%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : ALG227+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:08:31 AM UTC 2026
% Result : Theorem 146.75s 29.51s
% Output : CNFRefutation 146.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 943
% Syntax : Number of formulae : 5321 (3431 unt; 0 typ; 0 def)
% Number of atoms : 30946 (10762 equ; 0 cnn)
% Maximal formula atoms : 8 ( 5 avg)
% Number of connectives : 51150 (11722 ~;8395 |; 351 &;30081 @)
% ( 132 <=>; 469 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 1190 (1187 usr; 277 con; 0-9 aty)
% Number of variables : 8471 ( 0 ^;8396 !; 75 ?;8471 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a_0_0_fraenkel,type,
a_0_0_fraenkel: $i ).
thf(tp_a_0_0_numbers,type,
a_0_0_numbers: $i ).
thf(tp_a_0_0_pre_circ,type,
a_0_0_pre_circ: $i ).
thf(tp_a_0_10_fraenkel,type,
a_0_10_fraenkel: $i ).
thf(tp_a_0_11_fraenkel,type,
a_0_11_fraenkel: $i ).
thf(tp_a_0_12_fraenkel,type,
a_0_12_fraenkel: $i ).
thf(tp_a_0_13_fraenkel,type,
a_0_13_fraenkel: $i ).
thf(tp_a_0_14_fraenkel,type,
a_0_14_fraenkel: $i ).
thf(tp_a_0_15_fraenkel,type,
a_0_15_fraenkel: $i ).
thf(tp_a_0_16_fraenkel,type,
a_0_16_fraenkel: $i ).
thf(tp_a_0_17_fraenkel,type,
a_0_17_fraenkel: $i ).
thf(tp_a_0_18_fraenkel,type,
a_0_18_fraenkel: $i ).
thf(tp_a_0_19_fraenkel,type,
a_0_19_fraenkel: $i ).
thf(tp_a_0_1_fraenkel,type,
a_0_1_fraenkel: $i ).
thf(tp_a_0_20_fraenkel,type,
a_0_20_fraenkel: $i ).
thf(tp_a_0_21_fraenkel,type,
a_0_21_fraenkel: $i ).
thf(tp_a_0_22_fraenkel,type,
a_0_22_fraenkel: $i ).
thf(tp_a_0_23_fraenkel,type,
a_0_23_fraenkel: $i ).
thf(tp_a_0_24_fraenkel,type,
a_0_24_fraenkel: $i ).
thf(tp_a_0_25_fraenkel,type,
a_0_25_fraenkel: $i ).
thf(tp_a_0_26_fraenkel,type,
a_0_26_fraenkel: $i ).
thf(tp_a_0_27_fraenkel,type,
a_0_27_fraenkel: $i ).
thf(tp_a_0_28_fraenkel,type,
a_0_28_fraenkel: $i ).
thf(tp_a_0_29_fraenkel,type,
a_0_29_fraenkel: $i ).
thf(tp_a_0_2_fraenkel,type,
a_0_2_fraenkel: $i ).
thf(tp_a_0_30_fraenkel,type,
a_0_30_fraenkel: $i ).
thf(tp_a_0_31_fraenkel,type,
a_0_31_fraenkel: $i ).
thf(tp_a_0_32_fraenkel,type,
a_0_32_fraenkel: $i ).
thf(tp_a_0_33_fraenkel,type,
a_0_33_fraenkel: $i ).
thf(tp_a_0_34_fraenkel,type,
a_0_34_fraenkel: $i ).
thf(tp_a_0_35_fraenkel,type,
a_0_35_fraenkel: $i ).
thf(tp_a_0_36_fraenkel,type,
a_0_36_fraenkel: $i ).
thf(tp_a_0_37_fraenkel,type,
a_0_37_fraenkel: $i ).
thf(tp_a_0_38_fraenkel,type,
a_0_38_fraenkel: $i ).
thf(tp_a_0_39_fraenkel,type,
a_0_39_fraenkel: $i ).
thf(tp_a_0_3_fraenkel,type,
a_0_3_fraenkel: $i ).
thf(tp_a_0_40_fraenkel,type,
a_0_40_fraenkel: $i ).
thf(tp_a_0_4_fraenkel,type,
a_0_4_fraenkel: $i ).
thf(tp_a_0_5_fraenkel,type,
a_0_5_fraenkel: $i ).
thf(tp_a_0_6_fraenkel,type,
a_0_6_fraenkel: $i ).
thf(tp_a_0_7_fraenkel,type,
a_0_7_fraenkel: $i ).
thf(tp_a_0_8_fraenkel,type,
a_0_8_fraenkel: $i ).
thf(tp_a_0_9_fraenkel,type,
a_0_9_fraenkel: $i ).
thf(tp_a_1_0_closure2,type,
a_1_0_closure2: $i > $i ).
thf(tp_a_1_0_finseq_1,type,
a_1_0_finseq_1: $i > $i ).
thf(tp_a_1_0_finseq_2,type,
a_1_0_finseq_2: $i > $i ).
thf(tp_a_1_1_finseq_2,type,
a_1_1_finseq_2: $i > $i ).
thf(tp_a_1_2_finseq_2,type,
a_1_2_finseq_2: $i > $i ).
thf(tp_a_1_3_finseq_2,type,
a_1_3_finseq_2: $i > $i ).
thf(tp_a_2_0_closure2,type,
a_2_0_closure2: $i > $i > $i ).
thf(tp_a_2_0_closure3,type,
a_2_0_closure3: $i > $i > $i ).
thf(tp_a_2_0_finseq_2,type,
a_2_0_finseq_2: $i > $i > $i ).
thf(tp_a_2_0_funct_6,type,
a_2_0_funct_6: $i > $i > $i ).
thf(tp_a_2_0_pre_circ,type,
a_2_0_pre_circ: $i > $i > $i ).
thf(tp_a_2_1_pre_circ,type,
a_2_1_pre_circ: $i > $i > $i ).
thf(tp_a_3_0_closure2,type,
a_3_0_closure2: $i > $i > $i > $i ).
thf(tp_a_3_0_finseq_2,type,
a_3_0_finseq_2: $i > $i > $i > $i ).
thf(tp_a_3_0_funct_6,type,
a_3_0_funct_6: $i > $i > $i > $i ).
thf(tp_a_3_0_pralg_2,type,
a_3_0_pralg_2: $i > $i > $i > $i ).
thf(tp_a_3_0_pre_circ,type,
a_3_0_pre_circ: $i > $i > $i > $i ).
thf(tp_a_3_1_closure2,type,
a_3_1_closure2: $i > $i > $i > $i ).
thf(tp_a_3_2_closure2,type,
a_3_2_closure2: $i > $i > $i > $i ).
thf(tp_a_4_0_closure2,type,
a_4_0_closure2: $i > $i > $i > $i > $i ).
thf(tp_a_4_0_msualg_2,type,
a_4_0_msualg_2: $i > $i > $i > $i > $i ).
thf(tp_f1_s10_fraenkel,type,
f1_s10_fraenkel: $i ).
thf(tp_f1_s10_funct_2,type,
f1_s10_funct_2: $i ).
thf(tp_f1_s10_ordinal2,type,
f1_s10_ordinal2: $i ).
thf(tp_f1_s11_fraenkel,type,
f1_s11_fraenkel: $i ).
thf(tp_f1_s11_funct_2,type,
f1_s11_funct_2: $i ).
thf(tp_f1_s11_ordinal2,type,
f1_s11_ordinal2: $i ).
thf(tp_f1_s12_fraenkel,type,
f1_s12_fraenkel: $i ).
thf(tp_f1_s12_funct_2,type,
f1_s12_funct_2: $i ).
thf(tp_f1_s12_ordinal2,type,
f1_s12_ordinal2: $i ).
thf(tp_f1_s13_fraenkel,type,
f1_s13_fraenkel: $i ).
thf(tp_f1_s13_funct_2,type,
f1_s13_funct_2: $i ).
thf(tp_f1_s13_ordinal2,type,
f1_s13_ordinal2: $i ).
thf(tp_f1_s14_fraenkel,type,
f1_s14_fraenkel: $i ).
thf(tp_f1_s14_funct_2,type,
f1_s14_funct_2: $i ).
thf(tp_f1_s14_ordinal2,type,
f1_s14_ordinal2: $i > $i ).
thf(tp_f1_s15_fraenkel,type,
f1_s15_fraenkel: $i ).
thf(tp_f1_s15_ordinal2,type,
f1_s15_ordinal2: $i ).
thf(tp_f1_s16_fraenkel,type,
f1_s16_fraenkel: $i ).
thf(tp_f1_s16_ordinal2,type,
f1_s16_ordinal2: $i ).
thf(tp_f1_s17_fraenkel,type,
f1_s17_fraenkel: $i ).
thf(tp_f1_s18_fraenkel,type,
f1_s18_fraenkel: $i ).
thf(tp_f1_s19_fraenkel,type,
f1_s19_fraenkel: $i ).
thf(tp_f1_s1_card_3,type,
f1_s1_card_3: $i ).
thf(tp_f1_s1_finseq_1,type,
f1_s1_finseq_1: $i ).
thf(tp_f1_s1_finseq_2,type,
f1_s1_finseq_2: $i ).
thf(tp_f1_s1_finset_1,type,
f1_s1_finset_1: $i ).
thf(tp_f1_s1_fraenkel,type,
f1_s1_fraenkel: $i ).
thf(tp_f1_s1_funct_1,type,
f1_s1_funct_1: $i ).
thf(tp_f1_s1_funct_2,type,
f1_s1_funct_2: $i ).
thf(tp_f1_s1_mssubfam,type,
f1_s1_mssubfam: $i ).
thf(tp_f1_s1_partfun1,type,
f1_s1_partfun1: $i ).
thf(tp_f1_s1_pboole,type,
f1_s1_pboole: $i ).
thf(tp_f1_s1_pre_circ,type,
f1_s1_pre_circ: $i ).
thf(tp_f1_s1_relat_1,type,
f1_s1_relat_1: $i ).
thf(tp_f1_s1_relset_1,type,
f1_s1_relset_1: $i ).
thf(tp_f1_s1_subset_1,type,
f1_s1_subset_1: $i ).
thf(tp_f1_s1_tarski,type,
f1_s1_tarski: $i ).
thf(tp_f1_s1_xboole_0,type,
f1_s1_xboole_0: $i ).
thf(tp_f1_s20_fraenkel,type,
f1_s20_fraenkel: $i ).
thf(tp_f1_s21_fraenkel,type,
f1_s21_fraenkel: $i ).
thf(tp_f1_s22_fraenkel,type,
f1_s22_fraenkel: $i ).
thf(tp_f1_s23_fraenkel,type,
f1_s23_fraenkel: $i ).
thf(tp_f1_s24_fraenkel,type,
f1_s24_fraenkel: $i ).
thf(tp_f1_s25_fraenkel,type,
f1_s25_fraenkel: $i ).
thf(tp_f1_s26_fraenkel,type,
f1_s26_fraenkel: $i ).
thf(tp_f1_s27_fraenkel,type,
f1_s27_fraenkel: $i ).
thf(tp_f1_s2_card_3,type,
f1_s2_card_3: $i ).
thf(tp_f1_s2_finseq_1,type,
f1_s2_finseq_1: $i ).
thf(tp_f1_s2_finseq_2,type,
f1_s2_finseq_2: $i ).
thf(tp_f1_s2_finset_1,type,
f1_s2_finset_1: $i ).
thf(tp_f1_s2_fraenkel,type,
f1_s2_fraenkel: $i ).
thf(tp_f1_s2_funct_1,type,
f1_s2_funct_1: $i ).
thf(tp_f1_s2_funct_2,type,
f1_s2_funct_2: $i ).
thf(tp_f1_s2_int_1,type,
f1_s2_int_1: $i ).
thf(tp_f1_s2_ordinal2,type,
f1_s2_ordinal2: $i ).
thf(tp_f1_s2_partfun1,type,
f1_s2_partfun1: $i ).
thf(tp_f1_s2_pboole,type,
f1_s2_pboole: $i ).
thf(tp_f1_s2_pre_circ,type,
f1_s2_pre_circ: $i ).
thf(tp_f1_s2_relset_1,type,
f1_s2_relset_1: $i ).
thf(tp_f1_s2_subset_1,type,
f1_s2_subset_1: $i ).
thf(tp_f1_s2_xboole_0,type,
f1_s2_xboole_0: $i ).
thf(tp_f1_s3_card_3,type,
f1_s3_card_3: $i ).
thf(tp_f1_s3_fraenkel,type,
f1_s3_fraenkel: $i ).
thf(tp_f1_s3_funct_1,type,
f1_s3_funct_1: $i ).
thf(tp_f1_s3_funct_2,type,
f1_s3_funct_2: $i ).
thf(tp_f1_s3_int_1,type,
f1_s3_int_1: $i ).
thf(tp_f1_s3_ordinal1,type,
f1_s3_ordinal1: $i ).
thf(tp_f1_s3_ordinal2,type,
f1_s3_ordinal2: $i ).
thf(tp_f1_s3_partfun1,type,
f1_s3_partfun1: $i ).
thf(tp_f1_s3_pboole,type,
f1_s3_pboole: $i ).
thf(tp_f1_s3_pre_circ,type,
f1_s3_pre_circ: $i ).
thf(tp_f1_s3_subset_1,type,
f1_s3_subset_1: $i ).
thf(tp_f1_s4_card_3,type,
f1_s4_card_3: $i ).
thf(tp_f1_s4_finseq_1,type,
f1_s4_finseq_1: $i ).
thf(tp_f1_s4_fraenkel,type,
f1_s4_fraenkel: $i ).
thf(tp_f1_s4_funct_1,type,
f1_s4_funct_1: $i ).
thf(tp_f1_s4_funct_2,type,
f1_s4_funct_2: $i ).
thf(tp_f1_s4_int_1,type,
f1_s4_int_1: $i ).
thf(tp_f1_s4_ordinal1,type,
f1_s4_ordinal1: $i ).
thf(tp_f1_s4_ordinal2,type,
f1_s4_ordinal2: $i ).
thf(tp_f1_s4_partfun1,type,
f1_s4_partfun1: $i ).
thf(tp_f1_s4_pboole,type,
f1_s4_pboole: $i ).
thf(tp_f1_s4_pre_circ,type,
f1_s4_pre_circ: $i ).
thf(tp_f1_s4_subset_1,type,
f1_s4_subset_1: $i ).
thf(tp_f1_s5_finseq_1,type,
f1_s5_finseq_1: $i ).
thf(tp_f1_s5_fraenkel,type,
f1_s5_fraenkel: $i ).
thf(tp_f1_s5_funct_2,type,
f1_s5_funct_2: $i ).
thf(tp_f1_s5_int_1,type,
f1_s5_int_1: $i ).
thf(tp_f1_s5_ordinal1,type,
f1_s5_ordinal1: $i ).
thf(tp_f1_s5_ordinal2,type,
f1_s5_ordinal2: $i ).
thf(tp_f1_s5_partfun1,type,
f1_s5_partfun1: $i ).
thf(tp_f1_s5_pboole,type,
f1_s5_pboole: $i ).
thf(tp_f1_s6_fraenkel,type,
f1_s6_fraenkel: $i ).
thf(tp_f1_s6_funct_2,type,
f1_s6_funct_2: $i ).
thf(tp_f1_s6_int_1,type,
f1_s6_int_1: $i ).
thf(tp_f1_s6_ordinal2,type,
f1_s6_ordinal2: $i ).
thf(tp_f1_s7_fraenkel,type,
f1_s7_fraenkel: $i ).
thf(tp_f1_s7_funct_2,type,
f1_s7_funct_2: $i ).
thf(tp_f1_s7_ordinal2,type,
f1_s7_ordinal2: $i ).
thf(tp_f1_s8_fraenkel,type,
f1_s8_fraenkel: $i ).
thf(tp_f1_s8_funct_2,type,
f1_s8_funct_2: $i ).
thf(tp_f1_s8_ordinal2,type,
f1_s8_ordinal2: $i > $i ).
thf(tp_f1_s9_fraenkel,type,
f1_s9_fraenkel: $i ).
thf(tp_f1_s9_funct_2,type,
f1_s9_funct_2: $i ).
thf(tp_f1_s9_ordinal2,type,
f1_s9_ordinal2: $i ).
thf(tp_f2_s10_funct_2,type,
f2_s10_funct_2: $i ).
thf(tp_f2_s10_ordinal2,type,
f2_s10_ordinal2: $i ).
thf(tp_f2_s11_fraenkel,type,
f2_s11_fraenkel: $i ).
thf(tp_f2_s11_funct_2,type,
f2_s11_funct_2: $i ).
thf(tp_f2_s11_ordinal2,type,
f2_s11_ordinal2: $i ).
thf(tp_f2_s12_fraenkel,type,
f2_s12_fraenkel: $i ).
thf(tp_f2_s12_funct_2,type,
f2_s12_funct_2: $i ).
thf(tp_f2_s12_ordinal2,type,
f2_s12_ordinal2: $i > $i ).
thf(tp_f2_s13_fraenkel,type,
f2_s13_fraenkel: $i ).
thf(tp_f2_s13_funct_2,type,
f2_s13_funct_2: $i ).
thf(tp_f2_s13_ordinal2,type,
f2_s13_ordinal2: $i ).
thf(tp_f2_s14_fraenkel,type,
f2_s14_fraenkel: $i > $i ).
thf(tp_f2_s14_funct_2,type,
f2_s14_funct_2: $i ).
thf(tp_f2_s14_ordinal2,type,
f2_s14_ordinal2: $i ).
thf(tp_f2_s15_fraenkel,type,
f2_s15_fraenkel: $i ).
thf(tp_f2_s15_ordinal2,type,
f2_s15_ordinal2: $i > $i > $i ).
thf(tp_f2_s16_fraenkel,type,
f2_s16_fraenkel: $i ).
thf(tp_f2_s16_ordinal2,type,
f2_s16_ordinal2: $i ).
thf(tp_f2_s17_fraenkel,type,
f2_s17_fraenkel: $i ).
thf(tp_f2_s18_fraenkel,type,
f2_s18_fraenkel: $i ).
thf(tp_f2_s19_fraenkel,type,
f2_s19_fraenkel: $i ).
thf(tp_f2_s1_card_3,type,
f2_s1_card_3: $i > $i ).
thf(tp_f2_s1_finseq_2,type,
f2_s1_finseq_2: $i ).
thf(tp_f2_s1_finset_1,type,
f2_s1_finset_1: $i > $i ).
thf(tp_f2_s1_fraenkel,type,
f2_s1_fraenkel: $i > $i ).
thf(tp_f2_s1_funct_2,type,
f2_s1_funct_2: $i ).
thf(tp_f2_s1_mssubfam,type,
f2_s1_mssubfam: $i ).
thf(tp_f2_s1_partfun1,type,
f2_s1_partfun1: $i > $i ).
thf(tp_f2_s1_pboole,type,
f2_s1_pboole: $i > $i ).
thf(tp_f2_s1_pre_circ,type,
f2_s1_pre_circ: $i > $i ).
thf(tp_f2_s1_relat_1,type,
f2_s1_relat_1: $i ).
thf(tp_f2_s1_relset_1,type,
f2_s1_relset_1: $i ).
thf(tp_f2_s20_fraenkel,type,
f2_s20_fraenkel: $i ).
thf(tp_f2_s21_fraenkel,type,
f2_s21_fraenkel: $i ).
thf(tp_f2_s22_fraenkel,type,
f2_s22_fraenkel: $i ).
thf(tp_f2_s23_fraenkel,type,
f2_s23_fraenkel: $i ).
thf(tp_f2_s24_fraenkel,type,
f2_s24_fraenkel: $i ).
thf(tp_f2_s25_fraenkel,type,
f2_s25_fraenkel: $i ).
thf(tp_f2_s26_fraenkel,type,
f2_s26_fraenkel: $i ).
thf(tp_f2_s27_fraenkel,type,
f2_s27_fraenkel: $i ).
thf(tp_f2_s2_finseq_1,type,
f2_s2_finseq_1: $i > $i ).
thf(tp_f2_s2_fraenkel,type,
f2_s2_fraenkel: $i ).
thf(tp_f2_s2_funct_2,type,
f2_s2_funct_2: $i ).
thf(tp_f2_s2_ordinal2,type,
f2_s2_ordinal2: $i > $i ).
thf(tp_f2_s2_partfun1,type,
f2_s2_partfun1: $i ).
thf(tp_f2_s2_pboole,type,
f2_s2_pboole: $i ).
thf(tp_f2_s2_pre_circ,type,
f2_s2_pre_circ: $i > $i ).
thf(tp_f2_s2_relset_1,type,
f2_s2_relset_1: $i ).
thf(tp_f2_s2_xboole_0,type,
f2_s2_xboole_0: $i ).
thf(tp_f2_s3_fraenkel,type,
f2_s3_fraenkel: $i > $i ).
thf(tp_f2_s3_funct_1,type,
f2_s3_funct_1: $i > $i ).
thf(tp_f2_s3_funct_2,type,
f2_s3_funct_2: $i ).
thf(tp_f2_s3_ordinal1,type,
f2_s3_ordinal1: $i > $i ).
thf(tp_f2_s3_ordinal2,type,
f2_s3_ordinal2: $i > $i ).
thf(tp_f2_s3_partfun1,type,
f2_s3_partfun1: $i ).
thf(tp_f2_s3_pre_circ,type,
f2_s3_pre_circ: $i ).
thf(tp_f2_s4_card_3,type,
f2_s4_card_3: $i > $i ).
thf(tp_f2_s4_fraenkel,type,
f2_s4_fraenkel: $i ).
thf(tp_f2_s4_funct_1,type,
f2_s4_funct_1: $i > $i ).
thf(tp_f2_s4_funct_2,type,
f2_s4_funct_2: $i ).
thf(tp_f2_s4_ordinal1,type,
f2_s4_ordinal1: $i > $i ).
thf(tp_f2_s4_ordinal2,type,
f2_s4_ordinal2: $i ).
thf(tp_f2_s4_partfun1,type,
f2_s4_partfun1: $i ).
thf(tp_f2_s4_pboole,type,
f2_s4_pboole: $i > $i ).
thf(tp_f2_s4_pre_circ,type,
f2_s4_pre_circ: $i ).
thf(tp_f2_s4_subset_1,type,
f2_s4_subset_1: $i ).
thf(tp_f2_s5_finseq_1,type,
f2_s5_finseq_1: $i ).
thf(tp_f2_s5_fraenkel,type,
f2_s5_fraenkel: $i > $i ).
thf(tp_f2_s5_funct_2,type,
f2_s5_funct_2: $i ).
thf(tp_f2_s5_ordinal1,type,
f2_s5_ordinal1: $i > $i ).
thf(tp_f2_s5_ordinal2,type,
f2_s5_ordinal2: $i ).
thf(tp_f2_s5_partfun1,type,
f2_s5_partfun1: $i ).
thf(tp_f2_s5_pboole,type,
f2_s5_pboole: $i > $i ).
thf(tp_f2_s6_fraenkel,type,
f2_s6_fraenkel: $i > $i ).
thf(tp_f2_s6_funct_2,type,
f2_s6_funct_2: $i ).
thf(tp_f2_s6_ordinal2,type,
f2_s6_ordinal2: $i > $i ).
thf(tp_f2_s7_fraenkel,type,
f2_s7_fraenkel: $i ).
thf(tp_f2_s7_funct_2,type,
f2_s7_funct_2: $i ).
thf(tp_f2_s7_ordinal2,type,
f2_s7_ordinal2: $i ).
thf(tp_f2_s8_fraenkel,type,
f2_s8_fraenkel: $i ).
thf(tp_f2_s8_funct_2,type,
f2_s8_funct_2: $i ).
thf(tp_f2_s8_ordinal2,type,
f2_s8_ordinal2: $i ).
thf(tp_f2_s9_fraenkel,type,
f2_s9_fraenkel: $i ).
thf(tp_f2_s9_funct_2,type,
f2_s9_funct_2: $i ).
thf(tp_f2_s9_ordinal2,type,
f2_s9_ordinal2: $i > $i > $i ).
thf(tp_f3_s10_funct_2,type,
f3_s10_funct_2: $i ).
thf(tp_f3_s10_ordinal2,type,
f3_s10_ordinal2: $i > $i ).
thf(tp_f3_s11_fraenkel,type,
f3_s11_fraenkel: $i > $i > $i ).
thf(tp_f3_s11_funct_2,type,
f3_s11_funct_2: $i ).
thf(tp_f3_s11_ordinal2,type,
f3_s11_ordinal2: $i > $i > $i ).
thf(tp_f3_s12_fraenkel,type,
f3_s12_fraenkel: $i > $i > $i ).
thf(tp_f3_s12_funct_2,type,
f3_s12_funct_2: $i > $i ).
thf(tp_f3_s12_ordinal2,type,
f3_s12_ordinal2: $i ).
thf(tp_f3_s13_fraenkel,type,
f3_s13_fraenkel: $i ).
thf(tp_f3_s13_funct_2,type,
f3_s13_funct_2: $i > $i ).
thf(tp_f3_s13_ordinal2,type,
f3_s13_ordinal2: $i > $i > $i ).
thf(tp_f3_s14_ordinal2,type,
f3_s14_ordinal2: $i > $i > $i ).
thf(tp_f3_s15_fraenkel,type,
f3_s15_fraenkel: $i > $i > $i ).
thf(tp_f3_s15_ordinal2,type,
f3_s15_ordinal2: $i > $i > $i ).
thf(tp_f3_s16_fraenkel,type,
f3_s16_fraenkel: $i > $i > $i ).
thf(tp_f3_s16_ordinal2,type,
f3_s16_ordinal2: $i > $i ).
thf(tp_f3_s17_fraenkel,type,
f3_s17_fraenkel: $i > $i ).
thf(tp_f3_s18_fraenkel,type,
f3_s18_fraenkel: $i > $i ).
thf(tp_f3_s19_fraenkel,type,
f3_s19_fraenkel: $i > $i > $i ).
thf(tp_f3_s1_finseq_2,type,
f3_s1_finseq_2: $i > $i ).
thf(tp_f3_s1_finset_1,type,
f3_s1_finset_1: $i > $i ).
thf(tp_f3_s1_mssubfam,type,
f3_s1_mssubfam: $i ).
thf(tp_f3_s1_partfun1,type,
f3_s1_partfun1: $i > $i ).
thf(tp_f3_s20_fraenkel,type,
f3_s20_fraenkel: $i > $i > $i ).
thf(tp_f3_s21_fraenkel,type,
f3_s21_fraenkel: $i > $i ).
thf(tp_f3_s22_fraenkel,type,
f3_s22_fraenkel: $i ).
thf(tp_f3_s24_fraenkel,type,
f3_s24_fraenkel: $i ).
thf(tp_f3_s25_fraenkel,type,
f3_s25_fraenkel: $i ).
thf(tp_f3_s26_fraenkel,type,
f3_s26_fraenkel: $i ).
thf(tp_f3_s27_fraenkel,type,
f3_s27_fraenkel: $i ).
thf(tp_f3_s2_fraenkel,type,
f3_s2_fraenkel: $i > $i > $i ).
thf(tp_f3_s2_funct_2,type,
f3_s2_funct_2: $i > $i ).
thf(tp_f3_s2_pre_circ,type,
f3_s2_pre_circ: $i > $i ).
thf(tp_f3_s3_ordinal1,type,
f3_s3_ordinal1: $i ).
thf(tp_f3_s3_partfun1,type,
f3_s3_partfun1: $i > $i ).
thf(tp_f3_s3_pre_circ,type,
f3_s3_pre_circ: $i > $i > $i ).
thf(tp_f3_s4_fraenkel,type,
f3_s4_fraenkel: $i > $i > $i ).
thf(tp_f3_s4_funct_2,type,
f3_s4_funct_2: $i > $i ).
thf(tp_f3_s4_ordinal2,type,
f3_s4_ordinal2: $i > $i > $i ).
thf(tp_f3_s4_partfun1,type,
f3_s4_partfun1: $i ).
thf(tp_f3_s4_pre_circ,type,
f3_s4_pre_circ: $i ).
thf(tp_f3_s4_subset_1,type,
f3_s4_subset_1: $i ).
thf(tp_f3_s5_fraenkel,type,
f3_s5_fraenkel: $i > $i ).
thf(tp_f3_s5_funct_2,type,
f3_s5_funct_2: $i ).
thf(tp_f3_s5_ordinal1,type,
f3_s5_ordinal1: $i > $i ).
thf(tp_f3_s5_ordinal2,type,
f3_s5_ordinal2: $i > $i > $i ).
thf(tp_f3_s5_partfun1,type,
f3_s5_partfun1: $i ).
thf(tp_f3_s6_fraenkel,type,
f3_s6_fraenkel: $i > $i ).
thf(tp_f3_s6_funct_2,type,
f3_s6_funct_2: $i ).
thf(tp_f3_s6_ordinal2,type,
f3_s6_ordinal2: $i ).
thf(tp_f3_s7_fraenkel,type,
f3_s7_fraenkel: $i > $i > $i ).
thf(tp_f3_s7_funct_2,type,
f3_s7_funct_2: $i ).
thf(tp_f3_s7_ordinal2,type,
f3_s7_ordinal2: $i > $i > $i ).
thf(tp_f3_s8_fraenkel,type,
f3_s8_fraenkel: $i > $i > $i ).
thf(tp_f3_s8_funct_2,type,
f3_s8_funct_2: $i ).
thf(tp_f3_s8_ordinal2,type,
f3_s8_ordinal2: $i > $i > $i ).
thf(tp_f3_s9_fraenkel,type,
f3_s9_fraenkel: $i ).
thf(tp_f3_s9_funct_2,type,
f3_s9_funct_2: $i > $i ).
thf(tp_f3_s9_ordinal2,type,
f3_s9_ordinal2: $i > $i > $i ).
thf(tp_f4_s10_funct_2,type,
f4_s10_funct_2: $i ).
thf(tp_f4_s10_ordinal2,type,
f4_s10_ordinal2: $i ).
thf(tp_f4_s11_funct_2,type,
f4_s11_funct_2: $i ).
thf(tp_f4_s11_ordinal2,type,
f4_s11_ordinal2: $i > $i > $i ).
thf(tp_f4_s12_ordinal2,type,
f4_s12_ordinal2: $i ).
thf(tp_f4_s13_fraenkel,type,
f4_s13_fraenkel: $i > $i > $i ).
thf(tp_f4_s13_ordinal2,type,
f4_s13_ordinal2: $i > $i > $i ).
thf(tp_f4_s14_ordinal2,type,
f4_s14_ordinal2: $i > $i > $i ).
thf(tp_f4_s15_ordinal2,type,
f4_s15_ordinal2: $i > $i ).
thf(tp_f4_s16_ordinal2,type,
f4_s16_ordinal2: $i ).
thf(tp_f4_s19_fraenkel,type,
f4_s19_fraenkel: $i ).
thf(tp_f4_s20_fraenkel,type,
f4_s20_fraenkel: $i ).
thf(tp_f4_s22_fraenkel,type,
f4_s22_fraenkel: $i ).
thf(tp_f4_s24_fraenkel,type,
f4_s24_fraenkel: $i > $i ).
thf(tp_f4_s25_fraenkel,type,
f4_s25_fraenkel: $i ).
thf(tp_f4_s3_ordinal1,type,
f4_s3_ordinal1: $i ).
thf(tp_f4_s4_ordinal2,type,
f4_s4_ordinal2: $i > $i > $i ).
thf(tp_f4_s4_pre_circ,type,
f4_s4_pre_circ: $i ).
thf(tp_f4_s5_ordinal2,type,
f4_s5_ordinal2: $i > $i > $i ).
thf(tp_f4_s5_partfun1,type,
f4_s5_partfun1: $i > $i > $i ).
thf(tp_f4_s6_funct_2,type,
f4_s6_funct_2: $i > $i > $i ).
thf(tp_f4_s6_ordinal2,type,
f4_s6_ordinal2: $i ).
thf(tp_f4_s7_fraenkel,type,
f4_s7_fraenkel: $i > $i > $i ).
thf(tp_f4_s7_ordinal2,type,
f4_s7_ordinal2: $i > $i > $i ).
thf(tp_f4_s8_funct_2,type,
f4_s8_funct_2: $i > $i > $i ).
thf(tp_f4_s8_ordinal2,type,
f4_s8_ordinal2: $i > $i > $i ).
thf(tp_f4_s9_fraenkel,type,
f4_s9_fraenkel: $i ).
thf(tp_f4_s9_funct_2,type,
f4_s9_funct_2: $i > $i ).
thf(tp_f4_s9_ordinal2,type,
f4_s9_ordinal2: $i > $i ).
thf(tp_f5_s10_funct_2,type,
f5_s10_funct_2: $i > $i ).
thf(tp_f5_s10_ordinal2,type,
f5_s10_ordinal2: $i > $i > $i ).
thf(tp_f5_s11_funct_2,type,
f5_s11_funct_2: $i ).
thf(tp_f5_s12_ordinal2,type,
f5_s12_ordinal2: $i > $i > $i ).
thf(tp_f5_s16_ordinal2,type,
f5_s16_ordinal2: $i > $i > $i ).
thf(tp_f5_s22_fraenkel,type,
f5_s22_fraenkel: $i > $i > $i ).
thf(tp_f5_s25_fraenkel,type,
f5_s25_fraenkel: $i > $i ).
thf(tp_f5_s4_ordinal2,type,
f5_s4_ordinal2: $i ).
thf(tp_f5_s4_pre_circ,type,
f5_s4_pre_circ: $i > $i ).
thf(tp_f5_s6_ordinal2,type,
f5_s6_ordinal2: $i > $i > $i ).
thf(tp_f5_s9_fraenkel,type,
f5_s9_fraenkel: $i ).
thf(tp_f6_s10_ordinal2,type,
f6_s10_ordinal2: $i > $i > $i ).
thf(tp_f6_s11_funct_2,type,
f6_s11_funct_2: $i ).
thf(tp_f6_s12_ordinal2,type,
f6_s12_ordinal2: $i > $i > $i ).
thf(tp_f6_s16_ordinal2,type,
f6_s16_ordinal2: $i > $i > $i ).
thf(tp_f6_s4_ordinal2,type,
f6_s4_ordinal2: $i ).
thf(tp_f6_s6_ordinal2,type,
f6_s6_ordinal2: $i > $i > $i ).
thf(tp_f7_s11_funct_2,type,
f7_s11_funct_2: $i > $i ).
thf(tp_g1_closure2,type,
g1_closure2: $i > $i > $i > $i ).
thf(tp_g1_group_1,type,
g1_group_1: $i > $i > $i ).
thf(tp_g1_lattices,type,
g1_lattices: $i > $i > $i ).
thf(tp_g1_msualg_1,type,
g1_msualg_1: $i > $i > $i > $i > $i ).
thf(tp_g1_rlvect_1,type,
g1_rlvect_1: $i > $i > $i > $i ).
thf(tp_g1_struct_0,type,
g1_struct_0: $i > $i ).
thf(tp_g1_unialg_1,type,
g1_unialg_1: $i > $i > $i ).
thf(tp_g1_vectsp_1,type,
g1_vectsp_1: $i > $i > $i > $i ).
thf(tp_g2_lattices,type,
g2_lattices: $i > $i > $i ).
thf(tp_g2_msualg_1,type,
g2_msualg_1: $i > $i > $i ).
thf(tp_g2_rlvect_1,type,
g2_rlvect_1: $i > $i > $i > $i > $i ).
thf(tp_g2_struct_0,type,
g2_struct_0: $i > $i > $i ).
thf(tp_g2_vectsp_1,type,
g2_vectsp_1: $i > $i > $i > $i > $i ).
thf(tp_g3_lattices,type,
g3_lattices: $i > $i > $i > $i ).
thf(tp_g3_msualg_1,type,
g3_msualg_1: $i > $i > $i > $i ).
thf(tp_g3_vectsp_1,type,
g3_vectsp_1: $i > $i > $i > $i > $i > $i ).
thf(tp_g4_vectsp_1,type,
g4_vectsp_1: $i > $i > $i > $i > $i > $i ).
thf(tp_k10_closure2,type,
k10_closure2: $i > $i > $i > $i ).
thf(tp_k10_finseq_1,type,
k10_finseq_1: $i > $i > $i ).
thf(tp_k10_funcop_1,type,
k10_funcop_1: $i > $i > $i > $i > $i ).
thf(tp_k10_funct_6,type,
k10_funct_6: $i > $i ).
thf(tp_k10_group_1,type,
k10_group_1: $i > $i > $i > $i ).
thf(tp_k10_msualg_1,type,
k10_msualg_1: $i > $i ).
thf(tp_k10_msualg_2,type,
k10_msualg_2: $i > $i > $i > $i ).
thf(tp_k10_ordinal2,type,
k10_ordinal2: $i > $i ).
thf(tp_k10_pboole,type,
k10_pboole: $i > $i > $i ).
thf(tp_k10_pralg_2,type,
k10_pralg_2: $i > $i > $i > $i > $i ).
thf(tp_k10_relat_1,type,
k10_relat_1: $i > $i > $i ).
thf(tp_k10_relset_1,type,
k10_relset_1: $i > $i > $i > $i > $i ).
thf(tp_k10_seq_1,type,
k10_seq_1: $i > $i > $i ).
thf(tp_k11_closure2,type,
k11_closure2: $i > $i > $i > $i ).
thf(tp_k11_finseq_1,type,
k11_finseq_1: $i > $i > $i > $i ).
thf(tp_k11_msualg_1,type,
k11_msualg_1: $i > $i > $i ).
thf(tp_k11_msualg_2,type,
k11_msualg_2: $i > $i > $i > $i > $i ).
thf(tp_k11_ordinal2,type,
k11_ordinal2: $i > $i ).
thf(tp_k11_pboole,type,
k11_pboole: $i > $i > $i > $i ).
thf(tp_k11_pralg_2,type,
k11_pralg_2: $i > $i > $i > $i ).
thf(tp_k11_relset_1,type,
k11_relset_1: $i > $i > $i > $i > $i ).
thf(tp_k11_seq_1,type,
k11_seq_1: $i > $i > $i ).
thf(tp_k12_closure2,type,
k12_closure2: $i > $i > $i ).
thf(tp_k12_finseq_1,type,
k12_finseq_1: $i > $i > $i ).
thf(tp_k12_funct_3,type,
k12_funct_3: $i > $i ).
thf(tp_k12_msualg_1,type,
k12_msualg_1: $i > $i > $i ).
thf(tp_k12_msualg_2,type,
k12_msualg_2: $i > $i > $i > $i ).
thf(tp_k12_ordinal2,type,
k12_ordinal2: $i > $i ).
thf(tp_k12_pboole,type,
k12_pboole: $i > $i > $i > $i ).
thf(tp_k12_pralg_2,type,
k12_pralg_2: $i > $i > $i > $i ).
thf(tp_k13_arytm_3,type,
k13_arytm_3: $i ).
thf(tp_k13_finseq_1,type,
k13_finseq_1: $i > $i ).
thf(tp_k13_funct_3,type,
k13_funct_3: $i > $i > $i ).
thf(tp_k13_msualg_1,type,
k13_msualg_1: $i > $i > $i ).
thf(tp_k13_msualg_2,type,
k13_msualg_2: $i > $i > $i > $i > $i ).
thf(tp_k13_ordinal2,type,
k13_ordinal2: $i > $i > $i ).
thf(tp_k13_pboole,type,
k13_pboole: $i > $i > $i ).
thf(tp_k13_pralg_2,type,
k13_pralg_2: $i > $i > $i > $i > $i ).
thf(tp_k13_trees_3,type,
k13_trees_3: $i > $i ).
thf(tp_k14_finseq_1,type,
k14_finseq_1: $i > $i ).
thf(tp_k14_msualg_2,type,
k14_msualg_2: $i > $i > $i ).
thf(tp_k14_ordinal2,type,
k14_ordinal2: $i > $i > $i ).
thf(tp_k14_pboole,type,
k14_pboole: $i > $i > $i > $i ).
thf(tp_k14_pralg_2,type,
k14_pralg_2: $i > $i > $i > $i ).
thf(tp_k15_finseq_1,type,
k15_finseq_1: $i > $i ).
thf(tp_k15_funct_3,type,
k15_funct_3: $i > $i > $i ).
thf(tp_k15_mcart_1,type,
k15_mcart_1: $i > $i ).
thf(tp_k15_msualg_2,type,
k15_msualg_2: $i > $i > $i ).
thf(tp_k15_ordinal2,type,
k15_ordinal2: $i > $i > $i ).
thf(tp_k15_pralg_1,type,
k15_pralg_1: $i > $i > $i ).
thf(tp_k15_pralg_2,type,
k15_pralg_2: $i > $i > $i > $i ).
thf(tp_k16_finseq_1,type,
k16_finseq_1: $i > $i > $i > $i ).
thf(tp_k16_mcart_1,type,
k16_mcart_1: $i > $i ).
thf(tp_k16_msualg_2,type,
k16_msualg_2: $i > $i > $i ).
thf(tp_k16_ordinal2,type,
k16_ordinal2: $i > $i > $i ).
thf(tp_k17_finseq_1,type,
k17_finseq_1: $i > $i ).
thf(tp_k17_msualg_2,type,
k17_msualg_2: $i > $i > $i ).
thf(tp_k18_complex1,type,
k18_complex1: $i > $i ).
thf(tp_k18_seq_1,type,
k18_seq_1: $i > $i ).
thf(tp_k1_binop_1,type,
k1_binop_1: $i > $i > $i > $i ).
thf(tp_k1_card_1,type,
k1_card_1: $i > $i ).
thf(tp_k1_card_3,type,
k1_card_3: $i > $i ).
thf(tp_k1_closure2,type,
k1_closure2: $i > $i > $i ).
thf(tp_k1_closure3,type,
k1_closure3: $i > $i > $i ).
thf(tp_k1_cqc_lang,type,
k1_cqc_lang: $i > $i > $i > $i > $i ).
thf(tp_k1_domain_1,type,
k1_domain_1: $i > $i > $i > $i > $i ).
thf(tp_k1_enumset1,type,
k1_enumset1: $i > $i > $i > $i ).
thf(tp_k1_finseq_1,type,
k1_finseq_1: $i > $i ).
thf(tp_k1_finseq_2,type,
k1_finseq_2: $i > $i ).
thf(tp_k1_fraenkel,type,
k1_fraenkel: $i > $i > $i ).
thf(tp_k1_funcop_1,type,
k1_funcop_1: $i > $i ).
thf(tp_k1_funct_1,type,
k1_funct_1: $i > $i > $i ).
thf(tp_k1_funct_2,type,
k1_funct_2: $i > $i > $i ).
thf(tp_k1_funct_4,type,
k1_funct_4: $i > $i > $i ).
thf(tp_k1_funct_5,type,
k1_funct_5: $i > $i ).
thf(tp_k1_funct_6,type,
k1_funct_6: $i > $i ).
thf(tp_k1_group_1,type,
k1_group_1: $i > $i > $i > $i ).
thf(tp_k1_int_1,type,
k1_int_1: $i > $i ).
thf(tp_k1_int_2,type,
k1_int_2: $i > $i ).
thf(tp_k1_lattices,type,
k1_lattices: $i > $i > $i > $i ).
thf(tp_k1_mboolean,type,
k1_mboolean: $i > $i > $i ).
thf(tp_k1_mcart_1,type,
k1_mcart_1: $i > $i ).
thf(tp_k1_mssubfam,type,
k1_mssubfam: $i > $i > $i ).
thf(tp_k1_msualg_1,type,
k1_msualg_1: $i > $i > $i ).
thf(tp_k1_msualg_2,type,
k1_msualg_2: $i > $i > $i > $i ).
thf(tp_k1_nat_1,type,
k1_nat_1: $i > $i > $i ).
thf(tp_k1_numbers,type,
k1_numbers: $i ).
thf(tp_k1_ordinal1,type,
k1_ordinal1: $i > $i ).
thf(tp_k1_ordinal2,type,
k1_ordinal2: $i > $i ).
thf(tp_k1_partfun1,type,
k1_partfun1: $i > $i > $i > $i > $i > $i > $i ).
thf(tp_k1_pboole,type,
k1_pboole: $i > $i ).
thf(tp_k1_pralg_2,type,
k1_pralg_2: $i > $i ).
thf(tp_k1_pre_circ,type,
k1_pre_circ: $i > $i ).
thf(tp_k1_pzfmisc1,type,
k1_pzfmisc1: $i > $i > $i ).
thf(tp_k1_real_1,type,
k1_real_1: $i > $i ).
thf(tp_k1_realset1,type,
k1_realset1: $i > $i > $i ).
thf(tp_k1_realset2,type,
k1_realset2: $i > $i > $i > $i > $i > $i ).
thf(tp_k1_relat_1,type,
k1_relat_1: $i > $i ).
thf(tp_k1_relset_1,type,
k1_relset_1: $i > $i > $i > $i > $i ).
thf(tp_k1_rlvect_1,type,
k1_rlvect_1: $i > $i ).
thf(tp_k1_seq_4,type,
k1_seq_4: $i > $i ).
thf(tp_k1_seqm_3,type,
k1_seqm_3: $i > $i > $i ).
thf(tp_k1_setfam_1,type,
k1_setfam_1: $i > $i ).
thf(tp_k1_struct_0,type,
k1_struct_0: $i > $i > $i ).
thf(tp_k1_subset_1,type,
k1_subset_1: $i > $i ).
thf(tp_k1_tarski,type,
k1_tarski: $i > $i ).
thf(tp_k1_trees_4,type,
k1_trees_4: $i > $i ).
thf(tp_k1_unialg_1,type,
k1_unialg_1: $i > $i > $i ).
thf(tp_k1_vectsp_1,type,
k1_vectsp_1: $i ).
thf(tp_k1_xboole_0,type,
k1_xboole_0: $i ).
thf(tp_k1_zfmisc_1,type,
k1_zfmisc_1: $i > $i ).
thf(tp_k22_seq_1,type,
k22_seq_1: $i > $i ).
thf(tp_k2_arytm_2,type,
k2_arytm_2: $i ).
thf(tp_k2_binop_1,type,
k2_binop_1: $i > $i > $i > $i > $i > $i > $i ).
thf(tp_k2_card_1,type,
k2_card_1: $i > $i ).
thf(tp_k2_card_2,type,
k2_card_2: $i > $i > $i ).
thf(tp_k2_card_3,type,
k2_card_3: $i > $i ).
thf(tp_k2_closure2,type,
k2_closure2: $i > $i > $i ).
thf(tp_k2_closure3,type,
k2_closure3: $i > $i > $i > $i ).
thf(tp_k2_enumset1,type,
k2_enumset1: $i > $i > $i > $i > $i ).
thf(tp_k2_finseq_1,type,
k2_finseq_1: $i > $i ).
thf(tp_k2_finseq_2,type,
k2_finseq_2: $i > $i > $i ).
thf(tp_k2_funcop_1,type,
k2_funcop_1: $i > $i > $i ).
thf(tp_k2_funct_1,type,
k2_funct_1: $i > $i ).
thf(tp_k2_funct_2,type,
k2_funct_2: $i > $i > $i > $i > $i ).
thf(tp_k2_funct_4,type,
k2_funct_4: $i > $i ).
thf(tp_k2_funct_5,type,
k2_funct_5: $i > $i ).
thf(tp_k2_funct_6,type,
k2_funct_6: $i > $i ).
thf(tp_k2_group_1,type,
k2_group_1: $i > $i ).
thf(tp_k2_int_1,type,
k2_int_1: $i > $i ).
thf(tp_k2_lattices,type,
k2_lattices: $i > $i > $i > $i ).
thf(tp_k2_mboolean,type,
k2_mboolean: $i > $i > $i ).
thf(tp_k2_mcart_1,type,
k2_mcart_1: $i > $i ).
thf(tp_k2_mssubfam,type,
k2_mssubfam: $i > $i > $i ).
thf(tp_k2_msualg_1,type,
k2_msualg_1: $i > $i > $i ).
thf(tp_k2_msualg_2,type,
k2_msualg_2: $i > $i > $i ).
thf(tp_k2_nat_1,type,
k2_nat_1: $i > $i > $i ).
thf(tp_k2_numbers,type,
k2_numbers: $i ).
thf(tp_k2_ordinal1,type,
k2_ordinal1: $i > $i > $i ).
thf(tp_k2_ordinal2,type,
k2_ordinal2: $i > $i ).
thf(tp_k2_partfun1,type,
k2_partfun1: $i > $i > $i > $i > $i ).
thf(tp_k2_pboole,type,
k2_pboole: $i > $i > $i > $i ).
thf(tp_k2_pralg_2,type,
k2_pralg_2: $i > $i ).
thf(tp_k2_pre_circ,type,
k2_pre_circ: $i > $i > $i ).
thf(tp_k2_pzfmisc1,type,
k2_pzfmisc1: $i > $i > $i > $i ).
thf(tp_k2_real_1,type,
k2_real_1: $i > $i ).
thf(tp_k2_realset1,type,
k2_realset1: $i > $i > $i > $i ).
thf(tp_k2_realset2,type,
k2_realset2: $i > $i ).
thf(tp_k2_relat_1,type,
k2_relat_1: $i > $i ).
thf(tp_k2_relset_1,type,
k2_relset_1: $i > $i > $i > $i > $i ).
thf(tp_k2_rlvect_1,type,
k2_rlvect_1: $i > $i > $i > $i ).
thf(tp_k2_seq_2,type,
k2_seq_2: $i > $i ).
thf(tp_k2_seq_4,type,
k2_seq_4: $i > $i ).
thf(tp_k2_setfam_1,type,
k2_setfam_1: $i > $i > $i ).
thf(tp_k2_setwiseo,type,
k2_setwiseo: $i > $i > $i ).
thf(tp_k2_square_1,type,
k2_square_1: $i > $i > $i ).
thf(tp_k2_struct_0,type,
k2_struct_0: $i > $i > $i > $i ).
thf(tp_k2_subset_1,type,
k2_subset_1: $i > $i ).
thf(tp_k2_tarski,type,
k2_tarski: $i > $i > $i ).
thf(tp_k2_unialg_1,type,
k2_unialg_1: $i > $i > $i ).
thf(tp_k2_vectsp_1,type,
k2_vectsp_1: $i > $i ).
thf(tp_k2_wellord2,type,
k2_wellord2: $i > $i ).
thf(tp_k2_xboole_0,type,
k2_xboole_0: $i > $i > $i ).
thf(tp_k2_xcmplx_0,type,
k2_xcmplx_0: $i > $i > $i ).
thf(tp_k2_zfmisc_1,type,
k2_zfmisc_1: $i > $i > $i ).
thf(tp_k33_binop_2,type,
k33_binop_2: $i ).
thf(tp_k35_binop_2,type,
k35_binop_2: $i ).
thf(tp_k3_binop_1,type,
k3_binop_1: $i > $i > $i ).
thf(tp_k3_card_1,type,
k3_card_1: $i > $i ).
thf(tp_k3_card_2,type,
k3_card_2: $i > $i > $i ).
thf(tp_k3_card_3,type,
k3_card_3: $i > $i ).
thf(tp_k3_closure2,type,
k3_closure2: $i > $i ).
thf(tp_k3_closure3,type,
k3_closure3: $i > $i > $i > $i > $i ).
thf(tp_k3_enumset1,type,
k3_enumset1: $i > $i > $i > $i > $i > $i ).
thf(tp_k3_finseq_1,type,
k3_finseq_1: $i > $i ).
thf(tp_k3_finseq_2,type,
k3_finseq_2: $i > $i ).
thf(tp_k3_funcop_1,type,
k3_funcop_1: $i > $i > $i > $i ).
thf(tp_k3_funct_2,type,
k3_funct_2: $i > $i > $i > $i > $i ).
thf(tp_k3_funct_4,type,
k3_funct_4: $i > $i > $i ).
thf(tp_k3_funct_5,type,
k3_funct_5: $i > $i ).
thf(tp_k3_funct_6,type,
k3_funct_6: $i > $i ).
thf(tp_k3_group_1,type,
k3_group_1: $i > $i > $i ).
thf(tp_k3_int_1,type,
k3_int_1: $i > $i ).
thf(tp_k3_lattices,type,
k3_lattices: $i > $i > $i > $i ).
thf(tp_k3_mssubfam,type,
k3_mssubfam: $i > $i > $i ).
thf(tp_k3_msualg_1,type,
k3_msualg_1: $i > $i > $i > $i ).
thf(tp_k3_msualg_2,type,
k3_msualg_2: $i > $i > $i > $i > $i ).
thf(tp_k3_numbers,type,
k3_numbers: $i ).
thf(tp_k3_ordinal2,type,
k3_ordinal2: $i > $i ).
thf(tp_k3_partfun1,type,
k3_partfun1: $i > $i > $i > $i ).
thf(tp_k3_pboole,type,
k3_pboole: $i > $i > $i > $i ).
thf(tp_k3_pralg_2,type,
k3_pralg_2: $i > $i ).
thf(tp_k3_pre_circ,type,
k3_pre_circ: $i > $i > $i > $i ).
thf(tp_k3_real_1,type,
k3_real_1: $i > $i > $i ).
thf(tp_k3_realset1,type,
k3_realset1: $i > $i > $i > $i ).
thf(tp_k3_realset2,type,
k3_realset2: $i > $i ).
thf(tp_k3_relat_1,type,
k3_relat_1: $i > $i ).
thf(tp_k3_relset_1,type,
k3_relset_1: $i > $i > $i > $i > $i ).
thf(tp_k3_rlvect_1,type,
k3_rlvect_1: $i > $i > $i > $i ).
thf(tp_k3_seq_4,type,
k3_seq_4: $i > $i ).
thf(tp_k3_seqm_3,type,
k3_seqm_3: $i > $i > $i ).
thf(tp_k3_setfam_1,type,
k3_setfam_1: $i > $i > $i ).
thf(tp_k3_square_1,type,
k3_square_1: $i > $i > $i ).
thf(tp_k3_subset_1,type,
k3_subset_1: $i > $i > $i ).
thf(tp_k3_tarski,type,
k3_tarski: $i > $i ).
thf(tp_k3_unialg_1,type,
k3_unialg_1: $i > $i ).
thf(tp_k3_vectsp_1,type,
k3_vectsp_1: $i ).
thf(tp_k3_xboole_0,type,
k3_xboole_0: $i > $i > $i ).
thf(tp_k3_xcmplx_0,type,
k3_xcmplx_0: $i > $i > $i ).
thf(tp_k3_zfmisc_1,type,
k3_zfmisc_1: $i > $i > $i > $i ).
thf(tp_k4_card_1,type,
k4_card_1: $i > $i ).
thf(tp_k4_card_3,type,
k4_card_3: $i > $i ).
thf(tp_k4_classes1,type,
k4_classes1: $i > $i ).
thf(tp_k4_closure2,type,
k4_closure2: $i > $i > $i > $i ).
thf(tp_k4_closure3,type,
k4_closure3: $i > $i > $i > $i > $i ).
thf(tp_k4_enumset1,type,
k4_enumset1: $i > $i > $i > $i > $i > $i > $i ).
thf(tp_k4_finseq_1,type,
k4_finseq_1: $i > $i ).
thf(tp_k4_finseq_2,type,
k4_finseq_2: $i > $i > $i ).
thf(tp_k4_funcop_1,type,
k4_funcop_1: $i > $i > $i > $i ).
thf(tp_k4_funct_2,type,
k4_funct_2: $i > $i > $i > $i ).
thf(tp_k4_funct_4,type,
k4_funct_4: $i > $i > $i > $i > $i ).
thf(tp_k4_funct_5,type,
k4_funct_5: $i > $i ).
thf(tp_k4_funct_6,type,
k4_funct_6: $i > $i ).
thf(tp_k4_group_1,type,
k4_group_1: $i > $i ).
thf(tp_k4_int_1,type,
k4_int_1: $i > $i ).
thf(tp_k4_lattices,type,
k4_lattices: $i > $i > $i > $i ).
thf(tp_k4_mssubfam,type,
k4_mssubfam: $i > $i > $i > $i > $i ).
thf(tp_k4_msualg_1,type,
k4_msualg_1: $i > $i > $i > $i ).
thf(tp_k4_msualg_2,type,
k4_msualg_2: $i > $i > $i > $i ).
thf(tp_k4_numbers,type,
k4_numbers: $i ).
thf(tp_k4_ordinal2,type,
k4_ordinal2: $i ).
thf(tp_k4_partfun1,type,
k4_partfun1: $i > $i > $i ).
thf(tp_k4_pboole,type,
k4_pboole: $i > $i > $i > $i ).
thf(tp_k4_pralg_2,type,
k4_pralg_2: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).
thf(tp_k4_real_1,type,
k4_real_1: $i > $i > $i ).
thf(tp_k4_realset1,type,
k4_realset1: $i > $i > $i > $i ).
thf(tp_k4_realset2,type,
k4_realset2: $i > $i ).
thf(tp_k4_relat_1,type,
k4_relat_1: $i > $i ).
thf(tp_k4_relset_1,type,
k4_relset_1: $i > $i > $i > $i ).
thf(tp_k4_rlvect_1,type,
k4_rlvect_1: $i > $i > $i > $i ).
thf(tp_k4_seq_4,type,
k4_seq_4: $i > $i ).
thf(tp_k4_setfam_1,type,
k4_setfam_1: $i > $i > $i ).
thf(tp_k4_square_1,type,
k4_square_1: $i > $i > $i ).
thf(tp_k4_subset_1,type,
k4_subset_1: $i > $i > $i > $i ).
thf(tp_k4_tarski,type,
k4_tarski: $i > $i > $i ).
thf(tp_k4_trees_1,type,
k4_trees_1: $i > $i > $i ).
thf(tp_k4_trees_4,type,
k4_trees_4: $i > $i > $i ).
thf(tp_k4_vectsp_1,type,
k4_vectsp_1: $i > $i > $i ).
thf(tp_k4_xboole_0,type,
k4_xboole_0: $i > $i > $i ).
thf(tp_k4_xcmplx_0,type,
k4_xcmplx_0: $i > $i ).
thf(tp_k4_zfmisc_1,type,
k4_zfmisc_1: $i > $i > $i > $i > $i ).
thf(tp_k5_card_3,type,
k5_card_3: $i > $i > $i ).
thf(tp_k5_closure2,type,
k5_closure2: $i > $i > $i > $i ).
thf(tp_k5_closure3,type,
k5_closure3: $i > $i > $i ).
thf(tp_k5_enumset1,type,
k5_enumset1: $i > $i > $i > $i > $i > $i > $i > $i ).
thf(tp_k5_finseq_1,type,
k5_finseq_1: $i > $i ).
thf(tp_k5_finsub_1,type,
k5_finsub_1: $i > $i ).
thf(tp_k5_funcop_1,type,
k5_funcop_1: $i > $i > $i > $i ).
thf(tp_k5_funct_2,type,
k5_funct_2: $i > $i > $i > $i ).
thf(tp_k5_funct_4,type,
k5_funct_4: $i > $i > $i > $i > $i > $i ).
thf(tp_k5_funct_5,type,
k5_funct_5: $i > $i ).
thf(tp_k5_funct_6,type,
k5_funct_6: $i > $i > $i > $i ).
thf(tp_k5_group_1,type,
k5_group_1: $i > $i ).
thf(tp_k5_int_1,type,
k5_int_1: $i > $i > $i ).
thf(tp_k5_lattices,type,
k5_lattices: $i > $i ).
thf(tp_k5_mssubfam,type,
k5_mssubfam: $i > $i > $i > $i ).
thf(tp_k5_msualg_1,type,
k5_msualg_1: $i > $i > $i > $i ).
thf(tp_k5_msualg_2,type,
k5_msualg_2: $i > $i > $i > $i ).
thf(tp_k5_numbers,type,
k5_numbers: $i ).
thf(tp_k5_ordinal2,type,
k5_ordinal2: $i ).
thf(tp_k5_partfun1,type,
k5_partfun1: $i > $i > $i > $i ).
thf(tp_k5_pboole,type,
k5_pboole: $i > $i > $i > $i ).
thf(tp_k5_pralg_2,type,
k5_pralg_2: $i > $i > $i > $i > $i > $i > $i > $i > $i ).
thf(tp_k5_real_1,type,
k5_real_1: $i > $i > $i ).
thf(tp_k5_realset1,type,
k5_realset1: $i > $i > $i ).
thf(tp_k5_realset2,type,
k5_realset2: $i > $i ).
thf(tp_k5_relat_1,type,
k5_relat_1: $i > $i > $i ).
thf(tp_k5_relset_1,type,
k5_relset_1: $i > $i > $i > $i ).
thf(tp_k5_rlvect_1,type,
k5_rlvect_1: $i > $i > $i ).
thf(tp_k5_seq_4,type,
k5_seq_4: $i > $i ).
thf(tp_k5_setfam_1,type,
k5_setfam_1: $i > $i > $i ).
thf(tp_k5_subset_1,type,
k5_subset_1: $i > $i > $i > $i ).
thf(tp_k5_trees_1,type,
k5_trees_1: $i > $i > $i > $i ).
thf(tp_k5_trees_2,type,
k5_trees_2: $i > $i > $i ).
thf(tp_k5_trees_3,type,
k5_trees_3: $i > $i ).
thf(tp_k5_vectsp_1,type,
k5_vectsp_1: $i > $i > $i > $i ).
thf(tp_k5_xboole_0,type,
k5_xboole_0: $i > $i > $i ).
thf(tp_k5_xcmplx_0,type,
k5_xcmplx_0: $i > $i ).
thf(tp_k6_arytm_3,type,
k6_arytm_3: $i ).
thf(tp_k6_card_3,type,
k6_card_3: $i > $i ).
thf(tp_k6_closure2,type,
k6_closure2: $i > $i > $i ).
thf(tp_k6_domain_1,type,
k6_domain_1: $i > $i > $i ).
thf(tp_k6_enumset1,type,
k6_enumset1: $i > $i > $i > $i > $i > $i > $i > $i > $i ).
thf(tp_k6_finseq_1,type,
k6_finseq_1: $i > $i ).
thf(tp_k6_finseqop,type,
k6_finseqop: $i > $i > $i ).
thf(tp_k6_funcop_1,type,
k6_funcop_1: $i > $i > $i > $i > $i > $i ).
thf(tp_k6_funct_2,type,
k6_funct_2: $i > $i > $i ).
thf(tp_k6_funct_5,type,
k6_funct_5: $i > $i ).
thf(tp_k6_funct_6,type,
k6_funct_6: $i > $i ).
thf(tp_k6_group_1,type,
k6_group_1: $i > $i > $i > $i ).
thf(tp_k6_int_1,type,
k6_int_1: $i > $i > $i ).
thf(tp_k6_lattices,type,
k6_lattices: $i > $i ).
thf(tp_k6_mssubfam,type,
k6_mssubfam: $i > $i > $i > $i ).
thf(tp_k6_msualg_1,type,
k6_msualg_1: $i > $i ).
thf(tp_k6_msualg_2,type,
k6_msualg_2: $i > $i > $i ).
thf(tp_k6_ordinal2,type,
k6_ordinal2: $i > $i ).
thf(tp_k6_partfun1,type,
k6_partfun1: $i > $i ).
thf(tp_k6_pboole,type,
k6_pboole: $i > $i > $i ).
thf(tp_k6_pralg_2,type,
k6_pralg_2: $i > $i > $i > $i > $i ).
thf(tp_k6_real_1,type,
k6_real_1: $i > $i > $i ).
thf(tp_k6_realset2,type,
k6_realset2: $i > $i ).
thf(tp_k6_relat_1,type,
k6_relat_1: $i > $i ).
thf(tp_k6_relset_1,type,
k6_relset_1: $i > $i > $i > $i ).
thf(tp_k6_rlvect_1,type,
k6_rlvect_1: $i > $i > $i > $i ).
thf(tp_k6_setfam_1,type,
k6_setfam_1: $i > $i > $i ).
thf(tp_k6_subset_1,type,
k6_subset_1: $i > $i > $i > $i ).
thf(tp_k6_vectsp_1,type,
k6_vectsp_1: $i > $i > $i > $i > $i ).
thf(tp_k6_xcmplx_0,type,
k6_xcmplx_0: $i > $i > $i ).
thf(tp_k7_binop_2,type,
k7_binop_2: $i > $i ).
thf(tp_k7_card_3,type,
k7_card_3: $i > $i ).
thf(tp_k7_closure2,type,
k7_closure2: $i > $i > $i > $i > $i ).
thf(tp_k7_finseq_1,type,
k7_finseq_1: $i > $i > $i ).
thf(tp_k7_funcop_1,type,
k7_funcop_1: $i > $i > $i > $i > $i > $i ).
thf(tp_k7_funct_2,type,
k7_funct_2: $i > $i > $i > $i > $i > $i ).
thf(tp_k7_funct_6,type,
k7_funct_6: $i > $i ).
thf(tp_k7_group_1,type,
k7_group_1: $i > $i > $i ).
thf(tp_k7_lattices,type,
k7_lattices: $i > $i > $i ).
thf(tp_k7_mssubfam,type,
k7_mssubfam: $i > $i > $i ).
thf(tp_k7_msualg_1,type,
k7_msualg_1: $i > $i ).
thf(tp_k7_msualg_2,type,
k7_msualg_2: $i > $i > $i > $i ).
thf(tp_k7_ordinal2,type,
k7_ordinal2: $i > $i ).
thf(tp_k7_pboole,type,
k7_pboole: $i > $i > $i > $i > $i ).
thf(tp_k7_pralg_2,type,
k7_pralg_2: $i > $i > $i ).
thf(tp_k7_realset2,type,
k7_realset2: $i > $i ).
thf(tp_k7_relat_1,type,
k7_relat_1: $i > $i > $i ).
thf(tp_k7_relset_1,type,
k7_relset_1: $i > $i > $i > $i > $i > $i > $i ).
thf(tp_k7_rlvect_1,type,
k7_rlvect_1: $i > $i > $i > $i ).
thf(tp_k7_setfam_1,type,
k7_setfam_1: $i > $i > $i ).
thf(tp_k7_subset_1,type,
k7_subset_1: $i > $i > $i > $i ).
thf(tp_k7_vectsp_1,type,
k7_vectsp_1: $i > $i ).
thf(tp_k7_xcmplx_0,type,
k7_xcmplx_0: $i > $i > $i ).
thf(tp_k8_closure2,type,
k8_closure2: $i > $i > $i > $i > $i ).
thf(tp_k8_finseq_1,type,
k8_finseq_1: $i > $i > $i > $i ).
thf(tp_k8_funcop_1,type,
k8_funcop_1: $i > $i > $i > $i > $i > $i ).
thf(tp_k8_funct_2,type,
k8_funct_2: $i > $i > $i > $i > $i ).
thf(tp_k8_funct_6,type,
k8_funct_6: $i > $i > $i ).
thf(tp_k8_group_1,type,
k8_group_1: $i > $i ).
thf(tp_k8_msualg_1,type,
k8_msualg_1: $i > $i ).
thf(tp_k8_msualg_2,type,
k8_msualg_2: $i > $i > $i > $i > $i ).
thf(tp_k8_ordinal2,type,
k8_ordinal2: $i > $i ).
thf(tp_k8_pboole,type,
k8_pboole: $i > $i > $i > $i > $i ).
thf(tp_k8_pralg_2,type,
k8_pralg_2: $i > $i > $i > $i ).
thf(tp_k8_realset2,type,
k8_realset2: $i > $i ).
thf(tp_k8_relat_1,type,
k8_relat_1: $i > $i > $i ).
thf(tp_k8_relset_1,type,
k8_relset_1: $i > $i > $i > $i > $i ).
thf(tp_k8_rlvect_1,type,
k8_rlvect_1: $i > $i > $i > $i > $i ).
thf(tp_k8_setfam_1,type,
k8_setfam_1: $i > $i > $i ).
thf(tp_k8_subset_1,type,
k8_subset_1: $i > $i ).
thf(tp_k8_trees_2,type,
k8_trees_2: $i > $i > $i > $i ).
thf(tp_k9_closure2,type,
k9_closure2: $i > $i > $i ).
thf(tp_k9_finseq_1,type,
k9_finseq_1: $i > $i ).
thf(tp_k9_funcop_1,type,
k9_funcop_1: $i > $i > $i > $i > $i ).
thf(tp_k9_funct_2,type,
k9_funct_2: $i > $i > $i > $i ).
thf(tp_k9_funct_6,type,
k9_funct_6: $i > $i > $i ).
thf(tp_k9_group_1,type,
k9_group_1: $i > $i ).
thf(tp_k9_msualg_1,type,
k9_msualg_1: $i > $i ).
thf(tp_k9_msualg_2,type,
k9_msualg_2: $i > $i > $i > $i ).
thf(tp_k9_ordinal2,type,
k9_ordinal2: $i > $i ).
thf(tp_k9_pboole,type,
k9_pboole: $i > $i ).
thf(tp_k9_pralg_2,type,
k9_pralg_2: $i > $i > $i > $i ).
thf(tp_k9_relat_1,type,
k9_relat_1: $i > $i > $i ).
thf(tp_k9_relset_1,type,
k9_relset_1: $i > $i > $i > $i > $i ).
thf(tp_k9_rlvect_1,type,
k9_rlvect_1: $i > $i > $i ).
thf(tp_k9_seq_1,type,
k9_seq_1: $i > $i > $i ).
thf(tp_l1_closure2,type,
l1_closure2: $i > $i > $o ).
thf(tp_l1_group_1,type,
l1_group_1: $i > $o ).
thf(tp_l1_lattices,type,
l1_lattices: $i > $o ).
thf(tp_l1_msualg_1,type,
l1_msualg_1: $i > $o ).
thf(tp_l1_rlvect_1,type,
l1_rlvect_1: $i > $o ).
thf(tp_l1_struct_0,type,
l1_struct_0: $i > $o ).
thf(tp_l1_unialg_1,type,
l1_unialg_1: $i > $o ).
thf(tp_l1_vectsp_1,type,
l1_vectsp_1: $i > $o ).
thf(tp_l2_lattices,type,
l2_lattices: $i > $o ).
thf(tp_l2_msualg_1,type,
l2_msualg_1: $i > $i > $o ).
thf(tp_l2_rlvect_1,type,
l2_rlvect_1: $i > $o ).
thf(tp_l2_struct_0,type,
l2_struct_0: $i > $o ).
thf(tp_l2_vectsp_1,type,
l2_vectsp_1: $i > $o ).
thf(tp_l3_lattices,type,
l3_lattices: $i > $o ).
thf(tp_l3_msualg_1,type,
l3_msualg_1: $i > $i > $o ).
thf(tp_l3_vectsp_1,type,
l3_vectsp_1: $i > $o ).
thf(tp_l4_vectsp_1,type,
l4_vectsp_1: $i > $i > $o ).
thf(tp_m1_closure2,type,
m1_closure2: $i > $i > $i > $i > $o ).
thf(tp_m1_closure3,type,
m1_closure3: $i > $i > $i > $i > $o ).
thf(tp_m1_finseq_1,type,
m1_finseq_1: $i > $i > $o ).
thf(tp_m1_finseq_2,type,
m1_finseq_2: $i > $i > $o ).
thf(tp_m1_fraenkel,type,
m1_fraenkel: $i > $i > $i > $o ).
thf(tp_m1_msualg_2,type,
m1_msualg_2: $i > $i > $i > $o ).
thf(tp_m1_ordinal1,type,
m1_ordinal1: $i > $i > $o ).
thf(tp_m1_pboole,type,
m1_pboole: $i > $i > $o ).
thf(tp_m1_pralg_2,type,
m1_pralg_2: $i > $i > $o ).
thf(tp_m1_realset1,type,
m1_realset1: $i > $i > $i > $o ).
thf(tp_m1_relset_1,type,
m1_relset_1: $i > $i > $i > $o ).
thf(tp_m1_seqm_3,type,
m1_seqm_3: $i > $i > $o ).
thf(tp_m1_struct_0,type,
m1_struct_0: $i > $i > $i > $o ).
thf(tp_m1_subset_1,type,
m1_subset_1: $i > $i > $o ).
thf(tp_m1_trees_1,type,
m1_trees_1: $i > $i > $o ).
thf(tp_m2_finseq_1,type,
m2_finseq_1: $i > $i > $o ).
thf(tp_m2_finseq_2,type,
m2_finseq_2: $i > $i > $i > $o ).
thf(tp_m2_fraenkel,type,
m2_fraenkel: $i > $i > $i > $i > $o ).
thf(tp_m2_pboole,type,
m2_pboole: $i > $i > $i > $o ).
thf(tp_m2_pralg_2,type,
m2_pralg_2: $i > $i > $i > $o ).
thf(tp_m2_realset1,type,
m2_realset1: $i > $i > $i > $o ).
thf(tp_m2_relset_1,type,
m2_relset_1: $i > $i > $i > $o ).
thf(tp_m2_subset_1,type,
m2_subset_1: $i > $i > $i > $o ).
thf(tp_m3_pboole,type,
m3_pboole: $i > $i > $i > $i > $o ).
thf(tp_m3_realset1,type,
m3_realset1: $i > $i > $i > $o ).
thf(tp_m4_pboole,type,
m4_pboole: $i > $i > $i > $o ).
thf(tp_m4_realset1,type,
m4_realset1: $i > $i > $o ).
thf(tp_np__0,type,
np__0: $i ).
thf(tp_np__1,type,
np__1: $i ).
thf(tp_np__2,type,
np__2: $i ).
thf(tp_np__3,type,
np__3: $i ).
thf(tp_p1_s10_fraenkel,type,
p1_s10_fraenkel: $i > $o ).
thf(tp_p1_s11_fraenkel,type,
p1_s11_fraenkel: $i > $i > $o ).
thf(tp_p1_s12_fraenkel,type,
p1_s12_fraenkel: $i > $i > $o ).
thf(tp_p1_s13_fraenkel,type,
p1_s13_fraenkel: $i > $i > $o ).
thf(tp_p1_s14_fraenkel,type,
p1_s14_fraenkel: $i > $o ).
thf(tp_p1_s14_funct_2,type,
p1_s14_funct_2: $i > $i > $o ).
thf(tp_p1_s15_fraenkel,type,
p1_s15_fraenkel: $i > $i > $o ).
thf(tp_p1_s16_fraenkel,type,
p1_s16_fraenkel: $i > $i > $o ).
thf(tp_p1_s17_fraenkel,type,
p1_s17_fraenkel: $i > $o ).
thf(tp_p1_s18_fraenkel,type,
p1_s18_fraenkel: $i > $o ).
thf(tp_p1_s19_fraenkel,type,
p1_s19_fraenkel: $i > $i > $o ).
thf(tp_p1_s1_card_1,type,
p1_s1_card_1: $i > $o ).
thf(tp_p1_s1_finseq_1,type,
p1_s1_finseq_1: $i > $i > $o ).
thf(tp_p1_s1_finset_1,type,
p1_s1_finset_1: $i > $o ).
thf(tp_p1_s1_fraenkel,type,
p1_s1_fraenkel: $i > $o ).
thf(tp_p1_s1_funct_1,type,
p1_s1_funct_1: $i > $i > $o ).
thf(tp_p1_s1_funct_2,type,
p1_s1_funct_2: $i > $i > $o ).
thf(tp_p1_s1_int_1,type,
p1_s1_int_1: $i > $o ).
thf(tp_p1_s1_membered,type,
p1_s1_membered: $i > $o ).
thf(tp_p1_s1_mssubfam,type,
p1_s1_mssubfam: $i > $i > $i > $o ).
thf(tp_p1_s1_ordinal1,type,
p1_s1_ordinal1: $i > $o ).
thf(tp_p1_s1_ordinal2,type,
p1_s1_ordinal2: $i > $o ).
thf(tp_p1_s1_partfun1,type,
p1_s1_partfun1: $i > $o ).
thf(tp_p1_s1_pre_circ,type,
p1_s1_pre_circ: $i > $o ).
thf(tp_p1_s1_relat_1,type,
p1_s1_relat_1: $i > $i > $o ).
thf(tp_p1_s1_relset_1,type,
p1_s1_relset_1: $i > $i > $o ).
thf(tp_p1_s1_subset_1,type,
p1_s1_subset_1: $i > $o ).
thf(tp_p1_s1_tarski,type,
p1_s1_tarski: $i > $i > $o ).
thf(tp_p1_s1_xboole_0,type,
p1_s1_xboole_0: $i > $o ).
thf(tp_p1_s20_fraenkel,type,
p1_s20_fraenkel: $i > $i > $o ).
thf(tp_p1_s23_fraenkel,type,
p1_s23_fraenkel: $i > $i > $o ).
thf(tp_p1_s24_fraenkel,type,
p1_s24_fraenkel: $i > $i > $o ).
thf(tp_p1_s26_fraenkel,type,
p1_s26_fraenkel: $i > $i > $o ).
thf(tp_p1_s27_fraenkel,type,
p1_s27_fraenkel: $i > $i > $o ).
thf(tp_p1_s2_card_1,type,
p1_s2_card_1: $i > $o ).
thf(tp_p1_s2_card_3,type,
p1_s2_card_3: $i > $i > $o ).
thf(tp_p1_s2_finseq_2,type,
p1_s2_finseq_2: $i > $o ).
thf(tp_p1_s2_finset_1,type,
p1_s2_finset_1: $i > $o ).
thf(tp_p1_s2_fraenkel,type,
p1_s2_fraenkel: $i > $i > $o ).
thf(tp_p1_s2_funct_1,type,
p1_s2_funct_1: $i > $i > $o ).
thf(tp_p1_s2_int_1,type,
p1_s2_int_1: $i > $o ).
thf(tp_p1_s2_membered,type,
p1_s2_membered: $i > $o ).
thf(tp_p1_s2_ordinal1,type,
p1_s2_ordinal1: $i > $o ).
thf(tp_p1_s2_partfun1,type,
p1_s2_partfun1: $i > $i > $o ).
thf(tp_p1_s2_pboole,type,
p1_s2_pboole: $i > $i > $o ).
thf(tp_p1_s2_pre_circ,type,
p1_s2_pre_circ: $i > $o ).
thf(tp_p1_s2_relset_1,type,
p1_s2_relset_1: $i > $i > $o ).
thf(tp_p1_s2_subset_1,type,
p1_s2_subset_1: $i > $o ).
thf(tp_p1_s2_xboole_0,type,
p1_s2_xboole_0: $i > $o ).
thf(tp_p1_s3_card_3,type,
p1_s3_card_3: $i > $i > $o ).
thf(tp_p1_s3_finseq_1,type,
p1_s3_finseq_1: $i > $o ).
thf(tp_p1_s3_fraenkel,type,
p1_s3_fraenkel: $i > $o ).
thf(tp_p1_s3_funct_2,type,
p1_s3_funct_2: $i > $i > $o ).
thf(tp_p1_s3_int_1,type,
p1_s3_int_1: $i > $o ).
thf(tp_p1_s3_membered,type,
p1_s3_membered: $i > $o ).
thf(tp_p1_s3_partfun1,type,
p1_s3_partfun1: $i > $o ).
thf(tp_p1_s3_pboole,type,
p1_s3_pboole: $i > $i > $o ).
thf(tp_p1_s3_subset_1,type,
p1_s3_subset_1: $i > $o ).
thf(tp_p1_s3_xboole_0,type,
p1_s3_xboole_0: $i > $o ).
thf(tp_p1_s4_card_3,type,
p1_s4_card_3: $i > $i > $o ).
thf(tp_p1_s4_finseq_1,type,
p1_s4_finseq_1: $i > $o ).
thf(tp_p1_s4_fraenkel,type,
p1_s4_fraenkel: $i > $i > $o ).
thf(tp_p1_s4_int_1,type,
p1_s4_int_1: $i > $o ).
thf(tp_p1_s4_membered,type,
p1_s4_membered: $i > $o ).
thf(tp_p1_s4_partfun1,type,
p1_s4_partfun1: $i > $i > $i > $o ).
thf(tp_p1_s4_subset_1,type,
p1_s4_subset_1: $i > $o ).
thf(tp_p1_s5_finseq_1,type,
p1_s5_finseq_1: $i > $i > $o ).
thf(tp_p1_s5_fraenkel,type,
p1_s5_fraenkel: $i > $o ).
thf(tp_p1_s5_funct_2,type,
p1_s5_funct_2: $i > $i > $i > $o ).
thf(tp_p1_s5_int_1,type,
p1_s5_int_1: $i > $o ).
thf(tp_p1_s5_membered,type,
p1_s5_membered: $i > $o ).
thf(tp_p1_s5_partfun1,type,
p1_s5_partfun1: $i > $i > $o ).
thf(tp_p1_s6_fraenkel,type,
p1_s6_fraenkel: $i > $o ).
thf(tp_p1_s6_int_1,type,
p1_s6_int_1: $i > $o ).
thf(tp_p1_s7_fraenkel,type,
p1_s7_fraenkel: $i > $i > $o ).
thf(tp_p1_s7_funct_2,type,
p1_s7_funct_2: $i > $i > $i > $o ).
thf(tp_p1_s8_fraenkel,type,
p1_s8_fraenkel: $i > $i > $o ).
thf(tp_p1_s9_fraenkel,type,
p1_s9_fraenkel: $i > $o ).
thf(tp_p1_s9_funct_2,type,
p1_s9_funct_2: $i > $o ).
thf(tp_p2_s11_fraenkel,type,
p2_s11_fraenkel: $i > $o ).
thf(tp_p2_s12_fraenkel,type,
p2_s12_fraenkel: $i > $o ).
thf(tp_p2_s13_fraenkel,type,
p2_s13_fraenkel: $i > $o ).
thf(tp_p2_s14_fraenkel,type,
p2_s14_fraenkel: $i > $o ).
thf(tp_p2_s15_fraenkel,type,
p2_s15_fraenkel: $i > $o ).
thf(tp_p2_s16_fraenkel,type,
p2_s16_fraenkel: $i > $i > $o ).
thf(tp_p2_s19_fraenkel,type,
p2_s19_fraenkel: $i > $i > $o ).
thf(tp_p2_s1_fraenkel,type,
p2_s1_fraenkel: $i > $o ).
thf(tp_p2_s2_fraenkel,type,
p2_s2_fraenkel: $i > $i > $o ).
thf(tp_p2_s3_fraenkel,type,
p2_s3_fraenkel: $i > $o ).
thf(tp_p2_s4_fraenkel,type,
p2_s4_fraenkel: $i > $i > $o ).
thf(tp_p2_s8_fraenkel,type,
p2_s8_fraenkel: $i > $i > $o ).
thf(tp_p2_s9_fraenkel,type,
p2_s9_fraenkel: $i > $o ).
thf(tp_r1_arytm_2,type,
r1_arytm_2: $i > $i > $o ).
thf(tp_r1_closure3,type,
r1_closure3: $i > $i > $i > $i > $o ).
thf(tp_r1_finseqop,type,
r1_finseqop: $i > $i > $i > $o ).
thf(tp_r1_int_1,type,
r1_int_1: $i > $i > $i > $o ).
thf(tp_r1_lattices,type,
r1_lattices: $i > $i > $i > $o ).
thf(tp_r1_msualg_2,type,
r1_msualg_2: $i > $i > $i > $i > $o ).
thf(tp_r1_nat_1,type,
r1_nat_1: $i > $i > $o ).
thf(tp_r1_ordinal1,type,
r1_ordinal1: $i > $i > $o ).
thf(tp_r1_ordinal2,type,
r1_ordinal2: $i > $i > $o ).
thf(tp_r1_partfun1,type,
r1_partfun1: $i > $i > $o ).
thf(tp_r1_pboole,type,
r1_pboole: $i > $i > $i > $o ).
thf(tp_r1_pzfmisc1,type,
r1_pzfmisc1: $i > $i > $i > $o ).
thf(tp_r1_realset1,type,
r1_realset1: $i > $i > $i > $o ).
thf(tp_r1_rlvect_1,type,
r1_rlvect_1: $i > $i > $o ).
thf(tp_r1_setfam_1,type,
r1_setfam_1: $i > $i > $o ).
thf(tp_r1_subset_1,type,
r1_subset_1: $i > $i > $o ).
thf(tp_r1_tarski,type,
r1_tarski: $i > $i > $o ).
thf(tp_r1_xboole_0,type,
r1_xboole_0: $i > $i > $o ).
thf(tp_r1_xreal_0,type,
r1_xreal_0: $i > $i > $o ).
thf(tp_r2_closure3,type,
r2_closure3: $i > $i > $i > $i > $o ).
thf(tp_r2_hidden,type,
r2_hidden: $i > $i > $o ).
thf(tp_r2_int_1,type,
r2_int_1: $i > $i > $o ).
thf(tp_r2_lattices,type,
r2_lattices: $i > $i > $i > $o ).
thf(tp_r2_pboole,type,
r2_pboole: $i > $i > $i > $o ).
thf(tp_r2_realset1,type,
r2_realset1: $i > $i > $i > $o ).
thf(tp_r2_setfam_1,type,
r2_setfam_1: $i > $i > $o ).
thf(tp_r2_subset_1,type,
r2_subset_1: $i > $i > $o ).
thf(tp_r2_tarski,type,
r2_tarski: $i > $i > $o ).
thf(tp_r2_wellord2,type,
r2_wellord2: $i > $i > $o ).
thf(tp_r2_xboole_0,type,
r2_xboole_0: $i > $i > $o ).
thf(tp_r3_binop_1,type,
r3_binop_1: $i > $i > $i > $o ).
thf(tp_r3_lattices,type,
r3_lattices: $i > $i > $i > $o ).
thf(tp_r3_pboole,type,
r3_pboole: $i > $i > $i > $o ).
thf(tp_r3_xboole_0,type,
r3_xboole_0: $i > $i > $o ).
thf(tp_r4_pboole,type,
r4_pboole: $i > $i > $i > $o ).
thf(tp_r5_pboole,type,
r5_pboole: $i > $i > $i > $o ).
thf(tp_r6_pboole,type,
r6_pboole: $i > $i > $i > $o ).
thf(tp_r7_pboole,type,
r7_pboole: $i > $i > $i > $o ).
thf(tp_sK10_SX0,type,
sK10_SX0: $i ).
thf(tp_sK11_SX0,type,
sK11_SX0: $i ).
thf(tp_sK12_SY438,type,
sK12_SY438: $i > $i ).
thf(tp_sK13_SY492,type,
sK13_SY492: $i > $i ).
thf(tp_sK14_SY521,type,
sK14_SY521: $i > $i ).
thf(tp_sK15_SY536,type,
sK15_SY536: $i > $i ).
thf(tp_sK16_SY563,type,
sK16_SY563: $i > $i ).
thf(tp_sK17_SY652,type,
sK17_SY652: $i > $i ).
thf(tp_sK18_SY800,type,
sK18_SY800: $i ).
thf(tp_sK19_SY760,type,
sK19_SY760: $i > $i > $i ).
thf(tp_sK1_A,type,
sK1_A: $i ).
thf(tp_sK20_SY678,type,
sK20_SY678: $i > $i > $i ).
thf(tp_sK21_SY688,type,
sK21_SY688: $i > $i > $i ).
thf(tp_sK22_SY454,type,
sK22_SY454: $i > $i ).
thf(tp_sK23_SY757,type,
sK23_SY757: $i > $i > $i ).
thf(tp_sK24_SY626,type,
sK24_SY626: $i > $i ).
thf(tp_sK25_SY823,type,
sK25_SY823: $i > $i > $i > $i ).
thf(tp_sK26_SY444,type,
sK26_SY444: $i > $i ).
thf(tp_sK27_SY709,type,
sK27_SY709: $i > $i > $i ).
thf(tp_sK28_SY567,type,
sK28_SY567: $i > $i ).
thf(tp_sK29_SY753,type,
sK29_SY753: $i > $i > $i ).
thf(tp_sK2_SX0,type,
sK2_SX0: $i ).
thf(tp_sK30_SY654,type,
sK30_SY654: $i > $i ).
thf(tp_sK31_SY844,type,
sK31_SY844: $i > $i ).
thf(tp_sK32_SY456,type,
sK32_SY456: $i > $i > $i ).
thf(tp_sK33_SY736,type,
sK33_SY736: $i > $i > $i ).
thf(tp_sK34_SY751,type,
sK34_SY751: $i > $i > $i ).
thf(tp_sK35_SY781,type,
sK35_SY781: $i > $i > $i ).
thf(tp_sK36_SY787,type,
sK36_SY787: $i > $i > $i ).
thf(tp_sK37_SY804,type,
sK37_SY804: $i > $i > $i > $i ).
thf(tp_sK38_SY813,type,
sK38_SY813: $i > $i > $i > $i ).
thf(tp_sK39_SY819,type,
sK39_SY819: $i > $i > $i > $i ).
thf(tp_sK3_SX0,type,
sK3_SX0: $i ).
thf(tp_sK40_SY821,type,
sK40_SY821: $i > $i > $i > $i ).
thf(tp_sK41_SY833,type,
sK41_SY833: $i > $i > $i > $i ).
thf(tp_sK42_SY840,type,
sK42_SY840: $i > $i > $i > $i ).
thf(tp_sK43_SY841,type,
sK43_SY841: $i > $i > $i > $i ).
thf(tp_sK44_SY765,type,
sK44_SY765: $i > $i > $i ).
thf(tp_sK45_SY802,type,
sK45_SY802: $i > $i > $i ).
thf(tp_sK46_SY482,type,
sK46_SY482: $i > $i > $i ).
thf(tp_sK47_SY530,type,
sK47_SY530: $i > $i ).
thf(tp_sK48_SY744,type,
sK48_SY744: $i > $i > $i ).
thf(tp_sK49_SY822,type,
sK49_SY822: $i > $i > $i > $i ).
thf(tp_sK4_SX0,type,
sK4_SX0: $i ).
thf(tp_sK50_SY854,type,
sK50_SY854: $i > $i ).
thf(tp_sK51_SY846,type,
sK51_SY846: $i > $i > $i > $i ).
thf(tp_sK52_SY782,type,
sK52_SY782: $i > $i > $i ).
thf(tp_sK53_SY831,type,
sK53_SY831: $i > $i > $i > $i ).
thf(tp_sK54_SY835,type,
sK54_SY835: $i > $i > $i > $i ).
thf(tp_sK55_SY758,type,
sK55_SY758: $i > $i > $i ).
thf(tp_sK56_SY777,type,
sK56_SY777: $i > $i > $i ).
thf(tp_sK57_SY847,type,
sK57_SY847: $i > $i > $i > $i ).
thf(tp_sK58_SY690,type,
sK58_SY690: $i > $i > $i ).
thf(tp_sK59_SY690,type,
sK59_SY690: $i > $i > $i ).
thf(tp_sK5_SX0,type,
sK5_SX0: $i ).
thf(tp_sK60_SY690,type,
sK60_SY690: $i > $i > $i ).
thf(tp_sK61_SY807,type,
sK61_SY807: $i > $i > $i > $i ).
thf(tp_sK62_SY704,type,
sK62_SY704: $i > $i > $i ).
thf(tp_sK63_SY690,type,
sK63_SY690: $i > $i > $i ).
thf(tp_sK64_SY850,type,
sK64_SY850: $i > $i > $i ).
thf(tp_sK65_SY857,type,
sK65_SY857: $i > $i > $i ).
thf(tp_sK66_SY704,type,
sK66_SY704: $i > $i > $i > $i > $i ).
thf(tp_sK67_SY856,type,
sK67_SY856: $i > $i > $i > $i ).
thf(tp_sK68_SY707,type,
sK68_SY707: $i > $i > $i ).
thf(tp_sK69_SY865,type,
sK69_SY865: $i > $i > $i ).
thf(tp_sK6_SX0,type,
sK6_SX0: $i ).
thf(tp_sK70_SY850,type,
sK70_SY850: $i > $i > $i > $i ).
thf(tp_sK71_SY707,type,
sK71_SY707: $i > $i > $i > $i > $i ).
thf(tp_sK72_SY707,type,
sK72_SY707: $i > $i > $i > $i > $i ).
thf(tp_sK73_SY867,type,
sK73_SY867: $i > $i > $i > $i > $i ).
thf(tp_sK74_SY868,type,
sK74_SY868: $i > $i > $i > $i > $i ).
thf(tp_sK75_SY707,type,
sK75_SY707: $i > $i > $i > $i > $i > $i > $i ).
thf(tp_sK76_SY869,type,
sK76_SY869: $i > $i > $i > $i > $i > $i > $i ).
thf(tp_sK7_SX0,type,
sK7_SX0: $i ).
thf(tp_sK8_SX0,type,
sK8_SX0: $i ).
thf(tp_sK9_SX0,type,
sK9_SX0: $i ).
thf(tp_u1_closure2,type,
u1_closure2: $i > $i > $i ).
thf(tp_u1_group_1,type,
u1_group_1: $i > $i ).
thf(tp_u1_lattices,type,
u1_lattices: $i > $i ).
thf(tp_u1_msualg_1,type,
u1_msualg_1: $i > $i ).
thf(tp_u1_rlvect_1,type,
u1_rlvect_1: $i > $i ).
thf(tp_u1_struct_0,type,
u1_struct_0: $i > $i ).
thf(tp_u1_unialg_1,type,
u1_unialg_1: $i > $i ).
thf(tp_u1_vectsp_1,type,
u1_vectsp_1: $i > $i ).
thf(tp_u2_lattices,type,
u2_lattices: $i > $i ).
thf(tp_u2_msualg_1,type,
u2_msualg_1: $i > $i ).
thf(tp_u2_rlvect_1,type,
u2_rlvect_1: $i > $i ).
thf(tp_u2_struct_0,type,
u2_struct_0: $i > $i ).
thf(tp_u2_vectsp_1,type,
u2_vectsp_1: $i > $i > $i ).
thf(tp_u3_msualg_1,type,
u3_msualg_1: $i > $i ).
thf(tp_u4_msualg_1,type,
u4_msualg_1: $i > $i > $i ).
thf(tp_u5_msualg_1,type,
u5_msualg_1: $i > $i > $i ).
thf(tp_v10_closure2,type,
v10_closure2: $i > $i > $i > $o ).
thf(tp_v10_lattices,type,
v10_lattices: $i > $o ).
thf(tp_v10_vectsp_1,type,
v10_vectsp_1: $i > $o ).
thf(tp_v11_closure2,type,
v11_closure2: $i > $i > $o ).
thf(tp_v11_lattices,type,
v11_lattices: $i > $o ).
thf(tp_v11_vectsp_1,type,
v11_vectsp_1: $i > $i > $o ).
thf(tp_v12_closure2,type,
v12_closure2: $i > $i > $o ).
thf(tp_v12_lattices,type,
v12_lattices: $i > $o ).
thf(tp_v12_vectsp_1,type,
v12_vectsp_1: $i > $i > $o ).
thf(tp_v13_closure2,type,
v13_closure2: $i > $i > $o ).
thf(tp_v13_lattices,type,
v13_lattices: $i > $o ).
thf(tp_v13_vectsp_1,type,
v13_vectsp_1: $i > $o ).
thf(tp_v14_closure2,type,
v14_closure2: $i > $i > $o ).
thf(tp_v14_lattices,type,
v14_lattices: $i > $o ).
thf(tp_v15_closure2,type,
v15_closure2: $i > $i > $o ).
thf(tp_v15_lattices,type,
v15_lattices: $i > $o ).
thf(tp_v16_closure2,type,
v16_closure2: $i > $i > $o ).
thf(tp_v16_lattices,type,
v16_lattices: $i > $o ).
thf(tp_v17_closure2,type,
v17_closure2: $i > $i > $o ).
thf(tp_v17_lattices,type,
v17_lattices: $i > $o ).
thf(tp_v1_binop_1,type,
v1_binop_1: $i > $i > $o ).
thf(tp_v1_card_1,type,
v1_card_1: $i > $o ).
thf(tp_v1_card_3,type,
v1_card_3: $i > $o ).
thf(tp_v1_closure2,type,
v1_closure2: $i > $i > $i > $o ).
thf(tp_v1_finseq_1,type,
v1_finseq_1: $i > $o ).
thf(tp_v1_finseqop,type,
v1_finseqop: $i > $i > $o ).
thf(tp_v1_finset_1,type,
v1_finset_1: $i > $o ).
thf(tp_v1_fraenkel,type,
v1_fraenkel: $i > $o ).
thf(tp_v1_funcop_1,type,
v1_funcop_1: $i > $o ).
thf(tp_v1_funct_1,type,
v1_funct_1: $i > $o ).
thf(tp_v1_funct_2,type,
v1_funct_2: $i > $i > $i > $o ).
thf(tp_v1_group_1,type,
v1_group_1: $i > $o ).
thf(tp_v1_int_1,type,
v1_int_1: $i > $o ).
thf(tp_v1_lattices,type,
v1_lattices: $i > $o ).
thf(tp_v1_membered,type,
v1_membered: $i > $o ).
thf(tp_v1_mssubfam,type,
v1_mssubfam: $i > $i > $i > $o ).
thf(tp_v1_msualg_1,type,
v1_msualg_1: $i > $o ).
thf(tp_v1_msualg_2,type,
v1_msualg_2: $i > $i > $o ).
thf(tp_v1_ordinal1,type,
v1_ordinal1: $i > $o ).
thf(tp_v1_ordinal2,type,
v1_ordinal2: $i > $o ).
thf(tp_v1_partfun1,type,
v1_partfun1: $i > $i > $i > $o ).
thf(tp_v1_pboole,type,
v1_pboole: $i > $i > $o ).
thf(tp_v1_pralg_2,type,
v1_pralg_2: $i > $o ).
thf(tp_v1_pre_circ,type,
v1_pre_circ: $i > $i > $o ).
thf(tp_v1_rat_1,type,
v1_rat_1: $i > $o ).
thf(tp_v1_realset1,type,
v1_realset1: $i > $o ).
thf(tp_v1_realset2,type,
v1_realset2: $i > $o ).
thf(tp_v1_relat_1,type,
v1_relat_1: $i > $o ).
thf(tp_v1_relat_2,type,
v1_relat_2: $i > $o ).
thf(tp_v1_rlvect_1,type,
v1_rlvect_1: $i > $o ).
thf(tp_v1_seq_1,type,
v1_seq_1: $i > $o ).
thf(tp_v1_seq_2,type,
v1_seq_2: $i > $o ).
thf(tp_v1_seq_4,type,
v1_seq_4: $i > $o ).
thf(tp_v1_seqm_3,type,
v1_seqm_3: $i > $o ).
thf(tp_v1_setfam_1,type,
v1_setfam_1: $i > $o ).
thf(tp_v1_setwiseo,type,
v1_setwiseo: $i > $i > $o ).
thf(tp_v1_struct_0,type,
v1_struct_0: $i > $o ).
thf(tp_v1_trees_1,type,
v1_trees_1: $i > $o ).
thf(tp_v1_unialg_1,type,
v1_unialg_1: $i > $i > $o ).
thf(tp_v1_vectsp_1,type,
v1_vectsp_1: $i > $o ).
thf(tp_v1_xboole_0,type,
v1_xboole_0: $i > $o ).
thf(tp_v1_xcmplx_0,type,
v1_xcmplx_0: $i > $o ).
thf(tp_v1_xreal_0,type,
v1_xreal_0: $i > $o ).
thf(tp_v2_binop_1,type,
v2_binop_1: $i > $i > $o ).
thf(tp_v2_card_1,type,
v2_card_1: $i > $o ).
thf(tp_v2_closure2,type,
v2_closure2: $i > $i > $i > $o ).
thf(tp_v2_finseq_1,type,
v2_finseq_1: $i > $o ).
thf(tp_v2_funct_1,type,
v2_funct_1: $i > $o ).
thf(tp_v2_funct_2,type,
v2_funct_2: $i > $i > $i > $o ).
thf(tp_v2_group_1,type,
v2_group_1: $i > $o ).
thf(tp_v2_lattices,type,
v2_lattices: $i > $o ).
thf(tp_v2_membered,type,
v2_membered: $i > $o ).
thf(tp_v2_mssubfam,type,
v2_mssubfam: $i > $i > $i > $o ).
thf(tp_v2_msualg_1,type,
v2_msualg_1: $i > $o ).
thf(tp_v2_msualg_2,type,
v2_msualg_2: $i > $o ).
thf(tp_v2_ordinal1,type,
v2_ordinal1: $i > $o ).
thf(tp_v2_ordinal2,type,
v2_ordinal2: $i > $o ).
thf(tp_v2_pboole,type,
v2_pboole: $i > $i > $o ).
thf(tp_v2_realset2,type,
v2_realset2: $i > $o ).
thf(tp_v2_relat_1,type,
v2_relat_1: $i > $o ).
thf(tp_v2_rlvect_1,type,
v2_rlvect_1: $i > $o ).
thf(tp_v2_seq_2,type,
v2_seq_2: $i > $o ).
thf(tp_v2_seq_4,type,
v2_seq_4: $i > $o ).
thf(tp_v2_setfam_1,type,
v2_setfam_1: $i > $o ).
thf(tp_v2_struct_0,type,
v2_struct_0: $i > $o ).
thf(tp_v2_unialg_1,type,
v2_unialg_1: $i > $i > $o ).
thf(tp_v2_vectsp_1,type,
v2_vectsp_1: $i > $o ).
thf(tp_v2_wellord1,type,
v2_wellord1: $i > $o ).
thf(tp_v2_xreal_0,type,
v2_xreal_0: $i > $o ).
thf(tp_v3_binop_1,type,
v3_binop_1: $i > $i > $o ).
thf(tp_v3_closure2,type,
v3_closure2: $i > $i > $i > $o ).
thf(tp_v3_funct_2,type,
v3_funct_2: $i > $i > $i > $o ).
thf(tp_v3_group_1,type,
v3_group_1: $i > $o ).
thf(tp_v3_lattices,type,
v3_lattices: $i > $o ).
thf(tp_v3_membered,type,
v3_membered: $i > $o ).
thf(tp_v3_mssubfam,type,
v3_mssubfam: $i > $i > $i > $o ).
thf(tp_v3_msualg_1,type,
v3_msualg_1: $i > $i > $o ).
thf(tp_v3_msualg_2,type,
v3_msualg_2: $i > $i > $i > $o ).
thf(tp_v3_ordinal1,type,
v3_ordinal1: $i > $o ).
thf(tp_v3_ordinal2,type,
v3_ordinal2: $i > $o ).
thf(tp_v3_realset2,type,
v3_realset2: $i > $o ).
thf(tp_v3_relat_1,type,
v3_relat_1: $i > $o ).
thf(tp_v3_relat_2,type,
v3_relat_2: $i > $o ).
thf(tp_v3_rlvect_1,type,
v3_rlvect_1: $i > $o ).
thf(tp_v3_seq_2,type,
v3_seq_2: $i > $o ).
thf(tp_v3_seq_4,type,
v3_seq_4: $i > $o ).
thf(tp_v3_seqm_3,type,
v3_seqm_3: $i > $o ).
thf(tp_v3_struct_0,type,
v3_struct_0: $i > $o ).
thf(tp_v3_trees_2,type,
v3_trees_2: $i > $o ).
thf(tp_v3_unialg_1,type,
v3_unialg_1: $i > $o ).
thf(tp_v3_vectsp_1,type,
v3_vectsp_1: $i > $o ).
thf(tp_v3_xreal_0,type,
v3_xreal_0: $i > $o ).
thf(tp_v4_closure2,type,
v4_closure2: $i > $i > $i > $o ).
thf(tp_v4_group_1,type,
v4_group_1: $i > $o ).
thf(tp_v4_lattices,type,
v4_lattices: $i > $o ).
thf(tp_v4_membered,type,
v4_membered: $i > $o ).
thf(tp_v4_mssubfam,type,
v4_mssubfam: $i > $i > $i > $o ).
thf(tp_v4_msualg_1,type,
v4_msualg_1: $i > $i > $o ).
thf(tp_v4_ordinal1,type,
v4_ordinal1: $i > $o ).
thf(tp_v4_ordinal2,type,
v4_ordinal2: $i > $o ).
thf(tp_v4_realset2,type,
v4_realset2: $i > $o ).
thf(tp_v4_relat_2,type,
v4_relat_2: $i > $o ).
thf(tp_v4_rlvect_1,type,
v4_rlvect_1: $i > $o ).
thf(tp_v4_seq_2,type,
v4_seq_2: $i > $o ).
thf(tp_v4_seqm_3,type,
v4_seqm_3: $i > $o ).
thf(tp_v4_trees_3,type,
v4_trees_3: $i > $o ).
thf(tp_v4_unialg_1,type,
v4_unialg_1: $i > $i > $o ).
thf(tp_v4_vectsp_1,type,
v4_vectsp_1: $i > $o ).
thf(tp_v5_closure2,type,
v5_closure2: $i > $i > $i > $o ).
thf(tp_v5_group_1,type,
v5_group_1: $i > $i > $o ).
thf(tp_v5_lattices,type,
v5_lattices: $i > $o ).
thf(tp_v5_membered,type,
v5_membered: $i > $o ).
thf(tp_v5_mssubfam,type,
v5_mssubfam: $i > $i > $i > $o ).
thf(tp_v5_msualg_1,type,
v5_msualg_1: $i > $i > $o ).
thf(tp_v5_ordinal1,type,
v5_ordinal1: $i > $o ).
thf(tp_v5_rlvect_1,type,
v5_rlvect_1: $i > $o ).
thf(tp_v5_seqm_3,type,
v5_seqm_3: $i > $o ).
thf(tp_v5_unialg_1,type,
v5_unialg_1: $i > $i > $o ).
thf(tp_v5_vectsp_1,type,
v5_vectsp_1: $i > $o ).
thf(tp_v6_closure2,type,
v6_closure2: $i > $i > $i > $o ).
thf(tp_v6_group_1,type,
v6_group_1: $i > $o ).
thf(tp_v6_lattices,type,
v6_lattices: $i > $o ).
thf(tp_v6_mssubfam,type,
v6_mssubfam: $i > $i > $i > $o ).
thf(tp_v6_msualg_1,type,
v6_msualg_1: $i > $o ).
thf(tp_v6_ordinal1,type,
v6_ordinal1: $i > $o ).
thf(tp_v6_rlvect_1,type,
v6_rlvect_1: $i > $o ).
thf(tp_v6_seqm_3,type,
v6_seqm_3: $i > $o ).
thf(tp_v6_trees_3,type,
v6_trees_3: $i > $o ).
thf(tp_v6_unialg_1,type,
v6_unialg_1: $i > $o ).
thf(tp_v6_vectsp_1,type,
v6_vectsp_1: $i > $o ).
thf(tp_v7_closure2,type,
v7_closure2: $i > $i > $i > $o ).
thf(tp_v7_group_1,type,
v7_group_1: $i > $o ).
thf(tp_v7_lattices,type,
v7_lattices: $i > $o ).
thf(tp_v7_rlvect_1,type,
v7_rlvect_1: $i > $o ).
thf(tp_v7_seqm_3,type,
v7_seqm_3: $i > $o ).
thf(tp_v7_unialg_1,type,
v7_unialg_1: $i > $o ).
thf(tp_v7_vectsp_1,type,
v7_vectsp_1: $i > $o ).
thf(tp_v8_closure2,type,
v8_closure2: $i > $i > $i > $o ).
thf(tp_v8_lattices,type,
v8_lattices: $i > $o ).
thf(tp_v8_relat_2,type,
v8_relat_2: $i > $o ).
thf(tp_v8_rlvect_1,type,
v8_rlvect_1: $i > $i > $o ).
thf(tp_v8_unialg_1,type,
v8_unialg_1: $i > $o ).
thf(tp_v8_vectsp_1,type,
v8_vectsp_1: $i > $o ).
thf(tp_v9_closure2,type,
v9_closure2: $i > $i > $i > $o ).
thf(tp_v9_lattices,type,
v9_lattices: $i > $o ).
thf(tp_v9_vectsp_1,type,
v9_vectsp_1: $i > $o ).
thf(3,axiom,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ! [B: $i] :
( ( m1_pboole @ B @ A )
=> ! [C: $i] :
( ( C
= ( k1_closure3 @ A @ B ) )
<=> ( C
= ( a_2_0_closure3 @ A @ B ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_closure3) ).
thf(10,axiom,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ! [B: $i] :
( ( m1_pboole @ B @ A )
=> ! [C: $i] :
( ( m1_pboole @ C @ A )
=> ( ( k1_funct_4 @ B @ C )
= C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_closure3) ).
thf(22,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_closure3) ).
thf(28,axiom,
! [A: $i,B: $i,C: $i] :
( ( ~ ( v1_xboole_0 @ B )
& ( m1_pboole @ C @ B ) )
=> ( ( r2_hidden @ A @ ( a_2_0_closure3 @ B @ C ) )
<=> ? [D: $i] :
( ( m1_subset_1 @ D @ B )
& ( A = D )
& ( ( k1_funct_1 @ C @ D )
!= k1_xboole_0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fraenkel_a_2_0_closure3) ).
thf(59,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_closure2) ).
thf(95,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d11_closure2) ).
thf(115,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_closure2) ).
thf(128,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_closure2) ).
thf(168,axiom,
! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( v1_fraenkel @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_closure2) ).
thf(178,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_pralg_2) ).
thf(179,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_pralg_2) ).
thf(187,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_pralg_2) ).
thf(194,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_pralg_2) ).
thf(215,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_pralg_2) ).
thf(218,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7_pralg_2) ).
thf(220,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_pralg_2) ).
thf(221,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_pralg_2) ).
thf(222,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_pralg_2) ).
thf(223,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_pralg_2) ).
thf(224,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_pralg_2) ).
thf(226,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_pralg_2) ).
thf(227,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_pralg_2) ).
thf(228,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_pralg_2) ).
thf(247,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k14_msualg_2) ).
thf(253,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_msualg_2) ).
thf(255,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_msualg_2) ).
thf(256,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_msualg_2) ).
thf(265,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t39_msualg_2) ).
thf(323,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_msualg_2) ).
thf(325,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_msualg_2) ).
thf(351,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_msualg_1) ).
thf(354,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k11_msualg_1) ).
thf(372,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_msualg_1) ).
thf(394,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_msualg_1) ).
thf(395,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_msualg_1) ).
thf(396,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_msualg_1) ).
thf(397,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_msualg_1) ).
thf(398,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_msualg_1) ).
thf(406,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_msualg_1) ).
thf(407,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_msualg_1) ).
thf(408,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_msualg_1) ).
thf(409,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_msualg_1) ).
thf(441,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d6_unialg_1) ).
thf(444,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_unialg_1) ).
thf(548,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t91_vectsp_1) ).
thf(554,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t85_vectsp_1) ).
thf(556,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t83_vectsp_1) ).
thf(557,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t82_vectsp_1) ).
thf(559,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t80_vectsp_1) ).
thf(560,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t79_vectsp_1) ).
thf(563,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d27_vectsp_1) ).
thf(565,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t77_vectsp_1) ).
thf(566,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t76_vectsp_1) ).
thf(567,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t75_vectsp_1) ).
thf(570,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t72_vectsp_1) ).
thf(571,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t71_vectsp_1) ).
thf(580,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t62_vectsp_1) ).
thf(581,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t61_vectsp_1) ).
thf(584,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t58_vectsp_1) ).
thf(585,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t57_vectsp_1) ).
thf(586,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t56_vectsp_1) ).
thf(587,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t55_vectsp_1) ).
thf(588,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t54_vectsp_1) ).
thf(589,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t53_vectsp_1) ).
thf(590,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t52_vectsp_1) ).
thf(591,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t51_vectsp_1) ).
thf(592,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t50_vectsp_1) ).
thf(593,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t49_vectsp_1) ).
thf(594,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t48_vectsp_1) ).
thf(595,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t47_vectsp_1) ).
thf(596,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t46_vectsp_1) ).
thf(607,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t38_vectsp_1) ).
thf(608,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_vectsp_1) ).
thf(610,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t35_vectsp_1) ).
thf(611,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t34_vectsp_1) ).
thf(615,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t32_vectsp_1) ).
thf(616,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t31_vectsp_1) ).
thf(617,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_vectsp_1) ).
thf(618,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t29_vectsp_1) ).
thf(619,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t28_vectsp_1) ).
thf(620,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t27_vectsp_1) ).
thf(621,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t26_vectsp_1) ).
thf(622,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t25_vectsp_1) ).
thf(623,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_vectsp_1) ).
thf(624,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_vectsp_1) ).
thf(628,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_vectsp_1) ).
thf(629,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_vectsp_1) ).
thf(630,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_vectsp_1) ).
thf(631,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_vectsp_1) ).
thf(632,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_vectsp_1) ).
thf(633,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_vectsp_1) ).
thf(634,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_vectsp_1) ).
thf(635,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_vectsp_1) ).
thf(636,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_vectsp_1) ).
thf(637,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_vectsp_1) ).
thf(638,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_vectsp_1) ).
thf(639,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_vectsp_1) ).
thf(644,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d17_vectsp_1) ).
thf(645,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d16_vectsp_1) ).
thf(647,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d14_vectsp_1) ).
thf(651,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_vectsp_1) ).
thf(653,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_vectsp_1) ).
thf(654,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7_vectsp_1) ).
thf(657,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_vectsp_1) ).
thf(658,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_vectsp_1) ).
thf(659,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_vectsp_1) ).
thf(660,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_vectsp_1) ).
thf(661,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_vectsp_1) ).
thf(663,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_vectsp_1) ).
thf(664,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_vectsp_1) ).
thf(665,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_vectsp_1) ).
thf(666,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_vectsp_1) ).
thf(667,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_vectsp_1) ).
thf(716,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t93_group_1) ).
thf(718,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t91_group_1) ).
thf(721,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t89_group_1) ).
thf(722,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t88_group_1) ).
thf(723,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t87_group_1) ).
thf(730,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t83_group_1) ).
thf(732,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t81_group_1) ).
thf(733,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t80_group_1) ).
thf(736,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t78_group_1) ).
thf(739,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t76_group_1) ).
thf(757,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t58_group_1) ).
thf(758,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t57_group_1) ).
thf(774,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t41_group_1) ).
thf(775,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t40_group_1) ).
thf(776,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t39_group_1) ).
thf(777,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t38_group_1) ).
thf(788,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_group_1) ).
thf(789,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t29_group_1) ).
thf(806,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_group_1) ).
thf(808,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_group_1) ).
thf(811,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_group_1) ).
thf(812,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_group_1) ).
thf(817,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_group_1) ).
thf(818,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_group_1) ).
thf(819,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_group_1) ).
thf(820,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_group_1) ).
thf(867,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t88_rlvect_1) ).
thf(890,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t65_rlvect_1) ).
thf(902,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t53_rlvect_1) ).
thf(903,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t52_rlvect_1) ).
thf(924,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t32_rlvect_1) ).
thf(938,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_rlvect_1) ).
thf(939,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_rlvect_1) ).
thf(941,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_rlvect_1) ).
thf(942,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_rlvect_1) ).
thf(943,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_rlvect_1) ).
thf(944,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_rlvect_1) ).
thf(945,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_rlvect_1) ).
thf(949,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_rlvect_1) ).
thf(950,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_rlvect_1) ).
thf(952,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_rlvect_1) ).
thf(959,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_rlvect_1) ).
thf(964,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_rlvect_1) ).
thf(965,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_rlvect_1) ).
thf(1011,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t46_lattices) ).
thf(1016,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_lattices) ).
thf(1020,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t38_lattices) ).
thf(1021,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_lattices) ).
thf(1022,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t36_lattices) ).
thf(1023,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t35_lattices) ).
thf(1025,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t33_lattices) ).
thf(1028,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_lattices) ).
thf(1030,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t28_lattices) ).
thf(1034,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_lattices) ).
thf(1038,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_lattices) ).
thf(1042,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_lattices) ).
thf(1043,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_lattices) ).
thf(1044,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_lattices) ).
thf(1045,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_lattices) ).
thf(1046,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_lattices) ).
thf(1047,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_lattices) ).
thf(1048,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_lattices) ).
thf(1049,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_lattices) ).
thf(1050,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_lattices) ).
thf(1051,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_lattices) ).
thf(1052,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_lattices) ).
thf(1053,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_lattices) ).
thf(1054,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_lattices) ).
thf(1055,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_lattices) ).
thf(1056,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_lattices) ).
thf(1057,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_lattices) ).
thf(1101,axiom,
! [A: $i,B: $i] :
( ( m1_subset_1 @ B @ A )
=> ! [C: $i,D: $i] :
( ( ( g2_struct_0 @ A @ B )
= ( g2_struct_0 @ C @ D ) )
=> ( ( A = C )
& ( B = D ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',free_g2_struct_0) ).
thf(1106,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_struct_0) ).
thf(1117,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_struct_0) ).
thf(1162,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_mssubfam) ).
thf(1226,axiom,
! [A: $i,B: $i] :
( ( m1_pboole @ B @ A )
=> ( m1_pboole @ ( k2_mboolean @ A @ B ) @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_mboolean) ).
thf(1227,axiom,
! [A: $i,B: $i] :
( ( m1_pboole @ B @ A )
=> ( m1_pboole @ ( k1_mboolean @ A @ B ) @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_mboolean) ).
thf(1252,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_mboolean) ).
thf(1279,axiom,
! [A: $i,B: $i] : ( m1_pboole @ ( k2_pre_circ @ A @ B ) @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_pre_circ) ).
thf(1303,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_pre_circ) ).
thf(1309,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_pre_circ) ).
thf(1328,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_funct_6) ).
thf(1329,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_funct_6) ).
thf(1332,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_funct_6) ).
thf(1335,axiom,
( ( k10_funct_6 @ k1_xboole_0 )
= k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t88_funct_6) ).
thf(1341,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d11_funct_6) ).
thf(1342,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_funct_6) ).
thf(1347,axiom,
! [A: $i] :
( ( k9_funct_6 @ A @ k1_xboole_0 )
= k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t79_funct_6) ).
thf(1354,axiom,
! [A: $i] :
( ( k8_funct_6 @ k1_xboole_0 @ A )
= k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t73_funct_6) ).
thf(1393,axiom,
( ( k4_funct_6 @ k1_xboole_0 )
= k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t38_funct_6) ).
thf(1439,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_realset1) ).
thf(1441,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m4_realset1) ).
thf(1442,axiom,
! [A: $i,B: $i] :
( ( m1_subset_1 @ B @ A )
=> ? [C: $i] : ( m3_realset1 @ C @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m3_realset1) ).
thf(1449,axiom,
! [A: $i] :
( ~ ( ~ ( v1_realset1 @ A )
& ! [B: $i,C: $i] :
~ ( ( r2_hidden @ B @ A )
& ( r2_hidden @ C @ A )
& ( B != C ) ) )
& ~ ( ? [B: $i,C: $i] :
( ( r2_hidden @ B @ A )
& ( r2_hidden @ C @ A )
& ( B != C ) )
& ( v1_realset1 @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_realset1) ).
thf(1476,axiom,
! [A: $i] :
( ~ ( v1_realset1 @ A )
=> ~ ( v1_xboole_0 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_realset1) ).
thf(1477,axiom,
? [A: $i] :
( ~ ( v1_xboole_0 @ A )
& ~ ( v1_realset1 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_realset1) ).
thf(1478,axiom,
? [A: $i] :
( ~ ( v1_xboole_0 @ A )
& ( v1_realset1 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_realset1) ).
thf(1520,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t34_seq_4) ).
thf(1533,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_seq_4) ).
thf(1534,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_seq_4) ).
thf(1543,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_seq_4) ).
thf(1544,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_seq_4) ).
thf(1545,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_seq_4) ).
thf(1552,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_seq_4) ).
thf(1553,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_seq_4) ).
thf(1554,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_seq_4) ).
thf(1555,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_seq_4) ).
thf(1556,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_seq_4) ).
thf(1557,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_seq_4) ).
thf(1558,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_seq_4) ).
thf(1562,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ( m1_pboole @ ( k12_pboole @ A @ B @ C ) @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k12_pboole) ).
thf(1563,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ( m1_pboole @ ( k11_pboole @ A @ B @ C ) @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k11_pboole) ).
thf(1572,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ( ( k5_pboole @ A @ B @ C )
= ( k5_pboole @ A @ C @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k5_pboole) ).
thf(1573,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ( m1_pboole @ ( k5_pboole @ A @ B @ C ) @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_pboole) ).
thf(1574,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ( m1_pboole @ ( k4_pboole @ A @ B @ C ) @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_pboole) ).
thf(1575,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ( ( k3_pboole @ A @ B @ B )
= B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_k3_pboole) ).
thf(1576,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ( ( k3_pboole @ A @ B @ C )
= ( k3_pboole @ A @ C @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k3_pboole) ).
thf(1577,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ( m1_pboole @ ( k3_pboole @ A @ B @ C ) @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_pboole) ).
thf(1578,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ( ( k2_pboole @ A @ B @ B )
= B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_k2_pboole) ).
thf(1579,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ( ( k2_pboole @ A @ B @ C )
= ( k2_pboole @ A @ C @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_pboole) ).
thf(1580,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ( m1_pboole @ ( k2_pboole @ A @ B @ C ) @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_pboole) ).
thf(1581,axiom,
! [A: $i] : ( m1_pboole @ ( k1_pboole @ A ) @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_pboole) ).
thf(1582,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ( r7_pboole @ A @ B @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r7_pboole) ).
thf(1583,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ( ( r6_pboole @ A @ B @ C )
<=> ( B = C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_r6_pboole) ).
thf(1584,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ( r6_pboole @ A @ B @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r6_pboole) ).
thf(1585,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ( ( r6_pboole @ A @ B @ C )
=> ( r6_pboole @ A @ C @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_r6_pboole) ).
thf(1586,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ( ( r5_pboole @ A @ B @ C )
=> ( r5_pboole @ A @ C @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_r5_pboole) ).
thf(1587,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ( ( r4_pboole @ A @ B @ C )
=> ( r4_pboole @ A @ C @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_r4_pboole) ).
thf(1589,axiom,
! [A: $i,B: $i,C: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ( ( r3_pboole @ A @ B @ C )
=> ~ ( r3_pboole @ A @ C @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r3_pboole) ).
thf(1590,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ( r2_pboole @ A @ B @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r2_pboole) ).
thf(1593,axiom,
! [A: $i,B: $i] :
( ( m1_pboole @ B @ A )
=> ? [C: $i] : ( m4_pboole @ C @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m4_pboole) ).
thf(1594,axiom,
! [A: $i,B: $i] :
( ( m1_pboole @ B @ A )
=> ! [C: $i] :
( ( m4_pboole @ C @ A @ B )
=> ( m1_pboole @ C @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m4_pboole) ).
thf(1595,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ? [D: $i] : ( m3_pboole @ D @ A @ B @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m3_pboole) ).
thf(1596,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ! [D: $i] :
( ( m3_pboole @ D @ A @ B @ C )
=> ( m1_pboole @ D @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m3_pboole) ).
thf(1597,axiom,
! [A: $i,B: $i] :
( ( m1_pboole @ B @ A )
=> ? [C: $i] : ( m2_pboole @ C @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m2_pboole) ).
thf(1598,axiom,
! [A: $i,B: $i] :
( ( m1_pboole @ B @ A )
=> ! [C: $i] :
( ( m2_pboole @ C @ A @ B )
=> ( m1_pboole @ C @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_pboole) ).
thf(1599,axiom,
! [A: $i] :
? [B: $i] : ( m1_pboole @ B @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_pboole) ).
thf(1616,axiom,
! [A: $i,B: $i] :
( ( m1_pboole @ B @ A )
=> ! [C: $i] :
( ( m1_pboole @ C @ A )
=> ( ( m2_pboole @ C @ A @ B )
<=> ! [D: $i] :
( ( r2_hidden @ D @ A )
=> ( m1_subset_1 @ ( k1_funct_1 @ C @ D ) @ ( k1_funct_1 @ B @ D ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d17_pboole) ).
thf(1617,axiom,
! [A: $i,B: $i] :
( ( m1_pboole @ B @ A )
=> ! [C: $i] :
( ( r2_hidden @ C @ A )
=> ( m1_subset_1 @ ( k1_funct_1 @ B @ C ) @ ( k2_relat_1 @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t151_pboole) ).
thf(1618,axiom,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ! [B: $i] :
( ( m1_pboole @ B @ A )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( k2_relat_1 @ B ) )
=> ? [D: $i] :
( ( r2_hidden @ D @ A )
& ( C
= ( k1_funct_1 @ B @ D ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t150_pboole) ).
thf(1628,axiom,
! [A: $i,B: $i] :
( ( m1_pboole @ B @ A )
=> ( ( v2_relat_1 @ B )
<=> ! [C: $i] :
~ ( ( r2_hidden @ C @ A )
& ( v1_xboole_0 @ ( k1_funct_1 @ B @ C ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d16_pboole) ).
thf(1629,axiom,
! [A: $i,B: $i] :
( ( m1_pboole @ B @ A )
=> ( ( v3_relat_1 @ B )
<=> ! [C: $i] :
( ( r2_hidden @ C @ A )
=> ( v1_xboole_0 @ ( k1_funct_1 @ B @ C ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d15_pboole) ).
thf(1636,axiom,
! [A: $i] :
( ( m1_pboole @ A @ k1_xboole_0 )
=> ( A = k1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t134_pboole) ).
thf(1638,axiom,
! [A: $i,B: $i] :
( ( m1_pboole @ B @ A )
=> ! [C: $i] :
( ( m1_pboole @ C @ A )
=> ! [D: $i] :
( ( m1_pboole @ D @ A )
=> ( ( ( r7_pboole @ A @ B @ C )
& ( r7_pboole @ A @ C @ D ) )
=> ( r7_pboole @ A @ B @ D ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t132_pboole) ).
thf(1639,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t131_pboole) ).
thf(1646,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t125_pboole) ).
thf(1654,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t117_pboole) ).
thf(1664,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t107_pboole) ).
thf(1678,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t93_pboole) ).
thf(1681,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t90_pboole) ).
thf(1738,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t33_pboole) ).
thf(1739,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t32_pboole) ).
thf(1740,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t31_pboole) ).
thf(1741,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_pboole) ).
thf(1756,axiom,
! [A: $i,B: $i] :
( ( m1_pboole @ B @ A )
=> ! [C: $i] :
( ( m1_pboole @ C @ A )
=> ! [D: $i] :
( ( m1_pboole @ D @ A )
=> ( ( ( r2_pboole @ A @ B @ C )
& ( r2_pboole @ A @ C @ D ) )
=> ( r2_pboole @ A @ B @ D ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_pboole) ).
thf(1757,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_pboole) ).
thf(1758,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_pboole) ).
thf(1766,axiom,
! [A: $i,B: $i] :
( ( m1_pboole @ B @ A )
=> ( ! [C: $i] :
( ( r2_hidden @ C @ A )
=> ( ( k1_funct_1 @ B @ C )
= k1_xboole_0 ) )
=> ( B
= ( k1_pboole @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_pboole) ).
thf(1767,axiom,
! [A: $i,B: $i] :
( ( k1_funct_1 @ ( k1_pboole @ B ) @ A )
= k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_pboole) ).
thf(1776,axiom,
! [A: $i,B: $i] :
( ( m1_pboole @ B @ A )
=> ! [C: $i] :
( ( m1_pboole @ C @ A )
=> ( ! [D: $i] :
( ( r2_hidden @ D @ A )
=> ( ( k1_funct_1 @ B @ D )
= ( k1_funct_1 @ C @ D ) ) )
=> ( B = C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_pboole) ).
thf(1778,axiom,
! [A: $i,B: $i] :
( ( m1_pboole @ B @ A )
=> ! [C: $i] :
( ( m1_pboole @ C @ A )
=> ( ( r1_pboole @ A @ B @ C )
<=> ! [D: $i] :
( ( r2_hidden @ D @ A )
=> ( r2_hidden @ ( k1_funct_1 @ B @ D ) @ ( k1_funct_1 @ C @ D ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_pboole) ).
thf(1780,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_pboole) ).
thf(1781,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_pboole) ).
thf(1786,axiom,
! [A: $i,B: $i,C: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ( v2_relat_1 @ B )
& ( m1_pboole @ B @ A )
& ( m1_subset_1 @ C @ A ) )
=> ~ ( v1_xboole_0 @ ( k1_funct_1 @ B @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_pboole) ).
thf(1797,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_card_3) ).
thf(1798,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_card_3) ).
thf(1799,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_card_3) ).
thf(1826,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_card_3) ).
thf(1827,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t41_card_3) ).
thf(1846,axiom,
! [A: $i] :
( ( k5_card_3 @ A @ k1_xboole_0 )
= k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_card_3) ).
thf(1847,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_card_3) ).
thf(1849,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_card_3) ).
thf(1857,axiom,
( ( k3_card_3 @ k1_xboole_0 )
= k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_card_3) ).
thf(1860,axiom,
( ( k2_card_3 @ k1_xboole_0 )
= k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_card_3) ).
thf(1862,axiom,
( ( k1_card_3 @ k1_xboole_0 )
= k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_card_3) ).
thf(1864,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_card_3) ).
thf(1865,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_card_3) ).
thf(1866,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_card_3) ).
thf(1867,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_card_3) ).
thf(1873,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_card_3) ).
thf(1874,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_card_3) ).
thf(1903,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_finseq_2) ).
thf(1942,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t108_finseq_2) ).
thf(1944,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t106_finseq_2) ).
thf(1947,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t103_finseq_2) ).
thf(1984,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t67_finseq_2) ).
thf(1999,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t53_finseq_2) ).
thf(2024,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t29_finseq_2) ).
thf(2036,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_finseq_2) ).
thf(2041,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_finseq_2) ).
thf(2046,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_finseq_2) ).
thf(2054,axiom,
! [A: $i] :
? [B: $i] :
( ( m1_finseq_2 @ B @ A )
& ~ ( v1_xboole_0 @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_finseq_2) ).
thf(2061,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k13_finseq_1) ).
thf(2064,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k11_finseq_1) ).
thf(2065,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k10_finseq_1) ).
thf(2072,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_finseq_1) ).
thf(2079,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_finseq_1) ).
thf(2109,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t70_finseq_1) ).
thf(2113,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t67_finseq_1) ).
thf(2115,axiom,
! [A: $i] : ( r2_hidden @ k1_xboole_0 @ ( k13_finseq_1 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t66_finseq_1) ).
thf(2128,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t54_finseq_1) ).
thf(2129,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t53_finseq_1) ).
thf(2131,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t51_finseq_1) ).
thf(2135,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t49_finseq_1) ).
thf(2151,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t34_finseq_1) ).
thf(2155,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t31_finseq_1) ).
thf(2156,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_finseq_1) ).
thf(2157,axiom,
! [A: $i] :
( ( k6_finseq_1 @ A )
= k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d6_finseq_1) ).
thf(2159,axiom,
! [A: $i] : ( m2_finseq_1 @ k1_xboole_0 @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t29_finseq_1) ).
thf(2160,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t28_finseq_1) ).
thf(2166,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_finseq_1) ).
thf(2176,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_finseq_1) ).
thf(2189,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_finseq_1) ).
thf(2190,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_finseq_1) ).
thf(2204,axiom,
! [A: $i] :
~ ( v1_xboole_0 @ ( k13_finseq_1 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc9_finseq_1) ).
thf(2220,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_card_1) ).
thf(2234,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t77_card_1) ).
thf(2236,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_card_1) ).
thf(2237,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_card_1) ).
thf(2239,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t75_card_1) ).
thf(2244,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t70_card_1) ).
thf(2247,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t67_card_1) ).
thf(2251,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t63_card_1) ).
thf(2252,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t62_card_1) ).
thf(2257,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t57_card_1) ).
thf(2259,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t55_card_1) ).
thf(2260,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t54_card_1) ).
thf(2261,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t53_card_1) ).
thf(2263,axiom,
np__0 = k1_xboole_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t51_card_1) ).
thf(2267,axiom,
( ( k1_card_1 @ k1_xboole_0 )
= k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t47_card_1) ).
thf(2268,axiom,
! [A: $i] :
( ( r2_wellord2 @ A @ k1_xboole_0 )
<=> ( A = k1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t46_card_1) ).
thf(2277,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_card_1) ).
thf(2285,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t31_card_1) ).
thf(2297,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_card_1) ).
thf(2298,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_card_1) ).
thf(2299,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_card_1) ).
thf(2300,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_card_1) ).
thf(2301,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_card_1) ).
thf(2302,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_card_1) ).
thf(2304,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_card_1) ).
thf(2305,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_card_1) ).
thf(2306,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_card_1) ).
thf(2309,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_card_1) ).
thf(2310,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_card_1) ).
thf(2311,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_card_1) ).
thf(2312,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_card_1) ).
thf(2314,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_card_1) ).
thf(2315,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_card_1) ).
thf(2316,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_card_1) ).
thf(2318,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_card_1) ).
thf(2319,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_card_1) ).
thf(2320,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_card_1) ).
thf(2455,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_int_1) ).
thf(2474,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t73_int_1) ).
thf(2483,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t67_int_1) ).
thf(2495,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t56_int_1) ).
thf(2498,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t53_int_1) ).
thf(2503,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t49_int_1) ).
thf(2506,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t46_int_1) ).
thf(2522,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t31_int_1) ).
thf(2523,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_int_1) ).
thf(2524,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t29_int_1) ).
thf(2525,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t28_int_1) ).
thf(2526,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t27_int_1) ).
thf(2527,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t26_int_1) ).
thf(2528,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t25_int_1) ).
thf(2529,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_int_1) ).
thf(2539,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_int_1) ).
thf(2540,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_int_1) ).
thf(2541,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_int_1) ).
thf(2542,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_int_1) ).
thf(2543,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_int_1) ).
thf(2544,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_int_1) ).
thf(2545,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_int_1) ).
thf(2548,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_int_1) ).
thf(2549,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_int_1) ).
thf(2550,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_int_1) ).
thf(2551,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_int_1) ).
thf(2552,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_int_1) ).
thf(2553,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_int_1) ).
thf(2624,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_numbers) ).
thf(2625,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_numbers) ).
thf(2626,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_numbers) ).
thf(2627,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_numbers) ).
thf(2661,axiom,
~ ( v1_xboole_0 @ k4_numbers ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_numbers) ).
thf(2662,axiom,
~ ( v1_xboole_0 @ k3_numbers ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_numbers) ).
thf(2663,axiom,
~ ( v1_xboole_0 @ k2_numbers ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_numbers) ).
thf(2664,axiom,
~ ( v1_xboole_0 @ k1_numbers ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_numbers) ).
thf(2744,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_fraenkel) ).
thf(2745,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_fraenkel) ).
thf(2748,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_fraenkel) ).
thf(2751,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_fraenkel) ).
thf(2755,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_fraenkel) ).
thf(2757,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_fraenkel) ).
thf(2758,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_fraenkel) ).
thf(2762,axiom,
? [A: $i] :
( ~ ( v1_xboole_0 @ A )
& ( v1_fraenkel @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_fraenkel) ).
thf(2784,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_finset_1) ).
thf(2785,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_finset_1) ).
thf(2786,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_finset_1) ).
thf(2787,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_finset_1) ).
thf(2788,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_finset_1) ).
thf(2789,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_finset_1) ).
thf(2790,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_finset_1) ).
thf(2791,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_finset_1) ).
thf(2792,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_finset_1) ).
thf(2793,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_finset_1) ).
thf(2794,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_finset_1) ).
thf(2795,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_finset_1) ).
thf(2818,axiom,
! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( v1_finset_1 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_finset_1) ).
thf(2819,axiom,
? [A: $i] :
( ~ ( v1_xboole_0 @ A )
& ( v1_finset_1 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_finset_1) ).
thf(2831,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_ordinal2) ).
thf(2833,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_ordinal2) ).
thf(2834,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_ordinal2) ).
thf(2835,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_ordinal2) ).
thf(2853,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t64_ordinal2) ).
thf(2875,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t43_ordinal2) ).
thf(2876,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_ordinal2) ).
thf(2877,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t41_ordinal2) ).
thf(2878,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t40_ordinal2) ).
thf(2879,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t39_ordinal2) ).
thf(2880,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t38_ordinal2) ).
thf(2881,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_ordinal2) ).
thf(2882,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t36_ordinal2) ).
thf(2897,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t33_ordinal2) ).
thf(2910,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_ordinal2) ).
thf(2911,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_ordinal2) ).
thf(2913,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_ordinal2) ).
thf(2923,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_ordinal2) ).
thf(2927,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_ordinal2) ).
thf(2931,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_ordinal2) ).
thf(2934,axiom,
v4_ordinal1 @ k1_xboole_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_ordinal2) ).
thf(2947,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_funct_4) ).
thf(2969,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( A != B )
=> ( ( ( k1_funct_1 @ ( k4_funct_4 @ A @ B @ C @ D ) @ A )
= C )
& ( ( k1_funct_1 @ ( k4_funct_4 @ A @ B @ C @ D ) @ B )
= D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t66_funct_4) ).
thf(3036,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_funct_4) ).
thf(3051,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_funcop_1) ).
thf(3052,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_funcop_1) ).
thf(3053,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_funcop_1) ).
thf(3054,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_funcop_1) ).
thf(3074,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t68_funcop_1) ).
thf(3080,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t62_funcop_1) ).
thf(3092,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t50_funcop_1) ).
thf(3102,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t40_funcop_1) ).
thf(3110,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t33_funcop_1) ).
thf(3132,axiom,
! [A: $i,B: $i,C: $i] :
( ( r2_hidden @ B @ A )
=> ( ( k1_funct_1 @ ( k2_funcop_1 @ A @ C ) @ B )
= C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_funcop_1) ).
thf(3133,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_funcop_1) ).
thf(3138,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_funcop_1) ).
thf(3141,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_funcop_1) ).
thf(3172,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_funct_2) ).
thf(3194,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t163_funct_2) ).
thf(3200,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t157_funct_2) ).
thf(3204,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t153_funct_2) ).
thf(3207,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t150_funct_2) ).
thf(3210,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t147_funct_2) ).
thf(3213,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t144_funct_2) ).
thf(3217,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t140_funct_2) ).
thf(3218,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t139_funct_2) ).
thf(3219,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t138_funct_2) ).
thf(3220,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t137_funct_2) ).
thf(3222,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t135_funct_2) ).
thf(3228,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t129_funct_2) ).
thf(3229,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t128_funct_2) ).
thf(3230,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t127_funct_2) ).
thf(3231,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t126_funct_2) ).
thf(3232,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t125_funct_2) ).
thf(3233,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t124_funct_2) ).
thf(3234,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t123_funct_2) ).
thf(3235,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t122_funct_2) ).
thf(3240,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t117_funct_2) ).
thf(3243,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t114_funct_2) ).
thf(3245,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t112_funct_2) ).
thf(3246,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t111_funct_2) ).
thf(3247,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t110_funct_2) ).
thf(3248,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t109_funct_2) ).
thf(3249,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t108_funct_2) ).
thf(3250,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t107_funct_2) ).
thf(3251,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t106_funct_2) ).
thf(3252,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t105_funct_2) ).
thf(3253,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t104_funct_2) ).
thf(3254,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t103_funct_2) ).
thf(3255,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t102_funct_2) ).
thf(3256,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t101_funct_2) ).
thf(3257,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t100_funct_2) ).
thf(3258,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t99_funct_2) ).
thf(3259,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t98_funct_2) ).
thf(3260,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t97_funct_2) ).
thf(3261,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t96_funct_2) ).
thf(3262,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t95_funct_2) ).
thf(3263,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t94_funct_2) ).
thf(3264,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t93_funct_2) ).
thf(3266,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t91_funct_2) ).
thf(3267,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t90_funct_2) ).
thf(3268,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t89_funct_2) ).
thf(3273,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t84_funct_2) ).
thf(3278,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t81_funct_2) ).
thf(3279,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t80_funct_2) ).
thf(3281,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t78_funct_2) ).
thf(3287,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t72_funct_2) ).
thf(3288,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t71_funct_2) ).
thf(3290,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t69_funct_2) ).
thf(3291,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t68_funct_2) ).
thf(3296,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t63_funct_2) ).
thf(3301,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t58_funct_2) ).
thf(3302,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t57_funct_2) ).
thf(3303,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t56_funct_2) ).
thf(3305,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t54_funct_2) ).
thf(3307,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t52_funct_2) ).
thf(3317,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_funct_2) ).
thf(3320,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t39_funct_2) ).
thf(3326,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t33_funct_2) ).
thf(3344,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_funct_2) ).
thf(3345,axiom,
! [A: $i] :
( ( A != k1_xboole_0 )
=> ( ( k1_funct_2 @ A @ k1_xboole_0 )
= k1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_funct_2) ).
thf(3346,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_funct_2) ).
thf(3349,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_funct_2) ).
thf(3358,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_funct_2) ).
thf(3359,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_funct_2) ).
thf(3367,axiom,
! [A: $i] :
~ ( v1_xboole_0 @ ( k1_funct_2 @ A @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_funct_2) ).
thf(3368,axiom,
! [A: $i,B: $i] :
( ~ ( v1_xboole_0 @ B )
=> ~ ( v1_xboole_0 @ ( k1_funct_2 @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_funct_2) ).
thf(3373,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_partfun1) ).
thf(3374,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_partfun1) ).
thf(3389,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t184_partfun1) ).
thf(3390,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t183_partfun1) ).
thf(3391,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t182_partfun1) ).
thf(3392,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t181_partfun1) ).
thf(3393,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t180_partfun1) ).
thf(3394,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t179_partfun1) ).
thf(3395,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t178_partfun1) ).
thf(3396,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t177_partfun1) ).
thf(3400,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t173_partfun1) ).
thf(3403,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t170_partfun1) ).
thf(3406,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t167_partfun1) ).
thf(3407,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t166_partfun1) ).
thf(3408,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t165_partfun1) ).
thf(3409,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t164_partfun1) ).
thf(3410,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t163_partfun1) ).
thf(3413,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t161_partfun1) ).
thf(3414,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t160_partfun1) ).
thf(3415,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t159_partfun1) ).
thf(3417,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t157_partfun1) ).
thf(3418,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t156_partfun1) ).
thf(3419,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t155_partfun1) ).
thf(3420,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t154_partfun1) ).
thf(3421,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t153_partfun1) ).
thf(3422,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t152_partfun1) ).
thf(3423,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t151_partfun1) ).
thf(3424,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t150_partfun1) ).
thf(3425,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t149_partfun1) ).
thf(3437,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t137_partfun1) ).
thf(3440,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t134_partfun1) ).
thf(3441,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t133_partfun1) ).
thf(3445,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t129_partfun1) ).
thf(3451,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t124_partfun1) ).
thf(3457,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t118_partfun1) ).
thf(3465,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t111_partfun1) ).
thf(3466,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t110_partfun1) ).
thf(3467,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t109_partfun1) ).
thf(3468,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t108_partfun1) ).
thf(3469,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t107_partfun1) ).
thf(3470,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t106_partfun1) ).
thf(3471,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t105_partfun1) ).
thf(3472,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t104_partfun1) ).
thf(3473,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t103_partfun1) ).
thf(3474,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t102_partfun1) ).
thf(3475,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t101_partfun1) ).
thf(3476,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t100_partfun1) ).
thf(3478,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t98_partfun1) ).
thf(3486,axiom,
! [A: $i,B: $i] :
( ( k3_partfun1 @ k1_xboole_0 @ A @ B )
= k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t91_partfun1) ).
thf(3487,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t90_partfun1) ).
thf(3488,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t89_partfun1) ).
thf(3489,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t88_partfun1) ).
thf(3502,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t75_partfun1) ).
thf(3504,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_partfun1) ).
thf(3505,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_partfun1) ).
thf(3528,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t52_partfun1) ).
thf(3530,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t50_partfun1) ).
thf(3532,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t48_partfun1) ).
thf(3538,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_partfun1) ).
thf(3539,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t41_partfun1) ).
thf(3540,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t40_partfun1) ).
thf(3557,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_partfun1) ).
thf(3558,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_partfun1) ).
thf(3559,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_partfun1) ).
thf(3560,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_partfun1) ).
thf(3561,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_partfun1) ).
thf(3562,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_partfun1) ).
thf(3563,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_partfun1) ).
thf(3564,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_partfun1) ).
thf(3565,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_partfun1) ).
thf(3566,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_partfun1) ).
thf(3567,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_partfun1) ).
thf(3568,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_partfun1) ).
thf(3569,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_partfun1) ).
thf(3570,axiom,
( ( k2_relat_1 @ k1_xboole_0 )
= k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_partfun1) ).
thf(3571,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_partfun1) ).
thf(3572,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_partfun1) ).
thf(3573,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_partfun1) ).
thf(3574,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_partfun1) ).
thf(3575,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_partfun1) ).
thf(3576,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_partfun1) ).
thf(3583,axiom,
! [A: $i,B: $i] :
~ ( v1_xboole_0 @ ( k4_partfun1 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_partfun1) ).
thf(3617,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_relset_1) ).
thf(3627,axiom,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ( ( k6_relat_1 @ A )
!= k1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t46_relset_1) ).
thf(3629,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t44_relset_1) ).
thf(3630,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t43_relset_1) ).
thf(3631,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_relset_1) ).
thf(3632,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t41_relset_1) ).
thf(3633,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t40_relset_1) ).
thf(3636,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_relset_1) ).
thf(3646,axiom,
! [A: $i,B: $i,C: $i] :
( ( m2_relset_1 @ C @ B @ A )
=> ( ( m2_relset_1 @ C @ B @ k1_xboole_0 )
=> ( C = k1_xboole_0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t27_relset_1) ).
thf(3647,axiom,
! [A: $i,B: $i,C: $i] :
( ( m2_relset_1 @ C @ A @ B )
=> ( ( m2_relset_1 @ C @ k1_xboole_0 @ B )
=> ( C = k1_xboole_0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t26_relset_1) ).
thf(3648,axiom,
! [A: $i,B: $i] : ( m2_relset_1 @ k1_xboole_0 @ A @ B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t25_relset_1) ).
thf(3652,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_relset_1) ).
thf(3653,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_relset_1) ).
thf(3655,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_relset_1) ).
thf(3666,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_relset_1) ).
thf(3668,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_relset_1) ).
thf(3670,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_relset_1) ).
thf(3671,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_relset_1) ).
thf(3672,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_relset_1) ).
thf(3677,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_ordinal1) ).
thf(3694,axiom,
! [A: $i] : ( m1_ordinal1 @ k1_xboole_0 @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t45_ordinal1) ).
thf(3695,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t44_ordinal1) ).
thf(3696,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t43_ordinal1) ).
thf(3701,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t40_ordinal1) ).
thf(3703,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_ordinal1) ).
thf(3705,axiom,
! [A: $i] :
~ ! [B: $i] :
( ( v3_ordinal1 @ B )
=> ( r2_hidden @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t38_ordinal1) ).
thf(3706,axiom,
! [A: $i] :
~ ! [B: $i] :
( ( r2_hidden @ B @ A )
<=> ( v3_ordinal1 @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_ordinal1) ).
thf(3715,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t28_ordinal1) ).
thf(3716,axiom,
v3_ordinal1 @ k1_xboole_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t27_ordinal1) ).
thf(3719,axiom,
! [A: $i] :
( ( v3_ordinal1 @ A )
=> ! [B: $i] :
( ( v3_ordinal1 @ B )
=> ~ ( ~ ( r2_hidden @ A @ B )
& ( A != B )
& ~ ( r2_hidden @ B @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_ordinal1) ).
thf(3720,axiom,
! [A: $i,B: $i] :
( ( v3_ordinal1 @ B )
=> ( ( r2_hidden @ A @ B )
=> ( v3_ordinal1 @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_ordinal1) ).
thf(3723,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_ordinal1) ).
thf(3725,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_ordinal1) ).
thf(3726,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_ordinal1) ).
thf(3727,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_ordinal1) ).
thf(3728,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_ordinal1) ).
thf(3730,axiom,
! [A: $i] :
( ( v2_ordinal1 @ A )
<=> ! [B: $i,C: $i] :
~ ( ( r2_hidden @ B @ A )
& ( r2_hidden @ C @ A )
& ~ ( r2_hidden @ B @ C )
& ( B != C )
& ~ ( r2_hidden @ C @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_ordinal1) ).
thf(3733,axiom,
! [A: $i,B: $i] :
( ( r2_hidden @ A @ ( k1_ordinal1 @ B ) )
<=> ( ( r2_hidden @ A @ B )
| ( A = B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_ordinal1) ).
thf(3735,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_ordinal1) ).
thf(3736,axiom,
! [A: $i] : ( r2_hidden @ A @ ( k1_ordinal1 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_ordinal1) ).
thf(3737,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_ordinal1) ).
thf(3738,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_ordinal1) ).
thf(3740,axiom,
! [A: $i,B: $i] :
~ ( ( r2_hidden @ A @ B )
& ( r1_tarski @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_ordinal1) ).
thf(3741,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
~ ( ( r2_hidden @ A @ B )
& ( r2_hidden @ B @ C )
& ( r2_hidden @ C @ D )
& ( r2_hidden @ D @ E )
& ( r2_hidden @ E @ F )
& ( r2_hidden @ F @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_ordinal1) ).
thf(3742,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
~ ( ( r2_hidden @ A @ B )
& ( r2_hidden @ B @ C )
& ( r2_hidden @ C @ D )
& ( r2_hidden @ D @ E )
& ( r2_hidden @ E @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_ordinal1) ).
thf(3743,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
~ ( ( r2_hidden @ A @ B )
& ( r2_hidden @ B @ C )
& ( r2_hidden @ C @ D )
& ( r2_hidden @ D @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_ordinal1) ).
thf(3744,axiom,
! [A: $i,B: $i,C: $i] :
~ ( ( r2_hidden @ A @ B )
& ( r2_hidden @ B @ C )
& ( r2_hidden @ C @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_ordinal1) ).
thf(3745,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_ordinal1) ).
thf(3746,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_ordinal1) ).
thf(3758,axiom,
! [A: $i] :
~ ( v1_xboole_0 @ ( k1_ordinal1 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_ordinal1) ).
thf(3760,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_funct_1) ).
thf(3788,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t141_funct_1) ).
thf(3789,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t140_funct_1) ).
thf(3793,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t136_funct_1) ).
thf(3794,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t135_funct_1) ).
thf(3795,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t134_funct_1) ).
thf(3796,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t133_funct_1) ).
thf(3797,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t132_funct_1) ).
thf(3798,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t131_funct_1) ).
thf(3799,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t130_funct_1) ).
thf(3800,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t129_funct_1) ).
thf(3801,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t128_funct_1) ).
thf(3802,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t127_funct_1) ).
thf(3811,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t119_funct_1) ).
thf(3814,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t116_funct_1) ).
thf(3815,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t115_funct_1) ).
thf(3816,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t114_funct_1) ).
thf(3817,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t113_funct_1) ).
thf(3818,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t112_funct_1) ).
thf(3819,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t111_funct_1) ).
thf(3820,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t110_funct_1) ).
thf(3821,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t109_funct_1) ).
thf(3822,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t108_funct_1) ).
thf(3823,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t107_funct_1) ).
thf(3824,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t106_funct_1) ).
thf(3825,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t105_funct_1) ).
thf(3826,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t104_funct_1) ).
thf(3827,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t103_funct_1) ).
thf(3828,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t102_funct_1) ).
thf(3829,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t101_funct_1) ).
thf(3830,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t100_funct_1) ).
thf(3832,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d11_funct_1) ).
thf(3833,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_funct_1) ).
thf(3835,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t98_funct_1) ).
thf(3837,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t96_funct_1) ).
thf(3838,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t95_funct_1) ).
thf(3839,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t94_funct_1) ).
thf(3840,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t93_funct_1) ).
thf(3841,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t92_funct_1) ).
thf(3842,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t91_funct_1) ).
thf(3843,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t90_funct_1) ).
thf(3845,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t88_funct_1) ).
thf(3850,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t83_funct_1) ).
thf(3852,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t81_funct_1) ).
thf(3853,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t80_funct_1) ).
thf(3854,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t79_funct_1) ).
thf(3855,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t78_funct_1) ).
thf(3856,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t77_funct_1) ).
thf(3858,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t75_funct_1) ).
thf(3859,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t74_funct_1) ).
thf(3864,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t69_funct_1) ).
thf(3889,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t45_funct_1) ).
thf(3891,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7_funct_1) ).
thf(3892,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d6_funct_1) ).
thf(3896,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t41_funct_1) ).
thf(3898,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t39_funct_1) ).
thf(3901,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t36_funct_1) ).
thf(3902,axiom,
! [A: $i,B: $i] :
( ( r2_hidden @ B @ A )
=> ( ( k1_funct_1 @ ( k6_relat_1 @ A ) @ B )
= B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t35_funct_1) ).
thf(3905,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t32_funct_1) ).
thf(3906,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t31_funct_1) ).
thf(3907,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_funct_1) ).
thf(3908,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t29_funct_1) ).
thf(3909,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t28_funct_1) ).
thf(3911,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t26_funct_1) ).
thf(3913,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_funct_1) ).
thf(3924,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_funct_1) ).
thf(3926,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_funct_1) ).
thf(3927,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_funct_1) ).
thf(3931,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_funct_1) ).
thf(3932,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_funct_1) ).
thf(3933,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_funct_1) ).
thf(3934,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_funct_1) ).
thf(3935,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_funct_1) ).
thf(3937,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_funct_1) ).
thf(3938,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_funct_1) ).
thf(3940,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_funct_1) ).
thf(3953,axiom,
! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( v1_funct_1 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_funct_1) ).
thf(3955,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k10_relat_1) ).
thf(3956,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k9_relat_1) ).
thf(3963,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_relat_1) ).
thf(3964,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_relat_1) ).
thf(3965,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_relat_1) ).
thf(3986,axiom,
! [A: $i] :
( ( k10_relat_1 @ k1_xboole_0 @ A )
= k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t172_relat_1) ).
thf(3993,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t165_relat_1) ).
thf(3994,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t164_relat_1) ).
thf(3997,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t162_relat_1) ).
thf(4009,axiom,
! [A: $i] :
( ( k9_relat_1 @ k1_xboole_0 @ A )
= k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t150_relat_1) ).
thf(4017,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t142_relat_1) ).
thf(4018,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t141_relat_1) ).
thf(4022,axiom,
! [A: $i] :
( ( k8_relat_1 @ A @ k1_xboole_0 )
= k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t138_relat_1) ).
thf(4046,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t114_relat_1) ).
thf(4047,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t113_relat_1) ).
thf(4050,axiom,
! [A: $i] :
( ( k7_relat_1 @ k1_xboole_0 @ A )
= k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t111_relat_1) ).
thf(4076,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t85_relat_1) ).
thf(4077,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t84_relat_1) ).
thf(4078,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t83_relat_1) ).
thf(4081,axiom,
( ( k6_relat_1 @ k1_xboole_0 )
= k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t81_relat_1) ).
thf(4092,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t70_relat_1) ).
thf(4093,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t69_relat_1) ).
thf(4094,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t68_relat_1) ).
thf(4098,axiom,
( ( k4_relat_1 @ k1_xboole_0 )
= k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t66_relat_1) ).
thf(4101,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t63_relat_1) ).
thf(4103,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t61_relat_1) ).
thf(4105,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t59_relat_1) ).
thf(4106,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t58_relat_1) ).
thf(4107,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t57_relat_1) ).
thf(4121,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t43_relat_1) ).
thf(4122,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_relat_1) ).
thf(4129,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t36_relat_1) ).
thf(4130,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t35_relat_1) ).
thf(4150,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_relat_1) ).
thf(4151,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_relat_1) ).
thf(4156,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_relat_1) ).
thf(4157,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_relat_1) ).
thf(4161,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_relat_1) ).
thf(4162,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_relat_1) ).
thf(4169,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_relat_1) ).
thf(4170,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_relat_1) ).
thf(4182,axiom,
? [A: $i] :
( ~ ( v1_xboole_0 @ A )
& ( v1_relat_1 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_relat_1) ).
thf(4183,axiom,
( ( v1_xboole_0 @ k1_xboole_0 )
& ( v1_relat_1 @ k1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_relat_1) ).
thf(4184,axiom,
! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( v1_relat_1 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relat_1) ).
thf(4188,axiom,
? [A: $i] :
( ( v1_xboole_0 @ A )
& ( v1_relat_1 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_relat_1) ).
thf(4189,axiom,
! [A: $i,B: $i,C: $i] :
~ ( ( r2_hidden @ A @ B )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ C ) )
& ( v1_xboole_0 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset) ).
thf(4190,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( r2_hidden @ A @ B )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ C ) ) )
=> ( m1_subset_1 @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
thf(4192,axiom,
! [A: $i,B: $i] :
( ( m1_subset_1 @ A @ B )
=> ( ( v1_xboole_0 @ B )
| ( r2_hidden @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
thf(4193,axiom,
! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ( m1_subset_1 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
thf(4201,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_setfam_1) ).
thf(4203,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_setfam_1) ).
thf(4205,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_setfam_1) ).
thf(4206,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_setfam_1) ).
thf(4209,axiom,
! [A: $i] :
( ( v2_setfam_1 @ A )
<=> ! [B: $i] :
( ~ ( v1_xboole_0 @ B )
=> ~ ( r2_hidden @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d11_setfam_1) ).
thf(4215,axiom,
! [A: $i] :
( ( v1_setfam_1 @ A )
<=> ~ ( r2_hidden @ k1_xboole_0 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_setfam_1) ).
thf(4221,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t50_setfam_1) ).
thf(4226,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t45_setfam_1) ).
thf(4228,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7_setfam_1) ).
thf(4229,axiom,
! [A: $i,B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ A ) ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ A ) ) )
=> ( ! [D: $i] :
( ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ A ) )
=> ( ( r2_hidden @ D @ B )
<=> ( r2_hidden @ D @ C ) ) )
=> ( B = C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t44_setfam_1) ).
thf(4230,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t43_setfam_1) ).
thf(4231,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_setfam_1) ).
thf(4240,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t33_setfam_1) ).
thf(4241,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t32_setfam_1) ).
thf(4245,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t28_setfam_1) ).
thf(4246,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t27_setfam_1) ).
thf(4247,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t26_setfam_1) ).
thf(4254,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_setfam_1) ).
thf(4255,axiom,
! [A: $i] :
( ( r1_setfam_1 @ A @ k1_xboole_0 )
=> ( A = k1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_setfam_1) ).
thf(4256,axiom,
! [A: $i] : ( r1_setfam_1 @ k1_xboole_0 @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_setfam_1) ).
thf(4260,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_setfam_1) ).
thf(4261,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_setfam_1) ).
thf(4262,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_setfam_1) ).
thf(4263,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_setfam_1) ).
thf(4273,axiom,
! [A: $i] :
( ( r2_hidden @ k1_xboole_0 @ A )
=> ( ( k1_setfam_1 @ A )
= k1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_setfam_1) ).
thf(4276,axiom,
( ( k1_setfam_1 @ k1_xboole_0 )
= k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_setfam_1) ).
thf(4277,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_setfam_1) ).
thf(4278,axiom,
! [A: $i,B: $i] :
( ( ( A != k1_xboole_0 )
=> ( ( B
= ( k1_setfam_1 @ A ) )
<=> ! [C: $i] :
( ( r2_hidden @ C @ B )
<=> ! [D: $i] :
( ( r2_hidden @ D @ A )
=> ( r2_hidden @ C @ D ) ) ) ) )
& ( ( A = k1_xboole_0 )
=> ( ( B
= ( k1_setfam_1 @ A ) )
<=> ( B = k1_xboole_0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_setfam_1) ).
thf(4279,axiom,
! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ? [B: $i] :
( ( m1_subset_1 @ B @ A )
& ~ ( v1_xboole_0 @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_setfam_1) ).
thf(4280,axiom,
! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ~ ( v1_xboole_0 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_setfam_1) ).
thf(4282,axiom,
! [A: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ( v1_setfam_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ A )
=> ~ ( v1_xboole_0 @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_setfam_1) ).
thf(4286,axiom,
? [A: $i] :
( ~ ( v1_xboole_0 @ A )
& ( v1_setfam_1 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_setfam_1) ).
thf(4288,axiom,
! [A: $i] : ( m1_subset_1 @ ( k8_subset_1 @ A ) @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_subset_1) ).
thf(4307,axiom,
! [A: $i,B: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ~ ( v1_xboole_0 @ B ) )
=> ~ ( r2_subset_1 @ A @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',irreflexivity_r2_subset_1) ).
thf(4308,axiom,
! [A: $i,B: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ~ ( v1_xboole_0 @ B ) )
=> ( ( r2_subset_1 @ A @ B )
=> ( r2_subset_1 @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_r2_subset_1) ).
thf(4310,axiom,
! [A: $i,B: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ~ ( v1_xboole_0 @ B ) )
=> ~ ( r1_subset_1 @ A @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',irreflexivity_r1_subset_1) ).
thf(4311,axiom,
! [A: $i,B: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ~ ( v1_xboole_0 @ B ) )
=> ( ( r1_subset_1 @ A @ B )
=> ( r1_subset_1 @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_r1_subset_1) ).
thf(4315,axiom,
! [A: $i] :
? [B: $i] : ( m1_subset_1 @ B @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
thf(4316,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_subset_1) ).
thf(4321,axiom,
! [A: $i] :
( ~ $true
=> ! [B: $i] :
( ( m1_subset_1 @ B @ A )
=> ( B
= ( k8_subset_1 @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d6_subset_1) ).
thf(4336,axiom,
! [A: $i,B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
=> ( ! [C: $i] :
( ( m1_subset_1 @ C @ A )
=> ( r2_hidden @ C @ B ) )
=> ( A = B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t49_subset_1) ).
thf(4340,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t45_subset_1) ).
thf(4348,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_subset_1) ).
thf(4358,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t27_subset_1) ).
thf(4361,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_subset_1) ).
thf(4362,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_subset_1) ).
thf(4365,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_subset_1) ).
thf(4366,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_subset_1) ).
thf(4371,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_subset_1) ).
thf(4372,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_subset_1) ).
thf(4373,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_subset_1) ).
thf(4374,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_subset_1) ).
thf(4376,axiom,
! [A: $i,B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
=> ~ ( ( B != k1_xboole_0 )
& ! [C: $i] :
( ( m1_subset_1 @ C @ A )
=> ~ ( r2_hidden @ C @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_subset_1) ).
thf(4377,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_subset_1) ).
thf(4378,axiom,
! [A: $i,B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ A ) )
=> ( ! [D: $i] :
( ( m1_subset_1 @ D @ A )
=> ( ( r2_hidden @ D @ B )
<=> ( r2_hidden @ D @ C ) ) )
=> ( B = C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_subset_1) ).
thf(4380,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_subset_1) ).
thf(4381,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset_1) ).
thf(4382,axiom,
! [A: $i] : ( m1_subset_1 @ k1_xboole_0 @ ( k1_zfmisc_1 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset_1) ).
thf(4383,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset_1) ).
thf(4384,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset_1) ).
thf(4385,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset_1) ).
thf(4387,axiom,
! [A: $i] :
( ( k1_subset_1 @ A )
= k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_subset_1) ).
thf(4388,axiom,
! [A: $i,B: $i] :
( ( ~ ( v1_xboole_0 @ A )
=> ( ( m1_subset_1 @ B @ A )
<=> ( r2_hidden @ B @ A ) ) )
& ( ( v1_xboole_0 @ A )
=> ( ( m1_subset_1 @ B @ A )
<=> ( v1_xboole_0 @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_subset_1) ).
thf(4389,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_subset_1) ).
thf(4390,axiom,
! [A: $i] :
? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ( v1_xboole_0 @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_subset_1) ).
thf(4391,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ~ ( v1_xboole_0 @ B )
& ~ ( v1_xboole_0 @ C )
& ~ ( v1_xboole_0 @ D ) )
=> ~ ( v1_xboole_0 @ ( k4_zfmisc_1 @ A @ B @ C @ D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_subset_1) ).
thf(4392,axiom,
! [A: $i,B: $i,C: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ~ ( v1_xboole_0 @ B )
& ~ ( v1_xboole_0 @ C ) )
=> ~ ( v1_xboole_0 @ ( k3_zfmisc_1 @ A @ B @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_subset_1) ).
thf(4393,axiom,
! [A: $i,B: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ~ ( v1_xboole_0 @ B ) )
=> ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_subset_1) ).
thf(4394,axiom,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ~ ( v1_xboole_0 @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_subset_1) ).
thf(4395,axiom,
! [A: $i,B: $i] :
~ ( v1_xboole_0 @ ( k2_tarski @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_subset_1) ).
thf(4396,axiom,
! [A: $i] :
~ ( v1_xboole_0 @ ( k1_tarski @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_subset_1) ).
thf(4397,axiom,
! [A: $i] :
~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_subset_1) ).
thf(4398,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_zfmisc_1) ).
thf(4399,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_zfmisc_1) ).
thf(4400,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_zfmisc_1) ).
thf(4401,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_zfmisc_1) ).
thf(4409,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( k2_zfmisc_1 @ A @ B )
= ( k2_zfmisc_1 @ C @ D ) )
=> ( ( A = k1_xboole_0 )
| ( B = k1_xboole_0 )
| ( ( A = C )
& ( B = D ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t134_zfmisc_1) ).
thf(4410,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t133_zfmisc_1) ).
thf(4429,axiom,
! [A: $i,B: $i] :
( ( ( k2_zfmisc_1 @ A @ B )
= ( k2_zfmisc_1 @ B @ A ) )
=> ( ( A = k1_xboole_0 )
| ( B = k1_xboole_0 )
| ( A = B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t114_zfmisc_1) ).
thf(4430,axiom,
! [A: $i,B: $i] :
( ( ( k2_zfmisc_1 @ A @ B )
= k1_xboole_0 )
<=> ( ( A = k1_xboole_0 )
| ( B = k1_xboole_0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t113_zfmisc_1) ).
thf(4431,axiom,
! [A: $i,B: $i] :
( ( ! [C: $i] :
~ ( ( r2_hidden @ C @ A )
& ! [D: $i,E: $i] :
( C
!= ( k4_tarski @ D @ E ) ) )
& ! [C: $i] :
~ ( ( r2_hidden @ C @ B )
& ! [D: $i,E: $i] :
( C
!= ( k4_tarski @ D @ E ) ) )
& ! [C: $i,D: $i] :
( ( r2_hidden @ ( k4_tarski @ C @ D ) @ A )
<=> ( r2_hidden @ ( k4_tarski @ C @ D ) @ B ) ) )
=> ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t112_zfmisc_1) ).
thf(4452,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t91_zfmisc_1) ).
thf(4453,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t90_zfmisc_1) ).
thf(4454,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t89_zfmisc_1) ).
thf(4455,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t88_zfmisc_1) ).
thf(4456,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t87_zfmisc_1) ).
thf(4458,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t85_zfmisc_1) ).
thf(4465,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t78_zfmisc_1) ).
thf(4466,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t77_zfmisc_1) ).
thf(4467,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t76_zfmisc_1) ).
thf(4472,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t71_zfmisc_1) ).
thf(4481,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t62_zfmisc_1) ).
thf(4482,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t61_zfmisc_1) ).
thf(4502,axiom,
! [A: $i,B: $i] :
~ ( ( A
!= ( k1_tarski @ B ) )
& ( A != k1_xboole_0 )
& ! [C: $i] :
~ ( ( r2_hidden @ C @ A )
& ( C != B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t41_zfmisc_1) ).
thf(4528,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_zfmisc_1) ).
thf(4532,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_zfmisc_1) ).
thf(4536,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_zfmisc_1) ).
thf(4538,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_zfmisc_1) ).
thf(4539,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_zfmisc_1) ).
thf(4540,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_zfmisc_1) ).
thf(4541,axiom,
( ( k3_tarski @ k1_xboole_0 )
= k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_zfmisc_1) ).
thf(4547,axiom,
! [A: $i,B: $i] :
~ ( v1_xboole_0 @ ( k4_tarski @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_zfmisc_1) ).
thf(4570,axiom,
! [A: $i] :
( ( k5_xboole_0 @ A @ A )
= k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t92_xboole_1) ).
thf(4596,axiom,
! [A: $i] :
( ~ ( ~ ( r1_xboole_0 @ A @ A )
& ( A = k1_xboole_0 ) )
& ~ ( ( A != k1_xboole_0 )
& ( r1_xboole_0 @ A @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t66_xboole_1) ).
thf(4597,axiom,
! [A: $i] : ( r1_xboole_0 @ A @ k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t65_xboole_1) ).
thf(4600,axiom,
! [A: $i] :
~ ( r2_xboole_0 @ A @ k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t62_xboole_1) ).
thf(4601,axiom,
! [A: $i] :
( ( A != k1_xboole_0 )
=> ( r2_xboole_0 @ k1_xboole_0 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t61_xboole_1) ).
thf(4647,axiom,
! [A: $i,B: $i] :
( ( ( k2_xboole_0 @ A @ B )
= k1_xboole_0 )
=> ( A = k1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_xboole_1) ).
thf(4659,axiom,
! [A: $i] :
( ( r1_tarski @ A @ k1_xboole_0 )
=> ( A = k1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_xboole_1) ).
thf(4660,axiom,
! [A: $i] : ( r1_tarski @ k1_xboole_0 @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_xboole_1) ).
thf(4662,axiom,
! [A: $i,B: $i] :
~ ( ( v1_xboole_0 @ A )
& ( A != B )
& ( v1_xboole_0 @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_boole) ).
thf(4663,axiom,
! [A: $i,B: $i] :
~ ( ( r2_hidden @ A @ B )
& ( v1_xboole_0 @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
thf(4664,axiom,
! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( A = k1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
thf(4665,axiom,
! [A: $i] :
( ( k5_xboole_0 @ A @ k1_xboole_0 )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_boole) ).
thf(4666,axiom,
! [A: $i] :
( ( k4_xboole_0 @ k1_xboole_0 @ A )
= k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_boole) ).
thf(4667,axiom,
! [A: $i] :
( ( k4_xboole_0 @ A @ k1_xboole_0 )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_boole) ).
thf(4668,axiom,
! [A: $i] :
( ( k3_xboole_0 @ A @ k1_xboole_0 )
= k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_boole) ).
thf(4669,axiom,
! [A: $i] :
( ( k2_xboole_0 @ A @ k1_xboole_0 )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_boole) ).
thf(4671,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_xboole_0) ).
thf(4672,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_xboole_0) ).
thf(4675,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_xboole_0) ).
thf(4678,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_xboole_0) ).
thf(4679,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_xboole_0) ).
thf(4685,axiom,
! [A: $i,B: $i] :
( ( ! [C: $i] :
( ( r2_hidden @ C @ A )
<=> ( p1_s3_xboole_0 @ C ) )
& ! [C: $i] :
( ( r2_hidden @ C @ B )
<=> ( p1_s3_xboole_0 @ C ) ) )
=> ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_xboole_0) ).
thf(4690,axiom,
! [A: $i,B: $i] :
( ~ ( ~ ( r1_xboole_0 @ A @ B )
& ! [C: $i] :
~ ( ( r2_hidden @ C @ A )
& ( r2_hidden @ C @ B ) ) )
& ~ ( ? [C: $i] :
( ( r2_hidden @ C @ A )
& ( r2_hidden @ C @ B ) )
& ( r1_xboole_0 @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_xboole_0) ).
thf(4691,axiom,
! [A: $i,B: $i,C: $i] :
( ! [D: $i] :
( ~ ( r2_hidden @ D @ A )
<=> ( ( r2_hidden @ D @ B )
<=> ( r2_hidden @ D @ C ) ) )
=> ( A
= ( k5_xboole_0 @ B @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_xboole_0) ).
thf(4692,axiom,
! [A: $i,B: $i,C: $i] :
( ( r2_hidden @ A @ ( k5_xboole_0 @ B @ C ) )
<=> ~ ( ( r2_hidden @ A @ B )
<=> ( r2_hidden @ A @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_xboole_0) ).
thf(4698,axiom,
! [A: $i] :
( ( v1_xboole_0 @ A )
<=> ( A = k1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_xboole_0) ).
thf(4699,axiom,
! [A: $i,B: $i,C: $i] :
( ( C
= ( k4_xboole_0 @ A @ B ) )
<=> ! [D: $i] :
( ( r2_hidden @ D @ C )
<=> ( ( r2_hidden @ D @ A )
& ~ ( r2_hidden @ D @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_xboole_0) ).
thf(4700,axiom,
! [A: $i,B: $i,C: $i] :
( ( C
= ( k3_xboole_0 @ A @ B ) )
<=> ! [D: $i] :
( ( r2_hidden @ D @ C )
<=> ( ( r2_hidden @ D @ A )
& ( r2_hidden @ D @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_xboole_0) ).
thf(4701,axiom,
! [A: $i,B: $i,C: $i] :
( ( C
= ( k2_xboole_0 @ A @ B ) )
<=> ! [D: $i] :
( ( r2_hidden @ D @ C )
<=> ( ( r2_hidden @ D @ A )
| ( r2_hidden @ D @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_xboole_0) ).
thf(4702,axiom,
! [A: $i] :
( ( A = k1_xboole_0 )
<=> ! [B: $i] :
~ ( r2_hidden @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_xboole_0) ).
thf(4703,axiom,
! [A: $i,B: $i] :
( ~ ( v1_xboole_0 @ A )
=> ~ ( v1_xboole_0 @ ( k2_xboole_0 @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_xboole_0) ).
thf(4704,axiom,
! [A: $i,B: $i] :
( ~ ( v1_xboole_0 @ A )
=> ~ ( v1_xboole_0 @ ( k2_xboole_0 @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_xboole_0) ).
thf(4705,axiom,
? [A: $i] :
~ ( v1_xboole_0 @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_xboole_0) ).
thf(4706,axiom,
? [A: $i] : ( v1_xboole_0 @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_xboole_0) ).
thf(4707,axiom,
v1_xboole_0 @ k1_xboole_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
thf(4708,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_tarski) ).
thf(4709,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_tarski) ).
thf(4711,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_tarski) ).
thf(4712,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_tarski) ).
thf(4717,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_tarski) ).
thf(4719,axiom,
! [A: $i,B: $i] :
~ ( ( r2_hidden @ A @ B )
& ! [C: $i] :
~ ( ( r2_hidden @ C @ B )
& ! [D: $i] :
~ ( ( r2_hidden @ D @ B )
& ( r2_hidden @ D @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_tarski) ).
thf(4720,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_tarski) ).
thf(4721,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_tarski) ).
thf(4722,axiom,
! [A: $i,B: $i] :
( ( B
= ( k3_tarski @ A ) )
<=> ! [C: $i] :
( ( r2_hidden @ C @ B )
<=> ? [D: $i] :
( ( r2_hidden @ C @ D )
& ( r2_hidden @ D @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_tarski) ).
thf(4723,axiom,
! [A: $i,B: $i] :
( ( r1_tarski @ A @ B )
<=> ! [C: $i] :
( ( r2_hidden @ C @ A )
=> ( r2_hidden @ C @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
thf(4724,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_tarski) ).
thf(4725,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_tarski) ).
thf(4726,axiom,
! [A: $i,B: $i,C: $i] :
( ( C
= ( k2_tarski @ A @ B ) )
<=> ! [D: $i] :
( ( r2_hidden @ D @ C )
<=> ( ( D = A )
| ( D = B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_tarski) ).
thf(4727,axiom,
! [A: $i,B: $i] :
( ( B
= ( k1_tarski @ A ) )
<=> ! [C: $i] :
( ( r2_hidden @ C @ B )
<=> ( C = A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tarski) ).
thf(4728,axiom,
! [A: $i,B: $i] :
( ! [C: $i] :
( ( r2_hidden @ C @ A )
<=> ( r2_hidden @ C @ B ) )
=> ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_tarski) ).
thf(4729,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_tarski) ).
thf(4730,axiom,
! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ~ ( r2_hidden @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
thf(4731,conjecture,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ! [B: $i] :
( ( m1_pboole @ B @ A )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ A )
=> ( ~ ( r2_hidden @ C @ ( k1_closure3 @ A @ B ) )
=> ( ( k1_funct_1 @ B @ C )
= k1_xboole_0 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_closure3) ).
thf(4732,negated_conjecture,
( ( ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ! [B: $i] :
( ( m1_pboole @ B @ A )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ A )
=> ( ~ ( r2_hidden @ C @ ( k1_closure3 @ A @ B ) )
=> ( ( k1_funct_1 @ B @ C )
= k1_xboole_0 ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[4731]) ).
thf(4733,plain,
( ( ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ! [B: $i] :
( ( m1_pboole @ B @ A )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ A )
=> ( ~ ( r2_hidden @ C @ ( k1_closure3 @ A @ B ) )
=> ( ( k1_funct_1 @ B @ C )
= k1_xboole_0 ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[4732]) ).
thf(4734,plain,
( ( ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ! [B: $i] :
( ( m1_pboole @ B @ A )
=> ! [C: $i] :
( ( C
= ( k1_closure3 @ A @ B ) )
<=> ( C
= ( a_2_0_closure3 @ A @ B ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(4735,plain,
( ( ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ! [B: $i] :
( ( m1_pboole @ B @ A )
=> ! [C: $i] :
( ( m1_pboole @ C @ A )
=> ( ( k1_funct_4 @ B @ C )
= C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(4736,plain,
$true = $true,
inference(unfold_def,[status(thm)],[22]) ).
thf(4737,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ~ ( v1_xboole_0 @ B )
& ( m1_pboole @ C @ B ) )
=> ( ( r2_hidden @ A @ ( a_2_0_closure3 @ B @ C ) )
<=> ? [D: $i] :
( ( m1_subset_1 @ D @ B )
& ( A = D )
& ( ( k1_funct_1 @ C @ D )
!= k1_xboole_0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(4738,plain,
$true = $true,
inference(unfold_def,[status(thm)],[59]) ).
thf(4739,plain,
$true = $true,
inference(unfold_def,[status(thm)],[95]) ).
thf(4740,plain,
$true = $true,
inference(unfold_def,[status(thm)],[115]) ).
thf(4741,plain,
$true = $true,
inference(unfold_def,[status(thm)],[128]) ).
thf(4742,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( v1_fraenkel @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[168]) ).
thf(4743,plain,
$true = $true,
inference(unfold_def,[status(thm)],[178]) ).
thf(4744,plain,
$true = $true,
inference(unfold_def,[status(thm)],[179]) ).
thf(4745,plain,
$true = $true,
inference(unfold_def,[status(thm)],[187]) ).
thf(4746,plain,
$true = $true,
inference(unfold_def,[status(thm)],[194]) ).
thf(4747,plain,
$true = $true,
inference(unfold_def,[status(thm)],[215]) ).
thf(4748,plain,
$true = $true,
inference(unfold_def,[status(thm)],[218]) ).
thf(4749,plain,
$true = $true,
inference(unfold_def,[status(thm)],[220]) ).
thf(4750,plain,
$true = $true,
inference(unfold_def,[status(thm)],[221]) ).
thf(4751,plain,
$true = $true,
inference(unfold_def,[status(thm)],[222]) ).
thf(4752,plain,
$true = $true,
inference(unfold_def,[status(thm)],[223]) ).
thf(4753,plain,
$true = $true,
inference(unfold_def,[status(thm)],[224]) ).
thf(4754,plain,
$true = $true,
inference(unfold_def,[status(thm)],[226]) ).
thf(4755,plain,
$true = $true,
inference(unfold_def,[status(thm)],[227]) ).
thf(4756,plain,
$true = $true,
inference(unfold_def,[status(thm)],[228]) ).
thf(4757,plain,
$true = $true,
inference(unfold_def,[status(thm)],[247]) ).
thf(4758,plain,
$true = $true,
inference(unfold_def,[status(thm)],[253]) ).
thf(4759,plain,
$true = $true,
inference(unfold_def,[status(thm)],[255]) ).
thf(4760,plain,
$true = $true,
inference(unfold_def,[status(thm)],[256]) ).
thf(4761,plain,
$true = $true,
inference(unfold_def,[status(thm)],[265]) ).
thf(4762,plain,
$true = $true,
inference(unfold_def,[status(thm)],[323]) ).
thf(4763,plain,
$true = $true,
inference(unfold_def,[status(thm)],[325]) ).
thf(4764,plain,
$true = $true,
inference(unfold_def,[status(thm)],[351]) ).
thf(4765,plain,
$true = $true,
inference(unfold_def,[status(thm)],[354]) ).
thf(4766,plain,
$true = $true,
inference(unfold_def,[status(thm)],[372]) ).
thf(4767,plain,
$true = $true,
inference(unfold_def,[status(thm)],[394]) ).
thf(4768,plain,
$true = $true,
inference(unfold_def,[status(thm)],[395]) ).
thf(4769,plain,
$true = $true,
inference(unfold_def,[status(thm)],[396]) ).
thf(4770,plain,
$true = $true,
inference(unfold_def,[status(thm)],[397]) ).
thf(4771,plain,
$true = $true,
inference(unfold_def,[status(thm)],[398]) ).
thf(4772,plain,
$true = $true,
inference(unfold_def,[status(thm)],[406]) ).
thf(4773,plain,
$true = $true,
inference(unfold_def,[status(thm)],[407]) ).
thf(4774,plain,
$true = $true,
inference(unfold_def,[status(thm)],[408]) ).
thf(4775,plain,
$true = $true,
inference(unfold_def,[status(thm)],[409]) ).
thf(4776,plain,
$true = $true,
inference(unfold_def,[status(thm)],[441]) ).
thf(4777,plain,
$true = $true,
inference(unfold_def,[status(thm)],[444]) ).
thf(4778,plain,
$true = $true,
inference(unfold_def,[status(thm)],[548]) ).
thf(4779,plain,
$true = $true,
inference(unfold_def,[status(thm)],[554]) ).
thf(4780,plain,
$true = $true,
inference(unfold_def,[status(thm)],[556]) ).
thf(4781,plain,
$true = $true,
inference(unfold_def,[status(thm)],[557]) ).
thf(4782,plain,
$true = $true,
inference(unfold_def,[status(thm)],[559]) ).
thf(4783,plain,
$true = $true,
inference(unfold_def,[status(thm)],[560]) ).
thf(4784,plain,
$true = $true,
inference(unfold_def,[status(thm)],[563]) ).
thf(4785,plain,
$true = $true,
inference(unfold_def,[status(thm)],[565]) ).
thf(4786,plain,
$true = $true,
inference(unfold_def,[status(thm)],[566]) ).
thf(4787,plain,
$true = $true,
inference(unfold_def,[status(thm)],[567]) ).
thf(4788,plain,
$true = $true,
inference(unfold_def,[status(thm)],[570]) ).
thf(4789,plain,
$true = $true,
inference(unfold_def,[status(thm)],[571]) ).
thf(4790,plain,
$true = $true,
inference(unfold_def,[status(thm)],[580]) ).
thf(4791,plain,
$true = $true,
inference(unfold_def,[status(thm)],[581]) ).
thf(4792,plain,
$true = $true,
inference(unfold_def,[status(thm)],[584]) ).
thf(4793,plain,
$true = $true,
inference(unfold_def,[status(thm)],[585]) ).
thf(4794,plain,
$true = $true,
inference(unfold_def,[status(thm)],[586]) ).
thf(4795,plain,
$true = $true,
inference(unfold_def,[status(thm)],[587]) ).
thf(4796,plain,
$true = $true,
inference(unfold_def,[status(thm)],[588]) ).
thf(4797,plain,
$true = $true,
inference(unfold_def,[status(thm)],[589]) ).
thf(4798,plain,
$true = $true,
inference(unfold_def,[status(thm)],[590]) ).
thf(4799,plain,
$true = $true,
inference(unfold_def,[status(thm)],[591]) ).
thf(4800,plain,
$true = $true,
inference(unfold_def,[status(thm)],[592]) ).
thf(4801,plain,
$true = $true,
inference(unfold_def,[status(thm)],[593]) ).
thf(4802,plain,
$true = $true,
inference(unfold_def,[status(thm)],[594]) ).
thf(4803,plain,
$true = $true,
inference(unfold_def,[status(thm)],[595]) ).
thf(4804,plain,
$true = $true,
inference(unfold_def,[status(thm)],[596]) ).
thf(4805,plain,
$true = $true,
inference(unfold_def,[status(thm)],[607]) ).
thf(4806,plain,
$true = $true,
inference(unfold_def,[status(thm)],[608]) ).
thf(4807,plain,
$true = $true,
inference(unfold_def,[status(thm)],[610]) ).
thf(4808,plain,
$true = $true,
inference(unfold_def,[status(thm)],[611]) ).
thf(4809,plain,
$true = $true,
inference(unfold_def,[status(thm)],[615]) ).
thf(4810,plain,
$true = $true,
inference(unfold_def,[status(thm)],[616]) ).
thf(4811,plain,
$true = $true,
inference(unfold_def,[status(thm)],[617]) ).
thf(4812,plain,
$true = $true,
inference(unfold_def,[status(thm)],[618]) ).
thf(4813,plain,
$true = $true,
inference(unfold_def,[status(thm)],[619]) ).
thf(4814,plain,
$true = $true,
inference(unfold_def,[status(thm)],[620]) ).
thf(4815,plain,
$true = $true,
inference(unfold_def,[status(thm)],[621]) ).
thf(4816,plain,
$true = $true,
inference(unfold_def,[status(thm)],[622]) ).
thf(4817,plain,
$true = $true,
inference(unfold_def,[status(thm)],[623]) ).
thf(4818,plain,
$true = $true,
inference(unfold_def,[status(thm)],[624]) ).
thf(4819,plain,
$true = $true,
inference(unfold_def,[status(thm)],[628]) ).
thf(4820,plain,
$true = $true,
inference(unfold_def,[status(thm)],[629]) ).
thf(4821,plain,
$true = $true,
inference(unfold_def,[status(thm)],[630]) ).
thf(4822,plain,
$true = $true,
inference(unfold_def,[status(thm)],[631]) ).
thf(4823,plain,
$true = $true,
inference(unfold_def,[status(thm)],[632]) ).
thf(4824,plain,
$true = $true,
inference(unfold_def,[status(thm)],[633]) ).
thf(4825,plain,
$true = $true,
inference(unfold_def,[status(thm)],[634]) ).
thf(4826,plain,
$true = $true,
inference(unfold_def,[status(thm)],[635]) ).
thf(4827,plain,
$true = $true,
inference(unfold_def,[status(thm)],[636]) ).
thf(4828,plain,
$true = $true,
inference(unfold_def,[status(thm)],[637]) ).
thf(4829,plain,
$true = $true,
inference(unfold_def,[status(thm)],[638]) ).
thf(4830,plain,
$true = $true,
inference(unfold_def,[status(thm)],[639]) ).
thf(4831,plain,
$true = $true,
inference(unfold_def,[status(thm)],[644]) ).
thf(4832,plain,
$true = $true,
inference(unfold_def,[status(thm)],[645]) ).
thf(4833,plain,
$true = $true,
inference(unfold_def,[status(thm)],[647]) ).
thf(4834,plain,
$true = $true,
inference(unfold_def,[status(thm)],[651]) ).
thf(4835,plain,
$true = $true,
inference(unfold_def,[status(thm)],[653]) ).
thf(4836,plain,
$true = $true,
inference(unfold_def,[status(thm)],[654]) ).
thf(4837,plain,
$true = $true,
inference(unfold_def,[status(thm)],[657]) ).
thf(4838,plain,
$true = $true,
inference(unfold_def,[status(thm)],[658]) ).
thf(4839,plain,
$true = $true,
inference(unfold_def,[status(thm)],[659]) ).
thf(4840,plain,
$true = $true,
inference(unfold_def,[status(thm)],[660]) ).
thf(4841,plain,
$true = $true,
inference(unfold_def,[status(thm)],[661]) ).
thf(4842,plain,
$true = $true,
inference(unfold_def,[status(thm)],[663]) ).
thf(4843,plain,
$true = $true,
inference(unfold_def,[status(thm)],[664]) ).
thf(4844,plain,
$true = $true,
inference(unfold_def,[status(thm)],[665]) ).
thf(4845,plain,
$true = $true,
inference(unfold_def,[status(thm)],[666]) ).
thf(4846,plain,
$true = $true,
inference(unfold_def,[status(thm)],[667]) ).
thf(4847,plain,
$true = $true,
inference(unfold_def,[status(thm)],[716]) ).
thf(4848,plain,
$true = $true,
inference(unfold_def,[status(thm)],[718]) ).
thf(4849,plain,
$true = $true,
inference(unfold_def,[status(thm)],[721]) ).
thf(4850,plain,
$true = $true,
inference(unfold_def,[status(thm)],[722]) ).
thf(4851,plain,
$true = $true,
inference(unfold_def,[status(thm)],[723]) ).
thf(4852,plain,
$true = $true,
inference(unfold_def,[status(thm)],[730]) ).
thf(4853,plain,
$true = $true,
inference(unfold_def,[status(thm)],[732]) ).
thf(4854,plain,
$true = $true,
inference(unfold_def,[status(thm)],[733]) ).
thf(4855,plain,
$true = $true,
inference(unfold_def,[status(thm)],[736]) ).
thf(4856,plain,
$true = $true,
inference(unfold_def,[status(thm)],[739]) ).
thf(4857,plain,
$true = $true,
inference(unfold_def,[status(thm)],[757]) ).
thf(4858,plain,
$true = $true,
inference(unfold_def,[status(thm)],[758]) ).
thf(4859,plain,
$true = $true,
inference(unfold_def,[status(thm)],[774]) ).
thf(4860,plain,
$true = $true,
inference(unfold_def,[status(thm)],[775]) ).
thf(4861,plain,
$true = $true,
inference(unfold_def,[status(thm)],[776]) ).
thf(4862,plain,
$true = $true,
inference(unfold_def,[status(thm)],[777]) ).
thf(4863,plain,
$true = $true,
inference(unfold_def,[status(thm)],[788]) ).
thf(4864,plain,
$true = $true,
inference(unfold_def,[status(thm)],[789]) ).
thf(4865,plain,
$true = $true,
inference(unfold_def,[status(thm)],[806]) ).
thf(4866,plain,
$true = $true,
inference(unfold_def,[status(thm)],[808]) ).
thf(4867,plain,
$true = $true,
inference(unfold_def,[status(thm)],[811]) ).
thf(4868,plain,
$true = $true,
inference(unfold_def,[status(thm)],[812]) ).
thf(4869,plain,
$true = $true,
inference(unfold_def,[status(thm)],[817]) ).
thf(4870,plain,
$true = $true,
inference(unfold_def,[status(thm)],[818]) ).
thf(4871,plain,
$true = $true,
inference(unfold_def,[status(thm)],[819]) ).
thf(4872,plain,
$true = $true,
inference(unfold_def,[status(thm)],[820]) ).
thf(4873,plain,
$true = $true,
inference(unfold_def,[status(thm)],[867]) ).
thf(4874,plain,
$true = $true,
inference(unfold_def,[status(thm)],[890]) ).
thf(4875,plain,
$true = $true,
inference(unfold_def,[status(thm)],[902]) ).
thf(4876,plain,
$true = $true,
inference(unfold_def,[status(thm)],[903]) ).
thf(4877,plain,
$true = $true,
inference(unfold_def,[status(thm)],[924]) ).
thf(4878,plain,
$true = $true,
inference(unfold_def,[status(thm)],[938]) ).
thf(4879,plain,
$true = $true,
inference(unfold_def,[status(thm)],[939]) ).
thf(4880,plain,
$true = $true,
inference(unfold_def,[status(thm)],[941]) ).
thf(4881,plain,
$true = $true,
inference(unfold_def,[status(thm)],[942]) ).
thf(4882,plain,
$true = $true,
inference(unfold_def,[status(thm)],[943]) ).
thf(4883,plain,
$true = $true,
inference(unfold_def,[status(thm)],[944]) ).
thf(4884,plain,
$true = $true,
inference(unfold_def,[status(thm)],[945]) ).
thf(4885,plain,
$true = $true,
inference(unfold_def,[status(thm)],[949]) ).
thf(4886,plain,
$true = $true,
inference(unfold_def,[status(thm)],[950]) ).
thf(4887,plain,
$true = $true,
inference(unfold_def,[status(thm)],[952]) ).
thf(4888,plain,
$true = $true,
inference(unfold_def,[status(thm)],[959]) ).
thf(4889,plain,
$true = $true,
inference(unfold_def,[status(thm)],[964]) ).
thf(4890,plain,
$true = $true,
inference(unfold_def,[status(thm)],[965]) ).
thf(4891,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1011]) ).
thf(4892,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1016]) ).
thf(4893,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1020]) ).
thf(4894,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1021]) ).
thf(4895,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1022]) ).
thf(4896,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1023]) ).
thf(4897,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1025]) ).
thf(4898,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1028]) ).
thf(4899,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1030]) ).
thf(4900,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1034]) ).
thf(4901,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1038]) ).
thf(4902,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1042]) ).
thf(4903,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1043]) ).
thf(4904,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1044]) ).
thf(4905,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1045]) ).
thf(4906,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1046]) ).
thf(4907,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1047]) ).
thf(4908,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1048]) ).
thf(4909,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1049]) ).
thf(4910,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1050]) ).
thf(4911,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1051]) ).
thf(4912,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1052]) ).
thf(4913,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1053]) ).
thf(4914,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1054]) ).
thf(4915,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1055]) ).
thf(4916,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1056]) ).
thf(4917,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1057]) ).
thf(4918,plain,
( ( ! [A: $i,B: $i] :
( ( m1_subset_1 @ B @ A )
=> ! [C: $i,D: $i] :
( ( ( g2_struct_0 @ A @ B )
= ( g2_struct_0 @ C @ D ) )
=> ( ( A = C )
& ( B = D ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1101]) ).
thf(4919,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1106]) ).
thf(4920,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1117]) ).
thf(4921,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1162]) ).
thf(4922,plain,
( ( ! [A: $i,B: $i] :
( ( m1_pboole @ B @ A )
=> ( m1_pboole @ ( k2_mboolean @ A @ B ) @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1226]) ).
thf(4923,plain,
( ( ! [A: $i,B: $i] :
( ( m1_pboole @ B @ A )
=> ( m1_pboole @ ( k1_mboolean @ A @ B ) @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1227]) ).
thf(4924,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1252]) ).
thf(4925,plain,
( ( ! [A: $i,B: $i] : ( m1_pboole @ ( k2_pre_circ @ A @ B ) @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[1279]) ).
thf(4926,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1303]) ).
thf(4927,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1309]) ).
thf(4928,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1328]) ).
thf(4929,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1329]) ).
thf(4930,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1332]) ).
thf(4931,plain,
( ( ( k10_funct_6 @ k1_xboole_0 )
= k1_xboole_0 )
= $true ),
inference(unfold_def,[status(thm)],[1335]) ).
thf(4932,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1341]) ).
thf(4933,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1342]) ).
thf(4934,plain,
( ( ! [A: $i] :
( ( k9_funct_6 @ A @ k1_xboole_0 )
= k1_xboole_0 ) )
= $true ),
inference(unfold_def,[status(thm)],[1347]) ).
thf(4935,plain,
( ( ! [A: $i] :
( ( k8_funct_6 @ k1_xboole_0 @ A )
= k1_xboole_0 ) )
= $true ),
inference(unfold_def,[status(thm)],[1354]) ).
thf(4936,plain,
( ( ( k4_funct_6 @ k1_xboole_0 )
= k1_xboole_0 )
= $true ),
inference(unfold_def,[status(thm)],[1393]) ).
thf(4937,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1439]) ).
thf(4938,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1441]) ).
thf(4939,plain,
( ( ! [A: $i,B: $i] :
( ( m1_subset_1 @ B @ A )
=> ? [C: $i] : ( m3_realset1 @ C @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1442]) ).
thf(4940,plain,
( ( ! [A: $i] :
( ~ ( ~ ( v1_realset1 @ A )
& ! [B: $i,C: $i] :
~ ( ( r2_hidden @ B @ A )
& ( r2_hidden @ C @ A )
& ( B != C ) ) )
& ~ ( ? [B: $i,C: $i] :
( ( r2_hidden @ B @ A )
& ( r2_hidden @ C @ A )
& ( B != C ) )
& ( v1_realset1 @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1449]) ).
thf(4941,plain,
( ( ! [A: $i] :
( ~ ( v1_realset1 @ A )
=> ~ ( v1_xboole_0 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1476]) ).
thf(4942,plain,
( ( ? [A: $i] :
( ~ ( v1_xboole_0 @ A )
& ~ ( v1_realset1 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1477]) ).
thf(4943,plain,
( ( ? [A: $i] :
( ~ ( v1_xboole_0 @ A )
& ( v1_realset1 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1478]) ).
thf(4944,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1520]) ).
thf(4945,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1533]) ).
thf(4946,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1534]) ).
thf(4947,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1543]) ).
thf(4948,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1544]) ).
thf(4949,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1545]) ).
thf(4950,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1552]) ).
thf(4951,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1553]) ).
thf(4952,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1554]) ).
thf(4953,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1555]) ).
thf(4954,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1556]) ).
thf(4955,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1557]) ).
thf(4956,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1558]) ).
thf(4957,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ( m1_pboole @ ( k12_pboole @ A @ B @ C ) @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1562]) ).
thf(4958,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ( m1_pboole @ ( k11_pboole @ A @ B @ C ) @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1563]) ).
thf(4959,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ( ( k5_pboole @ A @ B @ C )
= ( k5_pboole @ A @ C @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1572]) ).
thf(4960,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ( m1_pboole @ ( k5_pboole @ A @ B @ C ) @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1573]) ).
thf(4961,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ( m1_pboole @ ( k4_pboole @ A @ B @ C ) @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1574]) ).
thf(4962,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ( ( k3_pboole @ A @ B @ B )
= B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1575]) ).
thf(4963,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ( ( k3_pboole @ A @ B @ C )
= ( k3_pboole @ A @ C @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1576]) ).
thf(4964,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ( m1_pboole @ ( k3_pboole @ A @ B @ C ) @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1577]) ).
thf(4965,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ( ( k2_pboole @ A @ B @ B )
= B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1578]) ).
thf(4966,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ( ( k2_pboole @ A @ B @ C )
= ( k2_pboole @ A @ C @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1579]) ).
thf(4967,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ( m1_pboole @ ( k2_pboole @ A @ B @ C ) @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1580]) ).
thf(4968,plain,
( ( ! [A: $i] : ( m1_pboole @ ( k1_pboole @ A ) @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[1581]) ).
thf(4969,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ( r7_pboole @ A @ B @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1582]) ).
thf(4970,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ( ( r6_pboole @ A @ B @ C )
<=> ( B = C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1583]) ).
thf(4971,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ( r6_pboole @ A @ B @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1584]) ).
thf(4972,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ( ( r6_pboole @ A @ B @ C )
=> ( r6_pboole @ A @ C @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1585]) ).
thf(4973,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ( ( r5_pboole @ A @ B @ C )
=> ( r5_pboole @ A @ C @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1586]) ).
thf(4974,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ( ( r4_pboole @ A @ B @ C )
=> ( r4_pboole @ A @ C @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1587]) ).
thf(4975,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ( ( r3_pboole @ A @ B @ C )
=> ~ ( r3_pboole @ A @ C @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1589]) ).
thf(4976,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ( r2_pboole @ A @ B @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1590]) ).
thf(4977,plain,
( ( ! [A: $i,B: $i] :
( ( m1_pboole @ B @ A )
=> ? [C: $i] : ( m4_pboole @ C @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1593]) ).
thf(4978,plain,
( ( ! [A: $i,B: $i] :
( ( m1_pboole @ B @ A )
=> ! [C: $i] :
( ( m4_pboole @ C @ A @ B )
=> ( m1_pboole @ C @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1594]) ).
thf(4979,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ? [D: $i] : ( m3_pboole @ D @ A @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1595]) ).
thf(4980,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ! [D: $i] :
( ( m3_pboole @ D @ A @ B @ C )
=> ( m1_pboole @ D @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1596]) ).
thf(4981,plain,
( ( ! [A: $i,B: $i] :
( ( m1_pboole @ B @ A )
=> ? [C: $i] : ( m2_pboole @ C @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1597]) ).
thf(4982,plain,
( ( ! [A: $i,B: $i] :
( ( m1_pboole @ B @ A )
=> ! [C: $i] :
( ( m2_pboole @ C @ A @ B )
=> ( m1_pboole @ C @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1598]) ).
thf(4983,plain,
( ( ! [A: $i] :
? [B: $i] : ( m1_pboole @ B @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[1599]) ).
thf(4984,plain,
( ( ! [A: $i,B: $i] :
( ( m1_pboole @ B @ A )
=> ! [C: $i] :
( ( m1_pboole @ C @ A )
=> ( ( m2_pboole @ C @ A @ B )
<=> ! [D: $i] :
( ( r2_hidden @ D @ A )
=> ( m1_subset_1 @ ( k1_funct_1 @ C @ D ) @ ( k1_funct_1 @ B @ D ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1616]) ).
thf(4985,plain,
( ( ! [A: $i,B: $i] :
( ( m1_pboole @ B @ A )
=> ! [C: $i] :
( ( r2_hidden @ C @ A )
=> ( m1_subset_1 @ ( k1_funct_1 @ B @ C ) @ ( k2_relat_1 @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1617]) ).
thf(4986,plain,
( ( ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ! [B: $i] :
( ( m1_pboole @ B @ A )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( k2_relat_1 @ B ) )
=> ? [D: $i] :
( ( r2_hidden @ D @ A )
& ( C
= ( k1_funct_1 @ B @ D ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1618]) ).
thf(4987,plain,
( ( ! [A: $i,B: $i] :
( ( m1_pboole @ B @ A )
=> ( ( v2_relat_1 @ B )
<=> ! [C: $i] :
~ ( ( r2_hidden @ C @ A )
& ( v1_xboole_0 @ ( k1_funct_1 @ B @ C ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1628]) ).
thf(4988,plain,
( ( ! [A: $i,B: $i] :
( ( m1_pboole @ B @ A )
=> ( ( v3_relat_1 @ B )
<=> ! [C: $i] :
( ( r2_hidden @ C @ A )
=> ( v1_xboole_0 @ ( k1_funct_1 @ B @ C ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1629]) ).
thf(4989,plain,
( ( ! [A: $i] :
( ( m1_pboole @ A @ k1_xboole_0 )
=> ( A = k1_xboole_0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1636]) ).
thf(4990,plain,
( ( ! [A: $i,B: $i] :
( ( m1_pboole @ B @ A )
=> ! [C: $i] :
( ( m1_pboole @ C @ A )
=> ! [D: $i] :
( ( m1_pboole @ D @ A )
=> ( ( ( r7_pboole @ A @ B @ C )
& ( r7_pboole @ A @ C @ D ) )
=> ( r7_pboole @ A @ B @ D ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1638]) ).
thf(4991,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1639]) ).
thf(4992,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1646]) ).
thf(4993,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1654]) ).
thf(4994,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1664]) ).
thf(4995,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1678]) ).
thf(4996,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1681]) ).
thf(4997,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1738]) ).
thf(4998,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1739]) ).
thf(4999,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1740]) ).
thf(5000,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1741]) ).
thf(5001,plain,
( ( ! [A: $i,B: $i] :
( ( m1_pboole @ B @ A )
=> ! [C: $i] :
( ( m1_pboole @ C @ A )
=> ! [D: $i] :
( ( m1_pboole @ D @ A )
=> ( ( ( r2_pboole @ A @ B @ C )
& ( r2_pboole @ A @ C @ D ) )
=> ( r2_pboole @ A @ B @ D ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1756]) ).
thf(5002,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1757]) ).
thf(5003,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1758]) ).
thf(5004,plain,
( ( ! [A: $i,B: $i] :
( ( m1_pboole @ B @ A )
=> ( ! [C: $i] :
( ( r2_hidden @ C @ A )
=> ( ( k1_funct_1 @ B @ C )
= k1_xboole_0 ) )
=> ( B
= ( k1_pboole @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1766]) ).
thf(5005,plain,
( ( ! [A: $i,B: $i] :
( ( k1_funct_1 @ ( k1_pboole @ B ) @ A )
= k1_xboole_0 ) )
= $true ),
inference(unfold_def,[status(thm)],[1767]) ).
thf(5006,plain,
( ( ! [A: $i,B: $i] :
( ( m1_pboole @ B @ A )
=> ! [C: $i] :
( ( m1_pboole @ C @ A )
=> ( ! [D: $i] :
( ( r2_hidden @ D @ A )
=> ( ( k1_funct_1 @ B @ D )
= ( k1_funct_1 @ C @ D ) ) )
=> ( B = C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1776]) ).
thf(5007,plain,
( ( ! [A: $i,B: $i] :
( ( m1_pboole @ B @ A )
=> ! [C: $i] :
( ( m1_pboole @ C @ A )
=> ( ( r1_pboole @ A @ B @ C )
<=> ! [D: $i] :
( ( r2_hidden @ D @ A )
=> ( r2_hidden @ ( k1_funct_1 @ B @ D ) @ ( k1_funct_1 @ C @ D ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1778]) ).
thf(5008,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1780]) ).
thf(5009,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1781]) ).
thf(5010,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ( v2_relat_1 @ B )
& ( m1_pboole @ B @ A )
& ( m1_subset_1 @ C @ A ) )
=> ~ ( v1_xboole_0 @ ( k1_funct_1 @ B @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1786]) ).
thf(5011,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1797]) ).
thf(5012,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1798]) ).
thf(5013,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1799]) ).
thf(5014,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1826]) ).
thf(5015,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1827]) ).
thf(5016,plain,
( ( ! [A: $i] :
( ( k5_card_3 @ A @ k1_xboole_0 )
= k1_xboole_0 ) )
= $true ),
inference(unfold_def,[status(thm)],[1846]) ).
thf(5017,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1847]) ).
thf(5018,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1849]) ).
thf(5019,plain,
( ( ( k3_card_3 @ k1_xboole_0 )
= k1_xboole_0 )
= $true ),
inference(unfold_def,[status(thm)],[1857]) ).
thf(5020,plain,
( ( ( k2_card_3 @ k1_xboole_0 )
= k1_xboole_0 )
= $true ),
inference(unfold_def,[status(thm)],[1860]) ).
thf(5021,plain,
( ( ( k1_card_3 @ k1_xboole_0 )
= k1_xboole_0 )
= $true ),
inference(unfold_def,[status(thm)],[1862]) ).
thf(5022,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1864]) ).
thf(5023,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1865]) ).
thf(5024,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1866]) ).
thf(5025,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1867]) ).
thf(5026,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1873]) ).
thf(5027,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1874]) ).
thf(5028,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1903]) ).
thf(5029,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1942]) ).
thf(5030,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1944]) ).
thf(5031,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1947]) ).
thf(5032,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1984]) ).
thf(5033,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1999]) ).
thf(5034,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2024]) ).
thf(5035,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2036]) ).
thf(5036,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2041]) ).
thf(5037,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2046]) ).
thf(5038,plain,
( ( ! [A: $i] :
? [B: $i] :
( ( m1_finseq_2 @ B @ A )
& ~ ( v1_xboole_0 @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2054]) ).
thf(5039,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2061]) ).
thf(5040,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2064]) ).
thf(5041,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2065]) ).
thf(5042,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2072]) ).
thf(5043,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2079]) ).
thf(5044,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2109]) ).
thf(5045,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2113]) ).
thf(5046,plain,
( ( ! [A: $i] : ( r2_hidden @ k1_xboole_0 @ ( k13_finseq_1 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2115]) ).
thf(5047,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2128]) ).
thf(5048,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2129]) ).
thf(5049,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2131]) ).
thf(5050,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2135]) ).
thf(5051,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2151]) ).
thf(5052,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2155]) ).
thf(5053,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2156]) ).
thf(5054,plain,
( ( ! [A: $i] :
( ( k6_finseq_1 @ A )
= k1_xboole_0 ) )
= $true ),
inference(unfold_def,[status(thm)],[2157]) ).
thf(5055,plain,
( ( ! [A: $i] : ( m2_finseq_1 @ k1_xboole_0 @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[2159]) ).
thf(5056,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2160]) ).
thf(5057,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2166]) ).
thf(5058,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2176]) ).
thf(5059,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2189]) ).
thf(5060,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2190]) ).
thf(5061,plain,
( ( ! [A: $i] :
~ ( v1_xboole_0 @ ( k13_finseq_1 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2204]) ).
thf(5062,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2220]) ).
thf(5063,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2234]) ).
thf(5064,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2236]) ).
thf(5065,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2237]) ).
thf(5066,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2239]) ).
thf(5067,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2244]) ).
thf(5068,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2247]) ).
thf(5069,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2251]) ).
thf(5070,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2252]) ).
thf(5071,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2257]) ).
thf(5072,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2259]) ).
thf(5073,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2260]) ).
thf(5074,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2261]) ).
thf(5075,plain,
( ( np__0 = k1_xboole_0 )
= $true ),
inference(unfold_def,[status(thm)],[2263]) ).
thf(5076,plain,
( ( ( k1_card_1 @ k1_xboole_0 )
= k1_xboole_0 )
= $true ),
inference(unfold_def,[status(thm)],[2267]) ).
thf(5077,plain,
( ( ! [A: $i] :
( ( r2_wellord2 @ A @ k1_xboole_0 )
<=> ( A = k1_xboole_0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2268]) ).
thf(5078,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2277]) ).
thf(5079,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2285]) ).
thf(5080,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2297]) ).
thf(5081,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2298]) ).
thf(5082,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2299]) ).
thf(5083,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2300]) ).
thf(5084,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2301]) ).
thf(5085,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2302]) ).
thf(5086,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2304]) ).
thf(5087,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2305]) ).
thf(5088,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2306]) ).
thf(5089,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2309]) ).
thf(5090,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2310]) ).
thf(5091,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2311]) ).
thf(5092,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2312]) ).
thf(5093,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2314]) ).
thf(5094,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2315]) ).
thf(5095,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2316]) ).
thf(5096,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2318]) ).
thf(5097,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2319]) ).
thf(5098,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2320]) ).
thf(5099,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2455]) ).
thf(5100,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2474]) ).
thf(5101,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2483]) ).
thf(5102,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2495]) ).
thf(5103,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2498]) ).
thf(5104,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2503]) ).
thf(5105,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2506]) ).
thf(5106,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2522]) ).
thf(5107,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2523]) ).
thf(5108,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2524]) ).
thf(5109,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2525]) ).
thf(5110,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2526]) ).
thf(5111,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2527]) ).
thf(5112,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2528]) ).
thf(5113,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2529]) ).
thf(5114,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2539]) ).
thf(5115,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2540]) ).
thf(5116,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2541]) ).
thf(5117,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2542]) ).
thf(5118,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2543]) ).
thf(5119,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2544]) ).
thf(5120,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2545]) ).
thf(5121,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2548]) ).
thf(5122,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2549]) ).
thf(5123,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2550]) ).
thf(5124,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2551]) ).
thf(5125,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2552]) ).
thf(5126,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2553]) ).
thf(5127,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2624]) ).
thf(5128,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2625]) ).
thf(5129,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2626]) ).
thf(5130,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2627]) ).
thf(5131,plain,
( ( ~ ( v1_xboole_0 @ k4_numbers ) )
= $true ),
inference(unfold_def,[status(thm)],[2661]) ).
thf(5132,plain,
( ( ~ ( v1_xboole_0 @ k3_numbers ) )
= $true ),
inference(unfold_def,[status(thm)],[2662]) ).
thf(5133,plain,
( ( ~ ( v1_xboole_0 @ k2_numbers ) )
= $true ),
inference(unfold_def,[status(thm)],[2663]) ).
thf(5134,plain,
( ( ~ ( v1_xboole_0 @ k1_numbers ) )
= $true ),
inference(unfold_def,[status(thm)],[2664]) ).
thf(5135,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2744]) ).
thf(5136,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2745]) ).
thf(5137,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2748]) ).
thf(5138,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2751]) ).
thf(5139,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2755]) ).
thf(5140,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2757]) ).
thf(5141,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2758]) ).
thf(5142,plain,
( ( ? [A: $i] :
( ~ ( v1_xboole_0 @ A )
& ( v1_fraenkel @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2762]) ).
thf(5143,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2784]) ).
thf(5144,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2785]) ).
thf(5145,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2786]) ).
thf(5146,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2787]) ).
thf(5147,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2788]) ).
thf(5148,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2789]) ).
thf(5149,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2790]) ).
thf(5150,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2791]) ).
thf(5151,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2792]) ).
thf(5152,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2793]) ).
thf(5153,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2794]) ).
thf(5154,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2795]) ).
thf(5155,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( v1_finset_1 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2818]) ).
thf(5156,plain,
( ( ? [A: $i] :
( ~ ( v1_xboole_0 @ A )
& ( v1_finset_1 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2819]) ).
thf(5157,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2831]) ).
thf(5158,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2833]) ).
thf(5159,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2834]) ).
thf(5160,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2835]) ).
thf(5161,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2853]) ).
thf(5162,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2875]) ).
thf(5163,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2876]) ).
thf(5164,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2877]) ).
thf(5165,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2878]) ).
thf(5166,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2879]) ).
thf(5167,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2880]) ).
thf(5168,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2881]) ).
thf(5169,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2882]) ).
thf(5170,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2897]) ).
thf(5171,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2910]) ).
thf(5172,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2911]) ).
thf(5173,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2913]) ).
thf(5174,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2923]) ).
thf(5175,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2927]) ).
thf(5176,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2931]) ).
thf(5177,plain,
( ( v4_ordinal1 @ k1_xboole_0 )
= $true ),
inference(unfold_def,[status(thm)],[2934]) ).
thf(5178,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2947]) ).
thf(5179,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ( A != B )
=> ( ( ( k1_funct_1 @ ( k4_funct_4 @ A @ B @ C @ D ) @ A )
= C )
& ( ( k1_funct_1 @ ( k4_funct_4 @ A @ B @ C @ D ) @ B )
= D ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2969]) ).
thf(5180,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3036]) ).
thf(5181,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3051]) ).
thf(5182,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3052]) ).
thf(5183,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3053]) ).
thf(5184,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3054]) ).
thf(5185,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3074]) ).
thf(5186,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3080]) ).
thf(5187,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3092]) ).
thf(5188,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3102]) ).
thf(5189,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3110]) ).
thf(5190,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( r2_hidden @ B @ A )
=> ( ( k1_funct_1 @ ( k2_funcop_1 @ A @ C ) @ B )
= C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3132]) ).
thf(5191,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3133]) ).
thf(5192,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3138]) ).
thf(5193,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3141]) ).
thf(5194,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3172]) ).
thf(5195,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3194]) ).
thf(5196,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3200]) ).
thf(5197,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3204]) ).
thf(5198,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3207]) ).
thf(5199,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3210]) ).
thf(5200,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3213]) ).
thf(5201,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3217]) ).
thf(5202,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3218]) ).
thf(5203,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3219]) ).
thf(5204,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3220]) ).
thf(5205,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3222]) ).
thf(5206,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3228]) ).
thf(5207,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3229]) ).
thf(5208,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3230]) ).
thf(5209,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3231]) ).
thf(5210,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3232]) ).
thf(5211,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3233]) ).
thf(5212,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3234]) ).
thf(5213,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3235]) ).
thf(5214,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3240]) ).
thf(5215,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3243]) ).
thf(5216,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3245]) ).
thf(5217,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3246]) ).
thf(5218,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3247]) ).
thf(5219,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3248]) ).
thf(5220,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3249]) ).
thf(5221,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3250]) ).
thf(5222,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3251]) ).
thf(5223,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3252]) ).
thf(5224,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3253]) ).
thf(5225,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3254]) ).
thf(5226,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3255]) ).
thf(5227,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3256]) ).
thf(5228,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3257]) ).
thf(5229,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3258]) ).
thf(5230,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3259]) ).
thf(5231,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3260]) ).
thf(5232,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3261]) ).
thf(5233,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3262]) ).
thf(5234,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3263]) ).
thf(5235,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3264]) ).
thf(5236,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3266]) ).
thf(5237,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3267]) ).
thf(5238,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3268]) ).
thf(5239,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3273]) ).
thf(5240,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3278]) ).
thf(5241,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3279]) ).
thf(5242,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3281]) ).
thf(5243,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3287]) ).
thf(5244,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3288]) ).
thf(5245,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3290]) ).
thf(5246,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3291]) ).
thf(5247,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3296]) ).
thf(5248,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3301]) ).
thf(5249,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3302]) ).
thf(5250,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3303]) ).
thf(5251,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3305]) ).
thf(5252,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3307]) ).
thf(5253,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3317]) ).
thf(5254,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3320]) ).
thf(5255,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3326]) ).
thf(5256,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3344]) ).
thf(5257,plain,
( ( ! [A: $i] :
( ( A != k1_xboole_0 )
=> ( ( k1_funct_2 @ A @ k1_xboole_0 )
= k1_xboole_0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3345]) ).
thf(5258,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3346]) ).
thf(5259,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3349]) ).
thf(5260,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3358]) ).
thf(5261,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3359]) ).
thf(5262,plain,
( ( ! [A: $i] :
~ ( v1_xboole_0 @ ( k1_funct_2 @ A @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3367]) ).
thf(5263,plain,
( ( ! [A: $i,B: $i] :
( ~ ( v1_xboole_0 @ B )
=> ~ ( v1_xboole_0 @ ( k1_funct_2 @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3368]) ).
thf(5264,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3373]) ).
thf(5265,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3374]) ).
thf(5266,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3389]) ).
thf(5267,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3390]) ).
thf(5268,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3391]) ).
thf(5269,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3392]) ).
thf(5270,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3393]) ).
thf(5271,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3394]) ).
thf(5272,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3395]) ).
thf(5273,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3396]) ).
thf(5274,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3400]) ).
thf(5275,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3403]) ).
thf(5276,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3406]) ).
thf(5277,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3407]) ).
thf(5278,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3408]) ).
thf(5279,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3409]) ).
thf(5280,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3410]) ).
thf(5281,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3413]) ).
thf(5282,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3414]) ).
thf(5283,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3415]) ).
thf(5284,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3417]) ).
thf(5285,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3418]) ).
thf(5286,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3419]) ).
thf(5287,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3420]) ).
thf(5288,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3421]) ).
thf(5289,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3422]) ).
thf(5290,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3423]) ).
thf(5291,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3424]) ).
thf(5292,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3425]) ).
thf(5293,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3437]) ).
thf(5294,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3440]) ).
thf(5295,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3441]) ).
thf(5296,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3445]) ).
thf(5297,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3451]) ).
thf(5298,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3457]) ).
thf(5299,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3465]) ).
thf(5300,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3466]) ).
thf(5301,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3467]) ).
thf(5302,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3468]) ).
thf(5303,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3469]) ).
thf(5304,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3470]) ).
thf(5305,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3471]) ).
thf(5306,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3472]) ).
thf(5307,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3473]) ).
thf(5308,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3474]) ).
thf(5309,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3475]) ).
thf(5310,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3476]) ).
thf(5311,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3478]) ).
thf(5312,plain,
( ( ! [A: $i,B: $i] :
( ( k3_partfun1 @ k1_xboole_0 @ A @ B )
= k1_xboole_0 ) )
= $true ),
inference(unfold_def,[status(thm)],[3486]) ).
thf(5313,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3487]) ).
thf(5314,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3488]) ).
thf(5315,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3489]) ).
thf(5316,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3502]) ).
thf(5317,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3504]) ).
thf(5318,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3505]) ).
thf(5319,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3528]) ).
thf(5320,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3530]) ).
thf(5321,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3532]) ).
thf(5322,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3538]) ).
thf(5323,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3539]) ).
thf(5324,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3540]) ).
thf(5325,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3557]) ).
thf(5326,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3558]) ).
thf(5327,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3559]) ).
thf(5328,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3560]) ).
thf(5329,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3561]) ).
thf(5330,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3562]) ).
thf(5331,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3563]) ).
thf(5332,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3564]) ).
thf(5333,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3565]) ).
thf(5334,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3566]) ).
thf(5335,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3567]) ).
thf(5336,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3568]) ).
thf(5337,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3569]) ).
thf(5338,plain,
( ( ( k2_relat_1 @ k1_xboole_0 )
= k1_xboole_0 )
= $true ),
inference(unfold_def,[status(thm)],[3570]) ).
thf(5339,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3571]) ).
thf(5340,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3572]) ).
thf(5341,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3573]) ).
thf(5342,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3574]) ).
thf(5343,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3575]) ).
thf(5344,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3576]) ).
thf(5345,plain,
( ( ! [A: $i,B: $i] :
~ ( v1_xboole_0 @ ( k4_partfun1 @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3583]) ).
thf(5346,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3617]) ).
thf(5347,plain,
( ( ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ( ( k6_relat_1 @ A )
!= k1_xboole_0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3627]) ).
thf(5348,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3629]) ).
thf(5349,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3630]) ).
thf(5350,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3631]) ).
thf(5351,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3632]) ).
thf(5352,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3633]) ).
thf(5353,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3636]) ).
thf(5354,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( m2_relset_1 @ C @ B @ A )
=> ( ( m2_relset_1 @ C @ B @ k1_xboole_0 )
=> ( C = k1_xboole_0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3646]) ).
thf(5355,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( m2_relset_1 @ C @ A @ B )
=> ( ( m2_relset_1 @ C @ k1_xboole_0 @ B )
=> ( C = k1_xboole_0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3647]) ).
thf(5356,plain,
( ( ! [A: $i,B: $i] : ( m2_relset_1 @ k1_xboole_0 @ A @ B ) )
= $true ),
inference(unfold_def,[status(thm)],[3648]) ).
thf(5357,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3652]) ).
thf(5358,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3653]) ).
thf(5359,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3655]) ).
thf(5360,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3666]) ).
thf(5361,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3668]) ).
thf(5362,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3670]) ).
thf(5363,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3671]) ).
thf(5364,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3672]) ).
thf(5365,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3677]) ).
thf(5366,plain,
( ( ! [A: $i] : ( m1_ordinal1 @ k1_xboole_0 @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[3694]) ).
thf(5367,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3695]) ).
thf(5368,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3696]) ).
thf(5369,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3701]) ).
thf(5370,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3703]) ).
thf(5371,plain,
( ( ! [A: $i] :
~ ! [B: $i] :
( ( v3_ordinal1 @ B )
=> ( r2_hidden @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3705]) ).
thf(5372,plain,
( ( ! [A: $i] :
~ ! [B: $i] :
( ( r2_hidden @ B @ A )
<=> ( v3_ordinal1 @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3706]) ).
thf(5373,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3715]) ).
thf(5374,plain,
( ( v3_ordinal1 @ k1_xboole_0 )
= $true ),
inference(unfold_def,[status(thm)],[3716]) ).
thf(5375,plain,
( ( ! [A: $i] :
( ( v3_ordinal1 @ A )
=> ! [B: $i] :
( ( v3_ordinal1 @ B )
=> ~ ( ~ ( r2_hidden @ A @ B )
& ( A != B )
& ~ ( r2_hidden @ B @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3719]) ).
thf(5376,plain,
( ( ! [A: $i,B: $i] :
( ( v3_ordinal1 @ B )
=> ( ( r2_hidden @ A @ B )
=> ( v3_ordinal1 @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3720]) ).
thf(5377,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3723]) ).
thf(5378,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3725]) ).
thf(5379,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3726]) ).
thf(5380,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3727]) ).
thf(5381,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3728]) ).
thf(5382,plain,
( ( ! [A: $i] :
( ( v2_ordinal1 @ A )
<=> ! [B: $i,C: $i] :
~ ( ( r2_hidden @ B @ A )
& ( r2_hidden @ C @ A )
& ~ ( r2_hidden @ B @ C )
& ( B != C )
& ~ ( r2_hidden @ C @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3730]) ).
thf(5383,plain,
( ( ! [A: $i,B: $i] :
( ( r2_hidden @ A @ ( k1_ordinal1 @ B ) )
<=> ( ( r2_hidden @ A @ B )
| ( A = B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3733]) ).
thf(5384,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3735]) ).
thf(5385,plain,
( ( ! [A: $i] : ( r2_hidden @ A @ ( k1_ordinal1 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3736]) ).
thf(5386,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3737]) ).
thf(5387,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3738]) ).
thf(5388,plain,
( ( ! [A: $i,B: $i] :
~ ( ( r2_hidden @ A @ B )
& ( r1_tarski @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3740]) ).
thf(5389,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
~ ( ( r2_hidden @ A @ B )
& ( r2_hidden @ B @ C )
& ( r2_hidden @ C @ D )
& ( r2_hidden @ D @ E )
& ( r2_hidden @ E @ F )
& ( r2_hidden @ F @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3741]) ).
thf(5390,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
~ ( ( r2_hidden @ A @ B )
& ( r2_hidden @ B @ C )
& ( r2_hidden @ C @ D )
& ( r2_hidden @ D @ E )
& ( r2_hidden @ E @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3742]) ).
thf(5391,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
~ ( ( r2_hidden @ A @ B )
& ( r2_hidden @ B @ C )
& ( r2_hidden @ C @ D )
& ( r2_hidden @ D @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3743]) ).
thf(5392,plain,
( ( ! [A: $i,B: $i,C: $i] :
~ ( ( r2_hidden @ A @ B )
& ( r2_hidden @ B @ C )
& ( r2_hidden @ C @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3744]) ).
thf(5393,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3745]) ).
thf(5394,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3746]) ).
thf(5395,plain,
( ( ! [A: $i] :
~ ( v1_xboole_0 @ ( k1_ordinal1 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3758]) ).
thf(5396,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3760]) ).
thf(5397,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3788]) ).
thf(5398,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3789]) ).
thf(5399,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3793]) ).
thf(5400,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3794]) ).
thf(5401,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3795]) ).
thf(5402,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3796]) ).
thf(5403,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3797]) ).
thf(5404,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3798]) ).
thf(5405,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3799]) ).
thf(5406,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3800]) ).
thf(5407,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3801]) ).
thf(5408,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3802]) ).
thf(5409,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3811]) ).
thf(5410,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3814]) ).
thf(5411,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3815]) ).
thf(5412,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3816]) ).
thf(5413,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3817]) ).
thf(5414,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3818]) ).
thf(5415,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3819]) ).
thf(5416,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3820]) ).
thf(5417,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3821]) ).
thf(5418,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3822]) ).
thf(5419,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3823]) ).
thf(5420,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3824]) ).
thf(5421,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3825]) ).
thf(5422,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3826]) ).
thf(5423,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3827]) ).
thf(5424,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3828]) ).
thf(5425,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3829]) ).
thf(5426,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3830]) ).
thf(5427,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3832]) ).
thf(5428,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3833]) ).
thf(5429,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3835]) ).
thf(5430,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3837]) ).
thf(5431,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3838]) ).
thf(5432,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3839]) ).
thf(5433,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3840]) ).
thf(5434,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3841]) ).
thf(5435,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3842]) ).
thf(5436,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3843]) ).
thf(5437,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3845]) ).
thf(5438,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3850]) ).
thf(5439,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3852]) ).
thf(5440,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3853]) ).
thf(5441,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3854]) ).
thf(5442,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3855]) ).
thf(5443,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3856]) ).
thf(5444,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3858]) ).
thf(5445,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3859]) ).
thf(5446,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3864]) ).
thf(5447,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3889]) ).
thf(5448,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3891]) ).
thf(5449,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3892]) ).
thf(5450,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3896]) ).
thf(5451,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3898]) ).
thf(5452,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3901]) ).
thf(5453,plain,
( ( ! [A: $i,B: $i] :
( ( r2_hidden @ B @ A )
=> ( ( k1_funct_1 @ ( k6_relat_1 @ A ) @ B )
= B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3902]) ).
thf(5454,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3905]) ).
thf(5455,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3906]) ).
thf(5456,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3907]) ).
thf(5457,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3908]) ).
thf(5458,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3909]) ).
thf(5459,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3911]) ).
thf(5460,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3913]) ).
thf(5461,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3924]) ).
thf(5462,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3926]) ).
thf(5463,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3927]) ).
thf(5464,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3931]) ).
thf(5465,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3932]) ).
thf(5466,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3933]) ).
thf(5467,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3934]) ).
thf(5468,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3935]) ).
thf(5469,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3937]) ).
thf(5470,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3938]) ).
thf(5471,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3940]) ).
thf(5472,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( v1_funct_1 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3953]) ).
thf(5473,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3955]) ).
thf(5474,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3956]) ).
thf(5475,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3963]) ).
thf(5476,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3964]) ).
thf(5477,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3965]) ).
thf(5478,plain,
( ( ! [A: $i] :
( ( k10_relat_1 @ k1_xboole_0 @ A )
= k1_xboole_0 ) )
= $true ),
inference(unfold_def,[status(thm)],[3986]) ).
thf(5479,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3993]) ).
thf(5480,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3994]) ).
thf(5481,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3997]) ).
thf(5482,plain,
( ( ! [A: $i] :
( ( k9_relat_1 @ k1_xboole_0 @ A )
= k1_xboole_0 ) )
= $true ),
inference(unfold_def,[status(thm)],[4009]) ).
thf(5483,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4017]) ).
thf(5484,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4018]) ).
thf(5485,plain,
( ( ! [A: $i] :
( ( k8_relat_1 @ A @ k1_xboole_0 )
= k1_xboole_0 ) )
= $true ),
inference(unfold_def,[status(thm)],[4022]) ).
thf(5486,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4046]) ).
thf(5487,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4047]) ).
thf(5488,plain,
( ( ! [A: $i] :
( ( k7_relat_1 @ k1_xboole_0 @ A )
= k1_xboole_0 ) )
= $true ),
inference(unfold_def,[status(thm)],[4050]) ).
thf(5489,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4076]) ).
thf(5490,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4077]) ).
thf(5491,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4078]) ).
thf(5492,plain,
( ( ( k6_relat_1 @ k1_xboole_0 )
= k1_xboole_0 )
= $true ),
inference(unfold_def,[status(thm)],[4081]) ).
thf(5493,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4092]) ).
thf(5494,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4093]) ).
thf(5495,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4094]) ).
thf(5496,plain,
( ( ( k4_relat_1 @ k1_xboole_0 )
= k1_xboole_0 )
= $true ),
inference(unfold_def,[status(thm)],[4098]) ).
thf(5497,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4101]) ).
thf(5498,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4103]) ).
thf(5499,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4105]) ).
thf(5500,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4106]) ).
thf(5501,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4107]) ).
thf(5502,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4121]) ).
thf(5503,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4122]) ).
thf(5504,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4129]) ).
thf(5505,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4130]) ).
thf(5506,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4150]) ).
thf(5507,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4151]) ).
thf(5508,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4156]) ).
thf(5509,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4157]) ).
thf(5510,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4161]) ).
thf(5511,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4162]) ).
thf(5512,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4169]) ).
thf(5513,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4170]) ).
thf(5514,plain,
( ( ? [A: $i] :
( ~ ( v1_xboole_0 @ A )
& ( v1_relat_1 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4182]) ).
thf(5515,plain,
( ( ( v1_xboole_0 @ k1_xboole_0 )
& ( v1_relat_1 @ k1_xboole_0 ) )
= $true ),
inference(unfold_def,[status(thm)],[4183]) ).
thf(5516,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( v1_relat_1 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4184]) ).
thf(5517,plain,
( ( ? [A: $i] :
( ( v1_xboole_0 @ A )
& ( v1_relat_1 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4188]) ).
thf(5518,plain,
( ( ! [A: $i,B: $i,C: $i] :
~ ( ( r2_hidden @ A @ B )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ C ) )
& ( v1_xboole_0 @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4189]) ).
thf(5519,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( r2_hidden @ A @ B )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ C ) ) )
=> ( m1_subset_1 @ A @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4190]) ).
thf(5520,plain,
( ( ! [A: $i,B: $i] :
( ( m1_subset_1 @ A @ B )
=> ( ( v1_xboole_0 @ B )
| ( r2_hidden @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4192]) ).
thf(5521,plain,
( ( ! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ( m1_subset_1 @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4193]) ).
thf(5522,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4201]) ).
thf(5523,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4203]) ).
thf(5524,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4205]) ).
thf(5525,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4206]) ).
thf(5526,plain,
( ( ! [A: $i] :
( ( v2_setfam_1 @ A )
<=> ! [B: $i] :
( ~ ( v1_xboole_0 @ B )
=> ~ ( r2_hidden @ B @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4209]) ).
thf(5527,plain,
( ( ! [A: $i] :
( ( v1_setfam_1 @ A )
<=> ~ ( r2_hidden @ k1_xboole_0 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4215]) ).
thf(5528,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4221]) ).
thf(5529,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4226]) ).
thf(5530,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4228]) ).
thf(5531,plain,
( ( ! [A: $i,B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ A ) ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ A ) ) )
=> ( ! [D: $i] :
( ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ A ) )
=> ( ( r2_hidden @ D @ B )
<=> ( r2_hidden @ D @ C ) ) )
=> ( B = C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4229]) ).
thf(5532,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4230]) ).
thf(5533,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4231]) ).
thf(5534,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4240]) ).
thf(5535,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4241]) ).
thf(5536,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4245]) ).
thf(5537,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4246]) ).
thf(5538,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4247]) ).
thf(5539,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4254]) ).
thf(5540,plain,
( ( ! [A: $i] :
( ( r1_setfam_1 @ A @ k1_xboole_0 )
=> ( A = k1_xboole_0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4255]) ).
thf(5541,plain,
( ( ! [A: $i] : ( r1_setfam_1 @ k1_xboole_0 @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[4256]) ).
thf(5542,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4260]) ).
thf(5543,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4261]) ).
thf(5544,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4262]) ).
thf(5545,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4263]) ).
thf(5546,plain,
( ( ! [A: $i] :
( ( r2_hidden @ k1_xboole_0 @ A )
=> ( ( k1_setfam_1 @ A )
= k1_xboole_0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4273]) ).
thf(5547,plain,
( ( ( k1_setfam_1 @ k1_xboole_0 )
= k1_xboole_0 )
= $true ),
inference(unfold_def,[status(thm)],[4276]) ).
thf(5548,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4277]) ).
thf(5549,plain,
( ( ! [A: $i,B: $i] :
( ( ( A != k1_xboole_0 )
=> ( ( B
= ( k1_setfam_1 @ A ) )
<=> ! [C: $i] :
( ( r2_hidden @ C @ B )
<=> ! [D: $i] :
( ( r2_hidden @ D @ A )
=> ( r2_hidden @ C @ D ) ) ) ) )
& ( ( A = k1_xboole_0 )
=> ( ( B
= ( k1_setfam_1 @ A ) )
<=> ( B = k1_xboole_0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4278]) ).
thf(5550,plain,
( ( ! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ? [B: $i] :
( ( m1_subset_1 @ B @ A )
& ~ ( v1_xboole_0 @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4279]) ).
thf(5551,plain,
( ( ! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ~ ( v1_xboole_0 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4280]) ).
thf(5552,plain,
( ( ! [A: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ( v1_setfam_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ A )
=> ~ ( v1_xboole_0 @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4282]) ).
thf(5553,plain,
( ( ? [A: $i] :
( ~ ( v1_xboole_0 @ A )
& ( v1_setfam_1 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4286]) ).
thf(5554,plain,
( ( ! [A: $i] : ( m1_subset_1 @ ( k8_subset_1 @ A ) @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[4288]) ).
thf(5555,plain,
( ( ! [A: $i,B: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ~ ( v1_xboole_0 @ B ) )
=> ~ ( r2_subset_1 @ A @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4307]) ).
thf(5556,plain,
( ( ! [A: $i,B: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ~ ( v1_xboole_0 @ B ) )
=> ( ( r2_subset_1 @ A @ B )
=> ( r2_subset_1 @ B @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4308]) ).
thf(5557,plain,
( ( ! [A: $i,B: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ~ ( v1_xboole_0 @ B ) )
=> ~ ( r1_subset_1 @ A @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4310]) ).
thf(5558,plain,
( ( ! [A: $i,B: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ~ ( v1_xboole_0 @ B ) )
=> ( ( r1_subset_1 @ A @ B )
=> ( r1_subset_1 @ B @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4311]) ).
thf(5559,plain,
( ( ! [A: $i] :
? [B: $i] : ( m1_subset_1 @ B @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[4315]) ).
thf(5560,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4316]) ).
thf(5561,plain,
( ( ! [A: $i] :
( ~ $true
=> ! [B: $i] :
( ( m1_subset_1 @ B @ A )
=> ( B
= ( k8_subset_1 @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4321]) ).
thf(5562,plain,
( ( ! [A: $i,B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
=> ( ! [C: $i] :
( ( m1_subset_1 @ C @ A )
=> ( r2_hidden @ C @ B ) )
=> ( A = B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4336]) ).
thf(5563,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4340]) ).
thf(5564,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4348]) ).
thf(5565,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4358]) ).
thf(5566,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4361]) ).
thf(5567,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4362]) ).
thf(5568,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4365]) ).
thf(5569,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4366]) ).
thf(5570,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4371]) ).
thf(5571,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4372]) ).
thf(5572,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4373]) ).
thf(5573,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4374]) ).
thf(5574,plain,
( ( ! [A: $i,B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
=> ~ ( ( B != k1_xboole_0 )
& ! [C: $i] :
( ( m1_subset_1 @ C @ A )
=> ~ ( r2_hidden @ C @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4376]) ).
thf(5575,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4377]) ).
thf(5576,plain,
( ( ! [A: $i,B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ A ) )
=> ( ! [D: $i] :
( ( m1_subset_1 @ D @ A )
=> ( ( r2_hidden @ D @ B )
<=> ( r2_hidden @ D @ C ) ) )
=> ( B = C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4378]) ).
thf(5577,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4380]) ).
thf(5578,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4381]) ).
thf(5579,plain,
( ( ! [A: $i] : ( m1_subset_1 @ k1_xboole_0 @ ( k1_zfmisc_1 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4382]) ).
thf(5580,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4383]) ).
thf(5581,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4384]) ).
thf(5582,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4385]) ).
thf(5583,plain,
( ( ! [A: $i] :
( ( k1_subset_1 @ A )
= k1_xboole_0 ) )
= $true ),
inference(unfold_def,[status(thm)],[4387]) ).
thf(5584,plain,
( ( ! [A: $i,B: $i] :
( ( ~ ( v1_xboole_0 @ A )
=> ( ( m1_subset_1 @ B @ A )
<=> ( r2_hidden @ B @ A ) ) )
& ( ( v1_xboole_0 @ A )
=> ( ( m1_subset_1 @ B @ A )
<=> ( v1_xboole_0 @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4388]) ).
thf(5585,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4389]) ).
thf(5586,plain,
( ( ! [A: $i] :
? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ( v1_xboole_0 @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4390]) ).
thf(5587,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ~ ( v1_xboole_0 @ B )
& ~ ( v1_xboole_0 @ C )
& ~ ( v1_xboole_0 @ D ) )
=> ~ ( v1_xboole_0 @ ( k4_zfmisc_1 @ A @ B @ C @ D ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4391]) ).
thf(5588,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ~ ( v1_xboole_0 @ B )
& ~ ( v1_xboole_0 @ C ) )
=> ~ ( v1_xboole_0 @ ( k3_zfmisc_1 @ A @ B @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4392]) ).
thf(5589,plain,
( ( ! [A: $i,B: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ~ ( v1_xboole_0 @ B ) )
=> ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4393]) ).
thf(5590,plain,
( ( ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ~ ( v1_xboole_0 @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4394]) ).
thf(5591,plain,
( ( ! [A: $i,B: $i] :
~ ( v1_xboole_0 @ ( k2_tarski @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4395]) ).
thf(5592,plain,
( ( ! [A: $i] :
~ ( v1_xboole_0 @ ( k1_tarski @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4396]) ).
thf(5593,plain,
( ( ! [A: $i] :
~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4397]) ).
thf(5594,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4398]) ).
thf(5595,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4399]) ).
thf(5596,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4400]) ).
thf(5597,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4401]) ).
thf(5598,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ( ( k2_zfmisc_1 @ A @ B )
= ( k2_zfmisc_1 @ C @ D ) )
=> ( ( A = k1_xboole_0 )
| ( B = k1_xboole_0 )
| ( ( A = C )
& ( B = D ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4409]) ).
thf(5599,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4410]) ).
thf(5600,plain,
( ( ! [A: $i,B: $i] :
( ( ( k2_zfmisc_1 @ A @ B )
= ( k2_zfmisc_1 @ B @ A ) )
=> ( ( A = k1_xboole_0 )
| ( B = k1_xboole_0 )
| ( A = B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4429]) ).
thf(5601,plain,
( ( ! [A: $i,B: $i] :
( ( ( k2_zfmisc_1 @ A @ B )
= k1_xboole_0 )
<=> ( ( A = k1_xboole_0 )
| ( B = k1_xboole_0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4430]) ).
thf(5602,plain,
( ( ! [A: $i,B: $i] :
( ( ! [C: $i] :
~ ( ( r2_hidden @ C @ A )
& ! [D: $i,E: $i] :
( C
!= ( k4_tarski @ D @ E ) ) )
& ! [C: $i] :
~ ( ( r2_hidden @ C @ B )
& ! [D: $i,E: $i] :
( C
!= ( k4_tarski @ D @ E ) ) )
& ! [C: $i,D: $i] :
( ( r2_hidden @ ( k4_tarski @ C @ D ) @ A )
<=> ( r2_hidden @ ( k4_tarski @ C @ D ) @ B ) ) )
=> ( A = B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4431]) ).
thf(5603,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4452]) ).
thf(5604,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4453]) ).
thf(5605,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4454]) ).
thf(5606,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4455]) ).
thf(5607,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4456]) ).
thf(5608,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4458]) ).
thf(5609,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4465]) ).
thf(5610,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4466]) ).
thf(5611,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4467]) ).
thf(5612,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4472]) ).
thf(5613,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4481]) ).
thf(5614,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4482]) ).
thf(5615,plain,
( ( ! [A: $i,B: $i] :
~ ( ( A
!= ( k1_tarski @ B ) )
& ( A != k1_xboole_0 )
& ! [C: $i] :
~ ( ( r2_hidden @ C @ A )
& ( C != B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4502]) ).
thf(5616,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4528]) ).
thf(5617,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4532]) ).
thf(5618,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4536]) ).
thf(5619,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4538]) ).
thf(5620,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4539]) ).
thf(5621,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4540]) ).
thf(5622,plain,
( ( ( k3_tarski @ k1_xboole_0 )
= k1_xboole_0 )
= $true ),
inference(unfold_def,[status(thm)],[4541]) ).
thf(5623,plain,
( ( ! [A: $i,B: $i] :
~ ( v1_xboole_0 @ ( k4_tarski @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4547]) ).
thf(5624,plain,
( ( ! [A: $i] :
( ( k5_xboole_0 @ A @ A )
= k1_xboole_0 ) )
= $true ),
inference(unfold_def,[status(thm)],[4570]) ).
thf(5625,plain,
( ( ! [A: $i] :
( ~ ( ~ ( r1_xboole_0 @ A @ A )
& ( A = k1_xboole_0 ) )
& ~ ( ( A != k1_xboole_0 )
& ( r1_xboole_0 @ A @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4596]) ).
thf(5626,plain,
( ( ! [A: $i] : ( r1_xboole_0 @ A @ k1_xboole_0 ) )
= $true ),
inference(unfold_def,[status(thm)],[4597]) ).
thf(5627,plain,
( ( ! [A: $i] :
~ ( r2_xboole_0 @ A @ k1_xboole_0 ) )
= $true ),
inference(unfold_def,[status(thm)],[4600]) ).
thf(5628,plain,
( ( ! [A: $i] :
( ( A != k1_xboole_0 )
=> ( r2_xboole_0 @ k1_xboole_0 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4601]) ).
thf(5629,plain,
( ( ! [A: $i,B: $i] :
( ( ( k2_xboole_0 @ A @ B )
= k1_xboole_0 )
=> ( A = k1_xboole_0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4647]) ).
thf(5630,plain,
( ( ! [A: $i] :
( ( r1_tarski @ A @ k1_xboole_0 )
=> ( A = k1_xboole_0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4659]) ).
thf(5631,plain,
( ( ! [A: $i] : ( r1_tarski @ k1_xboole_0 @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[4660]) ).
thf(5632,plain,
( ( ! [A: $i,B: $i] :
~ ( ( v1_xboole_0 @ A )
& ( A != B )
& ( v1_xboole_0 @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4662]) ).
thf(5633,plain,
( ( ! [A: $i,B: $i] :
~ ( ( r2_hidden @ A @ B )
& ( v1_xboole_0 @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4663]) ).
thf(5634,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( A = k1_xboole_0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4664]) ).
thf(5635,plain,
( ( ! [A: $i] :
( ( k5_xboole_0 @ A @ k1_xboole_0 )
= A ) )
= $true ),
inference(unfold_def,[status(thm)],[4665]) ).
thf(5636,plain,
( ( ! [A: $i] :
( ( k4_xboole_0 @ k1_xboole_0 @ A )
= k1_xboole_0 ) )
= $true ),
inference(unfold_def,[status(thm)],[4666]) ).
thf(5637,plain,
( ( ! [A: $i] :
( ( k4_xboole_0 @ A @ k1_xboole_0 )
= A ) )
= $true ),
inference(unfold_def,[status(thm)],[4667]) ).
thf(5638,plain,
( ( ! [A: $i] :
( ( k3_xboole_0 @ A @ k1_xboole_0 )
= k1_xboole_0 ) )
= $true ),
inference(unfold_def,[status(thm)],[4668]) ).
thf(5639,plain,
( ( ! [A: $i] :
( ( k2_xboole_0 @ A @ k1_xboole_0 )
= A ) )
= $true ),
inference(unfold_def,[status(thm)],[4669]) ).
thf(5640,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4671]) ).
thf(5641,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4672]) ).
thf(5642,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4675]) ).
thf(5643,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4678]) ).
thf(5644,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4679]) ).
thf(5645,plain,
( ( ! [A: $i,B: $i] :
( ( ! [C: $i] :
( ( r2_hidden @ C @ A )
<=> ( p1_s3_xboole_0 @ C ) )
& ! [C: $i] :
( ( r2_hidden @ C @ B )
<=> ( p1_s3_xboole_0 @ C ) ) )
=> ( A = B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4685]) ).
thf(5646,plain,
( ( ! [A: $i,B: $i] :
( ~ ( ~ ( r1_xboole_0 @ A @ B )
& ! [C: $i] :
~ ( ( r2_hidden @ C @ A )
& ( r2_hidden @ C @ B ) ) )
& ~ ( ? [C: $i] :
( ( r2_hidden @ C @ A )
& ( r2_hidden @ C @ B ) )
& ( r1_xboole_0 @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4690]) ).
thf(5647,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ! [D: $i] :
( ~ ( r2_hidden @ D @ A )
<=> ( ( r2_hidden @ D @ B )
<=> ( r2_hidden @ D @ C ) ) )
=> ( A
= ( k5_xboole_0 @ B @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4691]) ).
thf(5648,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( r2_hidden @ A @ ( k5_xboole_0 @ B @ C ) )
<=> ~ ( ( r2_hidden @ A @ B )
<=> ( r2_hidden @ A @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4692]) ).
thf(5649,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
<=> ( A = k1_xboole_0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4698]) ).
thf(5650,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( C
= ( k4_xboole_0 @ A @ B ) )
<=> ! [D: $i] :
( ( r2_hidden @ D @ C )
<=> ( ( r2_hidden @ D @ A )
& ~ ( r2_hidden @ D @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4699]) ).
thf(5651,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( C
= ( k3_xboole_0 @ A @ B ) )
<=> ! [D: $i] :
( ( r2_hidden @ D @ C )
<=> ( ( r2_hidden @ D @ A )
& ( r2_hidden @ D @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4700]) ).
thf(5652,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( C
= ( k2_xboole_0 @ A @ B ) )
<=> ! [D: $i] :
( ( r2_hidden @ D @ C )
<=> ( ( r2_hidden @ D @ A )
| ( r2_hidden @ D @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4701]) ).
thf(5653,plain,
( ( ! [A: $i] :
( ( A = k1_xboole_0 )
<=> ! [B: $i] :
~ ( r2_hidden @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4702]) ).
thf(5654,plain,
( ( ! [A: $i,B: $i] :
( ~ ( v1_xboole_0 @ A )
=> ~ ( v1_xboole_0 @ ( k2_xboole_0 @ B @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4703]) ).
thf(5655,plain,
( ( ! [A: $i,B: $i] :
( ~ ( v1_xboole_0 @ A )
=> ~ ( v1_xboole_0 @ ( k2_xboole_0 @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4704]) ).
thf(5656,plain,
( ( ? [A: $i] :
~ ( v1_xboole_0 @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[4705]) ).
thf(5657,plain,
( ( ? [A: $i] : ( v1_xboole_0 @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[4706]) ).
thf(5658,plain,
( ( v1_xboole_0 @ k1_xboole_0 )
= $true ),
inference(unfold_def,[status(thm)],[4707]) ).
thf(5659,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4708]) ).
thf(5660,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4709]) ).
thf(5661,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4711]) ).
thf(5662,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4712]) ).
thf(5663,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4717]) ).
thf(5664,plain,
( ( ! [A: $i,B: $i] :
~ ( ( r2_hidden @ A @ B )
& ! [C: $i] :
~ ( ( r2_hidden @ C @ B )
& ! [D: $i] :
~ ( ( r2_hidden @ D @ B )
& ( r2_hidden @ D @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4719]) ).
thf(5665,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4720]) ).
thf(5666,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4721]) ).
thf(5667,plain,
( ( ! [A: $i,B: $i] :
( ( B
= ( k3_tarski @ A ) )
<=> ! [C: $i] :
( ( r2_hidden @ C @ B )
<=> ? [D: $i] :
( ( r2_hidden @ C @ D )
& ( r2_hidden @ D @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4722]) ).
thf(5668,plain,
( ( ! [A: $i,B: $i] :
( ( r1_tarski @ A @ B )
<=> ! [C: $i] :
( ( r2_hidden @ C @ A )
=> ( r2_hidden @ C @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4723]) ).
thf(5669,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4724]) ).
thf(5670,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4725]) ).
thf(5671,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( C
= ( k2_tarski @ A @ B ) )
<=> ! [D: $i] :
( ( r2_hidden @ D @ C )
<=> ( ( D = A )
| ( D = B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4726]) ).
thf(5672,plain,
( ( ! [A: $i,B: $i] :
( ( B
= ( k1_tarski @ A ) )
<=> ! [C: $i] :
( ( r2_hidden @ C @ B )
<=> ( C = A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4727]) ).
thf(5673,plain,
( ( ! [A: $i,B: $i] :
( ! [C: $i] :
( ( r2_hidden @ C @ A )
<=> ( r2_hidden @ C @ B ) )
=> ( A = B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4728]) ).
thf(5674,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4729]) ).
thf(5675,plain,
( ( ! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ~ ( r2_hidden @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4730]) ).
thf(5676,plain,
( ( ~ ( v1_xboole_0 @ sK1_A )
=> ! [SY415: $i] :
( ( m1_pboole @ SY415 @ sK1_A )
=> ! [SY416: $i] :
( ( m1_subset_1 @ SY416 @ sK1_A )
=> ( ~ ( r2_hidden @ SY416 @ ( k1_closure3 @ sK1_A @ SY415 ) )
=> ( ( k1_funct_1 @ SY415 @ SY416 )
= k1_xboole_0 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4733]) ).
thf(5677,plain,
( ( ~ ( v1_xboole_0 @ sK1_A ) )
= $true ),
inference(standard_cnf,[status(thm)],[5676]) ).
thf(5678,plain,
( ( ! [SY415: $i] :
( ( m1_pboole @ SY415 @ sK1_A )
=> ! [SY416: $i] :
( ( m1_subset_1 @ SY416 @ sK1_A )
=> ( ~ ( r2_hidden @ SY416 @ ( k1_closure3 @ sK1_A @ SY415 ) )
=> ( ( k1_funct_1 @ SY415 @ SY416 )
= k1_xboole_0 ) ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[5676]) ).
thf(5679,plain,
( ( ~ ! [SY415: $i] :
( ( m1_pboole @ SY415 @ sK1_A )
=> ! [SY416: $i] :
( ( m1_subset_1 @ SY416 @ sK1_A )
=> ( ~ ( r2_hidden @ SY416 @ ( k1_closure3 @ sK1_A @ SY415 ) )
=> ( ( k1_funct_1 @ SY415 @ SY416 )
= k1_xboole_0 ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[5678]) ).
thf(5680,plain,
( ( ! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ~ ( r2_hidden @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[5675]) ).
thf(5681,plain,
$true = $true,
inference(copy,[status(thm)],[5674]) ).
thf(5682,plain,
( ( ! [A: $i,B: $i] :
( ! [C: $i] :
( ( r2_hidden @ C @ A )
<=> ( r2_hidden @ C @ B ) )
=> ( A = B ) ) )
= $true ),
inference(copy,[status(thm)],[5673]) ).
thf(5683,plain,
( ( ! [A: $i,B: $i] :
( ( B
= ( k1_tarski @ A ) )
<=> ! [C: $i] :
( ( r2_hidden @ C @ B )
<=> ( C = A ) ) ) )
= $true ),
inference(copy,[status(thm)],[5672]) ).
thf(5684,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( C
= ( k2_tarski @ A @ B ) )
<=> ! [D: $i] :
( ( r2_hidden @ D @ C )
<=> ( ( D = A )
| ( D = B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[5671]) ).
thf(5685,plain,
$true = $true,
inference(copy,[status(thm)],[5670]) ).
thf(5686,plain,
$true = $true,
inference(copy,[status(thm)],[5669]) ).
thf(5687,plain,
( ( ! [A: $i,B: $i] :
( ( r1_tarski @ A @ B )
<=> ! [C: $i] :
( ( r2_hidden @ C @ A )
=> ( r2_hidden @ C @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[5668]) ).
thf(5688,plain,
( ( ! [A: $i,B: $i] :
( ( B
= ( k3_tarski @ A ) )
<=> ! [C: $i] :
( ( r2_hidden @ C @ B )
<=> ? [D: $i] :
( ( r2_hidden @ C @ D )
& ( r2_hidden @ D @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[5667]) ).
thf(5689,plain,
$true = $true,
inference(copy,[status(thm)],[5666]) ).
thf(5690,plain,
$true = $true,
inference(copy,[status(thm)],[5665]) ).
thf(5691,plain,
( ( ! [A: $i,B: $i] :
~ ( ( r2_hidden @ A @ B )
& ! [C: $i] :
~ ( ( r2_hidden @ C @ B )
& ! [D: $i] :
~ ( ( r2_hidden @ D @ B )
& ( r2_hidden @ D @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[5664]) ).
thf(5692,plain,
$true = $true,
inference(copy,[status(thm)],[5663]) ).
thf(5693,plain,
$true = $true,
inference(copy,[status(thm)],[5662]) ).
thf(5694,plain,
$true = $true,
inference(copy,[status(thm)],[5661]) ).
thf(5695,plain,
$true = $true,
inference(copy,[status(thm)],[5660]) ).
thf(5696,plain,
$true = $true,
inference(copy,[status(thm)],[5659]) ).
thf(5697,plain,
( ( v1_xboole_0 @ k1_xboole_0 )
= $true ),
inference(copy,[status(thm)],[5658]) ).
thf(5698,plain,
( ( ? [A: $i] : ( v1_xboole_0 @ A ) )
= $true ),
inference(copy,[status(thm)],[5657]) ).
thf(5699,plain,
( ( ? [A: $i] :
~ ( v1_xboole_0 @ A ) )
= $true ),
inference(copy,[status(thm)],[5656]) ).
thf(5700,plain,
( ( ! [A: $i,B: $i] :
( ~ ( v1_xboole_0 @ A )
=> ~ ( v1_xboole_0 @ ( k2_xboole_0 @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[5655]) ).
thf(5701,plain,
( ( ! [A: $i,B: $i] :
( ~ ( v1_xboole_0 @ A )
=> ~ ( v1_xboole_0 @ ( k2_xboole_0 @ B @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[5654]) ).
thf(5702,plain,
( ( ! [A: $i] :
( ( A = k1_xboole_0 )
<=> ! [B: $i] :
~ ( r2_hidden @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[5653]) ).
thf(5703,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( C
= ( k2_xboole_0 @ A @ B ) )
<=> ! [D: $i] :
( ( r2_hidden @ D @ C )
<=> ( ( r2_hidden @ D @ A )
| ( r2_hidden @ D @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[5652]) ).
thf(5704,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( C
= ( k3_xboole_0 @ A @ B ) )
<=> ! [D: $i] :
( ( r2_hidden @ D @ C )
<=> ( ( r2_hidden @ D @ A )
& ( r2_hidden @ D @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[5651]) ).
thf(5705,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( C
= ( k4_xboole_0 @ A @ B ) )
<=> ! [D: $i] :
( ( r2_hidden @ D @ C )
<=> ( ( r2_hidden @ D @ A )
& ~ ( r2_hidden @ D @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[5650]) ).
thf(5706,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
<=> ( A = k1_xboole_0 ) ) )
= $true ),
inference(copy,[status(thm)],[5649]) ).
thf(5707,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( r2_hidden @ A @ ( k5_xboole_0 @ B @ C ) )
<=> ~ ( ( r2_hidden @ A @ B )
<=> ( r2_hidden @ A @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[5648]) ).
thf(5708,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ! [D: $i] :
( ~ ( r2_hidden @ D @ A )
<=> ( ( r2_hidden @ D @ B )
<=> ( r2_hidden @ D @ C ) ) )
=> ( A
= ( k5_xboole_0 @ B @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[5647]) ).
thf(5709,plain,
( ( ! [A: $i,B: $i] :
( ~ ( ~ ( r1_xboole_0 @ A @ B )
& ! [C: $i] :
~ ( ( r2_hidden @ C @ A )
& ( r2_hidden @ C @ B ) ) )
& ~ ( ? [C: $i] :
( ( r2_hidden @ C @ A )
& ( r2_hidden @ C @ B ) )
& ( r1_xboole_0 @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[5646]) ).
thf(5710,plain,
( ( ! [A: $i,B: $i] :
( ( ! [C: $i] :
( ( r2_hidden @ C @ A )
<=> ( p1_s3_xboole_0 @ C ) )
& ! [C: $i] :
( ( r2_hidden @ C @ B )
<=> ( p1_s3_xboole_0 @ C ) ) )
=> ( A = B ) ) )
= $true ),
inference(copy,[status(thm)],[5645]) ).
thf(5711,plain,
$true = $true,
inference(copy,[status(thm)],[5644]) ).
thf(5712,plain,
$true = $true,
inference(copy,[status(thm)],[5643]) ).
thf(5713,plain,
$true = $true,
inference(copy,[status(thm)],[5642]) ).
thf(5714,plain,
$true = $true,
inference(copy,[status(thm)],[5641]) ).
thf(5715,plain,
$true = $true,
inference(copy,[status(thm)],[5640]) ).
thf(5716,plain,
( ( ! [A: $i] :
( ( k2_xboole_0 @ A @ k1_xboole_0 )
= A ) )
= $true ),
inference(copy,[status(thm)],[5639]) ).
thf(5717,plain,
( ( ! [A: $i] :
( ( k3_xboole_0 @ A @ k1_xboole_0 )
= k1_xboole_0 ) )
= $true ),
inference(copy,[status(thm)],[5638]) ).
thf(5718,plain,
( ( ! [A: $i] :
( ( k4_xboole_0 @ A @ k1_xboole_0 )
= A ) )
= $true ),
inference(copy,[status(thm)],[5637]) ).
thf(5719,plain,
( ( ! [A: $i] :
( ( k4_xboole_0 @ k1_xboole_0 @ A )
= k1_xboole_0 ) )
= $true ),
inference(copy,[status(thm)],[5636]) ).
thf(5720,plain,
( ( ! [A: $i] :
( ( k5_xboole_0 @ A @ k1_xboole_0 )
= A ) )
= $true ),
inference(copy,[status(thm)],[5635]) ).
thf(5721,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( A = k1_xboole_0 ) ) )
= $true ),
inference(copy,[status(thm)],[5634]) ).
thf(5722,plain,
( ( ! [A: $i,B: $i] :
~ ( ( r2_hidden @ A @ B )
& ( v1_xboole_0 @ B ) ) )
= $true ),
inference(copy,[status(thm)],[5633]) ).
thf(5723,plain,
( ( ! [A: $i,B: $i] :
~ ( ( v1_xboole_0 @ A )
& ( A != B )
& ( v1_xboole_0 @ B ) ) )
= $true ),
inference(copy,[status(thm)],[5632]) ).
thf(5724,plain,
( ( ! [A: $i] : ( r1_tarski @ k1_xboole_0 @ A ) )
= $true ),
inference(copy,[status(thm)],[5631]) ).
thf(5725,plain,
( ( ! [A: $i] :
( ( r1_tarski @ A @ k1_xboole_0 )
=> ( A = k1_xboole_0 ) ) )
= $true ),
inference(copy,[status(thm)],[5630]) ).
thf(5726,plain,
( ( ! [A: $i,B: $i] :
( ( ( k2_xboole_0 @ A @ B )
= k1_xboole_0 )
=> ( A = k1_xboole_0 ) ) )
= $true ),
inference(copy,[status(thm)],[5629]) ).
thf(5727,plain,
( ( ! [A: $i] :
( ( A != k1_xboole_0 )
=> ( r2_xboole_0 @ k1_xboole_0 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[5628]) ).
thf(5728,plain,
( ( ! [A: $i] :
~ ( r2_xboole_0 @ A @ k1_xboole_0 ) )
= $true ),
inference(copy,[status(thm)],[5627]) ).
thf(5729,plain,
( ( ! [A: $i] : ( r1_xboole_0 @ A @ k1_xboole_0 ) )
= $true ),
inference(copy,[status(thm)],[5626]) ).
thf(5730,plain,
( ( ! [A: $i] :
( ~ ( ~ ( r1_xboole_0 @ A @ A )
& ( A = k1_xboole_0 ) )
& ~ ( ( A != k1_xboole_0 )
& ( r1_xboole_0 @ A @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[5625]) ).
thf(5731,plain,
( ( ! [A: $i] :
( ( k5_xboole_0 @ A @ A )
= k1_xboole_0 ) )
= $true ),
inference(copy,[status(thm)],[5624]) ).
thf(5732,plain,
( ( ! [A: $i,B: $i] :
~ ( v1_xboole_0 @ ( k4_tarski @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[5623]) ).
thf(5733,plain,
( ( ( k3_tarski @ k1_xboole_0 )
= k1_xboole_0 )
= $true ),
inference(copy,[status(thm)],[5622]) ).
thf(5734,plain,
$true = $true,
inference(copy,[status(thm)],[5621]) ).
thf(5735,plain,
$true = $true,
inference(copy,[status(thm)],[5620]) ).
thf(5736,plain,
$true = $true,
inference(copy,[status(thm)],[5619]) ).
thf(5737,plain,
$true = $true,
inference(copy,[status(thm)],[5618]) ).
thf(5738,plain,
$true = $true,
inference(copy,[status(thm)],[5617]) ).
thf(5739,plain,
$true = $true,
inference(copy,[status(thm)],[5616]) ).
thf(5740,plain,
( ( ! [A: $i,B: $i] :
~ ( ( A
!= ( k1_tarski @ B ) )
& ( A != k1_xboole_0 )
& ! [C: $i] :
~ ( ( r2_hidden @ C @ A )
& ( C != B ) ) ) )
= $true ),
inference(copy,[status(thm)],[5615]) ).
thf(5741,plain,
$true = $true,
inference(copy,[status(thm)],[5614]) ).
thf(5742,plain,
$true = $true,
inference(copy,[status(thm)],[5613]) ).
thf(5743,plain,
$true = $true,
inference(copy,[status(thm)],[5612]) ).
thf(5744,plain,
$true = $true,
inference(copy,[status(thm)],[5611]) ).
thf(5745,plain,
$true = $true,
inference(copy,[status(thm)],[5610]) ).
thf(5746,plain,
$true = $true,
inference(copy,[status(thm)],[5609]) ).
thf(5747,plain,
$true = $true,
inference(copy,[status(thm)],[5608]) ).
thf(5748,plain,
$true = $true,
inference(copy,[status(thm)],[5607]) ).
thf(5749,plain,
$true = $true,
inference(copy,[status(thm)],[5606]) ).
thf(5750,plain,
$true = $true,
inference(copy,[status(thm)],[5605]) ).
thf(5751,plain,
$true = $true,
inference(copy,[status(thm)],[5604]) ).
thf(5752,plain,
$true = $true,
inference(copy,[status(thm)],[5603]) ).
thf(5753,plain,
( ( ! [A: $i,B: $i] :
( ( ! [C: $i] :
~ ( ( r2_hidden @ C @ A )
& ! [D: $i,E: $i] :
( C
!= ( k4_tarski @ D @ E ) ) )
& ! [C: $i] :
~ ( ( r2_hidden @ C @ B )
& ! [D: $i,E: $i] :
( C
!= ( k4_tarski @ D @ E ) ) )
& ! [C: $i,D: $i] :
( ( r2_hidden @ ( k4_tarski @ C @ D ) @ A )
<=> ( r2_hidden @ ( k4_tarski @ C @ D ) @ B ) ) )
=> ( A = B ) ) )
= $true ),
inference(copy,[status(thm)],[5602]) ).
thf(5754,plain,
( ( ! [A: $i,B: $i] :
( ( ( k2_zfmisc_1 @ A @ B )
= k1_xboole_0 )
<=> ( ( A = k1_xboole_0 )
| ( B = k1_xboole_0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[5601]) ).
thf(5755,plain,
( ( ! [A: $i,B: $i] :
( ( ( k2_zfmisc_1 @ A @ B )
= ( k2_zfmisc_1 @ B @ A ) )
=> ( ( A = k1_xboole_0 )
| ( B = k1_xboole_0 )
| ( A = B ) ) ) )
= $true ),
inference(copy,[status(thm)],[5600]) ).
thf(5756,plain,
$true = $true,
inference(copy,[status(thm)],[5599]) ).
thf(5757,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ( ( k2_zfmisc_1 @ A @ B )
= ( k2_zfmisc_1 @ C @ D ) )
=> ( ( A = k1_xboole_0 )
| ( B = k1_xboole_0 )
| ( ( A = C )
& ( B = D ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[5598]) ).
thf(5758,plain,
$true = $true,
inference(copy,[status(thm)],[5597]) ).
thf(5759,plain,
$true = $true,
inference(copy,[status(thm)],[5596]) ).
thf(5760,plain,
$true = $true,
inference(copy,[status(thm)],[5595]) ).
thf(5761,plain,
$true = $true,
inference(copy,[status(thm)],[5594]) ).
thf(5762,plain,
( ( ! [A: $i] :
~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[5593]) ).
thf(5763,plain,
( ( ! [A: $i] :
~ ( v1_xboole_0 @ ( k1_tarski @ A ) ) )
= $true ),
inference(copy,[status(thm)],[5592]) ).
thf(5764,plain,
( ( ! [A: $i,B: $i] :
~ ( v1_xboole_0 @ ( k2_tarski @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[5591]) ).
thf(5765,plain,
( ( ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ~ ( v1_xboole_0 @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[5590]) ).
thf(5766,plain,
( ( ! [A: $i,B: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ~ ( v1_xboole_0 @ B ) )
=> ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[5589]) ).
thf(5767,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ~ ( v1_xboole_0 @ B )
& ~ ( v1_xboole_0 @ C ) )
=> ~ ( v1_xboole_0 @ ( k3_zfmisc_1 @ A @ B @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[5588]) ).
thf(5768,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ~ ( v1_xboole_0 @ B )
& ~ ( v1_xboole_0 @ C )
& ~ ( v1_xboole_0 @ D ) )
=> ~ ( v1_xboole_0 @ ( k4_zfmisc_1 @ A @ B @ C @ D ) ) ) )
= $true ),
inference(copy,[status(thm)],[5587]) ).
thf(5769,plain,
( ( ! [A: $i] :
? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ( v1_xboole_0 @ B ) ) )
= $true ),
inference(copy,[status(thm)],[5586]) ).
thf(5770,plain,
$true = $true,
inference(copy,[status(thm)],[5585]) ).
thf(5771,plain,
( ( ! [A: $i,B: $i] :
( ( ~ ( v1_xboole_0 @ A )
=> ( ( m1_subset_1 @ B @ A )
<=> ( r2_hidden @ B @ A ) ) )
& ( ( v1_xboole_0 @ A )
=> ( ( m1_subset_1 @ B @ A )
<=> ( v1_xboole_0 @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[5584]) ).
thf(5772,plain,
( ( ! [A: $i] :
( ( k1_subset_1 @ A )
= k1_xboole_0 ) )
= $true ),
inference(copy,[status(thm)],[5583]) ).
thf(5773,plain,
$true = $true,
inference(copy,[status(thm)],[5582]) ).
thf(5774,plain,
$true = $true,
inference(copy,[status(thm)],[5581]) ).
thf(5775,plain,
$true = $true,
inference(copy,[status(thm)],[5580]) ).
thf(5776,plain,
( ( ! [A: $i] : ( m1_subset_1 @ k1_xboole_0 @ ( k1_zfmisc_1 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[5579]) ).
thf(5777,plain,
$true = $true,
inference(copy,[status(thm)],[5578]) ).
thf(5778,plain,
$true = $true,
inference(copy,[status(thm)],[5577]) ).
thf(5779,plain,
( ( ! [A: $i,B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ A ) )
=> ( ! [D: $i] :
( ( m1_subset_1 @ D @ A )
=> ( ( r2_hidden @ D @ B )
<=> ( r2_hidden @ D @ C ) ) )
=> ( B = C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[5576]) ).
thf(5780,plain,
$true = $true,
inference(copy,[status(thm)],[5575]) ).
thf(5781,plain,
( ( ! [A: $i,B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
=> ~ ( ( B != k1_xboole_0 )
& ! [C: $i] :
( ( m1_subset_1 @ C @ A )
=> ~ ( r2_hidden @ C @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[5574]) ).
thf(5782,plain,
$true = $true,
inference(copy,[status(thm)],[5573]) ).
thf(5783,plain,
$true = $true,
inference(copy,[status(thm)],[5572]) ).
thf(5784,plain,
$true = $true,
inference(copy,[status(thm)],[5571]) ).
thf(5785,plain,
$true = $true,
inference(copy,[status(thm)],[5570]) ).
thf(5786,plain,
$true = $true,
inference(copy,[status(thm)],[5569]) ).
thf(5787,plain,
$true = $true,
inference(copy,[status(thm)],[5568]) ).
thf(5788,plain,
$true = $true,
inference(copy,[status(thm)],[5567]) ).
thf(5789,plain,
$true = $true,
inference(copy,[status(thm)],[5566]) ).
thf(5790,plain,
$true = $true,
inference(copy,[status(thm)],[5565]) ).
thf(5791,plain,
$true = $true,
inference(copy,[status(thm)],[5564]) ).
thf(5792,plain,
$true = $true,
inference(copy,[status(thm)],[5563]) ).
thf(5793,plain,
( ( ! [A: $i,B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
=> ( ! [C: $i] :
( ( m1_subset_1 @ C @ A )
=> ( r2_hidden @ C @ B ) )
=> ( A = B ) ) ) )
= $true ),
inference(copy,[status(thm)],[5562]) ).
thf(5794,plain,
( ( ! [A: $i] :
( ~ $true
=> ! [B: $i] :
( ( m1_subset_1 @ B @ A )
=> ( B
= ( k8_subset_1 @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[5561]) ).
thf(5795,plain,
$true = $true,
inference(copy,[status(thm)],[5560]) ).
thf(5796,plain,
( ( ! [A: $i] :
? [B: $i] : ( m1_subset_1 @ B @ A ) )
= $true ),
inference(copy,[status(thm)],[5559]) ).
thf(5797,plain,
( ( ! [A: $i,B: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ~ ( v1_xboole_0 @ B ) )
=> ( ( r1_subset_1 @ A @ B )
=> ( r1_subset_1 @ B @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[5558]) ).
thf(5798,plain,
( ( ! [A: $i,B: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ~ ( v1_xboole_0 @ B ) )
=> ~ ( r1_subset_1 @ A @ A ) ) )
= $true ),
inference(copy,[status(thm)],[5557]) ).
thf(5799,plain,
( ( ! [A: $i,B: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ~ ( v1_xboole_0 @ B ) )
=> ( ( r2_subset_1 @ A @ B )
=> ( r2_subset_1 @ B @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[5556]) ).
thf(5800,plain,
( ( ! [A: $i,B: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ~ ( v1_xboole_0 @ B ) )
=> ~ ( r2_subset_1 @ A @ A ) ) )
= $true ),
inference(copy,[status(thm)],[5555]) ).
thf(5801,plain,
( ( ! [A: $i] : ( m1_subset_1 @ ( k8_subset_1 @ A ) @ A ) )
= $true ),
inference(copy,[status(thm)],[5554]) ).
thf(5802,plain,
( ( ? [A: $i] :
( ~ ( v1_xboole_0 @ A )
& ( v1_setfam_1 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[5553]) ).
thf(5803,plain,
( ( ! [A: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ( v1_setfam_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ A )
=> ~ ( v1_xboole_0 @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[5552]) ).
thf(5804,plain,
( ( ! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ~ ( v1_xboole_0 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[5551]) ).
thf(5805,plain,
( ( ! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ? [B: $i] :
( ( m1_subset_1 @ B @ A )
& ~ ( v1_xboole_0 @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[5550]) ).
thf(5806,plain,
( ( ! [A: $i,B: $i] :
( ( ( A != k1_xboole_0 )
=> ( ( B
= ( k1_setfam_1 @ A ) )
<=> ! [C: $i] :
( ( r2_hidden @ C @ B )
<=> ! [D: $i] :
( ( r2_hidden @ D @ A )
=> ( r2_hidden @ C @ D ) ) ) ) )
& ( ( A = k1_xboole_0 )
=> ( ( B
= ( k1_setfam_1 @ A ) )
<=> ( B = k1_xboole_0 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[5549]) ).
thf(5807,plain,
$true = $true,
inference(copy,[status(thm)],[5548]) ).
thf(5808,plain,
( ( ( k1_setfam_1 @ k1_xboole_0 )
= k1_xboole_0 )
= $true ),
inference(copy,[status(thm)],[5547]) ).
thf(5809,plain,
( ( ! [A: $i] :
( ( r2_hidden @ k1_xboole_0 @ A )
=> ( ( k1_setfam_1 @ A )
= k1_xboole_0 ) ) )
= $true ),
inference(copy,[status(thm)],[5546]) ).
thf(5810,plain,
$true = $true,
inference(copy,[status(thm)],[5545]) ).
thf(5811,plain,
$true = $true,
inference(copy,[status(thm)],[5544]) ).
thf(5812,plain,
$true = $true,
inference(copy,[status(thm)],[5543]) ).
thf(5813,plain,
$true = $true,
inference(copy,[status(thm)],[5542]) ).
thf(5814,plain,
( ( ! [A: $i] : ( r1_setfam_1 @ k1_xboole_0 @ A ) )
= $true ),
inference(copy,[status(thm)],[5541]) ).
thf(5815,plain,
( ( ! [A: $i] :
( ( r1_setfam_1 @ A @ k1_xboole_0 )
=> ( A = k1_xboole_0 ) ) )
= $true ),
inference(copy,[status(thm)],[5540]) ).
thf(5816,plain,
$true = $true,
inference(copy,[status(thm)],[5539]) ).
thf(5817,plain,
$true = $true,
inference(copy,[status(thm)],[5538]) ).
thf(5818,plain,
$true = $true,
inference(copy,[status(thm)],[5537]) ).
thf(5819,plain,
$true = $true,
inference(copy,[status(thm)],[5536]) ).
thf(5820,plain,
$true = $true,
inference(copy,[status(thm)],[5535]) ).
thf(5821,plain,
$true = $true,
inference(copy,[status(thm)],[5534]) ).
thf(5822,plain,
$true = $true,
inference(copy,[status(thm)],[5533]) ).
thf(5823,plain,
$true = $true,
inference(copy,[status(thm)],[5532]) ).
thf(5824,plain,
( ( ! [A: $i,B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ A ) ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ A ) ) )
=> ( ! [D: $i] :
( ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ A ) )
=> ( ( r2_hidden @ D @ B )
<=> ( r2_hidden @ D @ C ) ) )
=> ( B = C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[5531]) ).
thf(5825,plain,
$true = $true,
inference(copy,[status(thm)],[5530]) ).
thf(5826,plain,
$true = $true,
inference(copy,[status(thm)],[5529]) ).
thf(5827,plain,
$true = $true,
inference(copy,[status(thm)],[5528]) ).
thf(5828,plain,
( ( ! [A: $i] :
( ( v1_setfam_1 @ A )
<=> ~ ( r2_hidden @ k1_xboole_0 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[5527]) ).
thf(5829,plain,
( ( ! [A: $i] :
( ( v2_setfam_1 @ A )
<=> ! [B: $i] :
( ~ ( v1_xboole_0 @ B )
=> ~ ( r2_hidden @ B @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[5526]) ).
thf(5830,plain,
$true = $true,
inference(copy,[status(thm)],[5525]) ).
thf(5831,plain,
$true = $true,
inference(copy,[status(thm)],[5524]) ).
thf(5832,plain,
$true = $true,
inference(copy,[status(thm)],[5523]) ).
thf(5833,plain,
$true = $true,
inference(copy,[status(thm)],[5522]) ).
thf(5834,plain,
( ( ! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ( m1_subset_1 @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[5521]) ).
thf(5835,plain,
( ( ! [A: $i,B: $i] :
( ( m1_subset_1 @ A @ B )
=> ( ( v1_xboole_0 @ B )
| ( r2_hidden @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[5520]) ).
thf(5836,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( r2_hidden @ A @ B )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ C ) ) )
=> ( m1_subset_1 @ A @ C ) ) )
= $true ),
inference(copy,[status(thm)],[5519]) ).
thf(5837,plain,
( ( ! [A: $i,B: $i,C: $i] :
~ ( ( r2_hidden @ A @ B )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ C ) )
& ( v1_xboole_0 @ C ) ) )
= $true ),
inference(copy,[status(thm)],[5518]) ).
thf(5838,plain,
( ( ? [A: $i] :
( ( v1_xboole_0 @ A )
& ( v1_relat_1 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[5517]) ).
thf(5839,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( v1_relat_1 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[5516]) ).
thf(5840,plain,
( ( ( v1_xboole_0 @ k1_xboole_0 )
& ( v1_relat_1 @ k1_xboole_0 ) )
= $true ),
inference(copy,[status(thm)],[5515]) ).
thf(5841,plain,
( ( ? [A: $i] :
( ~ ( v1_xboole_0 @ A )
& ( v1_relat_1 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[5514]) ).
thf(5842,plain,
$true = $true,
inference(copy,[status(thm)],[5513]) ).
thf(5843,plain,
$true = $true,
inference(copy,[status(thm)],[5512]) ).
thf(5844,plain,
$true = $true,
inference(copy,[status(thm)],[5511]) ).
thf(5845,plain,
$true = $true,
inference(copy,[status(thm)],[5510]) ).
thf(5846,plain,
$true = $true,
inference(copy,[status(thm)],[5509]) ).
thf(5847,plain,
$true = $true,
inference(copy,[status(thm)],[5508]) ).
thf(5848,plain,
$true = $true,
inference(copy,[status(thm)],[5507]) ).
thf(5849,plain,
$true = $true,
inference(copy,[status(thm)],[5506]) ).
thf(5850,plain,
$true = $true,
inference(copy,[status(thm)],[5505]) ).
thf(5851,plain,
$true = $true,
inference(copy,[status(thm)],[5504]) ).
thf(5852,plain,
$true = $true,
inference(copy,[status(thm)],[5503]) ).
thf(5853,plain,
$true = $true,
inference(copy,[status(thm)],[5502]) ).
thf(5854,plain,
$true = $true,
inference(copy,[status(thm)],[5501]) ).
thf(5855,plain,
$true = $true,
inference(copy,[status(thm)],[5500]) ).
thf(5856,plain,
$true = $true,
inference(copy,[status(thm)],[5499]) ).
thf(5857,plain,
$true = $true,
inference(copy,[status(thm)],[5498]) ).
thf(5858,plain,
$true = $true,
inference(copy,[status(thm)],[5497]) ).
thf(5859,plain,
( ( ( k4_relat_1 @ k1_xboole_0 )
= k1_xboole_0 )
= $true ),
inference(copy,[status(thm)],[5496]) ).
thf(5860,plain,
$true = $true,
inference(copy,[status(thm)],[5495]) ).
thf(5861,plain,
$true = $true,
inference(copy,[status(thm)],[5494]) ).
thf(5862,plain,
$true = $true,
inference(copy,[status(thm)],[5493]) ).
thf(5863,plain,
( ( ( k6_relat_1 @ k1_xboole_0 )
= k1_xboole_0 )
= $true ),
inference(copy,[status(thm)],[5492]) ).
thf(5864,plain,
$true = $true,
inference(copy,[status(thm)],[5491]) ).
thf(5865,plain,
$true = $true,
inference(copy,[status(thm)],[5490]) ).
thf(5866,plain,
$true = $true,
inference(copy,[status(thm)],[5489]) ).
thf(5867,plain,
( ( ! [A: $i] :
( ( k7_relat_1 @ k1_xboole_0 @ A )
= k1_xboole_0 ) )
= $true ),
inference(copy,[status(thm)],[5488]) ).
thf(5868,plain,
$true = $true,
inference(copy,[status(thm)],[5487]) ).
thf(5869,plain,
$true = $true,
inference(copy,[status(thm)],[5486]) ).
thf(5870,plain,
( ( ! [A: $i] :
( ( k8_relat_1 @ A @ k1_xboole_0 )
= k1_xboole_0 ) )
= $true ),
inference(copy,[status(thm)],[5485]) ).
thf(5871,plain,
$true = $true,
inference(copy,[status(thm)],[5484]) ).
thf(5872,plain,
$true = $true,
inference(copy,[status(thm)],[5483]) ).
thf(5873,plain,
( ( ! [A: $i] :
( ( k9_relat_1 @ k1_xboole_0 @ A )
= k1_xboole_0 ) )
= $true ),
inference(copy,[status(thm)],[5482]) ).
thf(5874,plain,
$true = $true,
inference(copy,[status(thm)],[5481]) ).
thf(5875,plain,
$true = $true,
inference(copy,[status(thm)],[5480]) ).
thf(5876,plain,
$true = $true,
inference(copy,[status(thm)],[5479]) ).
thf(5877,plain,
( ( ! [A: $i] :
( ( k10_relat_1 @ k1_xboole_0 @ A )
= k1_xboole_0 ) )
= $true ),
inference(copy,[status(thm)],[5478]) ).
thf(5878,plain,
$true = $true,
inference(copy,[status(thm)],[5477]) ).
thf(5879,plain,
$true = $true,
inference(copy,[status(thm)],[5476]) ).
thf(5880,plain,
$true = $true,
inference(copy,[status(thm)],[5475]) ).
thf(5881,plain,
$true = $true,
inference(copy,[status(thm)],[5474]) ).
thf(5882,plain,
$true = $true,
inference(copy,[status(thm)],[5473]) ).
thf(5883,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( v1_funct_1 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[5472]) ).
thf(5884,plain,
$true = $true,
inference(copy,[status(thm)],[5471]) ).
thf(5885,plain,
$true = $true,
inference(copy,[status(thm)],[5470]) ).
thf(5886,plain,
$true = $true,
inference(copy,[status(thm)],[5469]) ).
thf(5887,plain,
$true = $true,
inference(copy,[status(thm)],[5468]) ).
thf(5888,plain,
$true = $true,
inference(copy,[status(thm)],[5467]) ).
thf(5889,plain,
$true = $true,
inference(copy,[status(thm)],[5466]) ).
thf(5890,plain,
$true = $true,
inference(copy,[status(thm)],[5465]) ).
thf(5891,plain,
$true = $true,
inference(copy,[status(thm)],[5464]) ).
thf(5892,plain,
$true = $true,
inference(copy,[status(thm)],[5463]) ).
thf(5893,plain,
$true = $true,
inference(copy,[status(thm)],[5462]) ).
thf(5894,plain,
$true = $true,
inference(copy,[status(thm)],[5461]) ).
thf(5895,plain,
$true = $true,
inference(copy,[status(thm)],[5460]) ).
thf(5896,plain,
$true = $true,
inference(copy,[status(thm)],[5459]) ).
thf(5897,plain,
$true = $true,
inference(copy,[status(thm)],[5458]) ).
thf(5898,plain,
$true = $true,
inference(copy,[status(thm)],[5457]) ).
thf(5899,plain,
$true = $true,
inference(copy,[status(thm)],[5456]) ).
thf(5900,plain,
$true = $true,
inference(copy,[status(thm)],[5455]) ).
thf(5901,plain,
$true = $true,
inference(copy,[status(thm)],[5454]) ).
thf(5902,plain,
( ( ! [A: $i,B: $i] :
( ( r2_hidden @ B @ A )
=> ( ( k1_funct_1 @ ( k6_relat_1 @ A ) @ B )
= B ) ) )
= $true ),
inference(copy,[status(thm)],[5453]) ).
thf(5903,plain,
$true = $true,
inference(copy,[status(thm)],[5452]) ).
thf(5904,plain,
$true = $true,
inference(copy,[status(thm)],[5451]) ).
thf(5905,plain,
$true = $true,
inference(copy,[status(thm)],[5450]) ).
thf(5906,plain,
$true = $true,
inference(copy,[status(thm)],[5449]) ).
thf(5907,plain,
$true = $true,
inference(copy,[status(thm)],[5448]) ).
thf(5908,plain,
$true = $true,
inference(copy,[status(thm)],[5447]) ).
thf(5909,plain,
$true = $true,
inference(copy,[status(thm)],[5446]) ).
thf(5910,plain,
$true = $true,
inference(copy,[status(thm)],[5445]) ).
thf(5911,plain,
$true = $true,
inference(copy,[status(thm)],[5444]) ).
thf(5912,plain,
$true = $true,
inference(copy,[status(thm)],[5443]) ).
thf(5913,plain,
$true = $true,
inference(copy,[status(thm)],[5442]) ).
thf(5914,plain,
$true = $true,
inference(copy,[status(thm)],[5441]) ).
thf(5915,plain,
$true = $true,
inference(copy,[status(thm)],[5440]) ).
thf(5916,plain,
$true = $true,
inference(copy,[status(thm)],[5439]) ).
thf(5917,plain,
$true = $true,
inference(copy,[status(thm)],[5438]) ).
thf(5918,plain,
$true = $true,
inference(copy,[status(thm)],[5437]) ).
thf(5919,plain,
$true = $true,
inference(copy,[status(thm)],[5436]) ).
thf(5920,plain,
$true = $true,
inference(copy,[status(thm)],[5435]) ).
thf(5921,plain,
$true = $true,
inference(copy,[status(thm)],[5434]) ).
thf(5922,plain,
$true = $true,
inference(copy,[status(thm)],[5433]) ).
thf(5923,plain,
$true = $true,
inference(copy,[status(thm)],[5432]) ).
thf(5924,plain,
$true = $true,
inference(copy,[status(thm)],[5431]) ).
thf(5925,plain,
$true = $true,
inference(copy,[status(thm)],[5430]) ).
thf(5926,plain,
$true = $true,
inference(copy,[status(thm)],[5429]) ).
thf(5927,plain,
$true = $true,
inference(copy,[status(thm)],[5428]) ).
thf(5928,plain,
$true = $true,
inference(copy,[status(thm)],[5427]) ).
thf(5929,plain,
$true = $true,
inference(copy,[status(thm)],[5426]) ).
thf(5930,plain,
$true = $true,
inference(copy,[status(thm)],[5425]) ).
thf(5931,plain,
$true = $true,
inference(copy,[status(thm)],[5424]) ).
thf(5932,plain,
$true = $true,
inference(copy,[status(thm)],[5423]) ).
thf(5933,plain,
$true = $true,
inference(copy,[status(thm)],[5422]) ).
thf(5934,plain,
$true = $true,
inference(copy,[status(thm)],[5421]) ).
thf(5935,plain,
$true = $true,
inference(copy,[status(thm)],[5420]) ).
thf(5936,plain,
$true = $true,
inference(copy,[status(thm)],[5419]) ).
thf(5937,plain,
$true = $true,
inference(copy,[status(thm)],[5418]) ).
thf(5938,plain,
$true = $true,
inference(copy,[status(thm)],[5417]) ).
thf(5939,plain,
$true = $true,
inference(copy,[status(thm)],[5416]) ).
thf(5940,plain,
$true = $true,
inference(copy,[status(thm)],[5415]) ).
thf(5941,plain,
$true = $true,
inference(copy,[status(thm)],[5414]) ).
thf(5942,plain,
$true = $true,
inference(copy,[status(thm)],[5413]) ).
thf(5943,plain,
$true = $true,
inference(copy,[status(thm)],[5412]) ).
thf(5944,plain,
$true = $true,
inference(copy,[status(thm)],[5411]) ).
thf(5945,plain,
$true = $true,
inference(copy,[status(thm)],[5410]) ).
thf(5946,plain,
$true = $true,
inference(copy,[status(thm)],[5409]) ).
thf(5947,plain,
$true = $true,
inference(copy,[status(thm)],[5408]) ).
thf(5948,plain,
$true = $true,
inference(copy,[status(thm)],[5407]) ).
thf(5949,plain,
$true = $true,
inference(copy,[status(thm)],[5406]) ).
thf(5950,plain,
$true = $true,
inference(copy,[status(thm)],[5405]) ).
thf(5951,plain,
$true = $true,
inference(copy,[status(thm)],[5404]) ).
thf(5952,plain,
$true = $true,
inference(copy,[status(thm)],[5403]) ).
thf(5953,plain,
$true = $true,
inference(copy,[status(thm)],[5402]) ).
thf(5954,plain,
$true = $true,
inference(copy,[status(thm)],[5401]) ).
thf(5955,plain,
$true = $true,
inference(copy,[status(thm)],[5400]) ).
thf(5956,plain,
$true = $true,
inference(copy,[status(thm)],[5399]) ).
thf(5957,plain,
$true = $true,
inference(copy,[status(thm)],[5398]) ).
thf(5958,plain,
$true = $true,
inference(copy,[status(thm)],[5397]) ).
thf(5959,plain,
$true = $true,
inference(copy,[status(thm)],[5396]) ).
thf(5960,plain,
( ( ! [A: $i] :
~ ( v1_xboole_0 @ ( k1_ordinal1 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[5395]) ).
thf(5961,plain,
$true = $true,
inference(copy,[status(thm)],[5394]) ).
thf(5962,plain,
$true = $true,
inference(copy,[status(thm)],[5393]) ).
thf(5963,plain,
( ( ! [A: $i,B: $i,C: $i] :
~ ( ( r2_hidden @ A @ B )
& ( r2_hidden @ B @ C )
& ( r2_hidden @ C @ A ) ) )
= $true ),
inference(copy,[status(thm)],[5392]) ).
thf(5964,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
~ ( ( r2_hidden @ A @ B )
& ( r2_hidden @ B @ C )
& ( r2_hidden @ C @ D )
& ( r2_hidden @ D @ A ) ) )
= $true ),
inference(copy,[status(thm)],[5391]) ).
thf(5965,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
~ ( ( r2_hidden @ A @ B )
& ( r2_hidden @ B @ C )
& ( r2_hidden @ C @ D )
& ( r2_hidden @ D @ E )
& ( r2_hidden @ E @ A ) ) )
= $true ),
inference(copy,[status(thm)],[5390]) ).
thf(5966,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
~ ( ( r2_hidden @ A @ B )
& ( r2_hidden @ B @ C )
& ( r2_hidden @ C @ D )
& ( r2_hidden @ D @ E )
& ( r2_hidden @ E @ F )
& ( r2_hidden @ F @ A ) ) )
= $true ),
inference(copy,[status(thm)],[5389]) ).
thf(5967,plain,
( ( ! [A: $i,B: $i] :
~ ( ( r2_hidden @ A @ B )
& ( r1_tarski @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[5388]) ).
thf(5968,plain,
$true = $true,
inference(copy,[status(thm)],[5387]) ).
thf(5969,plain,
$true = $true,
inference(copy,[status(thm)],[5386]) ).
thf(5970,plain,
( ( ! [A: $i] : ( r2_hidden @ A @ ( k1_ordinal1 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[5385]) ).
thf(5971,plain,
$true = $true,
inference(copy,[status(thm)],[5384]) ).
thf(5972,plain,
( ( ! [A: $i,B: $i] :
( ( r2_hidden @ A @ ( k1_ordinal1 @ B ) )
<=> ( ( r2_hidden @ A @ B )
| ( A = B ) ) ) )
= $true ),
inference(copy,[status(thm)],[5383]) ).
thf(5973,plain,
( ( ! [A: $i] :
( ( v2_ordinal1 @ A )
<=> ! [B: $i,C: $i] :
~ ( ( r2_hidden @ B @ A )
& ( r2_hidden @ C @ A )
& ~ ( r2_hidden @ B @ C )
& ( B != C )
& ~ ( r2_hidden @ C @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[5382]) ).
thf(5974,plain,
$true = $true,
inference(copy,[status(thm)],[5381]) ).
thf(5975,plain,
$true = $true,
inference(copy,[status(thm)],[5380]) ).
thf(5976,plain,
$true = $true,
inference(copy,[status(thm)],[5379]) ).
thf(5977,plain,
$true = $true,
inference(copy,[status(thm)],[5378]) ).
thf(5978,plain,
$true = $true,
inference(copy,[status(thm)],[5377]) ).
thf(5979,plain,
( ( ! [A: $i,B: $i] :
( ( v3_ordinal1 @ B )
=> ( ( r2_hidden @ A @ B )
=> ( v3_ordinal1 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[5376]) ).
thf(5980,plain,
( ( ! [A: $i] :
( ( v3_ordinal1 @ A )
=> ! [B: $i] :
( ( v3_ordinal1 @ B )
=> ~ ( ~ ( r2_hidden @ A @ B )
& ( A != B )
& ~ ( r2_hidden @ B @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[5375]) ).
thf(5981,plain,
( ( v3_ordinal1 @ k1_xboole_0 )
= $true ),
inference(copy,[status(thm)],[5374]) ).
thf(5982,plain,
$true = $true,
inference(copy,[status(thm)],[5373]) ).
thf(5983,plain,
( ( ! [A: $i] :
~ ! [B: $i] :
( ( r2_hidden @ B @ A )
<=> ( v3_ordinal1 @ B ) ) )
= $true ),
inference(copy,[status(thm)],[5372]) ).
thf(5984,plain,
( ( ! [A: $i] :
~ ! [B: $i] :
( ( v3_ordinal1 @ B )
=> ( r2_hidden @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[5371]) ).
thf(5985,plain,
$true = $true,
inference(copy,[status(thm)],[5370]) ).
thf(5986,plain,
$true = $true,
inference(copy,[status(thm)],[5369]) ).
thf(5987,plain,
$true = $true,
inference(copy,[status(thm)],[5368]) ).
thf(5988,plain,
$true = $true,
inference(copy,[status(thm)],[5367]) ).
thf(5989,plain,
( ( ! [A: $i] : ( m1_ordinal1 @ k1_xboole_0 @ A ) )
= $true ),
inference(copy,[status(thm)],[5366]) ).
thf(5990,plain,
$true = $true,
inference(copy,[status(thm)],[5365]) ).
thf(5991,plain,
$true = $true,
inference(copy,[status(thm)],[5364]) ).
thf(5992,plain,
$true = $true,
inference(copy,[status(thm)],[5363]) ).
thf(5993,plain,
$true = $true,
inference(copy,[status(thm)],[5362]) ).
thf(5994,plain,
$true = $true,
inference(copy,[status(thm)],[5361]) ).
thf(5995,plain,
$true = $true,
inference(copy,[status(thm)],[5360]) ).
thf(5996,plain,
$true = $true,
inference(copy,[status(thm)],[5359]) ).
thf(5997,plain,
$true = $true,
inference(copy,[status(thm)],[5358]) ).
thf(5998,plain,
$true = $true,
inference(copy,[status(thm)],[5357]) ).
thf(5999,plain,
( ( ! [A: $i,B: $i] : ( m2_relset_1 @ k1_xboole_0 @ A @ B ) )
= $true ),
inference(copy,[status(thm)],[5356]) ).
thf(6000,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( m2_relset_1 @ C @ A @ B )
=> ( ( m2_relset_1 @ C @ k1_xboole_0 @ B )
=> ( C = k1_xboole_0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[5355]) ).
thf(6001,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( m2_relset_1 @ C @ B @ A )
=> ( ( m2_relset_1 @ C @ B @ k1_xboole_0 )
=> ( C = k1_xboole_0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[5354]) ).
thf(6002,plain,
$true = $true,
inference(copy,[status(thm)],[5353]) ).
thf(6003,plain,
$true = $true,
inference(copy,[status(thm)],[5352]) ).
thf(6004,plain,
$true = $true,
inference(copy,[status(thm)],[5351]) ).
thf(6005,plain,
$true = $true,
inference(copy,[status(thm)],[5350]) ).
thf(6006,plain,
$true = $true,
inference(copy,[status(thm)],[5349]) ).
thf(6007,plain,
$true = $true,
inference(copy,[status(thm)],[5348]) ).
thf(6008,plain,
( ( ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ( ( k6_relat_1 @ A )
!= k1_xboole_0 ) ) )
= $true ),
inference(copy,[status(thm)],[5347]) ).
thf(6009,plain,
$true = $true,
inference(copy,[status(thm)],[5346]) ).
thf(6010,plain,
( ( ! [A: $i,B: $i] :
~ ( v1_xboole_0 @ ( k4_partfun1 @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[5345]) ).
thf(6011,plain,
$true = $true,
inference(copy,[status(thm)],[5344]) ).
thf(6012,plain,
$true = $true,
inference(copy,[status(thm)],[5343]) ).
thf(6013,plain,
$true = $true,
inference(copy,[status(thm)],[5342]) ).
thf(6014,plain,
$true = $true,
inference(copy,[status(thm)],[5341]) ).
thf(6015,plain,
$true = $true,
inference(copy,[status(thm)],[5340]) ).
thf(6016,plain,
$true = $true,
inference(copy,[status(thm)],[5339]) ).
thf(6017,plain,
( ( ( k2_relat_1 @ k1_xboole_0 )
= k1_xboole_0 )
= $true ),
inference(copy,[status(thm)],[5338]) ).
thf(6018,plain,
$true = $true,
inference(copy,[status(thm)],[5337]) ).
thf(6019,plain,
$true = $true,
inference(copy,[status(thm)],[5336]) ).
thf(6020,plain,
$true = $true,
inference(copy,[status(thm)],[5335]) ).
thf(6021,plain,
$true = $true,
inference(copy,[status(thm)],[5334]) ).
thf(6022,plain,
$true = $true,
inference(copy,[status(thm)],[5333]) ).
thf(6023,plain,
$true = $true,
inference(copy,[status(thm)],[5332]) ).
thf(6024,plain,
$true = $true,
inference(copy,[status(thm)],[5331]) ).
thf(6025,plain,
$true = $true,
inference(copy,[status(thm)],[5330]) ).
thf(6026,plain,
$true = $true,
inference(copy,[status(thm)],[5329]) ).
thf(6027,plain,
$true = $true,
inference(copy,[status(thm)],[5328]) ).
thf(6028,plain,
$true = $true,
inference(copy,[status(thm)],[5327]) ).
thf(6029,plain,
$true = $true,
inference(copy,[status(thm)],[5326]) ).
thf(6030,plain,
$true = $true,
inference(copy,[status(thm)],[5325]) ).
thf(6031,plain,
$true = $true,
inference(copy,[status(thm)],[5324]) ).
thf(6032,plain,
$true = $true,
inference(copy,[status(thm)],[5323]) ).
thf(6033,plain,
$true = $true,
inference(copy,[status(thm)],[5322]) ).
thf(6034,plain,
$true = $true,
inference(copy,[status(thm)],[5321]) ).
thf(6035,plain,
$true = $true,
inference(copy,[status(thm)],[5320]) ).
thf(6036,plain,
$true = $true,
inference(copy,[status(thm)],[5319]) ).
thf(6037,plain,
$true = $true,
inference(copy,[status(thm)],[5318]) ).
thf(6038,plain,
$true = $true,
inference(copy,[status(thm)],[5317]) ).
thf(6039,plain,
$true = $true,
inference(copy,[status(thm)],[5316]) ).
thf(6040,plain,
$true = $true,
inference(copy,[status(thm)],[5315]) ).
thf(6041,plain,
$true = $true,
inference(copy,[status(thm)],[5314]) ).
thf(6042,plain,
$true = $true,
inference(copy,[status(thm)],[5313]) ).
thf(6043,plain,
( ( ! [A: $i,B: $i] :
( ( k3_partfun1 @ k1_xboole_0 @ A @ B )
= k1_xboole_0 ) )
= $true ),
inference(copy,[status(thm)],[5312]) ).
thf(6044,plain,
$true = $true,
inference(copy,[status(thm)],[5311]) ).
thf(6045,plain,
$true = $true,
inference(copy,[status(thm)],[5310]) ).
thf(6046,plain,
$true = $true,
inference(copy,[status(thm)],[5309]) ).
thf(6047,plain,
$true = $true,
inference(copy,[status(thm)],[5308]) ).
thf(6048,plain,
$true = $true,
inference(copy,[status(thm)],[5307]) ).
thf(6049,plain,
$true = $true,
inference(copy,[status(thm)],[5306]) ).
thf(6050,plain,
$true = $true,
inference(copy,[status(thm)],[5305]) ).
thf(6051,plain,
$true = $true,
inference(copy,[status(thm)],[5304]) ).
thf(6052,plain,
$true = $true,
inference(copy,[status(thm)],[5303]) ).
thf(6053,plain,
$true = $true,
inference(copy,[status(thm)],[5302]) ).
thf(6054,plain,
$true = $true,
inference(copy,[status(thm)],[5301]) ).
thf(6055,plain,
$true = $true,
inference(copy,[status(thm)],[5300]) ).
thf(6056,plain,
$true = $true,
inference(copy,[status(thm)],[5299]) ).
thf(6057,plain,
$true = $true,
inference(copy,[status(thm)],[5298]) ).
thf(6058,plain,
$true = $true,
inference(copy,[status(thm)],[5297]) ).
thf(6059,plain,
$true = $true,
inference(copy,[status(thm)],[5296]) ).
thf(6060,plain,
$true = $true,
inference(copy,[status(thm)],[5295]) ).
thf(6061,plain,
$true = $true,
inference(copy,[status(thm)],[5294]) ).
thf(6062,plain,
$true = $true,
inference(copy,[status(thm)],[5293]) ).
thf(6063,plain,
$true = $true,
inference(copy,[status(thm)],[5292]) ).
thf(6064,plain,
$true = $true,
inference(copy,[status(thm)],[5291]) ).
thf(6065,plain,
$true = $true,
inference(copy,[status(thm)],[5290]) ).
thf(6066,plain,
$true = $true,
inference(copy,[status(thm)],[5289]) ).
thf(6067,plain,
$true = $true,
inference(copy,[status(thm)],[5288]) ).
thf(6068,plain,
$true = $true,
inference(copy,[status(thm)],[5287]) ).
thf(6069,plain,
$true = $true,
inference(copy,[status(thm)],[5286]) ).
thf(6070,plain,
$true = $true,
inference(copy,[status(thm)],[5285]) ).
thf(6071,plain,
$true = $true,
inference(copy,[status(thm)],[5284]) ).
thf(6072,plain,
$true = $true,
inference(copy,[status(thm)],[5283]) ).
thf(6073,plain,
$true = $true,
inference(copy,[status(thm)],[5282]) ).
thf(6074,plain,
$true = $true,
inference(copy,[status(thm)],[5281]) ).
thf(6075,plain,
$true = $true,
inference(copy,[status(thm)],[5280]) ).
thf(6076,plain,
$true = $true,
inference(copy,[status(thm)],[5279]) ).
thf(6077,plain,
$true = $true,
inference(copy,[status(thm)],[5278]) ).
thf(6078,plain,
$true = $true,
inference(copy,[status(thm)],[5277]) ).
thf(6079,plain,
$true = $true,
inference(copy,[status(thm)],[5276]) ).
thf(6080,plain,
$true = $true,
inference(copy,[status(thm)],[5275]) ).
thf(6081,plain,
$true = $true,
inference(copy,[status(thm)],[5274]) ).
thf(6082,plain,
$true = $true,
inference(copy,[status(thm)],[5273]) ).
thf(6083,plain,
$true = $true,
inference(copy,[status(thm)],[5272]) ).
thf(6084,plain,
$true = $true,
inference(copy,[status(thm)],[5271]) ).
thf(6085,plain,
$true = $true,
inference(copy,[status(thm)],[5270]) ).
thf(6086,plain,
$true = $true,
inference(copy,[status(thm)],[5269]) ).
thf(6087,plain,
$true = $true,
inference(copy,[status(thm)],[5268]) ).
thf(6088,plain,
$true = $true,
inference(copy,[status(thm)],[5267]) ).
thf(6089,plain,
$true = $true,
inference(copy,[status(thm)],[5266]) ).
thf(6090,plain,
$true = $true,
inference(copy,[status(thm)],[5265]) ).
thf(6091,plain,
$true = $true,
inference(copy,[status(thm)],[5264]) ).
thf(6092,plain,
( ( ! [A: $i,B: $i] :
( ~ ( v1_xboole_0 @ B )
=> ~ ( v1_xboole_0 @ ( k1_funct_2 @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[5263]) ).
thf(6093,plain,
( ( ! [A: $i] :
~ ( v1_xboole_0 @ ( k1_funct_2 @ A @ A ) ) )
= $true ),
inference(copy,[status(thm)],[5262]) ).
thf(6094,plain,
$true = $true,
inference(copy,[status(thm)],[5261]) ).
thf(6095,plain,
$true = $true,
inference(copy,[status(thm)],[5260]) ).
thf(6096,plain,
$true = $true,
inference(copy,[status(thm)],[5259]) ).
thf(6097,plain,
$true = $true,
inference(copy,[status(thm)],[5258]) ).
thf(6098,plain,
( ( ! [A: $i] :
( ( A != k1_xboole_0 )
=> ( ( k1_funct_2 @ A @ k1_xboole_0 )
= k1_xboole_0 ) ) )
= $true ),
inference(copy,[status(thm)],[5257]) ).
thf(6099,plain,
$true = $true,
inference(copy,[status(thm)],[5256]) ).
thf(6100,plain,
$true = $true,
inference(copy,[status(thm)],[5255]) ).
thf(6101,plain,
$true = $true,
inference(copy,[status(thm)],[5254]) ).
thf(6102,plain,
$true = $true,
inference(copy,[status(thm)],[5253]) ).
thf(6103,plain,
$true = $true,
inference(copy,[status(thm)],[5252]) ).
thf(6104,plain,
$true = $true,
inference(copy,[status(thm)],[5251]) ).
thf(6105,plain,
$true = $true,
inference(copy,[status(thm)],[5250]) ).
thf(6106,plain,
$true = $true,
inference(copy,[status(thm)],[5249]) ).
thf(6107,plain,
$true = $true,
inference(copy,[status(thm)],[5248]) ).
thf(6108,plain,
$true = $true,
inference(copy,[status(thm)],[5247]) ).
thf(6109,plain,
$true = $true,
inference(copy,[status(thm)],[5246]) ).
thf(6110,plain,
$true = $true,
inference(copy,[status(thm)],[5245]) ).
thf(6111,plain,
$true = $true,
inference(copy,[status(thm)],[5244]) ).
thf(6112,plain,
$true = $true,
inference(copy,[status(thm)],[5243]) ).
thf(6113,plain,
$true = $true,
inference(copy,[status(thm)],[5242]) ).
thf(6114,plain,
$true = $true,
inference(copy,[status(thm)],[5241]) ).
thf(6115,plain,
$true = $true,
inference(copy,[status(thm)],[5240]) ).
thf(6116,plain,
$true = $true,
inference(copy,[status(thm)],[5239]) ).
thf(6117,plain,
$true = $true,
inference(copy,[status(thm)],[5238]) ).
thf(6118,plain,
$true = $true,
inference(copy,[status(thm)],[5237]) ).
thf(6119,plain,
$true = $true,
inference(copy,[status(thm)],[5236]) ).
thf(6120,plain,
$true = $true,
inference(copy,[status(thm)],[5235]) ).
thf(6121,plain,
$true = $true,
inference(copy,[status(thm)],[5234]) ).
thf(6122,plain,
$true = $true,
inference(copy,[status(thm)],[5233]) ).
thf(6123,plain,
$true = $true,
inference(copy,[status(thm)],[5232]) ).
thf(6124,plain,
$true = $true,
inference(copy,[status(thm)],[5231]) ).
thf(6125,plain,
$true = $true,
inference(copy,[status(thm)],[5230]) ).
thf(6126,plain,
$true = $true,
inference(copy,[status(thm)],[5229]) ).
thf(6127,plain,
$true = $true,
inference(copy,[status(thm)],[5228]) ).
thf(6128,plain,
$true = $true,
inference(copy,[status(thm)],[5227]) ).
thf(6129,plain,
$true = $true,
inference(copy,[status(thm)],[5226]) ).
thf(6130,plain,
$true = $true,
inference(copy,[status(thm)],[5225]) ).
thf(6131,plain,
$true = $true,
inference(copy,[status(thm)],[5224]) ).
thf(6132,plain,
$true = $true,
inference(copy,[status(thm)],[5223]) ).
thf(6133,plain,
$true = $true,
inference(copy,[status(thm)],[5222]) ).
thf(6134,plain,
$true = $true,
inference(copy,[status(thm)],[5221]) ).
thf(6135,plain,
$true = $true,
inference(copy,[status(thm)],[5220]) ).
thf(6136,plain,
$true = $true,
inference(copy,[status(thm)],[5219]) ).
thf(6137,plain,
$true = $true,
inference(copy,[status(thm)],[5218]) ).
thf(6138,plain,
$true = $true,
inference(copy,[status(thm)],[5217]) ).
thf(6139,plain,
$true = $true,
inference(copy,[status(thm)],[5216]) ).
thf(6140,plain,
$true = $true,
inference(copy,[status(thm)],[5215]) ).
thf(6141,plain,
$true = $true,
inference(copy,[status(thm)],[5214]) ).
thf(6142,plain,
$true = $true,
inference(copy,[status(thm)],[5213]) ).
thf(6143,plain,
$true = $true,
inference(copy,[status(thm)],[5212]) ).
thf(6144,plain,
$true = $true,
inference(copy,[status(thm)],[5211]) ).
thf(6145,plain,
$true = $true,
inference(copy,[status(thm)],[5210]) ).
thf(6146,plain,
$true = $true,
inference(copy,[status(thm)],[5209]) ).
thf(6147,plain,
$true = $true,
inference(copy,[status(thm)],[5208]) ).
thf(6148,plain,
$true = $true,
inference(copy,[status(thm)],[5207]) ).
thf(6149,plain,
$true = $true,
inference(copy,[status(thm)],[5206]) ).
thf(6150,plain,
$true = $true,
inference(copy,[status(thm)],[5205]) ).
thf(6151,plain,
$true = $true,
inference(copy,[status(thm)],[5204]) ).
thf(6152,plain,
$true = $true,
inference(copy,[status(thm)],[5203]) ).
thf(6153,plain,
$true = $true,
inference(copy,[status(thm)],[5202]) ).
thf(6154,plain,
$true = $true,
inference(copy,[status(thm)],[5201]) ).
thf(6155,plain,
$true = $true,
inference(copy,[status(thm)],[5200]) ).
thf(6156,plain,
$true = $true,
inference(copy,[status(thm)],[5199]) ).
thf(6157,plain,
$true = $true,
inference(copy,[status(thm)],[5198]) ).
thf(6158,plain,
$true = $true,
inference(copy,[status(thm)],[5197]) ).
thf(6159,plain,
$true = $true,
inference(copy,[status(thm)],[5196]) ).
thf(6160,plain,
$true = $true,
inference(copy,[status(thm)],[5195]) ).
thf(6161,plain,
$true = $true,
inference(copy,[status(thm)],[5194]) ).
thf(6162,plain,
$true = $true,
inference(copy,[status(thm)],[5193]) ).
thf(6163,plain,
$true = $true,
inference(copy,[status(thm)],[5192]) ).
thf(6164,plain,
$true = $true,
inference(copy,[status(thm)],[5191]) ).
thf(6165,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( r2_hidden @ B @ A )
=> ( ( k1_funct_1 @ ( k2_funcop_1 @ A @ C ) @ B )
= C ) ) )
= $true ),
inference(copy,[status(thm)],[5190]) ).
thf(6166,plain,
$true = $true,
inference(copy,[status(thm)],[5189]) ).
thf(6167,plain,
$true = $true,
inference(copy,[status(thm)],[5188]) ).
thf(6168,plain,
$true = $true,
inference(copy,[status(thm)],[5187]) ).
thf(6169,plain,
$true = $true,
inference(copy,[status(thm)],[5186]) ).
thf(6170,plain,
$true = $true,
inference(copy,[status(thm)],[5185]) ).
thf(6171,plain,
$true = $true,
inference(copy,[status(thm)],[5184]) ).
thf(6172,plain,
$true = $true,
inference(copy,[status(thm)],[5183]) ).
thf(6173,plain,
$true = $true,
inference(copy,[status(thm)],[5182]) ).
thf(6174,plain,
$true = $true,
inference(copy,[status(thm)],[5181]) ).
thf(6175,plain,
$true = $true,
inference(copy,[status(thm)],[5180]) ).
thf(6176,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ( A != B )
=> ( ( ( k1_funct_1 @ ( k4_funct_4 @ A @ B @ C @ D ) @ A )
= C )
& ( ( k1_funct_1 @ ( k4_funct_4 @ A @ B @ C @ D ) @ B )
= D ) ) ) )
= $true ),
inference(copy,[status(thm)],[5179]) ).
thf(6177,plain,
$true = $true,
inference(copy,[status(thm)],[5178]) ).
thf(6178,plain,
( ( v4_ordinal1 @ k1_xboole_0 )
= $true ),
inference(copy,[status(thm)],[5177]) ).
thf(6179,plain,
$true = $true,
inference(copy,[status(thm)],[5176]) ).
thf(6180,plain,
$true = $true,
inference(copy,[status(thm)],[5175]) ).
thf(6181,plain,
$true = $true,
inference(copy,[status(thm)],[5174]) ).
thf(6182,plain,
$true = $true,
inference(copy,[status(thm)],[5173]) ).
thf(6183,plain,
$true = $true,
inference(copy,[status(thm)],[5172]) ).
thf(6184,plain,
$true = $true,
inference(copy,[status(thm)],[5171]) ).
thf(6185,plain,
$true = $true,
inference(copy,[status(thm)],[5170]) ).
thf(6186,plain,
$true = $true,
inference(copy,[status(thm)],[5169]) ).
thf(6187,plain,
$true = $true,
inference(copy,[status(thm)],[5168]) ).
thf(6188,plain,
$true = $true,
inference(copy,[status(thm)],[5167]) ).
thf(6189,plain,
$true = $true,
inference(copy,[status(thm)],[5166]) ).
thf(6190,plain,
$true = $true,
inference(copy,[status(thm)],[5165]) ).
thf(6191,plain,
$true = $true,
inference(copy,[status(thm)],[5164]) ).
thf(6192,plain,
$true = $true,
inference(copy,[status(thm)],[5163]) ).
thf(6193,plain,
$true = $true,
inference(copy,[status(thm)],[5162]) ).
thf(6194,plain,
$true = $true,
inference(copy,[status(thm)],[5161]) ).
thf(6195,plain,
$true = $true,
inference(copy,[status(thm)],[5160]) ).
thf(6196,plain,
$true = $true,
inference(copy,[status(thm)],[5159]) ).
thf(6197,plain,
$true = $true,
inference(copy,[status(thm)],[5158]) ).
thf(6198,plain,
$true = $true,
inference(copy,[status(thm)],[5157]) ).
thf(6199,plain,
( ( ? [A: $i] :
( ~ ( v1_xboole_0 @ A )
& ( v1_finset_1 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[5156]) ).
thf(6200,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( v1_finset_1 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[5155]) ).
thf(6201,plain,
$true = $true,
inference(copy,[status(thm)],[5154]) ).
thf(6202,plain,
$true = $true,
inference(copy,[status(thm)],[5153]) ).
thf(6203,plain,
$true = $true,
inference(copy,[status(thm)],[5152]) ).
thf(6204,plain,
$true = $true,
inference(copy,[status(thm)],[5151]) ).
thf(6205,plain,
$true = $true,
inference(copy,[status(thm)],[5150]) ).
thf(6206,plain,
$true = $true,
inference(copy,[status(thm)],[5149]) ).
thf(6207,plain,
$true = $true,
inference(copy,[status(thm)],[5148]) ).
thf(6208,plain,
$true = $true,
inference(copy,[status(thm)],[5147]) ).
thf(6209,plain,
$true = $true,
inference(copy,[status(thm)],[5146]) ).
thf(6210,plain,
$true = $true,
inference(copy,[status(thm)],[5145]) ).
thf(6211,plain,
$true = $true,
inference(copy,[status(thm)],[5144]) ).
thf(6212,plain,
$true = $true,
inference(copy,[status(thm)],[5143]) ).
thf(6213,plain,
( ( ? [A: $i] :
( ~ ( v1_xboole_0 @ A )
& ( v1_fraenkel @ A ) ) )
= $true ),
inference(copy,[status(thm)],[5142]) ).
thf(6214,plain,
$true = $true,
inference(copy,[status(thm)],[5141]) ).
thf(6215,plain,
$true = $true,
inference(copy,[status(thm)],[5140]) ).
thf(6216,plain,
$true = $true,
inference(copy,[status(thm)],[5139]) ).
thf(6217,plain,
$true = $true,
inference(copy,[status(thm)],[5138]) ).
thf(6218,plain,
$true = $true,
inference(copy,[status(thm)],[5137]) ).
thf(6219,plain,
$true = $true,
inference(copy,[status(thm)],[5136]) ).
thf(6220,plain,
$true = $true,
inference(copy,[status(thm)],[5135]) ).
thf(6221,plain,
( ( ~ ( v1_xboole_0 @ k1_numbers ) )
= $true ),
inference(copy,[status(thm)],[5134]) ).
thf(6222,plain,
( ( ~ ( v1_xboole_0 @ k2_numbers ) )
= $true ),
inference(copy,[status(thm)],[5133]) ).
thf(6223,plain,
( ( ~ ( v1_xboole_0 @ k3_numbers ) )
= $true ),
inference(copy,[status(thm)],[5132]) ).
thf(6224,plain,
( ( ~ ( v1_xboole_0 @ k4_numbers ) )
= $true ),
inference(copy,[status(thm)],[5131]) ).
thf(6225,plain,
$true = $true,
inference(copy,[status(thm)],[5130]) ).
thf(6226,plain,
$true = $true,
inference(copy,[status(thm)],[5129]) ).
thf(6227,plain,
$true = $true,
inference(copy,[status(thm)],[5128]) ).
thf(6228,plain,
$true = $true,
inference(copy,[status(thm)],[5127]) ).
thf(6229,plain,
$true = $true,
inference(copy,[status(thm)],[5126]) ).
thf(6230,plain,
$true = $true,
inference(copy,[status(thm)],[5125]) ).
thf(6231,plain,
$true = $true,
inference(copy,[status(thm)],[5124]) ).
thf(6232,plain,
$true = $true,
inference(copy,[status(thm)],[5123]) ).
thf(6233,plain,
$true = $true,
inference(copy,[status(thm)],[5122]) ).
thf(6234,plain,
$true = $true,
inference(copy,[status(thm)],[5121]) ).
thf(6235,plain,
$true = $true,
inference(copy,[status(thm)],[5120]) ).
thf(6236,plain,
$true = $true,
inference(copy,[status(thm)],[5119]) ).
thf(6237,plain,
$true = $true,
inference(copy,[status(thm)],[5118]) ).
thf(6238,plain,
$true = $true,
inference(copy,[status(thm)],[5117]) ).
thf(6239,plain,
$true = $true,
inference(copy,[status(thm)],[5116]) ).
thf(6240,plain,
$true = $true,
inference(copy,[status(thm)],[5115]) ).
thf(6241,plain,
$true = $true,
inference(copy,[status(thm)],[5114]) ).
thf(6242,plain,
$true = $true,
inference(copy,[status(thm)],[5113]) ).
thf(6243,plain,
$true = $true,
inference(copy,[status(thm)],[5112]) ).
thf(6244,plain,
$true = $true,
inference(copy,[status(thm)],[5111]) ).
thf(6245,plain,
$true = $true,
inference(copy,[status(thm)],[5110]) ).
thf(6246,plain,
$true = $true,
inference(copy,[status(thm)],[5109]) ).
thf(6247,plain,
$true = $true,
inference(copy,[status(thm)],[5108]) ).
thf(6248,plain,
$true = $true,
inference(copy,[status(thm)],[5107]) ).
thf(6249,plain,
$true = $true,
inference(copy,[status(thm)],[5106]) ).
thf(6250,plain,
$true = $true,
inference(copy,[status(thm)],[5105]) ).
thf(6251,plain,
$true = $true,
inference(copy,[status(thm)],[5104]) ).
thf(6252,plain,
$true = $true,
inference(copy,[status(thm)],[5103]) ).
thf(6253,plain,
$true = $true,
inference(copy,[status(thm)],[5102]) ).
thf(6254,plain,
$true = $true,
inference(copy,[status(thm)],[5101]) ).
thf(6255,plain,
$true = $true,
inference(copy,[status(thm)],[5100]) ).
thf(6256,plain,
$true = $true,
inference(copy,[status(thm)],[5099]) ).
thf(6257,plain,
$true = $true,
inference(copy,[status(thm)],[5098]) ).
thf(6258,plain,
$true = $true,
inference(copy,[status(thm)],[5097]) ).
thf(6259,plain,
$true = $true,
inference(copy,[status(thm)],[5096]) ).
thf(6260,plain,
$true = $true,
inference(copy,[status(thm)],[5095]) ).
thf(6261,plain,
$true = $true,
inference(copy,[status(thm)],[5094]) ).
thf(6262,plain,
$true = $true,
inference(copy,[status(thm)],[5093]) ).
thf(6263,plain,
$true = $true,
inference(copy,[status(thm)],[5092]) ).
thf(6264,plain,
$true = $true,
inference(copy,[status(thm)],[5091]) ).
thf(6265,plain,
$true = $true,
inference(copy,[status(thm)],[5090]) ).
thf(6266,plain,
$true = $true,
inference(copy,[status(thm)],[5089]) ).
thf(6267,plain,
$true = $true,
inference(copy,[status(thm)],[5088]) ).
thf(6268,plain,
$true = $true,
inference(copy,[status(thm)],[5087]) ).
thf(6269,plain,
$true = $true,
inference(copy,[status(thm)],[5086]) ).
thf(6270,plain,
$true = $true,
inference(copy,[status(thm)],[5085]) ).
thf(6271,plain,
$true = $true,
inference(copy,[status(thm)],[5084]) ).
thf(6272,plain,
$true = $true,
inference(copy,[status(thm)],[5083]) ).
thf(6273,plain,
$true = $true,
inference(copy,[status(thm)],[5082]) ).
thf(6274,plain,
$true = $true,
inference(copy,[status(thm)],[5081]) ).
thf(6275,plain,
$true = $true,
inference(copy,[status(thm)],[5080]) ).
thf(6276,plain,
$true = $true,
inference(copy,[status(thm)],[5079]) ).
thf(6277,plain,
$true = $true,
inference(copy,[status(thm)],[5078]) ).
thf(6278,plain,
( ( ! [A: $i] :
( ( r2_wellord2 @ A @ k1_xboole_0 )
<=> ( A = k1_xboole_0 ) ) )
= $true ),
inference(copy,[status(thm)],[5077]) ).
thf(6279,plain,
( ( ( k1_card_1 @ k1_xboole_0 )
= k1_xboole_0 )
= $true ),
inference(copy,[status(thm)],[5076]) ).
thf(6280,plain,
( ( np__0 = k1_xboole_0 )
= $true ),
inference(copy,[status(thm)],[5075]) ).
thf(6281,plain,
$true = $true,
inference(copy,[status(thm)],[5074]) ).
thf(6282,plain,
$true = $true,
inference(copy,[status(thm)],[5073]) ).
thf(6283,plain,
$true = $true,
inference(copy,[status(thm)],[5072]) ).
thf(6284,plain,
$true = $true,
inference(copy,[status(thm)],[5071]) ).
thf(6285,plain,
$true = $true,
inference(copy,[status(thm)],[5070]) ).
thf(6286,plain,
$true = $true,
inference(copy,[status(thm)],[5069]) ).
thf(6287,plain,
$true = $true,
inference(copy,[status(thm)],[5068]) ).
thf(6288,plain,
$true = $true,
inference(copy,[status(thm)],[5067]) ).
thf(6289,plain,
$true = $true,
inference(copy,[status(thm)],[5066]) ).
thf(6290,plain,
$true = $true,
inference(copy,[status(thm)],[5065]) ).
thf(6291,plain,
$true = $true,
inference(copy,[status(thm)],[5064]) ).
thf(6292,plain,
$true = $true,
inference(copy,[status(thm)],[5063]) ).
thf(6293,plain,
$true = $true,
inference(copy,[status(thm)],[5062]) ).
thf(6294,plain,
( ( ! [A: $i] :
~ ( v1_xboole_0 @ ( k13_finseq_1 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[5061]) ).
thf(6295,plain,
$true = $true,
inference(copy,[status(thm)],[5060]) ).
thf(6296,plain,
$true = $true,
inference(copy,[status(thm)],[5059]) ).
thf(6297,plain,
$true = $true,
inference(copy,[status(thm)],[5058]) ).
thf(6298,plain,
$true = $true,
inference(copy,[status(thm)],[5057]) ).
thf(6299,plain,
$true = $true,
inference(copy,[status(thm)],[5056]) ).
thf(6300,plain,
( ( ! [A: $i] : ( m2_finseq_1 @ k1_xboole_0 @ A ) )
= $true ),
inference(copy,[status(thm)],[5055]) ).
thf(6301,plain,
( ( ! [A: $i] :
( ( k6_finseq_1 @ A )
= k1_xboole_0 ) )
= $true ),
inference(copy,[status(thm)],[5054]) ).
thf(6302,plain,
$true = $true,
inference(copy,[status(thm)],[5053]) ).
thf(6303,plain,
$true = $true,
inference(copy,[status(thm)],[5052]) ).
thf(6304,plain,
$true = $true,
inference(copy,[status(thm)],[5051]) ).
thf(6305,plain,
$true = $true,
inference(copy,[status(thm)],[5050]) ).
thf(6306,plain,
$true = $true,
inference(copy,[status(thm)],[5049]) ).
thf(6307,plain,
$true = $true,
inference(copy,[status(thm)],[5048]) ).
thf(6308,plain,
$true = $true,
inference(copy,[status(thm)],[5047]) ).
thf(6309,plain,
( ( ! [A: $i] : ( r2_hidden @ k1_xboole_0 @ ( k13_finseq_1 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[5046]) ).
thf(6310,plain,
$true = $true,
inference(copy,[status(thm)],[5045]) ).
thf(6311,plain,
$true = $true,
inference(copy,[status(thm)],[5044]) ).
thf(6312,plain,
$true = $true,
inference(copy,[status(thm)],[5043]) ).
thf(6313,plain,
$true = $true,
inference(copy,[status(thm)],[5042]) ).
thf(6314,plain,
$true = $true,
inference(copy,[status(thm)],[5041]) ).
thf(6315,plain,
$true = $true,
inference(copy,[status(thm)],[5040]) ).
thf(6316,plain,
$true = $true,
inference(copy,[status(thm)],[5039]) ).
thf(6317,plain,
( ( ! [A: $i] :
? [B: $i] :
( ( m1_finseq_2 @ B @ A )
& ~ ( v1_xboole_0 @ B ) ) )
= $true ),
inference(copy,[status(thm)],[5038]) ).
thf(6318,plain,
$true = $true,
inference(copy,[status(thm)],[5037]) ).
thf(6319,plain,
$true = $true,
inference(copy,[status(thm)],[5036]) ).
thf(6320,plain,
$true = $true,
inference(copy,[status(thm)],[5035]) ).
thf(6321,plain,
$true = $true,
inference(copy,[status(thm)],[5034]) ).
thf(6322,plain,
$true = $true,
inference(copy,[status(thm)],[5033]) ).
thf(6323,plain,
$true = $true,
inference(copy,[status(thm)],[5032]) ).
thf(6324,plain,
$true = $true,
inference(copy,[status(thm)],[5031]) ).
thf(6325,plain,
$true = $true,
inference(copy,[status(thm)],[5030]) ).
thf(6326,plain,
$true = $true,
inference(copy,[status(thm)],[5029]) ).
thf(6327,plain,
$true = $true,
inference(copy,[status(thm)],[5028]) ).
thf(6328,plain,
$true = $true,
inference(copy,[status(thm)],[5027]) ).
thf(6329,plain,
$true = $true,
inference(copy,[status(thm)],[5026]) ).
thf(6330,plain,
$true = $true,
inference(copy,[status(thm)],[5025]) ).
thf(6331,plain,
$true = $true,
inference(copy,[status(thm)],[5024]) ).
thf(6332,plain,
$true = $true,
inference(copy,[status(thm)],[5023]) ).
thf(6333,plain,
$true = $true,
inference(copy,[status(thm)],[5022]) ).
thf(6334,plain,
( ( ( k1_card_3 @ k1_xboole_0 )
= k1_xboole_0 )
= $true ),
inference(copy,[status(thm)],[5021]) ).
thf(6335,plain,
( ( ( k2_card_3 @ k1_xboole_0 )
= k1_xboole_0 )
= $true ),
inference(copy,[status(thm)],[5020]) ).
thf(6336,plain,
( ( ( k3_card_3 @ k1_xboole_0 )
= k1_xboole_0 )
= $true ),
inference(copy,[status(thm)],[5019]) ).
thf(6337,plain,
$true = $true,
inference(copy,[status(thm)],[5018]) ).
thf(6338,plain,
$true = $true,
inference(copy,[status(thm)],[5017]) ).
thf(6339,plain,
( ( ! [A: $i] :
( ( k5_card_3 @ A @ k1_xboole_0 )
= k1_xboole_0 ) )
= $true ),
inference(copy,[status(thm)],[5016]) ).
thf(6340,plain,
$true = $true,
inference(copy,[status(thm)],[5015]) ).
thf(6341,plain,
$true = $true,
inference(copy,[status(thm)],[5014]) ).
thf(6342,plain,
$true = $true,
inference(copy,[status(thm)],[5013]) ).
thf(6343,plain,
$true = $true,
inference(copy,[status(thm)],[5012]) ).
thf(6344,plain,
$true = $true,
inference(copy,[status(thm)],[5011]) ).
thf(6345,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ( v2_relat_1 @ B )
& ( m1_pboole @ B @ A )
& ( m1_subset_1 @ C @ A ) )
=> ~ ( v1_xboole_0 @ ( k1_funct_1 @ B @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[5010]) ).
thf(6346,plain,
$true = $true,
inference(copy,[status(thm)],[5009]) ).
thf(6347,plain,
$true = $true,
inference(copy,[status(thm)],[5008]) ).
thf(6348,plain,
( ( ! [A: $i,B: $i] :
( ( m1_pboole @ B @ A )
=> ! [C: $i] :
( ( m1_pboole @ C @ A )
=> ( ( r1_pboole @ A @ B @ C )
<=> ! [D: $i] :
( ( r2_hidden @ D @ A )
=> ( r2_hidden @ ( k1_funct_1 @ B @ D ) @ ( k1_funct_1 @ C @ D ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[5007]) ).
thf(6349,plain,
( ( ! [A: $i,B: $i] :
( ( m1_pboole @ B @ A )
=> ! [C: $i] :
( ( m1_pboole @ C @ A )
=> ( ! [D: $i] :
( ( r2_hidden @ D @ A )
=> ( ( k1_funct_1 @ B @ D )
= ( k1_funct_1 @ C @ D ) ) )
=> ( B = C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[5006]) ).
thf(6350,plain,
( ( ! [A: $i,B: $i] :
( ( k1_funct_1 @ ( k1_pboole @ B ) @ A )
= k1_xboole_0 ) )
= $true ),
inference(copy,[status(thm)],[5005]) ).
thf(6351,plain,
( ( ! [A: $i,B: $i] :
( ( m1_pboole @ B @ A )
=> ( ! [C: $i] :
( ( r2_hidden @ C @ A )
=> ( ( k1_funct_1 @ B @ C )
= k1_xboole_0 ) )
=> ( B
= ( k1_pboole @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[5004]) ).
thf(6352,plain,
$true = $true,
inference(copy,[status(thm)],[5003]) ).
thf(6353,plain,
$true = $true,
inference(copy,[status(thm)],[5002]) ).
thf(6354,plain,
( ( ! [A: $i,B: $i] :
( ( m1_pboole @ B @ A )
=> ! [C: $i] :
( ( m1_pboole @ C @ A )
=> ! [D: $i] :
( ( m1_pboole @ D @ A )
=> ( ( ( r2_pboole @ A @ B @ C )
& ( r2_pboole @ A @ C @ D ) )
=> ( r2_pboole @ A @ B @ D ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[5001]) ).
thf(6355,plain,
$true = $true,
inference(copy,[status(thm)],[5000]) ).
thf(6356,plain,
$true = $true,
inference(copy,[status(thm)],[4999]) ).
thf(6357,plain,
$true = $true,
inference(copy,[status(thm)],[4998]) ).
thf(6358,plain,
$true = $true,
inference(copy,[status(thm)],[4997]) ).
thf(6359,plain,
$true = $true,
inference(copy,[status(thm)],[4996]) ).
thf(6360,plain,
$true = $true,
inference(copy,[status(thm)],[4995]) ).
thf(6361,plain,
$true = $true,
inference(copy,[status(thm)],[4994]) ).
thf(6362,plain,
$true = $true,
inference(copy,[status(thm)],[4993]) ).
thf(6363,plain,
$true = $true,
inference(copy,[status(thm)],[4992]) ).
thf(6364,plain,
$true = $true,
inference(copy,[status(thm)],[4991]) ).
thf(6365,plain,
( ( ! [A: $i,B: $i] :
( ( m1_pboole @ B @ A )
=> ! [C: $i] :
( ( m1_pboole @ C @ A )
=> ! [D: $i] :
( ( m1_pboole @ D @ A )
=> ( ( ( r7_pboole @ A @ B @ C )
& ( r7_pboole @ A @ C @ D ) )
=> ( r7_pboole @ A @ B @ D ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[4990]) ).
thf(6366,plain,
( ( ! [A: $i] :
( ( m1_pboole @ A @ k1_xboole_0 )
=> ( A = k1_xboole_0 ) ) )
= $true ),
inference(copy,[status(thm)],[4989]) ).
thf(6367,plain,
( ( ! [A: $i,B: $i] :
( ( m1_pboole @ B @ A )
=> ( ( v3_relat_1 @ B )
<=> ! [C: $i] :
( ( r2_hidden @ C @ A )
=> ( v1_xboole_0 @ ( k1_funct_1 @ B @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[4988]) ).
thf(6368,plain,
( ( ! [A: $i,B: $i] :
( ( m1_pboole @ B @ A )
=> ( ( v2_relat_1 @ B )
<=> ! [C: $i] :
~ ( ( r2_hidden @ C @ A )
& ( v1_xboole_0 @ ( k1_funct_1 @ B @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[4987]) ).
thf(6369,plain,
( ( ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ! [B: $i] :
( ( m1_pboole @ B @ A )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( k2_relat_1 @ B ) )
=> ? [D: $i] :
( ( r2_hidden @ D @ A )
& ( C
= ( k1_funct_1 @ B @ D ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[4986]) ).
thf(6370,plain,
( ( ! [A: $i,B: $i] :
( ( m1_pboole @ B @ A )
=> ! [C: $i] :
( ( r2_hidden @ C @ A )
=> ( m1_subset_1 @ ( k1_funct_1 @ B @ C ) @ ( k2_relat_1 @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[4985]) ).
thf(6371,plain,
( ( ! [A: $i,B: $i] :
( ( m1_pboole @ B @ A )
=> ! [C: $i] :
( ( m1_pboole @ C @ A )
=> ( ( m2_pboole @ C @ A @ B )
<=> ! [D: $i] :
( ( r2_hidden @ D @ A )
=> ( m1_subset_1 @ ( k1_funct_1 @ C @ D ) @ ( k1_funct_1 @ B @ D ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[4984]) ).
thf(6372,plain,
( ( ! [A: $i] :
? [B: $i] : ( m1_pboole @ B @ A ) )
= $true ),
inference(copy,[status(thm)],[4983]) ).
thf(6373,plain,
( ( ! [A: $i,B: $i] :
( ( m1_pboole @ B @ A )
=> ! [C: $i] :
( ( m2_pboole @ C @ A @ B )
=> ( m1_pboole @ C @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[4982]) ).
thf(6374,plain,
( ( ! [A: $i,B: $i] :
( ( m1_pboole @ B @ A )
=> ? [C: $i] : ( m2_pboole @ C @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[4981]) ).
thf(6375,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ! [D: $i] :
( ( m3_pboole @ D @ A @ B @ C )
=> ( m1_pboole @ D @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[4980]) ).
thf(6376,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ? [D: $i] : ( m3_pboole @ D @ A @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[4979]) ).
thf(6377,plain,
( ( ! [A: $i,B: $i] :
( ( m1_pboole @ B @ A )
=> ! [C: $i] :
( ( m4_pboole @ C @ A @ B )
=> ( m1_pboole @ C @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[4978]) ).
thf(6378,plain,
( ( ! [A: $i,B: $i] :
( ( m1_pboole @ B @ A )
=> ? [C: $i] : ( m4_pboole @ C @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[4977]) ).
thf(6379,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ( r2_pboole @ A @ B @ B ) ) )
= $true ),
inference(copy,[status(thm)],[4976]) ).
thf(6380,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ( ( r3_pboole @ A @ B @ C )
=> ~ ( r3_pboole @ A @ C @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[4975]) ).
thf(6381,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ( ( r4_pboole @ A @ B @ C )
=> ( r4_pboole @ A @ C @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[4974]) ).
thf(6382,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ( ( r5_pboole @ A @ B @ C )
=> ( r5_pboole @ A @ C @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[4973]) ).
thf(6383,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ( ( r6_pboole @ A @ B @ C )
=> ( r6_pboole @ A @ C @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[4972]) ).
thf(6384,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ( r6_pboole @ A @ B @ B ) ) )
= $true ),
inference(copy,[status(thm)],[4971]) ).
thf(6385,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ( ( r6_pboole @ A @ B @ C )
<=> ( B = C ) ) ) )
= $true ),
inference(copy,[status(thm)],[4970]) ).
thf(6386,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ( r7_pboole @ A @ B @ B ) ) )
= $true ),
inference(copy,[status(thm)],[4969]) ).
thf(6387,plain,
( ( ! [A: $i] : ( m1_pboole @ ( k1_pboole @ A ) @ A ) )
= $true ),
inference(copy,[status(thm)],[4968]) ).
thf(6388,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ( m1_pboole @ ( k2_pboole @ A @ B @ C ) @ A ) ) )
= $true ),
inference(copy,[status(thm)],[4967]) ).
thf(6389,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ( ( k2_pboole @ A @ B @ C )
= ( k2_pboole @ A @ C @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[4966]) ).
thf(6390,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ( ( k2_pboole @ A @ B @ B )
= B ) ) )
= $true ),
inference(copy,[status(thm)],[4965]) ).
thf(6391,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ( m1_pboole @ ( k3_pboole @ A @ B @ C ) @ A ) ) )
= $true ),
inference(copy,[status(thm)],[4964]) ).
thf(6392,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ( ( k3_pboole @ A @ B @ C )
= ( k3_pboole @ A @ C @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[4963]) ).
thf(6393,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ( ( k3_pboole @ A @ B @ B )
= B ) ) )
= $true ),
inference(copy,[status(thm)],[4962]) ).
thf(6394,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ( m1_pboole @ ( k4_pboole @ A @ B @ C ) @ A ) ) )
= $true ),
inference(copy,[status(thm)],[4961]) ).
thf(6395,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ( m1_pboole @ ( k5_pboole @ A @ B @ C ) @ A ) ) )
= $true ),
inference(copy,[status(thm)],[4960]) ).
thf(6396,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ( ( k5_pboole @ A @ B @ C )
= ( k5_pboole @ A @ C @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[4959]) ).
thf(6397,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ( m1_pboole @ ( k11_pboole @ A @ B @ C ) @ A ) ) )
= $true ),
inference(copy,[status(thm)],[4958]) ).
thf(6398,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( m1_pboole @ B @ A )
& ( m1_pboole @ C @ A ) )
=> ( m1_pboole @ ( k12_pboole @ A @ B @ C ) @ A ) ) )
= $true ),
inference(copy,[status(thm)],[4957]) ).
thf(6399,plain,
$true = $true,
inference(copy,[status(thm)],[4956]) ).
thf(6400,plain,
$true = $true,
inference(copy,[status(thm)],[4955]) ).
thf(6401,plain,
$true = $true,
inference(copy,[status(thm)],[4954]) ).
thf(6402,plain,
$true = $true,
inference(copy,[status(thm)],[4953]) ).
thf(6403,plain,
$true = $true,
inference(copy,[status(thm)],[4952]) ).
thf(6404,plain,
$true = $true,
inference(copy,[status(thm)],[4951]) ).
thf(6405,plain,
$true = $true,
inference(copy,[status(thm)],[4950]) ).
thf(6406,plain,
$true = $true,
inference(copy,[status(thm)],[4949]) ).
thf(6407,plain,
$true = $true,
inference(copy,[status(thm)],[4948]) ).
thf(6408,plain,
$true = $true,
inference(copy,[status(thm)],[4947]) ).
thf(6409,plain,
$true = $true,
inference(copy,[status(thm)],[4946]) ).
thf(6410,plain,
$true = $true,
inference(copy,[status(thm)],[4945]) ).
thf(6411,plain,
$true = $true,
inference(copy,[status(thm)],[4944]) ).
thf(6412,plain,
( ( ? [A: $i] :
( ~ ( v1_xboole_0 @ A )
& ( v1_realset1 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[4943]) ).
thf(6413,plain,
( ( ? [A: $i] :
( ~ ( v1_xboole_0 @ A )
& ~ ( v1_realset1 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[4942]) ).
thf(6414,plain,
( ( ! [A: $i] :
( ~ ( v1_realset1 @ A )
=> ~ ( v1_xboole_0 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[4941]) ).
thf(6415,plain,
( ( ! [A: $i] :
( ~ ( ~ ( v1_realset1 @ A )
& ! [B: $i,C: $i] :
~ ( ( r2_hidden @ B @ A )
& ( r2_hidden @ C @ A )
& ( B != C ) ) )
& ~ ( ? [B: $i,C: $i] :
( ( r2_hidden @ B @ A )
& ( r2_hidden @ C @ A )
& ( B != C ) )
& ( v1_realset1 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[4940]) ).
thf(6416,plain,
( ( ! [A: $i,B: $i] :
( ( m1_subset_1 @ B @ A )
=> ? [C: $i] : ( m3_realset1 @ C @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[4939]) ).
thf(6417,plain,
$true = $true,
inference(copy,[status(thm)],[4938]) ).
thf(6418,plain,
$true = $true,
inference(copy,[status(thm)],[4937]) ).
thf(6419,plain,
( ( ( k4_funct_6 @ k1_xboole_0 )
= k1_xboole_0 )
= $true ),
inference(copy,[status(thm)],[4936]) ).
thf(6420,plain,
( ( ! [A: $i] :
( ( k8_funct_6 @ k1_xboole_0 @ A )
= k1_xboole_0 ) )
= $true ),
inference(copy,[status(thm)],[4935]) ).
thf(6421,plain,
( ( ! [A: $i] :
( ( k9_funct_6 @ A @ k1_xboole_0 )
= k1_xboole_0 ) )
= $true ),
inference(copy,[status(thm)],[4934]) ).
thf(6422,plain,
$true = $true,
inference(copy,[status(thm)],[4933]) ).
thf(6423,plain,
$true = $true,
inference(copy,[status(thm)],[4932]) ).
thf(6424,plain,
( ( ( k10_funct_6 @ k1_xboole_0 )
= k1_xboole_0 )
= $true ),
inference(copy,[status(thm)],[4931]) ).
thf(6425,plain,
$true = $true,
inference(copy,[status(thm)],[4930]) ).
thf(6426,plain,
$true = $true,
inference(copy,[status(thm)],[4929]) ).
thf(6427,plain,
$true = $true,
inference(copy,[status(thm)],[4928]) ).
thf(6428,plain,
$true = $true,
inference(copy,[status(thm)],[4927]) ).
thf(6429,plain,
$true = $true,
inference(copy,[status(thm)],[4926]) ).
thf(6430,plain,
( ( ! [A: $i,B: $i] : ( m1_pboole @ ( k2_pre_circ @ A @ B ) @ A ) )
= $true ),
inference(copy,[status(thm)],[4925]) ).
thf(6431,plain,
$true = $true,
inference(copy,[status(thm)],[4924]) ).
thf(6432,plain,
( ( ! [A: $i,B: $i] :
( ( m1_pboole @ B @ A )
=> ( m1_pboole @ ( k1_mboolean @ A @ B ) @ A ) ) )
= $true ),
inference(copy,[status(thm)],[4923]) ).
thf(6433,plain,
( ( ! [A: $i,B: $i] :
( ( m1_pboole @ B @ A )
=> ( m1_pboole @ ( k2_mboolean @ A @ B ) @ A ) ) )
= $true ),
inference(copy,[status(thm)],[4922]) ).
thf(6434,plain,
$true = $true,
inference(copy,[status(thm)],[4921]) ).
thf(6435,plain,
$true = $true,
inference(copy,[status(thm)],[4920]) ).
thf(6436,plain,
$true = $true,
inference(copy,[status(thm)],[4919]) ).
thf(6437,plain,
( ( ! [A: $i,B: $i] :
( ( m1_subset_1 @ B @ A )
=> ! [C: $i,D: $i] :
( ( ( g2_struct_0 @ A @ B )
= ( g2_struct_0 @ C @ D ) )
=> ( ( A = C )
& ( B = D ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[4918]) ).
thf(6438,plain,
$true = $true,
inference(copy,[status(thm)],[4917]) ).
thf(6439,plain,
$true = $true,
inference(copy,[status(thm)],[4916]) ).
thf(6440,plain,
$true = $true,
inference(copy,[status(thm)],[4915]) ).
thf(6441,plain,
$true = $true,
inference(copy,[status(thm)],[4914]) ).
thf(6442,plain,
$true = $true,
inference(copy,[status(thm)],[4913]) ).
thf(6443,plain,
$true = $true,
inference(copy,[status(thm)],[4912]) ).
thf(6444,plain,
$true = $true,
inference(copy,[status(thm)],[4911]) ).
thf(6445,plain,
$true = $true,
inference(copy,[status(thm)],[4910]) ).
thf(6446,plain,
$true = $true,
inference(copy,[status(thm)],[4909]) ).
thf(6447,plain,
$true = $true,
inference(copy,[status(thm)],[4908]) ).
thf(6448,plain,
$true = $true,
inference(copy,[status(thm)],[4907]) ).
thf(6449,plain,
$true = $true,
inference(copy,[status(thm)],[4906]) ).
thf(6450,plain,
$true = $true,
inference(copy,[status(thm)],[4905]) ).
thf(6451,plain,
$true = $true,
inference(copy,[status(thm)],[4904]) ).
thf(6452,plain,
$true = $true,
inference(copy,[status(thm)],[4903]) ).
thf(6453,plain,
$true = $true,
inference(copy,[status(thm)],[4902]) ).
thf(6454,plain,
$true = $true,
inference(copy,[status(thm)],[4901]) ).
thf(6455,plain,
$true = $true,
inference(copy,[status(thm)],[4900]) ).
thf(6456,plain,
$true = $true,
inference(copy,[status(thm)],[4899]) ).
thf(6457,plain,
$true = $true,
inference(copy,[status(thm)],[4898]) ).
thf(6458,plain,
$true = $true,
inference(copy,[status(thm)],[4897]) ).
thf(6459,plain,
$true = $true,
inference(copy,[status(thm)],[4896]) ).
thf(6460,plain,
$true = $true,
inference(copy,[status(thm)],[4895]) ).
thf(6461,plain,
$true = $true,
inference(copy,[status(thm)],[4894]) ).
thf(6462,plain,
$true = $true,
inference(copy,[status(thm)],[4893]) ).
thf(6463,plain,
$true = $true,
inference(copy,[status(thm)],[4892]) ).
thf(6464,plain,
$true = $true,
inference(copy,[status(thm)],[4891]) ).
thf(6465,plain,
$true = $true,
inference(copy,[status(thm)],[4890]) ).
thf(6466,plain,
$true = $true,
inference(copy,[status(thm)],[4889]) ).
thf(6467,plain,
$true = $true,
inference(copy,[status(thm)],[4888]) ).
thf(6468,plain,
$true = $true,
inference(copy,[status(thm)],[4887]) ).
thf(6469,plain,
$true = $true,
inference(copy,[status(thm)],[4886]) ).
thf(6470,plain,
$true = $true,
inference(copy,[status(thm)],[4885]) ).
thf(6471,plain,
$true = $true,
inference(copy,[status(thm)],[4884]) ).
thf(6472,plain,
$true = $true,
inference(copy,[status(thm)],[4883]) ).
thf(6473,plain,
$true = $true,
inference(copy,[status(thm)],[4882]) ).
thf(6474,plain,
$true = $true,
inference(copy,[status(thm)],[4881]) ).
thf(6475,plain,
$true = $true,
inference(copy,[status(thm)],[4880]) ).
thf(6476,plain,
$true = $true,
inference(copy,[status(thm)],[4879]) ).
thf(6477,plain,
$true = $true,
inference(copy,[status(thm)],[4878]) ).
thf(6478,plain,
$true = $true,
inference(copy,[status(thm)],[4877]) ).
thf(6479,plain,
$true = $true,
inference(copy,[status(thm)],[4876]) ).
thf(6480,plain,
$true = $true,
inference(copy,[status(thm)],[4875]) ).
thf(6481,plain,
$true = $true,
inference(copy,[status(thm)],[4874]) ).
thf(6482,plain,
$true = $true,
inference(copy,[status(thm)],[4873]) ).
thf(6483,plain,
$true = $true,
inference(copy,[status(thm)],[4872]) ).
thf(6484,plain,
$true = $true,
inference(copy,[status(thm)],[4871]) ).
thf(6485,plain,
$true = $true,
inference(copy,[status(thm)],[4870]) ).
thf(6486,plain,
$true = $true,
inference(copy,[status(thm)],[4869]) ).
thf(6487,plain,
$true = $true,
inference(copy,[status(thm)],[4868]) ).
thf(6488,plain,
$true = $true,
inference(copy,[status(thm)],[4867]) ).
thf(6489,plain,
$true = $true,
inference(copy,[status(thm)],[4866]) ).
thf(6490,plain,
$true = $true,
inference(copy,[status(thm)],[4865]) ).
thf(6491,plain,
$true = $true,
inference(copy,[status(thm)],[4864]) ).
thf(6492,plain,
$true = $true,
inference(copy,[status(thm)],[4863]) ).
thf(6493,plain,
$true = $true,
inference(copy,[status(thm)],[4862]) ).
thf(6494,plain,
$true = $true,
inference(copy,[status(thm)],[4861]) ).
thf(6495,plain,
$true = $true,
inference(copy,[status(thm)],[4860]) ).
thf(6496,plain,
$true = $true,
inference(copy,[status(thm)],[4859]) ).
thf(6497,plain,
$true = $true,
inference(copy,[status(thm)],[4858]) ).
thf(6498,plain,
$true = $true,
inference(copy,[status(thm)],[4857]) ).
thf(6499,plain,
$true = $true,
inference(copy,[status(thm)],[4856]) ).
thf(6500,plain,
$true = $true,
inference(copy,[status(thm)],[4855]) ).
thf(6501,plain,
$true = $true,
inference(copy,[status(thm)],[4854]) ).
thf(6502,plain,
$true = $true,
inference(copy,[status(thm)],[4853]) ).
thf(6503,plain,
$true = $true,
inference(copy,[status(thm)],[4852]) ).
thf(6504,plain,
$true = $true,
inference(copy,[status(thm)],[4851]) ).
thf(6505,plain,
$true = $true,
inference(copy,[status(thm)],[4850]) ).
thf(6506,plain,
$true = $true,
inference(copy,[status(thm)],[4849]) ).
thf(6507,plain,
$true = $true,
inference(copy,[status(thm)],[4848]) ).
thf(6508,plain,
$true = $true,
inference(copy,[status(thm)],[4847]) ).
thf(6509,plain,
$true = $true,
inference(copy,[status(thm)],[4846]) ).
thf(6510,plain,
$true = $true,
inference(copy,[status(thm)],[4845]) ).
thf(6511,plain,
$true = $true,
inference(copy,[status(thm)],[4844]) ).
thf(6512,plain,
$true = $true,
inference(copy,[status(thm)],[4843]) ).
thf(6513,plain,
$true = $true,
inference(copy,[status(thm)],[4842]) ).
thf(6514,plain,
$true = $true,
inference(copy,[status(thm)],[4841]) ).
thf(6515,plain,
$true = $true,
inference(copy,[status(thm)],[4840]) ).
thf(6516,plain,
$true = $true,
inference(copy,[status(thm)],[4839]) ).
thf(6517,plain,
$true = $true,
inference(copy,[status(thm)],[4838]) ).
thf(6518,plain,
$true = $true,
inference(copy,[status(thm)],[4837]) ).
thf(6519,plain,
$true = $true,
inference(copy,[status(thm)],[4836]) ).
thf(6520,plain,
$true = $true,
inference(copy,[status(thm)],[4835]) ).
thf(6521,plain,
$true = $true,
inference(copy,[status(thm)],[4834]) ).
thf(6522,plain,
$true = $true,
inference(copy,[status(thm)],[4833]) ).
thf(6523,plain,
$true = $true,
inference(copy,[status(thm)],[4832]) ).
thf(6524,plain,
$true = $true,
inference(copy,[status(thm)],[4831]) ).
thf(6525,plain,
$true = $true,
inference(copy,[status(thm)],[4830]) ).
thf(6526,plain,
$true = $true,
inference(copy,[status(thm)],[4829]) ).
thf(6527,plain,
$true = $true,
inference(copy,[status(thm)],[4828]) ).
thf(6528,plain,
$true = $true,
inference(copy,[status(thm)],[4827]) ).
thf(6529,plain,
$true = $true,
inference(copy,[status(thm)],[4826]) ).
thf(6530,plain,
$true = $true,
inference(copy,[status(thm)],[4825]) ).
thf(6531,plain,
$true = $true,
inference(copy,[status(thm)],[4824]) ).
thf(6532,plain,
$true = $true,
inference(copy,[status(thm)],[4823]) ).
thf(6533,plain,
$true = $true,
inference(copy,[status(thm)],[4822]) ).
thf(6534,plain,
$true = $true,
inference(copy,[status(thm)],[4821]) ).
thf(6535,plain,
$true = $true,
inference(copy,[status(thm)],[4820]) ).
thf(6536,plain,
$true = $true,
inference(copy,[status(thm)],[4819]) ).
thf(6537,plain,
$true = $true,
inference(copy,[status(thm)],[4818]) ).
thf(6538,plain,
$true = $true,
inference(copy,[status(thm)],[4817]) ).
thf(6539,plain,
$true = $true,
inference(copy,[status(thm)],[4816]) ).
thf(6540,plain,
$true = $true,
inference(copy,[status(thm)],[4815]) ).
thf(6541,plain,
$true = $true,
inference(copy,[status(thm)],[4814]) ).
thf(6542,plain,
$true = $true,
inference(copy,[status(thm)],[4813]) ).
thf(6543,plain,
$true = $true,
inference(copy,[status(thm)],[4812]) ).
thf(6544,plain,
$true = $true,
inference(copy,[status(thm)],[4811]) ).
thf(6545,plain,
$true = $true,
inference(copy,[status(thm)],[4810]) ).
thf(6546,plain,
$true = $true,
inference(copy,[status(thm)],[4809]) ).
thf(6547,plain,
$true = $true,
inference(copy,[status(thm)],[4808]) ).
thf(6548,plain,
$true = $true,
inference(copy,[status(thm)],[4807]) ).
thf(6549,plain,
$true = $true,
inference(copy,[status(thm)],[4806]) ).
thf(6550,plain,
$true = $true,
inference(copy,[status(thm)],[4805]) ).
thf(6551,plain,
$true = $true,
inference(copy,[status(thm)],[4804]) ).
thf(6552,plain,
$true = $true,
inference(copy,[status(thm)],[4803]) ).
thf(6553,plain,
$true = $true,
inference(copy,[status(thm)],[4802]) ).
thf(6554,plain,
$true = $true,
inference(copy,[status(thm)],[4801]) ).
thf(6555,plain,
$true = $true,
inference(copy,[status(thm)],[4800]) ).
thf(6556,plain,
$true = $true,
inference(copy,[status(thm)],[4799]) ).
thf(6557,plain,
$true = $true,
inference(copy,[status(thm)],[4798]) ).
thf(6558,plain,
$true = $true,
inference(copy,[status(thm)],[4797]) ).
thf(6559,plain,
$true = $true,
inference(copy,[status(thm)],[4796]) ).
thf(6560,plain,
$true = $true,
inference(copy,[status(thm)],[4795]) ).
thf(6561,plain,
$true = $true,
inference(copy,[status(thm)],[4794]) ).
thf(6562,plain,
$true = $true,
inference(copy,[status(thm)],[4793]) ).
thf(6563,plain,
$true = $true,
inference(copy,[status(thm)],[4792]) ).
thf(6564,plain,
$true = $true,
inference(copy,[status(thm)],[4791]) ).
thf(6565,plain,
$true = $true,
inference(copy,[status(thm)],[4790]) ).
thf(6566,plain,
$true = $true,
inference(copy,[status(thm)],[4789]) ).
thf(6567,plain,
$true = $true,
inference(copy,[status(thm)],[4788]) ).
thf(6568,plain,
$true = $true,
inference(copy,[status(thm)],[4787]) ).
thf(6569,plain,
$true = $true,
inference(copy,[status(thm)],[4786]) ).
thf(6570,plain,
$true = $true,
inference(copy,[status(thm)],[4785]) ).
thf(6571,plain,
$true = $true,
inference(copy,[status(thm)],[4784]) ).
thf(6572,plain,
$true = $true,
inference(copy,[status(thm)],[4783]) ).
thf(6573,plain,
$true = $true,
inference(copy,[status(thm)],[4782]) ).
thf(6574,plain,
$true = $true,
inference(copy,[status(thm)],[4781]) ).
thf(6575,plain,
$true = $true,
inference(copy,[status(thm)],[4780]) ).
thf(6576,plain,
$true = $true,
inference(copy,[status(thm)],[4779]) ).
thf(6577,plain,
$true = $true,
inference(copy,[status(thm)],[4778]) ).
thf(6578,plain,
$true = $true,
inference(copy,[status(thm)],[4777]) ).
thf(6579,plain,
$true = $true,
inference(copy,[status(thm)],[4776]) ).
thf(6580,plain,
$true = $true,
inference(copy,[status(thm)],[4775]) ).
thf(6581,plain,
$true = $true,
inference(copy,[status(thm)],[4774]) ).
thf(6582,plain,
$true = $true,
inference(copy,[status(thm)],[4773]) ).
thf(6583,plain,
$true = $true,
inference(copy,[status(thm)],[4772]) ).
thf(6584,plain,
$true = $true,
inference(copy,[status(thm)],[4771]) ).
thf(6585,plain,
$true = $true,
inference(copy,[status(thm)],[4770]) ).
thf(6586,plain,
$true = $true,
inference(copy,[status(thm)],[4769]) ).
thf(6587,plain,
$true = $true,
inference(copy,[status(thm)],[4768]) ).
thf(6588,plain,
$true = $true,
inference(copy,[status(thm)],[4767]) ).
thf(6589,plain,
$true = $true,
inference(copy,[status(thm)],[4766]) ).
thf(6590,plain,
$true = $true,
inference(copy,[status(thm)],[4765]) ).
thf(6591,plain,
$true = $true,
inference(copy,[status(thm)],[4764]) ).
thf(6592,plain,
$true = $true,
inference(copy,[status(thm)],[4763]) ).
thf(6593,plain,
$true = $true,
inference(copy,[status(thm)],[4762]) ).
thf(6594,plain,
$true = $true,
inference(copy,[status(thm)],[4761]) ).
thf(6595,plain,
$true = $true,
inference(copy,[status(thm)],[4760]) ).
thf(6596,plain,
$true = $true,
inference(copy,[status(thm)],[4759]) ).
thf(6597,plain,
$true = $true,
inference(copy,[status(thm)],[4758]) ).
thf(6598,plain,
$true = $true,
inference(copy,[status(thm)],[4757]) ).
thf(6599,plain,
$true = $true,
inference(copy,[status(thm)],[4756]) ).
thf(6600,plain,
$true = $true,
inference(copy,[status(thm)],[4755]) ).
thf(6601,plain,
$true = $true,
inference(copy,[status(thm)],[4754]) ).
thf(6602,plain,
$true = $true,
inference(copy,[status(thm)],[4753]) ).
thf(6603,plain,
$true = $true,
inference(copy,[status(thm)],[4752]) ).
thf(6604,plain,
$true = $true,
inference(copy,[status(thm)],[4751]) ).
thf(6605,plain,
$true = $true,
inference(copy,[status(thm)],[4750]) ).
thf(6606,plain,
$true = $true,
inference(copy,[status(thm)],[4749]) ).
thf(6607,plain,
$true = $true,
inference(copy,[status(thm)],[4748]) ).
thf(6608,plain,
$true = $true,
inference(copy,[status(thm)],[4747]) ).
thf(6609,plain,
$true = $true,
inference(copy,[status(thm)],[4746]) ).
thf(6610,plain,
$true = $true,
inference(copy,[status(thm)],[4745]) ).
thf(6611,plain,
$true = $true,
inference(copy,[status(thm)],[4744]) ).
thf(6612,plain,
$true = $true,
inference(copy,[status(thm)],[4743]) ).
thf(6613,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( v1_fraenkel @ A ) ) )
= $true ),
inference(copy,[status(thm)],[4742]) ).
thf(6614,plain,
$true = $true,
inference(copy,[status(thm)],[4741]) ).
thf(6615,plain,
$true = $true,
inference(copy,[status(thm)],[4740]) ).
thf(6616,plain,
$true = $true,
inference(copy,[status(thm)],[4739]) ).
thf(6617,plain,
$true = $true,
inference(copy,[status(thm)],[4738]) ).
thf(6618,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ~ ( v1_xboole_0 @ B )
& ( m1_pboole @ C @ B ) )
=> ( ( r2_hidden @ A @ ( a_2_0_closure3 @ B @ C ) )
<=> ? [D: $i] :
( ( m1_subset_1 @ D @ B )
& ( A = D )
& ( ( k1_funct_1 @ C @ D )
!= k1_xboole_0 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[4737]) ).
thf(6619,plain,
$true = $true,
inference(copy,[status(thm)],[4736]) ).
thf(6620,plain,
( ( ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ! [B: $i] :
( ( m1_pboole @ B @ A )
=> ! [C: $i] :
( ( m1_pboole @ C @ A )
=> ( ( k1_funct_4 @ B @ C )
= C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[4735]) ).
thf(6621,plain,
( ( ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ! [B: $i] :
( ( m1_pboole @ B @ A )
=> ! [C: $i] :
( ( C
= ( k1_closure3 @ A @ B ) )
<=> ( C
= ( a_2_0_closure3 @ A @ B ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[4734]) ).
thf(6622,plain,
( ( ~ ( v1_xboole_0 @ sK1_A ) )
= $true ),
inference(copy,[status(thm)],[5677]) ).
thf(6623,plain,
( ( ~ ! [SY415: $i] :
( ( m1_pboole @ SY415 @ sK1_A )
=> ! [SY416: $i] :
( ( m1_subset_1 @ SY416 @ sK1_A )
=> ( ~ ( r2_hidden @ SY416 @ ( k1_closure3 @ sK1_A @ SY415 ) )
=> ( ( k1_funct_1 @ SY415 @ SY416 )
= k1_xboole_0 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[5679]) ).
thf(6624,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ SX0 )
| ! [SX2: $i,SX3: $i] :
( ( ( g2_struct_0 @ SX0 @ SX1 )
!= ( g2_struct_0 @ SX2 @ SX3 ) )
| ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6437]) ).
thf(6625,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( v3_ordinal1 @ SX1 )
| ~ ( r2_hidden @ SX0 @ SX1 )
| ( v3_ordinal1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5979]) ).
thf(6626,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( m1_pboole @ SX1 @ SX0 )
| ! [SX2: $i] :
( ~ ( m4_pboole @ SX2 @ SX0 @ SX1 )
| ( m1_pboole @ SX2 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6377]) ).
thf(6627,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( m1_pboole @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
~ ( m4_pboole @ SX2 @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6378]) ).
thf(6628,plain,
( ( ~ ! [SX0: $i] :
~ ~ ( ~ ~ ( v1_xboole_0 @ SX0 )
| ~ ( v1_setfam_1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5802]) ).
thf(6629,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ( ~ ( ( SX2
!= ( k3_xboole_0 @ SX0 @ SX1 ) )
| ! [SX3: $i] :
~ ( ~ ( ~ ( r2_hidden @ SX3 @ SX2 )
| ~ ( ~ ( r2_hidden @ SX3 @ SX0 )
| ~ ( r2_hidden @ SX3 @ SX1 ) ) )
| ~ ( ~ ~ ( ~ ( r2_hidden @ SX3 @ SX0 )
| ~ ( r2_hidden @ SX3 @ SX1 ) )
| ( r2_hidden @ SX3 @ SX2 ) ) ) )
| ~ ( ~ ! [SX3: $i] :
~ ( ~ ( ~ ( r2_hidden @ SX3 @ SX2 )
| ~ ( ~ ( r2_hidden @ SX3 @ SX0 )
| ~ ( r2_hidden @ SX3 @ SX1 ) ) )
| ~ ( ~ ~ ( ~ ( r2_hidden @ SX3 @ SX0 )
| ~ ( r2_hidden @ SX3 @ SX1 ) )
| ( r2_hidden @ SX3 @ SX2 ) ) )
| ( SX2
= ( k3_xboole_0 @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5704]) ).
thf(6630,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( m1_pboole @ SX1 @ SX0 )
| ~ ( m1_pboole @ SX2 @ SX0 ) )
| ( m1_pboole @ ( k11_pboole @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6397]) ).
thf(6631,plain,
( ( ! [SX0: $i] :
( ~ ( m1_pboole @ SX0 @ k1_xboole_0 )
| ( SX0 = k1_xboole_0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6366]) ).
thf(6632,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i] :
~ ( m1_subset_1 @ SX1 @ SX0 ) )
= $true ),
inference(unfold_def,[status(thm)],[5796]) ).
thf(6633,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( ( k2_xboole_0 @ SX0 @ SX1 )
!= k1_xboole_0 )
| ( SX0 = k1_xboole_0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5726]) ).
thf(6634,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( m1_pboole @ SX1 @ SX0 )
| ~ ( m1_pboole @ SX2 @ SX0 ) )
| ( ( k2_pboole @ SX0 @ SX1 @ SX2 )
= ( k2_pboole @ SX0 @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6389]) ).
thf(6635,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( v2_ordinal1 @ SX0 )
| ! [SX1: $i,SX2: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ SX1 @ SX0 )
| ~ ( r2_hidden @ SX2 @ SX0 ) )
| ~ ~ ( r2_hidden @ SX1 @ SX2 ) )
| ~ ( ( SX1 != SX2 ) ) )
| ~ ~ ( r2_hidden @ SX2 @ SX1 ) ) )
| ~ ( ~ ! [SX1: $i,SX2: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ SX1 @ SX0 )
| ~ ( r2_hidden @ SX2 @ SX0 ) )
| ~ ~ ( r2_hidden @ SX1 @ SX2 ) )
| ~ ( ( SX1 != SX2 ) ) )
| ~ ~ ( r2_hidden @ SX2 @ SX1 ) )
| ( v2_ordinal1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5973]) ).
thf(6636,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ SX0 @ SX1 )
| ~ ( r2_hidden @ SX1 @ SX2 ) )
| ~ ( r2_hidden @ SX2 @ SX3 ) )
| ~ ( r2_hidden @ SX3 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5964]) ).
thf(6637,plain,
( ( ! [SX0: $i] :
( ~ ( r2_hidden @ k1_xboole_0 @ SX0 )
| ( ( k1_setfam_1 @ SX0 )
= k1_xboole_0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5809]) ).
thf(6638,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( m1_pboole @ SX1 @ SX0 )
| ~ ( m1_pboole @ SX2 @ SX0 ) )
| ! [SX3: $i] :
( ~ ( m3_pboole @ SX3 @ SX0 @ SX1 @ SX2 )
| ( m1_pboole @ SX3 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6375]) ).
thf(6639,plain,
( ( ! [SX0: $i] :
( ~ ( ( SX0 != k1_xboole_0 ) )
| ( ( k1_funct_2 @ SX0 @ k1_xboole_0 )
= k1_xboole_0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6098]) ).
thf(6640,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
~ ( m3_realset1 @ SX2 @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6416]) ).
thf(6641,plain,
( ( ! [SX0: $i] :
( ~ ~ ( v1_xboole_0 @ SX0 )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( m1_subset_1 @ SX1 @ ( k1_zfmisc_1 @ SX0 ) )
| ~ ~ ( v1_xboole_0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5765]) ).
thf(6642,plain,
( ( ! [SX0: $i] :
( ~ ( r1_setfam_1 @ SX0 @ k1_xboole_0 )
| ( SX0 = k1_xboole_0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5815]) ).
thf(6643,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ! [SX2: $i] :
~ ( ~ ( ~ ( r2_hidden @ SX2 @ SX0 )
| ( p1_s3_xboole_0 @ SX2 ) )
| ~ ( ~ ( p1_s3_xboole_0 @ SX2 )
| ( r2_hidden @ SX2 @ SX0 ) ) )
| ~ ! [SX2: $i] :
~ ( ~ ( ~ ( r2_hidden @ SX2 @ SX1 )
| ( p1_s3_xboole_0 @ SX2 ) )
| ~ ( ~ ( p1_s3_xboole_0 @ SX2 )
| ( r2_hidden @ SX2 @ SX1 ) ) ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5710]) ).
thf(6644,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ~ ( v1_xboole_0 @ SX0 )
| ~ ~ ( v1_xboole_0 @ SX1 ) )
| ~ ( r2_subset_1 @ SX0 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5800]) ).
thf(6645,plain,
( ( ! [SX0: $i] :
( ~ ~ ( v1_xboole_0 @ SX0 )
| ! [SX1: $i] :
( ~ ( m1_pboole @ SX1 @ SX0 )
| ! [SX2: $i] :
~ ( ~ ( ( SX2
!= ( k1_closure3 @ SX0 @ SX1 ) )
| ( SX2
= ( a_2_0_closure3 @ SX0 @ SX1 ) ) )
| ~ ( ( SX2
!= ( a_2_0_closure3 @ SX0 @ SX1 ) )
| ( SX2
= ( k1_closure3 @ SX0 @ SX1 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6621]) ).
thf(6646,plain,
( ( ! [SX0: $i] :
~ ( ~ ~ ~ ( ~ ~ ( r1_xboole_0 @ SX0 @ SX0 )
| ( SX0 != k1_xboole_0 ) )
| ~ ~ ~ ( ~ ( ( SX0 != k1_xboole_0 ) )
| ~ ( r1_xboole_0 @ SX0 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5730]) ).
thf(6647,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SX0 )
| ~ ( v2_relat_1 @ SX1 ) )
| ~ ( m1_pboole @ SX1 @ SX0 ) )
| ~ ( m1_subset_1 @ SX2 @ SX0 ) )
| ~ ( v1_xboole_0 @ ( k1_funct_1 @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6345]) ).
thf(6648,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( m1_pboole @ SX1 @ SX0 )
| ~ ( m1_pboole @ SX2 @ SX0 ) )
| ( r2_pboole @ SX0 @ SX1 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6379]) ).
thf(6649,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( m1_pboole @ SX1 @ SX0 )
| ! [SX2: $i] :
( ~ ( r2_hidden @ SX2 @ SX0 )
| ( m1_subset_1 @ ( k1_funct_1 @ SX1 @ SX2 ) @ ( k2_relat_1 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6370]) ).
thf(6650,plain,
( ( ! [SX0: $i] :
( ~ ( v3_ordinal1 @ SX0 )
| ! [SX1: $i] :
( ~ ( v3_ordinal1 @ SX1 )
| ~ ~ ( ~ ~ ( ~ ~ ( r2_hidden @ SX0 @ SX1 )
| ~ ( ( SX0 != SX1 ) ) )
| ~ ~ ( r2_hidden @ SX1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5980]) ).
thf(6651,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ~ ( v1_xboole_0 @ SX1 )
| ~ ( m1_pboole @ SX2 @ SX1 ) )
| ~ ( ~ ( ~ ( r2_hidden @ SX0 @ ( a_2_0_closure3 @ SX1 @ SX2 ) )
| ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SX3 @ SX1 )
| ( SX0 != SX3 ) )
| ~ ( ( ( k1_funct_1 @ SX2 @ SX3 )
!= k1_xboole_0 ) ) ) )
| ~ ( ~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SX3 @ SX1 )
| ( SX0 != SX3 ) )
| ~ ( ( ( k1_funct_1 @ SX2 @ SX3 )
!= k1_xboole_0 ) ) )
| ( r2_hidden @ SX0 @ ( a_2_0_closure3 @ SX1 @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6618]) ).
thf(6652,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ~ ( v1_xboole_0 @ SX0 )
| ~ ~ ( v1_xboole_0 @ SX1 ) )
| ~ ( r1_subset_1 @ SX0 @ SX1 )
| ( r1_subset_1 @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5797]) ).
thf(6653,plain,
( ( ! [SX0: $i] :
( ~ ~ ( v1_xboole_0 @ SX0 )
| ( ( k6_relat_1 @ SX0 )
!= k1_xboole_0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6008]) ).
thf(6654,plain,
( ( ~ ! [SX0: $i] :
~ ~ ( ~ ~ ( v1_xboole_0 @ SX0 )
| ~ ( v1_relat_1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5841]) ).
thf(6655,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( ( k2_zfmisc_1 @ SX0 @ SX1 )
!= ( k2_zfmisc_1 @ SX2 @ SX3 ) )
| ( SX0 = k1_xboole_0 )
| ( SX1 = k1_xboole_0 )
| ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5757]) ).
thf(6656,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( m1_pboole @ SX1 @ SX0 )
| ~ ( m1_pboole @ SX2 @ SX0 ) )
| ( m1_pboole @ ( k2_pboole @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6388]) ).
thf(6657,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( v1_xboole_0 @ SX0 )
| ( SX0 = k1_xboole_0 ) )
| ~ ( ( SX0 != k1_xboole_0 )
| ( v1_xboole_0 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5706]) ).
thf(6658,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( v1_xboole_0 @ SX0 )
| ~ ( v1_xboole_0 @ ( k2_xboole_0 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5700]) ).
thf(6659,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( m1_pboole @ SX1 @ SX0 )
| ~ ( m1_pboole @ SX2 @ SX0 ) )
| ( m1_pboole @ ( k4_pboole @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6394]) ).
thf(6660,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SX2: $i] :
~ ~ ( ~ ( r2_hidden @ SX2 @ SX0 )
| ~ ! [SX3: $i,SX4: $i] :
( SX2
!= ( k4_tarski @ SX3 @ SX4 ) ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( r2_hidden @ SX2 @ SX1 )
| ~ ! [SX3: $i,SX4: $i] :
( SX2
!= ( k4_tarski @ SX3 @ SX4 ) ) ) )
| ~ ! [SX2: $i,SX3: $i] :
~ ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ SX2 @ SX3 ) @ SX0 )
| ( r2_hidden @ ( k4_tarski @ SX2 @ SX3 ) @ SX1 ) )
| ~ ( ~ ( r2_hidden @ ( k4_tarski @ SX2 @ SX3 ) @ SX1 )
| ( r2_hidden @ ( k4_tarski @ SX2 @ SX3 ) @ SX0 ) ) ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5753]) ).
thf(6661,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( m1_pboole @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( r2_hidden @ SX2 @ SX0 )
| ( ( k1_funct_1 @ SX1 @ SX2 )
= k1_xboole_0 ) )
| ( SX1
= ( k1_pboole @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6351]) ).
thf(6662,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ( ~ ( m1_finseq_2 @ SX1 @ SX0 )
| ~ ~ ( v1_xboole_0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6317]) ).
thf(6663,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( m1_pboole @ SX1 @ SX0 )
| ! [SX2: $i] :
( ~ ( m1_pboole @ SX2 @ SX0 )
| ~ ( ~ ( ~ ( r1_pboole @ SX0 @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( r2_hidden @ SX3 @ SX0 )
| ( r2_hidden @ ( k1_funct_1 @ SX1 @ SX3 ) @ ( k1_funct_1 @ SX2 @ SX3 ) ) ) )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r2_hidden @ SX3 @ SX0 )
| ( r2_hidden @ ( k1_funct_1 @ SX1 @ SX3 ) @ ( k1_funct_1 @ SX2 @ SX3 ) ) )
| ( r1_pboole @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6348]) ).
thf(6664,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( m1_pboole @ SX1 @ SX0 )
| ~ ( m1_pboole @ SX2 @ SX0 ) )
| ( ( k3_pboole @ SX0 @ SX1 @ SX1 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6393]) ).
thf(6665,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( r2_hidden @ SX1 @ SX0 )
| ( ( k1_funct_1 @ ( k2_funcop_1 @ SX0 @ SX2 ) @ SX1 )
= SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6165]) ).
thf(6666,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ~ ( ~ ~ ( ~ ( r2_hidden @ SX0 @ SX1 )
| ~ ( m1_subset_1 @ SX1 @ ( k1_zfmisc_1 @ SX2 ) ) )
| ~ ( v1_xboole_0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5837]) ).
thf(6667,plain,
( ( ~ ! [SX0: $i] :
~ ~ ( ~ ~ ( v1_xboole_0 @ SX0 )
| ~ ( v1_finset_1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6199]) ).
thf(6668,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ SX0 @ SX1 )
| ~ ( r2_hidden @ SX1 @ SX2 ) )
| ~ ( r2_hidden @ SX2 @ SX3 ) )
| ~ ( r2_hidden @ SX3 @ SX4 ) )
| ~ ( r2_hidden @ SX4 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5965]) ).
thf(6669,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( m1_pboole @ SX1 @ SX0 )
| ~ ( m1_pboole @ SX2 @ SX0 ) )
| ~ ( r5_pboole @ SX0 @ SX1 @ SX2 )
| ( r5_pboole @ SX0 @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6382]) ).
thf(6670,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ( ~ ( ( SX2
!= ( k2_xboole_0 @ SX0 @ SX1 ) )
| ! [SX3: $i] :
~ ( ~ ( ~ ( r2_hidden @ SX3 @ SX2 )
| ( r2_hidden @ SX3 @ SX0 )
| ( r2_hidden @ SX3 @ SX1 ) )
| ~ ( ~ ( ( r2_hidden @ SX3 @ SX0 )
| ( r2_hidden @ SX3 @ SX1 ) )
| ( r2_hidden @ SX3 @ SX2 ) ) ) )
| ~ ( ~ ! [SX3: $i] :
~ ( ~ ( ~ ( r2_hidden @ SX3 @ SX2 )
| ( r2_hidden @ SX3 @ SX0 )
| ( r2_hidden @ SX3 @ SX1 ) )
| ~ ( ~ ( ( r2_hidden @ SX3 @ SX0 )
| ( r2_hidden @ SX3 @ SX1 ) )
| ( r2_hidden @ SX3 @ SX2 ) ) )
| ( SX2
= ( k2_xboole_0 @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5703]) ).
thf(6671,plain,
( ( ! [SX0: $i] :
( ~ ( r1_tarski @ SX0 @ k1_xboole_0 )
| ( SX0 = k1_xboole_0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5725]) ).
thf(6672,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ SX0 @ SX1 )
| ~ ( r2_hidden @ SX1 @ SX2 ) )
| ~ ( r2_hidden @ SX2 @ SX3 ) )
| ~ ( r2_hidden @ SX3 @ SX4 ) )
| ~ ( r2_hidden @ SX4 @ SX5 ) )
| ~ ( r2_hidden @ SX5 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5966]) ).
thf(6673,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ~ ( v1_xboole_0 @ SX0 )
| ~ ( ~ ( ~ ( m1_subset_1 @ SX1 @ SX0 )
| ( r2_hidden @ SX1 @ SX0 ) )
| ~ ( ~ ( r2_hidden @ SX1 @ SX0 )
| ( m1_subset_1 @ SX1 @ SX0 ) ) ) )
| ~ ( ~ ( v1_xboole_0 @ SX0 )
| ~ ( ~ ( ~ ( m1_subset_1 @ SX1 @ SX0 )
| ( v1_xboole_0 @ SX1 ) )
| ~ ( ~ ( v1_xboole_0 @ SX1 )
| ( m1_subset_1 @ SX1 @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5771]) ).
thf(6674,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( m1_pboole @ SX1 @ SX0 )
| ~ ( m1_pboole @ SX2 @ SX0 ) )
| ( ( k3_pboole @ SX0 @ SX1 @ SX2 )
= ( k3_pboole @ SX0 @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6392]) ).
thf(6675,plain,
( ( ! [SX0: $i] :
( ~ ( v1_xboole_0 @ SX0 )
| ( v1_relat_1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5839]) ).
thf(6676,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i] :
~ ( m1_pboole @ SX1 @ SX0 ) )
= $true ),
inference(unfold_def,[status(thm)],[6372]) ).
thf(6677,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ~ ( ~ ( r2_hidden @ SX0 @ SX1 )
| ~ ( v1_xboole_0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5722]) ).
thf(6678,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( m1_pboole @ SX1 @ SX0 )
| ! [SX2: $i] :
( ~ ( m1_pboole @ SX2 @ SX0 )
| ~ ! [SX3: $i] :
( ~ ( r2_hidden @ SX3 @ SX0 )
| ( ( k1_funct_1 @ SX1 @ SX3 )
= ( k1_funct_1 @ SX2 @ SX3 ) ) )
| ( SX1 = SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6349]) ).
thf(6679,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( r2_hidden @ SX0 @ SX1 )
| ~ ( m1_subset_1 @ SX1 @ ( k1_zfmisc_1 @ SX2 ) ) )
| ( m1_subset_1 @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5836]) ).
thf(6680,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( m1_pboole @ SX1 @ SX0 )
| ~ ( m1_pboole @ SX2 @ SX0 ) )
| ( m1_pboole @ ( k12_pboole @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6398]) ).
thf(6681,plain,
( ( ! [SX0: $i] :
~ ( ~ ~ ~ ( ~ ~ ( v1_realset1 @ SX0 )
| ~ ! [SX1: $i,SX2: $i] :
~ ~ ( ~ ~ ( ~ ( r2_hidden @ SX1 @ SX0 )
| ~ ( r2_hidden @ SX2 @ SX0 ) )
| ~ ( ( SX1 != SX2 ) ) ) )
| ~ ~ ~ ( ~ ~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( r2_hidden @ SX1 @ SX0 )
| ~ ( r2_hidden @ SX2 @ SX0 ) )
| ~ ( ( SX1 != SX2 ) ) )
| ~ ( v1_realset1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6415]) ).
thf(6682,plain,
( ( ~ ! [SX0: $i] :
~ ~ ( ~ ~ ( v1_xboole_0 @ SX0 )
| ~ ~ ( v1_realset1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6413]) ).
thf(6683,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( ( k2_zfmisc_1 @ SX0 @ SX1 )
!= ( k2_zfmisc_1 @ SX1 @ SX0 ) )
| ( SX0 = k1_xboole_0 )
| ( SX1 = k1_xboole_0 )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5755]) ).
thf(6684,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( r2_hidden @ SX0 @ ( k1_ordinal1 @ SX1 ) )
| ( r2_hidden @ SX0 @ SX1 )
| ( SX0 = SX1 ) )
| ~ ( ~ ( ( r2_hidden @ SX0 @ SX1 )
| ( SX0 = SX1 ) )
| ( r2_hidden @ SX0 @ ( k1_ordinal1 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5972]) ).
thf(6685,plain,
( ( ! [SX0: $i] :
( ~ ~ ( v2_setfam_1 @ SX0 )
| ~ ( v1_xboole_0 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5804]) ).
thf(6686,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i] :
~ ( ~ ( ~ ( r2_hidden @ SX1 @ SX0 )
| ( v3_ordinal1 @ SX1 ) )
| ~ ( ~ ( v3_ordinal1 @ SX1 )
| ( r2_hidden @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5983]) ).
thf(6687,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( m1_pboole @ SX1 @ SX0 )
| ( m1_pboole @ ( k1_mboolean @ SX0 @ SX1 ) @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6432]) ).
thf(6688,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ~ ( v1_xboole_0 @ SX0 )
| ~ ~ ( v1_xboole_0 @ SX1 ) )
| ~ ( r1_subset_1 @ SX0 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5798]) ).
thf(6689,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( m1_pboole @ SX1 @ SX0 )
| ~ ( m1_pboole @ SX2 @ SX0 ) )
| ~ ( r4_pboole @ SX0 @ SX1 @ SX2 )
| ( r4_pboole @ SX0 @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6381]) ).
thf(6690,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ( ( SX0 != SX1 ) )
| ~ ( ( ( k1_funct_1 @ ( k4_funct_4 @ SX0 @ SX1 @ SX2 @ SX3 ) @ SX0 )
!= SX2 )
| ( ( k1_funct_1 @ ( k4_funct_4 @ SX0 @ SX1 @ SX2 @ SX3 ) @ SX1 )
!= SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6176]) ).
thf(6691,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( m1_pboole @ SX1 @ SX0 )
| ! [SX2: $i] :
( ~ ( m2_pboole @ SX2 @ SX0 @ SX1 )
| ( m1_pboole @ SX2 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6373]) ).
thf(6692,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ~ ( ~ ( r2_hidden @ SX0 @ SX1 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( r2_hidden @ SX2 @ SX1 )
| ~ ! [SX3: $i] :
~ ~ ( ~ ( r2_hidden @ SX3 @ SX1 )
| ~ ( r2_hidden @ SX3 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5691]) ).
thf(6693,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ( ~ ( ( SX2
!= ( k4_xboole_0 @ SX0 @ SX1 ) )
| ! [SX3: $i] :
~ ( ~ ( ~ ( r2_hidden @ SX3 @ SX2 )
| ~ ( ~ ( r2_hidden @ SX3 @ SX0 )
| ~ ~ ( r2_hidden @ SX3 @ SX1 ) ) )
| ~ ( ~ ~ ( ~ ( r2_hidden @ SX3 @ SX0 )
| ~ ~ ( r2_hidden @ SX3 @ SX1 ) )
| ( r2_hidden @ SX3 @ SX2 ) ) ) )
| ~ ( ~ ! [SX3: $i] :
~ ( ~ ( ~ ( r2_hidden @ SX3 @ SX2 )
| ~ ( ~ ( r2_hidden @ SX3 @ SX0 )
| ~ ~ ( r2_hidden @ SX3 @ SX1 ) ) )
| ~ ( ~ ~ ( ~ ( r2_hidden @ SX3 @ SX0 )
| ~ ~ ( r2_hidden @ SX3 @ SX1 ) )
| ( r2_hidden @ SX3 @ SX2 ) ) )
| ( SX2
= ( k4_xboole_0 @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5705]) ).
thf(6694,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ~ ( v1_xboole_0 @ SX0 )
| ~ ~ ( v1_xboole_0 @ SX1 ) )
| ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5766]) ).
thf(6695,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( m1_pboole @ SX1 @ SX0 )
| ~ ( m1_pboole @ SX2 @ SX0 ) )
| ( m1_pboole @ ( k3_pboole @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6391]) ).
thf(6696,plain,
( ( ~ ( ~ ( v1_xboole_0 @ k1_xboole_0 )
| ~ ( v1_relat_1 @ k1_xboole_0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5840]) ).
thf(6697,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( m1_pboole @ SX1 @ SX0 )
| ~ ( m1_pboole @ SX2 @ SX0 ) )
| ( ( k5_pboole @ SX0 @ SX1 @ SX2 )
= ( k5_pboole @ SX0 @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6396]) ).
thf(6698,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ~ ( ~ ~ ( ~ ( v1_xboole_0 @ SX0 )
| ~ ( ( SX0 != SX1 ) ) )
| ~ ( v1_xboole_0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5723]) ).
thf(6699,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( m1_pboole @ SX1 @ SX0 )
| ( m1_pboole @ ( k2_mboolean @ SX0 @ SX1 ) @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6433]) ).
thf(6700,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SX0 )
| ~ ( m1_pboole @ SX1 @ SX0 ) )
| ~ ( m1_pboole @ SX2 @ SX0 ) )
| ~ ( r3_pboole @ SX0 @ SX1 @ SX2 )
| ~ ( r3_pboole @ SX0 @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6380]) ).
thf(6701,plain,
( ( ! [SX0: $i] :
( ~ ( v1_xboole_0 @ SX0 )
| ( v1_funct_1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5883]) ).
thf(6702,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( m1_subset_1 @ SX0 @ SX1 )
| ( v1_xboole_0 @ SX1 )
| ( r2_hidden @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5835]) ).
thf(6703,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ( ~ ( m1_subset_1 @ SX1 @ ( k1_zfmisc_1 @ SX0 ) )
| ~ ( v1_xboole_0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5769]) ).
thf(6704,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( k1_zfmisc_1 @ SX0 ) )
| ~ ~ ( ~ ( ( SX1 != k1_xboole_0 ) )
| ~ ! [SX2: $i] :
( ~ ( m1_subset_1 @ SX2 @ SX0 )
| ~ ( r2_hidden @ SX2 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5781]) ).
thf(6705,plain,
( ( ~ ! [SX0: $i] :
~ ~ ( v1_xboole_0 @ SX0 ) )
= $true ),
inference(unfold_def,[status(thm)],[5699]) ).
thf(6706,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ( SX0 != k1_xboole_0 )
| ! [SX1: $i] :
~ ( r2_hidden @ SX1 @ SX0 ) )
| ~ ( ~ ! [SX1: $i] :
~ ( r2_hidden @ SX1 @ SX0 )
| ( SX0 = k1_xboole_0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5702]) ).
thf(6707,plain,
( ( ~ ! [SX0: $i] :
~ ~ ( ~ ( v1_xboole_0 @ SX0 )
| ~ ( v1_relat_1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5838]) ).
thf(6708,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( m1_pboole @ SX1 @ SX0 )
| ! [SX2: $i] :
( ~ ( m1_pboole @ SX2 @ SX0 )
| ~ ( ~ ( ~ ( m2_pboole @ SX2 @ SX0 @ SX1 )
| ! [SX3: $i] :
( ~ ( r2_hidden @ SX3 @ SX0 )
| ( m1_subset_1 @ ( k1_funct_1 @ SX2 @ SX3 ) @ ( k1_funct_1 @ SX1 @ SX3 ) ) ) )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r2_hidden @ SX3 @ SX0 )
| ( m1_subset_1 @ ( k1_funct_1 @ SX2 @ SX3 ) @ ( k1_funct_1 @ SX1 @ SX3 ) ) )
| ( m2_pboole @ SX2 @ SX0 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6371]) ).
thf(6709,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( m1_pboole @ SX1 @ SX0 )
| ! [SX2: $i] :
( ~ ( m1_pboole @ SX2 @ SX0 )
| ! [SX3: $i] :
( ~ ( m1_pboole @ SX3 @ SX0 )
| ~ ~ ( ~ ( r2_pboole @ SX0 @ SX1 @ SX2 )
| ~ ( r2_pboole @ SX0 @ SX2 @ SX3 ) )
| ( r2_pboole @ SX0 @ SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6354]) ).
thf(6710,plain,
( ( ! [SX0: $i] :
( ~ ( v1_xboole_0 @ SX0 )
| ( v1_finset_1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6200]) ).
thf(6711,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( r1_tarski @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r2_hidden @ SX2 @ SX0 )
| ( r2_hidden @ SX2 @ SX1 ) ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( r2_hidden @ SX2 @ SX0 )
| ( r2_hidden @ SX2 @ SX1 ) )
| ( r1_tarski @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5687]) ).
thf(6712,plain,
( ( ! [SX0: $i] :
( ~ ~ ( v1_xboole_0 @ SX0 )
| ! [SX1: $i] :
( ~ ( m1_pboole @ SX1 @ SX0 )
| ! [SX2: $i] :
( ~ ( m1_pboole @ SX2 @ SX0 )
| ( ( k1_funct_4 @ SX1 @ SX2 )
= SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6620]) ).
thf(6713,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( r2_wellord2 @ SX0 @ k1_xboole_0 )
| ( SX0 = k1_xboole_0 ) )
| ~ ( ( SX0 != k1_xboole_0 )
| ( r2_wellord2 @ SX0 @ k1_xboole_0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6278]) ).
thf(6714,plain,
( ( ! [SX0: $i] :
( ~ ~ ( v1_xboole_0 @ SX0 )
| ! [SX1: $i] :
( ~ ( m1_pboole @ SX1 @ SX0 )
| ! [SX2: $i] :
( ~ ( m1_subset_1 @ SX2 @ ( k2_relat_1 @ SX1 ) )
| ~ ! [SX3: $i] :
~ ~ ( ~ ( r2_hidden @ SX3 @ SX0 )
| ( SX2
!= ( k1_funct_1 @ SX1 @ SX3 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6369]) ).
thf(6715,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ~ ( ~ ~ ( ~ ( r2_hidden @ SX0 @ SX1 )
| ~ ( r2_hidden @ SX1 @ SX2 ) )
| ~ ( r2_hidden @ SX2 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5963]) ).
thf(6716,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( k1_zfmisc_1 @ SX0 ) )
| ~ ! [SX2: $i] :
( ~ ( m1_subset_1 @ SX2 @ SX0 )
| ( r2_hidden @ SX2 @ SX1 ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5793]) ).
thf(6717,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( m1_pboole @ SX1 @ SX0 )
| ~ ( m1_pboole @ SX2 @ SX0 ) )
| ( r7_pboole @ SX0 @ SX1 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6386]) ).
thf(6718,plain,
( ( ! [SX0: $i] :
( ~ ( v1_xboole_0 @ SX0 )
| ( SX0 = k1_xboole_0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5721]) ).
thf(6719,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( v1_xboole_0 @ SX1 )
| ~ ( v1_xboole_0 @ ( k1_funct_2 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6092]) ).
thf(6720,plain,
( ( ~ ! [SX0: $i] :
~ ~ ( ~ ~ ( v1_xboole_0 @ SX0 )
| ~ ( v1_fraenkel @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6213]) ).
thf(6721,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ~ ( ~ ( r2_hidden @ SX0 @ SX1 )
| ~ ( r1_tarski @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5967]) ).
thf(6722,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( k1_zfmisc_1 @ SX0 ) )
| ! [SX2: $i] :
( ~ ( m1_subset_1 @ SX2 @ ( k1_zfmisc_1 @ SX0 ) )
| ~ ! [SX3: $i] :
( ~ ( m1_subset_1 @ SX3 @ SX0 )
| ~ ( ~ ( ~ ( r2_hidden @ SX3 @ SX1 )
| ( r2_hidden @ SX3 @ SX2 ) )
| ~ ( ~ ( r2_hidden @ SX3 @ SX2 )
| ( r2_hidden @ SX3 @ SX1 ) ) ) )
| ( SX1 = SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5779]) ).
thf(6723,plain,
( ( ~ ! [SX0: $i] :
~ ( v1_xboole_0 @ SX0 ) )
= $true ),
inference(unfold_def,[status(thm)],[5698]) ).
thf(6724,plain,
( ( ! [SX0: $i] :
( ~ ~ ( v1_realset1 @ SX0 )
| ~ ( v1_xboole_0 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6414]) ).
thf(6725,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( r2_hidden @ SX1 @ SX0 )
| ( ( k1_funct_1 @ ( k6_relat_1 @ SX0 ) @ SX1 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5902]) ).
thf(6726,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( m1_pboole @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
~ ( m2_pboole @ SX2 @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6374]) ).
thf(6727,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ~ ( ~ ~ ( ~ ( ( SX0
!= ( k1_tarski @ SX1 ) ) )
| ~ ( ( SX0 != k1_xboole_0 ) ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( r2_hidden @ SX2 @ SX0 )
| ~ ( ( SX2 != SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5740]) ).
thf(6728,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SX0 )
| ~ ~ ( v1_xboole_0 @ SX1 ) )
| ~ ~ ( v1_xboole_0 @ SX2 ) )
| ~ ( v1_xboole_0 @ ( k3_zfmisc_1 @ SX0 @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5767]) ).
thf(6729,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ! [SX2: $i] :
~ ( ~ ( ~ ( r2_hidden @ SX2 @ SX0 )
| ( r2_hidden @ SX2 @ SX1 ) )
| ~ ( ~ ( r2_hidden @ SX2 @ SX1 )
| ( r2_hidden @ SX2 @ SX0 ) ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5682]) ).
thf(6730,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SX0 ) ) )
| ! [SX2: $i] :
( ~ ( m1_subset_1 @ SX2 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SX0 ) ) )
| ~ ! [SX3: $i] :
( ~ ( m1_subset_1 @ SX3 @ ( k1_zfmisc_1 @ SX0 ) )
| ~ ( ~ ( ~ ( r2_hidden @ SX3 @ SX1 )
| ( r2_hidden @ SX3 @ SX2 ) )
| ~ ( ~ ( r2_hidden @ SX3 @ SX2 )
| ( r2_hidden @ SX3 @ SX1 ) ) ) )
| ( SX1 = SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5824]) ).
thf(6731,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( m1_pboole @ SX1 @ SX0 )
| ~ ( m1_pboole @ SX2 @ SX0 ) )
| ( r6_pboole @ SX0 @ SX1 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6384]) ).
thf(6732,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ~ ( v1_xboole_0 @ SX0 )
| ~ ~ ( v1_xboole_0 @ SX1 ) )
| ~ ( r2_subset_1 @ SX0 @ SX1 )
| ( r2_subset_1 @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5799]) ).
thf(6733,plain,
( ( ~ ! [SX0: $i] :
~ ~ ( ~ ~ ( v1_xboole_0 @ SX0 )
| ~ ( v1_realset1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6412]) ).
thf(6734,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( m1_pboole @ SX1 @ SX0 )
| ~ ( ~ ( ~ ( v2_relat_1 @ SX1 )
| ! [SX2: $i] :
~ ~ ( ~ ( r2_hidden @ SX2 @ SX0 )
| ~ ( v1_xboole_0 @ ( k1_funct_1 @ SX1 @ SX2 ) ) ) )
| ~ ( ~ ! [SX2: $i] :
~ ~ ( ~ ( r2_hidden @ SX2 @ SX0 )
| ~ ( v1_xboole_0 @ ( k1_funct_1 @ SX1 @ SX2 ) ) )
| ( v2_relat_1 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6368]) ).
thf(6735,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ( ~ ( ( SX2
!= ( k2_tarski @ SX0 @ SX1 ) )
| ! [SX3: $i] :
~ ( ~ ( ~ ( r2_hidden @ SX3 @ SX2 )
| ( SX3 = SX0 )
| ( SX3 = SX1 ) )
| ~ ( ~ ( ( SX3 = SX0 )
| ( SX3 = SX1 ) )
| ( r2_hidden @ SX3 @ SX2 ) ) ) )
| ~ ( ~ ! [SX3: $i] :
~ ( ~ ( ~ ( r2_hidden @ SX3 @ SX2 )
| ( SX3 = SX0 )
| ( SX3 = SX1 ) )
| ~ ( ~ ( ( SX3 = SX0 )
| ( SX3 = SX1 ) )
| ( r2_hidden @ SX3 @ SX2 ) ) )
| ( SX2
= ( k2_tarski @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5684]) ).
thf(6736,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ( ~ ( ~ ( r2_hidden @ SX0 @ ( k5_xboole_0 @ SX1 @ SX2 ) )
| ~ ~ ( ~ ( ~ ( r2_hidden @ SX0 @ SX1 )
| ( r2_hidden @ SX0 @ SX2 ) )
| ~ ( ~ ( r2_hidden @ SX0 @ SX2 )
| ( r2_hidden @ SX0 @ SX1 ) ) ) )
| ~ ( ~ ~ ~ ( ~ ( ~ ( r2_hidden @ SX0 @ SX1 )
| ( r2_hidden @ SX0 @ SX2 ) )
| ~ ( ~ ( r2_hidden @ SX0 @ SX2 )
| ( r2_hidden @ SX0 @ SX1 ) ) )
| ( r2_hidden @ SX0 @ ( k5_xboole_0 @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5707]) ).
thf(6737,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( r2_hidden @ SX0 @ SX1 )
| ~ ( r2_hidden @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5680]) ).
thf(6738,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( m1_pboole @ SX1 @ SX0 )
| ~ ( m1_pboole @ SX2 @ SX0 ) )
| ( m1_pboole @ ( k5_pboole @ SX0 @ SX1 @ SX2 ) @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6395]) ).
thf(6739,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( m1_pboole @ SX1 @ SX0 )
| ! [SX2: $i] :
( ~ ( m1_pboole @ SX2 @ SX0 )
| ! [SX3: $i] :
( ~ ( m1_pboole @ SX3 @ SX0 )
| ~ ~ ( ~ ( r7_pboole @ SX0 @ SX1 @ SX2 )
| ~ ( r7_pboole @ SX0 @ SX2 @ SX3 ) )
| ( r7_pboole @ SX0 @ SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6365]) ).
thf(6740,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( m1_pboole @ SX1 @ SX0 )
| ~ ( m1_pboole @ SX2 @ SX0 ) )
| ~ ( ~ ( ~ ( r6_pboole @ SX0 @ SX1 @ SX2 )
| ( SX1 = SX2 ) )
| ~ ( ( SX1 != SX2 )
| ( r6_pboole @ SX0 @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6385]) ).
thf(6741,plain,
( ( ! [SX0: $i] :
( ~ ~ ( v2_setfam_1 @ SX0 )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( m1_subset_1 @ SX1 @ SX0 )
| ~ ~ ( v1_xboole_0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5805]) ).
thf(6742,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( r2_hidden @ SX0 @ SX1 )
| ( m1_subset_1 @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5834]) ).
thf(6743,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( ( SX0 != k1_xboole_0 ) )
| ~ ( ~ ( ( SX1
!= ( k1_setfam_1 @ SX0 ) )
| ! [SX2: $i] :
~ ( ~ ( ~ ( r2_hidden @ SX2 @ SX1 )
| ! [SX3: $i] :
( ~ ( r2_hidden @ SX3 @ SX0 )
| ( r2_hidden @ SX2 @ SX3 ) ) )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r2_hidden @ SX3 @ SX0 )
| ( r2_hidden @ SX2 @ SX3 ) )
| ( r2_hidden @ SX2 @ SX1 ) ) ) )
| ~ ( ~ ! [SX2: $i] :
~ ( ~ ( ~ ( r2_hidden @ SX2 @ SX1 )
| ! [SX3: $i] :
( ~ ( r2_hidden @ SX3 @ SX0 )
| ( r2_hidden @ SX2 @ SX3 ) ) )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r2_hidden @ SX3 @ SX0 )
| ( r2_hidden @ SX2 @ SX3 ) )
| ( r2_hidden @ SX2 @ SX1 ) ) )
| ( SX1
= ( k1_setfam_1 @ SX0 ) ) ) ) )
| ~ ( ( SX0 != k1_xboole_0 )
| ~ ( ~ ( ( SX1
!= ( k1_setfam_1 @ SX0 ) )
| ( SX1 = k1_xboole_0 ) )
| ~ ( ( SX1 != k1_xboole_0 )
| ( SX1
= ( k1_setfam_1 @ SX0 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5806]) ).
thf(6744,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ( SX1
!= ( k1_tarski @ SX0 ) )
| ! [SX2: $i] :
~ ( ~ ( ~ ( r2_hidden @ SX2 @ SX1 )
| ( SX2 = SX0 ) )
| ~ ( ( SX2 != SX0 )
| ( r2_hidden @ SX2 @ SX1 ) ) ) )
| ~ ( ~ ! [SX2: $i] :
~ ( ~ ( ~ ( r2_hidden @ SX2 @ SX1 )
| ( SX2 = SX0 ) )
| ~ ( ( SX2 != SX0 )
| ( r2_hidden @ SX2 @ SX1 ) ) )
| ( SX1
= ( k1_tarski @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5683]) ).
thf(6745,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ~ ~ ( ~ ~ ( r1_xboole_0 @ SX0 @ SX1 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( r2_hidden @ SX2 @ SX0 )
| ~ ( r2_hidden @ SX2 @ SX1 ) ) )
| ~ ~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ( ~ ( r2_hidden @ SX2 @ SX0 )
| ~ ( r2_hidden @ SX2 @ SX1 ) )
| ~ ( r1_xboole_0 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5709]) ).
thf(6746,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ( SX1
!= ( k3_tarski @ SX0 ) )
| ! [SX2: $i] :
~ ( ~ ( ~ ( r2_hidden @ SX2 @ SX1 )
| ~ ! [SX3: $i] :
~ ~ ( ~ ( r2_hidden @ SX2 @ SX3 )
| ~ ( r2_hidden @ SX3 @ SX0 ) ) )
| ~ ( ~ ~ ! [SX3: $i] :
~ ~ ( ~ ( r2_hidden @ SX2 @ SX3 )
| ~ ( r2_hidden @ SX3 @ SX0 ) )
| ( r2_hidden @ SX2 @ SX1 ) ) ) )
| ~ ( ~ ! [SX2: $i] :
~ ( ~ ( ~ ( r2_hidden @ SX2 @ SX1 )
| ~ ! [SX3: $i] :
~ ~ ( ~ ( r2_hidden @ SX2 @ SX3 )
| ~ ( r2_hidden @ SX3 @ SX0 ) ) )
| ~ ( ~ ~ ! [SX3: $i] :
~ ~ ( ~ ( r2_hidden @ SX2 @ SX3 )
| ~ ( r2_hidden @ SX3 @ SX0 ) )
| ( r2_hidden @ SX2 @ SX1 ) ) )
| ( SX1
= ( k3_tarski @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5688]) ).
thf(6747,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( v1_xboole_0 @ SX0 )
| ~ ( v1_xboole_0 @ ( k2_xboole_0 @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5701]) ).
thf(6748,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( m1_pboole @ SX1 @ SX0 )
| ~ ( m1_pboole @ SX2 @ SX0 ) )
| ( ( k2_pboole @ SX0 @ SX1 @ SX1 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6390]) ).
thf(6749,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( v1_xboole_0 @ SX0 )
| ~ ( v1_setfam_1 @ SX0 ) )
| ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ SX0 )
| ~ ( v1_xboole_0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5803]) ).
thf(6750,plain,
( ( ! [SX0: $i] :
( ~ ( v1_xboole_0 @ SX0 )
| ( v1_fraenkel @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6613]) ).
thf(6751,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i] :
( ~ ( v3_ordinal1 @ SX1 )
| ( r2_hidden @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5984]) ).
thf(6752,plain,
( ( ! [SX0: $i] :
( ~ ( ( SX0 != k1_xboole_0 ) )
| ( r2_xboole_0 @ k1_xboole_0 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5727]) ).
thf(6753,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( v2_setfam_1 @ SX0 )
| ! [SX1: $i] :
( ~ ~ ( v1_xboole_0 @ SX1 )
| ~ ( r2_hidden @ SX1 @ SX0 ) ) )
| ~ ( ~ ! [SX1: $i] :
( ~ ~ ( v1_xboole_0 @ SX1 )
| ~ ( r2_hidden @ SX1 @ SX0 ) )
| ( v2_setfam_1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5829]) ).
thf(6754,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ( ( k2_zfmisc_1 @ SX0 @ SX1 )
!= k1_xboole_0 )
| ( SX0 = k1_xboole_0 )
| ( SX1 = k1_xboole_0 ) )
| ~ ( ~ ( ( SX0 = k1_xboole_0 )
| ( SX1 = k1_xboole_0 ) )
| ( ( k2_zfmisc_1 @ SX0 @ SX1 )
= k1_xboole_0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5754]) ).
thf(6755,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( v1_setfam_1 @ SX0 )
| ~ ( r2_hidden @ k1_xboole_0 @ SX0 ) )
| ~ ( ~ ~ ( r2_hidden @ k1_xboole_0 @ SX0 )
| ( v1_setfam_1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5828]) ).
thf(6756,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( m1_pboole @ SX1 @ SX0 )
| ~ ( m1_pboole @ SX2 @ SX0 ) )
| ~ ! [SX3: $i] :
~ ( m3_pboole @ SX3 @ SX0 @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6376]) ).
thf(6757,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( m2_relset_1 @ SX2 @ SX1 @ SX0 )
| ~ ( m2_relset_1 @ SX2 @ SX1 @ k1_xboole_0 )
| ( SX2 = k1_xboole_0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6001]) ).
thf(6758,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ! [SX3: $i] :
~ ( ~ ( ~ ~ ( r2_hidden @ SX3 @ SX0 )
| ~ ( ~ ( ~ ( r2_hidden @ SX3 @ SX1 )
| ( r2_hidden @ SX3 @ SX2 ) )
| ~ ( ~ ( r2_hidden @ SX3 @ SX2 )
| ( r2_hidden @ SX3 @ SX1 ) ) ) )
| ~ ( ~ ~ ( ~ ( ~ ( r2_hidden @ SX3 @ SX1 )
| ( r2_hidden @ SX3 @ SX2 ) )
| ~ ( ~ ( r2_hidden @ SX3 @ SX2 )
| ( r2_hidden @ SX3 @ SX1 ) ) )
| ~ ( r2_hidden @ SX3 @ SX0 ) ) )
| ( SX0
= ( k5_xboole_0 @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5708]) ).
thf(6759,plain,
( ( ! [SX0: $i] :
( ~ ~ $true
| ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ SX0 )
| ( SX1
= ( k8_subset_1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5794]) ).
thf(6760,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( m1_pboole @ SX1 @ SX0 )
| ~ ( m1_pboole @ SX2 @ SX0 ) )
| ~ ( r6_pboole @ SX0 @ SX1 @ SX2 )
| ( r6_pboole @ SX0 @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6383]) ).
thf(6761,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SX0 )
| ~ ~ ( v1_xboole_0 @ SX1 ) )
| ~ ~ ( v1_xboole_0 @ SX2 ) )
| ~ ~ ( v1_xboole_0 @ SX3 ) )
| ~ ( v1_xboole_0 @ ( k4_zfmisc_1 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5768]) ).
thf(6762,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( m2_relset_1 @ SX2 @ SX0 @ SX1 )
| ~ ( m2_relset_1 @ SX2 @ k1_xboole_0 @ SX1 )
| ( SX2 = k1_xboole_0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6000]) ).
thf(6763,plain,
( ( ~ ! [SX0: $i] :
( ~ ( m1_pboole @ SX0 @ sK1_A )
| ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ sK1_A )
| ~ ~ ( r2_hidden @ SX1 @ ( k1_closure3 @ sK1_A @ SX0 ) )
| ( ( k1_funct_1 @ SX0 @ SX1 )
= k1_xboole_0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6623]) ).
thf(6764,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( m1_pboole @ SX1 @ SX0 )
| ~ ( ~ ( ~ ( v3_relat_1 @ SX1 )
| ! [SX2: $i] :
( ~ ( r2_hidden @ SX2 @ SX0 )
| ( v1_xboole_0 @ ( k1_funct_1 @ SX1 @ SX2 ) ) ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( r2_hidden @ SX2 @ SX0 )
| ( v1_xboole_0 @ ( k1_funct_1 @ SX1 @ SX2 ) ) )
| ( v3_relat_1 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6367]) ).
thf(6765,plain,
! [SV1: $i] :
( ( ( k2_xboole_0 @ SV1 @ k1_xboole_0 )
= SV1 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5716]) ).
thf(6766,plain,
! [SV2: $i] :
( ( ( k3_xboole_0 @ SV2 @ k1_xboole_0 )
= k1_xboole_0 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5717]) ).
thf(6767,plain,
! [SV3: $i] :
( ( ( k4_xboole_0 @ SV3 @ k1_xboole_0 )
= SV3 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5718]) ).
thf(6768,plain,
! [SV4: $i] :
( ( ( k4_xboole_0 @ k1_xboole_0 @ SV4 )
= k1_xboole_0 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5719]) ).
thf(6769,plain,
! [SV5: $i] :
( ( ( k5_xboole_0 @ SV5 @ k1_xboole_0 )
= SV5 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5720]) ).
thf(6770,plain,
! [SV6: $i] :
( ( r1_tarski @ k1_xboole_0 @ SV6 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5724]) ).
thf(6771,plain,
! [SV7: $i] :
( ( ~ ( r2_xboole_0 @ SV7 @ k1_xboole_0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5728]) ).
thf(6772,plain,
! [SV8: $i] :
( ( r1_xboole_0 @ SV8 @ k1_xboole_0 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5729]) ).
thf(6773,plain,
! [SV9: $i] :
( ( ( k5_xboole_0 @ SV9 @ SV9 )
= k1_xboole_0 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5731]) ).
thf(6774,plain,
! [SV10: $i] :
( ( ! [SY417: $i] :
~ ( v1_xboole_0 @ ( k4_tarski @ SV10 @ SY417 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5732]) ).
thf(6775,plain,
! [SV11: $i] :
( ( ~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ SV11 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5762]) ).
thf(6776,plain,
! [SV12: $i] :
( ( ~ ( v1_xboole_0 @ ( k1_tarski @ SV12 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5763]) ).
thf(6777,plain,
! [SV13: $i] :
( ( ! [SY418: $i] :
~ ( v1_xboole_0 @ ( k2_tarski @ SV13 @ SY418 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5764]) ).
thf(6778,plain,
! [SV14: $i] :
( ( ( k1_subset_1 @ SV14 )
= k1_xboole_0 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5772]) ).
thf(6779,plain,
! [SV15: $i] :
( ( m1_subset_1 @ k1_xboole_0 @ ( k1_zfmisc_1 @ SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5776]) ).
thf(6780,plain,
! [SV16: $i] :
( ( m1_subset_1 @ ( k8_subset_1 @ SV16 ) @ SV16 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5801]) ).
thf(6781,plain,
! [SV17: $i] :
( ( r1_setfam_1 @ k1_xboole_0 @ SV17 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5814]) ).
thf(6782,plain,
! [SV18: $i] :
( ( ( k7_relat_1 @ k1_xboole_0 @ SV18 )
= k1_xboole_0 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5867]) ).
thf(6783,plain,
! [SV19: $i] :
( ( ( k8_relat_1 @ SV19 @ k1_xboole_0 )
= k1_xboole_0 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5870]) ).
thf(6784,plain,
! [SV20: $i] :
( ( ( k9_relat_1 @ k1_xboole_0 @ SV20 )
= k1_xboole_0 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5873]) ).
thf(6785,plain,
! [SV21: $i] :
( ( ( k10_relat_1 @ k1_xboole_0 @ SV21 )
= k1_xboole_0 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5877]) ).
thf(6786,plain,
! [SV22: $i] :
( ( ~ ( v1_xboole_0 @ ( k1_ordinal1 @ SV22 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5960]) ).
thf(6787,plain,
! [SV23: $i] :
( ( r2_hidden @ SV23 @ ( k1_ordinal1 @ SV23 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5970]) ).
thf(6788,plain,
! [SV24: $i] :
( ( m1_ordinal1 @ k1_xboole_0 @ SV24 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5989]) ).
thf(6789,plain,
! [SV25: $i] :
( ( ! [SY419: $i] : ( m2_relset_1 @ k1_xboole_0 @ SV25 @ SY419 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5999]) ).
thf(6790,plain,
! [SV26: $i] :
( ( ! [SY420: $i] :
~ ( v1_xboole_0 @ ( k4_partfun1 @ SV26 @ SY420 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6010]) ).
thf(6791,plain,
! [SV27: $i] :
( ( ! [SY421: $i] :
( ( k3_partfun1 @ k1_xboole_0 @ SV27 @ SY421 )
= k1_xboole_0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6043]) ).
thf(6792,plain,
! [SV28: $i] :
( ( ~ ( v1_xboole_0 @ ( k1_funct_2 @ SV28 @ SV28 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6093]) ).
thf(6793,plain,
( ( v1_xboole_0 @ k1_numbers )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6221]) ).
thf(6794,plain,
( ( v1_xboole_0 @ k2_numbers )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6222]) ).
thf(6795,plain,
( ( v1_xboole_0 @ k3_numbers )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6223]) ).
thf(6796,plain,
( ( v1_xboole_0 @ k4_numbers )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6224]) ).
thf(6797,plain,
! [SV29: $i] :
( ( ~ ( v1_xboole_0 @ ( k13_finseq_1 @ SV29 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6294]) ).
thf(6798,plain,
! [SV30: $i] :
( ( m2_finseq_1 @ k1_xboole_0 @ SV30 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6300]) ).
thf(6799,plain,
! [SV31: $i] :
( ( ( k6_finseq_1 @ SV31 )
= k1_xboole_0 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6301]) ).
thf(6800,plain,
! [SV32: $i] :
( ( r2_hidden @ k1_xboole_0 @ ( k13_finseq_1 @ SV32 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6309]) ).
thf(6801,plain,
! [SV33: $i] :
( ( ( k5_card_3 @ SV33 @ k1_xboole_0 )
= k1_xboole_0 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6339]) ).
thf(6802,plain,
! [SV34: $i] :
( ( ! [SY422: $i] :
( ( k1_funct_1 @ ( k1_pboole @ SY422 ) @ SV34 )
= k1_xboole_0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6350]) ).
thf(6803,plain,
! [SV35: $i] :
( ( m1_pboole @ ( k1_pboole @ SV35 ) @ SV35 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6387]) ).
thf(6804,plain,
! [SV36: $i] :
( ( ( k8_funct_6 @ k1_xboole_0 @ SV36 )
= k1_xboole_0 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6420]) ).
thf(6805,plain,
! [SV37: $i] :
( ( ( k9_funct_6 @ SV37 @ k1_xboole_0 )
= k1_xboole_0 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6421]) ).
thf(6806,plain,
! [SV38: $i] :
( ( ! [SY423: $i] : ( m1_pboole @ ( k2_pre_circ @ SV38 @ SY423 ) @ SV38 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6430]) ).
thf(6807,plain,
( ( v1_xboole_0 @ sK1_A )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6622]) ).
thf(6808,plain,
! [SV39: $i] :
( ( ! [SY424: $i] :
( ~ ( m1_subset_1 @ SY424 @ SV39 )
| ! [SY425: $i,SY426: $i] :
( ( ( g2_struct_0 @ SV39 @ SY424 )
!= ( g2_struct_0 @ SY425 @ SY426 ) )
| ~ ( ( SV39 != SY425 )
| ( SY424 != SY426 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6624]) ).
thf(6809,plain,
! [SV40: $i] :
( ( ! [SY427: $i] :
( ~ ( v3_ordinal1 @ SY427 )
| ~ ( r2_hidden @ SV40 @ SY427 )
| ( v3_ordinal1 @ SV40 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6625]) ).
thf(6810,plain,
! [SV41: $i] :
( ( ! [SY428: $i] :
( ~ ( m1_pboole @ SY428 @ SV41 )
| ! [SY429: $i] :
( ~ ( m4_pboole @ SY429 @ SV41 @ SY428 )
| ( m1_pboole @ SY429 @ SV41 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6626]) ).
thf(6811,plain,
! [SV42: $i] :
( ( ! [SY430: $i] :
( ~ ( m1_pboole @ SY430 @ SV42 )
| ~ ! [SY431: $i] :
~ ( m4_pboole @ SY431 @ SV42 @ SY430 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6627]) ).
thf(6812,plain,
( ( ! [SX0: $i] :
~ ~ ( ~ ~ ( v1_xboole_0 @ SX0 )
| ~ ( v1_setfam_1 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6628]) ).
thf(6813,plain,
! [SV43: $i] :
( ( ! [SY432: $i,SY433: $i] :
~ ( ~ ( ( SY433
!= ( k3_xboole_0 @ SV43 @ SY432 ) )
| ! [SY434: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY434 @ SY433 )
| ~ ( ~ ( r2_hidden @ SY434 @ SV43 )
| ~ ( r2_hidden @ SY434 @ SY432 ) ) )
| ~ ( ~ ~ ( ~ ( r2_hidden @ SY434 @ SV43 )
| ~ ( r2_hidden @ SY434 @ SY432 ) )
| ( r2_hidden @ SY434 @ SY433 ) ) ) )
| ~ ( ~ ! [SY435: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY435 @ SY433 )
| ~ ( ~ ( r2_hidden @ SY435 @ SV43 )
| ~ ( r2_hidden @ SY435 @ SY432 ) ) )
| ~ ( ~ ~ ( ~ ( r2_hidden @ SY435 @ SV43 )
| ~ ( r2_hidden @ SY435 @ SY432 ) )
| ( r2_hidden @ SY435 @ SY433 ) ) )
| ( SY433
= ( k3_xboole_0 @ SV43 @ SY432 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6629]) ).
thf(6814,plain,
! [SV44: $i] :
( ( ! [SY436: $i,SY437: $i] :
( ~ ~ ( ~ ( m1_pboole @ SY436 @ SV44 )
| ~ ( m1_pboole @ SY437 @ SV44 ) )
| ( m1_pboole @ ( k11_pboole @ SV44 @ SY436 @ SY437 ) @ SV44 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6630]) ).
thf(6815,plain,
! [SV45: $i] :
( ( ~ ( m1_pboole @ SV45 @ k1_xboole_0 )
| ( SV45 = k1_xboole_0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6631]) ).
thf(6816,plain,
! [SV46: $i] :
( ( ~ ! [SY438: $i] :
~ ( m1_subset_1 @ SY438 @ SV46 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6632]) ).
thf(6817,plain,
! [SV47: $i] :
( ( ! [SY439: $i] :
( ( ( k2_xboole_0 @ SV47 @ SY439 )
!= k1_xboole_0 )
| ( SV47 = k1_xboole_0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6633]) ).
thf(6818,plain,
! [SV48: $i] :
( ( ! [SY440: $i,SY441: $i] :
( ~ ~ ( ~ ( m1_pboole @ SY440 @ SV48 )
| ~ ( m1_pboole @ SY441 @ SV48 ) )
| ( ( k2_pboole @ SV48 @ SY440 @ SY441 )
= ( k2_pboole @ SV48 @ SY441 @ SY440 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6634]) ).
thf(6819,plain,
! [SV49: $i] :
( ( ~ ( ~ ( ~ ( v2_ordinal1 @ SV49 )
| ! [SY442: $i,SY443: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ SY442 @ SV49 )
| ~ ( r2_hidden @ SY443 @ SV49 ) )
| ~ ~ ( r2_hidden @ SY442 @ SY443 ) )
| ~ ( ( SY442 != SY443 ) ) )
| ~ ~ ( r2_hidden @ SY443 @ SY442 ) ) )
| ~ ( ~ ! [SY444: $i,SY445: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ SY444 @ SV49 )
| ~ ( r2_hidden @ SY445 @ SV49 ) )
| ~ ~ ( r2_hidden @ SY444 @ SY445 ) )
| ~ ( ( SY444 != SY445 ) ) )
| ~ ~ ( r2_hidden @ SY445 @ SY444 ) )
| ( v2_ordinal1 @ SV49 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6635]) ).
thf(6820,plain,
! [SV50: $i] :
( ( ! [SY446: $i,SY447: $i,SY448: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ SV50 @ SY446 )
| ~ ( r2_hidden @ SY446 @ SY447 ) )
| ~ ( r2_hidden @ SY447 @ SY448 ) )
| ~ ( r2_hidden @ SY448 @ SV50 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6636]) ).
thf(6821,plain,
! [SV51: $i] :
( ( ~ ( r2_hidden @ k1_xboole_0 @ SV51 )
| ( ( k1_setfam_1 @ SV51 )
= k1_xboole_0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6637]) ).
thf(6822,plain,
! [SV52: $i] :
( ( ! [SY449: $i,SY450: $i] :
( ~ ~ ( ~ ( m1_pboole @ SY449 @ SV52 )
| ~ ( m1_pboole @ SY450 @ SV52 ) )
| ! [SY451: $i] :
( ~ ( m3_pboole @ SY451 @ SV52 @ SY449 @ SY450 )
| ( m1_pboole @ SY451 @ SV52 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6638]) ).
thf(6823,plain,
! [SV53: $i] :
( ( ~ ( ( SV53 != k1_xboole_0 ) )
| ( ( k1_funct_2 @ SV53 @ k1_xboole_0 )
= k1_xboole_0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6639]) ).
thf(6824,plain,
! [SV54: $i] :
( ( ! [SY452: $i] :
( ~ ( m1_subset_1 @ SY452 @ SV54 )
| ~ ! [SY453: $i] :
~ ( m3_realset1 @ SY453 @ SV54 @ SY452 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6640]) ).
thf(6825,plain,
! [SV55: $i] :
( ( ~ ~ ( v1_xboole_0 @ SV55 )
| ~ ! [SY454: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY454 @ ( k1_zfmisc_1 @ SV55 ) )
| ~ ~ ( v1_xboole_0 @ SY454 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6641]) ).
thf(6826,plain,
! [SV56: $i] :
( ( ~ ( r1_setfam_1 @ SV56 @ k1_xboole_0 )
| ( SV56 = k1_xboole_0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6642]) ).
thf(6827,plain,
! [SV57: $i] :
( ( ! [SY455: $i] :
( ~ ~ ( ~ ! [SY456: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY456 @ SV57 )
| ( p1_s3_xboole_0 @ SY456 ) )
| ~ ( ~ ( p1_s3_xboole_0 @ SY456 )
| ( r2_hidden @ SY456 @ SV57 ) ) )
| ~ ! [SX2: $i] :
~ ( ~ ( ~ ( r2_hidden @ SX2 @ SY455 )
| ( p1_s3_xboole_0 @ SX2 ) )
| ~ ( ~ ( p1_s3_xboole_0 @ SX2 )
| ( r2_hidden @ SX2 @ SY455 ) ) ) )
| ( SV57 = SY455 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6643]) ).
thf(6828,plain,
! [SV58: $i] :
( ( ! [SY458: $i] :
( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV58 )
| ~ ~ ( v1_xboole_0 @ SY458 ) )
| ~ ( r2_subset_1 @ SV58 @ SV58 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6644]) ).
thf(6829,plain,
! [SV59: $i] :
( ( ~ ~ ( v1_xboole_0 @ SV59 )
| ! [SY459: $i] :
( ~ ( m1_pboole @ SY459 @ SV59 )
| ! [SY460: $i] :
~ ( ~ ( ( SY460
!= ( k1_closure3 @ SV59 @ SY459 ) )
| ( SY460
= ( a_2_0_closure3 @ SV59 @ SY459 ) ) )
| ~ ( ( SY460
!= ( a_2_0_closure3 @ SV59 @ SY459 ) )
| ( SY460
= ( k1_closure3 @ SV59 @ SY459 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6645]) ).
thf(6830,plain,
! [SV60: $i] :
( ( ~ ( ~ ~ ~ ( ~ ~ ( r1_xboole_0 @ SV60 @ SV60 )
| ( SV60 != k1_xboole_0 ) )
| ~ ~ ~ ( ~ ( ( SV60 != k1_xboole_0 ) )
| ~ ( r1_xboole_0 @ SV60 @ SV60 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6646]) ).
thf(6831,plain,
! [SV61: $i] :
( ( ! [SY461: $i,SY462: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV61 )
| ~ ( v2_relat_1 @ SY461 ) )
| ~ ( m1_pboole @ SY461 @ SV61 ) )
| ~ ( m1_subset_1 @ SY462 @ SV61 ) )
| ~ ( v1_xboole_0 @ ( k1_funct_1 @ SY461 @ SY462 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6647]) ).
thf(6832,plain,
! [SV62: $i] :
( ( ! [SY463: $i,SY464: $i] :
( ~ ~ ( ~ ( m1_pboole @ SY463 @ SV62 )
| ~ ( m1_pboole @ SY464 @ SV62 ) )
| ( r2_pboole @ SV62 @ SY463 @ SY463 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6648]) ).
thf(6833,plain,
! [SV63: $i] :
( ( ! [SY465: $i] :
( ~ ( m1_pboole @ SY465 @ SV63 )
| ! [SY466: $i] :
( ~ ( r2_hidden @ SY466 @ SV63 )
| ( m1_subset_1 @ ( k1_funct_1 @ SY465 @ SY466 ) @ ( k2_relat_1 @ SY465 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6649]) ).
thf(6834,plain,
! [SV64: $i] :
( ( ~ ( v3_ordinal1 @ SV64 )
| ! [SY467: $i] :
( ~ ( v3_ordinal1 @ SY467 )
| ~ ~ ( ~ ~ ( ~ ~ ( r2_hidden @ SV64 @ SY467 )
| ~ ( ( SV64 != SY467 ) ) )
| ~ ~ ( r2_hidden @ SY467 @ SV64 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6650]) ).
thf(6835,plain,
! [SV65: $i] :
( ( ! [SY468: $i,SY469: $i] :
( ~ ~ ( ~ ~ ( v1_xboole_0 @ SY468 )
| ~ ( m1_pboole @ SY469 @ SY468 ) )
| ~ ( ~ ( ~ ( r2_hidden @ SV65 @ ( a_2_0_closure3 @ SY468 @ SY469 ) )
| ~ ! [SY470: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY470 @ SY468 )
| ( SV65 != SY470 ) )
| ~ ( ( ( k1_funct_1 @ SY469 @ SY470 )
!= k1_xboole_0 ) ) ) )
| ~ ( ~ ~ ! [SY471: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY471 @ SY468 )
| ( SV65 != SY471 ) )
| ~ ( ( ( k1_funct_1 @ SY469 @ SY471 )
!= k1_xboole_0 ) ) )
| ( r2_hidden @ SV65 @ ( a_2_0_closure3 @ SY468 @ SY469 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6651]) ).
thf(6836,plain,
! [SV66: $i] :
( ( ! [SY472: $i] :
( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV66 )
| ~ ~ ( v1_xboole_0 @ SY472 ) )
| ~ ( r1_subset_1 @ SV66 @ SY472 )
| ( r1_subset_1 @ SY472 @ SV66 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6652]) ).
thf(6837,plain,
! [SV67: $i] :
( ( ~ ~ ( v1_xboole_0 @ SV67 )
| ( ( k6_relat_1 @ SV67 )
!= k1_xboole_0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6653]) ).
thf(6838,plain,
( ( ! [SX0: $i] :
~ ~ ( ~ ~ ( v1_xboole_0 @ SX0 )
| ~ ( v1_relat_1 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6654]) ).
thf(6839,plain,
! [SV68: $i] :
( ( ! [SY473: $i,SY474: $i,SY475: $i] :
( ( ( k2_zfmisc_1 @ SV68 @ SY473 )
!= ( k2_zfmisc_1 @ SY474 @ SY475 ) )
| ( SV68 = k1_xboole_0 )
| ( SY473 = k1_xboole_0 )
| ~ ( ( SV68 != SY474 )
| ( SY473 != SY475 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6655]) ).
thf(6840,plain,
! [SV69: $i] :
( ( ! [SY476: $i,SY477: $i] :
( ~ ~ ( ~ ( m1_pboole @ SY476 @ SV69 )
| ~ ( m1_pboole @ SY477 @ SV69 ) )
| ( m1_pboole @ ( k2_pboole @ SV69 @ SY476 @ SY477 ) @ SV69 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6656]) ).
thf(6841,plain,
! [SV70: $i] :
( ( ~ ( ~ ( ~ ( v1_xboole_0 @ SV70 )
| ( SV70 = k1_xboole_0 ) )
| ~ ( ( SV70 != k1_xboole_0 )
| ( v1_xboole_0 @ SV70 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6657]) ).
thf(6842,plain,
! [SV71: $i] :
( ( ! [SY478: $i] :
( ~ ~ ( v1_xboole_0 @ SV71 )
| ~ ( v1_xboole_0 @ ( k2_xboole_0 @ SV71 @ SY478 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6658]) ).
thf(6843,plain,
! [SV72: $i] :
( ( ! [SY479: $i,SY480: $i] :
( ~ ~ ( ~ ( m1_pboole @ SY479 @ SV72 )
| ~ ( m1_pboole @ SY480 @ SV72 ) )
| ( m1_pboole @ ( k4_pboole @ SV72 @ SY479 @ SY480 ) @ SV72 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6659]) ).
thf(6844,plain,
! [SV73: $i] :
( ( ! [SY481: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY482: $i] :
~ ~ ( ~ ( r2_hidden @ SY482 @ SV73 )
| ~ ! [SX3: $i,SX4: $i] :
( SY482
!= ( k4_tarski @ SX3 @ SX4 ) ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( r2_hidden @ SX2 @ SY481 )
| ~ ! [SX3: $i,SX4: $i] :
( SX2
!= ( k4_tarski @ SX3 @ SX4 ) ) ) )
| ~ ! [SY488: $i,SY489: $i] :
~ ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY488 @ SY489 ) @ SV73 )
| ( r2_hidden @ ( k4_tarski @ SY488 @ SY489 ) @ SY481 ) )
| ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY488 @ SY489 ) @ SY481 )
| ( r2_hidden @ ( k4_tarski @ SY488 @ SY489 ) @ SV73 ) ) ) )
| ( SV73 = SY481 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6660]) ).
thf(6845,plain,
! [SV74: $i] :
( ( ! [SY490: $i] :
( ~ ( m1_pboole @ SY490 @ SV74 )
| ~ ! [SY491: $i] :
( ~ ( r2_hidden @ SY491 @ SV74 )
| ( ( k1_funct_1 @ SY490 @ SY491 )
= k1_xboole_0 ) )
| ( SY490
= ( k1_pboole @ SV74 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6661]) ).
thf(6846,plain,
! [SV75: $i] :
( ( ~ ! [SY492: $i] :
~ ~ ( ~ ( m1_finseq_2 @ SY492 @ SV75 )
| ~ ~ ( v1_xboole_0 @ SY492 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6662]) ).
thf(6847,plain,
! [SV76: $i] :
( ( ! [SY493: $i] :
( ~ ( m1_pboole @ SY493 @ SV76 )
| ! [SY494: $i] :
( ~ ( m1_pboole @ SY494 @ SV76 )
| ~ ( ~ ( ~ ( r1_pboole @ SV76 @ SY493 @ SY494 )
| ! [SY495: $i] :
( ~ ( r2_hidden @ SY495 @ SV76 )
| ( r2_hidden @ ( k1_funct_1 @ SY493 @ SY495 ) @ ( k1_funct_1 @ SY494 @ SY495 ) ) ) )
| ~ ( ~ ! [SY496: $i] :
( ~ ( r2_hidden @ SY496 @ SV76 )
| ( r2_hidden @ ( k1_funct_1 @ SY493 @ SY496 ) @ ( k1_funct_1 @ SY494 @ SY496 ) ) )
| ( r1_pboole @ SV76 @ SY493 @ SY494 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6663]) ).
thf(6848,plain,
! [SV77: $i] :
( ( ! [SY497: $i,SY498: $i] :
( ~ ~ ( ~ ( m1_pboole @ SY497 @ SV77 )
| ~ ( m1_pboole @ SY498 @ SV77 ) )
| ( ( k3_pboole @ SV77 @ SY497 @ SY497 )
= SY497 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6664]) ).
thf(6849,plain,
! [SV78: $i] :
( ( ! [SY499: $i,SY500: $i] :
( ~ ( r2_hidden @ SY499 @ SV78 )
| ( ( k1_funct_1 @ ( k2_funcop_1 @ SV78 @ SY500 ) @ SY499 )
= SY500 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6665]) ).
thf(6850,plain,
! [SV79: $i] :
( ( ! [SY501: $i,SY502: $i] :
~ ~ ( ~ ~ ( ~ ( r2_hidden @ SV79 @ SY501 )
| ~ ( m1_subset_1 @ SY501 @ ( k1_zfmisc_1 @ SY502 ) ) )
| ~ ( v1_xboole_0 @ SY502 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6666]) ).
thf(6851,plain,
( ( ! [SX0: $i] :
~ ~ ( ~ ~ ( v1_xboole_0 @ SX0 )
| ~ ( v1_finset_1 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6667]) ).
thf(6852,plain,
! [SV80: $i] :
( ( ! [SY503: $i,SY504: $i,SY505: $i,SY506: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ SV80 @ SY503 )
| ~ ( r2_hidden @ SY503 @ SY504 ) )
| ~ ( r2_hidden @ SY504 @ SY505 ) )
| ~ ( r2_hidden @ SY505 @ SY506 ) )
| ~ ( r2_hidden @ SY506 @ SV80 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6668]) ).
thf(6853,plain,
! [SV81: $i] :
( ( ! [SY507: $i,SY508: $i] :
( ~ ~ ( ~ ( m1_pboole @ SY507 @ SV81 )
| ~ ( m1_pboole @ SY508 @ SV81 ) )
| ~ ( r5_pboole @ SV81 @ SY507 @ SY508 )
| ( r5_pboole @ SV81 @ SY508 @ SY507 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6669]) ).
thf(6854,plain,
! [SV82: $i] :
( ( ! [SY509: $i,SY510: $i] :
~ ( ~ ( ( SY510
!= ( k2_xboole_0 @ SV82 @ SY509 ) )
| ! [SY511: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY511 @ SY510 )
| ( r2_hidden @ SY511 @ SV82 )
| ( r2_hidden @ SY511 @ SY509 ) )
| ~ ( ~ ( ( r2_hidden @ SY511 @ SV82 )
| ( r2_hidden @ SY511 @ SY509 ) )
| ( r2_hidden @ SY511 @ SY510 ) ) ) )
| ~ ( ~ ! [SY512: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY512 @ SY510 )
| ( r2_hidden @ SY512 @ SV82 )
| ( r2_hidden @ SY512 @ SY509 ) )
| ~ ( ~ ( ( r2_hidden @ SY512 @ SV82 )
| ( r2_hidden @ SY512 @ SY509 ) )
| ( r2_hidden @ SY512 @ SY510 ) ) )
| ( SY510
= ( k2_xboole_0 @ SV82 @ SY509 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6670]) ).
thf(6855,plain,
! [SV83: $i] :
( ( ~ ( r1_tarski @ SV83 @ k1_xboole_0 )
| ( SV83 = k1_xboole_0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6671]) ).
thf(6856,plain,
! [SV84: $i] :
( ( ! [SY513: $i,SY514: $i,SY515: $i,SY516: $i,SY517: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ SV84 @ SY513 )
| ~ ( r2_hidden @ SY513 @ SY514 ) )
| ~ ( r2_hidden @ SY514 @ SY515 ) )
| ~ ( r2_hidden @ SY515 @ SY516 ) )
| ~ ( r2_hidden @ SY516 @ SY517 ) )
| ~ ( r2_hidden @ SY517 @ SV84 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6672]) ).
thf(6857,plain,
! [SV85: $i] :
( ( ! [SY518: $i] :
~ ( ~ ( ~ ~ ( v1_xboole_0 @ SV85 )
| ~ ( ~ ( ~ ( m1_subset_1 @ SY518 @ SV85 )
| ( r2_hidden @ SY518 @ SV85 ) )
| ~ ( ~ ( r2_hidden @ SY518 @ SV85 )
| ( m1_subset_1 @ SY518 @ SV85 ) ) ) )
| ~ ( ~ ( v1_xboole_0 @ SV85 )
| ~ ( ~ ( ~ ( m1_subset_1 @ SY518 @ SV85 )
| ( v1_xboole_0 @ SY518 ) )
| ~ ( ~ ( v1_xboole_0 @ SY518 )
| ( m1_subset_1 @ SY518 @ SV85 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6673]) ).
thf(6858,plain,
! [SV86: $i] :
( ( ! [SY519: $i,SY520: $i] :
( ~ ~ ( ~ ( m1_pboole @ SY519 @ SV86 )
| ~ ( m1_pboole @ SY520 @ SV86 ) )
| ( ( k3_pboole @ SV86 @ SY519 @ SY520 )
= ( k3_pboole @ SV86 @ SY520 @ SY519 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6674]) ).
thf(6859,plain,
! [SV87: $i] :
( ( ~ ( v1_xboole_0 @ SV87 )
| ( v1_relat_1 @ SV87 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6675]) ).
thf(6860,plain,
! [SV88: $i] :
( ( ~ ! [SY521: $i] :
~ ( m1_pboole @ SY521 @ SV88 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6676]) ).
thf(6861,plain,
! [SV89: $i] :
( ( ! [SY522: $i] :
~ ~ ( ~ ( r2_hidden @ SV89 @ SY522 )
| ~ ( v1_xboole_0 @ SY522 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6677]) ).
thf(6862,plain,
! [SV90: $i] :
( ( ! [SY523: $i] :
( ~ ( m1_pboole @ SY523 @ SV90 )
| ! [SY524: $i] :
( ~ ( m1_pboole @ SY524 @ SV90 )
| ~ ! [SY525: $i] :
( ~ ( r2_hidden @ SY525 @ SV90 )
| ( ( k1_funct_1 @ SY523 @ SY525 )
= ( k1_funct_1 @ SY524 @ SY525 ) ) )
| ( SY523 = SY524 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6678]) ).
thf(6863,plain,
! [SV91: $i] :
( ( ! [SY526: $i,SY527: $i] :
( ~ ~ ( ~ ( r2_hidden @ SV91 @ SY526 )
| ~ ( m1_subset_1 @ SY526 @ ( k1_zfmisc_1 @ SY527 ) ) )
| ( m1_subset_1 @ SV91 @ SY527 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6679]) ).
thf(6864,plain,
! [SV92: $i] :
( ( ! [SY528: $i,SY529: $i] :
( ~ ~ ( ~ ( m1_pboole @ SY528 @ SV92 )
| ~ ( m1_pboole @ SY529 @ SV92 ) )
| ( m1_pboole @ ( k12_pboole @ SV92 @ SY528 @ SY529 ) @ SV92 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6680]) ).
thf(6865,plain,
! [SV93: $i] :
( ( ~ ( ~ ~ ~ ( ~ ~ ( v1_realset1 @ SV93 )
| ~ ! [SY530: $i,SY531: $i] :
~ ~ ( ~ ~ ( ~ ( r2_hidden @ SY530 @ SV93 )
| ~ ( r2_hidden @ SY531 @ SV93 ) )
| ~ ( ( SY530 != SY531 ) ) ) )
| ~ ~ ~ ( ~ ~ ! [SY532: $i] :
~ ~ ! [SY533: $i] :
~ ~ ( ~ ~ ( ~ ( r2_hidden @ SY532 @ SV93 )
| ~ ( r2_hidden @ SY533 @ SV93 ) )
| ~ ( ( SY532 != SY533 ) ) )
| ~ ( v1_realset1 @ SV93 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6681]) ).
thf(6866,plain,
( ( ! [SX0: $i] :
~ ~ ( ~ ~ ( v1_xboole_0 @ SX0 )
| ~ ~ ( v1_realset1 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6682]) ).
thf(6867,plain,
! [SV94: $i] :
( ( ! [SY534: $i] :
( ( ( k2_zfmisc_1 @ SV94 @ SY534 )
!= ( k2_zfmisc_1 @ SY534 @ SV94 ) )
| ( SV94 = k1_xboole_0 )
| ( SY534 = k1_xboole_0 )
| ( SV94 = SY534 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6683]) ).
thf(6868,plain,
! [SV95: $i] :
( ( ! [SY535: $i] :
~ ( ~ ( ~ ( r2_hidden @ SV95 @ ( k1_ordinal1 @ SY535 ) )
| ( r2_hidden @ SV95 @ SY535 )
| ( SV95 = SY535 ) )
| ~ ( ~ ( ( r2_hidden @ SV95 @ SY535 )
| ( SV95 = SY535 ) )
| ( r2_hidden @ SV95 @ ( k1_ordinal1 @ SY535 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6684]) ).
thf(6869,plain,
! [SV96: $i] :
( ( ~ ~ ( v2_setfam_1 @ SV96 )
| ~ ( v1_xboole_0 @ SV96 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6685]) ).
thf(6870,plain,
! [SV97: $i] :
( ( ~ ! [SY536: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY536 @ SV97 )
| ( v3_ordinal1 @ SY536 ) )
| ~ ( ~ ( v3_ordinal1 @ SY536 )
| ( r2_hidden @ SY536 @ SV97 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6686]) ).
thf(6871,plain,
! [SV98: $i] :
( ( ! [SY537: $i] :
( ~ ( m1_pboole @ SY537 @ SV98 )
| ( m1_pboole @ ( k1_mboolean @ SV98 @ SY537 ) @ SV98 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6687]) ).
thf(6872,plain,
! [SV99: $i] :
( ( ! [SY538: $i] :
( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV99 )
| ~ ~ ( v1_xboole_0 @ SY538 ) )
| ~ ( r1_subset_1 @ SV99 @ SV99 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6688]) ).
thf(6873,plain,
! [SV100: $i] :
( ( ! [SY539: $i,SY540: $i] :
( ~ ~ ( ~ ( m1_pboole @ SY539 @ SV100 )
| ~ ( m1_pboole @ SY540 @ SV100 ) )
| ~ ( r4_pboole @ SV100 @ SY539 @ SY540 )
| ( r4_pboole @ SV100 @ SY540 @ SY539 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6689]) ).
thf(6874,plain,
! [SV101: $i] :
( ( ! [SY541: $i,SY542: $i,SY543: $i] :
( ~ ( ( SV101 != SY541 ) )
| ~ ( ( ( k1_funct_1 @ ( k4_funct_4 @ SV101 @ SY541 @ SY542 @ SY543 ) @ SV101 )
!= SY542 )
| ( ( k1_funct_1 @ ( k4_funct_4 @ SV101 @ SY541 @ SY542 @ SY543 ) @ SY541 )
!= SY543 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6690]) ).
thf(6875,plain,
! [SV102: $i] :
( ( ! [SY544: $i] :
( ~ ( m1_pboole @ SY544 @ SV102 )
| ! [SY545: $i] :
( ~ ( m2_pboole @ SY545 @ SV102 @ SY544 )
| ( m1_pboole @ SY545 @ SV102 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6691]) ).
thf(6876,plain,
! [SV103: $i] :
( ( ! [SY546: $i] :
~ ~ ( ~ ( r2_hidden @ SV103 @ SY546 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( r2_hidden @ SX2 @ SY546 )
| ~ ! [SX3: $i] :
~ ~ ( ~ ( r2_hidden @ SX3 @ SY546 )
| ~ ( r2_hidden @ SX3 @ SX2 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6692]) ).
thf(6877,plain,
! [SV104: $i] :
( ( ! [SY549: $i,SY550: $i] :
~ ( ~ ( ( SY550
!= ( k4_xboole_0 @ SV104 @ SY549 ) )
| ! [SY551: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY551 @ SY550 )
| ~ ( ~ ( r2_hidden @ SY551 @ SV104 )
| ~ ~ ( r2_hidden @ SY551 @ SY549 ) ) )
| ~ ( ~ ~ ( ~ ( r2_hidden @ SY551 @ SV104 )
| ~ ~ ( r2_hidden @ SY551 @ SY549 ) )
| ( r2_hidden @ SY551 @ SY550 ) ) ) )
| ~ ( ~ ! [SY552: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY552 @ SY550 )
| ~ ( ~ ( r2_hidden @ SY552 @ SV104 )
| ~ ~ ( r2_hidden @ SY552 @ SY549 ) ) )
| ~ ( ~ ~ ( ~ ( r2_hidden @ SY552 @ SV104 )
| ~ ~ ( r2_hidden @ SY552 @ SY549 ) )
| ( r2_hidden @ SY552 @ SY550 ) ) )
| ( SY550
= ( k4_xboole_0 @ SV104 @ SY549 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6693]) ).
thf(6878,plain,
! [SV105: $i] :
( ( ! [SY553: $i] :
( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV105 )
| ~ ~ ( v1_xboole_0 @ SY553 ) )
| ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ SV105 @ SY553 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6694]) ).
thf(6879,plain,
! [SV106: $i] :
( ( ! [SY554: $i,SY555: $i] :
( ~ ~ ( ~ ( m1_pboole @ SY554 @ SV106 )
| ~ ( m1_pboole @ SY555 @ SV106 ) )
| ( m1_pboole @ ( k3_pboole @ SV106 @ SY554 @ SY555 ) @ SV106 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6695]) ).
thf(6880,plain,
( ( ~ ( v1_xboole_0 @ k1_xboole_0 )
| ~ ( v1_relat_1 @ k1_xboole_0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6696]) ).
thf(6881,plain,
! [SV107: $i] :
( ( ! [SY556: $i,SY557: $i] :
( ~ ~ ( ~ ( m1_pboole @ SY556 @ SV107 )
| ~ ( m1_pboole @ SY557 @ SV107 ) )
| ( ( k5_pboole @ SV107 @ SY556 @ SY557 )
= ( k5_pboole @ SV107 @ SY557 @ SY556 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6697]) ).
thf(6882,plain,
! [SV108: $i] :
( ( ! [SY558: $i] :
~ ~ ( ~ ~ ( ~ ( v1_xboole_0 @ SV108 )
| ~ ( ( SV108 != SY558 ) ) )
| ~ ( v1_xboole_0 @ SY558 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6698]) ).
thf(6883,plain,
! [SV109: $i] :
( ( ! [SY559: $i] :
( ~ ( m1_pboole @ SY559 @ SV109 )
| ( m1_pboole @ ( k2_mboolean @ SV109 @ SY559 ) @ SV109 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6699]) ).
thf(6884,plain,
! [SV110: $i] :
( ( ! [SY560: $i,SY561: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV110 )
| ~ ( m1_pboole @ SY560 @ SV110 ) )
| ~ ( m1_pboole @ SY561 @ SV110 ) )
| ~ ( r3_pboole @ SV110 @ SY560 @ SY561 )
| ~ ( r3_pboole @ SV110 @ SY561 @ SY560 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6700]) ).
thf(6885,plain,
! [SV111: $i] :
( ( ~ ( v1_xboole_0 @ SV111 )
| ( v1_funct_1 @ SV111 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6701]) ).
thf(6886,plain,
! [SV112: $i] :
( ( ! [SY562: $i] :
( ~ ( m1_subset_1 @ SV112 @ SY562 )
| ( v1_xboole_0 @ SY562 )
| ( r2_hidden @ SV112 @ SY562 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6702]) ).
thf(6887,plain,
! [SV113: $i] :
( ( ~ ! [SY563: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY563 @ ( k1_zfmisc_1 @ SV113 ) )
| ~ ( v1_xboole_0 @ SY563 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6703]) ).
thf(6888,plain,
! [SV114: $i] :
( ( ! [SY564: $i] :
( ~ ( m1_subset_1 @ SY564 @ ( k1_zfmisc_1 @ SV114 ) )
| ~ ~ ( ~ ( ( SY564 != k1_xboole_0 ) )
| ~ ! [SY565: $i] :
( ~ ( m1_subset_1 @ SY565 @ SV114 )
| ~ ( r2_hidden @ SY565 @ SY564 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6704]) ).
thf(6889,plain,
( ( ! [SX0: $i] :
~ ~ ( v1_xboole_0 @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6705]) ).
thf(6890,plain,
! [SV115: $i] :
( ( ~ ( ~ ( ( SV115 != k1_xboole_0 )
| ! [SY566: $i] :
~ ( r2_hidden @ SY566 @ SV115 ) )
| ~ ( ~ ! [SY567: $i] :
~ ( r2_hidden @ SY567 @ SV115 )
| ( SV115 = k1_xboole_0 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6706]) ).
thf(6891,plain,
( ( ! [SX0: $i] :
~ ~ ( ~ ( v1_xboole_0 @ SX0 )
| ~ ( v1_relat_1 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6707]) ).
thf(6892,plain,
! [SV116: $i] :
( ( ! [SY568: $i] :
( ~ ( m1_pboole @ SY568 @ SV116 )
| ! [SY569: $i] :
( ~ ( m1_pboole @ SY569 @ SV116 )
| ~ ( ~ ( ~ ( m2_pboole @ SY569 @ SV116 @ SY568 )
| ! [SY570: $i] :
( ~ ( r2_hidden @ SY570 @ SV116 )
| ( m1_subset_1 @ ( k1_funct_1 @ SY569 @ SY570 ) @ ( k1_funct_1 @ SY568 @ SY570 ) ) ) )
| ~ ( ~ ! [SY571: $i] :
( ~ ( r2_hidden @ SY571 @ SV116 )
| ( m1_subset_1 @ ( k1_funct_1 @ SY569 @ SY571 ) @ ( k1_funct_1 @ SY568 @ SY571 ) ) )
| ( m2_pboole @ SY569 @ SV116 @ SY568 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6708]) ).
thf(6893,plain,
! [SV117: $i] :
( ( ! [SY572: $i] :
( ~ ( m1_pboole @ SY572 @ SV117 )
| ! [SY573: $i] :
( ~ ( m1_pboole @ SY573 @ SV117 )
| ! [SY574: $i] :
( ~ ( m1_pboole @ SY574 @ SV117 )
| ~ ~ ( ~ ( r2_pboole @ SV117 @ SY572 @ SY573 )
| ~ ( r2_pboole @ SV117 @ SY573 @ SY574 ) )
| ( r2_pboole @ SV117 @ SY572 @ SY574 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6709]) ).
thf(6894,plain,
! [SV118: $i] :
( ( ~ ( v1_xboole_0 @ SV118 )
| ( v1_finset_1 @ SV118 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6710]) ).
thf(6895,plain,
! [SV119: $i] :
( ( ! [SY575: $i] :
~ ( ~ ( ~ ( r1_tarski @ SV119 @ SY575 )
| ! [SY576: $i] :
( ~ ( r2_hidden @ SY576 @ SV119 )
| ( r2_hidden @ SY576 @ SY575 ) ) )
| ~ ( ~ ! [SY577: $i] :
( ~ ( r2_hidden @ SY577 @ SV119 )
| ( r2_hidden @ SY577 @ SY575 ) )
| ( r1_tarski @ SV119 @ SY575 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6711]) ).
thf(6896,plain,
! [SV120: $i] :
( ( ~ ~ ( v1_xboole_0 @ SV120 )
| ! [SY578: $i] :
( ~ ( m1_pboole @ SY578 @ SV120 )
| ! [SY579: $i] :
( ~ ( m1_pboole @ SY579 @ SV120 )
| ( ( k1_funct_4 @ SY578 @ SY579 )
= SY579 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6712]) ).
thf(6897,plain,
! [SV121: $i] :
( ( ~ ( ~ ( ~ ( r2_wellord2 @ SV121 @ k1_xboole_0 )
| ( SV121 = k1_xboole_0 ) )
| ~ ( ( SV121 != k1_xboole_0 )
| ( r2_wellord2 @ SV121 @ k1_xboole_0 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6713]) ).
thf(6898,plain,
! [SV122: $i] :
( ( ~ ~ ( v1_xboole_0 @ SV122 )
| ! [SY580: $i] :
( ~ ( m1_pboole @ SY580 @ SV122 )
| ! [SY581: $i] :
( ~ ( m1_subset_1 @ SY581 @ ( k2_relat_1 @ SY580 ) )
| ~ ! [SY582: $i] :
~ ~ ( ~ ( r2_hidden @ SY582 @ SV122 )
| ( SY581
!= ( k1_funct_1 @ SY580 @ SY582 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6714]) ).
thf(6899,plain,
! [SV123: $i] :
( ( ! [SY583: $i,SY584: $i] :
~ ~ ( ~ ~ ( ~ ( r2_hidden @ SV123 @ SY583 )
| ~ ( r2_hidden @ SY583 @ SY584 ) )
| ~ ( r2_hidden @ SY584 @ SV123 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6715]) ).
thf(6900,plain,
! [SV124: $i] :
( ( ! [SY585: $i] :
( ~ ( m1_subset_1 @ SY585 @ ( k1_zfmisc_1 @ SV124 ) )
| ~ ! [SY586: $i] :
( ~ ( m1_subset_1 @ SY586 @ SV124 )
| ( r2_hidden @ SY586 @ SY585 ) )
| ( SV124 = SY585 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6716]) ).
thf(6901,plain,
! [SV125: $i] :
( ( ! [SY587: $i,SY588: $i] :
( ~ ~ ( ~ ( m1_pboole @ SY587 @ SV125 )
| ~ ( m1_pboole @ SY588 @ SV125 ) )
| ( r7_pboole @ SV125 @ SY587 @ SY587 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6717]) ).
thf(6902,plain,
! [SV126: $i] :
( ( ~ ( v1_xboole_0 @ SV126 )
| ( SV126 = k1_xboole_0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6718]) ).
thf(6903,plain,
! [SV127: $i] :
( ( ! [SY589: $i] :
( ~ ~ ( v1_xboole_0 @ SY589 )
| ~ ( v1_xboole_0 @ ( k1_funct_2 @ SV127 @ SY589 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6719]) ).
thf(6904,plain,
( ( ! [SX0: $i] :
~ ~ ( ~ ~ ( v1_xboole_0 @ SX0 )
| ~ ( v1_fraenkel @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6720]) ).
thf(6905,plain,
! [SV128: $i] :
( ( ! [SY590: $i] :
~ ~ ( ~ ( r2_hidden @ SV128 @ SY590 )
| ~ ( r1_tarski @ SY590 @ SV128 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6721]) ).
thf(6906,plain,
! [SV129: $i] :
( ( ! [SY591: $i] :
( ~ ( m1_subset_1 @ SY591 @ ( k1_zfmisc_1 @ SV129 ) )
| ! [SY592: $i] :
( ~ ( m1_subset_1 @ SY592 @ ( k1_zfmisc_1 @ SV129 ) )
| ~ ! [SY593: $i] :
( ~ ( m1_subset_1 @ SY593 @ SV129 )
| ~ ( ~ ( ~ ( r2_hidden @ SY593 @ SY591 )
| ( r2_hidden @ SY593 @ SY592 ) )
| ~ ( ~ ( r2_hidden @ SY593 @ SY592 )
| ( r2_hidden @ SY593 @ SY591 ) ) ) )
| ( SY591 = SY592 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6722]) ).
thf(6907,plain,
( ( ! [SX0: $i] :
~ ( v1_xboole_0 @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6723]) ).
thf(6908,plain,
! [SV130: $i] :
( ( ~ ~ ( v1_realset1 @ SV130 )
| ~ ( v1_xboole_0 @ SV130 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6724]) ).
thf(6909,plain,
! [SV131: $i] :
( ( ! [SY594: $i] :
( ~ ( r2_hidden @ SY594 @ SV131 )
| ( ( k1_funct_1 @ ( k6_relat_1 @ SV131 ) @ SY594 )
= SY594 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6725]) ).
thf(6910,plain,
! [SV132: $i] :
( ( ! [SY595: $i] :
( ~ ( m1_pboole @ SY595 @ SV132 )
| ~ ! [SY596: $i] :
~ ( m2_pboole @ SY596 @ SV132 @ SY595 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6726]) ).
thf(6911,plain,
! [SV133: $i] :
( ( ! [SY597: $i] :
~ ~ ( ~ ~ ( ~ ( ( SV133
!= ( k1_tarski @ SY597 ) ) )
| ~ ( ( SV133 != k1_xboole_0 ) ) )
| ~ ! [SY598: $i] :
~ ~ ( ~ ( r2_hidden @ SY598 @ SV133 )
| ~ ( ( SY598 != SY597 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6727]) ).
thf(6912,plain,
! [SV134: $i] :
( ( ! [SY599: $i,SY600: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV134 )
| ~ ~ ( v1_xboole_0 @ SY599 ) )
| ~ ~ ( v1_xboole_0 @ SY600 ) )
| ~ ( v1_xboole_0 @ ( k3_zfmisc_1 @ SV134 @ SY599 @ SY600 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6728]) ).
thf(6913,plain,
! [SV135: $i] :
( ( ! [SY601: $i] :
( ~ ! [SY602: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY602 @ SV135 )
| ( r2_hidden @ SY602 @ SY601 ) )
| ~ ( ~ ( r2_hidden @ SY602 @ SY601 )
| ( r2_hidden @ SY602 @ SV135 ) ) )
| ( SV135 = SY601 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6729]) ).
thf(6914,plain,
! [SV136: $i] :
( ( ! [SY603: $i] :
( ~ ( m1_subset_1 @ SY603 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV136 ) ) )
| ! [SY604: $i] :
( ~ ( m1_subset_1 @ SY604 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV136 ) ) )
| ~ ! [SY605: $i] :
( ~ ( m1_subset_1 @ SY605 @ ( k1_zfmisc_1 @ SV136 ) )
| ~ ( ~ ( ~ ( r2_hidden @ SY605 @ SY603 )
| ( r2_hidden @ SY605 @ SY604 ) )
| ~ ( ~ ( r2_hidden @ SY605 @ SY604 )
| ( r2_hidden @ SY605 @ SY603 ) ) ) )
| ( SY603 = SY604 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6730]) ).
thf(6915,plain,
! [SV137: $i] :
( ( ! [SY606: $i,SY607: $i] :
( ~ ~ ( ~ ( m1_pboole @ SY606 @ SV137 )
| ~ ( m1_pboole @ SY607 @ SV137 ) )
| ( r6_pboole @ SV137 @ SY606 @ SY606 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6731]) ).
thf(6916,plain,
! [SV138: $i] :
( ( ! [SY608: $i] :
( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV138 )
| ~ ~ ( v1_xboole_0 @ SY608 ) )
| ~ ( r2_subset_1 @ SV138 @ SY608 )
| ( r2_subset_1 @ SY608 @ SV138 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6732]) ).
thf(6917,plain,
( ( ! [SX0: $i] :
~ ~ ( ~ ~ ( v1_xboole_0 @ SX0 )
| ~ ( v1_realset1 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6733]) ).
thf(6918,plain,
! [SV139: $i] :
( ( ! [SY609: $i] :
( ~ ( m1_pboole @ SY609 @ SV139 )
| ~ ( ~ ( ~ ( v2_relat_1 @ SY609 )
| ! [SY610: $i] :
~ ~ ( ~ ( r2_hidden @ SY610 @ SV139 )
| ~ ( v1_xboole_0 @ ( k1_funct_1 @ SY609 @ SY610 ) ) ) )
| ~ ( ~ ! [SY611: $i] :
~ ~ ( ~ ( r2_hidden @ SY611 @ SV139 )
| ~ ( v1_xboole_0 @ ( k1_funct_1 @ SY609 @ SY611 ) ) )
| ( v2_relat_1 @ SY609 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6734]) ).
thf(6919,plain,
! [SV140: $i] :
( ( ! [SY612: $i,SY613: $i] :
~ ( ~ ( ( SY613
!= ( k2_tarski @ SV140 @ SY612 ) )
| ! [SY614: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY614 @ SY613 )
| ( SY614 = SV140 )
| ( SY614 = SY612 ) )
| ~ ( ~ ( ( SY614 = SV140 )
| ( SY614 = SY612 ) )
| ( r2_hidden @ SY614 @ SY613 ) ) ) )
| ~ ( ~ ! [SY615: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY615 @ SY613 )
| ( SY615 = SV140 )
| ( SY615 = SY612 ) )
| ~ ( ~ ( ( SY615 = SV140 )
| ( SY615 = SY612 ) )
| ( r2_hidden @ SY615 @ SY613 ) ) )
| ( SY613
= ( k2_tarski @ SV140 @ SY612 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6735]) ).
thf(6920,plain,
! [SV141: $i] :
( ( ! [SY616: $i,SY617: $i] :
~ ( ~ ( ~ ( r2_hidden @ SV141 @ ( k5_xboole_0 @ SY616 @ SY617 ) )
| ~ ~ ( ~ ( ~ ( r2_hidden @ SV141 @ SY616 )
| ( r2_hidden @ SV141 @ SY617 ) )
| ~ ( ~ ( r2_hidden @ SV141 @ SY617 )
| ( r2_hidden @ SV141 @ SY616 ) ) ) )
| ~ ( ~ ~ ~ ( ~ ( ~ ( r2_hidden @ SV141 @ SY616 )
| ( r2_hidden @ SV141 @ SY617 ) )
| ~ ( ~ ( r2_hidden @ SV141 @ SY617 )
| ( r2_hidden @ SV141 @ SY616 ) ) )
| ( r2_hidden @ SV141 @ ( k5_xboole_0 @ SY616 @ SY617 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6736]) ).
thf(6921,plain,
! [SV142: $i] :
( ( ! [SY618: $i] :
( ~ ( r2_hidden @ SV142 @ SY618 )
| ~ ( r2_hidden @ SY618 @ SV142 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6737]) ).
thf(6922,plain,
! [SV143: $i] :
( ( ! [SY619: $i,SY620: $i] :
( ~ ~ ( ~ ( m1_pboole @ SY619 @ SV143 )
| ~ ( m1_pboole @ SY620 @ SV143 ) )
| ( m1_pboole @ ( k5_pboole @ SV143 @ SY619 @ SY620 ) @ SV143 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6738]) ).
thf(6923,plain,
! [SV144: $i] :
( ( ! [SY621: $i] :
( ~ ( m1_pboole @ SY621 @ SV144 )
| ! [SY622: $i] :
( ~ ( m1_pboole @ SY622 @ SV144 )
| ! [SY623: $i] :
( ~ ( m1_pboole @ SY623 @ SV144 )
| ~ ~ ( ~ ( r7_pboole @ SV144 @ SY621 @ SY622 )
| ~ ( r7_pboole @ SV144 @ SY622 @ SY623 ) )
| ( r7_pboole @ SV144 @ SY621 @ SY623 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6739]) ).
thf(6924,plain,
! [SV145: $i] :
( ( ! [SY624: $i,SY625: $i] :
( ~ ~ ( ~ ( m1_pboole @ SY624 @ SV145 )
| ~ ( m1_pboole @ SY625 @ SV145 ) )
| ~ ( ~ ( ~ ( r6_pboole @ SV145 @ SY624 @ SY625 )
| ( SY624 = SY625 ) )
| ~ ( ( SY624 != SY625 )
| ( r6_pboole @ SV145 @ SY624 @ SY625 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6740]) ).
thf(6925,plain,
! [SV146: $i] :
( ( ~ ~ ( v2_setfam_1 @ SV146 )
| ~ ! [SY626: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY626 @ SV146 )
| ~ ~ ( v1_xboole_0 @ SY626 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6741]) ).
thf(6926,plain,
! [SV147: $i] :
( ( ! [SY627: $i] :
( ~ ( r2_hidden @ SV147 @ SY627 )
| ( m1_subset_1 @ SV147 @ SY627 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6742]) ).
thf(6927,plain,
! [SV148: $i] :
( ( ! [SY628: $i] :
~ ( ~ ( ~ ( ( SV148 != k1_xboole_0 ) )
| ~ ( ~ ( ( SY628
!= ( k1_setfam_1 @ SV148 ) )
| ! [SY629: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY629 @ SY628 )
| ! [SY630: $i] :
( ~ ( r2_hidden @ SY630 @ SV148 )
| ( r2_hidden @ SY629 @ SY630 ) ) )
| ~ ( ~ ! [SY631: $i] :
( ~ ( r2_hidden @ SY631 @ SV148 )
| ( r2_hidden @ SY629 @ SY631 ) )
| ( r2_hidden @ SY629 @ SY628 ) ) ) )
| ~ ( ~ ! [SY632: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY632 @ SY628 )
| ! [SY633: $i] :
( ~ ( r2_hidden @ SY633 @ SV148 )
| ( r2_hidden @ SY632 @ SY633 ) ) )
| ~ ( ~ ! [SY634: $i] :
( ~ ( r2_hidden @ SY634 @ SV148 )
| ( r2_hidden @ SY632 @ SY634 ) )
| ( r2_hidden @ SY632 @ SY628 ) ) )
| ( SY628
= ( k1_setfam_1 @ SV148 ) ) ) ) )
| ~ ( ( SV148 != k1_xboole_0 )
| ~ ( ~ ( ( SY628
!= ( k1_setfam_1 @ SV148 ) )
| ( SY628 = k1_xboole_0 ) )
| ~ ( ( SY628 != k1_xboole_0 )
| ( SY628
= ( k1_setfam_1 @ SV148 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6743]) ).
thf(6928,plain,
! [SV149: $i] :
( ( ! [SY635: $i] :
~ ( ~ ( ( SY635
!= ( k1_tarski @ SV149 ) )
| ! [SY636: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY636 @ SY635 )
| ( SY636 = SV149 ) )
| ~ ( ( SY636 != SV149 )
| ( r2_hidden @ SY636 @ SY635 ) ) ) )
| ~ ( ~ ! [SY637: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY637 @ SY635 )
| ( SY637 = SV149 ) )
| ~ ( ( SY637 != SV149 )
| ( r2_hidden @ SY637 @ SY635 ) ) )
| ( SY635
= ( k1_tarski @ SV149 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6744]) ).
thf(6929,plain,
! [SV150: $i] :
( ( ! [SY638: $i] :
~ ( ~ ~ ~ ( ~ ~ ( r1_xboole_0 @ SV150 @ SY638 )
| ~ ! [SY639: $i] :
~ ~ ( ~ ( r2_hidden @ SY639 @ SV150 )
| ~ ( r2_hidden @ SY639 @ SY638 ) ) )
| ~ ~ ~ ( ~ ~ ! [SY640: $i] :
~ ~ ( ~ ( r2_hidden @ SY640 @ SV150 )
| ~ ( r2_hidden @ SY640 @ SY638 ) )
| ~ ( r1_xboole_0 @ SV150 @ SY638 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6745]) ).
thf(6930,plain,
! [SV151: $i] :
( ( ! [SY641: $i] :
~ ( ~ ( ( SY641
!= ( k3_tarski @ SV151 ) )
| ! [SY642: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY642 @ SY641 )
| ~ ! [SY643: $i] :
~ ~ ( ~ ( r2_hidden @ SY642 @ SY643 )
| ~ ( r2_hidden @ SY643 @ SV151 ) ) )
| ~ ( ~ ~ ! [SY644: $i] :
~ ~ ( ~ ( r2_hidden @ SY642 @ SY644 )
| ~ ( r2_hidden @ SY644 @ SV151 ) )
| ( r2_hidden @ SY642 @ SY641 ) ) ) )
| ~ ( ~ ! [SY645: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY645 @ SY641 )
| ~ ! [SY646: $i] :
~ ~ ( ~ ( r2_hidden @ SY645 @ SY646 )
| ~ ( r2_hidden @ SY646 @ SV151 ) ) )
| ~ ( ~ ~ ! [SY647: $i] :
~ ~ ( ~ ( r2_hidden @ SY645 @ SY647 )
| ~ ( r2_hidden @ SY647 @ SV151 ) )
| ( r2_hidden @ SY645 @ SY641 ) ) )
| ( SY641
= ( k3_tarski @ SV151 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6746]) ).
thf(6931,plain,
! [SV152: $i] :
( ( ! [SY648: $i] :
( ~ ~ ( v1_xboole_0 @ SV152 )
| ~ ( v1_xboole_0 @ ( k2_xboole_0 @ SY648 @ SV152 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6747]) ).
thf(6932,plain,
! [SV153: $i] :
( ( ! [SY649: $i,SY650: $i] :
( ~ ~ ( ~ ( m1_pboole @ SY649 @ SV153 )
| ~ ( m1_pboole @ SY650 @ SV153 ) )
| ( ( k2_pboole @ SV153 @ SY649 @ SY649 )
= SY649 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6748]) ).
thf(6933,plain,
! [SV154: $i] :
( ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV154 )
| ~ ( v1_setfam_1 @ SV154 ) )
| ! [SY651: $i] :
( ~ ( m1_subset_1 @ SY651 @ SV154 )
| ~ ( v1_xboole_0 @ SY651 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6749]) ).
thf(6934,plain,
! [SV155: $i] :
( ( ~ ( v1_xboole_0 @ SV155 )
| ( v1_fraenkel @ SV155 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6750]) ).
thf(6935,plain,
! [SV156: $i] :
( ( ~ ! [SY652: $i] :
( ~ ( v3_ordinal1 @ SY652 )
| ( r2_hidden @ SY652 @ SV156 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6751]) ).
thf(6936,plain,
! [SV157: $i] :
( ( ~ ( ( SV157 != k1_xboole_0 ) )
| ( r2_xboole_0 @ k1_xboole_0 @ SV157 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6752]) ).
thf(6937,plain,
! [SV158: $i] :
( ( ~ ( ~ ( ~ ( v2_setfam_1 @ SV158 )
| ! [SY653: $i] :
( ~ ~ ( v1_xboole_0 @ SY653 )
| ~ ( r2_hidden @ SY653 @ SV158 ) ) )
| ~ ( ~ ! [SY654: $i] :
( ~ ~ ( v1_xboole_0 @ SY654 )
| ~ ( r2_hidden @ SY654 @ SV158 ) )
| ( v2_setfam_1 @ SV158 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6753]) ).
thf(6938,plain,
! [SV159: $i] :
( ( ! [SY655: $i] :
~ ( ~ ( ( ( k2_zfmisc_1 @ SV159 @ SY655 )
!= k1_xboole_0 )
| ( SV159 = k1_xboole_0 )
| ( SY655 = k1_xboole_0 ) )
| ~ ( ~ ( ( SV159 = k1_xboole_0 )
| ( SY655 = k1_xboole_0 ) )
| ( ( k2_zfmisc_1 @ SV159 @ SY655 )
= k1_xboole_0 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6754]) ).
thf(6939,plain,
! [SV160: $i] :
( ( ~ ( ~ ( ~ ( v1_setfam_1 @ SV160 )
| ~ ( r2_hidden @ k1_xboole_0 @ SV160 ) )
| ~ ( ~ ~ ( r2_hidden @ k1_xboole_0 @ SV160 )
| ( v1_setfam_1 @ SV160 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6755]) ).
thf(6940,plain,
! [SV161: $i] :
( ( ! [SY656: $i,SY657: $i] :
( ~ ~ ( ~ ( m1_pboole @ SY656 @ SV161 )
| ~ ( m1_pboole @ SY657 @ SV161 ) )
| ~ ! [SY658: $i] :
~ ( m3_pboole @ SY658 @ SV161 @ SY656 @ SY657 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6756]) ).
thf(6941,plain,
! [SV162: $i] :
( ( ! [SY659: $i,SY660: $i] :
( ~ ( m2_relset_1 @ SY660 @ SY659 @ SV162 )
| ~ ( m2_relset_1 @ SY660 @ SY659 @ k1_xboole_0 )
| ( SY660 = k1_xboole_0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6757]) ).
thf(6942,plain,
! [SV163: $i] :
( ( ! [SY661: $i,SY662: $i] :
( ~ ! [SY663: $i] :
~ ( ~ ( ~ ~ ( r2_hidden @ SY663 @ SV163 )
| ~ ( ~ ( ~ ( r2_hidden @ SY663 @ SY661 )
| ( r2_hidden @ SY663 @ SY662 ) )
| ~ ( ~ ( r2_hidden @ SY663 @ SY662 )
| ( r2_hidden @ SY663 @ SY661 ) ) ) )
| ~ ( ~ ~ ( ~ ( ~ ( r2_hidden @ SY663 @ SY661 )
| ( r2_hidden @ SY663 @ SY662 ) )
| ~ ( ~ ( r2_hidden @ SY663 @ SY662 )
| ( r2_hidden @ SY663 @ SY661 ) ) )
| ~ ( r2_hidden @ SY663 @ SV163 ) ) )
| ( SV163
= ( k5_xboole_0 @ SY661 @ SY662 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6758]) ).
thf(6943,plain,
! [SV164: $i] :
( ( ~ ~ $true
| ! [SY664: $i] :
( ~ ( m1_subset_1 @ SY664 @ SV164 )
| ( SY664
= ( k8_subset_1 @ SV164 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6759]) ).
thf(6944,plain,
! [SV165: $i] :
( ( ! [SY665: $i,SY666: $i] :
( ~ ~ ( ~ ( m1_pboole @ SY665 @ SV165 )
| ~ ( m1_pboole @ SY666 @ SV165 ) )
| ~ ( r6_pboole @ SV165 @ SY665 @ SY666 )
| ( r6_pboole @ SV165 @ SY666 @ SY665 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6760]) ).
thf(6945,plain,
! [SV166: $i] :
( ( ! [SY667: $i,SY668: $i,SY669: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV166 )
| ~ ~ ( v1_xboole_0 @ SY667 ) )
| ~ ~ ( v1_xboole_0 @ SY668 ) )
| ~ ~ ( v1_xboole_0 @ SY669 ) )
| ~ ( v1_xboole_0 @ ( k4_zfmisc_1 @ SV166 @ SY667 @ SY668 @ SY669 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6761]) ).
thf(6946,plain,
! [SV167: $i] :
( ( ! [SY670: $i,SY671: $i] :
( ~ ( m2_relset_1 @ SY671 @ SV167 @ SY670 )
| ~ ( m2_relset_1 @ SY671 @ k1_xboole_0 @ SY670 )
| ( SY671 = k1_xboole_0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6762]) ).
thf(6947,plain,
( ( ! [SX0: $i] :
( ~ ( m1_pboole @ SX0 @ sK1_A )
| ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ sK1_A )
| ~ ~ ( r2_hidden @ SX1 @ ( k1_closure3 @ sK1_A @ SX0 ) )
| ( ( k1_funct_1 @ SX0 @ SX1 )
= k1_xboole_0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6763]) ).
thf(6948,plain,
! [SV168: $i] :
( ( ! [SY672: $i] :
( ~ ( m1_pboole @ SY672 @ SV168 )
| ~ ( ~ ( ~ ( v3_relat_1 @ SY672 )
| ! [SY673: $i] :
( ~ ( r2_hidden @ SY673 @ SV168 )
| ( v1_xboole_0 @ ( k1_funct_1 @ SY672 @ SY673 ) ) ) )
| ~ ( ~ ! [SY674: $i] :
( ~ ( r2_hidden @ SY674 @ SV168 )
| ( v1_xboole_0 @ ( k1_funct_1 @ SY672 @ SY674 ) ) )
| ( v3_relat_1 @ SY672 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6764]) ).
thf(6949,plain,
! [SV7: $i] :
( ( r2_xboole_0 @ SV7 @ k1_xboole_0 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6771]) ).
thf(6950,plain,
! [SV169: $i,SV10: $i] :
( ( ~ ( v1_xboole_0 @ ( k4_tarski @ SV10 @ SV169 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6774]) ).
thf(6951,plain,
! [SV11: $i] :
( ( v1_xboole_0 @ ( k1_zfmisc_1 @ SV11 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6775]) ).
thf(6952,plain,
! [SV12: $i] :
( ( v1_xboole_0 @ ( k1_tarski @ SV12 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6776]) ).
thf(6953,plain,
! [SV170: $i,SV13: $i] :
( ( ~ ( v1_xboole_0 @ ( k2_tarski @ SV13 @ SV170 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6777]) ).
thf(6954,plain,
! [SV22: $i] :
( ( v1_xboole_0 @ ( k1_ordinal1 @ SV22 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6786]) ).
thf(6955,plain,
! [SV171: $i,SV25: $i] :
( ( m2_relset_1 @ k1_xboole_0 @ SV25 @ SV171 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6789]) ).
thf(6956,plain,
! [SV172: $i,SV26: $i] :
( ( ~ ( v1_xboole_0 @ ( k4_partfun1 @ SV26 @ SV172 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6790]) ).
thf(6957,plain,
! [SV173: $i,SV27: $i] :
( ( ( k3_partfun1 @ k1_xboole_0 @ SV27 @ SV173 )
= k1_xboole_0 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6791]) ).
thf(6958,plain,
! [SV28: $i] :
( ( v1_xboole_0 @ ( k1_funct_2 @ SV28 @ SV28 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6792]) ).
thf(6959,plain,
! [SV29: $i] :
( ( v1_xboole_0 @ ( k13_finseq_1 @ SV29 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6797]) ).
thf(6960,plain,
! [SV34: $i,SV174: $i] :
( ( ( k1_funct_1 @ ( k1_pboole @ SV174 ) @ SV34 )
= k1_xboole_0 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6802]) ).
thf(6961,plain,
! [SV175: $i,SV38: $i] :
( ( m1_pboole @ ( k2_pre_circ @ SV38 @ SV175 ) @ SV38 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6806]) ).
thf(6962,plain,
! [SV39: $i,SV176: $i] :
( ( ~ ( m1_subset_1 @ SV176 @ SV39 )
| ! [SY675: $i,SY676: $i] :
( ( ( g2_struct_0 @ SV39 @ SV176 )
!= ( g2_struct_0 @ SY675 @ SY676 ) )
| ~ ( ( SV39 != SY675 )
| ( SV176 != SY676 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6808]) ).
thf(6963,plain,
! [SV40: $i,SV177: $i] :
( ( ~ ( v3_ordinal1 @ SV177 )
| ~ ( r2_hidden @ SV40 @ SV177 )
| ( v3_ordinal1 @ SV40 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6809]) ).
thf(6964,plain,
! [SV41: $i,SV178: $i] :
( ( ~ ( m1_pboole @ SV178 @ SV41 )
| ! [SY677: $i] :
( ~ ( m4_pboole @ SY677 @ SV41 @ SV178 )
| ( m1_pboole @ SY677 @ SV41 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6810]) ).
thf(6965,plain,
! [SV42: $i,SV179: $i] :
( ( ~ ( m1_pboole @ SV179 @ SV42 )
| ~ ! [SY678: $i] :
~ ( m4_pboole @ SY678 @ SV42 @ SV179 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6811]) ).
thf(6966,plain,
( ( ~ ~ ( ~ ~ ( v1_xboole_0 @ sK2_SX0 )
| ~ ( v1_setfam_1 @ sK2_SX0 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[6812]) ).
thf(6967,plain,
! [SV180: $i,SV43: $i] :
( ( ! [SY679: $i] :
~ ( ~ ( ( SY679
!= ( k3_xboole_0 @ SV43 @ SV180 ) )
| ! [SY680: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY680 @ SY679 )
| ~ ( ~ ( r2_hidden @ SY680 @ SV43 )
| ~ ( r2_hidden @ SY680 @ SV180 ) ) )
| ~ ( ~ ~ ( ~ ( r2_hidden @ SY680 @ SV43 )
| ~ ( r2_hidden @ SY680 @ SV180 ) )
| ( r2_hidden @ SY680 @ SY679 ) ) ) )
| ~ ( ~ ! [SY681: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY681 @ SY679 )
| ~ ( ~ ( r2_hidden @ SY681 @ SV43 )
| ~ ( r2_hidden @ SY681 @ SV180 ) ) )
| ~ ( ~ ~ ( ~ ( r2_hidden @ SY681 @ SV43 )
| ~ ( r2_hidden @ SY681 @ SV180 ) )
| ( r2_hidden @ SY681 @ SY679 ) ) )
| ( SY679
= ( k3_xboole_0 @ SV43 @ SV180 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6813]) ).
thf(6968,plain,
! [SV44: $i,SV181: $i] :
( ( ! [SY682: $i] :
( ~ ~ ( ~ ( m1_pboole @ SV181 @ SV44 )
| ~ ( m1_pboole @ SY682 @ SV44 ) )
| ( m1_pboole @ ( k11_pboole @ SV44 @ SV181 @ SY682 ) @ SV44 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6814]) ).
thf(6969,plain,
! [SV45: $i] :
( ( ( ~ ( m1_pboole @ SV45 @ k1_xboole_0 ) )
= $true )
| ( ( SV45 = k1_xboole_0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6815]) ).
thf(6970,plain,
! [SV46: $i] :
( ( ! [SY438: $i] :
~ ( m1_subset_1 @ SY438 @ SV46 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6816]) ).
thf(6971,plain,
! [SV182: $i,SV47: $i] :
( ( ( ( k2_xboole_0 @ SV47 @ SV182 )
!= k1_xboole_0 )
| ( SV47 = k1_xboole_0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6817]) ).
thf(6972,plain,
! [SV48: $i,SV183: $i] :
( ( ! [SY683: $i] :
( ~ ~ ( ~ ( m1_pboole @ SV183 @ SV48 )
| ~ ( m1_pboole @ SY683 @ SV48 ) )
| ( ( k2_pboole @ SV48 @ SV183 @ SY683 )
= ( k2_pboole @ SV48 @ SY683 @ SV183 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6818]) ).
thf(6973,plain,
! [SV49: $i] :
( ( ~ ( ~ ( v2_ordinal1 @ SV49 )
| ! [SY442: $i,SY443: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ SY442 @ SV49 )
| ~ ( r2_hidden @ SY443 @ SV49 ) )
| ~ ~ ( r2_hidden @ SY442 @ SY443 ) )
| ~ ( ( SY442 != SY443 ) ) )
| ~ ~ ( r2_hidden @ SY443 @ SY442 ) ) )
| ~ ( ~ ! [SY444: $i,SY445: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ SY444 @ SV49 )
| ~ ( r2_hidden @ SY445 @ SV49 ) )
| ~ ~ ( r2_hidden @ SY444 @ SY445 ) )
| ~ ( ( SY444 != SY445 ) ) )
| ~ ~ ( r2_hidden @ SY445 @ SY444 ) )
| ( v2_ordinal1 @ SV49 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6819]) ).
thf(6974,plain,
! [SV184: $i,SV50: $i] :
( ( ! [SY684: $i,SY685: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ SV50 @ SV184 )
| ~ ( r2_hidden @ SV184 @ SY684 ) )
| ~ ( r2_hidden @ SY684 @ SY685 ) )
| ~ ( r2_hidden @ SY685 @ SV50 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6820]) ).
thf(6975,plain,
! [SV51: $i] :
( ( ( ~ ( r2_hidden @ k1_xboole_0 @ SV51 ) )
= $true )
| ( ( ( k1_setfam_1 @ SV51 )
= k1_xboole_0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6821]) ).
thf(6976,plain,
! [SV52: $i,SV185: $i] :
( ( ! [SY686: $i] :
( ~ ~ ( ~ ( m1_pboole @ SV185 @ SV52 )
| ~ ( m1_pboole @ SY686 @ SV52 ) )
| ! [SY687: $i] :
( ~ ( m3_pboole @ SY687 @ SV52 @ SV185 @ SY686 )
| ( m1_pboole @ SY687 @ SV52 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6822]) ).
thf(6977,plain,
! [SV53: $i] :
( ( ( ~ ( ( SV53 != k1_xboole_0 ) ) )
= $true )
| ( ( ( k1_funct_2 @ SV53 @ k1_xboole_0 )
= k1_xboole_0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6823]) ).
thf(6978,plain,
! [SV54: $i,SV186: $i] :
( ( ~ ( m1_subset_1 @ SV186 @ SV54 )
| ~ ! [SY688: $i] :
~ ( m3_realset1 @ SY688 @ SV54 @ SV186 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6824]) ).
thf(6979,plain,
! [SV55: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ SV55 ) )
= $true )
| ( ( ~ ! [SY454: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY454 @ ( k1_zfmisc_1 @ SV55 ) )
| ~ ~ ( v1_xboole_0 @ SY454 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6825]) ).
thf(6980,plain,
! [SV56: $i] :
( ( ( ~ ( r1_setfam_1 @ SV56 @ k1_xboole_0 ) )
= $true )
| ( ( SV56 = k1_xboole_0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6826]) ).
thf(6981,plain,
! [SV187: $i,SV57: $i] :
( ( ~ ~ ( ~ ! [SY456: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY456 @ SV57 )
| ( p1_s3_xboole_0 @ SY456 ) )
| ~ ( ~ ( p1_s3_xboole_0 @ SY456 )
| ( r2_hidden @ SY456 @ SV57 ) ) )
| ~ ! [SY690: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY690 @ SV187 )
| ( p1_s3_xboole_0 @ SY690 ) )
| ~ ( ~ ( p1_s3_xboole_0 @ SY690 )
| ( r2_hidden @ SY690 @ SV187 ) ) ) )
| ( SV57 = SV187 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6827]) ).
thf(6982,plain,
! [SV188: $i,SV58: $i] :
( ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV58 )
| ~ ~ ( v1_xboole_0 @ SV188 ) )
| ~ ( r2_subset_1 @ SV58 @ SV58 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6828]) ).
thf(6983,plain,
! [SV59: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ SV59 ) )
= $true )
| ( ( ! [SY459: $i] :
( ~ ( m1_pboole @ SY459 @ SV59 )
| ! [SY460: $i] :
~ ( ~ ( ( SY460
!= ( k1_closure3 @ SV59 @ SY459 ) )
| ( SY460
= ( a_2_0_closure3 @ SV59 @ SY459 ) ) )
| ~ ( ( SY460
!= ( a_2_0_closure3 @ SV59 @ SY459 ) )
| ( SY460
= ( k1_closure3 @ SV59 @ SY459 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6829]) ).
thf(6984,plain,
! [SV60: $i] :
( ( ~ ~ ~ ( ~ ~ ( r1_xboole_0 @ SV60 @ SV60 )
| ( SV60 != k1_xboole_0 ) )
| ~ ~ ~ ( ~ ( ( SV60 != k1_xboole_0 ) )
| ~ ( r1_xboole_0 @ SV60 @ SV60 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6830]) ).
thf(6985,plain,
! [SV189: $i,SV61: $i] :
( ( ! [SY691: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV61 )
| ~ ( v2_relat_1 @ SV189 ) )
| ~ ( m1_pboole @ SV189 @ SV61 ) )
| ~ ( m1_subset_1 @ SY691 @ SV61 ) )
| ~ ( v1_xboole_0 @ ( k1_funct_1 @ SV189 @ SY691 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6831]) ).
thf(6986,plain,
! [SV62: $i,SV190: $i] :
( ( ! [SY692: $i] :
( ~ ~ ( ~ ( m1_pboole @ SV190 @ SV62 )
| ~ ( m1_pboole @ SY692 @ SV62 ) )
| ( r2_pboole @ SV62 @ SV190 @ SV190 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6832]) ).
thf(6987,plain,
! [SV63: $i,SV191: $i] :
( ( ~ ( m1_pboole @ SV191 @ SV63 )
| ! [SY693: $i] :
( ~ ( r2_hidden @ SY693 @ SV63 )
| ( m1_subset_1 @ ( k1_funct_1 @ SV191 @ SY693 ) @ ( k2_relat_1 @ SV191 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6833]) ).
thf(6988,plain,
! [SV64: $i] :
( ( ( ~ ( v3_ordinal1 @ SV64 ) )
= $true )
| ( ( ! [SY467: $i] :
( ~ ( v3_ordinal1 @ SY467 )
| ~ ~ ( ~ ~ ( ~ ~ ( r2_hidden @ SV64 @ SY467 )
| ~ ( ( SV64 != SY467 ) ) )
| ~ ~ ( r2_hidden @ SY467 @ SV64 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6834]) ).
thf(6989,plain,
! [SV65: $i,SV192: $i] :
( ( ! [SY694: $i] :
( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV192 )
| ~ ( m1_pboole @ SY694 @ SV192 ) )
| ~ ( ~ ( ~ ( r2_hidden @ SV65 @ ( a_2_0_closure3 @ SV192 @ SY694 ) )
| ~ ! [SY695: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY695 @ SV192 )
| ( SV65 != SY695 ) )
| ~ ( ( ( k1_funct_1 @ SY694 @ SY695 )
!= k1_xboole_0 ) ) ) )
| ~ ( ~ ~ ! [SY696: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY696 @ SV192 )
| ( SV65 != SY696 ) )
| ~ ( ( ( k1_funct_1 @ SY694 @ SY696 )
!= k1_xboole_0 ) ) )
| ( r2_hidden @ SV65 @ ( a_2_0_closure3 @ SV192 @ SY694 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6835]) ).
thf(6990,plain,
! [SV193: $i,SV66: $i] :
( ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV66 )
| ~ ~ ( v1_xboole_0 @ SV193 ) )
| ~ ( r1_subset_1 @ SV66 @ SV193 )
| ( r1_subset_1 @ SV193 @ SV66 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6836]) ).
thf(6991,plain,
! [SV67: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ SV67 ) )
= $true )
| ( ( ( k6_relat_1 @ SV67 )
!= k1_xboole_0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6837]) ).
thf(6992,plain,
( ( ~ ~ ( ~ ~ ( v1_xboole_0 @ sK3_SX0 )
| ~ ( v1_relat_1 @ sK3_SX0 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[6838]) ).
thf(6993,plain,
! [SV194: $i,SV68: $i] :
( ( ! [SY697: $i,SY698: $i] :
( ( ( k2_zfmisc_1 @ SV68 @ SV194 )
!= ( k2_zfmisc_1 @ SY697 @ SY698 ) )
| ( SV68 = k1_xboole_0 )
| ( SV194 = k1_xboole_0 )
| ~ ( ( SV68 != SY697 )
| ( SV194 != SY698 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6839]) ).
thf(6994,plain,
! [SV69: $i,SV195: $i] :
( ( ! [SY699: $i] :
( ~ ~ ( ~ ( m1_pboole @ SV195 @ SV69 )
| ~ ( m1_pboole @ SY699 @ SV69 ) )
| ( m1_pboole @ ( k2_pboole @ SV69 @ SV195 @ SY699 ) @ SV69 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6840]) ).
thf(6995,plain,
! [SV70: $i] :
( ( ~ ( ~ ( v1_xboole_0 @ SV70 )
| ( SV70 = k1_xboole_0 ) )
| ~ ( ( SV70 != k1_xboole_0 )
| ( v1_xboole_0 @ SV70 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6841]) ).
thf(6996,plain,
! [SV196: $i,SV71: $i] :
( ( ~ ~ ( v1_xboole_0 @ SV71 )
| ~ ( v1_xboole_0 @ ( k2_xboole_0 @ SV71 @ SV196 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6842]) ).
thf(6997,plain,
! [SV72: $i,SV197: $i] :
( ( ! [SY700: $i] :
( ~ ~ ( ~ ( m1_pboole @ SV197 @ SV72 )
| ~ ( m1_pboole @ SY700 @ SV72 ) )
| ( m1_pboole @ ( k4_pboole @ SV72 @ SV197 @ SY700 ) @ SV72 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6843]) ).
thf(6998,plain,
! [SV198: $i,SV73: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY482: $i] :
~ ~ ( ~ ( r2_hidden @ SY482 @ SV73 )
| ~ ! [SX3: $i,SX4: $i] :
( SY482
!= ( k4_tarski @ SX3 @ SX4 ) ) )
| ~ ! [SY704: $i] :
~ ~ ( ~ ( r2_hidden @ SY704 @ SV198 )
| ~ ! [SX3: $i,SX4: $i] :
( SY704
!= ( k4_tarski @ SX3 @ SX4 ) ) ) )
| ~ ! [SY707: $i,SY708: $i] :
~ ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 ) )
| ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 ) ) ) )
| ( SV73 = SV198 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6844]) ).
thf(6999,plain,
! [SV74: $i,SV199: $i] :
( ( ~ ( m1_pboole @ SV199 @ SV74 )
| ~ ! [SY709: $i] :
( ~ ( r2_hidden @ SY709 @ SV74 )
| ( ( k1_funct_1 @ SV199 @ SY709 )
= k1_xboole_0 ) )
| ( SV199
= ( k1_pboole @ SV74 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6845]) ).
thf(7000,plain,
! [SV75: $i] :
( ( ! [SY492: $i] :
~ ~ ( ~ ( m1_finseq_2 @ SY492 @ SV75 )
| ~ ~ ( v1_xboole_0 @ SY492 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6846]) ).
thf(7001,plain,
! [SV76: $i,SV200: $i] :
( ( ~ ( m1_pboole @ SV200 @ SV76 )
| ! [SY710: $i] :
( ~ ( m1_pboole @ SY710 @ SV76 )
| ~ ( ~ ( ~ ( r1_pboole @ SV76 @ SV200 @ SY710 )
| ! [SY711: $i] :
( ~ ( r2_hidden @ SY711 @ SV76 )
| ( r2_hidden @ ( k1_funct_1 @ SV200 @ SY711 ) @ ( k1_funct_1 @ SY710 @ SY711 ) ) ) )
| ~ ( ~ ! [SY712: $i] :
( ~ ( r2_hidden @ SY712 @ SV76 )
| ( r2_hidden @ ( k1_funct_1 @ SV200 @ SY712 ) @ ( k1_funct_1 @ SY710 @ SY712 ) ) )
| ( r1_pboole @ SV76 @ SV200 @ SY710 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6847]) ).
thf(7002,plain,
! [SV77: $i,SV201: $i] :
( ( ! [SY713: $i] :
( ~ ~ ( ~ ( m1_pboole @ SV201 @ SV77 )
| ~ ( m1_pboole @ SY713 @ SV77 ) )
| ( ( k3_pboole @ SV77 @ SV201 @ SV201 )
= SV201 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6848]) ).
thf(7003,plain,
! [SV78: $i,SV202: $i] :
( ( ! [SY714: $i] :
( ~ ( r2_hidden @ SV202 @ SV78 )
| ( ( k1_funct_1 @ ( k2_funcop_1 @ SV78 @ SY714 ) @ SV202 )
= SY714 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6849]) ).
thf(7004,plain,
! [SV203: $i,SV79: $i] :
( ( ! [SY715: $i] :
~ ~ ( ~ ~ ( ~ ( r2_hidden @ SV79 @ SV203 )
| ~ ( m1_subset_1 @ SV203 @ ( k1_zfmisc_1 @ SY715 ) ) )
| ~ ( v1_xboole_0 @ SY715 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6850]) ).
thf(7005,plain,
( ( ~ ~ ( ~ ~ ( v1_xboole_0 @ sK4_SX0 )
| ~ ( v1_finset_1 @ sK4_SX0 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[6851]) ).
thf(7006,plain,
! [SV204: $i,SV80: $i] :
( ( ! [SY716: $i,SY717: $i,SY718: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ SV80 @ SV204 )
| ~ ( r2_hidden @ SV204 @ SY716 ) )
| ~ ( r2_hidden @ SY716 @ SY717 ) )
| ~ ( r2_hidden @ SY717 @ SY718 ) )
| ~ ( r2_hidden @ SY718 @ SV80 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6852]) ).
thf(7007,plain,
! [SV81: $i,SV205: $i] :
( ( ! [SY719: $i] :
( ~ ~ ( ~ ( m1_pboole @ SV205 @ SV81 )
| ~ ( m1_pboole @ SY719 @ SV81 ) )
| ~ ( r5_pboole @ SV81 @ SV205 @ SY719 )
| ( r5_pboole @ SV81 @ SY719 @ SV205 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6853]) ).
thf(7008,plain,
! [SV206: $i,SV82: $i] :
( ( ! [SY720: $i] :
~ ( ~ ( ( SY720
!= ( k2_xboole_0 @ SV82 @ SV206 ) )
| ! [SY721: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY721 @ SY720 )
| ( r2_hidden @ SY721 @ SV82 )
| ( r2_hidden @ SY721 @ SV206 ) )
| ~ ( ~ ( ( r2_hidden @ SY721 @ SV82 )
| ( r2_hidden @ SY721 @ SV206 ) )
| ( r2_hidden @ SY721 @ SY720 ) ) ) )
| ~ ( ~ ! [SY722: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY722 @ SY720 )
| ( r2_hidden @ SY722 @ SV82 )
| ( r2_hidden @ SY722 @ SV206 ) )
| ~ ( ~ ( ( r2_hidden @ SY722 @ SV82 )
| ( r2_hidden @ SY722 @ SV206 ) )
| ( r2_hidden @ SY722 @ SY720 ) ) )
| ( SY720
= ( k2_xboole_0 @ SV82 @ SV206 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6854]) ).
thf(7009,plain,
! [SV83: $i] :
( ( ( ~ ( r1_tarski @ SV83 @ k1_xboole_0 ) )
= $true )
| ( ( SV83 = k1_xboole_0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6855]) ).
thf(7010,plain,
! [SV207: $i,SV84: $i] :
( ( ! [SY723: $i,SY724: $i,SY725: $i,SY726: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ SV84 @ SV207 )
| ~ ( r2_hidden @ SV207 @ SY723 ) )
| ~ ( r2_hidden @ SY723 @ SY724 ) )
| ~ ( r2_hidden @ SY724 @ SY725 ) )
| ~ ( r2_hidden @ SY725 @ SY726 ) )
| ~ ( r2_hidden @ SY726 @ SV84 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6856]) ).
thf(7011,plain,
! [SV208: $i,SV85: $i] :
( ( ~ ( ~ ( ~ ~ ( v1_xboole_0 @ SV85 )
| ~ ( ~ ( ~ ( m1_subset_1 @ SV208 @ SV85 )
| ( r2_hidden @ SV208 @ SV85 ) )
| ~ ( ~ ( r2_hidden @ SV208 @ SV85 )
| ( m1_subset_1 @ SV208 @ SV85 ) ) ) )
| ~ ( ~ ( v1_xboole_0 @ SV85 )
| ~ ( ~ ( ~ ( m1_subset_1 @ SV208 @ SV85 )
| ( v1_xboole_0 @ SV208 ) )
| ~ ( ~ ( v1_xboole_0 @ SV208 )
| ( m1_subset_1 @ SV208 @ SV85 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6857]) ).
thf(7012,plain,
! [SV86: $i,SV209: $i] :
( ( ! [SY727: $i] :
( ~ ~ ( ~ ( m1_pboole @ SV209 @ SV86 )
| ~ ( m1_pboole @ SY727 @ SV86 ) )
| ( ( k3_pboole @ SV86 @ SV209 @ SY727 )
= ( k3_pboole @ SV86 @ SY727 @ SV209 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6858]) ).
thf(7013,plain,
! [SV87: $i] :
( ( ( ~ ( v1_xboole_0 @ SV87 ) )
= $true )
| ( ( v1_relat_1 @ SV87 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6859]) ).
thf(7014,plain,
! [SV88: $i] :
( ( ! [SY521: $i] :
~ ( m1_pboole @ SY521 @ SV88 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6860]) ).
thf(7015,plain,
! [SV210: $i,SV89: $i] :
( ( ~ ~ ( ~ ( r2_hidden @ SV89 @ SV210 )
| ~ ( v1_xboole_0 @ SV210 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6861]) ).
thf(7016,plain,
! [SV90: $i,SV211: $i] :
( ( ~ ( m1_pboole @ SV211 @ SV90 )
| ! [SY728: $i] :
( ~ ( m1_pboole @ SY728 @ SV90 )
| ~ ! [SY729: $i] :
( ~ ( r2_hidden @ SY729 @ SV90 )
| ( ( k1_funct_1 @ SV211 @ SY729 )
= ( k1_funct_1 @ SY728 @ SY729 ) ) )
| ( SV211 = SY728 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6862]) ).
thf(7017,plain,
! [SV212: $i,SV91: $i] :
( ( ! [SY730: $i] :
( ~ ~ ( ~ ( r2_hidden @ SV91 @ SV212 )
| ~ ( m1_subset_1 @ SV212 @ ( k1_zfmisc_1 @ SY730 ) ) )
| ( m1_subset_1 @ SV91 @ SY730 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6863]) ).
thf(7018,plain,
! [SV92: $i,SV213: $i] :
( ( ! [SY731: $i] :
( ~ ~ ( ~ ( m1_pboole @ SV213 @ SV92 )
| ~ ( m1_pboole @ SY731 @ SV92 ) )
| ( m1_pboole @ ( k12_pboole @ SV92 @ SV213 @ SY731 ) @ SV92 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6864]) ).
thf(7019,plain,
! [SV93: $i] :
( ( ~ ~ ~ ( ~ ~ ( v1_realset1 @ SV93 )
| ~ ! [SY530: $i,SY531: $i] :
~ ~ ( ~ ~ ( ~ ( r2_hidden @ SY530 @ SV93 )
| ~ ( r2_hidden @ SY531 @ SV93 ) )
| ~ ( ( SY530 != SY531 ) ) ) )
| ~ ~ ~ ( ~ ~ ! [SY532: $i] :
~ ~ ! [SY533: $i] :
~ ~ ( ~ ~ ( ~ ( r2_hidden @ SY532 @ SV93 )
| ~ ( r2_hidden @ SY533 @ SV93 ) )
| ~ ( ( SY532 != SY533 ) ) )
| ~ ( v1_realset1 @ SV93 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6865]) ).
thf(7020,plain,
( ( ~ ~ ( ~ ~ ( v1_xboole_0 @ sK5_SX0 )
| ~ ~ ( v1_realset1 @ sK5_SX0 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[6866]) ).
thf(7021,plain,
! [SV214: $i,SV94: $i] :
( ( ( ( k2_zfmisc_1 @ SV94 @ SV214 )
!= ( k2_zfmisc_1 @ SV214 @ SV94 ) )
| ( SV94 = k1_xboole_0 )
| ( SV214 = k1_xboole_0 )
| ( SV94 = SV214 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6867]) ).
thf(7022,plain,
! [SV215: $i,SV95: $i] :
( ( ~ ( ~ ( ~ ( r2_hidden @ SV95 @ ( k1_ordinal1 @ SV215 ) )
| ( r2_hidden @ SV95 @ SV215 )
| ( SV95 = SV215 ) )
| ~ ( ~ ( ( r2_hidden @ SV95 @ SV215 )
| ( SV95 = SV215 ) )
| ( r2_hidden @ SV95 @ ( k1_ordinal1 @ SV215 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6868]) ).
thf(7023,plain,
! [SV96: $i] :
( ( ( ~ ~ ( v2_setfam_1 @ SV96 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV96 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6869]) ).
thf(7024,plain,
! [SV97: $i] :
( ( ! [SY536: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY536 @ SV97 )
| ( v3_ordinal1 @ SY536 ) )
| ~ ( ~ ( v3_ordinal1 @ SY536 )
| ( r2_hidden @ SY536 @ SV97 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6870]) ).
thf(7025,plain,
! [SV98: $i,SV216: $i] :
( ( ~ ( m1_pboole @ SV216 @ SV98 )
| ( m1_pboole @ ( k1_mboolean @ SV98 @ SV216 ) @ SV98 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6871]) ).
thf(7026,plain,
! [SV217: $i,SV99: $i] :
( ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV99 )
| ~ ~ ( v1_xboole_0 @ SV217 ) )
| ~ ( r1_subset_1 @ SV99 @ SV99 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6872]) ).
thf(7027,plain,
! [SV100: $i,SV218: $i] :
( ( ! [SY732: $i] :
( ~ ~ ( ~ ( m1_pboole @ SV218 @ SV100 )
| ~ ( m1_pboole @ SY732 @ SV100 ) )
| ~ ( r4_pboole @ SV100 @ SV218 @ SY732 )
| ( r4_pboole @ SV100 @ SY732 @ SV218 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6873]) ).
thf(7028,plain,
! [SV219: $i,SV101: $i] :
( ( ! [SY733: $i,SY734: $i] :
( ~ ( ( SV101 != SV219 ) )
| ~ ( ( ( k1_funct_1 @ ( k4_funct_4 @ SV101 @ SV219 @ SY733 @ SY734 ) @ SV101 )
!= SY733 )
| ( ( k1_funct_1 @ ( k4_funct_4 @ SV101 @ SV219 @ SY733 @ SY734 ) @ SV219 )
!= SY734 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6874]) ).
thf(7029,plain,
! [SV102: $i,SV220: $i] :
( ( ~ ( m1_pboole @ SV220 @ SV102 )
| ! [SY735: $i] :
( ~ ( m2_pboole @ SY735 @ SV102 @ SV220 )
| ( m1_pboole @ SY735 @ SV102 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6875]) ).
thf(7030,plain,
! [SV221: $i,SV103: $i] :
( ( ~ ~ ( ~ ( r2_hidden @ SV103 @ SV221 )
| ~ ! [SY736: $i] :
~ ~ ( ~ ( r2_hidden @ SY736 @ SV221 )
| ~ ! [SY737: $i] :
~ ~ ( ~ ( r2_hidden @ SY737 @ SV221 )
| ~ ( r2_hidden @ SY737 @ SY736 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6876]) ).
thf(7031,plain,
! [SV222: $i,SV104: $i] :
( ( ! [SY738: $i] :
~ ( ~ ( ( SY738
!= ( k4_xboole_0 @ SV104 @ SV222 ) )
| ! [SY739: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY739 @ SY738 )
| ~ ( ~ ( r2_hidden @ SY739 @ SV104 )
| ~ ~ ( r2_hidden @ SY739 @ SV222 ) ) )
| ~ ( ~ ~ ( ~ ( r2_hidden @ SY739 @ SV104 )
| ~ ~ ( r2_hidden @ SY739 @ SV222 ) )
| ( r2_hidden @ SY739 @ SY738 ) ) ) )
| ~ ( ~ ! [SY740: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY740 @ SY738 )
| ~ ( ~ ( r2_hidden @ SY740 @ SV104 )
| ~ ~ ( r2_hidden @ SY740 @ SV222 ) ) )
| ~ ( ~ ~ ( ~ ( r2_hidden @ SY740 @ SV104 )
| ~ ~ ( r2_hidden @ SY740 @ SV222 ) )
| ( r2_hidden @ SY740 @ SY738 ) ) )
| ( SY738
= ( k4_xboole_0 @ SV104 @ SV222 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6877]) ).
thf(7032,plain,
! [SV223: $i,SV105: $i] :
( ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV105 )
| ~ ~ ( v1_xboole_0 @ SV223 ) )
| ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ SV105 @ SV223 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6878]) ).
thf(7033,plain,
! [SV106: $i,SV224: $i] :
( ( ! [SY741: $i] :
( ~ ~ ( ~ ( m1_pboole @ SV224 @ SV106 )
| ~ ( m1_pboole @ SY741 @ SV106 ) )
| ( m1_pboole @ ( k3_pboole @ SV106 @ SV224 @ SY741 ) @ SV106 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6879]) ).
thf(7034,plain,
( ( ~ ( v1_xboole_0 @ k1_xboole_0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6880]) ).
thf(7035,plain,
( ( ~ ( v1_relat_1 @ k1_xboole_0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6880]) ).
thf(7036,plain,
! [SV107: $i,SV225: $i] :
( ( ! [SY742: $i] :
( ~ ~ ( ~ ( m1_pboole @ SV225 @ SV107 )
| ~ ( m1_pboole @ SY742 @ SV107 ) )
| ( ( k5_pboole @ SV107 @ SV225 @ SY742 )
= ( k5_pboole @ SV107 @ SY742 @ SV225 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6881]) ).
thf(7037,plain,
! [SV226: $i,SV108: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( v1_xboole_0 @ SV108 )
| ~ ( ( SV108 != SV226 ) ) )
| ~ ( v1_xboole_0 @ SV226 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6882]) ).
thf(7038,plain,
! [SV109: $i,SV227: $i] :
( ( ~ ( m1_pboole @ SV227 @ SV109 )
| ( m1_pboole @ ( k2_mboolean @ SV109 @ SV227 ) @ SV109 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6883]) ).
thf(7039,plain,
! [SV228: $i,SV110: $i] :
( ( ! [SY743: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV110 )
| ~ ( m1_pboole @ SV228 @ SV110 ) )
| ~ ( m1_pboole @ SY743 @ SV110 ) )
| ~ ( r3_pboole @ SV110 @ SV228 @ SY743 )
| ~ ( r3_pboole @ SV110 @ SY743 @ SV228 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6884]) ).
thf(7040,plain,
! [SV111: $i] :
( ( ( ~ ( v1_xboole_0 @ SV111 ) )
= $true )
| ( ( v1_funct_1 @ SV111 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6885]) ).
thf(7041,plain,
! [SV229: $i,SV112: $i] :
( ( ~ ( m1_subset_1 @ SV112 @ SV229 )
| ( v1_xboole_0 @ SV229 )
| ( r2_hidden @ SV112 @ SV229 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6886]) ).
thf(7042,plain,
! [SV113: $i] :
( ( ! [SY563: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY563 @ ( k1_zfmisc_1 @ SV113 ) )
| ~ ( v1_xboole_0 @ SY563 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6887]) ).
thf(7043,plain,
! [SV114: $i,SV230: $i] :
( ( ~ ( m1_subset_1 @ SV230 @ ( k1_zfmisc_1 @ SV114 ) )
| ~ ~ ( ~ ( ( SV230 != k1_xboole_0 ) )
| ~ ! [SY744: $i] :
( ~ ( m1_subset_1 @ SY744 @ SV114 )
| ~ ( r2_hidden @ SY744 @ SV230 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6888]) ).
thf(7044,plain,
( ( ~ ~ ( v1_xboole_0 @ sK6_SX0 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[6889]) ).
thf(7045,plain,
! [SV115: $i] :
( ( ~ ( ( SV115 != k1_xboole_0 )
| ! [SY566: $i] :
~ ( r2_hidden @ SY566 @ SV115 ) )
| ~ ( ~ ! [SY567: $i] :
~ ( r2_hidden @ SY567 @ SV115 )
| ( SV115 = k1_xboole_0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6890]) ).
thf(7046,plain,
( ( ~ ~ ( ~ ( v1_xboole_0 @ sK7_SX0 )
| ~ ( v1_relat_1 @ sK7_SX0 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[6891]) ).
thf(7047,plain,
! [SV116: $i,SV231: $i] :
( ( ~ ( m1_pboole @ SV231 @ SV116 )
| ! [SY745: $i] :
( ~ ( m1_pboole @ SY745 @ SV116 )
| ~ ( ~ ( ~ ( m2_pboole @ SY745 @ SV116 @ SV231 )
| ! [SY746: $i] :
( ~ ( r2_hidden @ SY746 @ SV116 )
| ( m1_subset_1 @ ( k1_funct_1 @ SY745 @ SY746 ) @ ( k1_funct_1 @ SV231 @ SY746 ) ) ) )
| ~ ( ~ ! [SY747: $i] :
( ~ ( r2_hidden @ SY747 @ SV116 )
| ( m1_subset_1 @ ( k1_funct_1 @ SY745 @ SY747 ) @ ( k1_funct_1 @ SV231 @ SY747 ) ) )
| ( m2_pboole @ SY745 @ SV116 @ SV231 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6892]) ).
thf(7048,plain,
! [SV117: $i,SV232: $i] :
( ( ~ ( m1_pboole @ SV232 @ SV117 )
| ! [SY748: $i] :
( ~ ( m1_pboole @ SY748 @ SV117 )
| ! [SY749: $i] :
( ~ ( m1_pboole @ SY749 @ SV117 )
| ~ ~ ( ~ ( r2_pboole @ SV117 @ SV232 @ SY748 )
| ~ ( r2_pboole @ SV117 @ SY748 @ SY749 ) )
| ( r2_pboole @ SV117 @ SV232 @ SY749 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6893]) ).
thf(7049,plain,
! [SV118: $i] :
( ( ( ~ ( v1_xboole_0 @ SV118 ) )
= $true )
| ( ( v1_finset_1 @ SV118 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6894]) ).
thf(7050,plain,
! [SV233: $i,SV119: $i] :
( ( ~ ( ~ ( ~ ( r1_tarski @ SV119 @ SV233 )
| ! [SY750: $i] :
( ~ ( r2_hidden @ SY750 @ SV119 )
| ( r2_hidden @ SY750 @ SV233 ) ) )
| ~ ( ~ ! [SY751: $i] :
( ~ ( r2_hidden @ SY751 @ SV119 )
| ( r2_hidden @ SY751 @ SV233 ) )
| ( r1_tarski @ SV119 @ SV233 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6895]) ).
thf(7051,plain,
! [SV120: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ SV120 ) )
= $true )
| ( ( ! [SY578: $i] :
( ~ ( m1_pboole @ SY578 @ SV120 )
| ! [SY579: $i] :
( ~ ( m1_pboole @ SY579 @ SV120 )
| ( ( k1_funct_4 @ SY578 @ SY579 )
= SY579 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6896]) ).
thf(7052,plain,
! [SV121: $i] :
( ( ~ ( ~ ( r2_wellord2 @ SV121 @ k1_xboole_0 )
| ( SV121 = k1_xboole_0 ) )
| ~ ( ( SV121 != k1_xboole_0 )
| ( r2_wellord2 @ SV121 @ k1_xboole_0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6897]) ).
thf(7053,plain,
! [SV122: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ SV122 ) )
= $true )
| ( ( ! [SY580: $i] :
( ~ ( m1_pboole @ SY580 @ SV122 )
| ! [SY581: $i] :
( ~ ( m1_subset_1 @ SY581 @ ( k2_relat_1 @ SY580 ) )
| ~ ! [SY582: $i] :
~ ~ ( ~ ( r2_hidden @ SY582 @ SV122 )
| ( SY581
!= ( k1_funct_1 @ SY580 @ SY582 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6898]) ).
thf(7054,plain,
! [SV234: $i,SV123: $i] :
( ( ! [SY752: $i] :
~ ~ ( ~ ~ ( ~ ( r2_hidden @ SV123 @ SV234 )
| ~ ( r2_hidden @ SV234 @ SY752 ) )
| ~ ( r2_hidden @ SY752 @ SV123 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6899]) ).
thf(7055,plain,
! [SV124: $i,SV235: $i] :
( ( ~ ( m1_subset_1 @ SV235 @ ( k1_zfmisc_1 @ SV124 ) )
| ~ ! [SY753: $i] :
( ~ ( m1_subset_1 @ SY753 @ SV124 )
| ( r2_hidden @ SY753 @ SV235 ) )
| ( SV124 = SV235 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6900]) ).
thf(7056,plain,
! [SV125: $i,SV236: $i] :
( ( ! [SY754: $i] :
( ~ ~ ( ~ ( m1_pboole @ SV236 @ SV125 )
| ~ ( m1_pboole @ SY754 @ SV125 ) )
| ( r7_pboole @ SV125 @ SV236 @ SV236 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6901]) ).
thf(7057,plain,
! [SV126: $i] :
( ( ( ~ ( v1_xboole_0 @ SV126 ) )
= $true )
| ( ( SV126 = k1_xboole_0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6902]) ).
thf(7058,plain,
! [SV127: $i,SV237: $i] :
( ( ~ ~ ( v1_xboole_0 @ SV237 )
| ~ ( v1_xboole_0 @ ( k1_funct_2 @ SV127 @ SV237 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6903]) ).
thf(7059,plain,
( ( ~ ~ ( ~ ~ ( v1_xboole_0 @ sK8_SX0 )
| ~ ( v1_fraenkel @ sK8_SX0 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[6904]) ).
thf(7060,plain,
! [SV238: $i,SV128: $i] :
( ( ~ ~ ( ~ ( r2_hidden @ SV128 @ SV238 )
| ~ ( r1_tarski @ SV238 @ SV128 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6905]) ).
thf(7061,plain,
! [SV129: $i,SV239: $i] :
( ( ~ ( m1_subset_1 @ SV239 @ ( k1_zfmisc_1 @ SV129 ) )
| ! [SY755: $i] :
( ~ ( m1_subset_1 @ SY755 @ ( k1_zfmisc_1 @ SV129 ) )
| ~ ! [SY756: $i] :
( ~ ( m1_subset_1 @ SY756 @ SV129 )
| ~ ( ~ ( ~ ( r2_hidden @ SY756 @ SV239 )
| ( r2_hidden @ SY756 @ SY755 ) )
| ~ ( ~ ( r2_hidden @ SY756 @ SY755 )
| ( r2_hidden @ SY756 @ SV239 ) ) ) )
| ( SV239 = SY755 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6906]) ).
thf(7062,plain,
( ( ~ ( v1_xboole_0 @ sK9_SX0 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[6907]) ).
thf(7063,plain,
! [SV130: $i] :
( ( ( ~ ~ ( v1_realset1 @ SV130 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV130 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6908]) ).
thf(7064,plain,
! [SV131: $i,SV240: $i] :
( ( ~ ( r2_hidden @ SV240 @ SV131 )
| ( ( k1_funct_1 @ ( k6_relat_1 @ SV131 ) @ SV240 )
= SV240 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6909]) ).
thf(7065,plain,
! [SV132: $i,SV241: $i] :
( ( ~ ( m1_pboole @ SV241 @ SV132 )
| ~ ! [SY757: $i] :
~ ( m2_pboole @ SY757 @ SV132 @ SV241 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6910]) ).
thf(7066,plain,
! [SV242: $i,SV133: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ( SV133
!= ( k1_tarski @ SV242 ) ) )
| ~ ( ( SV133 != k1_xboole_0 ) ) )
| ~ ! [SY758: $i] :
~ ~ ( ~ ( r2_hidden @ SY758 @ SV133 )
| ~ ( ( SY758 != SV242 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6911]) ).
thf(7067,plain,
! [SV243: $i,SV134: $i] :
( ( ! [SY759: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV134 )
| ~ ~ ( v1_xboole_0 @ SV243 ) )
| ~ ~ ( v1_xboole_0 @ SY759 ) )
| ~ ( v1_xboole_0 @ ( k3_zfmisc_1 @ SV134 @ SV243 @ SY759 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6912]) ).
thf(7068,plain,
! [SV244: $i,SV135: $i] :
( ( ~ ! [SY760: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY760 @ SV135 )
| ( r2_hidden @ SY760 @ SV244 ) )
| ~ ( ~ ( r2_hidden @ SY760 @ SV244 )
| ( r2_hidden @ SY760 @ SV135 ) ) )
| ( SV135 = SV244 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6913]) ).
thf(7069,plain,
! [SV136: $i,SV245: $i] :
( ( ~ ( m1_subset_1 @ SV245 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV136 ) ) )
| ! [SY761: $i] :
( ~ ( m1_subset_1 @ SY761 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV136 ) ) )
| ~ ! [SY762: $i] :
( ~ ( m1_subset_1 @ SY762 @ ( k1_zfmisc_1 @ SV136 ) )
| ~ ( ~ ( ~ ( r2_hidden @ SY762 @ SV245 )
| ( r2_hidden @ SY762 @ SY761 ) )
| ~ ( ~ ( r2_hidden @ SY762 @ SY761 )
| ( r2_hidden @ SY762 @ SV245 ) ) ) )
| ( SV245 = SY761 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6914]) ).
thf(7070,plain,
! [SV137: $i,SV246: $i] :
( ( ! [SY763: $i] :
( ~ ~ ( ~ ( m1_pboole @ SV246 @ SV137 )
| ~ ( m1_pboole @ SY763 @ SV137 ) )
| ( r6_pboole @ SV137 @ SV246 @ SV246 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6915]) ).
thf(7071,plain,
! [SV247: $i,SV138: $i] :
( ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV138 )
| ~ ~ ( v1_xboole_0 @ SV247 ) )
| ~ ( r2_subset_1 @ SV138 @ SV247 )
| ( r2_subset_1 @ SV247 @ SV138 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6916]) ).
thf(7072,plain,
( ( ~ ~ ( ~ ~ ( v1_xboole_0 @ sK10_SX0 )
| ~ ( v1_realset1 @ sK10_SX0 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[6917]) ).
thf(7073,plain,
! [SV139: $i,SV248: $i] :
( ( ~ ( m1_pboole @ SV248 @ SV139 )
| ~ ( ~ ( ~ ( v2_relat_1 @ SV248 )
| ! [SY764: $i] :
~ ~ ( ~ ( r2_hidden @ SY764 @ SV139 )
| ~ ( v1_xboole_0 @ ( k1_funct_1 @ SV248 @ SY764 ) ) ) )
| ~ ( ~ ! [SY765: $i] :
~ ~ ( ~ ( r2_hidden @ SY765 @ SV139 )
| ~ ( v1_xboole_0 @ ( k1_funct_1 @ SV248 @ SY765 ) ) )
| ( v2_relat_1 @ SV248 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6918]) ).
thf(7074,plain,
! [SV249: $i,SV140: $i] :
( ( ! [SY766: $i] :
~ ( ~ ( ( SY766
!= ( k2_tarski @ SV140 @ SV249 ) )
| ! [SY767: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY767 @ SY766 )
| ( SY767 = SV140 )
| ( SY767 = SV249 ) )
| ~ ( ~ ( ( SY767 = SV140 )
| ( SY767 = SV249 ) )
| ( r2_hidden @ SY767 @ SY766 ) ) ) )
| ~ ( ~ ! [SY768: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY768 @ SY766 )
| ( SY768 = SV140 )
| ( SY768 = SV249 ) )
| ~ ( ~ ( ( SY768 = SV140 )
| ( SY768 = SV249 ) )
| ( r2_hidden @ SY768 @ SY766 ) ) )
| ( SY766
= ( k2_tarski @ SV140 @ SV249 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6919]) ).
thf(7075,plain,
! [SV250: $i,SV141: $i] :
( ( ! [SY769: $i] :
~ ( ~ ( ~ ( r2_hidden @ SV141 @ ( k5_xboole_0 @ SV250 @ SY769 ) )
| ~ ~ ( ~ ( ~ ( r2_hidden @ SV141 @ SV250 )
| ( r2_hidden @ SV141 @ SY769 ) )
| ~ ( ~ ( r2_hidden @ SV141 @ SY769 )
| ( r2_hidden @ SV141 @ SV250 ) ) ) )
| ~ ( ~ ~ ~ ( ~ ( ~ ( r2_hidden @ SV141 @ SV250 )
| ( r2_hidden @ SV141 @ SY769 ) )
| ~ ( ~ ( r2_hidden @ SV141 @ SY769 )
| ( r2_hidden @ SV141 @ SV250 ) ) )
| ( r2_hidden @ SV141 @ ( k5_xboole_0 @ SV250 @ SY769 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6920]) ).
thf(7076,plain,
! [SV251: $i,SV142: $i] :
( ( ~ ( r2_hidden @ SV142 @ SV251 )
| ~ ( r2_hidden @ SV251 @ SV142 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6921]) ).
thf(7077,plain,
! [SV143: $i,SV252: $i] :
( ( ! [SY770: $i] :
( ~ ~ ( ~ ( m1_pboole @ SV252 @ SV143 )
| ~ ( m1_pboole @ SY770 @ SV143 ) )
| ( m1_pboole @ ( k5_pboole @ SV143 @ SV252 @ SY770 ) @ SV143 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6922]) ).
thf(7078,plain,
! [SV144: $i,SV253: $i] :
( ( ~ ( m1_pboole @ SV253 @ SV144 )
| ! [SY771: $i] :
( ~ ( m1_pboole @ SY771 @ SV144 )
| ! [SY772: $i] :
( ~ ( m1_pboole @ SY772 @ SV144 )
| ~ ~ ( ~ ( r7_pboole @ SV144 @ SV253 @ SY771 )
| ~ ( r7_pboole @ SV144 @ SY771 @ SY772 ) )
| ( r7_pboole @ SV144 @ SV253 @ SY772 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6923]) ).
thf(7079,plain,
! [SV145: $i,SV254: $i] :
( ( ! [SY773: $i] :
( ~ ~ ( ~ ( m1_pboole @ SV254 @ SV145 )
| ~ ( m1_pboole @ SY773 @ SV145 ) )
| ~ ( ~ ( ~ ( r6_pboole @ SV145 @ SV254 @ SY773 )
| ( SV254 = SY773 ) )
| ~ ( ( SV254 != SY773 )
| ( r6_pboole @ SV145 @ SV254 @ SY773 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6924]) ).
thf(7080,plain,
! [SV146: $i] :
( ( ( ~ ~ ( v2_setfam_1 @ SV146 ) )
= $true )
| ( ( ~ ! [SY626: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY626 @ SV146 )
| ~ ~ ( v1_xboole_0 @ SY626 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6925]) ).
thf(7081,plain,
! [SV255: $i,SV147: $i] :
( ( ~ ( r2_hidden @ SV147 @ SV255 )
| ( m1_subset_1 @ SV147 @ SV255 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6926]) ).
thf(7082,plain,
! [SV256: $i,SV148: $i] :
( ( ~ ( ~ ( ~ ( ( SV148 != k1_xboole_0 ) )
| ~ ( ~ ( ( SV256
!= ( k1_setfam_1 @ SV148 ) )
| ! [SY774: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY774 @ SV256 )
| ! [SY630: $i] :
( ~ ( r2_hidden @ SY630 @ SV148 )
| ( r2_hidden @ SY774 @ SY630 ) ) )
| ~ ( ~ ! [SY631: $i] :
( ~ ( r2_hidden @ SY631 @ SV148 )
| ( r2_hidden @ SY774 @ SY631 ) )
| ( r2_hidden @ SY774 @ SV256 ) ) ) )
| ~ ( ~ ! [SY777: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY777 @ SV256 )
| ! [SY633: $i] :
( ~ ( r2_hidden @ SY633 @ SV148 )
| ( r2_hidden @ SY777 @ SY633 ) ) )
| ~ ( ~ ! [SY634: $i] :
( ~ ( r2_hidden @ SY634 @ SV148 )
| ( r2_hidden @ SY777 @ SY634 ) )
| ( r2_hidden @ SY777 @ SV256 ) ) )
| ( SV256
= ( k1_setfam_1 @ SV148 ) ) ) ) )
| ~ ( ( SV148 != k1_xboole_0 )
| ~ ( ~ ( ( SV256
!= ( k1_setfam_1 @ SV148 ) )
| ( SV256 = k1_xboole_0 ) )
| ~ ( ( SV256 != k1_xboole_0 )
| ( SV256
= ( k1_setfam_1 @ SV148 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6927]) ).
thf(7083,plain,
! [SV149: $i,SV257: $i] :
( ( ~ ( ~ ( ( SV257
!= ( k1_tarski @ SV149 ) )
| ! [SY780: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY780 @ SV257 )
| ( SY780 = SV149 ) )
| ~ ( ( SY780 != SV149 )
| ( r2_hidden @ SY780 @ SV257 ) ) ) )
| ~ ( ~ ! [SY781: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY781 @ SV257 )
| ( SY781 = SV149 ) )
| ~ ( ( SY781 != SV149 )
| ( r2_hidden @ SY781 @ SV257 ) ) )
| ( SV257
= ( k1_tarski @ SV149 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6928]) ).
thf(7084,plain,
! [SV258: $i,SV150: $i] :
( ( ~ ( ~ ~ ~ ( ~ ~ ( r1_xboole_0 @ SV150 @ SV258 )
| ~ ! [SY782: $i] :
~ ~ ( ~ ( r2_hidden @ SY782 @ SV150 )
| ~ ( r2_hidden @ SY782 @ SV258 ) ) )
| ~ ~ ~ ( ~ ~ ! [SY783: $i] :
~ ~ ( ~ ( r2_hidden @ SY783 @ SV150 )
| ~ ( r2_hidden @ SY783 @ SV258 ) )
| ~ ( r1_xboole_0 @ SV150 @ SV258 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6929]) ).
thf(7085,plain,
! [SV151: $i,SV259: $i] :
( ( ~ ( ~ ( ( SV259
!= ( k3_tarski @ SV151 ) )
| ! [SY784: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY784 @ SV259 )
| ~ ! [SY643: $i] :
~ ~ ( ~ ( r2_hidden @ SY784 @ SY643 )
| ~ ( r2_hidden @ SY643 @ SV151 ) ) )
| ~ ( ~ ~ ! [SY644: $i] :
~ ~ ( ~ ( r2_hidden @ SY784 @ SY644 )
| ~ ( r2_hidden @ SY644 @ SV151 ) )
| ( r2_hidden @ SY784 @ SV259 ) ) ) )
| ~ ( ~ ! [SY787: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY787 @ SV259 )
| ~ ! [SY646: $i] :
~ ~ ( ~ ( r2_hidden @ SY787 @ SY646 )
| ~ ( r2_hidden @ SY646 @ SV151 ) ) )
| ~ ( ~ ~ ! [SY647: $i] :
~ ~ ( ~ ( r2_hidden @ SY787 @ SY647 )
| ~ ( r2_hidden @ SY647 @ SV151 ) )
| ( r2_hidden @ SY787 @ SV259 ) ) )
| ( SV259
= ( k3_tarski @ SV151 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6930]) ).
thf(7086,plain,
! [SV260: $i,SV152: $i] :
( ( ~ ~ ( v1_xboole_0 @ SV152 )
| ~ ( v1_xboole_0 @ ( k2_xboole_0 @ SV260 @ SV152 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6931]) ).
thf(7087,plain,
! [SV153: $i,SV261: $i] :
( ( ! [SY790: $i] :
( ~ ~ ( ~ ( m1_pboole @ SV261 @ SV153 )
| ~ ( m1_pboole @ SY790 @ SV153 ) )
| ( ( k2_pboole @ SV153 @ SV261 @ SV261 )
= SV261 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6932]) ).
thf(7088,plain,
! [SV154: $i] :
( ( ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV154 )
| ~ ( v1_setfam_1 @ SV154 ) ) )
= $true )
| ( ( ! [SY651: $i] :
( ~ ( m1_subset_1 @ SY651 @ SV154 )
| ~ ( v1_xboole_0 @ SY651 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6933]) ).
thf(7089,plain,
! [SV155: $i] :
( ( ( ~ ( v1_xboole_0 @ SV155 ) )
= $true )
| ( ( v1_fraenkel @ SV155 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6934]) ).
thf(7090,plain,
! [SV156: $i] :
( ( ! [SY652: $i] :
( ~ ( v3_ordinal1 @ SY652 )
| ( r2_hidden @ SY652 @ SV156 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6935]) ).
thf(7091,plain,
! [SV157: $i] :
( ( ( ~ ( ( SV157 != k1_xboole_0 ) ) )
= $true )
| ( ( r2_xboole_0 @ k1_xboole_0 @ SV157 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6936]) ).
thf(7092,plain,
! [SV158: $i] :
( ( ~ ( ~ ( v2_setfam_1 @ SV158 )
| ! [SY653: $i] :
( ~ ~ ( v1_xboole_0 @ SY653 )
| ~ ( r2_hidden @ SY653 @ SV158 ) ) )
| ~ ( ~ ! [SY654: $i] :
( ~ ~ ( v1_xboole_0 @ SY654 )
| ~ ( r2_hidden @ SY654 @ SV158 ) )
| ( v2_setfam_1 @ SV158 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6937]) ).
thf(7093,plain,
! [SV262: $i,SV159: $i] :
( ( ~ ( ~ ( ( ( k2_zfmisc_1 @ SV159 @ SV262 )
!= k1_xboole_0 )
| ( SV159 = k1_xboole_0 )
| ( SV262 = k1_xboole_0 ) )
| ~ ( ~ ( ( SV159 = k1_xboole_0 )
| ( SV262 = k1_xboole_0 ) )
| ( ( k2_zfmisc_1 @ SV159 @ SV262 )
= k1_xboole_0 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6938]) ).
thf(7094,plain,
! [SV160: $i] :
( ( ~ ( ~ ( v1_setfam_1 @ SV160 )
| ~ ( r2_hidden @ k1_xboole_0 @ SV160 ) )
| ~ ( ~ ~ ( r2_hidden @ k1_xboole_0 @ SV160 )
| ( v1_setfam_1 @ SV160 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6939]) ).
thf(7095,plain,
! [SV161: $i,SV263: $i] :
( ( ! [SY791: $i] :
( ~ ~ ( ~ ( m1_pboole @ SV263 @ SV161 )
| ~ ( m1_pboole @ SY791 @ SV161 ) )
| ~ ! [SY792: $i] :
~ ( m3_pboole @ SY792 @ SV161 @ SV263 @ SY791 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6940]) ).
thf(7096,plain,
! [SV162: $i,SV264: $i] :
( ( ! [SY793: $i] :
( ~ ( m2_relset_1 @ SY793 @ SV264 @ SV162 )
| ~ ( m2_relset_1 @ SY793 @ SV264 @ k1_xboole_0 )
| ( SY793 = k1_xboole_0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6941]) ).
thf(7097,plain,
! [SV265: $i,SV163: $i] :
( ( ! [SY794: $i] :
( ~ ! [SY795: $i] :
~ ( ~ ( ~ ~ ( r2_hidden @ SY795 @ SV163 )
| ~ ( ~ ( ~ ( r2_hidden @ SY795 @ SV265 )
| ( r2_hidden @ SY795 @ SY794 ) )
| ~ ( ~ ( r2_hidden @ SY795 @ SY794 )
| ( r2_hidden @ SY795 @ SV265 ) ) ) )
| ~ ( ~ ~ ( ~ ( ~ ( r2_hidden @ SY795 @ SV265 )
| ( r2_hidden @ SY795 @ SY794 ) )
| ~ ( ~ ( r2_hidden @ SY795 @ SY794 )
| ( r2_hidden @ SY795 @ SV265 ) ) )
| ~ ( r2_hidden @ SY795 @ SV163 ) ) )
| ( SV163
= ( k5_xboole_0 @ SV265 @ SY794 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6942]) ).
thf(7098,plain,
! [SV164: $i] :
( ( ( ~ ~ $true )
= $true )
| ( ( ! [SY664: $i] :
( ~ ( m1_subset_1 @ SY664 @ SV164 )
| ( SY664
= ( k8_subset_1 @ SV164 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6943]) ).
thf(7099,plain,
! [SV165: $i,SV266: $i] :
( ( ! [SY796: $i] :
( ~ ~ ( ~ ( m1_pboole @ SV266 @ SV165 )
| ~ ( m1_pboole @ SY796 @ SV165 ) )
| ~ ( r6_pboole @ SV165 @ SV266 @ SY796 )
| ( r6_pboole @ SV165 @ SY796 @ SV266 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6944]) ).
thf(7100,plain,
! [SV267: $i,SV166: $i] :
( ( ! [SY797: $i,SY798: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV166 )
| ~ ~ ( v1_xboole_0 @ SV267 ) )
| ~ ~ ( v1_xboole_0 @ SY797 ) )
| ~ ~ ( v1_xboole_0 @ SY798 ) )
| ~ ( v1_xboole_0 @ ( k4_zfmisc_1 @ SV166 @ SV267 @ SY797 @ SY798 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6945]) ).
thf(7101,plain,
! [SV268: $i,SV167: $i] :
( ( ! [SY799: $i] :
( ~ ( m2_relset_1 @ SY799 @ SV167 @ SV268 )
| ~ ( m2_relset_1 @ SY799 @ k1_xboole_0 @ SV268 )
| ( SY799 = k1_xboole_0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6946]) ).
thf(7102,plain,
( ( ~ ( m1_pboole @ sK11_SX0 @ sK1_A )
| ! [SY800: $i] :
( ~ ( m1_subset_1 @ SY800 @ sK1_A )
| ~ ~ ( r2_hidden @ SY800 @ ( k1_closure3 @ sK1_A @ sK11_SX0 ) )
| ( ( k1_funct_1 @ sK11_SX0 @ SY800 )
= k1_xboole_0 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[6947]) ).
thf(7103,plain,
! [SV168: $i,SV269: $i] :
( ( ~ ( m1_pboole @ SV269 @ SV168 )
| ~ ( ~ ( ~ ( v3_relat_1 @ SV269 )
| ! [SY801: $i] :
( ~ ( r2_hidden @ SY801 @ SV168 )
| ( v1_xboole_0 @ ( k1_funct_1 @ SV269 @ SY801 ) ) ) )
| ~ ( ~ ! [SY802: $i] :
( ~ ( r2_hidden @ SY802 @ SV168 )
| ( v1_xboole_0 @ ( k1_funct_1 @ SV269 @ SY802 ) ) )
| ( v3_relat_1 @ SV269 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6948]) ).
thf(7104,plain,
! [SV169: $i,SV10: $i] :
( ( v1_xboole_0 @ ( k4_tarski @ SV10 @ SV169 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6950]) ).
thf(7105,plain,
! [SV170: $i,SV13: $i] :
( ( v1_xboole_0 @ ( k2_tarski @ SV13 @ SV170 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6953]) ).
thf(7106,plain,
! [SV172: $i,SV26: $i] :
( ( v1_xboole_0 @ ( k4_partfun1 @ SV26 @ SV172 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6956]) ).
thf(7107,plain,
! [SV39: $i,SV176: $i] :
( ( ( ~ ( m1_subset_1 @ SV176 @ SV39 ) )
= $true )
| ( ( ! [SY675: $i,SY676: $i] :
( ( ( g2_struct_0 @ SV39 @ SV176 )
!= ( g2_struct_0 @ SY675 @ SY676 ) )
| ~ ( ( SV39 != SY675 )
| ( SV176 != SY676 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6962]) ).
thf(7108,plain,
! [SV40: $i,SV177: $i] :
( ( ( ~ ( v3_ordinal1 @ SV177 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV40 @ SV177 )
| ( v3_ordinal1 @ SV40 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6963]) ).
thf(7109,plain,
! [SV41: $i,SV178: $i] :
( ( ( ~ ( m1_pboole @ SV178 @ SV41 ) )
= $true )
| ( ( ! [SY677: $i] :
( ~ ( m4_pboole @ SY677 @ SV41 @ SV178 )
| ( m1_pboole @ SY677 @ SV41 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6964]) ).
thf(7110,plain,
! [SV42: $i,SV179: $i] :
( ( ( ~ ( m1_pboole @ SV179 @ SV42 ) )
= $true )
| ( ( ~ ! [SY678: $i] :
~ ( m4_pboole @ SY678 @ SV42 @ SV179 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6965]) ).
thf(7111,plain,
( ( ~ ( ~ ~ ( v1_xboole_0 @ sK2_SX0 )
| ~ ( v1_setfam_1 @ sK2_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6966]) ).
thf(7112,plain,
! [SV180: $i,SV43: $i,SV270: $i] :
( ( ~ ( ~ ( ( SV270
!= ( k3_xboole_0 @ SV43 @ SV180 ) )
| ! [SY803: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY803 @ SV270 )
| ~ ( ~ ( r2_hidden @ SY803 @ SV43 )
| ~ ( r2_hidden @ SY803 @ SV180 ) ) )
| ~ ( ~ ~ ( ~ ( r2_hidden @ SY803 @ SV43 )
| ~ ( r2_hidden @ SY803 @ SV180 ) )
| ( r2_hidden @ SY803 @ SV270 ) ) ) )
| ~ ( ~ ! [SY804: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY804 @ SV270 )
| ~ ( ~ ( r2_hidden @ SY804 @ SV43 )
| ~ ( r2_hidden @ SY804 @ SV180 ) ) )
| ~ ( ~ ~ ( ~ ( r2_hidden @ SY804 @ SV43 )
| ~ ( r2_hidden @ SY804 @ SV180 ) )
| ( r2_hidden @ SY804 @ SV270 ) ) )
| ( SV270
= ( k3_xboole_0 @ SV43 @ SV180 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6967]) ).
thf(7113,plain,
! [SV271: $i,SV44: $i,SV181: $i] :
( ( ~ ~ ( ~ ( m1_pboole @ SV181 @ SV44 )
| ~ ( m1_pboole @ SV271 @ SV44 ) )
| ( m1_pboole @ ( k11_pboole @ SV44 @ SV181 @ SV271 ) @ SV44 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6968]) ).
thf(7114,plain,
! [SV45: $i] :
( ( ( m1_pboole @ SV45 @ k1_xboole_0 )
= $false )
| ( ( SV45 = k1_xboole_0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6969]) ).
thf(7115,plain,
! [SV46: $i] :
( ( ~ ( m1_subset_1 @ ( sK12_SY438 @ SV46 ) @ SV46 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[6970]) ).
thf(7116,plain,
! [SV182: $i,SV47: $i] :
( ( ( ( k2_xboole_0 @ SV47 @ SV182 )
!= k1_xboole_0 )
= $true )
| ( ( SV47 = k1_xboole_0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6971]) ).
thf(7117,plain,
! [SV272: $i,SV48: $i,SV183: $i] :
( ( ~ ~ ( ~ ( m1_pboole @ SV183 @ SV48 )
| ~ ( m1_pboole @ SV272 @ SV48 ) )
| ( ( k2_pboole @ SV48 @ SV183 @ SV272 )
= ( k2_pboole @ SV48 @ SV272 @ SV183 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6972]) ).
thf(7118,plain,
! [SV49: $i] :
( ( ~ ( ~ ( v2_ordinal1 @ SV49 )
| ! [SY442: $i,SY443: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ SY442 @ SV49 )
| ~ ( r2_hidden @ SY443 @ SV49 ) )
| ~ ~ ( r2_hidden @ SY442 @ SY443 ) )
| ~ ( ( SY442 != SY443 ) ) )
| ~ ~ ( r2_hidden @ SY443 @ SY442 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6973]) ).
thf(7119,plain,
! [SV49: $i] :
( ( ~ ( ~ ! [SY444: $i,SY445: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ SY444 @ SV49 )
| ~ ( r2_hidden @ SY445 @ SV49 ) )
| ~ ~ ( r2_hidden @ SY444 @ SY445 ) )
| ~ ( ( SY444 != SY445 ) ) )
| ~ ~ ( r2_hidden @ SY445 @ SY444 ) )
| ( v2_ordinal1 @ SV49 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6973]) ).
thf(7120,plain,
! [SV273: $i,SV184: $i,SV50: $i] :
( ( ! [SY805: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ SV50 @ SV184 )
| ~ ( r2_hidden @ SV184 @ SV273 ) )
| ~ ( r2_hidden @ SV273 @ SY805 ) )
| ~ ( r2_hidden @ SY805 @ SV50 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6974]) ).
thf(7121,plain,
! [SV51: $i] :
( ( ( r2_hidden @ k1_xboole_0 @ SV51 )
= $false )
| ( ( ( k1_setfam_1 @ SV51 )
= k1_xboole_0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6975]) ).
thf(7122,plain,
! [SV274: $i,SV52: $i,SV185: $i] :
( ( ~ ~ ( ~ ( m1_pboole @ SV185 @ SV52 )
| ~ ( m1_pboole @ SV274 @ SV52 ) )
| ! [SY806: $i] :
( ~ ( m3_pboole @ SY806 @ SV52 @ SV185 @ SV274 )
| ( m1_pboole @ SY806 @ SV52 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6976]) ).
thf(7123,plain,
! [SV53: $i] :
( ( ( SV53 != k1_xboole_0 )
= $false )
| ( ( ( k1_funct_2 @ SV53 @ k1_xboole_0 )
= k1_xboole_0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6977]) ).
thf(7124,plain,
! [SV54: $i,SV186: $i] :
( ( ( ~ ( m1_subset_1 @ SV186 @ SV54 ) )
= $true )
| ( ( ~ ! [SY688: $i] :
~ ( m3_realset1 @ SY688 @ SV54 @ SV186 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6978]) ).
thf(7125,plain,
! [SV55: $i] :
( ( ( ~ ( v1_xboole_0 @ SV55 ) )
= $false )
| ( ( ~ ! [SY454: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY454 @ ( k1_zfmisc_1 @ SV55 ) )
| ~ ~ ( v1_xboole_0 @ SY454 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6979]) ).
thf(7126,plain,
! [SV56: $i] :
( ( ( r1_setfam_1 @ SV56 @ k1_xboole_0 )
= $false )
| ( ( SV56 = k1_xboole_0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6980]) ).
thf(7127,plain,
! [SV187: $i,SV57: $i] :
( ( ( ~ ~ ( ~ ! [SY456: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY456 @ SV57 )
| ( p1_s3_xboole_0 @ SY456 ) )
| ~ ( ~ ( p1_s3_xboole_0 @ SY456 )
| ( r2_hidden @ SY456 @ SV57 ) ) )
| ~ ! [SY690: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY690 @ SV187 )
| ( p1_s3_xboole_0 @ SY690 ) )
| ~ ( ~ ( p1_s3_xboole_0 @ SY690 )
| ( r2_hidden @ SY690 @ SV187 ) ) ) ) )
= $true )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6981]) ).
thf(7128,plain,
! [SV188: $i,SV58: $i] :
( ( ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV58 )
| ~ ~ ( v1_xboole_0 @ SV188 ) ) )
= $true )
| ( ( ~ ( r2_subset_1 @ SV58 @ SV58 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6982]) ).
thf(7129,plain,
! [SV59: $i] :
( ( ( ~ ( v1_xboole_0 @ SV59 ) )
= $false )
| ( ( ! [SY459: $i] :
( ~ ( m1_pboole @ SY459 @ SV59 )
| ! [SY460: $i] :
~ ( ~ ( ( SY460
!= ( k1_closure3 @ SV59 @ SY459 ) )
| ( SY460
= ( a_2_0_closure3 @ SV59 @ SY459 ) ) )
| ~ ( ( SY460
!= ( a_2_0_closure3 @ SV59 @ SY459 ) )
| ( SY460
= ( k1_closure3 @ SV59 @ SY459 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6983]) ).
thf(7130,plain,
! [SV60: $i] :
( ( ~ ~ ~ ( ~ ~ ( r1_xboole_0 @ SV60 @ SV60 )
| ( SV60 != k1_xboole_0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6984]) ).
thf(7131,plain,
! [SV60: $i] :
( ( ~ ~ ~ ( ~ ( ( SV60 != k1_xboole_0 ) )
| ~ ( r1_xboole_0 @ SV60 @ SV60 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6984]) ).
thf(7132,plain,
! [SV275: $i,SV189: $i,SV61: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV61 )
| ~ ( v2_relat_1 @ SV189 ) )
| ~ ( m1_pboole @ SV189 @ SV61 ) )
| ~ ( m1_subset_1 @ SV275 @ SV61 ) )
| ~ ( v1_xboole_0 @ ( k1_funct_1 @ SV189 @ SV275 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6985]) ).
thf(7133,plain,
! [SV276: $i,SV62: $i,SV190: $i] :
( ( ~ ~ ( ~ ( m1_pboole @ SV190 @ SV62 )
| ~ ( m1_pboole @ SV276 @ SV62 ) )
| ( r2_pboole @ SV62 @ SV190 @ SV190 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6986]) ).
thf(7134,plain,
! [SV63: $i,SV191: $i] :
( ( ( ~ ( m1_pboole @ SV191 @ SV63 ) )
= $true )
| ( ( ! [SY693: $i] :
( ~ ( r2_hidden @ SY693 @ SV63 )
| ( m1_subset_1 @ ( k1_funct_1 @ SV191 @ SY693 ) @ ( k2_relat_1 @ SV191 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6987]) ).
thf(7135,plain,
! [SV64: $i] :
( ( ( v3_ordinal1 @ SV64 )
= $false )
| ( ( ! [SY467: $i] :
( ~ ( v3_ordinal1 @ SY467 )
| ~ ~ ( ~ ~ ( ~ ~ ( r2_hidden @ SV64 @ SY467 )
| ~ ( ( SV64 != SY467 ) ) )
| ~ ~ ( r2_hidden @ SY467 @ SV64 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6988]) ).
thf(7136,plain,
! [SV65: $i,SV277: $i,SV192: $i] :
( ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV192 )
| ~ ( m1_pboole @ SV277 @ SV192 ) )
| ~ ( ~ ( ~ ( r2_hidden @ SV65 @ ( a_2_0_closure3 @ SV192 @ SV277 ) )
| ~ ! [SY807: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY807 @ SV192 )
| ( SV65 != SY807 ) )
| ~ ( ( ( k1_funct_1 @ SV277 @ SY807 )
!= k1_xboole_0 ) ) ) )
| ~ ( ~ ~ ! [SY808: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY808 @ SV192 )
| ( SV65 != SY808 ) )
| ~ ( ( ( k1_funct_1 @ SV277 @ SY808 )
!= k1_xboole_0 ) ) )
| ( r2_hidden @ SV65 @ ( a_2_0_closure3 @ SV192 @ SV277 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6989]) ).
thf(7137,plain,
! [SV193: $i,SV66: $i] :
( ( ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV66 )
| ~ ~ ( v1_xboole_0 @ SV193 ) ) )
= $true )
| ( ( ~ ( r1_subset_1 @ SV66 @ SV193 )
| ( r1_subset_1 @ SV193 @ SV66 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6990]) ).
thf(7138,plain,
! [SV67: $i] :
( ( ( ~ ( v1_xboole_0 @ SV67 ) )
= $false )
| ( ( ( k6_relat_1 @ SV67 )
!= k1_xboole_0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6991]) ).
thf(7139,plain,
( ( ~ ( ~ ~ ( v1_xboole_0 @ sK3_SX0 )
| ~ ( v1_relat_1 @ sK3_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6992]) ).
thf(7140,plain,
! [SV278: $i,SV194: $i,SV68: $i] :
( ( ! [SY809: $i] :
( ( ( k2_zfmisc_1 @ SV68 @ SV194 )
!= ( k2_zfmisc_1 @ SV278 @ SY809 ) )
| ( SV68 = k1_xboole_0 )
| ( SV194 = k1_xboole_0 )
| ~ ( ( SV68 != SV278 )
| ( SV194 != SY809 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6993]) ).
thf(7141,plain,
! [SV279: $i,SV69: $i,SV195: $i] :
( ( ~ ~ ( ~ ( m1_pboole @ SV195 @ SV69 )
| ~ ( m1_pboole @ SV279 @ SV69 ) )
| ( m1_pboole @ ( k2_pboole @ SV69 @ SV195 @ SV279 ) @ SV69 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6994]) ).
thf(7142,plain,
! [SV70: $i] :
( ( ~ ( ~ ( v1_xboole_0 @ SV70 )
| ( SV70 = k1_xboole_0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6995]) ).
thf(7143,plain,
! [SV70: $i] :
( ( ~ ( ( SV70 != k1_xboole_0 )
| ( v1_xboole_0 @ SV70 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6995]) ).
thf(7144,plain,
! [SV196: $i,SV71: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ SV71 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k2_xboole_0 @ SV71 @ SV196 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6996]) ).
thf(7145,plain,
! [SV280: $i,SV72: $i,SV197: $i] :
( ( ~ ~ ( ~ ( m1_pboole @ SV197 @ SV72 )
| ~ ( m1_pboole @ SV280 @ SV72 ) )
| ( m1_pboole @ ( k4_pboole @ SV72 @ SV197 @ SV280 ) @ SV72 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6997]) ).
thf(7146,plain,
! [SV198: $i,SV73: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY482: $i] :
~ ~ ( ~ ( r2_hidden @ SY482 @ SV73 )
| ~ ! [SX3: $i,SX4: $i] :
( SY482
!= ( k4_tarski @ SX3 @ SX4 ) ) )
| ~ ! [SY704: $i] :
~ ~ ( ~ ( r2_hidden @ SY704 @ SV198 )
| ~ ! [SX3: $i,SX4: $i] :
( SY704
!= ( k4_tarski @ SX3 @ SX4 ) ) ) )
| ~ ! [SY707: $i,SY708: $i] :
~ ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 ) )
| ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 ) ) ) ) )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6998]) ).
thf(7147,plain,
! [SV74: $i,SV199: $i] :
( ( ( ~ ( m1_pboole @ SV199 @ SV74 ) )
= $true )
| ( ( ~ ! [SY709: $i] :
( ~ ( r2_hidden @ SY709 @ SV74 )
| ( ( k1_funct_1 @ SV199 @ SY709 )
= k1_xboole_0 ) )
| ( SV199
= ( k1_pboole @ SV74 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6999]) ).
thf(7148,plain,
! [SV75: $i] :
( ( ~ ~ ( ~ ( m1_finseq_2 @ ( sK13_SY492 @ SV75 ) @ SV75 )
| ~ ~ ( v1_xboole_0 @ ( sK13_SY492 @ SV75 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[7000]) ).
thf(7149,plain,
! [SV76: $i,SV200: $i] :
( ( ( ~ ( m1_pboole @ SV200 @ SV76 ) )
= $true )
| ( ( ! [SY710: $i] :
( ~ ( m1_pboole @ SY710 @ SV76 )
| ~ ( ~ ( ~ ( r1_pboole @ SV76 @ SV200 @ SY710 )
| ! [SY711: $i] :
( ~ ( r2_hidden @ SY711 @ SV76 )
| ( r2_hidden @ ( k1_funct_1 @ SV200 @ SY711 ) @ ( k1_funct_1 @ SY710 @ SY711 ) ) ) )
| ~ ( ~ ! [SY712: $i] :
( ~ ( r2_hidden @ SY712 @ SV76 )
| ( r2_hidden @ ( k1_funct_1 @ SV200 @ SY712 ) @ ( k1_funct_1 @ SY710 @ SY712 ) ) )
| ( r1_pboole @ SV76 @ SV200 @ SY710 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7001]) ).
thf(7150,plain,
! [SV281: $i,SV77: $i,SV201: $i] :
( ( ~ ~ ( ~ ( m1_pboole @ SV201 @ SV77 )
| ~ ( m1_pboole @ SV281 @ SV77 ) )
| ( ( k3_pboole @ SV77 @ SV201 @ SV201 )
= SV201 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[7002]) ).
thf(7151,plain,
! [SV282: $i,SV78: $i,SV202: $i] :
( ( ~ ( r2_hidden @ SV202 @ SV78 )
| ( ( k1_funct_1 @ ( k2_funcop_1 @ SV78 @ SV282 ) @ SV202 )
= SV282 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[7003]) ).
thf(7152,plain,
! [SV283: $i,SV203: $i,SV79: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ SV79 @ SV203 )
| ~ ( m1_subset_1 @ SV203 @ ( k1_zfmisc_1 @ SV283 ) ) )
| ~ ( v1_xboole_0 @ SV283 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[7004]) ).
thf(7153,plain,
( ( ~ ( ~ ~ ( v1_xboole_0 @ sK4_SX0 )
| ~ ( v1_finset_1 @ sK4_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7005]) ).
thf(7154,plain,
! [SV284: $i,SV204: $i,SV80: $i] :
( ( ! [SY810: $i,SY811: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ SV80 @ SV204 )
| ~ ( r2_hidden @ SV204 @ SV284 ) )
| ~ ( r2_hidden @ SV284 @ SY810 ) )
| ~ ( r2_hidden @ SY810 @ SY811 ) )
| ~ ( r2_hidden @ SY811 @ SV80 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[7006]) ).
thf(7155,plain,
! [SV285: $i,SV81: $i,SV205: $i] :
( ( ~ ~ ( ~ ( m1_pboole @ SV205 @ SV81 )
| ~ ( m1_pboole @ SV285 @ SV81 ) )
| ~ ( r5_pboole @ SV81 @ SV205 @ SV285 )
| ( r5_pboole @ SV81 @ SV285 @ SV205 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[7007]) ).
thf(7156,plain,
! [SV206: $i,SV82: $i,SV286: $i] :
( ( ~ ( ~ ( ( SV286
!= ( k2_xboole_0 @ SV82 @ SV206 ) )
| ! [SY812: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY812 @ SV286 )
| ( r2_hidden @ SY812 @ SV82 )
| ( r2_hidden @ SY812 @ SV206 ) )
| ~ ( ~ ( ( r2_hidden @ SY812 @ SV82 )
| ( r2_hidden @ SY812 @ SV206 ) )
| ( r2_hidden @ SY812 @ SV286 ) ) ) )
| ~ ( ~ ! [SY813: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY813 @ SV286 )
| ( r2_hidden @ SY813 @ SV82 )
| ( r2_hidden @ SY813 @ SV206 ) )
| ~ ( ~ ( ( r2_hidden @ SY813 @ SV82 )
| ( r2_hidden @ SY813 @ SV206 ) )
| ( r2_hidden @ SY813 @ SV286 ) ) )
| ( SV286
= ( k2_xboole_0 @ SV82 @ SV206 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[7008]) ).
thf(7157,plain,
! [SV83: $i] :
( ( ( r1_tarski @ SV83 @ k1_xboole_0 )
= $false )
| ( ( SV83 = k1_xboole_0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7009]) ).
thf(7158,plain,
! [SV287: $i,SV207: $i,SV84: $i] :
( ( ! [SY814: $i,SY815: $i,SY816: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ SV84 @ SV207 )
| ~ ( r2_hidden @ SV207 @ SV287 ) )
| ~ ( r2_hidden @ SV287 @ SY814 ) )
| ~ ( r2_hidden @ SY814 @ SY815 ) )
| ~ ( r2_hidden @ SY815 @ SY816 ) )
| ~ ( r2_hidden @ SY816 @ SV84 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[7010]) ).
thf(7159,plain,
! [SV208: $i,SV85: $i] :
( ( ~ ( ~ ~ ( v1_xboole_0 @ SV85 )
| ~ ( ~ ( ~ ( m1_subset_1 @ SV208 @ SV85 )
| ( r2_hidden @ SV208 @ SV85 ) )
| ~ ( ~ ( r2_hidden @ SV208 @ SV85 )
| ( m1_subset_1 @ SV208 @ SV85 ) ) ) )
| ~ ( ~ ( v1_xboole_0 @ SV85 )
| ~ ( ~ ( ~ ( m1_subset_1 @ SV208 @ SV85 )
| ( v1_xboole_0 @ SV208 ) )
| ~ ( ~ ( v1_xboole_0 @ SV208 )
| ( m1_subset_1 @ SV208 @ SV85 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[7011]) ).
thf(7160,plain,
! [SV288: $i,SV86: $i,SV209: $i] :
( ( ~ ~ ( ~ ( m1_pboole @ SV209 @ SV86 )
| ~ ( m1_pboole @ SV288 @ SV86 ) )
| ( ( k3_pboole @ SV86 @ SV209 @ SV288 )
= ( k3_pboole @ SV86 @ SV288 @ SV209 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[7012]) ).
thf(7161,plain,
! [SV87: $i] :
( ( ( v1_xboole_0 @ SV87 )
= $false )
| ( ( v1_relat_1 @ SV87 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7013]) ).
thf(7162,plain,
! [SV88: $i] :
( ( ~ ( m1_pboole @ ( sK14_SY521 @ SV88 ) @ SV88 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[7014]) ).
thf(7163,plain,
! [SV210: $i,SV89: $i] :
( ( ~ ( ~ ( r2_hidden @ SV89 @ SV210 )
| ~ ( v1_xboole_0 @ SV210 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[7015]) ).
thf(7164,plain,
! [SV90: $i,SV211: $i] :
( ( ( ~ ( m1_pboole @ SV211 @ SV90 ) )
= $true )
| ( ( ! [SY728: $i] :
( ~ ( m1_pboole @ SY728 @ SV90 )
| ~ ! [SY729: $i] :
( ~ ( r2_hidden @ SY729 @ SV90 )
| ( ( k1_funct_1 @ SV211 @ SY729 )
= ( k1_funct_1 @ SY728 @ SY729 ) ) )
| ( SV211 = SY728 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7016]) ).
thf(7165,plain,
! [SV289: $i,SV212: $i,SV91: $i] :
( ( ~ ~ ( ~ ( r2_hidden @ SV91 @ SV212 )
| ~ ( m1_subset_1 @ SV212 @ ( k1_zfmisc_1 @ SV289 ) ) )
| ( m1_subset_1 @ SV91 @ SV289 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[7017]) ).
thf(7166,plain,
! [SV290: $i,SV92: $i,SV213: $i] :
( ( ~ ~ ( ~ ( m1_pboole @ SV213 @ SV92 )
| ~ ( m1_pboole @ SV290 @ SV92 ) )
| ( m1_pboole @ ( k12_pboole @ SV92 @ SV213 @ SV290 ) @ SV92 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[7018]) ).
thf(7167,plain,
! [SV93: $i] :
( ( ~ ~ ~ ( ~ ~ ( v1_realset1 @ SV93 )
| ~ ! [SY530: $i,SY531: $i] :
~ ~ ( ~ ~ ( ~ ( r2_hidden @ SY530 @ SV93 )
| ~ ( r2_hidden @ SY531 @ SV93 ) )
| ~ ( ( SY530 != SY531 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7019]) ).
thf(7168,plain,
! [SV93: $i] :
( ( ~ ~ ~ ( ~ ~ ! [SY532: $i] :
~ ~ ! [SY533: $i] :
~ ~ ( ~ ~ ( ~ ( r2_hidden @ SY532 @ SV93 )
| ~ ( r2_hidden @ SY533 @ SV93 ) )
| ~ ( ( SY532 != SY533 ) ) )
| ~ ( v1_realset1 @ SV93 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7019]) ).
thf(7169,plain,
( ( ~ ( ~ ~ ( v1_xboole_0 @ sK5_SX0 )
| ~ ~ ( v1_realset1 @ sK5_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7020]) ).
thf(7170,plain,
! [SV214: $i,SV94: $i] :
( ( ( ( k2_zfmisc_1 @ SV94 @ SV214 )
!= ( k2_zfmisc_1 @ SV214 @ SV94 ) )
= $true )
| ( ( ( SV94 = k1_xboole_0 )
| ( SV214 = k1_xboole_0 )
| ( SV94 = SV214 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7021]) ).
thf(7171,plain,
! [SV215: $i,SV95: $i] :
( ( ~ ( ~ ( r2_hidden @ SV95 @ ( k1_ordinal1 @ SV215 ) )
| ( r2_hidden @ SV95 @ SV215 )
| ( SV95 = SV215 ) )
| ~ ( ~ ( ( r2_hidden @ SV95 @ SV215 )
| ( SV95 = SV215 ) )
| ( r2_hidden @ SV95 @ ( k1_ordinal1 @ SV215 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[7022]) ).
thf(7172,plain,
! [SV96: $i] :
( ( ( ~ ( v2_setfam_1 @ SV96 ) )
= $false )
| ( ( ~ ( v1_xboole_0 @ SV96 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7023]) ).
thf(7173,plain,
! [SV97: $i] :
( ( ~ ( ~ ( ~ ( r2_hidden @ ( sK15_SY536 @ SV97 ) @ SV97 )
| ( v3_ordinal1 @ ( sK15_SY536 @ SV97 ) ) )
| ~ ( ~ ( v3_ordinal1 @ ( sK15_SY536 @ SV97 ) )
| ( r2_hidden @ ( sK15_SY536 @ SV97 ) @ SV97 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[7024]) ).
thf(7174,plain,
! [SV98: $i,SV216: $i] :
( ( ( ~ ( m1_pboole @ SV216 @ SV98 ) )
= $true )
| ( ( m1_pboole @ ( k1_mboolean @ SV98 @ SV216 ) @ SV98 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7025]) ).
thf(7175,plain,
! [SV217: $i,SV99: $i] :
( ( ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV99 )
| ~ ~ ( v1_xboole_0 @ SV217 ) ) )
= $true )
| ( ( ~ ( r1_subset_1 @ SV99 @ SV99 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7026]) ).
thf(7176,plain,
! [SV291: $i,SV100: $i,SV218: $i] :
( ( ~ ~ ( ~ ( m1_pboole @ SV218 @ SV100 )
| ~ ( m1_pboole @ SV291 @ SV100 ) )
| ~ ( r4_pboole @ SV100 @ SV218 @ SV291 )
| ( r4_pboole @ SV100 @ SV291 @ SV218 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[7027]) ).
thf(7177,plain,
! [SV292: $i,SV219: $i,SV101: $i] :
( ( ! [SY817: $i] :
( ~ ( ( SV101 != SV219 ) )
| ~ ( ( ( k1_funct_1 @ ( k4_funct_4 @ SV101 @ SV219 @ SV292 @ SY817 ) @ SV101 )
!= SV292 )
| ( ( k1_funct_1 @ ( k4_funct_4 @ SV101 @ SV219 @ SV292 @ SY817 ) @ SV219 )
!= SY817 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[7028]) ).
thf(7178,plain,
! [SV102: $i,SV220: $i] :
( ( ( ~ ( m1_pboole @ SV220 @ SV102 ) )
= $true )
| ( ( ! [SY735: $i] :
( ~ ( m2_pboole @ SY735 @ SV102 @ SV220 )
| ( m1_pboole @ SY735 @ SV102 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7029]) ).
thf(7179,plain,
! [SV221: $i,SV103: $i] :
( ( ~ ( ~ ( r2_hidden @ SV103 @ SV221 )
| ~ ! [SY736: $i] :
~ ~ ( ~ ( r2_hidden @ SY736 @ SV221 )
| ~ ! [SY737: $i] :
~ ~ ( ~ ( r2_hidden @ SY737 @ SV221 )
| ~ ( r2_hidden @ SY737 @ SY736 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[7030]) ).
thf(7180,plain,
! [SV222: $i,SV104: $i,SV293: $i] :
( ( ~ ( ~ ( ( SV293
!= ( k4_xboole_0 @ SV104 @ SV222 ) )
| ! [SY818: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY818 @ SV293 )
| ~ ( ~ ( r2_hidden @ SY818 @ SV104 )
| ~ ~ ( r2_hidden @ SY818 @ SV222 ) ) )
| ~ ( ~ ~ ( ~ ( r2_hidden @ SY818 @ SV104 )
| ~ ~ ( r2_hidden @ SY818 @ SV222 ) )
| ( r2_hidden @ SY818 @ SV293 ) ) ) )
| ~ ( ~ ! [SY819: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY819 @ SV293 )
| ~ ( ~ ( r2_hidden @ SY819 @ SV104 )
| ~ ~ ( r2_hidden @ SY819 @ SV222 ) ) )
| ~ ( ~ ~ ( ~ ( r2_hidden @ SY819 @ SV104 )
| ~ ~ ( r2_hidden @ SY819 @ SV222 ) )
| ( r2_hidden @ SY819 @ SV293 ) ) )
| ( SV293
= ( k4_xboole_0 @ SV104 @ SV222 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[7031]) ).
thf(7181,plain,
! [SV223: $i,SV105: $i] :
( ( ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV105 )
| ~ ~ ( v1_xboole_0 @ SV223 ) ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ SV105 @ SV223 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7032]) ).
thf(7182,plain,
! [SV294: $i,SV106: $i,SV224: $i] :
( ( ~ ~ ( ~ ( m1_pboole @ SV224 @ SV106 )
| ~ ( m1_pboole @ SV294 @ SV106 ) )
| ( m1_pboole @ ( k3_pboole @ SV106 @ SV224 @ SV294 ) @ SV106 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[7033]) ).
thf(7183,plain,
( ( v1_xboole_0 @ k1_xboole_0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7034]) ).
thf(7184,plain,
( ( v1_relat_1 @ k1_xboole_0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7035]) ).
thf(7185,plain,
! [SV295: $i,SV107: $i,SV225: $i] :
( ( ~ ~ ( ~ ( m1_pboole @ SV225 @ SV107 )
| ~ ( m1_pboole @ SV295 @ SV107 ) )
| ( ( k5_pboole @ SV107 @ SV225 @ SV295 )
= ( k5_pboole @ SV107 @ SV295 @ SV225 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[7036]) ).
thf(7186,plain,
! [SV226: $i,SV108: $i] :
( ( ~ ( ~ ~ ( ~ ( v1_xboole_0 @ SV108 )
| ~ ( ( SV108 != SV226 ) ) )
| ~ ( v1_xboole_0 @ SV226 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[7037]) ).
thf(7187,plain,
! [SV109: $i,SV227: $i] :
( ( ( ~ ( m1_pboole @ SV227 @ SV109 ) )
= $true )
| ( ( m1_pboole @ ( k2_mboolean @ SV109 @ SV227 ) @ SV109 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7038]) ).
thf(7188,plain,
! [SV296: $i,SV228: $i,SV110: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV110 )
| ~ ( m1_pboole @ SV228 @ SV110 ) )
| ~ ( m1_pboole @ SV296 @ SV110 ) )
| ~ ( r3_pboole @ SV110 @ SV228 @ SV296 )
| ~ ( r3_pboole @ SV110 @ SV296 @ SV228 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[7039]) ).
thf(7189,plain,
! [SV111: $i] :
( ( ( v1_xboole_0 @ SV111 )
= $false )
| ( ( v1_funct_1 @ SV111 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7040]) ).
thf(7190,plain,
! [SV229: $i,SV112: $i] :
( ( ( ~ ( m1_subset_1 @ SV112 @ SV229 ) )
= $true )
| ( ( ( v1_xboole_0 @ SV229 )
| ( r2_hidden @ SV112 @ SV229 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7041]) ).
thf(7191,plain,
! [SV113: $i] :
( ( ~ ~ ( ~ ( m1_subset_1 @ ( sK16_SY563 @ SV113 ) @ ( k1_zfmisc_1 @ SV113 ) )
| ~ ( v1_xboole_0 @ ( sK16_SY563 @ SV113 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[7042]) ).
thf(7192,plain,
! [SV114: $i,SV230: $i] :
( ( ( ~ ( m1_subset_1 @ SV230 @ ( k1_zfmisc_1 @ SV114 ) ) )
= $true )
| ( ( ~ ~ ( ~ ( ( SV230 != k1_xboole_0 ) )
| ~ ! [SY744: $i] :
( ~ ( m1_subset_1 @ SY744 @ SV114 )
| ~ ( r2_hidden @ SY744 @ SV230 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7043]) ).
thf(7193,plain,
( ( ~ ( v1_xboole_0 @ sK6_SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7044]) ).
thf(7194,plain,
! [SV115: $i] :
( ( ~ ( ( SV115 != k1_xboole_0 )
| ! [SY566: $i] :
~ ( r2_hidden @ SY566 @ SV115 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7045]) ).
thf(7195,plain,
! [SV115: $i] :
( ( ~ ( ~ ! [SY567: $i] :
~ ( r2_hidden @ SY567 @ SV115 )
| ( SV115 = k1_xboole_0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7045]) ).
thf(7196,plain,
( ( ~ ( ~ ( v1_xboole_0 @ sK7_SX0 )
| ~ ( v1_relat_1 @ sK7_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7046]) ).
thf(7197,plain,
! [SV116: $i,SV231: $i] :
( ( ( ~ ( m1_pboole @ SV231 @ SV116 ) )
= $true )
| ( ( ! [SY745: $i] :
( ~ ( m1_pboole @ SY745 @ SV116 )
| ~ ( ~ ( ~ ( m2_pboole @ SY745 @ SV116 @ SV231 )
| ! [SY746: $i] :
( ~ ( r2_hidden @ SY746 @ SV116 )
| ( m1_subset_1 @ ( k1_funct_1 @ SY745 @ SY746 ) @ ( k1_funct_1 @ SV231 @ SY746 ) ) ) )
| ~ ( ~ ! [SY747: $i] :
( ~ ( r2_hidden @ SY747 @ SV116 )
| ( m1_subset_1 @ ( k1_funct_1 @ SY745 @ SY747 ) @ ( k1_funct_1 @ SV231 @ SY747 ) ) )
| ( m2_pboole @ SY745 @ SV116 @ SV231 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7047]) ).
thf(7198,plain,
! [SV117: $i,SV232: $i] :
( ( ( ~ ( m1_pboole @ SV232 @ SV117 ) )
= $true )
| ( ( ! [SY748: $i] :
( ~ ( m1_pboole @ SY748 @ SV117 )
| ! [SY749: $i] :
( ~ ( m1_pboole @ SY749 @ SV117 )
| ~ ~ ( ~ ( r2_pboole @ SV117 @ SV232 @ SY748 )
| ~ ( r2_pboole @ SV117 @ SY748 @ SY749 ) )
| ( r2_pboole @ SV117 @ SV232 @ SY749 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7048]) ).
thf(7199,plain,
! [SV118: $i] :
( ( ( v1_xboole_0 @ SV118 )
= $false )
| ( ( v1_finset_1 @ SV118 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7049]) ).
thf(7200,plain,
! [SV233: $i,SV119: $i] :
( ( ~ ( ~ ( r1_tarski @ SV119 @ SV233 )
| ! [SY750: $i] :
( ~ ( r2_hidden @ SY750 @ SV119 )
| ( r2_hidden @ SY750 @ SV233 ) ) )
| ~ ( ~ ! [SY751: $i] :
( ~ ( r2_hidden @ SY751 @ SV119 )
| ( r2_hidden @ SY751 @ SV233 ) )
| ( r1_tarski @ SV119 @ SV233 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[7050]) ).
thf(7201,plain,
! [SV120: $i] :
( ( ( ~ ( v1_xboole_0 @ SV120 ) )
= $false )
| ( ( ! [SY578: $i] :
( ~ ( m1_pboole @ SY578 @ SV120 )
| ! [SY579: $i] :
( ~ ( m1_pboole @ SY579 @ SV120 )
| ( ( k1_funct_4 @ SY578 @ SY579 )
= SY579 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7051]) ).
thf(7202,plain,
! [SV121: $i] :
( ( ~ ( ~ ( r2_wellord2 @ SV121 @ k1_xboole_0 )
| ( SV121 = k1_xboole_0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7052]) ).
thf(7203,plain,
! [SV121: $i] :
( ( ~ ( ( SV121 != k1_xboole_0 )
| ( r2_wellord2 @ SV121 @ k1_xboole_0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7052]) ).
thf(7204,plain,
! [SV122: $i] :
( ( ( ~ ( v1_xboole_0 @ SV122 ) )
= $false )
| ( ( ! [SY580: $i] :
( ~ ( m1_pboole @ SY580 @ SV122 )
| ! [SY581: $i] :
( ~ ( m1_subset_1 @ SY581 @ ( k2_relat_1 @ SY580 ) )
| ~ ! [SY582: $i] :
~ ~ ( ~ ( r2_hidden @ SY582 @ SV122 )
| ( SY581
!= ( k1_funct_1 @ SY580 @ SY582 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7053]) ).
thf(7205,plain,
! [SV297: $i,SV234: $i,SV123: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ SV123 @ SV234 )
| ~ ( r2_hidden @ SV234 @ SV297 ) )
| ~ ( r2_hidden @ SV297 @ SV123 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[7054]) ).
thf(7206,plain,
! [SV124: $i,SV235: $i] :
( ( ( ~ ( m1_subset_1 @ SV235 @ ( k1_zfmisc_1 @ SV124 ) ) )
= $true )
| ( ( ~ ! [SY753: $i] :
( ~ ( m1_subset_1 @ SY753 @ SV124 )
| ( r2_hidden @ SY753 @ SV235 ) )
| ( SV124 = SV235 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7055]) ).
thf(7207,plain,
! [SV298: $i,SV125: $i,SV236: $i] :
( ( ~ ~ ( ~ ( m1_pboole @ SV236 @ SV125 )
| ~ ( m1_pboole @ SV298 @ SV125 ) )
| ( r7_pboole @ SV125 @ SV236 @ SV236 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[7056]) ).
thf(7208,plain,
! [SV126: $i] :
( ( ( v1_xboole_0 @ SV126 )
= $false )
| ( ( SV126 = k1_xboole_0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7057]) ).
thf(7209,plain,
! [SV127: $i,SV237: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ SV237 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k1_funct_2 @ SV127 @ SV237 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7058]) ).
thf(7210,plain,
( ( ~ ( ~ ~ ( v1_xboole_0 @ sK8_SX0 )
| ~ ( v1_fraenkel @ sK8_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7059]) ).
thf(7211,plain,
! [SV238: $i,SV128: $i] :
( ( ~ ( ~ ( r2_hidden @ SV128 @ SV238 )
| ~ ( r1_tarski @ SV238 @ SV128 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[7060]) ).
thf(7212,plain,
! [SV129: $i,SV239: $i] :
( ( ( ~ ( m1_subset_1 @ SV239 @ ( k1_zfmisc_1 @ SV129 ) ) )
= $true )
| ( ( ! [SY755: $i] :
( ~ ( m1_subset_1 @ SY755 @ ( k1_zfmisc_1 @ SV129 ) )
| ~ ! [SY756: $i] :
( ~ ( m1_subset_1 @ SY756 @ SV129 )
| ~ ( ~ ( ~ ( r2_hidden @ SY756 @ SV239 )
| ( r2_hidden @ SY756 @ SY755 ) )
| ~ ( ~ ( r2_hidden @ SY756 @ SY755 )
| ( r2_hidden @ SY756 @ SV239 ) ) ) )
| ( SV239 = SY755 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7061]) ).
thf(7213,plain,
( ( v1_xboole_0 @ sK9_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7062]) ).
thf(7214,plain,
! [SV130: $i] :
( ( ( ~ ( v1_realset1 @ SV130 ) )
= $false )
| ( ( ~ ( v1_xboole_0 @ SV130 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7063]) ).
thf(7215,plain,
! [SV131: $i,SV240: $i] :
( ( ( ~ ( r2_hidden @ SV240 @ SV131 ) )
= $true )
| ( ( ( k1_funct_1 @ ( k6_relat_1 @ SV131 ) @ SV240 )
= SV240 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7064]) ).
thf(7216,plain,
! [SV132: $i,SV241: $i] :
( ( ( ~ ( m1_pboole @ SV241 @ SV132 ) )
= $true )
| ( ( ~ ! [SY757: $i] :
~ ( m2_pboole @ SY757 @ SV132 @ SV241 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7065]) ).
thf(7217,plain,
! [SV242: $i,SV133: $i] :
( ( ~ ( ~ ~ ( ~ ( ( SV133
!= ( k1_tarski @ SV242 ) ) )
| ~ ( ( SV133 != k1_xboole_0 ) ) )
| ~ ! [SY758: $i] :
~ ~ ( ~ ( r2_hidden @ SY758 @ SV133 )
| ~ ( ( SY758 != SV242 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[7066]) ).
thf(7218,plain,
! [SV299: $i,SV243: $i,SV134: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV134 )
| ~ ~ ( v1_xboole_0 @ SV243 ) )
| ~ ~ ( v1_xboole_0 @ SV299 ) )
| ~ ( v1_xboole_0 @ ( k3_zfmisc_1 @ SV134 @ SV243 @ SV299 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[7067]) ).
thf(7219,plain,
! [SV244: $i,SV135: $i] :
( ( ( ~ ! [SY760: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY760 @ SV135 )
| ( r2_hidden @ SY760 @ SV244 ) )
| ~ ( ~ ( r2_hidden @ SY760 @ SV244 )
| ( r2_hidden @ SY760 @ SV135 ) ) ) )
= $true )
| ( ( SV135 = SV244 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7068]) ).
thf(7220,plain,
! [SV136: $i,SV245: $i] :
( ( ( ~ ( m1_subset_1 @ SV245 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV136 ) ) ) )
= $true )
| ( ( ! [SY761: $i] :
( ~ ( m1_subset_1 @ SY761 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV136 ) ) )
| ~ ! [SY762: $i] :
( ~ ( m1_subset_1 @ SY762 @ ( k1_zfmisc_1 @ SV136 ) )
| ~ ( ~ ( ~ ( r2_hidden @ SY762 @ SV245 )
| ( r2_hidden @ SY762 @ SY761 ) )
| ~ ( ~ ( r2_hidden @ SY762 @ SY761 )
| ( r2_hidden @ SY762 @ SV245 ) ) ) )
| ( SV245 = SY761 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7069]) ).
thf(7221,plain,
! [SV300: $i,SV137: $i,SV246: $i] :
( ( ~ ~ ( ~ ( m1_pboole @ SV246 @ SV137 )
| ~ ( m1_pboole @ SV300 @ SV137 ) )
| ( r6_pboole @ SV137 @ SV246 @ SV246 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[7070]) ).
thf(7222,plain,
! [SV247: $i,SV138: $i] :
( ( ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV138 )
| ~ ~ ( v1_xboole_0 @ SV247 ) ) )
= $true )
| ( ( ~ ( r2_subset_1 @ SV138 @ SV247 )
| ( r2_subset_1 @ SV247 @ SV138 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7071]) ).
thf(7223,plain,
( ( ~ ( ~ ~ ( v1_xboole_0 @ sK10_SX0 )
| ~ ( v1_realset1 @ sK10_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7072]) ).
thf(7224,plain,
! [SV139: $i,SV248: $i] :
( ( ( ~ ( m1_pboole @ SV248 @ SV139 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( v2_relat_1 @ SV248 )
| ! [SY764: $i] :
~ ~ ( ~ ( r2_hidden @ SY764 @ SV139 )
| ~ ( v1_xboole_0 @ ( k1_funct_1 @ SV248 @ SY764 ) ) ) )
| ~ ( ~ ! [SY765: $i] :
~ ~ ( ~ ( r2_hidden @ SY765 @ SV139 )
| ~ ( v1_xboole_0 @ ( k1_funct_1 @ SV248 @ SY765 ) ) )
| ( v2_relat_1 @ SV248 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7073]) ).
thf(7225,plain,
! [SV249: $i,SV140: $i,SV301: $i] :
( ( ~ ( ~ ( ( SV301
!= ( k2_tarski @ SV140 @ SV249 ) )
| ! [SY820: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY820 @ SV301 )
| ( SY820 = SV140 )
| ( SY820 = SV249 ) )
| ~ ( ~ ( ( SY820 = SV140 )
| ( SY820 = SV249 ) )
| ( r2_hidden @ SY820 @ SV301 ) ) ) )
| ~ ( ~ ! [SY821: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY821 @ SV301 )
| ( SY821 = SV140 )
| ( SY821 = SV249 ) )
| ~ ( ~ ( ( SY821 = SV140 )
| ( SY821 = SV249 ) )
| ( r2_hidden @ SY821 @ SV301 ) ) )
| ( SV301
= ( k2_tarski @ SV140 @ SV249 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[7074]) ).
thf(7226,plain,
! [SV302: $i,SV250: $i,SV141: $i] :
( ( ~ ( ~ ( ~ ( r2_hidden @ SV141 @ ( k5_xboole_0 @ SV250 @ SV302 ) )
| ~ ~ ( ~ ( ~ ( r2_hidden @ SV141 @ SV250 )
| ( r2_hidden @ SV141 @ SV302 ) )
| ~ ( ~ ( r2_hidden @ SV141 @ SV302 )
| ( r2_hidden @ SV141 @ SV250 ) ) ) )
| ~ ( ~ ~ ~ ( ~ ( ~ ( r2_hidden @ SV141 @ SV250 )
| ( r2_hidden @ SV141 @ SV302 ) )
| ~ ( ~ ( r2_hidden @ SV141 @ SV302 )
| ( r2_hidden @ SV141 @ SV250 ) ) )
| ( r2_hidden @ SV141 @ ( k5_xboole_0 @ SV250 @ SV302 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[7075]) ).
thf(7227,plain,
! [SV251: $i,SV142: $i] :
( ( ( ~ ( r2_hidden @ SV142 @ SV251 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV251 @ SV142 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7076]) ).
thf(7228,plain,
! [SV303: $i,SV143: $i,SV252: $i] :
( ( ~ ~ ( ~ ( m1_pboole @ SV252 @ SV143 )
| ~ ( m1_pboole @ SV303 @ SV143 ) )
| ( m1_pboole @ ( k5_pboole @ SV143 @ SV252 @ SV303 ) @ SV143 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[7077]) ).
thf(7229,plain,
! [SV144: $i,SV253: $i] :
( ( ( ~ ( m1_pboole @ SV253 @ SV144 ) )
= $true )
| ( ( ! [SY771: $i] :
( ~ ( m1_pboole @ SY771 @ SV144 )
| ! [SY772: $i] :
( ~ ( m1_pboole @ SY772 @ SV144 )
| ~ ~ ( ~ ( r7_pboole @ SV144 @ SV253 @ SY771 )
| ~ ( r7_pboole @ SV144 @ SY771 @ SY772 ) )
| ( r7_pboole @ SV144 @ SV253 @ SY772 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7078]) ).
thf(7230,plain,
! [SV304: $i,SV145: $i,SV254: $i] :
( ( ~ ~ ( ~ ( m1_pboole @ SV254 @ SV145 )
| ~ ( m1_pboole @ SV304 @ SV145 ) )
| ~ ( ~ ( ~ ( r6_pboole @ SV145 @ SV254 @ SV304 )
| ( SV254 = SV304 ) )
| ~ ( ( SV254 != SV304 )
| ( r6_pboole @ SV145 @ SV254 @ SV304 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[7079]) ).
thf(7231,plain,
! [SV146: $i] :
( ( ( ~ ( v2_setfam_1 @ SV146 ) )
= $false )
| ( ( ~ ! [SY626: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY626 @ SV146 )
| ~ ~ ( v1_xboole_0 @ SY626 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7080]) ).
thf(7232,plain,
! [SV255: $i,SV147: $i] :
( ( ( ~ ( r2_hidden @ SV147 @ SV255 ) )
= $true )
| ( ( m1_subset_1 @ SV147 @ SV255 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7081]) ).
thf(7233,plain,
! [SV256: $i,SV148: $i] :
( ( ~ ( ~ ( ( SV148 != k1_xboole_0 ) )
| ~ ( ~ ( ( SV256
!= ( k1_setfam_1 @ SV148 ) )
| ! [SY774: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY774 @ SV256 )
| ! [SY630: $i] :
( ~ ( r2_hidden @ SY630 @ SV148 )
| ( r2_hidden @ SY774 @ SY630 ) ) )
| ~ ( ~ ! [SY631: $i] :
( ~ ( r2_hidden @ SY631 @ SV148 )
| ( r2_hidden @ SY774 @ SY631 ) )
| ( r2_hidden @ SY774 @ SV256 ) ) ) )
| ~ ( ~ ! [SY777: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY777 @ SV256 )
| ! [SY633: $i] :
( ~ ( r2_hidden @ SY633 @ SV148 )
| ( r2_hidden @ SY777 @ SY633 ) ) )
| ~ ( ~ ! [SY634: $i] :
( ~ ( r2_hidden @ SY634 @ SV148 )
| ( r2_hidden @ SY777 @ SY634 ) )
| ( r2_hidden @ SY777 @ SV256 ) ) )
| ( SV256
= ( k1_setfam_1 @ SV148 ) ) ) ) )
| ~ ( ( SV148 != k1_xboole_0 )
| ~ ( ~ ( ( SV256
!= ( k1_setfam_1 @ SV148 ) )
| ( SV256 = k1_xboole_0 ) )
| ~ ( ( SV256 != k1_xboole_0 )
| ( SV256
= ( k1_setfam_1 @ SV148 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[7082]) ).
thf(7234,plain,
! [SV149: $i,SV257: $i] :
( ( ~ ( ( SV257
!= ( k1_tarski @ SV149 ) )
| ! [SY780: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY780 @ SV257 )
| ( SY780 = SV149 ) )
| ~ ( ( SY780 != SV149 )
| ( r2_hidden @ SY780 @ SV257 ) ) ) )
| ~ ( ~ ! [SY781: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY781 @ SV257 )
| ( SY781 = SV149 ) )
| ~ ( ( SY781 != SV149 )
| ( r2_hidden @ SY781 @ SV257 ) ) )
| ( SV257
= ( k1_tarski @ SV149 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[7083]) ).
thf(7235,plain,
! [SV258: $i,SV150: $i] :
( ( ~ ~ ~ ( ~ ~ ( r1_xboole_0 @ SV150 @ SV258 )
| ~ ! [SY782: $i] :
~ ~ ( ~ ( r2_hidden @ SY782 @ SV150 )
| ~ ( r2_hidden @ SY782 @ SV258 ) ) )
| ~ ~ ~ ( ~ ~ ! [SY783: $i] :
~ ~ ( ~ ( r2_hidden @ SY783 @ SV150 )
| ~ ( r2_hidden @ SY783 @ SV258 ) )
| ~ ( r1_xboole_0 @ SV150 @ SV258 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[7084]) ).
thf(7236,plain,
! [SV151: $i,SV259: $i] :
( ( ~ ( ( SV259
!= ( k3_tarski @ SV151 ) )
| ! [SY784: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY784 @ SV259 )
| ~ ! [SY643: $i] :
~ ~ ( ~ ( r2_hidden @ SY784 @ SY643 )
| ~ ( r2_hidden @ SY643 @ SV151 ) ) )
| ~ ( ~ ~ ! [SY644: $i] :
~ ~ ( ~ ( r2_hidden @ SY784 @ SY644 )
| ~ ( r2_hidden @ SY644 @ SV151 ) )
| ( r2_hidden @ SY784 @ SV259 ) ) ) )
| ~ ( ~ ! [SY787: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY787 @ SV259 )
| ~ ! [SY646: $i] :
~ ~ ( ~ ( r2_hidden @ SY787 @ SY646 )
| ~ ( r2_hidden @ SY646 @ SV151 ) ) )
| ~ ( ~ ~ ! [SY647: $i] :
~ ~ ( ~ ( r2_hidden @ SY787 @ SY647 )
| ~ ( r2_hidden @ SY647 @ SV151 ) )
| ( r2_hidden @ SY787 @ SV259 ) ) )
| ( SV259
= ( k3_tarski @ SV151 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[7085]) ).
thf(7237,plain,
! [SV260: $i,SV152: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ SV152 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k2_xboole_0 @ SV260 @ SV152 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7086]) ).
thf(7238,plain,
! [SV305: $i,SV153: $i,SV261: $i] :
( ( ~ ~ ( ~ ( m1_pboole @ SV261 @ SV153 )
| ~ ( m1_pboole @ SV305 @ SV153 ) )
| ( ( k2_pboole @ SV153 @ SV261 @ SV261 )
= SV261 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[7087]) ).
thf(7239,plain,
! [SV154: $i] :
( ( ( ~ ( ~ ~ ( v1_xboole_0 @ SV154 )
| ~ ( v1_setfam_1 @ SV154 ) ) )
= $false )
| ( ( ! [SY651: $i] :
( ~ ( m1_subset_1 @ SY651 @ SV154 )
| ~ ( v1_xboole_0 @ SY651 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7088]) ).
thf(7240,plain,
! [SV155: $i] :
( ( ( v1_xboole_0 @ SV155 )
= $false )
| ( ( v1_fraenkel @ SV155 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7089]) ).
thf(7241,plain,
! [SV156: $i] :
( ( ~ ( v3_ordinal1 @ ( sK17_SY652 @ SV156 ) )
| ( r2_hidden @ ( sK17_SY652 @ SV156 ) @ SV156 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[7090]) ).
thf(7242,plain,
! [SV157: $i] :
( ( ( SV157 != k1_xboole_0 )
= $false )
| ( ( r2_xboole_0 @ k1_xboole_0 @ SV157 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7091]) ).
thf(7243,plain,
! [SV158: $i] :
( ( ~ ( ~ ( v2_setfam_1 @ SV158 )
| ! [SY653: $i] :
( ~ ~ ( v1_xboole_0 @ SY653 )
| ~ ( r2_hidden @ SY653 @ SV158 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7092]) ).
thf(7244,plain,
! [SV158: $i] :
( ( ~ ( ~ ! [SY654: $i] :
( ~ ~ ( v1_xboole_0 @ SY654 )
| ~ ( r2_hidden @ SY654 @ SV158 ) )
| ( v2_setfam_1 @ SV158 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7092]) ).
thf(7245,plain,
! [SV262: $i,SV159: $i] :
( ( ~ ( ( ( k2_zfmisc_1 @ SV159 @ SV262 )
!= k1_xboole_0 )
| ( SV159 = k1_xboole_0 )
| ( SV262 = k1_xboole_0 ) )
| ~ ( ~ ( ( SV159 = k1_xboole_0 )
| ( SV262 = k1_xboole_0 ) )
| ( ( k2_zfmisc_1 @ SV159 @ SV262 )
= k1_xboole_0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[7093]) ).
thf(7246,plain,
! [SV160: $i] :
( ( ~ ( ~ ( v1_setfam_1 @ SV160 )
| ~ ( r2_hidden @ k1_xboole_0 @ SV160 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7094]) ).
thf(7247,plain,
! [SV160: $i] :
( ( ~ ( ~ ~ ( r2_hidden @ k1_xboole_0 @ SV160 )
| ( v1_setfam_1 @ SV160 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7094]) ).
thf(7248,plain,
! [SV306: $i,SV161: $i,SV263: $i] :
( ( ~ ~ ( ~ ( m1_pboole @ SV263 @ SV161 )
| ~ ( m1_pboole @ SV306 @ SV161 ) )
| ~ ! [SY822: $i] :
~ ( m3_pboole @ SY822 @ SV161 @ SV263 @ SV306 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[7095]) ).
thf(7249,plain,
! [SV162: $i,SV264: $i,SV307: $i] :
( ( ~ ( m2_relset_1 @ SV307 @ SV264 @ SV162 )
| ~ ( m2_relset_1 @ SV307 @ SV264 @ k1_xboole_0 )
| ( SV307 = k1_xboole_0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[7096]) ).
thf(7250,plain,
! [SV308: $i,SV265: $i,SV163: $i] :
( ( ~ ! [SY823: $i] :
~ ( ~ ( ~ ~ ( r2_hidden @ SY823 @ SV163 )
| ~ ( ~ ( ~ ( r2_hidden @ SY823 @ SV265 )
| ( r2_hidden @ SY823 @ SV308 ) )
| ~ ( ~ ( r2_hidden @ SY823 @ SV308 )
| ( r2_hidden @ SY823 @ SV265 ) ) ) )
| ~ ( ~ ~ ( ~ ( ~ ( r2_hidden @ SY823 @ SV265 )
| ( r2_hidden @ SY823 @ SV308 ) )
| ~ ( ~ ( r2_hidden @ SY823 @ SV308 )
| ( r2_hidden @ SY823 @ SV265 ) ) )
| ~ ( r2_hidden @ SY823 @ SV163 ) ) )
| ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[7097]) ).
thf(7251,plain,
! [SV164: $i] :
( ( ( ~ $true ) = $false )
| ( ( ! [SY664: $i] :
( ~ ( m1_subset_1 @ SY664 @ SV164 )
| ( SY664
= ( k8_subset_1 @ SV164 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7098]) ).
thf(7252,plain,
! [SV309: $i,SV165: $i,SV266: $i] :
( ( ~ ~ ( ~ ( m1_pboole @ SV266 @ SV165 )
| ~ ( m1_pboole @ SV309 @ SV165 ) )
| ~ ( r6_pboole @ SV165 @ SV266 @ SV309 )
| ( r6_pboole @ SV165 @ SV309 @ SV266 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[7099]) ).
thf(7253,plain,
! [SV310: $i,SV267: $i,SV166: $i] :
( ( ! [SY824: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV166 )
| ~ ~ ( v1_xboole_0 @ SV267 ) )
| ~ ~ ( v1_xboole_0 @ SV310 ) )
| ~ ~ ( v1_xboole_0 @ SY824 ) )
| ~ ( v1_xboole_0 @ ( k4_zfmisc_1 @ SV166 @ SV267 @ SV310 @ SY824 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[7100]) ).
thf(7254,plain,
! [SV268: $i,SV167: $i,SV311: $i] :
( ( ~ ( m2_relset_1 @ SV311 @ SV167 @ SV268 )
| ~ ( m2_relset_1 @ SV311 @ k1_xboole_0 @ SV268 )
| ( SV311 = k1_xboole_0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[7101]) ).
thf(7255,plain,
( ( ~ ( m1_pboole @ sK11_SX0 @ sK1_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7102]) ).
thf(7256,plain,
( ( ! [SY800: $i] :
( ~ ( m1_subset_1 @ SY800 @ sK1_A )
| ~ ~ ( r2_hidden @ SY800 @ ( k1_closure3 @ sK1_A @ sK11_SX0 ) )
| ( ( k1_funct_1 @ sK11_SX0 @ SY800 )
= k1_xboole_0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7102]) ).
thf(7257,plain,
! [SV168: $i,SV269: $i] :
( ( ( ~ ( m1_pboole @ SV269 @ SV168 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( v3_relat_1 @ SV269 )
| ! [SY801: $i] :
( ~ ( r2_hidden @ SY801 @ SV168 )
| ( v1_xboole_0 @ ( k1_funct_1 @ SV269 @ SY801 ) ) ) )
| ~ ( ~ ! [SY802: $i] :
( ~ ( r2_hidden @ SY802 @ SV168 )
| ( v1_xboole_0 @ ( k1_funct_1 @ SV269 @ SY802 ) ) )
| ( v3_relat_1 @ SV269 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7103]) ).
thf(7258,plain,
! [SV39: $i,SV176: $i] :
( ( ( m1_subset_1 @ SV176 @ SV39 )
= $false )
| ( ( ! [SY675: $i,SY676: $i] :
( ( ( g2_struct_0 @ SV39 @ SV176 )
!= ( g2_struct_0 @ SY675 @ SY676 ) )
| ~ ( ( SV39 != SY675 )
| ( SV176 != SY676 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7107]) ).
thf(7259,plain,
! [SV40: $i,SV177: $i] :
( ( ( v3_ordinal1 @ SV177 )
= $false )
| ( ( ~ ( r2_hidden @ SV40 @ SV177 )
| ( v3_ordinal1 @ SV40 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7108]) ).
thf(7260,plain,
! [SV41: $i,SV178: $i] :
( ( ( m1_pboole @ SV178 @ SV41 )
= $false )
| ( ( ! [SY677: $i] :
( ~ ( m4_pboole @ SY677 @ SV41 @ SV178 )
| ( m1_pboole @ SY677 @ SV41 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7109]) ).
thf(7261,plain,
! [SV42: $i,SV179: $i] :
( ( ( m1_pboole @ SV179 @ SV42 )
= $false )
| ( ( ~ ! [SY678: $i] :
~ ( m4_pboole @ SY678 @ SV42 @ SV179 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7110]) ).
thf(7262,plain,
( ( ~ ~ ( v1_xboole_0 @ sK2_SX0 )
| ~ ( v1_setfam_1 @ sK2_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[7111]) ).
thf(7263,plain,
! [SV180: $i,SV43: $i,SV270: $i] :
( ( ~ ( ( SV270
!= ( k3_xboole_0 @ SV43 @ SV180 ) )
| ! [SY803: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY803 @ SV270 )
| ~ ( ~ ( r2_hidden @ SY803 @ SV43 )
| ~ ( r2_hidden @ SY803 @ SV180 ) ) )
| ~ ( ~ ~ ( ~ ( r2_hidden @ SY803 @ SV43 )
| ~ ( r2_hidden @ SY803 @ SV180 ) )
| ( r2_hidden @ SY803 @ SV270 ) ) ) )
| ~ ( ~ ! [SY804: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY804 @ SV270 )
| ~ ( ~ ( r2_hidden @ SY804 @ SV43 )
| ~ ( r2_hidden @ SY804 @ SV180 ) ) )
| ~ ( ~ ~ ( ~ ( r2_hidden @ SY804 @ SV43 )
| ~ ( r2_hidden @ SY804 @ SV180 ) )
| ( r2_hidden @ SY804 @ SV270 ) ) )
| ( SV270
= ( k3_xboole_0 @ SV43 @ SV180 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[7112]) ).
thf(7264,plain,
! [SV271: $i,SV44: $i,SV181: $i] :
( ( ( ~ ~ ( ~ ( m1_pboole @ SV181 @ SV44 )
| ~ ( m1_pboole @ SV271 @ SV44 ) ) )
= $true )
| ( ( m1_pboole @ ( k11_pboole @ SV44 @ SV181 @ SV271 ) @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7113]) ).
thf(7265,plain,
! [SV46: $i] :
( ( m1_subset_1 @ ( sK12_SY438 @ SV46 ) @ SV46 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7115]) ).
thf(7266,plain,
! [SV182: $i,SV47: $i] :
( ( ( ( k2_xboole_0 @ SV47 @ SV182 )
= k1_xboole_0 )
= $false )
| ( ( SV47 = k1_xboole_0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7116]) ).
thf(7267,plain,
! [SV272: $i,SV48: $i,SV183: $i] :
( ( ( ~ ~ ( ~ ( m1_pboole @ SV183 @ SV48 )
| ~ ( m1_pboole @ SV272 @ SV48 ) ) )
= $true )
| ( ( ( k2_pboole @ SV48 @ SV183 @ SV272 )
= ( k2_pboole @ SV48 @ SV272 @ SV183 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7117]) ).
thf(7268,plain,
! [SV49: $i] :
( ( ~ ( v2_ordinal1 @ SV49 )
| ! [SY442: $i,SY443: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ SY442 @ SV49 )
| ~ ( r2_hidden @ SY443 @ SV49 ) )
| ~ ~ ( r2_hidden @ SY442 @ SY443 ) )
| ~ ( ( SY442 != SY443 ) ) )
| ~ ~ ( r2_hidden @ SY443 @ SY442 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7118]) ).
thf(7269,plain,
! [SV49: $i] :
( ( ~ ! [SY444: $i,SY445: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ SY444 @ SV49 )
| ~ ( r2_hidden @ SY445 @ SV49 ) )
| ~ ~ ( r2_hidden @ SY444 @ SY445 ) )
| ~ ( ( SY444 != SY445 ) ) )
| ~ ~ ( r2_hidden @ SY445 @ SY444 ) )
| ( v2_ordinal1 @ SV49 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7119]) ).
thf(7270,plain,
! [SV312: $i,SV273: $i,SV184: $i,SV50: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ SV50 @ SV184 )
| ~ ( r2_hidden @ SV184 @ SV273 ) )
| ~ ( r2_hidden @ SV273 @ SV312 ) )
| ~ ( r2_hidden @ SV312 @ SV50 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[7120]) ).
thf(7271,plain,
! [SV274: $i,SV52: $i,SV185: $i] :
( ( ( ~ ~ ( ~ ( m1_pboole @ SV185 @ SV52 )
| ~ ( m1_pboole @ SV274 @ SV52 ) ) )
= $true )
| ( ( ! [SY806: $i] :
( ~ ( m3_pboole @ SY806 @ SV52 @ SV185 @ SV274 )
| ( m1_pboole @ SY806 @ SV52 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7122]) ).
thf(7272,plain,
! [SV53: $i] :
( ( ( SV53 = k1_xboole_0 )
= $true )
| ( ( ( k1_funct_2 @ SV53 @ k1_xboole_0 )
= k1_xboole_0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7123]) ).
thf(7273,plain,
! [SV54: $i,SV186: $i] :
( ( ( m1_subset_1 @ SV186 @ SV54 )
= $false )
| ( ( ~ ! [SY688: $i] :
~ ( m3_realset1 @ SY688 @ SV54 @ SV186 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7124]) ).
thf(7274,plain,
! [SV55: $i] :
( ( ( v1_xboole_0 @ SV55 )
= $true )
| ( ( ~ ! [SY454: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY454 @ ( k1_zfmisc_1 @ SV55 ) )
| ~ ~ ( v1_xboole_0 @ SY454 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7125]) ).
thf(7275,plain,
! [SV187: $i,SV57: $i] :
( ( ( ~ ( ~ ! [SY456: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY456 @ SV57 )
| ( p1_s3_xboole_0 @ SY456 ) )
| ~ ( ~ ( p1_s3_xboole_0 @ SY456 )
| ( r2_hidden @ SY456 @ SV57 ) ) )
| ~ ! [SY690: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY690 @ SV187 )
| ( p1_s3_xboole_0 @ SY690 ) )
| ~ ( ~ ( p1_s3_xboole_0 @ SY690 )
| ( r2_hidden @ SY690 @ SV187 ) ) ) ) )
= $false )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7127]) ).
thf(7276,plain,
! [SV188: $i,SV58: $i] :
( ( ( ~ ( ~ ~ ( v1_xboole_0 @ SV58 )
| ~ ~ ( v1_xboole_0 @ SV188 ) ) )
= $false )
| ( ( ~ ( r2_subset_1 @ SV58 @ SV58 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7128]) ).
thf(7277,plain,
! [SV59: $i] :
( ( ( v1_xboole_0 @ SV59 )
= $true )
| ( ( ! [SY459: $i] :
( ~ ( m1_pboole @ SY459 @ SV59 )
| ! [SY460: $i] :
~ ( ~ ( ( SY460
!= ( k1_closure3 @ SV59 @ SY459 ) )
| ( SY460
= ( a_2_0_closure3 @ SV59 @ SY459 ) ) )
| ~ ( ( SY460
!= ( a_2_0_closure3 @ SV59 @ SY459 ) )
| ( SY460
= ( k1_closure3 @ SV59 @ SY459 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7129]) ).
thf(7278,plain,
! [SV60: $i] :
( ( ~ ~ ( ~ ~ ( r1_xboole_0 @ SV60 @ SV60 )
| ( SV60 != k1_xboole_0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7130]) ).
thf(7279,plain,
! [SV60: $i] :
( ( ~ ~ ( ~ ( ( SV60 != k1_xboole_0 ) )
| ~ ( r1_xboole_0 @ SV60 @ SV60 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7131]) ).
thf(7280,plain,
! [SV275: $i,SV189: $i,SV61: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV61 )
| ~ ( v2_relat_1 @ SV189 ) )
| ~ ( m1_pboole @ SV189 @ SV61 ) )
| ~ ( m1_subset_1 @ SV275 @ SV61 ) ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k1_funct_1 @ SV189 @ SV275 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7132]) ).
thf(7281,plain,
! [SV276: $i,SV62: $i,SV190: $i] :
( ( ( ~ ~ ( ~ ( m1_pboole @ SV190 @ SV62 )
| ~ ( m1_pboole @ SV276 @ SV62 ) ) )
= $true )
| ( ( r2_pboole @ SV62 @ SV190 @ SV190 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7133]) ).
thf(7282,plain,
! [SV63: $i,SV191: $i] :
( ( ( m1_pboole @ SV191 @ SV63 )
= $false )
| ( ( ! [SY693: $i] :
( ~ ( r2_hidden @ SY693 @ SV63 )
| ( m1_subset_1 @ ( k1_funct_1 @ SV191 @ SY693 ) @ ( k2_relat_1 @ SV191 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7134]) ).
thf(7283,plain,
! [SV64: $i,SV313: $i] :
( ( ( ~ ( v3_ordinal1 @ SV313 )
| ~ ~ ( ~ ~ ( ~ ~ ( r2_hidden @ SV64 @ SV313 )
| ~ ( ( SV64 != SV313 ) ) )
| ~ ~ ( r2_hidden @ SV313 @ SV64 ) ) )
= $true )
| ( ( v3_ordinal1 @ SV64 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7135]) ).
thf(7284,plain,
! [SV65: $i,SV277: $i,SV192: $i] :
( ( ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV192 )
| ~ ( m1_pboole @ SV277 @ SV192 ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( r2_hidden @ SV65 @ ( a_2_0_closure3 @ SV192 @ SV277 ) )
| ~ ! [SY807: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY807 @ SV192 )
| ( SV65 != SY807 ) )
| ~ ( ( ( k1_funct_1 @ SV277 @ SY807 )
!= k1_xboole_0 ) ) ) )
| ~ ( ~ ~ ! [SY808: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY808 @ SV192 )
| ( SV65 != SY808 ) )
| ~ ( ( ( k1_funct_1 @ SV277 @ SY808 )
!= k1_xboole_0 ) ) )
| ( r2_hidden @ SV65 @ ( a_2_0_closure3 @ SV192 @ SV277 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7136]) ).
thf(7285,plain,
! [SV193: $i,SV66: $i] :
( ( ( ~ ( ~ ~ ( v1_xboole_0 @ SV66 )
| ~ ~ ( v1_xboole_0 @ SV193 ) ) )
= $false )
| ( ( ~ ( r1_subset_1 @ SV66 @ SV193 )
| ( r1_subset_1 @ SV193 @ SV66 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7137]) ).
thf(7286,plain,
! [SV67: $i] :
( ( ( v1_xboole_0 @ SV67 )
= $true )
| ( ( ( k6_relat_1 @ SV67 )
!= k1_xboole_0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7138]) ).
thf(7287,plain,
( ( ~ ~ ( v1_xboole_0 @ sK3_SX0 )
| ~ ( v1_relat_1 @ sK3_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[7139]) ).
thf(7288,plain,
! [SV314: $i,SV278: $i,SV194: $i,SV68: $i] :
( ( ( ( k2_zfmisc_1 @ SV68 @ SV194 )
!= ( k2_zfmisc_1 @ SV278 @ SV314 ) )
| ( SV68 = k1_xboole_0 )
| ( SV194 = k1_xboole_0 )
| ~ ( ( SV68 != SV278 )
| ( SV194 != SV314 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[7140]) ).
thf(7289,plain,
! [SV279: $i,SV69: $i,SV195: $i] :
( ( ( ~ ~ ( ~ ( m1_pboole @ SV195 @ SV69 )
| ~ ( m1_pboole @ SV279 @ SV69 ) ) )
= $true )
| ( ( m1_pboole @ ( k2_pboole @ SV69 @ SV195 @ SV279 ) @ SV69 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7141]) ).
thf(7290,plain,
! [SV70: $i] :
( ( ~ ( v1_xboole_0 @ SV70 )
| ( SV70 = k1_xboole_0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7142]) ).
thf(7291,plain,
! [SV70: $i] :
( ( ( SV70 != k1_xboole_0 )
| ( v1_xboole_0 @ SV70 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7143]) ).
thf(7292,plain,
! [SV196: $i,SV71: $i] :
( ( ( ~ ( v1_xboole_0 @ SV71 ) )
= $false )
| ( ( ~ ( v1_xboole_0 @ ( k2_xboole_0 @ SV71 @ SV196 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7144]) ).
thf(7293,plain,
! [SV280: $i,SV72: $i,SV197: $i] :
( ( ( ~ ~ ( ~ ( m1_pboole @ SV197 @ SV72 )
| ~ ( m1_pboole @ SV280 @ SV72 ) ) )
= $true )
| ( ( m1_pboole @ ( k4_pboole @ SV72 @ SV197 @ SV280 ) @ SV72 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7145]) ).
thf(7294,plain,
! [SV198: $i,SV73: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY482: $i] :
~ ~ ( ~ ( r2_hidden @ SY482 @ SV73 )
| ~ ! [SX3: $i,SX4: $i] :
( SY482
!= ( k4_tarski @ SX3 @ SX4 ) ) )
| ~ ! [SY704: $i] :
~ ~ ( ~ ( r2_hidden @ SY704 @ SV198 )
| ~ ! [SX3: $i,SX4: $i] :
( SY704
!= ( k4_tarski @ SX3 @ SX4 ) ) ) )
| ~ ! [SY707: $i,SY708: $i] :
~ ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 ) )
| ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 ) ) ) ) )
= $false )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7146]) ).
thf(7295,plain,
! [SV74: $i,SV199: $i] :
( ( ( m1_pboole @ SV199 @ SV74 )
= $false )
| ( ( ~ ! [SY709: $i] :
( ~ ( r2_hidden @ SY709 @ SV74 )
| ( ( k1_funct_1 @ SV199 @ SY709 )
= k1_xboole_0 ) )
| ( SV199
= ( k1_pboole @ SV74 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7147]) ).
thf(7296,plain,
! [SV75: $i] :
( ( ~ ( ~ ( m1_finseq_2 @ ( sK13_SY492 @ SV75 ) @ SV75 )
| ~ ~ ( v1_xboole_0 @ ( sK13_SY492 @ SV75 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7148]) ).
thf(7297,plain,
! [SV76: $i,SV200: $i] :
( ( ( m1_pboole @ SV200 @ SV76 )
= $false )
| ( ( ! [SY710: $i] :
( ~ ( m1_pboole @ SY710 @ SV76 )
| ~ ( ~ ( ~ ( r1_pboole @ SV76 @ SV200 @ SY710 )
| ! [SY711: $i] :
( ~ ( r2_hidden @ SY711 @ SV76 )
| ( r2_hidden @ ( k1_funct_1 @ SV200 @ SY711 ) @ ( k1_funct_1 @ SY710 @ SY711 ) ) ) )
| ~ ( ~ ! [SY712: $i] :
( ~ ( r2_hidden @ SY712 @ SV76 )
| ( r2_hidden @ ( k1_funct_1 @ SV200 @ SY712 ) @ ( k1_funct_1 @ SY710 @ SY712 ) ) )
| ( r1_pboole @ SV76 @ SV200 @ SY710 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7149]) ).
thf(7298,plain,
! [SV281: $i,SV77: $i,SV201: $i] :
( ( ( ~ ~ ( ~ ( m1_pboole @ SV201 @ SV77 )
| ~ ( m1_pboole @ SV281 @ SV77 ) ) )
= $true )
| ( ( ( k3_pboole @ SV77 @ SV201 @ SV201 )
= SV201 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7150]) ).
thf(7299,plain,
! [SV282: $i,SV78: $i,SV202: $i] :
( ( ( ~ ( r2_hidden @ SV202 @ SV78 ) )
= $true )
| ( ( ( k1_funct_1 @ ( k2_funcop_1 @ SV78 @ SV282 ) @ SV202 )
= SV282 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7151]) ).
thf(7300,plain,
! [SV283: $i,SV203: $i,SV79: $i] :
( ( ~ ( ~ ~ ( ~ ( r2_hidden @ SV79 @ SV203 )
| ~ ( m1_subset_1 @ SV203 @ ( k1_zfmisc_1 @ SV283 ) ) )
| ~ ( v1_xboole_0 @ SV283 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[7152]) ).
thf(7301,plain,
( ( ~ ~ ( v1_xboole_0 @ sK4_SX0 )
| ~ ( v1_finset_1 @ sK4_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[7153]) ).
thf(7302,plain,
! [SV315: $i,SV284: $i,SV204: $i,SV80: $i] :
( ( ! [SY825: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ SV80 @ SV204 )
| ~ ( r2_hidden @ SV204 @ SV284 ) )
| ~ ( r2_hidden @ SV284 @ SV315 ) )
| ~ ( r2_hidden @ SV315 @ SY825 ) )
| ~ ( r2_hidden @ SY825 @ SV80 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[7154]) ).
thf(7303,plain,
! [SV285: $i,SV81: $i,SV205: $i] :
( ( ( ~ ~ ( ~ ( m1_pboole @ SV205 @ SV81 )
| ~ ( m1_pboole @ SV285 @ SV81 ) ) )
= $true )
| ( ( ~ ( r5_pboole @ SV81 @ SV205 @ SV285 )
| ( r5_pboole @ SV81 @ SV285 @ SV205 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7155]) ).
thf(7304,plain,
! [SV206: $i,SV82: $i,SV286: $i] :
( ( ~ ( ( SV286
!= ( k2_xboole_0 @ SV82 @ SV206 ) )
| ! [SY812: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY812 @ SV286 )
| ( r2_hidden @ SY812 @ SV82 )
| ( r2_hidden @ SY812 @ SV206 ) )
| ~ ( ~ ( ( r2_hidden @ SY812 @ SV82 )
| ( r2_hidden @ SY812 @ SV206 ) )
| ( r2_hidden @ SY812 @ SV286 ) ) ) )
| ~ ( ~ ! [SY813: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY813 @ SV286 )
| ( r2_hidden @ SY813 @ SV82 )
| ( r2_hidden @ SY813 @ SV206 ) )
| ~ ( ~ ( ( r2_hidden @ SY813 @ SV82 )
| ( r2_hidden @ SY813 @ SV206 ) )
| ( r2_hidden @ SY813 @ SV286 ) ) )
| ( SV286
= ( k2_xboole_0 @ SV82 @ SV206 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[7156]) ).
thf(7305,plain,
! [SV316: $i,SV287: $i,SV207: $i,SV84: $i] :
( ( ! [SY826: $i,SY827: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ SV84 @ SV207 )
| ~ ( r2_hidden @ SV207 @ SV287 ) )
| ~ ( r2_hidden @ SV287 @ SV316 ) )
| ~ ( r2_hidden @ SV316 @ SY826 ) )
| ~ ( r2_hidden @ SY826 @ SY827 ) )
| ~ ( r2_hidden @ SY827 @ SV84 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[7158]) ).
thf(7306,plain,
! [SV208: $i,SV85: $i] :
( ( ~ ( ~ ~ ( v1_xboole_0 @ SV85 )
| ~ ( ~ ( ~ ( m1_subset_1 @ SV208 @ SV85 )
| ( r2_hidden @ SV208 @ SV85 ) )
| ~ ( ~ ( r2_hidden @ SV208 @ SV85 )
| ( m1_subset_1 @ SV208 @ SV85 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7159]) ).
thf(7307,plain,
! [SV208: $i,SV85: $i] :
( ( ~ ( ~ ( v1_xboole_0 @ SV85 )
| ~ ( ~ ( ~ ( m1_subset_1 @ SV208 @ SV85 )
| ( v1_xboole_0 @ SV208 ) )
| ~ ( ~ ( v1_xboole_0 @ SV208 )
| ( m1_subset_1 @ SV208 @ SV85 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7159]) ).
thf(7308,plain,
! [SV288: $i,SV86: $i,SV209: $i] :
( ( ( ~ ~ ( ~ ( m1_pboole @ SV209 @ SV86 )
| ~ ( m1_pboole @ SV288 @ SV86 ) ) )
= $true )
| ( ( ( k3_pboole @ SV86 @ SV209 @ SV288 )
= ( k3_pboole @ SV86 @ SV288 @ SV209 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7160]) ).
thf(7309,plain,
! [SV88: $i] :
( ( m1_pboole @ ( sK14_SY521 @ SV88 ) @ SV88 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7162]) ).
thf(7310,plain,
! [SV210: $i,SV89: $i] :
( ( ~ ( r2_hidden @ SV89 @ SV210 )
| ~ ( v1_xboole_0 @ SV210 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7163]) ).
thf(7311,plain,
! [SV90: $i,SV211: $i] :
( ( ( m1_pboole @ SV211 @ SV90 )
= $false )
| ( ( ! [SY728: $i] :
( ~ ( m1_pboole @ SY728 @ SV90 )
| ~ ! [SY729: $i] :
( ~ ( r2_hidden @ SY729 @ SV90 )
| ( ( k1_funct_1 @ SV211 @ SY729 )
= ( k1_funct_1 @ SY728 @ SY729 ) ) )
| ( SV211 = SY728 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7164]) ).
thf(7312,plain,
! [SV289: $i,SV212: $i,SV91: $i] :
( ( ( ~ ~ ( ~ ( r2_hidden @ SV91 @ SV212 )
| ~ ( m1_subset_1 @ SV212 @ ( k1_zfmisc_1 @ SV289 ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV91 @ SV289 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7165]) ).
thf(7313,plain,
! [SV290: $i,SV92: $i,SV213: $i] :
( ( ( ~ ~ ( ~ ( m1_pboole @ SV213 @ SV92 )
| ~ ( m1_pboole @ SV290 @ SV92 ) ) )
= $true )
| ( ( m1_pboole @ ( k12_pboole @ SV92 @ SV213 @ SV290 ) @ SV92 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7166]) ).
thf(7314,plain,
! [SV93: $i] :
( ( ~ ~ ( ~ ~ ( v1_realset1 @ SV93 )
| ~ ! [SY530: $i,SY531: $i] :
~ ~ ( ~ ~ ( ~ ( r2_hidden @ SY530 @ SV93 )
| ~ ( r2_hidden @ SY531 @ SV93 ) )
| ~ ( ( SY530 != SY531 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7167]) ).
thf(7315,plain,
! [SV93: $i] :
( ( ~ ~ ( ~ ~ ! [SY532: $i] :
~ ~ ! [SY533: $i] :
~ ~ ( ~ ~ ( ~ ( r2_hidden @ SY532 @ SV93 )
| ~ ( r2_hidden @ SY533 @ SV93 ) )
| ~ ( ( SY532 != SY533 ) ) )
| ~ ( v1_realset1 @ SV93 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7168]) ).
thf(7316,plain,
( ( ~ ~ ( v1_xboole_0 @ sK5_SX0 )
| ~ ~ ( v1_realset1 @ sK5_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[7169]) ).
thf(7317,plain,
! [SV214: $i,SV94: $i] :
( ( ( ( k2_zfmisc_1 @ SV94 @ SV214 )
= ( k2_zfmisc_1 @ SV214 @ SV94 ) )
= $false )
| ( ( ( SV94 = k1_xboole_0 )
| ( SV214 = k1_xboole_0 )
| ( SV94 = SV214 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7170]) ).
thf(7318,plain,
! [SV215: $i,SV95: $i] :
( ( ~ ( ~ ( r2_hidden @ SV95 @ ( k1_ordinal1 @ SV215 ) )
| ( r2_hidden @ SV95 @ SV215 )
| ( SV95 = SV215 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7171]) ).
thf(7319,plain,
! [SV215: $i,SV95: $i] :
( ( ~ ( ~ ( ( r2_hidden @ SV95 @ SV215 )
| ( SV95 = SV215 ) )
| ( r2_hidden @ SV95 @ ( k1_ordinal1 @ SV215 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7171]) ).
thf(7320,plain,
! [SV96: $i] :
( ( ( v2_setfam_1 @ SV96 )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV96 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7172]) ).
thf(7321,plain,
! [SV97: $i] :
( ( ~ ( ~ ( r2_hidden @ ( sK15_SY536 @ SV97 ) @ SV97 )
| ( v3_ordinal1 @ ( sK15_SY536 @ SV97 ) ) )
| ~ ( ~ ( v3_ordinal1 @ ( sK15_SY536 @ SV97 ) )
| ( r2_hidden @ ( sK15_SY536 @ SV97 ) @ SV97 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7173]) ).
thf(7322,plain,
! [SV98: $i,SV216: $i] :
( ( ( m1_pboole @ SV216 @ SV98 )
= $false )
| ( ( m1_pboole @ ( k1_mboolean @ SV98 @ SV216 ) @ SV98 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7174]) ).
thf(7323,plain,
! [SV217: $i,SV99: $i] :
( ( ( ~ ( ~ ~ ( v1_xboole_0 @ SV99 )
| ~ ~ ( v1_xboole_0 @ SV217 ) ) )
= $false )
| ( ( ~ ( r1_subset_1 @ SV99 @ SV99 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7175]) ).
thf(7324,plain,
! [SV291: $i,SV100: $i,SV218: $i] :
( ( ( ~ ~ ( ~ ( m1_pboole @ SV218 @ SV100 )
| ~ ( m1_pboole @ SV291 @ SV100 ) ) )
= $true )
| ( ( ~ ( r4_pboole @ SV100 @ SV218 @ SV291 )
| ( r4_pboole @ SV100 @ SV291 @ SV218 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7176]) ).
thf(7325,plain,
! [SV317: $i,SV292: $i,SV219: $i,SV101: $i] :
( ( ~ ( ( SV101 != SV219 ) )
| ~ ( ( ( k1_funct_1 @ ( k4_funct_4 @ SV101 @ SV219 @ SV292 @ SV317 ) @ SV101 )
!= SV292 )
| ( ( k1_funct_1 @ ( k4_funct_4 @ SV101 @ SV219 @ SV292 @ SV317 ) @ SV219 )
!= SV317 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[7177]) ).
thf(7326,plain,
! [SV102: $i,SV220: $i] :
( ( ( m1_pboole @ SV220 @ SV102 )
= $false )
| ( ( ! [SY735: $i] :
( ~ ( m2_pboole @ SY735 @ SV102 @ SV220 )
| ( m1_pboole @ SY735 @ SV102 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7178]) ).
thf(7327,plain,
! [SV221: $i,SV103: $i] :
( ( ~ ( r2_hidden @ SV103 @ SV221 )
| ~ ! [SY736: $i] :
~ ~ ( ~ ( r2_hidden @ SY736 @ SV221 )
| ~ ! [SY737: $i] :
~ ~ ( ~ ( r2_hidden @ SY737 @ SV221 )
| ~ ( r2_hidden @ SY737 @ SY736 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7179]) ).
thf(7328,plain,
! [SV222: $i,SV104: $i,SV293: $i] :
( ( ~ ( ( SV293
!= ( k4_xboole_0 @ SV104 @ SV222 ) )
| ! [SY818: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY818 @ SV293 )
| ~ ( ~ ( r2_hidden @ SY818 @ SV104 )
| ~ ~ ( r2_hidden @ SY818 @ SV222 ) ) )
| ~ ( ~ ~ ( ~ ( r2_hidden @ SY818 @ SV104 )
| ~ ~ ( r2_hidden @ SY818 @ SV222 ) )
| ( r2_hidden @ SY818 @ SV293 ) ) ) )
| ~ ( ~ ! [SY819: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY819 @ SV293 )
| ~ ( ~ ( r2_hidden @ SY819 @ SV104 )
| ~ ~ ( r2_hidden @ SY819 @ SV222 ) ) )
| ~ ( ~ ~ ( ~ ( r2_hidden @ SY819 @ SV104 )
| ~ ~ ( r2_hidden @ SY819 @ SV222 ) )
| ( r2_hidden @ SY819 @ SV293 ) ) )
| ( SV293
= ( k4_xboole_0 @ SV104 @ SV222 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[7180]) ).
thf(7329,plain,
! [SV223: $i,SV105: $i] :
( ( ( ~ ( ~ ~ ( v1_xboole_0 @ SV105 )
| ~ ~ ( v1_xboole_0 @ SV223 ) ) )
= $false )
| ( ( ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ SV105 @ SV223 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7181]) ).
thf(7330,plain,
! [SV294: $i,SV106: $i,SV224: $i] :
( ( ( ~ ~ ( ~ ( m1_pboole @ SV224 @ SV106 )
| ~ ( m1_pboole @ SV294 @ SV106 ) ) )
= $true )
| ( ( m1_pboole @ ( k3_pboole @ SV106 @ SV224 @ SV294 ) @ SV106 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7182]) ).
thf(7331,plain,
! [SV295: $i,SV107: $i,SV225: $i] :
( ( ( ~ ~ ( ~ ( m1_pboole @ SV225 @ SV107 )
| ~ ( m1_pboole @ SV295 @ SV107 ) ) )
= $true )
| ( ( ( k5_pboole @ SV107 @ SV225 @ SV295 )
= ( k5_pboole @ SV107 @ SV295 @ SV225 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7185]) ).
thf(7332,plain,
! [SV226: $i,SV108: $i] :
( ( ~ ~ ( ~ ( v1_xboole_0 @ SV108 )
| ~ ( ( SV108 != SV226 ) ) )
| ~ ( v1_xboole_0 @ SV226 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7186]) ).
thf(7333,plain,
! [SV109: $i,SV227: $i] :
( ( ( m1_pboole @ SV227 @ SV109 )
= $false )
| ( ( m1_pboole @ ( k2_mboolean @ SV109 @ SV227 ) @ SV109 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7187]) ).
thf(7334,plain,
! [SV296: $i,SV228: $i,SV110: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV110 )
| ~ ( m1_pboole @ SV228 @ SV110 ) )
| ~ ( m1_pboole @ SV296 @ SV110 ) ) )
= $true )
| ( ( ~ ( r3_pboole @ SV110 @ SV228 @ SV296 )
| ~ ( r3_pboole @ SV110 @ SV296 @ SV228 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7188]) ).
thf(7335,plain,
! [SV229: $i,SV112: $i] :
( ( ( m1_subset_1 @ SV112 @ SV229 )
= $false )
| ( ( ( v1_xboole_0 @ SV229 )
| ( r2_hidden @ SV112 @ SV229 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7190]) ).
thf(7336,plain,
! [SV113: $i] :
( ( ~ ( ~ ( m1_subset_1 @ ( sK16_SY563 @ SV113 ) @ ( k1_zfmisc_1 @ SV113 ) )
| ~ ( v1_xboole_0 @ ( sK16_SY563 @ SV113 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7191]) ).
thf(7337,plain,
! [SV114: $i,SV230: $i] :
( ( ( m1_subset_1 @ SV230 @ ( k1_zfmisc_1 @ SV114 ) )
= $false )
| ( ( ~ ~ ( ~ ( ( SV230 != k1_xboole_0 ) )
| ~ ! [SY744: $i] :
( ~ ( m1_subset_1 @ SY744 @ SV114 )
| ~ ( r2_hidden @ SY744 @ SV230 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7192]) ).
thf(7338,plain,
( ( v1_xboole_0 @ sK6_SX0 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[7193]) ).
thf(7339,plain,
! [SV115: $i] :
( ( ( SV115 != k1_xboole_0 )
| ! [SY566: $i] :
~ ( r2_hidden @ SY566 @ SV115 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7194]) ).
thf(7340,plain,
! [SV115: $i] :
( ( ~ ! [SY567: $i] :
~ ( r2_hidden @ SY567 @ SV115 )
| ( SV115 = k1_xboole_0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7195]) ).
thf(7341,plain,
( ( ~ ( v1_xboole_0 @ sK7_SX0 )
| ~ ( v1_relat_1 @ sK7_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[7196]) ).
thf(7342,plain,
! [SV116: $i,SV231: $i] :
( ( ( m1_pboole @ SV231 @ SV116 )
= $false )
| ( ( ! [SY745: $i] :
( ~ ( m1_pboole @ SY745 @ SV116 )
| ~ ( ~ ( ~ ( m2_pboole @ SY745 @ SV116 @ SV231 )
| ! [SY746: $i] :
( ~ ( r2_hidden @ SY746 @ SV116 )
| ( m1_subset_1 @ ( k1_funct_1 @ SY745 @ SY746 ) @ ( k1_funct_1 @ SV231 @ SY746 ) ) ) )
| ~ ( ~ ! [SY747: $i] :
( ~ ( r2_hidden @ SY747 @ SV116 )
| ( m1_subset_1 @ ( k1_funct_1 @ SY745 @ SY747 ) @ ( k1_funct_1 @ SV231 @ SY747 ) ) )
| ( m2_pboole @ SY745 @ SV116 @ SV231 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7197]) ).
thf(7343,plain,
! [SV117: $i,SV232: $i] :
( ( ( m1_pboole @ SV232 @ SV117 )
= $false )
| ( ( ! [SY748: $i] :
( ~ ( m1_pboole @ SY748 @ SV117 )
| ! [SY749: $i] :
( ~ ( m1_pboole @ SY749 @ SV117 )
| ~ ~ ( ~ ( r2_pboole @ SV117 @ SV232 @ SY748 )
| ~ ( r2_pboole @ SV117 @ SY748 @ SY749 ) )
| ( r2_pboole @ SV117 @ SV232 @ SY749 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7198]) ).
thf(7344,plain,
! [SV233: $i,SV119: $i] :
( ( ~ ( ~ ( r1_tarski @ SV119 @ SV233 )
| ! [SY750: $i] :
( ~ ( r2_hidden @ SY750 @ SV119 )
| ( r2_hidden @ SY750 @ SV233 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7200]) ).
thf(7345,plain,
! [SV233: $i,SV119: $i] :
( ( ~ ( ~ ! [SY751: $i] :
( ~ ( r2_hidden @ SY751 @ SV119 )
| ( r2_hidden @ SY751 @ SV233 ) )
| ( r1_tarski @ SV119 @ SV233 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7200]) ).
thf(7346,plain,
! [SV120: $i] :
( ( ( v1_xboole_0 @ SV120 )
= $true )
| ( ( ! [SY578: $i] :
( ~ ( m1_pboole @ SY578 @ SV120 )
| ! [SY579: $i] :
( ~ ( m1_pboole @ SY579 @ SV120 )
| ( ( k1_funct_4 @ SY578 @ SY579 )
= SY579 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7201]) ).
thf(7347,plain,
! [SV121: $i] :
( ( ~ ( r2_wellord2 @ SV121 @ k1_xboole_0 )
| ( SV121 = k1_xboole_0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7202]) ).
thf(7348,plain,
! [SV121: $i] :
( ( ( SV121 != k1_xboole_0 )
| ( r2_wellord2 @ SV121 @ k1_xboole_0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7203]) ).
thf(7349,plain,
! [SV122: $i] :
( ( ( v1_xboole_0 @ SV122 )
= $true )
| ( ( ! [SY580: $i] :
( ~ ( m1_pboole @ SY580 @ SV122 )
| ! [SY581: $i] :
( ~ ( m1_subset_1 @ SY581 @ ( k2_relat_1 @ SY580 ) )
| ~ ! [SY582: $i] :
~ ~ ( ~ ( r2_hidden @ SY582 @ SV122 )
| ( SY581
!= ( k1_funct_1 @ SY580 @ SY582 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7204]) ).
thf(7350,plain,
! [SV297: $i,SV234: $i,SV123: $i] :
( ( ~ ( ~ ~ ( ~ ( r2_hidden @ SV123 @ SV234 )
| ~ ( r2_hidden @ SV234 @ SV297 ) )
| ~ ( r2_hidden @ SV297 @ SV123 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[7205]) ).
thf(7351,plain,
! [SV124: $i,SV235: $i] :
( ( ( m1_subset_1 @ SV235 @ ( k1_zfmisc_1 @ SV124 ) )
= $false )
| ( ( ~ ! [SY753: $i] :
( ~ ( m1_subset_1 @ SY753 @ SV124 )
| ( r2_hidden @ SY753 @ SV235 ) )
| ( SV124 = SV235 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7206]) ).
thf(7352,plain,
! [SV298: $i,SV125: $i,SV236: $i] :
( ( ( ~ ~ ( ~ ( m1_pboole @ SV236 @ SV125 )
| ~ ( m1_pboole @ SV298 @ SV125 ) ) )
= $true )
| ( ( r7_pboole @ SV125 @ SV236 @ SV236 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7207]) ).
thf(7353,plain,
! [SV127: $i,SV237: $i] :
( ( ( ~ ( v1_xboole_0 @ SV237 ) )
= $false )
| ( ( ~ ( v1_xboole_0 @ ( k1_funct_2 @ SV127 @ SV237 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7209]) ).
thf(7354,plain,
( ( ~ ~ ( v1_xboole_0 @ sK8_SX0 )
| ~ ( v1_fraenkel @ sK8_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[7210]) ).
thf(7355,plain,
! [SV238: $i,SV128: $i] :
( ( ~ ( r2_hidden @ SV128 @ SV238 )
| ~ ( r1_tarski @ SV238 @ SV128 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7211]) ).
thf(7356,plain,
! [SV129: $i,SV239: $i] :
( ( ( m1_subset_1 @ SV239 @ ( k1_zfmisc_1 @ SV129 ) )
= $false )
| ( ( ! [SY755: $i] :
( ~ ( m1_subset_1 @ SY755 @ ( k1_zfmisc_1 @ SV129 ) )
| ~ ! [SY756: $i] :
( ~ ( m1_subset_1 @ SY756 @ SV129 )
| ~ ( ~ ( ~ ( r2_hidden @ SY756 @ SV239 )
| ( r2_hidden @ SY756 @ SY755 ) )
| ~ ( ~ ( r2_hidden @ SY756 @ SY755 )
| ( r2_hidden @ SY756 @ SV239 ) ) ) )
| ( SV239 = SY755 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7212]) ).
thf(7357,plain,
! [SV130: $i] :
( ( ( v1_realset1 @ SV130 )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV130 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7214]) ).
thf(7358,plain,
! [SV131: $i,SV240: $i] :
( ( ( r2_hidden @ SV240 @ SV131 )
= $false )
| ( ( ( k1_funct_1 @ ( k6_relat_1 @ SV131 ) @ SV240 )
= SV240 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7215]) ).
thf(7359,plain,
! [SV132: $i,SV241: $i] :
( ( ( m1_pboole @ SV241 @ SV132 )
= $false )
| ( ( ~ ! [SY757: $i] :
~ ( m2_pboole @ SY757 @ SV132 @ SV241 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7216]) ).
thf(7360,plain,
! [SV242: $i,SV133: $i] :
( ( ~ ~ ( ~ ( ( SV133
!= ( k1_tarski @ SV242 ) ) )
| ~ ( ( SV133 != k1_xboole_0 ) ) )
| ~ ! [SY758: $i] :
~ ~ ( ~ ( r2_hidden @ SY758 @ SV133 )
| ~ ( ( SY758 != SV242 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7217]) ).
thf(7361,plain,
! [SV299: $i,SV243: $i,SV134: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV134 )
| ~ ~ ( v1_xboole_0 @ SV243 ) )
| ~ ~ ( v1_xboole_0 @ SV299 ) ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k3_zfmisc_1 @ SV134 @ SV243 @ SV299 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7218]) ).
thf(7362,plain,
! [SV244: $i,SV135: $i] :
( ( ( ! [SY760: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY760 @ SV135 )
| ( r2_hidden @ SY760 @ SV244 ) )
| ~ ( ~ ( r2_hidden @ SY760 @ SV244 )
| ( r2_hidden @ SY760 @ SV135 ) ) ) )
= $false )
| ( ( SV135 = SV244 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7219]) ).
thf(7363,plain,
! [SV136: $i,SV245: $i] :
( ( ( m1_subset_1 @ SV245 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV136 ) ) )
= $false )
| ( ( ! [SY761: $i] :
( ~ ( m1_subset_1 @ SY761 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV136 ) ) )
| ~ ! [SY762: $i] :
( ~ ( m1_subset_1 @ SY762 @ ( k1_zfmisc_1 @ SV136 ) )
| ~ ( ~ ( ~ ( r2_hidden @ SY762 @ SV245 )
| ( r2_hidden @ SY762 @ SY761 ) )
| ~ ( ~ ( r2_hidden @ SY762 @ SY761 )
| ( r2_hidden @ SY762 @ SV245 ) ) ) )
| ( SV245 = SY761 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7220]) ).
thf(7364,plain,
! [SV300: $i,SV137: $i,SV246: $i] :
( ( ( ~ ~ ( ~ ( m1_pboole @ SV246 @ SV137 )
| ~ ( m1_pboole @ SV300 @ SV137 ) ) )
= $true )
| ( ( r6_pboole @ SV137 @ SV246 @ SV246 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7221]) ).
thf(7365,plain,
! [SV247: $i,SV138: $i] :
( ( ( ~ ( ~ ~ ( v1_xboole_0 @ SV138 )
| ~ ~ ( v1_xboole_0 @ SV247 ) ) )
= $false )
| ( ( ~ ( r2_subset_1 @ SV138 @ SV247 )
| ( r2_subset_1 @ SV247 @ SV138 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7222]) ).
thf(7366,plain,
( ( ~ ~ ( v1_xboole_0 @ sK10_SX0 )
| ~ ( v1_realset1 @ sK10_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[7223]) ).
thf(7367,plain,
! [SV139: $i,SV248: $i] :
( ( ( m1_pboole @ SV248 @ SV139 )
= $false )
| ( ( ~ ( ~ ( ~ ( v2_relat_1 @ SV248 )
| ! [SY764: $i] :
~ ~ ( ~ ( r2_hidden @ SY764 @ SV139 )
| ~ ( v1_xboole_0 @ ( k1_funct_1 @ SV248 @ SY764 ) ) ) )
| ~ ( ~ ! [SY765: $i] :
~ ~ ( ~ ( r2_hidden @ SY765 @ SV139 )
| ~ ( v1_xboole_0 @ ( k1_funct_1 @ SV248 @ SY765 ) ) )
| ( v2_relat_1 @ SV248 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7224]) ).
thf(7368,plain,
! [SV249: $i,SV140: $i,SV301: $i] :
( ( ~ ( ( SV301
!= ( k2_tarski @ SV140 @ SV249 ) )
| ! [SY820: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY820 @ SV301 )
| ( SY820 = SV140 )
| ( SY820 = SV249 ) )
| ~ ( ~ ( ( SY820 = SV140 )
| ( SY820 = SV249 ) )
| ( r2_hidden @ SY820 @ SV301 ) ) ) )
| ~ ( ~ ! [SY821: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY821 @ SV301 )
| ( SY821 = SV140 )
| ( SY821 = SV249 ) )
| ~ ( ~ ( ( SY821 = SV140 )
| ( SY821 = SV249 ) )
| ( r2_hidden @ SY821 @ SV301 ) ) )
| ( SV301
= ( k2_tarski @ SV140 @ SV249 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[7225]) ).
thf(7369,plain,
! [SV302: $i,SV250: $i,SV141: $i] :
( ( ~ ( ~ ( r2_hidden @ SV141 @ ( k5_xboole_0 @ SV250 @ SV302 ) )
| ~ ~ ( ~ ( ~ ( r2_hidden @ SV141 @ SV250 )
| ( r2_hidden @ SV141 @ SV302 ) )
| ~ ( ~ ( r2_hidden @ SV141 @ SV302 )
| ( r2_hidden @ SV141 @ SV250 ) ) ) )
| ~ ( ~ ~ ~ ( ~ ( ~ ( r2_hidden @ SV141 @ SV250 )
| ( r2_hidden @ SV141 @ SV302 ) )
| ~ ( ~ ( r2_hidden @ SV141 @ SV302 )
| ( r2_hidden @ SV141 @ SV250 ) ) )
| ( r2_hidden @ SV141 @ ( k5_xboole_0 @ SV250 @ SV302 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[7226]) ).
thf(7370,plain,
! [SV251: $i,SV142: $i] :
( ( ( r2_hidden @ SV142 @ SV251 )
= $false )
| ( ( ~ ( r2_hidden @ SV251 @ SV142 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7227]) ).
thf(7371,plain,
! [SV303: $i,SV143: $i,SV252: $i] :
( ( ( ~ ~ ( ~ ( m1_pboole @ SV252 @ SV143 )
| ~ ( m1_pboole @ SV303 @ SV143 ) ) )
= $true )
| ( ( m1_pboole @ ( k5_pboole @ SV143 @ SV252 @ SV303 ) @ SV143 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7228]) ).
thf(7372,plain,
! [SV144: $i,SV253: $i] :
( ( ( m1_pboole @ SV253 @ SV144 )
= $false )
| ( ( ! [SY771: $i] :
( ~ ( m1_pboole @ SY771 @ SV144 )
| ! [SY772: $i] :
( ~ ( m1_pboole @ SY772 @ SV144 )
| ~ ~ ( ~ ( r7_pboole @ SV144 @ SV253 @ SY771 )
| ~ ( r7_pboole @ SV144 @ SY771 @ SY772 ) )
| ( r7_pboole @ SV144 @ SV253 @ SY772 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7229]) ).
thf(7373,plain,
! [SV304: $i,SV145: $i,SV254: $i] :
( ( ( ~ ~ ( ~ ( m1_pboole @ SV254 @ SV145 )
| ~ ( m1_pboole @ SV304 @ SV145 ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( r6_pboole @ SV145 @ SV254 @ SV304 )
| ( SV254 = SV304 ) )
| ~ ( ( SV254 != SV304 )
| ( r6_pboole @ SV145 @ SV254 @ SV304 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7230]) ).
thf(7374,plain,
! [SV146: $i] :
( ( ( v2_setfam_1 @ SV146 )
= $true )
| ( ( ~ ! [SY626: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY626 @ SV146 )
| ~ ~ ( v1_xboole_0 @ SY626 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7231]) ).
thf(7375,plain,
! [SV255: $i,SV147: $i] :
( ( ( r2_hidden @ SV147 @ SV255 )
= $false )
| ( ( m1_subset_1 @ SV147 @ SV255 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7232]) ).
thf(7376,plain,
! [SV256: $i,SV148: $i] :
( ( ~ ( ~ ( ( SV148 != k1_xboole_0 ) )
| ~ ( ~ ( ( SV256
!= ( k1_setfam_1 @ SV148 ) )
| ! [SY774: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY774 @ SV256 )
| ! [SY630: $i] :
( ~ ( r2_hidden @ SY630 @ SV148 )
| ( r2_hidden @ SY774 @ SY630 ) ) )
| ~ ( ~ ! [SY631: $i] :
( ~ ( r2_hidden @ SY631 @ SV148 )
| ( r2_hidden @ SY774 @ SY631 ) )
| ( r2_hidden @ SY774 @ SV256 ) ) ) )
| ~ ( ~ ! [SY777: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY777 @ SV256 )
| ! [SY633: $i] :
( ~ ( r2_hidden @ SY633 @ SV148 )
| ( r2_hidden @ SY777 @ SY633 ) ) )
| ~ ( ~ ! [SY634: $i] :
( ~ ( r2_hidden @ SY634 @ SV148 )
| ( r2_hidden @ SY777 @ SY634 ) )
| ( r2_hidden @ SY777 @ SV256 ) ) )
| ( SV256
= ( k1_setfam_1 @ SV148 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7233]) ).
thf(7377,plain,
! [SV256: $i,SV148: $i] :
( ( ~ ( ( SV148 != k1_xboole_0 )
| ~ ( ~ ( ( SV256
!= ( k1_setfam_1 @ SV148 ) )
| ( SV256 = k1_xboole_0 ) )
| ~ ( ( SV256 != k1_xboole_0 )
| ( SV256
= ( k1_setfam_1 @ SV148 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7233]) ).
thf(7378,plain,
! [SV149: $i,SV257: $i] :
( ( ~ ( ( SV257
!= ( k1_tarski @ SV149 ) )
| ! [SY780: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY780 @ SV257 )
| ( SY780 = SV149 ) )
| ~ ( ( SY780 != SV149 )
| ( r2_hidden @ SY780 @ SV257 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7234]) ).
thf(7379,plain,
! [SV149: $i,SV257: $i] :
( ( ~ ( ~ ! [SY781: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY781 @ SV257 )
| ( SY781 = SV149 ) )
| ~ ( ( SY781 != SV149 )
| ( r2_hidden @ SY781 @ SV257 ) ) )
| ( SV257
= ( k1_tarski @ SV149 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7234]) ).
thf(7380,plain,
! [SV258: $i,SV150: $i] :
( ( ~ ~ ~ ( ~ ~ ( r1_xboole_0 @ SV150 @ SV258 )
| ~ ! [SY782: $i] :
~ ~ ( ~ ( r2_hidden @ SY782 @ SV150 )
| ~ ( r2_hidden @ SY782 @ SV258 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7235]) ).
thf(7381,plain,
! [SV258: $i,SV150: $i] :
( ( ~ ~ ~ ( ~ ~ ! [SY783: $i] :
~ ~ ( ~ ( r2_hidden @ SY783 @ SV150 )
| ~ ( r2_hidden @ SY783 @ SV258 ) )
| ~ ( r1_xboole_0 @ SV150 @ SV258 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7235]) ).
thf(7382,plain,
! [SV151: $i,SV259: $i] :
( ( ~ ( ( SV259
!= ( k3_tarski @ SV151 ) )
| ! [SY784: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY784 @ SV259 )
| ~ ! [SY643: $i] :
~ ~ ( ~ ( r2_hidden @ SY784 @ SY643 )
| ~ ( r2_hidden @ SY643 @ SV151 ) ) )
| ~ ( ~ ~ ! [SY644: $i] :
~ ~ ( ~ ( r2_hidden @ SY784 @ SY644 )
| ~ ( r2_hidden @ SY644 @ SV151 ) )
| ( r2_hidden @ SY784 @ SV259 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7236]) ).
thf(7383,plain,
! [SV151: $i,SV259: $i] :
( ( ~ ( ~ ! [SY787: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY787 @ SV259 )
| ~ ! [SY646: $i] :
~ ~ ( ~ ( r2_hidden @ SY787 @ SY646 )
| ~ ( r2_hidden @ SY646 @ SV151 ) ) )
| ~ ( ~ ~ ! [SY647: $i] :
~ ~ ( ~ ( r2_hidden @ SY787 @ SY647 )
| ~ ( r2_hidden @ SY647 @ SV151 ) )
| ( r2_hidden @ SY787 @ SV259 ) ) )
| ( SV259
= ( k3_tarski @ SV151 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7236]) ).
thf(7384,plain,
! [SV260: $i,SV152: $i] :
( ( ( ~ ( v1_xboole_0 @ SV152 ) )
= $false )
| ( ( ~ ( v1_xboole_0 @ ( k2_xboole_0 @ SV260 @ SV152 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7237]) ).
thf(7385,plain,
! [SV305: $i,SV153: $i,SV261: $i] :
( ( ( ~ ~ ( ~ ( m1_pboole @ SV261 @ SV153 )
| ~ ( m1_pboole @ SV305 @ SV153 ) ) )
= $true )
| ( ( ( k2_pboole @ SV153 @ SV261 @ SV261 )
= SV261 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7238]) ).
thf(7386,plain,
! [SV154: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ SV154 )
| ~ ( v1_setfam_1 @ SV154 ) )
= $true )
| ( ( ! [SY651: $i] :
( ~ ( m1_subset_1 @ SY651 @ SV154 )
| ~ ( v1_xboole_0 @ SY651 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7239]) ).
thf(7387,plain,
! [SV156: $i] :
( ( ~ ( v3_ordinal1 @ ( sK17_SY652 @ SV156 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7241]) ).
thf(7388,plain,
! [SV156: $i] :
( ( r2_hidden @ ( sK17_SY652 @ SV156 ) @ SV156 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7241]) ).
thf(7389,plain,
! [SV157: $i] :
( ( ( SV157 = k1_xboole_0 )
= $true )
| ( ( r2_xboole_0 @ k1_xboole_0 @ SV157 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7242]) ).
thf(7390,plain,
! [SV158: $i] :
( ( ~ ( v2_setfam_1 @ SV158 )
| ! [SY653: $i] :
( ~ ~ ( v1_xboole_0 @ SY653 )
| ~ ( r2_hidden @ SY653 @ SV158 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7243]) ).
thf(7391,plain,
! [SV158: $i] :
( ( ~ ! [SY654: $i] :
( ~ ~ ( v1_xboole_0 @ SY654 )
| ~ ( r2_hidden @ SY654 @ SV158 ) )
| ( v2_setfam_1 @ SV158 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7244]) ).
thf(7392,plain,
! [SV262: $i,SV159: $i] :
( ( ~ ( ( ( k2_zfmisc_1 @ SV159 @ SV262 )
!= k1_xboole_0 )
| ( SV159 = k1_xboole_0 )
| ( SV262 = k1_xboole_0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7245]) ).
thf(7393,plain,
! [SV262: $i,SV159: $i] :
( ( ~ ( ~ ( ( SV159 = k1_xboole_0 )
| ( SV262 = k1_xboole_0 ) )
| ( ( k2_zfmisc_1 @ SV159 @ SV262 )
= k1_xboole_0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7245]) ).
thf(7394,plain,
! [SV160: $i] :
( ( ~ ( v1_setfam_1 @ SV160 )
| ~ ( r2_hidden @ k1_xboole_0 @ SV160 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7246]) ).
thf(7395,plain,
! [SV160: $i] :
( ( ~ ~ ( r2_hidden @ k1_xboole_0 @ SV160 )
| ( v1_setfam_1 @ SV160 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7247]) ).
thf(7396,plain,
! [SV306: $i,SV161: $i,SV263: $i] :
( ( ( ~ ~ ( ~ ( m1_pboole @ SV263 @ SV161 )
| ~ ( m1_pboole @ SV306 @ SV161 ) ) )
= $true )
| ( ( ~ ! [SY822: $i] :
~ ( m3_pboole @ SY822 @ SV161 @ SV263 @ SV306 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7248]) ).
thf(7397,plain,
! [SV162: $i,SV264: $i,SV307: $i] :
( ( ( ~ ( m2_relset_1 @ SV307 @ SV264 @ SV162 ) )
= $true )
| ( ( ~ ( m2_relset_1 @ SV307 @ SV264 @ k1_xboole_0 )
| ( SV307 = k1_xboole_0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7249]) ).
thf(7398,plain,
! [SV308: $i,SV265: $i,SV163: $i] :
( ( ( ~ ! [SY823: $i] :
~ ( ~ ( ~ ~ ( r2_hidden @ SY823 @ SV163 )
| ~ ( ~ ( ~ ( r2_hidden @ SY823 @ SV265 )
| ( r2_hidden @ SY823 @ SV308 ) )
| ~ ( ~ ( r2_hidden @ SY823 @ SV308 )
| ( r2_hidden @ SY823 @ SV265 ) ) ) )
| ~ ( ~ ~ ( ~ ( ~ ( r2_hidden @ SY823 @ SV265 )
| ( r2_hidden @ SY823 @ SV308 ) )
| ~ ( ~ ( r2_hidden @ SY823 @ SV308 )
| ( r2_hidden @ SY823 @ SV265 ) ) )
| ~ ( r2_hidden @ SY823 @ SV163 ) ) ) )
= $true )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7250]) ).
thf(7399,plain,
! [SV164: $i] :
( ( $true = $true )
| ( ( ! [SY664: $i] :
( ~ ( m1_subset_1 @ SY664 @ SV164 )
| ( SY664
= ( k8_subset_1 @ SV164 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7251]) ).
thf(7400,plain,
! [SV309: $i,SV165: $i,SV266: $i] :
( ( ( ~ ~ ( ~ ( m1_pboole @ SV266 @ SV165 )
| ~ ( m1_pboole @ SV309 @ SV165 ) ) )
= $true )
| ( ( ~ ( r6_pboole @ SV165 @ SV266 @ SV309 )
| ( r6_pboole @ SV165 @ SV309 @ SV266 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7252]) ).
thf(7401,plain,
! [SV318: $i,SV310: $i,SV267: $i,SV166: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV166 )
| ~ ~ ( v1_xboole_0 @ SV267 ) )
| ~ ~ ( v1_xboole_0 @ SV310 ) )
| ~ ~ ( v1_xboole_0 @ SV318 ) )
| ~ ( v1_xboole_0 @ ( k4_zfmisc_1 @ SV166 @ SV267 @ SV310 @ SV318 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[7253]) ).
thf(7402,plain,
! [SV268: $i,SV167: $i,SV311: $i] :
( ( ( ~ ( m2_relset_1 @ SV311 @ SV167 @ SV268 ) )
= $true )
| ( ( ~ ( m2_relset_1 @ SV311 @ k1_xboole_0 @ SV268 )
| ( SV311 = k1_xboole_0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7254]) ).
thf(7403,plain,
( ( m1_pboole @ sK11_SX0 @ sK1_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7255]) ).
thf(7404,plain,
( ( ~ ( m1_subset_1 @ sK18_SY800 @ sK1_A )
| ~ ~ ( r2_hidden @ sK18_SY800 @ ( k1_closure3 @ sK1_A @ sK11_SX0 ) )
| ( ( k1_funct_1 @ sK11_SX0 @ sK18_SY800 )
= k1_xboole_0 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[7256]) ).
thf(7405,plain,
! [SV168: $i,SV269: $i] :
( ( ( m1_pboole @ SV269 @ SV168 )
= $false )
| ( ( ~ ( ~ ( ~ ( v3_relat_1 @ SV269 )
| ! [SY801: $i] :
( ~ ( r2_hidden @ SY801 @ SV168 )
| ( v1_xboole_0 @ ( k1_funct_1 @ SV269 @ SY801 ) ) ) )
| ~ ( ~ ! [SY802: $i] :
( ~ ( r2_hidden @ SY802 @ SV168 )
| ( v1_xboole_0 @ ( k1_funct_1 @ SV269 @ SY802 ) ) )
| ( v3_relat_1 @ SV269 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7257]) ).
thf(7406,plain,
! [SV319: $i,SV176: $i,SV39: $i] :
( ( ( ! [SY828: $i] :
( ( ( g2_struct_0 @ SV39 @ SV176 )
!= ( g2_struct_0 @ SV319 @ SY828 ) )
| ~ ( ( SV39 != SV319 )
| ( SV176 != SY828 ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV176 @ SV39 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7258]) ).
thf(7407,plain,
! [SV177: $i,SV40: $i] :
( ( ( ~ ( r2_hidden @ SV40 @ SV177 ) )
= $true )
| ( ( v3_ordinal1 @ SV40 )
= $true )
| ( ( v3_ordinal1 @ SV177 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7259]) ).
thf(7408,plain,
! [SV178: $i,SV41: $i,SV320: $i] :
( ( ( ~ ( m4_pboole @ SV320 @ SV41 @ SV178 )
| ( m1_pboole @ SV320 @ SV41 ) )
= $true )
| ( ( m1_pboole @ SV178 @ SV41 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7260]) ).
thf(7409,plain,
! [SV179: $i,SV42: $i] :
( ( ( ! [SY678: $i] :
~ ( m4_pboole @ SY678 @ SV42 @ SV179 ) )
= $false )
| ( ( m1_pboole @ SV179 @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7261]) ).
thf(7410,plain,
( ( ~ ~ ( v1_xboole_0 @ sK2_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7262]) ).
thf(7411,plain,
( ( ~ ( v1_setfam_1 @ sK2_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7262]) ).
thf(7412,plain,
! [SV180: $i,SV43: $i,SV270: $i] :
( ( ~ ( ( SV270
!= ( k3_xboole_0 @ SV43 @ SV180 ) )
| ! [SY803: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY803 @ SV270 )
| ~ ( ~ ( r2_hidden @ SY803 @ SV43 )
| ~ ( r2_hidden @ SY803 @ SV180 ) ) )
| ~ ( ~ ~ ( ~ ( r2_hidden @ SY803 @ SV43 )
| ~ ( r2_hidden @ SY803 @ SV180 ) )
| ( r2_hidden @ SY803 @ SV270 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7263]) ).
thf(7413,plain,
! [SV180: $i,SV43: $i,SV270: $i] :
( ( ~ ( ~ ! [SY804: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY804 @ SV270 )
| ~ ( ~ ( r2_hidden @ SY804 @ SV43 )
| ~ ( r2_hidden @ SY804 @ SV180 ) ) )
| ~ ( ~ ~ ( ~ ( r2_hidden @ SY804 @ SV43 )
| ~ ( r2_hidden @ SY804 @ SV180 ) )
| ( r2_hidden @ SY804 @ SV270 ) ) )
| ( SV270
= ( k3_xboole_0 @ SV43 @ SV180 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7263]) ).
thf(7414,plain,
! [SV271: $i,SV44: $i,SV181: $i] :
( ( ( ~ ( ~ ( m1_pboole @ SV181 @ SV44 )
| ~ ( m1_pboole @ SV271 @ SV44 ) ) )
= $false )
| ( ( m1_pboole @ ( k11_pboole @ SV44 @ SV181 @ SV271 ) @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7264]) ).
thf(7415,plain,
! [SV272: $i,SV48: $i,SV183: $i] :
( ( ( ~ ( ~ ( m1_pboole @ SV183 @ SV48 )
| ~ ( m1_pboole @ SV272 @ SV48 ) ) )
= $false )
| ( ( ( k2_pboole @ SV48 @ SV183 @ SV272 )
= ( k2_pboole @ SV48 @ SV272 @ SV183 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7267]) ).
thf(7416,plain,
! [SV49: $i] :
( ( ( ~ ( v2_ordinal1 @ SV49 ) )
= $true )
| ( ( ! [SY442: $i,SY443: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ SY442 @ SV49 )
| ~ ( r2_hidden @ SY443 @ SV49 ) )
| ~ ~ ( r2_hidden @ SY442 @ SY443 ) )
| ~ ( ( SY442 != SY443 ) ) )
| ~ ~ ( r2_hidden @ SY443 @ SY442 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7268]) ).
thf(7417,plain,
! [SV49: $i] :
( ( ( ~ ! [SY444: $i,SY445: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ SY444 @ SV49 )
| ~ ( r2_hidden @ SY445 @ SV49 ) )
| ~ ~ ( r2_hidden @ SY444 @ SY445 ) )
| ~ ( ( SY444 != SY445 ) ) )
| ~ ~ ( r2_hidden @ SY445 @ SY444 ) ) )
= $true )
| ( ( v2_ordinal1 @ SV49 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7269]) ).
thf(7418,plain,
! [SV312: $i,SV273: $i,SV184: $i,SV50: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ SV50 @ SV184 )
| ~ ( r2_hidden @ SV184 @ SV273 ) )
| ~ ( r2_hidden @ SV273 @ SV312 ) )
| ~ ( r2_hidden @ SV312 @ SV50 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[7270]) ).
thf(7419,plain,
! [SV274: $i,SV52: $i,SV185: $i] :
( ( ( ~ ( ~ ( m1_pboole @ SV185 @ SV52 )
| ~ ( m1_pboole @ SV274 @ SV52 ) ) )
= $false )
| ( ( ! [SY806: $i] :
( ~ ( m3_pboole @ SY806 @ SV52 @ SV185 @ SV274 )
| ( m1_pboole @ SY806 @ SV52 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7271]) ).
thf(7420,plain,
! [SV186: $i,SV54: $i] :
( ( ( ! [SY688: $i] :
~ ( m3_realset1 @ SY688 @ SV54 @ SV186 ) )
= $false )
| ( ( m1_subset_1 @ SV186 @ SV54 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7273]) ).
thf(7421,plain,
! [SV55: $i] :
( ( ( ! [SY454: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY454 @ ( k1_zfmisc_1 @ SV55 ) )
| ~ ~ ( v1_xboole_0 @ SY454 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV55 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7274]) ).
thf(7422,plain,
! [SV187: $i,SV57: $i] :
( ( ( ~ ! [SY456: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY456 @ SV57 )
| ( p1_s3_xboole_0 @ SY456 ) )
| ~ ( ~ ( p1_s3_xboole_0 @ SY456 )
| ( r2_hidden @ SY456 @ SV57 ) ) )
| ~ ! [SY690: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY690 @ SV187 )
| ( p1_s3_xboole_0 @ SY690 ) )
| ~ ( ~ ( p1_s3_xboole_0 @ SY690 )
| ( r2_hidden @ SY690 @ SV187 ) ) ) )
= $true )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7275]) ).
thf(7423,plain,
! [SV188: $i,SV58: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ SV58 )
| ~ ~ ( v1_xboole_0 @ SV188 ) )
= $true )
| ( ( ~ ( r2_subset_1 @ SV58 @ SV58 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7276]) ).
thf(7424,plain,
! [SV59: $i,SV321: $i] :
( ( ( ~ ( m1_pboole @ SV321 @ SV59 )
| ! [SY829: $i] :
~ ( ~ ( ( SY829
!= ( k1_closure3 @ SV59 @ SV321 ) )
| ( SY829
= ( a_2_0_closure3 @ SV59 @ SV321 ) ) )
| ~ ( ( SY829
!= ( a_2_0_closure3 @ SV59 @ SV321 ) )
| ( SY829
= ( k1_closure3 @ SV59 @ SV321 ) ) ) ) )
= $true )
| ( ( v1_xboole_0 @ SV59 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[7277]) ).
thf(7425,plain,
! [SV60: $i] :
( ( ~ ( ~ ~ ( r1_xboole_0 @ SV60 @ SV60 )
| ( SV60 != k1_xboole_0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[7278]) ).
thf(7426,plain,
! [SV60: $i] :
( ( ~ ( ~ ( ( SV60 != k1_xboole_0 ) )
| ~ ( r1_xboole_0 @ SV60 @ SV60 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[7279]) ).
thf(7427,plain,
! [SV275: $i,SV189: $i,SV61: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV61 )
| ~ ( v2_relat_1 @ SV189 ) )
| ~ ( m1_pboole @ SV189 @ SV61 ) )
| ~ ( m1_subset_1 @ SV275 @ SV61 ) ) )
= $false )
| ( ( ~ ( v1_xboole_0 @ ( k1_funct_1 @ SV189 @ SV275 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7280]) ).
thf(7428,plain,
! [SV276: $i,SV62: $i,SV190: $i] :
( ( ( ~ ( ~ ( m1_pboole @ SV190 @ SV62 )
| ~ ( m1_pboole @ SV276 @ SV62 ) ) )
= $false )
| ( ( r2_pboole @ SV62 @ SV190 @ SV190 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7281]) ).
thf(7429,plain,
! [SV191: $i,SV63: $i,SV322: $i] :
( ( ( ~ ( r2_hidden @ SV322 @ SV63 )
| ( m1_subset_1 @ ( k1_funct_1 @ SV191 @ SV322 ) @ ( k2_relat_1 @ SV191 ) ) )
= $true )
| ( ( m1_pboole @ SV191 @ SV63 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7282]) ).
thf(7430,plain,
! [SV64: $i,SV313: $i] :
( ( ( ~ ( v3_ordinal1 @ SV313 ) )
= $true )
| ( ( ~ ~ ( ~ ~ ( ~ ~ ( r2_hidden @ SV64 @ SV313 )
| ~ ( ( SV64 != SV313 ) ) )
| ~ ~ ( r2_hidden @ SV313 @ SV64 ) ) )
= $true )
| ( ( v3_ordinal1 @ SV64 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7283]) ).
thf(7431,plain,
! [SV65: $i,SV277: $i,SV192: $i] :
( ( ( ~ ( ~ ~ ( v1_xboole_0 @ SV192 )
| ~ ( m1_pboole @ SV277 @ SV192 ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( r2_hidden @ SV65 @ ( a_2_0_closure3 @ SV192 @ SV277 ) )
| ~ ! [SY807: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY807 @ SV192 )
| ( SV65 != SY807 ) )
| ~ ( ( ( k1_funct_1 @ SV277 @ SY807 )
!= k1_xboole_0 ) ) ) )
| ~ ( ~ ~ ! [SY808: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY808 @ SV192 )
| ( SV65 != SY808 ) )
| ~ ( ( ( k1_funct_1 @ SV277 @ SY808 )
!= k1_xboole_0 ) ) )
| ( r2_hidden @ SV65 @ ( a_2_0_closure3 @ SV192 @ SV277 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7284]) ).
thf(7432,plain,
! [SV193: $i,SV66: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ SV66 )
| ~ ~ ( v1_xboole_0 @ SV193 ) )
= $true )
| ( ( ~ ( r1_subset_1 @ SV66 @ SV193 )
| ( r1_subset_1 @ SV193 @ SV66 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7285]) ).
thf(7433,plain,
! [SV67: $i] :
( ( ( ( k6_relat_1 @ SV67 )
= k1_xboole_0 )
= $false )
| ( ( v1_xboole_0 @ SV67 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7286]) ).
thf(7434,plain,
( ( ~ ~ ( v1_xboole_0 @ sK3_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7287]) ).
thf(7435,plain,
( ( ~ ( v1_relat_1 @ sK3_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7287]) ).
thf(7436,plain,
! [SV314: $i,SV278: $i,SV194: $i,SV68: $i] :
( ( ( ( k2_zfmisc_1 @ SV68 @ SV194 )
!= ( k2_zfmisc_1 @ SV278 @ SV314 ) )
= $true )
| ( ( ( SV68 = k1_xboole_0 )
| ( SV194 = k1_xboole_0 )
| ~ ( ( SV68 != SV278 )
| ( SV194 != SV314 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7288]) ).
thf(7437,plain,
! [SV279: $i,SV69: $i,SV195: $i] :
( ( ( ~ ( ~ ( m1_pboole @ SV195 @ SV69 )
| ~ ( m1_pboole @ SV279 @ SV69 ) ) )
= $false )
| ( ( m1_pboole @ ( k2_pboole @ SV69 @ SV195 @ SV279 ) @ SV69 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7289]) ).
thf(7438,plain,
! [SV70: $i] :
( ( ( ~ ( v1_xboole_0 @ SV70 ) )
= $true )
| ( ( SV70 = k1_xboole_0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7290]) ).
thf(7439,plain,
! [SV70: $i] :
( ( ( SV70 != k1_xboole_0 )
= $true )
| ( ( v1_xboole_0 @ SV70 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7291]) ).
thf(7440,plain,
! [SV196: $i,SV71: $i] :
( ( ( v1_xboole_0 @ SV71 )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k2_xboole_0 @ SV71 @ SV196 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7292]) ).
thf(7441,plain,
! [SV280: $i,SV72: $i,SV197: $i] :
( ( ( ~ ( ~ ( m1_pboole @ SV197 @ SV72 )
| ~ ( m1_pboole @ SV280 @ SV72 ) ) )
= $false )
| ( ( m1_pboole @ ( k4_pboole @ SV72 @ SV197 @ SV280 ) @ SV72 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7293]) ).
thf(7442,plain,
! [SV198: $i,SV73: $i] :
( ( ( ~ ~ ( ~ ! [SY482: $i] :
~ ~ ( ~ ( r2_hidden @ SY482 @ SV73 )
| ~ ! [SX3: $i,SX4: $i] :
( SY482
!= ( k4_tarski @ SX3 @ SX4 ) ) )
| ~ ! [SY704: $i] :
~ ~ ( ~ ( r2_hidden @ SY704 @ SV198 )
| ~ ! [SX3: $i,SX4: $i] :
( SY704
!= ( k4_tarski @ SX3 @ SX4 ) ) ) )
| ~ ! [SY707: $i,SY708: $i] :
~ ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 ) )
| ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 ) ) ) )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7294]) ).
thf(7443,plain,
! [SV199: $i,SV74: $i] :
( ( ( ~ ! [SY709: $i] :
( ~ ( r2_hidden @ SY709 @ SV74 )
| ( ( k1_funct_1 @ SV199 @ SY709 )
= k1_xboole_0 ) ) )
= $true )
| ( ( SV199
= ( k1_pboole @ SV74 ) )
= $true )
| ( ( m1_pboole @ SV199 @ SV74 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7295]) ).
thf(7444,plain,
! [SV75: $i] :
( ( ~ ( m1_finseq_2 @ ( sK13_SY492 @ SV75 ) @ SV75 )
| ~ ~ ( v1_xboole_0 @ ( sK13_SY492 @ SV75 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[7296]) ).
thf(7445,plain,
! [SV200: $i,SV76: $i,SV323: $i] :
( ( ( ~ ( m1_pboole @ SV323 @ SV76 )
| ~ ( ~ ( ~ ( r1_pboole @ SV76 @ SV200 @ SV323 )
| ! [SY830: $i] :
( ~ ( r2_hidden @ SY830 @ SV76 )
| ( r2_hidden @ ( k1_funct_1 @ SV200 @ SY830 ) @ ( k1_funct_1 @ SV323 @ SY830 ) ) ) )
| ~ ( ~ ! [SY831: $i] :
( ~ ( r2_hidden @ SY831 @ SV76 )
| ( r2_hidden @ ( k1_funct_1 @ SV200 @ SY831 ) @ ( k1_funct_1 @ SV323 @ SY831 ) ) )
| ( r1_pboole @ SV76 @ SV200 @ SV323 ) ) ) )
= $true )
| ( ( m1_pboole @ SV200 @ SV76 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7297]) ).
thf(7446,plain,
! [SV281: $i,SV77: $i,SV201: $i] :
( ( ( ~ ( ~ ( m1_pboole @ SV201 @ SV77 )
| ~ ( m1_pboole @ SV281 @ SV77 ) ) )
= $false )
| ( ( ( k3_pboole @ SV77 @ SV201 @ SV201 )
= SV201 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7298]) ).
thf(7447,plain,
! [SV282: $i,SV78: $i,SV202: $i] :
( ( ( r2_hidden @ SV202 @ SV78 )
= $false )
| ( ( ( k1_funct_1 @ ( k2_funcop_1 @ SV78 @ SV282 ) @ SV202 )
= SV282 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7299]) ).
thf(7448,plain,
! [SV283: $i,SV203: $i,SV79: $i] :
( ( ~ ~ ( ~ ( r2_hidden @ SV79 @ SV203 )
| ~ ( m1_subset_1 @ SV203 @ ( k1_zfmisc_1 @ SV283 ) ) )
| ~ ( v1_xboole_0 @ SV283 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7300]) ).
thf(7449,plain,
( ( ~ ~ ( v1_xboole_0 @ sK4_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7301]) ).
thf(7450,plain,
( ( ~ ( v1_finset_1 @ sK4_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7301]) ).
thf(7451,plain,
! [SV324: $i,SV315: $i,SV284: $i,SV204: $i,SV80: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ SV80 @ SV204 )
| ~ ( r2_hidden @ SV204 @ SV284 ) )
| ~ ( r2_hidden @ SV284 @ SV315 ) )
| ~ ( r2_hidden @ SV315 @ SV324 ) )
| ~ ( r2_hidden @ SV324 @ SV80 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[7302]) ).
thf(7452,plain,
! [SV285: $i,SV81: $i,SV205: $i] :
( ( ( ~ ( ~ ( m1_pboole @ SV205 @ SV81 )
| ~ ( m1_pboole @ SV285 @ SV81 ) ) )
= $false )
| ( ( ~ ( r5_pboole @ SV81 @ SV205 @ SV285 )
| ( r5_pboole @ SV81 @ SV285 @ SV205 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7303]) ).
thf(7453,plain,
! [SV206: $i,SV82: $i,SV286: $i] :
( ( ~ ( ( SV286
!= ( k2_xboole_0 @ SV82 @ SV206 ) )
| ! [SY812: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY812 @ SV286 )
| ( r2_hidden @ SY812 @ SV82 )
| ( r2_hidden @ SY812 @ SV206 ) )
| ~ ( ~ ( ( r2_hidden @ SY812 @ SV82 )
| ( r2_hidden @ SY812 @ SV206 ) )
| ( r2_hidden @ SY812 @ SV286 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7304]) ).
thf(7454,plain,
! [SV206: $i,SV82: $i,SV286: $i] :
( ( ~ ( ~ ! [SY813: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY813 @ SV286 )
| ( r2_hidden @ SY813 @ SV82 )
| ( r2_hidden @ SY813 @ SV206 ) )
| ~ ( ~ ( ( r2_hidden @ SY813 @ SV82 )
| ( r2_hidden @ SY813 @ SV206 ) )
| ( r2_hidden @ SY813 @ SV286 ) ) )
| ( SV286
= ( k2_xboole_0 @ SV82 @ SV206 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7304]) ).
thf(7455,plain,
! [SV325: $i,SV316: $i,SV287: $i,SV207: $i,SV84: $i] :
( ( ! [SY832: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ SV84 @ SV207 )
| ~ ( r2_hidden @ SV207 @ SV287 ) )
| ~ ( r2_hidden @ SV287 @ SV316 ) )
| ~ ( r2_hidden @ SV316 @ SV325 ) )
| ~ ( r2_hidden @ SV325 @ SY832 ) )
| ~ ( r2_hidden @ SY832 @ SV84 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[7305]) ).
thf(7456,plain,
! [SV208: $i,SV85: $i] :
( ( ~ ~ ( v1_xboole_0 @ SV85 )
| ~ ( ~ ( ~ ( m1_subset_1 @ SV208 @ SV85 )
| ( r2_hidden @ SV208 @ SV85 ) )
| ~ ( ~ ( r2_hidden @ SV208 @ SV85 )
| ( m1_subset_1 @ SV208 @ SV85 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7306]) ).
thf(7457,plain,
! [SV208: $i,SV85: $i] :
( ( ~ ( v1_xboole_0 @ SV85 )
| ~ ( ~ ( ~ ( m1_subset_1 @ SV208 @ SV85 )
| ( v1_xboole_0 @ SV208 ) )
| ~ ( ~ ( v1_xboole_0 @ SV208 )
| ( m1_subset_1 @ SV208 @ SV85 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7307]) ).
thf(7458,plain,
! [SV288: $i,SV86: $i,SV209: $i] :
( ( ( ~ ( ~ ( m1_pboole @ SV209 @ SV86 )
| ~ ( m1_pboole @ SV288 @ SV86 ) ) )
= $false )
| ( ( ( k3_pboole @ SV86 @ SV209 @ SV288 )
= ( k3_pboole @ SV86 @ SV288 @ SV209 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7308]) ).
thf(7459,plain,
! [SV210: $i,SV89: $i] :
( ( ( ~ ( r2_hidden @ SV89 @ SV210 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV210 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7310]) ).
thf(7460,plain,
! [SV211: $i,SV90: $i,SV326: $i] :
( ( ( ~ ( m1_pboole @ SV326 @ SV90 )
| ~ ! [SY833: $i] :
( ~ ( r2_hidden @ SY833 @ SV90 )
| ( ( k1_funct_1 @ SV211 @ SY833 )
= ( k1_funct_1 @ SV326 @ SY833 ) ) )
| ( SV211 = SV326 ) )
= $true )
| ( ( m1_pboole @ SV211 @ SV90 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7311]) ).
thf(7461,plain,
! [SV289: $i,SV212: $i,SV91: $i] :
( ( ( ~ ( ~ ( r2_hidden @ SV91 @ SV212 )
| ~ ( m1_subset_1 @ SV212 @ ( k1_zfmisc_1 @ SV289 ) ) ) )
= $false )
| ( ( m1_subset_1 @ SV91 @ SV289 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7312]) ).
thf(7462,plain,
! [SV290: $i,SV92: $i,SV213: $i] :
( ( ( ~ ( ~ ( m1_pboole @ SV213 @ SV92 )
| ~ ( m1_pboole @ SV290 @ SV92 ) ) )
= $false )
| ( ( m1_pboole @ ( k12_pboole @ SV92 @ SV213 @ SV290 ) @ SV92 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7313]) ).
thf(7463,plain,
! [SV93: $i] :
( ( ~ ( ~ ~ ( v1_realset1 @ SV93 )
| ~ ! [SY530: $i,SY531: $i] :
~ ~ ( ~ ~ ( ~ ( r2_hidden @ SY530 @ SV93 )
| ~ ( r2_hidden @ SY531 @ SV93 ) )
| ~ ( ( SY530 != SY531 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[7314]) ).
thf(7464,plain,
! [SV93: $i] :
( ( ~ ( ~ ~ ! [SY532: $i] :
~ ~ ! [SY533: $i] :
~ ~ ( ~ ~ ( ~ ( r2_hidden @ SY532 @ SV93 )
| ~ ( r2_hidden @ SY533 @ SV93 ) )
| ~ ( ( SY532 != SY533 ) ) )
| ~ ( v1_realset1 @ SV93 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[7315]) ).
thf(7465,plain,
( ( ~ ~ ( v1_xboole_0 @ sK5_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7316]) ).
thf(7466,plain,
( ( ~ ~ ( v1_realset1 @ sK5_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7316]) ).
thf(7467,plain,
! [SV214: $i,SV94: $i] :
( ( ( ( SV94 = k1_xboole_0 )
| ( SV214 = k1_xboole_0 ) )
= $true )
| ( ( SV94 = SV214 )
= $true )
| ( ( ( k2_zfmisc_1 @ SV94 @ SV214 )
= ( k2_zfmisc_1 @ SV214 @ SV94 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7317]) ).
thf(7468,plain,
! [SV215: $i,SV95: $i] :
( ( ~ ( r2_hidden @ SV95 @ ( k1_ordinal1 @ SV215 ) )
| ( r2_hidden @ SV95 @ SV215 )
| ( SV95 = SV215 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7318]) ).
thf(7469,plain,
! [SV215: $i,SV95: $i] :
( ( ~ ( ( r2_hidden @ SV95 @ SV215 )
| ( SV95 = SV215 ) )
| ( r2_hidden @ SV95 @ ( k1_ordinal1 @ SV215 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7319]) ).
thf(7470,plain,
! [SV96: $i] :
( ( ( v1_xboole_0 @ SV96 )
= $false )
| ( ( v2_setfam_1 @ SV96 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7320]) ).
thf(7471,plain,
! [SV97: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK15_SY536 @ SV97 ) @ SV97 )
| ( v3_ordinal1 @ ( sK15_SY536 @ SV97 ) ) ) )
= $true )
| ( ( ~ ( ~ ( v3_ordinal1 @ ( sK15_SY536 @ SV97 ) )
| ( r2_hidden @ ( sK15_SY536 @ SV97 ) @ SV97 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7321]) ).
thf(7472,plain,
! [SV217: $i,SV99: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ SV99 )
| ~ ~ ( v1_xboole_0 @ SV217 ) )
= $true )
| ( ( ~ ( r1_subset_1 @ SV99 @ SV99 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7323]) ).
thf(7473,plain,
! [SV291: $i,SV100: $i,SV218: $i] :
( ( ( ~ ( ~ ( m1_pboole @ SV218 @ SV100 )
| ~ ( m1_pboole @ SV291 @ SV100 ) ) )
= $false )
| ( ( ~ ( r4_pboole @ SV100 @ SV218 @ SV291 )
| ( r4_pboole @ SV100 @ SV291 @ SV218 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7324]) ).
thf(7474,plain,
! [SV317: $i,SV292: $i,SV219: $i,SV101: $i] :
( ( ( ~ ( ( SV101 != SV219 ) ) )
= $true )
| ( ( ~ ( ( ( k1_funct_1 @ ( k4_funct_4 @ SV101 @ SV219 @ SV292 @ SV317 ) @ SV101 )
!= SV292 )
| ( ( k1_funct_1 @ ( k4_funct_4 @ SV101 @ SV219 @ SV292 @ SV317 ) @ SV219 )
!= SV317 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7325]) ).
thf(7475,plain,
! [SV220: $i,SV102: $i,SV327: $i] :
( ( ( ~ ( m2_pboole @ SV327 @ SV102 @ SV220 )
| ( m1_pboole @ SV327 @ SV102 ) )
= $true )
| ( ( m1_pboole @ SV220 @ SV102 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7326]) ).
thf(7476,plain,
! [SV221: $i,SV103: $i] :
( ( ( ~ ( r2_hidden @ SV103 @ SV221 ) )
= $true )
| ( ( ~ ! [SY736: $i] :
~ ~ ( ~ ( r2_hidden @ SY736 @ SV221 )
| ~ ! [SY737: $i] :
~ ~ ( ~ ( r2_hidden @ SY737 @ SV221 )
| ~ ( r2_hidden @ SY737 @ SY736 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7327]) ).
thf(7477,plain,
! [SV222: $i,SV104: $i,SV293: $i] :
( ( ~ ( ( SV293
!= ( k4_xboole_0 @ SV104 @ SV222 ) )
| ! [SY818: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY818 @ SV293 )
| ~ ( ~ ( r2_hidden @ SY818 @ SV104 )
| ~ ~ ( r2_hidden @ SY818 @ SV222 ) ) )
| ~ ( ~ ~ ( ~ ( r2_hidden @ SY818 @ SV104 )
| ~ ~ ( r2_hidden @ SY818 @ SV222 ) )
| ( r2_hidden @ SY818 @ SV293 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7328]) ).
thf(7478,plain,
! [SV222: $i,SV104: $i,SV293: $i] :
( ( ~ ( ~ ! [SY819: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY819 @ SV293 )
| ~ ( ~ ( r2_hidden @ SY819 @ SV104 )
| ~ ~ ( r2_hidden @ SY819 @ SV222 ) ) )
| ~ ( ~ ~ ( ~ ( r2_hidden @ SY819 @ SV104 )
| ~ ~ ( r2_hidden @ SY819 @ SV222 ) )
| ( r2_hidden @ SY819 @ SV293 ) ) )
| ( SV293
= ( k4_xboole_0 @ SV104 @ SV222 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7328]) ).
thf(7479,plain,
! [SV223: $i,SV105: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ SV105 )
| ~ ~ ( v1_xboole_0 @ SV223 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ SV105 @ SV223 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7329]) ).
thf(7480,plain,
! [SV294: $i,SV106: $i,SV224: $i] :
( ( ( ~ ( ~ ( m1_pboole @ SV224 @ SV106 )
| ~ ( m1_pboole @ SV294 @ SV106 ) ) )
= $false )
| ( ( m1_pboole @ ( k3_pboole @ SV106 @ SV224 @ SV294 ) @ SV106 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7330]) ).
thf(7481,plain,
! [SV295: $i,SV107: $i,SV225: $i] :
( ( ( ~ ( ~ ( m1_pboole @ SV225 @ SV107 )
| ~ ( m1_pboole @ SV295 @ SV107 ) ) )
= $false )
| ( ( ( k5_pboole @ SV107 @ SV225 @ SV295 )
= ( k5_pboole @ SV107 @ SV295 @ SV225 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7331]) ).
thf(7482,plain,
! [SV226: $i,SV108: $i] :
( ( ( ~ ~ ( ~ ( v1_xboole_0 @ SV108 )
| ~ ( ( SV108 != SV226 ) ) ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV226 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7332]) ).
thf(7483,plain,
! [SV296: $i,SV228: $i,SV110: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV110 )
| ~ ( m1_pboole @ SV228 @ SV110 ) )
| ~ ( m1_pboole @ SV296 @ SV110 ) ) )
= $false )
| ( ( ~ ( r3_pboole @ SV110 @ SV228 @ SV296 )
| ~ ( r3_pboole @ SV110 @ SV296 @ SV228 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7334]) ).
thf(7484,plain,
! [SV112: $i,SV229: $i] :
( ( ( v1_xboole_0 @ SV229 )
= $true )
| ( ( r2_hidden @ SV112 @ SV229 )
= $true )
| ( ( m1_subset_1 @ SV112 @ SV229 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7335]) ).
thf(7485,plain,
! [SV113: $i] :
( ( ~ ( m1_subset_1 @ ( sK16_SY563 @ SV113 ) @ ( k1_zfmisc_1 @ SV113 ) )
| ~ ( v1_xboole_0 @ ( sK16_SY563 @ SV113 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[7336]) ).
thf(7486,plain,
! [SV114: $i,SV230: $i] :
( ( ( ~ ( ~ ( ( SV230 != k1_xboole_0 ) )
| ~ ! [SY744: $i] :
( ~ ( m1_subset_1 @ SY744 @ SV114 )
| ~ ( r2_hidden @ SY744 @ SV230 ) ) ) )
= $false )
| ( ( m1_subset_1 @ SV230 @ ( k1_zfmisc_1 @ SV114 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7337]) ).
thf(7487,plain,
! [SV115: $i] :
( ( ( SV115 != k1_xboole_0 )
= $true )
| ( ( ! [SY566: $i] :
~ ( r2_hidden @ SY566 @ SV115 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7339]) ).
thf(7488,plain,
! [SV115: $i] :
( ( ( ~ ! [SY567: $i] :
~ ( r2_hidden @ SY567 @ SV115 ) )
= $true )
| ( ( SV115 = k1_xboole_0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7340]) ).
thf(7489,plain,
( ( ~ ( v1_xboole_0 @ sK7_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7341]) ).
thf(7490,plain,
( ( ~ ( v1_relat_1 @ sK7_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7341]) ).
thf(7491,plain,
! [SV231: $i,SV116: $i,SV328: $i] :
( ( ( ~ ( m1_pboole @ SV328 @ SV116 )
| ~ ( ~ ( ~ ( m2_pboole @ SV328 @ SV116 @ SV231 )
| ! [SY834: $i] :
( ~ ( r2_hidden @ SY834 @ SV116 )
| ( m1_subset_1 @ ( k1_funct_1 @ SV328 @ SY834 ) @ ( k1_funct_1 @ SV231 @ SY834 ) ) ) )
| ~ ( ~ ! [SY835: $i] :
( ~ ( r2_hidden @ SY835 @ SV116 )
| ( m1_subset_1 @ ( k1_funct_1 @ SV328 @ SY835 ) @ ( k1_funct_1 @ SV231 @ SY835 ) ) )
| ( m2_pboole @ SV328 @ SV116 @ SV231 ) ) ) )
= $true )
| ( ( m1_pboole @ SV231 @ SV116 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7342]) ).
thf(7492,plain,
! [SV232: $i,SV117: $i,SV329: $i] :
( ( ( ~ ( m1_pboole @ SV329 @ SV117 )
| ! [SY836: $i] :
( ~ ( m1_pboole @ SY836 @ SV117 )
| ~ ~ ( ~ ( r2_pboole @ SV117 @ SV232 @ SV329 )
| ~ ( r2_pboole @ SV117 @ SV329 @ SY836 ) )
| ( r2_pboole @ SV117 @ SV232 @ SY836 ) ) )
= $true )
| ( ( m1_pboole @ SV232 @ SV117 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7343]) ).
thf(7493,plain,
! [SV233: $i,SV119: $i] :
( ( ~ ( r1_tarski @ SV119 @ SV233 )
| ! [SY750: $i] :
( ~ ( r2_hidden @ SY750 @ SV119 )
| ( r2_hidden @ SY750 @ SV233 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7344]) ).
thf(7494,plain,
! [SV233: $i,SV119: $i] :
( ( ~ ! [SY751: $i] :
( ~ ( r2_hidden @ SY751 @ SV119 )
| ( r2_hidden @ SY751 @ SV233 ) )
| ( r1_tarski @ SV119 @ SV233 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7345]) ).
thf(7495,plain,
! [SV120: $i,SV330: $i] :
( ( ( ~ ( m1_pboole @ SV330 @ SV120 )
| ! [SY837: $i] :
( ~ ( m1_pboole @ SY837 @ SV120 )
| ( ( k1_funct_4 @ SV330 @ SY837 )
= SY837 ) ) )
= $true )
| ( ( v1_xboole_0 @ SV120 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[7346]) ).
thf(7496,plain,
! [SV121: $i] :
( ( ( ~ ( r2_wellord2 @ SV121 @ k1_xboole_0 ) )
= $true )
| ( ( SV121 = k1_xboole_0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7347]) ).
thf(7497,plain,
! [SV121: $i] :
( ( ( SV121 != k1_xboole_0 )
= $true )
| ( ( r2_wellord2 @ SV121 @ k1_xboole_0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7348]) ).
thf(7498,plain,
! [SV122: $i,SV331: $i] :
( ( ( ~ ( m1_pboole @ SV331 @ SV122 )
| ! [SY838: $i] :
( ~ ( m1_subset_1 @ SY838 @ ( k2_relat_1 @ SV331 ) )
| ~ ! [SY839: $i] :
~ ~ ( ~ ( r2_hidden @ SY839 @ SV122 )
| ( SY838
!= ( k1_funct_1 @ SV331 @ SY839 ) ) ) ) )
= $true )
| ( ( v1_xboole_0 @ SV122 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[7349]) ).
thf(7499,plain,
! [SV297: $i,SV234: $i,SV123: $i] :
( ( ~ ~ ( ~ ( r2_hidden @ SV123 @ SV234 )
| ~ ( r2_hidden @ SV234 @ SV297 ) )
| ~ ( r2_hidden @ SV297 @ SV123 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7350]) ).
thf(7500,plain,
! [SV235: $i,SV124: $i] :
( ( ( ~ ! [SY753: $i] :
( ~ ( m1_subset_1 @ SY753 @ SV124 )
| ( r2_hidden @ SY753 @ SV235 ) ) )
= $true )
| ( ( SV124 = SV235 )
= $true )
| ( ( m1_subset_1 @ SV235 @ ( k1_zfmisc_1 @ SV124 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7351]) ).
thf(7501,plain,
! [SV298: $i,SV125: $i,SV236: $i] :
( ( ( ~ ( ~ ( m1_pboole @ SV236 @ SV125 )
| ~ ( m1_pboole @ SV298 @ SV125 ) ) )
= $false )
| ( ( r7_pboole @ SV125 @ SV236 @ SV236 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7352]) ).
thf(7502,plain,
! [SV127: $i,SV237: $i] :
( ( ( v1_xboole_0 @ SV237 )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k1_funct_2 @ SV127 @ SV237 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7353]) ).
thf(7503,plain,
( ( ~ ~ ( v1_xboole_0 @ sK8_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7354]) ).
thf(7504,plain,
( ( ~ ( v1_fraenkel @ sK8_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7354]) ).
thf(7505,plain,
! [SV238: $i,SV128: $i] :
( ( ( ~ ( r2_hidden @ SV128 @ SV238 ) )
= $true )
| ( ( ~ ( r1_tarski @ SV238 @ SV128 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7355]) ).
thf(7506,plain,
! [SV239: $i,SV129: $i,SV332: $i] :
( ( ( ~ ( m1_subset_1 @ SV332 @ ( k1_zfmisc_1 @ SV129 ) )
| ~ ! [SY840: $i] :
( ~ ( m1_subset_1 @ SY840 @ SV129 )
| ~ ( ~ ( ~ ( r2_hidden @ SY840 @ SV239 )
| ( r2_hidden @ SY840 @ SV332 ) )
| ~ ( ~ ( r2_hidden @ SY840 @ SV332 )
| ( r2_hidden @ SY840 @ SV239 ) ) ) )
| ( SV239 = SV332 ) )
= $true )
| ( ( m1_subset_1 @ SV239 @ ( k1_zfmisc_1 @ SV129 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7356]) ).
thf(7507,plain,
! [SV130: $i] :
( ( ( v1_xboole_0 @ SV130 )
= $false )
| ( ( v1_realset1 @ SV130 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7357]) ).
thf(7508,plain,
! [SV241: $i,SV132: $i] :
( ( ( ! [SY757: $i] :
~ ( m2_pboole @ SY757 @ SV132 @ SV241 ) )
= $false )
| ( ( m1_pboole @ SV241 @ SV132 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7359]) ).
thf(7509,plain,
! [SV242: $i,SV133: $i] :
( ( ( ~ ~ ( ~ ( ( SV133
!= ( k1_tarski @ SV242 ) ) )
| ~ ( ( SV133 != k1_xboole_0 ) ) ) )
= $true )
| ( ( ~ ! [SY758: $i] :
~ ~ ( ~ ( r2_hidden @ SY758 @ SV133 )
| ~ ( ( SY758 != SV242 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7360]) ).
thf(7510,plain,
! [SV299: $i,SV243: $i,SV134: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV134 )
| ~ ~ ( v1_xboole_0 @ SV243 ) )
| ~ ~ ( v1_xboole_0 @ SV299 ) ) )
= $false )
| ( ( ~ ( v1_xboole_0 @ ( k3_zfmisc_1 @ SV134 @ SV243 @ SV299 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7361]) ).
thf(7511,plain,
! [SV135: $i,SV244: $i] :
( ( ( ~ ( ~ ( ~ ( r2_hidden @ ( sK19_SY760 @ SV244 @ SV135 ) @ SV135 )
| ( r2_hidden @ ( sK19_SY760 @ SV244 @ SV135 ) @ SV244 ) )
| ~ ( ~ ( r2_hidden @ ( sK19_SY760 @ SV244 @ SV135 ) @ SV244 )
| ( r2_hidden @ ( sK19_SY760 @ SV244 @ SV135 ) @ SV135 ) ) ) )
= $false )
| ( ( SV135 = SV244 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[7362]) ).
thf(7512,plain,
! [SV245: $i,SV136: $i,SV333: $i] :
( ( ( ~ ( m1_subset_1 @ SV333 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV136 ) ) )
| ~ ! [SY841: $i] :
( ~ ( m1_subset_1 @ SY841 @ ( k1_zfmisc_1 @ SV136 ) )
| ~ ( ~ ( ~ ( r2_hidden @ SY841 @ SV245 )
| ( r2_hidden @ SY841 @ SV333 ) )
| ~ ( ~ ( r2_hidden @ SY841 @ SV333 )
| ( r2_hidden @ SY841 @ SV245 ) ) ) )
| ( SV245 = SV333 ) )
= $true )
| ( ( m1_subset_1 @ SV245 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV136 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7363]) ).
thf(7513,plain,
! [SV300: $i,SV137: $i,SV246: $i] :
( ( ( ~ ( ~ ( m1_pboole @ SV246 @ SV137 )
| ~ ( m1_pboole @ SV300 @ SV137 ) ) )
= $false )
| ( ( r6_pboole @ SV137 @ SV246 @ SV246 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7364]) ).
thf(7514,plain,
! [SV247: $i,SV138: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ SV138 )
| ~ ~ ( v1_xboole_0 @ SV247 ) )
= $true )
| ( ( ~ ( r2_subset_1 @ SV138 @ SV247 )
| ( r2_subset_1 @ SV247 @ SV138 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7365]) ).
thf(7515,plain,
( ( ~ ~ ( v1_xboole_0 @ sK10_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7366]) ).
thf(7516,plain,
( ( ~ ( v1_realset1 @ sK10_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7366]) ).
thf(7517,plain,
! [SV139: $i,SV248: $i] :
( ( ( ~ ( ~ ( v2_relat_1 @ SV248 )
| ! [SY764: $i] :
~ ~ ( ~ ( r2_hidden @ SY764 @ SV139 )
| ~ ( v1_xboole_0 @ ( k1_funct_1 @ SV248 @ SY764 ) ) ) )
| ~ ( ~ ! [SY765: $i] :
~ ~ ( ~ ( r2_hidden @ SY765 @ SV139 )
| ~ ( v1_xboole_0 @ ( k1_funct_1 @ SV248 @ SY765 ) ) )
| ( v2_relat_1 @ SV248 ) ) )
= $false )
| ( ( m1_pboole @ SV248 @ SV139 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7367]) ).
thf(7518,plain,
! [SV249: $i,SV140: $i,SV301: $i] :
( ( ~ ( ( SV301
!= ( k2_tarski @ SV140 @ SV249 ) )
| ! [SY820: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY820 @ SV301 )
| ( SY820 = SV140 )
| ( SY820 = SV249 ) )
| ~ ( ~ ( ( SY820 = SV140 )
| ( SY820 = SV249 ) )
| ( r2_hidden @ SY820 @ SV301 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7368]) ).
thf(7519,plain,
! [SV249: $i,SV140: $i,SV301: $i] :
( ( ~ ( ~ ! [SY821: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY821 @ SV301 )
| ( SY821 = SV140 )
| ( SY821 = SV249 ) )
| ~ ( ~ ( ( SY821 = SV140 )
| ( SY821 = SV249 ) )
| ( r2_hidden @ SY821 @ SV301 ) ) )
| ( SV301
= ( k2_tarski @ SV140 @ SV249 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7368]) ).
thf(7520,plain,
! [SV302: $i,SV250: $i,SV141: $i] :
( ( ~ ( ~ ( r2_hidden @ SV141 @ ( k5_xboole_0 @ SV250 @ SV302 ) )
| ~ ~ ( ~ ( ~ ( r2_hidden @ SV141 @ SV250 )
| ( r2_hidden @ SV141 @ SV302 ) )
| ~ ( ~ ( r2_hidden @ SV141 @ SV302 )
| ( r2_hidden @ SV141 @ SV250 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7369]) ).
thf(7521,plain,
! [SV302: $i,SV250: $i,SV141: $i] :
( ( ~ ( ~ ~ ~ ( ~ ( ~ ( r2_hidden @ SV141 @ SV250 )
| ( r2_hidden @ SV141 @ SV302 ) )
| ~ ( ~ ( r2_hidden @ SV141 @ SV302 )
| ( r2_hidden @ SV141 @ SV250 ) ) )
| ( r2_hidden @ SV141 @ ( k5_xboole_0 @ SV250 @ SV302 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7369]) ).
thf(7522,plain,
! [SV142: $i,SV251: $i] :
( ( ( r2_hidden @ SV251 @ SV142 )
= $false )
| ( ( r2_hidden @ SV142 @ SV251 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7370]) ).
thf(7523,plain,
! [SV303: $i,SV143: $i,SV252: $i] :
( ( ( ~ ( ~ ( m1_pboole @ SV252 @ SV143 )
| ~ ( m1_pboole @ SV303 @ SV143 ) ) )
= $false )
| ( ( m1_pboole @ ( k5_pboole @ SV143 @ SV252 @ SV303 ) @ SV143 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7371]) ).
thf(7524,plain,
! [SV253: $i,SV144: $i,SV334: $i] :
( ( ( ~ ( m1_pboole @ SV334 @ SV144 )
| ! [SY842: $i] :
( ~ ( m1_pboole @ SY842 @ SV144 )
| ~ ~ ( ~ ( r7_pboole @ SV144 @ SV253 @ SV334 )
| ~ ( r7_pboole @ SV144 @ SV334 @ SY842 ) )
| ( r7_pboole @ SV144 @ SV253 @ SY842 ) ) )
= $true )
| ( ( m1_pboole @ SV253 @ SV144 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7372]) ).
thf(7525,plain,
! [SV304: $i,SV145: $i,SV254: $i] :
( ( ( ~ ( ~ ( m1_pboole @ SV254 @ SV145 )
| ~ ( m1_pboole @ SV304 @ SV145 ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( r6_pboole @ SV145 @ SV254 @ SV304 )
| ( SV254 = SV304 ) )
| ~ ( ( SV254 != SV304 )
| ( r6_pboole @ SV145 @ SV254 @ SV304 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7373]) ).
thf(7526,plain,
! [SV146: $i] :
( ( ( ! [SY626: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY626 @ SV146 )
| ~ ~ ( v1_xboole_0 @ SY626 ) ) )
= $false )
| ( ( v2_setfam_1 @ SV146 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7374]) ).
thf(7527,plain,
! [SV256: $i,SV148: $i] :
( ( ~ ( ( SV148 != k1_xboole_0 ) )
| ~ ( ~ ( ( SV256
!= ( k1_setfam_1 @ SV148 ) )
| ! [SY774: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY774 @ SV256 )
| ! [SY630: $i] :
( ~ ( r2_hidden @ SY630 @ SV148 )
| ( r2_hidden @ SY774 @ SY630 ) ) )
| ~ ( ~ ! [SY631: $i] :
( ~ ( r2_hidden @ SY631 @ SV148 )
| ( r2_hidden @ SY774 @ SY631 ) )
| ( r2_hidden @ SY774 @ SV256 ) ) ) )
| ~ ( ~ ! [SY777: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY777 @ SV256 )
| ! [SY633: $i] :
( ~ ( r2_hidden @ SY633 @ SV148 )
| ( r2_hidden @ SY777 @ SY633 ) ) )
| ~ ( ~ ! [SY634: $i] :
( ~ ( r2_hidden @ SY634 @ SV148 )
| ( r2_hidden @ SY777 @ SY634 ) )
| ( r2_hidden @ SY777 @ SV256 ) ) )
| ( SV256
= ( k1_setfam_1 @ SV148 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7376]) ).
thf(7528,plain,
! [SV256: $i,SV148: $i] :
( ( ( SV148 != k1_xboole_0 )
| ~ ( ~ ( ( SV256
!= ( k1_setfam_1 @ SV148 ) )
| ( SV256 = k1_xboole_0 ) )
| ~ ( ( SV256 != k1_xboole_0 )
| ( SV256
= ( k1_setfam_1 @ SV148 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7377]) ).
thf(7529,plain,
! [SV149: $i,SV257: $i] :
( ( ( SV257
!= ( k1_tarski @ SV149 ) )
| ! [SY780: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY780 @ SV257 )
| ( SY780 = SV149 ) )
| ~ ( ( SY780 != SV149 )
| ( r2_hidden @ SY780 @ SV257 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7378]) ).
thf(7530,plain,
! [SV149: $i,SV257: $i] :
( ( ~ ! [SY781: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY781 @ SV257 )
| ( SY781 = SV149 ) )
| ~ ( ( SY781 != SV149 )
| ( r2_hidden @ SY781 @ SV257 ) ) )
| ( SV257
= ( k1_tarski @ SV149 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7379]) ).
thf(7531,plain,
! [SV258: $i,SV150: $i] :
( ( ~ ~ ( ~ ~ ( r1_xboole_0 @ SV150 @ SV258 )
| ~ ! [SY782: $i] :
~ ~ ( ~ ( r2_hidden @ SY782 @ SV150 )
| ~ ( r2_hidden @ SY782 @ SV258 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7380]) ).
thf(7532,plain,
! [SV258: $i,SV150: $i] :
( ( ~ ~ ( ~ ~ ! [SY783: $i] :
~ ~ ( ~ ( r2_hidden @ SY783 @ SV150 )
| ~ ( r2_hidden @ SY783 @ SV258 ) )
| ~ ( r1_xboole_0 @ SV150 @ SV258 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7381]) ).
thf(7533,plain,
! [SV151: $i,SV259: $i] :
( ( ( SV259
!= ( k3_tarski @ SV151 ) )
| ! [SY784: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY784 @ SV259 )
| ~ ! [SY643: $i] :
~ ~ ( ~ ( r2_hidden @ SY784 @ SY643 )
| ~ ( r2_hidden @ SY643 @ SV151 ) ) )
| ~ ( ~ ~ ! [SY644: $i] :
~ ~ ( ~ ( r2_hidden @ SY784 @ SY644 )
| ~ ( r2_hidden @ SY644 @ SV151 ) )
| ( r2_hidden @ SY784 @ SV259 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7382]) ).
thf(7534,plain,
! [SV151: $i,SV259: $i] :
( ( ~ ! [SY787: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY787 @ SV259 )
| ~ ! [SY646: $i] :
~ ~ ( ~ ( r2_hidden @ SY787 @ SY646 )
| ~ ( r2_hidden @ SY646 @ SV151 ) ) )
| ~ ( ~ ~ ! [SY647: $i] :
~ ~ ( ~ ( r2_hidden @ SY787 @ SY647 )
| ~ ( r2_hidden @ SY647 @ SV151 ) )
| ( r2_hidden @ SY787 @ SV259 ) ) )
| ( SV259
= ( k3_tarski @ SV151 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7383]) ).
thf(7535,plain,
! [SV260: $i,SV152: $i] :
( ( ( v1_xboole_0 @ SV152 )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k2_xboole_0 @ SV260 @ SV152 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7384]) ).
thf(7536,plain,
! [SV305: $i,SV153: $i,SV261: $i] :
( ( ( ~ ( ~ ( m1_pboole @ SV261 @ SV153 )
| ~ ( m1_pboole @ SV305 @ SV153 ) ) )
= $false )
| ( ( ( k2_pboole @ SV153 @ SV261 @ SV261 )
= SV261 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7385]) ).
thf(7537,plain,
! [SV154: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ SV154 ) )
= $true )
| ( ( ~ ( v1_setfam_1 @ SV154 ) )
= $true )
| ( ( ! [SY651: $i] :
( ~ ( m1_subset_1 @ SY651 @ SV154 )
| ~ ( v1_xboole_0 @ SY651 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7386]) ).
thf(7538,plain,
! [SV156: $i] :
( ( v3_ordinal1 @ ( sK17_SY652 @ SV156 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7387]) ).
thf(7539,plain,
! [SV158: $i] :
( ( ( ~ ( v2_setfam_1 @ SV158 ) )
= $true )
| ( ( ! [SY653: $i] :
( ~ ~ ( v1_xboole_0 @ SY653 )
| ~ ( r2_hidden @ SY653 @ SV158 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7390]) ).
thf(7540,plain,
! [SV158: $i] :
( ( ( ~ ! [SY654: $i] :
( ~ ~ ( v1_xboole_0 @ SY654 )
| ~ ( r2_hidden @ SY654 @ SV158 ) ) )
= $true )
| ( ( v2_setfam_1 @ SV158 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7391]) ).
thf(7541,plain,
! [SV262: $i,SV159: $i] :
( ( ( ( k2_zfmisc_1 @ SV159 @ SV262 )
!= k1_xboole_0 )
| ( SV159 = k1_xboole_0 )
| ( SV262 = k1_xboole_0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7392]) ).
thf(7542,plain,
! [SV262: $i,SV159: $i] :
( ( ~ ( ( SV159 = k1_xboole_0 )
| ( SV262 = k1_xboole_0 ) )
| ( ( k2_zfmisc_1 @ SV159 @ SV262 )
= k1_xboole_0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7393]) ).
thf(7543,plain,
! [SV160: $i] :
( ( ( ~ ( v1_setfam_1 @ SV160 ) )
= $true )
| ( ( ~ ( r2_hidden @ k1_xboole_0 @ SV160 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7394]) ).
thf(7544,plain,
! [SV160: $i] :
( ( ( ~ ~ ( r2_hidden @ k1_xboole_0 @ SV160 ) )
= $true )
| ( ( v1_setfam_1 @ SV160 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7395]) ).
thf(7545,plain,
! [SV306: $i,SV161: $i,SV263: $i] :
( ( ( ~ ( ~ ( m1_pboole @ SV263 @ SV161 )
| ~ ( m1_pboole @ SV306 @ SV161 ) ) )
= $false )
| ( ( ~ ! [SY822: $i] :
~ ( m3_pboole @ SY822 @ SV161 @ SV263 @ SV306 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7396]) ).
thf(7546,plain,
! [SV162: $i,SV264: $i,SV307: $i] :
( ( ( m2_relset_1 @ SV307 @ SV264 @ SV162 )
= $false )
| ( ( ~ ( m2_relset_1 @ SV307 @ SV264 @ k1_xboole_0 )
| ( SV307 = k1_xboole_0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7397]) ).
thf(7547,plain,
! [SV308: $i,SV265: $i,SV163: $i] :
( ( ( ! [SY823: $i] :
~ ( ~ ( ~ ~ ( r2_hidden @ SY823 @ SV163 )
| ~ ( ~ ( ~ ( r2_hidden @ SY823 @ SV265 )
| ( r2_hidden @ SY823 @ SV308 ) )
| ~ ( ~ ( r2_hidden @ SY823 @ SV308 )
| ( r2_hidden @ SY823 @ SV265 ) ) ) )
| ~ ( ~ ~ ( ~ ( ~ ( r2_hidden @ SY823 @ SV265 )
| ( r2_hidden @ SY823 @ SV308 ) )
| ~ ( ~ ( r2_hidden @ SY823 @ SV308 )
| ( r2_hidden @ SY823 @ SV265 ) ) )
| ~ ( r2_hidden @ SY823 @ SV163 ) ) ) )
= $false )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7398]) ).
thf(7548,plain,
! [SV164: $i,SV335: $i] :
( ( ( ~ ( m1_subset_1 @ SV335 @ SV164 )
| ( SV335
= ( k8_subset_1 @ SV164 ) ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[7399]) ).
thf(7549,plain,
! [SV309: $i,SV165: $i,SV266: $i] :
( ( ( ~ ( ~ ( m1_pboole @ SV266 @ SV165 )
| ~ ( m1_pboole @ SV309 @ SV165 ) ) )
= $false )
| ( ( ~ ( r6_pboole @ SV165 @ SV266 @ SV309 )
| ( r6_pboole @ SV165 @ SV309 @ SV266 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7400]) ).
thf(7550,plain,
! [SV318: $i,SV310: $i,SV267: $i,SV166: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV166 )
| ~ ~ ( v1_xboole_0 @ SV267 ) )
| ~ ~ ( v1_xboole_0 @ SV310 ) )
| ~ ~ ( v1_xboole_0 @ SV318 ) ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k4_zfmisc_1 @ SV166 @ SV267 @ SV310 @ SV318 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7401]) ).
thf(7551,plain,
! [SV268: $i,SV167: $i,SV311: $i] :
( ( ( m2_relset_1 @ SV311 @ SV167 @ SV268 )
= $false )
| ( ( ~ ( m2_relset_1 @ SV311 @ k1_xboole_0 @ SV268 )
| ( SV311 = k1_xboole_0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7402]) ).
thf(7552,plain,
( ( ~ ( m1_subset_1 @ sK18_SY800 @ sK1_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7404]) ).
thf(7553,plain,
( ( ~ ~ ( r2_hidden @ sK18_SY800 @ ( k1_closure3 @ sK1_A @ sK11_SX0 ) )
| ( ( k1_funct_1 @ sK11_SX0 @ sK18_SY800 )
= k1_xboole_0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7404]) ).
thf(7554,plain,
! [SV168: $i,SV269: $i] :
( ( ( ~ ( ~ ( v3_relat_1 @ SV269 )
| ! [SY801: $i] :
( ~ ( r2_hidden @ SY801 @ SV168 )
| ( v1_xboole_0 @ ( k1_funct_1 @ SV269 @ SY801 ) ) ) )
| ~ ( ~ ! [SY802: $i] :
( ~ ( r2_hidden @ SY802 @ SV168 )
| ( v1_xboole_0 @ ( k1_funct_1 @ SV269 @ SY802 ) ) )
| ( v3_relat_1 @ SV269 ) ) )
= $false )
| ( ( m1_pboole @ SV269 @ SV168 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7405]) ).
thf(7555,plain,
! [SV336: $i,SV319: $i,SV176: $i,SV39: $i] :
( ( ( ( ( g2_struct_0 @ SV39 @ SV176 )
!= ( g2_struct_0 @ SV319 @ SV336 ) )
| ~ ( ( SV39 != SV319 )
| ( SV176 != SV336 ) ) )
= $true )
| ( ( m1_subset_1 @ SV176 @ SV39 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7406]) ).
thf(7556,plain,
! [SV177: $i,SV40: $i] :
( ( ( r2_hidden @ SV40 @ SV177 )
= $false )
| ( ( v3_ordinal1 @ SV40 )
= $true )
| ( ( v3_ordinal1 @ SV177 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7407]) ).
thf(7557,plain,
! [SV178: $i,SV41: $i,SV320: $i] :
( ( ( ~ ( m4_pboole @ SV320 @ SV41 @ SV178 ) )
= $true )
| ( ( m1_pboole @ SV320 @ SV41 )
= $true )
| ( ( m1_pboole @ SV178 @ SV41 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7408]) ).
thf(7558,plain,
! [SV42: $i,SV179: $i] :
( ( ( ~ ( m4_pboole @ ( sK20_SY678 @ SV179 @ SV42 ) @ SV42 @ SV179 ) )
= $false )
| ( ( m1_pboole @ SV179 @ SV42 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[7409]) ).
thf(7559,plain,
( ( ~ ( v1_xboole_0 @ sK2_SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7410]) ).
thf(7560,plain,
( ( v1_setfam_1 @ sK2_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7411]) ).
thf(7561,plain,
! [SV180: $i,SV43: $i,SV270: $i] :
( ( ( SV270
!= ( k3_xboole_0 @ SV43 @ SV180 ) )
| ! [SY803: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY803 @ SV270 )
| ~ ( ~ ( r2_hidden @ SY803 @ SV43 )
| ~ ( r2_hidden @ SY803 @ SV180 ) ) )
| ~ ( ~ ~ ( ~ ( r2_hidden @ SY803 @ SV43 )
| ~ ( r2_hidden @ SY803 @ SV180 ) )
| ( r2_hidden @ SY803 @ SV270 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7412]) ).
thf(7562,plain,
! [SV180: $i,SV43: $i,SV270: $i] :
( ( ~ ! [SY804: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY804 @ SV270 )
| ~ ( ~ ( r2_hidden @ SY804 @ SV43 )
| ~ ( r2_hidden @ SY804 @ SV180 ) ) )
| ~ ( ~ ~ ( ~ ( r2_hidden @ SY804 @ SV43 )
| ~ ( r2_hidden @ SY804 @ SV180 ) )
| ( r2_hidden @ SY804 @ SV270 ) ) )
| ( SV270
= ( k3_xboole_0 @ SV43 @ SV180 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7413]) ).
thf(7563,plain,
! [SV271: $i,SV44: $i,SV181: $i] :
( ( ( ~ ( m1_pboole @ SV181 @ SV44 )
| ~ ( m1_pboole @ SV271 @ SV44 ) )
= $true )
| ( ( m1_pboole @ ( k11_pboole @ SV44 @ SV181 @ SV271 ) @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7414]) ).
thf(7564,plain,
! [SV272: $i,SV48: $i,SV183: $i] :
( ( ( ~ ( m1_pboole @ SV183 @ SV48 )
| ~ ( m1_pboole @ SV272 @ SV48 ) )
= $true )
| ( ( ( k2_pboole @ SV48 @ SV183 @ SV272 )
= ( k2_pboole @ SV48 @ SV272 @ SV183 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7415]) ).
thf(7565,plain,
! [SV49: $i] :
( ( ( v2_ordinal1 @ SV49 )
= $false )
| ( ( ! [SY442: $i,SY443: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ SY442 @ SV49 )
| ~ ( r2_hidden @ SY443 @ SV49 ) )
| ~ ~ ( r2_hidden @ SY442 @ SY443 ) )
| ~ ( ( SY442 != SY443 ) ) )
| ~ ~ ( r2_hidden @ SY443 @ SY442 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7416]) ).
thf(7566,plain,
! [SV49: $i] :
( ( ( ! [SY444: $i,SY445: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ SY444 @ SV49 )
| ~ ( r2_hidden @ SY445 @ SV49 ) )
| ~ ~ ( r2_hidden @ SY444 @ SY445 ) )
| ~ ( ( SY444 != SY445 ) ) )
| ~ ~ ( r2_hidden @ SY445 @ SY444 ) ) )
= $false )
| ( ( v2_ordinal1 @ SV49 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7417]) ).
thf(7567,plain,
! [SV312: $i,SV273: $i,SV184: $i,SV50: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ SV50 @ SV184 )
| ~ ( r2_hidden @ SV184 @ SV273 ) )
| ~ ( r2_hidden @ SV273 @ SV312 ) )
| ~ ( r2_hidden @ SV312 @ SV50 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7418]) ).
thf(7568,plain,
! [SV274: $i,SV52: $i,SV185: $i] :
( ( ( ~ ( m1_pboole @ SV185 @ SV52 )
| ~ ( m1_pboole @ SV274 @ SV52 ) )
= $true )
| ( ( ! [SY806: $i] :
( ~ ( m3_pboole @ SY806 @ SV52 @ SV185 @ SV274 )
| ( m1_pboole @ SY806 @ SV52 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7419]) ).
thf(7569,plain,
! [SV54: $i,SV186: $i] :
( ( ( ~ ( m3_realset1 @ ( sK21_SY688 @ SV186 @ SV54 ) @ SV54 @ SV186 ) )
= $false )
| ( ( m1_subset_1 @ SV186 @ SV54 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[7420]) ).
thf(7570,plain,
! [SV55: $i] :
( ( ( ~ ~ ( ~ ( m1_subset_1 @ ( sK22_SY454 @ SV55 ) @ ( k1_zfmisc_1 @ SV55 ) )
| ~ ~ ( v1_xboole_0 @ ( sK22_SY454 @ SV55 ) ) ) )
= $false )
| ( ( v1_xboole_0 @ SV55 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[7421]) ).
thf(7571,plain,
! [SV187: $i,SV57: $i] :
( ( ( ~ ! [SY456: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY456 @ SV57 )
| ( p1_s3_xboole_0 @ SY456 ) )
| ~ ( ~ ( p1_s3_xboole_0 @ SY456 )
| ( r2_hidden @ SY456 @ SV57 ) ) ) )
= $true )
| ( ( ~ ! [SY690: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY690 @ SV187 )
| ( p1_s3_xboole_0 @ SY690 ) )
| ~ ( ~ ( p1_s3_xboole_0 @ SY690 )
| ( r2_hidden @ SY690 @ SV187 ) ) ) )
= $true )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7422]) ).
thf(7572,plain,
! [SV188: $i,SV58: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ SV58 ) )
= $true )
| ( ( ~ ~ ( v1_xboole_0 @ SV188 ) )
= $true )
| ( ( ~ ( r2_subset_1 @ SV58 @ SV58 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7423]) ).
thf(7573,plain,
! [SV59: $i,SV321: $i] :
( ( ( ~ ( m1_pboole @ SV321 @ SV59 ) )
= $true )
| ( ( ! [SY829: $i] :
~ ( ~ ( ( SY829
!= ( k1_closure3 @ SV59 @ SV321 ) )
| ( SY829
= ( a_2_0_closure3 @ SV59 @ SV321 ) ) )
| ~ ( ( SY829
!= ( a_2_0_closure3 @ SV59 @ SV321 ) )
| ( SY829
= ( k1_closure3 @ SV59 @ SV321 ) ) ) ) )
= $true )
| ( ( v1_xboole_0 @ SV59 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7424]) ).
thf(7574,plain,
! [SV60: $i] :
( ( ~ ~ ( r1_xboole_0 @ SV60 @ SV60 )
| ( SV60 != k1_xboole_0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7425]) ).
thf(7575,plain,
! [SV60: $i] :
( ( ~ ( ( SV60 != k1_xboole_0 ) )
| ~ ( r1_xboole_0 @ SV60 @ SV60 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7426]) ).
thf(7576,plain,
! [SV275: $i,SV189: $i,SV61: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV61 )
| ~ ( v2_relat_1 @ SV189 ) )
| ~ ( m1_pboole @ SV189 @ SV61 ) )
| ~ ( m1_subset_1 @ SV275 @ SV61 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k1_funct_1 @ SV189 @ SV275 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7427]) ).
thf(7577,plain,
! [SV276: $i,SV62: $i,SV190: $i] :
( ( ( ~ ( m1_pboole @ SV190 @ SV62 )
| ~ ( m1_pboole @ SV276 @ SV62 ) )
= $true )
| ( ( r2_pboole @ SV62 @ SV190 @ SV190 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7428]) ).
thf(7578,plain,
! [SV191: $i,SV63: $i,SV322: $i] :
( ( ( ~ ( r2_hidden @ SV322 @ SV63 ) )
= $true )
| ( ( m1_subset_1 @ ( k1_funct_1 @ SV191 @ SV322 ) @ ( k2_relat_1 @ SV191 ) )
= $true )
| ( ( m1_pboole @ SV191 @ SV63 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7429]) ).
thf(7579,plain,
! [SV64: $i,SV313: $i] :
( ( ( v3_ordinal1 @ SV313 )
= $false )
| ( ( ~ ~ ( ~ ~ ( ~ ~ ( r2_hidden @ SV64 @ SV313 )
| ~ ( ( SV64 != SV313 ) ) )
| ~ ~ ( r2_hidden @ SV313 @ SV64 ) ) )
= $true )
| ( ( v3_ordinal1 @ SV64 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7430]) ).
thf(7580,plain,
! [SV65: $i,SV277: $i,SV192: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ SV192 )
| ~ ( m1_pboole @ SV277 @ SV192 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( r2_hidden @ SV65 @ ( a_2_0_closure3 @ SV192 @ SV277 ) )
| ~ ! [SY807: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY807 @ SV192 )
| ( SV65 != SY807 ) )
| ~ ( ( ( k1_funct_1 @ SV277 @ SY807 )
!= k1_xboole_0 ) ) ) )
| ~ ( ~ ~ ! [SY808: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY808 @ SV192 )
| ( SV65 != SY808 ) )
| ~ ( ( ( k1_funct_1 @ SV277 @ SY808 )
!= k1_xboole_0 ) ) )
| ( r2_hidden @ SV65 @ ( a_2_0_closure3 @ SV192 @ SV277 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7431]) ).
thf(7581,plain,
! [SV193: $i,SV66: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ SV66 ) )
= $true )
| ( ( ~ ~ ( v1_xboole_0 @ SV193 ) )
= $true )
| ( ( ~ ( r1_subset_1 @ SV66 @ SV193 )
| ( r1_subset_1 @ SV193 @ SV66 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7432]) ).
thf(7582,plain,
( ( ~ ( v1_xboole_0 @ sK3_SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7434]) ).
thf(7583,plain,
( ( v1_relat_1 @ sK3_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7435]) ).
thf(7584,plain,
! [SV314: $i,SV278: $i,SV194: $i,SV68: $i] :
( ( ( ( k2_zfmisc_1 @ SV68 @ SV194 )
= ( k2_zfmisc_1 @ SV278 @ SV314 ) )
= $false )
| ( ( ( SV68 = k1_xboole_0 )
| ( SV194 = k1_xboole_0 )
| ~ ( ( SV68 != SV278 )
| ( SV194 != SV314 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7436]) ).
thf(7585,plain,
! [SV279: $i,SV69: $i,SV195: $i] :
( ( ( ~ ( m1_pboole @ SV195 @ SV69 )
| ~ ( m1_pboole @ SV279 @ SV69 ) )
= $true )
| ( ( m1_pboole @ ( k2_pboole @ SV69 @ SV195 @ SV279 ) @ SV69 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7437]) ).
thf(7586,plain,
! [SV70: $i] :
( ( ( v1_xboole_0 @ SV70 )
= $false )
| ( ( SV70 = k1_xboole_0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7438]) ).
thf(7587,plain,
! [SV70: $i] :
( ( ( SV70 = k1_xboole_0 )
= $false )
| ( ( v1_xboole_0 @ SV70 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7439]) ).
thf(7588,plain,
! [SV196: $i,SV71: $i] :
( ( ( v1_xboole_0 @ ( k2_xboole_0 @ SV71 @ SV196 ) )
= $false )
| ( ( v1_xboole_0 @ SV71 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7440]) ).
thf(7589,plain,
! [SV280: $i,SV72: $i,SV197: $i] :
( ( ( ~ ( m1_pboole @ SV197 @ SV72 )
| ~ ( m1_pboole @ SV280 @ SV72 ) )
= $true )
| ( ( m1_pboole @ ( k4_pboole @ SV72 @ SV197 @ SV280 ) @ SV72 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7441]) ).
thf(7590,plain,
! [SV198: $i,SV73: $i] :
( ( ( ~ ~ ( ~ ! [SY482: $i] :
~ ~ ( ~ ( r2_hidden @ SY482 @ SV73 )
| ~ ! [SX3: $i,SX4: $i] :
( SY482
!= ( k4_tarski @ SX3 @ SX4 ) ) )
| ~ ! [SY704: $i] :
~ ~ ( ~ ( r2_hidden @ SY704 @ SV198 )
| ~ ! [SX3: $i,SX4: $i] :
( SY704
!= ( k4_tarski @ SX3 @ SX4 ) ) ) ) )
= $true )
| ( ( ~ ! [SY707: $i,SY708: $i] :
~ ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 ) )
| ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 ) ) ) )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7442]) ).
thf(7591,plain,
! [SV199: $i,SV74: $i] :
( ( ( ! [SY709: $i] :
( ~ ( r2_hidden @ SY709 @ SV74 )
| ( ( k1_funct_1 @ SV199 @ SY709 )
= k1_xboole_0 ) ) )
= $false )
| ( ( SV199
= ( k1_pboole @ SV74 ) )
= $true )
| ( ( m1_pboole @ SV199 @ SV74 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7443]) ).
thf(7592,plain,
! [SV75: $i] :
( ( ~ ( m1_finseq_2 @ ( sK13_SY492 @ SV75 ) @ SV75 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7444]) ).
thf(7593,plain,
! [SV75: $i] :
( ( ~ ~ ( v1_xboole_0 @ ( sK13_SY492 @ SV75 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7444]) ).
thf(7594,plain,
! [SV200: $i,SV76: $i,SV323: $i] :
( ( ( ~ ( m1_pboole @ SV323 @ SV76 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( r1_pboole @ SV76 @ SV200 @ SV323 )
| ! [SY830: $i] :
( ~ ( r2_hidden @ SY830 @ SV76 )
| ( r2_hidden @ ( k1_funct_1 @ SV200 @ SY830 ) @ ( k1_funct_1 @ SV323 @ SY830 ) ) ) )
| ~ ( ~ ! [SY831: $i] :
( ~ ( r2_hidden @ SY831 @ SV76 )
| ( r2_hidden @ ( k1_funct_1 @ SV200 @ SY831 ) @ ( k1_funct_1 @ SV323 @ SY831 ) ) )
| ( r1_pboole @ SV76 @ SV200 @ SV323 ) ) ) )
= $true )
| ( ( m1_pboole @ SV200 @ SV76 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7445]) ).
thf(7595,plain,
! [SV281: $i,SV77: $i,SV201: $i] :
( ( ( ~ ( m1_pboole @ SV201 @ SV77 )
| ~ ( m1_pboole @ SV281 @ SV77 ) )
= $true )
| ( ( ( k3_pboole @ SV77 @ SV201 @ SV201 )
= SV201 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7446]) ).
thf(7596,plain,
! [SV283: $i,SV203: $i,SV79: $i] :
( ( ( ~ ~ ( ~ ( r2_hidden @ SV79 @ SV203 )
| ~ ( m1_subset_1 @ SV203 @ ( k1_zfmisc_1 @ SV283 ) ) ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV283 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7448]) ).
thf(7597,plain,
( ( ~ ( v1_xboole_0 @ sK4_SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7449]) ).
thf(7598,plain,
( ( v1_finset_1 @ sK4_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7450]) ).
thf(7599,plain,
! [SV324: $i,SV315: $i,SV284: $i,SV204: $i,SV80: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ SV80 @ SV204 )
| ~ ( r2_hidden @ SV204 @ SV284 ) )
| ~ ( r2_hidden @ SV284 @ SV315 ) )
| ~ ( r2_hidden @ SV315 @ SV324 ) )
| ~ ( r2_hidden @ SV324 @ SV80 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[7451]) ).
thf(7600,plain,
! [SV285: $i,SV81: $i,SV205: $i] :
( ( ( ~ ( m1_pboole @ SV205 @ SV81 )
| ~ ( m1_pboole @ SV285 @ SV81 ) )
= $true )
| ( ( ~ ( r5_pboole @ SV81 @ SV205 @ SV285 )
| ( r5_pboole @ SV81 @ SV285 @ SV205 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7452]) ).
thf(7601,plain,
! [SV206: $i,SV82: $i,SV286: $i] :
( ( ( SV286
!= ( k2_xboole_0 @ SV82 @ SV206 ) )
| ! [SY812: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY812 @ SV286 )
| ( r2_hidden @ SY812 @ SV82 )
| ( r2_hidden @ SY812 @ SV206 ) )
| ~ ( ~ ( ( r2_hidden @ SY812 @ SV82 )
| ( r2_hidden @ SY812 @ SV206 ) )
| ( r2_hidden @ SY812 @ SV286 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7453]) ).
thf(7602,plain,
! [SV206: $i,SV82: $i,SV286: $i] :
( ( ~ ! [SY813: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY813 @ SV286 )
| ( r2_hidden @ SY813 @ SV82 )
| ( r2_hidden @ SY813 @ SV206 ) )
| ~ ( ~ ( ( r2_hidden @ SY813 @ SV82 )
| ( r2_hidden @ SY813 @ SV206 ) )
| ( r2_hidden @ SY813 @ SV286 ) ) )
| ( SV286
= ( k2_xboole_0 @ SV82 @ SV206 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7454]) ).
thf(7603,plain,
! [SV337: $i,SV325: $i,SV316: $i,SV287: $i,SV207: $i,SV84: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ SV84 @ SV207 )
| ~ ( r2_hidden @ SV207 @ SV287 ) )
| ~ ( r2_hidden @ SV287 @ SV316 ) )
| ~ ( r2_hidden @ SV316 @ SV325 ) )
| ~ ( r2_hidden @ SV325 @ SV337 ) )
| ~ ( r2_hidden @ SV337 @ SV84 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[7455]) ).
thf(7604,plain,
! [SV208: $i,SV85: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ SV85 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( m1_subset_1 @ SV208 @ SV85 )
| ( r2_hidden @ SV208 @ SV85 ) )
| ~ ( ~ ( r2_hidden @ SV208 @ SV85 )
| ( m1_subset_1 @ SV208 @ SV85 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7456]) ).
thf(7605,plain,
! [SV208: $i,SV85: $i] :
( ( ( ~ ( v1_xboole_0 @ SV85 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( m1_subset_1 @ SV208 @ SV85 )
| ( v1_xboole_0 @ SV208 ) )
| ~ ( ~ ( v1_xboole_0 @ SV208 )
| ( m1_subset_1 @ SV208 @ SV85 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7457]) ).
thf(7606,plain,
! [SV288: $i,SV86: $i,SV209: $i] :
( ( ( ~ ( m1_pboole @ SV209 @ SV86 )
| ~ ( m1_pboole @ SV288 @ SV86 ) )
= $true )
| ( ( ( k3_pboole @ SV86 @ SV209 @ SV288 )
= ( k3_pboole @ SV86 @ SV288 @ SV209 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7458]) ).
thf(7607,plain,
! [SV210: $i,SV89: $i] :
( ( ( r2_hidden @ SV89 @ SV210 )
= $false )
| ( ( ~ ( v1_xboole_0 @ SV210 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7459]) ).
thf(7608,plain,
! [SV211: $i,SV90: $i,SV326: $i] :
( ( ( ~ ( m1_pboole @ SV326 @ SV90 ) )
= $true )
| ( ( ~ ! [SY833: $i] :
( ~ ( r2_hidden @ SY833 @ SV90 )
| ( ( k1_funct_1 @ SV211 @ SY833 )
= ( k1_funct_1 @ SV326 @ SY833 ) ) )
| ( SV211 = SV326 ) )
= $true )
| ( ( m1_pboole @ SV211 @ SV90 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7460]) ).
thf(7609,plain,
! [SV289: $i,SV212: $i,SV91: $i] :
( ( ( ~ ( r2_hidden @ SV91 @ SV212 )
| ~ ( m1_subset_1 @ SV212 @ ( k1_zfmisc_1 @ SV289 ) ) )
= $true )
| ( ( m1_subset_1 @ SV91 @ SV289 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7461]) ).
thf(7610,plain,
! [SV290: $i,SV92: $i,SV213: $i] :
( ( ( ~ ( m1_pboole @ SV213 @ SV92 )
| ~ ( m1_pboole @ SV290 @ SV92 ) )
= $true )
| ( ( m1_pboole @ ( k12_pboole @ SV92 @ SV213 @ SV290 ) @ SV92 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7462]) ).
thf(7611,plain,
! [SV93: $i] :
( ( ~ ~ ( v1_realset1 @ SV93 )
| ~ ! [SY530: $i,SY531: $i] :
~ ~ ( ~ ~ ( ~ ( r2_hidden @ SY530 @ SV93 )
| ~ ( r2_hidden @ SY531 @ SV93 ) )
| ~ ( ( SY530 != SY531 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7463]) ).
thf(7612,plain,
! [SV93: $i] :
( ( ~ ~ ! [SY532: $i] :
~ ~ ! [SY533: $i] :
~ ~ ( ~ ~ ( ~ ( r2_hidden @ SY532 @ SV93 )
| ~ ( r2_hidden @ SY533 @ SV93 ) )
| ~ ( ( SY532 != SY533 ) ) )
| ~ ( v1_realset1 @ SV93 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7464]) ).
thf(7613,plain,
( ( ~ ( v1_xboole_0 @ sK5_SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7465]) ).
thf(7614,plain,
( ( ~ ( v1_realset1 @ sK5_SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7466]) ).
thf(7615,plain,
! [SV214: $i,SV94: $i] :
( ( ( SV94 = k1_xboole_0 )
= $true )
| ( ( SV214 = k1_xboole_0 )
= $true )
| ( ( SV94 = SV214 )
= $true )
| ( ( ( k2_zfmisc_1 @ SV94 @ SV214 )
= ( k2_zfmisc_1 @ SV214 @ SV94 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7467]) ).
thf(7616,plain,
! [SV215: $i,SV95: $i] :
( ( ( ~ ( r2_hidden @ SV95 @ ( k1_ordinal1 @ SV215 ) ) )
= $true )
| ( ( ( r2_hidden @ SV95 @ SV215 )
| ( SV95 = SV215 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7468]) ).
thf(7617,plain,
! [SV215: $i,SV95: $i] :
( ( ( ~ ( ( r2_hidden @ SV95 @ SV215 )
| ( SV95 = SV215 ) ) )
= $true )
| ( ( r2_hidden @ SV95 @ ( k1_ordinal1 @ SV215 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7469]) ).
thf(7618,plain,
! [SV97: $i] :
( ( ( ~ ( r2_hidden @ ( sK15_SY536 @ SV97 ) @ SV97 )
| ( v3_ordinal1 @ ( sK15_SY536 @ SV97 ) ) )
= $false )
| ( ( ~ ( ~ ( v3_ordinal1 @ ( sK15_SY536 @ SV97 ) )
| ( r2_hidden @ ( sK15_SY536 @ SV97 ) @ SV97 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7471]) ).
thf(7619,plain,
! [SV217: $i,SV99: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ SV99 ) )
= $true )
| ( ( ~ ~ ( v1_xboole_0 @ SV217 ) )
= $true )
| ( ( ~ ( r1_subset_1 @ SV99 @ SV99 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7472]) ).
thf(7620,plain,
! [SV291: $i,SV100: $i,SV218: $i] :
( ( ( ~ ( m1_pboole @ SV218 @ SV100 )
| ~ ( m1_pboole @ SV291 @ SV100 ) )
= $true )
| ( ( ~ ( r4_pboole @ SV100 @ SV218 @ SV291 )
| ( r4_pboole @ SV100 @ SV291 @ SV218 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7473]) ).
thf(7621,plain,
! [SV317: $i,SV292: $i,SV219: $i,SV101: $i] :
( ( ( SV101 != SV219 )
= $false )
| ( ( ~ ( ( ( k1_funct_1 @ ( k4_funct_4 @ SV101 @ SV219 @ SV292 @ SV317 ) @ SV101 )
!= SV292 )
| ( ( k1_funct_1 @ ( k4_funct_4 @ SV101 @ SV219 @ SV292 @ SV317 ) @ SV219 )
!= SV317 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7474]) ).
thf(7622,plain,
! [SV220: $i,SV102: $i,SV327: $i] :
( ( ( ~ ( m2_pboole @ SV327 @ SV102 @ SV220 ) )
= $true )
| ( ( m1_pboole @ SV327 @ SV102 )
= $true )
| ( ( m1_pboole @ SV220 @ SV102 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7475]) ).
thf(7623,plain,
! [SV221: $i,SV103: $i] :
( ( ( r2_hidden @ SV103 @ SV221 )
= $false )
| ( ( ~ ! [SY736: $i] :
~ ~ ( ~ ( r2_hidden @ SY736 @ SV221 )
| ~ ! [SY737: $i] :
~ ~ ( ~ ( r2_hidden @ SY737 @ SV221 )
| ~ ( r2_hidden @ SY737 @ SY736 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7476]) ).
thf(7624,plain,
! [SV222: $i,SV104: $i,SV293: $i] :
( ( ( SV293
!= ( k4_xboole_0 @ SV104 @ SV222 ) )
| ! [SY818: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY818 @ SV293 )
| ~ ( ~ ( r2_hidden @ SY818 @ SV104 )
| ~ ~ ( r2_hidden @ SY818 @ SV222 ) ) )
| ~ ( ~ ~ ( ~ ( r2_hidden @ SY818 @ SV104 )
| ~ ~ ( r2_hidden @ SY818 @ SV222 ) )
| ( r2_hidden @ SY818 @ SV293 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7477]) ).
thf(7625,plain,
! [SV222: $i,SV104: $i,SV293: $i] :
( ( ~ ! [SY819: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY819 @ SV293 )
| ~ ( ~ ( r2_hidden @ SY819 @ SV104 )
| ~ ~ ( r2_hidden @ SY819 @ SV222 ) ) )
| ~ ( ~ ~ ( ~ ( r2_hidden @ SY819 @ SV104 )
| ~ ~ ( r2_hidden @ SY819 @ SV222 ) )
| ( r2_hidden @ SY819 @ SV293 ) ) )
| ( SV293
= ( k4_xboole_0 @ SV104 @ SV222 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7478]) ).
thf(7626,plain,
! [SV223: $i,SV105: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ SV105 ) )
= $true )
| ( ( ~ ~ ( v1_xboole_0 @ SV223 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ SV105 @ SV223 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7479]) ).
thf(7627,plain,
! [SV294: $i,SV106: $i,SV224: $i] :
( ( ( ~ ( m1_pboole @ SV224 @ SV106 )
| ~ ( m1_pboole @ SV294 @ SV106 ) )
= $true )
| ( ( m1_pboole @ ( k3_pboole @ SV106 @ SV224 @ SV294 ) @ SV106 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7480]) ).
thf(7628,plain,
! [SV295: $i,SV107: $i,SV225: $i] :
( ( ( ~ ( m1_pboole @ SV225 @ SV107 )
| ~ ( m1_pboole @ SV295 @ SV107 ) )
= $true )
| ( ( ( k5_pboole @ SV107 @ SV225 @ SV295 )
= ( k5_pboole @ SV107 @ SV295 @ SV225 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7481]) ).
thf(7629,plain,
! [SV226: $i,SV108: $i] :
( ( ( ~ ( ~ ( v1_xboole_0 @ SV108 )
| ~ ( ( SV108 != SV226 ) ) ) )
= $false )
| ( ( ~ ( v1_xboole_0 @ SV226 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7482]) ).
thf(7630,plain,
! [SV296: $i,SV228: $i,SV110: $i] :
( ( ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV110 )
| ~ ( m1_pboole @ SV228 @ SV110 ) )
| ~ ( m1_pboole @ SV296 @ SV110 ) )
= $true )
| ( ( ~ ( r3_pboole @ SV110 @ SV228 @ SV296 )
| ~ ( r3_pboole @ SV110 @ SV296 @ SV228 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7483]) ).
thf(7631,plain,
! [SV113: $i] :
( ( ~ ( m1_subset_1 @ ( sK16_SY563 @ SV113 ) @ ( k1_zfmisc_1 @ SV113 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7485]) ).
thf(7632,plain,
! [SV113: $i] :
( ( ~ ( v1_xboole_0 @ ( sK16_SY563 @ SV113 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7485]) ).
thf(7633,plain,
! [SV114: $i,SV230: $i] :
( ( ( ~ ( ( SV230 != k1_xboole_0 ) )
| ~ ! [SY744: $i] :
( ~ ( m1_subset_1 @ SY744 @ SV114 )
| ~ ( r2_hidden @ SY744 @ SV230 ) ) )
= $true )
| ( ( m1_subset_1 @ SV230 @ ( k1_zfmisc_1 @ SV114 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7486]) ).
thf(7634,plain,
! [SV115: $i] :
( ( ( SV115 = k1_xboole_0 )
= $false )
| ( ( ! [SY566: $i] :
~ ( r2_hidden @ SY566 @ SV115 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7487]) ).
thf(7635,plain,
! [SV115: $i] :
( ( ( ! [SY567: $i] :
~ ( r2_hidden @ SY567 @ SV115 ) )
= $false )
| ( ( SV115 = k1_xboole_0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7488]) ).
thf(7636,plain,
( ( v1_xboole_0 @ sK7_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7489]) ).
thf(7637,plain,
( ( v1_relat_1 @ sK7_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7490]) ).
thf(7638,plain,
! [SV231: $i,SV116: $i,SV328: $i] :
( ( ( ~ ( m1_pboole @ SV328 @ SV116 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( m2_pboole @ SV328 @ SV116 @ SV231 )
| ! [SY834: $i] :
( ~ ( r2_hidden @ SY834 @ SV116 )
| ( m1_subset_1 @ ( k1_funct_1 @ SV328 @ SY834 ) @ ( k1_funct_1 @ SV231 @ SY834 ) ) ) )
| ~ ( ~ ! [SY835: $i] :
( ~ ( r2_hidden @ SY835 @ SV116 )
| ( m1_subset_1 @ ( k1_funct_1 @ SV328 @ SY835 ) @ ( k1_funct_1 @ SV231 @ SY835 ) ) )
| ( m2_pboole @ SV328 @ SV116 @ SV231 ) ) ) )
= $true )
| ( ( m1_pboole @ SV231 @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7491]) ).
thf(7639,plain,
! [SV232: $i,SV117: $i,SV329: $i] :
( ( ( ~ ( m1_pboole @ SV329 @ SV117 ) )
= $true )
| ( ( ! [SY836: $i] :
( ~ ( m1_pboole @ SY836 @ SV117 )
| ~ ~ ( ~ ( r2_pboole @ SV117 @ SV232 @ SV329 )
| ~ ( r2_pboole @ SV117 @ SV329 @ SY836 ) )
| ( r2_pboole @ SV117 @ SV232 @ SY836 ) ) )
= $true )
| ( ( m1_pboole @ SV232 @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7492]) ).
thf(7640,plain,
! [SV233: $i,SV119: $i] :
( ( ( ~ ( r1_tarski @ SV119 @ SV233 ) )
= $true )
| ( ( ! [SY750: $i] :
( ~ ( r2_hidden @ SY750 @ SV119 )
| ( r2_hidden @ SY750 @ SV233 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7493]) ).
thf(7641,plain,
! [SV233: $i,SV119: $i] :
( ( ( ~ ! [SY751: $i] :
( ~ ( r2_hidden @ SY751 @ SV119 )
| ( r2_hidden @ SY751 @ SV233 ) ) )
= $true )
| ( ( r1_tarski @ SV119 @ SV233 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7494]) ).
thf(7642,plain,
! [SV120: $i,SV330: $i] :
( ( ( ~ ( m1_pboole @ SV330 @ SV120 ) )
= $true )
| ( ( ! [SY837: $i] :
( ~ ( m1_pboole @ SY837 @ SV120 )
| ( ( k1_funct_4 @ SV330 @ SY837 )
= SY837 ) ) )
= $true )
| ( ( v1_xboole_0 @ SV120 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7495]) ).
thf(7643,plain,
! [SV121: $i] :
( ( ( r2_wellord2 @ SV121 @ k1_xboole_0 )
= $false )
| ( ( SV121 = k1_xboole_0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7496]) ).
thf(7644,plain,
! [SV121: $i] :
( ( ( SV121 = k1_xboole_0 )
= $false )
| ( ( r2_wellord2 @ SV121 @ k1_xboole_0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7497]) ).
thf(7645,plain,
! [SV122: $i,SV331: $i] :
( ( ( ~ ( m1_pboole @ SV331 @ SV122 ) )
= $true )
| ( ( ! [SY838: $i] :
( ~ ( m1_subset_1 @ SY838 @ ( k2_relat_1 @ SV331 ) )
| ~ ! [SY839: $i] :
~ ~ ( ~ ( r2_hidden @ SY839 @ SV122 )
| ( SY838
!= ( k1_funct_1 @ SV331 @ SY839 ) ) ) ) )
= $true )
| ( ( v1_xboole_0 @ SV122 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7498]) ).
thf(7646,plain,
! [SV297: $i,SV234: $i,SV123: $i] :
( ( ( ~ ~ ( ~ ( r2_hidden @ SV123 @ SV234 )
| ~ ( r2_hidden @ SV234 @ SV297 ) ) )
= $true )
| ( ( ~ ( r2_hidden @ SV297 @ SV123 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7499]) ).
thf(7647,plain,
! [SV235: $i,SV124: $i] :
( ( ( ! [SY753: $i] :
( ~ ( m1_subset_1 @ SY753 @ SV124 )
| ( r2_hidden @ SY753 @ SV235 ) ) )
= $false )
| ( ( SV124 = SV235 )
= $true )
| ( ( m1_subset_1 @ SV235 @ ( k1_zfmisc_1 @ SV124 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7500]) ).
thf(7648,plain,
! [SV298: $i,SV125: $i,SV236: $i] :
( ( ( ~ ( m1_pboole @ SV236 @ SV125 )
| ~ ( m1_pboole @ SV298 @ SV125 ) )
= $true )
| ( ( r7_pboole @ SV125 @ SV236 @ SV236 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7501]) ).
thf(7649,plain,
! [SV237: $i,SV127: $i] :
( ( ( v1_xboole_0 @ ( k1_funct_2 @ SV127 @ SV237 ) )
= $false )
| ( ( v1_xboole_0 @ SV237 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7502]) ).
thf(7650,plain,
( ( ~ ( v1_xboole_0 @ sK8_SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7503]) ).
thf(7651,plain,
( ( v1_fraenkel @ sK8_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7504]) ).
thf(7652,plain,
! [SV238: $i,SV128: $i] :
( ( ( r2_hidden @ SV128 @ SV238 )
= $false )
| ( ( ~ ( r1_tarski @ SV238 @ SV128 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7505]) ).
thf(7653,plain,
! [SV239: $i,SV129: $i,SV332: $i] :
( ( ( ~ ( m1_subset_1 @ SV332 @ ( k1_zfmisc_1 @ SV129 ) ) )
= $true )
| ( ( ~ ! [SY840: $i] :
( ~ ( m1_subset_1 @ SY840 @ SV129 )
| ~ ( ~ ( ~ ( r2_hidden @ SY840 @ SV239 )
| ( r2_hidden @ SY840 @ SV332 ) )
| ~ ( ~ ( r2_hidden @ SY840 @ SV332 )
| ( r2_hidden @ SY840 @ SV239 ) ) ) )
| ( SV239 = SV332 ) )
= $true )
| ( ( m1_subset_1 @ SV239 @ ( k1_zfmisc_1 @ SV129 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7506]) ).
thf(7654,plain,
! [SV132: $i,SV241: $i] :
( ( ( ~ ( m2_pboole @ ( sK23_SY757 @ SV241 @ SV132 ) @ SV132 @ SV241 ) )
= $false )
| ( ( m1_pboole @ SV241 @ SV132 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[7508]) ).
thf(7655,plain,
! [SV242: $i,SV133: $i] :
( ( ( ~ ( ~ ( ( SV133
!= ( k1_tarski @ SV242 ) ) )
| ~ ( ( SV133 != k1_xboole_0 ) ) ) )
= $false )
| ( ( ~ ! [SY758: $i] :
~ ~ ( ~ ( r2_hidden @ SY758 @ SV133 )
| ~ ( ( SY758 != SV242 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7509]) ).
thf(7656,plain,
! [SV299: $i,SV243: $i,SV134: $i] :
( ( ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV134 )
| ~ ~ ( v1_xboole_0 @ SV243 ) )
| ~ ~ ( v1_xboole_0 @ SV299 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k3_zfmisc_1 @ SV134 @ SV243 @ SV299 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7510]) ).
thf(7657,plain,
! [SV135: $i,SV244: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK19_SY760 @ SV244 @ SV135 ) @ SV135 )
| ( r2_hidden @ ( sK19_SY760 @ SV244 @ SV135 ) @ SV244 ) )
| ~ ( ~ ( r2_hidden @ ( sK19_SY760 @ SV244 @ SV135 ) @ SV244 )
| ( r2_hidden @ ( sK19_SY760 @ SV244 @ SV135 ) @ SV135 ) ) )
= $true )
| ( ( SV135 = SV244 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7511]) ).
thf(7658,plain,
! [SV245: $i,SV136: $i,SV333: $i] :
( ( ( ~ ( m1_subset_1 @ SV333 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV136 ) ) ) )
= $true )
| ( ( ~ ! [SY841: $i] :
( ~ ( m1_subset_1 @ SY841 @ ( k1_zfmisc_1 @ SV136 ) )
| ~ ( ~ ( ~ ( r2_hidden @ SY841 @ SV245 )
| ( r2_hidden @ SY841 @ SV333 ) )
| ~ ( ~ ( r2_hidden @ SY841 @ SV333 )
| ( r2_hidden @ SY841 @ SV245 ) ) ) )
| ( SV245 = SV333 ) )
= $true )
| ( ( m1_subset_1 @ SV245 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV136 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7512]) ).
thf(7659,plain,
! [SV300: $i,SV137: $i,SV246: $i] :
( ( ( ~ ( m1_pboole @ SV246 @ SV137 )
| ~ ( m1_pboole @ SV300 @ SV137 ) )
= $true )
| ( ( r6_pboole @ SV137 @ SV246 @ SV246 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7513]) ).
thf(7660,plain,
! [SV247: $i,SV138: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ SV138 ) )
= $true )
| ( ( ~ ~ ( v1_xboole_0 @ SV247 ) )
= $true )
| ( ( ~ ( r2_subset_1 @ SV138 @ SV247 )
| ( r2_subset_1 @ SV247 @ SV138 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7514]) ).
thf(7661,plain,
( ( ~ ( v1_xboole_0 @ sK10_SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7515]) ).
thf(7662,plain,
( ( v1_realset1 @ sK10_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7516]) ).
thf(7663,plain,
! [SV139: $i,SV248: $i] :
( ( ( ~ ( ~ ( v2_relat_1 @ SV248 )
| ! [SY764: $i] :
~ ~ ( ~ ( r2_hidden @ SY764 @ SV139 )
| ~ ( v1_xboole_0 @ ( k1_funct_1 @ SV248 @ SY764 ) ) ) ) )
= $false )
| ( ( m1_pboole @ SV248 @ SV139 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7517]) ).
thf(7664,plain,
! [SV248: $i,SV139: $i] :
( ( ( ~ ( ~ ! [SY765: $i] :
~ ~ ( ~ ( r2_hidden @ SY765 @ SV139 )
| ~ ( v1_xboole_0 @ ( k1_funct_1 @ SV248 @ SY765 ) ) )
| ( v2_relat_1 @ SV248 ) ) )
= $false )
| ( ( m1_pboole @ SV248 @ SV139 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7517]) ).
thf(7665,plain,
! [SV249: $i,SV140: $i,SV301: $i] :
( ( ( SV301
!= ( k2_tarski @ SV140 @ SV249 ) )
| ! [SY820: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY820 @ SV301 )
| ( SY820 = SV140 )
| ( SY820 = SV249 ) )
| ~ ( ~ ( ( SY820 = SV140 )
| ( SY820 = SV249 ) )
| ( r2_hidden @ SY820 @ SV301 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7518]) ).
thf(7666,plain,
! [SV249: $i,SV140: $i,SV301: $i] :
( ( ~ ! [SY821: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY821 @ SV301 )
| ( SY821 = SV140 )
| ( SY821 = SV249 ) )
| ~ ( ~ ( ( SY821 = SV140 )
| ( SY821 = SV249 ) )
| ( r2_hidden @ SY821 @ SV301 ) ) )
| ( SV301
= ( k2_tarski @ SV140 @ SV249 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7519]) ).
thf(7667,plain,
! [SV302: $i,SV250: $i,SV141: $i] :
( ( ~ ( r2_hidden @ SV141 @ ( k5_xboole_0 @ SV250 @ SV302 ) )
| ~ ~ ( ~ ( ~ ( r2_hidden @ SV141 @ SV250 )
| ( r2_hidden @ SV141 @ SV302 ) )
| ~ ( ~ ( r2_hidden @ SV141 @ SV302 )
| ( r2_hidden @ SV141 @ SV250 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7520]) ).
thf(7668,plain,
! [SV302: $i,SV250: $i,SV141: $i] :
( ( ~ ~ ~ ( ~ ( ~ ( r2_hidden @ SV141 @ SV250 )
| ( r2_hidden @ SV141 @ SV302 ) )
| ~ ( ~ ( r2_hidden @ SV141 @ SV302 )
| ( r2_hidden @ SV141 @ SV250 ) ) )
| ( r2_hidden @ SV141 @ ( k5_xboole_0 @ SV250 @ SV302 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7521]) ).
thf(7669,plain,
! [SV303: $i,SV143: $i,SV252: $i] :
( ( ( ~ ( m1_pboole @ SV252 @ SV143 )
| ~ ( m1_pboole @ SV303 @ SV143 ) )
= $true )
| ( ( m1_pboole @ ( k5_pboole @ SV143 @ SV252 @ SV303 ) @ SV143 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7523]) ).
thf(7670,plain,
! [SV253: $i,SV144: $i,SV334: $i] :
( ( ( ~ ( m1_pboole @ SV334 @ SV144 ) )
= $true )
| ( ( ! [SY842: $i] :
( ~ ( m1_pboole @ SY842 @ SV144 )
| ~ ~ ( ~ ( r7_pboole @ SV144 @ SV253 @ SV334 )
| ~ ( r7_pboole @ SV144 @ SV334 @ SY842 ) )
| ( r7_pboole @ SV144 @ SV253 @ SY842 ) ) )
= $true )
| ( ( m1_pboole @ SV253 @ SV144 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7524]) ).
thf(7671,plain,
! [SV304: $i,SV145: $i,SV254: $i] :
( ( ( ~ ( m1_pboole @ SV254 @ SV145 )
| ~ ( m1_pboole @ SV304 @ SV145 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( r6_pboole @ SV145 @ SV254 @ SV304 )
| ( SV254 = SV304 ) )
| ~ ( ( SV254 != SV304 )
| ( r6_pboole @ SV145 @ SV254 @ SV304 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7525]) ).
thf(7672,plain,
! [SV146: $i] :
( ( ( ~ ~ ( ~ ( m1_subset_1 @ ( sK24_SY626 @ SV146 ) @ SV146 )
| ~ ~ ( v1_xboole_0 @ ( sK24_SY626 @ SV146 ) ) ) )
= $false )
| ( ( v2_setfam_1 @ SV146 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[7526]) ).
thf(7673,plain,
! [SV256: $i,SV148: $i] :
( ( ( ~ ( ( SV148 != k1_xboole_0 ) ) )
= $true )
| ( ( ~ ( ~ ( ( SV256
!= ( k1_setfam_1 @ SV148 ) )
| ! [SY774: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY774 @ SV256 )
| ! [SY630: $i] :
( ~ ( r2_hidden @ SY630 @ SV148 )
| ( r2_hidden @ SY774 @ SY630 ) ) )
| ~ ( ~ ! [SY631: $i] :
( ~ ( r2_hidden @ SY631 @ SV148 )
| ( r2_hidden @ SY774 @ SY631 ) )
| ( r2_hidden @ SY774 @ SV256 ) ) ) )
| ~ ( ~ ! [SY777: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY777 @ SV256 )
| ! [SY633: $i] :
( ~ ( r2_hidden @ SY633 @ SV148 )
| ( r2_hidden @ SY777 @ SY633 ) ) )
| ~ ( ~ ! [SY634: $i] :
( ~ ( r2_hidden @ SY634 @ SV148 )
| ( r2_hidden @ SY777 @ SY634 ) )
| ( r2_hidden @ SY777 @ SV256 ) ) )
| ( SV256
= ( k1_setfam_1 @ SV148 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7527]) ).
thf(7674,plain,
! [SV256: $i,SV148: $i] :
( ( ( SV148 != k1_xboole_0 )
= $true )
| ( ( ~ ( ~ ( ( SV256
!= ( k1_setfam_1 @ SV148 ) )
| ( SV256 = k1_xboole_0 ) )
| ~ ( ( SV256 != k1_xboole_0 )
| ( SV256
= ( k1_setfam_1 @ SV148 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7528]) ).
thf(7675,plain,
! [SV149: $i,SV257: $i] :
( ( ( SV257
!= ( k1_tarski @ SV149 ) )
= $true )
| ( ( ! [SY780: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY780 @ SV257 )
| ( SY780 = SV149 ) )
| ~ ( ( SY780 != SV149 )
| ( r2_hidden @ SY780 @ SV257 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7529]) ).
thf(7676,plain,
! [SV149: $i,SV257: $i] :
( ( ( ~ ! [SY781: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY781 @ SV257 )
| ( SY781 = SV149 ) )
| ~ ( ( SY781 != SV149 )
| ( r2_hidden @ SY781 @ SV257 ) ) ) )
= $true )
| ( ( SV257
= ( k1_tarski @ SV149 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7530]) ).
thf(7677,plain,
! [SV258: $i,SV150: $i] :
( ( ~ ( ~ ~ ( r1_xboole_0 @ SV150 @ SV258 )
| ~ ! [SY782: $i] :
~ ~ ( ~ ( r2_hidden @ SY782 @ SV150 )
| ~ ( r2_hidden @ SY782 @ SV258 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[7531]) ).
thf(7678,plain,
! [SV258: $i,SV150: $i] :
( ( ~ ( ~ ~ ! [SY783: $i] :
~ ~ ( ~ ( r2_hidden @ SY783 @ SV150 )
| ~ ( r2_hidden @ SY783 @ SV258 ) )
| ~ ( r1_xboole_0 @ SV150 @ SV258 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[7532]) ).
thf(7679,plain,
! [SV151: $i,SV259: $i] :
( ( ( SV259
!= ( k3_tarski @ SV151 ) )
= $true )
| ( ( ! [SY784: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY784 @ SV259 )
| ~ ! [SY643: $i] :
~ ~ ( ~ ( r2_hidden @ SY784 @ SY643 )
| ~ ( r2_hidden @ SY643 @ SV151 ) ) )
| ~ ( ~ ~ ! [SY644: $i] :
~ ~ ( ~ ( r2_hidden @ SY784 @ SY644 )
| ~ ( r2_hidden @ SY644 @ SV151 ) )
| ( r2_hidden @ SY784 @ SV259 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7533]) ).
thf(7680,plain,
! [SV151: $i,SV259: $i] :
( ( ( ~ ! [SY787: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY787 @ SV259 )
| ~ ! [SY646: $i] :
~ ~ ( ~ ( r2_hidden @ SY787 @ SY646 )
| ~ ( r2_hidden @ SY646 @ SV151 ) ) )
| ~ ( ~ ~ ! [SY647: $i] :
~ ~ ( ~ ( r2_hidden @ SY787 @ SY647 )
| ~ ( r2_hidden @ SY647 @ SV151 ) )
| ( r2_hidden @ SY787 @ SV259 ) ) ) )
= $true )
| ( ( SV259
= ( k3_tarski @ SV151 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7534]) ).
thf(7681,plain,
! [SV152: $i,SV260: $i] :
( ( ( v1_xboole_0 @ ( k2_xboole_0 @ SV260 @ SV152 ) )
= $false )
| ( ( v1_xboole_0 @ SV152 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7535]) ).
thf(7682,plain,
! [SV305: $i,SV153: $i,SV261: $i] :
( ( ( ~ ( m1_pboole @ SV261 @ SV153 )
| ~ ( m1_pboole @ SV305 @ SV153 ) )
= $true )
| ( ( ( k2_pboole @ SV153 @ SV261 @ SV261 )
= SV261 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7536]) ).
thf(7683,plain,
! [SV154: $i] :
( ( ( ~ ( v1_xboole_0 @ SV154 ) )
= $false )
| ( ( ~ ( v1_setfam_1 @ SV154 ) )
= $true )
| ( ( ! [SY651: $i] :
( ~ ( m1_subset_1 @ SY651 @ SV154 )
| ~ ( v1_xboole_0 @ SY651 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7537]) ).
thf(7684,plain,
! [SV158: $i] :
( ( ( v2_setfam_1 @ SV158 )
= $false )
| ( ( ! [SY653: $i] :
( ~ ~ ( v1_xboole_0 @ SY653 )
| ~ ( r2_hidden @ SY653 @ SV158 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7539]) ).
thf(7685,plain,
! [SV158: $i] :
( ( ( ! [SY654: $i] :
( ~ ~ ( v1_xboole_0 @ SY654 )
| ~ ( r2_hidden @ SY654 @ SV158 ) ) )
= $false )
| ( ( v2_setfam_1 @ SV158 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7540]) ).
thf(7686,plain,
! [SV262: $i,SV159: $i] :
( ( ( ( k2_zfmisc_1 @ SV159 @ SV262 )
!= k1_xboole_0 )
= $true )
| ( ( ( SV159 = k1_xboole_0 )
| ( SV262 = k1_xboole_0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7541]) ).
thf(7687,plain,
! [SV262: $i,SV159: $i] :
( ( ( ~ ( ( SV159 = k1_xboole_0 )
| ( SV262 = k1_xboole_0 ) ) )
= $true )
| ( ( ( k2_zfmisc_1 @ SV159 @ SV262 )
= k1_xboole_0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7542]) ).
thf(7688,plain,
! [SV160: $i] :
( ( ( v1_setfam_1 @ SV160 )
= $false )
| ( ( ~ ( r2_hidden @ k1_xboole_0 @ SV160 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7543]) ).
thf(7689,plain,
! [SV160: $i] :
( ( ( ~ ( r2_hidden @ k1_xboole_0 @ SV160 ) )
= $false )
| ( ( v1_setfam_1 @ SV160 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7544]) ).
thf(7690,plain,
! [SV306: $i,SV161: $i,SV263: $i] :
( ( ( ~ ( m1_pboole @ SV263 @ SV161 )
| ~ ( m1_pboole @ SV306 @ SV161 ) )
= $true )
| ( ( ~ ! [SY822: $i] :
~ ( m3_pboole @ SY822 @ SV161 @ SV263 @ SV306 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7545]) ).
thf(7691,plain,
! [SV162: $i,SV264: $i,SV307: $i] :
( ( ( ~ ( m2_relset_1 @ SV307 @ SV264 @ k1_xboole_0 ) )
= $true )
| ( ( SV307 = k1_xboole_0 )
= $true )
| ( ( m2_relset_1 @ SV307 @ SV264 @ SV162 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7546]) ).
thf(7692,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ( ~ ( ~ ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV163 )
| ~ ( ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) )
| ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) ) ) )
| ~ ( ~ ~ ( ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) )
| ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) ) )
| ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV163 ) ) ) )
= $false )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[7547]) ).
thf(7693,plain,
! [SV164: $i,SV335: $i] :
( ( ( ~ ( m1_subset_1 @ SV335 @ SV164 ) )
= $true )
| ( ( SV335
= ( k8_subset_1 @ SV164 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[7548]) ).
thf(7694,plain,
! [SV309: $i,SV165: $i,SV266: $i] :
( ( ( ~ ( m1_pboole @ SV266 @ SV165 )
| ~ ( m1_pboole @ SV309 @ SV165 ) )
= $true )
| ( ( ~ ( r6_pboole @ SV165 @ SV266 @ SV309 )
| ( r6_pboole @ SV165 @ SV309 @ SV266 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7549]) ).
thf(7695,plain,
! [SV318: $i,SV310: $i,SV267: $i,SV166: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV166 )
| ~ ~ ( v1_xboole_0 @ SV267 ) )
| ~ ~ ( v1_xboole_0 @ SV310 ) )
| ~ ~ ( v1_xboole_0 @ SV318 ) ) )
= $false )
| ( ( ~ ( v1_xboole_0 @ ( k4_zfmisc_1 @ SV166 @ SV267 @ SV310 @ SV318 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7550]) ).
thf(7696,plain,
! [SV167: $i,SV268: $i,SV311: $i] :
( ( ( ~ ( m2_relset_1 @ SV311 @ k1_xboole_0 @ SV268 ) )
= $true )
| ( ( SV311 = k1_xboole_0 )
= $true )
| ( ( m2_relset_1 @ SV311 @ SV167 @ SV268 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7551]) ).
thf(7697,plain,
( ( m1_subset_1 @ sK18_SY800 @ sK1_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7552]) ).
thf(7698,plain,
( ( ~ ~ ( r2_hidden @ sK18_SY800 @ ( k1_closure3 @ sK1_A @ sK11_SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7553]) ).
thf(7699,plain,
( ( ( k1_funct_1 @ sK11_SX0 @ sK18_SY800 )
= k1_xboole_0 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7553]) ).
thf(7700,plain,
! [SV168: $i,SV269: $i] :
( ( ( ~ ( ~ ( v3_relat_1 @ SV269 )
| ! [SY801: $i] :
( ~ ( r2_hidden @ SY801 @ SV168 )
| ( v1_xboole_0 @ ( k1_funct_1 @ SV269 @ SY801 ) ) ) ) )
= $false )
| ( ( m1_pboole @ SV269 @ SV168 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7554]) ).
thf(7701,plain,
! [SV269: $i,SV168: $i] :
( ( ( ~ ( ~ ! [SY802: $i] :
( ~ ( r2_hidden @ SY802 @ SV168 )
| ( v1_xboole_0 @ ( k1_funct_1 @ SV269 @ SY802 ) ) )
| ( v3_relat_1 @ SV269 ) ) )
= $false )
| ( ( m1_pboole @ SV269 @ SV168 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7554]) ).
thf(7702,plain,
! [SV336: $i,SV319: $i,SV176: $i,SV39: $i] :
( ( ( ( g2_struct_0 @ SV39 @ SV176 )
!= ( g2_struct_0 @ SV319 @ SV336 ) )
= $true )
| ( ( ~ ( ( SV39 != SV319 )
| ( SV176 != SV336 ) ) )
= $true )
| ( ( m1_subset_1 @ SV176 @ SV39 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7555]) ).
thf(7703,plain,
! [SV178: $i,SV41: $i,SV320: $i] :
( ( ( m4_pboole @ SV320 @ SV41 @ SV178 )
= $false )
| ( ( m1_pboole @ SV320 @ SV41 )
= $true )
| ( ( m1_pboole @ SV178 @ SV41 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7557]) ).
thf(7704,plain,
! [SV42: $i,SV179: $i] :
( ( ( m4_pboole @ ( sK20_SY678 @ SV179 @ SV42 ) @ SV42 @ SV179 )
= $true )
| ( ( m1_pboole @ SV179 @ SV42 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7558]) ).
thf(7705,plain,
( ( v1_xboole_0 @ sK2_SX0 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[7559]) ).
thf(7706,plain,
! [SV180: $i,SV43: $i,SV270: $i] :
( ( ( SV270
!= ( k3_xboole_0 @ SV43 @ SV180 ) )
= $true )
| ( ( ! [SY803: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY803 @ SV270 )
| ~ ( ~ ( r2_hidden @ SY803 @ SV43 )
| ~ ( r2_hidden @ SY803 @ SV180 ) ) )
| ~ ( ~ ~ ( ~ ( r2_hidden @ SY803 @ SV43 )
| ~ ( r2_hidden @ SY803 @ SV180 ) )
| ( r2_hidden @ SY803 @ SV270 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7561]) ).
thf(7707,plain,
! [SV180: $i,SV43: $i,SV270: $i] :
( ( ( ~ ! [SY804: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY804 @ SV270 )
| ~ ( ~ ( r2_hidden @ SY804 @ SV43 )
| ~ ( r2_hidden @ SY804 @ SV180 ) ) )
| ~ ( ~ ~ ( ~ ( r2_hidden @ SY804 @ SV43 )
| ~ ( r2_hidden @ SY804 @ SV180 ) )
| ( r2_hidden @ SY804 @ SV270 ) ) ) )
= $true )
| ( ( SV270
= ( k3_xboole_0 @ SV43 @ SV180 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7562]) ).
thf(7708,plain,
! [SV271: $i,SV44: $i,SV181: $i] :
( ( ( ~ ( m1_pboole @ SV181 @ SV44 ) )
= $true )
| ( ( ~ ( m1_pboole @ SV271 @ SV44 ) )
= $true )
| ( ( m1_pboole @ ( k11_pboole @ SV44 @ SV181 @ SV271 ) @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7563]) ).
thf(7709,plain,
! [SV272: $i,SV48: $i,SV183: $i] :
( ( ( ~ ( m1_pboole @ SV183 @ SV48 ) )
= $true )
| ( ( ~ ( m1_pboole @ SV272 @ SV48 ) )
= $true )
| ( ( ( k2_pboole @ SV48 @ SV183 @ SV272 )
= ( k2_pboole @ SV48 @ SV272 @ SV183 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7564]) ).
thf(7710,plain,
! [SV49: $i,SV338: $i] :
( ( ( ! [SY843: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ SV338 @ SV49 )
| ~ ( r2_hidden @ SY843 @ SV49 ) )
| ~ ~ ( r2_hidden @ SV338 @ SY843 ) )
| ~ ( ( SV338 != SY843 ) ) )
| ~ ~ ( r2_hidden @ SY843 @ SV338 ) ) )
= $true )
| ( ( v2_ordinal1 @ SV49 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7565]) ).
thf(7711,plain,
! [SV49: $i] :
( ( ( ! [SY844: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ ( sK26_SY444 @ SV49 ) @ SV49 )
| ~ ( r2_hidden @ SY844 @ SV49 ) )
| ~ ~ ( r2_hidden @ ( sK26_SY444 @ SV49 ) @ SY844 ) )
| ~ ( ( ( sK26_SY444 @ SV49 )
!= SY844 ) ) )
| ~ ~ ( r2_hidden @ SY844 @ ( sK26_SY444 @ SV49 ) ) ) )
= $false )
| ( ( v2_ordinal1 @ SV49 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[7566]) ).
thf(7712,plain,
! [SV312: $i,SV273: $i,SV184: $i,SV50: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ SV50 @ SV184 )
| ~ ( r2_hidden @ SV184 @ SV273 ) )
| ~ ( r2_hidden @ SV273 @ SV312 ) ) )
= $true )
| ( ( ~ ( r2_hidden @ SV312 @ SV50 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7567]) ).
thf(7713,plain,
! [SV274: $i,SV52: $i,SV185: $i] :
( ( ( ~ ( m1_pboole @ SV185 @ SV52 ) )
= $true )
| ( ( ~ ( m1_pboole @ SV274 @ SV52 ) )
= $true )
| ( ( ! [SY806: $i] :
( ~ ( m3_pboole @ SY806 @ SV52 @ SV185 @ SV274 )
| ( m1_pboole @ SY806 @ SV52 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7568]) ).
thf(7714,plain,
! [SV54: $i,SV186: $i] :
( ( ( m3_realset1 @ ( sK21_SY688 @ SV186 @ SV54 ) @ SV54 @ SV186 )
= $true )
| ( ( m1_subset_1 @ SV186 @ SV54 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7569]) ).
thf(7715,plain,
! [SV55: $i] :
( ( ( ~ ( ~ ( m1_subset_1 @ ( sK22_SY454 @ SV55 ) @ ( k1_zfmisc_1 @ SV55 ) )
| ~ ~ ( v1_xboole_0 @ ( sK22_SY454 @ SV55 ) ) ) )
= $true )
| ( ( v1_xboole_0 @ SV55 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7570]) ).
thf(7716,plain,
! [SV187: $i,SV57: $i] :
( ( ( ! [SY456: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY456 @ SV57 )
| ( p1_s3_xboole_0 @ SY456 ) )
| ~ ( ~ ( p1_s3_xboole_0 @ SY456 )
| ( r2_hidden @ SY456 @ SV57 ) ) ) )
= $false )
| ( ( ~ ! [SY690: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY690 @ SV187 )
| ( p1_s3_xboole_0 @ SY690 ) )
| ~ ( ~ ( p1_s3_xboole_0 @ SY690 )
| ( r2_hidden @ SY690 @ SV187 ) ) ) )
= $true )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7571]) ).
thf(7717,plain,
! [SV188: $i,SV58: $i] :
( ( ( ~ ( v1_xboole_0 @ SV58 ) )
= $false )
| ( ( ~ ~ ( v1_xboole_0 @ SV188 ) )
= $true )
| ( ( ~ ( r2_subset_1 @ SV58 @ SV58 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7572]) ).
thf(7718,plain,
! [SV59: $i,SV321: $i] :
( ( ( m1_pboole @ SV321 @ SV59 )
= $false )
| ( ( ! [SY829: $i] :
~ ( ~ ( ( SY829
!= ( k1_closure3 @ SV59 @ SV321 ) )
| ( SY829
= ( a_2_0_closure3 @ SV59 @ SV321 ) ) )
| ~ ( ( SY829
!= ( a_2_0_closure3 @ SV59 @ SV321 ) )
| ( SY829
= ( k1_closure3 @ SV59 @ SV321 ) ) ) ) )
= $true )
| ( ( v1_xboole_0 @ SV59 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7573]) ).
thf(7719,plain,
! [SV60: $i] :
( ( ( ~ ~ ( r1_xboole_0 @ SV60 @ SV60 ) )
= $true )
| ( ( SV60 != k1_xboole_0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7574]) ).
thf(7720,plain,
! [SV60: $i] :
( ( ( ~ ( ( SV60 != k1_xboole_0 ) ) )
= $true )
| ( ( ~ ( r1_xboole_0 @ SV60 @ SV60 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7575]) ).
thf(7721,plain,
! [SV275: $i,SV189: $i,SV61: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV61 )
| ~ ( v2_relat_1 @ SV189 ) )
| ~ ( m1_pboole @ SV189 @ SV61 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV275 @ SV61 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k1_funct_1 @ SV189 @ SV275 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7576]) ).
thf(7722,plain,
! [SV276: $i,SV62: $i,SV190: $i] :
( ( ( ~ ( m1_pboole @ SV190 @ SV62 ) )
= $true )
| ( ( ~ ( m1_pboole @ SV276 @ SV62 ) )
= $true )
| ( ( r2_pboole @ SV62 @ SV190 @ SV190 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7577]) ).
thf(7723,plain,
! [SV191: $i,SV63: $i,SV322: $i] :
( ( ( r2_hidden @ SV322 @ SV63 )
= $false )
| ( ( m1_subset_1 @ ( k1_funct_1 @ SV191 @ SV322 ) @ ( k2_relat_1 @ SV191 ) )
= $true )
| ( ( m1_pboole @ SV191 @ SV63 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7578]) ).
thf(7724,plain,
! [SV313: $i,SV64: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( r2_hidden @ SV64 @ SV313 )
| ~ ( ( SV64 != SV313 ) ) )
| ~ ~ ( r2_hidden @ SV313 @ SV64 ) ) )
= $false )
| ( ( v3_ordinal1 @ SV313 )
= $false )
| ( ( v3_ordinal1 @ SV64 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7579]) ).
thf(7725,plain,
! [SV65: $i,SV277: $i,SV192: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ SV192 ) )
= $true )
| ( ( ~ ( m1_pboole @ SV277 @ SV192 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( r2_hidden @ SV65 @ ( a_2_0_closure3 @ SV192 @ SV277 ) )
| ~ ! [SY807: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY807 @ SV192 )
| ( SV65 != SY807 ) )
| ~ ( ( ( k1_funct_1 @ SV277 @ SY807 )
!= k1_xboole_0 ) ) ) )
| ~ ( ~ ~ ! [SY808: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY808 @ SV192 )
| ( SV65 != SY808 ) )
| ~ ( ( ( k1_funct_1 @ SV277 @ SY808 )
!= k1_xboole_0 ) ) )
| ( r2_hidden @ SV65 @ ( a_2_0_closure3 @ SV192 @ SV277 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7580]) ).
thf(7726,plain,
! [SV193: $i,SV66: $i] :
( ( ( ~ ( v1_xboole_0 @ SV66 ) )
= $false )
| ( ( ~ ~ ( v1_xboole_0 @ SV193 ) )
= $true )
| ( ( ~ ( r1_subset_1 @ SV66 @ SV193 )
| ( r1_subset_1 @ SV193 @ SV66 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7581]) ).
thf(7727,plain,
( ( v1_xboole_0 @ sK3_SX0 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[7582]) ).
thf(7728,plain,
! [SV314: $i,SV278: $i,SV194: $i,SV68: $i] :
( ( ( ( SV68 = k1_xboole_0 )
| ( SV194 = k1_xboole_0 ) )
= $true )
| ( ( ~ ( ( SV68 != SV278 )
| ( SV194 != SV314 ) ) )
= $true )
| ( ( ( k2_zfmisc_1 @ SV68 @ SV194 )
= ( k2_zfmisc_1 @ SV278 @ SV314 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7584]) ).
thf(7729,plain,
! [SV279: $i,SV69: $i,SV195: $i] :
( ( ( ~ ( m1_pboole @ SV195 @ SV69 ) )
= $true )
| ( ( ~ ( m1_pboole @ SV279 @ SV69 ) )
= $true )
| ( ( m1_pboole @ ( k2_pboole @ SV69 @ SV195 @ SV279 ) @ SV69 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7585]) ).
thf(7730,plain,
! [SV280: $i,SV72: $i,SV197: $i] :
( ( ( ~ ( m1_pboole @ SV197 @ SV72 ) )
= $true )
| ( ( ~ ( m1_pboole @ SV280 @ SV72 ) )
= $true )
| ( ( m1_pboole @ ( k4_pboole @ SV72 @ SV197 @ SV280 ) @ SV72 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7589]) ).
thf(7731,plain,
! [SV198: $i,SV73: $i] :
( ( ( ~ ( ~ ! [SY482: $i] :
~ ~ ( ~ ( r2_hidden @ SY482 @ SV73 )
| ~ ! [SX3: $i,SX4: $i] :
( SY482
!= ( k4_tarski @ SX3 @ SX4 ) ) )
| ~ ! [SY704: $i] :
~ ~ ( ~ ( r2_hidden @ SY704 @ SV198 )
| ~ ! [SX3: $i,SX4: $i] :
( SY704
!= ( k4_tarski @ SX3 @ SX4 ) ) ) ) )
= $false )
| ( ( ~ ! [SY707: $i,SY708: $i] :
~ ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 ) )
| ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 ) ) ) )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7590]) ).
thf(7732,plain,
! [SV74: $i,SV199: $i] :
( ( ( ~ ( r2_hidden @ ( sK27_SY709 @ SV199 @ SV74 ) @ SV74 )
| ( ( k1_funct_1 @ SV199 @ ( sK27_SY709 @ SV199 @ SV74 ) )
= k1_xboole_0 ) )
= $false )
| ( ( SV199
= ( k1_pboole @ SV74 ) )
= $true )
| ( ( m1_pboole @ SV199 @ SV74 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[7591]) ).
thf(7733,plain,
! [SV75: $i] :
( ( m1_finseq_2 @ ( sK13_SY492 @ SV75 ) @ SV75 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7592]) ).
thf(7734,plain,
! [SV75: $i] :
( ( ~ ( v1_xboole_0 @ ( sK13_SY492 @ SV75 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7593]) ).
thf(7735,plain,
! [SV200: $i,SV76: $i,SV323: $i] :
( ( ( m1_pboole @ SV323 @ SV76 )
= $false )
| ( ( ~ ( ~ ( ~ ( r1_pboole @ SV76 @ SV200 @ SV323 )
| ! [SY830: $i] :
( ~ ( r2_hidden @ SY830 @ SV76 )
| ( r2_hidden @ ( k1_funct_1 @ SV200 @ SY830 ) @ ( k1_funct_1 @ SV323 @ SY830 ) ) ) )
| ~ ( ~ ! [SY831: $i] :
( ~ ( r2_hidden @ SY831 @ SV76 )
| ( r2_hidden @ ( k1_funct_1 @ SV200 @ SY831 ) @ ( k1_funct_1 @ SV323 @ SY831 ) ) )
| ( r1_pboole @ SV76 @ SV200 @ SV323 ) ) ) )
= $true )
| ( ( m1_pboole @ SV200 @ SV76 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7594]) ).
thf(7736,plain,
! [SV281: $i,SV77: $i,SV201: $i] :
( ( ( ~ ( m1_pboole @ SV201 @ SV77 ) )
= $true )
| ( ( ~ ( m1_pboole @ SV281 @ SV77 ) )
= $true )
| ( ( ( k3_pboole @ SV77 @ SV201 @ SV201 )
= SV201 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7595]) ).
thf(7737,plain,
! [SV283: $i,SV203: $i,SV79: $i] :
( ( ( ~ ( ~ ( r2_hidden @ SV79 @ SV203 )
| ~ ( m1_subset_1 @ SV203 @ ( k1_zfmisc_1 @ SV283 ) ) ) )
= $false )
| ( ( ~ ( v1_xboole_0 @ SV283 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7596]) ).
thf(7738,plain,
( ( v1_xboole_0 @ sK4_SX0 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[7597]) ).
thf(7739,plain,
! [SV324: $i,SV315: $i,SV284: $i,SV204: $i,SV80: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ SV80 @ SV204 )
| ~ ( r2_hidden @ SV204 @ SV284 ) )
| ~ ( r2_hidden @ SV284 @ SV315 ) )
| ~ ( r2_hidden @ SV315 @ SV324 ) )
| ~ ( r2_hidden @ SV324 @ SV80 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7599]) ).
thf(7740,plain,
! [SV285: $i,SV81: $i,SV205: $i] :
( ( ( ~ ( m1_pboole @ SV205 @ SV81 ) )
= $true )
| ( ( ~ ( m1_pboole @ SV285 @ SV81 ) )
= $true )
| ( ( ~ ( r5_pboole @ SV81 @ SV205 @ SV285 )
| ( r5_pboole @ SV81 @ SV285 @ SV205 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7600]) ).
thf(7741,plain,
! [SV206: $i,SV82: $i,SV286: $i] :
( ( ( SV286
!= ( k2_xboole_0 @ SV82 @ SV206 ) )
= $true )
| ( ( ! [SY812: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY812 @ SV286 )
| ( r2_hidden @ SY812 @ SV82 )
| ( r2_hidden @ SY812 @ SV206 ) )
| ~ ( ~ ( ( r2_hidden @ SY812 @ SV82 )
| ( r2_hidden @ SY812 @ SV206 ) )
| ( r2_hidden @ SY812 @ SV286 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7601]) ).
thf(7742,plain,
! [SV206: $i,SV82: $i,SV286: $i] :
( ( ( ~ ! [SY813: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY813 @ SV286 )
| ( r2_hidden @ SY813 @ SV82 )
| ( r2_hidden @ SY813 @ SV206 ) )
| ~ ( ~ ( ( r2_hidden @ SY813 @ SV82 )
| ( r2_hidden @ SY813 @ SV206 ) )
| ( r2_hidden @ SY813 @ SV286 ) ) ) )
= $true )
| ( ( SV286
= ( k2_xboole_0 @ SV82 @ SV206 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7602]) ).
thf(7743,plain,
! [SV337: $i,SV325: $i,SV316: $i,SV287: $i,SV207: $i,SV84: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ SV84 @ SV207 )
| ~ ( r2_hidden @ SV207 @ SV287 ) )
| ~ ( r2_hidden @ SV287 @ SV316 ) )
| ~ ( r2_hidden @ SV316 @ SV325 ) )
| ~ ( r2_hidden @ SV325 @ SV337 ) )
| ~ ( r2_hidden @ SV337 @ SV84 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[7603]) ).
thf(7744,plain,
! [SV208: $i,SV85: $i] :
( ( ( ~ ( v1_xboole_0 @ SV85 ) )
= $false )
| ( ( ~ ( ~ ( ~ ( m1_subset_1 @ SV208 @ SV85 )
| ( r2_hidden @ SV208 @ SV85 ) )
| ~ ( ~ ( r2_hidden @ SV208 @ SV85 )
| ( m1_subset_1 @ SV208 @ SV85 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7604]) ).
thf(7745,plain,
! [SV208: $i,SV85: $i] :
( ( ( v1_xboole_0 @ SV85 )
= $false )
| ( ( ~ ( ~ ( ~ ( m1_subset_1 @ SV208 @ SV85 )
| ( v1_xboole_0 @ SV208 ) )
| ~ ( ~ ( v1_xboole_0 @ SV208 )
| ( m1_subset_1 @ SV208 @ SV85 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7605]) ).
thf(7746,plain,
! [SV288: $i,SV86: $i,SV209: $i] :
( ( ( ~ ( m1_pboole @ SV209 @ SV86 ) )
= $true )
| ( ( ~ ( m1_pboole @ SV288 @ SV86 ) )
= $true )
| ( ( ( k3_pboole @ SV86 @ SV209 @ SV288 )
= ( k3_pboole @ SV86 @ SV288 @ SV209 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7606]) ).
thf(7747,plain,
! [SV89: $i,SV210: $i] :
( ( ( v1_xboole_0 @ SV210 )
= $false )
| ( ( r2_hidden @ SV89 @ SV210 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7607]) ).
thf(7748,plain,
! [SV211: $i,SV90: $i,SV326: $i] :
( ( ( m1_pboole @ SV326 @ SV90 )
= $false )
| ( ( ~ ! [SY833: $i] :
( ~ ( r2_hidden @ SY833 @ SV90 )
| ( ( k1_funct_1 @ SV211 @ SY833 )
= ( k1_funct_1 @ SV326 @ SY833 ) ) )
| ( SV211 = SV326 ) )
= $true )
| ( ( m1_pboole @ SV211 @ SV90 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7608]) ).
thf(7749,plain,
! [SV289: $i,SV212: $i,SV91: $i] :
( ( ( ~ ( r2_hidden @ SV91 @ SV212 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV212 @ ( k1_zfmisc_1 @ SV289 ) ) )
= $true )
| ( ( m1_subset_1 @ SV91 @ SV289 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7609]) ).
thf(7750,plain,
! [SV290: $i,SV92: $i,SV213: $i] :
( ( ( ~ ( m1_pboole @ SV213 @ SV92 ) )
= $true )
| ( ( ~ ( m1_pboole @ SV290 @ SV92 ) )
= $true )
| ( ( m1_pboole @ ( k12_pboole @ SV92 @ SV213 @ SV290 ) @ SV92 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7610]) ).
thf(7751,plain,
! [SV93: $i] :
( ( ( ~ ~ ( v1_realset1 @ SV93 ) )
= $true )
| ( ( ~ ! [SY530: $i,SY531: $i] :
~ ~ ( ~ ~ ( ~ ( r2_hidden @ SY530 @ SV93 )
| ~ ( r2_hidden @ SY531 @ SV93 ) )
| ~ ( ( SY530 != SY531 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7611]) ).
thf(7752,plain,
! [SV93: $i] :
( ( ( ~ ~ ! [SY532: $i] :
~ ~ ! [SY533: $i] :
~ ~ ( ~ ~ ( ~ ( r2_hidden @ SY532 @ SV93 )
| ~ ( r2_hidden @ SY533 @ SV93 ) )
| ~ ( ( SY532 != SY533 ) ) ) )
= $true )
| ( ( ~ ( v1_realset1 @ SV93 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7612]) ).
thf(7753,plain,
( ( v1_xboole_0 @ sK5_SX0 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[7613]) ).
thf(7754,plain,
( ( v1_realset1 @ sK5_SX0 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[7614]) ).
thf(7755,plain,
! [SV215: $i,SV95: $i] :
( ( ( r2_hidden @ SV95 @ ( k1_ordinal1 @ SV215 ) )
= $false )
| ( ( ( r2_hidden @ SV95 @ SV215 )
| ( SV95 = SV215 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7616]) ).
thf(7756,plain,
! [SV215: $i,SV95: $i] :
( ( ( ( r2_hidden @ SV95 @ SV215 )
| ( SV95 = SV215 ) )
= $false )
| ( ( r2_hidden @ SV95 @ ( k1_ordinal1 @ SV215 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7617]) ).
thf(7757,plain,
! [SV97: $i] :
( ( ( ~ ( r2_hidden @ ( sK15_SY536 @ SV97 ) @ SV97 ) )
= $false )
| ( ( ~ ( ~ ( v3_ordinal1 @ ( sK15_SY536 @ SV97 ) )
| ( r2_hidden @ ( sK15_SY536 @ SV97 ) @ SV97 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[7618]) ).
thf(7758,plain,
! [SV97: $i] :
( ( ( v3_ordinal1 @ ( sK15_SY536 @ SV97 ) )
= $false )
| ( ( ~ ( ~ ( v3_ordinal1 @ ( sK15_SY536 @ SV97 ) )
| ( r2_hidden @ ( sK15_SY536 @ SV97 ) @ SV97 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[7618]) ).
thf(7759,plain,
! [SV217: $i,SV99: $i] :
( ( ( ~ ( v1_xboole_0 @ SV99 ) )
= $false )
| ( ( ~ ~ ( v1_xboole_0 @ SV217 ) )
= $true )
| ( ( ~ ( r1_subset_1 @ SV99 @ SV99 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7619]) ).
thf(7760,plain,
! [SV291: $i,SV100: $i,SV218: $i] :
( ( ( ~ ( m1_pboole @ SV218 @ SV100 ) )
= $true )
| ( ( ~ ( m1_pboole @ SV291 @ SV100 ) )
= $true )
| ( ( ~ ( r4_pboole @ SV100 @ SV218 @ SV291 )
| ( r4_pboole @ SV100 @ SV291 @ SV218 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7620]) ).
thf(7761,plain,
! [SV317: $i,SV292: $i,SV219: $i,SV101: $i] :
( ( ( SV101 = SV219 )
= $true )
| ( ( ~ ( ( ( k1_funct_1 @ ( k4_funct_4 @ SV101 @ SV219 @ SV292 @ SV317 ) @ SV101 )
!= SV292 )
| ( ( k1_funct_1 @ ( k4_funct_4 @ SV101 @ SV219 @ SV292 @ SV317 ) @ SV219 )
!= SV317 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7621]) ).
thf(7762,plain,
! [SV220: $i,SV102: $i,SV327: $i] :
( ( ( m2_pboole @ SV327 @ SV102 @ SV220 )
= $false )
| ( ( m1_pboole @ SV327 @ SV102 )
= $true )
| ( ( m1_pboole @ SV220 @ SV102 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7622]) ).
thf(7763,plain,
! [SV103: $i,SV221: $i] :
( ( ( ! [SY736: $i] :
~ ~ ( ~ ( r2_hidden @ SY736 @ SV221 )
| ~ ! [SY737: $i] :
~ ~ ( ~ ( r2_hidden @ SY737 @ SV221 )
| ~ ( r2_hidden @ SY737 @ SY736 ) ) ) )
= $false )
| ( ( r2_hidden @ SV103 @ SV221 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7623]) ).
thf(7764,plain,
! [SV222: $i,SV104: $i,SV293: $i] :
( ( ( SV293
!= ( k4_xboole_0 @ SV104 @ SV222 ) )
= $true )
| ( ( ! [SY818: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY818 @ SV293 )
| ~ ( ~ ( r2_hidden @ SY818 @ SV104 )
| ~ ~ ( r2_hidden @ SY818 @ SV222 ) ) )
| ~ ( ~ ~ ( ~ ( r2_hidden @ SY818 @ SV104 )
| ~ ~ ( r2_hidden @ SY818 @ SV222 ) )
| ( r2_hidden @ SY818 @ SV293 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7624]) ).
thf(7765,plain,
! [SV222: $i,SV104: $i,SV293: $i] :
( ( ( ~ ! [SY819: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY819 @ SV293 )
| ~ ( ~ ( r2_hidden @ SY819 @ SV104 )
| ~ ~ ( r2_hidden @ SY819 @ SV222 ) ) )
| ~ ( ~ ~ ( ~ ( r2_hidden @ SY819 @ SV104 )
| ~ ~ ( r2_hidden @ SY819 @ SV222 ) )
| ( r2_hidden @ SY819 @ SV293 ) ) ) )
= $true )
| ( ( SV293
= ( k4_xboole_0 @ SV104 @ SV222 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7625]) ).
thf(7766,plain,
! [SV223: $i,SV105: $i] :
( ( ( ~ ( v1_xboole_0 @ SV105 ) )
= $false )
| ( ( ~ ~ ( v1_xboole_0 @ SV223 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ SV105 @ SV223 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7626]) ).
thf(7767,plain,
! [SV294: $i,SV106: $i,SV224: $i] :
( ( ( ~ ( m1_pboole @ SV224 @ SV106 ) )
= $true )
| ( ( ~ ( m1_pboole @ SV294 @ SV106 ) )
= $true )
| ( ( m1_pboole @ ( k3_pboole @ SV106 @ SV224 @ SV294 ) @ SV106 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7627]) ).
thf(7768,plain,
! [SV295: $i,SV107: $i,SV225: $i] :
( ( ( ~ ( m1_pboole @ SV225 @ SV107 ) )
= $true )
| ( ( ~ ( m1_pboole @ SV295 @ SV107 ) )
= $true )
| ( ( ( k5_pboole @ SV107 @ SV225 @ SV295 )
= ( k5_pboole @ SV107 @ SV295 @ SV225 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7628]) ).
thf(7769,plain,
! [SV226: $i,SV108: $i] :
( ( ( ~ ( v1_xboole_0 @ SV108 )
| ~ ( ( SV108 != SV226 ) ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV226 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7629]) ).
thf(7770,plain,
! [SV296: $i,SV228: $i,SV110: $i] :
( ( ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV110 )
| ~ ( m1_pboole @ SV228 @ SV110 ) ) )
= $true )
| ( ( ~ ( m1_pboole @ SV296 @ SV110 ) )
= $true )
| ( ( ~ ( r3_pboole @ SV110 @ SV228 @ SV296 )
| ~ ( r3_pboole @ SV110 @ SV296 @ SV228 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7630]) ).
thf(7771,plain,
! [SV113: $i] :
( ( m1_subset_1 @ ( sK16_SY563 @ SV113 ) @ ( k1_zfmisc_1 @ SV113 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7631]) ).
thf(7772,plain,
! [SV113: $i] :
( ( v1_xboole_0 @ ( sK16_SY563 @ SV113 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7632]) ).
thf(7773,plain,
! [SV114: $i,SV230: $i] :
( ( ( ~ ( ( SV230 != k1_xboole_0 ) ) )
= $true )
| ( ( ~ ! [SY744: $i] :
( ~ ( m1_subset_1 @ SY744 @ SV114 )
| ~ ( r2_hidden @ SY744 @ SV230 ) ) )
= $true )
| ( ( m1_subset_1 @ SV230 @ ( k1_zfmisc_1 @ SV114 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7633]) ).
thf(7774,plain,
! [SV115: $i,SV339: $i] :
( ( ( ~ ( r2_hidden @ SV339 @ SV115 ) )
= $true )
| ( ( SV115 = k1_xboole_0 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7634]) ).
thf(7775,plain,
! [SV115: $i] :
( ( ( ~ ( r2_hidden @ ( sK28_SY567 @ SV115 ) @ SV115 ) )
= $false )
| ( ( SV115 = k1_xboole_0 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[7635]) ).
thf(7776,plain,
! [SV231: $i,SV116: $i,SV328: $i] :
( ( ( m1_pboole @ SV328 @ SV116 )
= $false )
| ( ( ~ ( ~ ( ~ ( m2_pboole @ SV328 @ SV116 @ SV231 )
| ! [SY834: $i] :
( ~ ( r2_hidden @ SY834 @ SV116 )
| ( m1_subset_1 @ ( k1_funct_1 @ SV328 @ SY834 ) @ ( k1_funct_1 @ SV231 @ SY834 ) ) ) )
| ~ ( ~ ! [SY835: $i] :
( ~ ( r2_hidden @ SY835 @ SV116 )
| ( m1_subset_1 @ ( k1_funct_1 @ SV328 @ SY835 ) @ ( k1_funct_1 @ SV231 @ SY835 ) ) )
| ( m2_pboole @ SV328 @ SV116 @ SV231 ) ) ) )
= $true )
| ( ( m1_pboole @ SV231 @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7638]) ).
thf(7777,plain,
! [SV232: $i,SV117: $i,SV329: $i] :
( ( ( m1_pboole @ SV329 @ SV117 )
= $false )
| ( ( ! [SY836: $i] :
( ~ ( m1_pboole @ SY836 @ SV117 )
| ~ ~ ( ~ ( r2_pboole @ SV117 @ SV232 @ SV329 )
| ~ ( r2_pboole @ SV117 @ SV329 @ SY836 ) )
| ( r2_pboole @ SV117 @ SV232 @ SY836 ) ) )
= $true )
| ( ( m1_pboole @ SV232 @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7639]) ).
thf(7778,plain,
! [SV233: $i,SV119: $i] :
( ( ( r1_tarski @ SV119 @ SV233 )
= $false )
| ( ( ! [SY750: $i] :
( ~ ( r2_hidden @ SY750 @ SV119 )
| ( r2_hidden @ SY750 @ SV233 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7640]) ).
thf(7779,plain,
! [SV233: $i,SV119: $i] :
( ( ( ! [SY751: $i] :
( ~ ( r2_hidden @ SY751 @ SV119 )
| ( r2_hidden @ SY751 @ SV233 ) ) )
= $false )
| ( ( r1_tarski @ SV119 @ SV233 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7641]) ).
thf(7780,plain,
! [SV120: $i,SV330: $i] :
( ( ( m1_pboole @ SV330 @ SV120 )
= $false )
| ( ( ! [SY837: $i] :
( ~ ( m1_pboole @ SY837 @ SV120 )
| ( ( k1_funct_4 @ SV330 @ SY837 )
= SY837 ) ) )
= $true )
| ( ( v1_xboole_0 @ SV120 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7642]) ).
thf(7781,plain,
! [SV122: $i,SV331: $i] :
( ( ( m1_pboole @ SV331 @ SV122 )
= $false )
| ( ( ! [SY838: $i] :
( ~ ( m1_subset_1 @ SY838 @ ( k2_relat_1 @ SV331 ) )
| ~ ! [SY839: $i] :
~ ~ ( ~ ( r2_hidden @ SY839 @ SV122 )
| ( SY838
!= ( k1_funct_1 @ SV331 @ SY839 ) ) ) ) )
= $true )
| ( ( v1_xboole_0 @ SV122 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7645]) ).
thf(7782,plain,
! [SV297: $i,SV234: $i,SV123: $i] :
( ( ( ~ ( ~ ( r2_hidden @ SV123 @ SV234 )
| ~ ( r2_hidden @ SV234 @ SV297 ) ) )
= $false )
| ( ( ~ ( r2_hidden @ SV297 @ SV123 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7646]) ).
thf(7783,plain,
! [SV124: $i,SV235: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK29_SY753 @ SV235 @ SV124 ) @ SV124 )
| ( r2_hidden @ ( sK29_SY753 @ SV235 @ SV124 ) @ SV235 ) )
= $false )
| ( ( SV124 = SV235 )
= $true )
| ( ( m1_subset_1 @ SV235 @ ( k1_zfmisc_1 @ SV124 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[7647]) ).
thf(7784,plain,
! [SV298: $i,SV125: $i,SV236: $i] :
( ( ( ~ ( m1_pboole @ SV236 @ SV125 ) )
= $true )
| ( ( ~ ( m1_pboole @ SV298 @ SV125 ) )
= $true )
| ( ( r7_pboole @ SV125 @ SV236 @ SV236 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7648]) ).
thf(7785,plain,
( ( v1_xboole_0 @ sK8_SX0 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[7650]) ).
thf(7786,plain,
! [SV128: $i,SV238: $i] :
( ( ( r1_tarski @ SV238 @ SV128 )
= $false )
| ( ( r2_hidden @ SV128 @ SV238 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7652]) ).
thf(7787,plain,
! [SV239: $i,SV129: $i,SV332: $i] :
( ( ( m1_subset_1 @ SV332 @ ( k1_zfmisc_1 @ SV129 ) )
= $false )
| ( ( ~ ! [SY840: $i] :
( ~ ( m1_subset_1 @ SY840 @ SV129 )
| ~ ( ~ ( ~ ( r2_hidden @ SY840 @ SV239 )
| ( r2_hidden @ SY840 @ SV332 ) )
| ~ ( ~ ( r2_hidden @ SY840 @ SV332 )
| ( r2_hidden @ SY840 @ SV239 ) ) ) )
| ( SV239 = SV332 ) )
= $true )
| ( ( m1_subset_1 @ SV239 @ ( k1_zfmisc_1 @ SV129 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7653]) ).
thf(7788,plain,
! [SV132: $i,SV241: $i] :
( ( ( m2_pboole @ ( sK23_SY757 @ SV241 @ SV132 ) @ SV132 @ SV241 )
= $true )
| ( ( m1_pboole @ SV241 @ SV132 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7654]) ).
thf(7789,plain,
! [SV242: $i,SV133: $i] :
( ( ( ~ ( ( SV133
!= ( k1_tarski @ SV242 ) ) )
| ~ ( ( SV133 != k1_xboole_0 ) ) )
= $true )
| ( ( ~ ! [SY758: $i] :
~ ~ ( ~ ( r2_hidden @ SY758 @ SV133 )
| ~ ( ( SY758 != SV242 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7655]) ).
thf(7790,plain,
! [SV299: $i,SV243: $i,SV134: $i] :
( ( ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV134 )
| ~ ~ ( v1_xboole_0 @ SV243 ) ) )
= $true )
| ( ( ~ ~ ( v1_xboole_0 @ SV299 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k3_zfmisc_1 @ SV134 @ SV243 @ SV299 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7656]) ).
thf(7791,plain,
! [SV135: $i,SV244: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK19_SY760 @ SV244 @ SV135 ) @ SV135 )
| ( r2_hidden @ ( sK19_SY760 @ SV244 @ SV135 ) @ SV244 ) ) )
= $true )
| ( ( ~ ( ~ ( r2_hidden @ ( sK19_SY760 @ SV244 @ SV135 ) @ SV244 )
| ( r2_hidden @ ( sK19_SY760 @ SV244 @ SV135 ) @ SV135 ) ) )
= $true )
| ( ( SV135 = SV244 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7657]) ).
thf(7792,plain,
! [SV245: $i,SV136: $i,SV333: $i] :
( ( ( m1_subset_1 @ SV333 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV136 ) ) )
= $false )
| ( ( ~ ! [SY841: $i] :
( ~ ( m1_subset_1 @ SY841 @ ( k1_zfmisc_1 @ SV136 ) )
| ~ ( ~ ( ~ ( r2_hidden @ SY841 @ SV245 )
| ( r2_hidden @ SY841 @ SV333 ) )
| ~ ( ~ ( r2_hidden @ SY841 @ SV333 )
| ( r2_hidden @ SY841 @ SV245 ) ) ) )
| ( SV245 = SV333 ) )
= $true )
| ( ( m1_subset_1 @ SV245 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV136 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7658]) ).
thf(7793,plain,
! [SV300: $i,SV137: $i,SV246: $i] :
( ( ( ~ ( m1_pboole @ SV246 @ SV137 ) )
= $true )
| ( ( ~ ( m1_pboole @ SV300 @ SV137 ) )
= $true )
| ( ( r6_pboole @ SV137 @ SV246 @ SV246 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7659]) ).
thf(7794,plain,
! [SV247: $i,SV138: $i] :
( ( ( ~ ( v1_xboole_0 @ SV138 ) )
= $false )
| ( ( ~ ~ ( v1_xboole_0 @ SV247 ) )
= $true )
| ( ( ~ ( r2_subset_1 @ SV138 @ SV247 )
| ( r2_subset_1 @ SV247 @ SV138 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7660]) ).
thf(7795,plain,
( ( v1_xboole_0 @ sK10_SX0 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[7661]) ).
thf(7796,plain,
! [SV139: $i,SV248: $i] :
( ( ( ~ ( v2_relat_1 @ SV248 )
| ! [SY764: $i] :
~ ~ ( ~ ( r2_hidden @ SY764 @ SV139 )
| ~ ( v1_xboole_0 @ ( k1_funct_1 @ SV248 @ SY764 ) ) ) )
= $true )
| ( ( m1_pboole @ SV248 @ SV139 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7663]) ).
thf(7797,plain,
! [SV248: $i,SV139: $i] :
( ( ( ~ ! [SY765: $i] :
~ ~ ( ~ ( r2_hidden @ SY765 @ SV139 )
| ~ ( v1_xboole_0 @ ( k1_funct_1 @ SV248 @ SY765 ) ) )
| ( v2_relat_1 @ SV248 ) )
= $true )
| ( ( m1_pboole @ SV248 @ SV139 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7664]) ).
thf(7798,plain,
! [SV249: $i,SV140: $i,SV301: $i] :
( ( ( SV301
!= ( k2_tarski @ SV140 @ SV249 ) )
= $true )
| ( ( ! [SY820: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY820 @ SV301 )
| ( SY820 = SV140 )
| ( SY820 = SV249 ) )
| ~ ( ~ ( ( SY820 = SV140 )
| ( SY820 = SV249 ) )
| ( r2_hidden @ SY820 @ SV301 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7665]) ).
thf(7799,plain,
! [SV249: $i,SV140: $i,SV301: $i] :
( ( ( ~ ! [SY821: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY821 @ SV301 )
| ( SY821 = SV140 )
| ( SY821 = SV249 ) )
| ~ ( ~ ( ( SY821 = SV140 )
| ( SY821 = SV249 ) )
| ( r2_hidden @ SY821 @ SV301 ) ) ) )
= $true )
| ( ( SV301
= ( k2_tarski @ SV140 @ SV249 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7666]) ).
thf(7800,plain,
! [SV302: $i,SV250: $i,SV141: $i] :
( ( ( ~ ( r2_hidden @ SV141 @ ( k5_xboole_0 @ SV250 @ SV302 ) ) )
= $true )
| ( ( ~ ~ ( ~ ( ~ ( r2_hidden @ SV141 @ SV250 )
| ( r2_hidden @ SV141 @ SV302 ) )
| ~ ( ~ ( r2_hidden @ SV141 @ SV302 )
| ( r2_hidden @ SV141 @ SV250 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7667]) ).
thf(7801,plain,
! [SV302: $i,SV250: $i,SV141: $i] :
( ( ( ~ ~ ~ ( ~ ( ~ ( r2_hidden @ SV141 @ SV250 )
| ( r2_hidden @ SV141 @ SV302 ) )
| ~ ( ~ ( r2_hidden @ SV141 @ SV302 )
| ( r2_hidden @ SV141 @ SV250 ) ) ) )
= $true )
| ( ( r2_hidden @ SV141 @ ( k5_xboole_0 @ SV250 @ SV302 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7668]) ).
thf(7802,plain,
! [SV303: $i,SV143: $i,SV252: $i] :
( ( ( ~ ( m1_pboole @ SV252 @ SV143 ) )
= $true )
| ( ( ~ ( m1_pboole @ SV303 @ SV143 ) )
= $true )
| ( ( m1_pboole @ ( k5_pboole @ SV143 @ SV252 @ SV303 ) @ SV143 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7669]) ).
thf(7803,plain,
! [SV253: $i,SV144: $i,SV334: $i] :
( ( ( m1_pboole @ SV334 @ SV144 )
= $false )
| ( ( ! [SY842: $i] :
( ~ ( m1_pboole @ SY842 @ SV144 )
| ~ ~ ( ~ ( r7_pboole @ SV144 @ SV253 @ SV334 )
| ~ ( r7_pboole @ SV144 @ SV334 @ SY842 ) )
| ( r7_pboole @ SV144 @ SV253 @ SY842 ) ) )
= $true )
| ( ( m1_pboole @ SV253 @ SV144 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7670]) ).
thf(7804,plain,
! [SV304: $i,SV145: $i,SV254: $i] :
( ( ( ~ ( m1_pboole @ SV254 @ SV145 ) )
= $true )
| ( ( ~ ( m1_pboole @ SV304 @ SV145 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( r6_pboole @ SV145 @ SV254 @ SV304 )
| ( SV254 = SV304 ) )
| ~ ( ( SV254 != SV304 )
| ( r6_pboole @ SV145 @ SV254 @ SV304 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7671]) ).
thf(7805,plain,
! [SV146: $i] :
( ( ( ~ ( ~ ( m1_subset_1 @ ( sK24_SY626 @ SV146 ) @ SV146 )
| ~ ~ ( v1_xboole_0 @ ( sK24_SY626 @ SV146 ) ) ) )
= $true )
| ( ( v2_setfam_1 @ SV146 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7672]) ).
thf(7806,plain,
! [SV256: $i,SV148: $i] :
( ( ( SV148 != k1_xboole_0 )
= $false )
| ( ( ~ ( ~ ( ( SV256
!= ( k1_setfam_1 @ SV148 ) )
| ! [SY774: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY774 @ SV256 )
| ! [SY630: $i] :
( ~ ( r2_hidden @ SY630 @ SV148 )
| ( r2_hidden @ SY774 @ SY630 ) ) )
| ~ ( ~ ! [SY631: $i] :
( ~ ( r2_hidden @ SY631 @ SV148 )
| ( r2_hidden @ SY774 @ SY631 ) )
| ( r2_hidden @ SY774 @ SV256 ) ) ) )
| ~ ( ~ ! [SY777: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY777 @ SV256 )
| ! [SY633: $i] :
( ~ ( r2_hidden @ SY633 @ SV148 )
| ( r2_hidden @ SY777 @ SY633 ) ) )
| ~ ( ~ ! [SY634: $i] :
( ~ ( r2_hidden @ SY634 @ SV148 )
| ( r2_hidden @ SY777 @ SY634 ) )
| ( r2_hidden @ SY777 @ SV256 ) ) )
| ( SV256
= ( k1_setfam_1 @ SV148 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7673]) ).
thf(7807,plain,
! [SV256: $i,SV148: $i] :
( ( ( SV148 = k1_xboole_0 )
= $false )
| ( ( ~ ( ~ ( ( SV256
!= ( k1_setfam_1 @ SV148 ) )
| ( SV256 = k1_xboole_0 ) )
| ~ ( ( SV256 != k1_xboole_0 )
| ( SV256
= ( k1_setfam_1 @ SV148 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7674]) ).
thf(7808,plain,
! [SV149: $i,SV257: $i] :
( ( ( SV257
= ( k1_tarski @ SV149 ) )
= $false )
| ( ( ! [SY780: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY780 @ SV257 )
| ( SY780 = SV149 ) )
| ~ ( ( SY780 != SV149 )
| ( r2_hidden @ SY780 @ SV257 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7675]) ).
thf(7809,plain,
! [SV149: $i,SV257: $i] :
( ( ( ! [SY781: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY781 @ SV257 )
| ( SY781 = SV149 ) )
| ~ ( ( SY781 != SV149 )
| ( r2_hidden @ SY781 @ SV257 ) ) ) )
= $false )
| ( ( SV257
= ( k1_tarski @ SV149 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7676]) ).
thf(7810,plain,
! [SV258: $i,SV150: $i] :
( ( ~ ~ ( r1_xboole_0 @ SV150 @ SV258 )
| ~ ! [SY782: $i] :
~ ~ ( ~ ( r2_hidden @ SY782 @ SV150 )
| ~ ( r2_hidden @ SY782 @ SV258 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7677]) ).
thf(7811,plain,
! [SV258: $i,SV150: $i] :
( ( ~ ~ ! [SY783: $i] :
~ ~ ( ~ ( r2_hidden @ SY783 @ SV150 )
| ~ ( r2_hidden @ SY783 @ SV258 ) )
| ~ ( r1_xboole_0 @ SV150 @ SV258 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7678]) ).
thf(7812,plain,
! [SV151: $i,SV259: $i] :
( ( ( SV259
= ( k3_tarski @ SV151 ) )
= $false )
| ( ( ! [SY784: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY784 @ SV259 )
| ~ ! [SY643: $i] :
~ ~ ( ~ ( r2_hidden @ SY784 @ SY643 )
| ~ ( r2_hidden @ SY643 @ SV151 ) ) )
| ~ ( ~ ~ ! [SY644: $i] :
~ ~ ( ~ ( r2_hidden @ SY784 @ SY644 )
| ~ ( r2_hidden @ SY644 @ SV151 ) )
| ( r2_hidden @ SY784 @ SV259 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7679]) ).
thf(7813,plain,
! [SV151: $i,SV259: $i] :
( ( ( ! [SY787: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY787 @ SV259 )
| ~ ! [SY646: $i] :
~ ~ ( ~ ( r2_hidden @ SY787 @ SY646 )
| ~ ( r2_hidden @ SY646 @ SV151 ) ) )
| ~ ( ~ ~ ! [SY647: $i] :
~ ~ ( ~ ( r2_hidden @ SY787 @ SY647 )
| ~ ( r2_hidden @ SY647 @ SV151 ) )
| ( r2_hidden @ SY787 @ SV259 ) ) ) )
= $false )
| ( ( SV259
= ( k3_tarski @ SV151 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7680]) ).
thf(7814,plain,
! [SV305: $i,SV153: $i,SV261: $i] :
( ( ( ~ ( m1_pboole @ SV261 @ SV153 ) )
= $true )
| ( ( ~ ( m1_pboole @ SV305 @ SV153 ) )
= $true )
| ( ( ( k2_pboole @ SV153 @ SV261 @ SV261 )
= SV261 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7682]) ).
thf(7815,plain,
! [SV154: $i] :
( ( ( v1_xboole_0 @ SV154 )
= $true )
| ( ( ~ ( v1_setfam_1 @ SV154 ) )
= $true )
| ( ( ! [SY651: $i] :
( ~ ( m1_subset_1 @ SY651 @ SV154 )
| ~ ( v1_xboole_0 @ SY651 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7683]) ).
thf(7816,plain,
! [SV158: $i,SV340: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ SV340 )
| ~ ( r2_hidden @ SV340 @ SV158 ) )
= $true )
| ( ( v2_setfam_1 @ SV158 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7684]) ).
thf(7817,plain,
! [SV158: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ ( sK30_SY654 @ SV158 ) )
| ~ ( r2_hidden @ ( sK30_SY654 @ SV158 ) @ SV158 ) )
= $false )
| ( ( v2_setfam_1 @ SV158 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[7685]) ).
thf(7818,plain,
! [SV262: $i,SV159: $i] :
( ( ( ( k2_zfmisc_1 @ SV159 @ SV262 )
= k1_xboole_0 )
= $false )
| ( ( ( SV159 = k1_xboole_0 )
| ( SV262 = k1_xboole_0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7686]) ).
thf(7819,plain,
! [SV262: $i,SV159: $i] :
( ( ( ( SV159 = k1_xboole_0 )
| ( SV262 = k1_xboole_0 ) )
= $false )
| ( ( ( k2_zfmisc_1 @ SV159 @ SV262 )
= k1_xboole_0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7687]) ).
thf(7820,plain,
! [SV160: $i] :
( ( ( r2_hidden @ k1_xboole_0 @ SV160 )
= $false )
| ( ( v1_setfam_1 @ SV160 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7688]) ).
thf(7821,plain,
! [SV160: $i] :
( ( ( r2_hidden @ k1_xboole_0 @ SV160 )
= $true )
| ( ( v1_setfam_1 @ SV160 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7689]) ).
thf(7822,plain,
! [SV306: $i,SV161: $i,SV263: $i] :
( ( ( ~ ( m1_pboole @ SV263 @ SV161 ) )
= $true )
| ( ( ~ ( m1_pboole @ SV306 @ SV161 ) )
= $true )
| ( ( ~ ! [SY822: $i] :
~ ( m3_pboole @ SY822 @ SV161 @ SV263 @ SV306 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7690]) ).
thf(7823,plain,
! [SV162: $i,SV264: $i,SV307: $i] :
( ( ( m2_relset_1 @ SV307 @ SV264 @ k1_xboole_0 )
= $false )
| ( ( SV307 = k1_xboole_0 )
= $true )
| ( ( m2_relset_1 @ SV307 @ SV264 @ SV162 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7691]) ).
thf(7824,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ( ~ ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV163 )
| ~ ( ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) )
| ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) ) ) )
| ~ ( ~ ~ ( ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) )
| ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) ) )
| ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV163 ) ) )
= $true )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7692]) ).
thf(7825,plain,
! [SV164: $i,SV335: $i] :
( ( ( m1_subset_1 @ SV335 @ SV164 )
= $false )
| ( ( SV335
= ( k8_subset_1 @ SV164 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[7693]) ).
thf(7826,plain,
! [SV309: $i,SV165: $i,SV266: $i] :
( ( ( ~ ( m1_pboole @ SV266 @ SV165 ) )
= $true )
| ( ( ~ ( m1_pboole @ SV309 @ SV165 ) )
= $true )
| ( ( ~ ( r6_pboole @ SV165 @ SV266 @ SV309 )
| ( r6_pboole @ SV165 @ SV309 @ SV266 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7694]) ).
thf(7827,plain,
! [SV318: $i,SV310: $i,SV267: $i,SV166: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV166 )
| ~ ~ ( v1_xboole_0 @ SV267 ) )
| ~ ~ ( v1_xboole_0 @ SV310 ) )
| ~ ~ ( v1_xboole_0 @ SV318 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k4_zfmisc_1 @ SV166 @ SV267 @ SV310 @ SV318 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7695]) ).
thf(7828,plain,
! [SV167: $i,SV268: $i,SV311: $i] :
( ( ( m2_relset_1 @ SV311 @ k1_xboole_0 @ SV268 )
= $false )
| ( ( SV311 = k1_xboole_0 )
= $true )
| ( ( m2_relset_1 @ SV311 @ SV167 @ SV268 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7696]) ).
thf(7829,plain,
( ( ~ ( r2_hidden @ sK18_SY800 @ ( k1_closure3 @ sK1_A @ sK11_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7698]) ).
thf(7830,plain,
! [SV168: $i,SV269: $i] :
( ( ( ~ ( v3_relat_1 @ SV269 )
| ! [SY801: $i] :
( ~ ( r2_hidden @ SY801 @ SV168 )
| ( v1_xboole_0 @ ( k1_funct_1 @ SV269 @ SY801 ) ) ) )
= $true )
| ( ( m1_pboole @ SV269 @ SV168 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7700]) ).
thf(7831,plain,
! [SV269: $i,SV168: $i] :
( ( ( ~ ! [SY802: $i] :
( ~ ( r2_hidden @ SY802 @ SV168 )
| ( v1_xboole_0 @ ( k1_funct_1 @ SV269 @ SY802 ) ) )
| ( v3_relat_1 @ SV269 ) )
= $true )
| ( ( m1_pboole @ SV269 @ SV168 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7701]) ).
thf(7832,plain,
! [SV336: $i,SV319: $i,SV176: $i,SV39: $i] :
( ( ( ( g2_struct_0 @ SV39 @ SV176 )
= ( g2_struct_0 @ SV319 @ SV336 ) )
= $false )
| ( ( ~ ( ( SV39 != SV319 )
| ( SV176 != SV336 ) ) )
= $true )
| ( ( m1_subset_1 @ SV176 @ SV39 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7702]) ).
thf(7833,plain,
! [SV180: $i,SV43: $i,SV270: $i] :
( ( ( SV270
= ( k3_xboole_0 @ SV43 @ SV180 ) )
= $false )
| ( ( ! [SY803: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY803 @ SV270 )
| ~ ( ~ ( r2_hidden @ SY803 @ SV43 )
| ~ ( r2_hidden @ SY803 @ SV180 ) ) )
| ~ ( ~ ~ ( ~ ( r2_hidden @ SY803 @ SV43 )
| ~ ( r2_hidden @ SY803 @ SV180 ) )
| ( r2_hidden @ SY803 @ SV270 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7706]) ).
thf(7834,plain,
! [SV180: $i,SV43: $i,SV270: $i] :
( ( ( ! [SY804: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY804 @ SV270 )
| ~ ( ~ ( r2_hidden @ SY804 @ SV43 )
| ~ ( r2_hidden @ SY804 @ SV180 ) ) )
| ~ ( ~ ~ ( ~ ( r2_hidden @ SY804 @ SV43 )
| ~ ( r2_hidden @ SY804 @ SV180 ) )
| ( r2_hidden @ SY804 @ SV270 ) ) ) )
= $false )
| ( ( SV270
= ( k3_xboole_0 @ SV43 @ SV180 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7707]) ).
thf(7835,plain,
! [SV271: $i,SV44: $i,SV181: $i] :
( ( ( m1_pboole @ SV181 @ SV44 )
= $false )
| ( ( ~ ( m1_pboole @ SV271 @ SV44 ) )
= $true )
| ( ( m1_pboole @ ( k11_pboole @ SV44 @ SV181 @ SV271 ) @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7708]) ).
thf(7836,plain,
! [SV272: $i,SV48: $i,SV183: $i] :
( ( ( m1_pboole @ SV183 @ SV48 )
= $false )
| ( ( ~ ( m1_pboole @ SV272 @ SV48 ) )
= $true )
| ( ( ( k2_pboole @ SV48 @ SV183 @ SV272 )
= ( k2_pboole @ SV48 @ SV272 @ SV183 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7709]) ).
thf(7837,plain,
! [SV341: $i,SV49: $i,SV338: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ SV338 @ SV49 )
| ~ ( r2_hidden @ SV341 @ SV49 ) )
| ~ ~ ( r2_hidden @ SV338 @ SV341 ) )
| ~ ( ( SV338 != SV341 ) ) )
| ~ ~ ( r2_hidden @ SV341 @ SV338 ) ) )
= $true )
| ( ( v2_ordinal1 @ SV49 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7710]) ).
thf(7838,plain,
! [SV49: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ ( sK26_SY444 @ SV49 ) @ SV49 )
| ~ ( r2_hidden @ ( sK31_SY844 @ SV49 ) @ SV49 ) )
| ~ ~ ( r2_hidden @ ( sK26_SY444 @ SV49 ) @ ( sK31_SY844 @ SV49 ) ) )
| ~ ( ( ( sK26_SY444 @ SV49 )
!= ( sK31_SY844 @ SV49 ) ) ) )
| ~ ~ ( r2_hidden @ ( sK31_SY844 @ SV49 ) @ ( sK26_SY444 @ SV49 ) ) ) )
= $false )
| ( ( v2_ordinal1 @ SV49 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[7711]) ).
thf(7839,plain,
! [SV312: $i,SV273: $i,SV184: $i,SV50: $i] :
( ( ( ~ ( ~ ~ ( ~ ( r2_hidden @ SV50 @ SV184 )
| ~ ( r2_hidden @ SV184 @ SV273 ) )
| ~ ( r2_hidden @ SV273 @ SV312 ) ) )
= $false )
| ( ( ~ ( r2_hidden @ SV312 @ SV50 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7712]) ).
thf(7840,plain,
! [SV274: $i,SV52: $i,SV185: $i] :
( ( ( m1_pboole @ SV185 @ SV52 )
= $false )
| ( ( ~ ( m1_pboole @ SV274 @ SV52 ) )
= $true )
| ( ( ! [SY806: $i] :
( ~ ( m3_pboole @ SY806 @ SV52 @ SV185 @ SV274 )
| ( m1_pboole @ SY806 @ SV52 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7713]) ).
thf(7841,plain,
! [SV55: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK22_SY454 @ SV55 ) @ ( k1_zfmisc_1 @ SV55 ) )
| ~ ~ ( v1_xboole_0 @ ( sK22_SY454 @ SV55 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV55 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7715]) ).
thf(7842,plain,
! [SV57: $i,SV187: $i] :
( ( ( ~ ( ~ ( ~ ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
| ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) ) )
| ~ ( ~ ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
| ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 ) ) ) )
= $false )
| ( ( ~ ! [SY690: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY690 @ SV187 )
| ( p1_s3_xboole_0 @ SY690 ) )
| ~ ( ~ ( p1_s3_xboole_0 @ SY690 )
| ( r2_hidden @ SY690 @ SV187 ) ) ) )
= $true )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[7716]) ).
thf(7843,plain,
! [SV188: $i,SV58: $i] :
( ( ( v1_xboole_0 @ SV58 )
= $true )
| ( ( ~ ~ ( v1_xboole_0 @ SV188 ) )
= $true )
| ( ( ~ ( r2_subset_1 @ SV58 @ SV58 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7717]) ).
thf(7844,plain,
! [SV321: $i,SV59: $i,SV342: $i] :
( ( ( ~ ( ~ ( ( SV342
!= ( k1_closure3 @ SV59 @ SV321 ) )
| ( SV342
= ( a_2_0_closure3 @ SV59 @ SV321 ) ) )
| ~ ( ( SV342
!= ( a_2_0_closure3 @ SV59 @ SV321 ) )
| ( SV342
= ( k1_closure3 @ SV59 @ SV321 ) ) ) ) )
= $true )
| ( ( m1_pboole @ SV321 @ SV59 )
= $false )
| ( ( v1_xboole_0 @ SV59 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[7718]) ).
thf(7845,plain,
! [SV60: $i] :
( ( ( ~ ( r1_xboole_0 @ SV60 @ SV60 ) )
= $false )
| ( ( SV60 != k1_xboole_0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7719]) ).
thf(7846,plain,
! [SV60: $i] :
( ( ( SV60 != k1_xboole_0 )
= $false )
| ( ( ~ ( r1_xboole_0 @ SV60 @ SV60 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7720]) ).
thf(7847,plain,
! [SV275: $i,SV189: $i,SV61: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV61 )
| ~ ( v2_relat_1 @ SV189 ) )
| ~ ( m1_pboole @ SV189 @ SV61 ) ) )
= $false )
| ( ( ~ ( m1_subset_1 @ SV275 @ SV61 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k1_funct_1 @ SV189 @ SV275 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7721]) ).
thf(7848,plain,
! [SV276: $i,SV62: $i,SV190: $i] :
( ( ( m1_pboole @ SV190 @ SV62 )
= $false )
| ( ( ~ ( m1_pboole @ SV276 @ SV62 ) )
= $true )
| ( ( r2_pboole @ SV62 @ SV190 @ SV190 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7722]) ).
thf(7849,plain,
! [SV313: $i,SV64: $i] :
( ( ( ~ ~ ( ~ ~ ( r2_hidden @ SV64 @ SV313 )
| ~ ( ( SV64 != SV313 ) ) )
| ~ ~ ( r2_hidden @ SV313 @ SV64 ) )
= $true )
| ( ( v3_ordinal1 @ SV313 )
= $false )
| ( ( v3_ordinal1 @ SV64 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7724]) ).
thf(7850,plain,
! [SV65: $i,SV277: $i,SV192: $i] :
( ( ( ~ ( v1_xboole_0 @ SV192 ) )
= $false )
| ( ( ~ ( m1_pboole @ SV277 @ SV192 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( r2_hidden @ SV65 @ ( a_2_0_closure3 @ SV192 @ SV277 ) )
| ~ ! [SY807: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY807 @ SV192 )
| ( SV65 != SY807 ) )
| ~ ( ( ( k1_funct_1 @ SV277 @ SY807 )
!= k1_xboole_0 ) ) ) )
| ~ ( ~ ~ ! [SY808: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY808 @ SV192 )
| ( SV65 != SY808 ) )
| ~ ( ( ( k1_funct_1 @ SV277 @ SY808 )
!= k1_xboole_0 ) ) )
| ( r2_hidden @ SV65 @ ( a_2_0_closure3 @ SV192 @ SV277 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7725]) ).
thf(7851,plain,
! [SV193: $i,SV66: $i] :
( ( ( v1_xboole_0 @ SV66 )
= $true )
| ( ( ~ ~ ( v1_xboole_0 @ SV193 ) )
= $true )
| ( ( ~ ( r1_subset_1 @ SV66 @ SV193 )
| ( r1_subset_1 @ SV193 @ SV66 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7726]) ).
thf(7852,plain,
! [SV314: $i,SV278: $i,SV194: $i,SV68: $i] :
( ( ( SV68 = k1_xboole_0 )
= $true )
| ( ( SV194 = k1_xboole_0 )
= $true )
| ( ( ~ ( ( SV68 != SV278 )
| ( SV194 != SV314 ) ) )
= $true )
| ( ( ( k2_zfmisc_1 @ SV68 @ SV194 )
= ( k2_zfmisc_1 @ SV278 @ SV314 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7728]) ).
thf(7853,plain,
! [SV279: $i,SV69: $i,SV195: $i] :
( ( ( m1_pboole @ SV195 @ SV69 )
= $false )
| ( ( ~ ( m1_pboole @ SV279 @ SV69 ) )
= $true )
| ( ( m1_pboole @ ( k2_pboole @ SV69 @ SV195 @ SV279 ) @ SV69 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7729]) ).
thf(7854,plain,
! [SV280: $i,SV72: $i,SV197: $i] :
( ( ( m1_pboole @ SV197 @ SV72 )
= $false )
| ( ( ~ ( m1_pboole @ SV280 @ SV72 ) )
= $true )
| ( ( m1_pboole @ ( k4_pboole @ SV72 @ SV197 @ SV280 ) @ SV72 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7730]) ).
thf(7855,plain,
! [SV198: $i,SV73: $i] :
( ( ( ~ ! [SY482: $i] :
~ ~ ( ~ ( r2_hidden @ SY482 @ SV73 )
| ~ ! [SX3: $i,SX4: $i] :
( SY482
!= ( k4_tarski @ SX3 @ SX4 ) ) )
| ~ ! [SY704: $i] :
~ ~ ( ~ ( r2_hidden @ SY704 @ SV198 )
| ~ ! [SX3: $i,SX4: $i] :
( SY704
!= ( k4_tarski @ SX3 @ SX4 ) ) ) )
= $true )
| ( ( ~ ! [SY707: $i,SY708: $i] :
~ ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 ) )
| ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 ) ) ) )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7731]) ).
thf(7856,plain,
! [SV74: $i,SV199: $i] :
( ( ( ~ ( r2_hidden @ ( sK27_SY709 @ SV199 @ SV74 ) @ SV74 ) )
= $false )
| ( ( SV199
= ( k1_pboole @ SV74 ) )
= $true )
| ( ( m1_pboole @ SV199 @ SV74 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7732]) ).
thf(7857,plain,
! [SV74: $i,SV199: $i] :
( ( ( ( k1_funct_1 @ SV199 @ ( sK27_SY709 @ SV199 @ SV74 ) )
= k1_xboole_0 )
= $false )
| ( ( SV199
= ( k1_pboole @ SV74 ) )
= $true )
| ( ( m1_pboole @ SV199 @ SV74 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7732]) ).
thf(7858,plain,
! [SV75: $i] :
( ( v1_xboole_0 @ ( sK13_SY492 @ SV75 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[7734]) ).
thf(7859,plain,
! [SV323: $i,SV200: $i,SV76: $i] :
( ( ( ~ ( ~ ( r1_pboole @ SV76 @ SV200 @ SV323 )
| ! [SY830: $i] :
( ~ ( r2_hidden @ SY830 @ SV76 )
| ( r2_hidden @ ( k1_funct_1 @ SV200 @ SY830 ) @ ( k1_funct_1 @ SV323 @ SY830 ) ) ) )
| ~ ( ~ ! [SY831: $i] :
( ~ ( r2_hidden @ SY831 @ SV76 )
| ( r2_hidden @ ( k1_funct_1 @ SV200 @ SY831 ) @ ( k1_funct_1 @ SV323 @ SY831 ) ) )
| ( r1_pboole @ SV76 @ SV200 @ SV323 ) ) )
= $false )
| ( ( m1_pboole @ SV323 @ SV76 )
= $false )
| ( ( m1_pboole @ SV200 @ SV76 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7735]) ).
thf(7860,plain,
! [SV281: $i,SV77: $i,SV201: $i] :
( ( ( m1_pboole @ SV201 @ SV77 )
= $false )
| ( ( ~ ( m1_pboole @ SV281 @ SV77 ) )
= $true )
| ( ( ( k3_pboole @ SV77 @ SV201 @ SV201 )
= SV201 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7736]) ).
thf(7861,plain,
! [SV283: $i,SV203: $i,SV79: $i] :
( ( ( ~ ( r2_hidden @ SV79 @ SV203 )
| ~ ( m1_subset_1 @ SV203 @ ( k1_zfmisc_1 @ SV283 ) ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV283 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7737]) ).
thf(7862,plain,
! [SV324: $i,SV315: $i,SV284: $i,SV204: $i,SV80: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ SV80 @ SV204 )
| ~ ( r2_hidden @ SV204 @ SV284 ) )
| ~ ( r2_hidden @ SV284 @ SV315 ) )
| ~ ( r2_hidden @ SV315 @ SV324 ) ) )
= $true )
| ( ( ~ ( r2_hidden @ SV324 @ SV80 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7739]) ).
thf(7863,plain,
! [SV285: $i,SV81: $i,SV205: $i] :
( ( ( m1_pboole @ SV205 @ SV81 )
= $false )
| ( ( ~ ( m1_pboole @ SV285 @ SV81 ) )
= $true )
| ( ( ~ ( r5_pboole @ SV81 @ SV205 @ SV285 )
| ( r5_pboole @ SV81 @ SV285 @ SV205 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7740]) ).
thf(7864,plain,
! [SV206: $i,SV82: $i,SV286: $i] :
( ( ( SV286
= ( k2_xboole_0 @ SV82 @ SV206 ) )
= $false )
| ( ( ! [SY812: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY812 @ SV286 )
| ( r2_hidden @ SY812 @ SV82 )
| ( r2_hidden @ SY812 @ SV206 ) )
| ~ ( ~ ( ( r2_hidden @ SY812 @ SV82 )
| ( r2_hidden @ SY812 @ SV206 ) )
| ( r2_hidden @ SY812 @ SV286 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7741]) ).
thf(7865,plain,
! [SV206: $i,SV82: $i,SV286: $i] :
( ( ( ! [SY813: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY813 @ SV286 )
| ( r2_hidden @ SY813 @ SV82 )
| ( r2_hidden @ SY813 @ SV206 ) )
| ~ ( ~ ( ( r2_hidden @ SY813 @ SV82 )
| ( r2_hidden @ SY813 @ SV206 ) )
| ( r2_hidden @ SY813 @ SV286 ) ) ) )
= $false )
| ( ( SV286
= ( k2_xboole_0 @ SV82 @ SV206 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7742]) ).
thf(7866,plain,
! [SV337: $i,SV325: $i,SV316: $i,SV287: $i,SV207: $i,SV84: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ SV84 @ SV207 )
| ~ ( r2_hidden @ SV207 @ SV287 ) )
| ~ ( r2_hidden @ SV287 @ SV316 ) )
| ~ ( r2_hidden @ SV316 @ SV325 ) )
| ~ ( r2_hidden @ SV325 @ SV337 ) )
| ~ ( r2_hidden @ SV337 @ SV84 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7743]) ).
thf(7867,plain,
! [SV208: $i,SV85: $i] :
( ( ( v1_xboole_0 @ SV85 )
= $true )
| ( ( ~ ( ~ ( ~ ( m1_subset_1 @ SV208 @ SV85 )
| ( r2_hidden @ SV208 @ SV85 ) )
| ~ ( ~ ( r2_hidden @ SV208 @ SV85 )
| ( m1_subset_1 @ SV208 @ SV85 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7744]) ).
thf(7868,plain,
! [SV85: $i,SV208: $i] :
( ( ( ~ ( ~ ( m1_subset_1 @ SV208 @ SV85 )
| ( v1_xboole_0 @ SV208 ) )
| ~ ( ~ ( v1_xboole_0 @ SV208 )
| ( m1_subset_1 @ SV208 @ SV85 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV85 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7745]) ).
thf(7869,plain,
! [SV288: $i,SV86: $i,SV209: $i] :
( ( ( m1_pboole @ SV209 @ SV86 )
= $false )
| ( ( ~ ( m1_pboole @ SV288 @ SV86 ) )
= $true )
| ( ( ( k3_pboole @ SV86 @ SV209 @ SV288 )
= ( k3_pboole @ SV86 @ SV288 @ SV209 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7746]) ).
thf(7870,plain,
! [SV326: $i,SV211: $i,SV90: $i] :
( ( ( ~ ! [SY833: $i] :
( ~ ( r2_hidden @ SY833 @ SV90 )
| ( ( k1_funct_1 @ SV211 @ SY833 )
= ( k1_funct_1 @ SV326 @ SY833 ) ) ) )
= $true )
| ( ( SV211 = SV326 )
= $true )
| ( ( m1_pboole @ SV326 @ SV90 )
= $false )
| ( ( m1_pboole @ SV211 @ SV90 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7748]) ).
thf(7871,plain,
! [SV289: $i,SV212: $i,SV91: $i] :
( ( ( r2_hidden @ SV91 @ SV212 )
= $false )
| ( ( ~ ( m1_subset_1 @ SV212 @ ( k1_zfmisc_1 @ SV289 ) ) )
= $true )
| ( ( m1_subset_1 @ SV91 @ SV289 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7749]) ).
thf(7872,plain,
! [SV290: $i,SV92: $i,SV213: $i] :
( ( ( m1_pboole @ SV213 @ SV92 )
= $false )
| ( ( ~ ( m1_pboole @ SV290 @ SV92 ) )
= $true )
| ( ( m1_pboole @ ( k12_pboole @ SV92 @ SV213 @ SV290 ) @ SV92 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7750]) ).
thf(7873,plain,
! [SV93: $i] :
( ( ( ~ ( v1_realset1 @ SV93 ) )
= $false )
| ( ( ~ ! [SY530: $i,SY531: $i] :
~ ~ ( ~ ~ ( ~ ( r2_hidden @ SY530 @ SV93 )
| ~ ( r2_hidden @ SY531 @ SV93 ) )
| ~ ( ( SY530 != SY531 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7751]) ).
thf(7874,plain,
! [SV93: $i] :
( ( ( ~ ! [SY532: $i] :
~ ~ ! [SY533: $i] :
~ ~ ( ~ ~ ( ~ ( r2_hidden @ SY532 @ SV93 )
| ~ ( r2_hidden @ SY533 @ SV93 ) )
| ~ ( ( SY532 != SY533 ) ) ) )
= $false )
| ( ( ~ ( v1_realset1 @ SV93 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7752]) ).
thf(7875,plain,
! [SV215: $i,SV95: $i] :
( ( ( r2_hidden @ SV95 @ SV215 )
= $true )
| ( ( SV95 = SV215 )
= $true )
| ( ( r2_hidden @ SV95 @ ( k1_ordinal1 @ SV215 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7755]) ).
thf(7876,plain,
! [SV215: $i,SV95: $i] :
( ( ( r2_hidden @ SV95 @ SV215 )
= $false )
| ( ( r2_hidden @ SV95 @ ( k1_ordinal1 @ SV215 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[7756]) ).
thf(7877,plain,
! [SV215: $i,SV95: $i] :
( ( ( SV95 = SV215 )
= $false )
| ( ( r2_hidden @ SV95 @ ( k1_ordinal1 @ SV215 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[7756]) ).
thf(7878,plain,
! [SV97: $i] :
( ( ( r2_hidden @ ( sK15_SY536 @ SV97 ) @ SV97 )
= $true )
| ( ( ~ ( ~ ( v3_ordinal1 @ ( sK15_SY536 @ SV97 ) )
| ( r2_hidden @ ( sK15_SY536 @ SV97 ) @ SV97 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7757]) ).
thf(7879,plain,
! [SV97: $i] :
( ( ( ~ ( v3_ordinal1 @ ( sK15_SY536 @ SV97 ) )
| ( r2_hidden @ ( sK15_SY536 @ SV97 ) @ SV97 ) )
= $false )
| ( ( v3_ordinal1 @ ( sK15_SY536 @ SV97 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7758]) ).
thf(7880,plain,
! [SV217: $i,SV99: $i] :
( ( ( v1_xboole_0 @ SV99 )
= $true )
| ( ( ~ ~ ( v1_xboole_0 @ SV217 ) )
= $true )
| ( ( ~ ( r1_subset_1 @ SV99 @ SV99 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7759]) ).
thf(7881,plain,
! [SV291: $i,SV100: $i,SV218: $i] :
( ( ( m1_pboole @ SV218 @ SV100 )
= $false )
| ( ( ~ ( m1_pboole @ SV291 @ SV100 ) )
= $true )
| ( ( ~ ( r4_pboole @ SV100 @ SV218 @ SV291 )
| ( r4_pboole @ SV100 @ SV291 @ SV218 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7760]) ).
thf(7882,plain,
! [SV317: $i,SV292: $i,SV219: $i,SV101: $i] :
( ( ( ( ( k1_funct_1 @ ( k4_funct_4 @ SV101 @ SV219 @ SV292 @ SV317 ) @ SV101 )
!= SV292 )
| ( ( k1_funct_1 @ ( k4_funct_4 @ SV101 @ SV219 @ SV292 @ SV317 ) @ SV219 )
!= SV317 ) )
= $false )
| ( ( SV101 = SV219 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7761]) ).
thf(7883,plain,
! [SV221: $i,SV103: $i] :
( ( ( ~ ~ ( ~ ( r2_hidden @ ( sK33_SY736 @ SV103 @ SV221 ) @ SV221 )
| ~ ! [SY845: $i] :
~ ~ ( ~ ( r2_hidden @ SY845 @ SV221 )
| ~ ( r2_hidden @ SY845 @ ( sK33_SY736 @ SV103 @ SV221 ) ) ) ) )
= $false )
| ( ( r2_hidden @ SV103 @ SV221 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[7763]) ).
thf(7884,plain,
! [SV222: $i,SV104: $i,SV293: $i] :
( ( ( SV293
= ( k4_xboole_0 @ SV104 @ SV222 ) )
= $false )
| ( ( ! [SY818: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY818 @ SV293 )
| ~ ( ~ ( r2_hidden @ SY818 @ SV104 )
| ~ ~ ( r2_hidden @ SY818 @ SV222 ) ) )
| ~ ( ~ ~ ( ~ ( r2_hidden @ SY818 @ SV104 )
| ~ ~ ( r2_hidden @ SY818 @ SV222 ) )
| ( r2_hidden @ SY818 @ SV293 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7764]) ).
thf(7885,plain,
! [SV222: $i,SV104: $i,SV293: $i] :
( ( ( ! [SY819: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY819 @ SV293 )
| ~ ( ~ ( r2_hidden @ SY819 @ SV104 )
| ~ ~ ( r2_hidden @ SY819 @ SV222 ) ) )
| ~ ( ~ ~ ( ~ ( r2_hidden @ SY819 @ SV104 )
| ~ ~ ( r2_hidden @ SY819 @ SV222 ) )
| ( r2_hidden @ SY819 @ SV293 ) ) ) )
= $false )
| ( ( SV293
= ( k4_xboole_0 @ SV104 @ SV222 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7765]) ).
thf(7886,plain,
! [SV223: $i,SV105: $i] :
( ( ( v1_xboole_0 @ SV105 )
= $true )
| ( ( ~ ~ ( v1_xboole_0 @ SV223 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ SV105 @ SV223 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7766]) ).
thf(7887,plain,
! [SV294: $i,SV106: $i,SV224: $i] :
( ( ( m1_pboole @ SV224 @ SV106 )
= $false )
| ( ( ~ ( m1_pboole @ SV294 @ SV106 ) )
= $true )
| ( ( m1_pboole @ ( k3_pboole @ SV106 @ SV224 @ SV294 ) @ SV106 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7767]) ).
thf(7888,plain,
! [SV295: $i,SV107: $i,SV225: $i] :
( ( ( m1_pboole @ SV225 @ SV107 )
= $false )
| ( ( ~ ( m1_pboole @ SV295 @ SV107 ) )
= $true )
| ( ( ( k5_pboole @ SV107 @ SV225 @ SV295 )
= ( k5_pboole @ SV107 @ SV295 @ SV225 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7768]) ).
thf(7889,plain,
! [SV226: $i,SV108: $i] :
( ( ( ~ ( v1_xboole_0 @ SV108 ) )
= $true )
| ( ( ~ ( ( SV108 != SV226 ) ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV226 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7769]) ).
thf(7890,plain,
! [SV296: $i,SV228: $i,SV110: $i] :
( ( ( ~ ( ~ ~ ( v1_xboole_0 @ SV110 )
| ~ ( m1_pboole @ SV228 @ SV110 ) ) )
= $false )
| ( ( ~ ( m1_pboole @ SV296 @ SV110 ) )
= $true )
| ( ( ~ ( r3_pboole @ SV110 @ SV228 @ SV296 )
| ~ ( r3_pboole @ SV110 @ SV296 @ SV228 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7770]) ).
thf(7891,plain,
! [SV114: $i,SV230: $i] :
( ( ( SV230 != k1_xboole_0 )
= $false )
| ( ( ~ ! [SY744: $i] :
( ~ ( m1_subset_1 @ SY744 @ SV114 )
| ~ ( r2_hidden @ SY744 @ SV230 ) ) )
= $true )
| ( ( m1_subset_1 @ SV230 @ ( k1_zfmisc_1 @ SV114 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7773]) ).
thf(7892,plain,
! [SV115: $i,SV339: $i] :
( ( ( r2_hidden @ SV339 @ SV115 )
= $false )
| ( ( SV115 = k1_xboole_0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7774]) ).
thf(7893,plain,
! [SV115: $i] :
( ( ( r2_hidden @ ( sK28_SY567 @ SV115 ) @ SV115 )
= $true )
| ( ( SV115 = k1_xboole_0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7775]) ).
thf(7894,plain,
! [SV231: $i,SV116: $i,SV328: $i] :
( ( ( ~ ( ~ ( m2_pboole @ SV328 @ SV116 @ SV231 )
| ! [SY834: $i] :
( ~ ( r2_hidden @ SY834 @ SV116 )
| ( m1_subset_1 @ ( k1_funct_1 @ SV328 @ SY834 ) @ ( k1_funct_1 @ SV231 @ SY834 ) ) ) )
| ~ ( ~ ! [SY835: $i] :
( ~ ( r2_hidden @ SY835 @ SV116 )
| ( m1_subset_1 @ ( k1_funct_1 @ SV328 @ SY835 ) @ ( k1_funct_1 @ SV231 @ SY835 ) ) )
| ( m2_pboole @ SV328 @ SV116 @ SV231 ) ) )
= $false )
| ( ( m1_pboole @ SV328 @ SV116 )
= $false )
| ( ( m1_pboole @ SV231 @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7776]) ).
thf(7895,plain,
! [SV329: $i,SV232: $i,SV117: $i,SV343: $i] :
( ( ( ~ ( m1_pboole @ SV343 @ SV117 )
| ~ ~ ( ~ ( r2_pboole @ SV117 @ SV232 @ SV329 )
| ~ ( r2_pboole @ SV117 @ SV329 @ SV343 ) )
| ( r2_pboole @ SV117 @ SV232 @ SV343 ) )
= $true )
| ( ( m1_pboole @ SV329 @ SV117 )
= $false )
| ( ( m1_pboole @ SV232 @ SV117 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7777]) ).
thf(7896,plain,
! [SV233: $i,SV119: $i,SV344: $i] :
( ( ( ~ ( r2_hidden @ SV344 @ SV119 )
| ( r2_hidden @ SV344 @ SV233 ) )
= $true )
| ( ( r1_tarski @ SV119 @ SV233 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7778]) ).
thf(7897,plain,
! [SV119: $i,SV233: $i] :
( ( ( ~ ( r2_hidden @ ( sK34_SY751 @ SV233 @ SV119 ) @ SV119 )
| ( r2_hidden @ ( sK34_SY751 @ SV233 @ SV119 ) @ SV233 ) )
= $false )
| ( ( r1_tarski @ SV119 @ SV233 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[7779]) ).
thf(7898,plain,
! [SV330: $i,SV120: $i,SV345: $i] :
( ( ( ~ ( m1_pboole @ SV345 @ SV120 )
| ( ( k1_funct_4 @ SV330 @ SV345 )
= SV345 ) )
= $true )
| ( ( m1_pboole @ SV330 @ SV120 )
= $false )
| ( ( v1_xboole_0 @ SV120 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[7780]) ).
thf(7899,plain,
! [SV122: $i,SV331: $i,SV346: $i] :
( ( ( ~ ( m1_subset_1 @ SV346 @ ( k2_relat_1 @ SV331 ) )
| ~ ! [SY846: $i] :
~ ~ ( ~ ( r2_hidden @ SY846 @ SV122 )
| ( SV346
!= ( k1_funct_1 @ SV331 @ SY846 ) ) ) )
= $true )
| ( ( m1_pboole @ SV331 @ SV122 )
= $false )
| ( ( v1_xboole_0 @ SV122 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[7781]) ).
thf(7900,plain,
! [SV297: $i,SV234: $i,SV123: $i] :
( ( ( ~ ( r2_hidden @ SV123 @ SV234 )
| ~ ( r2_hidden @ SV234 @ SV297 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV297 @ SV123 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7782]) ).
thf(7901,plain,
! [SV124: $i,SV235: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK29_SY753 @ SV235 @ SV124 ) @ SV124 ) )
= $false )
| ( ( SV124 = SV235 )
= $true )
| ( ( m1_subset_1 @ SV235 @ ( k1_zfmisc_1 @ SV124 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7783]) ).
thf(7902,plain,
! [SV124: $i,SV235: $i] :
( ( ( r2_hidden @ ( sK29_SY753 @ SV235 @ SV124 ) @ SV235 )
= $false )
| ( ( SV124 = SV235 )
= $true )
| ( ( m1_subset_1 @ SV235 @ ( k1_zfmisc_1 @ SV124 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7783]) ).
thf(7903,plain,
! [SV298: $i,SV125: $i,SV236: $i] :
( ( ( m1_pboole @ SV236 @ SV125 )
= $false )
| ( ( ~ ( m1_pboole @ SV298 @ SV125 ) )
= $true )
| ( ( r7_pboole @ SV125 @ SV236 @ SV236 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7784]) ).
thf(7904,plain,
! [SV332: $i,SV239: $i,SV129: $i] :
( ( ( ~ ! [SY840: $i] :
( ~ ( m1_subset_1 @ SY840 @ SV129 )
| ~ ( ~ ( ~ ( r2_hidden @ SY840 @ SV239 )
| ( r2_hidden @ SY840 @ SV332 ) )
| ~ ( ~ ( r2_hidden @ SY840 @ SV332 )
| ( r2_hidden @ SY840 @ SV239 ) ) ) ) )
= $true )
| ( ( SV239 = SV332 )
= $true )
| ( ( m1_subset_1 @ SV332 @ ( k1_zfmisc_1 @ SV129 ) )
= $false )
| ( ( m1_subset_1 @ SV239 @ ( k1_zfmisc_1 @ SV129 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7787]) ).
thf(7905,plain,
! [SV242: $i,SV133: $i] :
( ( ( ~ ( ( SV133
!= ( k1_tarski @ SV242 ) ) ) )
= $true )
| ( ( ~ ( ( SV133 != k1_xboole_0 ) ) )
= $true )
| ( ( ~ ! [SY758: $i] :
~ ~ ( ~ ( r2_hidden @ SY758 @ SV133 )
| ~ ( ( SY758 != SV242 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7789]) ).
thf(7906,plain,
! [SV299: $i,SV243: $i,SV134: $i] :
( ( ( ~ ( ~ ~ ( v1_xboole_0 @ SV134 )
| ~ ~ ( v1_xboole_0 @ SV243 ) ) )
= $false )
| ( ( ~ ~ ( v1_xboole_0 @ SV299 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k3_zfmisc_1 @ SV134 @ SV243 @ SV299 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7790]) ).
thf(7907,plain,
! [SV135: $i,SV244: $i] :
( ( ( ~ ( r2_hidden @ ( sK19_SY760 @ SV244 @ SV135 ) @ SV135 )
| ( r2_hidden @ ( sK19_SY760 @ SV244 @ SV135 ) @ SV244 ) )
= $false )
| ( ( ~ ( ~ ( r2_hidden @ ( sK19_SY760 @ SV244 @ SV135 ) @ SV244 )
| ( r2_hidden @ ( sK19_SY760 @ SV244 @ SV135 ) @ SV135 ) ) )
= $true )
| ( ( SV135 = SV244 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7791]) ).
thf(7908,plain,
! [SV333: $i,SV245: $i,SV136: $i] :
( ( ( ~ ! [SY841: $i] :
( ~ ( m1_subset_1 @ SY841 @ ( k1_zfmisc_1 @ SV136 ) )
| ~ ( ~ ( ~ ( r2_hidden @ SY841 @ SV245 )
| ( r2_hidden @ SY841 @ SV333 ) )
| ~ ( ~ ( r2_hidden @ SY841 @ SV333 )
| ( r2_hidden @ SY841 @ SV245 ) ) ) ) )
= $true )
| ( ( SV245 = SV333 )
= $true )
| ( ( m1_subset_1 @ SV333 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV136 ) ) )
= $false )
| ( ( m1_subset_1 @ SV245 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV136 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7792]) ).
thf(7909,plain,
! [SV300: $i,SV137: $i,SV246: $i] :
( ( ( m1_pboole @ SV246 @ SV137 )
= $false )
| ( ( ~ ( m1_pboole @ SV300 @ SV137 ) )
= $true )
| ( ( r6_pboole @ SV137 @ SV246 @ SV246 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7793]) ).
thf(7910,plain,
! [SV247: $i,SV138: $i] :
( ( ( v1_xboole_0 @ SV138 )
= $true )
| ( ( ~ ~ ( v1_xboole_0 @ SV247 ) )
= $true )
| ( ( ~ ( r2_subset_1 @ SV138 @ SV247 )
| ( r2_subset_1 @ SV247 @ SV138 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7794]) ).
thf(7911,plain,
! [SV139: $i,SV248: $i] :
( ( ( ~ ( v2_relat_1 @ SV248 ) )
= $true )
| ( ( ! [SY764: $i] :
~ ~ ( ~ ( r2_hidden @ SY764 @ SV139 )
| ~ ( v1_xboole_0 @ ( k1_funct_1 @ SV248 @ SY764 ) ) ) )
= $true )
| ( ( m1_pboole @ SV248 @ SV139 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7796]) ).
thf(7912,plain,
! [SV248: $i,SV139: $i] :
( ( ( ~ ! [SY765: $i] :
~ ~ ( ~ ( r2_hidden @ SY765 @ SV139 )
| ~ ( v1_xboole_0 @ ( k1_funct_1 @ SV248 @ SY765 ) ) ) )
= $true )
| ( ( v2_relat_1 @ SV248 )
= $true )
| ( ( m1_pboole @ SV248 @ SV139 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7797]) ).
thf(7913,plain,
! [SV249: $i,SV140: $i,SV301: $i] :
( ( ( SV301
= ( k2_tarski @ SV140 @ SV249 ) )
= $false )
| ( ( ! [SY820: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY820 @ SV301 )
| ( SY820 = SV140 )
| ( SY820 = SV249 ) )
| ~ ( ~ ( ( SY820 = SV140 )
| ( SY820 = SV249 ) )
| ( r2_hidden @ SY820 @ SV301 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7798]) ).
thf(7914,plain,
! [SV249: $i,SV140: $i,SV301: $i] :
( ( ( ! [SY821: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY821 @ SV301 )
| ( SY821 = SV140 )
| ( SY821 = SV249 ) )
| ~ ( ~ ( ( SY821 = SV140 )
| ( SY821 = SV249 ) )
| ( r2_hidden @ SY821 @ SV301 ) ) ) )
= $false )
| ( ( SV301
= ( k2_tarski @ SV140 @ SV249 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7799]) ).
thf(7915,plain,
! [SV302: $i,SV250: $i,SV141: $i] :
( ( ( r2_hidden @ SV141 @ ( k5_xboole_0 @ SV250 @ SV302 ) )
= $false )
| ( ( ~ ~ ( ~ ( ~ ( r2_hidden @ SV141 @ SV250 )
| ( r2_hidden @ SV141 @ SV302 ) )
| ~ ( ~ ( r2_hidden @ SV141 @ SV302 )
| ( r2_hidden @ SV141 @ SV250 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7800]) ).
thf(7916,plain,
! [SV302: $i,SV250: $i,SV141: $i] :
( ( ( ~ ~ ( ~ ( ~ ( r2_hidden @ SV141 @ SV250 )
| ( r2_hidden @ SV141 @ SV302 ) )
| ~ ( ~ ( r2_hidden @ SV141 @ SV302 )
| ( r2_hidden @ SV141 @ SV250 ) ) ) )
= $false )
| ( ( r2_hidden @ SV141 @ ( k5_xboole_0 @ SV250 @ SV302 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7801]) ).
thf(7917,plain,
! [SV303: $i,SV143: $i,SV252: $i] :
( ( ( m1_pboole @ SV252 @ SV143 )
= $false )
| ( ( ~ ( m1_pboole @ SV303 @ SV143 ) )
= $true )
| ( ( m1_pboole @ ( k5_pboole @ SV143 @ SV252 @ SV303 ) @ SV143 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7802]) ).
thf(7918,plain,
! [SV334: $i,SV253: $i,SV144: $i,SV347: $i] :
( ( ( ~ ( m1_pboole @ SV347 @ SV144 )
| ~ ~ ( ~ ( r7_pboole @ SV144 @ SV253 @ SV334 )
| ~ ( r7_pboole @ SV144 @ SV334 @ SV347 ) )
| ( r7_pboole @ SV144 @ SV253 @ SV347 ) )
= $true )
| ( ( m1_pboole @ SV334 @ SV144 )
= $false )
| ( ( m1_pboole @ SV253 @ SV144 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7803]) ).
thf(7919,plain,
! [SV304: $i,SV145: $i,SV254: $i] :
( ( ( m1_pboole @ SV254 @ SV145 )
= $false )
| ( ( ~ ( m1_pboole @ SV304 @ SV145 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( r6_pboole @ SV145 @ SV254 @ SV304 )
| ( SV254 = SV304 ) )
| ~ ( ( SV254 != SV304 )
| ( r6_pboole @ SV145 @ SV254 @ SV304 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7804]) ).
thf(7920,plain,
! [SV146: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK24_SY626 @ SV146 ) @ SV146 )
| ~ ~ ( v1_xboole_0 @ ( sK24_SY626 @ SV146 ) ) )
= $false )
| ( ( v2_setfam_1 @ SV146 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7805]) ).
thf(7921,plain,
! [SV256: $i,SV148: $i] :
( ( ( SV148 = k1_xboole_0 )
= $true )
| ( ( ~ ( ~ ( ( SV256
!= ( k1_setfam_1 @ SV148 ) )
| ! [SY774: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY774 @ SV256 )
| ! [SY630: $i] :
( ~ ( r2_hidden @ SY630 @ SV148 )
| ( r2_hidden @ SY774 @ SY630 ) ) )
| ~ ( ~ ! [SY631: $i] :
( ~ ( r2_hidden @ SY631 @ SV148 )
| ( r2_hidden @ SY774 @ SY631 ) )
| ( r2_hidden @ SY774 @ SV256 ) ) ) )
| ~ ( ~ ! [SY777: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY777 @ SV256 )
| ! [SY633: $i] :
( ~ ( r2_hidden @ SY633 @ SV148 )
| ( r2_hidden @ SY777 @ SY633 ) ) )
| ~ ( ~ ! [SY634: $i] :
( ~ ( r2_hidden @ SY634 @ SV148 )
| ( r2_hidden @ SY777 @ SY634 ) )
| ( r2_hidden @ SY777 @ SV256 ) ) )
| ( SV256
= ( k1_setfam_1 @ SV148 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7806]) ).
thf(7922,plain,
! [SV148: $i,SV256: $i] :
( ( ( ~ ( ( SV256
!= ( k1_setfam_1 @ SV148 ) )
| ( SV256 = k1_xboole_0 ) )
| ~ ( ( SV256 != k1_xboole_0 )
| ( SV256
= ( k1_setfam_1 @ SV148 ) ) ) )
= $false )
| ( ( SV148 = k1_xboole_0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7807]) ).
thf(7923,plain,
! [SV149: $i,SV257: $i,SV348: $i] :
( ( ( ~ ( ~ ( ~ ( r2_hidden @ SV348 @ SV257 )
| ( SV348 = SV149 ) )
| ~ ( ( SV348 != SV149 )
| ( r2_hidden @ SV348 @ SV257 ) ) ) )
= $true )
| ( ( SV257
= ( k1_tarski @ SV149 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7808]) ).
thf(7924,plain,
! [SV257: $i,SV149: $i] :
( ( ( ~ ( ~ ( ~ ( r2_hidden @ ( sK35_SY781 @ SV149 @ SV257 ) @ SV257 )
| ( ( sK35_SY781 @ SV149 @ SV257 )
= SV149 ) )
| ~ ( ( ( sK35_SY781 @ SV149 @ SV257 )
!= SV149 )
| ( r2_hidden @ ( sK35_SY781 @ SV149 @ SV257 ) @ SV257 ) ) ) )
= $false )
| ( ( SV257
= ( k1_tarski @ SV149 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[7809]) ).
thf(7925,plain,
! [SV258: $i,SV150: $i] :
( ( ( ~ ~ ( r1_xboole_0 @ SV150 @ SV258 ) )
= $true )
| ( ( ~ ! [SY782: $i] :
~ ~ ( ~ ( r2_hidden @ SY782 @ SV150 )
| ~ ( r2_hidden @ SY782 @ SV258 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7810]) ).
thf(7926,plain,
! [SV258: $i,SV150: $i] :
( ( ( ~ ~ ! [SY783: $i] :
~ ~ ( ~ ( r2_hidden @ SY783 @ SV150 )
| ~ ( r2_hidden @ SY783 @ SV258 ) ) )
= $true )
| ( ( ~ ( r1_xboole_0 @ SV150 @ SV258 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7811]) ).
thf(7927,plain,
! [SV151: $i,SV259: $i,SV349: $i] :
( ( ( ~ ( ~ ( ~ ( r2_hidden @ SV349 @ SV259 )
| ~ ! [SY847: $i] :
~ ~ ( ~ ( r2_hidden @ SV349 @ SY847 )
| ~ ( r2_hidden @ SY847 @ SV151 ) ) )
| ~ ( ~ ~ ! [SY848: $i] :
~ ~ ( ~ ( r2_hidden @ SV349 @ SY848 )
| ~ ( r2_hidden @ SY848 @ SV151 ) )
| ( r2_hidden @ SV349 @ SV259 ) ) ) )
= $true )
| ( ( SV259
= ( k3_tarski @ SV151 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7812]) ).
thf(7928,plain,
! [SV259: $i,SV151: $i] :
( ( ( ~ ( ~ ( ~ ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SV259 )
| ~ ! [SY849: $i] :
~ ~ ( ~ ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SY849 )
| ~ ( r2_hidden @ SY849 @ SV151 ) ) )
| ~ ( ~ ~ ! [SY850: $i] :
~ ~ ( ~ ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SY850 )
| ~ ( r2_hidden @ SY850 @ SV151 ) )
| ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SV259 ) ) ) )
= $false )
| ( ( SV259
= ( k3_tarski @ SV151 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[7813]) ).
thf(7929,plain,
! [SV305: $i,SV153: $i,SV261: $i] :
( ( ( m1_pboole @ SV261 @ SV153 )
= $false )
| ( ( ~ ( m1_pboole @ SV305 @ SV153 ) )
= $true )
| ( ( ( k2_pboole @ SV153 @ SV261 @ SV261 )
= SV261 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7814]) ).
thf(7930,plain,
! [SV154: $i] :
( ( ( v1_setfam_1 @ SV154 )
= $false )
| ( ( v1_xboole_0 @ SV154 )
= $true )
| ( ( ! [SY651: $i] :
( ~ ( m1_subset_1 @ SY651 @ SV154 )
| ~ ( v1_xboole_0 @ SY651 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7815]) ).
thf(7931,plain,
! [SV158: $i,SV340: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ SV340 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV340 @ SV158 ) )
= $true )
| ( ( v2_setfam_1 @ SV158 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7816]) ).
thf(7932,plain,
! [SV158: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ ( sK30_SY654 @ SV158 ) ) )
= $false )
| ( ( v2_setfam_1 @ SV158 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[7817]) ).
thf(7933,plain,
! [SV158: $i] :
( ( ( ~ ( r2_hidden @ ( sK30_SY654 @ SV158 ) @ SV158 ) )
= $false )
| ( ( v2_setfam_1 @ SV158 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[7817]) ).
thf(7934,plain,
! [SV262: $i,SV159: $i] :
( ( ( SV159 = k1_xboole_0 )
= $true )
| ( ( SV262 = k1_xboole_0 )
= $true )
| ( ( ( k2_zfmisc_1 @ SV159 @ SV262 )
= k1_xboole_0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7818]) ).
thf(7935,plain,
! [SV262: $i,SV159: $i] :
( ( ( SV159 = k1_xboole_0 )
= $false )
| ( ( ( k2_zfmisc_1 @ SV159 @ SV262 )
= k1_xboole_0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[7819]) ).
thf(7936,plain,
! [SV159: $i,SV262: $i] :
( ( ( SV262 = k1_xboole_0 )
= $false )
| ( ( ( k2_zfmisc_1 @ SV159 @ SV262 )
= k1_xboole_0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[7819]) ).
thf(7937,plain,
! [SV306: $i,SV161: $i,SV263: $i] :
( ( ( m1_pboole @ SV263 @ SV161 )
= $false )
| ( ( ~ ( m1_pboole @ SV306 @ SV161 ) )
= $true )
| ( ( ~ ! [SY822: $i] :
~ ( m3_pboole @ SY822 @ SV161 @ SV263 @ SV306 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7822]) ).
thf(7938,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ( ~ ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV163 )
| ~ ( ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) )
| ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) )
| ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) ) )
| ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV163 ) ) )
= $true )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7824]) ).
thf(7939,plain,
! [SV309: $i,SV165: $i,SV266: $i] :
( ( ( m1_pboole @ SV266 @ SV165 )
= $false )
| ( ( ~ ( m1_pboole @ SV309 @ SV165 ) )
= $true )
| ( ( ~ ( r6_pboole @ SV165 @ SV266 @ SV309 )
| ( r6_pboole @ SV165 @ SV309 @ SV266 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7826]) ).
thf(7940,plain,
! [SV318: $i,SV310: $i,SV267: $i,SV166: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV166 )
| ~ ~ ( v1_xboole_0 @ SV267 ) )
| ~ ~ ( v1_xboole_0 @ SV310 ) ) )
= $true )
| ( ( ~ ~ ( v1_xboole_0 @ SV318 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k4_zfmisc_1 @ SV166 @ SV267 @ SV310 @ SV318 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7827]) ).
thf(7941,plain,
( ( r2_hidden @ sK18_SY800 @ ( k1_closure3 @ sK1_A @ sK11_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[7829]) ).
thf(7942,plain,
! [SV168: $i,SV269: $i] :
( ( ( ~ ( v3_relat_1 @ SV269 ) )
= $true )
| ( ( ! [SY801: $i] :
( ~ ( r2_hidden @ SY801 @ SV168 )
| ( v1_xboole_0 @ ( k1_funct_1 @ SV269 @ SY801 ) ) ) )
= $true )
| ( ( m1_pboole @ SV269 @ SV168 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7830]) ).
thf(7943,plain,
! [SV269: $i,SV168: $i] :
( ( ( ~ ! [SY802: $i] :
( ~ ( r2_hidden @ SY802 @ SV168 )
| ( v1_xboole_0 @ ( k1_funct_1 @ SV269 @ SY802 ) ) ) )
= $true )
| ( ( v3_relat_1 @ SV269 )
= $true )
| ( ( m1_pboole @ SV269 @ SV168 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7831]) ).
thf(7944,plain,
! [SV336: $i,SV176: $i,SV319: $i,SV39: $i] :
( ( ( ( SV39 != SV319 )
| ( SV176 != SV336 ) )
= $false )
| ( ( ( g2_struct_0 @ SV39 @ SV176 )
= ( g2_struct_0 @ SV319 @ SV336 ) )
= $false )
| ( ( m1_subset_1 @ SV176 @ SV39 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7832]) ).
thf(7945,plain,
! [SV180: $i,SV43: $i,SV270: $i,SV350: $i] :
( ( ( ~ ( ~ ( ~ ( r2_hidden @ SV350 @ SV270 )
| ~ ( ~ ( r2_hidden @ SV350 @ SV43 )
| ~ ( r2_hidden @ SV350 @ SV180 ) ) )
| ~ ( ~ ~ ( ~ ( r2_hidden @ SV350 @ SV43 )
| ~ ( r2_hidden @ SV350 @ SV180 ) )
| ( r2_hidden @ SV350 @ SV270 ) ) ) )
= $true )
| ( ( SV270
= ( k3_xboole_0 @ SV43 @ SV180 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7833]) ).
thf(7946,plain,
! [SV270: $i,SV43: $i,SV180: $i] :
( ( ( ~ ( ~ ( ~ ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV270 )
| ~ ( ~ ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV43 )
| ~ ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV180 ) ) )
| ~ ( ~ ~ ( ~ ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV43 )
| ~ ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV180 ) )
| ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV270 ) ) ) )
= $false )
| ( ( SV270
= ( k3_xboole_0 @ SV43 @ SV180 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[7834]) ).
thf(7947,plain,
! [SV181: $i,SV44: $i,SV271: $i] :
( ( ( m1_pboole @ SV271 @ SV44 )
= $false )
| ( ( m1_pboole @ SV181 @ SV44 )
= $false )
| ( ( m1_pboole @ ( k11_pboole @ SV44 @ SV181 @ SV271 ) @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7835]) ).
thf(7948,plain,
! [SV183: $i,SV48: $i,SV272: $i] :
( ( ( m1_pboole @ SV272 @ SV48 )
= $false )
| ( ( m1_pboole @ SV183 @ SV48 )
= $false )
| ( ( ( k2_pboole @ SV48 @ SV183 @ SV272 )
= ( k2_pboole @ SV48 @ SV272 @ SV183 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7836]) ).
thf(7949,plain,
! [SV341: $i,SV49: $i,SV338: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ SV338 @ SV49 )
| ~ ( r2_hidden @ SV341 @ SV49 ) )
| ~ ~ ( r2_hidden @ SV338 @ SV341 ) )
| ~ ( ( SV338 != SV341 ) ) )
| ~ ~ ( r2_hidden @ SV341 @ SV338 ) ) )
= $false )
| ( ( v2_ordinal1 @ SV49 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7837]) ).
thf(7950,plain,
! [SV49: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ ( sK26_SY444 @ SV49 ) @ SV49 )
| ~ ( r2_hidden @ ( sK31_SY844 @ SV49 ) @ SV49 ) )
| ~ ~ ( r2_hidden @ ( sK26_SY444 @ SV49 ) @ ( sK31_SY844 @ SV49 ) ) )
| ~ ( ( ( sK26_SY444 @ SV49 )
!= ( sK31_SY844 @ SV49 ) ) ) )
| ~ ~ ( r2_hidden @ ( sK31_SY844 @ SV49 ) @ ( sK26_SY444 @ SV49 ) ) ) )
= $true )
| ( ( v2_ordinal1 @ SV49 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7838]) ).
thf(7951,plain,
! [SV312: $i,SV273: $i,SV184: $i,SV50: $i] :
( ( ( ~ ~ ( ~ ( r2_hidden @ SV50 @ SV184 )
| ~ ( r2_hidden @ SV184 @ SV273 ) )
| ~ ( r2_hidden @ SV273 @ SV312 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV312 @ SV50 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7839]) ).
thf(7952,plain,
! [SV185: $i,SV52: $i,SV274: $i] :
( ( ( m1_pboole @ SV274 @ SV52 )
= $false )
| ( ( m1_pboole @ SV185 @ SV52 )
= $false )
| ( ( ! [SY806: $i] :
( ~ ( m3_pboole @ SY806 @ SV52 @ SV185 @ SV274 )
| ( m1_pboole @ SY806 @ SV52 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7840]) ).
thf(7953,plain,
! [SV55: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK22_SY454 @ SV55 ) @ ( k1_zfmisc_1 @ SV55 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV55 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[7841]) ).
thf(7954,plain,
! [SV55: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ ( sK22_SY454 @ SV55 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV55 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[7841]) ).
thf(7955,plain,
! [SV57: $i,SV187: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
| ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) ) )
| ~ ( ~ ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
| ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 ) ) )
= $true )
| ( ( ~ ! [SY690: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY690 @ SV187 )
| ( p1_s3_xboole_0 @ SY690 ) )
| ~ ( ~ ( p1_s3_xboole_0 @ SY690 )
| ( r2_hidden @ SY690 @ SV187 ) ) ) )
= $true )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7842]) ).
thf(7956,plain,
! [SV58: $i,SV188: $i] :
( ( ( ~ ( v1_xboole_0 @ SV188 ) )
= $false )
| ( ( v1_xboole_0 @ SV58 )
= $true )
| ( ( ~ ( r2_subset_1 @ SV58 @ SV58 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7843]) ).
thf(7957,plain,
! [SV321: $i,SV59: $i,SV342: $i] :
( ( ( ~ ( ( SV342
!= ( k1_closure3 @ SV59 @ SV321 ) )
| ( SV342
= ( a_2_0_closure3 @ SV59 @ SV321 ) ) )
| ~ ( ( SV342
!= ( a_2_0_closure3 @ SV59 @ SV321 ) )
| ( SV342
= ( k1_closure3 @ SV59 @ SV321 ) ) ) )
= $false )
| ( ( m1_pboole @ SV321 @ SV59 )
= $false )
| ( ( v1_xboole_0 @ SV59 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7844]) ).
thf(7958,plain,
! [SV60: $i] :
( ( ( r1_xboole_0 @ SV60 @ SV60 )
= $true )
| ( ( SV60 != k1_xboole_0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7845]) ).
thf(7959,plain,
! [SV60: $i] :
( ( ( SV60 = k1_xboole_0 )
= $true )
| ( ( ~ ( r1_xboole_0 @ SV60 @ SV60 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7846]) ).
thf(7960,plain,
! [SV275: $i,SV189: $i,SV61: $i] :
( ( ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV61 )
| ~ ( v2_relat_1 @ SV189 ) )
| ~ ( m1_pboole @ SV189 @ SV61 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV275 @ SV61 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k1_funct_1 @ SV189 @ SV275 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7847]) ).
thf(7961,plain,
! [SV190: $i,SV62: $i,SV276: $i] :
( ( ( m1_pboole @ SV276 @ SV62 )
= $false )
| ( ( m1_pboole @ SV190 @ SV62 )
= $false )
| ( ( r2_pboole @ SV62 @ SV190 @ SV190 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7848]) ).
thf(7962,plain,
! [SV313: $i,SV64: $i] :
( ( ( ~ ~ ( ~ ~ ( r2_hidden @ SV64 @ SV313 )
| ~ ( ( SV64 != SV313 ) ) ) )
= $true )
| ( ( ~ ~ ( r2_hidden @ SV313 @ SV64 ) )
= $true )
| ( ( v3_ordinal1 @ SV313 )
= $false )
| ( ( v3_ordinal1 @ SV64 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7849]) ).
thf(7963,plain,
! [SV65: $i,SV277: $i,SV192: $i] :
( ( ( v1_xboole_0 @ SV192 )
= $true )
| ( ( ~ ( m1_pboole @ SV277 @ SV192 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( r2_hidden @ SV65 @ ( a_2_0_closure3 @ SV192 @ SV277 ) )
| ~ ! [SY807: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY807 @ SV192 )
| ( SV65 != SY807 ) )
| ~ ( ( ( k1_funct_1 @ SV277 @ SY807 )
!= k1_xboole_0 ) ) ) )
| ~ ( ~ ~ ! [SY808: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY808 @ SV192 )
| ( SV65 != SY808 ) )
| ~ ( ( ( k1_funct_1 @ SV277 @ SY808 )
!= k1_xboole_0 ) ) )
| ( r2_hidden @ SV65 @ ( a_2_0_closure3 @ SV192 @ SV277 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7850]) ).
thf(7964,plain,
! [SV66: $i,SV193: $i] :
( ( ( ~ ( v1_xboole_0 @ SV193 ) )
= $false )
| ( ( v1_xboole_0 @ SV66 )
= $true )
| ( ( ~ ( r1_subset_1 @ SV66 @ SV193 )
| ( r1_subset_1 @ SV193 @ SV66 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7851]) ).
thf(7965,plain,
! [SV314: $i,SV194: $i,SV278: $i,SV68: $i] :
( ( ( ( SV68 != SV278 )
| ( SV194 != SV314 ) )
= $false )
| ( ( SV194 = k1_xboole_0 )
= $true )
| ( ( SV68 = k1_xboole_0 )
= $true )
| ( ( ( k2_zfmisc_1 @ SV68 @ SV194 )
= ( k2_zfmisc_1 @ SV278 @ SV314 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7852]) ).
thf(7966,plain,
! [SV195: $i,SV69: $i,SV279: $i] :
( ( ( m1_pboole @ SV279 @ SV69 )
= $false )
| ( ( m1_pboole @ SV195 @ SV69 )
= $false )
| ( ( m1_pboole @ ( k2_pboole @ SV69 @ SV195 @ SV279 ) @ SV69 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7853]) ).
thf(7967,plain,
! [SV197: $i,SV72: $i,SV280: $i] :
( ( ( m1_pboole @ SV280 @ SV72 )
= $false )
| ( ( m1_pboole @ SV197 @ SV72 )
= $false )
| ( ( m1_pboole @ ( k4_pboole @ SV72 @ SV197 @ SV280 ) @ SV72 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7854]) ).
thf(7968,plain,
! [SV198: $i,SV73: $i] :
( ( ( ~ ! [SY482: $i] :
~ ~ ( ~ ( r2_hidden @ SY482 @ SV73 )
| ~ ! [SX3: $i,SX4: $i] :
( SY482
!= ( k4_tarski @ SX3 @ SX4 ) ) ) )
= $true )
| ( ( ~ ! [SY704: $i] :
~ ~ ( ~ ( r2_hidden @ SY704 @ SV198 )
| ~ ! [SX3: $i,SX4: $i] :
( SY704
!= ( k4_tarski @ SX3 @ SX4 ) ) ) )
= $true )
| ( ( ~ ! [SY707: $i,SY708: $i] :
~ ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 ) )
| ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 ) ) ) )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7855]) ).
thf(7969,plain,
! [SV74: $i,SV199: $i] :
( ( ( r2_hidden @ ( sK27_SY709 @ SV199 @ SV74 ) @ SV74 )
= $true )
| ( ( SV199
= ( k1_pboole @ SV74 ) )
= $true )
| ( ( m1_pboole @ SV199 @ SV74 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7856]) ).
thf(7970,plain,
! [SV323: $i,SV200: $i,SV76: $i] :
( ( ( ~ ( ~ ( r1_pboole @ SV76 @ SV200 @ SV323 )
| ! [SY830: $i] :
( ~ ( r2_hidden @ SY830 @ SV76 )
| ( r2_hidden @ ( k1_funct_1 @ SV200 @ SY830 ) @ ( k1_funct_1 @ SV323 @ SY830 ) ) ) ) )
= $false )
| ( ( m1_pboole @ SV323 @ SV76 )
= $false )
| ( ( m1_pboole @ SV200 @ SV76 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7859]) ).
thf(7971,plain,
! [SV323: $i,SV200: $i,SV76: $i] :
( ( ( ~ ( ~ ! [SY831: $i] :
( ~ ( r2_hidden @ SY831 @ SV76 )
| ( r2_hidden @ ( k1_funct_1 @ SV200 @ SY831 ) @ ( k1_funct_1 @ SV323 @ SY831 ) ) )
| ( r1_pboole @ SV76 @ SV200 @ SV323 ) ) )
= $false )
| ( ( m1_pboole @ SV323 @ SV76 )
= $false )
| ( ( m1_pboole @ SV200 @ SV76 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7859]) ).
thf(7972,plain,
! [SV201: $i,SV77: $i,SV281: $i] :
( ( ( m1_pboole @ SV281 @ SV77 )
= $false )
| ( ( m1_pboole @ SV201 @ SV77 )
= $false )
| ( ( ( k3_pboole @ SV77 @ SV201 @ SV201 )
= SV201 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7860]) ).
thf(7973,plain,
! [SV283: $i,SV203: $i,SV79: $i] :
( ( ( ~ ( r2_hidden @ SV79 @ SV203 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV203 @ ( k1_zfmisc_1 @ SV283 ) ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV283 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7861]) ).
thf(7974,plain,
! [SV324: $i,SV315: $i,SV284: $i,SV204: $i,SV80: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ SV80 @ SV204 )
| ~ ( r2_hidden @ SV204 @ SV284 ) )
| ~ ( r2_hidden @ SV284 @ SV315 ) )
| ~ ( r2_hidden @ SV315 @ SV324 ) ) )
= $false )
| ( ( ~ ( r2_hidden @ SV324 @ SV80 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7862]) ).
thf(7975,plain,
! [SV205: $i,SV81: $i,SV285: $i] :
( ( ( m1_pboole @ SV285 @ SV81 )
= $false )
| ( ( m1_pboole @ SV205 @ SV81 )
= $false )
| ( ( ~ ( r5_pboole @ SV81 @ SV205 @ SV285 )
| ( r5_pboole @ SV81 @ SV285 @ SV205 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7863]) ).
thf(7976,plain,
! [SV206: $i,SV82: $i,SV286: $i,SV351: $i] :
( ( ( ~ ( ~ ( ~ ( r2_hidden @ SV351 @ SV286 )
| ( r2_hidden @ SV351 @ SV82 )
| ( r2_hidden @ SV351 @ SV206 ) )
| ~ ( ~ ( ( r2_hidden @ SV351 @ SV82 )
| ( r2_hidden @ SV351 @ SV206 ) )
| ( r2_hidden @ SV351 @ SV286 ) ) ) )
= $true )
| ( ( SV286
= ( k2_xboole_0 @ SV82 @ SV206 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7864]) ).
thf(7977,plain,
! [SV286: $i,SV82: $i,SV206: $i] :
( ( ( ~ ( ~ ( ~ ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV286 )
| ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV82 )
| ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV206 ) )
| ~ ( ~ ( ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV82 )
| ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV206 ) )
| ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV286 ) ) ) )
= $false )
| ( ( SV286
= ( k2_xboole_0 @ SV82 @ SV206 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[7865]) ).
thf(7978,plain,
! [SV337: $i,SV325: $i,SV316: $i,SV287: $i,SV207: $i,SV84: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ SV84 @ SV207 )
| ~ ( r2_hidden @ SV207 @ SV287 ) )
| ~ ( r2_hidden @ SV287 @ SV316 ) )
| ~ ( r2_hidden @ SV316 @ SV325 ) )
| ~ ( r2_hidden @ SV325 @ SV337 ) ) )
= $true )
| ( ( ~ ( r2_hidden @ SV337 @ SV84 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7866]) ).
thf(7979,plain,
! [SV85: $i,SV208: $i] :
( ( ( ~ ( ~ ( m1_subset_1 @ SV208 @ SV85 )
| ( r2_hidden @ SV208 @ SV85 ) )
| ~ ( ~ ( r2_hidden @ SV208 @ SV85 )
| ( m1_subset_1 @ SV208 @ SV85 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7867]) ).
thf(7980,plain,
! [SV85: $i,SV208: $i] :
( ( ( ~ ( ~ ( m1_subset_1 @ SV208 @ SV85 )
| ( v1_xboole_0 @ SV208 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV85 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7868]) ).
thf(7981,plain,
! [SV85: $i,SV208: $i] :
( ( ( ~ ( ~ ( v1_xboole_0 @ SV208 )
| ( m1_subset_1 @ SV208 @ SV85 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV85 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7868]) ).
thf(7982,plain,
! [SV209: $i,SV86: $i,SV288: $i] :
( ( ( m1_pboole @ SV288 @ SV86 )
= $false )
| ( ( m1_pboole @ SV209 @ SV86 )
= $false )
| ( ( ( k3_pboole @ SV86 @ SV209 @ SV288 )
= ( k3_pboole @ SV86 @ SV288 @ SV209 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7869]) ).
thf(7983,plain,
! [SV326: $i,SV211: $i,SV90: $i] :
( ( ( ! [SY833: $i] :
( ~ ( r2_hidden @ SY833 @ SV90 )
| ( ( k1_funct_1 @ SV211 @ SY833 )
= ( k1_funct_1 @ SV326 @ SY833 ) ) ) )
= $false )
| ( ( SV211 = SV326 )
= $true )
| ( ( m1_pboole @ SV326 @ SV90 )
= $false )
| ( ( m1_pboole @ SV211 @ SV90 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7870]) ).
thf(7984,plain,
! [SV91: $i,SV289: $i,SV212: $i] :
( ( ( m1_subset_1 @ SV212 @ ( k1_zfmisc_1 @ SV289 ) )
= $false )
| ( ( r2_hidden @ SV91 @ SV212 )
= $false )
| ( ( m1_subset_1 @ SV91 @ SV289 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7871]) ).
thf(7985,plain,
! [SV213: $i,SV92: $i,SV290: $i] :
( ( ( m1_pboole @ SV290 @ SV92 )
= $false )
| ( ( m1_pboole @ SV213 @ SV92 )
= $false )
| ( ( m1_pboole @ ( k12_pboole @ SV92 @ SV213 @ SV290 ) @ SV92 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7872]) ).
thf(7986,plain,
! [SV93: $i] :
( ( ( v1_realset1 @ SV93 )
= $true )
| ( ( ~ ! [SY530: $i,SY531: $i] :
~ ~ ( ~ ~ ( ~ ( r2_hidden @ SY530 @ SV93 )
| ~ ( r2_hidden @ SY531 @ SV93 ) )
| ~ ( ( SY530 != SY531 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7873]) ).
thf(7987,plain,
! [SV93: $i] :
( ( ( ! [SY532: $i] :
~ ~ ! [SY533: $i] :
~ ~ ( ~ ~ ( ~ ( r2_hidden @ SY532 @ SV93 )
| ~ ( r2_hidden @ SY533 @ SV93 ) )
| ~ ( ( SY532 != SY533 ) ) ) )
= $true )
| ( ( ~ ( v1_realset1 @ SV93 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7874]) ).
thf(7988,plain,
! [SV97: $i] :
( ( ( ~ ( v3_ordinal1 @ ( sK15_SY536 @ SV97 ) )
| ( r2_hidden @ ( sK15_SY536 @ SV97 ) @ SV97 ) )
= $false )
| ( ( r2_hidden @ ( sK15_SY536 @ SV97 ) @ SV97 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7878]) ).
thf(7989,plain,
! [SV97: $i] :
( ( ( ~ ( v3_ordinal1 @ ( sK15_SY536 @ SV97 ) ) )
= $false )
| ( ( v3_ordinal1 @ ( sK15_SY536 @ SV97 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7879]) ).
thf(7990,plain,
! [SV97: $i] :
( ( ( r2_hidden @ ( sK15_SY536 @ SV97 ) @ SV97 )
= $false )
| ( ( v3_ordinal1 @ ( sK15_SY536 @ SV97 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7879]) ).
thf(7991,plain,
! [SV99: $i,SV217: $i] :
( ( ( ~ ( v1_xboole_0 @ SV217 ) )
= $false )
| ( ( v1_xboole_0 @ SV99 )
= $true )
| ( ( ~ ( r1_subset_1 @ SV99 @ SV99 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7880]) ).
thf(7992,plain,
! [SV218: $i,SV100: $i,SV291: $i] :
( ( ( m1_pboole @ SV291 @ SV100 )
= $false )
| ( ( m1_pboole @ SV218 @ SV100 )
= $false )
| ( ( ~ ( r4_pboole @ SV100 @ SV218 @ SV291 )
| ( r4_pboole @ SV100 @ SV291 @ SV218 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7881]) ).
thf(7993,plain,
! [SV317: $i,SV292: $i,SV219: $i,SV101: $i] :
( ( ( ( k1_funct_1 @ ( k4_funct_4 @ SV101 @ SV219 @ SV292 @ SV317 ) @ SV101 )
!= SV292 )
= $false )
| ( ( SV101 = SV219 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[7882]) ).
thf(7994,plain,
! [SV317: $i,SV292: $i,SV219: $i,SV101: $i] :
( ( ( ( k1_funct_1 @ ( k4_funct_4 @ SV101 @ SV219 @ SV292 @ SV317 ) @ SV219 )
!= SV317 )
= $false )
| ( ( SV101 = SV219 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[7882]) ).
thf(7995,plain,
! [SV221: $i,SV103: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK33_SY736 @ SV103 @ SV221 ) @ SV221 )
| ~ ! [SY845: $i] :
~ ~ ( ~ ( r2_hidden @ SY845 @ SV221 )
| ~ ( r2_hidden @ SY845 @ ( sK33_SY736 @ SV103 @ SV221 ) ) ) ) )
= $true )
| ( ( r2_hidden @ SV103 @ SV221 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7883]) ).
thf(7996,plain,
! [SV222: $i,SV104: $i,SV293: $i,SV352: $i] :
( ( ( ~ ( ~ ( ~ ( r2_hidden @ SV352 @ SV293 )
| ~ ( ~ ( r2_hidden @ SV352 @ SV104 )
| ~ ~ ( r2_hidden @ SV352 @ SV222 ) ) )
| ~ ( ~ ~ ( ~ ( r2_hidden @ SV352 @ SV104 )
| ~ ~ ( r2_hidden @ SV352 @ SV222 ) )
| ( r2_hidden @ SV352 @ SV293 ) ) ) )
= $true )
| ( ( SV293
= ( k4_xboole_0 @ SV104 @ SV222 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7884]) ).
thf(7997,plain,
! [SV293: $i,SV104: $i,SV222: $i] :
( ( ( ~ ( ~ ( ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV293 )
| ~ ( ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV104 )
| ~ ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV222 ) ) )
| ~ ( ~ ~ ( ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV104 )
| ~ ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV222 ) )
| ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV293 ) ) ) )
= $false )
| ( ( SV293
= ( k4_xboole_0 @ SV104 @ SV222 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[7885]) ).
thf(7998,plain,
! [SV105: $i,SV223: $i] :
( ( ( ~ ( v1_xboole_0 @ SV223 ) )
= $false )
| ( ( v1_xboole_0 @ SV105 )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ SV105 @ SV223 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7886]) ).
thf(7999,plain,
! [SV224: $i,SV106: $i,SV294: $i] :
( ( ( m1_pboole @ SV294 @ SV106 )
= $false )
| ( ( m1_pboole @ SV224 @ SV106 )
= $false )
| ( ( m1_pboole @ ( k3_pboole @ SV106 @ SV224 @ SV294 ) @ SV106 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7887]) ).
thf(8000,plain,
! [SV225: $i,SV107: $i,SV295: $i] :
( ( ( m1_pboole @ SV295 @ SV107 )
= $false )
| ( ( m1_pboole @ SV225 @ SV107 )
= $false )
| ( ( ( k5_pboole @ SV107 @ SV225 @ SV295 )
= ( k5_pboole @ SV107 @ SV295 @ SV225 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7888]) ).
thf(8001,plain,
! [SV226: $i,SV108: $i] :
( ( ( v1_xboole_0 @ SV108 )
= $false )
| ( ( ~ ( ( SV108 != SV226 ) ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV226 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7889]) ).
thf(8002,plain,
! [SV296: $i,SV228: $i,SV110: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ SV110 )
| ~ ( m1_pboole @ SV228 @ SV110 ) )
= $true )
| ( ( ~ ( m1_pboole @ SV296 @ SV110 ) )
= $true )
| ( ( ~ ( r3_pboole @ SV110 @ SV228 @ SV296 )
| ~ ( r3_pboole @ SV110 @ SV296 @ SV228 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7890]) ).
thf(8003,plain,
! [SV114: $i,SV230: $i] :
( ( ( SV230 = k1_xboole_0 )
= $true )
| ( ( ~ ! [SY744: $i] :
( ~ ( m1_subset_1 @ SY744 @ SV114 )
| ~ ( r2_hidden @ SY744 @ SV230 ) ) )
= $true )
| ( ( m1_subset_1 @ SV230 @ ( k1_zfmisc_1 @ SV114 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7891]) ).
thf(8004,plain,
! [SV231: $i,SV116: $i,SV328: $i] :
( ( ( ~ ( ~ ( m2_pboole @ SV328 @ SV116 @ SV231 )
| ! [SY834: $i] :
( ~ ( r2_hidden @ SY834 @ SV116 )
| ( m1_subset_1 @ ( k1_funct_1 @ SV328 @ SY834 ) @ ( k1_funct_1 @ SV231 @ SY834 ) ) ) ) )
= $false )
| ( ( m1_pboole @ SV328 @ SV116 )
= $false )
| ( ( m1_pboole @ SV231 @ SV116 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7894]) ).
thf(8005,plain,
! [SV231: $i,SV328: $i,SV116: $i] :
( ( ( ~ ( ~ ! [SY835: $i] :
( ~ ( r2_hidden @ SY835 @ SV116 )
| ( m1_subset_1 @ ( k1_funct_1 @ SV328 @ SY835 ) @ ( k1_funct_1 @ SV231 @ SY835 ) ) )
| ( m2_pboole @ SV328 @ SV116 @ SV231 ) ) )
= $false )
| ( ( m1_pboole @ SV328 @ SV116 )
= $false )
| ( ( m1_pboole @ SV231 @ SV116 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7894]) ).
thf(8006,plain,
! [SV329: $i,SV232: $i,SV117: $i,SV343: $i] :
( ( ( ~ ( m1_pboole @ SV343 @ SV117 ) )
= $true )
| ( ( ~ ~ ( ~ ( r2_pboole @ SV117 @ SV232 @ SV329 )
| ~ ( r2_pboole @ SV117 @ SV329 @ SV343 ) )
| ( r2_pboole @ SV117 @ SV232 @ SV343 ) )
= $true )
| ( ( m1_pboole @ SV329 @ SV117 )
= $false )
| ( ( m1_pboole @ SV232 @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7895]) ).
thf(8007,plain,
! [SV233: $i,SV119: $i,SV344: $i] :
( ( ( ~ ( r2_hidden @ SV344 @ SV119 ) )
= $true )
| ( ( r2_hidden @ SV344 @ SV233 )
= $true )
| ( ( r1_tarski @ SV119 @ SV233 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7896]) ).
thf(8008,plain,
! [SV119: $i,SV233: $i] :
( ( ( ~ ( r2_hidden @ ( sK34_SY751 @ SV233 @ SV119 ) @ SV119 ) )
= $false )
| ( ( r1_tarski @ SV119 @ SV233 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[7897]) ).
thf(8009,plain,
! [SV119: $i,SV233: $i] :
( ( ( r2_hidden @ ( sK34_SY751 @ SV233 @ SV119 ) @ SV233 )
= $false )
| ( ( r1_tarski @ SV119 @ SV233 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[7897]) ).
thf(8010,plain,
! [SV330: $i,SV120: $i,SV345: $i] :
( ( ( ~ ( m1_pboole @ SV345 @ SV120 ) )
= $true )
| ( ( ( k1_funct_4 @ SV330 @ SV345 )
= SV345 )
= $true )
| ( ( m1_pboole @ SV330 @ SV120 )
= $false )
| ( ( v1_xboole_0 @ SV120 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7898]) ).
thf(8011,plain,
! [SV122: $i,SV331: $i,SV346: $i] :
( ( ( ~ ( m1_subset_1 @ SV346 @ ( k2_relat_1 @ SV331 ) ) )
= $true )
| ( ( ~ ! [SY846: $i] :
~ ~ ( ~ ( r2_hidden @ SY846 @ SV122 )
| ( SV346
!= ( k1_funct_1 @ SV331 @ SY846 ) ) ) )
= $true )
| ( ( m1_pboole @ SV331 @ SV122 )
= $false )
| ( ( v1_xboole_0 @ SV122 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7899]) ).
thf(8012,plain,
! [SV297: $i,SV234: $i,SV123: $i] :
( ( ( ~ ( r2_hidden @ SV123 @ SV234 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV234 @ SV297 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV297 @ SV123 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7900]) ).
thf(8013,plain,
! [SV124: $i,SV235: $i] :
( ( ( m1_subset_1 @ ( sK29_SY753 @ SV235 @ SV124 ) @ SV124 )
= $true )
| ( ( SV124 = SV235 )
= $true )
| ( ( m1_subset_1 @ SV235 @ ( k1_zfmisc_1 @ SV124 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7901]) ).
thf(8014,plain,
! [SV236: $i,SV125: $i,SV298: $i] :
( ( ( m1_pboole @ SV298 @ SV125 )
= $false )
| ( ( m1_pboole @ SV236 @ SV125 )
= $false )
| ( ( r7_pboole @ SV125 @ SV236 @ SV236 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7903]) ).
thf(8015,plain,
! [SV332: $i,SV239: $i,SV129: $i] :
( ( ( ! [SY840: $i] :
( ~ ( m1_subset_1 @ SY840 @ SV129 )
| ~ ( ~ ( ~ ( r2_hidden @ SY840 @ SV239 )
| ( r2_hidden @ SY840 @ SV332 ) )
| ~ ( ~ ( r2_hidden @ SY840 @ SV332 )
| ( r2_hidden @ SY840 @ SV239 ) ) ) ) )
= $false )
| ( ( SV239 = SV332 )
= $true )
| ( ( m1_subset_1 @ SV332 @ ( k1_zfmisc_1 @ SV129 ) )
= $false )
| ( ( m1_subset_1 @ SV239 @ ( k1_zfmisc_1 @ SV129 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7904]) ).
thf(8016,plain,
! [SV242: $i,SV133: $i] :
( ( ( SV133
!= ( k1_tarski @ SV242 ) )
= $false )
| ( ( ~ ( ( SV133 != k1_xboole_0 ) ) )
= $true )
| ( ( ~ ! [SY758: $i] :
~ ~ ( ~ ( r2_hidden @ SY758 @ SV133 )
| ~ ( ( SY758 != SV242 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7905]) ).
thf(8017,plain,
! [SV299: $i,SV243: $i,SV134: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ SV134 )
| ~ ~ ( v1_xboole_0 @ SV243 ) )
= $true )
| ( ( ~ ~ ( v1_xboole_0 @ SV299 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k3_zfmisc_1 @ SV134 @ SV243 @ SV299 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7906]) ).
thf(8018,plain,
! [SV135: $i,SV244: $i] :
( ( ( ~ ( r2_hidden @ ( sK19_SY760 @ SV244 @ SV135 ) @ SV135 ) )
= $false )
| ( ( ~ ( ~ ( r2_hidden @ ( sK19_SY760 @ SV244 @ SV135 ) @ SV244 )
| ( r2_hidden @ ( sK19_SY760 @ SV244 @ SV135 ) @ SV135 ) ) )
= $true )
| ( ( SV135 = SV244 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[7907]) ).
thf(8019,plain,
! [SV135: $i,SV244: $i] :
( ( ( r2_hidden @ ( sK19_SY760 @ SV244 @ SV135 ) @ SV244 )
= $false )
| ( ( ~ ( ~ ( r2_hidden @ ( sK19_SY760 @ SV244 @ SV135 ) @ SV244 )
| ( r2_hidden @ ( sK19_SY760 @ SV244 @ SV135 ) @ SV135 ) ) )
= $true )
| ( ( SV135 = SV244 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[7907]) ).
thf(8020,plain,
! [SV333: $i,SV245: $i,SV136: $i] :
( ( ( ! [SY841: $i] :
( ~ ( m1_subset_1 @ SY841 @ ( k1_zfmisc_1 @ SV136 ) )
| ~ ( ~ ( ~ ( r2_hidden @ SY841 @ SV245 )
| ( r2_hidden @ SY841 @ SV333 ) )
| ~ ( ~ ( r2_hidden @ SY841 @ SV333 )
| ( r2_hidden @ SY841 @ SV245 ) ) ) ) )
= $false )
| ( ( SV245 = SV333 )
= $true )
| ( ( m1_subset_1 @ SV333 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV136 ) ) )
= $false )
| ( ( m1_subset_1 @ SV245 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV136 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7908]) ).
thf(8021,plain,
! [SV246: $i,SV137: $i,SV300: $i] :
( ( ( m1_pboole @ SV300 @ SV137 )
= $false )
| ( ( m1_pboole @ SV246 @ SV137 )
= $false )
| ( ( r6_pboole @ SV137 @ SV246 @ SV246 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7909]) ).
thf(8022,plain,
! [SV138: $i,SV247: $i] :
( ( ( ~ ( v1_xboole_0 @ SV247 ) )
= $false )
| ( ( v1_xboole_0 @ SV138 )
= $true )
| ( ( ~ ( r2_subset_1 @ SV138 @ SV247 )
| ( r2_subset_1 @ SV247 @ SV138 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7910]) ).
thf(8023,plain,
! [SV139: $i,SV248: $i] :
( ( ( v2_relat_1 @ SV248 )
= $false )
| ( ( ! [SY764: $i] :
~ ~ ( ~ ( r2_hidden @ SY764 @ SV139 )
| ~ ( v1_xboole_0 @ ( k1_funct_1 @ SV248 @ SY764 ) ) ) )
= $true )
| ( ( m1_pboole @ SV248 @ SV139 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7911]) ).
thf(8024,plain,
! [SV248: $i,SV139: $i] :
( ( ( ! [SY765: $i] :
~ ~ ( ~ ( r2_hidden @ SY765 @ SV139 )
| ~ ( v1_xboole_0 @ ( k1_funct_1 @ SV248 @ SY765 ) ) ) )
= $false )
| ( ( v2_relat_1 @ SV248 )
= $true )
| ( ( m1_pboole @ SV248 @ SV139 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7912]) ).
thf(8025,plain,
! [SV249: $i,SV140: $i,SV301: $i,SV353: $i] :
( ( ( ~ ( ~ ( ~ ( r2_hidden @ SV353 @ SV301 )
| ( SV353 = SV140 )
| ( SV353 = SV249 ) )
| ~ ( ~ ( ( SV353 = SV140 )
| ( SV353 = SV249 ) )
| ( r2_hidden @ SV353 @ SV301 ) ) ) )
= $true )
| ( ( SV301
= ( k2_tarski @ SV140 @ SV249 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7913]) ).
thf(8026,plain,
! [SV301: $i,SV140: $i,SV249: $i] :
( ( ( ~ ( ~ ( ~ ( r2_hidden @ ( sK40_SY821 @ SV249 @ SV140 @ SV301 ) @ SV301 )
| ( ( sK40_SY821 @ SV249 @ SV140 @ SV301 )
= SV140 )
| ( ( sK40_SY821 @ SV249 @ SV140 @ SV301 )
= SV249 ) )
| ~ ( ~ ( ( ( sK40_SY821 @ SV249 @ SV140 @ SV301 )
= SV140 )
| ( ( sK40_SY821 @ SV249 @ SV140 @ SV301 )
= SV249 ) )
| ( r2_hidden @ ( sK40_SY821 @ SV249 @ SV140 @ SV301 ) @ SV301 ) ) ) )
= $false )
| ( ( SV301
= ( k2_tarski @ SV140 @ SV249 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[7914]) ).
thf(8027,plain,
! [SV302: $i,SV250: $i,SV141: $i] :
( ( ( ~ ( ~ ( ~ ( r2_hidden @ SV141 @ SV250 )
| ( r2_hidden @ SV141 @ SV302 ) )
| ~ ( ~ ( r2_hidden @ SV141 @ SV302 )
| ( r2_hidden @ SV141 @ SV250 ) ) ) )
= $false )
| ( ( r2_hidden @ SV141 @ ( k5_xboole_0 @ SV250 @ SV302 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7915]) ).
thf(8028,plain,
! [SV302: $i,SV250: $i,SV141: $i] :
( ( ( ~ ( ~ ( ~ ( r2_hidden @ SV141 @ SV250 )
| ( r2_hidden @ SV141 @ SV302 ) )
| ~ ( ~ ( r2_hidden @ SV141 @ SV302 )
| ( r2_hidden @ SV141 @ SV250 ) ) ) )
= $true )
| ( ( r2_hidden @ SV141 @ ( k5_xboole_0 @ SV250 @ SV302 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7916]) ).
thf(8029,plain,
! [SV252: $i,SV143: $i,SV303: $i] :
( ( ( m1_pboole @ SV303 @ SV143 )
= $false )
| ( ( m1_pboole @ SV252 @ SV143 )
= $false )
| ( ( m1_pboole @ ( k5_pboole @ SV143 @ SV252 @ SV303 ) @ SV143 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7917]) ).
thf(8030,plain,
! [SV334: $i,SV253: $i,SV144: $i,SV347: $i] :
( ( ( ~ ( m1_pboole @ SV347 @ SV144 ) )
= $true )
| ( ( ~ ~ ( ~ ( r7_pboole @ SV144 @ SV253 @ SV334 )
| ~ ( r7_pboole @ SV144 @ SV334 @ SV347 ) )
| ( r7_pboole @ SV144 @ SV253 @ SV347 ) )
= $true )
| ( ( m1_pboole @ SV334 @ SV144 )
= $false )
| ( ( m1_pboole @ SV253 @ SV144 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7918]) ).
thf(8031,plain,
! [SV254: $i,SV145: $i,SV304: $i] :
( ( ( m1_pboole @ SV304 @ SV145 )
= $false )
| ( ( m1_pboole @ SV254 @ SV145 )
= $false )
| ( ( ~ ( ~ ( ~ ( r6_pboole @ SV145 @ SV254 @ SV304 )
| ( SV254 = SV304 ) )
| ~ ( ( SV254 != SV304 )
| ( r6_pboole @ SV145 @ SV254 @ SV304 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7919]) ).
thf(8032,plain,
! [SV146: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK24_SY626 @ SV146 ) @ SV146 ) )
= $false )
| ( ( v2_setfam_1 @ SV146 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[7920]) ).
thf(8033,plain,
! [SV146: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ ( sK24_SY626 @ SV146 ) ) )
= $false )
| ( ( v2_setfam_1 @ SV146 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[7920]) ).
thf(8034,plain,
! [SV148: $i,SV256: $i] :
( ( ( ~ ( ( SV256
!= ( k1_setfam_1 @ SV148 ) )
| ! [SY774: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY774 @ SV256 )
| ! [SY630: $i] :
( ~ ( r2_hidden @ SY630 @ SV148 )
| ( r2_hidden @ SY774 @ SY630 ) ) )
| ~ ( ~ ! [SY631: $i] :
( ~ ( r2_hidden @ SY631 @ SV148 )
| ( r2_hidden @ SY774 @ SY631 ) )
| ( r2_hidden @ SY774 @ SV256 ) ) ) )
| ~ ( ~ ! [SY777: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY777 @ SV256 )
| ! [SY633: $i] :
( ~ ( r2_hidden @ SY633 @ SV148 )
| ( r2_hidden @ SY777 @ SY633 ) ) )
| ~ ( ~ ! [SY634: $i] :
( ~ ( r2_hidden @ SY634 @ SV148 )
| ( r2_hidden @ SY777 @ SY634 ) )
| ( r2_hidden @ SY777 @ SV256 ) ) )
| ( SV256
= ( k1_setfam_1 @ SV148 ) ) ) )
= $false )
| ( ( SV148 = k1_xboole_0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7921]) ).
thf(8035,plain,
! [SV148: $i,SV256: $i] :
( ( ( ~ ( ( SV256
!= ( k1_setfam_1 @ SV148 ) )
| ( SV256 = k1_xboole_0 ) ) )
= $false )
| ( ( SV148 = k1_xboole_0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7922]) ).
thf(8036,plain,
! [SV148: $i,SV256: $i] :
( ( ( ~ ( ( SV256 != k1_xboole_0 )
| ( SV256
= ( k1_setfam_1 @ SV148 ) ) ) )
= $false )
| ( ( SV148 = k1_xboole_0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7922]) ).
thf(8037,plain,
! [SV149: $i,SV257: $i,SV348: $i] :
( ( ( ~ ( ~ ( r2_hidden @ SV348 @ SV257 )
| ( SV348 = SV149 ) )
| ~ ( ( SV348 != SV149 )
| ( r2_hidden @ SV348 @ SV257 ) ) )
= $false )
| ( ( SV257
= ( k1_tarski @ SV149 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7923]) ).
thf(8038,plain,
! [SV257: $i,SV149: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK35_SY781 @ SV149 @ SV257 ) @ SV257 )
| ( ( sK35_SY781 @ SV149 @ SV257 )
= SV149 ) )
| ~ ( ( ( sK35_SY781 @ SV149 @ SV257 )
!= SV149 )
| ( r2_hidden @ ( sK35_SY781 @ SV149 @ SV257 ) @ SV257 ) ) )
= $true )
| ( ( SV257
= ( k1_tarski @ SV149 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7924]) ).
thf(8039,plain,
! [SV258: $i,SV150: $i] :
( ( ( ~ ( r1_xboole_0 @ SV150 @ SV258 ) )
= $false )
| ( ( ~ ! [SY782: $i] :
~ ~ ( ~ ( r2_hidden @ SY782 @ SV150 )
| ~ ( r2_hidden @ SY782 @ SV258 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7925]) ).
thf(8040,plain,
! [SV258: $i,SV150: $i] :
( ( ( ~ ! [SY783: $i] :
~ ~ ( ~ ( r2_hidden @ SY783 @ SV150 )
| ~ ( r2_hidden @ SY783 @ SV258 ) ) )
= $false )
| ( ( ~ ( r1_xboole_0 @ SV150 @ SV258 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7926]) ).
thf(8041,plain,
! [SV151: $i,SV259: $i,SV349: $i] :
( ( ( ~ ( ~ ( r2_hidden @ SV349 @ SV259 )
| ~ ! [SY847: $i] :
~ ~ ( ~ ( r2_hidden @ SV349 @ SY847 )
| ~ ( r2_hidden @ SY847 @ SV151 ) ) )
| ~ ( ~ ~ ! [SY848: $i] :
~ ~ ( ~ ( r2_hidden @ SV349 @ SY848 )
| ~ ( r2_hidden @ SY848 @ SV151 ) )
| ( r2_hidden @ SV349 @ SV259 ) ) )
= $false )
| ( ( SV259
= ( k3_tarski @ SV151 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7927]) ).
thf(8042,plain,
! [SV259: $i,SV151: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SV259 )
| ~ ! [SY849: $i] :
~ ~ ( ~ ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SY849 )
| ~ ( r2_hidden @ SY849 @ SV151 ) ) )
| ~ ( ~ ~ ! [SY850: $i] :
~ ~ ( ~ ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SY850 )
| ~ ( r2_hidden @ SY850 @ SV151 ) )
| ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SV259 ) ) )
= $true )
| ( ( SV259
= ( k3_tarski @ SV151 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7928]) ).
thf(8043,plain,
! [SV261: $i,SV153: $i,SV305: $i] :
( ( ( m1_pboole @ SV305 @ SV153 )
= $false )
| ( ( m1_pboole @ SV261 @ SV153 )
= $false )
| ( ( ( k2_pboole @ SV153 @ SV261 @ SV261 )
= SV261 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7929]) ).
thf(8044,plain,
! [SV154: $i,SV354: $i] :
( ( ( ~ ( m1_subset_1 @ SV354 @ SV154 )
| ~ ( v1_xboole_0 @ SV354 ) )
= $true )
| ( ( v1_xboole_0 @ SV154 )
= $true )
| ( ( v1_setfam_1 @ SV154 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7930]) ).
thf(8045,plain,
! [SV158: $i,SV340: $i] :
( ( ( ~ ( v1_xboole_0 @ SV340 ) )
= $false )
| ( ( ~ ( r2_hidden @ SV340 @ SV158 ) )
= $true )
| ( ( v2_setfam_1 @ SV158 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7931]) ).
thf(8046,plain,
! [SV158: $i] :
( ( ( ~ ( v1_xboole_0 @ ( sK30_SY654 @ SV158 ) ) )
= $true )
| ( ( v2_setfam_1 @ SV158 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7932]) ).
thf(8047,plain,
! [SV158: $i] :
( ( ( r2_hidden @ ( sK30_SY654 @ SV158 ) @ SV158 )
= $true )
| ( ( v2_setfam_1 @ SV158 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7933]) ).
thf(8048,plain,
! [SV263: $i,SV161: $i,SV306: $i] :
( ( ( m1_pboole @ SV306 @ SV161 )
= $false )
| ( ( m1_pboole @ SV263 @ SV161 )
= $false )
| ( ( ~ ! [SY822: $i] :
~ ( m3_pboole @ SY822 @ SV161 @ SV263 @ SV306 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7937]) ).
thf(8049,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV163 )
| ~ ( ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) )
| ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) )
| ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) ) )
| ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV163 ) ) )
= $true )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7938]) ).
thf(8050,plain,
! [SV266: $i,SV165: $i,SV309: $i] :
( ( ( m1_pboole @ SV309 @ SV165 )
= $false )
| ( ( m1_pboole @ SV266 @ SV165 )
= $false )
| ( ( ~ ( r6_pboole @ SV165 @ SV266 @ SV309 )
| ( r6_pboole @ SV165 @ SV309 @ SV266 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7939]) ).
thf(8051,plain,
! [SV318: $i,SV310: $i,SV267: $i,SV166: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV166 )
| ~ ~ ( v1_xboole_0 @ SV267 ) )
| ~ ~ ( v1_xboole_0 @ SV310 ) ) )
= $false )
| ( ( ~ ~ ( v1_xboole_0 @ SV318 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k4_zfmisc_1 @ SV166 @ SV267 @ SV310 @ SV318 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7940]) ).
thf(8052,plain,
! [SV168: $i,SV269: $i] :
( ( ( v3_relat_1 @ SV269 )
= $false )
| ( ( ! [SY801: $i] :
( ~ ( r2_hidden @ SY801 @ SV168 )
| ( v1_xboole_0 @ ( k1_funct_1 @ SV269 @ SY801 ) ) ) )
= $true )
| ( ( m1_pboole @ SV269 @ SV168 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7942]) ).
thf(8053,plain,
! [SV269: $i,SV168: $i] :
( ( ( ! [SY802: $i] :
( ~ ( r2_hidden @ SY802 @ SV168 )
| ( v1_xboole_0 @ ( k1_funct_1 @ SV269 @ SY802 ) ) ) )
= $false )
| ( ( v3_relat_1 @ SV269 )
= $true )
| ( ( m1_pboole @ SV269 @ SV168 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7943]) ).
thf(8054,plain,
! [SV336: $i,SV176: $i,SV319: $i,SV39: $i] :
( ( ( SV39 != SV319 )
= $false )
| ( ( ( g2_struct_0 @ SV39 @ SV176 )
= ( g2_struct_0 @ SV319 @ SV336 ) )
= $false )
| ( ( m1_subset_1 @ SV176 @ SV39 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7944]) ).
thf(8055,plain,
! [SV319: $i,SV39: $i,SV336: $i,SV176: $i] :
( ( ( SV176 != SV336 )
= $false )
| ( ( ( g2_struct_0 @ SV39 @ SV176 )
= ( g2_struct_0 @ SV319 @ SV336 ) )
= $false )
| ( ( m1_subset_1 @ SV176 @ SV39 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7944]) ).
thf(8056,plain,
! [SV180: $i,SV43: $i,SV270: $i,SV350: $i] :
( ( ( ~ ( ~ ( r2_hidden @ SV350 @ SV270 )
| ~ ( ~ ( r2_hidden @ SV350 @ SV43 )
| ~ ( r2_hidden @ SV350 @ SV180 ) ) )
| ~ ( ~ ~ ( ~ ( r2_hidden @ SV350 @ SV43 )
| ~ ( r2_hidden @ SV350 @ SV180 ) )
| ( r2_hidden @ SV350 @ SV270 ) ) )
= $false )
| ( ( SV270
= ( k3_xboole_0 @ SV43 @ SV180 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7945]) ).
thf(8057,plain,
! [SV270: $i,SV43: $i,SV180: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV270 )
| ~ ( ~ ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV43 )
| ~ ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV180 ) ) )
| ~ ( ~ ~ ( ~ ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV43 )
| ~ ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV180 ) )
| ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV270 ) ) )
= $true )
| ( ( SV270
= ( k3_xboole_0 @ SV43 @ SV180 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7946]) ).
thf(8058,plain,
! [SV341: $i,SV49: $i,SV338: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ SV338 @ SV49 )
| ~ ( r2_hidden @ SV341 @ SV49 ) )
| ~ ~ ( r2_hidden @ SV338 @ SV341 ) )
| ~ ( ( SV338 != SV341 ) ) )
| ~ ~ ( r2_hidden @ SV341 @ SV338 ) )
= $true )
| ( ( v2_ordinal1 @ SV49 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7949]) ).
thf(8059,plain,
! [SV49: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ ( sK26_SY444 @ SV49 ) @ SV49 )
| ~ ( r2_hidden @ ( sK31_SY844 @ SV49 ) @ SV49 ) )
| ~ ~ ( r2_hidden @ ( sK26_SY444 @ SV49 ) @ ( sK31_SY844 @ SV49 ) ) )
| ~ ( ( ( sK26_SY444 @ SV49 )
!= ( sK31_SY844 @ SV49 ) ) ) )
| ~ ~ ( r2_hidden @ ( sK31_SY844 @ SV49 ) @ ( sK26_SY444 @ SV49 ) ) )
= $false )
| ( ( v2_ordinal1 @ SV49 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7950]) ).
thf(8060,plain,
! [SV312: $i,SV273: $i,SV184: $i,SV50: $i] :
( ( ( ~ ~ ( ~ ( r2_hidden @ SV50 @ SV184 )
| ~ ( r2_hidden @ SV184 @ SV273 ) ) )
= $true )
| ( ( ~ ( r2_hidden @ SV273 @ SV312 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV312 @ SV50 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7951]) ).
thf(8061,plain,
! [SV274: $i,SV185: $i,SV52: $i,SV355: $i] :
( ( ( ~ ( m3_pboole @ SV355 @ SV52 @ SV185 @ SV274 )
| ( m1_pboole @ SV355 @ SV52 ) )
= $true )
| ( ( m1_pboole @ SV185 @ SV52 )
= $false )
| ( ( m1_pboole @ SV274 @ SV52 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7952]) ).
thf(8062,plain,
! [SV55: $i] :
( ( ( m1_subset_1 @ ( sK22_SY454 @ SV55 ) @ ( k1_zfmisc_1 @ SV55 ) )
= $true )
| ( ( v1_xboole_0 @ SV55 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7953]) ).
thf(8063,plain,
! [SV55: $i] :
( ( ( ~ ( v1_xboole_0 @ ( sK22_SY454 @ SV55 ) ) )
= $true )
| ( ( v1_xboole_0 @ SV55 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7954]) ).
thf(8064,plain,
! [SV57: $i,SV187: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
| ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) ) ) )
= $true )
| ( ( ~ ( ~ ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
| ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 ) ) )
= $true )
| ( ( ~ ! [SY690: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY690 @ SV187 )
| ( p1_s3_xboole_0 @ SY690 ) )
| ~ ( ~ ( p1_s3_xboole_0 @ SY690 )
| ( r2_hidden @ SY690 @ SV187 ) ) ) )
= $true )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7955]) ).
thf(8065,plain,
! [SV58: $i,SV188: $i] :
( ( ( v1_xboole_0 @ SV188 )
= $true )
| ( ( v1_xboole_0 @ SV58 )
= $true )
| ( ( ~ ( r2_subset_1 @ SV58 @ SV58 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7956]) ).
thf(8066,plain,
! [SV321: $i,SV59: $i,SV342: $i] :
( ( ( ~ ( ( SV342
!= ( k1_closure3 @ SV59 @ SV321 ) )
| ( SV342
= ( a_2_0_closure3 @ SV59 @ SV321 ) ) ) )
= $false )
| ( ( m1_pboole @ SV321 @ SV59 )
= $false )
| ( ( v1_xboole_0 @ SV59 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[7957]) ).
thf(8067,plain,
! [SV321: $i,SV59: $i,SV342: $i] :
( ( ( ~ ( ( SV342
!= ( a_2_0_closure3 @ SV59 @ SV321 ) )
| ( SV342
= ( k1_closure3 @ SV59 @ SV321 ) ) ) )
= $false )
| ( ( m1_pboole @ SV321 @ SV59 )
= $false )
| ( ( v1_xboole_0 @ SV59 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[7957]) ).
thf(8068,plain,
! [SV60: $i] :
( ( ( SV60 = k1_xboole_0 )
= $false )
| ( ( r1_xboole_0 @ SV60 @ SV60 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7958]) ).
thf(8069,plain,
! [SV60: $i] :
( ( ( r1_xboole_0 @ SV60 @ SV60 )
= $false )
| ( ( SV60 = k1_xboole_0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7959]) ).
thf(8070,plain,
! [SV275: $i,SV189: $i,SV61: $i] :
( ( ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV61 )
| ~ ( v2_relat_1 @ SV189 ) ) )
= $true )
| ( ( ~ ( m1_pboole @ SV189 @ SV61 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV275 @ SV61 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k1_funct_1 @ SV189 @ SV275 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7960]) ).
thf(8071,plain,
! [SV313: $i,SV64: $i] :
( ( ( ~ ( ~ ~ ( r2_hidden @ SV64 @ SV313 )
| ~ ( ( SV64 != SV313 ) ) ) )
= $false )
| ( ( ~ ~ ( r2_hidden @ SV313 @ SV64 ) )
= $true )
| ( ( v3_ordinal1 @ SV313 )
= $false )
| ( ( v3_ordinal1 @ SV64 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7962]) ).
thf(8072,plain,
! [SV65: $i,SV192: $i,SV277: $i] :
( ( ( m1_pboole @ SV277 @ SV192 )
= $false )
| ( ( v1_xboole_0 @ SV192 )
= $true )
| ( ( ~ ( ~ ( ~ ( r2_hidden @ SV65 @ ( a_2_0_closure3 @ SV192 @ SV277 ) )
| ~ ! [SY807: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY807 @ SV192 )
| ( SV65 != SY807 ) )
| ~ ( ( ( k1_funct_1 @ SV277 @ SY807 )
!= k1_xboole_0 ) ) ) )
| ~ ( ~ ~ ! [SY808: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY808 @ SV192 )
| ( SV65 != SY808 ) )
| ~ ( ( ( k1_funct_1 @ SV277 @ SY808 )
!= k1_xboole_0 ) ) )
| ( r2_hidden @ SV65 @ ( a_2_0_closure3 @ SV192 @ SV277 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7963]) ).
thf(8073,plain,
! [SV66: $i,SV193: $i] :
( ( ( v1_xboole_0 @ SV193 )
= $true )
| ( ( v1_xboole_0 @ SV66 )
= $true )
| ( ( ~ ( r1_subset_1 @ SV66 @ SV193 )
| ( r1_subset_1 @ SV193 @ SV66 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7964]) ).
thf(8074,plain,
! [SV314: $i,SV194: $i,SV278: $i,SV68: $i] :
( ( ( SV68 != SV278 )
= $false )
| ( ( SV194 = k1_xboole_0 )
= $true )
| ( ( SV68 = k1_xboole_0 )
= $true )
| ( ( ( k2_zfmisc_1 @ SV68 @ SV194 )
= ( k2_zfmisc_1 @ SV278 @ SV314 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7965]) ).
thf(8075,plain,
! [SV278: $i,SV68: $i,SV314: $i,SV194: $i] :
( ( ( SV194 != SV314 )
= $false )
| ( ( SV194 = k1_xboole_0 )
= $true )
| ( ( SV68 = k1_xboole_0 )
= $true )
| ( ( ( k2_zfmisc_1 @ SV68 @ SV194 )
= ( k2_zfmisc_1 @ SV278 @ SV314 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7965]) ).
thf(8076,plain,
! [SV198: $i,SV73: $i] :
( ( ( ! [SY482: $i] :
~ ~ ( ~ ( r2_hidden @ SY482 @ SV73 )
| ~ ! [SX3: $i,SX4: $i] :
( SY482
!= ( k4_tarski @ SX3 @ SX4 ) ) ) )
= $false )
| ( ( ~ ! [SY704: $i] :
~ ~ ( ~ ( r2_hidden @ SY704 @ SV198 )
| ~ ! [SX3: $i,SX4: $i] :
( SY704
!= ( k4_tarski @ SX3 @ SX4 ) ) ) )
= $true )
| ( ( ~ ! [SY707: $i,SY708: $i] :
~ ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 ) )
| ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 ) ) ) )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7968]) ).
thf(8077,plain,
! [SV323: $i,SV200: $i,SV76: $i] :
( ( ( ~ ( r1_pboole @ SV76 @ SV200 @ SV323 )
| ! [SY830: $i] :
( ~ ( r2_hidden @ SY830 @ SV76 )
| ( r2_hidden @ ( k1_funct_1 @ SV200 @ SY830 ) @ ( k1_funct_1 @ SV323 @ SY830 ) ) ) )
= $true )
| ( ( m1_pboole @ SV323 @ SV76 )
= $false )
| ( ( m1_pboole @ SV200 @ SV76 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7970]) ).
thf(8078,plain,
! [SV323: $i,SV200: $i,SV76: $i] :
( ( ( ~ ! [SY831: $i] :
( ~ ( r2_hidden @ SY831 @ SV76 )
| ( r2_hidden @ ( k1_funct_1 @ SV200 @ SY831 ) @ ( k1_funct_1 @ SV323 @ SY831 ) ) )
| ( r1_pboole @ SV76 @ SV200 @ SV323 ) )
= $true )
| ( ( m1_pboole @ SV323 @ SV76 )
= $false )
| ( ( m1_pboole @ SV200 @ SV76 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7971]) ).
thf(8079,plain,
! [SV283: $i,SV203: $i,SV79: $i] :
( ( ( r2_hidden @ SV79 @ SV203 )
= $false )
| ( ( ~ ( m1_subset_1 @ SV203 @ ( k1_zfmisc_1 @ SV283 ) ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV283 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7973]) ).
thf(8080,plain,
! [SV324: $i,SV315: $i,SV284: $i,SV204: $i,SV80: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ SV80 @ SV204 )
| ~ ( r2_hidden @ SV204 @ SV284 ) )
| ~ ( r2_hidden @ SV284 @ SV315 ) )
| ~ ( r2_hidden @ SV315 @ SV324 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV324 @ SV80 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7974]) ).
thf(8081,plain,
! [SV285: $i,SV205: $i,SV81: $i] :
( ( ( ~ ( r5_pboole @ SV81 @ SV205 @ SV285 ) )
= $true )
| ( ( r5_pboole @ SV81 @ SV285 @ SV205 )
= $true )
| ( ( m1_pboole @ SV205 @ SV81 )
= $false )
| ( ( m1_pboole @ SV285 @ SV81 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7975]) ).
thf(8082,plain,
! [SV206: $i,SV82: $i,SV286: $i,SV351: $i] :
( ( ( ~ ( ~ ( r2_hidden @ SV351 @ SV286 )
| ( r2_hidden @ SV351 @ SV82 )
| ( r2_hidden @ SV351 @ SV206 ) )
| ~ ( ~ ( ( r2_hidden @ SV351 @ SV82 )
| ( r2_hidden @ SV351 @ SV206 ) )
| ( r2_hidden @ SV351 @ SV286 ) ) )
= $false )
| ( ( SV286
= ( k2_xboole_0 @ SV82 @ SV206 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7976]) ).
thf(8083,plain,
! [SV286: $i,SV82: $i,SV206: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV286 )
| ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV82 )
| ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV206 ) )
| ~ ( ~ ( ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV82 )
| ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV206 ) )
| ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV286 ) ) )
= $true )
| ( ( SV286
= ( k2_xboole_0 @ SV82 @ SV206 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7977]) ).
thf(8084,plain,
! [SV337: $i,SV325: $i,SV316: $i,SV287: $i,SV207: $i,SV84: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ SV84 @ SV207 )
| ~ ( r2_hidden @ SV207 @ SV287 ) )
| ~ ( r2_hidden @ SV287 @ SV316 ) )
| ~ ( r2_hidden @ SV316 @ SV325 ) )
| ~ ( r2_hidden @ SV325 @ SV337 ) ) )
= $false )
| ( ( ~ ( r2_hidden @ SV337 @ SV84 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7978]) ).
thf(8085,plain,
! [SV85: $i,SV208: $i] :
( ( ( ~ ( ~ ( m1_subset_1 @ SV208 @ SV85 )
| ( r2_hidden @ SV208 @ SV85 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV85 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[7979]) ).
thf(8086,plain,
! [SV85: $i,SV208: $i] :
( ( ( ~ ( ~ ( r2_hidden @ SV208 @ SV85 )
| ( m1_subset_1 @ SV208 @ SV85 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV85 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[7979]) ).
thf(8087,plain,
! [SV85: $i,SV208: $i] :
( ( ( ~ ( m1_subset_1 @ SV208 @ SV85 )
| ( v1_xboole_0 @ SV208 ) )
= $true )
| ( ( v1_xboole_0 @ SV85 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7980]) ).
thf(8088,plain,
! [SV85: $i,SV208: $i] :
( ( ( ~ ( v1_xboole_0 @ SV208 )
| ( m1_subset_1 @ SV208 @ SV85 ) )
= $true )
| ( ( v1_xboole_0 @ SV85 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7981]) ).
thf(8089,plain,
! [SV90: $i,SV211: $i,SV326: $i] :
( ( ( ~ ( r2_hidden @ ( sK41_SY833 @ SV326 @ SV211 @ SV90 ) @ SV90 )
| ( ( k1_funct_1 @ SV211 @ ( sK41_SY833 @ SV326 @ SV211 @ SV90 ) )
= ( k1_funct_1 @ SV326 @ ( sK41_SY833 @ SV326 @ SV211 @ SV90 ) ) ) )
= $false )
| ( ( SV211 = SV326 )
= $true )
| ( ( m1_pboole @ SV326 @ SV90 )
= $false )
| ( ( m1_pboole @ SV211 @ SV90 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[7983]) ).
thf(8090,plain,
! [SV93: $i] :
( ( ( ! [SY530: $i,SY531: $i] :
~ ~ ( ~ ~ ( ~ ( r2_hidden @ SY530 @ SV93 )
| ~ ( r2_hidden @ SY531 @ SV93 ) )
| ~ ( ( SY530 != SY531 ) ) ) )
= $false )
| ( ( v1_realset1 @ SV93 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7986]) ).
thf(8091,plain,
! [SV93: $i,SV356: $i] :
( ( ( ~ ~ ! [SY851: $i] :
~ ~ ( ~ ~ ( ~ ( r2_hidden @ SV356 @ SV93 )
| ~ ( r2_hidden @ SY851 @ SV93 ) )
| ~ ( ( SV356 != SY851 ) ) ) )
= $true )
| ( ( ~ ( v1_realset1 @ SV93 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[7987]) ).
thf(8092,plain,
! [SV97: $i] :
( ( ( ~ ( v3_ordinal1 @ ( sK15_SY536 @ SV97 ) ) )
= $false )
| ( ( r2_hidden @ ( sK15_SY536 @ SV97 ) @ SV97 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[7988]) ).
thf(8093,plain,
! [SV97: $i] :
( ( ( r2_hidden @ ( sK15_SY536 @ SV97 ) @ SV97 )
= $false )
| ( ( r2_hidden @ ( sK15_SY536 @ SV97 ) @ SV97 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[7988]) ).
thf(8094,plain,
! [SV97: $i] :
( ( ( v3_ordinal1 @ ( sK15_SY536 @ SV97 ) )
= $true )
| ( ( v3_ordinal1 @ ( sK15_SY536 @ SV97 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7989]) ).
thf(8095,plain,
! [SV99: $i,SV217: $i] :
( ( ( v1_xboole_0 @ SV217 )
= $true )
| ( ( v1_xboole_0 @ SV99 )
= $true )
| ( ( ~ ( r1_subset_1 @ SV99 @ SV99 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7991]) ).
thf(8096,plain,
! [SV291: $i,SV218: $i,SV100: $i] :
( ( ( ~ ( r4_pboole @ SV100 @ SV218 @ SV291 ) )
= $true )
| ( ( r4_pboole @ SV100 @ SV291 @ SV218 )
= $true )
| ( ( m1_pboole @ SV218 @ SV100 )
= $false )
| ( ( m1_pboole @ SV291 @ SV100 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7992]) ).
thf(8097,plain,
! [SV317: $i,SV292: $i,SV219: $i,SV101: $i] :
( ( ( ( k1_funct_1 @ ( k4_funct_4 @ SV101 @ SV219 @ SV292 @ SV317 ) @ SV101 )
= SV292 )
= $true )
| ( ( SV101 = SV219 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7993]) ).
thf(8098,plain,
! [SV317: $i,SV292: $i,SV219: $i,SV101: $i] :
( ( ( ( k1_funct_1 @ ( k4_funct_4 @ SV101 @ SV219 @ SV292 @ SV317 ) @ SV219 )
= SV317 )
= $true )
| ( ( SV101 = SV219 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7994]) ).
thf(8099,plain,
! [SV221: $i,SV103: $i] :
( ( ( ~ ( r2_hidden @ ( sK33_SY736 @ SV103 @ SV221 ) @ SV221 )
| ~ ! [SY845: $i] :
~ ~ ( ~ ( r2_hidden @ SY845 @ SV221 )
| ~ ( r2_hidden @ SY845 @ ( sK33_SY736 @ SV103 @ SV221 ) ) ) )
= $false )
| ( ( r2_hidden @ SV103 @ SV221 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7995]) ).
thf(8100,plain,
! [SV222: $i,SV104: $i,SV293: $i,SV352: $i] :
( ( ( ~ ( ~ ( r2_hidden @ SV352 @ SV293 )
| ~ ( ~ ( r2_hidden @ SV352 @ SV104 )
| ~ ~ ( r2_hidden @ SV352 @ SV222 ) ) )
| ~ ( ~ ~ ( ~ ( r2_hidden @ SV352 @ SV104 )
| ~ ~ ( r2_hidden @ SV352 @ SV222 ) )
| ( r2_hidden @ SV352 @ SV293 ) ) )
= $false )
| ( ( SV293
= ( k4_xboole_0 @ SV104 @ SV222 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7996]) ).
thf(8101,plain,
! [SV293: $i,SV104: $i,SV222: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV293 )
| ~ ( ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV104 )
| ~ ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV222 ) ) )
| ~ ( ~ ~ ( ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV104 )
| ~ ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV222 ) )
| ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV293 ) ) )
= $true )
| ( ( SV293
= ( k4_xboole_0 @ SV104 @ SV222 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7997]) ).
thf(8102,plain,
! [SV105: $i,SV223: $i] :
( ( ( v1_xboole_0 @ SV223 )
= $true )
| ( ( v1_xboole_0 @ SV105 )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ SV105 @ SV223 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7998]) ).
thf(8103,plain,
! [SV226: $i,SV108: $i] :
( ( ( SV108 != SV226 )
= $false )
| ( ( v1_xboole_0 @ SV108 )
= $false )
| ( ( ~ ( v1_xboole_0 @ SV226 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8001]) ).
thf(8104,plain,
! [SV296: $i,SV228: $i,SV110: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ SV110 ) )
= $true )
| ( ( ~ ( m1_pboole @ SV228 @ SV110 ) )
= $true )
| ( ( ~ ( m1_pboole @ SV296 @ SV110 ) )
= $true )
| ( ( ~ ( r3_pboole @ SV110 @ SV228 @ SV296 )
| ~ ( r3_pboole @ SV110 @ SV296 @ SV228 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[8002]) ).
thf(8105,plain,
! [SV230: $i,SV114: $i] :
( ( ( ! [SY744: $i] :
( ~ ( m1_subset_1 @ SY744 @ SV114 )
| ~ ( r2_hidden @ SY744 @ SV230 ) ) )
= $false )
| ( ( SV230 = k1_xboole_0 )
= $true )
| ( ( m1_subset_1 @ SV230 @ ( k1_zfmisc_1 @ SV114 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8003]) ).
thf(8106,plain,
! [SV231: $i,SV116: $i,SV328: $i] :
( ( ( ~ ( m2_pboole @ SV328 @ SV116 @ SV231 )
| ! [SY834: $i] :
( ~ ( r2_hidden @ SY834 @ SV116 )
| ( m1_subset_1 @ ( k1_funct_1 @ SV328 @ SY834 ) @ ( k1_funct_1 @ SV231 @ SY834 ) ) ) )
= $true )
| ( ( m1_pboole @ SV328 @ SV116 )
= $false )
| ( ( m1_pboole @ SV231 @ SV116 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8004]) ).
thf(8107,plain,
! [SV231: $i,SV328: $i,SV116: $i] :
( ( ( ~ ! [SY835: $i] :
( ~ ( r2_hidden @ SY835 @ SV116 )
| ( m1_subset_1 @ ( k1_funct_1 @ SV328 @ SY835 ) @ ( k1_funct_1 @ SV231 @ SY835 ) ) )
| ( m2_pboole @ SV328 @ SV116 @ SV231 ) )
= $true )
| ( ( m1_pboole @ SV328 @ SV116 )
= $false )
| ( ( m1_pboole @ SV231 @ SV116 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8005]) ).
thf(8108,plain,
! [SV329: $i,SV232: $i,SV117: $i,SV343: $i] :
( ( ( m1_pboole @ SV343 @ SV117 )
= $false )
| ( ( ~ ~ ( ~ ( r2_pboole @ SV117 @ SV232 @ SV329 )
| ~ ( r2_pboole @ SV117 @ SV329 @ SV343 ) )
| ( r2_pboole @ SV117 @ SV232 @ SV343 ) )
= $true )
| ( ( m1_pboole @ SV329 @ SV117 )
= $false )
| ( ( m1_pboole @ SV232 @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8006]) ).
thf(8109,plain,
! [SV233: $i,SV119: $i,SV344: $i] :
( ( ( r2_hidden @ SV344 @ SV119 )
= $false )
| ( ( r2_hidden @ SV344 @ SV233 )
= $true )
| ( ( r1_tarski @ SV119 @ SV233 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8007]) ).
thf(8110,plain,
! [SV119: $i,SV233: $i] :
( ( ( r2_hidden @ ( sK34_SY751 @ SV233 @ SV119 ) @ SV119 )
= $true )
| ( ( r1_tarski @ SV119 @ SV233 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8008]) ).
thf(8111,plain,
! [SV330: $i,SV120: $i,SV345: $i] :
( ( ( m1_pboole @ SV345 @ SV120 )
= $false )
| ( ( ( k1_funct_4 @ SV330 @ SV345 )
= SV345 )
= $true )
| ( ( m1_pboole @ SV330 @ SV120 )
= $false )
| ( ( v1_xboole_0 @ SV120 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8010]) ).
thf(8112,plain,
! [SV122: $i,SV331: $i,SV346: $i] :
( ( ( m1_subset_1 @ SV346 @ ( k2_relat_1 @ SV331 ) )
= $false )
| ( ( ~ ! [SY846: $i] :
~ ~ ( ~ ( r2_hidden @ SY846 @ SV122 )
| ( SV346
!= ( k1_funct_1 @ SV331 @ SY846 ) ) ) )
= $true )
| ( ( m1_pboole @ SV331 @ SV122 )
= $false )
| ( ( v1_xboole_0 @ SV122 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8011]) ).
thf(8113,plain,
! [SV297: $i,SV234: $i,SV123: $i] :
( ( ( r2_hidden @ SV123 @ SV234 )
= $false )
| ( ( ~ ( r2_hidden @ SV234 @ SV297 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV297 @ SV123 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8012]) ).
thf(8114,plain,
! [SV129: $i,SV239: $i,SV332: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK42_SY840 @ SV332 @ SV239 @ SV129 ) @ SV129 )
| ~ ( ~ ( ~ ( r2_hidden @ ( sK42_SY840 @ SV332 @ SV239 @ SV129 ) @ SV239 )
| ( r2_hidden @ ( sK42_SY840 @ SV332 @ SV239 @ SV129 ) @ SV332 ) )
| ~ ( ~ ( r2_hidden @ ( sK42_SY840 @ SV332 @ SV239 @ SV129 ) @ SV332 )
| ( r2_hidden @ ( sK42_SY840 @ SV332 @ SV239 @ SV129 ) @ SV239 ) ) ) )
= $false )
| ( ( SV239 = SV332 )
= $true )
| ( ( m1_subset_1 @ SV332 @ ( k1_zfmisc_1 @ SV129 ) )
= $false )
| ( ( m1_subset_1 @ SV239 @ ( k1_zfmisc_1 @ SV129 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[8015]) ).
thf(8115,plain,
! [SV242: $i,SV133: $i] :
( ( ( SV133
= ( k1_tarski @ SV242 ) )
= $true )
| ( ( ~ ( ( SV133 != k1_xboole_0 ) ) )
= $true )
| ( ( ~ ! [SY758: $i] :
~ ~ ( ~ ( r2_hidden @ SY758 @ SV133 )
| ~ ( ( SY758 != SV242 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8016]) ).
thf(8116,plain,
! [SV299: $i,SV243: $i,SV134: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ SV134 ) )
= $true )
| ( ( ~ ~ ( v1_xboole_0 @ SV243 ) )
= $true )
| ( ( ~ ~ ( v1_xboole_0 @ SV299 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k3_zfmisc_1 @ SV134 @ SV243 @ SV299 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[8017]) ).
thf(8117,plain,
! [SV135: $i,SV244: $i] :
( ( ( r2_hidden @ ( sK19_SY760 @ SV244 @ SV135 ) @ SV135 )
= $true )
| ( ( ~ ( ~ ( r2_hidden @ ( sK19_SY760 @ SV244 @ SV135 ) @ SV244 )
| ( r2_hidden @ ( sK19_SY760 @ SV244 @ SV135 ) @ SV135 ) ) )
= $true )
| ( ( SV135 = SV244 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8018]) ).
thf(8118,plain,
! [SV135: $i,SV244: $i] :
( ( ( ~ ( r2_hidden @ ( sK19_SY760 @ SV244 @ SV135 ) @ SV244 )
| ( r2_hidden @ ( sK19_SY760 @ SV244 @ SV135 ) @ SV135 ) )
= $false )
| ( ( r2_hidden @ ( sK19_SY760 @ SV244 @ SV135 ) @ SV244 )
= $false )
| ( ( SV135 = SV244 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8019]) ).
thf(8119,plain,
! [SV136: $i,SV245: $i,SV333: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK43_SY841 @ SV333 @ SV245 @ SV136 ) @ ( k1_zfmisc_1 @ SV136 ) )
| ~ ( ~ ( ~ ( r2_hidden @ ( sK43_SY841 @ SV333 @ SV245 @ SV136 ) @ SV245 )
| ( r2_hidden @ ( sK43_SY841 @ SV333 @ SV245 @ SV136 ) @ SV333 ) )
| ~ ( ~ ( r2_hidden @ ( sK43_SY841 @ SV333 @ SV245 @ SV136 ) @ SV333 )
| ( r2_hidden @ ( sK43_SY841 @ SV333 @ SV245 @ SV136 ) @ SV245 ) ) ) )
= $false )
| ( ( SV245 = SV333 )
= $true )
| ( ( m1_subset_1 @ SV333 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV136 ) ) )
= $false )
| ( ( m1_subset_1 @ SV245 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV136 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[8020]) ).
thf(8120,plain,
! [SV138: $i,SV247: $i] :
( ( ( v1_xboole_0 @ SV247 )
= $true )
| ( ( v1_xboole_0 @ SV138 )
= $true )
| ( ( ~ ( r2_subset_1 @ SV138 @ SV247 )
| ( r2_subset_1 @ SV247 @ SV138 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8022]) ).
thf(8121,plain,
! [SV248: $i,SV139: $i,SV357: $i] :
( ( ( ~ ~ ( ~ ( r2_hidden @ SV357 @ SV139 )
| ~ ( v1_xboole_0 @ ( k1_funct_1 @ SV248 @ SV357 ) ) ) )
= $true )
| ( ( v2_relat_1 @ SV248 )
= $false )
| ( ( m1_pboole @ SV248 @ SV139 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[8023]) ).
thf(8122,plain,
! [SV139: $i,SV248: $i] :
( ( ( ~ ~ ( ~ ( r2_hidden @ ( sK44_SY765 @ SV248 @ SV139 ) @ SV139 )
| ~ ( v1_xboole_0 @ ( k1_funct_1 @ SV248 @ ( sK44_SY765 @ SV248 @ SV139 ) ) ) ) )
= $false )
| ( ( v2_relat_1 @ SV248 )
= $true )
| ( ( m1_pboole @ SV248 @ SV139 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[8024]) ).
thf(8123,plain,
! [SV249: $i,SV140: $i,SV301: $i,SV353: $i] :
( ( ( ~ ( ~ ( r2_hidden @ SV353 @ SV301 )
| ( SV353 = SV140 )
| ( SV353 = SV249 ) )
| ~ ( ~ ( ( SV353 = SV140 )
| ( SV353 = SV249 ) )
| ( r2_hidden @ SV353 @ SV301 ) ) )
= $false )
| ( ( SV301
= ( k2_tarski @ SV140 @ SV249 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8025]) ).
thf(8124,plain,
! [SV301: $i,SV140: $i,SV249: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK40_SY821 @ SV249 @ SV140 @ SV301 ) @ SV301 )
| ( ( sK40_SY821 @ SV249 @ SV140 @ SV301 )
= SV140 )
| ( ( sK40_SY821 @ SV249 @ SV140 @ SV301 )
= SV249 ) )
| ~ ( ~ ( ( ( sK40_SY821 @ SV249 @ SV140 @ SV301 )
= SV140 )
| ( ( sK40_SY821 @ SV249 @ SV140 @ SV301 )
= SV249 ) )
| ( r2_hidden @ ( sK40_SY821 @ SV249 @ SV140 @ SV301 ) @ SV301 ) ) )
= $true )
| ( ( SV301
= ( k2_tarski @ SV140 @ SV249 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8026]) ).
thf(8125,plain,
! [SV302: $i,SV250: $i,SV141: $i] :
( ( ( ~ ( ~ ( r2_hidden @ SV141 @ SV250 )
| ( r2_hidden @ SV141 @ SV302 ) )
| ~ ( ~ ( r2_hidden @ SV141 @ SV302 )
| ( r2_hidden @ SV141 @ SV250 ) ) )
= $true )
| ( ( r2_hidden @ SV141 @ ( k5_xboole_0 @ SV250 @ SV302 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8027]) ).
thf(8126,plain,
! [SV302: $i,SV250: $i,SV141: $i] :
( ( ( ~ ( ~ ( r2_hidden @ SV141 @ SV250 )
| ( r2_hidden @ SV141 @ SV302 ) )
| ~ ( ~ ( r2_hidden @ SV141 @ SV302 )
| ( r2_hidden @ SV141 @ SV250 ) ) )
= $false )
| ( ( r2_hidden @ SV141 @ ( k5_xboole_0 @ SV250 @ SV302 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8028]) ).
thf(8127,plain,
! [SV334: $i,SV253: $i,SV144: $i,SV347: $i] :
( ( ( m1_pboole @ SV347 @ SV144 )
= $false )
| ( ( ~ ~ ( ~ ( r7_pboole @ SV144 @ SV253 @ SV334 )
| ~ ( r7_pboole @ SV144 @ SV334 @ SV347 ) )
| ( r7_pboole @ SV144 @ SV253 @ SV347 ) )
= $true )
| ( ( m1_pboole @ SV334 @ SV144 )
= $false )
| ( ( m1_pboole @ SV253 @ SV144 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8030]) ).
thf(8128,plain,
! [SV304: $i,SV254: $i,SV145: $i] :
( ( ( ~ ( ~ ( r6_pboole @ SV145 @ SV254 @ SV304 )
| ( SV254 = SV304 ) )
| ~ ( ( SV254 != SV304 )
| ( r6_pboole @ SV145 @ SV254 @ SV304 ) ) )
= $false )
| ( ( m1_pboole @ SV254 @ SV145 )
= $false )
| ( ( m1_pboole @ SV304 @ SV145 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8031]) ).
thf(8129,plain,
! [SV146: $i] :
( ( ( m1_subset_1 @ ( sK24_SY626 @ SV146 ) @ SV146 )
= $true )
| ( ( v2_setfam_1 @ SV146 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8032]) ).
thf(8130,plain,
! [SV146: $i] :
( ( ( ~ ( v1_xboole_0 @ ( sK24_SY626 @ SV146 ) ) )
= $true )
| ( ( v2_setfam_1 @ SV146 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8033]) ).
thf(8131,plain,
! [SV148: $i,SV256: $i] :
( ( ( ~ ( ( SV256
!= ( k1_setfam_1 @ SV148 ) )
| ! [SY774: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY774 @ SV256 )
| ! [SY630: $i] :
( ~ ( r2_hidden @ SY630 @ SV148 )
| ( r2_hidden @ SY774 @ SY630 ) ) )
| ~ ( ~ ! [SY631: $i] :
( ~ ( r2_hidden @ SY631 @ SV148 )
| ( r2_hidden @ SY774 @ SY631 ) )
| ( r2_hidden @ SY774 @ SV256 ) ) ) ) )
= $false )
| ( ( SV148 = k1_xboole_0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8034]) ).
thf(8132,plain,
! [SV148: $i,SV256: $i] :
( ( ( ~ ( ~ ! [SY777: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY777 @ SV256 )
| ! [SY633: $i] :
( ~ ( r2_hidden @ SY633 @ SV148 )
| ( r2_hidden @ SY777 @ SY633 ) ) )
| ~ ( ~ ! [SY634: $i] :
( ~ ( r2_hidden @ SY634 @ SV148 )
| ( r2_hidden @ SY777 @ SY634 ) )
| ( r2_hidden @ SY777 @ SV256 ) ) )
| ( SV256
= ( k1_setfam_1 @ SV148 ) ) ) )
= $false )
| ( ( SV148 = k1_xboole_0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8034]) ).
thf(8133,plain,
! [SV148: $i,SV256: $i] :
( ( ( ( SV256
!= ( k1_setfam_1 @ SV148 ) )
| ( SV256 = k1_xboole_0 ) )
= $true )
| ( ( SV148 = k1_xboole_0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8035]) ).
thf(8134,plain,
! [SV148: $i,SV256: $i] :
( ( ( ( SV256 != k1_xboole_0 )
| ( SV256
= ( k1_setfam_1 @ SV148 ) ) )
= $true )
| ( ( SV148 = k1_xboole_0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8036]) ).
thf(8135,plain,
! [SV149: $i,SV257: $i,SV348: $i] :
( ( ( ~ ( ~ ( r2_hidden @ SV348 @ SV257 )
| ( SV348 = SV149 ) ) )
= $false )
| ( ( SV257
= ( k1_tarski @ SV149 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8037]) ).
thf(8136,plain,
! [SV257: $i,SV149: $i,SV348: $i] :
( ( ( ~ ( ( SV348 != SV149 )
| ( r2_hidden @ SV348 @ SV257 ) ) )
= $false )
| ( ( SV257
= ( k1_tarski @ SV149 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8037]) ).
thf(8137,plain,
! [SV257: $i,SV149: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK35_SY781 @ SV149 @ SV257 ) @ SV257 )
| ( ( sK35_SY781 @ SV149 @ SV257 )
= SV149 ) ) )
= $true )
| ( ( ~ ( ( ( sK35_SY781 @ SV149 @ SV257 )
!= SV149 )
| ( r2_hidden @ ( sK35_SY781 @ SV149 @ SV257 ) @ SV257 ) ) )
= $true )
| ( ( SV257
= ( k1_tarski @ SV149 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[8038]) ).
thf(8138,plain,
! [SV258: $i,SV150: $i] :
( ( ( r1_xboole_0 @ SV150 @ SV258 )
= $true )
| ( ( ~ ! [SY782: $i] :
~ ~ ( ~ ( r2_hidden @ SY782 @ SV150 )
| ~ ( r2_hidden @ SY782 @ SV258 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8039]) ).
thf(8139,plain,
! [SV258: $i,SV150: $i] :
( ( ( ! [SY783: $i] :
~ ~ ( ~ ( r2_hidden @ SY783 @ SV150 )
| ~ ( r2_hidden @ SY783 @ SV258 ) ) )
= $true )
| ( ( ~ ( r1_xboole_0 @ SV150 @ SV258 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8040]) ).
thf(8140,plain,
! [SV151: $i,SV259: $i,SV349: $i] :
( ( ( ~ ( ~ ( r2_hidden @ SV349 @ SV259 )
| ~ ! [SY847: $i] :
~ ~ ( ~ ( r2_hidden @ SV349 @ SY847 )
| ~ ( r2_hidden @ SY847 @ SV151 ) ) ) )
= $false )
| ( ( SV259
= ( k3_tarski @ SV151 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8041]) ).
thf(8141,plain,
! [SV259: $i,SV151: $i,SV349: $i] :
( ( ( ~ ( ~ ~ ! [SY848: $i] :
~ ~ ( ~ ( r2_hidden @ SV349 @ SY848 )
| ~ ( r2_hidden @ SY848 @ SV151 ) )
| ( r2_hidden @ SV349 @ SV259 ) ) )
= $false )
| ( ( SV259
= ( k3_tarski @ SV151 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8041]) ).
thf(8142,plain,
! [SV259: $i,SV151: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SV259 )
| ~ ! [SY849: $i] :
~ ~ ( ~ ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SY849 )
| ~ ( r2_hidden @ SY849 @ SV151 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY850: $i] :
~ ~ ( ~ ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SY850 )
| ~ ( r2_hidden @ SY850 @ SV151 ) )
| ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SV259 ) ) )
= $true )
| ( ( SV259
= ( k3_tarski @ SV151 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[8042]) ).
thf(8143,plain,
! [SV154: $i,SV354: $i] :
( ( ( ~ ( m1_subset_1 @ SV354 @ SV154 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV354 ) )
= $true )
| ( ( v1_xboole_0 @ SV154 )
= $true )
| ( ( v1_setfam_1 @ SV154 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[8044]) ).
thf(8144,plain,
! [SV158: $i,SV340: $i] :
( ( ( v1_xboole_0 @ SV340 )
= $true )
| ( ( ~ ( r2_hidden @ SV340 @ SV158 ) )
= $true )
| ( ( v2_setfam_1 @ SV158 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8045]) ).
thf(8145,plain,
! [SV158: $i] :
( ( ( v1_xboole_0 @ ( sK30_SY654 @ SV158 ) )
= $false )
| ( ( v2_setfam_1 @ SV158 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8046]) ).
thf(8146,plain,
! [SV306: $i,SV263: $i,SV161: $i] :
( ( ( ! [SY822: $i] :
~ ( m3_pboole @ SY822 @ SV161 @ SV263 @ SV306 ) )
= $false )
| ( ( m1_pboole @ SV263 @ SV161 )
= $false )
| ( ( m1_pboole @ SV306 @ SV161 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8048]) ).
thf(8147,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV163 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) )
| ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) ) )
| ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV163 ) ) )
= $true )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8049]) ).
thf(8148,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ( ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) )
| ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) )
| ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) ) )
| ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV163 ) ) )
= $true )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8049]) ).
thf(8149,plain,
! [SV309: $i,SV266: $i,SV165: $i] :
( ( ( ~ ( r6_pboole @ SV165 @ SV266 @ SV309 ) )
= $true )
| ( ( r6_pboole @ SV165 @ SV309 @ SV266 )
= $true )
| ( ( m1_pboole @ SV266 @ SV165 )
= $false )
| ( ( m1_pboole @ SV309 @ SV165 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[8050]) ).
thf(8150,plain,
! [SV318: $i,SV310: $i,SV267: $i,SV166: $i] :
( ( ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV166 )
| ~ ~ ( v1_xboole_0 @ SV267 ) )
| ~ ~ ( v1_xboole_0 @ SV310 ) )
= $true )
| ( ( ~ ~ ( v1_xboole_0 @ SV318 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k4_zfmisc_1 @ SV166 @ SV267 @ SV310 @ SV318 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8051]) ).
thf(8151,plain,
! [SV269: $i,SV168: $i,SV358: $i] :
( ( ( ~ ( r2_hidden @ SV358 @ SV168 )
| ( v1_xboole_0 @ ( k1_funct_1 @ SV269 @ SV358 ) ) )
= $true )
| ( ( v3_relat_1 @ SV269 )
= $false )
| ( ( m1_pboole @ SV269 @ SV168 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[8052]) ).
thf(8152,plain,
! [SV168: $i,SV269: $i] :
( ( ( ~ ( r2_hidden @ ( sK45_SY802 @ SV269 @ SV168 ) @ SV168 )
| ( v1_xboole_0 @ ( k1_funct_1 @ SV269 @ ( sK45_SY802 @ SV269 @ SV168 ) ) ) )
= $false )
| ( ( v3_relat_1 @ SV269 )
= $true )
| ( ( m1_pboole @ SV269 @ SV168 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[8053]) ).
thf(8153,plain,
! [SV336: $i,SV176: $i,SV319: $i,SV39: $i] :
( ( ( SV39 = SV319 )
= $true )
| ( ( ( g2_struct_0 @ SV39 @ SV176 )
= ( g2_struct_0 @ SV319 @ SV336 ) )
= $false )
| ( ( m1_subset_1 @ SV176 @ SV39 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8054]) ).
thf(8154,plain,
! [SV319: $i,SV39: $i,SV336: $i,SV176: $i] :
( ( ( SV176 = SV336 )
= $true )
| ( ( ( g2_struct_0 @ SV39 @ SV176 )
= ( g2_struct_0 @ SV319 @ SV336 ) )
= $false )
| ( ( m1_subset_1 @ SV176 @ SV39 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8055]) ).
thf(8155,plain,
! [SV180: $i,SV43: $i,SV270: $i,SV350: $i] :
( ( ( ~ ( ~ ( r2_hidden @ SV350 @ SV270 )
| ~ ( ~ ( r2_hidden @ SV350 @ SV43 )
| ~ ( r2_hidden @ SV350 @ SV180 ) ) ) )
= $false )
| ( ( SV270
= ( k3_xboole_0 @ SV43 @ SV180 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8056]) ).
thf(8156,plain,
! [SV270: $i,SV180: $i,SV43: $i,SV350: $i] :
( ( ( ~ ( ~ ~ ( ~ ( r2_hidden @ SV350 @ SV43 )
| ~ ( r2_hidden @ SV350 @ SV180 ) )
| ( r2_hidden @ SV350 @ SV270 ) ) )
= $false )
| ( ( SV270
= ( k3_xboole_0 @ SV43 @ SV180 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8056]) ).
thf(8157,plain,
! [SV270: $i,SV43: $i,SV180: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV270 )
| ~ ( ~ ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV43 )
| ~ ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV180 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV43 )
| ~ ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV180 ) )
| ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV270 ) ) )
= $true )
| ( ( SV270
= ( k3_xboole_0 @ SV43 @ SV180 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[8057]) ).
thf(8158,plain,
! [SV341: $i,SV49: $i,SV338: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ SV338 @ SV49 )
| ~ ( r2_hidden @ SV341 @ SV49 ) )
| ~ ~ ( r2_hidden @ SV338 @ SV341 ) )
| ~ ( ( SV338 != SV341 ) ) ) )
= $true )
| ( ( ~ ~ ( r2_hidden @ SV341 @ SV338 ) )
= $true )
| ( ( v2_ordinal1 @ SV49 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[8058]) ).
thf(8159,plain,
! [SV49: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ ( sK26_SY444 @ SV49 ) @ SV49 )
| ~ ( r2_hidden @ ( sK31_SY844 @ SV49 ) @ SV49 ) )
| ~ ~ ( r2_hidden @ ( sK26_SY444 @ SV49 ) @ ( sK31_SY844 @ SV49 ) ) )
| ~ ( ( ( sK26_SY444 @ SV49 )
!= ( sK31_SY844 @ SV49 ) ) ) ) )
= $false )
| ( ( v2_ordinal1 @ SV49 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8059]) ).
thf(8160,plain,
! [SV49: $i] :
( ( ( ~ ~ ( r2_hidden @ ( sK31_SY844 @ SV49 ) @ ( sK26_SY444 @ SV49 ) ) )
= $false )
| ( ( v2_ordinal1 @ SV49 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8059]) ).
thf(8161,plain,
! [SV312: $i,SV273: $i,SV184: $i,SV50: $i] :
( ( ( ~ ( ~ ( r2_hidden @ SV50 @ SV184 )
| ~ ( r2_hidden @ SV184 @ SV273 ) ) )
= $false )
| ( ( ~ ( r2_hidden @ SV273 @ SV312 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV312 @ SV50 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8060]) ).
thf(8162,plain,
! [SV274: $i,SV185: $i,SV52: $i,SV355: $i] :
( ( ( ~ ( m3_pboole @ SV355 @ SV52 @ SV185 @ SV274 ) )
= $true )
| ( ( m1_pboole @ SV355 @ SV52 )
= $true )
| ( ( m1_pboole @ SV185 @ SV52 )
= $false )
| ( ( m1_pboole @ SV274 @ SV52 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[8061]) ).
thf(8163,plain,
! [SV55: $i] :
( ( ( v1_xboole_0 @ ( sK22_SY454 @ SV55 ) )
= $false )
| ( ( v1_xboole_0 @ SV55 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8063]) ).
thf(8164,plain,
! [SV57: $i,SV187: $i] :
( ( ( ~ ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
| ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) ) )
= $false )
| ( ( ~ ( ~ ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
| ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 ) ) )
= $true )
| ( ( ~ ! [SY690: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY690 @ SV187 )
| ( p1_s3_xboole_0 @ SY690 ) )
| ~ ( ~ ( p1_s3_xboole_0 @ SY690 )
| ( r2_hidden @ SY690 @ SV187 ) ) ) )
= $true )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8064]) ).
thf(8165,plain,
! [SV188: $i,SV58: $i] :
( ( ( r2_subset_1 @ SV58 @ SV58 )
= $false )
| ( ( v1_xboole_0 @ SV58 )
= $true )
| ( ( v1_xboole_0 @ SV188 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8065]) ).
thf(8166,plain,
! [SV321: $i,SV59: $i,SV342: $i] :
( ( ( ( SV342
!= ( k1_closure3 @ SV59 @ SV321 ) )
| ( SV342
= ( a_2_0_closure3 @ SV59 @ SV321 ) ) )
= $true )
| ( ( m1_pboole @ SV321 @ SV59 )
= $false )
| ( ( v1_xboole_0 @ SV59 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8066]) ).
thf(8167,plain,
! [SV321: $i,SV59: $i,SV342: $i] :
( ( ( ( SV342
!= ( a_2_0_closure3 @ SV59 @ SV321 ) )
| ( SV342
= ( k1_closure3 @ SV59 @ SV321 ) ) )
= $true )
| ( ( m1_pboole @ SV321 @ SV59 )
= $false )
| ( ( v1_xboole_0 @ SV59 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8067]) ).
thf(8168,plain,
! [SV275: $i,SV189: $i,SV61: $i] :
( ( ( ~ ( ~ ~ ( v1_xboole_0 @ SV61 )
| ~ ( v2_relat_1 @ SV189 ) ) )
= $false )
| ( ( ~ ( m1_pboole @ SV189 @ SV61 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV275 @ SV61 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k1_funct_1 @ SV189 @ SV275 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8070]) ).
thf(8169,plain,
! [SV313: $i,SV64: $i] :
( ( ( ~ ~ ( r2_hidden @ SV64 @ SV313 )
| ~ ( ( SV64 != SV313 ) ) )
= $true )
| ( ( ~ ~ ( r2_hidden @ SV313 @ SV64 ) )
= $true )
| ( ( v3_ordinal1 @ SV313 )
= $false )
| ( ( v3_ordinal1 @ SV64 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8071]) ).
thf(8170,plain,
! [SV277: $i,SV192: $i,SV65: $i] :
( ( ( ~ ( ~ ( r2_hidden @ SV65 @ ( a_2_0_closure3 @ SV192 @ SV277 ) )
| ~ ! [SY807: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY807 @ SV192 )
| ( SV65 != SY807 ) )
| ~ ( ( ( k1_funct_1 @ SV277 @ SY807 )
!= k1_xboole_0 ) ) ) )
| ~ ( ~ ~ ! [SY808: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY808 @ SV192 )
| ( SV65 != SY808 ) )
| ~ ( ( ( k1_funct_1 @ SV277 @ SY808 )
!= k1_xboole_0 ) ) )
| ( r2_hidden @ SV65 @ ( a_2_0_closure3 @ SV192 @ SV277 ) ) ) )
= $false )
| ( ( v1_xboole_0 @ SV192 )
= $true )
| ( ( m1_pboole @ SV277 @ SV192 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8072]) ).
thf(8171,plain,
! [SV193: $i,SV66: $i] :
( ( ( ~ ( r1_subset_1 @ SV66 @ SV193 ) )
= $true )
| ( ( r1_subset_1 @ SV193 @ SV66 )
= $true )
| ( ( v1_xboole_0 @ SV66 )
= $true )
| ( ( v1_xboole_0 @ SV193 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[8073]) ).
thf(8172,plain,
! [SV314: $i,SV194: $i,SV278: $i,SV68: $i] :
( ( ( SV68 = SV278 )
= $true )
| ( ( SV194 = k1_xboole_0 )
= $true )
| ( ( SV68 = k1_xboole_0 )
= $true )
| ( ( ( k2_zfmisc_1 @ SV68 @ SV194 )
= ( k2_zfmisc_1 @ SV278 @ SV314 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8074]) ).
thf(8173,plain,
! [SV278: $i,SV68: $i,SV314: $i,SV194: $i] :
( ( ( SV194 = SV314 )
= $true )
| ( ( SV194 = k1_xboole_0 )
= $true )
| ( ( SV68 = k1_xboole_0 )
= $true )
| ( ( ( k2_zfmisc_1 @ SV68 @ SV194 )
= ( k2_zfmisc_1 @ SV278 @ SV314 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8075]) ).
thf(8174,plain,
! [SV73: $i,SV198: $i] :
( ( ( ~ ~ ( ~ ( r2_hidden @ ( sK46_SY482 @ SV198 @ SV73 ) @ SV73 )
| ~ ! [SY852: $i,SY853: $i] :
( ( sK46_SY482 @ SV198 @ SV73 )
!= ( k4_tarski @ SY852 @ SY853 ) ) ) )
= $false )
| ( ( ~ ! [SY704: $i] :
~ ~ ( ~ ( r2_hidden @ SY704 @ SV198 )
| ~ ! [SX3: $i,SX4: $i] :
( SY704
!= ( k4_tarski @ SX3 @ SX4 ) ) ) )
= $true )
| ( ( ~ ! [SY707: $i,SY708: $i] :
~ ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 ) )
| ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 ) ) ) )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[8076]) ).
thf(8175,plain,
! [SV323: $i,SV200: $i,SV76: $i] :
( ( ( ~ ( r1_pboole @ SV76 @ SV200 @ SV323 ) )
= $true )
| ( ( ! [SY830: $i] :
( ~ ( r2_hidden @ SY830 @ SV76 )
| ( r2_hidden @ ( k1_funct_1 @ SV200 @ SY830 ) @ ( k1_funct_1 @ SV323 @ SY830 ) ) ) )
= $true )
| ( ( m1_pboole @ SV323 @ SV76 )
= $false )
| ( ( m1_pboole @ SV200 @ SV76 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[8077]) ).
thf(8176,plain,
! [SV323: $i,SV200: $i,SV76: $i] :
( ( ( ~ ! [SY831: $i] :
( ~ ( r2_hidden @ SY831 @ SV76 )
| ( r2_hidden @ ( k1_funct_1 @ SV200 @ SY831 ) @ ( k1_funct_1 @ SV323 @ SY831 ) ) ) )
= $true )
| ( ( r1_pboole @ SV76 @ SV200 @ SV323 )
= $true )
| ( ( m1_pboole @ SV323 @ SV76 )
= $false )
| ( ( m1_pboole @ SV200 @ SV76 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[8078]) ).
thf(8177,plain,
! [SV79: $i,SV283: $i,SV203: $i] :
( ( ( m1_subset_1 @ SV203 @ ( k1_zfmisc_1 @ SV283 ) )
= $false )
| ( ( r2_hidden @ SV79 @ SV203 )
= $false )
| ( ( ~ ( v1_xboole_0 @ SV283 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8079]) ).
thf(8178,plain,
! [SV324: $i,SV315: $i,SV284: $i,SV204: $i,SV80: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ SV80 @ SV204 )
| ~ ( r2_hidden @ SV204 @ SV284 ) )
| ~ ( r2_hidden @ SV284 @ SV315 ) ) )
= $true )
| ( ( ~ ( r2_hidden @ SV315 @ SV324 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV324 @ SV80 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[8080]) ).
thf(8179,plain,
! [SV285: $i,SV205: $i,SV81: $i] :
( ( ( r5_pboole @ SV81 @ SV205 @ SV285 )
= $false )
| ( ( r5_pboole @ SV81 @ SV285 @ SV205 )
= $true )
| ( ( m1_pboole @ SV205 @ SV81 )
= $false )
| ( ( m1_pboole @ SV285 @ SV81 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8081]) ).
thf(8180,plain,
! [SV206: $i,SV82: $i,SV286: $i,SV351: $i] :
( ( ( ~ ( ~ ( r2_hidden @ SV351 @ SV286 )
| ( r2_hidden @ SV351 @ SV82 )
| ( r2_hidden @ SV351 @ SV206 ) ) )
= $false )
| ( ( SV286
= ( k2_xboole_0 @ SV82 @ SV206 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8082]) ).
thf(8181,plain,
! [SV286: $i,SV206: $i,SV82: $i,SV351: $i] :
( ( ( ~ ( ~ ( ( r2_hidden @ SV351 @ SV82 )
| ( r2_hidden @ SV351 @ SV206 ) )
| ( r2_hidden @ SV351 @ SV286 ) ) )
= $false )
| ( ( SV286
= ( k2_xboole_0 @ SV82 @ SV206 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8082]) ).
thf(8182,plain,
! [SV286: $i,SV82: $i,SV206: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV286 )
| ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV82 )
| ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV206 ) ) )
= $true )
| ( ( ~ ( ~ ( ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV82 )
| ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV206 ) )
| ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV286 ) ) )
= $true )
| ( ( SV286
= ( k2_xboole_0 @ SV82 @ SV206 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[8083]) ).
thf(8183,plain,
! [SV337: $i,SV325: $i,SV316: $i,SV287: $i,SV207: $i,SV84: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ SV84 @ SV207 )
| ~ ( r2_hidden @ SV207 @ SV287 ) )
| ~ ( r2_hidden @ SV287 @ SV316 ) )
| ~ ( r2_hidden @ SV316 @ SV325 ) )
| ~ ( r2_hidden @ SV325 @ SV337 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV337 @ SV84 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8084]) ).
thf(8184,plain,
! [SV85: $i,SV208: $i] :
( ( ( ~ ( m1_subset_1 @ SV208 @ SV85 )
| ( r2_hidden @ SV208 @ SV85 ) )
= $true )
| ( ( v1_xboole_0 @ SV85 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8085]) ).
thf(8185,plain,
! [SV85: $i,SV208: $i] :
( ( ( ~ ( r2_hidden @ SV208 @ SV85 )
| ( m1_subset_1 @ SV208 @ SV85 ) )
= $true )
| ( ( v1_xboole_0 @ SV85 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8086]) ).
thf(8186,plain,
! [SV85: $i,SV208: $i] :
( ( ( ~ ( m1_subset_1 @ SV208 @ SV85 ) )
= $true )
| ( ( v1_xboole_0 @ SV208 )
= $true )
| ( ( v1_xboole_0 @ SV85 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[8087]) ).
thf(8187,plain,
! [SV85: $i,SV208: $i] :
( ( ( ~ ( v1_xboole_0 @ SV208 ) )
= $true )
| ( ( m1_subset_1 @ SV208 @ SV85 )
= $true )
| ( ( v1_xboole_0 @ SV85 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[8088]) ).
thf(8188,plain,
! [SV90: $i,SV211: $i,SV326: $i] :
( ( ( ~ ( r2_hidden @ ( sK41_SY833 @ SV326 @ SV211 @ SV90 ) @ SV90 ) )
= $false )
| ( ( SV211 = SV326 )
= $true )
| ( ( m1_pboole @ SV326 @ SV90 )
= $false )
| ( ( m1_pboole @ SV211 @ SV90 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8089]) ).
thf(8189,plain,
! [SV90: $i,SV326: $i,SV211: $i] :
( ( ( ( k1_funct_1 @ SV211 @ ( sK41_SY833 @ SV326 @ SV211 @ SV90 ) )
= ( k1_funct_1 @ SV326 @ ( sK41_SY833 @ SV326 @ SV211 @ SV90 ) ) )
= $false )
| ( ( SV211 = SV326 )
= $true )
| ( ( m1_pboole @ SV326 @ SV90 )
= $false )
| ( ( m1_pboole @ SV211 @ SV90 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8089]) ).
thf(8190,plain,
! [SV93: $i] :
( ( ( ! [SY854: $i] :
~ ~ ( ~ ~ ( ~ ( r2_hidden @ ( sK47_SY530 @ SV93 ) @ SV93 )
| ~ ( r2_hidden @ SY854 @ SV93 ) )
| ~ ( ( ( sK47_SY530 @ SV93 )
!= SY854 ) ) ) )
= $false )
| ( ( v1_realset1 @ SV93 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[8090]) ).
thf(8191,plain,
! [SV93: $i,SV356: $i] :
( ( ( ~ ! [SY851: $i] :
~ ~ ( ~ ~ ( ~ ( r2_hidden @ SV356 @ SV93 )
| ~ ( r2_hidden @ SY851 @ SV93 ) )
| ~ ( ( SV356 != SY851 ) ) ) )
= $false )
| ( ( ~ ( v1_realset1 @ SV93 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8091]) ).
thf(8192,plain,
! [SV97: $i] :
( ( ( v3_ordinal1 @ ( sK15_SY536 @ SV97 ) )
= $true )
| ( ( r2_hidden @ ( sK15_SY536 @ SV97 ) @ SV97 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8092]) ).
thf(8193,plain,
! [SV217: $i,SV99: $i] :
( ( ( r1_subset_1 @ SV99 @ SV99 )
= $false )
| ( ( v1_xboole_0 @ SV99 )
= $true )
| ( ( v1_xboole_0 @ SV217 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8095]) ).
thf(8194,plain,
! [SV291: $i,SV218: $i,SV100: $i] :
( ( ( r4_pboole @ SV100 @ SV218 @ SV291 )
= $false )
| ( ( r4_pboole @ SV100 @ SV291 @ SV218 )
= $true )
| ( ( m1_pboole @ SV218 @ SV100 )
= $false )
| ( ( m1_pboole @ SV291 @ SV100 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8096]) ).
thf(8195,plain,
! [SV221: $i,SV103: $i] :
( ( ( ~ ( r2_hidden @ ( sK33_SY736 @ SV103 @ SV221 ) @ SV221 ) )
= $false )
| ( ( r2_hidden @ SV103 @ SV221 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8099]) ).
thf(8196,plain,
! [SV103: $i,SV221: $i] :
( ( ( ~ ! [SY845: $i] :
~ ~ ( ~ ( r2_hidden @ SY845 @ SV221 )
| ~ ( r2_hidden @ SY845 @ ( sK33_SY736 @ SV103 @ SV221 ) ) ) )
= $false )
| ( ( r2_hidden @ SV103 @ SV221 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8099]) ).
thf(8197,plain,
! [SV222: $i,SV104: $i,SV293: $i,SV352: $i] :
( ( ( ~ ( ~ ( r2_hidden @ SV352 @ SV293 )
| ~ ( ~ ( r2_hidden @ SV352 @ SV104 )
| ~ ~ ( r2_hidden @ SV352 @ SV222 ) ) ) )
= $false )
| ( ( SV293
= ( k4_xboole_0 @ SV104 @ SV222 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8100]) ).
thf(8198,plain,
! [SV293: $i,SV222: $i,SV104: $i,SV352: $i] :
( ( ( ~ ( ~ ~ ( ~ ( r2_hidden @ SV352 @ SV104 )
| ~ ~ ( r2_hidden @ SV352 @ SV222 ) )
| ( r2_hidden @ SV352 @ SV293 ) ) )
= $false )
| ( ( SV293
= ( k4_xboole_0 @ SV104 @ SV222 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8100]) ).
thf(8199,plain,
! [SV293: $i,SV104: $i,SV222: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV293 )
| ~ ( ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV104 )
| ~ ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV222 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV104 )
| ~ ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV222 ) )
| ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV293 ) ) )
= $true )
| ( ( SV293
= ( k4_xboole_0 @ SV104 @ SV222 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[8101]) ).
thf(8200,plain,
! [SV223: $i,SV105: $i] :
( ( ( v1_xboole_0 @ ( k2_zfmisc_1 @ SV105 @ SV223 ) )
= $false )
| ( ( v1_xboole_0 @ SV105 )
= $true )
| ( ( v1_xboole_0 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8102]) ).
thf(8201,plain,
! [SV226: $i,SV108: $i] :
( ( ( SV108 = SV226 )
= $true )
| ( ( v1_xboole_0 @ SV108 )
= $false )
| ( ( ~ ( v1_xboole_0 @ SV226 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8103]) ).
thf(8202,plain,
! [SV296: $i,SV228: $i,SV110: $i] :
( ( ( ~ ( v1_xboole_0 @ SV110 ) )
= $false )
| ( ( ~ ( m1_pboole @ SV228 @ SV110 ) )
= $true )
| ( ( ~ ( m1_pboole @ SV296 @ SV110 ) )
= $true )
| ( ( ~ ( r3_pboole @ SV110 @ SV228 @ SV296 )
| ~ ( r3_pboole @ SV110 @ SV296 @ SV228 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8104]) ).
thf(8203,plain,
! [SV114: $i,SV230: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK48_SY744 @ SV230 @ SV114 ) @ SV114 )
| ~ ( r2_hidden @ ( sK48_SY744 @ SV230 @ SV114 ) @ SV230 ) )
= $false )
| ( ( SV230 = k1_xboole_0 )
= $true )
| ( ( m1_subset_1 @ SV230 @ ( k1_zfmisc_1 @ SV114 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[8105]) ).
thf(8204,plain,
! [SV231: $i,SV116: $i,SV328: $i] :
( ( ( ~ ( m2_pboole @ SV328 @ SV116 @ SV231 ) )
= $true )
| ( ( ! [SY834: $i] :
( ~ ( r2_hidden @ SY834 @ SV116 )
| ( m1_subset_1 @ ( k1_funct_1 @ SV328 @ SY834 ) @ ( k1_funct_1 @ SV231 @ SY834 ) ) ) )
= $true )
| ( ( m1_pboole @ SV328 @ SV116 )
= $false )
| ( ( m1_pboole @ SV231 @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[8106]) ).
thf(8205,plain,
! [SV231: $i,SV328: $i,SV116: $i] :
( ( ( ~ ! [SY835: $i] :
( ~ ( r2_hidden @ SY835 @ SV116 )
| ( m1_subset_1 @ ( k1_funct_1 @ SV328 @ SY835 ) @ ( k1_funct_1 @ SV231 @ SY835 ) ) ) )
= $true )
| ( ( m2_pboole @ SV328 @ SV116 @ SV231 )
= $true )
| ( ( m1_pboole @ SV328 @ SV116 )
= $false )
| ( ( m1_pboole @ SV231 @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[8107]) ).
thf(8206,plain,
! [SV343: $i,SV329: $i,SV232: $i,SV117: $i] :
( ( ( ~ ~ ( ~ ( r2_pboole @ SV117 @ SV232 @ SV329 )
| ~ ( r2_pboole @ SV117 @ SV329 @ SV343 ) ) )
= $true )
| ( ( r2_pboole @ SV117 @ SV232 @ SV343 )
= $true )
| ( ( m1_pboole @ SV343 @ SV117 )
= $false )
| ( ( m1_pboole @ SV329 @ SV117 )
= $false )
| ( ( m1_pboole @ SV232 @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[8108]) ).
thf(8207,plain,
! [SV331: $i,SV346: $i,SV122: $i] :
( ( ( ! [SY846: $i] :
~ ~ ( ~ ( r2_hidden @ SY846 @ SV122 )
| ( SV346
!= ( k1_funct_1 @ SV331 @ SY846 ) ) ) )
= $false )
| ( ( m1_subset_1 @ SV346 @ ( k2_relat_1 @ SV331 ) )
= $false )
| ( ( m1_pboole @ SV331 @ SV122 )
= $false )
| ( ( v1_xboole_0 @ SV122 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8112]) ).
thf(8208,plain,
! [SV123: $i,SV297: $i,SV234: $i] :
( ( ( r2_hidden @ SV234 @ SV297 )
= $false )
| ( ( r2_hidden @ SV123 @ SV234 )
= $false )
| ( ( ~ ( r2_hidden @ SV297 @ SV123 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8113]) ).
thf(8209,plain,
! [SV129: $i,SV239: $i,SV332: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK42_SY840 @ SV332 @ SV239 @ SV129 ) @ SV129 ) )
= $false )
| ( ( SV239 = SV332 )
= $true )
| ( ( m1_subset_1 @ SV332 @ ( k1_zfmisc_1 @ SV129 ) )
= $false )
| ( ( m1_subset_1 @ SV239 @ ( k1_zfmisc_1 @ SV129 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8114]) ).
thf(8210,plain,
! [SV129: $i,SV239: $i,SV332: $i] :
( ( ( ~ ( ~ ( ~ ( r2_hidden @ ( sK42_SY840 @ SV332 @ SV239 @ SV129 ) @ SV239 )
| ( r2_hidden @ ( sK42_SY840 @ SV332 @ SV239 @ SV129 ) @ SV332 ) )
| ~ ( ~ ( r2_hidden @ ( sK42_SY840 @ SV332 @ SV239 @ SV129 ) @ SV332 )
| ( r2_hidden @ ( sK42_SY840 @ SV332 @ SV239 @ SV129 ) @ SV239 ) ) ) )
= $false )
| ( ( SV239 = SV332 )
= $true )
| ( ( m1_subset_1 @ SV332 @ ( k1_zfmisc_1 @ SV129 ) )
= $false )
| ( ( m1_subset_1 @ SV239 @ ( k1_zfmisc_1 @ SV129 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8114]) ).
thf(8211,plain,
! [SV242: $i,SV133: $i] :
( ( ( SV133 != k1_xboole_0 )
= $false )
| ( ( SV133
= ( k1_tarski @ SV242 ) )
= $true )
| ( ( ~ ! [SY758: $i] :
~ ~ ( ~ ( r2_hidden @ SY758 @ SV133 )
| ~ ( ( SY758 != SV242 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8115]) ).
thf(8212,plain,
! [SV299: $i,SV243: $i,SV134: $i] :
( ( ( ~ ( v1_xboole_0 @ SV134 ) )
= $false )
| ( ( ~ ~ ( v1_xboole_0 @ SV243 ) )
= $true )
| ( ( ~ ~ ( v1_xboole_0 @ SV299 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k3_zfmisc_1 @ SV134 @ SV243 @ SV299 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8116]) ).
thf(8213,plain,
! [SV135: $i,SV244: $i] :
( ( ( ~ ( r2_hidden @ ( sK19_SY760 @ SV244 @ SV135 ) @ SV244 )
| ( r2_hidden @ ( sK19_SY760 @ SV244 @ SV135 ) @ SV135 ) )
= $false )
| ( ( r2_hidden @ ( sK19_SY760 @ SV244 @ SV135 ) @ SV135 )
= $true )
| ( ( SV135 = SV244 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8117]) ).
thf(8214,plain,
! [SV135: $i,SV244: $i] :
( ( ( ~ ( r2_hidden @ ( sK19_SY760 @ SV244 @ SV135 ) @ SV244 ) )
= $false )
| ( ( r2_hidden @ ( sK19_SY760 @ SV244 @ SV135 ) @ SV244 )
= $false )
| ( ( SV135 = SV244 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8118]) ).
thf(8215,plain,
! [SV135: $i,SV244: $i] :
( ( ( r2_hidden @ ( sK19_SY760 @ SV244 @ SV135 ) @ SV135 )
= $false )
| ( ( r2_hidden @ ( sK19_SY760 @ SV244 @ SV135 ) @ SV244 )
= $false )
| ( ( SV135 = SV244 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8118]) ).
thf(8216,plain,
! [SV136: $i,SV245: $i,SV333: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK43_SY841 @ SV333 @ SV245 @ SV136 ) @ ( k1_zfmisc_1 @ SV136 ) ) )
= $false )
| ( ( SV245 = SV333 )
= $true )
| ( ( m1_subset_1 @ SV333 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV136 ) ) )
= $false )
| ( ( m1_subset_1 @ SV245 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV136 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8119]) ).
thf(8217,plain,
! [SV136: $i,SV245: $i,SV333: $i] :
( ( ( ~ ( ~ ( ~ ( r2_hidden @ ( sK43_SY841 @ SV333 @ SV245 @ SV136 ) @ SV245 )
| ( r2_hidden @ ( sK43_SY841 @ SV333 @ SV245 @ SV136 ) @ SV333 ) )
| ~ ( ~ ( r2_hidden @ ( sK43_SY841 @ SV333 @ SV245 @ SV136 ) @ SV333 )
| ( r2_hidden @ ( sK43_SY841 @ SV333 @ SV245 @ SV136 ) @ SV245 ) ) ) )
= $false )
| ( ( SV245 = SV333 )
= $true )
| ( ( m1_subset_1 @ SV333 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV136 ) ) )
= $false )
| ( ( m1_subset_1 @ SV245 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV136 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8119]) ).
thf(8218,plain,
! [SV247: $i,SV138: $i] :
( ( ( ~ ( r2_subset_1 @ SV138 @ SV247 ) )
= $true )
| ( ( r2_subset_1 @ SV247 @ SV138 )
= $true )
| ( ( v1_xboole_0 @ SV138 )
= $true )
| ( ( v1_xboole_0 @ SV247 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[8120]) ).
thf(8219,plain,
! [SV248: $i,SV139: $i,SV357: $i] :
( ( ( ~ ( ~ ( r2_hidden @ SV357 @ SV139 )
| ~ ( v1_xboole_0 @ ( k1_funct_1 @ SV248 @ SV357 ) ) ) )
= $false )
| ( ( v2_relat_1 @ SV248 )
= $false )
| ( ( m1_pboole @ SV248 @ SV139 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8121]) ).
thf(8220,plain,
! [SV139: $i,SV248: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK44_SY765 @ SV248 @ SV139 ) @ SV139 )
| ~ ( v1_xboole_0 @ ( k1_funct_1 @ SV248 @ ( sK44_SY765 @ SV248 @ SV139 ) ) ) ) )
= $true )
| ( ( v2_relat_1 @ SV248 )
= $true )
| ( ( m1_pboole @ SV248 @ SV139 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8122]) ).
thf(8221,plain,
! [SV249: $i,SV140: $i,SV301: $i,SV353: $i] :
( ( ( ~ ( ~ ( r2_hidden @ SV353 @ SV301 )
| ( SV353 = SV140 )
| ( SV353 = SV249 ) ) )
= $false )
| ( ( SV301
= ( k2_tarski @ SV140 @ SV249 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8123]) ).
thf(8222,plain,
! [SV301: $i,SV249: $i,SV140: $i,SV353: $i] :
( ( ( ~ ( ~ ( ( SV353 = SV140 )
| ( SV353 = SV249 ) )
| ( r2_hidden @ SV353 @ SV301 ) ) )
= $false )
| ( ( SV301
= ( k2_tarski @ SV140 @ SV249 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8123]) ).
thf(8223,plain,
! [SV301: $i,SV140: $i,SV249: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK40_SY821 @ SV249 @ SV140 @ SV301 ) @ SV301 )
| ( ( sK40_SY821 @ SV249 @ SV140 @ SV301 )
= SV140 )
| ( ( sK40_SY821 @ SV249 @ SV140 @ SV301 )
= SV249 ) ) )
= $true )
| ( ( ~ ( ~ ( ( ( sK40_SY821 @ SV249 @ SV140 @ SV301 )
= SV140 )
| ( ( sK40_SY821 @ SV249 @ SV140 @ SV301 )
= SV249 ) )
| ( r2_hidden @ ( sK40_SY821 @ SV249 @ SV140 @ SV301 ) @ SV301 ) ) )
= $true )
| ( ( SV301
= ( k2_tarski @ SV140 @ SV249 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[8124]) ).
thf(8224,plain,
! [SV302: $i,SV250: $i,SV141: $i] :
( ( ( ~ ( ~ ( r2_hidden @ SV141 @ SV250 )
| ( r2_hidden @ SV141 @ SV302 ) ) )
= $true )
| ( ( ~ ( ~ ( r2_hidden @ SV141 @ SV302 )
| ( r2_hidden @ SV141 @ SV250 ) ) )
= $true )
| ( ( r2_hidden @ SV141 @ ( k5_xboole_0 @ SV250 @ SV302 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[8125]) ).
thf(8225,plain,
! [SV302: $i,SV250: $i,SV141: $i] :
( ( ( ~ ( ~ ( r2_hidden @ SV141 @ SV250 )
| ( r2_hidden @ SV141 @ SV302 ) ) )
= $false )
| ( ( r2_hidden @ SV141 @ ( k5_xboole_0 @ SV250 @ SV302 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8126]) ).
thf(8226,plain,
! [SV250: $i,SV302: $i,SV141: $i] :
( ( ( ~ ( ~ ( r2_hidden @ SV141 @ SV302 )
| ( r2_hidden @ SV141 @ SV250 ) ) )
= $false )
| ( ( r2_hidden @ SV141 @ ( k5_xboole_0 @ SV250 @ SV302 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8126]) ).
thf(8227,plain,
! [SV347: $i,SV334: $i,SV253: $i,SV144: $i] :
( ( ( ~ ~ ( ~ ( r7_pboole @ SV144 @ SV253 @ SV334 )
| ~ ( r7_pboole @ SV144 @ SV334 @ SV347 ) ) )
= $true )
| ( ( r7_pboole @ SV144 @ SV253 @ SV347 )
= $true )
| ( ( m1_pboole @ SV347 @ SV144 )
= $false )
| ( ( m1_pboole @ SV334 @ SV144 )
= $false )
| ( ( m1_pboole @ SV253 @ SV144 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[8127]) ).
thf(8228,plain,
! [SV304: $i,SV254: $i,SV145: $i] :
( ( ( ~ ( ~ ( r6_pboole @ SV145 @ SV254 @ SV304 )
| ( SV254 = SV304 ) ) )
= $false )
| ( ( m1_pboole @ SV254 @ SV145 )
= $false )
| ( ( m1_pboole @ SV304 @ SV145 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8128]) ).
thf(8229,plain,
! [SV145: $i,SV304: $i,SV254: $i] :
( ( ( ~ ( ( SV254 != SV304 )
| ( r6_pboole @ SV145 @ SV254 @ SV304 ) ) )
= $false )
| ( ( m1_pboole @ SV254 @ SV145 )
= $false )
| ( ( m1_pboole @ SV304 @ SV145 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8128]) ).
thf(8230,plain,
! [SV146: $i] :
( ( ( v1_xboole_0 @ ( sK24_SY626 @ SV146 ) )
= $false )
| ( ( v2_setfam_1 @ SV146 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8130]) ).
thf(8231,plain,
! [SV148: $i,SV256: $i] :
( ( ( ( SV256
!= ( k1_setfam_1 @ SV148 ) )
| ! [SY774: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY774 @ SV256 )
| ! [SY630: $i] :
( ~ ( r2_hidden @ SY630 @ SV148 )
| ( r2_hidden @ SY774 @ SY630 ) ) )
| ~ ( ~ ! [SY631: $i] :
( ~ ( r2_hidden @ SY631 @ SV148 )
| ( r2_hidden @ SY774 @ SY631 ) )
| ( r2_hidden @ SY774 @ SV256 ) ) ) )
= $true )
| ( ( SV148 = k1_xboole_0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8131]) ).
thf(8232,plain,
! [SV148: $i,SV256: $i] :
( ( ( ~ ! [SY777: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY777 @ SV256 )
| ! [SY633: $i] :
( ~ ( r2_hidden @ SY633 @ SV148 )
| ( r2_hidden @ SY777 @ SY633 ) ) )
| ~ ( ~ ! [SY634: $i] :
( ~ ( r2_hidden @ SY634 @ SV148 )
| ( r2_hidden @ SY777 @ SY634 ) )
| ( r2_hidden @ SY777 @ SV256 ) ) )
| ( SV256
= ( k1_setfam_1 @ SV148 ) ) )
= $true )
| ( ( SV148 = k1_xboole_0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8132]) ).
thf(8233,plain,
! [SV148: $i,SV256: $i] :
( ( ( SV256
!= ( k1_setfam_1 @ SV148 ) )
= $true )
| ( ( SV256 = k1_xboole_0 )
= $true )
| ( ( SV148 = k1_xboole_0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[8133]) ).
thf(8234,plain,
! [SV148: $i,SV256: $i] :
( ( ( SV256 != k1_xboole_0 )
= $true )
| ( ( SV256
= ( k1_setfam_1 @ SV148 ) )
= $true )
| ( ( SV148 = k1_xboole_0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[8134]) ).
thf(8235,plain,
! [SV149: $i,SV257: $i,SV348: $i] :
( ( ( ~ ( r2_hidden @ SV348 @ SV257 )
| ( SV348 = SV149 ) )
= $true )
| ( ( SV257
= ( k1_tarski @ SV149 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8135]) ).
thf(8236,plain,
! [SV257: $i,SV149: $i,SV348: $i] :
( ( ( ( SV348 != SV149 )
| ( r2_hidden @ SV348 @ SV257 ) )
= $true )
| ( ( SV257
= ( k1_tarski @ SV149 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8136]) ).
thf(8237,plain,
! [SV257: $i,SV149: $i] :
( ( ( ~ ( r2_hidden @ ( sK35_SY781 @ SV149 @ SV257 ) @ SV257 )
| ( ( sK35_SY781 @ SV149 @ SV257 )
= SV149 ) )
= $false )
| ( ( ~ ( ( ( sK35_SY781 @ SV149 @ SV257 )
!= SV149 )
| ( r2_hidden @ ( sK35_SY781 @ SV149 @ SV257 ) @ SV257 ) ) )
= $true )
| ( ( SV257
= ( k1_tarski @ SV149 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8137]) ).
thf(8238,plain,
! [SV258: $i,SV150: $i] :
( ( ( ! [SY782: $i] :
~ ~ ( ~ ( r2_hidden @ SY782 @ SV150 )
| ~ ( r2_hidden @ SY782 @ SV258 ) ) )
= $false )
| ( ( r1_xboole_0 @ SV150 @ SV258 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8138]) ).
thf(8239,plain,
! [SV258: $i,SV150: $i,SV359: $i] :
( ( ( ~ ~ ( ~ ( r2_hidden @ SV359 @ SV150 )
| ~ ( r2_hidden @ SV359 @ SV258 ) ) )
= $true )
| ( ( ~ ( r1_xboole_0 @ SV150 @ SV258 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[8139]) ).
thf(8240,plain,
! [SV151: $i,SV259: $i,SV349: $i] :
( ( ( ~ ( r2_hidden @ SV349 @ SV259 )
| ~ ! [SY847: $i] :
~ ~ ( ~ ( r2_hidden @ SV349 @ SY847 )
| ~ ( r2_hidden @ SY847 @ SV151 ) ) )
= $true )
| ( ( SV259
= ( k3_tarski @ SV151 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8140]) ).
thf(8241,plain,
! [SV259: $i,SV151: $i,SV349: $i] :
( ( ( ~ ~ ! [SY848: $i] :
~ ~ ( ~ ( r2_hidden @ SV349 @ SY848 )
| ~ ( r2_hidden @ SY848 @ SV151 ) )
| ( r2_hidden @ SV349 @ SV259 ) )
= $true )
| ( ( SV259
= ( k3_tarski @ SV151 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8141]) ).
thf(8242,plain,
! [SV259: $i,SV151: $i] :
( ( ( ~ ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SV259 )
| ~ ! [SY849: $i] :
~ ~ ( ~ ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SY849 )
| ~ ( r2_hidden @ SY849 @ SV151 ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY850: $i] :
~ ~ ( ~ ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SY850 )
| ~ ( r2_hidden @ SY850 @ SV151 ) )
| ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SV259 ) ) )
= $true )
| ( ( SV259
= ( k3_tarski @ SV151 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8142]) ).
thf(8243,plain,
! [SV154: $i,SV354: $i] :
( ( ( m1_subset_1 @ SV354 @ SV154 )
= $false )
| ( ( ~ ( v1_xboole_0 @ SV354 ) )
= $true )
| ( ( v1_xboole_0 @ SV154 )
= $true )
| ( ( v1_setfam_1 @ SV154 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8143]) ).
thf(8244,plain,
! [SV158: $i,SV340: $i] :
( ( ( r2_hidden @ SV340 @ SV158 )
= $false )
| ( ( v1_xboole_0 @ SV340 )
= $true )
| ( ( v2_setfam_1 @ SV158 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8144]) ).
thf(8245,plain,
! [SV161: $i,SV263: $i,SV306: $i] :
( ( ( ~ ( m3_pboole @ ( sK49_SY822 @ SV306 @ SV263 @ SV161 ) @ SV161 @ SV263 @ SV306 ) )
= $false )
| ( ( m1_pboole @ SV263 @ SV161 )
= $false )
| ( ( m1_pboole @ SV306 @ SV161 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[8146]) ).
thf(8246,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV163 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) )
| ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) ) )
| ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV163 ) ) )
= $true )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8147]) ).
thf(8247,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) )
| ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) )
| ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) ) )
| ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV163 ) ) )
= $true )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8148]) ).
thf(8248,plain,
! [SV309: $i,SV266: $i,SV165: $i] :
( ( ( r6_pboole @ SV165 @ SV266 @ SV309 )
= $false )
| ( ( r6_pboole @ SV165 @ SV309 @ SV266 )
= $true )
| ( ( m1_pboole @ SV266 @ SV165 )
= $false )
| ( ( m1_pboole @ SV309 @ SV165 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8149]) ).
thf(8249,plain,
! [SV318: $i,SV310: $i,SV267: $i,SV166: $i] :
( ( ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV166 )
| ~ ~ ( v1_xboole_0 @ SV267 ) ) )
= $true )
| ( ( ~ ~ ( v1_xboole_0 @ SV310 ) )
= $true )
| ( ( ~ ~ ( v1_xboole_0 @ SV318 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k4_zfmisc_1 @ SV166 @ SV267 @ SV310 @ SV318 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[8150]) ).
thf(8250,plain,
! [SV269: $i,SV168: $i,SV358: $i] :
( ( ( ~ ( r2_hidden @ SV358 @ SV168 ) )
= $true )
| ( ( v1_xboole_0 @ ( k1_funct_1 @ SV269 @ SV358 ) )
= $true )
| ( ( v3_relat_1 @ SV269 )
= $false )
| ( ( m1_pboole @ SV269 @ SV168 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[8151]) ).
thf(8251,plain,
! [SV168: $i,SV269: $i] :
( ( ( ~ ( r2_hidden @ ( sK45_SY802 @ SV269 @ SV168 ) @ SV168 ) )
= $false )
| ( ( v3_relat_1 @ SV269 )
= $true )
| ( ( m1_pboole @ SV269 @ SV168 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8152]) ).
thf(8252,plain,
! [SV168: $i,SV269: $i] :
( ( ( v1_xboole_0 @ ( k1_funct_1 @ SV269 @ ( sK45_SY802 @ SV269 @ SV168 ) ) )
= $false )
| ( ( v3_relat_1 @ SV269 )
= $true )
| ( ( m1_pboole @ SV269 @ SV168 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8152]) ).
thf(8253,plain,
! [SV180: $i,SV43: $i,SV270: $i,SV350: $i] :
( ( ( ~ ( r2_hidden @ SV350 @ SV270 )
| ~ ( ~ ( r2_hidden @ SV350 @ SV43 )
| ~ ( r2_hidden @ SV350 @ SV180 ) ) )
= $true )
| ( ( SV270
= ( k3_xboole_0 @ SV43 @ SV180 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8155]) ).
thf(8254,plain,
! [SV270: $i,SV180: $i,SV43: $i,SV350: $i] :
( ( ( ~ ~ ( ~ ( r2_hidden @ SV350 @ SV43 )
| ~ ( r2_hidden @ SV350 @ SV180 ) )
| ( r2_hidden @ SV350 @ SV270 ) )
= $true )
| ( ( SV270
= ( k3_xboole_0 @ SV43 @ SV180 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8156]) ).
thf(8255,plain,
! [SV270: $i,SV43: $i,SV180: $i] :
( ( ( ~ ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV270 )
| ~ ( ~ ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV43 )
| ~ ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV180 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV43 )
| ~ ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV180 ) )
| ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV270 ) ) )
= $true )
| ( ( SV270
= ( k3_xboole_0 @ SV43 @ SV180 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8157]) ).
thf(8256,plain,
! [SV341: $i,SV49: $i,SV338: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ SV338 @ SV49 )
| ~ ( r2_hidden @ SV341 @ SV49 ) )
| ~ ~ ( r2_hidden @ SV338 @ SV341 ) )
| ~ ( ( SV338 != SV341 ) ) ) )
= $false )
| ( ( ~ ~ ( r2_hidden @ SV341 @ SV338 ) )
= $true )
| ( ( v2_ordinal1 @ SV49 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8158]) ).
thf(8257,plain,
! [SV49: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ ( sK26_SY444 @ SV49 ) @ SV49 )
| ~ ( r2_hidden @ ( sK31_SY844 @ SV49 ) @ SV49 ) )
| ~ ~ ( r2_hidden @ ( sK26_SY444 @ SV49 ) @ ( sK31_SY844 @ SV49 ) ) )
| ~ ( ( ( sK26_SY444 @ SV49 )
!= ( sK31_SY844 @ SV49 ) ) ) ) )
= $true )
| ( ( v2_ordinal1 @ SV49 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8159]) ).
thf(8258,plain,
! [SV49: $i] :
( ( ( ~ ( r2_hidden @ ( sK31_SY844 @ SV49 ) @ ( sK26_SY444 @ SV49 ) ) )
= $true )
| ( ( v2_ordinal1 @ SV49 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8160]) ).
thf(8259,plain,
! [SV312: $i,SV273: $i,SV184: $i,SV50: $i] :
( ( ( ~ ( r2_hidden @ SV50 @ SV184 )
| ~ ( r2_hidden @ SV184 @ SV273 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV273 @ SV312 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV312 @ SV50 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8161]) ).
thf(8260,plain,
! [SV274: $i,SV185: $i,SV52: $i,SV355: $i] :
( ( ( m3_pboole @ SV355 @ SV52 @ SV185 @ SV274 )
= $false )
| ( ( m1_pboole @ SV355 @ SV52 )
= $true )
| ( ( m1_pboole @ SV185 @ SV52 )
= $false )
| ( ( m1_pboole @ SV274 @ SV52 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8162]) ).
thf(8261,plain,
! [SV57: $i,SV187: $i] :
( ( ( ~ ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 ) )
= $false )
| ( ( ~ ( ~ ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
| ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 ) ) )
= $true )
| ( ( ~ ! [SY690: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY690 @ SV187 )
| ( p1_s3_xboole_0 @ SY690 ) )
| ~ ( ~ ( p1_s3_xboole_0 @ SY690 )
| ( r2_hidden @ SY690 @ SV187 ) ) ) )
= $true )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8164]) ).
thf(8262,plain,
! [SV57: $i,SV187: $i] :
( ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $false )
| ( ( ~ ( ~ ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
| ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 ) ) )
= $true )
| ( ( ~ ! [SY690: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY690 @ SV187 )
| ( p1_s3_xboole_0 @ SY690 ) )
| ~ ( ~ ( p1_s3_xboole_0 @ SY690 )
| ( r2_hidden @ SY690 @ SV187 ) ) ) )
= $true )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8164]) ).
thf(8263,plain,
! [SV321: $i,SV59: $i,SV342: $i] :
( ( ( SV342
!= ( k1_closure3 @ SV59 @ SV321 ) )
= $true )
| ( ( SV342
= ( a_2_0_closure3 @ SV59 @ SV321 ) )
= $true )
| ( ( m1_pboole @ SV321 @ SV59 )
= $false )
| ( ( v1_xboole_0 @ SV59 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[8166]) ).
thf(8264,plain,
! [SV321: $i,SV59: $i,SV342: $i] :
( ( ( SV342
!= ( a_2_0_closure3 @ SV59 @ SV321 ) )
= $true )
| ( ( SV342
= ( k1_closure3 @ SV59 @ SV321 ) )
= $true )
| ( ( m1_pboole @ SV321 @ SV59 )
= $false )
| ( ( v1_xboole_0 @ SV59 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[8167]) ).
thf(8265,plain,
! [SV275: $i,SV189: $i,SV61: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ SV61 )
| ~ ( v2_relat_1 @ SV189 ) )
= $true )
| ( ( ~ ( m1_pboole @ SV189 @ SV61 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV275 @ SV61 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k1_funct_1 @ SV189 @ SV275 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8168]) ).
thf(8266,plain,
! [SV313: $i,SV64: $i] :
( ( ( ~ ~ ( r2_hidden @ SV64 @ SV313 ) )
= $true )
| ( ( ~ ( ( SV64 != SV313 ) ) )
= $true )
| ( ( ~ ~ ( r2_hidden @ SV313 @ SV64 ) )
= $true )
| ( ( v3_ordinal1 @ SV313 )
= $false )
| ( ( v3_ordinal1 @ SV64 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[8169]) ).
thf(8267,plain,
! [SV277: $i,SV192: $i,SV65: $i] :
( ( ( ~ ( ~ ( r2_hidden @ SV65 @ ( a_2_0_closure3 @ SV192 @ SV277 ) )
| ~ ! [SY807: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY807 @ SV192 )
| ( SV65 != SY807 ) )
| ~ ( ( ( k1_funct_1 @ SV277 @ SY807 )
!= k1_xboole_0 ) ) ) ) )
= $false )
| ( ( v1_xboole_0 @ SV192 )
= $true )
| ( ( m1_pboole @ SV277 @ SV192 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8170]) ).
thf(8268,plain,
! [SV277: $i,SV65: $i,SV192: $i] :
( ( ( ~ ( ~ ~ ! [SY808: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY808 @ SV192 )
| ( SV65 != SY808 ) )
| ~ ( ( ( k1_funct_1 @ SV277 @ SY808 )
!= k1_xboole_0 ) ) )
| ( r2_hidden @ SV65 @ ( a_2_0_closure3 @ SV192 @ SV277 ) ) ) )
= $false )
| ( ( v1_xboole_0 @ SV192 )
= $true )
| ( ( m1_pboole @ SV277 @ SV192 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8170]) ).
thf(8269,plain,
! [SV193: $i,SV66: $i] :
( ( ( r1_subset_1 @ SV66 @ SV193 )
= $false )
| ( ( r1_subset_1 @ SV193 @ SV66 )
= $true )
| ( ( v1_xboole_0 @ SV66 )
= $true )
| ( ( v1_xboole_0 @ SV193 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8171]) ).
thf(8270,plain,
! [SV73: $i,SV198: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK46_SY482 @ SV198 @ SV73 ) @ SV73 )
| ~ ! [SY852: $i,SY853: $i] :
( ( sK46_SY482 @ SV198 @ SV73 )
!= ( k4_tarski @ SY852 @ SY853 ) ) ) )
= $true )
| ( ( ~ ! [SY704: $i] :
~ ~ ( ~ ( r2_hidden @ SY704 @ SV198 )
| ~ ! [SX3: $i,SX4: $i] :
( SY704
!= ( k4_tarski @ SX3 @ SX4 ) ) ) )
= $true )
| ( ( ~ ! [SY707: $i,SY708: $i] :
~ ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 ) )
| ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 ) ) ) )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8174]) ).
thf(8271,plain,
! [SV323: $i,SV200: $i,SV76: $i] :
( ( ( r1_pboole @ SV76 @ SV200 @ SV323 )
= $false )
| ( ( ! [SY830: $i] :
( ~ ( r2_hidden @ SY830 @ SV76 )
| ( r2_hidden @ ( k1_funct_1 @ SV200 @ SY830 ) @ ( k1_funct_1 @ SV323 @ SY830 ) ) ) )
= $true )
| ( ( m1_pboole @ SV323 @ SV76 )
= $false )
| ( ( m1_pboole @ SV200 @ SV76 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8175]) ).
thf(8272,plain,
! [SV323: $i,SV200: $i,SV76: $i] :
( ( ( ! [SY831: $i] :
( ~ ( r2_hidden @ SY831 @ SV76 )
| ( r2_hidden @ ( k1_funct_1 @ SV200 @ SY831 ) @ ( k1_funct_1 @ SV323 @ SY831 ) ) ) )
= $false )
| ( ( r1_pboole @ SV76 @ SV200 @ SV323 )
= $true )
| ( ( m1_pboole @ SV323 @ SV76 )
= $false )
| ( ( m1_pboole @ SV200 @ SV76 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8176]) ).
thf(8273,plain,
! [SV203: $i,SV79: $i,SV283: $i] :
( ( ( v1_xboole_0 @ SV283 )
= $false )
| ( ( r2_hidden @ SV79 @ SV203 )
= $false )
| ( ( m1_subset_1 @ SV203 @ ( k1_zfmisc_1 @ SV283 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8177]) ).
thf(8274,plain,
! [SV324: $i,SV315: $i,SV284: $i,SV204: $i,SV80: $i] :
( ( ( ~ ( ~ ~ ( ~ ( r2_hidden @ SV80 @ SV204 )
| ~ ( r2_hidden @ SV204 @ SV284 ) )
| ~ ( r2_hidden @ SV284 @ SV315 ) ) )
= $false )
| ( ( ~ ( r2_hidden @ SV315 @ SV324 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV324 @ SV80 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8178]) ).
thf(8275,plain,
! [SV206: $i,SV82: $i,SV286: $i,SV351: $i] :
( ( ( ~ ( r2_hidden @ SV351 @ SV286 )
| ( r2_hidden @ SV351 @ SV82 )
| ( r2_hidden @ SV351 @ SV206 ) )
= $true )
| ( ( SV286
= ( k2_xboole_0 @ SV82 @ SV206 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8180]) ).
thf(8276,plain,
! [SV286: $i,SV206: $i,SV82: $i,SV351: $i] :
( ( ( ~ ( ( r2_hidden @ SV351 @ SV82 )
| ( r2_hidden @ SV351 @ SV206 ) )
| ( r2_hidden @ SV351 @ SV286 ) )
= $true )
| ( ( SV286
= ( k2_xboole_0 @ SV82 @ SV206 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8181]) ).
thf(8277,plain,
! [SV286: $i,SV82: $i,SV206: $i] :
( ( ( ~ ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV286 )
| ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV82 )
| ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV206 ) )
= $false )
| ( ( ~ ( ~ ( ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV82 )
| ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV206 ) )
| ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV286 ) ) )
= $true )
| ( ( SV286
= ( k2_xboole_0 @ SV82 @ SV206 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8182]) ).
thf(8278,plain,
! [SV337: $i,SV325: $i,SV316: $i,SV287: $i,SV207: $i,SV84: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ SV84 @ SV207 )
| ~ ( r2_hidden @ SV207 @ SV287 ) )
| ~ ( r2_hidden @ SV287 @ SV316 ) )
| ~ ( r2_hidden @ SV316 @ SV325 ) ) )
= $true )
| ( ( ~ ( r2_hidden @ SV325 @ SV337 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV337 @ SV84 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[8183]) ).
thf(8279,plain,
! [SV85: $i,SV208: $i] :
( ( ( ~ ( m1_subset_1 @ SV208 @ SV85 ) )
= $true )
| ( ( r2_hidden @ SV208 @ SV85 )
= $true )
| ( ( v1_xboole_0 @ SV85 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[8184]) ).
thf(8280,plain,
! [SV85: $i,SV208: $i] :
( ( ( ~ ( r2_hidden @ SV208 @ SV85 ) )
= $true )
| ( ( m1_subset_1 @ SV208 @ SV85 )
= $true )
| ( ( v1_xboole_0 @ SV85 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[8185]) ).
thf(8281,plain,
! [SV85: $i,SV208: $i] :
( ( ( m1_subset_1 @ SV208 @ SV85 )
= $false )
| ( ( v1_xboole_0 @ SV208 )
= $true )
| ( ( v1_xboole_0 @ SV85 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8186]) ).
thf(8282,plain,
! [SV85: $i,SV208: $i] :
( ( ( v1_xboole_0 @ SV208 )
= $false )
| ( ( m1_subset_1 @ SV208 @ SV85 )
= $true )
| ( ( v1_xboole_0 @ SV85 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8187]) ).
thf(8283,plain,
! [SV90: $i,SV211: $i,SV326: $i] :
( ( ( r2_hidden @ ( sK41_SY833 @ SV326 @ SV211 @ SV90 ) @ SV90 )
= $true )
| ( ( SV211 = SV326 )
= $true )
| ( ( m1_pboole @ SV326 @ SV90 )
= $false )
| ( ( m1_pboole @ SV211 @ SV90 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8188]) ).
thf(8284,plain,
! [SV93: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ ( sK47_SY530 @ SV93 ) @ SV93 )
| ~ ( r2_hidden @ ( sK50_SY854 @ SV93 ) @ SV93 ) )
| ~ ( ( ( sK47_SY530 @ SV93 )
!= ( sK50_SY854 @ SV93 ) ) ) ) )
= $false )
| ( ( v1_realset1 @ SV93 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[8190]) ).
thf(8285,plain,
! [SV93: $i,SV356: $i] :
( ( ( ! [SY851: $i] :
~ ~ ( ~ ~ ( ~ ( r2_hidden @ SV356 @ SV93 )
| ~ ( r2_hidden @ SY851 @ SV93 ) )
| ~ ( ( SV356 != SY851 ) ) ) )
= $true )
| ( ( ~ ( v1_realset1 @ SV93 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8191]) ).
thf(8286,plain,
! [SV221: $i,SV103: $i] :
( ( ( r2_hidden @ ( sK33_SY736 @ SV103 @ SV221 ) @ SV221 )
= $true )
| ( ( r2_hidden @ SV103 @ SV221 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8195]) ).
thf(8287,plain,
! [SV103: $i,SV221: $i] :
( ( ( ! [SY845: $i] :
~ ~ ( ~ ( r2_hidden @ SY845 @ SV221 )
| ~ ( r2_hidden @ SY845 @ ( sK33_SY736 @ SV103 @ SV221 ) ) ) )
= $true )
| ( ( r2_hidden @ SV103 @ SV221 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8196]) ).
thf(8288,plain,
! [SV222: $i,SV104: $i,SV293: $i,SV352: $i] :
( ( ( ~ ( r2_hidden @ SV352 @ SV293 )
| ~ ( ~ ( r2_hidden @ SV352 @ SV104 )
| ~ ~ ( r2_hidden @ SV352 @ SV222 ) ) )
= $true )
| ( ( SV293
= ( k4_xboole_0 @ SV104 @ SV222 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8197]) ).
thf(8289,plain,
! [SV293: $i,SV222: $i,SV104: $i,SV352: $i] :
( ( ( ~ ~ ( ~ ( r2_hidden @ SV352 @ SV104 )
| ~ ~ ( r2_hidden @ SV352 @ SV222 ) )
| ( r2_hidden @ SV352 @ SV293 ) )
= $true )
| ( ( SV293
= ( k4_xboole_0 @ SV104 @ SV222 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8198]) ).
thf(8290,plain,
! [SV293: $i,SV104: $i,SV222: $i] :
( ( ( ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV293 )
| ~ ( ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV104 )
| ~ ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV222 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV104 )
| ~ ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV222 ) )
| ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV293 ) ) )
= $true )
| ( ( SV293
= ( k4_xboole_0 @ SV104 @ SV222 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8199]) ).
thf(8291,plain,
! [SV108: $i,SV226: $i] :
( ( ( v1_xboole_0 @ SV226 )
= $false )
| ( ( v1_xboole_0 @ SV108 )
= $false )
| ( ( SV108 = SV226 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8201]) ).
thf(8292,plain,
! [SV296: $i,SV228: $i,SV110: $i] :
( ( ( v1_xboole_0 @ SV110 )
= $true )
| ( ( ~ ( m1_pboole @ SV228 @ SV110 ) )
= $true )
| ( ( ~ ( m1_pboole @ SV296 @ SV110 ) )
= $true )
| ( ( ~ ( r3_pboole @ SV110 @ SV228 @ SV296 )
| ~ ( r3_pboole @ SV110 @ SV296 @ SV228 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8202]) ).
thf(8293,plain,
! [SV114: $i,SV230: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK48_SY744 @ SV230 @ SV114 ) @ SV114 ) )
= $false )
| ( ( SV230 = k1_xboole_0 )
= $true )
| ( ( m1_subset_1 @ SV230 @ ( k1_zfmisc_1 @ SV114 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8203]) ).
thf(8294,plain,
! [SV114: $i,SV230: $i] :
( ( ( ~ ( r2_hidden @ ( sK48_SY744 @ SV230 @ SV114 ) @ SV230 ) )
= $false )
| ( ( SV230 = k1_xboole_0 )
= $true )
| ( ( m1_subset_1 @ SV230 @ ( k1_zfmisc_1 @ SV114 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8203]) ).
thf(8295,plain,
! [SV231: $i,SV116: $i,SV328: $i] :
( ( ( m2_pboole @ SV328 @ SV116 @ SV231 )
= $false )
| ( ( ! [SY834: $i] :
( ~ ( r2_hidden @ SY834 @ SV116 )
| ( m1_subset_1 @ ( k1_funct_1 @ SV328 @ SY834 ) @ ( k1_funct_1 @ SV231 @ SY834 ) ) ) )
= $true )
| ( ( m1_pboole @ SV328 @ SV116 )
= $false )
| ( ( m1_pboole @ SV231 @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8204]) ).
thf(8296,plain,
! [SV231: $i,SV328: $i,SV116: $i] :
( ( ( ! [SY835: $i] :
( ~ ( r2_hidden @ SY835 @ SV116 )
| ( m1_subset_1 @ ( k1_funct_1 @ SV328 @ SY835 ) @ ( k1_funct_1 @ SV231 @ SY835 ) ) ) )
= $false )
| ( ( m2_pboole @ SV328 @ SV116 @ SV231 )
= $true )
| ( ( m1_pboole @ SV328 @ SV116 )
= $false )
| ( ( m1_pboole @ SV231 @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8205]) ).
thf(8297,plain,
! [SV343: $i,SV329: $i,SV232: $i,SV117: $i] :
( ( ( ~ ( ~ ( r2_pboole @ SV117 @ SV232 @ SV329 )
| ~ ( r2_pboole @ SV117 @ SV329 @ SV343 ) ) )
= $false )
| ( ( r2_pboole @ SV117 @ SV232 @ SV343 )
= $true )
| ( ( m1_pboole @ SV343 @ SV117 )
= $false )
| ( ( m1_pboole @ SV329 @ SV117 )
= $false )
| ( ( m1_pboole @ SV232 @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8206]) ).
thf(8298,plain,
! [SV122: $i,SV346: $i,SV331: $i] :
( ( ( ~ ~ ( ~ ( r2_hidden @ ( sK51_SY846 @ SV331 @ SV346 @ SV122 ) @ SV122 )
| ( SV346
!= ( k1_funct_1 @ SV331 @ ( sK51_SY846 @ SV331 @ SV346 @ SV122 ) ) ) ) )
= $false )
| ( ( m1_subset_1 @ SV346 @ ( k2_relat_1 @ SV331 ) )
= $false )
| ( ( m1_pboole @ SV331 @ SV122 )
= $false )
| ( ( v1_xboole_0 @ SV122 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[8207]) ).
thf(8299,plain,
! [SV234: $i,SV123: $i,SV297: $i] :
( ( ( r2_hidden @ SV297 @ SV123 )
= $false )
| ( ( r2_hidden @ SV123 @ SV234 )
= $false )
| ( ( r2_hidden @ SV234 @ SV297 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8208]) ).
thf(8300,plain,
! [SV129: $i,SV239: $i,SV332: $i] :
( ( ( m1_subset_1 @ ( sK42_SY840 @ SV332 @ SV239 @ SV129 ) @ SV129 )
= $true )
| ( ( SV239 = SV332 )
= $true )
| ( ( m1_subset_1 @ SV332 @ ( k1_zfmisc_1 @ SV129 ) )
= $false )
| ( ( m1_subset_1 @ SV239 @ ( k1_zfmisc_1 @ SV129 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8209]) ).
thf(8301,plain,
! [SV129: $i,SV239: $i,SV332: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK42_SY840 @ SV332 @ SV239 @ SV129 ) @ SV239 )
| ( r2_hidden @ ( sK42_SY840 @ SV332 @ SV239 @ SV129 ) @ SV332 ) )
| ~ ( ~ ( r2_hidden @ ( sK42_SY840 @ SV332 @ SV239 @ SV129 ) @ SV332 )
| ( r2_hidden @ ( sK42_SY840 @ SV332 @ SV239 @ SV129 ) @ SV239 ) ) )
= $true )
| ( ( SV239 = SV332 )
= $true )
| ( ( m1_subset_1 @ SV332 @ ( k1_zfmisc_1 @ SV129 ) )
= $false )
| ( ( m1_subset_1 @ SV239 @ ( k1_zfmisc_1 @ SV129 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8210]) ).
thf(8302,plain,
! [SV242: $i,SV133: $i] :
( ( ( SV133 = k1_xboole_0 )
= $true )
| ( ( SV133
= ( k1_tarski @ SV242 ) )
= $true )
| ( ( ~ ! [SY758: $i] :
~ ~ ( ~ ( r2_hidden @ SY758 @ SV133 )
| ~ ( ( SY758 != SV242 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8211]) ).
thf(8303,plain,
! [SV299: $i,SV243: $i,SV134: $i] :
( ( ( v1_xboole_0 @ SV134 )
= $true )
| ( ( ~ ~ ( v1_xboole_0 @ SV243 ) )
= $true )
| ( ( ~ ~ ( v1_xboole_0 @ SV299 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k3_zfmisc_1 @ SV134 @ SV243 @ SV299 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8212]) ).
thf(8304,plain,
! [SV135: $i,SV244: $i] :
( ( ( ~ ( r2_hidden @ ( sK19_SY760 @ SV244 @ SV135 ) @ SV244 ) )
= $false )
| ( ( r2_hidden @ ( sK19_SY760 @ SV244 @ SV135 ) @ SV135 )
= $true )
| ( ( SV135 = SV244 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8213]) ).
thf(8305,plain,
! [SV135: $i,SV244: $i] :
( ( ( r2_hidden @ ( sK19_SY760 @ SV244 @ SV135 ) @ SV135 )
= $false )
| ( ( r2_hidden @ ( sK19_SY760 @ SV244 @ SV135 ) @ SV135 )
= $true )
| ( ( SV135 = SV244 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8213]) ).
thf(8306,plain,
! [SV135: $i,SV244: $i] :
( ( ( r2_hidden @ ( sK19_SY760 @ SV244 @ SV135 ) @ SV244 )
= $true )
| ( ( r2_hidden @ ( sK19_SY760 @ SV244 @ SV135 ) @ SV244 )
= $false )
| ( ( SV135 = SV244 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8214]) ).
thf(8307,plain,
! [SV136: $i,SV245: $i,SV333: $i] :
( ( ( m1_subset_1 @ ( sK43_SY841 @ SV333 @ SV245 @ SV136 ) @ ( k1_zfmisc_1 @ SV136 ) )
= $true )
| ( ( SV245 = SV333 )
= $true )
| ( ( m1_subset_1 @ SV333 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV136 ) ) )
= $false )
| ( ( m1_subset_1 @ SV245 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV136 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8216]) ).
thf(8308,plain,
! [SV136: $i,SV245: $i,SV333: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK43_SY841 @ SV333 @ SV245 @ SV136 ) @ SV245 )
| ( r2_hidden @ ( sK43_SY841 @ SV333 @ SV245 @ SV136 ) @ SV333 ) )
| ~ ( ~ ( r2_hidden @ ( sK43_SY841 @ SV333 @ SV245 @ SV136 ) @ SV333 )
| ( r2_hidden @ ( sK43_SY841 @ SV333 @ SV245 @ SV136 ) @ SV245 ) ) )
= $true )
| ( ( SV245 = SV333 )
= $true )
| ( ( m1_subset_1 @ SV333 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV136 ) ) )
= $false )
| ( ( m1_subset_1 @ SV245 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV136 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8217]) ).
thf(8309,plain,
! [SV247: $i,SV138: $i] :
( ( ( r2_subset_1 @ SV138 @ SV247 )
= $false )
| ( ( r2_subset_1 @ SV247 @ SV138 )
= $true )
| ( ( v1_xboole_0 @ SV138 )
= $true )
| ( ( v1_xboole_0 @ SV247 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8218]) ).
thf(8310,plain,
! [SV248: $i,SV139: $i,SV357: $i] :
( ( ( ~ ( r2_hidden @ SV357 @ SV139 )
| ~ ( v1_xboole_0 @ ( k1_funct_1 @ SV248 @ SV357 ) ) )
= $true )
| ( ( v2_relat_1 @ SV248 )
= $false )
| ( ( m1_pboole @ SV248 @ SV139 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8219]) ).
thf(8311,plain,
! [SV139: $i,SV248: $i] :
( ( ( ~ ( r2_hidden @ ( sK44_SY765 @ SV248 @ SV139 ) @ SV139 )
| ~ ( v1_xboole_0 @ ( k1_funct_1 @ SV248 @ ( sK44_SY765 @ SV248 @ SV139 ) ) ) )
= $false )
| ( ( v2_relat_1 @ SV248 )
= $true )
| ( ( m1_pboole @ SV248 @ SV139 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8220]) ).
thf(8312,plain,
! [SV249: $i,SV140: $i,SV301: $i,SV353: $i] :
( ( ( ~ ( r2_hidden @ SV353 @ SV301 )
| ( SV353 = SV140 )
| ( SV353 = SV249 ) )
= $true )
| ( ( SV301
= ( k2_tarski @ SV140 @ SV249 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8221]) ).
thf(8313,plain,
! [SV301: $i,SV249: $i,SV140: $i,SV353: $i] :
( ( ( ~ ( ( SV353 = SV140 )
| ( SV353 = SV249 ) )
| ( r2_hidden @ SV353 @ SV301 ) )
= $true )
| ( ( SV301
= ( k2_tarski @ SV140 @ SV249 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8222]) ).
thf(8314,plain,
! [SV301: $i,SV140: $i,SV249: $i] :
( ( ( ~ ( r2_hidden @ ( sK40_SY821 @ SV249 @ SV140 @ SV301 ) @ SV301 )
| ( ( sK40_SY821 @ SV249 @ SV140 @ SV301 )
= SV140 )
| ( ( sK40_SY821 @ SV249 @ SV140 @ SV301 )
= SV249 ) )
= $false )
| ( ( ~ ( ~ ( ( ( sK40_SY821 @ SV249 @ SV140 @ SV301 )
= SV140 )
| ( ( sK40_SY821 @ SV249 @ SV140 @ SV301 )
= SV249 ) )
| ( r2_hidden @ ( sK40_SY821 @ SV249 @ SV140 @ SV301 ) @ SV301 ) ) )
= $true )
| ( ( SV301
= ( k2_tarski @ SV140 @ SV249 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8223]) ).
thf(8315,plain,
! [SV302: $i,SV250: $i,SV141: $i] :
( ( ( ~ ( r2_hidden @ SV141 @ SV250 )
| ( r2_hidden @ SV141 @ SV302 ) )
= $false )
| ( ( ~ ( ~ ( r2_hidden @ SV141 @ SV302 )
| ( r2_hidden @ SV141 @ SV250 ) ) )
= $true )
| ( ( r2_hidden @ SV141 @ ( k5_xboole_0 @ SV250 @ SV302 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8224]) ).
thf(8316,plain,
! [SV302: $i,SV250: $i,SV141: $i] :
( ( ( ~ ( r2_hidden @ SV141 @ SV250 )
| ( r2_hidden @ SV141 @ SV302 ) )
= $true )
| ( ( r2_hidden @ SV141 @ ( k5_xboole_0 @ SV250 @ SV302 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8225]) ).
thf(8317,plain,
! [SV250: $i,SV302: $i,SV141: $i] :
( ( ( ~ ( r2_hidden @ SV141 @ SV302 )
| ( r2_hidden @ SV141 @ SV250 ) )
= $true )
| ( ( r2_hidden @ SV141 @ ( k5_xboole_0 @ SV250 @ SV302 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8226]) ).
thf(8318,plain,
! [SV347: $i,SV334: $i,SV253: $i,SV144: $i] :
( ( ( ~ ( ~ ( r7_pboole @ SV144 @ SV253 @ SV334 )
| ~ ( r7_pboole @ SV144 @ SV334 @ SV347 ) ) )
= $false )
| ( ( r7_pboole @ SV144 @ SV253 @ SV347 )
= $true )
| ( ( m1_pboole @ SV347 @ SV144 )
= $false )
| ( ( m1_pboole @ SV334 @ SV144 )
= $false )
| ( ( m1_pboole @ SV253 @ SV144 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8227]) ).
thf(8319,plain,
! [SV304: $i,SV254: $i,SV145: $i] :
( ( ( ~ ( r6_pboole @ SV145 @ SV254 @ SV304 )
| ( SV254 = SV304 ) )
= $true )
| ( ( m1_pboole @ SV254 @ SV145 )
= $false )
| ( ( m1_pboole @ SV304 @ SV145 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8228]) ).
thf(8320,plain,
! [SV145: $i,SV304: $i,SV254: $i] :
( ( ( ( SV254 != SV304 )
| ( r6_pboole @ SV145 @ SV254 @ SV304 ) )
= $true )
| ( ( m1_pboole @ SV254 @ SV145 )
= $false )
| ( ( m1_pboole @ SV304 @ SV145 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8229]) ).
thf(8321,plain,
! [SV148: $i,SV256: $i] :
( ( ( SV256
!= ( k1_setfam_1 @ SV148 ) )
= $true )
| ( ( ! [SY774: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY774 @ SV256 )
| ! [SY630: $i] :
( ~ ( r2_hidden @ SY630 @ SV148 )
| ( r2_hidden @ SY774 @ SY630 ) ) )
| ~ ( ~ ! [SY631: $i] :
( ~ ( r2_hidden @ SY631 @ SV148 )
| ( r2_hidden @ SY774 @ SY631 ) )
| ( r2_hidden @ SY774 @ SV256 ) ) ) )
= $true )
| ( ( SV148 = k1_xboole_0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[8231]) ).
thf(8322,plain,
! [SV148: $i,SV256: $i] :
( ( ( ~ ! [SY777: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY777 @ SV256 )
| ! [SY633: $i] :
( ~ ( r2_hidden @ SY633 @ SV148 )
| ( r2_hidden @ SY777 @ SY633 ) ) )
| ~ ( ~ ! [SY634: $i] :
( ~ ( r2_hidden @ SY634 @ SV148 )
| ( r2_hidden @ SY777 @ SY634 ) )
| ( r2_hidden @ SY777 @ SV256 ) ) ) )
= $true )
| ( ( SV256
= ( k1_setfam_1 @ SV148 ) )
= $true )
| ( ( SV148 = k1_xboole_0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[8232]) ).
thf(8323,plain,
! [SV148: $i,SV256: $i] :
( ( ( SV256
= ( k1_setfam_1 @ SV148 ) )
= $false )
| ( ( SV256 = k1_xboole_0 )
= $true )
| ( ( SV148 = k1_xboole_0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8233]) ).
thf(8324,plain,
! [SV148: $i,SV256: $i] :
( ( ( SV256 = k1_xboole_0 )
= $false )
| ( ( SV256
= ( k1_setfam_1 @ SV148 ) )
= $true )
| ( ( SV148 = k1_xboole_0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8234]) ).
thf(8325,plain,
! [SV149: $i,SV257: $i,SV348: $i] :
( ( ( ~ ( r2_hidden @ SV348 @ SV257 ) )
= $true )
| ( ( SV348 = SV149 )
= $true )
| ( ( SV257
= ( k1_tarski @ SV149 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[8235]) ).
thf(8326,plain,
! [SV257: $i,SV149: $i,SV348: $i] :
( ( ( SV348 != SV149 )
= $true )
| ( ( r2_hidden @ SV348 @ SV257 )
= $true )
| ( ( SV257
= ( k1_tarski @ SV149 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[8236]) ).
thf(8327,plain,
! [SV257: $i,SV149: $i] :
( ( ( ~ ( r2_hidden @ ( sK35_SY781 @ SV149 @ SV257 ) @ SV257 ) )
= $false )
| ( ( ~ ( ( ( sK35_SY781 @ SV149 @ SV257 )
!= SV149 )
| ( r2_hidden @ ( sK35_SY781 @ SV149 @ SV257 ) @ SV257 ) ) )
= $true )
| ( ( SV257
= ( k1_tarski @ SV149 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8237]) ).
thf(8328,plain,
! [SV257: $i,SV149: $i] :
( ( ( ( sK35_SY781 @ SV149 @ SV257 )
= SV149 )
= $false )
| ( ( ~ ( ( ( sK35_SY781 @ SV149 @ SV257 )
!= SV149 )
| ( r2_hidden @ ( sK35_SY781 @ SV149 @ SV257 ) @ SV257 ) ) )
= $true )
| ( ( SV257
= ( k1_tarski @ SV149 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8237]) ).
thf(8329,plain,
! [SV150: $i,SV258: $i] :
( ( ( ~ ~ ( ~ ( r2_hidden @ ( sK52_SY782 @ SV258 @ SV150 ) @ SV150 )
| ~ ( r2_hidden @ ( sK52_SY782 @ SV258 @ SV150 ) @ SV258 ) ) )
= $false )
| ( ( r1_xboole_0 @ SV150 @ SV258 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[8238]) ).
thf(8330,plain,
! [SV258: $i,SV150: $i,SV359: $i] :
( ( ( ~ ( ~ ( r2_hidden @ SV359 @ SV150 )
| ~ ( r2_hidden @ SV359 @ SV258 ) ) )
= $false )
| ( ( ~ ( r1_xboole_0 @ SV150 @ SV258 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8239]) ).
thf(8331,plain,
! [SV151: $i,SV259: $i,SV349: $i] :
( ( ( ~ ( r2_hidden @ SV349 @ SV259 ) )
= $true )
| ( ( ~ ! [SY847: $i] :
~ ~ ( ~ ( r2_hidden @ SV349 @ SY847 )
| ~ ( r2_hidden @ SY847 @ SV151 ) ) )
= $true )
| ( ( SV259
= ( k3_tarski @ SV151 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[8240]) ).
thf(8332,plain,
! [SV259: $i,SV151: $i,SV349: $i] :
( ( ( ~ ~ ! [SY848: $i] :
~ ~ ( ~ ( r2_hidden @ SV349 @ SY848 )
| ~ ( r2_hidden @ SY848 @ SV151 ) ) )
= $true )
| ( ( r2_hidden @ SV349 @ SV259 )
= $true )
| ( ( SV259
= ( k3_tarski @ SV151 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[8241]) ).
thf(8333,plain,
! [SV259: $i,SV151: $i] :
( ( ( ~ ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SV259 ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY850: $i] :
~ ~ ( ~ ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SY850 )
| ~ ( r2_hidden @ SY850 @ SV151 ) )
| ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SV259 ) ) )
= $true )
| ( ( SV259
= ( k3_tarski @ SV151 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8242]) ).
thf(8334,plain,
! [SV259: $i,SV151: $i] :
( ( ( ~ ! [SY849: $i] :
~ ~ ( ~ ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SY849 )
| ~ ( r2_hidden @ SY849 @ SV151 ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY850: $i] :
~ ~ ( ~ ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SY850 )
| ~ ( r2_hidden @ SY850 @ SV151 ) )
| ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SV259 ) ) )
= $true )
| ( ( SV259
= ( k3_tarski @ SV151 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8242]) ).
thf(8335,plain,
! [SV154: $i,SV354: $i] :
( ( ( v1_xboole_0 @ SV354 )
= $false )
| ( ( m1_subset_1 @ SV354 @ SV154 )
= $false )
| ( ( v1_xboole_0 @ SV154 )
= $true )
| ( ( v1_setfam_1 @ SV154 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8243]) ).
thf(8336,plain,
! [SV161: $i,SV263: $i,SV306: $i] :
( ( ( m3_pboole @ ( sK49_SY822 @ SV306 @ SV263 @ SV161 ) @ SV161 @ SV263 @ SV306 )
= $true )
| ( ( m1_pboole @ SV263 @ SV161 )
= $false )
| ( ( m1_pboole @ SV306 @ SV161 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8245]) ).
thf(8337,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV163 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) )
| ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) ) )
| ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV163 ) ) )
= $true )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8246]) ).
thf(8338,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) ) )
= $true )
| ( ( ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) )
| ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) ) )
| ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV163 ) ) )
= $true )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[8247]) ).
thf(8339,plain,
! [SV318: $i,SV310: $i,SV267: $i,SV166: $i] :
( ( ( ~ ( ~ ~ ( v1_xboole_0 @ SV166 )
| ~ ~ ( v1_xboole_0 @ SV267 ) ) )
= $false )
| ( ( ~ ~ ( v1_xboole_0 @ SV310 ) )
= $true )
| ( ( ~ ~ ( v1_xboole_0 @ SV318 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k4_zfmisc_1 @ SV166 @ SV267 @ SV310 @ SV318 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8249]) ).
thf(8340,plain,
! [SV269: $i,SV168: $i,SV358: $i] :
( ( ( r2_hidden @ SV358 @ SV168 )
= $false )
| ( ( v1_xboole_0 @ ( k1_funct_1 @ SV269 @ SV358 ) )
= $true )
| ( ( v3_relat_1 @ SV269 )
= $false )
| ( ( m1_pboole @ SV269 @ SV168 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8250]) ).
thf(8341,plain,
! [SV168: $i,SV269: $i] :
( ( ( r2_hidden @ ( sK45_SY802 @ SV269 @ SV168 ) @ SV168 )
= $true )
| ( ( v3_relat_1 @ SV269 )
= $true )
| ( ( m1_pboole @ SV269 @ SV168 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8251]) ).
thf(8342,plain,
! [SV180: $i,SV43: $i,SV270: $i,SV350: $i] :
( ( ( ~ ( r2_hidden @ SV350 @ SV270 ) )
= $true )
| ( ( ~ ( ~ ( r2_hidden @ SV350 @ SV43 )
| ~ ( r2_hidden @ SV350 @ SV180 ) ) )
= $true )
| ( ( SV270
= ( k3_xboole_0 @ SV43 @ SV180 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[8253]) ).
thf(8343,plain,
! [SV270: $i,SV180: $i,SV43: $i,SV350: $i] :
( ( ( ~ ~ ( ~ ( r2_hidden @ SV350 @ SV43 )
| ~ ( r2_hidden @ SV350 @ SV180 ) ) )
= $true )
| ( ( r2_hidden @ SV350 @ SV270 )
= $true )
| ( ( SV270
= ( k3_xboole_0 @ SV43 @ SV180 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[8254]) ).
thf(8344,plain,
! [SV270: $i,SV43: $i,SV180: $i] :
( ( ( ~ ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV270 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV43 )
| ~ ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV180 ) )
| ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV270 ) ) )
= $true )
| ( ( SV270
= ( k3_xboole_0 @ SV43 @ SV180 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8255]) ).
thf(8345,plain,
! [SV270: $i,SV43: $i,SV180: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV43 )
| ~ ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV180 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV43 )
| ~ ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV180 ) )
| ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV270 ) ) )
= $true )
| ( ( SV270
= ( k3_xboole_0 @ SV43 @ SV180 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8255]) ).
thf(8346,plain,
! [SV341: $i,SV49: $i,SV338: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ SV338 @ SV49 )
| ~ ( r2_hidden @ SV341 @ SV49 ) )
| ~ ~ ( r2_hidden @ SV338 @ SV341 ) )
| ~ ( ( SV338 != SV341 ) ) )
= $true )
| ( ( ~ ~ ( r2_hidden @ SV341 @ SV338 ) )
= $true )
| ( ( v2_ordinal1 @ SV49 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8256]) ).
thf(8347,plain,
! [SV49: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ ( sK26_SY444 @ SV49 ) @ SV49 )
| ~ ( r2_hidden @ ( sK31_SY844 @ SV49 ) @ SV49 ) )
| ~ ~ ( r2_hidden @ ( sK26_SY444 @ SV49 ) @ ( sK31_SY844 @ SV49 ) ) )
| ~ ( ( ( sK26_SY444 @ SV49 )
!= ( sK31_SY844 @ SV49 ) ) ) )
= $false )
| ( ( v2_ordinal1 @ SV49 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8257]) ).
thf(8348,plain,
! [SV49: $i] :
( ( ( r2_hidden @ ( sK31_SY844 @ SV49 ) @ ( sK26_SY444 @ SV49 ) )
= $false )
| ( ( v2_ordinal1 @ SV49 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8258]) ).
thf(8349,plain,
! [SV312: $i,SV273: $i,SV184: $i,SV50: $i] :
( ( ( ~ ( r2_hidden @ SV50 @ SV184 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV184 @ SV273 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV273 @ SV312 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV312 @ SV50 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[8259]) ).
thf(8350,plain,
! [SV57: $i,SV187: $i] :
( ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $true )
| ( ( ~ ( ~ ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
| ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 ) ) )
= $true )
| ( ( ~ ! [SY690: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY690 @ SV187 )
| ( p1_s3_xboole_0 @ SY690 ) )
| ~ ( ~ ( p1_s3_xboole_0 @ SY690 )
| ( r2_hidden @ SY690 @ SV187 ) ) ) )
= $true )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8261]) ).
thf(8351,plain,
! [SV57: $i,SV187: $i] :
( ( ( ~ ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
| ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 ) )
= $false )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $false )
| ( ( ~ ! [SY690: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY690 @ SV187 )
| ( p1_s3_xboole_0 @ SY690 ) )
| ~ ( ~ ( p1_s3_xboole_0 @ SY690 )
| ( r2_hidden @ SY690 @ SV187 ) ) ) )
= $true )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8262]) ).
thf(8352,plain,
! [SV321: $i,SV59: $i,SV342: $i] :
( ( ( SV342
= ( k1_closure3 @ SV59 @ SV321 ) )
= $false )
| ( ( SV342
= ( a_2_0_closure3 @ SV59 @ SV321 ) )
= $true )
| ( ( m1_pboole @ SV321 @ SV59 )
= $false )
| ( ( v1_xboole_0 @ SV59 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8263]) ).
thf(8353,plain,
! [SV321: $i,SV59: $i,SV342: $i] :
( ( ( SV342
= ( a_2_0_closure3 @ SV59 @ SV321 ) )
= $false )
| ( ( SV342
= ( k1_closure3 @ SV59 @ SV321 ) )
= $true )
| ( ( m1_pboole @ SV321 @ SV59 )
= $false )
| ( ( v1_xboole_0 @ SV59 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8264]) ).
thf(8354,plain,
! [SV275: $i,SV189: $i,SV61: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ SV61 ) )
= $true )
| ( ( ~ ( v2_relat_1 @ SV189 ) )
= $true )
| ( ( ~ ( m1_pboole @ SV189 @ SV61 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV275 @ SV61 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k1_funct_1 @ SV189 @ SV275 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[8265]) ).
thf(8355,plain,
! [SV313: $i,SV64: $i] :
( ( ( ~ ( r2_hidden @ SV64 @ SV313 ) )
= $false )
| ( ( ~ ( ( SV64 != SV313 ) ) )
= $true )
| ( ( ~ ~ ( r2_hidden @ SV313 @ SV64 ) )
= $true )
| ( ( v3_ordinal1 @ SV313 )
= $false )
| ( ( v3_ordinal1 @ SV64 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8266]) ).
thf(8356,plain,
! [SV277: $i,SV192: $i,SV65: $i] :
( ( ( ~ ( r2_hidden @ SV65 @ ( a_2_0_closure3 @ SV192 @ SV277 ) )
| ~ ! [SY807: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY807 @ SV192 )
| ( SV65 != SY807 ) )
| ~ ( ( ( k1_funct_1 @ SV277 @ SY807 )
!= k1_xboole_0 ) ) ) )
= $true )
| ( ( v1_xboole_0 @ SV192 )
= $true )
| ( ( m1_pboole @ SV277 @ SV192 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8267]) ).
thf(8357,plain,
! [SV277: $i,SV65: $i,SV192: $i] :
( ( ( ~ ~ ! [SY808: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY808 @ SV192 )
| ( SV65 != SY808 ) )
| ~ ( ( ( k1_funct_1 @ SV277 @ SY808 )
!= k1_xboole_0 ) ) )
| ( r2_hidden @ SV65 @ ( a_2_0_closure3 @ SV192 @ SV277 ) ) )
= $true )
| ( ( v1_xboole_0 @ SV192 )
= $true )
| ( ( m1_pboole @ SV277 @ SV192 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8268]) ).
thf(8358,plain,
! [SV73: $i,SV198: $i] :
( ( ( ~ ( r2_hidden @ ( sK46_SY482 @ SV198 @ SV73 ) @ SV73 )
| ~ ! [SY852: $i,SY853: $i] :
( ( sK46_SY482 @ SV198 @ SV73 )
!= ( k4_tarski @ SY852 @ SY853 ) ) )
= $false )
| ( ( ~ ! [SY704: $i] :
~ ~ ( ~ ( r2_hidden @ SY704 @ SV198 )
| ~ ! [SX3: $i,SX4: $i] :
( SY704
!= ( k4_tarski @ SX3 @ SX4 ) ) ) )
= $true )
| ( ( ~ ! [SY707: $i,SY708: $i] :
~ ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 ) )
| ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 ) ) ) )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8270]) ).
thf(8359,plain,
! [SV323: $i,SV200: $i,SV76: $i,SV360: $i] :
( ( ( ~ ( r2_hidden @ SV360 @ SV76 )
| ( r2_hidden @ ( k1_funct_1 @ SV200 @ SV360 ) @ ( k1_funct_1 @ SV323 @ SV360 ) ) )
= $true )
| ( ( r1_pboole @ SV76 @ SV200 @ SV323 )
= $false )
| ( ( m1_pboole @ SV323 @ SV76 )
= $false )
| ( ( m1_pboole @ SV200 @ SV76 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[8271]) ).
thf(8360,plain,
! [SV76: $i,SV200: $i,SV323: $i] :
( ( ( ~ ( r2_hidden @ ( sK53_SY831 @ SV323 @ SV200 @ SV76 ) @ SV76 )
| ( r2_hidden @ ( k1_funct_1 @ SV200 @ ( sK53_SY831 @ SV323 @ SV200 @ SV76 ) ) @ ( k1_funct_1 @ SV323 @ ( sK53_SY831 @ SV323 @ SV200 @ SV76 ) ) ) )
= $false )
| ( ( r1_pboole @ SV76 @ SV200 @ SV323 )
= $true )
| ( ( m1_pboole @ SV323 @ SV76 )
= $false )
| ( ( m1_pboole @ SV200 @ SV76 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[8272]) ).
thf(8361,plain,
! [SV324: $i,SV315: $i,SV284: $i,SV204: $i,SV80: $i] :
( ( ( ~ ~ ( ~ ( r2_hidden @ SV80 @ SV204 )
| ~ ( r2_hidden @ SV204 @ SV284 ) )
| ~ ( r2_hidden @ SV284 @ SV315 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV315 @ SV324 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV324 @ SV80 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8274]) ).
thf(8362,plain,
! [SV206: $i,SV82: $i,SV286: $i,SV351: $i] :
( ( ( ~ ( r2_hidden @ SV351 @ SV286 ) )
= $true )
| ( ( ( r2_hidden @ SV351 @ SV82 )
| ( r2_hidden @ SV351 @ SV206 ) )
= $true )
| ( ( SV286
= ( k2_xboole_0 @ SV82 @ SV206 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[8275]) ).
thf(8363,plain,
! [SV286: $i,SV206: $i,SV82: $i,SV351: $i] :
( ( ( ~ ( ( r2_hidden @ SV351 @ SV82 )
| ( r2_hidden @ SV351 @ SV206 ) ) )
= $true )
| ( ( r2_hidden @ SV351 @ SV286 )
= $true )
| ( ( SV286
= ( k2_xboole_0 @ SV82 @ SV206 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[8276]) ).
thf(8364,plain,
! [SV286: $i,SV82: $i,SV206: $i] :
( ( ( ~ ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV286 ) )
= $false )
| ( ( ~ ( ~ ( ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV82 )
| ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV206 ) )
| ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV286 ) ) )
= $true )
| ( ( SV286
= ( k2_xboole_0 @ SV82 @ SV206 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8277]) ).
thf(8365,plain,
! [SV286: $i,SV82: $i,SV206: $i] :
( ( ( ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV82 )
| ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV206 ) )
= $false )
| ( ( ~ ( ~ ( ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV82 )
| ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV206 ) )
| ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV286 ) ) )
= $true )
| ( ( SV286
= ( k2_xboole_0 @ SV82 @ SV206 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8277]) ).
thf(8366,plain,
! [SV337: $i,SV325: $i,SV316: $i,SV287: $i,SV207: $i,SV84: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ SV84 @ SV207 )
| ~ ( r2_hidden @ SV207 @ SV287 ) )
| ~ ( r2_hidden @ SV287 @ SV316 ) )
| ~ ( r2_hidden @ SV316 @ SV325 ) ) )
= $false )
| ( ( ~ ( r2_hidden @ SV325 @ SV337 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV337 @ SV84 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8278]) ).
thf(8367,plain,
! [SV85: $i,SV208: $i] :
( ( ( m1_subset_1 @ SV208 @ SV85 )
= $false )
| ( ( r2_hidden @ SV208 @ SV85 )
= $true )
| ( ( v1_xboole_0 @ SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8279]) ).
thf(8368,plain,
! [SV85: $i,SV208: $i] :
( ( ( r2_hidden @ SV208 @ SV85 )
= $false )
| ( ( m1_subset_1 @ SV208 @ SV85 )
= $true )
| ( ( v1_xboole_0 @ SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8280]) ).
thf(8369,plain,
! [SV93: $i] :
( ( ( ~ ( ~ ~ ( ~ ( r2_hidden @ ( sK47_SY530 @ SV93 ) @ SV93 )
| ~ ( r2_hidden @ ( sK50_SY854 @ SV93 ) @ SV93 ) )
| ~ ( ( ( sK47_SY530 @ SV93 )
!= ( sK50_SY854 @ SV93 ) ) ) ) )
= $true )
| ( ( v1_realset1 @ SV93 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8284]) ).
thf(8370,plain,
! [SV361: $i,SV93: $i,SV356: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ SV356 @ SV93 )
| ~ ( r2_hidden @ SV361 @ SV93 ) )
| ~ ( ( SV356 != SV361 ) ) ) )
= $true )
| ( ( ~ ( v1_realset1 @ SV93 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[8285]) ).
thf(8371,plain,
! [SV103: $i,SV221: $i,SV362: $i] :
( ( ( ~ ~ ( ~ ( r2_hidden @ SV362 @ SV221 )
| ~ ( r2_hidden @ SV362 @ ( sK33_SY736 @ SV103 @ SV221 ) ) ) )
= $true )
| ( ( r2_hidden @ SV103 @ SV221 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[8287]) ).
thf(8372,plain,
! [SV222: $i,SV104: $i,SV293: $i,SV352: $i] :
( ( ( ~ ( r2_hidden @ SV352 @ SV293 ) )
= $true )
| ( ( ~ ( ~ ( r2_hidden @ SV352 @ SV104 )
| ~ ~ ( r2_hidden @ SV352 @ SV222 ) ) )
= $true )
| ( ( SV293
= ( k4_xboole_0 @ SV104 @ SV222 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[8288]) ).
thf(8373,plain,
! [SV293: $i,SV222: $i,SV104: $i,SV352: $i] :
( ( ( ~ ~ ( ~ ( r2_hidden @ SV352 @ SV104 )
| ~ ~ ( r2_hidden @ SV352 @ SV222 ) ) )
= $true )
| ( ( r2_hidden @ SV352 @ SV293 )
= $true )
| ( ( SV293
= ( k4_xboole_0 @ SV104 @ SV222 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[8289]) ).
thf(8374,plain,
! [SV293: $i,SV104: $i,SV222: $i] :
( ( ( ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV293 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV104 )
| ~ ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV222 ) )
| ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV293 ) ) )
= $true )
| ( ( SV293
= ( k4_xboole_0 @ SV104 @ SV222 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8290]) ).
thf(8375,plain,
! [SV293: $i,SV104: $i,SV222: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV104 )
| ~ ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV222 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV104 )
| ~ ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV222 ) )
| ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV293 ) ) )
= $true )
| ( ( SV293
= ( k4_xboole_0 @ SV104 @ SV222 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8290]) ).
thf(8376,plain,
! [SV296: $i,SV110: $i,SV228: $i] :
( ( ( m1_pboole @ SV228 @ SV110 )
= $false )
| ( ( v1_xboole_0 @ SV110 )
= $true )
| ( ( ~ ( m1_pboole @ SV296 @ SV110 ) )
= $true )
| ( ( ~ ( r3_pboole @ SV110 @ SV228 @ SV296 )
| ~ ( r3_pboole @ SV110 @ SV296 @ SV228 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8292]) ).
thf(8377,plain,
! [SV114: $i,SV230: $i] :
( ( ( m1_subset_1 @ ( sK48_SY744 @ SV230 @ SV114 ) @ SV114 )
= $true )
| ( ( SV230 = k1_xboole_0 )
= $true )
| ( ( m1_subset_1 @ SV230 @ ( k1_zfmisc_1 @ SV114 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8293]) ).
thf(8378,plain,
! [SV114: $i,SV230: $i] :
( ( ( r2_hidden @ ( sK48_SY744 @ SV230 @ SV114 ) @ SV230 )
= $true )
| ( ( SV230 = k1_xboole_0 )
= $true )
| ( ( m1_subset_1 @ SV230 @ ( k1_zfmisc_1 @ SV114 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8294]) ).
thf(8379,plain,
! [SV231: $i,SV328: $i,SV116: $i,SV363: $i] :
( ( ( ~ ( r2_hidden @ SV363 @ SV116 )
| ( m1_subset_1 @ ( k1_funct_1 @ SV328 @ SV363 ) @ ( k1_funct_1 @ SV231 @ SV363 ) ) )
= $true )
| ( ( m2_pboole @ SV328 @ SV116 @ SV231 )
= $false )
| ( ( m1_pboole @ SV328 @ SV116 )
= $false )
| ( ( m1_pboole @ SV231 @ SV116 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[8295]) ).
thf(8380,plain,
! [SV116: $i,SV328: $i,SV231: $i] :
( ( ( ~ ( r2_hidden @ ( sK54_SY835 @ SV231 @ SV328 @ SV116 ) @ SV116 )
| ( m1_subset_1 @ ( k1_funct_1 @ SV328 @ ( sK54_SY835 @ SV231 @ SV328 @ SV116 ) ) @ ( k1_funct_1 @ SV231 @ ( sK54_SY835 @ SV231 @ SV328 @ SV116 ) ) ) )
= $false )
| ( ( m2_pboole @ SV328 @ SV116 @ SV231 )
= $true )
| ( ( m1_pboole @ SV328 @ SV116 )
= $false )
| ( ( m1_pboole @ SV231 @ SV116 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[8296]) ).
thf(8381,plain,
! [SV343: $i,SV329: $i,SV232: $i,SV117: $i] :
( ( ( ~ ( r2_pboole @ SV117 @ SV232 @ SV329 )
| ~ ( r2_pboole @ SV117 @ SV329 @ SV343 ) )
= $true )
| ( ( r2_pboole @ SV117 @ SV232 @ SV343 )
= $true )
| ( ( m1_pboole @ SV343 @ SV117 )
= $false )
| ( ( m1_pboole @ SV329 @ SV117 )
= $false )
| ( ( m1_pboole @ SV232 @ SV117 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8297]) ).
thf(8382,plain,
! [SV122: $i,SV346: $i,SV331: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK51_SY846 @ SV331 @ SV346 @ SV122 ) @ SV122 )
| ( SV346
!= ( k1_funct_1 @ SV331 @ ( sK51_SY846 @ SV331 @ SV346 @ SV122 ) ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV346 @ ( k2_relat_1 @ SV331 ) )
= $false )
| ( ( m1_pboole @ SV331 @ SV122 )
= $false )
| ( ( v1_xboole_0 @ SV122 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8298]) ).
thf(8383,plain,
! [SV129: $i,SV239: $i,SV332: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK42_SY840 @ SV332 @ SV239 @ SV129 ) @ SV239 )
| ( r2_hidden @ ( sK42_SY840 @ SV332 @ SV239 @ SV129 ) @ SV332 ) ) )
= $true )
| ( ( ~ ( ~ ( r2_hidden @ ( sK42_SY840 @ SV332 @ SV239 @ SV129 ) @ SV332 )
| ( r2_hidden @ ( sK42_SY840 @ SV332 @ SV239 @ SV129 ) @ SV239 ) ) )
= $true )
| ( ( SV239 = SV332 )
= $true )
| ( ( m1_subset_1 @ SV332 @ ( k1_zfmisc_1 @ SV129 ) )
= $false )
| ( ( m1_subset_1 @ SV239 @ ( k1_zfmisc_1 @ SV129 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[8301]) ).
thf(8384,plain,
! [SV242: $i,SV133: $i] :
( ( ( ! [SY758: $i] :
~ ~ ( ~ ( r2_hidden @ SY758 @ SV133 )
| ~ ( ( SY758 != SV242 ) ) ) )
= $false )
| ( ( SV133
= ( k1_tarski @ SV242 ) )
= $true )
| ( ( SV133 = k1_xboole_0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8302]) ).
thf(8385,plain,
! [SV299: $i,SV134: $i,SV243: $i] :
( ( ( ~ ( v1_xboole_0 @ SV243 ) )
= $false )
| ( ( v1_xboole_0 @ SV134 )
= $true )
| ( ( ~ ~ ( v1_xboole_0 @ SV299 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k3_zfmisc_1 @ SV134 @ SV243 @ SV299 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8303]) ).
thf(8386,plain,
! [SV135: $i,SV244: $i] :
( ( ( r2_hidden @ ( sK19_SY760 @ SV244 @ SV135 ) @ SV244 )
= $true )
| ( ( r2_hidden @ ( sK19_SY760 @ SV244 @ SV135 ) @ SV135 )
= $true )
| ( ( SV135 = SV244 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8304]) ).
thf(8387,plain,
! [SV136: $i,SV245: $i,SV333: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK43_SY841 @ SV333 @ SV245 @ SV136 ) @ SV245 )
| ( r2_hidden @ ( sK43_SY841 @ SV333 @ SV245 @ SV136 ) @ SV333 ) ) )
= $true )
| ( ( ~ ( ~ ( r2_hidden @ ( sK43_SY841 @ SV333 @ SV245 @ SV136 ) @ SV333 )
| ( r2_hidden @ ( sK43_SY841 @ SV333 @ SV245 @ SV136 ) @ SV245 ) ) )
= $true )
| ( ( SV245 = SV333 )
= $true )
| ( ( m1_subset_1 @ SV333 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV136 ) ) )
= $false )
| ( ( m1_subset_1 @ SV245 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV136 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[8308]) ).
thf(8388,plain,
! [SV248: $i,SV139: $i,SV357: $i] :
( ( ( ~ ( r2_hidden @ SV357 @ SV139 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k1_funct_1 @ SV248 @ SV357 ) ) )
= $true )
| ( ( v2_relat_1 @ SV248 )
= $false )
| ( ( m1_pboole @ SV248 @ SV139 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[8310]) ).
thf(8389,plain,
! [SV139: $i,SV248: $i] :
( ( ( ~ ( r2_hidden @ ( sK44_SY765 @ SV248 @ SV139 ) @ SV139 ) )
= $false )
| ( ( v2_relat_1 @ SV248 )
= $true )
| ( ( m1_pboole @ SV248 @ SV139 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8311]) ).
thf(8390,plain,
! [SV139: $i,SV248: $i] :
( ( ( ~ ( v1_xboole_0 @ ( k1_funct_1 @ SV248 @ ( sK44_SY765 @ SV248 @ SV139 ) ) ) )
= $false )
| ( ( v2_relat_1 @ SV248 )
= $true )
| ( ( m1_pboole @ SV248 @ SV139 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8311]) ).
thf(8391,plain,
! [SV249: $i,SV140: $i,SV301: $i,SV353: $i] :
( ( ( ~ ( r2_hidden @ SV353 @ SV301 ) )
= $true )
| ( ( ( SV353 = SV140 )
| ( SV353 = SV249 ) )
= $true )
| ( ( SV301
= ( k2_tarski @ SV140 @ SV249 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[8312]) ).
thf(8392,plain,
! [SV301: $i,SV249: $i,SV140: $i,SV353: $i] :
( ( ( ~ ( ( SV353 = SV140 )
| ( SV353 = SV249 ) ) )
= $true )
| ( ( r2_hidden @ SV353 @ SV301 )
= $true )
| ( ( SV301
= ( k2_tarski @ SV140 @ SV249 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[8313]) ).
thf(8393,plain,
! [SV301: $i,SV140: $i,SV249: $i] :
( ( ( ~ ( r2_hidden @ ( sK40_SY821 @ SV249 @ SV140 @ SV301 ) @ SV301 ) )
= $false )
| ( ( ~ ( ~ ( ( ( sK40_SY821 @ SV249 @ SV140 @ SV301 )
= SV140 )
| ( ( sK40_SY821 @ SV249 @ SV140 @ SV301 )
= SV249 ) )
| ( r2_hidden @ ( sK40_SY821 @ SV249 @ SV140 @ SV301 ) @ SV301 ) ) )
= $true )
| ( ( SV301
= ( k2_tarski @ SV140 @ SV249 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8314]) ).
thf(8394,plain,
! [SV301: $i,SV140: $i,SV249: $i] :
( ( ( ( ( sK40_SY821 @ SV249 @ SV140 @ SV301 )
= SV140 )
| ( ( sK40_SY821 @ SV249 @ SV140 @ SV301 )
= SV249 ) )
= $false )
| ( ( ~ ( ~ ( ( ( sK40_SY821 @ SV249 @ SV140 @ SV301 )
= SV140 )
| ( ( sK40_SY821 @ SV249 @ SV140 @ SV301 )
= SV249 ) )
| ( r2_hidden @ ( sK40_SY821 @ SV249 @ SV140 @ SV301 ) @ SV301 ) ) )
= $true )
| ( ( SV301
= ( k2_tarski @ SV140 @ SV249 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8314]) ).
thf(8395,plain,
! [SV302: $i,SV250: $i,SV141: $i] :
( ( ( ~ ( r2_hidden @ SV141 @ SV250 ) )
= $false )
| ( ( ~ ( ~ ( r2_hidden @ SV141 @ SV302 )
| ( r2_hidden @ SV141 @ SV250 ) ) )
= $true )
| ( ( r2_hidden @ SV141 @ ( k5_xboole_0 @ SV250 @ SV302 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8315]) ).
thf(8396,plain,
! [SV250: $i,SV302: $i,SV141: $i] :
( ( ( r2_hidden @ SV141 @ SV302 )
= $false )
| ( ( ~ ( ~ ( r2_hidden @ SV141 @ SV302 )
| ( r2_hidden @ SV141 @ SV250 ) ) )
= $true )
| ( ( r2_hidden @ SV141 @ ( k5_xboole_0 @ SV250 @ SV302 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8315]) ).
thf(8397,plain,
! [SV302: $i,SV250: $i,SV141: $i] :
( ( ( ~ ( r2_hidden @ SV141 @ SV250 ) )
= $true )
| ( ( r2_hidden @ SV141 @ SV302 )
= $true )
| ( ( r2_hidden @ SV141 @ ( k5_xboole_0 @ SV250 @ SV302 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[8316]) ).
thf(8398,plain,
! [SV250: $i,SV302: $i,SV141: $i] :
( ( ( ~ ( r2_hidden @ SV141 @ SV302 ) )
= $true )
| ( ( r2_hidden @ SV141 @ SV250 )
= $true )
| ( ( r2_hidden @ SV141 @ ( k5_xboole_0 @ SV250 @ SV302 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[8317]) ).
thf(8399,plain,
! [SV347: $i,SV334: $i,SV253: $i,SV144: $i] :
( ( ( ~ ( r7_pboole @ SV144 @ SV253 @ SV334 )
| ~ ( r7_pboole @ SV144 @ SV334 @ SV347 ) )
= $true )
| ( ( r7_pboole @ SV144 @ SV253 @ SV347 )
= $true )
| ( ( m1_pboole @ SV347 @ SV144 )
= $false )
| ( ( m1_pboole @ SV334 @ SV144 )
= $false )
| ( ( m1_pboole @ SV253 @ SV144 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8318]) ).
thf(8400,plain,
! [SV304: $i,SV254: $i,SV145: $i] :
( ( ( ~ ( r6_pboole @ SV145 @ SV254 @ SV304 ) )
= $true )
| ( ( SV254 = SV304 )
= $true )
| ( ( m1_pboole @ SV254 @ SV145 )
= $false )
| ( ( m1_pboole @ SV304 @ SV145 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[8319]) ).
thf(8401,plain,
! [SV145: $i,SV304: $i,SV254: $i] :
( ( ( SV254 != SV304 )
= $true )
| ( ( r6_pboole @ SV145 @ SV254 @ SV304 )
= $true )
| ( ( m1_pboole @ SV254 @ SV145 )
= $false )
| ( ( m1_pboole @ SV304 @ SV145 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[8320]) ).
thf(8402,plain,
! [SV148: $i,SV256: $i] :
( ( ( SV256
= ( k1_setfam_1 @ SV148 ) )
= $false )
| ( ( ! [SY774: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY774 @ SV256 )
| ! [SY630: $i] :
( ~ ( r2_hidden @ SY630 @ SV148 )
| ( r2_hidden @ SY774 @ SY630 ) ) )
| ~ ( ~ ! [SY631: $i] :
( ~ ( r2_hidden @ SY631 @ SV148 )
| ( r2_hidden @ SY774 @ SY631 ) )
| ( r2_hidden @ SY774 @ SV256 ) ) ) )
= $true )
| ( ( SV148 = k1_xboole_0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8321]) ).
thf(8403,plain,
! [SV148: $i,SV256: $i] :
( ( ( ! [SY777: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY777 @ SV256 )
| ! [SY633: $i] :
( ~ ( r2_hidden @ SY633 @ SV148 )
| ( r2_hidden @ SY777 @ SY633 ) ) )
| ~ ( ~ ! [SY634: $i] :
( ~ ( r2_hidden @ SY634 @ SV148 )
| ( r2_hidden @ SY777 @ SY634 ) )
| ( r2_hidden @ SY777 @ SV256 ) ) ) )
= $false )
| ( ( SV256
= ( k1_setfam_1 @ SV148 ) )
= $true )
| ( ( SV148 = k1_xboole_0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8322]) ).
thf(8404,plain,
! [SV149: $i,SV257: $i,SV348: $i] :
( ( ( r2_hidden @ SV348 @ SV257 )
= $false )
| ( ( SV348 = SV149 )
= $true )
| ( ( SV257
= ( k1_tarski @ SV149 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8325]) ).
thf(8405,plain,
! [SV257: $i,SV149: $i,SV348: $i] :
( ( ( SV348 = SV149 )
= $false )
| ( ( r2_hidden @ SV348 @ SV257 )
= $true )
| ( ( SV257
= ( k1_tarski @ SV149 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8326]) ).
thf(8406,plain,
! [SV257: $i,SV149: $i] :
( ( ( r2_hidden @ ( sK35_SY781 @ SV149 @ SV257 ) @ SV257 )
= $true )
| ( ( ~ ( ( ( sK35_SY781 @ SV149 @ SV257 )
!= SV149 )
| ( r2_hidden @ ( sK35_SY781 @ SV149 @ SV257 ) @ SV257 ) ) )
= $true )
| ( ( SV257
= ( k1_tarski @ SV149 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8327]) ).
thf(8407,plain,
! [SV257: $i,SV149: $i] :
( ( ( ( ( sK35_SY781 @ SV149 @ SV257 )
!= SV149 )
| ( r2_hidden @ ( sK35_SY781 @ SV149 @ SV257 ) @ SV257 ) )
= $false )
| ( ( ( sK35_SY781 @ SV149 @ SV257 )
= SV149 )
= $false )
| ( ( SV257
= ( k1_tarski @ SV149 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8328]) ).
thf(8408,plain,
! [SV150: $i,SV258: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK52_SY782 @ SV258 @ SV150 ) @ SV150 )
| ~ ( r2_hidden @ ( sK52_SY782 @ SV258 @ SV150 ) @ SV258 ) ) )
= $true )
| ( ( r1_xboole_0 @ SV150 @ SV258 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8329]) ).
thf(8409,plain,
! [SV258: $i,SV150: $i,SV359: $i] :
( ( ( ~ ( r2_hidden @ SV359 @ SV150 )
| ~ ( r2_hidden @ SV359 @ SV258 ) )
= $true )
| ( ( ~ ( r1_xboole_0 @ SV150 @ SV258 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8330]) ).
thf(8410,plain,
! [SV151: $i,SV259: $i,SV349: $i] :
( ( ( r2_hidden @ SV349 @ SV259 )
= $false )
| ( ( ~ ! [SY847: $i] :
~ ~ ( ~ ( r2_hidden @ SV349 @ SY847 )
| ~ ( r2_hidden @ SY847 @ SV151 ) ) )
= $true )
| ( ( SV259
= ( k3_tarski @ SV151 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8331]) ).
thf(8411,plain,
! [SV259: $i,SV151: $i,SV349: $i] :
( ( ( ~ ! [SY848: $i] :
~ ~ ( ~ ( r2_hidden @ SV349 @ SY848 )
| ~ ( r2_hidden @ SY848 @ SV151 ) ) )
= $false )
| ( ( r2_hidden @ SV349 @ SV259 )
= $true )
| ( ( SV259
= ( k3_tarski @ SV151 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8332]) ).
thf(8412,plain,
! [SV259: $i,SV151: $i] :
( ( ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SV259 )
= $true )
| ( ( ~ ( ~ ~ ! [SY850: $i] :
~ ~ ( ~ ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SY850 )
| ~ ( r2_hidden @ SY850 @ SV151 ) )
| ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SV259 ) ) )
= $true )
| ( ( SV259
= ( k3_tarski @ SV151 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8333]) ).
thf(8413,plain,
! [SV259: $i,SV151: $i] :
( ( ( ! [SY849: $i] :
~ ~ ( ~ ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SY849 )
| ~ ( r2_hidden @ SY849 @ SV151 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY850: $i] :
~ ~ ( ~ ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SY850 )
| ~ ( r2_hidden @ SY850 @ SV151 ) )
| ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SV259 ) ) )
= $true )
| ( ( SV259
= ( k3_tarski @ SV151 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8334]) ).
thf(8414,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ~ ( ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) )
| ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) ) )
| ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV163 ) )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV163 )
= $false )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8337]) ).
thf(8415,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) )
= $false )
| ( ( ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) )
| ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) ) )
| ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV163 ) ) )
= $true )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8338]) ).
thf(8416,plain,
! [SV318: $i,SV310: $i,SV267: $i,SV166: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ SV166 )
| ~ ~ ( v1_xboole_0 @ SV267 ) )
= $true )
| ( ( ~ ~ ( v1_xboole_0 @ SV310 ) )
= $true )
| ( ( ~ ~ ( v1_xboole_0 @ SV318 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k4_zfmisc_1 @ SV166 @ SV267 @ SV310 @ SV318 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8339]) ).
thf(8417,plain,
! [SV180: $i,SV43: $i,SV270: $i,SV350: $i] :
( ( ( r2_hidden @ SV350 @ SV270 )
= $false )
| ( ( ~ ( ~ ( r2_hidden @ SV350 @ SV43 )
| ~ ( r2_hidden @ SV350 @ SV180 ) ) )
= $true )
| ( ( SV270
= ( k3_xboole_0 @ SV43 @ SV180 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8342]) ).
thf(8418,plain,
! [SV270: $i,SV180: $i,SV43: $i,SV350: $i] :
( ( ( ~ ( ~ ( r2_hidden @ SV350 @ SV43 )
| ~ ( r2_hidden @ SV350 @ SV180 ) ) )
= $false )
| ( ( r2_hidden @ SV350 @ SV270 )
= $true )
| ( ( SV270
= ( k3_xboole_0 @ SV43 @ SV180 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8343]) ).
thf(8419,plain,
! [SV270: $i,SV43: $i,SV180: $i] :
( ( ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV270 )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV43 )
| ~ ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV180 ) )
| ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV270 ) ) )
= $true )
| ( ( SV270
= ( k3_xboole_0 @ SV43 @ SV180 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8344]) ).
thf(8420,plain,
! [SV270: $i,SV43: $i,SV180: $i] :
( ( ( ~ ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV43 )
| ~ ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV180 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV43 )
| ~ ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV180 ) )
| ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV270 ) ) )
= $true )
| ( ( SV270
= ( k3_xboole_0 @ SV43 @ SV180 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8345]) ).
thf(8421,plain,
! [SV341: $i,SV49: $i,SV338: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ SV338 @ SV49 )
| ~ ( r2_hidden @ SV341 @ SV49 ) )
| ~ ~ ( r2_hidden @ SV338 @ SV341 ) ) )
= $true )
| ( ( ~ ( ( SV338 != SV341 ) ) )
= $true )
| ( ( ~ ~ ( r2_hidden @ SV341 @ SV338 ) )
= $true )
| ( ( v2_ordinal1 @ SV49 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[8346]) ).
thf(8422,plain,
! [SV49: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ ( sK26_SY444 @ SV49 ) @ SV49 )
| ~ ( r2_hidden @ ( sK31_SY844 @ SV49 ) @ SV49 ) )
| ~ ~ ( r2_hidden @ ( sK26_SY444 @ SV49 ) @ ( sK31_SY844 @ SV49 ) ) ) )
= $false )
| ( ( v2_ordinal1 @ SV49 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8347]) ).
thf(8423,plain,
! [SV49: $i] :
( ( ( ~ ( ( ( sK26_SY444 @ SV49 )
!= ( sK31_SY844 @ SV49 ) ) ) )
= $false )
| ( ( v2_ordinal1 @ SV49 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8347]) ).
thf(8424,plain,
! [SV312: $i,SV273: $i,SV184: $i,SV50: $i] :
( ( ( r2_hidden @ SV50 @ SV184 )
= $false )
| ( ( ~ ( r2_hidden @ SV184 @ SV273 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV273 @ SV312 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV312 @ SV50 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8349]) ).
thf(8425,plain,
! [SV57: $i,SV187: $i] :
( ( ( ~ ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
| ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 ) )
= $false )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $true )
| ( ( ~ ! [SY690: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY690 @ SV187 )
| ( p1_s3_xboole_0 @ SY690 ) )
| ~ ( ~ ( p1_s3_xboole_0 @ SY690 )
| ( r2_hidden @ SY690 @ SV187 ) ) ) )
= $true )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8350]) ).
thf(8426,plain,
! [SV57: $i,SV187: $i] :
( ( ( ~ ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) ) )
= $false )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $false )
| ( ( ~ ! [SY690: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY690 @ SV187 )
| ( p1_s3_xboole_0 @ SY690 ) )
| ~ ( ~ ( p1_s3_xboole_0 @ SY690 )
| ( r2_hidden @ SY690 @ SV187 ) ) ) )
= $true )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8351]) ).
thf(8427,plain,
! [SV57: $i,SV187: $i] :
( ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $false )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $false )
| ( ( ~ ! [SY690: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY690 @ SV187 )
| ( p1_s3_xboole_0 @ SY690 ) )
| ~ ( ~ ( p1_s3_xboole_0 @ SY690 )
| ( r2_hidden @ SY690 @ SV187 ) ) ) )
= $true )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8351]) ).
thf(8428,plain,
! [SV275: $i,SV189: $i,SV61: $i] :
( ( ( ~ ( v1_xboole_0 @ SV61 ) )
= $false )
| ( ( ~ ( v2_relat_1 @ SV189 ) )
= $true )
| ( ( ~ ( m1_pboole @ SV189 @ SV61 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV275 @ SV61 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k1_funct_1 @ SV189 @ SV275 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8354]) ).
thf(8429,plain,
! [SV313: $i,SV64: $i] :
( ( ( r2_hidden @ SV64 @ SV313 )
= $true )
| ( ( ~ ( ( SV64 != SV313 ) ) )
= $true )
| ( ( ~ ~ ( r2_hidden @ SV313 @ SV64 ) )
= $true )
| ( ( v3_ordinal1 @ SV313 )
= $false )
| ( ( v3_ordinal1 @ SV64 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8355]) ).
thf(8430,plain,
! [SV277: $i,SV192: $i,SV65: $i] :
( ( ( ~ ( r2_hidden @ SV65 @ ( a_2_0_closure3 @ SV192 @ SV277 ) ) )
= $true )
| ( ( ~ ! [SY807: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY807 @ SV192 )
| ( SV65 != SY807 ) )
| ~ ( ( ( k1_funct_1 @ SV277 @ SY807 )
!= k1_xboole_0 ) ) ) )
= $true )
| ( ( v1_xboole_0 @ SV192 )
= $true )
| ( ( m1_pboole @ SV277 @ SV192 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[8356]) ).
thf(8431,plain,
! [SV277: $i,SV65: $i,SV192: $i] :
( ( ( ~ ~ ! [SY808: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY808 @ SV192 )
| ( SV65 != SY808 ) )
| ~ ( ( ( k1_funct_1 @ SV277 @ SY808 )
!= k1_xboole_0 ) ) ) )
= $true )
| ( ( r2_hidden @ SV65 @ ( a_2_0_closure3 @ SV192 @ SV277 ) )
= $true )
| ( ( v1_xboole_0 @ SV192 )
= $true )
| ( ( m1_pboole @ SV277 @ SV192 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[8357]) ).
thf(8432,plain,
! [SV73: $i,SV198: $i] :
( ( ( ~ ( r2_hidden @ ( sK46_SY482 @ SV198 @ SV73 ) @ SV73 ) )
= $false )
| ( ( ~ ! [SY704: $i] :
~ ~ ( ~ ( r2_hidden @ SY704 @ SV198 )
| ~ ! [SX3: $i,SX4: $i] :
( SY704
!= ( k4_tarski @ SX3 @ SX4 ) ) ) )
= $true )
| ( ( ~ ! [SY707: $i,SY708: $i] :
~ ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 ) )
| ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 ) ) ) )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8358]) ).
thf(8433,plain,
! [SV73: $i,SV198: $i] :
( ( ( ~ ! [SY852: $i,SY853: $i] :
( ( sK46_SY482 @ SV198 @ SV73 )
!= ( k4_tarski @ SY852 @ SY853 ) ) )
= $false )
| ( ( ~ ! [SY704: $i] :
~ ~ ( ~ ( r2_hidden @ SY704 @ SV198 )
| ~ ! [SX3: $i,SX4: $i] :
( SY704
!= ( k4_tarski @ SX3 @ SX4 ) ) ) )
= $true )
| ( ( ~ ! [SY707: $i,SY708: $i] :
~ ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 ) )
| ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 ) ) ) )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8358]) ).
thf(8434,plain,
! [SV323: $i,SV200: $i,SV76: $i,SV360: $i] :
( ( ( ~ ( r2_hidden @ SV360 @ SV76 ) )
= $true )
| ( ( r2_hidden @ ( k1_funct_1 @ SV200 @ SV360 ) @ ( k1_funct_1 @ SV323 @ SV360 ) )
= $true )
| ( ( r1_pboole @ SV76 @ SV200 @ SV323 )
= $false )
| ( ( m1_pboole @ SV323 @ SV76 )
= $false )
| ( ( m1_pboole @ SV200 @ SV76 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[8359]) ).
thf(8435,plain,
! [SV76: $i,SV200: $i,SV323: $i] :
( ( ( ~ ( r2_hidden @ ( sK53_SY831 @ SV323 @ SV200 @ SV76 ) @ SV76 ) )
= $false )
| ( ( r1_pboole @ SV76 @ SV200 @ SV323 )
= $true )
| ( ( m1_pboole @ SV323 @ SV76 )
= $false )
| ( ( m1_pboole @ SV200 @ SV76 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8360]) ).
thf(8436,plain,
! [SV76: $i,SV323: $i,SV200: $i] :
( ( ( r2_hidden @ ( k1_funct_1 @ SV200 @ ( sK53_SY831 @ SV323 @ SV200 @ SV76 ) ) @ ( k1_funct_1 @ SV323 @ ( sK53_SY831 @ SV323 @ SV200 @ SV76 ) ) )
= $false )
| ( ( r1_pboole @ SV76 @ SV200 @ SV323 )
= $true )
| ( ( m1_pboole @ SV323 @ SV76 )
= $false )
| ( ( m1_pboole @ SV200 @ SV76 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8360]) ).
thf(8437,plain,
! [SV324: $i,SV315: $i,SV284: $i,SV204: $i,SV80: $i] :
( ( ( ~ ~ ( ~ ( r2_hidden @ SV80 @ SV204 )
| ~ ( r2_hidden @ SV204 @ SV284 ) ) )
= $true )
| ( ( ~ ( r2_hidden @ SV284 @ SV315 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV315 @ SV324 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV324 @ SV80 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[8361]) ).
thf(8438,plain,
! [SV206: $i,SV82: $i,SV286: $i,SV351: $i] :
( ( ( r2_hidden @ SV351 @ SV286 )
= $false )
| ( ( ( r2_hidden @ SV351 @ SV82 )
| ( r2_hidden @ SV351 @ SV206 ) )
= $true )
| ( ( SV286
= ( k2_xboole_0 @ SV82 @ SV206 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8362]) ).
thf(8439,plain,
! [SV286: $i,SV206: $i,SV82: $i,SV351: $i] :
( ( ( ( r2_hidden @ SV351 @ SV82 )
| ( r2_hidden @ SV351 @ SV206 ) )
= $false )
| ( ( r2_hidden @ SV351 @ SV286 )
= $true )
| ( ( SV286
= ( k2_xboole_0 @ SV82 @ SV206 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8363]) ).
thf(8440,plain,
! [SV286: $i,SV82: $i,SV206: $i] :
( ( ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV286 )
= $true )
| ( ( ~ ( ~ ( ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV82 )
| ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV206 ) )
| ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV286 ) ) )
= $true )
| ( ( SV286
= ( k2_xboole_0 @ SV82 @ SV206 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8364]) ).
thf(8441,plain,
! [SV286: $i,SV82: $i,SV206: $i] :
( ( ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV82 )
= $false )
| ( ( ~ ( ~ ( ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV82 )
| ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV206 ) )
| ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV286 ) ) )
= $true )
| ( ( SV286
= ( k2_xboole_0 @ SV82 @ SV206 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8365]) ).
thf(8442,plain,
! [SV286: $i,SV82: $i,SV206: $i] :
( ( ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV206 )
= $false )
| ( ( ~ ( ~ ( ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV82 )
| ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV206 ) )
| ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV286 ) ) )
= $true )
| ( ( SV286
= ( k2_xboole_0 @ SV82 @ SV206 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8365]) ).
thf(8443,plain,
! [SV337: $i,SV325: $i,SV316: $i,SV287: $i,SV207: $i,SV84: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ SV84 @ SV207 )
| ~ ( r2_hidden @ SV207 @ SV287 ) )
| ~ ( r2_hidden @ SV287 @ SV316 ) )
| ~ ( r2_hidden @ SV316 @ SV325 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV325 @ SV337 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV337 @ SV84 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8366]) ).
thf(8444,plain,
! [SV93: $i] :
( ( ( ~ ~ ( ~ ( r2_hidden @ ( sK47_SY530 @ SV93 ) @ SV93 )
| ~ ( r2_hidden @ ( sK50_SY854 @ SV93 ) @ SV93 ) )
| ~ ( ( ( sK47_SY530 @ SV93 )
!= ( sK50_SY854 @ SV93 ) ) ) )
= $false )
| ( ( v1_realset1 @ SV93 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8369]) ).
thf(8445,plain,
! [SV361: $i,SV93: $i,SV356: $i] :
( ( ( ~ ( ~ ~ ( ~ ( r2_hidden @ SV356 @ SV93 )
| ~ ( r2_hidden @ SV361 @ SV93 ) )
| ~ ( ( SV356 != SV361 ) ) ) )
= $false )
| ( ( ~ ( v1_realset1 @ SV93 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8370]) ).
thf(8446,plain,
! [SV103: $i,SV221: $i,SV362: $i] :
( ( ( ~ ( ~ ( r2_hidden @ SV362 @ SV221 )
| ~ ( r2_hidden @ SV362 @ ( sK33_SY736 @ SV103 @ SV221 ) ) ) )
= $false )
| ( ( r2_hidden @ SV103 @ SV221 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8371]) ).
thf(8447,plain,
! [SV222: $i,SV104: $i,SV293: $i,SV352: $i] :
( ( ( r2_hidden @ SV352 @ SV293 )
= $false )
| ( ( ~ ( ~ ( r2_hidden @ SV352 @ SV104 )
| ~ ~ ( r2_hidden @ SV352 @ SV222 ) ) )
= $true )
| ( ( SV293
= ( k4_xboole_0 @ SV104 @ SV222 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8372]) ).
thf(8448,plain,
! [SV293: $i,SV222: $i,SV104: $i,SV352: $i] :
( ( ( ~ ( ~ ( r2_hidden @ SV352 @ SV104 )
| ~ ~ ( r2_hidden @ SV352 @ SV222 ) ) )
= $false )
| ( ( r2_hidden @ SV352 @ SV293 )
= $true )
| ( ( SV293
= ( k4_xboole_0 @ SV104 @ SV222 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8373]) ).
thf(8449,plain,
! [SV293: $i,SV104: $i,SV222: $i] :
( ( ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV293 )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV104 )
| ~ ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV222 ) )
| ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV293 ) ) )
= $true )
| ( ( SV293
= ( k4_xboole_0 @ SV104 @ SV222 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8374]) ).
thf(8450,plain,
! [SV293: $i,SV104: $i,SV222: $i] :
( ( ( ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV104 )
| ~ ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV222 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV104 )
| ~ ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV222 ) )
| ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV293 ) ) )
= $true )
| ( ( SV293
= ( k4_xboole_0 @ SV104 @ SV222 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8375]) ).
thf(8451,plain,
! [SV228: $i,SV110: $i,SV296: $i] :
( ( ( m1_pboole @ SV296 @ SV110 )
= $false )
| ( ( v1_xboole_0 @ SV110 )
= $true )
| ( ( m1_pboole @ SV228 @ SV110 )
= $false )
| ( ( ~ ( r3_pboole @ SV110 @ SV228 @ SV296 )
| ~ ( r3_pboole @ SV110 @ SV296 @ SV228 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8376]) ).
thf(8452,plain,
! [SV231: $i,SV328: $i,SV116: $i,SV363: $i] :
( ( ( ~ ( r2_hidden @ SV363 @ SV116 ) )
= $true )
| ( ( m1_subset_1 @ ( k1_funct_1 @ SV328 @ SV363 ) @ ( k1_funct_1 @ SV231 @ SV363 ) )
= $true )
| ( ( m2_pboole @ SV328 @ SV116 @ SV231 )
= $false )
| ( ( m1_pboole @ SV328 @ SV116 )
= $false )
| ( ( m1_pboole @ SV231 @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[8379]) ).
thf(8453,plain,
! [SV116: $i,SV328: $i,SV231: $i] :
( ( ( ~ ( r2_hidden @ ( sK54_SY835 @ SV231 @ SV328 @ SV116 ) @ SV116 ) )
= $false )
| ( ( m2_pboole @ SV328 @ SV116 @ SV231 )
= $true )
| ( ( m1_pboole @ SV328 @ SV116 )
= $false )
| ( ( m1_pboole @ SV231 @ SV116 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8380]) ).
thf(8454,plain,
! [SV116: $i,SV231: $i,SV328: $i] :
( ( ( m1_subset_1 @ ( k1_funct_1 @ SV328 @ ( sK54_SY835 @ SV231 @ SV328 @ SV116 ) ) @ ( k1_funct_1 @ SV231 @ ( sK54_SY835 @ SV231 @ SV328 @ SV116 ) ) )
= $false )
| ( ( m2_pboole @ SV328 @ SV116 @ SV231 )
= $true )
| ( ( m1_pboole @ SV328 @ SV116 )
= $false )
| ( ( m1_pboole @ SV231 @ SV116 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8380]) ).
thf(8455,plain,
! [SV343: $i,SV329: $i,SV232: $i,SV117: $i] :
( ( ( ~ ( r2_pboole @ SV117 @ SV232 @ SV329 ) )
= $true )
| ( ( ~ ( r2_pboole @ SV117 @ SV329 @ SV343 ) )
= $true )
| ( ( r2_pboole @ SV117 @ SV232 @ SV343 )
= $true )
| ( ( m1_pboole @ SV343 @ SV117 )
= $false )
| ( ( m1_pboole @ SV329 @ SV117 )
= $false )
| ( ( m1_pboole @ SV232 @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[8381]) ).
thf(8456,plain,
! [SV122: $i,SV346: $i,SV331: $i] :
( ( ( ~ ( r2_hidden @ ( sK51_SY846 @ SV331 @ SV346 @ SV122 ) @ SV122 )
| ( SV346
!= ( k1_funct_1 @ SV331 @ ( sK51_SY846 @ SV331 @ SV346 @ SV122 ) ) ) )
= $false )
| ( ( m1_subset_1 @ SV346 @ ( k2_relat_1 @ SV331 ) )
= $false )
| ( ( m1_pboole @ SV331 @ SV122 )
= $false )
| ( ( v1_xboole_0 @ SV122 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8382]) ).
thf(8457,plain,
! [SV129: $i,SV239: $i,SV332: $i] :
( ( ( ~ ( r2_hidden @ ( sK42_SY840 @ SV332 @ SV239 @ SV129 ) @ SV239 )
| ( r2_hidden @ ( sK42_SY840 @ SV332 @ SV239 @ SV129 ) @ SV332 ) )
= $false )
| ( ( ~ ( ~ ( r2_hidden @ ( sK42_SY840 @ SV332 @ SV239 @ SV129 ) @ SV332 )
| ( r2_hidden @ ( sK42_SY840 @ SV332 @ SV239 @ SV129 ) @ SV239 ) ) )
= $true )
| ( ( SV239 = SV332 )
= $true )
| ( ( m1_subset_1 @ SV332 @ ( k1_zfmisc_1 @ SV129 ) )
= $false )
| ( ( m1_subset_1 @ SV239 @ ( k1_zfmisc_1 @ SV129 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8383]) ).
thf(8458,plain,
! [SV133: $i,SV242: $i] :
( ( ( ~ ~ ( ~ ( r2_hidden @ ( sK55_SY758 @ SV242 @ SV133 ) @ SV133 )
| ~ ( ( ( sK55_SY758 @ SV242 @ SV133 )
!= SV242 ) ) ) )
= $false )
| ( ( SV133
= ( k1_tarski @ SV242 ) )
= $true )
| ( ( SV133 = k1_xboole_0 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[8384]) ).
thf(8459,plain,
! [SV299: $i,SV134: $i,SV243: $i] :
( ( ( v1_xboole_0 @ SV243 )
= $true )
| ( ( v1_xboole_0 @ SV134 )
= $true )
| ( ( ~ ~ ( v1_xboole_0 @ SV299 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k3_zfmisc_1 @ SV134 @ SV243 @ SV299 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8385]) ).
thf(8460,plain,
! [SV136: $i,SV245: $i,SV333: $i] :
( ( ( ~ ( r2_hidden @ ( sK43_SY841 @ SV333 @ SV245 @ SV136 ) @ SV245 )
| ( r2_hidden @ ( sK43_SY841 @ SV333 @ SV245 @ SV136 ) @ SV333 ) )
= $false )
| ( ( ~ ( ~ ( r2_hidden @ ( sK43_SY841 @ SV333 @ SV245 @ SV136 ) @ SV333 )
| ( r2_hidden @ ( sK43_SY841 @ SV333 @ SV245 @ SV136 ) @ SV245 ) ) )
= $true )
| ( ( SV245 = SV333 )
= $true )
| ( ( m1_subset_1 @ SV333 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV136 ) ) )
= $false )
| ( ( m1_subset_1 @ SV245 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV136 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8387]) ).
thf(8461,plain,
! [SV248: $i,SV139: $i,SV357: $i] :
( ( ( r2_hidden @ SV357 @ SV139 )
= $false )
| ( ( ~ ( v1_xboole_0 @ ( k1_funct_1 @ SV248 @ SV357 ) ) )
= $true )
| ( ( v2_relat_1 @ SV248 )
= $false )
| ( ( m1_pboole @ SV248 @ SV139 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8388]) ).
thf(8462,plain,
! [SV139: $i,SV248: $i] :
( ( ( r2_hidden @ ( sK44_SY765 @ SV248 @ SV139 ) @ SV139 )
= $true )
| ( ( v2_relat_1 @ SV248 )
= $true )
| ( ( m1_pboole @ SV248 @ SV139 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8389]) ).
thf(8463,plain,
! [SV139: $i,SV248: $i] :
( ( ( v1_xboole_0 @ ( k1_funct_1 @ SV248 @ ( sK44_SY765 @ SV248 @ SV139 ) ) )
= $true )
| ( ( v2_relat_1 @ SV248 )
= $true )
| ( ( m1_pboole @ SV248 @ SV139 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8390]) ).
thf(8464,plain,
! [SV249: $i,SV140: $i,SV301: $i,SV353: $i] :
( ( ( r2_hidden @ SV353 @ SV301 )
= $false )
| ( ( ( SV353 = SV140 )
| ( SV353 = SV249 ) )
= $true )
| ( ( SV301
= ( k2_tarski @ SV140 @ SV249 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8391]) ).
thf(8465,plain,
! [SV301: $i,SV249: $i,SV140: $i,SV353: $i] :
( ( ( ( SV353 = SV140 )
| ( SV353 = SV249 ) )
= $false )
| ( ( r2_hidden @ SV353 @ SV301 )
= $true )
| ( ( SV301
= ( k2_tarski @ SV140 @ SV249 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8392]) ).
thf(8466,plain,
! [SV301: $i,SV140: $i,SV249: $i] :
( ( ( r2_hidden @ ( sK40_SY821 @ SV249 @ SV140 @ SV301 ) @ SV301 )
= $true )
| ( ( ~ ( ~ ( ( ( sK40_SY821 @ SV249 @ SV140 @ SV301 )
= SV140 )
| ( ( sK40_SY821 @ SV249 @ SV140 @ SV301 )
= SV249 ) )
| ( r2_hidden @ ( sK40_SY821 @ SV249 @ SV140 @ SV301 ) @ SV301 ) ) )
= $true )
| ( ( SV301
= ( k2_tarski @ SV140 @ SV249 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8393]) ).
thf(8467,plain,
! [SV301: $i,SV140: $i,SV249: $i] :
( ( ( ( sK40_SY821 @ SV249 @ SV140 @ SV301 )
= SV140 )
= $false )
| ( ( ~ ( ~ ( ( ( sK40_SY821 @ SV249 @ SV140 @ SV301 )
= SV140 )
| ( ( sK40_SY821 @ SV249 @ SV140 @ SV301 )
= SV249 ) )
| ( r2_hidden @ ( sK40_SY821 @ SV249 @ SV140 @ SV301 ) @ SV301 ) ) )
= $true )
| ( ( SV301
= ( k2_tarski @ SV140 @ SV249 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8394]) ).
thf(8468,plain,
! [SV301: $i,SV140: $i,SV249: $i] :
( ( ( ( sK40_SY821 @ SV249 @ SV140 @ SV301 )
= SV249 )
= $false )
| ( ( ~ ( ~ ( ( ( sK40_SY821 @ SV249 @ SV140 @ SV301 )
= SV140 )
| ( ( sK40_SY821 @ SV249 @ SV140 @ SV301 )
= SV249 ) )
| ( r2_hidden @ ( sK40_SY821 @ SV249 @ SV140 @ SV301 ) @ SV301 ) ) )
= $true )
| ( ( SV301
= ( k2_tarski @ SV140 @ SV249 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8394]) ).
thf(8469,plain,
! [SV302: $i,SV250: $i,SV141: $i] :
( ( ( r2_hidden @ SV141 @ SV250 )
= $true )
| ( ( ~ ( ~ ( r2_hidden @ SV141 @ SV302 )
| ( r2_hidden @ SV141 @ SV250 ) ) )
= $true )
| ( ( r2_hidden @ SV141 @ ( k5_xboole_0 @ SV250 @ SV302 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8395]) ).
thf(8470,plain,
! [SV250: $i,SV302: $i,SV141: $i] :
( ( ( ~ ( r2_hidden @ SV141 @ SV302 )
| ( r2_hidden @ SV141 @ SV250 ) )
= $false )
| ( ( r2_hidden @ SV141 @ SV302 )
= $false )
| ( ( r2_hidden @ SV141 @ ( k5_xboole_0 @ SV250 @ SV302 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8396]) ).
thf(8471,plain,
! [SV302: $i,SV250: $i,SV141: $i] :
( ( ( r2_hidden @ SV141 @ SV250 )
= $false )
| ( ( r2_hidden @ SV141 @ SV302 )
= $true )
| ( ( r2_hidden @ SV141 @ ( k5_xboole_0 @ SV250 @ SV302 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8397]) ).
thf(8472,plain,
! [SV250: $i,SV302: $i,SV141: $i] :
( ( ( r2_hidden @ SV141 @ SV302 )
= $false )
| ( ( r2_hidden @ SV141 @ SV250 )
= $true )
| ( ( r2_hidden @ SV141 @ ( k5_xboole_0 @ SV250 @ SV302 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8398]) ).
thf(8473,plain,
! [SV347: $i,SV334: $i,SV253: $i,SV144: $i] :
( ( ( ~ ( r7_pboole @ SV144 @ SV253 @ SV334 ) )
= $true )
| ( ( ~ ( r7_pboole @ SV144 @ SV334 @ SV347 ) )
= $true )
| ( ( r7_pboole @ SV144 @ SV253 @ SV347 )
= $true )
| ( ( m1_pboole @ SV347 @ SV144 )
= $false )
| ( ( m1_pboole @ SV334 @ SV144 )
= $false )
| ( ( m1_pboole @ SV253 @ SV144 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[8399]) ).
thf(8474,plain,
! [SV304: $i,SV254: $i,SV145: $i] :
( ( ( r6_pboole @ SV145 @ SV254 @ SV304 )
= $false )
| ( ( SV254 = SV304 )
= $true )
| ( ( m1_pboole @ SV254 @ SV145 )
= $false )
| ( ( m1_pboole @ SV304 @ SV145 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8400]) ).
thf(8475,plain,
! [SV145: $i,SV304: $i,SV254: $i] :
( ( ( SV254 = SV304 )
= $false )
| ( ( r6_pboole @ SV145 @ SV254 @ SV304 )
= $true )
| ( ( m1_pboole @ SV254 @ SV145 )
= $false )
| ( ( m1_pboole @ SV304 @ SV145 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8401]) ).
thf(8476,plain,
! [SV148: $i,SV256: $i,SV364: $i] :
( ( ( ~ ( ~ ( ~ ( r2_hidden @ SV364 @ SV256 )
| ! [SY855: $i] :
( ~ ( r2_hidden @ SY855 @ SV148 )
| ( r2_hidden @ SV364 @ SY855 ) ) )
| ~ ( ~ ! [SY856: $i] :
( ~ ( r2_hidden @ SY856 @ SV148 )
| ( r2_hidden @ SV364 @ SY856 ) )
| ( r2_hidden @ SV364 @ SV256 ) ) ) )
= $true )
| ( ( SV256
= ( k1_setfam_1 @ SV148 ) )
= $false )
| ( ( SV148 = k1_xboole_0 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[8402]) ).
thf(8477,plain,
! [SV256: $i,SV148: $i] :
( ( ( ~ ( ~ ( ~ ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ SV256 )
| ! [SY857: $i] :
( ~ ( r2_hidden @ SY857 @ SV148 )
| ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ SY857 ) ) )
| ~ ( ~ ! [SY858: $i] :
( ~ ( r2_hidden @ SY858 @ SV148 )
| ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ SY858 ) )
| ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ SV256 ) ) ) )
= $false )
| ( ( SV256
= ( k1_setfam_1 @ SV148 ) )
= $true )
| ( ( SV148 = k1_xboole_0 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[8403]) ).
thf(8478,plain,
! [SV257: $i,SV149: $i] :
( ( ( ( ( sK35_SY781 @ SV149 @ SV257 )
!= SV149 )
| ( r2_hidden @ ( sK35_SY781 @ SV149 @ SV257 ) @ SV257 ) )
= $false )
| ( ( r2_hidden @ ( sK35_SY781 @ SV149 @ SV257 ) @ SV257 )
= $true )
| ( ( SV257
= ( k1_tarski @ SV149 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8406]) ).
thf(8479,plain,
! [SV257: $i,SV149: $i] :
( ( ( ( sK35_SY781 @ SV149 @ SV257 )
!= SV149 )
= $false )
| ( ( ( sK35_SY781 @ SV149 @ SV257 )
= SV149 )
= $false )
| ( ( SV257
= ( k1_tarski @ SV149 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8407]) ).
thf(8480,plain,
! [SV257: $i,SV149: $i] :
( ( ( r2_hidden @ ( sK35_SY781 @ SV149 @ SV257 ) @ SV257 )
= $false )
| ( ( ( sK35_SY781 @ SV149 @ SV257 )
= SV149 )
= $false )
| ( ( SV257
= ( k1_tarski @ SV149 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8407]) ).
thf(8481,plain,
! [SV150: $i,SV258: $i] :
( ( ( ~ ( r2_hidden @ ( sK52_SY782 @ SV258 @ SV150 ) @ SV150 )
| ~ ( r2_hidden @ ( sK52_SY782 @ SV258 @ SV150 ) @ SV258 ) )
= $false )
| ( ( r1_xboole_0 @ SV150 @ SV258 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8408]) ).
thf(8482,plain,
! [SV258: $i,SV150: $i,SV359: $i] :
( ( ( ~ ( r2_hidden @ SV359 @ SV150 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV359 @ SV258 ) )
= $true )
| ( ( ~ ( r1_xboole_0 @ SV150 @ SV258 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[8409]) ).
thf(8483,plain,
! [SV259: $i,SV151: $i,SV349: $i] :
( ( ( ! [SY847: $i] :
~ ~ ( ~ ( r2_hidden @ SV349 @ SY847 )
| ~ ( r2_hidden @ SY847 @ SV151 ) ) )
= $false )
| ( ( r2_hidden @ SV349 @ SV259 )
= $false )
| ( ( SV259
= ( k3_tarski @ SV151 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8410]) ).
thf(8484,plain,
! [SV259: $i,SV151: $i,SV349: $i] :
( ( ( ! [SY848: $i] :
~ ~ ( ~ ( r2_hidden @ SV349 @ SY848 )
| ~ ( r2_hidden @ SY848 @ SV151 ) ) )
= $true )
| ( ( r2_hidden @ SV349 @ SV259 )
= $true )
| ( ( SV259
= ( k3_tarski @ SV151 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8411]) ).
thf(8485,plain,
! [SV259: $i,SV151: $i] :
( ( ( ~ ~ ! [SY850: $i] :
~ ~ ( ~ ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SY850 )
| ~ ( r2_hidden @ SY850 @ SV151 ) )
| ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SV259 ) )
= $false )
| ( ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SV259 )
= $true )
| ( ( SV259
= ( k3_tarski @ SV151 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8412]) ).
thf(8486,plain,
! [SV365: $i,SV259: $i,SV151: $i] :
( ( ( ~ ~ ( ~ ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SV365 )
| ~ ( r2_hidden @ SV365 @ SV151 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY850: $i] :
~ ~ ( ~ ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SY850 )
| ~ ( r2_hidden @ SY850 @ SV151 ) )
| ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SV259 ) ) )
= $true )
| ( ( SV259
= ( k3_tarski @ SV151 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[8413]) ).
thf(8487,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ~ ( ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) )
| ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) ) ) )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV163 )
= $false )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8414]) ).
thf(8488,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV163 ) )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV163 )
= $false )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8414]) ).
thf(8489,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) )
= $false )
| ( ( ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) )
| ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) ) )
| ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV163 ) ) )
= $true )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8415]) ).
thf(8490,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $false )
| ( ( ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) )
| ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) ) )
| ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV163 ) ) )
= $true )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8415]) ).
thf(8491,plain,
! [SV318: $i,SV310: $i,SV267: $i,SV166: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ SV166 ) )
= $true )
| ( ( ~ ~ ( v1_xboole_0 @ SV267 ) )
= $true )
| ( ( ~ ~ ( v1_xboole_0 @ SV310 ) )
= $true )
| ( ( ~ ~ ( v1_xboole_0 @ SV318 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k4_zfmisc_1 @ SV166 @ SV267 @ SV310 @ SV318 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[8416]) ).
thf(8492,plain,
! [SV270: $i,SV180: $i,SV43: $i,SV350: $i] :
( ( ( ~ ( r2_hidden @ SV350 @ SV43 )
| ~ ( r2_hidden @ SV350 @ SV180 ) )
= $false )
| ( ( r2_hidden @ SV350 @ SV270 )
= $false )
| ( ( SV270
= ( k3_xboole_0 @ SV43 @ SV180 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8417]) ).
thf(8493,plain,
! [SV270: $i,SV180: $i,SV43: $i,SV350: $i] :
( ( ( ~ ( r2_hidden @ SV350 @ SV43 )
| ~ ( r2_hidden @ SV350 @ SV180 ) )
= $true )
| ( ( r2_hidden @ SV350 @ SV270 )
= $true )
| ( ( SV270
= ( k3_xboole_0 @ SV43 @ SV180 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8418]) ).
thf(8494,plain,
! [SV270: $i,SV43: $i,SV180: $i] :
( ( ( ~ ~ ( ~ ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV43 )
| ~ ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV180 ) )
| ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV270 ) )
= $false )
| ( ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV270 )
= $true )
| ( ( SV270
= ( k3_xboole_0 @ SV43 @ SV180 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8419]) ).
thf(8495,plain,
! [SV270: $i,SV43: $i,SV180: $i] :
( ( ( ~ ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV43 ) )
= $true )
| ( ( ~ ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV180 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV43 )
| ~ ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV180 ) )
| ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV270 ) ) )
= $true )
| ( ( SV270
= ( k3_xboole_0 @ SV43 @ SV180 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[8420]) ).
thf(8496,plain,
! [SV341: $i,SV49: $i,SV338: $i] :
( ( ( ~ ( ~ ~ ( ~ ( r2_hidden @ SV338 @ SV49 )
| ~ ( r2_hidden @ SV341 @ SV49 ) )
| ~ ~ ( r2_hidden @ SV338 @ SV341 ) ) )
= $false )
| ( ( ~ ( ( SV338 != SV341 ) ) )
= $true )
| ( ( ~ ~ ( r2_hidden @ SV341 @ SV338 ) )
= $true )
| ( ( v2_ordinal1 @ SV49 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8421]) ).
thf(8497,plain,
! [SV49: $i] :
( ( ( ~ ( ~ ~ ( ~ ( r2_hidden @ ( sK26_SY444 @ SV49 ) @ SV49 )
| ~ ( r2_hidden @ ( sK31_SY844 @ SV49 ) @ SV49 ) )
| ~ ~ ( r2_hidden @ ( sK26_SY444 @ SV49 ) @ ( sK31_SY844 @ SV49 ) ) ) )
= $true )
| ( ( v2_ordinal1 @ SV49 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8422]) ).
thf(8498,plain,
! [SV49: $i] :
( ( ( ( sK26_SY444 @ SV49 )
!= ( sK31_SY844 @ SV49 ) )
= $true )
| ( ( v2_ordinal1 @ SV49 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8423]) ).
thf(8499,plain,
! [SV312: $i,SV50: $i,SV273: $i,SV184: $i] :
( ( ( r2_hidden @ SV184 @ SV273 )
= $false )
| ( ( r2_hidden @ SV50 @ SV184 )
= $false )
| ( ( ~ ( r2_hidden @ SV273 @ SV312 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV312 @ SV50 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8424]) ).
thf(8500,plain,
! [SV57: $i,SV187: $i] :
( ( ( ~ ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) ) )
= $false )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $true )
| ( ( ~ ! [SY690: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY690 @ SV187 )
| ( p1_s3_xboole_0 @ SY690 ) )
| ~ ( ~ ( p1_s3_xboole_0 @ SY690 )
| ( r2_hidden @ SY690 @ SV187 ) ) ) )
= $true )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8425]) ).
thf(8501,plain,
! [SV57: $i,SV187: $i] :
( ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $false )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $true )
| ( ( ~ ! [SY690: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY690 @ SV187 )
| ( p1_s3_xboole_0 @ SY690 ) )
| ~ ( ~ ( p1_s3_xboole_0 @ SY690 )
| ( r2_hidden @ SY690 @ SV187 ) ) ) )
= $true )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8425]) ).
thf(8502,plain,
! [SV57: $i,SV187: $i] :
( ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $true )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $false )
| ( ( ~ ! [SY690: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY690 @ SV187 )
| ( p1_s3_xboole_0 @ SY690 ) )
| ~ ( ~ ( p1_s3_xboole_0 @ SY690 )
| ( r2_hidden @ SY690 @ SV187 ) ) ) )
= $true )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8426]) ).
thf(8503,plain,
! [SV57: $i,SV187: $i] :
( ( ( ! [SY690: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY690 @ SV187 )
| ( p1_s3_xboole_0 @ SY690 ) )
| ~ ( ~ ( p1_s3_xboole_0 @ SY690 )
| ( r2_hidden @ SY690 @ SV187 ) ) ) )
= $false )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $false )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $false )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8427]) ).
thf(8504,plain,
! [SV275: $i,SV189: $i,SV61: $i] :
( ( ( v1_xboole_0 @ SV61 )
= $true )
| ( ( ~ ( v2_relat_1 @ SV189 ) )
= $true )
| ( ( ~ ( m1_pboole @ SV189 @ SV61 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV275 @ SV61 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k1_funct_1 @ SV189 @ SV275 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8428]) ).
thf(8505,plain,
! [SV313: $i,SV64: $i] :
( ( ( SV64 != SV313 )
= $false )
| ( ( r2_hidden @ SV64 @ SV313 )
= $true )
| ( ( ~ ~ ( r2_hidden @ SV313 @ SV64 ) )
= $true )
| ( ( v3_ordinal1 @ SV313 )
= $false )
| ( ( v3_ordinal1 @ SV64 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8429]) ).
thf(8506,plain,
! [SV277: $i,SV192: $i,SV65: $i] :
( ( ( r2_hidden @ SV65 @ ( a_2_0_closure3 @ SV192 @ SV277 ) )
= $false )
| ( ( ~ ! [SY807: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY807 @ SV192 )
| ( SV65 != SY807 ) )
| ~ ( ( ( k1_funct_1 @ SV277 @ SY807 )
!= k1_xboole_0 ) ) ) )
= $true )
| ( ( v1_xboole_0 @ SV192 )
= $true )
| ( ( m1_pboole @ SV277 @ SV192 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8430]) ).
thf(8507,plain,
! [SV277: $i,SV65: $i,SV192: $i] :
( ( ( ~ ! [SY808: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY808 @ SV192 )
| ( SV65 != SY808 ) )
| ~ ( ( ( k1_funct_1 @ SV277 @ SY808 )
!= k1_xboole_0 ) ) ) )
= $false )
| ( ( r2_hidden @ SV65 @ ( a_2_0_closure3 @ SV192 @ SV277 ) )
= $true )
| ( ( v1_xboole_0 @ SV192 )
= $true )
| ( ( m1_pboole @ SV277 @ SV192 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8431]) ).
thf(8508,plain,
! [SV73: $i,SV198: $i] :
( ( ( r2_hidden @ ( sK46_SY482 @ SV198 @ SV73 ) @ SV73 )
= $true )
| ( ( ~ ! [SY704: $i] :
~ ~ ( ~ ( r2_hidden @ SY704 @ SV198 )
| ~ ! [SX3: $i,SX4: $i] :
( SY704
!= ( k4_tarski @ SX3 @ SX4 ) ) ) )
= $true )
| ( ( ~ ! [SY707: $i,SY708: $i] :
~ ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 ) )
| ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 ) ) ) )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8432]) ).
thf(8509,plain,
! [SV73: $i,SV198: $i] :
( ( ( ! [SY852: $i,SY853: $i] :
( ( sK46_SY482 @ SV198 @ SV73 )
!= ( k4_tarski @ SY852 @ SY853 ) ) )
= $true )
| ( ( ~ ! [SY704: $i] :
~ ~ ( ~ ( r2_hidden @ SY704 @ SV198 )
| ~ ! [SX3: $i,SX4: $i] :
( SY704
!= ( k4_tarski @ SX3 @ SX4 ) ) ) )
= $true )
| ( ( ~ ! [SY707: $i,SY708: $i] :
~ ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 ) )
| ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 ) ) ) )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8433]) ).
thf(8510,plain,
! [SV323: $i,SV200: $i,SV76: $i,SV360: $i] :
( ( ( r2_hidden @ SV360 @ SV76 )
= $false )
| ( ( r2_hidden @ ( k1_funct_1 @ SV200 @ SV360 ) @ ( k1_funct_1 @ SV323 @ SV360 ) )
= $true )
| ( ( r1_pboole @ SV76 @ SV200 @ SV323 )
= $false )
| ( ( m1_pboole @ SV323 @ SV76 )
= $false )
| ( ( m1_pboole @ SV200 @ SV76 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8434]) ).
thf(8511,plain,
! [SV76: $i,SV200: $i,SV323: $i] :
( ( ( r2_hidden @ ( sK53_SY831 @ SV323 @ SV200 @ SV76 ) @ SV76 )
= $true )
| ( ( r1_pboole @ SV76 @ SV200 @ SV323 )
= $true )
| ( ( m1_pboole @ SV323 @ SV76 )
= $false )
| ( ( m1_pboole @ SV200 @ SV76 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8435]) ).
thf(8512,plain,
! [SV324: $i,SV315: $i,SV284: $i,SV204: $i,SV80: $i] :
( ( ( ~ ( ~ ( r2_hidden @ SV80 @ SV204 )
| ~ ( r2_hidden @ SV204 @ SV284 ) ) )
= $false )
| ( ( ~ ( r2_hidden @ SV284 @ SV315 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV315 @ SV324 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV324 @ SV80 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8437]) ).
thf(8513,plain,
! [SV286: $i,SV206: $i,SV82: $i,SV351: $i] :
( ( ( r2_hidden @ SV351 @ SV82 )
= $true )
| ( ( r2_hidden @ SV351 @ SV206 )
= $true )
| ( ( r2_hidden @ SV351 @ SV286 )
= $false )
| ( ( SV286
= ( k2_xboole_0 @ SV82 @ SV206 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[8438]) ).
thf(8514,plain,
! [SV206: $i,SV286: $i,SV82: $i,SV351: $i] :
( ( ( r2_hidden @ SV351 @ SV82 )
= $false )
| ( ( r2_hidden @ SV351 @ SV286 )
= $true )
| ( ( SV286
= ( k2_xboole_0 @ SV82 @ SV206 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8439]) ).
thf(8515,plain,
! [SV82: $i,SV286: $i,SV206: $i,SV351: $i] :
( ( ( r2_hidden @ SV351 @ SV206 )
= $false )
| ( ( r2_hidden @ SV351 @ SV286 )
= $true )
| ( ( SV286
= ( k2_xboole_0 @ SV82 @ SV206 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8439]) ).
thf(8516,plain,
! [SV286: $i,SV82: $i,SV206: $i] :
( ( ( ~ ( ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV82 )
| ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV206 ) )
| ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV286 ) )
= $false )
| ( ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV286 )
= $true )
| ( ( SV286
= ( k2_xboole_0 @ SV82 @ SV206 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8440]) ).
thf(8517,plain,
! [SV286: $i,SV82: $i,SV206: $i] :
( ( ( ~ ( ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV82 )
| ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV206 ) )
| ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV286 ) )
= $false )
| ( ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV82 )
= $false )
| ( ( SV286
= ( k2_xboole_0 @ SV82 @ SV206 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8441]) ).
thf(8518,plain,
! [SV286: $i,SV82: $i,SV206: $i] :
( ( ( ~ ( ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV82 )
| ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV206 ) )
| ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV286 ) )
= $false )
| ( ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV206 )
= $false )
| ( ( SV286
= ( k2_xboole_0 @ SV82 @ SV206 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8442]) ).
thf(8519,plain,
! [SV337: $i,SV325: $i,SV316: $i,SV287: $i,SV207: $i,SV84: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ SV84 @ SV207 )
| ~ ( r2_hidden @ SV207 @ SV287 ) )
| ~ ( r2_hidden @ SV287 @ SV316 ) ) )
= $true )
| ( ( ~ ( r2_hidden @ SV316 @ SV325 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV325 @ SV337 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV337 @ SV84 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[8443]) ).
thf(8520,plain,
! [SV93: $i] :
( ( ( ~ ~ ( ~ ( r2_hidden @ ( sK47_SY530 @ SV93 ) @ SV93 )
| ~ ( r2_hidden @ ( sK50_SY854 @ SV93 ) @ SV93 ) ) )
= $false )
| ( ( v1_realset1 @ SV93 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8444]) ).
thf(8521,plain,
! [SV93: $i] :
( ( ( ~ ( ( ( sK47_SY530 @ SV93 )
!= ( sK50_SY854 @ SV93 ) ) ) )
= $false )
| ( ( v1_realset1 @ SV93 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8444]) ).
thf(8522,plain,
! [SV361: $i,SV93: $i,SV356: $i] :
( ( ( ~ ~ ( ~ ( r2_hidden @ SV356 @ SV93 )
| ~ ( r2_hidden @ SV361 @ SV93 ) )
| ~ ( ( SV356 != SV361 ) ) )
= $true )
| ( ( ~ ( v1_realset1 @ SV93 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8445]) ).
thf(8523,plain,
! [SV103: $i,SV221: $i,SV362: $i] :
( ( ( ~ ( r2_hidden @ SV362 @ SV221 )
| ~ ( r2_hidden @ SV362 @ ( sK33_SY736 @ SV103 @ SV221 ) ) )
= $true )
| ( ( r2_hidden @ SV103 @ SV221 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8446]) ).
thf(8524,plain,
! [SV293: $i,SV222: $i,SV104: $i,SV352: $i] :
( ( ( ~ ( r2_hidden @ SV352 @ SV104 )
| ~ ~ ( r2_hidden @ SV352 @ SV222 ) )
= $false )
| ( ( r2_hidden @ SV352 @ SV293 )
= $false )
| ( ( SV293
= ( k4_xboole_0 @ SV104 @ SV222 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8447]) ).
thf(8525,plain,
! [SV293: $i,SV222: $i,SV104: $i,SV352: $i] :
( ( ( ~ ( r2_hidden @ SV352 @ SV104 )
| ~ ~ ( r2_hidden @ SV352 @ SV222 ) )
= $true )
| ( ( r2_hidden @ SV352 @ SV293 )
= $true )
| ( ( SV293
= ( k4_xboole_0 @ SV104 @ SV222 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8448]) ).
thf(8526,plain,
! [SV293: $i,SV104: $i,SV222: $i] :
( ( ( ~ ~ ( ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV104 )
| ~ ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV222 ) )
| ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV293 ) )
= $false )
| ( ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV293 )
= $true )
| ( ( SV293
= ( k4_xboole_0 @ SV104 @ SV222 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8449]) ).
thf(8527,plain,
! [SV293: $i,SV104: $i,SV222: $i] :
( ( ( ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV104 ) )
= $true )
| ( ( ~ ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV222 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV104 )
| ~ ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV222 ) )
| ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV293 ) ) )
= $true )
| ( ( SV293
= ( k4_xboole_0 @ SV104 @ SV222 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[8450]) ).
thf(8528,plain,
! [SV296: $i,SV228: $i,SV110: $i] :
( ( ( ~ ( r3_pboole @ SV110 @ SV228 @ SV296 ) )
= $true )
| ( ( ~ ( r3_pboole @ SV110 @ SV296 @ SV228 ) )
= $true )
| ( ( m1_pboole @ SV228 @ SV110 )
= $false )
| ( ( v1_xboole_0 @ SV110 )
= $true )
| ( ( m1_pboole @ SV296 @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[8451]) ).
thf(8529,plain,
! [SV231: $i,SV328: $i,SV116: $i,SV363: $i] :
( ( ( r2_hidden @ SV363 @ SV116 )
= $false )
| ( ( m1_subset_1 @ ( k1_funct_1 @ SV328 @ SV363 ) @ ( k1_funct_1 @ SV231 @ SV363 ) )
= $true )
| ( ( m2_pboole @ SV328 @ SV116 @ SV231 )
= $false )
| ( ( m1_pboole @ SV328 @ SV116 )
= $false )
| ( ( m1_pboole @ SV231 @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8452]) ).
thf(8530,plain,
! [SV116: $i,SV328: $i,SV231: $i] :
( ( ( r2_hidden @ ( sK54_SY835 @ SV231 @ SV328 @ SV116 ) @ SV116 )
= $true )
| ( ( m2_pboole @ SV328 @ SV116 @ SV231 )
= $true )
| ( ( m1_pboole @ SV328 @ SV116 )
= $false )
| ( ( m1_pboole @ SV231 @ SV116 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8453]) ).
thf(8531,plain,
! [SV343: $i,SV329: $i,SV232: $i,SV117: $i] :
( ( ( r2_pboole @ SV117 @ SV232 @ SV329 )
= $false )
| ( ( ~ ( r2_pboole @ SV117 @ SV329 @ SV343 ) )
= $true )
| ( ( r2_pboole @ SV117 @ SV232 @ SV343 )
= $true )
| ( ( m1_pboole @ SV343 @ SV117 )
= $false )
| ( ( m1_pboole @ SV329 @ SV117 )
= $false )
| ( ( m1_pboole @ SV232 @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8455]) ).
thf(8532,plain,
! [SV122: $i,SV346: $i,SV331: $i] :
( ( ( ~ ( r2_hidden @ ( sK51_SY846 @ SV331 @ SV346 @ SV122 ) @ SV122 ) )
= $false )
| ( ( m1_subset_1 @ SV346 @ ( k2_relat_1 @ SV331 ) )
= $false )
| ( ( m1_pboole @ SV331 @ SV122 )
= $false )
| ( ( v1_xboole_0 @ SV122 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8456]) ).
thf(8533,plain,
! [SV122: $i,SV331: $i,SV346: $i] :
( ( ( SV346
!= ( k1_funct_1 @ SV331 @ ( sK51_SY846 @ SV331 @ SV346 @ SV122 ) ) )
= $false )
| ( ( m1_subset_1 @ SV346 @ ( k2_relat_1 @ SV331 ) )
= $false )
| ( ( m1_pboole @ SV331 @ SV122 )
= $false )
| ( ( v1_xboole_0 @ SV122 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8456]) ).
thf(8534,plain,
! [SV129: $i,SV239: $i,SV332: $i] :
( ( ( ~ ( r2_hidden @ ( sK42_SY840 @ SV332 @ SV239 @ SV129 ) @ SV239 ) )
= $false )
| ( ( ~ ( ~ ( r2_hidden @ ( sK42_SY840 @ SV332 @ SV239 @ SV129 ) @ SV332 )
| ( r2_hidden @ ( sK42_SY840 @ SV332 @ SV239 @ SV129 ) @ SV239 ) ) )
= $true )
| ( ( SV239 = SV332 )
= $true )
| ( ( m1_subset_1 @ SV332 @ ( k1_zfmisc_1 @ SV129 ) )
= $false )
| ( ( m1_subset_1 @ SV239 @ ( k1_zfmisc_1 @ SV129 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8457]) ).
thf(8535,plain,
! [SV129: $i,SV239: $i,SV332: $i] :
( ( ( r2_hidden @ ( sK42_SY840 @ SV332 @ SV239 @ SV129 ) @ SV332 )
= $false )
| ( ( ~ ( ~ ( r2_hidden @ ( sK42_SY840 @ SV332 @ SV239 @ SV129 ) @ SV332 )
| ( r2_hidden @ ( sK42_SY840 @ SV332 @ SV239 @ SV129 ) @ SV239 ) ) )
= $true )
| ( ( SV239 = SV332 )
= $true )
| ( ( m1_subset_1 @ SV332 @ ( k1_zfmisc_1 @ SV129 ) )
= $false )
| ( ( m1_subset_1 @ SV239 @ ( k1_zfmisc_1 @ SV129 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8457]) ).
thf(8536,plain,
! [SV133: $i,SV242: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK55_SY758 @ SV242 @ SV133 ) @ SV133 )
| ~ ( ( ( sK55_SY758 @ SV242 @ SV133 )
!= SV242 ) ) ) )
= $true )
| ( ( SV133
= ( k1_tarski @ SV242 ) )
= $true )
| ( ( SV133 = k1_xboole_0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8458]) ).
thf(8537,plain,
! [SV243: $i,SV134: $i,SV299: $i] :
( ( ( ~ ( v1_xboole_0 @ SV299 ) )
= $false )
| ( ( v1_xboole_0 @ SV134 )
= $true )
| ( ( v1_xboole_0 @ SV243 )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k3_zfmisc_1 @ SV134 @ SV243 @ SV299 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8459]) ).
thf(8538,plain,
! [SV136: $i,SV245: $i,SV333: $i] :
( ( ( ~ ( r2_hidden @ ( sK43_SY841 @ SV333 @ SV245 @ SV136 ) @ SV245 ) )
= $false )
| ( ( ~ ( ~ ( r2_hidden @ ( sK43_SY841 @ SV333 @ SV245 @ SV136 ) @ SV333 )
| ( r2_hidden @ ( sK43_SY841 @ SV333 @ SV245 @ SV136 ) @ SV245 ) ) )
= $true )
| ( ( SV245 = SV333 )
= $true )
| ( ( m1_subset_1 @ SV333 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV136 ) ) )
= $false )
| ( ( m1_subset_1 @ SV245 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV136 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8460]) ).
thf(8539,plain,
! [SV136: $i,SV245: $i,SV333: $i] :
( ( ( r2_hidden @ ( sK43_SY841 @ SV333 @ SV245 @ SV136 ) @ SV333 )
= $false )
| ( ( ~ ( ~ ( r2_hidden @ ( sK43_SY841 @ SV333 @ SV245 @ SV136 ) @ SV333 )
| ( r2_hidden @ ( sK43_SY841 @ SV333 @ SV245 @ SV136 ) @ SV245 ) ) )
= $true )
| ( ( SV245 = SV333 )
= $true )
| ( ( m1_subset_1 @ SV333 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV136 ) ) )
= $false )
| ( ( m1_subset_1 @ SV245 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV136 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8460]) ).
thf(8540,plain,
! [SV139: $i,SV357: $i,SV248: $i] :
( ( ( v1_xboole_0 @ ( k1_funct_1 @ SV248 @ SV357 ) )
= $false )
| ( ( r2_hidden @ SV357 @ SV139 )
= $false )
| ( ( v2_relat_1 @ SV248 )
= $false )
| ( ( m1_pboole @ SV248 @ SV139 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8461]) ).
thf(8541,plain,
! [SV301: $i,SV249: $i,SV140: $i,SV353: $i] :
( ( ( SV353 = SV140 )
= $true )
| ( ( SV353 = SV249 )
= $true )
| ( ( r2_hidden @ SV353 @ SV301 )
= $false )
| ( ( SV301
= ( k2_tarski @ SV140 @ SV249 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[8464]) ).
thf(8542,plain,
! [SV249: $i,SV301: $i,SV140: $i,SV353: $i] :
( ( ( SV353 = SV140 )
= $false )
| ( ( r2_hidden @ SV353 @ SV301 )
= $true )
| ( ( SV301
= ( k2_tarski @ SV140 @ SV249 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8465]) ).
thf(8543,plain,
! [SV140: $i,SV301: $i,SV249: $i,SV353: $i] :
( ( ( SV353 = SV249 )
= $false )
| ( ( r2_hidden @ SV353 @ SV301 )
= $true )
| ( ( SV301
= ( k2_tarski @ SV140 @ SV249 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8465]) ).
thf(8544,plain,
! [SV301: $i,SV140: $i,SV249: $i] :
( ( ( ~ ( ( ( sK40_SY821 @ SV249 @ SV140 @ SV301 )
= SV140 )
| ( ( sK40_SY821 @ SV249 @ SV140 @ SV301 )
= SV249 ) )
| ( r2_hidden @ ( sK40_SY821 @ SV249 @ SV140 @ SV301 ) @ SV301 ) )
= $false )
| ( ( r2_hidden @ ( sK40_SY821 @ SV249 @ SV140 @ SV301 ) @ SV301 )
= $true )
| ( ( SV301
= ( k2_tarski @ SV140 @ SV249 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8466]) ).
thf(8545,plain,
! [SV301: $i,SV140: $i,SV249: $i] :
( ( ( ~ ( ( ( sK40_SY821 @ SV249 @ SV140 @ SV301 )
= SV140 )
| ( ( sK40_SY821 @ SV249 @ SV140 @ SV301 )
= SV249 ) )
| ( r2_hidden @ ( sK40_SY821 @ SV249 @ SV140 @ SV301 ) @ SV301 ) )
= $false )
| ( ( ( sK40_SY821 @ SV249 @ SV140 @ SV301 )
= SV140 )
= $false )
| ( ( SV301
= ( k2_tarski @ SV140 @ SV249 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8467]) ).
thf(8546,plain,
! [SV301: $i,SV140: $i,SV249: $i] :
( ( ( ~ ( ( ( sK40_SY821 @ SV249 @ SV140 @ SV301 )
= SV140 )
| ( ( sK40_SY821 @ SV249 @ SV140 @ SV301 )
= SV249 ) )
| ( r2_hidden @ ( sK40_SY821 @ SV249 @ SV140 @ SV301 ) @ SV301 ) )
= $false )
| ( ( ( sK40_SY821 @ SV249 @ SV140 @ SV301 )
= SV249 )
= $false )
| ( ( SV301
= ( k2_tarski @ SV140 @ SV249 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8468]) ).
thf(8547,plain,
! [SV250: $i,SV302: $i,SV141: $i] :
( ( ( ~ ( r2_hidden @ SV141 @ SV302 )
| ( r2_hidden @ SV141 @ SV250 ) )
= $false )
| ( ( r2_hidden @ SV141 @ SV250 )
= $true )
| ( ( r2_hidden @ SV141 @ ( k5_xboole_0 @ SV250 @ SV302 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8469]) ).
thf(8548,plain,
! [SV250: $i,SV302: $i,SV141: $i] :
( ( ( ~ ( r2_hidden @ SV141 @ SV302 ) )
= $false )
| ( ( r2_hidden @ SV141 @ SV302 )
= $false )
| ( ( r2_hidden @ SV141 @ ( k5_xboole_0 @ SV250 @ SV302 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8470]) ).
thf(8549,plain,
! [SV302: $i,SV250: $i,SV141: $i] :
( ( ( r2_hidden @ SV141 @ SV250 )
= $false )
| ( ( r2_hidden @ SV141 @ SV302 )
= $false )
| ( ( r2_hidden @ SV141 @ ( k5_xboole_0 @ SV250 @ SV302 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8470]) ).
thf(8550,plain,
! [SV347: $i,SV334: $i,SV253: $i,SV144: $i] :
( ( ( r7_pboole @ SV144 @ SV253 @ SV334 )
= $false )
| ( ( ~ ( r7_pboole @ SV144 @ SV334 @ SV347 ) )
= $true )
| ( ( r7_pboole @ SV144 @ SV253 @ SV347 )
= $true )
| ( ( m1_pboole @ SV347 @ SV144 )
= $false )
| ( ( m1_pboole @ SV334 @ SV144 )
= $false )
| ( ( m1_pboole @ SV253 @ SV144 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8473]) ).
thf(8551,plain,
! [SV148: $i,SV256: $i,SV364: $i] :
( ( ( ~ ( ~ ( r2_hidden @ SV364 @ SV256 )
| ! [SY855: $i] :
( ~ ( r2_hidden @ SY855 @ SV148 )
| ( r2_hidden @ SV364 @ SY855 ) ) )
| ~ ( ~ ! [SY856: $i] :
( ~ ( r2_hidden @ SY856 @ SV148 )
| ( r2_hidden @ SV364 @ SY856 ) )
| ( r2_hidden @ SV364 @ SV256 ) ) )
= $false )
| ( ( SV256
= ( k1_setfam_1 @ SV148 ) )
= $false )
| ( ( SV148 = k1_xboole_0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8476]) ).
thf(8552,plain,
! [SV256: $i,SV148: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ SV256 )
| ! [SY857: $i] :
( ~ ( r2_hidden @ SY857 @ SV148 )
| ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ SY857 ) ) )
| ~ ( ~ ! [SY858: $i] :
( ~ ( r2_hidden @ SY858 @ SV148 )
| ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ SY858 ) )
| ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ SV256 ) ) )
= $true )
| ( ( SV256
= ( k1_setfam_1 @ SV148 ) )
= $true )
| ( ( SV148 = k1_xboole_0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8477]) ).
thf(8553,plain,
! [SV257: $i,SV149: $i] :
( ( ( ( sK35_SY781 @ SV149 @ SV257 )
!= SV149 )
= $false )
| ( ( r2_hidden @ ( sK35_SY781 @ SV149 @ SV257 ) @ SV257 )
= $true )
| ( ( SV257
= ( k1_tarski @ SV149 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8478]) ).
thf(8554,plain,
! [SV257: $i,SV149: $i] :
( ( ( r2_hidden @ ( sK35_SY781 @ SV149 @ SV257 ) @ SV257 )
= $false )
| ( ( r2_hidden @ ( sK35_SY781 @ SV149 @ SV257 ) @ SV257 )
= $true )
| ( ( SV257
= ( k1_tarski @ SV149 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8478]) ).
thf(8555,plain,
! [SV257: $i,SV149: $i] :
( ( ( ( sK35_SY781 @ SV149 @ SV257 )
= SV149 )
= $true )
| ( ( ( sK35_SY781 @ SV149 @ SV257 )
= SV149 )
= $false )
| ( ( SV257
= ( k1_tarski @ SV149 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8479]) ).
thf(8556,plain,
! [SV150: $i,SV258: $i] :
( ( ( ~ ( r2_hidden @ ( sK52_SY782 @ SV258 @ SV150 ) @ SV150 ) )
= $false )
| ( ( r1_xboole_0 @ SV150 @ SV258 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8481]) ).
thf(8557,plain,
! [SV150: $i,SV258: $i] :
( ( ( ~ ( r2_hidden @ ( sK52_SY782 @ SV258 @ SV150 ) @ SV258 ) )
= $false )
| ( ( r1_xboole_0 @ SV150 @ SV258 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8481]) ).
thf(8558,plain,
! [SV258: $i,SV150: $i,SV359: $i] :
( ( ( r2_hidden @ SV359 @ SV150 )
= $false )
| ( ( ~ ( r2_hidden @ SV359 @ SV258 ) )
= $true )
| ( ( ~ ( r1_xboole_0 @ SV150 @ SV258 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8482]) ).
thf(8559,plain,
! [SV151: $i,SV259: $i,SV349: $i] :
( ( ( ~ ~ ( ~ ( r2_hidden @ SV349 @ ( sK57_SY847 @ SV259 @ SV151 @ SV349 ) )
| ~ ( r2_hidden @ ( sK57_SY847 @ SV259 @ SV151 @ SV349 ) @ SV151 ) ) )
= $false )
| ( ( r2_hidden @ SV349 @ SV259 )
= $false )
| ( ( SV259
= ( k3_tarski @ SV151 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[8483]) ).
thf(8560,plain,
! [SV259: $i,SV151: $i,SV366: $i,SV349: $i] :
( ( ( ~ ~ ( ~ ( r2_hidden @ SV349 @ SV366 )
| ~ ( r2_hidden @ SV366 @ SV151 ) ) )
= $true )
| ( ( r2_hidden @ SV349 @ SV259 )
= $true )
| ( ( SV259
= ( k3_tarski @ SV151 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[8484]) ).
thf(8561,plain,
! [SV259: $i,SV151: $i] :
( ( ( ~ ~ ! [SY850: $i] :
~ ~ ( ~ ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SY850 )
| ~ ( r2_hidden @ SY850 @ SV151 ) ) )
= $false )
| ( ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SV259 )
= $true )
| ( ( SV259
= ( k3_tarski @ SV151 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8485]) ).
thf(8562,plain,
! [SV259: $i,SV151: $i] :
( ( ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SV259 )
= $false )
| ( ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SV259 )
= $true )
| ( ( SV259
= ( k3_tarski @ SV151 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8485]) ).
thf(8563,plain,
! [SV365: $i,SV259: $i,SV151: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SV365 )
| ~ ( r2_hidden @ SV365 @ SV151 ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY850: $i] :
~ ~ ( ~ ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SY850 )
| ~ ( r2_hidden @ SY850 @ SV151 ) )
| ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SV259 ) ) )
= $true )
| ( ( SV259
= ( k3_tarski @ SV151 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8486]) ).
thf(8564,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ( ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) )
| ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) ) ) )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV163 )
= $false )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8487]) ).
thf(8565,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV163 )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV163 )
= $false )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8488]) ).
thf(8566,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $true )
| ( ( ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) )
| ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) ) )
| ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV163 ) ) )
= $true )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8489]) ).
thf(8567,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) )
| ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) ) )
| ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV163 ) ) )
= $true )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8490]) ).
thf(8568,plain,
! [SV318: $i,SV310: $i,SV267: $i,SV166: $i] :
( ( ( ~ ( v1_xboole_0 @ SV166 ) )
= $false )
| ( ( ~ ~ ( v1_xboole_0 @ SV267 ) )
= $true )
| ( ( ~ ~ ( v1_xboole_0 @ SV310 ) )
= $true )
| ( ( ~ ~ ( v1_xboole_0 @ SV318 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k4_zfmisc_1 @ SV166 @ SV267 @ SV310 @ SV318 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8491]) ).
thf(8569,plain,
! [SV180: $i,SV270: $i,SV43: $i,SV350: $i] :
( ( ( ~ ( r2_hidden @ SV350 @ SV43 ) )
= $false )
| ( ( r2_hidden @ SV350 @ SV270 )
= $false )
| ( ( SV270
= ( k3_xboole_0 @ SV43 @ SV180 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8492]) ).
thf(8570,plain,
! [SV43: $i,SV270: $i,SV180: $i,SV350: $i] :
( ( ( ~ ( r2_hidden @ SV350 @ SV180 ) )
= $false )
| ( ( r2_hidden @ SV350 @ SV270 )
= $false )
| ( ( SV270
= ( k3_xboole_0 @ SV43 @ SV180 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8492]) ).
thf(8571,plain,
! [SV270: $i,SV180: $i,SV43: $i,SV350: $i] :
( ( ( ~ ( r2_hidden @ SV350 @ SV43 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV350 @ SV180 ) )
= $true )
| ( ( r2_hidden @ SV350 @ SV270 )
= $true )
| ( ( SV270
= ( k3_xboole_0 @ SV43 @ SV180 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[8493]) ).
thf(8572,plain,
! [SV270: $i,SV43: $i,SV180: $i] :
( ( ( ~ ~ ( ~ ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV43 )
| ~ ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV180 ) ) )
= $false )
| ( ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV270 )
= $true )
| ( ( SV270
= ( k3_xboole_0 @ SV43 @ SV180 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8494]) ).
thf(8573,plain,
! [SV270: $i,SV43: $i,SV180: $i] :
( ( ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV270 )
= $false )
| ( ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV270 )
= $true )
| ( ( SV270
= ( k3_xboole_0 @ SV43 @ SV180 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8494]) ).
thf(8574,plain,
! [SV270: $i,SV43: $i,SV180: $i] :
( ( ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV43 )
= $false )
| ( ( ~ ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV180 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV43 )
| ~ ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV180 ) )
| ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV270 ) ) )
= $true )
| ( ( SV270
= ( k3_xboole_0 @ SV43 @ SV180 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8495]) ).
thf(8575,plain,
! [SV341: $i,SV49: $i,SV338: $i] :
( ( ( ~ ~ ( ~ ( r2_hidden @ SV338 @ SV49 )
| ~ ( r2_hidden @ SV341 @ SV49 ) )
| ~ ~ ( r2_hidden @ SV338 @ SV341 ) )
= $true )
| ( ( ~ ( ( SV338 != SV341 ) ) )
= $true )
| ( ( ~ ~ ( r2_hidden @ SV341 @ SV338 ) )
= $true )
| ( ( v2_ordinal1 @ SV49 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8496]) ).
thf(8576,plain,
! [SV49: $i] :
( ( ( ~ ~ ( ~ ( r2_hidden @ ( sK26_SY444 @ SV49 ) @ SV49 )
| ~ ( r2_hidden @ ( sK31_SY844 @ SV49 ) @ SV49 ) )
| ~ ~ ( r2_hidden @ ( sK26_SY444 @ SV49 ) @ ( sK31_SY844 @ SV49 ) ) )
= $false )
| ( ( v2_ordinal1 @ SV49 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8497]) ).
thf(8577,plain,
! [SV49: $i] :
( ( ( ( sK26_SY444 @ SV49 )
= ( sK31_SY844 @ SV49 ) )
= $false )
| ( ( v2_ordinal1 @ SV49 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8498]) ).
thf(8578,plain,
! [SV184: $i,SV50: $i,SV312: $i,SV273: $i] :
( ( ( r2_hidden @ SV273 @ SV312 )
= $false )
| ( ( r2_hidden @ SV50 @ SV184 )
= $false )
| ( ( r2_hidden @ SV184 @ SV273 )
= $false )
| ( ( ~ ( r2_hidden @ SV312 @ SV50 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8499]) ).
thf(8579,plain,
! [SV57: $i,SV187: $i] :
( ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $true )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $true )
| ( ( ~ ! [SY690: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY690 @ SV187 )
| ( p1_s3_xboole_0 @ SY690 ) )
| ~ ( ~ ( p1_s3_xboole_0 @ SY690 )
| ( r2_hidden @ SY690 @ SV187 ) ) ) )
= $true )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8500]) ).
thf(8580,plain,
! [SV57: $i,SV187: $i] :
( ( ( ! [SY690: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY690 @ SV187 )
| ( p1_s3_xboole_0 @ SY690 ) )
| ~ ( ~ ( p1_s3_xboole_0 @ SY690 )
| ( r2_hidden @ SY690 @ SV187 ) ) ) )
= $false )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $true )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $false )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8501]) ).
thf(8581,plain,
! [SV57: $i,SV187: $i] :
( ( ( ! [SY690: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY690 @ SV187 )
| ( p1_s3_xboole_0 @ SY690 ) )
| ~ ( ~ ( p1_s3_xboole_0 @ SY690 )
| ( r2_hidden @ SY690 @ SV187 ) ) ) )
= $false )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $false )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $true )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8502]) ).
thf(8582,plain,
! [SV187: $i,SV57: $i] :
( ( ( ~ ( ~ ( ~ ( r2_hidden @ ( sK58_SY690 @ SV57 @ SV187 ) @ SV187 )
| ( p1_s3_xboole_0 @ ( sK58_SY690 @ SV57 @ SV187 ) ) )
| ~ ( ~ ( p1_s3_xboole_0 @ ( sK58_SY690 @ SV57 @ SV187 ) )
| ( r2_hidden @ ( sK58_SY690 @ SV57 @ SV187 ) @ SV187 ) ) ) )
= $false )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $false )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $false )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[8503]) ).
thf(8583,plain,
! [SV275: $i,SV61: $i,SV189: $i] :
( ( ( v2_relat_1 @ SV189 )
= $false )
| ( ( v1_xboole_0 @ SV61 )
= $true )
| ( ( ~ ( m1_pboole @ SV189 @ SV61 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV275 @ SV61 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k1_funct_1 @ SV189 @ SV275 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8504]) ).
thf(8584,plain,
! [SV313: $i,SV64: $i] :
( ( ( SV64 = SV313 )
= $true )
| ( ( r2_hidden @ SV64 @ SV313 )
= $true )
| ( ( ~ ~ ( r2_hidden @ SV313 @ SV64 ) )
= $true )
| ( ( v3_ordinal1 @ SV313 )
= $false )
| ( ( v3_ordinal1 @ SV64 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8505]) ).
thf(8585,plain,
! [SV277: $i,SV65: $i,SV192: $i] :
( ( ( ! [SY807: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY807 @ SV192 )
| ( SV65 != SY807 ) )
| ~ ( ( ( k1_funct_1 @ SV277 @ SY807 )
!= k1_xboole_0 ) ) ) )
= $false )
| ( ( r2_hidden @ SV65 @ ( a_2_0_closure3 @ SV192 @ SV277 ) )
= $false )
| ( ( v1_xboole_0 @ SV192 )
= $true )
| ( ( m1_pboole @ SV277 @ SV192 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8506]) ).
thf(8586,plain,
! [SV277: $i,SV65: $i,SV192: $i] :
( ( ( ! [SY808: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY808 @ SV192 )
| ( SV65 != SY808 ) )
| ~ ( ( ( k1_funct_1 @ SV277 @ SY808 )
!= k1_xboole_0 ) ) ) )
= $true )
| ( ( r2_hidden @ SV65 @ ( a_2_0_closure3 @ SV192 @ SV277 ) )
= $true )
| ( ( v1_xboole_0 @ SV192 )
= $true )
| ( ( m1_pboole @ SV277 @ SV192 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8507]) ).
thf(8587,plain,
! [SV73: $i,SV198: $i] :
( ( ( ! [SY704: $i] :
~ ~ ( ~ ( r2_hidden @ SY704 @ SV198 )
| ~ ! [SX3: $i,SX4: $i] :
( SY704
!= ( k4_tarski @ SX3 @ SX4 ) ) ) )
= $false )
| ( ( r2_hidden @ ( sK46_SY482 @ SV198 @ SV73 ) @ SV73 )
= $true )
| ( ( ~ ! [SY707: $i,SY708: $i] :
~ ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 ) )
| ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 ) ) ) )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8508]) ).
thf(8588,plain,
! [SV367: $i,SV73: $i,SV198: $i] :
( ( ( ! [SY859: $i] :
( ( sK46_SY482 @ SV198 @ SV73 )
!= ( k4_tarski @ SV367 @ SY859 ) ) )
= $true )
| ( ( ~ ! [SY704: $i] :
~ ~ ( ~ ( r2_hidden @ SY704 @ SV198 )
| ~ ! [SX3: $i,SX4: $i] :
( SY704
!= ( k4_tarski @ SX3 @ SX4 ) ) ) )
= $true )
| ( ( ~ ! [SY707: $i,SY708: $i] :
~ ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 ) )
| ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 ) ) ) )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[8509]) ).
thf(8589,plain,
! [SV324: $i,SV315: $i,SV284: $i,SV204: $i,SV80: $i] :
( ( ( ~ ( r2_hidden @ SV80 @ SV204 )
| ~ ( r2_hidden @ SV204 @ SV284 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV284 @ SV315 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV315 @ SV324 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV324 @ SV80 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8512]) ).
thf(8590,plain,
! [SV286: $i,SV82: $i,SV206: $i] :
( ( ( ~ ( ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV82 )
| ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV206 ) ) )
= $false )
| ( ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV286 )
= $true )
| ( ( SV286
= ( k2_xboole_0 @ SV82 @ SV206 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8516]) ).
thf(8591,plain,
! [SV286: $i,SV82: $i,SV206: $i] :
( ( ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV286 )
= $false )
| ( ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV286 )
= $true )
| ( ( SV286
= ( k2_xboole_0 @ SV82 @ SV206 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8516]) ).
thf(8592,plain,
! [SV286: $i,SV82: $i,SV206: $i] :
( ( ( ~ ( ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV82 )
| ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV206 ) ) )
= $false )
| ( ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV82 )
= $false )
| ( ( SV286
= ( k2_xboole_0 @ SV82 @ SV206 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8517]) ).
thf(8593,plain,
! [SV286: $i,SV82: $i,SV206: $i] :
( ( ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV286 )
= $false )
| ( ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV82 )
= $false )
| ( ( SV286
= ( k2_xboole_0 @ SV82 @ SV206 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8517]) ).
thf(8594,plain,
! [SV286: $i,SV82: $i,SV206: $i] :
( ( ( ~ ( ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV82 )
| ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV206 ) ) )
= $false )
| ( ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV206 )
= $false )
| ( ( SV286
= ( k2_xboole_0 @ SV82 @ SV206 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8518]) ).
thf(8595,plain,
! [SV286: $i,SV82: $i,SV206: $i] :
( ( ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV286 )
= $false )
| ( ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV206 )
= $false )
| ( ( SV286
= ( k2_xboole_0 @ SV82 @ SV206 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8518]) ).
thf(8596,plain,
! [SV337: $i,SV325: $i,SV316: $i,SV287: $i,SV207: $i,SV84: $i] :
( ( ( ~ ( ~ ~ ( ~ ( r2_hidden @ SV84 @ SV207 )
| ~ ( r2_hidden @ SV207 @ SV287 ) )
| ~ ( r2_hidden @ SV287 @ SV316 ) ) )
= $false )
| ( ( ~ ( r2_hidden @ SV316 @ SV325 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV325 @ SV337 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV337 @ SV84 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8519]) ).
thf(8597,plain,
! [SV93: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK47_SY530 @ SV93 ) @ SV93 )
| ~ ( r2_hidden @ ( sK50_SY854 @ SV93 ) @ SV93 ) ) )
= $true )
| ( ( v1_realset1 @ SV93 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8520]) ).
thf(8598,plain,
! [SV93: $i] :
( ( ( ( sK47_SY530 @ SV93 )
!= ( sK50_SY854 @ SV93 ) )
= $true )
| ( ( v1_realset1 @ SV93 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8521]) ).
thf(8599,plain,
! [SV361: $i,SV93: $i,SV356: $i] :
( ( ( ~ ~ ( ~ ( r2_hidden @ SV356 @ SV93 )
| ~ ( r2_hidden @ SV361 @ SV93 ) ) )
= $true )
| ( ( ~ ( ( SV356 != SV361 ) ) )
= $true )
| ( ( ~ ( v1_realset1 @ SV93 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[8522]) ).
thf(8600,plain,
! [SV103: $i,SV221: $i,SV362: $i] :
( ( ( ~ ( r2_hidden @ SV362 @ SV221 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV362 @ ( sK33_SY736 @ SV103 @ SV221 ) ) )
= $true )
| ( ( r2_hidden @ SV103 @ SV221 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[8523]) ).
thf(8601,plain,
! [SV222: $i,SV293: $i,SV104: $i,SV352: $i] :
( ( ( ~ ( r2_hidden @ SV352 @ SV104 ) )
= $false )
| ( ( r2_hidden @ SV352 @ SV293 )
= $false )
| ( ( SV293
= ( k4_xboole_0 @ SV104 @ SV222 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8524]) ).
thf(8602,plain,
! [SV104: $i,SV293: $i,SV222: $i,SV352: $i] :
( ( ( ~ ~ ( r2_hidden @ SV352 @ SV222 ) )
= $false )
| ( ( r2_hidden @ SV352 @ SV293 )
= $false )
| ( ( SV293
= ( k4_xboole_0 @ SV104 @ SV222 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8524]) ).
thf(8603,plain,
! [SV293: $i,SV222: $i,SV104: $i,SV352: $i] :
( ( ( ~ ( r2_hidden @ SV352 @ SV104 ) )
= $true )
| ( ( ~ ~ ( r2_hidden @ SV352 @ SV222 ) )
= $true )
| ( ( r2_hidden @ SV352 @ SV293 )
= $true )
| ( ( SV293
= ( k4_xboole_0 @ SV104 @ SV222 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[8525]) ).
thf(8604,plain,
! [SV293: $i,SV104: $i,SV222: $i] :
( ( ( ~ ~ ( ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV104 )
| ~ ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV222 ) ) )
= $false )
| ( ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV293 )
= $true )
| ( ( SV293
= ( k4_xboole_0 @ SV104 @ SV222 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8526]) ).
thf(8605,plain,
! [SV293: $i,SV104: $i,SV222: $i] :
( ( ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV293 )
= $false )
| ( ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV293 )
= $true )
| ( ( SV293
= ( k4_xboole_0 @ SV104 @ SV222 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8526]) ).
thf(8606,plain,
! [SV293: $i,SV104: $i,SV222: $i] :
( ( ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV104 )
= $false )
| ( ( ~ ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV222 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV104 )
| ~ ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV222 ) )
| ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV293 ) ) )
= $true )
| ( ( SV293
= ( k4_xboole_0 @ SV104 @ SV222 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8527]) ).
thf(8607,plain,
! [SV296: $i,SV228: $i,SV110: $i] :
( ( ( r3_pboole @ SV110 @ SV228 @ SV296 )
= $false )
| ( ( ~ ( r3_pboole @ SV110 @ SV296 @ SV228 ) )
= $true )
| ( ( m1_pboole @ SV228 @ SV110 )
= $false )
| ( ( v1_xboole_0 @ SV110 )
= $true )
| ( ( m1_pboole @ SV296 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8528]) ).
thf(8608,plain,
! [SV232: $i,SV343: $i,SV329: $i,SV117: $i] :
( ( ( r2_pboole @ SV117 @ SV329 @ SV343 )
= $false )
| ( ( r2_pboole @ SV117 @ SV232 @ SV329 )
= $false )
| ( ( r2_pboole @ SV117 @ SV232 @ SV343 )
= $true )
| ( ( m1_pboole @ SV343 @ SV117 )
= $false )
| ( ( m1_pboole @ SV329 @ SV117 )
= $false )
| ( ( m1_pboole @ SV232 @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8531]) ).
thf(8609,plain,
! [SV122: $i,SV346: $i,SV331: $i] :
( ( ( r2_hidden @ ( sK51_SY846 @ SV331 @ SV346 @ SV122 ) @ SV122 )
= $true )
| ( ( m1_subset_1 @ SV346 @ ( k2_relat_1 @ SV331 ) )
= $false )
| ( ( m1_pboole @ SV331 @ SV122 )
= $false )
| ( ( v1_xboole_0 @ SV122 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8532]) ).
thf(8610,plain,
! [SV122: $i,SV331: $i,SV346: $i] :
( ( ( SV346
= ( k1_funct_1 @ SV331 @ ( sK51_SY846 @ SV331 @ SV346 @ SV122 ) ) )
= $true )
| ( ( m1_subset_1 @ SV346 @ ( k2_relat_1 @ SV331 ) )
= $false )
| ( ( m1_pboole @ SV331 @ SV122 )
= $false )
| ( ( v1_xboole_0 @ SV122 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8533]) ).
thf(8611,plain,
! [SV129: $i,SV239: $i,SV332: $i] :
( ( ( r2_hidden @ ( sK42_SY840 @ SV332 @ SV239 @ SV129 ) @ SV239 )
= $true )
| ( ( ~ ( ~ ( r2_hidden @ ( sK42_SY840 @ SV332 @ SV239 @ SV129 ) @ SV332 )
| ( r2_hidden @ ( sK42_SY840 @ SV332 @ SV239 @ SV129 ) @ SV239 ) ) )
= $true )
| ( ( SV239 = SV332 )
= $true )
| ( ( m1_subset_1 @ SV332 @ ( k1_zfmisc_1 @ SV129 ) )
= $false )
| ( ( m1_subset_1 @ SV239 @ ( k1_zfmisc_1 @ SV129 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8534]) ).
thf(8612,plain,
! [SV129: $i,SV239: $i,SV332: $i] :
( ( ( ~ ( r2_hidden @ ( sK42_SY840 @ SV332 @ SV239 @ SV129 ) @ SV332 )
| ( r2_hidden @ ( sK42_SY840 @ SV332 @ SV239 @ SV129 ) @ SV239 ) )
= $false )
| ( ( r2_hidden @ ( sK42_SY840 @ SV332 @ SV239 @ SV129 ) @ SV332 )
= $false )
| ( ( SV239 = SV332 )
= $true )
| ( ( m1_subset_1 @ SV332 @ ( k1_zfmisc_1 @ SV129 ) )
= $false )
| ( ( m1_subset_1 @ SV239 @ ( k1_zfmisc_1 @ SV129 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8535]) ).
thf(8613,plain,
! [SV133: $i,SV242: $i] :
( ( ( ~ ( r2_hidden @ ( sK55_SY758 @ SV242 @ SV133 ) @ SV133 )
| ~ ( ( ( sK55_SY758 @ SV242 @ SV133 )
!= SV242 ) ) )
= $false )
| ( ( SV133
= ( k1_tarski @ SV242 ) )
= $true )
| ( ( SV133 = k1_xboole_0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8536]) ).
thf(8614,plain,
! [SV243: $i,SV134: $i,SV299: $i] :
( ( ( v1_xboole_0 @ SV299 )
= $true )
| ( ( v1_xboole_0 @ SV134 )
= $true )
| ( ( v1_xboole_0 @ SV243 )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k3_zfmisc_1 @ SV134 @ SV243 @ SV299 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8537]) ).
thf(8615,plain,
! [SV136: $i,SV245: $i,SV333: $i] :
( ( ( r2_hidden @ ( sK43_SY841 @ SV333 @ SV245 @ SV136 ) @ SV245 )
= $true )
| ( ( ~ ( ~ ( r2_hidden @ ( sK43_SY841 @ SV333 @ SV245 @ SV136 ) @ SV333 )
| ( r2_hidden @ ( sK43_SY841 @ SV333 @ SV245 @ SV136 ) @ SV245 ) ) )
= $true )
| ( ( SV245 = SV333 )
= $true )
| ( ( m1_subset_1 @ SV333 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV136 ) ) )
= $false )
| ( ( m1_subset_1 @ SV245 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV136 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8538]) ).
thf(8616,plain,
! [SV136: $i,SV245: $i,SV333: $i] :
( ( ( ~ ( r2_hidden @ ( sK43_SY841 @ SV333 @ SV245 @ SV136 ) @ SV333 )
| ( r2_hidden @ ( sK43_SY841 @ SV333 @ SV245 @ SV136 ) @ SV245 ) )
= $false )
| ( ( r2_hidden @ ( sK43_SY841 @ SV333 @ SV245 @ SV136 ) @ SV333 )
= $false )
| ( ( SV245 = SV333 )
= $true )
| ( ( m1_subset_1 @ SV333 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV136 ) ) )
= $false )
| ( ( m1_subset_1 @ SV245 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV136 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8539]) ).
thf(8617,plain,
! [SV301: $i,SV140: $i,SV249: $i] :
( ( ( ~ ( ( ( sK40_SY821 @ SV249 @ SV140 @ SV301 )
= SV140 )
| ( ( sK40_SY821 @ SV249 @ SV140 @ SV301 )
= SV249 ) ) )
= $false )
| ( ( r2_hidden @ ( sK40_SY821 @ SV249 @ SV140 @ SV301 ) @ SV301 )
= $true )
| ( ( SV301
= ( k2_tarski @ SV140 @ SV249 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8544]) ).
thf(8618,plain,
! [SV301: $i,SV140: $i,SV249: $i] :
( ( ( r2_hidden @ ( sK40_SY821 @ SV249 @ SV140 @ SV301 ) @ SV301 )
= $false )
| ( ( r2_hidden @ ( sK40_SY821 @ SV249 @ SV140 @ SV301 ) @ SV301 )
= $true )
| ( ( SV301
= ( k2_tarski @ SV140 @ SV249 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8544]) ).
thf(8619,plain,
! [SV301: $i,SV140: $i,SV249: $i] :
( ( ( ~ ( ( ( sK40_SY821 @ SV249 @ SV140 @ SV301 )
= SV140 )
| ( ( sK40_SY821 @ SV249 @ SV140 @ SV301 )
= SV249 ) ) )
= $false )
| ( ( ( sK40_SY821 @ SV249 @ SV140 @ SV301 )
= SV140 )
= $false )
| ( ( SV301
= ( k2_tarski @ SV140 @ SV249 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8545]) ).
thf(8620,plain,
! [SV301: $i,SV140: $i,SV249: $i] :
( ( ( r2_hidden @ ( sK40_SY821 @ SV249 @ SV140 @ SV301 ) @ SV301 )
= $false )
| ( ( ( sK40_SY821 @ SV249 @ SV140 @ SV301 )
= SV140 )
= $false )
| ( ( SV301
= ( k2_tarski @ SV140 @ SV249 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8545]) ).
thf(8621,plain,
! [SV301: $i,SV140: $i,SV249: $i] :
( ( ( ~ ( ( ( sK40_SY821 @ SV249 @ SV140 @ SV301 )
= SV140 )
| ( ( sK40_SY821 @ SV249 @ SV140 @ SV301 )
= SV249 ) ) )
= $false )
| ( ( ( sK40_SY821 @ SV249 @ SV140 @ SV301 )
= SV249 )
= $false )
| ( ( SV301
= ( k2_tarski @ SV140 @ SV249 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8546]) ).
thf(8622,plain,
! [SV301: $i,SV140: $i,SV249: $i] :
( ( ( r2_hidden @ ( sK40_SY821 @ SV249 @ SV140 @ SV301 ) @ SV301 )
= $false )
| ( ( ( sK40_SY821 @ SV249 @ SV140 @ SV301 )
= SV249 )
= $false )
| ( ( SV301
= ( k2_tarski @ SV140 @ SV249 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8546]) ).
thf(8623,plain,
! [SV250: $i,SV302: $i,SV141: $i] :
( ( ( ~ ( r2_hidden @ SV141 @ SV302 ) )
= $false )
| ( ( r2_hidden @ SV141 @ SV250 )
= $true )
| ( ( r2_hidden @ SV141 @ ( k5_xboole_0 @ SV250 @ SV302 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8547]) ).
thf(8624,plain,
! [SV302: $i,SV250: $i,SV141: $i] :
( ( ( r2_hidden @ SV141 @ SV250 )
= $false )
| ( ( r2_hidden @ SV141 @ SV250 )
= $true )
| ( ( r2_hidden @ SV141 @ ( k5_xboole_0 @ SV250 @ SV302 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8547]) ).
thf(8625,plain,
! [SV250: $i,SV302: $i,SV141: $i] :
( ( ( r2_hidden @ SV141 @ SV302 )
= $true )
| ( ( r2_hidden @ SV141 @ SV302 )
= $false )
| ( ( r2_hidden @ SV141 @ ( k5_xboole_0 @ SV250 @ SV302 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8548]) ).
thf(8626,plain,
! [SV253: $i,SV347: $i,SV334: $i,SV144: $i] :
( ( ( r7_pboole @ SV144 @ SV334 @ SV347 )
= $false )
| ( ( r7_pboole @ SV144 @ SV253 @ SV334 )
= $false )
| ( ( r7_pboole @ SV144 @ SV253 @ SV347 )
= $true )
| ( ( m1_pboole @ SV347 @ SV144 )
= $false )
| ( ( m1_pboole @ SV334 @ SV144 )
= $false )
| ( ( m1_pboole @ SV253 @ SV144 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8550]) ).
thf(8627,plain,
! [SV148: $i,SV256: $i,SV364: $i] :
( ( ( ~ ( ~ ( r2_hidden @ SV364 @ SV256 )
| ! [SY855: $i] :
( ~ ( r2_hidden @ SY855 @ SV148 )
| ( r2_hidden @ SV364 @ SY855 ) ) ) )
= $false )
| ( ( SV256
= ( k1_setfam_1 @ SV148 ) )
= $false )
| ( ( SV148 = k1_xboole_0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8551]) ).
thf(8628,plain,
! [SV256: $i,SV364: $i,SV148: $i] :
( ( ( ~ ( ~ ! [SY856: $i] :
( ~ ( r2_hidden @ SY856 @ SV148 )
| ( r2_hidden @ SV364 @ SY856 ) )
| ( r2_hidden @ SV364 @ SV256 ) ) )
= $false )
| ( ( SV256
= ( k1_setfam_1 @ SV148 ) )
= $false )
| ( ( SV148 = k1_xboole_0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8551]) ).
thf(8629,plain,
! [SV256: $i,SV148: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ SV256 )
| ! [SY857: $i] :
( ~ ( r2_hidden @ SY857 @ SV148 )
| ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ SY857 ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY858: $i] :
( ~ ( r2_hidden @ SY858 @ SV148 )
| ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ SY858 ) )
| ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ SV256 ) ) )
= $true )
| ( ( SV256
= ( k1_setfam_1 @ SV148 ) )
= $true )
| ( ( SV148 = k1_xboole_0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[8552]) ).
thf(8630,plain,
! [SV257: $i,SV149: $i] :
( ( ( ( sK35_SY781 @ SV149 @ SV257 )
= SV149 )
= $true )
| ( ( r2_hidden @ ( sK35_SY781 @ SV149 @ SV257 ) @ SV257 )
= $true )
| ( ( SV257
= ( k1_tarski @ SV149 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8553]) ).
thf(8631,plain,
! [SV150: $i,SV258: $i] :
( ( ( r2_hidden @ ( sK52_SY782 @ SV258 @ SV150 ) @ SV150 )
= $true )
| ( ( r1_xboole_0 @ SV150 @ SV258 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8556]) ).
thf(8632,plain,
! [SV150: $i,SV258: $i] :
( ( ( r2_hidden @ ( sK52_SY782 @ SV258 @ SV150 ) @ SV258 )
= $true )
| ( ( r1_xboole_0 @ SV150 @ SV258 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8557]) ).
thf(8633,plain,
! [SV150: $i,SV258: $i,SV359: $i] :
( ( ( r2_hidden @ SV359 @ SV258 )
= $false )
| ( ( r2_hidden @ SV359 @ SV150 )
= $false )
| ( ( ~ ( r1_xboole_0 @ SV150 @ SV258 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8558]) ).
thf(8634,plain,
! [SV151: $i,SV259: $i,SV349: $i] :
( ( ( ~ ( ~ ( r2_hidden @ SV349 @ ( sK57_SY847 @ SV259 @ SV151 @ SV349 ) )
| ~ ( r2_hidden @ ( sK57_SY847 @ SV259 @ SV151 @ SV349 ) @ SV151 ) ) )
= $true )
| ( ( r2_hidden @ SV349 @ SV259 )
= $false )
| ( ( SV259
= ( k3_tarski @ SV151 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8559]) ).
thf(8635,plain,
! [SV259: $i,SV151: $i,SV366: $i,SV349: $i] :
( ( ( ~ ( ~ ( r2_hidden @ SV349 @ SV366 )
| ~ ( r2_hidden @ SV366 @ SV151 ) ) )
= $false )
| ( ( r2_hidden @ SV349 @ SV259 )
= $true )
| ( ( SV259
= ( k3_tarski @ SV151 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8560]) ).
thf(8636,plain,
! [SV259: $i,SV151: $i] :
( ( ( ~ ! [SY850: $i] :
~ ~ ( ~ ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SY850 )
| ~ ( r2_hidden @ SY850 @ SV151 ) ) )
= $true )
| ( ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SV259 )
= $true )
| ( ( SV259
= ( k3_tarski @ SV151 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8561]) ).
thf(8637,plain,
! [SV365: $i,SV259: $i,SV151: $i] :
( ( ( ~ ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SV365 )
| ~ ( r2_hidden @ SV365 @ SV151 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY850: $i] :
~ ~ ( ~ ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SY850 )
| ~ ( r2_hidden @ SY850 @ SV151 ) )
| ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SV259 ) ) )
= $true )
| ( ( SV259
= ( k3_tarski @ SV151 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8563]) ).
thf(8638,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) )
| ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) ) )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV163 )
= $false )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8564]) ).
thf(8639,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) )
| ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) ) )
| ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV163 ) ) )
= $true )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8566]) ).
thf(8640,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) )
| ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) ) )
| ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV163 ) ) )
= $true )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8567]) ).
thf(8641,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) )
| ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) ) )
| ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV163 ) ) )
= $true )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8567]) ).
thf(8642,plain,
! [SV318: $i,SV310: $i,SV267: $i,SV166: $i] :
( ( ( v1_xboole_0 @ SV166 )
= $true )
| ( ( ~ ~ ( v1_xboole_0 @ SV267 ) )
= $true )
| ( ( ~ ~ ( v1_xboole_0 @ SV310 ) )
= $true )
| ( ( ~ ~ ( v1_xboole_0 @ SV318 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k4_zfmisc_1 @ SV166 @ SV267 @ SV310 @ SV318 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8568]) ).
thf(8643,plain,
! [SV180: $i,SV270: $i,SV43: $i,SV350: $i] :
( ( ( r2_hidden @ SV350 @ SV43 )
= $true )
| ( ( r2_hidden @ SV350 @ SV270 )
= $false )
| ( ( SV270
= ( k3_xboole_0 @ SV43 @ SV180 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8569]) ).
thf(8644,plain,
! [SV43: $i,SV270: $i,SV180: $i,SV350: $i] :
( ( ( r2_hidden @ SV350 @ SV180 )
= $true )
| ( ( r2_hidden @ SV350 @ SV270 )
= $false )
| ( ( SV270
= ( k3_xboole_0 @ SV43 @ SV180 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8570]) ).
thf(8645,plain,
! [SV270: $i,SV180: $i,SV43: $i,SV350: $i] :
( ( ( r2_hidden @ SV350 @ SV43 )
= $false )
| ( ( ~ ( r2_hidden @ SV350 @ SV180 ) )
= $true )
| ( ( r2_hidden @ SV350 @ SV270 )
= $true )
| ( ( SV270
= ( k3_xboole_0 @ SV43 @ SV180 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8571]) ).
thf(8646,plain,
! [SV270: $i,SV43: $i,SV180: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV43 )
| ~ ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV180 ) ) )
= $true )
| ( ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV270 )
= $true )
| ( ( SV270
= ( k3_xboole_0 @ SV43 @ SV180 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8572]) ).
thf(8647,plain,
! [SV270: $i,SV43: $i,SV180: $i] :
( ( ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV180 )
= $false )
| ( ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV43 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV43 )
| ~ ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV180 ) )
| ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV270 ) ) )
= $true )
| ( ( SV270
= ( k3_xboole_0 @ SV43 @ SV180 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8574]) ).
thf(8648,plain,
! [SV341: $i,SV49: $i,SV338: $i] :
( ( ( ~ ~ ( ~ ( r2_hidden @ SV338 @ SV49 )
| ~ ( r2_hidden @ SV341 @ SV49 ) ) )
= $true )
| ( ( ~ ~ ( r2_hidden @ SV338 @ SV341 ) )
= $true )
| ( ( ~ ( ( SV338 != SV341 ) ) )
= $true )
| ( ( ~ ~ ( r2_hidden @ SV341 @ SV338 ) )
= $true )
| ( ( v2_ordinal1 @ SV49 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[8575]) ).
thf(8649,plain,
! [SV49: $i] :
( ( ( ~ ~ ( ~ ( r2_hidden @ ( sK26_SY444 @ SV49 ) @ SV49 )
| ~ ( r2_hidden @ ( sK31_SY844 @ SV49 ) @ SV49 ) ) )
= $false )
| ( ( v2_ordinal1 @ SV49 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8576]) ).
thf(8650,plain,
! [SV49: $i] :
( ( ( ~ ~ ( r2_hidden @ ( sK26_SY444 @ SV49 ) @ ( sK31_SY844 @ SV49 ) ) )
= $false )
| ( ( v2_ordinal1 @ SV49 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8576]) ).
thf(8651,plain,
! [SV273: $i,SV184: $i,SV50: $i,SV312: $i] :
( ( ( r2_hidden @ SV312 @ SV50 )
= $false )
| ( ( r2_hidden @ SV184 @ SV273 )
= $false )
| ( ( r2_hidden @ SV50 @ SV184 )
= $false )
| ( ( r2_hidden @ SV273 @ SV312 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8578]) ).
thf(8652,plain,
! [SV57: $i,SV187: $i] :
( ( ( ! [SY690: $i] :
~ ( ~ ( ~ ( r2_hidden @ SY690 @ SV187 )
| ( p1_s3_xboole_0 @ SY690 ) )
| ~ ( ~ ( p1_s3_xboole_0 @ SY690 )
| ( r2_hidden @ SY690 @ SV187 ) ) ) )
= $false )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $true )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $true )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8579]) ).
thf(8653,plain,
! [SV187: $i,SV57: $i] :
( ( ( ~ ( ~ ( ~ ( r2_hidden @ ( sK59_SY690 @ SV57 @ SV187 ) @ SV187 )
| ( p1_s3_xboole_0 @ ( sK59_SY690 @ SV57 @ SV187 ) ) )
| ~ ( ~ ( p1_s3_xboole_0 @ ( sK59_SY690 @ SV57 @ SV187 ) )
| ( r2_hidden @ ( sK59_SY690 @ SV57 @ SV187 ) @ SV187 ) ) ) )
= $false )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $true )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $false )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[8580]) ).
thf(8654,plain,
! [SV187: $i,SV57: $i] :
( ( ( ~ ( ~ ( ~ ( r2_hidden @ ( sK60_SY690 @ SV57 @ SV187 ) @ SV187 )
| ( p1_s3_xboole_0 @ ( sK60_SY690 @ SV57 @ SV187 ) ) )
| ~ ( ~ ( p1_s3_xboole_0 @ ( sK60_SY690 @ SV57 @ SV187 ) )
| ( r2_hidden @ ( sK60_SY690 @ SV57 @ SV187 ) @ SV187 ) ) ) )
= $false )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $false )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $true )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[8581]) ).
thf(8655,plain,
! [SV187: $i,SV57: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK58_SY690 @ SV57 @ SV187 ) @ SV187 )
| ( p1_s3_xboole_0 @ ( sK58_SY690 @ SV57 @ SV187 ) ) )
| ~ ( ~ ( p1_s3_xboole_0 @ ( sK58_SY690 @ SV57 @ SV187 ) )
| ( r2_hidden @ ( sK58_SY690 @ SV57 @ SV187 ) @ SV187 ) ) )
= $true )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $false )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $false )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8582]) ).
thf(8656,plain,
! [SV275: $i,SV61: $i,SV189: $i] :
( ( ( m1_pboole @ SV189 @ SV61 )
= $false )
| ( ( v1_xboole_0 @ SV61 )
= $true )
| ( ( v2_relat_1 @ SV189 )
= $false )
| ( ( ~ ( m1_subset_1 @ SV275 @ SV61 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k1_funct_1 @ SV189 @ SV275 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8583]) ).
thf(8657,plain,
! [SV64: $i,SV313: $i] :
( ( ( ~ ( r2_hidden @ SV313 @ SV64 ) )
= $false )
| ( ( r2_hidden @ SV64 @ SV313 )
= $true )
| ( ( SV64 = SV313 )
= $true )
| ( ( v3_ordinal1 @ SV313 )
= $false )
| ( ( v3_ordinal1 @ SV64 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8584]) ).
thf(8658,plain,
! [SV192: $i,SV65: $i,SV277: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ ( sK61_SY807 @ SV277 @ SV65 @ SV192 ) @ SV192 )
| ( SV65
!= ( sK61_SY807 @ SV277 @ SV65 @ SV192 ) ) )
| ~ ( ( ( k1_funct_1 @ SV277 @ ( sK61_SY807 @ SV277 @ SV65 @ SV192 ) )
!= k1_xboole_0 ) ) ) )
= $false )
| ( ( r2_hidden @ SV65 @ ( a_2_0_closure3 @ SV192 @ SV277 ) )
= $false )
| ( ( v1_xboole_0 @ SV192 )
= $true )
| ( ( m1_pboole @ SV277 @ SV192 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[8585]) ).
thf(8659,plain,
! [SV277: $i,SV65: $i,SV192: $i,SV368: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SV368 @ SV192 )
| ( SV65 != SV368 ) )
| ~ ( ( ( k1_funct_1 @ SV277 @ SV368 )
!= k1_xboole_0 ) ) ) )
= $true )
| ( ( r2_hidden @ SV65 @ ( a_2_0_closure3 @ SV192 @ SV277 ) )
= $true )
| ( ( v1_xboole_0 @ SV192 )
= $true )
| ( ( m1_pboole @ SV277 @ SV192 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[8586]) ).
thf(8660,plain,
! [SV198: $i,SV73: $i] :
( ( ( ~ ~ ( ~ ( r2_hidden @ ( sK62_SY704 @ SV73 @ SV198 ) @ SV198 )
| ~ ! [SY860: $i,SY861: $i] :
( ( sK62_SY704 @ SV73 @ SV198 )
!= ( k4_tarski @ SY860 @ SY861 ) ) ) )
= $false )
| ( ( r2_hidden @ ( sK46_SY482 @ SV198 @ SV73 ) @ SV73 )
= $true )
| ( ( ~ ! [SY707: $i,SY708: $i] :
~ ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 ) )
| ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 ) ) ) )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[8587]) ).
thf(8661,plain,
! [SV369: $i,SV367: $i,SV73: $i,SV198: $i] :
( ( ( ( sK46_SY482 @ SV198 @ SV73 )
!= ( k4_tarski @ SV367 @ SV369 ) )
= $true )
| ( ( ~ ! [SY704: $i] :
~ ~ ( ~ ( r2_hidden @ SY704 @ SV198 )
| ~ ! [SX3: $i,SX4: $i] :
( SY704
!= ( k4_tarski @ SX3 @ SX4 ) ) ) )
= $true )
| ( ( ~ ! [SY707: $i,SY708: $i] :
~ ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 ) )
| ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 ) ) ) )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[8588]) ).
thf(8662,plain,
! [SV324: $i,SV315: $i,SV284: $i,SV204: $i,SV80: $i] :
( ( ( ~ ( r2_hidden @ SV80 @ SV204 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV204 @ SV284 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV284 @ SV315 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV315 @ SV324 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV324 @ SV80 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[8589]) ).
thf(8663,plain,
! [SV286: $i,SV82: $i,SV206: $i] :
( ( ( ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV82 )
| ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV206 ) )
= $true )
| ( ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV286 )
= $true )
| ( ( SV286
= ( k2_xboole_0 @ SV82 @ SV206 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8590]) ).
thf(8664,plain,
! [SV286: $i,SV82: $i,SV206: $i] :
( ( ( ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV82 )
| ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV206 ) )
= $true )
| ( ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV82 )
= $false )
| ( ( SV286
= ( k2_xboole_0 @ SV82 @ SV206 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8592]) ).
thf(8665,plain,
! [SV286: $i,SV82: $i,SV206: $i] :
( ( ( ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV82 )
| ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV206 ) )
= $true )
| ( ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV206 )
= $false )
| ( ( SV286
= ( k2_xboole_0 @ SV82 @ SV206 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8594]) ).
thf(8666,plain,
! [SV337: $i,SV325: $i,SV316: $i,SV287: $i,SV207: $i,SV84: $i] :
( ( ( ~ ~ ( ~ ( r2_hidden @ SV84 @ SV207 )
| ~ ( r2_hidden @ SV207 @ SV287 ) )
| ~ ( r2_hidden @ SV287 @ SV316 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV316 @ SV325 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV325 @ SV337 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV337 @ SV84 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8596]) ).
thf(8667,plain,
! [SV93: $i] :
( ( ( ~ ( r2_hidden @ ( sK47_SY530 @ SV93 ) @ SV93 )
| ~ ( r2_hidden @ ( sK50_SY854 @ SV93 ) @ SV93 ) )
= $false )
| ( ( v1_realset1 @ SV93 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8597]) ).
thf(8668,plain,
! [SV93: $i] :
( ( ( ( sK47_SY530 @ SV93 )
= ( sK50_SY854 @ SV93 ) )
= $false )
| ( ( v1_realset1 @ SV93 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8598]) ).
thf(8669,plain,
! [SV361: $i,SV93: $i,SV356: $i] :
( ( ( ~ ( ~ ( r2_hidden @ SV356 @ SV93 )
| ~ ( r2_hidden @ SV361 @ SV93 ) ) )
= $false )
| ( ( ~ ( ( SV356 != SV361 ) ) )
= $true )
| ( ( ~ ( v1_realset1 @ SV93 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8599]) ).
thf(8670,plain,
! [SV103: $i,SV221: $i,SV362: $i] :
( ( ( r2_hidden @ SV362 @ SV221 )
= $false )
| ( ( ~ ( r2_hidden @ SV362 @ ( sK33_SY736 @ SV103 @ SV221 ) ) )
= $true )
| ( ( r2_hidden @ SV103 @ SV221 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8600]) ).
thf(8671,plain,
! [SV222: $i,SV293: $i,SV104: $i,SV352: $i] :
( ( ( r2_hidden @ SV352 @ SV104 )
= $true )
| ( ( r2_hidden @ SV352 @ SV293 )
= $false )
| ( ( SV293
= ( k4_xboole_0 @ SV104 @ SV222 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8601]) ).
thf(8672,plain,
! [SV104: $i,SV293: $i,SV222: $i,SV352: $i] :
( ( ( ~ ( r2_hidden @ SV352 @ SV222 ) )
= $true )
| ( ( r2_hidden @ SV352 @ SV293 )
= $false )
| ( ( SV293
= ( k4_xboole_0 @ SV104 @ SV222 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8602]) ).
thf(8673,plain,
! [SV293: $i,SV222: $i,SV104: $i,SV352: $i] :
( ( ( r2_hidden @ SV352 @ SV104 )
= $false )
| ( ( ~ ~ ( r2_hidden @ SV352 @ SV222 ) )
= $true )
| ( ( r2_hidden @ SV352 @ SV293 )
= $true )
| ( ( SV293
= ( k4_xboole_0 @ SV104 @ SV222 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8603]) ).
thf(8674,plain,
! [SV293: $i,SV104: $i,SV222: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV104 )
| ~ ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV222 ) ) )
= $true )
| ( ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV293 )
= $true )
| ( ( SV293
= ( k4_xboole_0 @ SV104 @ SV222 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8604]) ).
thf(8675,plain,
! [SV293: $i,SV104: $i,SV222: $i] :
( ( ( ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV222 ) )
= $false )
| ( ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV104 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV104 )
| ~ ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV222 ) )
| ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV293 ) ) )
= $true )
| ( ( SV293
= ( k4_xboole_0 @ SV104 @ SV222 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8606]) ).
thf(8676,plain,
! [SV228: $i,SV296: $i,SV110: $i] :
( ( ( r3_pboole @ SV110 @ SV296 @ SV228 )
= $false )
| ( ( r3_pboole @ SV110 @ SV228 @ SV296 )
= $false )
| ( ( m1_pboole @ SV228 @ SV110 )
= $false )
| ( ( v1_xboole_0 @ SV110 )
= $true )
| ( ( m1_pboole @ SV296 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8607]) ).
thf(8677,plain,
! [SV129: $i,SV239: $i,SV332: $i] :
( ( ( ~ ( r2_hidden @ ( sK42_SY840 @ SV332 @ SV239 @ SV129 ) @ SV332 )
| ( r2_hidden @ ( sK42_SY840 @ SV332 @ SV239 @ SV129 ) @ SV239 ) )
= $false )
| ( ( r2_hidden @ ( sK42_SY840 @ SV332 @ SV239 @ SV129 ) @ SV239 )
= $true )
| ( ( SV239 = SV332 )
= $true )
| ( ( m1_subset_1 @ SV332 @ ( k1_zfmisc_1 @ SV129 ) )
= $false )
| ( ( m1_subset_1 @ SV239 @ ( k1_zfmisc_1 @ SV129 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8611]) ).
thf(8678,plain,
! [SV129: $i,SV239: $i,SV332: $i] :
( ( ( ~ ( r2_hidden @ ( sK42_SY840 @ SV332 @ SV239 @ SV129 ) @ SV332 ) )
= $false )
| ( ( r2_hidden @ ( sK42_SY840 @ SV332 @ SV239 @ SV129 ) @ SV332 )
= $false )
| ( ( SV239 = SV332 )
= $true )
| ( ( m1_subset_1 @ SV332 @ ( k1_zfmisc_1 @ SV129 ) )
= $false )
| ( ( m1_subset_1 @ SV239 @ ( k1_zfmisc_1 @ SV129 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8612]) ).
thf(8679,plain,
! [SV129: $i,SV239: $i,SV332: $i] :
( ( ( r2_hidden @ ( sK42_SY840 @ SV332 @ SV239 @ SV129 ) @ SV239 )
= $false )
| ( ( r2_hidden @ ( sK42_SY840 @ SV332 @ SV239 @ SV129 ) @ SV332 )
= $false )
| ( ( SV239 = SV332 )
= $true )
| ( ( m1_subset_1 @ SV332 @ ( k1_zfmisc_1 @ SV129 ) )
= $false )
| ( ( m1_subset_1 @ SV239 @ ( k1_zfmisc_1 @ SV129 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8612]) ).
thf(8680,plain,
! [SV133: $i,SV242: $i] :
( ( ( ~ ( r2_hidden @ ( sK55_SY758 @ SV242 @ SV133 ) @ SV133 ) )
= $false )
| ( ( SV133
= ( k1_tarski @ SV242 ) )
= $true )
| ( ( SV133 = k1_xboole_0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8613]) ).
thf(8681,plain,
! [SV133: $i,SV242: $i] :
( ( ( ~ ( ( ( sK55_SY758 @ SV242 @ SV133 )
!= SV242 ) ) )
= $false )
| ( ( SV133
= ( k1_tarski @ SV242 ) )
= $true )
| ( ( SV133 = k1_xboole_0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8613]) ).
thf(8682,plain,
! [SV299: $i,SV243: $i,SV134: $i] :
( ( ( v1_xboole_0 @ ( k3_zfmisc_1 @ SV134 @ SV243 @ SV299 ) )
= $false )
| ( ( v1_xboole_0 @ SV243 )
= $true )
| ( ( v1_xboole_0 @ SV134 )
= $true )
| ( ( v1_xboole_0 @ SV299 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8614]) ).
thf(8683,plain,
! [SV136: $i,SV245: $i,SV333: $i] :
( ( ( ~ ( r2_hidden @ ( sK43_SY841 @ SV333 @ SV245 @ SV136 ) @ SV333 )
| ( r2_hidden @ ( sK43_SY841 @ SV333 @ SV245 @ SV136 ) @ SV245 ) )
= $false )
| ( ( r2_hidden @ ( sK43_SY841 @ SV333 @ SV245 @ SV136 ) @ SV245 )
= $true )
| ( ( SV245 = SV333 )
= $true )
| ( ( m1_subset_1 @ SV333 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV136 ) ) )
= $false )
| ( ( m1_subset_1 @ SV245 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV136 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8615]) ).
thf(8684,plain,
! [SV136: $i,SV245: $i,SV333: $i] :
( ( ( ~ ( r2_hidden @ ( sK43_SY841 @ SV333 @ SV245 @ SV136 ) @ SV333 ) )
= $false )
| ( ( r2_hidden @ ( sK43_SY841 @ SV333 @ SV245 @ SV136 ) @ SV333 )
= $false )
| ( ( SV245 = SV333 )
= $true )
| ( ( m1_subset_1 @ SV333 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV136 ) ) )
= $false )
| ( ( m1_subset_1 @ SV245 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV136 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8616]) ).
thf(8685,plain,
! [SV136: $i,SV245: $i,SV333: $i] :
( ( ( r2_hidden @ ( sK43_SY841 @ SV333 @ SV245 @ SV136 ) @ SV245 )
= $false )
| ( ( r2_hidden @ ( sK43_SY841 @ SV333 @ SV245 @ SV136 ) @ SV333 )
= $false )
| ( ( SV245 = SV333 )
= $true )
| ( ( m1_subset_1 @ SV333 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV136 ) ) )
= $false )
| ( ( m1_subset_1 @ SV245 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV136 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8616]) ).
thf(8686,plain,
! [SV301: $i,SV140: $i,SV249: $i] :
( ( ( ( ( sK40_SY821 @ SV249 @ SV140 @ SV301 )
= SV140 )
| ( ( sK40_SY821 @ SV249 @ SV140 @ SV301 )
= SV249 ) )
= $true )
| ( ( r2_hidden @ ( sK40_SY821 @ SV249 @ SV140 @ SV301 ) @ SV301 )
= $true )
| ( ( SV301
= ( k2_tarski @ SV140 @ SV249 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8617]) ).
thf(8687,plain,
! [SV301: $i,SV140: $i,SV249: $i] :
( ( ( ( ( sK40_SY821 @ SV249 @ SV140 @ SV301 )
= SV140 )
| ( ( sK40_SY821 @ SV249 @ SV140 @ SV301 )
= SV249 ) )
= $true )
| ( ( ( sK40_SY821 @ SV249 @ SV140 @ SV301 )
= SV140 )
= $false )
| ( ( SV301
= ( k2_tarski @ SV140 @ SV249 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8619]) ).
thf(8688,plain,
! [SV301: $i,SV140: $i,SV249: $i] :
( ( ( ( ( sK40_SY821 @ SV249 @ SV140 @ SV301 )
= SV140 )
| ( ( sK40_SY821 @ SV249 @ SV140 @ SV301 )
= SV249 ) )
= $true )
| ( ( ( sK40_SY821 @ SV249 @ SV140 @ SV301 )
= SV249 )
= $false )
| ( ( SV301
= ( k2_tarski @ SV140 @ SV249 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8621]) ).
thf(8689,plain,
! [SV250: $i,SV302: $i,SV141: $i] :
( ( ( r2_hidden @ SV141 @ SV302 )
= $true )
| ( ( r2_hidden @ SV141 @ SV250 )
= $true )
| ( ( r2_hidden @ SV141 @ ( k5_xboole_0 @ SV250 @ SV302 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8623]) ).
thf(8690,plain,
! [SV148: $i,SV256: $i,SV364: $i] :
( ( ( ~ ( r2_hidden @ SV364 @ SV256 )
| ! [SY855: $i] :
( ~ ( r2_hidden @ SY855 @ SV148 )
| ( r2_hidden @ SV364 @ SY855 ) ) )
= $true )
| ( ( SV256
= ( k1_setfam_1 @ SV148 ) )
= $false )
| ( ( SV148 = k1_xboole_0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8627]) ).
thf(8691,plain,
! [SV256: $i,SV364: $i,SV148: $i] :
( ( ( ~ ! [SY856: $i] :
( ~ ( r2_hidden @ SY856 @ SV148 )
| ( r2_hidden @ SV364 @ SY856 ) )
| ( r2_hidden @ SV364 @ SV256 ) )
= $true )
| ( ( SV256
= ( k1_setfam_1 @ SV148 ) )
= $false )
| ( ( SV148 = k1_xboole_0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8628]) ).
thf(8692,plain,
! [SV256: $i,SV148: $i] :
( ( ( ~ ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ SV256 )
| ! [SY857: $i] :
( ~ ( r2_hidden @ SY857 @ SV148 )
| ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ SY857 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY858: $i] :
( ~ ( r2_hidden @ SY858 @ SV148 )
| ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ SY858 ) )
| ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ SV256 ) ) )
= $true )
| ( ( SV256
= ( k1_setfam_1 @ SV148 ) )
= $true )
| ( ( SV148 = k1_xboole_0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8629]) ).
thf(8693,plain,
! [SV359: $i,SV258: $i,SV150: $i] :
( ( ( r1_xboole_0 @ SV150 @ SV258 )
= $false )
| ( ( r2_hidden @ SV359 @ SV150 )
= $false )
| ( ( r2_hidden @ SV359 @ SV258 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8633]) ).
thf(8694,plain,
! [SV151: $i,SV259: $i,SV349: $i] :
( ( ( ~ ( r2_hidden @ SV349 @ ( sK57_SY847 @ SV259 @ SV151 @ SV349 ) )
| ~ ( r2_hidden @ ( sK57_SY847 @ SV259 @ SV151 @ SV349 ) @ SV151 ) )
= $false )
| ( ( r2_hidden @ SV349 @ SV259 )
= $false )
| ( ( SV259
= ( k3_tarski @ SV151 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8634]) ).
thf(8695,plain,
! [SV259: $i,SV151: $i,SV366: $i,SV349: $i] :
( ( ( ~ ( r2_hidden @ SV349 @ SV366 )
| ~ ( r2_hidden @ SV366 @ SV151 ) )
= $true )
| ( ( r2_hidden @ SV349 @ SV259 )
= $true )
| ( ( SV259
= ( k3_tarski @ SV151 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8635]) ).
thf(8696,plain,
! [SV259: $i,SV151: $i] :
( ( ( ! [SY850: $i] :
~ ~ ( ~ ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SY850 )
| ~ ( r2_hidden @ SY850 @ SV151 ) ) )
= $false )
| ( ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SV259 )
= $true )
| ( ( SV259
= ( k3_tarski @ SV151 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8636]) ).
thf(8697,plain,
! [SV365: $i,SV259: $i,SV151: $i] :
( ( ( ~ ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SV365 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV365 @ SV151 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY850: $i] :
~ ~ ( ~ ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SY850 )
| ~ ( r2_hidden @ SY850 @ SV151 ) )
| ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SV259 ) ) )
= $true )
| ( ( SV259
= ( k3_tarski @ SV151 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[8637]) ).
thf(8698,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) ) )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV163 )
= $false )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8638]) ).
thf(8699,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) ) )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV163 )
= $false )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8638]) ).
thf(8700,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) )
| ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) ) )
| ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV163 ) ) )
= $true )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8639]) ).
thf(8701,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) )
| ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) ) )
| ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV163 ) ) )
= $true )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8639]) ).
thf(8702,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) )
| ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) ) )
| ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV163 ) ) )
= $true )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8640]) ).
thf(8703,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ~ ( ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) )
| ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) ) )
| ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV163 ) )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $false )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8641]) ).
thf(8704,plain,
! [SV318: $i,SV310: $i,SV166: $i,SV267: $i] :
( ( ( ~ ( v1_xboole_0 @ SV267 ) )
= $false )
| ( ( v1_xboole_0 @ SV166 )
= $true )
| ( ( ~ ~ ( v1_xboole_0 @ SV310 ) )
= $true )
| ( ( ~ ~ ( v1_xboole_0 @ SV318 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k4_zfmisc_1 @ SV166 @ SV267 @ SV310 @ SV318 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8642]) ).
thf(8705,plain,
! [SV270: $i,SV43: $i,SV180: $i,SV350: $i] :
( ( ( r2_hidden @ SV350 @ SV180 )
= $false )
| ( ( r2_hidden @ SV350 @ SV43 )
= $false )
| ( ( r2_hidden @ SV350 @ SV270 )
= $true )
| ( ( SV270
= ( k3_xboole_0 @ SV43 @ SV180 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8645]) ).
thf(8706,plain,
! [SV270: $i,SV43: $i,SV180: $i] :
( ( ( ~ ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV43 )
| ~ ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV180 ) )
= $false )
| ( ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV270 )
= $true )
| ( ( SV270
= ( k3_xboole_0 @ SV43 @ SV180 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8646]) ).
thf(8707,plain,
! [SV270: $i,SV43: $i,SV180: $i] :
( ( ( ~ ~ ( ~ ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV43 )
| ~ ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV180 ) )
| ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV270 ) )
= $false )
| ( ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV43 )
= $false )
| ( ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV180 )
= $false )
| ( ( SV270
= ( k3_xboole_0 @ SV43 @ SV180 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8647]) ).
thf(8708,plain,
! [SV341: $i,SV49: $i,SV338: $i] :
( ( ( ~ ( ~ ( r2_hidden @ SV338 @ SV49 )
| ~ ( r2_hidden @ SV341 @ SV49 ) ) )
= $false )
| ( ( ~ ~ ( r2_hidden @ SV338 @ SV341 ) )
= $true )
| ( ( ~ ( ( SV338 != SV341 ) ) )
= $true )
| ( ( ~ ~ ( r2_hidden @ SV341 @ SV338 ) )
= $true )
| ( ( v2_ordinal1 @ SV49 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8648]) ).
thf(8709,plain,
! [SV49: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK26_SY444 @ SV49 ) @ SV49 )
| ~ ( r2_hidden @ ( sK31_SY844 @ SV49 ) @ SV49 ) ) )
= $true )
| ( ( v2_ordinal1 @ SV49 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8649]) ).
thf(8710,plain,
! [SV49: $i] :
( ( ( ~ ( r2_hidden @ ( sK26_SY444 @ SV49 ) @ ( sK31_SY844 @ SV49 ) ) )
= $true )
| ( ( v2_ordinal1 @ SV49 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8650]) ).
thf(8711,plain,
! [SV187: $i,SV57: $i] :
( ( ( ~ ( ~ ( ~ ( r2_hidden @ ( sK63_SY690 @ SV57 @ SV187 ) @ SV187 )
| ( p1_s3_xboole_0 @ ( sK63_SY690 @ SV57 @ SV187 ) ) )
| ~ ( ~ ( p1_s3_xboole_0 @ ( sK63_SY690 @ SV57 @ SV187 ) )
| ( r2_hidden @ ( sK63_SY690 @ SV57 @ SV187 ) @ SV187 ) ) ) )
= $false )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $true )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $true )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[8652]) ).
thf(8712,plain,
! [SV187: $i,SV57: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK59_SY690 @ SV57 @ SV187 ) @ SV187 )
| ( p1_s3_xboole_0 @ ( sK59_SY690 @ SV57 @ SV187 ) ) )
| ~ ( ~ ( p1_s3_xboole_0 @ ( sK59_SY690 @ SV57 @ SV187 ) )
| ( r2_hidden @ ( sK59_SY690 @ SV57 @ SV187 ) @ SV187 ) ) )
= $true )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $true )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $false )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8653]) ).
thf(8713,plain,
! [SV187: $i,SV57: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK60_SY690 @ SV57 @ SV187 ) @ SV187 )
| ( p1_s3_xboole_0 @ ( sK60_SY690 @ SV57 @ SV187 ) ) )
| ~ ( ~ ( p1_s3_xboole_0 @ ( sK60_SY690 @ SV57 @ SV187 ) )
| ( r2_hidden @ ( sK60_SY690 @ SV57 @ SV187 ) @ SV187 ) ) )
= $true )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $false )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $true )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8654]) ).
thf(8714,plain,
! [SV187: $i,SV57: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK58_SY690 @ SV57 @ SV187 ) @ SV187 )
| ( p1_s3_xboole_0 @ ( sK58_SY690 @ SV57 @ SV187 ) ) ) )
= $true )
| ( ( ~ ( ~ ( p1_s3_xboole_0 @ ( sK58_SY690 @ SV57 @ SV187 ) )
| ( r2_hidden @ ( sK58_SY690 @ SV57 @ SV187 ) @ SV187 ) ) )
= $true )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $false )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $false )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[8655]) ).
thf(8715,plain,
! [SV189: $i,SV61: $i,SV275: $i] :
( ( ( m1_subset_1 @ SV275 @ SV61 )
= $false )
| ( ( v2_relat_1 @ SV189 )
= $false )
| ( ( v1_xboole_0 @ SV61 )
= $true )
| ( ( m1_pboole @ SV189 @ SV61 )
= $false )
| ( ( ~ ( v1_xboole_0 @ ( k1_funct_1 @ SV189 @ SV275 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8656]) ).
thf(8716,plain,
! [SV64: $i,SV313: $i] :
( ( ( r2_hidden @ SV313 @ SV64 )
= $true )
| ( ( r2_hidden @ SV64 @ SV313 )
= $true )
| ( ( SV64 = SV313 )
= $true )
| ( ( v3_ordinal1 @ SV313 )
= $false )
| ( ( v3_ordinal1 @ SV64 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8657]) ).
thf(8717,plain,
! [SV192: $i,SV65: $i,SV277: $i] :
( ( ( ~ ( ~ ~ ( ~ ( m1_subset_1 @ ( sK61_SY807 @ SV277 @ SV65 @ SV192 ) @ SV192 )
| ( SV65
!= ( sK61_SY807 @ SV277 @ SV65 @ SV192 ) ) )
| ~ ( ( ( k1_funct_1 @ SV277 @ ( sK61_SY807 @ SV277 @ SV65 @ SV192 ) )
!= k1_xboole_0 ) ) ) )
= $true )
| ( ( r2_hidden @ SV65 @ ( a_2_0_closure3 @ SV192 @ SV277 ) )
= $false )
| ( ( v1_xboole_0 @ SV192 )
= $true )
| ( ( m1_pboole @ SV277 @ SV192 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8658]) ).
thf(8718,plain,
! [SV277: $i,SV65: $i,SV192: $i,SV368: $i] :
( ( ( ~ ( ~ ~ ( ~ ( m1_subset_1 @ SV368 @ SV192 )
| ( SV65 != SV368 ) )
| ~ ( ( ( k1_funct_1 @ SV277 @ SV368 )
!= k1_xboole_0 ) ) ) )
= $false )
| ( ( r2_hidden @ SV65 @ ( a_2_0_closure3 @ SV192 @ SV277 ) )
= $true )
| ( ( v1_xboole_0 @ SV192 )
= $true )
| ( ( m1_pboole @ SV277 @ SV192 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8659]) ).
thf(8719,plain,
! [SV198: $i,SV73: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK62_SY704 @ SV73 @ SV198 ) @ SV198 )
| ~ ! [SY860: $i,SY861: $i] :
( ( sK62_SY704 @ SV73 @ SV198 )
!= ( k4_tarski @ SY860 @ SY861 ) ) ) )
= $true )
| ( ( r2_hidden @ ( sK46_SY482 @ SV198 @ SV73 ) @ SV73 )
= $true )
| ( ( ~ ! [SY707: $i,SY708: $i] :
~ ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 ) )
| ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 ) ) ) )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8660]) ).
thf(8720,plain,
! [SV369: $i,SV367: $i,SV73: $i,SV198: $i] :
( ( ( ( sK46_SY482 @ SV198 @ SV73 )
= ( k4_tarski @ SV367 @ SV369 ) )
= $false )
| ( ( ~ ! [SY704: $i] :
~ ~ ( ~ ( r2_hidden @ SY704 @ SV198 )
| ~ ! [SX3: $i,SX4: $i] :
( SY704
!= ( k4_tarski @ SX3 @ SX4 ) ) ) )
= $true )
| ( ( ~ ! [SY707: $i,SY708: $i] :
~ ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 ) )
| ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 ) ) ) )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8661]) ).
thf(8721,plain,
! [SV324: $i,SV315: $i,SV284: $i,SV204: $i,SV80: $i] :
( ( ( r2_hidden @ SV80 @ SV204 )
= $false )
| ( ( ~ ( r2_hidden @ SV204 @ SV284 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV284 @ SV315 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV315 @ SV324 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV324 @ SV80 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8662]) ).
thf(8722,plain,
! [SV286: $i,SV82: $i,SV206: $i] :
( ( ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV82 )
= $true )
| ( ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV206 )
= $true )
| ( ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV286 )
= $true )
| ( ( SV286
= ( k2_xboole_0 @ SV82 @ SV206 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[8663]) ).
thf(8723,plain,
! [SV286: $i,SV82: $i,SV206: $i] :
( ( ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV82 )
= $true )
| ( ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV206 )
= $true )
| ( ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV82 )
= $false )
| ( ( SV286
= ( k2_xboole_0 @ SV82 @ SV206 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[8664]) ).
thf(8724,plain,
! [SV286: $i,SV82: $i,SV206: $i] :
( ( ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV82 )
= $true )
| ( ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV206 )
= $true )
| ( ( r2_hidden @ ( sK38_SY813 @ SV206 @ SV82 @ SV286 ) @ SV206 )
= $false )
| ( ( SV286
= ( k2_xboole_0 @ SV82 @ SV206 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[8665]) ).
thf(8725,plain,
! [SV337: $i,SV325: $i,SV316: $i,SV287: $i,SV207: $i,SV84: $i] :
( ( ( ~ ~ ( ~ ( r2_hidden @ SV84 @ SV207 )
| ~ ( r2_hidden @ SV207 @ SV287 ) ) )
= $true )
| ( ( ~ ( r2_hidden @ SV287 @ SV316 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV316 @ SV325 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV325 @ SV337 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV337 @ SV84 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[8666]) ).
thf(8726,plain,
! [SV93: $i] :
( ( ( ~ ( r2_hidden @ ( sK47_SY530 @ SV93 ) @ SV93 ) )
= $false )
| ( ( v1_realset1 @ SV93 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8667]) ).
thf(8727,plain,
! [SV93: $i] :
( ( ( ~ ( r2_hidden @ ( sK50_SY854 @ SV93 ) @ SV93 ) )
= $false )
| ( ( v1_realset1 @ SV93 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8667]) ).
thf(8728,plain,
! [SV361: $i,SV93: $i,SV356: $i] :
( ( ( ~ ( r2_hidden @ SV356 @ SV93 )
| ~ ( r2_hidden @ SV361 @ SV93 ) )
= $true )
| ( ( ~ ( ( SV356 != SV361 ) ) )
= $true )
| ( ( ~ ( v1_realset1 @ SV93 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8669]) ).
thf(8729,plain,
! [SV221: $i,SV103: $i,SV362: $i] :
( ( ( r2_hidden @ SV362 @ ( sK33_SY736 @ SV103 @ SV221 ) )
= $false )
| ( ( r2_hidden @ SV362 @ SV221 )
= $false )
| ( ( r2_hidden @ SV103 @ SV221 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8670]) ).
thf(8730,plain,
! [SV104: $i,SV293: $i,SV222: $i,SV352: $i] :
( ( ( r2_hidden @ SV352 @ SV222 )
= $false )
| ( ( r2_hidden @ SV352 @ SV293 )
= $false )
| ( ( SV293
= ( k4_xboole_0 @ SV104 @ SV222 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8672]) ).
thf(8731,plain,
! [SV293: $i,SV104: $i,SV222: $i,SV352: $i] :
( ( ( ~ ( r2_hidden @ SV352 @ SV222 ) )
= $false )
| ( ( r2_hidden @ SV352 @ SV104 )
= $false )
| ( ( r2_hidden @ SV352 @ SV293 )
= $true )
| ( ( SV293
= ( k4_xboole_0 @ SV104 @ SV222 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8673]) ).
thf(8732,plain,
! [SV293: $i,SV104: $i,SV222: $i] :
( ( ( ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV104 )
| ~ ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV222 ) )
= $false )
| ( ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV293 )
= $true )
| ( ( SV293
= ( k4_xboole_0 @ SV104 @ SV222 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8674]) ).
thf(8733,plain,
! [SV293: $i,SV104: $i,SV222: $i] :
( ( ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV222 )
= $true )
| ( ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV104 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV104 )
| ~ ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV222 ) )
| ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV293 ) ) )
= $true )
| ( ( SV293
= ( k4_xboole_0 @ SV104 @ SV222 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8675]) ).
thf(8734,plain,
! [SV129: $i,SV239: $i,SV332: $i] :
( ( ( ~ ( r2_hidden @ ( sK42_SY840 @ SV332 @ SV239 @ SV129 ) @ SV332 ) )
= $false )
| ( ( r2_hidden @ ( sK42_SY840 @ SV332 @ SV239 @ SV129 ) @ SV239 )
= $true )
| ( ( SV239 = SV332 )
= $true )
| ( ( m1_subset_1 @ SV332 @ ( k1_zfmisc_1 @ SV129 ) )
= $false )
| ( ( m1_subset_1 @ SV239 @ ( k1_zfmisc_1 @ SV129 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8677]) ).
thf(8735,plain,
! [SV129: $i,SV239: $i,SV332: $i] :
( ( ( r2_hidden @ ( sK42_SY840 @ SV332 @ SV239 @ SV129 ) @ SV239 )
= $false )
| ( ( r2_hidden @ ( sK42_SY840 @ SV332 @ SV239 @ SV129 ) @ SV239 )
= $true )
| ( ( SV239 = SV332 )
= $true )
| ( ( m1_subset_1 @ SV332 @ ( k1_zfmisc_1 @ SV129 ) )
= $false )
| ( ( m1_subset_1 @ SV239 @ ( k1_zfmisc_1 @ SV129 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8677]) ).
thf(8736,plain,
! [SV129: $i,SV239: $i,SV332: $i] :
( ( ( r2_hidden @ ( sK42_SY840 @ SV332 @ SV239 @ SV129 ) @ SV332 )
= $true )
| ( ( r2_hidden @ ( sK42_SY840 @ SV332 @ SV239 @ SV129 ) @ SV332 )
= $false )
| ( ( SV239 = SV332 )
= $true )
| ( ( m1_subset_1 @ SV332 @ ( k1_zfmisc_1 @ SV129 ) )
= $false )
| ( ( m1_subset_1 @ SV239 @ ( k1_zfmisc_1 @ SV129 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8678]) ).
thf(8737,plain,
! [SV133: $i,SV242: $i] :
( ( ( r2_hidden @ ( sK55_SY758 @ SV242 @ SV133 ) @ SV133 )
= $true )
| ( ( SV133
= ( k1_tarski @ SV242 ) )
= $true )
| ( ( SV133 = k1_xboole_0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8680]) ).
thf(8738,plain,
! [SV133: $i,SV242: $i] :
( ( ( ( sK55_SY758 @ SV242 @ SV133 )
!= SV242 )
= $true )
| ( ( SV133
= ( k1_tarski @ SV242 ) )
= $true )
| ( ( SV133 = k1_xboole_0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8681]) ).
thf(8739,plain,
! [SV136: $i,SV245: $i,SV333: $i] :
( ( ( ~ ( r2_hidden @ ( sK43_SY841 @ SV333 @ SV245 @ SV136 ) @ SV333 ) )
= $false )
| ( ( r2_hidden @ ( sK43_SY841 @ SV333 @ SV245 @ SV136 ) @ SV245 )
= $true )
| ( ( SV245 = SV333 )
= $true )
| ( ( m1_subset_1 @ SV333 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV136 ) ) )
= $false )
| ( ( m1_subset_1 @ SV245 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV136 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8683]) ).
thf(8740,plain,
! [SV136: $i,SV245: $i,SV333: $i] :
( ( ( r2_hidden @ ( sK43_SY841 @ SV333 @ SV245 @ SV136 ) @ SV245 )
= $false )
| ( ( r2_hidden @ ( sK43_SY841 @ SV333 @ SV245 @ SV136 ) @ SV245 )
= $true )
| ( ( SV245 = SV333 )
= $true )
| ( ( m1_subset_1 @ SV333 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV136 ) ) )
= $false )
| ( ( m1_subset_1 @ SV245 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV136 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8683]) ).
thf(8741,plain,
! [SV136: $i,SV245: $i,SV333: $i] :
( ( ( r2_hidden @ ( sK43_SY841 @ SV333 @ SV245 @ SV136 ) @ SV333 )
= $true )
| ( ( r2_hidden @ ( sK43_SY841 @ SV333 @ SV245 @ SV136 ) @ SV333 )
= $false )
| ( ( SV245 = SV333 )
= $true )
| ( ( m1_subset_1 @ SV333 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV136 ) ) )
= $false )
| ( ( m1_subset_1 @ SV245 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV136 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8684]) ).
thf(8742,plain,
! [SV301: $i,SV140: $i,SV249: $i] :
( ( ( ( sK40_SY821 @ SV249 @ SV140 @ SV301 )
= SV140 )
= $true )
| ( ( ( sK40_SY821 @ SV249 @ SV140 @ SV301 )
= SV249 )
= $true )
| ( ( r2_hidden @ ( sK40_SY821 @ SV249 @ SV140 @ SV301 ) @ SV301 )
= $true )
| ( ( SV301
= ( k2_tarski @ SV140 @ SV249 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[8686]) ).
thf(8743,plain,
! [SV301: $i,SV140: $i,SV249: $i] :
( ( ( ( sK40_SY821 @ SV249 @ SV140 @ SV301 )
= SV140 )
= $true )
| ( ( ( sK40_SY821 @ SV249 @ SV140 @ SV301 )
= SV249 )
= $true )
| ( ( ( sK40_SY821 @ SV249 @ SV140 @ SV301 )
= SV140 )
= $false )
| ( ( SV301
= ( k2_tarski @ SV140 @ SV249 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[8687]) ).
thf(8744,plain,
! [SV301: $i,SV140: $i,SV249: $i] :
( ( ( ( sK40_SY821 @ SV249 @ SV140 @ SV301 )
= SV140 )
= $true )
| ( ( ( sK40_SY821 @ SV249 @ SV140 @ SV301 )
= SV249 )
= $true )
| ( ( ( sK40_SY821 @ SV249 @ SV140 @ SV301 )
= SV249 )
= $false )
| ( ( SV301
= ( k2_tarski @ SV140 @ SV249 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[8688]) ).
thf(8745,plain,
! [SV148: $i,SV256: $i,SV364: $i] :
( ( ( ~ ( r2_hidden @ SV364 @ SV256 ) )
= $true )
| ( ( ! [SY855: $i] :
( ~ ( r2_hidden @ SY855 @ SV148 )
| ( r2_hidden @ SV364 @ SY855 ) ) )
= $true )
| ( ( SV256
= ( k1_setfam_1 @ SV148 ) )
= $false )
| ( ( SV148 = k1_xboole_0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[8690]) ).
thf(8746,plain,
! [SV256: $i,SV364: $i,SV148: $i] :
( ( ( ~ ! [SY856: $i] :
( ~ ( r2_hidden @ SY856 @ SV148 )
| ( r2_hidden @ SV364 @ SY856 ) ) )
= $true )
| ( ( r2_hidden @ SV364 @ SV256 )
= $true )
| ( ( SV256
= ( k1_setfam_1 @ SV148 ) )
= $false )
| ( ( SV148 = k1_xboole_0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[8691]) ).
thf(8747,plain,
! [SV256: $i,SV148: $i] :
( ( ( ~ ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ SV256 ) )
= $false )
| ( ( ~ ( ~ ! [SY858: $i] :
( ~ ( r2_hidden @ SY858 @ SV148 )
| ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ SY858 ) )
| ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ SV256 ) ) )
= $true )
| ( ( SV256
= ( k1_setfam_1 @ SV148 ) )
= $true )
| ( ( SV148 = k1_xboole_0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8692]) ).
thf(8748,plain,
! [SV256: $i,SV148: $i] :
( ( ( ! [SY857: $i] :
( ~ ( r2_hidden @ SY857 @ SV148 )
| ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ SY857 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY858: $i] :
( ~ ( r2_hidden @ SY858 @ SV148 )
| ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ SY858 ) )
| ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ SV256 ) ) )
= $true )
| ( ( SV256
= ( k1_setfam_1 @ SV148 ) )
= $true )
| ( ( SV148 = k1_xboole_0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8692]) ).
thf(8749,plain,
! [SV151: $i,SV259: $i,SV349: $i] :
( ( ( ~ ( r2_hidden @ SV349 @ ( sK57_SY847 @ SV259 @ SV151 @ SV349 ) ) )
= $false )
| ( ( r2_hidden @ SV349 @ SV259 )
= $false )
| ( ( SV259
= ( k3_tarski @ SV151 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8694]) ).
thf(8750,plain,
! [SV349: $i,SV151: $i,SV259: $i] :
( ( ( ~ ( r2_hidden @ ( sK57_SY847 @ SV259 @ SV151 @ SV349 ) @ SV151 ) )
= $false )
| ( ( r2_hidden @ SV349 @ SV259 )
= $false )
| ( ( SV259
= ( k3_tarski @ SV151 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8694]) ).
thf(8751,plain,
! [SV259: $i,SV151: $i,SV366: $i,SV349: $i] :
( ( ( ~ ( r2_hidden @ SV349 @ SV366 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV366 @ SV151 ) )
= $true )
| ( ( r2_hidden @ SV349 @ SV259 )
= $true )
| ( ( SV259
= ( k3_tarski @ SV151 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[8695]) ).
thf(8752,plain,
! [SV259: $i,SV151: $i] :
( ( ( ~ ~ ( ~ ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ ( sK64_SY850 @ SV259 @ SV151 ) )
| ~ ( r2_hidden @ ( sK64_SY850 @ SV259 @ SV151 ) @ SV151 ) ) )
= $false )
| ( ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SV259 )
= $true )
| ( ( SV259
= ( k3_tarski @ SV151 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[8696]) ).
thf(8753,plain,
! [SV365: $i,SV259: $i,SV151: $i] :
( ( ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SV365 )
= $false )
| ( ( ~ ( r2_hidden @ SV365 @ SV151 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY850: $i] :
~ ~ ( ~ ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SY850 )
| ~ ( r2_hidden @ SY850 @ SV151 ) )
| ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SV259 ) ) )
= $true )
| ( ( SV259
= ( k3_tarski @ SV151 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8697]) ).
thf(8754,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV163 )
= $false )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8698]) ).
thf(8755,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV163 )
= $false )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8699]) ).
thf(8756,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) )
| ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) ) )
| ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV163 ) ) )
= $true )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8700]) ).
thf(8757,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ~ ( ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) )
| ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) ) )
| ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV163 ) )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $false )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8701]) ).
thf(8758,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ~ ( ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) )
| ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) ) )
| ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV163 ) )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $true )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8702]) ).
thf(8759,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ~ ( ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) )
| ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) ) ) )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $false )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8703]) ).
thf(8760,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV163 ) )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $false )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8703]) ).
thf(8761,plain,
! [SV318: $i,SV310: $i,SV166: $i,SV267: $i] :
( ( ( v1_xboole_0 @ SV267 )
= $true )
| ( ( v1_xboole_0 @ SV166 )
= $true )
| ( ( ~ ~ ( v1_xboole_0 @ SV310 ) )
= $true )
| ( ( ~ ~ ( v1_xboole_0 @ SV318 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k4_zfmisc_1 @ SV166 @ SV267 @ SV310 @ SV318 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8704]) ).
thf(8762,plain,
! [SV270: $i,SV43: $i,SV180: $i] :
( ( ( ~ ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV43 ) )
= $false )
| ( ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV270 )
= $true )
| ( ( SV270
= ( k3_xboole_0 @ SV43 @ SV180 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8706]) ).
thf(8763,plain,
! [SV270: $i,SV43: $i,SV180: $i] :
( ( ( ~ ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV180 ) )
= $false )
| ( ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV270 )
= $true )
| ( ( SV270
= ( k3_xboole_0 @ SV43 @ SV180 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8706]) ).
thf(8764,plain,
! [SV270: $i,SV43: $i,SV180: $i] :
( ( ( ~ ~ ( ~ ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV43 )
| ~ ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV180 ) ) )
= $false )
| ( ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV43 )
= $false )
| ( ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV180 )
= $false )
| ( ( SV270
= ( k3_xboole_0 @ SV43 @ SV180 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8707]) ).
thf(8765,plain,
! [SV270: $i,SV43: $i,SV180: $i] :
( ( ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV270 )
= $false )
| ( ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV43 )
= $false )
| ( ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV180 )
= $false )
| ( ( SV270
= ( k3_xboole_0 @ SV43 @ SV180 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8707]) ).
thf(8766,plain,
! [SV341: $i,SV49: $i,SV338: $i] :
( ( ( ~ ( r2_hidden @ SV338 @ SV49 )
| ~ ( r2_hidden @ SV341 @ SV49 ) )
= $true )
| ( ( ~ ~ ( r2_hidden @ SV338 @ SV341 ) )
= $true )
| ( ( ~ ( ( SV338 != SV341 ) ) )
= $true )
| ( ( ~ ~ ( r2_hidden @ SV341 @ SV338 ) )
= $true )
| ( ( v2_ordinal1 @ SV49 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8708]) ).
thf(8767,plain,
! [SV49: $i] :
( ( ( ~ ( r2_hidden @ ( sK26_SY444 @ SV49 ) @ SV49 )
| ~ ( r2_hidden @ ( sK31_SY844 @ SV49 ) @ SV49 ) )
= $false )
| ( ( v2_ordinal1 @ SV49 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8709]) ).
thf(8768,plain,
! [SV49: $i] :
( ( ( r2_hidden @ ( sK26_SY444 @ SV49 ) @ ( sK31_SY844 @ SV49 ) )
= $false )
| ( ( v2_ordinal1 @ SV49 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8710]) ).
thf(8769,plain,
! [SV187: $i,SV57: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK63_SY690 @ SV57 @ SV187 ) @ SV187 )
| ( p1_s3_xboole_0 @ ( sK63_SY690 @ SV57 @ SV187 ) ) )
| ~ ( ~ ( p1_s3_xboole_0 @ ( sK63_SY690 @ SV57 @ SV187 ) )
| ( r2_hidden @ ( sK63_SY690 @ SV57 @ SV187 ) @ SV187 ) ) )
= $true )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $true )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $true )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8711]) ).
thf(8770,plain,
! [SV187: $i,SV57: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK59_SY690 @ SV57 @ SV187 ) @ SV187 )
| ( p1_s3_xboole_0 @ ( sK59_SY690 @ SV57 @ SV187 ) ) ) )
= $true )
| ( ( ~ ( ~ ( p1_s3_xboole_0 @ ( sK59_SY690 @ SV57 @ SV187 ) )
| ( r2_hidden @ ( sK59_SY690 @ SV57 @ SV187 ) @ SV187 ) ) )
= $true )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $true )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $false )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[8712]) ).
thf(8771,plain,
! [SV187: $i,SV57: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK60_SY690 @ SV57 @ SV187 ) @ SV187 )
| ( p1_s3_xboole_0 @ ( sK60_SY690 @ SV57 @ SV187 ) ) ) )
= $true )
| ( ( ~ ( ~ ( p1_s3_xboole_0 @ ( sK60_SY690 @ SV57 @ SV187 ) )
| ( r2_hidden @ ( sK60_SY690 @ SV57 @ SV187 ) @ SV187 ) ) )
= $true )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $false )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $true )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[8713]) ).
thf(8772,plain,
! [SV187: $i,SV57: $i] :
( ( ( ~ ( r2_hidden @ ( sK58_SY690 @ SV57 @ SV187 ) @ SV187 )
| ( p1_s3_xboole_0 @ ( sK58_SY690 @ SV57 @ SV187 ) ) )
= $false )
| ( ( ~ ( ~ ( p1_s3_xboole_0 @ ( sK58_SY690 @ SV57 @ SV187 ) )
| ( r2_hidden @ ( sK58_SY690 @ SV57 @ SV187 ) @ SV187 ) ) )
= $true )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $false )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $false )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8714]) ).
thf(8773,plain,
! [SV61: $i,SV275: $i,SV189: $i] :
( ( ( v1_xboole_0 @ ( k1_funct_1 @ SV189 @ SV275 ) )
= $false )
| ( ( m1_pboole @ SV189 @ SV61 )
= $false )
| ( ( v1_xboole_0 @ SV61 )
= $true )
| ( ( v2_relat_1 @ SV189 )
= $false )
| ( ( m1_subset_1 @ SV275 @ SV61 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8715]) ).
thf(8774,plain,
! [SV192: $i,SV65: $i,SV277: $i] :
( ( ( ~ ~ ( ~ ( m1_subset_1 @ ( sK61_SY807 @ SV277 @ SV65 @ SV192 ) @ SV192 )
| ( SV65
!= ( sK61_SY807 @ SV277 @ SV65 @ SV192 ) ) )
| ~ ( ( ( k1_funct_1 @ SV277 @ ( sK61_SY807 @ SV277 @ SV65 @ SV192 ) )
!= k1_xboole_0 ) ) )
= $false )
| ( ( r2_hidden @ SV65 @ ( a_2_0_closure3 @ SV192 @ SV277 ) )
= $false )
| ( ( v1_xboole_0 @ SV192 )
= $true )
| ( ( m1_pboole @ SV277 @ SV192 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8717]) ).
thf(8775,plain,
! [SV277: $i,SV65: $i,SV192: $i,SV368: $i] :
( ( ( ~ ~ ( ~ ( m1_subset_1 @ SV368 @ SV192 )
| ( SV65 != SV368 ) )
| ~ ( ( ( k1_funct_1 @ SV277 @ SV368 )
!= k1_xboole_0 ) ) )
= $true )
| ( ( r2_hidden @ SV65 @ ( a_2_0_closure3 @ SV192 @ SV277 ) )
= $true )
| ( ( v1_xboole_0 @ SV192 )
= $true )
| ( ( m1_pboole @ SV277 @ SV192 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8718]) ).
thf(8776,plain,
! [SV198: $i,SV73: $i] :
( ( ( ~ ( r2_hidden @ ( sK62_SY704 @ SV73 @ SV198 ) @ SV198 )
| ~ ! [SY860: $i,SY861: $i] :
( ( sK62_SY704 @ SV73 @ SV198 )
!= ( k4_tarski @ SY860 @ SY861 ) ) )
= $false )
| ( ( r2_hidden @ ( sK46_SY482 @ SV198 @ SV73 ) @ SV73 )
= $true )
| ( ( ~ ! [SY707: $i,SY708: $i] :
~ ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 ) )
| ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 ) ) ) )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8719]) ).
thf(8777,plain,
! [SV369: $i,SV367: $i,SV73: $i,SV198: $i] :
( ( ( ! [SY704: $i] :
~ ~ ( ~ ( r2_hidden @ SY704 @ SV198 )
| ~ ! [SX3: $i,SX4: $i] :
( SY704
!= ( k4_tarski @ SX3 @ SX4 ) ) ) )
= $false )
| ( ( ( sK46_SY482 @ SV198 @ SV73 )
= ( k4_tarski @ SV367 @ SV369 ) )
= $false )
| ( ( ~ ! [SY707: $i,SY708: $i] :
~ ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 ) )
| ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 ) ) ) )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8720]) ).
thf(8778,plain,
! [SV324: $i,SV315: $i,SV80: $i,SV284: $i,SV204: $i] :
( ( ( r2_hidden @ SV204 @ SV284 )
= $false )
| ( ( r2_hidden @ SV80 @ SV204 )
= $false )
| ( ( ~ ( r2_hidden @ SV284 @ SV315 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV315 @ SV324 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV324 @ SV80 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8721]) ).
thf(8779,plain,
! [SV337: $i,SV325: $i,SV316: $i,SV287: $i,SV207: $i,SV84: $i] :
( ( ( ~ ( ~ ( r2_hidden @ SV84 @ SV207 )
| ~ ( r2_hidden @ SV207 @ SV287 ) ) )
= $false )
| ( ( ~ ( r2_hidden @ SV287 @ SV316 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV316 @ SV325 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV325 @ SV337 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV337 @ SV84 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8725]) ).
thf(8780,plain,
! [SV93: $i] :
( ( ( r2_hidden @ ( sK47_SY530 @ SV93 ) @ SV93 )
= $true )
| ( ( v1_realset1 @ SV93 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8726]) ).
thf(8781,plain,
! [SV93: $i] :
( ( ( r2_hidden @ ( sK50_SY854 @ SV93 ) @ SV93 )
= $true )
| ( ( v1_realset1 @ SV93 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8727]) ).
thf(8782,plain,
! [SV361: $i,SV93: $i,SV356: $i] :
( ( ( ~ ( r2_hidden @ SV356 @ SV93 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV361 @ SV93 ) )
= $true )
| ( ( ~ ( ( SV356 != SV361 ) ) )
= $true )
| ( ( ~ ( v1_realset1 @ SV93 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[8728]) ).
thf(8783,plain,
! [SV293: $i,SV104: $i,SV222: $i,SV352: $i] :
( ( ( r2_hidden @ SV352 @ SV222 )
= $true )
| ( ( r2_hidden @ SV352 @ SV104 )
= $false )
| ( ( r2_hidden @ SV352 @ SV293 )
= $true )
| ( ( SV293
= ( k4_xboole_0 @ SV104 @ SV222 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8731]) ).
thf(8784,plain,
! [SV293: $i,SV104: $i,SV222: $i] :
( ( ( ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV104 ) )
= $false )
| ( ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV293 )
= $true )
| ( ( SV293
= ( k4_xboole_0 @ SV104 @ SV222 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8732]) ).
thf(8785,plain,
! [SV293: $i,SV104: $i,SV222: $i] :
( ( ( ~ ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV222 ) )
= $false )
| ( ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV293 )
= $true )
| ( ( SV293
= ( k4_xboole_0 @ SV104 @ SV222 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8732]) ).
thf(8786,plain,
! [SV293: $i,SV104: $i,SV222: $i] :
( ( ( ~ ~ ( ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV104 )
| ~ ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV222 ) )
| ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV293 ) )
= $false )
| ( ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV104 )
= $false )
| ( ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV222 )
= $true )
| ( ( SV293
= ( k4_xboole_0 @ SV104 @ SV222 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8733]) ).
thf(8787,plain,
! [SV129: $i,SV239: $i,SV332: $i] :
( ( ( r2_hidden @ ( sK42_SY840 @ SV332 @ SV239 @ SV129 ) @ SV332 )
= $true )
| ( ( r2_hidden @ ( sK42_SY840 @ SV332 @ SV239 @ SV129 ) @ SV239 )
= $true )
| ( ( SV239 = SV332 )
= $true )
| ( ( m1_subset_1 @ SV332 @ ( k1_zfmisc_1 @ SV129 ) )
= $false )
| ( ( m1_subset_1 @ SV239 @ ( k1_zfmisc_1 @ SV129 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8734]) ).
thf(8788,plain,
! [SV133: $i,SV242: $i] :
( ( ( ( sK55_SY758 @ SV242 @ SV133 )
= SV242 )
= $false )
| ( ( SV133
= ( k1_tarski @ SV242 ) )
= $true )
| ( ( SV133 = k1_xboole_0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8738]) ).
thf(8789,plain,
! [SV136: $i,SV245: $i,SV333: $i] :
( ( ( r2_hidden @ ( sK43_SY841 @ SV333 @ SV245 @ SV136 ) @ SV333 )
= $true )
| ( ( r2_hidden @ ( sK43_SY841 @ SV333 @ SV245 @ SV136 ) @ SV245 )
= $true )
| ( ( SV245 = SV333 )
= $true )
| ( ( m1_subset_1 @ SV333 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV136 ) ) )
= $false )
| ( ( m1_subset_1 @ SV245 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ SV136 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8739]) ).
thf(8790,plain,
! [SV148: $i,SV256: $i,SV364: $i] :
( ( ( r2_hidden @ SV364 @ SV256 )
= $false )
| ( ( ! [SY855: $i] :
( ~ ( r2_hidden @ SY855 @ SV148 )
| ( r2_hidden @ SV364 @ SY855 ) ) )
= $true )
| ( ( SV256
= ( k1_setfam_1 @ SV148 ) )
= $false )
| ( ( SV148 = k1_xboole_0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8745]) ).
thf(8791,plain,
! [SV256: $i,SV364: $i,SV148: $i] :
( ( ( ! [SY856: $i] :
( ~ ( r2_hidden @ SY856 @ SV148 )
| ( r2_hidden @ SV364 @ SY856 ) ) )
= $false )
| ( ( r2_hidden @ SV364 @ SV256 )
= $true )
| ( ( SV256
= ( k1_setfam_1 @ SV148 ) )
= $false )
| ( ( SV148 = k1_xboole_0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8746]) ).
thf(8792,plain,
! [SV256: $i,SV148: $i] :
( ( ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ SV256 )
= $true )
| ( ( ~ ( ~ ! [SY858: $i] :
( ~ ( r2_hidden @ SY858 @ SV148 )
| ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ SY858 ) )
| ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ SV256 ) ) )
= $true )
| ( ( SV256
= ( k1_setfam_1 @ SV148 ) )
= $true )
| ( ( SV148 = k1_xboole_0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8747]) ).
thf(8793,plain,
! [SV148: $i,SV256: $i] :
( ( ( ~ ( r2_hidden @ ( sK65_SY857 @ SV256 @ SV148 ) @ SV148 )
| ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ ( sK65_SY857 @ SV256 @ SV148 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY858: $i] :
( ~ ( r2_hidden @ SY858 @ SV148 )
| ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ SY858 ) )
| ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ SV256 ) ) )
= $true )
| ( ( SV256
= ( k1_setfam_1 @ SV148 ) )
= $true )
| ( ( SV148 = k1_xboole_0 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[8748]) ).
thf(8794,plain,
! [SV151: $i,SV259: $i,SV349: $i] :
( ( ( r2_hidden @ SV349 @ ( sK57_SY847 @ SV259 @ SV151 @ SV349 ) )
= $true )
| ( ( r2_hidden @ SV349 @ SV259 )
= $false )
| ( ( SV259
= ( k3_tarski @ SV151 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8749]) ).
thf(8795,plain,
! [SV349: $i,SV151: $i,SV259: $i] :
( ( ( r2_hidden @ ( sK57_SY847 @ SV259 @ SV151 @ SV349 ) @ SV151 )
= $true )
| ( ( r2_hidden @ SV349 @ SV259 )
= $false )
| ( ( SV259
= ( k3_tarski @ SV151 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8750]) ).
thf(8796,plain,
! [SV259: $i,SV151: $i,SV366: $i,SV349: $i] :
( ( ( r2_hidden @ SV349 @ SV366 )
= $false )
| ( ( ~ ( r2_hidden @ SV366 @ SV151 ) )
= $true )
| ( ( r2_hidden @ SV349 @ SV259 )
= $true )
| ( ( SV259
= ( k3_tarski @ SV151 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8751]) ).
thf(8797,plain,
! [SV259: $i,SV151: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ ( sK64_SY850 @ SV259 @ SV151 ) )
| ~ ( r2_hidden @ ( sK64_SY850 @ SV259 @ SV151 ) @ SV151 ) ) )
= $true )
| ( ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SV259 )
= $true )
| ( ( SV259
= ( k3_tarski @ SV151 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8752]) ).
thf(8798,plain,
! [SV259: $i,SV151: $i,SV365: $i] :
( ( ( r2_hidden @ SV365 @ SV151 )
= $false )
| ( ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SV365 )
= $false )
| ( ( ~ ( ~ ~ ! [SY850: $i] :
~ ~ ( ~ ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SY850 )
| ~ ( r2_hidden @ SY850 @ SV151 ) )
| ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SV259 ) ) )
= $true )
| ( ( SV259
= ( k3_tarski @ SV151 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8753]) ).
thf(8799,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV163 )
= $false )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[8754]) ).
thf(8800,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV163 )
= $false )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[8755]) ).
thf(8801,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ~ ( ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) )
| ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) ) )
| ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV163 ) )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $true )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8756]) ).
thf(8802,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ~ ( ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) )
| ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) ) ) )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $false )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8757]) ).
thf(8803,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV163 ) )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $false )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8757]) ).
thf(8804,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ~ ( ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) )
| ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) ) ) )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $true )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8758]) ).
thf(8805,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV163 ) )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $true )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8758]) ).
thf(8806,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ( ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) )
| ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) ) ) )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $false )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8759]) ).
thf(8807,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV163 )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $false )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8760]) ).
thf(8808,plain,
! [SV318: $i,SV267: $i,SV166: $i,SV310: $i] :
( ( ( ~ ( v1_xboole_0 @ SV310 ) )
= $false )
| ( ( v1_xboole_0 @ SV166 )
= $true )
| ( ( v1_xboole_0 @ SV267 )
= $true )
| ( ( ~ ~ ( v1_xboole_0 @ SV318 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k4_zfmisc_1 @ SV166 @ SV267 @ SV310 @ SV318 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8761]) ).
thf(8809,plain,
! [SV270: $i,SV43: $i,SV180: $i] :
( ( ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV43 )
= $true )
| ( ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV270 )
= $true )
| ( ( SV270
= ( k3_xboole_0 @ SV43 @ SV180 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8762]) ).
thf(8810,plain,
! [SV270: $i,SV43: $i,SV180: $i] :
( ( ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV180 )
= $true )
| ( ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV270 )
= $true )
| ( ( SV270
= ( k3_xboole_0 @ SV43 @ SV180 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8763]) ).
thf(8811,plain,
! [SV270: $i,SV43: $i,SV180: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV43 )
| ~ ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV180 ) ) )
= $true )
| ( ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV43 )
= $false )
| ( ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV180 )
= $false )
| ( ( SV270
= ( k3_xboole_0 @ SV43 @ SV180 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8764]) ).
thf(8812,plain,
! [SV341: $i,SV49: $i,SV338: $i] :
( ( ( ~ ( r2_hidden @ SV338 @ SV49 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV341 @ SV49 ) )
= $true )
| ( ( ~ ~ ( r2_hidden @ SV338 @ SV341 ) )
= $true )
| ( ( ~ ( ( SV338 != SV341 ) ) )
= $true )
| ( ( ~ ~ ( r2_hidden @ SV341 @ SV338 ) )
= $true )
| ( ( v2_ordinal1 @ SV49 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[8766]) ).
thf(8813,plain,
! [SV49: $i] :
( ( ( ~ ( r2_hidden @ ( sK26_SY444 @ SV49 ) @ SV49 ) )
= $false )
| ( ( v2_ordinal1 @ SV49 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8767]) ).
thf(8814,plain,
! [SV49: $i] :
( ( ( ~ ( r2_hidden @ ( sK31_SY844 @ SV49 ) @ SV49 ) )
= $false )
| ( ( v2_ordinal1 @ SV49 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8767]) ).
thf(8815,plain,
! [SV187: $i,SV57: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK63_SY690 @ SV57 @ SV187 ) @ SV187 )
| ( p1_s3_xboole_0 @ ( sK63_SY690 @ SV57 @ SV187 ) ) ) )
= $true )
| ( ( ~ ( ~ ( p1_s3_xboole_0 @ ( sK63_SY690 @ SV57 @ SV187 ) )
| ( r2_hidden @ ( sK63_SY690 @ SV57 @ SV187 ) @ SV187 ) ) )
= $true )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $true )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $true )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[8769]) ).
thf(8816,plain,
! [SV187: $i,SV57: $i] :
( ( ( ~ ( r2_hidden @ ( sK59_SY690 @ SV57 @ SV187 ) @ SV187 )
| ( p1_s3_xboole_0 @ ( sK59_SY690 @ SV57 @ SV187 ) ) )
= $false )
| ( ( ~ ( ~ ( p1_s3_xboole_0 @ ( sK59_SY690 @ SV57 @ SV187 ) )
| ( r2_hidden @ ( sK59_SY690 @ SV57 @ SV187 ) @ SV187 ) ) )
= $true )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $true )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $false )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8770]) ).
thf(8817,plain,
! [SV187: $i,SV57: $i] :
( ( ( ~ ( r2_hidden @ ( sK60_SY690 @ SV57 @ SV187 ) @ SV187 )
| ( p1_s3_xboole_0 @ ( sK60_SY690 @ SV57 @ SV187 ) ) )
= $false )
| ( ( ~ ( ~ ( p1_s3_xboole_0 @ ( sK60_SY690 @ SV57 @ SV187 ) )
| ( r2_hidden @ ( sK60_SY690 @ SV57 @ SV187 ) @ SV187 ) ) )
= $true )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $false )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $true )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8771]) ).
thf(8818,plain,
! [SV187: $i,SV57: $i] :
( ( ( ~ ( r2_hidden @ ( sK58_SY690 @ SV57 @ SV187 ) @ SV187 ) )
= $false )
| ( ( ~ ( ~ ( p1_s3_xboole_0 @ ( sK58_SY690 @ SV57 @ SV187 ) )
| ( r2_hidden @ ( sK58_SY690 @ SV57 @ SV187 ) @ SV187 ) ) )
= $true )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $false )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $false )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8772]) ).
thf(8819,plain,
! [SV187: $i,SV57: $i] :
( ( ( p1_s3_xboole_0 @ ( sK58_SY690 @ SV57 @ SV187 ) )
= $false )
| ( ( ~ ( ~ ( p1_s3_xboole_0 @ ( sK58_SY690 @ SV57 @ SV187 ) )
| ( r2_hidden @ ( sK58_SY690 @ SV57 @ SV187 ) @ SV187 ) ) )
= $true )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $false )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $false )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8772]) ).
thf(8820,plain,
! [SV192: $i,SV65: $i,SV277: $i] :
( ( ( ~ ~ ( ~ ( m1_subset_1 @ ( sK61_SY807 @ SV277 @ SV65 @ SV192 ) @ SV192 )
| ( SV65
!= ( sK61_SY807 @ SV277 @ SV65 @ SV192 ) ) ) )
= $false )
| ( ( r2_hidden @ SV65 @ ( a_2_0_closure3 @ SV192 @ SV277 ) )
= $false )
| ( ( v1_xboole_0 @ SV192 )
= $true )
| ( ( m1_pboole @ SV277 @ SV192 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8774]) ).
thf(8821,plain,
! [SV192: $i,SV65: $i,SV277: $i] :
( ( ( ~ ( ( ( k1_funct_1 @ SV277 @ ( sK61_SY807 @ SV277 @ SV65 @ SV192 ) )
!= k1_xboole_0 ) ) )
= $false )
| ( ( r2_hidden @ SV65 @ ( a_2_0_closure3 @ SV192 @ SV277 ) )
= $false )
| ( ( v1_xboole_0 @ SV192 )
= $true )
| ( ( m1_pboole @ SV277 @ SV192 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8774]) ).
thf(8822,plain,
! [SV277: $i,SV65: $i,SV192: $i,SV368: $i] :
( ( ( ~ ~ ( ~ ( m1_subset_1 @ SV368 @ SV192 )
| ( SV65 != SV368 ) ) )
= $true )
| ( ( ~ ( ( ( k1_funct_1 @ SV277 @ SV368 )
!= k1_xboole_0 ) ) )
= $true )
| ( ( r2_hidden @ SV65 @ ( a_2_0_closure3 @ SV192 @ SV277 ) )
= $true )
| ( ( v1_xboole_0 @ SV192 )
= $true )
| ( ( m1_pboole @ SV277 @ SV192 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[8775]) ).
thf(8823,plain,
! [SV198: $i,SV73: $i] :
( ( ( ~ ( r2_hidden @ ( sK62_SY704 @ SV73 @ SV198 ) @ SV198 ) )
= $false )
| ( ( r2_hidden @ ( sK46_SY482 @ SV198 @ SV73 ) @ SV73 )
= $true )
| ( ( ~ ! [SY707: $i,SY708: $i] :
~ ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 ) )
| ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 ) ) ) )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8776]) ).
thf(8824,plain,
! [SV198: $i,SV73: $i] :
( ( ( ~ ! [SY860: $i,SY861: $i] :
( ( sK62_SY704 @ SV73 @ SV198 )
!= ( k4_tarski @ SY860 @ SY861 ) ) )
= $false )
| ( ( r2_hidden @ ( sK46_SY482 @ SV198 @ SV73 ) @ SV73 )
= $true )
| ( ( ~ ! [SY707: $i,SY708: $i] :
~ ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 ) )
| ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 ) ) ) )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8776]) ).
thf(8825,plain,
! [SV198: $i,SV73: $i,SV367: $i,SV369: $i] :
( ( ( ~ ~ ( ~ ( r2_hidden @ ( sK66_SY704 @ SV369 @ SV367 @ SV73 @ SV198 ) @ SV198 )
| ~ ! [SY862: $i,SY863: $i] :
( ( sK66_SY704 @ SV369 @ SV367 @ SV73 @ SV198 )
!= ( k4_tarski @ SY862 @ SY863 ) ) ) )
= $false )
| ( ( ( sK46_SY482 @ SV198 @ SV73 )
= ( k4_tarski @ SV367 @ SV369 ) )
= $false )
| ( ( ~ ! [SY707: $i,SY708: $i] :
~ ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 ) )
| ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 ) ) ) )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[8777]) ).
thf(8826,plain,
! [SV324: $i,SV204: $i,SV80: $i,SV315: $i,SV284: $i] :
( ( ( r2_hidden @ SV284 @ SV315 )
= $false )
| ( ( r2_hidden @ SV80 @ SV204 )
= $false )
| ( ( r2_hidden @ SV204 @ SV284 )
= $false )
| ( ( ~ ( r2_hidden @ SV315 @ SV324 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV324 @ SV80 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8778]) ).
thf(8827,plain,
! [SV337: $i,SV325: $i,SV316: $i,SV287: $i,SV207: $i,SV84: $i] :
( ( ( ~ ( r2_hidden @ SV84 @ SV207 )
| ~ ( r2_hidden @ SV207 @ SV287 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV287 @ SV316 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV316 @ SV325 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV325 @ SV337 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV337 @ SV84 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8779]) ).
thf(8828,plain,
! [SV361: $i,SV93: $i,SV356: $i] :
( ( ( r2_hidden @ SV356 @ SV93 )
= $false )
| ( ( ~ ( r2_hidden @ SV361 @ SV93 ) )
= $true )
| ( ( ~ ( ( SV356 != SV361 ) ) )
= $true )
| ( ( ~ ( v1_realset1 @ SV93 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8782]) ).
thf(8829,plain,
! [SV293: $i,SV104: $i,SV222: $i] :
( ( ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV104 )
= $true )
| ( ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV293 )
= $true )
| ( ( SV293
= ( k4_xboole_0 @ SV104 @ SV222 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8784]) ).
thf(8830,plain,
! [SV293: $i,SV104: $i,SV222: $i] :
( ( ( ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV222 ) )
= $true )
| ( ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV293 )
= $true )
| ( ( SV293
= ( k4_xboole_0 @ SV104 @ SV222 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8785]) ).
thf(8831,plain,
! [SV293: $i,SV104: $i,SV222: $i] :
( ( ( ~ ~ ( ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV104 )
| ~ ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV222 ) ) )
= $false )
| ( ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV104 )
= $false )
| ( ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV222 )
= $true )
| ( ( SV293
= ( k4_xboole_0 @ SV104 @ SV222 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8786]) ).
thf(8832,plain,
! [SV293: $i,SV104: $i,SV222: $i] :
( ( ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV293 )
= $false )
| ( ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV104 )
= $false )
| ( ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV222 )
= $true )
| ( ( SV293
= ( k4_xboole_0 @ SV104 @ SV222 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8786]) ).
thf(8833,plain,
! [SV256: $i,SV364: $i,SV148: $i,SV370: $i] :
( ( ( ~ ( r2_hidden @ SV370 @ SV148 )
| ( r2_hidden @ SV364 @ SV370 ) )
= $true )
| ( ( r2_hidden @ SV364 @ SV256 )
= $false )
| ( ( SV256
= ( k1_setfam_1 @ SV148 ) )
= $false )
| ( ( SV148 = k1_xboole_0 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[8790]) ).
thf(8834,plain,
! [SV148: $i,SV364: $i,SV256: $i] :
( ( ( ~ ( r2_hidden @ ( sK67_SY856 @ SV256 @ SV364 @ SV148 ) @ SV148 )
| ( r2_hidden @ SV364 @ ( sK67_SY856 @ SV256 @ SV364 @ SV148 ) ) )
= $false )
| ( ( r2_hidden @ SV364 @ SV256 )
= $true )
| ( ( SV256
= ( k1_setfam_1 @ SV148 ) )
= $false )
| ( ( SV148 = k1_xboole_0 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[8791]) ).
thf(8835,plain,
! [SV256: $i,SV148: $i] :
( ( ( ~ ! [SY858: $i] :
( ~ ( r2_hidden @ SY858 @ SV148 )
| ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ SY858 ) )
| ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ SV256 ) )
= $false )
| ( ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ SV256 )
= $true )
| ( ( SV256
= ( k1_setfam_1 @ SV148 ) )
= $true )
| ( ( SV148 = k1_xboole_0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8792]) ).
thf(8836,plain,
! [SV148: $i,SV256: $i] :
( ( ( ~ ( r2_hidden @ ( sK65_SY857 @ SV256 @ SV148 ) @ SV148 ) )
= $false )
| ( ( ~ ( ~ ! [SY858: $i] :
( ~ ( r2_hidden @ SY858 @ SV148 )
| ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ SY858 ) )
| ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ SV256 ) ) )
= $true )
| ( ( SV256
= ( k1_setfam_1 @ SV148 ) )
= $true )
| ( ( SV148 = k1_xboole_0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8793]) ).
thf(8837,plain,
! [SV256: $i,SV148: $i] :
( ( ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ ( sK65_SY857 @ SV256 @ SV148 ) )
= $false )
| ( ( ~ ( ~ ! [SY858: $i] :
( ~ ( r2_hidden @ SY858 @ SV148 )
| ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ SY858 ) )
| ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ SV256 ) ) )
= $true )
| ( ( SV256
= ( k1_setfam_1 @ SV148 ) )
= $true )
| ( ( SV148 = k1_xboole_0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8793]) ).
thf(8838,plain,
! [SV259: $i,SV349: $i,SV151: $i,SV366: $i] :
( ( ( r2_hidden @ SV366 @ SV151 )
= $false )
| ( ( r2_hidden @ SV349 @ SV366 )
= $false )
| ( ( r2_hidden @ SV349 @ SV259 )
= $true )
| ( ( SV259
= ( k3_tarski @ SV151 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8796]) ).
thf(8839,plain,
! [SV259: $i,SV151: $i] :
( ( ( ~ ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ ( sK64_SY850 @ SV259 @ SV151 ) )
| ~ ( r2_hidden @ ( sK64_SY850 @ SV259 @ SV151 ) @ SV151 ) )
= $false )
| ( ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SV259 )
= $true )
| ( ( SV259
= ( k3_tarski @ SV151 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8797]) ).
thf(8840,plain,
! [SV365: $i,SV259: $i,SV151: $i] :
( ( ( ~ ~ ! [SY850: $i] :
~ ~ ( ~ ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SY850 )
| ~ ( r2_hidden @ SY850 @ SV151 ) )
| ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SV259 ) )
= $false )
| ( ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SV365 )
= $false )
| ( ( r2_hidden @ SV365 @ SV151 )
= $false )
| ( ( SV259
= ( k3_tarski @ SV151 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8798]) ).
thf(8841,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV163 )
= $false )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8799]) ).
thf(8842,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV163 )
= $false )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8800]) ).
thf(8843,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ~ ( ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) )
| ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) ) ) )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $true )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8801]) ).
thf(8844,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV163 ) )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $true )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8801]) ).
thf(8845,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ( ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) )
| ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) ) ) )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $false )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8802]) ).
thf(8846,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV163 )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $false )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8803]) ).
thf(8847,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ( ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) )
| ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) ) ) )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $true )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8804]) ).
thf(8848,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV163 )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $true )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8805]) ).
thf(8849,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) )
| ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) ) )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $false )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8806]) ).
thf(8850,plain,
! [SV318: $i,SV267: $i,SV166: $i,SV310: $i] :
( ( ( v1_xboole_0 @ SV310 )
= $true )
| ( ( v1_xboole_0 @ SV166 )
= $true )
| ( ( v1_xboole_0 @ SV267 )
= $true )
| ( ( ~ ~ ( v1_xboole_0 @ SV318 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k4_zfmisc_1 @ SV166 @ SV267 @ SV310 @ SV318 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8808]) ).
thf(8851,plain,
! [SV270: $i,SV43: $i,SV180: $i] :
( ( ( ~ ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV43 )
| ~ ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV180 ) )
= $false )
| ( ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV43 )
= $false )
| ( ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV180 )
= $false )
| ( ( SV270
= ( k3_xboole_0 @ SV43 @ SV180 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8811]) ).
thf(8852,plain,
! [SV341: $i,SV49: $i,SV338: $i] :
( ( ( r2_hidden @ SV338 @ SV49 )
= $false )
| ( ( ~ ( r2_hidden @ SV341 @ SV49 ) )
= $true )
| ( ( ~ ~ ( r2_hidden @ SV338 @ SV341 ) )
= $true )
| ( ( ~ ( ( SV338 != SV341 ) ) )
= $true )
| ( ( ~ ~ ( r2_hidden @ SV341 @ SV338 ) )
= $true )
| ( ( v2_ordinal1 @ SV49 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8812]) ).
thf(8853,plain,
! [SV49: $i] :
( ( ( r2_hidden @ ( sK26_SY444 @ SV49 ) @ SV49 )
= $true )
| ( ( v2_ordinal1 @ SV49 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8813]) ).
thf(8854,plain,
! [SV49: $i] :
( ( ( r2_hidden @ ( sK31_SY844 @ SV49 ) @ SV49 )
= $true )
| ( ( v2_ordinal1 @ SV49 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8814]) ).
thf(8855,plain,
! [SV187: $i,SV57: $i] :
( ( ( ~ ( r2_hidden @ ( sK63_SY690 @ SV57 @ SV187 ) @ SV187 )
| ( p1_s3_xboole_0 @ ( sK63_SY690 @ SV57 @ SV187 ) ) )
= $false )
| ( ( ~ ( ~ ( p1_s3_xboole_0 @ ( sK63_SY690 @ SV57 @ SV187 ) )
| ( r2_hidden @ ( sK63_SY690 @ SV57 @ SV187 ) @ SV187 ) ) )
= $true )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $true )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $true )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8815]) ).
thf(8856,plain,
! [SV187: $i,SV57: $i] :
( ( ( ~ ( r2_hidden @ ( sK59_SY690 @ SV57 @ SV187 ) @ SV187 ) )
= $false )
| ( ( ~ ( ~ ( p1_s3_xboole_0 @ ( sK59_SY690 @ SV57 @ SV187 ) )
| ( r2_hidden @ ( sK59_SY690 @ SV57 @ SV187 ) @ SV187 ) ) )
= $true )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $true )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $false )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8816]) ).
thf(8857,plain,
! [SV187: $i,SV57: $i] :
( ( ( p1_s3_xboole_0 @ ( sK59_SY690 @ SV57 @ SV187 ) )
= $false )
| ( ( ~ ( ~ ( p1_s3_xboole_0 @ ( sK59_SY690 @ SV57 @ SV187 ) )
| ( r2_hidden @ ( sK59_SY690 @ SV57 @ SV187 ) @ SV187 ) ) )
= $true )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $true )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $false )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8816]) ).
thf(8858,plain,
! [SV187: $i,SV57: $i] :
( ( ( ~ ( r2_hidden @ ( sK60_SY690 @ SV57 @ SV187 ) @ SV187 ) )
= $false )
| ( ( ~ ( ~ ( p1_s3_xboole_0 @ ( sK60_SY690 @ SV57 @ SV187 ) )
| ( r2_hidden @ ( sK60_SY690 @ SV57 @ SV187 ) @ SV187 ) ) )
= $true )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $false )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $true )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8817]) ).
thf(8859,plain,
! [SV187: $i,SV57: $i] :
( ( ( p1_s3_xboole_0 @ ( sK60_SY690 @ SV57 @ SV187 ) )
= $false )
| ( ( ~ ( ~ ( p1_s3_xboole_0 @ ( sK60_SY690 @ SV57 @ SV187 ) )
| ( r2_hidden @ ( sK60_SY690 @ SV57 @ SV187 ) @ SV187 ) ) )
= $true )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $false )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $true )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8817]) ).
thf(8860,plain,
! [SV187: $i,SV57: $i] :
( ( ( r2_hidden @ ( sK58_SY690 @ SV57 @ SV187 ) @ SV187 )
= $true )
| ( ( ~ ( ~ ( p1_s3_xboole_0 @ ( sK58_SY690 @ SV57 @ SV187 ) )
| ( r2_hidden @ ( sK58_SY690 @ SV57 @ SV187 ) @ SV187 ) ) )
= $true )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $false )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $false )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8818]) ).
thf(8861,plain,
! [SV187: $i,SV57: $i] :
( ( ( ~ ( p1_s3_xboole_0 @ ( sK58_SY690 @ SV57 @ SV187 ) )
| ( r2_hidden @ ( sK58_SY690 @ SV57 @ SV187 ) @ SV187 ) )
= $false )
| ( ( p1_s3_xboole_0 @ ( sK58_SY690 @ SV57 @ SV187 ) )
= $false )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $false )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $false )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8819]) ).
thf(8862,plain,
! [SV192: $i,SV65: $i,SV277: $i] :
( ( ( ~ ( ~ ( m1_subset_1 @ ( sK61_SY807 @ SV277 @ SV65 @ SV192 ) @ SV192 )
| ( SV65
!= ( sK61_SY807 @ SV277 @ SV65 @ SV192 ) ) ) )
= $true )
| ( ( r2_hidden @ SV65 @ ( a_2_0_closure3 @ SV192 @ SV277 ) )
= $false )
| ( ( v1_xboole_0 @ SV192 )
= $true )
| ( ( m1_pboole @ SV277 @ SV192 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8820]) ).
thf(8863,plain,
! [SV192: $i,SV65: $i,SV277: $i] :
( ( ( ( k1_funct_1 @ SV277 @ ( sK61_SY807 @ SV277 @ SV65 @ SV192 ) )
!= k1_xboole_0 )
= $true )
| ( ( r2_hidden @ SV65 @ ( a_2_0_closure3 @ SV192 @ SV277 ) )
= $false )
| ( ( v1_xboole_0 @ SV192 )
= $true )
| ( ( m1_pboole @ SV277 @ SV192 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8821]) ).
thf(8864,plain,
! [SV277: $i,SV65: $i,SV192: $i,SV368: $i] :
( ( ( ~ ( ~ ( m1_subset_1 @ SV368 @ SV192 )
| ( SV65 != SV368 ) ) )
= $false )
| ( ( ~ ( ( ( k1_funct_1 @ SV277 @ SV368 )
!= k1_xboole_0 ) ) )
= $true )
| ( ( r2_hidden @ SV65 @ ( a_2_0_closure3 @ SV192 @ SV277 ) )
= $true )
| ( ( v1_xboole_0 @ SV192 )
= $true )
| ( ( m1_pboole @ SV277 @ SV192 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8822]) ).
thf(8865,plain,
! [SV198: $i,SV73: $i] :
( ( ( r2_hidden @ ( sK62_SY704 @ SV73 @ SV198 ) @ SV198 )
= $true )
| ( ( r2_hidden @ ( sK46_SY482 @ SV198 @ SV73 ) @ SV73 )
= $true )
| ( ( ~ ! [SY707: $i,SY708: $i] :
~ ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 ) )
| ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 ) ) ) )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8823]) ).
thf(8866,plain,
! [SV198: $i,SV73: $i] :
( ( ( ! [SY860: $i,SY861: $i] :
( ( sK62_SY704 @ SV73 @ SV198 )
!= ( k4_tarski @ SY860 @ SY861 ) ) )
= $true )
| ( ( r2_hidden @ ( sK46_SY482 @ SV198 @ SV73 ) @ SV73 )
= $true )
| ( ( ~ ! [SY707: $i,SY708: $i] :
~ ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 ) )
| ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 ) ) ) )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8824]) ).
thf(8867,plain,
! [SV198: $i,SV73: $i,SV367: $i,SV369: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK66_SY704 @ SV369 @ SV367 @ SV73 @ SV198 ) @ SV198 )
| ~ ! [SY862: $i,SY863: $i] :
( ( sK66_SY704 @ SV369 @ SV367 @ SV73 @ SV198 )
!= ( k4_tarski @ SY862 @ SY863 ) ) ) )
= $true )
| ( ( ( sK46_SY482 @ SV198 @ SV73 )
= ( k4_tarski @ SV367 @ SV369 ) )
= $false )
| ( ( ~ ! [SY707: $i,SY708: $i] :
~ ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 ) )
| ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 ) ) ) )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8825]) ).
thf(8868,plain,
! [SV80: $i,SV284: $i,SV204: $i,SV324: $i,SV315: $i] :
( ( ( r2_hidden @ SV315 @ SV324 )
= $false )
| ( ( r2_hidden @ SV204 @ SV284 )
= $false )
| ( ( r2_hidden @ SV80 @ SV204 )
= $false )
| ( ( r2_hidden @ SV284 @ SV315 )
= $false )
| ( ( ~ ( r2_hidden @ SV324 @ SV80 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8826]) ).
thf(8869,plain,
! [SV337: $i,SV325: $i,SV316: $i,SV287: $i,SV207: $i,SV84: $i] :
( ( ( ~ ( r2_hidden @ SV84 @ SV207 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV207 @ SV287 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV287 @ SV316 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV316 @ SV325 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV325 @ SV337 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV337 @ SV84 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[8827]) ).
thf(8870,plain,
! [SV356: $i,SV93: $i,SV361: $i] :
( ( ( r2_hidden @ SV361 @ SV93 )
= $false )
| ( ( r2_hidden @ SV356 @ SV93 )
= $false )
| ( ( ~ ( ( SV356 != SV361 ) ) )
= $true )
| ( ( ~ ( v1_realset1 @ SV93 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8828]) ).
thf(8871,plain,
! [SV293: $i,SV104: $i,SV222: $i] :
( ( ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV222 )
= $false )
| ( ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV293 )
= $true )
| ( ( SV293
= ( k4_xboole_0 @ SV104 @ SV222 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8830]) ).
thf(8872,plain,
! [SV293: $i,SV104: $i,SV222: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV104 )
| ~ ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV222 ) ) )
= $true )
| ( ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV104 )
= $false )
| ( ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV222 )
= $true )
| ( ( SV293
= ( k4_xboole_0 @ SV104 @ SV222 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8831]) ).
thf(8873,plain,
! [SV256: $i,SV364: $i,SV148: $i,SV370: $i] :
( ( ( ~ ( r2_hidden @ SV370 @ SV148 ) )
= $true )
| ( ( r2_hidden @ SV364 @ SV370 )
= $true )
| ( ( r2_hidden @ SV364 @ SV256 )
= $false )
| ( ( SV256
= ( k1_setfam_1 @ SV148 ) )
= $false )
| ( ( SV148 = k1_xboole_0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[8833]) ).
thf(8874,plain,
! [SV148: $i,SV364: $i,SV256: $i] :
( ( ( ~ ( r2_hidden @ ( sK67_SY856 @ SV256 @ SV364 @ SV148 ) @ SV148 ) )
= $false )
| ( ( r2_hidden @ SV364 @ SV256 )
= $true )
| ( ( SV256
= ( k1_setfam_1 @ SV148 ) )
= $false )
| ( ( SV148 = k1_xboole_0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8834]) ).
thf(8875,plain,
! [SV148: $i,SV256: $i,SV364: $i] :
( ( ( r2_hidden @ SV364 @ ( sK67_SY856 @ SV256 @ SV364 @ SV148 ) )
= $false )
| ( ( r2_hidden @ SV364 @ SV256 )
= $true )
| ( ( SV256
= ( k1_setfam_1 @ SV148 ) )
= $false )
| ( ( SV148 = k1_xboole_0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8834]) ).
thf(8876,plain,
! [SV256: $i,SV148: $i] :
( ( ( ~ ! [SY858: $i] :
( ~ ( r2_hidden @ SY858 @ SV148 )
| ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ SY858 ) ) )
= $false )
| ( ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ SV256 )
= $true )
| ( ( SV256
= ( k1_setfam_1 @ SV148 ) )
= $true )
| ( ( SV148 = k1_xboole_0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8835]) ).
thf(8877,plain,
! [SV256: $i,SV148: $i] :
( ( ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ SV256 )
= $false )
| ( ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ SV256 )
= $true )
| ( ( SV256
= ( k1_setfam_1 @ SV148 ) )
= $true )
| ( ( SV148 = k1_xboole_0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8835]) ).
thf(8878,plain,
! [SV148: $i,SV256: $i] :
( ( ( r2_hidden @ ( sK65_SY857 @ SV256 @ SV148 ) @ SV148 )
= $true )
| ( ( ~ ( ~ ! [SY858: $i] :
( ~ ( r2_hidden @ SY858 @ SV148 )
| ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ SY858 ) )
| ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ SV256 ) ) )
= $true )
| ( ( SV256
= ( k1_setfam_1 @ SV148 ) )
= $true )
| ( ( SV148 = k1_xboole_0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8836]) ).
thf(8879,plain,
! [SV256: $i,SV148: $i] :
( ( ( ~ ! [SY858: $i] :
( ~ ( r2_hidden @ SY858 @ SV148 )
| ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ SY858 ) )
| ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ SV256 ) )
= $false )
| ( ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ ( sK65_SY857 @ SV256 @ SV148 ) )
= $false )
| ( ( SV256
= ( k1_setfam_1 @ SV148 ) )
= $true )
| ( ( SV148 = k1_xboole_0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8837]) ).
thf(8880,plain,
! [SV259: $i,SV151: $i] :
( ( ( ~ ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ ( sK64_SY850 @ SV259 @ SV151 ) ) )
= $false )
| ( ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SV259 )
= $true )
| ( ( SV259
= ( k3_tarski @ SV151 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8839]) ).
thf(8881,plain,
! [SV151: $i,SV259: $i] :
( ( ( ~ ( r2_hidden @ ( sK64_SY850 @ SV259 @ SV151 ) @ SV151 ) )
= $false )
| ( ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SV259 )
= $true )
| ( ( SV259
= ( k3_tarski @ SV151 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8839]) ).
thf(8882,plain,
! [SV365: $i,SV259: $i,SV151: $i] :
( ( ( ~ ~ ! [SY850: $i] :
~ ~ ( ~ ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SY850 )
| ~ ( r2_hidden @ SY850 @ SV151 ) ) )
= $false )
| ( ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SV365 )
= $false )
| ( ( r2_hidden @ SV365 @ SV151 )
= $false )
| ( ( SV259
= ( k3_tarski @ SV151 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8840]) ).
thf(8883,plain,
! [SV365: $i,SV259: $i,SV151: $i] :
( ( ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SV259 )
= $false )
| ( ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SV365 )
= $false )
| ( ( r2_hidden @ SV365 @ SV151 )
= $false )
| ( ( SV259
= ( k3_tarski @ SV151 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8840]) ).
thf(8884,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ( ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) )
| ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) ) ) )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $true )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8843]) ).
thf(8885,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV163 )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $true )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8844]) ).
thf(8886,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) )
| ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) ) )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $false )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8845]) ).
thf(8887,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) )
| ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) ) )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $true )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8847]) ).
thf(8888,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) ) )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $false )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8849]) ).
thf(8889,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) ) )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $false )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8849]) ).
thf(8890,plain,
! [SV310: $i,SV166: $i,SV267: $i,SV318: $i] :
( ( ( ~ ( v1_xboole_0 @ SV318 ) )
= $false )
| ( ( v1_xboole_0 @ SV267 )
= $true )
| ( ( v1_xboole_0 @ SV166 )
= $true )
| ( ( v1_xboole_0 @ SV310 )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k4_zfmisc_1 @ SV166 @ SV267 @ SV310 @ SV318 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8850]) ).
thf(8891,plain,
! [SV270: $i,SV43: $i,SV180: $i] :
( ( ( ~ ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV43 ) )
= $false )
| ( ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV43 )
= $false )
| ( ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV180 )
= $false )
| ( ( SV270
= ( k3_xboole_0 @ SV43 @ SV180 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8851]) ).
thf(8892,plain,
! [SV270: $i,SV43: $i,SV180: $i] :
( ( ( ~ ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV180 ) )
= $false )
| ( ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV43 )
= $false )
| ( ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV180 )
= $false )
| ( ( SV270
= ( k3_xboole_0 @ SV43 @ SV180 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8851]) ).
thf(8893,plain,
! [SV338: $i,SV49: $i,SV341: $i] :
( ( ( r2_hidden @ SV341 @ SV49 )
= $false )
| ( ( r2_hidden @ SV338 @ SV49 )
= $false )
| ( ( ~ ~ ( r2_hidden @ SV338 @ SV341 ) )
= $true )
| ( ( ~ ( ( SV338 != SV341 ) ) )
= $true )
| ( ( ~ ~ ( r2_hidden @ SV341 @ SV338 ) )
= $true )
| ( ( v2_ordinal1 @ SV49 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8852]) ).
thf(8894,plain,
! [SV187: $i,SV57: $i] :
( ( ( ~ ( r2_hidden @ ( sK63_SY690 @ SV57 @ SV187 ) @ SV187 ) )
= $false )
| ( ( ~ ( ~ ( p1_s3_xboole_0 @ ( sK63_SY690 @ SV57 @ SV187 ) )
| ( r2_hidden @ ( sK63_SY690 @ SV57 @ SV187 ) @ SV187 ) ) )
= $true )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $true )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $true )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8855]) ).
thf(8895,plain,
! [SV187: $i,SV57: $i] :
( ( ( p1_s3_xboole_0 @ ( sK63_SY690 @ SV57 @ SV187 ) )
= $false )
| ( ( ~ ( ~ ( p1_s3_xboole_0 @ ( sK63_SY690 @ SV57 @ SV187 ) )
| ( r2_hidden @ ( sK63_SY690 @ SV57 @ SV187 ) @ SV187 ) ) )
= $true )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $true )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $true )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8855]) ).
thf(8896,plain,
! [SV187: $i,SV57: $i] :
( ( ( r2_hidden @ ( sK59_SY690 @ SV57 @ SV187 ) @ SV187 )
= $true )
| ( ( ~ ( ~ ( p1_s3_xboole_0 @ ( sK59_SY690 @ SV57 @ SV187 ) )
| ( r2_hidden @ ( sK59_SY690 @ SV57 @ SV187 ) @ SV187 ) ) )
= $true )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $true )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $false )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8856]) ).
thf(8897,plain,
! [SV187: $i,SV57: $i] :
( ( ( ~ ( p1_s3_xboole_0 @ ( sK59_SY690 @ SV57 @ SV187 ) )
| ( r2_hidden @ ( sK59_SY690 @ SV57 @ SV187 ) @ SV187 ) )
= $false )
| ( ( p1_s3_xboole_0 @ ( sK59_SY690 @ SV57 @ SV187 ) )
= $false )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $true )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $false )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8857]) ).
thf(8898,plain,
! [SV187: $i,SV57: $i] :
( ( ( r2_hidden @ ( sK60_SY690 @ SV57 @ SV187 ) @ SV187 )
= $true )
| ( ( ~ ( ~ ( p1_s3_xboole_0 @ ( sK60_SY690 @ SV57 @ SV187 ) )
| ( r2_hidden @ ( sK60_SY690 @ SV57 @ SV187 ) @ SV187 ) ) )
= $true )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $false )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $true )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8858]) ).
thf(8899,plain,
! [SV187: $i,SV57: $i] :
( ( ( ~ ( p1_s3_xboole_0 @ ( sK60_SY690 @ SV57 @ SV187 ) )
| ( r2_hidden @ ( sK60_SY690 @ SV57 @ SV187 ) @ SV187 ) )
= $false )
| ( ( p1_s3_xboole_0 @ ( sK60_SY690 @ SV57 @ SV187 ) )
= $false )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $false )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $true )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8859]) ).
thf(8900,plain,
! [SV187: $i,SV57: $i] :
( ( ( ~ ( p1_s3_xboole_0 @ ( sK58_SY690 @ SV57 @ SV187 ) )
| ( r2_hidden @ ( sK58_SY690 @ SV57 @ SV187 ) @ SV187 ) )
= $false )
| ( ( r2_hidden @ ( sK58_SY690 @ SV57 @ SV187 ) @ SV187 )
= $true )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $false )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $false )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8860]) ).
thf(8901,plain,
! [SV187: $i,SV57: $i] :
( ( ( ~ ( p1_s3_xboole_0 @ ( sK58_SY690 @ SV57 @ SV187 ) ) )
= $false )
| ( ( p1_s3_xboole_0 @ ( sK58_SY690 @ SV57 @ SV187 ) )
= $false )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $false )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $false )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8861]) ).
thf(8902,plain,
! [SV187: $i,SV57: $i] :
( ( ( r2_hidden @ ( sK58_SY690 @ SV57 @ SV187 ) @ SV187 )
= $false )
| ( ( p1_s3_xboole_0 @ ( sK58_SY690 @ SV57 @ SV187 ) )
= $false )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $false )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $false )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8861]) ).
thf(8903,plain,
! [SV192: $i,SV65: $i,SV277: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK61_SY807 @ SV277 @ SV65 @ SV192 ) @ SV192 )
| ( SV65
!= ( sK61_SY807 @ SV277 @ SV65 @ SV192 ) ) )
= $false )
| ( ( r2_hidden @ SV65 @ ( a_2_0_closure3 @ SV192 @ SV277 ) )
= $false )
| ( ( v1_xboole_0 @ SV192 )
= $true )
| ( ( m1_pboole @ SV277 @ SV192 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8862]) ).
thf(8904,plain,
! [SV192: $i,SV65: $i,SV277: $i] :
( ( ( ( k1_funct_1 @ SV277 @ ( sK61_SY807 @ SV277 @ SV65 @ SV192 ) )
= k1_xboole_0 )
= $false )
| ( ( r2_hidden @ SV65 @ ( a_2_0_closure3 @ SV192 @ SV277 ) )
= $false )
| ( ( v1_xboole_0 @ SV192 )
= $true )
| ( ( m1_pboole @ SV277 @ SV192 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8863]) ).
thf(8905,plain,
! [SV277: $i,SV65: $i,SV192: $i,SV368: $i] :
( ( ( ~ ( m1_subset_1 @ SV368 @ SV192 )
| ( SV65 != SV368 ) )
= $true )
| ( ( ~ ( ( ( k1_funct_1 @ SV277 @ SV368 )
!= k1_xboole_0 ) ) )
= $true )
| ( ( r2_hidden @ SV65 @ ( a_2_0_closure3 @ SV192 @ SV277 ) )
= $true )
| ( ( v1_xboole_0 @ SV192 )
= $true )
| ( ( m1_pboole @ SV277 @ SV192 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8864]) ).
thf(8906,plain,
! [SV198: $i,SV73: $i] :
( ( ( ! [SY707: $i,SY708: $i] :
~ ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 ) )
| ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 ) ) ) )
= $false )
| ( ( r2_hidden @ ( sK46_SY482 @ SV198 @ SV73 ) @ SV73 )
= $true )
| ( ( r2_hidden @ ( sK62_SY704 @ SV73 @ SV198 ) @ SV198 )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8865]) ).
thf(8907,plain,
! [SV371: $i,SV198: $i,SV73: $i] :
( ( ( ! [SY864: $i] :
( ( sK62_SY704 @ SV73 @ SV198 )
!= ( k4_tarski @ SV371 @ SY864 ) ) )
= $true )
| ( ( r2_hidden @ ( sK46_SY482 @ SV198 @ SV73 ) @ SV73 )
= $true )
| ( ( ~ ! [SY707: $i,SY708: $i] :
~ ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 ) )
| ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 ) ) ) )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[8866]) ).
thf(8908,plain,
! [SV198: $i,SV73: $i,SV367: $i,SV369: $i] :
( ( ( ~ ( r2_hidden @ ( sK66_SY704 @ SV369 @ SV367 @ SV73 @ SV198 ) @ SV198 )
| ~ ! [SY862: $i,SY863: $i] :
( ( sK66_SY704 @ SV369 @ SV367 @ SV73 @ SV198 )
!= ( k4_tarski @ SY862 @ SY863 ) ) )
= $false )
| ( ( ( sK46_SY482 @ SV198 @ SV73 )
= ( k4_tarski @ SV367 @ SV369 ) )
= $false )
| ( ( ~ ! [SY707: $i,SY708: $i] :
~ ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 ) )
| ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 ) ) ) )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8867]) ).
thf(8909,plain,
! [SV204: $i,SV315: $i,SV284: $i,SV80: $i,SV324: $i] :
( ( ( r2_hidden @ SV324 @ SV80 )
= $false )
| ( ( r2_hidden @ SV284 @ SV315 )
= $false )
| ( ( r2_hidden @ SV80 @ SV204 )
= $false )
| ( ( r2_hidden @ SV204 @ SV284 )
= $false )
| ( ( r2_hidden @ SV315 @ SV324 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8868]) ).
thf(8910,plain,
! [SV337: $i,SV325: $i,SV316: $i,SV287: $i,SV207: $i,SV84: $i] :
( ( ( r2_hidden @ SV84 @ SV207 )
= $false )
| ( ( ~ ( r2_hidden @ SV207 @ SV287 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV287 @ SV316 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV316 @ SV325 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV325 @ SV337 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV337 @ SV84 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8869]) ).
thf(8911,plain,
! [SV93: $i,SV361: $i,SV356: $i] :
( ( ( SV356 != SV361 )
= $false )
| ( ( r2_hidden @ SV356 @ SV93 )
= $false )
| ( ( r2_hidden @ SV361 @ SV93 )
= $false )
| ( ( ~ ( v1_realset1 @ SV93 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8870]) ).
thf(8912,plain,
! [SV293: $i,SV104: $i,SV222: $i] :
( ( ( ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV104 )
| ~ ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV222 ) )
= $false )
| ( ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV104 )
= $false )
| ( ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV222 )
= $true )
| ( ( SV293
= ( k4_xboole_0 @ SV104 @ SV222 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8872]) ).
thf(8913,plain,
! [SV256: $i,SV364: $i,SV148: $i,SV370: $i] :
( ( ( r2_hidden @ SV370 @ SV148 )
= $false )
| ( ( r2_hidden @ SV364 @ SV370 )
= $true )
| ( ( r2_hidden @ SV364 @ SV256 )
= $false )
| ( ( SV256
= ( k1_setfam_1 @ SV148 ) )
= $false )
| ( ( SV148 = k1_xboole_0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8873]) ).
thf(8914,plain,
! [SV148: $i,SV364: $i,SV256: $i] :
( ( ( r2_hidden @ ( sK67_SY856 @ SV256 @ SV364 @ SV148 ) @ SV148 )
= $true )
| ( ( r2_hidden @ SV364 @ SV256 )
= $true )
| ( ( SV256
= ( k1_setfam_1 @ SV148 ) )
= $false )
| ( ( SV148 = k1_xboole_0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8874]) ).
thf(8915,plain,
! [SV256: $i,SV148: $i] :
( ( ( ! [SY858: $i] :
( ~ ( r2_hidden @ SY858 @ SV148 )
| ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ SY858 ) ) )
= $true )
| ( ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ SV256 )
= $true )
| ( ( SV256
= ( k1_setfam_1 @ SV148 ) )
= $true )
| ( ( SV148 = k1_xboole_0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8876]) ).
thf(8916,plain,
! [SV256: $i,SV148: $i] :
( ( ( ~ ! [SY858: $i] :
( ~ ( r2_hidden @ SY858 @ SV148 )
| ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ SY858 ) )
| ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ SV256 ) )
= $false )
| ( ( r2_hidden @ ( sK65_SY857 @ SV256 @ SV148 ) @ SV148 )
= $true )
| ( ( SV256
= ( k1_setfam_1 @ SV148 ) )
= $true )
| ( ( SV148 = k1_xboole_0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8878]) ).
thf(8917,plain,
! [SV256: $i,SV148: $i] :
( ( ( ~ ! [SY858: $i] :
( ~ ( r2_hidden @ SY858 @ SV148 )
| ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ SY858 ) ) )
= $false )
| ( ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ ( sK65_SY857 @ SV256 @ SV148 ) )
= $false )
| ( ( SV256
= ( k1_setfam_1 @ SV148 ) )
= $true )
| ( ( SV148 = k1_xboole_0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8879]) ).
thf(8918,plain,
! [SV256: $i,SV148: $i] :
( ( ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ SV256 )
= $false )
| ( ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ ( sK65_SY857 @ SV256 @ SV148 ) )
= $false )
| ( ( SV256
= ( k1_setfam_1 @ SV148 ) )
= $true )
| ( ( SV148 = k1_xboole_0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8879]) ).
thf(8919,plain,
! [SV259: $i,SV151: $i] :
( ( ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ ( sK64_SY850 @ SV259 @ SV151 ) )
= $true )
| ( ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SV259 )
= $true )
| ( ( SV259
= ( k3_tarski @ SV151 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8880]) ).
thf(8920,plain,
! [SV151: $i,SV259: $i] :
( ( ( r2_hidden @ ( sK64_SY850 @ SV259 @ SV151 ) @ SV151 )
= $true )
| ( ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SV259 )
= $true )
| ( ( SV259
= ( k3_tarski @ SV151 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8881]) ).
thf(8921,plain,
! [SV365: $i,SV259: $i,SV151: $i] :
( ( ( ~ ! [SY850: $i] :
~ ~ ( ~ ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SY850 )
| ~ ( r2_hidden @ SY850 @ SV151 ) ) )
= $true )
| ( ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SV365 )
= $false )
| ( ( r2_hidden @ SV365 @ SV151 )
= $false )
| ( ( SV259
= ( k3_tarski @ SV151 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8882]) ).
thf(8922,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) )
| ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) ) )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $true )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8884]) ).
thf(8923,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) ) )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $false )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8886]) ).
thf(8924,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) ) )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $false )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8886]) ).
thf(8925,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) ) )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $true )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8887]) ).
thf(8926,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) ) )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $true )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8887]) ).
thf(8927,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $false )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8888]) ).
thf(8928,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $false )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8889]) ).
thf(8929,plain,
! [SV310: $i,SV166: $i,SV267: $i,SV318: $i] :
( ( ( v1_xboole_0 @ SV318 )
= $true )
| ( ( v1_xboole_0 @ SV267 )
= $true )
| ( ( v1_xboole_0 @ SV166 )
= $true )
| ( ( v1_xboole_0 @ SV310 )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k4_zfmisc_1 @ SV166 @ SV267 @ SV310 @ SV318 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8890]) ).
thf(8930,plain,
! [SV270: $i,SV43: $i,SV180: $i] :
( ( ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV43 )
= $true )
| ( ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV43 )
= $false )
| ( ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV180 )
= $false )
| ( ( SV270
= ( k3_xboole_0 @ SV43 @ SV180 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8891]) ).
thf(8931,plain,
! [SV270: $i,SV43: $i,SV180: $i] :
( ( ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV180 )
= $true )
| ( ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV43 )
= $false )
| ( ( r2_hidden @ ( sK37_SY804 @ SV180 @ SV43 @ SV270 ) @ SV180 )
= $false )
| ( ( SV270
= ( k3_xboole_0 @ SV43 @ SV180 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8892]) ).
thf(8932,plain,
! [SV49: $i,SV341: $i,SV338: $i] :
( ( ( ~ ( r2_hidden @ SV338 @ SV341 ) )
= $false )
| ( ( r2_hidden @ SV338 @ SV49 )
= $false )
| ( ( r2_hidden @ SV341 @ SV49 )
= $false )
| ( ( ~ ( ( SV338 != SV341 ) ) )
= $true )
| ( ( ~ ~ ( r2_hidden @ SV341 @ SV338 ) )
= $true )
| ( ( v2_ordinal1 @ SV49 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8893]) ).
thf(8933,plain,
! [SV187: $i,SV57: $i] :
( ( ( r2_hidden @ ( sK63_SY690 @ SV57 @ SV187 ) @ SV187 )
= $true )
| ( ( ~ ( ~ ( p1_s3_xboole_0 @ ( sK63_SY690 @ SV57 @ SV187 ) )
| ( r2_hidden @ ( sK63_SY690 @ SV57 @ SV187 ) @ SV187 ) ) )
= $true )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $true )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $true )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8894]) ).
thf(8934,plain,
! [SV187: $i,SV57: $i] :
( ( ( ~ ( p1_s3_xboole_0 @ ( sK63_SY690 @ SV57 @ SV187 ) )
| ( r2_hidden @ ( sK63_SY690 @ SV57 @ SV187 ) @ SV187 ) )
= $false )
| ( ( p1_s3_xboole_0 @ ( sK63_SY690 @ SV57 @ SV187 ) )
= $false )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $true )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $true )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8895]) ).
thf(8935,plain,
! [SV187: $i,SV57: $i] :
( ( ( ~ ( p1_s3_xboole_0 @ ( sK59_SY690 @ SV57 @ SV187 ) )
| ( r2_hidden @ ( sK59_SY690 @ SV57 @ SV187 ) @ SV187 ) )
= $false )
| ( ( r2_hidden @ ( sK59_SY690 @ SV57 @ SV187 ) @ SV187 )
= $true )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $true )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $false )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8896]) ).
thf(8936,plain,
! [SV187: $i,SV57: $i] :
( ( ( ~ ( p1_s3_xboole_0 @ ( sK59_SY690 @ SV57 @ SV187 ) ) )
= $false )
| ( ( p1_s3_xboole_0 @ ( sK59_SY690 @ SV57 @ SV187 ) )
= $false )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $true )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $false )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8897]) ).
thf(8937,plain,
! [SV187: $i,SV57: $i] :
( ( ( r2_hidden @ ( sK59_SY690 @ SV57 @ SV187 ) @ SV187 )
= $false )
| ( ( p1_s3_xboole_0 @ ( sK59_SY690 @ SV57 @ SV187 ) )
= $false )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $true )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $false )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8897]) ).
thf(8938,plain,
! [SV187: $i,SV57: $i] :
( ( ( ~ ( p1_s3_xboole_0 @ ( sK60_SY690 @ SV57 @ SV187 ) )
| ( r2_hidden @ ( sK60_SY690 @ SV57 @ SV187 ) @ SV187 ) )
= $false )
| ( ( r2_hidden @ ( sK60_SY690 @ SV57 @ SV187 ) @ SV187 )
= $true )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $false )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $true )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8898]) ).
thf(8939,plain,
! [SV187: $i,SV57: $i] :
( ( ( ~ ( p1_s3_xboole_0 @ ( sK60_SY690 @ SV57 @ SV187 ) ) )
= $false )
| ( ( p1_s3_xboole_0 @ ( sK60_SY690 @ SV57 @ SV187 ) )
= $false )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $false )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $true )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8899]) ).
thf(8940,plain,
! [SV187: $i,SV57: $i] :
( ( ( r2_hidden @ ( sK60_SY690 @ SV57 @ SV187 ) @ SV187 )
= $false )
| ( ( p1_s3_xboole_0 @ ( sK60_SY690 @ SV57 @ SV187 ) )
= $false )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $false )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $true )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8899]) ).
thf(8941,plain,
! [SV187: $i,SV57: $i] :
( ( ( ~ ( p1_s3_xboole_0 @ ( sK58_SY690 @ SV57 @ SV187 ) ) )
= $false )
| ( ( r2_hidden @ ( sK58_SY690 @ SV57 @ SV187 ) @ SV187 )
= $true )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $false )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $false )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8900]) ).
thf(8942,plain,
! [SV187: $i,SV57: $i] :
( ( ( r2_hidden @ ( sK58_SY690 @ SV57 @ SV187 ) @ SV187 )
= $false )
| ( ( r2_hidden @ ( sK58_SY690 @ SV57 @ SV187 ) @ SV187 )
= $true )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $false )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $false )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8900]) ).
thf(8943,plain,
! [SV187: $i,SV57: $i] :
( ( ( p1_s3_xboole_0 @ ( sK58_SY690 @ SV57 @ SV187 ) )
= $true )
| ( ( p1_s3_xboole_0 @ ( sK58_SY690 @ SV57 @ SV187 ) )
= $false )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $false )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $false )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8901]) ).
thf(8944,plain,
! [SV192: $i,SV65: $i,SV277: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK61_SY807 @ SV277 @ SV65 @ SV192 ) @ SV192 ) )
= $false )
| ( ( r2_hidden @ SV65 @ ( a_2_0_closure3 @ SV192 @ SV277 ) )
= $false )
| ( ( v1_xboole_0 @ SV192 )
= $true )
| ( ( m1_pboole @ SV277 @ SV192 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8903]) ).
thf(8945,plain,
! [SV192: $i,SV277: $i,SV65: $i] :
( ( ( SV65
!= ( sK61_SY807 @ SV277 @ SV65 @ SV192 ) )
= $false )
| ( ( r2_hidden @ SV65 @ ( a_2_0_closure3 @ SV192 @ SV277 ) )
= $false )
| ( ( v1_xboole_0 @ SV192 )
= $true )
| ( ( m1_pboole @ SV277 @ SV192 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8903]) ).
thf(8946,plain,
! [SV277: $i,SV65: $i,SV192: $i,SV368: $i] :
( ( ( ~ ( m1_subset_1 @ SV368 @ SV192 ) )
= $true )
| ( ( SV65 != SV368 )
= $true )
| ( ( ~ ( ( ( k1_funct_1 @ SV277 @ SV368 )
!= k1_xboole_0 ) ) )
= $true )
| ( ( r2_hidden @ SV65 @ ( a_2_0_closure3 @ SV192 @ SV277 ) )
= $true )
| ( ( v1_xboole_0 @ SV192 )
= $true )
| ( ( m1_pboole @ SV277 @ SV192 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[8905]) ).
thf(8947,plain,
! [SV73: $i,SV198: $i] :
( ( ( ! [SY865: $i] :
~ ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ ( sK68_SY707 @ SV198 @ SV73 ) @ SY865 ) @ SV73 )
| ( r2_hidden @ ( k4_tarski @ ( sK68_SY707 @ SV198 @ SV73 ) @ SY865 ) @ SV198 ) )
| ~ ( ~ ( r2_hidden @ ( k4_tarski @ ( sK68_SY707 @ SV198 @ SV73 ) @ SY865 ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ ( sK68_SY707 @ SV198 @ SV73 ) @ SY865 ) @ SV73 ) ) ) )
= $false )
| ( ( r2_hidden @ ( sK46_SY482 @ SV198 @ SV73 ) @ SV73 )
= $true )
| ( ( r2_hidden @ ( sK62_SY704 @ SV73 @ SV198 ) @ SV198 )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[8906]) ).
thf(8948,plain,
! [SV372: $i,SV371: $i,SV198: $i,SV73: $i] :
( ( ( ( sK62_SY704 @ SV73 @ SV198 )
!= ( k4_tarski @ SV371 @ SV372 ) )
= $true )
| ( ( r2_hidden @ ( sK46_SY482 @ SV198 @ SV73 ) @ SV73 )
= $true )
| ( ( ~ ! [SY707: $i,SY708: $i] :
~ ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 ) )
| ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 ) ) ) )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[8907]) ).
thf(8949,plain,
! [SV198: $i,SV73: $i,SV367: $i,SV369: $i] :
( ( ( ~ ( r2_hidden @ ( sK66_SY704 @ SV369 @ SV367 @ SV73 @ SV198 ) @ SV198 ) )
= $false )
| ( ( ( sK46_SY482 @ SV198 @ SV73 )
= ( k4_tarski @ SV367 @ SV369 ) )
= $false )
| ( ( ~ ! [SY707: $i,SY708: $i] :
~ ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 ) )
| ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 ) ) ) )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8908]) ).
thf(8950,plain,
! [SV198: $i,SV73: $i,SV367: $i,SV369: $i] :
( ( ( ~ ! [SY862: $i,SY863: $i] :
( ( sK66_SY704 @ SV369 @ SV367 @ SV73 @ SV198 )
!= ( k4_tarski @ SY862 @ SY863 ) ) )
= $false )
| ( ( ( sK46_SY482 @ SV198 @ SV73 )
= ( k4_tarski @ SV367 @ SV369 ) )
= $false )
| ( ( ~ ! [SY707: $i,SY708: $i] :
~ ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 ) )
| ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 ) ) ) )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8908]) ).
thf(8951,plain,
! [SV337: $i,SV325: $i,SV316: $i,SV84: $i,SV287: $i,SV207: $i] :
( ( ( r2_hidden @ SV207 @ SV287 )
= $false )
| ( ( r2_hidden @ SV84 @ SV207 )
= $false )
| ( ( ~ ( r2_hidden @ SV287 @ SV316 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV316 @ SV325 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV325 @ SV337 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV337 @ SV84 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8910]) ).
thf(8952,plain,
! [SV93: $i,SV361: $i,SV356: $i] :
( ( ( SV356 = SV361 )
= $true )
| ( ( r2_hidden @ SV356 @ SV93 )
= $false )
| ( ( r2_hidden @ SV361 @ SV93 )
= $false )
| ( ( ~ ( v1_realset1 @ SV93 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8911]) ).
thf(8953,plain,
! [SV293: $i,SV104: $i,SV222: $i] :
( ( ( ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV104 ) )
= $false )
| ( ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV104 )
= $false )
| ( ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV222 )
= $true )
| ( ( SV293
= ( k4_xboole_0 @ SV104 @ SV222 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8912]) ).
thf(8954,plain,
! [SV293: $i,SV104: $i,SV222: $i] :
( ( ( ~ ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV222 ) )
= $false )
| ( ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV104 )
= $false )
| ( ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV222 )
= $true )
| ( ( SV293
= ( k4_xboole_0 @ SV104 @ SV222 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8912]) ).
thf(8955,plain,
! [SV256: $i,SV148: $i,SV373: $i] :
( ( ( ~ ( r2_hidden @ SV373 @ SV148 )
| ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ SV373 ) )
= $true )
| ( ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ SV256 )
= $true )
| ( ( SV256
= ( k1_setfam_1 @ SV148 ) )
= $true )
| ( ( SV148 = k1_xboole_0 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[8915]) ).
thf(8956,plain,
! [SV256: $i,SV148: $i] :
( ( ( ~ ! [SY858: $i] :
( ~ ( r2_hidden @ SY858 @ SV148 )
| ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ SY858 ) ) )
= $false )
| ( ( r2_hidden @ ( sK65_SY857 @ SV256 @ SV148 ) @ SV148 )
= $true )
| ( ( SV256
= ( k1_setfam_1 @ SV148 ) )
= $true )
| ( ( SV148 = k1_xboole_0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8916]) ).
thf(8957,plain,
! [SV256: $i,SV148: $i] :
( ( ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ SV256 )
= $false )
| ( ( r2_hidden @ ( sK65_SY857 @ SV256 @ SV148 ) @ SV148 )
= $true )
| ( ( SV256
= ( k1_setfam_1 @ SV148 ) )
= $true )
| ( ( SV148 = k1_xboole_0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8916]) ).
thf(8958,plain,
! [SV256: $i,SV148: $i] :
( ( ( ! [SY858: $i] :
( ~ ( r2_hidden @ SY858 @ SV148 )
| ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ SY858 ) ) )
= $true )
| ( ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ ( sK65_SY857 @ SV256 @ SV148 ) )
= $false )
| ( ( SV256
= ( k1_setfam_1 @ SV148 ) )
= $true )
| ( ( SV148 = k1_xboole_0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8917]) ).
thf(8959,plain,
! [SV365: $i,SV259: $i,SV151: $i] :
( ( ( ! [SY850: $i] :
~ ~ ( ~ ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SY850 )
| ~ ( r2_hidden @ SY850 @ SV151 ) ) )
= $false )
| ( ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SV365 )
= $false )
| ( ( r2_hidden @ SV365 @ SV151 )
= $false )
| ( ( SV259
= ( k3_tarski @ SV151 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8921]) ).
thf(8960,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) ) )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $true )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8922]) ).
thf(8961,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) ) )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $true )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8922]) ).
thf(8962,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $false )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8923]) ).
thf(8963,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $false )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8924]) ).
thf(8964,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $true )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8925]) ).
thf(8965,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $true )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8926]) ).
thf(8966,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $false )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[8927]) ).
thf(8967,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $false )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[8928]) ).
thf(8968,plain,
! [SV318: $i,SV310: $i,SV267: $i,SV166: $i] :
( ( ( v1_xboole_0 @ ( k4_zfmisc_1 @ SV166 @ SV267 @ SV310 @ SV318 ) )
= $false )
| ( ( v1_xboole_0 @ SV310 )
= $true )
| ( ( v1_xboole_0 @ SV166 )
= $true )
| ( ( v1_xboole_0 @ SV267 )
= $true )
| ( ( v1_xboole_0 @ SV318 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8929]) ).
thf(8969,plain,
! [SV49: $i,SV341: $i,SV338: $i] :
( ( ( r2_hidden @ SV338 @ SV341 )
= $true )
| ( ( r2_hidden @ SV338 @ SV49 )
= $false )
| ( ( r2_hidden @ SV341 @ SV49 )
= $false )
| ( ( ~ ( ( SV338 != SV341 ) ) )
= $true )
| ( ( ~ ~ ( r2_hidden @ SV341 @ SV338 ) )
= $true )
| ( ( v2_ordinal1 @ SV49 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8932]) ).
thf(8970,plain,
! [SV187: $i,SV57: $i] :
( ( ( ~ ( p1_s3_xboole_0 @ ( sK63_SY690 @ SV57 @ SV187 ) )
| ( r2_hidden @ ( sK63_SY690 @ SV57 @ SV187 ) @ SV187 ) )
= $false )
| ( ( r2_hidden @ ( sK63_SY690 @ SV57 @ SV187 ) @ SV187 )
= $true )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $true )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $true )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8933]) ).
thf(8971,plain,
! [SV187: $i,SV57: $i] :
( ( ( ~ ( p1_s3_xboole_0 @ ( sK63_SY690 @ SV57 @ SV187 ) ) )
= $false )
| ( ( p1_s3_xboole_0 @ ( sK63_SY690 @ SV57 @ SV187 ) )
= $false )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $true )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $true )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8934]) ).
thf(8972,plain,
! [SV187: $i,SV57: $i] :
( ( ( r2_hidden @ ( sK63_SY690 @ SV57 @ SV187 ) @ SV187 )
= $false )
| ( ( p1_s3_xboole_0 @ ( sK63_SY690 @ SV57 @ SV187 ) )
= $false )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $true )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $true )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8934]) ).
thf(8973,plain,
! [SV187: $i,SV57: $i] :
( ( ( ~ ( p1_s3_xboole_0 @ ( sK59_SY690 @ SV57 @ SV187 ) ) )
= $false )
| ( ( r2_hidden @ ( sK59_SY690 @ SV57 @ SV187 ) @ SV187 )
= $true )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $true )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $false )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8935]) ).
thf(8974,plain,
! [SV187: $i,SV57: $i] :
( ( ( r2_hidden @ ( sK59_SY690 @ SV57 @ SV187 ) @ SV187 )
= $false )
| ( ( r2_hidden @ ( sK59_SY690 @ SV57 @ SV187 ) @ SV187 )
= $true )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $true )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $false )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8935]) ).
thf(8975,plain,
! [SV187: $i,SV57: $i] :
( ( ( p1_s3_xboole_0 @ ( sK59_SY690 @ SV57 @ SV187 ) )
= $true )
| ( ( p1_s3_xboole_0 @ ( sK59_SY690 @ SV57 @ SV187 ) )
= $false )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $true )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $false )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8936]) ).
thf(8976,plain,
! [SV187: $i,SV57: $i] :
( ( ( ~ ( p1_s3_xboole_0 @ ( sK60_SY690 @ SV57 @ SV187 ) ) )
= $false )
| ( ( r2_hidden @ ( sK60_SY690 @ SV57 @ SV187 ) @ SV187 )
= $true )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $false )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $true )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8938]) ).
thf(8977,plain,
! [SV187: $i,SV57: $i] :
( ( ( r2_hidden @ ( sK60_SY690 @ SV57 @ SV187 ) @ SV187 )
= $false )
| ( ( r2_hidden @ ( sK60_SY690 @ SV57 @ SV187 ) @ SV187 )
= $true )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $false )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $true )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8938]) ).
thf(8978,plain,
! [SV187: $i,SV57: $i] :
( ( ( p1_s3_xboole_0 @ ( sK60_SY690 @ SV57 @ SV187 ) )
= $true )
| ( ( p1_s3_xboole_0 @ ( sK60_SY690 @ SV57 @ SV187 ) )
= $false )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $false )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $true )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8939]) ).
thf(8979,plain,
! [SV187: $i,SV57: $i] :
( ( ( p1_s3_xboole_0 @ ( sK58_SY690 @ SV57 @ SV187 ) )
= $true )
| ( ( r2_hidden @ ( sK58_SY690 @ SV57 @ SV187 ) @ SV187 )
= $true )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $false )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $false )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8941]) ).
thf(8980,plain,
! [SV192: $i,SV65: $i,SV277: $i] :
( ( ( m1_subset_1 @ ( sK61_SY807 @ SV277 @ SV65 @ SV192 ) @ SV192 )
= $true )
| ( ( r2_hidden @ SV65 @ ( a_2_0_closure3 @ SV192 @ SV277 ) )
= $false )
| ( ( v1_xboole_0 @ SV192 )
= $true )
| ( ( m1_pboole @ SV277 @ SV192 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8944]) ).
thf(8981,plain,
! [SV192: $i,SV277: $i,SV65: $i] :
( ( ( SV65
= ( sK61_SY807 @ SV277 @ SV65 @ SV192 ) )
= $true )
| ( ( r2_hidden @ SV65 @ ( a_2_0_closure3 @ SV192 @ SV277 ) )
= $false )
| ( ( v1_xboole_0 @ SV192 )
= $true )
| ( ( m1_pboole @ SV277 @ SV192 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8945]) ).
thf(8982,plain,
! [SV277: $i,SV65: $i,SV192: $i,SV368: $i] :
( ( ( m1_subset_1 @ SV368 @ SV192 )
= $false )
| ( ( SV65 != SV368 )
= $true )
| ( ( ~ ( ( ( k1_funct_1 @ SV277 @ SV368 )
!= k1_xboole_0 ) ) )
= $true )
| ( ( r2_hidden @ SV65 @ ( a_2_0_closure3 @ SV192 @ SV277 ) )
= $true )
| ( ( v1_xboole_0 @ SV192 )
= $true )
| ( ( m1_pboole @ SV277 @ SV192 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8946]) ).
thf(8983,plain,
! [SV73: $i,SV198: $i] :
( ( ( ~ ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ ( sK68_SY707 @ SV198 @ SV73 ) @ ( sK69_SY865 @ SV73 @ SV198 ) ) @ SV73 )
| ( r2_hidden @ ( k4_tarski @ ( sK68_SY707 @ SV198 @ SV73 ) @ ( sK69_SY865 @ SV73 @ SV198 ) ) @ SV198 ) )
| ~ ( ~ ( r2_hidden @ ( k4_tarski @ ( sK68_SY707 @ SV198 @ SV73 ) @ ( sK69_SY865 @ SV73 @ SV198 ) ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ ( sK68_SY707 @ SV198 @ SV73 ) @ ( sK69_SY865 @ SV73 @ SV198 ) ) @ SV73 ) ) ) )
= $false )
| ( ( r2_hidden @ ( sK46_SY482 @ SV198 @ SV73 ) @ SV73 )
= $true )
| ( ( r2_hidden @ ( sK62_SY704 @ SV73 @ SV198 ) @ SV198 )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[8947]) ).
thf(8984,plain,
! [SV372: $i,SV371: $i,SV198: $i,SV73: $i] :
( ( ( ( sK62_SY704 @ SV73 @ SV198 )
= ( k4_tarski @ SV371 @ SV372 ) )
= $false )
| ( ( r2_hidden @ ( sK46_SY482 @ SV198 @ SV73 ) @ SV73 )
= $true )
| ( ( ~ ! [SY707: $i,SY708: $i] :
~ ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 ) )
| ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 ) ) ) )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8948]) ).
thf(8985,plain,
! [SV198: $i,SV73: $i,SV367: $i,SV369: $i] :
( ( ( r2_hidden @ ( sK66_SY704 @ SV369 @ SV367 @ SV73 @ SV198 ) @ SV198 )
= $true )
| ( ( ( sK46_SY482 @ SV198 @ SV73 )
= ( k4_tarski @ SV367 @ SV369 ) )
= $false )
| ( ( ~ ! [SY707: $i,SY708: $i] :
~ ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 ) )
| ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 ) ) ) )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8949]) ).
thf(8986,plain,
! [SV198: $i,SV73: $i,SV367: $i,SV369: $i] :
( ( ( ! [SY862: $i,SY863: $i] :
( ( sK66_SY704 @ SV369 @ SV367 @ SV73 @ SV198 )
!= ( k4_tarski @ SY862 @ SY863 ) ) )
= $true )
| ( ( ( sK46_SY482 @ SV198 @ SV73 )
= ( k4_tarski @ SV367 @ SV369 ) )
= $false )
| ( ( ~ ! [SY707: $i,SY708: $i] :
~ ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 ) )
| ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 ) ) ) )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8950]) ).
thf(8987,plain,
! [SV337: $i,SV325: $i,SV207: $i,SV84: $i,SV316: $i,SV287: $i] :
( ( ( r2_hidden @ SV287 @ SV316 )
= $false )
| ( ( r2_hidden @ SV84 @ SV207 )
= $false )
| ( ( r2_hidden @ SV207 @ SV287 )
= $false )
| ( ( ~ ( r2_hidden @ SV316 @ SV325 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV325 @ SV337 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV337 @ SV84 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8951]) ).
thf(8988,plain,
! [SV356: $i,SV361: $i,SV93: $i] :
( ( ( v1_realset1 @ SV93 )
= $false )
| ( ( r2_hidden @ SV361 @ SV93 )
= $false )
| ( ( r2_hidden @ SV356 @ SV93 )
= $false )
| ( ( SV356 = SV361 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8952]) ).
thf(8989,plain,
! [SV293: $i,SV104: $i,SV222: $i] :
( ( ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV104 )
= $true )
| ( ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV104 )
= $false )
| ( ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV222 )
= $true )
| ( ( SV293
= ( k4_xboole_0 @ SV104 @ SV222 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8953]) ).
thf(8990,plain,
! [SV293: $i,SV104: $i,SV222: $i] :
( ( ( ~ ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV222 ) )
= $true )
| ( ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV104 )
= $false )
| ( ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV222 )
= $true )
| ( ( SV293
= ( k4_xboole_0 @ SV104 @ SV222 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8954]) ).
thf(8991,plain,
! [SV256: $i,SV148: $i,SV373: $i] :
( ( ( ~ ( r2_hidden @ SV373 @ SV148 ) )
= $true )
| ( ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ SV373 )
= $true )
| ( ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ SV256 )
= $true )
| ( ( SV256
= ( k1_setfam_1 @ SV148 ) )
= $true )
| ( ( SV148 = k1_xboole_0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[8955]) ).
thf(8992,plain,
! [SV256: $i,SV148: $i] :
( ( ( ! [SY858: $i] :
( ~ ( r2_hidden @ SY858 @ SV148 )
| ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ SY858 ) ) )
= $true )
| ( ( r2_hidden @ ( sK65_SY857 @ SV256 @ SV148 ) @ SV148 )
= $true )
| ( ( SV256
= ( k1_setfam_1 @ SV148 ) )
= $true )
| ( ( SV148 = k1_xboole_0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8956]) ).
thf(8993,plain,
! [SV256: $i,SV148: $i,SV374: $i] :
( ( ( ~ ( r2_hidden @ SV374 @ SV148 )
| ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ SV374 ) )
= $true )
| ( ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ ( sK65_SY857 @ SV256 @ SV148 ) )
= $false )
| ( ( SV256
= ( k1_setfam_1 @ SV148 ) )
= $true )
| ( ( SV148 = k1_xboole_0 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[8958]) ).
thf(8994,plain,
! [SV365: $i,SV259: $i,SV151: $i] :
( ( ( ~ ~ ( ~ ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ ( sK70_SY850 @ SV365 @ SV259 @ SV151 ) )
| ~ ( r2_hidden @ ( sK70_SY850 @ SV365 @ SV259 @ SV151 ) @ SV151 ) ) )
= $false )
| ( ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SV365 )
= $false )
| ( ( r2_hidden @ SV365 @ SV151 )
= $false )
| ( ( SV259
= ( k3_tarski @ SV151 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[8959]) ).
thf(8995,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $true )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8960]) ).
thf(8996,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
| ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $true )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8961]) ).
thf(8997,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $false )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[8962]) ).
thf(8998,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $false )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[8963]) ).
thf(8999,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $true )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[8964]) ).
thf(9000,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $true )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[8965]) ).
thf(9001,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $false )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8966]) ).
thf(9002,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $false )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8967]) ).
thf(9003,plain,
! [SV49: $i,SV341: $i,SV338: $i] :
( ( ( SV338 != SV341 )
= $false )
| ( ( r2_hidden @ SV341 @ SV49 )
= $false )
| ( ( r2_hidden @ SV338 @ SV49 )
= $false )
| ( ( r2_hidden @ SV338 @ SV341 )
= $true )
| ( ( ~ ~ ( r2_hidden @ SV341 @ SV338 ) )
= $true )
| ( ( v2_ordinal1 @ SV49 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8969]) ).
thf(9004,plain,
! [SV187: $i,SV57: $i] :
( ( ( ~ ( p1_s3_xboole_0 @ ( sK63_SY690 @ SV57 @ SV187 ) ) )
= $false )
| ( ( r2_hidden @ ( sK63_SY690 @ SV57 @ SV187 ) @ SV187 )
= $true )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $true )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $true )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8970]) ).
thf(9005,plain,
! [SV187: $i,SV57: $i] :
( ( ( r2_hidden @ ( sK63_SY690 @ SV57 @ SV187 ) @ SV187 )
= $false )
| ( ( r2_hidden @ ( sK63_SY690 @ SV57 @ SV187 ) @ SV187 )
= $true )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $true )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $true )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[8970]) ).
thf(9006,plain,
! [SV187: $i,SV57: $i] :
( ( ( p1_s3_xboole_0 @ ( sK63_SY690 @ SV57 @ SV187 ) )
= $true )
| ( ( p1_s3_xboole_0 @ ( sK63_SY690 @ SV57 @ SV187 ) )
= $false )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $true )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $true )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8971]) ).
thf(9007,plain,
! [SV187: $i,SV57: $i] :
( ( ( p1_s3_xboole_0 @ ( sK59_SY690 @ SV57 @ SV187 ) )
= $true )
| ( ( r2_hidden @ ( sK59_SY690 @ SV57 @ SV187 ) @ SV187 )
= $true )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $true )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $false )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8973]) ).
thf(9008,plain,
! [SV187: $i,SV57: $i] :
( ( ( p1_s3_xboole_0 @ ( sK60_SY690 @ SV57 @ SV187 ) )
= $true )
| ( ( r2_hidden @ ( sK60_SY690 @ SV57 @ SV187 ) @ SV187 )
= $true )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $false )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $true )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8976]) ).
thf(9009,plain,
! [SV277: $i,SV192: $i,SV368: $i,SV65: $i] :
( ( ( SV65 = SV368 )
= $false )
| ( ( m1_subset_1 @ SV368 @ SV192 )
= $false )
| ( ( ~ ( ( ( k1_funct_1 @ SV277 @ SV368 )
!= k1_xboole_0 ) ) )
= $true )
| ( ( r2_hidden @ SV65 @ ( a_2_0_closure3 @ SV192 @ SV277 ) )
= $true )
| ( ( v1_xboole_0 @ SV192 )
= $true )
| ( ( m1_pboole @ SV277 @ SV192 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8982]) ).
thf(9010,plain,
! [SV73: $i,SV198: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ ( sK68_SY707 @ SV198 @ SV73 ) @ ( sK69_SY865 @ SV73 @ SV198 ) ) @ SV73 )
| ( r2_hidden @ ( k4_tarski @ ( sK68_SY707 @ SV198 @ SV73 ) @ ( sK69_SY865 @ SV73 @ SV198 ) ) @ SV198 ) )
| ~ ( ~ ( r2_hidden @ ( k4_tarski @ ( sK68_SY707 @ SV198 @ SV73 ) @ ( sK69_SY865 @ SV73 @ SV198 ) ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ ( sK68_SY707 @ SV198 @ SV73 ) @ ( sK69_SY865 @ SV73 @ SV198 ) ) @ SV73 ) ) )
= $true )
| ( ( r2_hidden @ ( sK46_SY482 @ SV198 @ SV73 ) @ SV73 )
= $true )
| ( ( r2_hidden @ ( sK62_SY704 @ SV73 @ SV198 ) @ SV198 )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8983]) ).
thf(9011,plain,
! [SV372: $i,SV371: $i,SV198: $i,SV73: $i] :
( ( ( ! [SY707: $i,SY708: $i] :
~ ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 ) )
| ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 ) ) ) )
= $false )
| ( ( r2_hidden @ ( sK46_SY482 @ SV198 @ SV73 ) @ SV73 )
= $true )
| ( ( ( sK62_SY704 @ SV73 @ SV198 )
= ( k4_tarski @ SV371 @ SV372 ) )
= $false )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8984]) ).
thf(9012,plain,
! [SV369: $i,SV367: $i,SV198: $i,SV73: $i] :
( ( ( ! [SY707: $i,SY708: $i] :
~ ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 ) )
| ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 ) ) ) )
= $false )
| ( ( ( sK46_SY482 @ SV198 @ SV73 )
= ( k4_tarski @ SV367 @ SV369 ) )
= $false )
| ( ( r2_hidden @ ( sK66_SY704 @ SV369 @ SV367 @ SV73 @ SV198 ) @ SV198 )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8985]) ).
thf(9013,plain,
! [SV375: $i,SV198: $i,SV73: $i,SV367: $i,SV369: $i] :
( ( ( ! [SY866: $i] :
( ( sK66_SY704 @ SV369 @ SV367 @ SV73 @ SV198 )
!= ( k4_tarski @ SV375 @ SY866 ) ) )
= $true )
| ( ( ( sK46_SY482 @ SV198 @ SV73 )
= ( k4_tarski @ SV367 @ SV369 ) )
= $false )
| ( ( ~ ! [SY707: $i,SY708: $i] :
~ ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 ) )
| ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 ) ) ) )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[8986]) ).
thf(9014,plain,
! [SV337: $i,SV84: $i,SV287: $i,SV207: $i,SV325: $i,SV316: $i] :
( ( ( r2_hidden @ SV316 @ SV325 )
= $false )
| ( ( r2_hidden @ SV207 @ SV287 )
= $false )
| ( ( r2_hidden @ SV84 @ SV207 )
= $false )
| ( ( r2_hidden @ SV287 @ SV316 )
= $false )
| ( ( ~ ( r2_hidden @ SV325 @ SV337 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV337 @ SV84 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8987]) ).
thf(9015,plain,
! [SV293: $i,SV104: $i,SV222: $i] :
( ( ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV222 )
= $false )
| ( ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV104 )
= $false )
| ( ( r2_hidden @ ( sK39_SY819 @ SV222 @ SV104 @ SV293 ) @ SV222 )
= $true )
| ( ( SV293
= ( k4_xboole_0 @ SV104 @ SV222 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8990]) ).
thf(9016,plain,
! [SV256: $i,SV148: $i,SV373: $i] :
( ( ( r2_hidden @ SV373 @ SV148 )
= $false )
| ( ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ SV373 )
= $true )
| ( ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ SV256 )
= $true )
| ( ( SV256
= ( k1_setfam_1 @ SV148 ) )
= $true )
| ( ( SV148 = k1_xboole_0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8991]) ).
thf(9017,plain,
! [SV256: $i,SV148: $i,SV376: $i] :
( ( ( ~ ( r2_hidden @ SV376 @ SV148 )
| ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ SV376 ) )
= $true )
| ( ( r2_hidden @ ( sK65_SY857 @ SV256 @ SV148 ) @ SV148 )
= $true )
| ( ( SV256
= ( k1_setfam_1 @ SV148 ) )
= $true )
| ( ( SV148 = k1_xboole_0 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[8992]) ).
thf(9018,plain,
! [SV256: $i,SV148: $i,SV374: $i] :
( ( ( ~ ( r2_hidden @ SV374 @ SV148 ) )
= $true )
| ( ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ SV374 )
= $true )
| ( ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ ( sK65_SY857 @ SV256 @ SV148 ) )
= $false )
| ( ( SV256
= ( k1_setfam_1 @ SV148 ) )
= $true )
| ( ( SV148 = k1_xboole_0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[8993]) ).
thf(9019,plain,
! [SV365: $i,SV259: $i,SV151: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ ( sK70_SY850 @ SV365 @ SV259 @ SV151 ) )
| ~ ( r2_hidden @ ( sK70_SY850 @ SV365 @ SV259 @ SV151 ) @ SV151 ) ) )
= $true )
| ( ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SV365 )
= $false )
| ( ( r2_hidden @ SV365 @ SV151 )
= $false )
| ( ( SV259
= ( k3_tarski @ SV151 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[8994]) ).
thf(9020,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 ) )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $true )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[8995]) ).
thf(9021,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( ~ ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 ) )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $true )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[8996]) ).
thf(9022,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $false )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8997]) ).
thf(9023,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $false )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8998]) ).
thf(9024,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $true )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8999]) ).
thf(9025,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $true )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[9000]) ).
thf(9026,plain,
! [SV49: $i,SV341: $i,SV338: $i] :
( ( ( SV338 = SV341 )
= $true )
| ( ( r2_hidden @ SV341 @ SV49 )
= $false )
| ( ( r2_hidden @ SV338 @ SV49 )
= $false )
| ( ( r2_hidden @ SV338 @ SV341 )
= $true )
| ( ( ~ ~ ( r2_hidden @ SV341 @ SV338 ) )
= $true )
| ( ( v2_ordinal1 @ SV49 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[9003]) ).
thf(9027,plain,
! [SV187: $i,SV57: $i] :
( ( ( p1_s3_xboole_0 @ ( sK63_SY690 @ SV57 @ SV187 ) )
= $true )
| ( ( r2_hidden @ ( sK63_SY690 @ SV57 @ SV187 ) @ SV187 )
= $true )
| ( ( r2_hidden @ ( sK32_SY456 @ SV187 @ SV57 ) @ SV57 )
= $true )
| ( ( p1_s3_xboole_0 @ ( sK32_SY456 @ SV187 @ SV57 ) )
= $true )
| ( ( SV57 = SV187 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[9004]) ).
thf(9028,plain,
! [SV65: $i,SV192: $i,SV368: $i,SV277: $i] :
( ( ( ( k1_funct_1 @ SV277 @ SV368 )
!= k1_xboole_0 )
= $false )
| ( ( m1_subset_1 @ SV368 @ SV192 )
= $false )
| ( ( SV65 = SV368 )
= $false )
| ( ( r2_hidden @ SV65 @ ( a_2_0_closure3 @ SV192 @ SV277 ) )
= $true )
| ( ( v1_xboole_0 @ SV192 )
= $true )
| ( ( m1_pboole @ SV277 @ SV192 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[9009]) ).
thf(9029,plain,
! [SV73: $i,SV198: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ ( sK68_SY707 @ SV198 @ SV73 ) @ ( sK69_SY865 @ SV73 @ SV198 ) ) @ SV73 )
| ( r2_hidden @ ( k4_tarski @ ( sK68_SY707 @ SV198 @ SV73 ) @ ( sK69_SY865 @ SV73 @ SV198 ) ) @ SV198 ) ) )
= $true )
| ( ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ ( sK68_SY707 @ SV198 @ SV73 ) @ ( sK69_SY865 @ SV73 @ SV198 ) ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ ( sK68_SY707 @ SV198 @ SV73 ) @ ( sK69_SY865 @ SV73 @ SV198 ) ) @ SV73 ) ) )
= $true )
| ( ( r2_hidden @ ( sK46_SY482 @ SV198 @ SV73 ) @ SV73 )
= $true )
| ( ( r2_hidden @ ( sK62_SY704 @ SV73 @ SV198 ) @ SV198 )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[9010]) ).
thf(9030,plain,
! [SV73: $i,SV198: $i,SV371: $i,SV372: $i] :
( ( ( ! [SY867: $i] :
~ ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ ( sK71_SY707 @ SV372 @ SV371 @ SV198 @ SV73 ) @ SY867 ) @ SV73 )
| ( r2_hidden @ ( k4_tarski @ ( sK71_SY707 @ SV372 @ SV371 @ SV198 @ SV73 ) @ SY867 ) @ SV198 ) )
| ~ ( ~ ( r2_hidden @ ( k4_tarski @ ( sK71_SY707 @ SV372 @ SV371 @ SV198 @ SV73 ) @ SY867 ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ ( sK71_SY707 @ SV372 @ SV371 @ SV198 @ SV73 ) @ SY867 ) @ SV73 ) ) ) )
= $false )
| ( ( r2_hidden @ ( sK46_SY482 @ SV198 @ SV73 ) @ SV73 )
= $true )
| ( ( ( sK62_SY704 @ SV73 @ SV198 )
= ( k4_tarski @ SV371 @ SV372 ) )
= $false )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[9011]) ).
thf(9031,plain,
! [SV73: $i,SV198: $i,SV367: $i,SV369: $i] :
( ( ( ! [SY868: $i] :
~ ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ ( sK72_SY707 @ SV369 @ SV367 @ SV198 @ SV73 ) @ SY868 ) @ SV73 )
| ( r2_hidden @ ( k4_tarski @ ( sK72_SY707 @ SV369 @ SV367 @ SV198 @ SV73 ) @ SY868 ) @ SV198 ) )
| ~ ( ~ ( r2_hidden @ ( k4_tarski @ ( sK72_SY707 @ SV369 @ SV367 @ SV198 @ SV73 ) @ SY868 ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ ( sK72_SY707 @ SV369 @ SV367 @ SV198 @ SV73 ) @ SY868 ) @ SV73 ) ) ) )
= $false )
| ( ( ( sK46_SY482 @ SV198 @ SV73 )
= ( k4_tarski @ SV367 @ SV369 ) )
= $false )
| ( ( r2_hidden @ ( sK66_SY704 @ SV369 @ SV367 @ SV73 @ SV198 ) @ SV198 )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[9012]) ).
thf(9032,plain,
! [SV377: $i,SV375: $i,SV198: $i,SV73: $i,SV367: $i,SV369: $i] :
( ( ( ( sK66_SY704 @ SV369 @ SV367 @ SV73 @ SV198 )
!= ( k4_tarski @ SV375 @ SV377 ) )
= $true )
| ( ( ( sK46_SY482 @ SV198 @ SV73 )
= ( k4_tarski @ SV367 @ SV369 ) )
= $false )
| ( ( ~ ! [SY707: $i,SY708: $i] :
~ ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 ) )
| ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 ) ) ) )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[9013]) ).
thf(9033,plain,
! [SV207: $i,SV84: $i,SV316: $i,SV287: $i,SV337: $i,SV325: $i] :
( ( ( r2_hidden @ SV325 @ SV337 )
= $false )
| ( ( r2_hidden @ SV287 @ SV316 )
= $false )
| ( ( r2_hidden @ SV84 @ SV207 )
= $false )
| ( ( r2_hidden @ SV207 @ SV287 )
= $false )
| ( ( r2_hidden @ SV316 @ SV325 )
= $false )
| ( ( ~ ( r2_hidden @ SV337 @ SV84 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[9014]) ).
thf(9034,plain,
! [SV256: $i,SV148: $i,SV376: $i] :
( ( ( ~ ( r2_hidden @ SV376 @ SV148 ) )
= $true )
| ( ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ SV376 )
= $true )
| ( ( r2_hidden @ ( sK65_SY857 @ SV256 @ SV148 ) @ SV148 )
= $true )
| ( ( SV256
= ( k1_setfam_1 @ SV148 ) )
= $true )
| ( ( SV148 = k1_xboole_0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[9017]) ).
thf(9035,plain,
! [SV256: $i,SV148: $i,SV374: $i] :
( ( ( r2_hidden @ SV374 @ SV148 )
= $false )
| ( ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ SV374 )
= $true )
| ( ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ ( sK65_SY857 @ SV256 @ SV148 ) )
= $false )
| ( ( SV256
= ( k1_setfam_1 @ SV148 ) )
= $true )
| ( ( SV148 = k1_xboole_0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[9018]) ).
thf(9036,plain,
! [SV365: $i,SV259: $i,SV151: $i] :
( ( ( ~ ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ ( sK70_SY850 @ SV365 @ SV259 @ SV151 ) )
| ~ ( r2_hidden @ ( sK70_SY850 @ SV365 @ SV259 @ SV151 ) @ SV151 ) )
= $false )
| ( ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SV365 )
= $false )
| ( ( r2_hidden @ SV365 @ SV151 )
= $false )
| ( ( SV259
= ( k3_tarski @ SV151 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[9019]) ).
thf(9037,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $true )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[9020]) ).
thf(9038,plain,
! [SV163: $i,SV265: $i,SV308: $i] :
( ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $false )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV265 )
= $true )
| ( ( r2_hidden @ ( sK25_SY823 @ SV308 @ SV265 @ SV163 ) @ SV308 )
= $true )
| ( ( SV163
= ( k5_xboole_0 @ SV265 @ SV308 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[9021]) ).
thf(9039,plain,
! [SV49: $i,SV338: $i,SV341: $i] :
( ( ( ~ ( r2_hidden @ SV341 @ SV338 ) )
= $false )
| ( ( r2_hidden @ SV338 @ SV341 )
= $true )
| ( ( r2_hidden @ SV338 @ SV49 )
= $false )
| ( ( r2_hidden @ SV341 @ SV49 )
= $false )
| ( ( SV338 = SV341 )
= $true )
| ( ( v2_ordinal1 @ SV49 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[9026]) ).
thf(9040,plain,
! [SV65: $i,SV192: $i,SV368: $i,SV277: $i] :
( ( ( ( k1_funct_1 @ SV277 @ SV368 )
= k1_xboole_0 )
= $true )
| ( ( m1_subset_1 @ SV368 @ SV192 )
= $false )
| ( ( SV65 = SV368 )
= $false )
| ( ( r2_hidden @ SV65 @ ( a_2_0_closure3 @ SV192 @ SV277 ) )
= $true )
| ( ( v1_xboole_0 @ SV192 )
= $true )
| ( ( m1_pboole @ SV277 @ SV192 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[9028]) ).
thf(9041,plain,
! [SV73: $i,SV198: $i] :
( ( ( ~ ( r2_hidden @ ( k4_tarski @ ( sK68_SY707 @ SV198 @ SV73 ) @ ( sK69_SY865 @ SV73 @ SV198 ) ) @ SV73 )
| ( r2_hidden @ ( k4_tarski @ ( sK68_SY707 @ SV198 @ SV73 ) @ ( sK69_SY865 @ SV73 @ SV198 ) ) @ SV198 ) )
= $false )
| ( ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ ( sK68_SY707 @ SV198 @ SV73 ) @ ( sK69_SY865 @ SV73 @ SV198 ) ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ ( sK68_SY707 @ SV198 @ SV73 ) @ ( sK69_SY865 @ SV73 @ SV198 ) ) @ SV73 ) ) )
= $true )
| ( ( r2_hidden @ ( sK46_SY482 @ SV198 @ SV73 ) @ SV73 )
= $true )
| ( ( r2_hidden @ ( sK62_SY704 @ SV73 @ SV198 ) @ SV198 )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[9029]) ).
thf(9042,plain,
! [SV73: $i,SV198: $i,SV371: $i,SV372: $i] :
( ( ( ~ ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ ( sK71_SY707 @ SV372 @ SV371 @ SV198 @ SV73 ) @ ( sK73_SY867 @ SV73 @ SV198 @ SV371 @ SV372 ) ) @ SV73 )
| ( r2_hidden @ ( k4_tarski @ ( sK71_SY707 @ SV372 @ SV371 @ SV198 @ SV73 ) @ ( sK73_SY867 @ SV73 @ SV198 @ SV371 @ SV372 ) ) @ SV198 ) )
| ~ ( ~ ( r2_hidden @ ( k4_tarski @ ( sK71_SY707 @ SV372 @ SV371 @ SV198 @ SV73 ) @ ( sK73_SY867 @ SV73 @ SV198 @ SV371 @ SV372 ) ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ ( sK71_SY707 @ SV372 @ SV371 @ SV198 @ SV73 ) @ ( sK73_SY867 @ SV73 @ SV198 @ SV371 @ SV372 ) ) @ SV73 ) ) ) )
= $false )
| ( ( r2_hidden @ ( sK46_SY482 @ SV198 @ SV73 ) @ SV73 )
= $true )
| ( ( ( sK62_SY704 @ SV73 @ SV198 )
= ( k4_tarski @ SV371 @ SV372 ) )
= $false )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[9030]) ).
thf(9043,plain,
! [SV73: $i,SV198: $i,SV367: $i,SV369: $i] :
( ( ( ~ ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ ( sK72_SY707 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK74_SY868 @ SV73 @ SV198 @ SV367 @ SV369 ) ) @ SV73 )
| ( r2_hidden @ ( k4_tarski @ ( sK72_SY707 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK74_SY868 @ SV73 @ SV198 @ SV367 @ SV369 ) ) @ SV198 ) )
| ~ ( ~ ( r2_hidden @ ( k4_tarski @ ( sK72_SY707 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK74_SY868 @ SV73 @ SV198 @ SV367 @ SV369 ) ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ ( sK72_SY707 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK74_SY868 @ SV73 @ SV198 @ SV367 @ SV369 ) ) @ SV73 ) ) ) )
= $false )
| ( ( ( sK46_SY482 @ SV198 @ SV73 )
= ( k4_tarski @ SV367 @ SV369 ) )
= $false )
| ( ( r2_hidden @ ( sK66_SY704 @ SV369 @ SV367 @ SV73 @ SV198 ) @ SV198 )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[9031]) ).
thf(9044,plain,
! [SV377: $i,SV375: $i,SV198: $i,SV73: $i,SV367: $i,SV369: $i] :
( ( ( ( sK66_SY704 @ SV369 @ SV367 @ SV73 @ SV198 )
= ( k4_tarski @ SV375 @ SV377 ) )
= $false )
| ( ( ( sK46_SY482 @ SV198 @ SV73 )
= ( k4_tarski @ SV367 @ SV369 ) )
= $false )
| ( ( ~ ! [SY707: $i,SY708: $i] :
~ ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 ) )
| ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 ) ) ) )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[9032]) ).
thf(9045,plain,
! [SV287: $i,SV207: $i,SV325: $i,SV316: $i,SV84: $i,SV337: $i] :
( ( ( r2_hidden @ SV337 @ SV84 )
= $false )
| ( ( r2_hidden @ SV316 @ SV325 )
= $false )
| ( ( r2_hidden @ SV207 @ SV287 )
= $false )
| ( ( r2_hidden @ SV84 @ SV207 )
= $false )
| ( ( r2_hidden @ SV287 @ SV316 )
= $false )
| ( ( r2_hidden @ SV325 @ SV337 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[9033]) ).
thf(9046,plain,
! [SV256: $i,SV148: $i,SV376: $i] :
( ( ( r2_hidden @ SV376 @ SV148 )
= $false )
| ( ( r2_hidden @ ( sK56_SY777 @ SV148 @ SV256 ) @ SV376 )
= $true )
| ( ( r2_hidden @ ( sK65_SY857 @ SV256 @ SV148 ) @ SV148 )
= $true )
| ( ( SV256
= ( k1_setfam_1 @ SV148 ) )
= $true )
| ( ( SV148 = k1_xboole_0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[9034]) ).
thf(9047,plain,
! [SV365: $i,SV259: $i,SV151: $i] :
( ( ( ~ ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ ( sK70_SY850 @ SV365 @ SV259 @ SV151 ) ) )
= $false )
| ( ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SV365 )
= $false )
| ( ( r2_hidden @ SV365 @ SV151 )
= $false )
| ( ( SV259
= ( k3_tarski @ SV151 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[9036]) ).
thf(9048,plain,
! [SV151: $i,SV259: $i,SV365: $i] :
( ( ( ~ ( r2_hidden @ ( sK70_SY850 @ SV365 @ SV259 @ SV151 ) @ SV151 ) )
= $false )
| ( ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SV365 )
= $false )
| ( ( r2_hidden @ SV365 @ SV151 )
= $false )
| ( ( SV259
= ( k3_tarski @ SV151 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[9036]) ).
thf(9049,plain,
! [SV49: $i,SV338: $i,SV341: $i] :
( ( ( r2_hidden @ SV341 @ SV338 )
= $true )
| ( ( r2_hidden @ SV338 @ SV341 )
= $true )
| ( ( r2_hidden @ SV338 @ SV49 )
= $false )
| ( ( r2_hidden @ SV341 @ SV49 )
= $false )
| ( ( SV338 = SV341 )
= $true )
| ( ( v2_ordinal1 @ SV49 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[9039]) ).
thf(9050,plain,
! [SV73: $i,SV198: $i] :
( ( ( ~ ( r2_hidden @ ( k4_tarski @ ( sK68_SY707 @ SV198 @ SV73 ) @ ( sK69_SY865 @ SV73 @ SV198 ) ) @ SV73 ) )
= $false )
| ( ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ ( sK68_SY707 @ SV198 @ SV73 ) @ ( sK69_SY865 @ SV73 @ SV198 ) ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ ( sK68_SY707 @ SV198 @ SV73 ) @ ( sK69_SY865 @ SV73 @ SV198 ) ) @ SV73 ) ) )
= $true )
| ( ( r2_hidden @ ( sK46_SY482 @ SV198 @ SV73 ) @ SV73 )
= $true )
| ( ( r2_hidden @ ( sK62_SY704 @ SV73 @ SV198 ) @ SV198 )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[9041]) ).
thf(9051,plain,
! [SV73: $i,SV198: $i] :
( ( ( r2_hidden @ ( k4_tarski @ ( sK68_SY707 @ SV198 @ SV73 ) @ ( sK69_SY865 @ SV73 @ SV198 ) ) @ SV198 )
= $false )
| ( ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ ( sK68_SY707 @ SV198 @ SV73 ) @ ( sK69_SY865 @ SV73 @ SV198 ) ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ ( sK68_SY707 @ SV198 @ SV73 ) @ ( sK69_SY865 @ SV73 @ SV198 ) ) @ SV73 ) ) )
= $true )
| ( ( r2_hidden @ ( sK46_SY482 @ SV198 @ SV73 ) @ SV73 )
= $true )
| ( ( r2_hidden @ ( sK62_SY704 @ SV73 @ SV198 ) @ SV198 )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[9041]) ).
thf(9052,plain,
! [SV73: $i,SV198: $i,SV371: $i,SV372: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ ( sK71_SY707 @ SV372 @ SV371 @ SV198 @ SV73 ) @ ( sK73_SY867 @ SV73 @ SV198 @ SV371 @ SV372 ) ) @ SV73 )
| ( r2_hidden @ ( k4_tarski @ ( sK71_SY707 @ SV372 @ SV371 @ SV198 @ SV73 ) @ ( sK73_SY867 @ SV73 @ SV198 @ SV371 @ SV372 ) ) @ SV198 ) )
| ~ ( ~ ( r2_hidden @ ( k4_tarski @ ( sK71_SY707 @ SV372 @ SV371 @ SV198 @ SV73 ) @ ( sK73_SY867 @ SV73 @ SV198 @ SV371 @ SV372 ) ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ ( sK71_SY707 @ SV372 @ SV371 @ SV198 @ SV73 ) @ ( sK73_SY867 @ SV73 @ SV198 @ SV371 @ SV372 ) ) @ SV73 ) ) )
= $true )
| ( ( r2_hidden @ ( sK46_SY482 @ SV198 @ SV73 ) @ SV73 )
= $true )
| ( ( ( sK62_SY704 @ SV73 @ SV198 )
= ( k4_tarski @ SV371 @ SV372 ) )
= $false )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[9042]) ).
thf(9053,plain,
! [SV73: $i,SV198: $i,SV367: $i,SV369: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ ( sK72_SY707 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK74_SY868 @ SV73 @ SV198 @ SV367 @ SV369 ) ) @ SV73 )
| ( r2_hidden @ ( k4_tarski @ ( sK72_SY707 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK74_SY868 @ SV73 @ SV198 @ SV367 @ SV369 ) ) @ SV198 ) )
| ~ ( ~ ( r2_hidden @ ( k4_tarski @ ( sK72_SY707 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK74_SY868 @ SV73 @ SV198 @ SV367 @ SV369 ) ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ ( sK72_SY707 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK74_SY868 @ SV73 @ SV198 @ SV367 @ SV369 ) ) @ SV73 ) ) )
= $true )
| ( ( ( sK46_SY482 @ SV198 @ SV73 )
= ( k4_tarski @ SV367 @ SV369 ) )
= $false )
| ( ( r2_hidden @ ( sK66_SY704 @ SV369 @ SV367 @ SV73 @ SV198 ) @ SV198 )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[9043]) ).
thf(9054,plain,
! [SV377: $i,SV375: $i,SV369: $i,SV367: $i,SV198: $i,SV73: $i] :
( ( ( ! [SY707: $i,SY708: $i] :
~ ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 ) )
| ~ ( ~ ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ SY707 @ SY708 ) @ SV73 ) ) ) )
= $false )
| ( ( ( sK46_SY482 @ SV198 @ SV73 )
= ( k4_tarski @ SV367 @ SV369 ) )
= $false )
| ( ( ( sK66_SY704 @ SV369 @ SV367 @ SV73 @ SV198 )
= ( k4_tarski @ SV375 @ SV377 ) )
= $false )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[9044]) ).
thf(9055,plain,
! [SV365: $i,SV259: $i,SV151: $i] :
( ( ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ ( sK70_SY850 @ SV365 @ SV259 @ SV151 ) )
= $true )
| ( ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SV365 )
= $false )
| ( ( r2_hidden @ SV365 @ SV151 )
= $false )
| ( ( SV259
= ( k3_tarski @ SV151 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[9047]) ).
thf(9056,plain,
! [SV151: $i,SV259: $i,SV365: $i] :
( ( ( r2_hidden @ ( sK70_SY850 @ SV365 @ SV259 @ SV151 ) @ SV151 )
= $true )
| ( ( r2_hidden @ ( sK36_SY787 @ SV151 @ SV259 ) @ SV365 )
= $false )
| ( ( r2_hidden @ SV365 @ SV151 )
= $false )
| ( ( SV259
= ( k3_tarski @ SV151 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[9048]) ).
thf(9057,plain,
! [SV73: $i,SV198: $i] :
( ( ( r2_hidden @ ( k4_tarski @ ( sK68_SY707 @ SV198 @ SV73 ) @ ( sK69_SY865 @ SV73 @ SV198 ) ) @ SV73 )
= $true )
| ( ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ ( sK68_SY707 @ SV198 @ SV73 ) @ ( sK69_SY865 @ SV73 @ SV198 ) ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ ( sK68_SY707 @ SV198 @ SV73 ) @ ( sK69_SY865 @ SV73 @ SV198 ) ) @ SV73 ) ) )
= $true )
| ( ( r2_hidden @ ( sK46_SY482 @ SV198 @ SV73 ) @ SV73 )
= $true )
| ( ( r2_hidden @ ( sK62_SY704 @ SV73 @ SV198 ) @ SV198 )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[9050]) ).
thf(9058,plain,
! [SV73: $i,SV198: $i] :
( ( ( ~ ( r2_hidden @ ( k4_tarski @ ( sK68_SY707 @ SV198 @ SV73 ) @ ( sK69_SY865 @ SV73 @ SV198 ) ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ ( sK68_SY707 @ SV198 @ SV73 ) @ ( sK69_SY865 @ SV73 @ SV198 ) ) @ SV73 ) )
= $false )
| ( ( r2_hidden @ ( k4_tarski @ ( sK68_SY707 @ SV198 @ SV73 ) @ ( sK69_SY865 @ SV73 @ SV198 ) ) @ SV198 )
= $false )
| ( ( r2_hidden @ ( sK46_SY482 @ SV198 @ SV73 ) @ SV73 )
= $true )
| ( ( r2_hidden @ ( sK62_SY704 @ SV73 @ SV198 ) @ SV198 )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[9051]) ).
thf(9059,plain,
! [SV73: $i,SV198: $i,SV371: $i,SV372: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ ( sK71_SY707 @ SV372 @ SV371 @ SV198 @ SV73 ) @ ( sK73_SY867 @ SV73 @ SV198 @ SV371 @ SV372 ) ) @ SV73 )
| ( r2_hidden @ ( k4_tarski @ ( sK71_SY707 @ SV372 @ SV371 @ SV198 @ SV73 ) @ ( sK73_SY867 @ SV73 @ SV198 @ SV371 @ SV372 ) ) @ SV198 ) ) )
= $true )
| ( ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ ( sK71_SY707 @ SV372 @ SV371 @ SV198 @ SV73 ) @ ( sK73_SY867 @ SV73 @ SV198 @ SV371 @ SV372 ) ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ ( sK71_SY707 @ SV372 @ SV371 @ SV198 @ SV73 ) @ ( sK73_SY867 @ SV73 @ SV198 @ SV371 @ SV372 ) ) @ SV73 ) ) )
= $true )
| ( ( r2_hidden @ ( sK46_SY482 @ SV198 @ SV73 ) @ SV73 )
= $true )
| ( ( ( sK62_SY704 @ SV73 @ SV198 )
= ( k4_tarski @ SV371 @ SV372 ) )
= $false )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[9052]) ).
thf(9060,plain,
! [SV73: $i,SV198: $i,SV367: $i,SV369: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ ( sK72_SY707 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK74_SY868 @ SV73 @ SV198 @ SV367 @ SV369 ) ) @ SV73 )
| ( r2_hidden @ ( k4_tarski @ ( sK72_SY707 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK74_SY868 @ SV73 @ SV198 @ SV367 @ SV369 ) ) @ SV198 ) ) )
= $true )
| ( ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ ( sK72_SY707 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK74_SY868 @ SV73 @ SV198 @ SV367 @ SV369 ) ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ ( sK72_SY707 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK74_SY868 @ SV73 @ SV198 @ SV367 @ SV369 ) ) @ SV73 ) ) )
= $true )
| ( ( ( sK46_SY482 @ SV198 @ SV73 )
= ( k4_tarski @ SV367 @ SV369 ) )
= $false )
| ( ( r2_hidden @ ( sK66_SY704 @ SV369 @ SV367 @ SV73 @ SV198 ) @ SV198 )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[9053]) ).
thf(9061,plain,
! [SV73: $i,SV198: $i,SV367: $i,SV369: $i,SV375: $i,SV377: $i] :
( ( ( ! [SY869: $i] :
~ ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ ( sK75_SY707 @ SV377 @ SV375 @ SV369 @ SV367 @ SV198 @ SV73 ) @ SY869 ) @ SV73 )
| ( r2_hidden @ ( k4_tarski @ ( sK75_SY707 @ SV377 @ SV375 @ SV369 @ SV367 @ SV198 @ SV73 ) @ SY869 ) @ SV198 ) )
| ~ ( ~ ( r2_hidden @ ( k4_tarski @ ( sK75_SY707 @ SV377 @ SV375 @ SV369 @ SV367 @ SV198 @ SV73 ) @ SY869 ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ ( sK75_SY707 @ SV377 @ SV375 @ SV369 @ SV367 @ SV198 @ SV73 ) @ SY869 ) @ SV73 ) ) ) )
= $false )
| ( ( ( sK46_SY482 @ SV198 @ SV73 )
= ( k4_tarski @ SV367 @ SV369 ) )
= $false )
| ( ( ( sK66_SY704 @ SV369 @ SV367 @ SV73 @ SV198 )
= ( k4_tarski @ SV375 @ SV377 ) )
= $false )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[9054]) ).
thf(9062,plain,
! [SV73: $i,SV198: $i] :
( ( ( ~ ( r2_hidden @ ( k4_tarski @ ( sK68_SY707 @ SV198 @ SV73 ) @ ( sK69_SY865 @ SV73 @ SV198 ) ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ ( sK68_SY707 @ SV198 @ SV73 ) @ ( sK69_SY865 @ SV73 @ SV198 ) ) @ SV73 ) )
= $false )
| ( ( r2_hidden @ ( k4_tarski @ ( sK68_SY707 @ SV198 @ SV73 ) @ ( sK69_SY865 @ SV73 @ SV198 ) ) @ SV73 )
= $true )
| ( ( r2_hidden @ ( sK46_SY482 @ SV198 @ SV73 ) @ SV73 )
= $true )
| ( ( r2_hidden @ ( sK62_SY704 @ SV73 @ SV198 ) @ SV198 )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[9057]) ).
thf(9063,plain,
! [SV73: $i,SV198: $i] :
( ( ( ~ ( r2_hidden @ ( k4_tarski @ ( sK68_SY707 @ SV198 @ SV73 ) @ ( sK69_SY865 @ SV73 @ SV198 ) ) @ SV198 ) )
= $false )
| ( ( r2_hidden @ ( k4_tarski @ ( sK68_SY707 @ SV198 @ SV73 ) @ ( sK69_SY865 @ SV73 @ SV198 ) ) @ SV198 )
= $false )
| ( ( r2_hidden @ ( sK46_SY482 @ SV198 @ SV73 ) @ SV73 )
= $true )
| ( ( r2_hidden @ ( sK62_SY704 @ SV73 @ SV198 ) @ SV198 )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[9058]) ).
thf(9064,plain,
! [SV73: $i,SV198: $i] :
( ( ( r2_hidden @ ( k4_tarski @ ( sK68_SY707 @ SV198 @ SV73 ) @ ( sK69_SY865 @ SV73 @ SV198 ) ) @ SV73 )
= $false )
| ( ( r2_hidden @ ( k4_tarski @ ( sK68_SY707 @ SV198 @ SV73 ) @ ( sK69_SY865 @ SV73 @ SV198 ) ) @ SV198 )
= $false )
| ( ( r2_hidden @ ( sK46_SY482 @ SV198 @ SV73 ) @ SV73 )
= $true )
| ( ( r2_hidden @ ( sK62_SY704 @ SV73 @ SV198 ) @ SV198 )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[9058]) ).
thf(9065,plain,
! [SV73: $i,SV198: $i,SV371: $i,SV372: $i] :
( ( ( ~ ( r2_hidden @ ( k4_tarski @ ( sK71_SY707 @ SV372 @ SV371 @ SV198 @ SV73 ) @ ( sK73_SY867 @ SV73 @ SV198 @ SV371 @ SV372 ) ) @ SV73 )
| ( r2_hidden @ ( k4_tarski @ ( sK71_SY707 @ SV372 @ SV371 @ SV198 @ SV73 ) @ ( sK73_SY867 @ SV73 @ SV198 @ SV371 @ SV372 ) ) @ SV198 ) )
= $false )
| ( ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ ( sK71_SY707 @ SV372 @ SV371 @ SV198 @ SV73 ) @ ( sK73_SY867 @ SV73 @ SV198 @ SV371 @ SV372 ) ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ ( sK71_SY707 @ SV372 @ SV371 @ SV198 @ SV73 ) @ ( sK73_SY867 @ SV73 @ SV198 @ SV371 @ SV372 ) ) @ SV73 ) ) )
= $true )
| ( ( r2_hidden @ ( sK46_SY482 @ SV198 @ SV73 ) @ SV73 )
= $true )
| ( ( ( sK62_SY704 @ SV73 @ SV198 )
= ( k4_tarski @ SV371 @ SV372 ) )
= $false )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[9059]) ).
thf(9066,plain,
! [SV73: $i,SV198: $i,SV367: $i,SV369: $i] :
( ( ( ~ ( r2_hidden @ ( k4_tarski @ ( sK72_SY707 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK74_SY868 @ SV73 @ SV198 @ SV367 @ SV369 ) ) @ SV73 )
| ( r2_hidden @ ( k4_tarski @ ( sK72_SY707 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK74_SY868 @ SV73 @ SV198 @ SV367 @ SV369 ) ) @ SV198 ) )
= $false )
| ( ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ ( sK72_SY707 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK74_SY868 @ SV73 @ SV198 @ SV367 @ SV369 ) ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ ( sK72_SY707 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK74_SY868 @ SV73 @ SV198 @ SV367 @ SV369 ) ) @ SV73 ) ) )
= $true )
| ( ( ( sK46_SY482 @ SV198 @ SV73 )
= ( k4_tarski @ SV367 @ SV369 ) )
= $false )
| ( ( r2_hidden @ ( sK66_SY704 @ SV369 @ SV367 @ SV73 @ SV198 ) @ SV198 )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[9060]) ).
thf(9067,plain,
! [SV73: $i,SV198: $i,SV367: $i,SV369: $i,SV375: $i,SV377: $i] :
( ( ( ~ ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ ( sK75_SY707 @ SV377 @ SV375 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK76_SY869 @ SV73 @ SV198 @ SV367 @ SV369 @ SV375 @ SV377 ) ) @ SV73 )
| ( r2_hidden @ ( k4_tarski @ ( sK75_SY707 @ SV377 @ SV375 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK76_SY869 @ SV73 @ SV198 @ SV367 @ SV369 @ SV375 @ SV377 ) ) @ SV198 ) )
| ~ ( ~ ( r2_hidden @ ( k4_tarski @ ( sK75_SY707 @ SV377 @ SV375 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK76_SY869 @ SV73 @ SV198 @ SV367 @ SV369 @ SV375 @ SV377 ) ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ ( sK75_SY707 @ SV377 @ SV375 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK76_SY869 @ SV73 @ SV198 @ SV367 @ SV369 @ SV375 @ SV377 ) ) @ SV73 ) ) ) )
= $false )
| ( ( ( sK46_SY482 @ SV198 @ SV73 )
= ( k4_tarski @ SV367 @ SV369 ) )
= $false )
| ( ( ( sK66_SY704 @ SV369 @ SV367 @ SV73 @ SV198 )
= ( k4_tarski @ SV375 @ SV377 ) )
= $false )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[9061]) ).
thf(9068,plain,
! [SV73: $i,SV198: $i] :
( ( ( ~ ( r2_hidden @ ( k4_tarski @ ( sK68_SY707 @ SV198 @ SV73 ) @ ( sK69_SY865 @ SV73 @ SV198 ) ) @ SV198 ) )
= $false )
| ( ( r2_hidden @ ( k4_tarski @ ( sK68_SY707 @ SV198 @ SV73 ) @ ( sK69_SY865 @ SV73 @ SV198 ) ) @ SV73 )
= $true )
| ( ( r2_hidden @ ( sK46_SY482 @ SV198 @ SV73 ) @ SV73 )
= $true )
| ( ( r2_hidden @ ( sK62_SY704 @ SV73 @ SV198 ) @ SV198 )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[9062]) ).
thf(9069,plain,
! [SV73: $i,SV198: $i] :
( ( ( r2_hidden @ ( k4_tarski @ ( sK68_SY707 @ SV198 @ SV73 ) @ ( sK69_SY865 @ SV73 @ SV198 ) ) @ SV73 )
= $false )
| ( ( r2_hidden @ ( k4_tarski @ ( sK68_SY707 @ SV198 @ SV73 ) @ ( sK69_SY865 @ SV73 @ SV198 ) ) @ SV73 )
= $true )
| ( ( r2_hidden @ ( sK46_SY482 @ SV198 @ SV73 ) @ SV73 )
= $true )
| ( ( r2_hidden @ ( sK62_SY704 @ SV73 @ SV198 ) @ SV198 )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[9062]) ).
thf(9070,plain,
! [SV73: $i,SV198: $i] :
( ( ( r2_hidden @ ( k4_tarski @ ( sK68_SY707 @ SV198 @ SV73 ) @ ( sK69_SY865 @ SV73 @ SV198 ) ) @ SV198 )
= $true )
| ( ( r2_hidden @ ( k4_tarski @ ( sK68_SY707 @ SV198 @ SV73 ) @ ( sK69_SY865 @ SV73 @ SV198 ) ) @ SV198 )
= $false )
| ( ( r2_hidden @ ( sK46_SY482 @ SV198 @ SV73 ) @ SV73 )
= $true )
| ( ( r2_hidden @ ( sK62_SY704 @ SV73 @ SV198 ) @ SV198 )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[9063]) ).
thf(9071,plain,
! [SV73: $i,SV198: $i,SV371: $i,SV372: $i] :
( ( ( ~ ( r2_hidden @ ( k4_tarski @ ( sK71_SY707 @ SV372 @ SV371 @ SV198 @ SV73 ) @ ( sK73_SY867 @ SV73 @ SV198 @ SV371 @ SV372 ) ) @ SV73 ) )
= $false )
| ( ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ ( sK71_SY707 @ SV372 @ SV371 @ SV198 @ SV73 ) @ ( sK73_SY867 @ SV73 @ SV198 @ SV371 @ SV372 ) ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ ( sK71_SY707 @ SV372 @ SV371 @ SV198 @ SV73 ) @ ( sK73_SY867 @ SV73 @ SV198 @ SV371 @ SV372 ) ) @ SV73 ) ) )
= $true )
| ( ( r2_hidden @ ( sK46_SY482 @ SV198 @ SV73 ) @ SV73 )
= $true )
| ( ( ( sK62_SY704 @ SV73 @ SV198 )
= ( k4_tarski @ SV371 @ SV372 ) )
= $false )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[9065]) ).
thf(9072,plain,
! [SV73: $i,SV198: $i,SV371: $i,SV372: $i] :
( ( ( r2_hidden @ ( k4_tarski @ ( sK71_SY707 @ SV372 @ SV371 @ SV198 @ SV73 ) @ ( sK73_SY867 @ SV73 @ SV198 @ SV371 @ SV372 ) ) @ SV198 )
= $false )
| ( ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ ( sK71_SY707 @ SV372 @ SV371 @ SV198 @ SV73 ) @ ( sK73_SY867 @ SV73 @ SV198 @ SV371 @ SV372 ) ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ ( sK71_SY707 @ SV372 @ SV371 @ SV198 @ SV73 ) @ ( sK73_SY867 @ SV73 @ SV198 @ SV371 @ SV372 ) ) @ SV73 ) ) )
= $true )
| ( ( r2_hidden @ ( sK46_SY482 @ SV198 @ SV73 ) @ SV73 )
= $true )
| ( ( ( sK62_SY704 @ SV73 @ SV198 )
= ( k4_tarski @ SV371 @ SV372 ) )
= $false )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[9065]) ).
thf(9073,plain,
! [SV73: $i,SV198: $i,SV367: $i,SV369: $i] :
( ( ( ~ ( r2_hidden @ ( k4_tarski @ ( sK72_SY707 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK74_SY868 @ SV73 @ SV198 @ SV367 @ SV369 ) ) @ SV73 ) )
= $false )
| ( ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ ( sK72_SY707 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK74_SY868 @ SV73 @ SV198 @ SV367 @ SV369 ) ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ ( sK72_SY707 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK74_SY868 @ SV73 @ SV198 @ SV367 @ SV369 ) ) @ SV73 ) ) )
= $true )
| ( ( ( sK46_SY482 @ SV198 @ SV73 )
= ( k4_tarski @ SV367 @ SV369 ) )
= $false )
| ( ( r2_hidden @ ( sK66_SY704 @ SV369 @ SV367 @ SV73 @ SV198 ) @ SV198 )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[9066]) ).
thf(9074,plain,
! [SV73: $i,SV198: $i,SV367: $i,SV369: $i] :
( ( ( r2_hidden @ ( k4_tarski @ ( sK72_SY707 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK74_SY868 @ SV73 @ SV198 @ SV367 @ SV369 ) ) @ SV198 )
= $false )
| ( ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ ( sK72_SY707 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK74_SY868 @ SV73 @ SV198 @ SV367 @ SV369 ) ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ ( sK72_SY707 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK74_SY868 @ SV73 @ SV198 @ SV367 @ SV369 ) ) @ SV73 ) ) )
= $true )
| ( ( ( sK46_SY482 @ SV198 @ SV73 )
= ( k4_tarski @ SV367 @ SV369 ) )
= $false )
| ( ( r2_hidden @ ( sK66_SY704 @ SV369 @ SV367 @ SV73 @ SV198 ) @ SV198 )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[9066]) ).
thf(9075,plain,
! [SV73: $i,SV198: $i,SV367: $i,SV369: $i,SV375: $i,SV377: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ ( sK75_SY707 @ SV377 @ SV375 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK76_SY869 @ SV73 @ SV198 @ SV367 @ SV369 @ SV375 @ SV377 ) ) @ SV73 )
| ( r2_hidden @ ( k4_tarski @ ( sK75_SY707 @ SV377 @ SV375 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK76_SY869 @ SV73 @ SV198 @ SV367 @ SV369 @ SV375 @ SV377 ) ) @ SV198 ) )
| ~ ( ~ ( r2_hidden @ ( k4_tarski @ ( sK75_SY707 @ SV377 @ SV375 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK76_SY869 @ SV73 @ SV198 @ SV367 @ SV369 @ SV375 @ SV377 ) ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ ( sK75_SY707 @ SV377 @ SV375 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK76_SY869 @ SV73 @ SV198 @ SV367 @ SV369 @ SV375 @ SV377 ) ) @ SV73 ) ) )
= $true )
| ( ( ( sK46_SY482 @ SV198 @ SV73 )
= ( k4_tarski @ SV367 @ SV369 ) )
= $false )
| ( ( ( sK66_SY704 @ SV369 @ SV367 @ SV73 @ SV198 )
= ( k4_tarski @ SV375 @ SV377 ) )
= $false )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[9067]) ).
thf(9076,plain,
! [SV73: $i,SV198: $i] :
( ( ( r2_hidden @ ( k4_tarski @ ( sK68_SY707 @ SV198 @ SV73 ) @ ( sK69_SY865 @ SV73 @ SV198 ) ) @ SV198 )
= $true )
| ( ( r2_hidden @ ( k4_tarski @ ( sK68_SY707 @ SV198 @ SV73 ) @ ( sK69_SY865 @ SV73 @ SV198 ) ) @ SV73 )
= $true )
| ( ( r2_hidden @ ( sK46_SY482 @ SV198 @ SV73 ) @ SV73 )
= $true )
| ( ( r2_hidden @ ( sK62_SY704 @ SV73 @ SV198 ) @ SV198 )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[9068]) ).
thf(9077,plain,
! [SV73: $i,SV198: $i,SV371: $i,SV372: $i] :
( ( ( r2_hidden @ ( k4_tarski @ ( sK71_SY707 @ SV372 @ SV371 @ SV198 @ SV73 ) @ ( sK73_SY867 @ SV73 @ SV198 @ SV371 @ SV372 ) ) @ SV73 )
= $true )
| ( ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ ( sK71_SY707 @ SV372 @ SV371 @ SV198 @ SV73 ) @ ( sK73_SY867 @ SV73 @ SV198 @ SV371 @ SV372 ) ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ ( sK71_SY707 @ SV372 @ SV371 @ SV198 @ SV73 ) @ ( sK73_SY867 @ SV73 @ SV198 @ SV371 @ SV372 ) ) @ SV73 ) ) )
= $true )
| ( ( r2_hidden @ ( sK46_SY482 @ SV198 @ SV73 ) @ SV73 )
= $true )
| ( ( ( sK62_SY704 @ SV73 @ SV198 )
= ( k4_tarski @ SV371 @ SV372 ) )
= $false )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[9071]) ).
thf(9078,plain,
! [SV73: $i,SV198: $i,SV371: $i,SV372: $i] :
( ( ( ~ ( r2_hidden @ ( k4_tarski @ ( sK71_SY707 @ SV372 @ SV371 @ SV198 @ SV73 ) @ ( sK73_SY867 @ SV73 @ SV198 @ SV371 @ SV372 ) ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ ( sK71_SY707 @ SV372 @ SV371 @ SV198 @ SV73 ) @ ( sK73_SY867 @ SV73 @ SV198 @ SV371 @ SV372 ) ) @ SV73 ) )
= $false )
| ( ( r2_hidden @ ( k4_tarski @ ( sK71_SY707 @ SV372 @ SV371 @ SV198 @ SV73 ) @ ( sK73_SY867 @ SV73 @ SV198 @ SV371 @ SV372 ) ) @ SV198 )
= $false )
| ( ( r2_hidden @ ( sK46_SY482 @ SV198 @ SV73 ) @ SV73 )
= $true )
| ( ( ( sK62_SY704 @ SV73 @ SV198 )
= ( k4_tarski @ SV371 @ SV372 ) )
= $false )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[9072]) ).
thf(9079,plain,
! [SV73: $i,SV198: $i,SV367: $i,SV369: $i] :
( ( ( r2_hidden @ ( k4_tarski @ ( sK72_SY707 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK74_SY868 @ SV73 @ SV198 @ SV367 @ SV369 ) ) @ SV73 )
= $true )
| ( ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ ( sK72_SY707 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK74_SY868 @ SV73 @ SV198 @ SV367 @ SV369 ) ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ ( sK72_SY707 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK74_SY868 @ SV73 @ SV198 @ SV367 @ SV369 ) ) @ SV73 ) ) )
= $true )
| ( ( ( sK46_SY482 @ SV198 @ SV73 )
= ( k4_tarski @ SV367 @ SV369 ) )
= $false )
| ( ( r2_hidden @ ( sK66_SY704 @ SV369 @ SV367 @ SV73 @ SV198 ) @ SV198 )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[9073]) ).
thf(9080,plain,
! [SV73: $i,SV198: $i,SV367: $i,SV369: $i] :
( ( ( ~ ( r2_hidden @ ( k4_tarski @ ( sK72_SY707 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK74_SY868 @ SV73 @ SV198 @ SV367 @ SV369 ) ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ ( sK72_SY707 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK74_SY868 @ SV73 @ SV198 @ SV367 @ SV369 ) ) @ SV73 ) )
= $false )
| ( ( r2_hidden @ ( k4_tarski @ ( sK72_SY707 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK74_SY868 @ SV73 @ SV198 @ SV367 @ SV369 ) ) @ SV198 )
= $false )
| ( ( ( sK46_SY482 @ SV198 @ SV73 )
= ( k4_tarski @ SV367 @ SV369 ) )
= $false )
| ( ( r2_hidden @ ( sK66_SY704 @ SV369 @ SV367 @ SV73 @ SV198 ) @ SV198 )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[9074]) ).
thf(9081,plain,
! [SV73: $i,SV198: $i,SV367: $i,SV369: $i,SV375: $i,SV377: $i] :
( ( ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ ( sK75_SY707 @ SV377 @ SV375 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK76_SY869 @ SV73 @ SV198 @ SV367 @ SV369 @ SV375 @ SV377 ) ) @ SV73 )
| ( r2_hidden @ ( k4_tarski @ ( sK75_SY707 @ SV377 @ SV375 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK76_SY869 @ SV73 @ SV198 @ SV367 @ SV369 @ SV375 @ SV377 ) ) @ SV198 ) ) )
= $true )
| ( ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ ( sK75_SY707 @ SV377 @ SV375 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK76_SY869 @ SV73 @ SV198 @ SV367 @ SV369 @ SV375 @ SV377 ) ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ ( sK75_SY707 @ SV377 @ SV375 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK76_SY869 @ SV73 @ SV198 @ SV367 @ SV369 @ SV375 @ SV377 ) ) @ SV73 ) ) )
= $true )
| ( ( ( sK46_SY482 @ SV198 @ SV73 )
= ( k4_tarski @ SV367 @ SV369 ) )
= $false )
| ( ( ( sK66_SY704 @ SV369 @ SV367 @ SV73 @ SV198 )
= ( k4_tarski @ SV375 @ SV377 ) )
= $false )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[9075]) ).
thf(9082,plain,
! [SV73: $i,SV198: $i,SV371: $i,SV372: $i] :
( ( ( ~ ( r2_hidden @ ( k4_tarski @ ( sK71_SY707 @ SV372 @ SV371 @ SV198 @ SV73 ) @ ( sK73_SY867 @ SV73 @ SV198 @ SV371 @ SV372 ) ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ ( sK71_SY707 @ SV372 @ SV371 @ SV198 @ SV73 ) @ ( sK73_SY867 @ SV73 @ SV198 @ SV371 @ SV372 ) ) @ SV73 ) )
= $false )
| ( ( r2_hidden @ ( k4_tarski @ ( sK71_SY707 @ SV372 @ SV371 @ SV198 @ SV73 ) @ ( sK73_SY867 @ SV73 @ SV198 @ SV371 @ SV372 ) ) @ SV73 )
= $true )
| ( ( r2_hidden @ ( sK46_SY482 @ SV198 @ SV73 ) @ SV73 )
= $true )
| ( ( ( sK62_SY704 @ SV73 @ SV198 )
= ( k4_tarski @ SV371 @ SV372 ) )
= $false )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[9077]) ).
thf(9083,plain,
! [SV73: $i,SV198: $i,SV371: $i,SV372: $i] :
( ( ( ~ ( r2_hidden @ ( k4_tarski @ ( sK71_SY707 @ SV372 @ SV371 @ SV198 @ SV73 ) @ ( sK73_SY867 @ SV73 @ SV198 @ SV371 @ SV372 ) ) @ SV198 ) )
= $false )
| ( ( r2_hidden @ ( k4_tarski @ ( sK71_SY707 @ SV372 @ SV371 @ SV198 @ SV73 ) @ ( sK73_SY867 @ SV73 @ SV198 @ SV371 @ SV372 ) ) @ SV198 )
= $false )
| ( ( r2_hidden @ ( sK46_SY482 @ SV198 @ SV73 ) @ SV73 )
= $true )
| ( ( ( sK62_SY704 @ SV73 @ SV198 )
= ( k4_tarski @ SV371 @ SV372 ) )
= $false )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[9078]) ).
thf(9084,plain,
! [SV73: $i,SV198: $i,SV371: $i,SV372: $i] :
( ( ( r2_hidden @ ( k4_tarski @ ( sK71_SY707 @ SV372 @ SV371 @ SV198 @ SV73 ) @ ( sK73_SY867 @ SV73 @ SV198 @ SV371 @ SV372 ) ) @ SV73 )
= $false )
| ( ( r2_hidden @ ( k4_tarski @ ( sK71_SY707 @ SV372 @ SV371 @ SV198 @ SV73 ) @ ( sK73_SY867 @ SV73 @ SV198 @ SV371 @ SV372 ) ) @ SV198 )
= $false )
| ( ( r2_hidden @ ( sK46_SY482 @ SV198 @ SV73 ) @ SV73 )
= $true )
| ( ( ( sK62_SY704 @ SV73 @ SV198 )
= ( k4_tarski @ SV371 @ SV372 ) )
= $false )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[9078]) ).
thf(9085,plain,
! [SV73: $i,SV198: $i,SV367: $i,SV369: $i] :
( ( ( ~ ( r2_hidden @ ( k4_tarski @ ( sK72_SY707 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK74_SY868 @ SV73 @ SV198 @ SV367 @ SV369 ) ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ ( sK72_SY707 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK74_SY868 @ SV73 @ SV198 @ SV367 @ SV369 ) ) @ SV73 ) )
= $false )
| ( ( r2_hidden @ ( k4_tarski @ ( sK72_SY707 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK74_SY868 @ SV73 @ SV198 @ SV367 @ SV369 ) ) @ SV73 )
= $true )
| ( ( ( sK46_SY482 @ SV198 @ SV73 )
= ( k4_tarski @ SV367 @ SV369 ) )
= $false )
| ( ( r2_hidden @ ( sK66_SY704 @ SV369 @ SV367 @ SV73 @ SV198 ) @ SV198 )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[9079]) ).
thf(9086,plain,
! [SV73: $i,SV198: $i,SV367: $i,SV369: $i] :
( ( ( ~ ( r2_hidden @ ( k4_tarski @ ( sK72_SY707 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK74_SY868 @ SV73 @ SV198 @ SV367 @ SV369 ) ) @ SV198 ) )
= $false )
| ( ( r2_hidden @ ( k4_tarski @ ( sK72_SY707 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK74_SY868 @ SV73 @ SV198 @ SV367 @ SV369 ) ) @ SV198 )
= $false )
| ( ( ( sK46_SY482 @ SV198 @ SV73 )
= ( k4_tarski @ SV367 @ SV369 ) )
= $false )
| ( ( r2_hidden @ ( sK66_SY704 @ SV369 @ SV367 @ SV73 @ SV198 ) @ SV198 )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[9080]) ).
thf(9087,plain,
! [SV73: $i,SV198: $i,SV367: $i,SV369: $i] :
( ( ( r2_hidden @ ( k4_tarski @ ( sK72_SY707 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK74_SY868 @ SV73 @ SV198 @ SV367 @ SV369 ) ) @ SV73 )
= $false )
| ( ( r2_hidden @ ( k4_tarski @ ( sK72_SY707 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK74_SY868 @ SV73 @ SV198 @ SV367 @ SV369 ) ) @ SV198 )
= $false )
| ( ( ( sK46_SY482 @ SV198 @ SV73 )
= ( k4_tarski @ SV367 @ SV369 ) )
= $false )
| ( ( r2_hidden @ ( sK66_SY704 @ SV369 @ SV367 @ SV73 @ SV198 ) @ SV198 )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[9080]) ).
thf(9088,plain,
! [SV73: $i,SV198: $i,SV367: $i,SV369: $i,SV375: $i,SV377: $i] :
( ( ( ~ ( r2_hidden @ ( k4_tarski @ ( sK75_SY707 @ SV377 @ SV375 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK76_SY869 @ SV73 @ SV198 @ SV367 @ SV369 @ SV375 @ SV377 ) ) @ SV73 )
| ( r2_hidden @ ( k4_tarski @ ( sK75_SY707 @ SV377 @ SV375 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK76_SY869 @ SV73 @ SV198 @ SV367 @ SV369 @ SV375 @ SV377 ) ) @ SV198 ) )
= $false )
| ( ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ ( sK75_SY707 @ SV377 @ SV375 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK76_SY869 @ SV73 @ SV198 @ SV367 @ SV369 @ SV375 @ SV377 ) ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ ( sK75_SY707 @ SV377 @ SV375 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK76_SY869 @ SV73 @ SV198 @ SV367 @ SV369 @ SV375 @ SV377 ) ) @ SV73 ) ) )
= $true )
| ( ( ( sK46_SY482 @ SV198 @ SV73 )
= ( k4_tarski @ SV367 @ SV369 ) )
= $false )
| ( ( ( sK66_SY704 @ SV369 @ SV367 @ SV73 @ SV198 )
= ( k4_tarski @ SV375 @ SV377 ) )
= $false )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[9081]) ).
thf(9089,plain,
! [SV73: $i,SV198: $i,SV371: $i,SV372: $i] :
( ( ( ~ ( r2_hidden @ ( k4_tarski @ ( sK71_SY707 @ SV372 @ SV371 @ SV198 @ SV73 ) @ ( sK73_SY867 @ SV73 @ SV198 @ SV371 @ SV372 ) ) @ SV198 ) )
= $false )
| ( ( r2_hidden @ ( k4_tarski @ ( sK71_SY707 @ SV372 @ SV371 @ SV198 @ SV73 ) @ ( sK73_SY867 @ SV73 @ SV198 @ SV371 @ SV372 ) ) @ SV73 )
= $true )
| ( ( r2_hidden @ ( sK46_SY482 @ SV198 @ SV73 ) @ SV73 )
= $true )
| ( ( ( sK62_SY704 @ SV73 @ SV198 )
= ( k4_tarski @ SV371 @ SV372 ) )
= $false )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[9082]) ).
thf(9090,plain,
! [SV73: $i,SV198: $i,SV371: $i,SV372: $i] :
( ( ( r2_hidden @ ( k4_tarski @ ( sK71_SY707 @ SV372 @ SV371 @ SV198 @ SV73 ) @ ( sK73_SY867 @ SV73 @ SV198 @ SV371 @ SV372 ) ) @ SV73 )
= $false )
| ( ( r2_hidden @ ( k4_tarski @ ( sK71_SY707 @ SV372 @ SV371 @ SV198 @ SV73 ) @ ( sK73_SY867 @ SV73 @ SV198 @ SV371 @ SV372 ) ) @ SV73 )
= $true )
| ( ( r2_hidden @ ( sK46_SY482 @ SV198 @ SV73 ) @ SV73 )
= $true )
| ( ( ( sK62_SY704 @ SV73 @ SV198 )
= ( k4_tarski @ SV371 @ SV372 ) )
= $false )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[9082]) ).
thf(9091,plain,
! [SV73: $i,SV198: $i,SV371: $i,SV372: $i] :
( ( ( r2_hidden @ ( k4_tarski @ ( sK71_SY707 @ SV372 @ SV371 @ SV198 @ SV73 ) @ ( sK73_SY867 @ SV73 @ SV198 @ SV371 @ SV372 ) ) @ SV198 )
= $true )
| ( ( r2_hidden @ ( k4_tarski @ ( sK71_SY707 @ SV372 @ SV371 @ SV198 @ SV73 ) @ ( sK73_SY867 @ SV73 @ SV198 @ SV371 @ SV372 ) ) @ SV198 )
= $false )
| ( ( r2_hidden @ ( sK46_SY482 @ SV198 @ SV73 ) @ SV73 )
= $true )
| ( ( ( sK62_SY704 @ SV73 @ SV198 )
= ( k4_tarski @ SV371 @ SV372 ) )
= $false )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[9083]) ).
thf(9092,plain,
! [SV73: $i,SV198: $i,SV367: $i,SV369: $i] :
( ( ( ~ ( r2_hidden @ ( k4_tarski @ ( sK72_SY707 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK74_SY868 @ SV73 @ SV198 @ SV367 @ SV369 ) ) @ SV198 ) )
= $false )
| ( ( r2_hidden @ ( k4_tarski @ ( sK72_SY707 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK74_SY868 @ SV73 @ SV198 @ SV367 @ SV369 ) ) @ SV73 )
= $true )
| ( ( ( sK46_SY482 @ SV198 @ SV73 )
= ( k4_tarski @ SV367 @ SV369 ) )
= $false )
| ( ( r2_hidden @ ( sK66_SY704 @ SV369 @ SV367 @ SV73 @ SV198 ) @ SV198 )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[9085]) ).
thf(9093,plain,
! [SV73: $i,SV198: $i,SV367: $i,SV369: $i] :
( ( ( r2_hidden @ ( k4_tarski @ ( sK72_SY707 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK74_SY868 @ SV73 @ SV198 @ SV367 @ SV369 ) ) @ SV73 )
= $false )
| ( ( r2_hidden @ ( k4_tarski @ ( sK72_SY707 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK74_SY868 @ SV73 @ SV198 @ SV367 @ SV369 ) ) @ SV73 )
= $true )
| ( ( ( sK46_SY482 @ SV198 @ SV73 )
= ( k4_tarski @ SV367 @ SV369 ) )
= $false )
| ( ( r2_hidden @ ( sK66_SY704 @ SV369 @ SV367 @ SV73 @ SV198 ) @ SV198 )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[9085]) ).
thf(9094,plain,
! [SV73: $i,SV198: $i,SV367: $i,SV369: $i] :
( ( ( r2_hidden @ ( k4_tarski @ ( sK72_SY707 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK74_SY868 @ SV73 @ SV198 @ SV367 @ SV369 ) ) @ SV198 )
= $true )
| ( ( r2_hidden @ ( k4_tarski @ ( sK72_SY707 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK74_SY868 @ SV73 @ SV198 @ SV367 @ SV369 ) ) @ SV198 )
= $false )
| ( ( ( sK46_SY482 @ SV198 @ SV73 )
= ( k4_tarski @ SV367 @ SV369 ) )
= $false )
| ( ( r2_hidden @ ( sK66_SY704 @ SV369 @ SV367 @ SV73 @ SV198 ) @ SV198 )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[9086]) ).
thf(9095,plain,
! [SV73: $i,SV198: $i,SV367: $i,SV369: $i,SV375: $i,SV377: $i] :
( ( ( ~ ( r2_hidden @ ( k4_tarski @ ( sK75_SY707 @ SV377 @ SV375 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK76_SY869 @ SV73 @ SV198 @ SV367 @ SV369 @ SV375 @ SV377 ) ) @ SV73 ) )
= $false )
| ( ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ ( sK75_SY707 @ SV377 @ SV375 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK76_SY869 @ SV73 @ SV198 @ SV367 @ SV369 @ SV375 @ SV377 ) ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ ( sK75_SY707 @ SV377 @ SV375 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK76_SY869 @ SV73 @ SV198 @ SV367 @ SV369 @ SV375 @ SV377 ) ) @ SV73 ) ) )
= $true )
| ( ( ( sK46_SY482 @ SV198 @ SV73 )
= ( k4_tarski @ SV367 @ SV369 ) )
= $false )
| ( ( ( sK66_SY704 @ SV369 @ SV367 @ SV73 @ SV198 )
= ( k4_tarski @ SV375 @ SV377 ) )
= $false )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[9088]) ).
thf(9096,plain,
! [SV73: $i,SV198: $i,SV367: $i,SV369: $i,SV375: $i,SV377: $i] :
( ( ( r2_hidden @ ( k4_tarski @ ( sK75_SY707 @ SV377 @ SV375 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK76_SY869 @ SV73 @ SV198 @ SV367 @ SV369 @ SV375 @ SV377 ) ) @ SV198 )
= $false )
| ( ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ ( sK75_SY707 @ SV377 @ SV375 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK76_SY869 @ SV73 @ SV198 @ SV367 @ SV369 @ SV375 @ SV377 ) ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ ( sK75_SY707 @ SV377 @ SV375 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK76_SY869 @ SV73 @ SV198 @ SV367 @ SV369 @ SV375 @ SV377 ) ) @ SV73 ) ) )
= $true )
| ( ( ( sK46_SY482 @ SV198 @ SV73 )
= ( k4_tarski @ SV367 @ SV369 ) )
= $false )
| ( ( ( sK66_SY704 @ SV369 @ SV367 @ SV73 @ SV198 )
= ( k4_tarski @ SV375 @ SV377 ) )
= $false )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[9088]) ).
thf(9097,plain,
! [SV73: $i,SV198: $i,SV371: $i,SV372: $i] :
( ( ( r2_hidden @ ( k4_tarski @ ( sK71_SY707 @ SV372 @ SV371 @ SV198 @ SV73 ) @ ( sK73_SY867 @ SV73 @ SV198 @ SV371 @ SV372 ) ) @ SV198 )
= $true )
| ( ( r2_hidden @ ( k4_tarski @ ( sK71_SY707 @ SV372 @ SV371 @ SV198 @ SV73 ) @ ( sK73_SY867 @ SV73 @ SV198 @ SV371 @ SV372 ) ) @ SV73 )
= $true )
| ( ( r2_hidden @ ( sK46_SY482 @ SV198 @ SV73 ) @ SV73 )
= $true )
| ( ( ( sK62_SY704 @ SV73 @ SV198 )
= ( k4_tarski @ SV371 @ SV372 ) )
= $false )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[9089]) ).
thf(9098,plain,
! [SV73: $i,SV198: $i,SV367: $i,SV369: $i] :
( ( ( r2_hidden @ ( k4_tarski @ ( sK72_SY707 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK74_SY868 @ SV73 @ SV198 @ SV367 @ SV369 ) ) @ SV198 )
= $true )
| ( ( r2_hidden @ ( k4_tarski @ ( sK72_SY707 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK74_SY868 @ SV73 @ SV198 @ SV367 @ SV369 ) ) @ SV73 )
= $true )
| ( ( ( sK46_SY482 @ SV198 @ SV73 )
= ( k4_tarski @ SV367 @ SV369 ) )
= $false )
| ( ( r2_hidden @ ( sK66_SY704 @ SV369 @ SV367 @ SV73 @ SV198 ) @ SV198 )
= $true )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[9092]) ).
thf(9099,plain,
! [SV73: $i,SV198: $i,SV367: $i,SV369: $i,SV375: $i,SV377: $i] :
( ( ( r2_hidden @ ( k4_tarski @ ( sK75_SY707 @ SV377 @ SV375 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK76_SY869 @ SV73 @ SV198 @ SV367 @ SV369 @ SV375 @ SV377 ) ) @ SV73 )
= $true )
| ( ( ~ ( ~ ( r2_hidden @ ( k4_tarski @ ( sK75_SY707 @ SV377 @ SV375 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK76_SY869 @ SV73 @ SV198 @ SV367 @ SV369 @ SV375 @ SV377 ) ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ ( sK75_SY707 @ SV377 @ SV375 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK76_SY869 @ SV73 @ SV198 @ SV367 @ SV369 @ SV375 @ SV377 ) ) @ SV73 ) ) )
= $true )
| ( ( ( sK46_SY482 @ SV198 @ SV73 )
= ( k4_tarski @ SV367 @ SV369 ) )
= $false )
| ( ( ( sK66_SY704 @ SV369 @ SV367 @ SV73 @ SV198 )
= ( k4_tarski @ SV375 @ SV377 ) )
= $false )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[9095]) ).
thf(9100,plain,
! [SV73: $i,SV198: $i,SV367: $i,SV369: $i,SV375: $i,SV377: $i] :
( ( ( ~ ( r2_hidden @ ( k4_tarski @ ( sK75_SY707 @ SV377 @ SV375 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK76_SY869 @ SV73 @ SV198 @ SV367 @ SV369 @ SV375 @ SV377 ) ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ ( sK75_SY707 @ SV377 @ SV375 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK76_SY869 @ SV73 @ SV198 @ SV367 @ SV369 @ SV375 @ SV377 ) ) @ SV73 ) )
= $false )
| ( ( r2_hidden @ ( k4_tarski @ ( sK75_SY707 @ SV377 @ SV375 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK76_SY869 @ SV73 @ SV198 @ SV367 @ SV369 @ SV375 @ SV377 ) ) @ SV198 )
= $false )
| ( ( ( sK46_SY482 @ SV198 @ SV73 )
= ( k4_tarski @ SV367 @ SV369 ) )
= $false )
| ( ( ( sK66_SY704 @ SV369 @ SV367 @ SV73 @ SV198 )
= ( k4_tarski @ SV375 @ SV377 ) )
= $false )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[9096]) ).
thf(9101,plain,
! [SV73: $i,SV198: $i,SV367: $i,SV369: $i,SV375: $i,SV377: $i] :
( ( ( ~ ( r2_hidden @ ( k4_tarski @ ( sK75_SY707 @ SV377 @ SV375 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK76_SY869 @ SV73 @ SV198 @ SV367 @ SV369 @ SV375 @ SV377 ) ) @ SV198 )
| ( r2_hidden @ ( k4_tarski @ ( sK75_SY707 @ SV377 @ SV375 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK76_SY869 @ SV73 @ SV198 @ SV367 @ SV369 @ SV375 @ SV377 ) ) @ SV73 ) )
= $false )
| ( ( r2_hidden @ ( k4_tarski @ ( sK75_SY707 @ SV377 @ SV375 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK76_SY869 @ SV73 @ SV198 @ SV367 @ SV369 @ SV375 @ SV377 ) ) @ SV73 )
= $true )
| ( ( ( sK46_SY482 @ SV198 @ SV73 )
= ( k4_tarski @ SV367 @ SV369 ) )
= $false )
| ( ( ( sK66_SY704 @ SV369 @ SV367 @ SV73 @ SV198 )
= ( k4_tarski @ SV375 @ SV377 ) )
= $false )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[9099]) ).
thf(9102,plain,
! [SV73: $i,SV198: $i,SV367: $i,SV369: $i,SV375: $i,SV377: $i] :
( ( ( ~ ( r2_hidden @ ( k4_tarski @ ( sK75_SY707 @ SV377 @ SV375 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK76_SY869 @ SV73 @ SV198 @ SV367 @ SV369 @ SV375 @ SV377 ) ) @ SV198 ) )
= $false )
| ( ( r2_hidden @ ( k4_tarski @ ( sK75_SY707 @ SV377 @ SV375 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK76_SY869 @ SV73 @ SV198 @ SV367 @ SV369 @ SV375 @ SV377 ) ) @ SV198 )
= $false )
| ( ( ( sK46_SY482 @ SV198 @ SV73 )
= ( k4_tarski @ SV367 @ SV369 ) )
= $false )
| ( ( ( sK66_SY704 @ SV369 @ SV367 @ SV73 @ SV198 )
= ( k4_tarski @ SV375 @ SV377 ) )
= $false )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[9100]) ).
thf(9103,plain,
! [SV73: $i,SV198: $i,SV367: $i,SV369: $i,SV375: $i,SV377: $i] :
( ( ( r2_hidden @ ( k4_tarski @ ( sK75_SY707 @ SV377 @ SV375 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK76_SY869 @ SV73 @ SV198 @ SV367 @ SV369 @ SV375 @ SV377 ) ) @ SV73 )
= $false )
| ( ( r2_hidden @ ( k4_tarski @ ( sK75_SY707 @ SV377 @ SV375 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK76_SY869 @ SV73 @ SV198 @ SV367 @ SV369 @ SV375 @ SV377 ) ) @ SV198 )
= $false )
| ( ( ( sK46_SY482 @ SV198 @ SV73 )
= ( k4_tarski @ SV367 @ SV369 ) )
= $false )
| ( ( ( sK66_SY704 @ SV369 @ SV367 @ SV73 @ SV198 )
= ( k4_tarski @ SV375 @ SV377 ) )
= $false )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[9100]) ).
thf(9104,plain,
! [SV73: $i,SV198: $i,SV367: $i,SV369: $i,SV375: $i,SV377: $i] :
( ( ( ~ ( r2_hidden @ ( k4_tarski @ ( sK75_SY707 @ SV377 @ SV375 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK76_SY869 @ SV73 @ SV198 @ SV367 @ SV369 @ SV375 @ SV377 ) ) @ SV198 ) )
= $false )
| ( ( r2_hidden @ ( k4_tarski @ ( sK75_SY707 @ SV377 @ SV375 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK76_SY869 @ SV73 @ SV198 @ SV367 @ SV369 @ SV375 @ SV377 ) ) @ SV73 )
= $true )
| ( ( ( sK46_SY482 @ SV198 @ SV73 )
= ( k4_tarski @ SV367 @ SV369 ) )
= $false )
| ( ( ( sK66_SY704 @ SV369 @ SV367 @ SV73 @ SV198 )
= ( k4_tarski @ SV375 @ SV377 ) )
= $false )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[9101]) ).
thf(9105,plain,
! [SV73: $i,SV198: $i,SV367: $i,SV369: $i,SV375: $i,SV377: $i] :
( ( ( r2_hidden @ ( k4_tarski @ ( sK75_SY707 @ SV377 @ SV375 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK76_SY869 @ SV73 @ SV198 @ SV367 @ SV369 @ SV375 @ SV377 ) ) @ SV73 )
= $false )
| ( ( r2_hidden @ ( k4_tarski @ ( sK75_SY707 @ SV377 @ SV375 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK76_SY869 @ SV73 @ SV198 @ SV367 @ SV369 @ SV375 @ SV377 ) ) @ SV73 )
= $true )
| ( ( ( sK46_SY482 @ SV198 @ SV73 )
= ( k4_tarski @ SV367 @ SV369 ) )
= $false )
| ( ( ( sK66_SY704 @ SV369 @ SV367 @ SV73 @ SV198 )
= ( k4_tarski @ SV375 @ SV377 ) )
= $false )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[9101]) ).
thf(9106,plain,
! [SV73: $i,SV198: $i,SV367: $i,SV369: $i,SV375: $i,SV377: $i] :
( ( ( r2_hidden @ ( k4_tarski @ ( sK75_SY707 @ SV377 @ SV375 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK76_SY869 @ SV73 @ SV198 @ SV367 @ SV369 @ SV375 @ SV377 ) ) @ SV198 )
= $true )
| ( ( r2_hidden @ ( k4_tarski @ ( sK75_SY707 @ SV377 @ SV375 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK76_SY869 @ SV73 @ SV198 @ SV367 @ SV369 @ SV375 @ SV377 ) ) @ SV198 )
= $false )
| ( ( ( sK46_SY482 @ SV198 @ SV73 )
= ( k4_tarski @ SV367 @ SV369 ) )
= $false )
| ( ( ( sK66_SY704 @ SV369 @ SV367 @ SV73 @ SV198 )
= ( k4_tarski @ SV375 @ SV377 ) )
= $false )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[9102]) ).
thf(9107,plain,
! [SV73: $i,SV198: $i,SV367: $i,SV369: $i,SV375: $i,SV377: $i] :
( ( ( r2_hidden @ ( k4_tarski @ ( sK75_SY707 @ SV377 @ SV375 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK76_SY869 @ SV73 @ SV198 @ SV367 @ SV369 @ SV375 @ SV377 ) ) @ SV198 )
= $true )
| ( ( r2_hidden @ ( k4_tarski @ ( sK75_SY707 @ SV377 @ SV375 @ SV369 @ SV367 @ SV198 @ SV73 ) @ ( sK76_SY869 @ SV73 @ SV198 @ SV367 @ SV369 @ SV375 @ SV377 ) ) @ SV73 )
= $true )
| ( ( ( sK46_SY482 @ SV198 @ SV73 )
= ( k4_tarski @ SV367 @ SV369 ) )
= $false )
| ( ( ( sK66_SY704 @ SV369 @ SV367 @ SV73 @ SV198 )
= ( k4_tarski @ SV375 @ SV377 ) )
= $false )
| ( ( SV73 = SV198 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[9104]) ).
thf(9108,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[5681,9107,9106,9105,9103,9098,9097,9094,9093,9091,9090,9087,9084,9076,9070,9069,9064,9056,9055,9049,9046,9045,9040,9038,9037,9035,9027,9025,9024,9023,9022,9016,9015,9008,9007,9006,9005,9002,9001,8989,8988,8981,8980,8979,8978,8977,8975,8974,8972,8968,8957,8943,8942,8940,8937,8931,8930,8920,8919,8918,8914,8913,8909,8904,8902,8885,8883,8877,8875,8871,8854,8853,8848,8846,8842,8841,8838,8832,8829,8810,8809,8807,8795,8794,8789,8788,8787,8783,8781,8780,8773,8768,8765,8744,8743,8742,8741,8740,8737,8736,8735,8730,8729,8724,8723,8722,8716,8705,8693,8689,8685,8682,8679,8676,8671,8668,8651,8644,8643,8632,8631,8630,8626,8625,8624,8622,8620,8618,8610,8609,8608,8605,8595,8593,8591,8577,8573,8565,8562,8555,8554,8549,8543,8542,8541,8540,8530,8529,8515,8514,8513,8511,8510,8480,8475,8474,8472,8471,8463,8462,8454,8436,8405,8404,8386,8378,8377,8368,8367,8353,8352,8348,8341,8340,8336,8335,8324,8323,8309,8307,8306,8305,8300,8299,8291,8286,8283,8282,8281,8273,8269,8260,8252,8248,8244,8230,8215,8200,8194,8193,8192,8189,8179,8173,8172,8165,8163,8154,8153,8145,8129,8111,8110,8109,8098,8097,8094,8093,8069,8068,8062,8047,8043,8029,8021,8014,8013,8009,8000,7999,7990,7985,7984,7982,7972,7969,7967,7966,7961,7948,7947,7941,7936,7935,7934,7902,7893,7892,7877,7876,7875,7858,7857,7828,7825,7823,7821,7820,7795,7788,7786,7785,7772,7771,7762,7754,7753,7747,7738,7733,7727,7723,7714,7705,7704,7703,7699,7697,7681,7662,7651,7649,7644,7643,7637,7636,7615,7598,7588,7587,7586,7583,7560,7556,7538,7522,7507,7484,7470,7447,7433,7403,7389,7388,7375,7358,7338,7333,7322,7309,7272,7266,7265,7240,7213,7208,7199,7189,7184,7183,7161,7157,7126,7121,7114,7106,7105,7104,6961,6960,6959,6958,6957,6955,6954,6952,6951,6949,6807,6805,6804,6803,6801,6800,6799,6798,6796,6795,6794,6793,6788,6787,6785,6784,6783,6782,6781,6780,6779,6778,6773,6772,6770,6769,6768,6767,6766,6765,6619,6617,6616,6615,6614,6612,6611,6610,6609,6608,6607,6606,6605,6604,6603,6602,6601,6600,6599,6598,6597,6596,6595,6594,6593,6592,6591,6590,6589,6588,6587,6586,6585,6584,6583,6582,6581,6580,6579,6578,6577,6576,6575,6574,6573,6572,6571,6570,6569,6568,6567,6566,6565,6564,6563,6562,6561,6560,6559,6558,6557,6556,6555,6554,6553,6552,6551,6550,6549,6548,6547,6546,6545,6544,6543,6542,6541,6540,6539,6538,6537,6536,6535,6534,6533,6532,6531,6530,6529,6528,6527,6526,6525,6524,6523,6522,6521,6520,6519,6518,6517,6516,6515,6514,6513,6512,6511,6510,6509,6508,6507,6506,6505,6504,6503,6502,6501,6500,6499,6498,6497,6496,6495,6494,6493,6492,6491,6490,6489,6488,6487,6486,6485,6484,6483,6482,6481,6480,6479,6478,6477,6476,6475,6474,6473,6472,6471,6470,6469,6468,6467,6466,6465,6464,6463,6462,6461,6460,6459,6458,6457,6456,6455,6454,6453,6452,6451,6450,6449,6448,6447,6446,6445,6444,6443,6442,6441,6440,6439,6438,6436,6435,6434,6431,6429,6428,6427,6426,6425,6424,6423,6422,6419,6418,6417,6411,6410,6409,6408,6407,6406,6405,6404,6403,6402,6401,6400,6399,6364,6363,6362,6361,6360,6359,6358,6357,6356,6355,6353,6352,6347,6346,6344,6343,6342,6341,6340,6338,6337,6336,6335,6334,6333,6332,6331,6330,6329,6328,6327,6326,6325,6324,6323,6322,6321,6320,6319,6318,6316,6315,6314,6313,6312,6311,6310,6308,6307,6306,6305,6304,6303,6302,6299,6298,6297,6296,6295,6293,6292,6291,6290,6289,6288,6287,6286,6285,6284,6283,6282,6281,6280,6279,6277,6276,6275,6274,6273,6272,6271,6270,6269,6268,6267,6266,6265,6264,6263,6262,6261,6260,6259,6258,6257,6256,6255,6254,6253,6252,6251,6250,6249,6248,6247,6246,6245,6244,6243,6242,6241,6240,6239,6238,6237,6236,6235,6234,6233,6232,6231,6230,6229,6228,6227,6226,6225,6220,6219,6218,6217,6216,6215,6214,6212,6211,6210,6209,6208,6207,6206,6205,6204,6203,6202,6201,6198,6197,6196,6195,6194,6193,6192,6191,6190,6189,6188,6187,6186,6185,6184,6183,6182,6181,6180,6179,6178,6177,6175,6174,6173,6172,6171,6170,6169,6168,6167,6166,6164,6163,6162,6161,6160,6159,6158,6157,6156,6155,6154,6153,6152,6151,6150,6149,6148,6147,6146,6145,6144,6143,6142,6141,6140,6139,6138,6137,6136,6135,6134,6133,6132,6131,6130,6129,6128,6127,6126,6125,6124,6123,6122,6121,6120,6119,6118,6117,6116,6115,6114,6113,6112,6111,6110,6109,6108,6107,6106,6105,6104,6103,6102,6101,6100,6099,6097,6096,6095,6094,6091,6090,6089,6088,6087,6086,6085,6084,6083,6082,6081,6080,6079,6078,6077,6076,6075,6074,6073,6072,6071,6070,6069,6068,6067,6066,6065,6064,6063,6062,6061,6060,6059,6058,6057,6056,6055,6054,6053,6052,6051,6050,6049,6048,6047,6046,6045,6044,6042,6041,6040,6039,6038,6037,6036,6035,6034,6033,6032,6031,6030,6029,6028,6027,6026,6025,6024,6023,6022,6021,6020,6019,6018,6017,6016,6015,6014,6013,6012,6011,6009,6007,6006,6005,6004,6003,6002,5998,5997,5996,5995,5994,5993,5992,5991,5990,5988,5987,5986,5985,5982,5981,5978,5977,5976,5975,5974,5971,5969,5968,5962,5961,5959,5958,5957,5956,5955,5954,5953,5952,5951,5950,5949,5948,5947,5946,5945,5944,5943,5942,5941,5940,5939,5938,5937,5936,5935,5934,5933,5932,5931,5930,5929,5928,5927,5926,5925,5924,5923,5922,5921,5920,5919,5918,5917,5916,5915,5914,5913,5912,5911,5910,5909,5908,5907,5906,5905,5904,5903,5901,5900,5899,5898,5897,5896,5895,5894,5893,5892,5891,5890,5889,5888,5887,5886,5885,5884,5882,5881,5880,5879,5878,5876,5875,5874,5872,5871,5869,5868,5866,5865,5864,5863,5862,5861,5860,5859,5858,5857,5856,5855,5854,5853,5852,5851,5850,5849,5848,5847,5846,5845,5844,5843,5842,5833,5832,5831,5830,5827,5826,5825,5823,5822,5821,5820,5819,5818,5817,5816,5813,5812,5811,5810,5808,5807,5795,5792,5791,5790,5789,5788,5787,5786,5785,5784,5783,5782,5780,5778,5777,5775,5774,5773,5770,5761,5760,5759,5758,5756,5752,5751,5750,5749,5748,5747,5746,5745,5744,5743,5742,5741,5739,5738,5737,5736,5735,5734,5733,5715,5714,5713,5712,5711,5697,5696,5695,5694,5693,5692,5690,5689,5686,5685]) ).
thf(9109,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[9108]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG227+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.15 % Computer : n008.cluster.edu
% 0.08/0.15 % Model : x86_64 x86_64
% 0.08/0.15 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.15 % Memory : 8046.5625MB
% 0.08/0.15 % OS : Linux 6.8.0-71-generic
% 0.08/0.15 % CPULimit : 300
% 0.08/0.15 % WCLimit : 300
% 0.08/0.15 % DateTime : Tue Oct 6 18:09:25 UTC 2026
% 0.08/0.15 % CPUTime :
% 0.08/0.15 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 146.75/29.51 ...........................................
% 146.75/29.51
% 146.75/29.51 No.of.Axioms: 942
% 146.75/29.51
% 146.75/29.51 Length.of.Defs: 0
% 146.75/29.51
% 146.75/29.51 Contains.Choice.Funs: false
% 146.75/29.51 .............................................................................................................................................................................................................
% 146.75/29.51
% 146.75/29.51 ********************************
% 146.75/29.51 * All subproblems solved! *
% 146.75/29.51 ********************************
% 146.75/29.51 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:943,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:294,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:9108,loop_count:0,foatp_calls:1,translation:fof_full)
% 146.75/29.51
% 146.75/29.51 %**** Beginning of derivation protocol ****
% 146.75/29.51 % SZS output start CNFRefutation
% See solution above
% 146.75/29.57
% 146.75/29.57 %**** End of derivation protocol ****
% 146.75/29.57 %**** no. of clauses in derivation: 5321 ****
% 146.75/29.57 %**** clause counter: 9108 ****
% 146.75/29.57
% 146.75/29.57 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:943,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:294,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:9108,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------