354247301ptyset))) # label(fact_ATP_Olambda__51) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 238 (all Uu (gg_TPTP_ind(Uu) -> (pp(aa_TPTP_ind_bool(aTP_Lamm_bj,Uu)) <-> (exists X2 (gg_TPTP_ind(X2) & aa_TPTP_ind_TPTP_ind(scratc860058528d_Inj1,X2) = Uu))))) # label(fact_ATP_Olambda__52) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 239 (all Uu (gg_TPTP_ind(Uu) -> (pp(aa_TPTP_ind_bool(aTP_Lamm_bk,Uu)) <-> (exists X2 (gg_TPTP_ind(X2) & aa_TPTP_ind_TPTP_ind(scratc860058527d_Inj0,X2) = Uu))))) # label(fact_ATP_Olambda__53) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 240 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_di,Uu),Uua)) <-> scratc222342210_orec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1382314952d_n_is,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1809804665nd_iii,Uu),Uua)))) # label(fact_ATP_Olambda__54) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 241 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dg,Uu),Uua)) <-> pp(scratc1859964032nd_or3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1382314952d_n_is,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1809804665nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__55) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 242 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_de,Uu),Uua)) <-> pp(scratc1776364997nd_ec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1382314952d_n_is,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,Uu),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1809804665nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__56) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 243 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dq,Uu),Uua)) <-> scratc222342210_orec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1382314952d_n_is,Uu),Uua),aa_fun171081125l_bool(scratc865080434n_some,aa_TPT43085870d_bool(aTP_Lamm_do(Uu),Uua)),aa_fun171081125l_bool(scratc865080434n_some,aa_TPT43085870d_bool(aTP_Lamm_dp(Uu),Uua))))) # label(fact_ATP_Olambda__57) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 244 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dm,Uu),Uua)) <-> pp(scratc1859964032nd_or3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1382314952d_n_is,Uu),Uua),aa_fun171081125l_bool(scratc865080434n_some,aa_TPT43085870d_bool(scratc488660600ffprop(Uu),Uua)),aa_fun171081125l_bool(scratc865080434n_some,aa_TPT43085870d_bool(scratc488660600ffprop(Uua),Uu)))))) # label(fact_ATP_Olambda__58) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 245 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dk,Uu),Uua)) <-> pp(scratc1776364997nd_ec3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1382314952d_n_is,Uu),Uua),aa_fun171081125l_bool(scratc865080434n_some,aa_TPT43085870d_bool(scratc488660600ffprop(Uu),Uua)),aa_fun171081125l_bool(scratc865080434n_some,aa_TPT43085870d_bool(scratc488660600ffprop(Uua),Uu)))))) # label(fact_ATP_Olambda__59) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 246 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gg,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1863654591d_e_is(Uu),Uua),Uua)))) # label(fact_ATP_Olambda__60) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 247 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_et,Uu),Uua)) <-> pp(scratc1489974499_d_and(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1382314952d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1813794047bnd_ap,Uua),scratc1562404659nd_n_1)),aa_TPTP_ind_TPTP_ind(scratc93220915rdsucc,Uu)),aa_fun171081125l_bool(scratc914948323_n_all,aa_TPT43085870d_bool(aTP_Lamm_af,Uua)))))) # label(fact_ATP_Olambda__61) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 248 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fd,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1382314952d_n_is,aa_TPTP_ind_TPTP_ind(scratc93220915rdsucc,Uu)),aa_TPTP_ind_TPTP_ind(scratc93220915rdsucc,Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1382314952d_n_is,Uu),Uua))))) # label(fact_ATP_Olambda__62) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 249 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_en,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1382314952d_n_is,aa_TPTP_ind_TPTP_ind(scratc1382774138d_n_pl(aa_TPTP_ind_TPTP_ind(scratc93220915rdsucc,Uu)),Uua)),aa_TPTP_ind_TPTP_ind(scratc93220915rdsucc,aa_TPTP_ind_TPTP_ind(scratc1382774138d_n_pl(Uu),Uua)))))) # label(fact_ATP_Olambda__63) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 250 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_eq,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1382314952d_n_is,aa_TPTP_ind_TPTP_ind(scratc1382774138d_n_pl(Uu),aa_TPTP_ind_TPTP_ind(scratc93220915rdsucc,Uua))),aa_TPTP_ind_TPTP_ind(scratc93220915rdsucc,aa_TPTP_ind_TPTP_ind(scratc1382774138d_n_pl(Uu),Uua)))))) # label(fact_ATP_Olambda__64) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 251 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_af,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1382314952d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1813794047bnd_ap,Uu),aa_TPTP_ind_TPTP_ind(scratc93220915rdsucc,Uua))),aa_TPTP_ind_TPTP_ind(scratc93220915rdsucc,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1813794047bnd_ap,Uu),Uua)))))) # label(fact_ATP_Olambda__65) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 252 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ey,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1851112200nd_nis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1851112200nd_nis,aa_TPTP_ind_TPTP_ind(scratc93220915rdsucc,Uu)),aa_TPTP_ind_TPTP_ind(scratc93220915rdsucc,Uua)))))) # label(fact_ATP_Olambda__66) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 253 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ah,Uu),Uua)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1810067068nd_imp,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1382314947d_n_in,Uua),Uu)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1382314947d_n_in,aa_TPTP_ind_TPTP_ind(scratc93220915rdsucc,Uua)),Uu))))) # label(fact_ATP_Olambda__67) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 254 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ec,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1382314952d_n_is,aa_TPTP_ind_TPTP_ind(scratc1382774138d_n_pl(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc1382774138d_n_pl(Uua),Uu))))) # label(fact_ATP_Olambda__68) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 255 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dc,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1809804665nd_iii,Uua),Uu))))) # label(fact_ATP_Olambda__69) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 256 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cy,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1427721007moreis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1293737395lessis,Uua),Uu))))) # label(fact_ATP_Olambda__70) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 257 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cw,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1293737395lessis,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1427721007moreis,Uua),Uu))))) # label(fact_ATP_Olambda__71) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 258 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_da,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1809804665nd_iii,Uu),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,Uua),Uu))))) # label(fact_ATP_Olambda__72) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 259 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cm,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,Uu),Uua)) -> pp(scratc1597439679_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1293737395lessis,Uu),Uua)))))) # label(fact_ATP_Olambda__73) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 260 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cu,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1427721007moreis,Uu),Uua)) -> pp(scratc1597439679_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1809804665nd_iii,Uu),Uua)))))) # label(fact_ATP_Olambda__74) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 261 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cs,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1293737395lessis,Uu),Uua)) -> pp(scratc1597439679_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,Uu),Uua)))))) # label(fact_ATP_Olambda__75) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 262 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ck,Uu),Uua)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1809804665nd_iii,Uu),Uua)) -> pp(scratc1597439679_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1427721007moreis,Uu),Uua)))))) # label(fact_ATP_Olambda__76) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 263 (all Uu all Uua aa_TPTP_ind_TPTP_ind(aTP_Lamm_bi(Uu),Uua) = aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc440470431d_repl,aa_TPTP_ind_TPTP_ind(Uu,Uua)),aa_TPT1424761345TP_ind(scratc993274474d_pair,Uua))) # label(fact_ATP_Olambda__77) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 264 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fj,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1010594984all_of(aa_TPT43085870d_bool(aTP_Lamm_fh,Uu)),aa_TPT43085870d_bool(aTP_Lamm_fi(Uu),Uua))))) # label(fact_ATP_Olambda__78) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 265 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_eh,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1382314952d_n_is,aa_TPTP_ind_TPTP_ind(scratc93220915rdsucc,aa_TPTP_ind_TPTP_ind(scratc1382774138d_n_pl(Uu),Uua))),aa_TPTP_ind_TPTP_ind(scratc1382774138d_n_pl(aa_TPTP_ind_TPTP_ind(scratc93220915rdsucc,Uu)),Uua))))) # label(fact_ATP_Olambda__79) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 266 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ek,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1382314952d_n_is,aa_TPTP_ind_TPTP_ind(scratc93220915rdsucc,aa_TPTP_ind_TPTP_ind(scratc1382774138d_n_pl(Uu),Uua))),aa_TPTP_ind_TPTP_ind(scratc1382774138d_n_pl(Uu),aa_TPTP_ind_TPTP_ind(scratc93220915rdsucc,Uua)))))) # label(fact_ATP_Olambda__80) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 267 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cq,Uu),Uua)) <-> (pp(scratc1597439679_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1293737395lessis,Uu),Uua))))) # label(fact_ATP_Olambda__81) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 268 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ci,Uu),Uua)) <-> (pp(scratc1597439679_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1427721007moreis,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1809804665nd_iii,Uu),Uua))))) # label(fact_ATP_Olambda__82) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 269 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cg,Uu),Uua)) <-> (pp(scratc1597439679_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1293737395lessis,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,Uu),Uua))))) # label(fact_ATP_Olambda__83) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 270 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_co,Uu),Uua)) <-> (pp(scratc1597439679_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1809804665nd_iii,Uu),Uua))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1427721007moreis,Uu),Uua))))) # label(fact_ATP_Olambda__84) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 271 (all Uu all Uua aa_fun277296641TP_ind(aa_TPT494704832TP_ind(aTP_Lamm_bm,Uu),Uua) = aa_TPTP_ind_TPTP_ind(scratc566061304nunion(aa_TPTP_ind_TPTP_ind(scratc34950851d_Sing,scratc1354247301ptyset)),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc440470431d_repl,Uu),Uua))) # label(fact_ATP_Olambda__85) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 272 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ea,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1851112200nd_nis,Uua),aa_TPTP_ind_TPTP_ind(scratc1382774138d_n_pl(Uu),Uua))))) # label(fact_ATP_Olambda__86) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 273 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ag,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1382314952d_n_is,Uu),aa_TPTP_ind_TPTP_ind(scratc93220915rdsucc,Uua))))) # label(fact_ATP_Olambda__87) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 274 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fh,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_in,Uua),aa_TPTP_ind_TPTP_ind(scratc1316466901_power,Uu))))) # label(fact_ATP_Olambda__88) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 275 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fb,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1382314947d_n_in,Uua),Uu)))) # label(fact_ATP_Olambda__89) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 276 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bn,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1849013027nd_nIn,Uua),Uu)))) # label(fact_ATP_Olambda__90) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 277 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ak,Uu),Uua)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_in,Uua),Uu)))) # label(fact_ATP_Olambda__91) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 278 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ef,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ee(Uu),Uua))))) # label(fact_ATP_Olambda__92) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 279 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dy,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dx(Uu),Uua))))) # label(fact_ATP_Olambda__93) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 280 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dv,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_du(Uu),Uua))))) # label(fact_ATP_Olambda__94) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 281 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ce,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cd(Uu),Uua))))) # label(fact_ATP_Olambda__95) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 282 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cb,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ca(Uu),Uua))))) # label(fact_ATP_Olambda__96) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 283 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_by,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bx(Uu),Uua))))) # label(fact_ATP_Olambda__97) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 284 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bv,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bu(Uu),Uua))))) # label(fact_ATP_Olambda__98) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 285 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_br(Uu),Uua))))) # label(fact_ATP_Olambda__99) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 286 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,Uu),Uua)) <-> pp(aa_fun171081125l_bool(scratc1010594984all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(Uu),Uua))))) # label(fact_ATP_Olambda__100) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 287 (all Uu all Uua (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ds,Uu),Uua)) <-> pp(scratc1923679338_amone(scratc1850587409nd_nat,aa_TPT43085870d_bool(aTP_Lamm_do(Uu),Uua))))) # label(fact_ATP_Olambda__101) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.28 288 (all Uu all Uua aa_TPTP_ind_TPTP_ind(aTP_Lamm_ae(Uu),Uua) = aa_TPTP_ind_TPTP_ind(scratc93220915rdsucc,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1813794047bnd_ap,Uu),Uua))) # label(fact_ATP_Olambda__102) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.29 289 (all Uu all Uua aa_TPTP_ind_TPTP_ind(aTP_Lamm_bf(Uu),Uua) = aa_TPTP_ind_TPTP_ind(scratc1823728767_union,aa_TPTP_ind_TPTP_ind(Uu,Uua))) # label(fact_ATP_Olambda__103) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.29 290 (all Uu all Uua (gg_TPTP_ind(Uua) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bh,Uu),Uua)) <-> (exists X3 (gg_TPTP_ind(X3) & Uua = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc993274474d_pair,Uu),X3)))))) # label(fact_ATP_Olambda__104) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.29 291 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fr(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1863654591d_e_is(aa_TPTP_ind_TPTP_ind(scratc1874627657etprod(Uu),Uua)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1130723118d_pair(Uu,Uua),aa_TPTP_ind_TPTP_ind(scratc229297216_first(Uu,Uua),Uub)),aa_TPTP_ind_TPTP_ind(scratc2113093028second(Uu,Uua),Uub))),Uub)))) # label(fact_ATP_Olambda__105) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.29 292 (all Uu all Uua all Uub aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(aTP_Lamm_bp(Uu),Uua),Uub) = aa_TPTP_ind_TPTP_ind(scratc1814318829bnd_if(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_in,scratc1354247301ptyset),Uub),Uu),Uua)) # label(fact_ATP_Olambda__106) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.29 293 (all Uu all Uua all Uub aa_TPTP_ind_TPTP_ind(aa_fun1235454963TP_ind(aTP_Lamm_bo(Uu),Uua),Uub) = aa_TPTP_ind_TPTP_ind(scratc1814318829bnd_if(aa_TPTP_ind_bool(Uua,Uub),Uub),scratc1777217848nd_eps(aa_fun1584354236d_bool(aTP_Lamm_bc(Uu),Uua)))) # label(fact_ATP_Olambda__107) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.29 294 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_av(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1146178547d_esti(Uu),Uub),Uua)))) # label(fact_ATP_Olambda__108) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.29 295 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_fk(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1146178547d_esti(Uu),Uub),aa_fun1431113780TP_ind(scratc1373723050_d_Sep(Uu),Uua))) -> pp(aa_TPTP_ind_bool(Uua,Uub))))) # label(fact_ATP_Olambda__109) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.29 296 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fi(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2078620990d_incl(Uu),Uua),Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2078620990d_incl(Uu),Uub),Uua)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1863654591d_e_is(aa_TPTP_ind_TPTP_ind(scratc1316466901_power,Uu)),Uua),Uub)))))) # label(fact_ATP_Olambda__110) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.29 297 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fs(Uu),Uua),Uub)) <-> scratc355035249_is_of(aa_TPTP_ind_TPTP_ind(scratc2113093028second(Uu,Uua),Uub),aa_TPT43085870d_bool(aTP_Lamm_ak,Uua)))) # label(fact_ATP_Olambda__111) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.29 298 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ft(Uu),Uua),Uub)) <-> scratc355035249_is_of(aa_TPTP_ind_TPTP_ind(scratc229297216_first(Uu,Uua),Uub),aa_TPT43085870d_bool(aTP_Lamm_ak,Uu)))) # label(fact_ATP_Olambda__112) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.29 299 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_fz(Uu),Uua),Uub)) <-> scratc355035249_is_of(aa_TPTP_ind_TPTP_ind(scratc1863654586d_e_in(Uu,Uua),Uub),aa_TPT43085870d_bool(aTP_Lamm_ak,Uu)))) # label(fact_ATP_Olambda__113) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.29 300 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gd(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1010594984all_of(aa_TPT43085870d_bool(aTP_Lamm_ga(Uu),Uua)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_gc(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__114) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.29 301 (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(scratc1382314952d_n_is,aa_TPTP_ind_TPTP_ind(scratc1382774138d_n_pl(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc1382774138d_n_pl(Uu),Uub))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1382314952d_n_is,Uua),Uub))))) # label(fact_ATP_Olambda__115) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.29 302 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ee(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1382314952d_n_is,aa_TPTP_ind_TPTP_ind(scratc1382774138d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1382774138d_n_pl(Uu),Uua)),Uub)),aa_TPTP_ind_TPTP_ind(scratc1382774138d_n_pl(Uu),aa_TPTP_ind_TPTP_ind(scratc1382774138d_n_pl(Uua),Uub)))))) # label(fact_ATP_Olambda__116) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.29 303 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_br(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1427721007moreis,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,Uu),Uub)))))) # label(fact_ATP_Olambda__117) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.29 304 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bu(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1427721007moreis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc987506427_29_ii,Uu),Uub)))))) # label(fact_ATP_Olambda__118) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.29 305 (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(scratc1293737395lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1293737395lessis,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1293737395lessis,Uu),Uub)))))) # label(fact_ATP_Olambda__119) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.29 306 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ca(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1293737395lessis,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1809804665nd_iii,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1809804665nd_iii,Uu),Uub)))))) # label(fact_ATP_Olambda__120) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.29 307 (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(scratc1851112200nd_nis,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1851112200nd_nis,aa_TPTP_ind_TPTP_ind(scratc1382774138d_n_pl(Uu),Uua)),aa_TPTP_ind_TPTP_ind(scratc1382774138d_n_pl(Uu),Uub)))))) # label(fact_ATP_Olambda__121) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.29 308 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bx(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1809804665nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1293737395lessis,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1809804665nd_iii,Uu),Uub)))))) # label(fact_ATP_Olambda__122) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.29 309 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cd(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1809804665nd_iii,Uu),Uua)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1809804665nd_iii,Uua),Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1809804665nd_iii,Uu),Uub)))))) # label(fact_ATP_Olambda__123) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.29 310 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_bc(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_in,Uub),Uu)) & pp(aa_TPTP_ind_bool(Uua,Uub)))) # label(fact_ATP_Olambda__124) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.29 311 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_fw(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(Uua,Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc186655147_image(aa_fun1431113780TP_ind(scratc1373723050_d_Sep(Uu),Uua),Uu),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1318385489_Sigma,aa_fun1431113780TP_ind(scratc1373723050_d_Sep(Uu),Uua)),scratc1863654586d_e_in(Uu,Uua))),Uub))))) # label(fact_ATP_Olambda__125) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.29 312 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_fl(Uu),Uua),Uub)) <-> (pp(aa_TPTP_ind_bool(Uua,Uub)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1146178547d_esti(Uu),Uub),aa_fun1431113780TP_ind(scratc1373723050_d_Sep(Uu),Uua)))))) # label(fact_ATP_Olambda__126) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.29 313 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_gf(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1010594984all_of(aa_TPT43085870d_bool(aTP_Lamm_ak,Uu)),aa_TPT43085870d_bool(aa_fun1212484691d_bool(aTP_Lamm_ge(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__127) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.29 314 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_be(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1010594984all_of(aa_TPT43085870d_bool(aTP_Lamm_ak,Uu)),aa_TPT43085870d_bool(aa_fun1212484691d_bool(aTP_Lamm_bd(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__128) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.29 315 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fv(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1010594984all_of(aa_TPT43085870d_bool(aTP_Lamm_ak,Uua)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fu(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__129) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.29 316 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fp(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1010594984all_of(aa_TPT43085870d_bool(aTP_Lamm_ak,Uua)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fo(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__130) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.29 317 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fn(Uu),Uua),Uub)) <-> pp(aa_fun171081125l_bool(scratc1010594984all_of(aa_TPT43085870d_bool(aTP_Lamm_ak,Uua)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fm(Uu),Uua),Uub))))) # label(fact_ATP_Olambda__131) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.29 318 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ga(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_in,Uub),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc722450317d_d_Pi,Uu),aTP_Lamm_aj(Uua)))))) # label(fact_ATP_Olambda__132) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.29 319 (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(scratc1382314952d_n_is,Uu),aa_TPTP_ind_TPTP_ind(scratc1382774138d_n_pl(Uua),Uub))))) # label(fact_ATP_Olambda__133) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.29 320 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dp(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1382314952d_n_is,Uua),aa_TPTP_ind_TPTP_ind(scratc1382774138d_n_pl(Uu),Uub))))) # label(fact_ATP_Olambda__134) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.29 321 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fq(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_in,Uub),aa_TPTP_ind_TPTP_ind(scratc1874627657etprod(Uu),Uua))))) # label(fact_ATP_Olambda__135) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.29 322 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_fx(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_in,Uub),aa_fun1431113780TP_ind(scratc1373723050_d_Sep(Uu),Uua))))) # label(fact_ATP_Olambda__136) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.29 323 (all Uu all Uua all Uub aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(aTP_Lamm_ax(Uu),Uua),Uub) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1813794047bnd_ap,Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1813794047bnd_ap,Uu),Uub))) # label(fact_ATP_Olambda__137) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.29 324 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1584354236d_bool(aTP_Lamm_fy(Uu),Uua),Uub)) <-> pp(aa_TPTP_ind_bool(Uua,aa_TPTP_ind_TPTP_ind(scratc1863654586d_e_in(Uu,Uua),Uub))))) # label(fact_ATP_Olambda__138) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.29 325 (all Uu all Uua all Uub (pp(aa_TPTP_ind_bool(aa_fun1913827119d_bool(aTP_Lamm_bg(Uu),Uua),Uub)) <-> (all X3 (gg_TPTP_ind(X3) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_in,X3),Uu)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1814318837bnd_in,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1813794047bnd_ap,Uub),X3)),aa_TPTP_ind_TPTP_ind(Uua,X3)))))))) # label(fact_ATP_Olambda__139) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.29 326 (all Uu all Uua all Uub all Uuc aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aTP_Lamm_ay(Uu),Uua),Uub),Uuc) = aa_TPTP_ind_TPTP_ind(scratc1814318829bnd_if(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc186655147_image(Uu,Uua),Uub),Uuc),aa_TPTP_ind_TPTP_ind(scratc1303016698d_soft(Uu,Uua,Uub),Uuc)),scratc1354247301ptyset)) # label(fact_ATP_Olambda__140) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.29 327 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fo(Uu),Uua),Uub),Uuc)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1863654591d_e_is(Uu),aa_TPTP_ind_TPTP_ind(scratc229297216_first(Uu,Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1130723118d_pair(Uu,Uua),Uub),Uuc))),Uub)))) # label(fact_ATP_Olambda__141) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.29 328 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fm(Uu),Uua),Uub),Uuc)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1863654591d_e_is(Uua),aa_TPTP_ind_TPTP_ind(scratc2113093028second(Uu,Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1130723118d_pair(Uu,Uua),Uub),Uuc))),Uuc)))) # label(fact_ATP_Olambda__142) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.29 329 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_gb(Uu),Uua),Uub),Uuc)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1863654591d_e_is(Uu),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1813794047bnd_ap,Uua),Uuc)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1813794047bnd_ap,Uub),Uuc))))) # label(fact_ATP_Olambda__143) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.29 330 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ar(Uu),Uua),Uub),Uuc)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1146178547d_esti(Uu),Uub),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1813794047bnd_ap,Uua),Uuc))))) # label(fact_ATP_Olambda__144) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.29 331 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_az(Uu),Uua),Uub),Uuc)) <-> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1863654591d_e_is(Uu),Uub),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1813794047bnd_ap,Uua),Uuc))))) # label(fact_ATP_Olambda__145) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.29 332 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fu(Uu),Uua),Uub),Uuc)) <-> scratc355035249_is_of(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1130723118d_pair(Uu,Uua),Uub),Uuc),aa_TPT43085870d_bool(aTP_Lamm_fq(Uu),Uua)))) # label(fact_ATP_Olambda__146) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.29 333 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_at(Uu),Uua),Uub),Uuc)) <-> pp(scratc1250407610d_l_ec(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1146178547d_esti(Uu),Uuc),Uua),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1146178547d_esti(Uu),Uuc),Uub))))) # label(fact_ATP_Olambda__147) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.29 334 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_au(Uu),Uua),Uub),Uuc)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1810067068nd_imp,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1146178547d_esti(Uu),Uuc),Uua)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1146178547d_esti(Uu),Uuc),Uub))))) # label(fact_ATP_Olambda__148) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.29 335 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_gc(Uu),Uua),Uub),Uuc)) <-> (pp(aa_fun171081125l_bool(scratc1010594984all_of(aa_TPT43085870d_bool(aTP_Lamm_ak,Uu)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_gb(Uua),Uub),Uuc))) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1863654591d_e_is(aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc722450317d_d_Pi,Uu),aTP_Lamm_aj(Uua))),Uub),Uuc))))) # label(fact_ATP_Olambda__149) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.29 336 (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_bq(Uu),Uua),Uub),Uuc)) <-> pp(Uu) & Uuc = Uua | -pp(Uu) & Uuc = Uub))) # label(fact_ATP_Olambda__150) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.29 337 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_fun1212484691d_bool(aTP_Lamm_ge(Uu),Uua),Uub),Uuc)) <-> (pp(aa_TPTP_ind_bool(Uua,Uub)) -> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1863654591d_e_is(Uu),Uub),Uuc)) -> pp(aa_TPTP_ind_bool(Uua,Uuc)))))) # label(fact_ATP_Olambda__151) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.29 338 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_fun1212484691d_bool(aTP_Lamm_bd(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(scratc1863654591d_e_is(Uu),Uub),Uuc)))))) # label(fact_ATP_Olambda__152) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.29 339 (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_fun171081125l_bool(scratc1743909425nd_all(Uu),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_TPT1123896796d_bool(aTP_Lamm_ba(Uu),Uua),Uub),Uuc))))) # label(fact_ATP_Olambda__153) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.29 340 (all Uu all Uua all Uub all Uuc (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_as(Uu),Uua),Uub),Uuc)) <-> pp(aa_fun171081125l_bool(scratc121255792l_some(Uua),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ar(Uu),Uub),Uuc))))) # label(fact_ATP_Olambda__154) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.29 341 (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_ba(Uu),Uua),Uub),Uuc),Uud)) <-> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1810067068nd_imp,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1863654591d_e_is(Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1813794047bnd_ap,Uub),Uuc)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1813794047bnd_ap,Uub),Uud))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1863654591d_e_is(Uu),Uuc),Uud))))) # label(fact_ATP_Olambda__155) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.29 342 (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_ap(Uu),Uua),Uub),Uuc),Uud)) <-> (pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(Uu,Uuc),Uud)) -> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1863654591d_e_is(Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1813794047bnd_ap,Uub),Uuc)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1813794047bnd_ap,Uub),Uud)))))) # label(fact_ATP_Olambda__156) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.29 343 (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_ao(Uu),Uua),Uub),Uuc),Uud)) <-> pp(aa_fun171081125l_bool(scratc1010594984all_of(aa_TPT43085870d_bool(aTP_Lamm_ak,Uu)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_TPT1123896796d_bool(aa_fun845057962d_bool(aTP_Lamm_an(Uu),Uua),Uub),Uuc),Uud))))) # label(fact_ATP_Olambda__157) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.29 344 (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_aq(Uu),Uua),Uub),Uuc),Uud)) <-> pp(aa_fun171081125l_bool(scratc1010594984all_of(aa_TPT43085870d_bool(aTP_Lamm_ak,Uu)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_TPT1123896796d_bool(aTP_Lamm_ap(Uua),Uub),Uuc),Uud))))) # label(fact_ATP_Olambda__158) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.29 345 (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_aw(Uu),Uua),Uub),Uuc),Uud) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1813794047bnd_ap,Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1813794047bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1353877097wissel(Uu,Uub),Uuc)),Uud))) # label(fact_ATP_Olambda__159) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.29 346 (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_an(Uu),Uua),Uub),Uuc),Uud),Uue)) <-> pp(aa_fun171081125l_bool(scratc1010594984all_of(aa_TPT43085870d_bool(aTP_Lamm_ak,Uu)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_TPT1123896796d_bool(aa_TPT985247859d_bool(aa_fun1107270209d_bool(aTP_Lamm_am(Uu),Uua),Uub),Uuc),Uud),Uue))))) # label(fact_ATP_Olambda__160) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.29 347 (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_al(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(scratc1863654591d_e_is(Uua),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1813794047bnd_ap,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1813794047bnd_ap,Uub),Uuc)),Uue)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1813794047bnd_ap,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1813794047bnd_ap,Uub),Uud)),Uuf))))))) # label(fact_ATP_Olambda__161) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.29 348 (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_am(Uu),Uua),Uub),Uuc),Uud),Uue),Uuf)) <-> pp(aa_fun171081125l_bool(scratc1010594984all_of(aa_TPT43085870d_bool(aTP_Lamm_ak,Uu)),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aa_TPT1123896796d_bool(aa_TPT985247859d_bool(aa_TPT125613450d_bool(aTP_Lamm_al(Uua),Uub),Uuc),Uud),Uue),Uuf))))) # label(fact_ATP_Olambda__162) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.29 349 (all Uu all Uua (gg_TPTP_ind(Uu) -> aa_TPTP_ind_TPTP_ind(aTP_Lamm_aj(Uu),Uua) = Uu)) # label(fact_ATP_Olambda__163) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.29 350 (all Uu aa_TPTP_ind_TPTP_ind(aTP_Lamm_ad,Uu) = scratc1850587409nd_nat) # label(fact_ATP_Olambda__164) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.29 351 (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].
% 0.95/1.29 352 (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].
% 0.95/1.29 353 (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].
% 0.95/1.29 354 (all P (gg_bool(P) -> P = fTrue | P = fFalse)) # label(help_fFalse_1_1_T) # label(axiom) # label(non_clause). [assumption].
% 0.95/1.29 355 (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].
% 0.95/1.29 356 (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].
% 0.95/1.29 357 (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].
% 0.95/1.29 358 (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].
% 0.95/1.29 359 (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].
% 0.95/1.32 360 (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].
% 0.95/1.32 361 (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].
% 0.95/1.32 362 (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].
% 0.95/1.32 363 (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].
% 0.95/1.32
% 0.95/1.32 ============================== end of process non-clausal formulas ===
% 0.95/1.32
% 0.95/1.32 ============================== PROCESS INITIAL CLAUSES ===============
% 0.95/1.32
% 0.95/1.32 ============================== PREDICATE ELIMINATION =================
% 0.95/1.32 364 -gg_bool(A) | A = fTrue | A = fFalse # label(help_fFalse_1_1_T) # label(axiom). [clausify(354)].
% 0.95/1.32 365 gg_bool(undefined_bool(bool)) # label(gsy_c_HOL_Oundefined_001t__HOL__Obool) # label(axiom). [assumption].
% 0.95/1.32 366 gg_bool(scratc1923679338_amone(A,B)) # label(gsy_c_Scratch__tptp__translate__45444__26202_ONUM667__thf__4__p_Obnd__amone) # label(axiom). [clausify(1)].
% 0.95/1.32 367 gg_bool(scratc1489974499_d_and(A,B)) # label(gsy_c_Scratch__tptp__translate__45444__26202_ONUM667__thf__4__p_Obnd__d__and) # label(axiom). [clausify(2)].
% 0.95/1.32 368 gg_bool(scratc1597439679_d_not(A)) # label(gsy_c_Scratch__tptp__translate__45444__26202_ONUM667__thf__4__p_Obnd__d__not) # label(axiom). [clausify(3)].
% 0.95/1.32 369 gg_bool(scratc1776364997nd_ec3(A,B,C)) # label(gsy_c_Scratch__tptp__translate__45444__26202_ONUM667__thf__4__p_Obnd__ec3) # label(axiom). [clausify(4)].
% 0.95/1.32 370 gg_bool(scratc1250407610d_l_ec(A,B)) # label(gsy_c_Scratch__tptp__translate__45444__26202_ONUM667__thf__4__p_Obnd__l__ec) # label(axiom). [clausify(8)].
% 0.95/1.32 371 gg_bool(scratc1859964032nd_or3(A,B,C)) # label(gsy_c_Scratch__tptp__translate__45444__26202_ONUM667__thf__4__p_Obnd__or3) # label(axiom). [clausify(9)].
% 0.95/1.32 372 gg_bool(aa_bool_bool(A,B)) # label(gsy_c_aa_001t__HOL__Obool_001t__HOL__Obool) # label(axiom). [clausify(10)].
% 0.95/1.32 373 gg_bool(aa_TPTP_ind_bool(A,B)) # label(gsy_c_aa_001t__TPTP____Interpret__Oind_001t__HOL__Obool) # label(axiom). [clausify(11)].
% 0.95/1.32 374 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)].
% 0.95/1.32 375 gg_bool(fEx_TPTP_ind(A)) # label(gsy_c_fEx_001t__TPTP____Interpret__Oind) # label(axiom). [clausify(16)].
% 0.95/1.32 376 gg_bool(fFalse) # label(gsy_c_fFalse) # label(axiom). [assumption].
% 0.95/1.32 377 gg_bool(fTrue) # label(gsy_c_fTrue) # label(axiom). [assumption].
% 0.95/1.32 Derived: undefined_bool(bool) = fTrue | undefined_bool(bool) = fFalse. [resolve(364,a,365,a)].
% 0.95/1.32 Derived: scratc1923679338_amone(A,B) = fTrue | scratc1923679338_amone(A,B) = fFalse. [resolve(364,a,366,a)].
% 0.95/1.32 Derived: scratc1489974499_d_and(A,B) = fTrue | scratc1489974499_d_and(A,B) = fFalse. [resolve(364,a,367,a)].
% 0.95/1.32 Derived: scratc1597439679_d_not(A) = fTrue | scratc1597439679_d_not(A) = fFalse. [resolve(364,a,368,a)].
% 0.95/1.32 Derived: scratc1776364997nd_ec3(A,B,C) = fTrue | scratc1776364997nd_ec3(A,B,C) = fFalse. [resolve(364,a,369,a)].
% 0.95/1.32 Derived: scratc1250407610d_l_ec(A,B) = fTrue | scratc1250407610d_l_ec(A,B) = fFalse. [resolve(364,a,370,a)].
% 0.95/1.32 Derived: scratc1859964032nd_or3(A,B,C) = fTrue | scratc1859964032nd_or3(A,B,C) = fFalse. [resolve(364,a,371,a)].
% 0.95/1.32 Derived: aa_bool_bool(A,B) = fTrue | aa_bool_bool(A,B) = fFalse. [resolve(364,a,372,a)].
% 1.42/1.68 Derived: aa_TPTP_ind_bool(A,B) = fTrue | aa_TPTP_ind_bool(A,B) = fFalse. [resolve(364,a,373,a)].
% 1.42/1.68 Derived: aa_fun171081125l_bool(A,B) = fTrue | aa_fun171081125l_bool(A,B) = fFalse. [resolve(364,a,374,a)].
% 1.42/1.68 Derived: fEx_TPTP_ind(A) = fTrue | fEx_TPTP_ind(A) = fFalse. [resolve(364,a,375,a)].
% 1.42/1.68 Derived: fFalse = fTrue | fFalse = fFalse. [resolve(364,a,376,a)].
% 1.42/1.68 Derived: fTrue = fTrue | fTrue = fFalse. [resolve(364,a,377,a)].
% 1.42/1.68 378 scratc1645342400d_r_ec(A,B) | pp(A) # label(fact_def__r__ec) # label(axiom). [clausify(59)].
% 1.42/1.68 379 -scratc1645342400d_r_ec(A,B) | -pp(A) | pp(scratc1597439679_d_not(B)) # label(fact_def__r__ec) # label(axiom). [clausify(59)].
% 1.42/1.68 380 scratc1645342400d_r_ec(A,B) | -pp(scratc1597439679_d_not(B)) # label(fact_def__r__ec) # label(axiom). [clausify(59)].
% 1.42/1.68 381 scratc236632301_l_iff(A,B) | -pp(scratc1489974499_d_and(aa_bool_bool(aa_boo1142376798l_bool(scratc1810067068nd_imp,A),B),aa_bool_bool(aa_boo1142376798l_bool(scratc1810067068nd_imp,B),A))) # label(fact_def__l__iff) # label(axiom). [clausify(91)].
% 1.42/1.68 382 -scratc236632301_l_iff(A,B) | pp(scratc1489974499_d_and(aa_bool_bool(aa_boo1142376798l_bool(scratc1810067068nd_imp,A),B),aa_bool_bool(aa_boo1142376798l_bool(scratc1810067068nd_imp,B),A))) # label(fact_def__l__iff) # label(axiom). [clausify(91)].
% 1.42/1.68 383 scratc352870449d_orec(A,B) | -pp(scratc1489974499_d_and(aa_bool_bool(scratc1251063615d_l_or(A),B),scratc1250407610d_l_ec(A,B))) # label(fact_def__orec) # label(axiom). [clausify(92)].
% 1.42/1.68 384 -scratc352870449d_orec(A,B) | pp(scratc1489974499_d_and(aa_bool_bool(scratc1251063615d_l_or(A),B),scratc1250407610d_l_ec(A,B))) # label(fact_def__orec) # label(axiom). [clausify(92)].
% 1.42/1.68 385 scratc1925203342nd_wel(A) | -pp(scratc1597439679_d_not(scratc1597439679_d_not(A))) # label(fact_def__wel) # label(axiom). [clausify(97)].
% 1.42/1.68 386 -scratc1925203342nd_wel(A) | pp(scratc1597439679_d_not(scratc1597439679_d_not(A))) # label(fact_def__wel) # label(axiom). [clausify(97)].
% 1.42/1.68 387 -scratc1925203342nd_wel(A) | pp(A) # label(fact_l__et) # label(axiom). [clausify(147)].
% 1.42/1.68 Derived: pp(A) | -pp(scratc1597439679_d_not(scratc1597439679_d_not(A))). [resolve(387,a,385,a)].
% 1.42/1.68
% 1.42/1.68 ============================== end predicate elimination =============
% 1.42/1.68
% 1.42/1.68 Auto_denials: (non-Horn, no changes).
% 1.42/1.68
% 1.42/1.68 Term ordering decisions:
% 1.42/1.68 Function symbol KB weights: aTP_Lamm_a=1. scratc1814318837bnd_in=1. scratc1382314952d_n_is=1. scratc93220915rdsucc=1. scratc1813794047bnd_ap=1. aTP_Lamm_ak=1. scratc1809804665nd_iii=1. scratc1354247301ptyset=1. scratc987506427_29_ii=1. scratc1318385489_Sigma=1. scratc1851112200nd_nis=1. scratc1293737395lessis=1. scratc1562404659nd_n_1=1. fFalse=1. scratc1316466901_power=1. scratc1850587409nd_nat=1. scratc241679455_nat_p=1. scratc722450317d_d_Pi=1. scratc865080434n_some=1. scratc1427721007moreis=1. scratc1810067068nd_imp=1. scratc440470431d_repl=1. fTrue=1. scratc993274474d_pair=1. scratc133301733d_Subq=1. scratc1444980739_proj0=1. scratc1823728767_union=1. scratc891303183closed=1. aTP_Lamm_ag=1. scratc1382314947d_n_in=1. scratc1444980740_proj1=1. scratc914948323_n_all=1. aTP_Lamm_ad=1. aTP_Lamm_af=1. aTP_Lamm_fh=1. scratc682601767closed=1. scratc847334781closed=1. aTP_Lamm_cg=1. aTP_Lamm_ci=1. aTP_Lamm_ck=1. aTP_Lamm_cm=1. aTP_Lamm_co=1. aTP_Lamm_cq=1. aTP_Lamm_cs=1. aTP_Lamm_cu=1. aTP_Lamm_cw=1. aTP_Lamm_cy=1. aTP_Lamm_da=1. aTP_Lamm_dc=1. aTP_Lamm_ey=1. aTP_Lamm_fc=1. aTP_Lamm_fd=1. scratc1363366137_prop2=1. scratc614635953_omega=1. scratc667530348closed=1. scratc860058528d_Inj1=1. aTP_Lamm_ab=1. aTP_Lamm_ah=1. aTP_Lamm_bh=1. aTP_Lamm_bj=1. aTP_Lamm_bk=1. aTP_Lamm_bs=1. aTP_Lamm_bv=1. aTP_Lamm_by=1. aTP_Lamm_cb=1. aTP_Lamm_ce=1. aTP_Lamm_de=1. aTP_Lamm_dg=1. aTP_Lamm_di=1. aTP_Lamm_dk=1. aTP_Lamm_dm=1. aTP_Lamm_dq=1. aTP_Lamm_ds=1. aTP_Lamm_dv=1. aTP_Lamm_dy=1. aTP_Lamm_ea=1. aTP_Lamm_ec=1. aTP_Lamm_ef=1. aTP_Lamm_eh=1. aTP_Lamm_ek=1. aTP_Lamm_en=1. aTP_Lamm_eq=1. aTP_Lamm_et=1. aTP_Lamm_ev=1. aTP_Lamm_ew=1. aTP_Lamm_fb=1. fconj=1. fimplies=1. scratc1363366136_prop1=1. scratc1460097472_cond2=1. scratc34950851d_Sing=1. scratc860058527d_Inj0=1. aTP_Lamm_bn=1. aTP_Lamm_bt=1. aTP_Lamm_bw=1. aTP_Lamm_bz=1. aTP_Lamm_cc=1. aTP_Lamm_cf=1. aTP_Lamm_ch=1. aTP_Lamm_cj=1. aTP_Lamm_cl=1. aTP_Lamm_cn=1. aTP_Lamm_cp=1. aTP_Lamm_cr=1. aTP_Lamm_ct=1. aTP_Lamm_cv=1. aTP_Lamm_cx=1. aTP_Lamm_cz=1. aTP_Lamm_db=1. aTP_Lamm_dd=1. aTP_Lamm_df=1. aTP_Lamm_dh=1. aTP_Lamm_dj=1. aTP_Lamm_dl=1. aTP_Lamm_dn=1. aTP_Lamm_dr=1. aTP_Lamm_dt=1. aTP_Lamm_dw=1. aTP_Lamm_dz=1. aTP_Lamm_eb=1. aTP_Lamm_ed=1. aTP_Lamm_eg=1. aTP_Lamm_ei=1. aTP_Lamm_ej=1. aTP_Lamm_el=1. aTP_Lamm_em=1. aTP_Lamm_eo=1. aTP_Lamm_ep=1. aTP_Lamm_er=1. aTP_Lamm_es=1. aTP_Lamm_eu=1. aTP_Lamm_ex=1. aTP_Lamm_ez=1. aTP_Lamm_fa=1. aTP_Lamm_fe=1. aTP_Lamm_ff=1. aTP_Lamm_fg=1. aTP_Lamm_fj=1. aTP_Lamm_gg=1. fequal_TPTP_ind=1. scratc1030740584_n_one=1. scratc1390836445_d_Unj=1. scratc1460097471_cond1=1. scratc1849013027nd_nIn=1. scratc674736237univof=1. aTP_Lamm_ac=1. aTP_Lamm_ai=1. aTP_Lamm_bl=1. aTP_Lamm_bm=1. bool=1. scratc10209715_prop1=1. scratc1084938218d_plus=1. scratc1445374337_prop4=1. scratc1639842288nempty=1. scratc1719687853munion=1. scratc186641786_prop1=1. scratc2097454534pair_p=1. scratc392606838_prop1=1. scratc48140669_empty=1. scratc775003961_prop1=1. scratc980969013_prop1=1. scratc1731526961d_24_g=1. scratc579015675d_i1_s=1. tPTP_ind=1. aa_TPTP_ind_bool=1. aa_TPT43085870d_bool=1. aa_TPTP_ind_TPTP_ind=1. aa_fun171081125l_bool=1. aa_TPT1424761345TP_ind=1. aa_TPT60673477d_bool=1. aa_fun277296641TP_ind=1. aa_TPT494704832TP_ind=1. aa_bool_bool=1. aa_fun1584354236d_bool=1. aa_fun1431113780TP_ind=1. aa_boo1142376798l_bool=1. scratc1489974499_d_and=1. aa_TPT1123896796d_bool=1. scratc1814318829bnd_if=1. scratc1250407610d_l_ec=1. aa_fun1212484691d_bool=1. aa_TPT985247859d_bool=1. scratc1863654586d_e_in=1. scratc1130723118d_pair=1. aa_fun987228051d_bool=1. scratc1810132655nd_ind=1. scratc1923679338_amone=1. scratc186655147_image=1. scratc2113093028second=1. scratc229297216_first=1. aa_TPT125613450d_bool=1. scratc1851505789nd_non=1. aa_fun1913827119d_bool=1. scratc129021883d_anec=1. aa_TPT1791839040TP_ind=1. aa_fun1107270209d_bool=1. aa_fun845057962d_bool=1. scratc1776365058nd_ecp=1. scratc215527899eplSep=1. scratc740801919_ecelt=1. scratc740211528_ecect=1. aa_TPT1781712639TP_ind=1. aa_TPT2142672771l_bool=1. aa_fun1235454963TP_ind=1. cOMBB_658106424TP_ind=1. cOMBS_2003118649l_bool=1. scratc1353877097wissel=1. scratc1485850300ectset=1. scratc1776365062nd_ect=1. scratc1799550973etprop=1. scratc1860160894nd_out=1. scratc278013460_fixfu=1. scratc973823774fixfu2=1. scratc1370648423ectelt=1. scratc1591967646unmore=1. scratc1638952256nverse=1. scratc2079867365d_invf=1. scratc2083603896d_tofs=1. f1=1. f12=1. f13=1. f20=1. f24=1. scratc1010594984all_of=1. scratc1382774138d_n_pl=1. scratc1863654591d_e_is=1. scratc1597439679_d_not=1. scratc1373723050_d_Sep=1. scratc1146178547d_esti=1. scratc121255792l_some=1. scratc488660600ffprop=1. scratc1743909425nd_all=1. scratc1251063615d_l_or=1. scratc369006448_rec_G=1. aTP_Lamm_aj=1. aTP_Lamm_fq=1. scratc1859701686nd_one=1. aTP_Lamm_aa=1. aTP_Lamm_al=1. aTP_Lamm_av=1. aTP_Lamm_bd=1. aTP_Lamm_bq=1. aTP_Lamm_br=1. aTP_Lamm_bu=1. aTP_Lamm_bx=1. aTP_Lamm_ca=1. aTP_Lamm_cd=1. aTP_Lamm_do=1. aTP_Lamm_fi=1. aTP_Lamm_ge=1. scratc2078620990d_incl=1. aTP_Lamm_ap=1. aTP_Lamm_az=1. aTP_Lamm_bc=1. aTP_Lamm_bg=1. aTP_Lamm_du=1. aTP_Lamm_dx=1. aTP_Lamm_ga=1. aTP_Lamm_gc=1. scratc1777217848nd_eps=1. scratc1874627657etprod=1. scratc31865431ective=1. aTP_Lamm_am=1. aTP_Lamm_an=1. aTP_Lamm_ao=1. aTP_Lamm_aq=1. aTP_Lamm_ar=1. aTP_Lamm_at=1. aTP_Lamm_au=1. aTP_Lamm_ba=1. aTP_Lamm_bb=1. aTP_Lamm_be=1. aTP_Lamm_dp=1. aTP_Lamm_ee=1. aTP_Lamm_fk=1. aTP_Lamm_fl=1. aTP_Lamm_fm=1. aTP_Lamm_fo=1. aTP_Lamm_fu=1. aTP_Lamm_fw=1. aTP_Lamm_fx=1. aTP_Lamm_gb=1. fEx_TPTP_ind=1. scratc1335296268ective=1. scratc566061304nunion=1. aTP_Lamm_as=1. aTP_Lamm_fn=1. aTP_Lamm_fp=1. aTP_Lamm_fr=1. aTP_Lamm_fs=1. aTP_Lamm_ft=1. aTP_Lamm_fv=1. aTP_Lamm_fy=1. aTP_Lamm_fz=1. aTP_Lamm_gd=1. aTP_Lamm_gf=1. scratc1212871867_UPair=1. scratc2090775127In_rec=1. aTP_Lamm_ae=1. aTP_Lamm_aw=1. aTP_Lamm_ax=1. aTP_Lamm_ay=1. aTP_Lamm_bf=1. aTP_Lamm_bi=1. aTP_Lamm_bo=1. aTP_Lamm_bp=1. cOMBC_15550114Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------