%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : GRP629+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/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 10:21:24 AM UTC 2026
% Result : Theorem 213.65s 35.88s
% Output : CNFRefutation 35.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 59
% Number of leaves : 841
% Syntax : Number of formulae : 5130 (2757 unt; 0 typ; 0 def)
% Number of atoms : 55363 (19116 equ; 0 cnn)
% Maximal formula atoms : 17 ( 10 avg)
% Number of connectives : 101334 (24779 ~;19178 |; 937 &;55808 @)
% ( 24 <=>; 608 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 913 ( 910 usr; 258 con; 0-8 aty)
% Number of variables : 7553 ( 0 ^;7496 !; 57 ?;7553 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a_0_0_fraenkel,type,
a_0_0_fraenkel: $i ).
thf(tp_a_0_0_group_5,type,
a_0_0_group_5: $i ).
thf(tp_a_0_0_numbers,type,
a_0_0_numbers: $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_finseq_1,type,
a_1_0_finseq_1: $i > $i ).
thf(tp_a_1_0_group_2,type,
a_1_0_group_2: $i > $i ).
thf(tp_a_1_0_group_5,type,
a_1_0_group_5: $i > $i ).
thf(tp_a_1_0_group_6,type,
a_1_0_group_6: $i > $i ).
thf(tp_a_2_0_group_2,type,
a_2_0_group_2: $i > $i > $i ).
thf(tp_a_2_0_group_3,type,
a_2_0_group_3: $i > $i > $i ).
thf(tp_a_2_1_group_3,type,
a_2_1_group_3: $i > $i > $i ).
thf(tp_a_2_2_group_3,type,
a_2_2_group_3: $i > $i > $i ).
thf(tp_a_2_3_group_3,type,
a_2_3_group_3: $i > $i > $i ).
thf(tp_a_3_0_group_2,type,
a_3_0_group_2: $i > $i > $i > $i ).
thf(tp_a_3_0_group_3,type,
a_3_0_group_3: $i > $i > $i > $i ).
thf(tp_a_3_0_group_5,type,
a_3_0_group_5: $i > $i > $i > $i ).
thf(tp_a_3_0_group_6,type,
a_3_0_group_6: $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_binop_1,type,
f1_s1_binop_1: $i ).
thf(tp_f1_s1_finseq_1,type,
f1_s1_finseq_1: $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_group_5,type,
f1_s1_group_5: $i ).
thf(tp_f1_s1_partfun1,type,
f1_s1_partfun1: $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_binop_1,type,
f1_s2_binop_1: $i ).
thf(tp_f1_s2_finseq_1,type,
f1_s2_finseq_1: $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_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_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_subset_1,type,
f1_s3_subset_1: $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_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_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_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_group_5,type,
f2_s1_group_5: $i ).
thf(tp_f2_s1_partfun1,type,
f2_s1_partfun1: $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_binop_1,type,
f2_s2_binop_1: $i > $i > $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_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_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_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_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_finset_1,type,
f3_s1_finset_1: $i > $i ).
thf(tp_f3_s1_group_5,type,
f3_s1_group_5: $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_s3_ordinal1,type,
f3_s3_ordinal1: $i ).
thf(tp_f3_s3_partfun1,type,
f3_s3_partfun1: $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_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_s1_group_5,type,
f4_s1_group_5: $i > $i > $i > $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_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_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_funcsdom,type,
g1_funcsdom: $i > $i > $i > $i > $i > $i > $i ).
thf(tp_g1_group_1,type,
g1_group_1: $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_vectsp_1,type,
g1_vectsp_1: $i > $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_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_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_funcsdom,type,
k10_funcsdom: $i > $i ).
thf(tp_k10_group_1,type,
k10_group_1: $i > $i > $i > $i ).
thf(tp_k10_group_2,type,
k10_group_2: $i > $i > $i > $i ).
thf(tp_k10_group_3,type,
k10_group_3: $i > $i > $i ).
thf(tp_k10_group_5,type,
k10_group_5: $i > $i ).
thf(tp_k10_group_6,type,
k10_group_6: $i > $i > $i ).
thf(tp_k10_ordinal2,type,
k10_ordinal2: $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_k11_finseq_1,type,
k11_finseq_1: $i > $i > $i > $i ).
thf(tp_k11_funcsdom,type,
k11_funcsdom: $i > $i ).
thf(tp_k11_group_2,type,
k11_group_2: $i > $i > $i > $i ).
thf(tp_k11_group_3,type,
k11_group_3: $i > $i > $i ).
thf(tp_k11_group_6,type,
k11_group_6: $i > $i > $i ).
thf(tp_k11_ordinal2,type,
k11_ordinal2: $i > $i ).
thf(tp_k11_relset_1,type,
k11_relset_1: $i > $i > $i > $i > $i ).
thf(tp_k12_finseq_1,type,
k12_finseq_1: $i > $i > $i ).
thf(tp_k12_funcsdom,type,
k12_funcsdom: $i > $i ).
thf(tp_k12_funct_3,type,
k12_funct_3: $i > $i ).
thf(tp_k12_group_2,type,
k12_group_2: $i > $i > $i > $i ).
thf(tp_k12_group_6,type,
k12_group_6: $i > $i > $i > $i ).
thf(tp_k12_ordinal2,type,
k12_ordinal2: $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_funcsdom,type,
k13_funcsdom: $i > $i ).
thf(tp_k13_funct_3,type,
k13_funct_3: $i > $i > $i ).
thf(tp_k13_group_2,type,
k13_group_2: $i > $i > $i > $i ).
thf(tp_k13_group_6,type,
k13_group_6: $i > $i > $i > $i ).
thf(tp_k13_ordinal2,type,
k13_ordinal2: $i > $i > $i ).
thf(tp_k14_finseq_1,type,
k14_finseq_1: $i > $i ).
thf(tp_k14_group_2,type,
k14_group_2: $i > $i > $i ).
thf(tp_k14_ordinal2,type,
k14_ordinal2: $i > $i > $i ).
thf(tp_k15_finseq_1,type,
k15_finseq_1: $i > $i ).
thf(tp_k15_group_2,type,
k15_group_2: $i > $i > $i ).
thf(tp_k15_ordinal2,type,
k15_ordinal2: $i > $i > $i ).
thf(tp_k16_finseq_1,type,
k16_finseq_1: $i > $i > $i > $i ).
thf(tp_k16_group_2,type,
k16_group_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_group_2,type,
k17_group_2: $i > $i > $i ).
thf(tp_k18_group_2,type,
k18_group_2: $i > $i > $i ).
thf(tp_k1_autgroup,type,
k1_autgroup: $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_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_finsub_1,type,
k1_finsub_1: $i > $i > $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_funcsdom,type,
k1_funcsdom: $i > $i > $i > $i > $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_gr_cy_2,type,
k1_gr_cy_2: $i > $i > $i ).
thf(tp_k1_group_1,type,
k1_group_1: $i > $i > $i > $i ).
thf(tp_k1_group_2,type,
k1_group_2: $i > $i > $i ).
thf(tp_k1_group_3,type,
k1_group_3: $i > $i ).
thf(tp_k1_group_5,type,
k1_group_5: $i > $i > $i > $i ).
thf(tp_k1_group_6,type,
k1_group_6: $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_mcart_1,type,
k1_mcart_1: $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_real_1,type,
k1_real_1: $i > $i ).
thf(tp_k1_realset1,type,
k1_realset1: $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_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_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_k2_arytm_2,type,
k2_arytm_2: $i ).
thf(tp_k2_autgroup,type,
k2_autgroup: $i > $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_enumset1,type,
k2_enumset1: $i > $i > $i > $i > $i ).
thf(tp_k2_finseq_1,type,
k2_finseq_1: $i > $i ).
thf(tp_k2_finsub_1,type,
k2_finsub_1: $i > $i > $i > $i ).
thf(tp_k2_funcop_1,type,
k2_funcop_1: $i > $i > $i ).
thf(tp_k2_funcsdom,type,
k2_funcsdom: $i > $i > $i > $i > $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_group_1,type,
k2_group_1: $i > $i ).
thf(tp_k2_group_2,type,
k2_group_2: $i > $i > $i > $i ).
thf(tp_k2_group_3,type,
k2_group_3: $i > $i > $i > $i ).
thf(tp_k2_group_5,type,
k2_group_5: $i > $i > $i > $i ).
thf(tp_k2_group_6,type,
k2_group_6: $i > $i > $i > $i ).
thf(tp_k2_int_1,type,
k2_int_1: $i > $i ).
thf(tp_k2_mcart_1,type,
k2_mcart_1: $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_realset1,type,
k2_realset1: $i > $i > $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_setwiseo,type,
k2_setwiseo: $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_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_autgroup,type,
k3_autgroup: $i > $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_enumset1,type,
k3_enumset1: $i > $i > $i > $i > $i > $i ).
thf(tp_k3_finseq_1,type,
k3_finseq_1: $i > $i ).
thf(tp_k3_finsub_1,type,
k3_finsub_1: $i > $i > $i > $i ).
thf(tp_k3_funcop_1,type,
k3_funcop_1: $i > $i > $i > $i ).
thf(tp_k3_funcsdom,type,
k3_funcsdom: $i > $i > $i > $i ).
thf(tp_k3_funct_2,type,
k3_funct_2: $i > $i > $i > $i > $i ).
thf(tp_k3_gr_cy_1,type,
k3_gr_cy_1: $i ).
thf(tp_k3_group_1,type,
k3_group_1: $i > $i > $i ).
thf(tp_k3_group_2,type,
k3_group_2: $i > $i > $i > $i ).
thf(tp_k3_group_3,type,
k3_group_3: $i > $i > $i > $i ).
thf(tp_k3_group_4,type,
k3_group_4: $i > $i > $i ).
thf(tp_k3_group_5,type,
k3_group_5: $i > $i > $i > $i > $i ).
thf(tp_k3_group_6,type,
k3_group_6: $i > $i > $i > $i ).
thf(tp_k3_int_1,type,
k3_int_1: $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_real_1,type,
k3_real_1: $i > $i > $i ).
thf(tp_k3_realset1,type,
k3_realset1: $i > $i > $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_subset_1,type,
k3_subset_1: $i > $i > $i ).
thf(tp_k3_tarski,type,
k3_tarski: $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_autgroup,type,
k4_autgroup: $i > $i ).
thf(tp_k4_card_1,type,
k4_card_1: $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_4,type,
k4_finseq_4: $i > $i > $i > $i > $i ).
thf(tp_k4_finsub_1,type,
k4_finsub_1: $i > $i > $i > $i ).
thf(tp_k4_funcop_1,type,
k4_funcop_1: $i > $i > $i > $i ).
thf(tp_k4_funcsdom,type,
k4_funcsdom: $i > $i > $i > $i > $i > $i ).
thf(tp_k4_funct_2,type,
k4_funct_2: $i > $i > $i > $i ).
thf(tp_k4_group_1,type,
k4_group_1: $i > $i ).
thf(tp_k4_group_2,type,
k4_group_2: $i > $i > $i > $i ).
thf(tp_k4_group_3,type,
k4_group_3: $i > $i > $i > $i ).
thf(tp_k4_group_4,type,
k4_group_4: $i > $i > $i > $i ).
thf(tp_k4_group_5,type,
k4_group_5: $i > $i > $i > $i ).
thf(tp_k4_group_6,type,
k4_group_6: $i > $i > $i ).
thf(tp_k4_int_1,type,
k4_int_1: $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_real_1,type,
k4_real_1: $i > $i > $i ).
thf(tp_k4_realset1,type,
k4_realset1: $i > $i > $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_subset_1,type,
k4_subset_1: $i > $i > $i > $i ).
thf(tp_k4_tarski,type,
k4_tarski: $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_autgroup,type,
k5_autgroup: $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_funcsdom,type,
k5_funcsdom: $i > $i > $i > $i > $i > $i ).
thf(tp_k5_funct_2,type,
k5_funct_2: $i > $i > $i > $i ).
thf(tp_k5_gr_cy_1,type,
k5_gr_cy_1: $i > $i ).
thf(tp_k5_group_1,type,
k5_group_1: $i > $i ).
thf(tp_k5_group_2,type,
k5_group_2: $i > $i ).
thf(tp_k5_group_3,type,
k5_group_3: $i > $i > $i > $i ).
thf(tp_k5_group_4,type,
k5_group_4: $i > $i > $i ).
thf(tp_k5_group_5,type,
k5_group_5: $i > $i > $i > $i ).
thf(tp_k5_group_6,type,
k5_group_6: $i > $i > $i ).
thf(tp_k5_int_1,type,
k5_int_1: $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_real_1,type,
k5_real_1: $i > $i > $i ).
thf(tp_k5_realset1,type,
k5_realset1: $i > $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_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_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_autgroup,type,
k6_autgroup: $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_funcsdom,type,
k6_funcsdom: $i > $i ).
thf(tp_k6_funct_2,type,
k6_funct_2: $i > $i > $i ).
thf(tp_k6_group_1,type,
k6_group_1: $i > $i > $i > $i ).
thf(tp_k6_group_2,type,
k6_group_2: $i > $i ).
thf(tp_k6_group_3,type,
k6_group_3: $i > $i > $i > $i ).
thf(tp_k6_group_5,type,
k6_group_5: $i > $i ).
thf(tp_k6_group_6,type,
k6_group_6: $i > $i > $i ).
thf(tp_k6_int_1,type,
k6_int_1: $i > $i > $i ).
thf(tp_k6_nat_1,type,
k6_nat_1: $i > $i > $i ).
thf(tp_k6_ordinal2,type,
k6_ordinal2: $i > $i ).
thf(tp_k6_partfun1,type,
k6_partfun1: $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_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_domain_1,type,
k7_domain_1: $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_funcsdom,type,
k7_funcsdom: $i > $i ).
thf(tp_k7_funct_2,type,
k7_funct_2: $i > $i > $i > $i > $i > $i ).
thf(tp_k7_group_1,type,
k7_group_1: $i > $i > $i ).
thf(tp_k7_group_2,type,
k7_group_2: $i > $i > $i ).
thf(tp_k7_group_3,type,
k7_group_3: $i > $i > $i ).
thf(tp_k7_group_4,type,
k7_group_4: $i > $i > $i > $i ).
thf(tp_k7_group_5,type,
k7_group_5: $i > $i > $i > $i ).
thf(tp_k7_group_6,type,
k7_group_6: $i > $i > $i > $i ).
thf(tp_k7_ordinal2,type,
k7_ordinal2: $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_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_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_funcsdom,type,
k8_funcsdom: $i > $i ).
thf(tp_k8_funct_2,type,
k8_funct_2: $i > $i > $i > $i > $i ).
thf(tp_k8_group_1,type,
k8_group_1: $i > $i ).
thf(tp_k8_group_2,type,
k8_group_2: $i > $i > $i > $i ).
thf(tp_k8_group_3,type,
k8_group_3: $i > $i > $i ).
thf(tp_k8_group_4,type,
k8_group_4: $i > $i > $i > $i ).
thf(tp_k8_group_5,type,
k8_group_5: $i > $i > $i > $i ).
thf(tp_k8_group_6,type,
k8_group_6: $i > $i > $i > $i > $i > $i ).
thf(tp_k8_ordinal2,type,
k8_ordinal2: $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_subset_1,type,
k8_subset_1: $i > $i ).
thf(tp_k9_domain_1,type,
k9_domain_1: $i > $i > $i > $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_funcsdom,type,
k9_funcsdom: $i > $i ).
thf(tp_k9_funct_2,type,
k9_funct_2: $i > $i > $i > $i ).
thf(tp_k9_group_1,type,
k9_group_1: $i > $i ).
thf(tp_k9_group_2,type,
k9_group_2: $i > $i > $i > $i ).
thf(tp_k9_group_3,type,
k9_group_3: $i > $i > $i ).
thf(tp_k9_group_5,type,
k9_group_5: $i > $i ).
thf(tp_k9_group_6,type,
k9_group_6: $i > $i > $i > $i ).
thf(tp_k9_ordinal2,type,
k9_ordinal2: $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_l1_funcsdom,type,
l1_funcsdom: $i > $o ).
thf(tp_l1_group_1,type,
l1_group_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_vectsp_1,type,
l1_vectsp_1: $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_vectsp_1,type,
l3_vectsp_1: $i > $o ).
thf(tp_l4_vectsp_1,type,
l4_vectsp_1: $i > $i > $o ).
thf(tp_m1_finseq_1,type,
m1_finseq_1: $i > $i > $o ).
thf(tp_m1_fraenkel,type,
m1_fraenkel: $i > $i > $i > $o ).
thf(tp_m1_group_2,type,
m1_group_2: $i > $i > $o ).
thf(tp_m1_group_6,type,
m1_group_6: $i > $i > $i > $o ).
thf(tp_m1_ordinal1,type,
m1_ordinal1: $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_struct_0,type,
m1_struct_0: $i > $i > $i > $o ).
thf(tp_m1_subset_1,type,
m1_subset_1: $i > $i > $o ).
thf(tp_m2_finseq_1,type,
m2_finseq_1: $i > $i > $o ).
thf(tp_m2_fraenkel,type,
m2_fraenkel: $i > $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_realset1,type,
m3_realset1: $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_binop_1,type,
p1_s1_binop_1: $i > $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_group_5,type,
p1_s1_group_5: $i > $i > $i > $o ).
thf(tp_p1_s1_int_1,type,
p1_s1_int_1: $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_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_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_ordinal1,type,
p1_s2_ordinal1: $i > $o ).
thf(tp_p1_s2_partfun1,type,
p1_s2_partfun1: $i > $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_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_partfun1,type,
p1_s3_partfun1: $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_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_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_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_binop_1,type,
r1_binop_1: $i > $i > $i > $o ).
thf(tp_r1_finseqop,type,
r1_finseqop: $i > $i > $i > $o ).
thf(tp_r1_group_2,type,
r1_group_2: $i > $i > $i > $o ).
thf(tp_r1_group_3,type,
r1_group_3: $i > $i > $i > $o ).
thf(tp_r1_group_6,type,
r1_group_6: $i > $i > $o ).
thf(tp_r1_int_1,type,
r1_int_1: $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_realset1,type,
r1_realset1: $i > $i > $i > $o ).
thf(tp_r1_relat_2,type,
r1_relat_2: $i > $i > $o ).
thf(tp_r1_rlvect_1,type,
r1_rlvect_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_binop_1,type,
r2_binop_1: $i > $i > $i > $o ).
thf(tp_r2_group_3,type,
r2_group_3: $i > $i > $i > $o ).
thf(tp_r2_group_6,type,
r2_group_6: $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_realset1,type,
r2_realset1: $i > $i > $i > $o ).
thf(tp_r2_relat_2,type,
r2_relat_2: $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_group_3,type,
r3_group_3: $i > $i > $i > $o ).
thf(tp_r3_relat_2,type,
r3_relat_2: $i > $i > $o ).
thf(tp_r3_xboole_0,type,
r3_xboole_0: $i > $i > $o ).
thf(tp_r4_binop_1,type,
r4_binop_1: $i > $i > $i > $o ).
thf(tp_r4_group_3,type,
r4_group_3: $i > $i > $i > $o ).
thf(tp_r4_relat_2,type,
r4_relat_2: $i > $i > $o ).
thf(tp_r5_binop_1,type,
r5_binop_1: $i > $i > $i > $o ).
thf(tp_r5_group_3,type,
r5_group_3: $i > $i > $i > $o ).
thf(tp_r5_relat_2,type,
r5_relat_2: $i > $i > $o ).
thf(tp_r6_binop_1,type,
r6_binop_1: $i > $i > $i > $o ).
thf(tp_r6_group_3,type,
r6_group_3: $i > $i > $i > $o ).
thf(tp_r6_relat_2,type,
r6_relat_2: $i > $i > $o ).
thf(tp_r7_binop_1,type,
r7_binop_1: $i > $i > $i > $o ).
thf(tp_r7_relat_2,type,
r7_relat_2: $i > $i > $o ).
thf(tp_r8_relat_2,type,
r8_relat_2: $i > $i > $o ).
thf(tp_sK10_SX0,type,
sK10_SX0: $i ).
thf(tp_sK11_SX0,type,
sK11_SX0: $i ).
thf(tp_sK12_SY290,type,
sK12_SY290: $i > $i ).
thf(tp_sK13_SY361,type,
sK13_SY361: $i > $i > $i ).
thf(tp_sK14_SY342,type,
sK14_SY342: $i > $i ).
thf(tp_sK15_SY372,type,
sK15_SY372: $i > $i ).
thf(tp_sK16_SY265,type,
sK16_SY265: $i > $i ).
thf(tp_sK17_SY300,type,
sK17_SY300: $i > $i ).
thf(tp_sK18_SY359,type,
sK18_SY359: $i > $i ).
thf(tp_sK19_SY243,type,
sK19_SY243: $i > $i ).
thf(tp_sK1_A,type,
sK1_A: $i ).
thf(tp_sK20_SY376,type,
sK20_SY376: $i > $i ).
thf(tp_sK21_SY377,type,
sK21_SY377: $i > $i ).
thf(tp_sK22_SY381,type,
sK22_SY381: $i > $i ).
thf(tp_sK23_SY268,type,
sK23_SY268: $i > $i ).
thf(tp_sK24_SY389,type,
sK24_SY389: $i > $i ).
thf(tp_sK25_SY375,type,
sK25_SY375: $i > $i > $i ).
thf(tp_sK26_SY390,type,
sK26_SY390: $i > $i ).
thf(tp_sK27_SY387,type,
sK27_SY387: $i > $i > $i ).
thf(tp_sK28_SY430,type,
sK28_SY430: $i > $i ).
thf(tp_sK29_SY268,type,
sK29_SY268: $i > $i ).
thf(tp_sK2_SX0,type,
sK2_SX0: $i ).
thf(tp_sK30_SY385,type,
sK30_SY385: $i > $i > $i ).
thf(tp_sK31_SY268,type,
sK31_SY268: $i > $i ).
thf(tp_sK32_SY423,type,
sK32_SY423: $i > $i > $i ).
thf(tp_sK33_SY443,type,
sK33_SY443: $i > $i ).
thf(tp_sK34_SY268,type,
sK34_SY268: $i > $i ).
thf(tp_sK35_SY433,type,
sK35_SY433: $i > $i > $i ).
thf(tp_sK36_SY454,type,
sK36_SY454: $i > $i ).
thf(tp_sK37_SY436,type,
sK37_SY436: $i > $i > $i ).
thf(tp_sK38_SY460,type,
sK38_SY460: $i > $i ).
thf(tp_sK39_SY449,type,
sK39_SY449: $i > $i > $i > $i ).
thf(tp_sK3_SX0,type,
sK3_SX0: $i ).
thf(tp_sK40_SY451,type,
sK40_SY451: $i > $i > $i > $i ).
thf(tp_sK41_SY439,type,
sK41_SY439: $i > $i > $i ).
thf(tp_sK4_SX0,type,
sK4_SX0: $i ).
thf(tp_sK5_SX0,type,
sK5_SX0: $i ).
thf(tp_sK6_SX0,type,
sK6_SX0: $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_group_1,type,
u1_group_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_vectsp_1,type,
u1_vectsp_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_v10_vectsp_1,type,
v10_vectsp_1: $i > $o ).
thf(tp_v11_vectsp_1,type,
v11_vectsp_1: $i > $i > $o ).
thf(tp_v12_vectsp_1,type,
v12_vectsp_1: $i > $i > $o ).
thf(tp_v13_vectsp_1,type,
v13_vectsp_1: $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_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_finsub_1,type,
v1_finsub_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_funcsdom,type,
v1_funcsdom: $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_gr_cy_1,type,
v1_gr_cy_1: $i > $o ).
thf(tp_v1_group_1,type,
v1_group_1: $i > $o ).
thf(tp_v1_group_3,type,
v1_group_3: $i > $i > $o ).
thf(tp_v1_group_6,type,
v1_group_6: $i > $i > $i > $o ).
thf(tp_v1_int_1,type,
v1_int_1: $i > $o ).
thf(tp_v1_int_2,type,
v1_int_2: $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_realset1,type,
v1_realset1: $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_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_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_finseq_1,type,
v2_finseq_1: $i > $o ).
thf(tp_v2_finsub_1,type,
v2_finsub_1: $i > $o ).
thf(tp_v2_funcsdom,type,
v2_funcsdom: $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_group_6,type,
v2_group_6: $i > $i > $i > $o ).
thf(tp_v2_ordinal1,type,
v2_ordinal1: $i > $o ).
thf(tp_v2_ordinal2,type,
v2_ordinal2: $i > $o ).
thf(tp_v2_relat_1,type,
v2_relat_1: $i > $o ).
thf(tp_v2_relat_2,type,
v2_relat_2: $i > $o ).
thf(tp_v2_rlvect_1,type,
v2_rlvect_1: $i > $o ).
thf(tp_v2_struct_0,type,
v2_struct_0: $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_finsub_1,type,
v3_finsub_1: $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_group_6,type,
v3_group_6: $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_struct_0,type,
v3_struct_0: $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_finsub_1,type,
v4_finsub_1: $i > $o ).
thf(tp_v4_group_1,type,
v4_group_1: $i > $o ).
thf(tp_v4_group_6,type,
v4_group_6: $i > $i > $i > $o ).
thf(tp_v4_ordinal1,type,
v4_ordinal1: $i > $o ).
thf(tp_v4_ordinal2,type,
v4_ordinal2: $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_vectsp_1,type,
v4_vectsp_1: $i > $o ).
thf(tp_v5_group_1,type,
v5_group_1: $i > $i > $o ).
thf(tp_v5_ordinal1,type,
v5_ordinal1: $i > $o ).
thf(tp_v5_relat_2,type,
v5_relat_2: $i > $o ).
thf(tp_v5_rlvect_1,type,
v5_rlvect_1: $i > $o ).
thf(tp_v5_vectsp_1,type,
v5_vectsp_1: $i > $o ).
thf(tp_v6_group_1,type,
v6_group_1: $i > $o ).
thf(tp_v6_ordinal1,type,
v6_ordinal1: $i > $o ).
thf(tp_v6_relat_2,type,
v6_relat_2: $i > $o ).
thf(tp_v6_rlvect_1,type,
v6_rlvect_1: $i > $o ).
thf(tp_v6_vectsp_1,type,
v6_vectsp_1: $i > $o ).
thf(tp_v7_group_1,type,
v7_group_1: $i > $o ).
thf(tp_v7_relat_2,type,
v7_relat_2: $i > $o ).
thf(tp_v7_rlvect_1,type,
v7_rlvect_1: $i > $o ).
thf(tp_v7_vectsp_1,type,
v7_vectsp_1: $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_vectsp_1,type,
v8_vectsp_1: $i > $o ).
thf(tp_v9_vectsp_1,type,
v9_vectsp_1: $i > $o ).
thf(1,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v1_group_1 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ( ( k8_funct_2 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( k6_autgroup @ A @ ( k2_group_1 @ A ) ) @ B )
= B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t25_autgroup) ).
thf(2,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v1_group_1 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ( ( k6_autgroup @ A @ ( k2_group_1 @ A ) )
= ( k6_partfun1 @ ( u1_struct_0 @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_autgroup) ).
thf(3,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v1_group_1 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( k6_autgroup @ A @ ( k1_group_1 @ A @ B @ C ) )
= ( k7_funct_2 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( k6_autgroup @ A @ B ) @ ( k6_autgroup @ A @ C ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_autgroup) ).
thf(8,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_autgroup) ).
thf(30,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_autgroup) ).
thf(38,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v1_group_1 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ( ~ ( v3_struct_0 @ ( k3_autgroup @ A ) )
& ( v1_group_1 @ ( k3_autgroup @ A ) )
& ( v3_group_1 @ ( k3_autgroup @ A ) )
& ( v4_group_1 @ ( k3_autgroup @ A ) )
& ( l1_group_1 @ ( k3_autgroup @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_autgroup) ).
thf(69,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_gr_cy_2) ).
thf(71,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_gr_cy_2) ).
thf(72,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_gr_cy_2) ).
thf(73,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_gr_cy_2) ).
thf(74,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_gr_cy_2) ).
thf(75,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_gr_cy_2) ).
thf(92,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_group_6) ).
thf(99,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v1_group_1 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A )
& ~ ( v3_struct_0 @ B )
& ( v1_group_1 @ B )
& ( v3_group_1 @ B )
& ( v4_group_1 @ B )
& ( l1_group_1 @ B ) )
=> ( r2_group_6 @ A @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r2_group_6) ).
thf(100,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v1_group_1 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A )
& ~ ( v3_struct_0 @ B )
& ( v1_group_1 @ B )
& ( v3_group_1 @ B )
& ( v4_group_1 @ B )
& ( l1_group_1 @ B ) )
=> ( ( r2_group_6 @ A @ B )
=> ( r2_group_6 @ B @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_r2_group_6) ).
thf(101,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A )
& ~ ( v3_struct_0 @ B )
& ( v3_group_1 @ B )
& ( v4_group_1 @ B )
& ( l1_group_1 @ B ) )
=> ( r1_group_6 @ A @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_group_6) ).
thf(110,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t88_group_6) ).
thf(120,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( v3_group_1 @ B )
& ( v4_group_1 @ B )
& ( l1_group_1 @ B ) )
=> ! [C: $i] :
( ( ~ ( v3_struct_0 @ C )
& ( v3_group_1 @ C )
& ( v4_group_1 @ C )
& ( l1_group_1 @ C ) )
=> ( ( ( r1_group_6 @ A @ B )
& ( r1_group_6 @ B @ C ) )
=> ( r1_group_6 @ A @ C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t78_group_6) ).
thf(121,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v1_group_1 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( v1_group_1 @ B )
& ( v3_group_1 @ B )
& ( v4_group_1 @ B )
& ( l1_group_1 @ B ) )
=> ( ( r1_group_6 @ A @ B )
=> ( r1_group_6 @ B @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t77_group_6) ).
thf(122,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t76_group_6) ).
thf(166,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t39_group_6) ).
thf(167,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t38_group_6) ).
thf(168,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t37_group_6) ).
thf(186,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_group_6) ).
thf(187,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_group_6) ).
thf(188,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_group_6) ).
thf(206,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_group_6) ).
thf(232,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A )
& ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
& ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
& ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) ) )
=> ( m1_subset_1 @ ( k3_group_5 @ A @ B @ C @ D ) @ ( u1_struct_0 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_group_5) ).
thf(233,axiom,
! [A: $i,B: $i,C: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A )
& ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
& ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) ) )
=> ( m1_subset_1 @ ( k2_group_5 @ A @ B @ C ) @ ( u1_struct_0 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_group_5) ).
thf(241,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t88_group_5) ).
thf(242,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t87_group_5) ).
thf(248,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t81_group_5) ).
thf(259,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t71_group_5) ).
thf(264,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t67_group_5) ).
thf(268,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t64_group_5) ).
thf(276,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t57_group_5) ).
thf(283,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t51_group_5) ).
thf(290,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( k3_group_5 @ A @ B @ B @ C )
= ( k2_group_1 @ A ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t44_group_5) ).
thf(291,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( ( k3_group_5 @ A @ B @ C @ ( k2_group_1 @ A ) )
= ( k2_group_1 @ A ) )
& ( ( k3_group_5 @ A @ B @ ( k2_group_1 @ A ) @ C )
= ( k2_group_1 @ A ) )
& ( ( k3_group_5 @ A @ ( k2_group_1 @ A ) @ B @ C )
= ( k2_group_1 @ A ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t43_group_5) ).
thf(292,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t42_group_5) ).
thf(310,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( k3_group_1 @ A @ ( k2_group_5 @ A @ B @ C ) )
= ( k2_group_5 @ A @ C @ B ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t25_group_5) ).
thf(311,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ( ( ( k2_group_5 @ A @ B @ ( k3_group_1 @ A @ B ) )
= ( k2_group_1 @ A ) )
& ( ( k2_group_5 @ A @ ( k3_group_1 @ A @ B ) @ B )
= ( k2_group_1 @ A ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_group_5) ).
thf(312,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ( ( k2_group_5 @ A @ B @ B )
= ( k2_group_1 @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_group_5) ).
thf(313,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ( ( ( k2_group_5 @ A @ ( k2_group_1 @ A ) @ B )
= ( k2_group_1 @ A ) )
& ( ( k2_group_5 @ A @ B @ ( k2_group_1 @ A ) )
= ( k2_group_1 @ A ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_group_5) ).
thf(325,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_group_5) ).
thf(326,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_group_5) ).
thf(327,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_group_5) ).
thf(356,axiom,
! [A: $i,B: $i,C: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A )
& ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
& ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) ) )
=> ( m1_subset_1 @ ( k2_group_3 @ A @ B @ C ) @ ( u1_struct_0 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_group_3) ).
thf(357,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_group_3) ).
thf(365,axiom,
! [A: $i,B: $i,C: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A )
& ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
& ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) ) )
=> ( r2_group_3 @ A @ B @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r2_group_3) ).
thf(366,axiom,
! [A: $i,B: $i,C: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A )
& ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
& ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) ) )
=> ( ( r2_group_3 @ A @ B @ C )
=> ( r2_group_3 @ A @ C @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_r2_group_3) ).
thf(373,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t159_group_3) ).
thf(380,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t153_group_3) ).
thf(381,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t152_group_3) ).
thf(397,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t136_group_3) ).
thf(398,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t135_group_3) ).
thf(408,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t126_group_3) ).
thf(409,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t125_group_3) ).
thf(415,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t120_group_3) ).
thf(423,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t112_group_3) ).
thf(425,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t110_group_3) ).
thf(432,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t103_group_3) ).
thf(442,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t94_group_3) ).
thf(444,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ( ( ( r2_group_3 @ A @ B @ ( k2_group_1 @ A ) )
| ( r2_group_3 @ A @ ( k2_group_1 @ A ) @ B ) )
=> ( B
= ( k2_group_1 @ A ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t92_group_3) ).
thf(445,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ! [D: $i] :
( ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) )
=> ( ( ( r2_group_3 @ A @ B @ C )
& ( r2_group_3 @ A @ C @ D ) )
=> ( r2_group_3 @ A @ B @ D ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t91_group_3) ).
thf(446,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( r1_group_3 @ A @ B @ C )
=> ( r1_group_3 @ A @ C @ B ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t90_group_3) ).
thf(447,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ( r1_group_3 @ A @ B @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t89_group_3) ).
thf(449,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t87_group_3) ).
thf(462,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t75_group_3) ).
thf(468,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t69_group_3) ).
thf(469,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t68_group_3) ).
thf(474,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t64_group_3) ).
thf(489,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t49_group_3) ).
thf(490,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t48_group_3) ).
thf(503,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t37_group_3) ).
thf(508,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( k2_group_3 @ A @ ( k3_group_1 @ A @ B ) @ C )
= ( k3_group_1 @ A @ ( k2_group_3 @ A @ B @ C ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t32_group_3) ).
thf(509,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t31_group_3) ).
thf(510,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( ( k2_group_3 @ A @ ( k2_group_3 @ A @ B @ C ) @ ( k3_group_1 @ A @ C ) )
= B )
& ( ( k2_group_3 @ A @ ( k2_group_3 @ A @ B @ ( k3_group_1 @ A @ C ) ) @ C )
= B ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t30_group_3) ).
thf(514,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ( ( ( k2_group_3 @ A @ B @ ( k3_group_1 @ A @ B ) )
= B )
& ( ( k2_group_3 @ A @ ( k3_group_1 @ A @ B ) @ B )
= ( k3_group_1 @ A @ B ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t26_group_3) ).
thf(515,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ( ( k2_group_3 @ A @ B @ B )
= B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t25_group_3) ).
thf(516,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ( ( k2_group_3 @ A @ B @ ( k2_group_1 @ A ) )
= B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_group_3) ).
thf(517,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( ( k2_group_3 @ A @ B @ C )
= ( k2_group_1 @ A ) )
=> ( B
= ( k2_group_1 @ A ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_group_3) ).
thf(518,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ( ( k2_group_3 @ A @ ( k2_group_1 @ A ) @ B )
= ( k2_group_1 @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_group_3) ).
thf(519,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ! [D: $i] :
( ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) )
=> ( ( ( k2_group_3 @ A @ B @ C )
= ( k2_group_3 @ A @ D @ C ) )
=> ( B = D ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_group_3) ).
thf(524,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_group_3) ).
thf(525,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_group_3) ).
thf(541,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( ( k1_group_1 @ A @ ( k1_group_1 @ A @ B @ C ) @ ( k3_group_1 @ A @ C ) )
= B )
& ( ( k1_group_1 @ A @ ( k1_group_1 @ A @ B @ ( k3_group_1 @ A @ C ) ) @ C )
= B )
& ( ( k1_group_1 @ A @ ( k1_group_1 @ A @ ( k3_group_1 @ A @ C ) @ C ) @ B )
= B )
& ( ( k1_group_1 @ A @ ( k1_group_1 @ A @ C @ ( k3_group_1 @ A @ C ) ) @ B )
= B )
& ( ( k1_group_1 @ A @ B @ ( k1_group_1 @ A @ C @ ( k3_group_1 @ A @ C ) ) )
= B )
& ( ( k1_group_1 @ A @ B @ ( k1_group_1 @ A @ ( k3_group_1 @ A @ C ) @ C ) )
= B )
& ( ( k1_group_1 @ A @ ( k3_group_1 @ A @ C ) @ ( k1_group_1 @ A @ C @ B ) )
= B )
& ( ( k1_group_1 @ A @ C @ ( k1_group_1 @ A @ ( k3_group_1 @ A @ C ) @ B ) )
= B ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_group_3) ).
thf(577,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ? [B: $i] : ( m1_group_2 @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_group_2) ).
thf(578,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_group_2 @ B @ A )
=> ( ~ ( v3_struct_0 @ B )
& ( v3_group_1 @ B )
& ( l1_group_1 @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_group_2) ).
thf(600,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t163_group_2) ).
thf(601,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t162_group_2) ).
thf(602,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t161_group_2) ).
thf(603,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t160_group_2) ).
thf(604,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t159_group_2) ).
thf(605,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t158_group_2) ).
thf(606,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t157_group_2) ).
thf(634,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t131_group_2) ).
thf(641,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t124_group_2) ).
thf(642,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t123_group_2) ).
thf(654,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t113_group_2) ).
thf(655,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t112_group_2) ).
thf(673,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t96_group_2) ).
thf(674,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t95_group_2) ).
thf(684,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t86_group_2) ).
thf(697,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t74_group_2) ).
thf(698,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t73_group_2) ).
thf(699,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t72_group_2) ).
thf(703,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v1_group_1 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( ( v1_group_1 @ B )
& ( m1_group_2 @ B @ A ) )
=> ( ( ( u1_struct_0 @ B )
= ( u1_struct_0 @ A ) )
=> ( B = A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t70_group_2) ).
thf(709,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( v3_group_1 @ B )
& ( v4_group_1 @ B )
& ( l1_group_1 @ B ) )
=> ! [C: $i] :
( ( ~ ( v3_struct_0 @ C )
& ( v3_group_1 @ C )
& ( v4_group_1 @ C )
& ( l1_group_1 @ C ) )
=> ( ( ( m1_group_2 @ A @ B )
& ( m1_group_2 @ B @ C ) )
=> ( m1_group_2 @ A @ C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t65_group_2) ).
thf(711,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ( m1_group_2 @ A @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t63_group_2) ).
thf(717,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_group_2 @ C @ A )
=> ! [D: $i] :
( ( m1_subset_1 @ D @ ( u1_struct_0 @ C ) )
=> ( ( D = B )
=> ( ( k3_group_1 @ C @ D )
= ( k3_group_1 @ A @ B ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t57_group_2) ).
thf(720,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_group_2 @ B @ A )
=> ! [C: $i] :
( ( m1_group_2 @ C @ A )
=> ( ( k2_group_1 @ B )
= ( k2_group_1 @ C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t54_group_2) ).
thf(721,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_group_2 @ B @ A )
=> ( ( k2_group_1 @ B )
= ( k2_group_1 @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t53_group_2) ).
thf(723,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_group_2 @ B @ A )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ B ) )
=> ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t51_group_2) ).
thf(727,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t47_group_2) ).
thf(728,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t46_group_2) ).
thf(729,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t45_group_2) ).
thf(743,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t32_group_2) ).
thf(744,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t31_group_2) ).
thf(766,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_group_2) ).
thf(773,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_group_2) ).
thf(775,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_group_2) ).
thf(776,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_group_2) ).
thf(779,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_group_2 @ B @ A )
=> ( v4_group_1 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_group_2) ).
thf(805,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t48_funcsdom) ).
thf(806,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t47_funcsdom) ).
thf(807,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t46_funcsdom) ).
thf(808,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t45_funcsdom) ).
thf(811,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d18_funcsdom) ).
thf(812,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d17_funcsdom) ).
thf(813,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d16_funcsdom) ).
thf(814,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d15_funcsdom) ).
thf(815,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d14_funcsdom) ).
thf(816,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d13_funcsdom) ).
thf(820,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t40_funcsdom) ).
thf(821,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t39_funcsdom) ).
thf(822,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t38_funcsdom) ).
thf(824,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d11_funcsdom) ).
thf(825,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_funcsdom) ).
thf(826,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_funcsdom) ).
thf(827,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_funcsdom) ).
thf(829,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t36_funcsdom) ).
thf(830,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t35_funcsdom) ).
thf(857,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_funcsdom) ).
thf(858,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_funcsdom) ).
thf(859,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_funcsdom) ).
thf(860,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_funcsdom) ).
thf(861,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_funcsdom) ).
thf(862,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_funcsdom) ).
thf(863,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_funcsdom) ).
thf(864,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_funcsdom) ).
thf(865,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_funcsdom) ).
thf(875,axiom,
? [A: $i] :
( ( l1_funcsdom @ A )
& ~ ( v3_struct_0 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_funcsdom) ).
thf(908,axiom,
! [A: $i] :
( ( l1_vectsp_1 @ A )
=> ( l1_group_1 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_vectsp_1) ).
thf(912,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t91_vectsp_1) ).
thf(918,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t85_vectsp_1) ).
thf(920,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t83_vectsp_1) ).
thf(921,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t82_vectsp_1) ).
thf(923,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t80_vectsp_1) ).
thf(924,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t79_vectsp_1) ).
thf(927,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d27_vectsp_1) ).
thf(929,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t77_vectsp_1) ).
thf(930,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t76_vectsp_1) ).
thf(931,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t75_vectsp_1) ).
thf(934,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t72_vectsp_1) ).
thf(935,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t71_vectsp_1) ).
thf(944,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t62_vectsp_1) ).
thf(945,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t61_vectsp_1) ).
thf(948,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t58_vectsp_1) ).
thf(949,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t57_vectsp_1) ).
thf(950,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t56_vectsp_1) ).
thf(951,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t55_vectsp_1) ).
thf(952,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t54_vectsp_1) ).
thf(953,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t53_vectsp_1) ).
thf(954,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t52_vectsp_1) ).
thf(955,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t51_vectsp_1) ).
thf(956,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t50_vectsp_1) ).
thf(957,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t49_vectsp_1) ).
thf(958,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t48_vectsp_1) ).
thf(959,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t47_vectsp_1) ).
thf(960,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t46_vectsp_1) ).
thf(971,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t38_vectsp_1) ).
thf(972,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t37_vectsp_1) ).
thf(974,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t35_vectsp_1) ).
thf(975,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t34_vectsp_1) ).
thf(979,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t32_vectsp_1) ).
thf(980,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t31_vectsp_1) ).
thf(981,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t30_vectsp_1) ).
thf(982,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t29_vectsp_1) ).
thf(983,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t28_vectsp_1) ).
thf(984,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t27_vectsp_1) ).
thf(985,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t26_vectsp_1) ).
thf(986,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t25_vectsp_1) ).
thf(987,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_vectsp_1) ).
thf(988,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_vectsp_1) ).
thf(992,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_vectsp_1) ).
thf(993,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_vectsp_1) ).
thf(994,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_vectsp_1) ).
thf(995,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_vectsp_1) ).
thf(996,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_vectsp_1) ).
thf(997,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t14_vectsp_1) ).
thf(998,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_vectsp_1) ).
thf(999,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_vectsp_1) ).
thf(1000,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_vectsp_1) ).
thf(1001,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_vectsp_1) ).
thf(1002,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_vectsp_1) ).
thf(1003,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_vectsp_1) ).
thf(1008,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d17_vectsp_1) ).
thf(1009,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d16_vectsp_1) ).
thf(1011,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d14_vectsp_1) ).
thf(1015,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_vectsp_1) ).
thf(1017,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_vectsp_1) ).
thf(1018,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d7_vectsp_1) ).
thf(1021,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_vectsp_1) ).
thf(1022,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_vectsp_1) ).
thf(1023,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_vectsp_1) ).
thf(1024,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_vectsp_1) ).
thf(1025,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_vectsp_1) ).
thf(1027,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_vectsp_1) ).
thf(1028,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_vectsp_1) ).
thf(1029,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_vectsp_1) ).
thf(1030,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_vectsp_1) ).
thf(1031,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_vectsp_1) ).
thf(1041,axiom,
? [A: $i] :
( ( l1_group_1 @ A )
& ~ ( v3_struct_0 @ A )
& ( v4_group_1 @ A )
& ( v7_group_1 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc8_vectsp_1) ).
thf(1070,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A )
& ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) ) )
=> ( m1_subset_1 @ ( k3_group_1 @ A @ B ) @ ( u1_struct_0 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_group_1) ).
thf(1071,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_group_1 @ A ) )
=> ( m1_subset_1 @ ( k2_group_1 @ A ) @ ( u1_struct_0 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_group_1) ).
thf(1072,axiom,
! [A: $i,B: $i,C: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_group_1 @ A )
& ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
& ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) ) )
=> ( m1_subset_1 @ ( k1_group_1 @ A @ B @ C ) @ ( u1_struct_0 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_group_1) ).
thf(1074,axiom,
? [A: $i] : ( l1_group_1 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l1_group_1) ).
thf(1075,axiom,
! [A: $i] :
( ( l1_group_1 @ A )
=> ( l1_struct_0 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_group_1) ).
thf(1080,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t93_group_1) ).
thf(1082,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t91_group_1) ).
thf(1085,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t89_group_1) ).
thf(1086,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t88_group_1) ).
thf(1087,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t87_group_1) ).
thf(1094,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t83_group_1) ).
thf(1096,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t81_group_1) ).
thf(1097,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t80_group_1) ).
thf(1099,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ~ ( v5_group_1 @ ( k2_group_1 @ A ) @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t79_group_1) ).
thf(1100,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t78_group_1) ).
thf(1103,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t76_group_1) ).
thf(1121,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t58_group_1) ).
thf(1122,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t57_group_1) ).
thf(1138,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t41_group_1) ).
thf(1139,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t40_group_1) ).
thf(1140,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t39_group_1) ).
thf(1141,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t38_group_1) ).
thf(1152,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t30_group_1) ).
thf(1153,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t29_group_1) ).
thf(1155,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( ( k1_group_1 @ A @ B @ C )
= ( k1_group_1 @ A @ C @ B ) )
<=> ( ( k1_group_1 @ A @ B @ ( k3_group_1 @ A @ C ) )
= ( k1_group_1 @ A @ ( k3_group_1 @ A @ C ) @ B ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t28_group_1) ).
thf(1156,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( ( k1_group_1 @ A @ B @ C )
= ( k1_group_1 @ A @ C @ B ) )
<=> ( ( k1_group_1 @ A @ ( k3_group_1 @ A @ B ) @ ( k3_group_1 @ A @ C ) )
= ( k1_group_1 @ A @ ( k3_group_1 @ A @ C ) @ ( k3_group_1 @ A @ B ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t27_group_1) ).
thf(1157,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( ( k1_group_1 @ A @ B @ C )
= ( k1_group_1 @ A @ C @ B ) )
<=> ( ( k3_group_1 @ A @ ( k1_group_1 @ A @ B @ C ) )
= ( k1_group_1 @ A @ ( k3_group_1 @ A @ B ) @ ( k3_group_1 @ A @ C ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t26_group_1) ).
thf(1158,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( k3_group_1 @ A @ ( k1_group_1 @ A @ B @ C ) )
= ( k1_group_1 @ A @ ( k3_group_1 @ A @ C ) @ ( k3_group_1 @ A @ B ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t25_group_1) ).
thf(1159,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ? [D: $i] :
( ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) )
& ( ( k1_group_1 @ A @ D @ B )
= C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_group_1) ).
thf(1160,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ? [D: $i] :
( ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) )
& ( ( k1_group_1 @ A @ B @ D )
= C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_group_1) ).
thf(1161,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ! [D: $i] :
( ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) )
=> ( ( ( k1_group_1 @ A @ B @ C )
= D )
<=> ( B
= ( k1_group_1 @ A @ D @ ( k3_group_1 @ A @ C ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_group_1) ).
thf(1162,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ! [D: $i] :
( ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) )
=> ( ( ( k1_group_1 @ A @ B @ C )
= D )
<=> ( C
= ( k1_group_1 @ A @ ( k3_group_1 @ A @ B ) @ D ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_group_1) ).
thf(1163,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( ( ( k1_group_1 @ A @ B @ C )
= ( k2_group_1 @ A ) )
| ( ( k1_group_1 @ A @ C @ B )
= ( k2_group_1 @ A ) ) )
=> ( ( B
= ( k3_group_1 @ A @ C ) )
& ( C
= ( k3_group_1 @ A @ B ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_group_1) ).
thf(1164,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ( ( k3_group_1 @ A @ ( k3_group_1 @ A @ B ) )
= B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_group_1) ).
thf(1165,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ( ( ( k3_group_1 @ A @ B )
= ( k2_group_1 @ A ) )
=> ( B
= ( k2_group_1 @ A ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_group_1) ).
thf(1166,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( ( k3_group_1 @ A @ B )
= ( k3_group_1 @ A @ C ) )
=> ( B = C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_group_1) ).
thf(1167,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ( ( k3_group_1 @ A @ ( k2_group_1 @ A ) )
= ( k2_group_1 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_group_1) ).
thf(1168,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( ( ( k1_group_1 @ A @ B @ C )
= B )
| ( ( k1_group_1 @ A @ C @ B )
= B ) )
=> ( C
= ( k2_group_1 @ A ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_group_1) ).
thf(1169,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ! [D: $i] :
( ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) )
=> ( ( ( ( k1_group_1 @ A @ B @ C )
= ( k1_group_1 @ A @ B @ D ) )
| ( ( k1_group_1 @ A @ C @ B )
= ( k1_group_1 @ A @ D @ B ) ) )
=> ( C = D ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t14_group_1) ).
thf(1170,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_group_1) ).
thf(1171,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( ( ( k1_group_1 @ A @ B @ C )
= ( k2_group_1 @ A ) )
& ( ( k1_group_1 @ A @ C @ B )
= ( k2_group_1 @ A ) ) )
=> ( C
= ( k3_group_1 @ A @ B ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_group_1) ).
thf(1172,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_group_1) ).
thf(1173,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( C
= ( k3_group_1 @ A @ B ) )
<=> ( ( ( k1_group_1 @ A @ B @ C )
= ( k2_group_1 @ A ) )
& ( ( k1_group_1 @ A @ C @ B )
= ( k2_group_1 @ A ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d6_group_1) ).
thf(1174,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ( ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( ( k1_group_1 @ A @ C @ B )
= C )
& ( ( k1_group_1 @ A @ B @ C )
= C ) ) )
=> ( B
= ( k2_group_1 @ A ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_group_1) ).
thf(1175,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_group_1) ).
thf(1176,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_group_1) ).
thf(1179,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_group_1 @ A ) )
=> ( ( ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ! [D: $i] :
( ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) )
=> ( ( k1_group_1 @ A @ ( k1_group_1 @ A @ B @ C ) @ D )
= ( k1_group_1 @ A @ B @ ( k1_group_1 @ A @ C @ D ) ) ) ) ) )
& ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ? [D: $i] :
( ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) )
& ( ( k1_group_1 @ A @ B @ D )
= C ) )
& ? [D: $i] :
( ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) )
& ( ( k1_group_1 @ A @ D @ B )
= C ) ) ) ) ) )
=> ( ( v4_group_1 @ A )
& ( v3_group_1 @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_group_1) ).
thf(1180,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_group_1 @ A ) )
=> ( ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ! [D: $i] :
( ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) )
=> ( ( k1_group_1 @ A @ ( k1_group_1 @ A @ B @ C ) @ D )
= ( k1_group_1 @ A @ B @ ( k1_group_1 @ A @ C @ D ) ) ) ) ) )
=> ( ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ~ ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( ( k1_group_1 @ A @ C @ B )
= C )
& ( ( k1_group_1 @ A @ B @ C )
= C )
& ? [D: $i] :
( ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) )
& ( ( k1_group_1 @ A @ C @ D )
= B )
& ( ( k1_group_1 @ A @ D @ C )
= B ) ) ) ) )
| ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_group_1) ).
thf(1181,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_group_1) ).
thf(1182,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_group_1) ).
thf(1183,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_group_1) ).
thf(1184,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_group_1) ).
thf(1185,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_group_1 @ A ) )
=> ( ( v4_group_1 @ A )
<=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ! [D: $i] :
( ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) )
=> ( ( k1_group_1 @ A @ ( k1_group_1 @ A @ B @ C ) @ D )
= ( k1_group_1 @ A @ B @ ( k1_group_1 @ A @ C @ D ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_group_1) ).
thf(1186,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_group_1 @ A ) )
=> ( ( v3_group_1 @ A )
<=> ? [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
& ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( ( k1_group_1 @ A @ C @ B )
= C )
& ( ( k1_group_1 @ A @ B @ C )
= C )
& ? [D: $i] :
( ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) )
& ( ( k1_group_1 @ A @ C @ D )
= B )
& ( ( k1_group_1 @ A @ D @ C )
= B ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_group_1) ).
thf(1191,axiom,
? [A: $i] :
( ( l1_group_1 @ A )
& ~ ( v3_struct_0 @ A )
& ( v1_group_1 @ A )
& ( v2_group_1 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_group_1) ).
thf(1192,axiom,
! [A: $i] :
( ( l1_group_1 @ A )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v2_group_1 @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_group_1) ).
thf(1194,axiom,
? [A: $i] :
( ( l1_group_1 @ A )
& ~ ( v3_struct_0 @ A )
& ( v1_group_1 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_group_1) ).
thf(1195,axiom,
? [A: $i] :
( ( l1_group_1 @ A )
& ( v1_group_1 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_group_1) ).
thf(1231,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t88_rlvect_1) ).
thf(1254,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t65_rlvect_1) ).
thf(1266,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t53_rlvect_1) ).
thf(1267,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t52_rlvect_1) ).
thf(1288,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t32_rlvect_1) ).
thf(1302,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_rlvect_1) ).
thf(1303,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_rlvect_1) ).
thf(1305,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_rlvect_1) ).
thf(1306,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t14_rlvect_1) ).
thf(1307,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_rlvect_1) ).
thf(1308,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_rlvect_1) ).
thf(1309,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_rlvect_1) ).
thf(1313,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_rlvect_1) ).
thf(1314,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_rlvect_1) ).
thf(1316,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_rlvect_1) ).
thf(1323,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_rlvect_1) ).
thf(1328,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_rlvect_1) ).
thf(1329,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_rlvect_1) ).
thf(1335,axiom,
? [A: $i] :
( ( l2_rlvect_1 @ A )
& ~ ( v3_struct_0 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_rlvect_1) ).
thf(1338,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/sandbox2/benchmark/theBenchmark.p',free_g2_struct_0) ).
thf(1343,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u1_struct_0) ).
thf(1354,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_struct_0) ).
thf(1361,axiom,
? [A: $i] :
( ( l2_struct_0 @ A )
& ~ ( v3_struct_0 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc4_struct_0) ).
thf(1362,axiom,
? [A: $i] :
( ( l1_struct_0 @ A )
& ~ ( v3_struct_0 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_struct_0) ).
thf(1371,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_realset1) ).
thf(1373,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m4_realset1) ).
thf(1374,axiom,
! [A: $i,B: $i] :
( ( m1_subset_1 @ B @ A )
=> ? [C: $i] : ( m3_realset1 @ C @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m3_realset1) ).
thf(1419,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k13_finseq_1) ).
thf(1422,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k11_finseq_1) ).
thf(1423,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k10_finseq_1) ).
thf(1430,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_finseq_1) ).
thf(1437,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_finseq_1) ).
thf(1467,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t70_finseq_1) ).
thf(1471,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t67_finseq_1) ).
thf(1486,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t54_finseq_1) ).
thf(1487,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t53_finseq_1) ).
thf(1489,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t51_finseq_1) ).
thf(1493,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t49_finseq_1) ).
thf(1509,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t34_finseq_1) ).
thf(1513,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t31_finseq_1) ).
thf(1514,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t30_finseq_1) ).
thf(1518,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t28_finseq_1) ).
thf(1524,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_finseq_1) ).
thf(1534,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_finseq_1) ).
thf(1547,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_finseq_1) ).
thf(1548,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_finseq_1) ).
thf(1578,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_card_1) ).
thf(1592,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t77_card_1) ).
thf(1594,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_card_1) ).
thf(1595,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_card_1) ).
thf(1597,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t75_card_1) ).
thf(1602,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t70_card_1) ).
thf(1605,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t67_card_1) ).
thf(1609,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t63_card_1) ).
thf(1610,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t62_card_1) ).
thf(1615,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t57_card_1) ).
thf(1617,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t55_card_1) ).
thf(1618,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t54_card_1) ).
thf(1619,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t53_card_1) ).
thf(1635,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t37_card_1) ).
thf(1643,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t31_card_1) ).
thf(1655,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_card_1) ).
thf(1656,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_card_1) ).
thf(1657,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_card_1) ).
thf(1658,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_card_1) ).
thf(1659,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_card_1) ).
thf(1660,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_card_1) ).
thf(1662,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_card_1) ).
thf(1663,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_card_1) ).
thf(1664,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_card_1) ).
thf(1667,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_card_1) ).
thf(1668,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_card_1) ).
thf(1669,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_card_1) ).
thf(1670,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_card_1) ).
thf(1672,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_card_1) ).
thf(1673,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_card_1) ).
thf(1674,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_card_1) ).
thf(1676,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_card_1) ).
thf(1677,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_card_1) ).
thf(1678,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_card_1) ).
thf(1691,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_int_1) ).
thf(1710,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t73_int_1) ).
thf(1719,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t67_int_1) ).
thf(1731,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t56_int_1) ).
thf(1734,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t53_int_1) ).
thf(1739,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t49_int_1) ).
thf(1742,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t46_int_1) ).
thf(1758,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t31_int_1) ).
thf(1759,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t30_int_1) ).
thf(1760,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t29_int_1) ).
thf(1761,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t28_int_1) ).
thf(1762,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t27_int_1) ).
thf(1763,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t26_int_1) ).
thf(1764,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t25_int_1) ).
thf(1765,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_int_1) ).
thf(1775,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_int_1) ).
thf(1776,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t14_int_1) ).
thf(1777,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_int_1) ).
thf(1778,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_int_1) ).
thf(1779,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_int_1) ).
thf(1780,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_int_1) ).
thf(1781,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_int_1) ).
thf(1784,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_int_1) ).
thf(1785,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_int_1) ).
thf(1786,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_int_1) ).
thf(1787,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_int_1) ).
thf(1788,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_int_1) ).
thf(1789,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_int_1) ).
thf(1860,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_numbers) ).
thf(1861,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_numbers) ).
thf(1862,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_numbers) ).
thf(1863,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_numbers) ).
thf(1980,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_fraenkel) ).
thf(1981,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_fraenkel) ).
thf(1984,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_fraenkel) ).
thf(1987,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_fraenkel) ).
thf(1991,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_fraenkel) ).
thf(1993,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_fraenkel) ).
thf(1994,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_fraenkel) ).
thf(2014,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t33_finsub_1) ).
thf(2016,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t31_finsub_1) ).
thf(2018,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t29_finsub_1) ).
thf(2025,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_finsub_1) ).
thf(2029,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_finsub_1) ).
thf(2036,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_finsub_1) ).
thf(2037,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_finsub_1) ).
thf(2039,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_finsub_1) ).
thf(2040,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_finsub_1) ).
thf(2041,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_finsub_1) ).
thf(2042,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_finsub_1) ).
thf(2043,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_finsub_1) ).
thf(2044,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_finsub_1) ).
thf(2045,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_finsub_1) ).
thf(2046,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_finsub_1) ).
thf(2047,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_finsub_1) ).
thf(2079,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_finset_1) ).
thf(2080,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_finset_1) ).
thf(2081,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_finset_1) ).
thf(2082,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_finset_1) ).
thf(2083,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_finset_1) ).
thf(2084,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_finset_1) ).
thf(2085,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_finset_1) ).
thf(2086,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_finset_1) ).
thf(2087,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_finset_1) ).
thf(2088,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_finset_1) ).
thf(2089,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_finset_1) ).
thf(2090,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_finset_1) ).
thf(2126,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_ordinal2) ).
thf(2128,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_ordinal2) ).
thf(2129,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_ordinal2) ).
thf(2130,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_ordinal2) ).
thf(2148,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t64_ordinal2) ).
thf(2170,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t43_ordinal2) ).
thf(2171,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t42_ordinal2) ).
thf(2172,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t41_ordinal2) ).
thf(2173,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t40_ordinal2) ).
thf(2174,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t39_ordinal2) ).
thf(2175,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t38_ordinal2) ).
thf(2176,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t37_ordinal2) ).
thf(2177,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t36_ordinal2) ).
thf(2192,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t33_ordinal2) ).
thf(2205,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_ordinal2) ).
thf(2206,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_ordinal2) ).
thf(2208,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_ordinal2) ).
thf(2218,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_ordinal2) ).
thf(2222,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_ordinal2) ).
thf(2226,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_ordinal2) ).
thf(2251,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_funcop_1) ).
thf(2252,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_funcop_1) ).
thf(2253,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_funcop_1) ).
thf(2254,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_funcop_1) ).
thf(2274,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t68_funcop_1) ).
thf(2280,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t62_funcop_1) ).
thf(2292,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t50_funcop_1) ).
thf(2302,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t40_funcop_1) ).
thf(2310,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t33_funcop_1) ).
thf(2333,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_funcop_1) ).
thf(2338,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_funcop_1) ).
thf(2341,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_funcop_1) ).
thf(2360,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_binop_1) ).
thf(2378,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_binop_1) ).
thf(2379,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_binop_1) ).
thf(2380,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_binop_1) ).
thf(2381,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_binop_1) ).
thf(2394,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_binop_1) ).
thf(2395,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_binop_1) ).
thf(2396,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_binop_1) ).
thf(2397,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_binop_1) ).
thf(2398,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_binop_1) ).
thf(2399,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_binop_1) ).
thf(2400,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_binop_1) ).
thf(2401,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_binop_1) ).
thf(2409,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_binop_1) ).
thf(2427,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_funct_2) ).
thf(2449,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t163_funct_2) ).
thf(2455,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t157_funct_2) ).
thf(2459,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t153_funct_2) ).
thf(2462,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t150_funct_2) ).
thf(2465,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t147_funct_2) ).
thf(2468,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t144_funct_2) ).
thf(2472,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t140_funct_2) ).
thf(2473,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t139_funct_2) ).
thf(2474,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t138_funct_2) ).
thf(2475,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t137_funct_2) ).
thf(2477,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t135_funct_2) ).
thf(2483,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t129_funct_2) ).
thf(2484,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t128_funct_2) ).
thf(2485,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t127_funct_2) ).
thf(2486,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t126_funct_2) ).
thf(2487,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t125_funct_2) ).
thf(2488,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t124_funct_2) ).
thf(2489,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t123_funct_2) ).
thf(2490,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t122_funct_2) ).
thf(2495,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t117_funct_2) ).
thf(2498,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t114_funct_2) ).
thf(2500,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t112_funct_2) ).
thf(2501,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t111_funct_2) ).
thf(2502,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t110_funct_2) ).
thf(2503,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t109_funct_2) ).
thf(2504,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t108_funct_2) ).
thf(2505,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t107_funct_2) ).
thf(2506,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t106_funct_2) ).
thf(2507,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t105_funct_2) ).
thf(2508,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t104_funct_2) ).
thf(2509,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t103_funct_2) ).
thf(2510,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t102_funct_2) ).
thf(2511,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t101_funct_2) ).
thf(2512,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t100_funct_2) ).
thf(2513,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t99_funct_2) ).
thf(2514,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t98_funct_2) ).
thf(2515,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t97_funct_2) ).
thf(2516,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t96_funct_2) ).
thf(2517,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t95_funct_2) ).
thf(2518,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t94_funct_2) ).
thf(2519,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t93_funct_2) ).
thf(2521,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t91_funct_2) ).
thf(2522,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t90_funct_2) ).
thf(2523,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t89_funct_2) ).
thf(2528,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t84_funct_2) ).
thf(2533,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t81_funct_2) ).
thf(2534,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t80_funct_2) ).
thf(2536,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t78_funct_2) ).
thf(2542,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t72_funct_2) ).
thf(2543,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t71_funct_2) ).
thf(2545,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t69_funct_2) ).
thf(2546,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t68_funct_2) ).
thf(2551,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t63_funct_2) ).
thf(2556,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t58_funct_2) ).
thf(2557,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t57_funct_2) ).
thf(2558,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t56_funct_2) ).
thf(2560,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t54_funct_2) ).
thf(2562,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t52_funct_2) ).
thf(2572,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t42_funct_2) ).
thf(2575,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t39_funct_2) ).
thf(2581,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t33_funct_2) ).
thf(2599,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_funct_2) ).
thf(2601,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_funct_2) ).
thf(2604,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_funct_2) ).
thf(2613,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_funct_2) ).
thf(2614,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_funct_2) ).
thf(2628,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_partfun1) ).
thf(2629,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_partfun1) ).
thf(2644,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t184_partfun1) ).
thf(2645,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t183_partfun1) ).
thf(2646,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t182_partfun1) ).
thf(2647,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t181_partfun1) ).
thf(2648,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t180_partfun1) ).
thf(2649,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t179_partfun1) ).
thf(2650,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t178_partfun1) ).
thf(2651,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t177_partfun1) ).
thf(2655,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t173_partfun1) ).
thf(2658,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t170_partfun1) ).
thf(2661,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t167_partfun1) ).
thf(2662,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t166_partfun1) ).
thf(2663,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t165_partfun1) ).
thf(2664,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t164_partfun1) ).
thf(2665,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t163_partfun1) ).
thf(2668,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t161_partfun1) ).
thf(2669,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t160_partfun1) ).
thf(2670,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t159_partfun1) ).
thf(2672,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t157_partfun1) ).
thf(2673,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t156_partfun1) ).
thf(2674,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t155_partfun1) ).
thf(2675,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t154_partfun1) ).
thf(2676,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t153_partfun1) ).
thf(2677,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t152_partfun1) ).
thf(2678,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t151_partfun1) ).
thf(2679,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t150_partfun1) ).
thf(2680,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t149_partfun1) ).
thf(2692,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t137_partfun1) ).
thf(2695,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t134_partfun1) ).
thf(2696,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t133_partfun1) ).
thf(2700,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t129_partfun1) ).
thf(2706,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t124_partfun1) ).
thf(2712,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t118_partfun1) ).
thf(2720,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t111_partfun1) ).
thf(2721,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t110_partfun1) ).
thf(2722,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t109_partfun1) ).
thf(2723,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t108_partfun1) ).
thf(2724,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t107_partfun1) ).
thf(2725,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t106_partfun1) ).
thf(2726,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t105_partfun1) ).
thf(2727,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t104_partfun1) ).
thf(2728,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t103_partfun1) ).
thf(2729,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t102_partfun1) ).
thf(2730,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t101_partfun1) ).
thf(2731,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t100_partfun1) ).
thf(2733,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t98_partfun1) ).
thf(2742,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t90_partfun1) ).
thf(2743,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t89_partfun1) ).
thf(2744,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t88_partfun1) ).
thf(2757,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t75_partfun1) ).
thf(2759,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_partfun1) ).
thf(2760,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_partfun1) ).
thf(2783,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t52_partfun1) ).
thf(2785,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t50_partfun1) ).
thf(2787,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t48_partfun1) ).
thf(2793,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t42_partfun1) ).
thf(2794,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t41_partfun1) ).
thf(2795,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t40_partfun1) ).
thf(2812,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_partfun1) ).
thf(2813,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_partfun1) ).
thf(2814,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_partfun1) ).
thf(2815,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_partfun1) ).
thf(2816,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_partfun1) ).
thf(2817,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_partfun1) ).
thf(2818,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_partfun1) ).
thf(2819,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_partfun1) ).
thf(2820,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_partfun1) ).
thf(2821,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t14_partfun1) ).
thf(2822,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_partfun1) ).
thf(2823,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_partfun1) ).
thf(2824,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_partfun1) ).
thf(2826,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_partfun1) ).
thf(2827,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_partfun1) ).
thf(2828,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_partfun1) ).
thf(2829,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_partfun1) ).
thf(2830,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_partfun1) ).
thf(2831,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_partfun1) ).
thf(2872,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_relset_1) ).
thf(2884,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t44_relset_1) ).
thf(2885,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t43_relset_1) ).
thf(2886,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t42_relset_1) ).
thf(2887,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t41_relset_1) ).
thf(2888,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t40_relset_1) ).
thf(2891,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t37_relset_1) ).
thf(2907,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_relset_1) ).
thf(2908,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_relset_1) ).
thf(2910,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_relset_1) ).
thf(2921,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_relset_1) ).
thf(2923,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_relset_1) ).
thf(2925,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_relset_1) ).
thf(2926,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_relset_1) ).
thf(2927,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_relset_1) ).
thf(2932,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_ordinal1) ).
thf(2950,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t44_ordinal1) ).
thf(2951,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t43_ordinal1) ).
thf(2956,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t40_ordinal1) ).
thf(2958,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_ordinal1) ).
thf(2970,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t28_ordinal1) ).
thf(2978,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_ordinal1) ).
thf(2980,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_ordinal1) ).
thf(2981,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_ordinal1) ).
thf(2982,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_ordinal1) ).
thf(2983,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_ordinal1) ).
thf(2990,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_ordinal1) ).
thf(2992,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_ordinal1) ).
thf(2993,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_ordinal1) ).
thf(3000,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_ordinal1) ).
thf(3001,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_ordinal1) ).
thf(3040,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_relat_2) ).
thf(3045,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_relat_2) ).
thf(3046,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_relat_2) ).
thf(3047,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t14_relat_2) ).
thf(3048,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_relat_2) ).
thf(3049,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_relat_2) ).
thf(3050,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_relat_2) ).
thf(3051,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_relat_2) ).
thf(3052,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_relat_2) ).
thf(3053,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_relat_2) ).
thf(3054,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_relat_2) ).
thf(3055,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_relat_2) ).
thf(3056,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_relat_2) ).
thf(3057,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_relat_2) ).
thf(3058,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_relat_2) ).
thf(3059,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_relat_2) ).
thf(3060,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_relat_2) ).
thf(3078,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_funct_1) ).
thf(3106,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t141_funct_1) ).
thf(3107,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t140_funct_1) ).
thf(3111,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t136_funct_1) ).
thf(3112,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t135_funct_1) ).
thf(3113,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t134_funct_1) ).
thf(3114,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t133_funct_1) ).
thf(3115,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t132_funct_1) ).
thf(3116,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t131_funct_1) ).
thf(3117,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t130_funct_1) ).
thf(3118,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t129_funct_1) ).
thf(3119,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t128_funct_1) ).
thf(3120,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t127_funct_1) ).
thf(3129,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t119_funct_1) ).
thf(3132,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t116_funct_1) ).
thf(3133,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t115_funct_1) ).
thf(3134,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t114_funct_1) ).
thf(3135,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t113_funct_1) ).
thf(3136,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t112_funct_1) ).
thf(3137,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t111_funct_1) ).
thf(3138,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t110_funct_1) ).
thf(3139,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t109_funct_1) ).
thf(3140,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t108_funct_1) ).
thf(3141,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t107_funct_1) ).
thf(3142,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t106_funct_1) ).
thf(3143,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t105_funct_1) ).
thf(3144,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t104_funct_1) ).
thf(3145,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t103_funct_1) ).
thf(3146,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t102_funct_1) ).
thf(3147,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t101_funct_1) ).
thf(3148,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t100_funct_1) ).
thf(3150,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d11_funct_1) ).
thf(3151,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_funct_1) ).
thf(3153,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t98_funct_1) ).
thf(3155,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t96_funct_1) ).
thf(3156,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t95_funct_1) ).
thf(3157,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t94_funct_1) ).
thf(3158,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t93_funct_1) ).
thf(3159,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t92_funct_1) ).
thf(3160,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t91_funct_1) ).
thf(3161,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t90_funct_1) ).
thf(3163,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t88_funct_1) ).
thf(3168,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t83_funct_1) ).
thf(3170,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t81_funct_1) ).
thf(3171,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t80_funct_1) ).
thf(3172,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t79_funct_1) ).
thf(3173,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t78_funct_1) ).
thf(3174,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t77_funct_1) ).
thf(3176,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t75_funct_1) ).
thf(3177,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t74_funct_1) ).
thf(3182,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t69_funct_1) ).
thf(3207,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t45_funct_1) ).
thf(3209,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d7_funct_1) ).
thf(3210,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d6_funct_1) ).
thf(3214,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t41_funct_1) ).
thf(3216,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t39_funct_1) ).
thf(3219,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t36_funct_1) ).
thf(3223,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t32_funct_1) ).
thf(3224,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t31_funct_1) ).
thf(3225,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t30_funct_1) ).
thf(3226,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t29_funct_1) ).
thf(3227,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t28_funct_1) ).
thf(3229,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t26_funct_1) ).
thf(3231,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_funct_1) ).
thf(3242,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_funct_1) ).
thf(3244,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_funct_1) ).
thf(3245,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_funct_1) ).
thf(3249,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_funct_1) ).
thf(3250,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_funct_1) ).
thf(3251,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_funct_1) ).
thf(3252,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_funct_1) ).
thf(3253,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_funct_1) ).
thf(3255,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_funct_1) ).
thf(3256,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_funct_1) ).
thf(3258,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_funct_1) ).
thf(3273,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k10_relat_1) ).
thf(3274,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k9_relat_1) ).
thf(3281,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_relat_1) ).
thf(3282,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_relat_1) ).
thf(3283,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_relat_1) ).
thf(3311,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t165_relat_1) ).
thf(3312,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t164_relat_1) ).
thf(3315,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t162_relat_1) ).
thf(3335,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t142_relat_1) ).
thf(3336,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t141_relat_1) ).
thf(3364,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t114_relat_1) ).
thf(3365,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t113_relat_1) ).
thf(3394,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t85_relat_1) ).
thf(3395,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t84_relat_1) ).
thf(3396,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t83_relat_1) ).
thf(3410,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t70_relat_1) ).
thf(3411,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t69_relat_1) ).
thf(3412,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t68_relat_1) ).
thf(3419,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t63_relat_1) ).
thf(3421,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t61_relat_1) ).
thf(3423,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t59_relat_1) ).
thf(3424,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t58_relat_1) ).
thf(3425,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t57_relat_1) ).
thf(3439,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t43_relat_1) ).
thf(3440,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t42_relat_1) ).
thf(3447,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t36_relat_1) ).
thf(3448,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t35_relat_1) ).
thf(3468,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_relat_1) ).
thf(3469,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_relat_1) ).
thf(3474,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_relat_1) ).
thf(3475,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_relat_1) ).
thf(3479,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_relat_1) ).
thf(3480,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_relat_1) ).
thf(3487,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_relat_1) ).
thf(3488,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_relat_1) ).
thf(3511,axiom,
! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ( m1_subset_1 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
thf(3512,axiom,
! [A: $i] : ( m1_subset_1 @ ( k8_subset_1 @ A ) @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_subset_1) ).
thf(3539,axiom,
! [A: $i] :
? [B: $i] : ( m1_subset_1 @ B @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
thf(3540,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_subset_1) ).
thf(3545,axiom,
! [A: $i] :
( ~ $true
=> ! [B: $i] :
( ( m1_subset_1 @ B @ A )
=> ( B
= ( k8_subset_1 @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d6_subset_1) ).
thf(3564,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t45_subset_1) ).
thf(3572,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t37_subset_1) ).
thf(3582,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t27_subset_1) ).
thf(3585,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_subset_1) ).
thf(3586,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_subset_1) ).
thf(3589,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_subset_1) ).
thf(3590,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_subset_1) ).
thf(3595,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t14_subset_1) ).
thf(3596,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_subset_1) ).
thf(3597,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_subset_1) ).
thf(3598,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_subset_1) ).
thf(3601,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_subset_1) ).
thf(3604,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_subset_1) ).
thf(3605,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_subset_1) ).
thf(3607,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset_1) ).
thf(3608,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset_1) ).
thf(3609,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset_1) ).
thf(3613,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_subset_1) ).
thf(3622,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_zfmisc_1) ).
thf(3623,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_zfmisc_1) ).
thf(3624,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_zfmisc_1) ).
thf(3625,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_zfmisc_1) ).
thf(3634,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t133_zfmisc_1) ).
thf(3676,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t91_zfmisc_1) ).
thf(3677,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t90_zfmisc_1) ).
thf(3678,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t89_zfmisc_1) ).
thf(3679,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t88_zfmisc_1) ).
thf(3680,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t87_zfmisc_1) ).
thf(3682,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t85_zfmisc_1) ).
thf(3689,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t78_zfmisc_1) ).
thf(3690,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t77_zfmisc_1) ).
thf(3691,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t76_zfmisc_1) ).
thf(3696,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t71_zfmisc_1) ).
thf(3705,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t62_zfmisc_1) ).
thf(3706,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t61_zfmisc_1) ).
thf(3752,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_zfmisc_1) ).
thf(3756,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_zfmisc_1) ).
thf(3760,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_zfmisc_1) ).
thf(3762,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_zfmisc_1) ).
thf(3763,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_zfmisc_1) ).
thf(3764,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_zfmisc_1) ).
thf(3781,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_xboole_0) ).
thf(3782,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_xboole_0) ).
thf(3785,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_xboole_0) ).
thf(3788,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_xboole_0) ).
thf(3789,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_xboole_0) ).
thf(3818,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_tarski) ).
thf(3819,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_tarski) ).
thf(3821,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_tarski) ).
thf(3822,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_tarski) ).
thf(3827,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_tarski) ).
thf(3830,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_tarski) ).
thf(3831,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_tarski) ).
thf(3834,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_tarski) ).
thf(3835,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_tarski) ).
thf(3839,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_tarski) ).
thf(3841,conjecture,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v1_group_1 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ( ( k7_funct_2 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( k6_autgroup @ A @ ( k3_group_1 @ A @ B ) ) @ ( k6_autgroup @ A @ B ) )
= ( k6_autgroup @ A @ ( k2_group_1 @ A ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t26_autgroup) ).
thf(3842,negated_conjecture,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v1_group_1 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ( ( k7_funct_2 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( k6_autgroup @ A @ ( k3_group_1 @ A @ B ) ) @ ( k6_autgroup @ A @ B ) )
= ( k6_autgroup @ A @ ( k2_group_1 @ A ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[3841]) ).
thf(3843,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v1_group_1 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ( ( k7_funct_2 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( k6_autgroup @ A @ ( k3_group_1 @ A @ B ) ) @ ( k6_autgroup @ A @ B ) )
= ( k6_autgroup @ A @ ( k2_group_1 @ A ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[3842]) ).
thf(3844,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v1_group_1 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ( ( k8_funct_2 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( k6_autgroup @ A @ ( k2_group_1 @ A ) ) @ B )
= B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(3845,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v1_group_1 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ( ( k6_autgroup @ A @ ( k2_group_1 @ A ) )
= ( k6_partfun1 @ ( u1_struct_0 @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(3846,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v1_group_1 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( k6_autgroup @ A @ ( k1_group_1 @ A @ B @ C ) )
= ( k7_funct_2 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( k6_autgroup @ A @ B ) @ ( k6_autgroup @ A @ C ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(3847,plain,
$true = $true,
inference(unfold_def,[status(thm)],[8]) ).
thf(3848,plain,
$true = $true,
inference(unfold_def,[status(thm)],[30]) ).
thf(3849,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v1_group_1 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ( ~ ( v3_struct_0 @ ( k3_autgroup @ A ) )
& ( v1_group_1 @ ( k3_autgroup @ A ) )
& ( v3_group_1 @ ( k3_autgroup @ A ) )
& ( v4_group_1 @ ( k3_autgroup @ A ) )
& ( l1_group_1 @ ( k3_autgroup @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(3850,plain,
$true = $true,
inference(unfold_def,[status(thm)],[69]) ).
thf(3851,plain,
$true = $true,
inference(unfold_def,[status(thm)],[71]) ).
thf(3852,plain,
$true = $true,
inference(unfold_def,[status(thm)],[72]) ).
thf(3853,plain,
$true = $true,
inference(unfold_def,[status(thm)],[73]) ).
thf(3854,plain,
$true = $true,
inference(unfold_def,[status(thm)],[74]) ).
thf(3855,plain,
$true = $true,
inference(unfold_def,[status(thm)],[75]) ).
thf(3856,plain,
$true = $true,
inference(unfold_def,[status(thm)],[92]) ).
thf(3857,plain,
( ( ! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v1_group_1 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A )
& ~ ( v3_struct_0 @ B )
& ( v1_group_1 @ B )
& ( v3_group_1 @ B )
& ( v4_group_1 @ B )
& ( l1_group_1 @ B ) )
=> ( r2_group_6 @ A @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[99]) ).
thf(3858,plain,
( ( ! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v1_group_1 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A )
& ~ ( v3_struct_0 @ B )
& ( v1_group_1 @ B )
& ( v3_group_1 @ B )
& ( v4_group_1 @ B )
& ( l1_group_1 @ B ) )
=> ( ( r2_group_6 @ A @ B )
=> ( r2_group_6 @ B @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[100]) ).
thf(3859,plain,
( ( ! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A )
& ~ ( v3_struct_0 @ B )
& ( v3_group_1 @ B )
& ( v4_group_1 @ B )
& ( l1_group_1 @ B ) )
=> ( r1_group_6 @ A @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[101]) ).
thf(3860,plain,
$true = $true,
inference(unfold_def,[status(thm)],[110]) ).
thf(3861,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( v3_group_1 @ B )
& ( v4_group_1 @ B )
& ( l1_group_1 @ B ) )
=> ! [C: $i] :
( ( ~ ( v3_struct_0 @ C )
& ( v3_group_1 @ C )
& ( v4_group_1 @ C )
& ( l1_group_1 @ C ) )
=> ( ( ( r1_group_6 @ A @ B )
& ( r1_group_6 @ B @ C ) )
=> ( r1_group_6 @ A @ C ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[120]) ).
thf(3862,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v1_group_1 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( v1_group_1 @ B )
& ( v3_group_1 @ B )
& ( v4_group_1 @ B )
& ( l1_group_1 @ B ) )
=> ( ( r1_group_6 @ A @ B )
=> ( r1_group_6 @ B @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[121]) ).
thf(3863,plain,
$true = $true,
inference(unfold_def,[status(thm)],[122]) ).
thf(3864,plain,
$true = $true,
inference(unfold_def,[status(thm)],[166]) ).
thf(3865,plain,
$true = $true,
inference(unfold_def,[status(thm)],[167]) ).
thf(3866,plain,
$true = $true,
inference(unfold_def,[status(thm)],[168]) ).
thf(3867,plain,
$true = $true,
inference(unfold_def,[status(thm)],[186]) ).
thf(3868,plain,
$true = $true,
inference(unfold_def,[status(thm)],[187]) ).
thf(3869,plain,
$true = $true,
inference(unfold_def,[status(thm)],[188]) ).
thf(3870,plain,
$true = $true,
inference(unfold_def,[status(thm)],[206]) ).
thf(3871,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A )
& ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
& ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
& ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) ) )
=> ( m1_subset_1 @ ( k3_group_5 @ A @ B @ C @ D ) @ ( u1_struct_0 @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[232]) ).
thf(3872,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A )
& ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
& ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) ) )
=> ( m1_subset_1 @ ( k2_group_5 @ A @ B @ C ) @ ( u1_struct_0 @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[233]) ).
thf(3873,plain,
$true = $true,
inference(unfold_def,[status(thm)],[241]) ).
thf(3874,plain,
$true = $true,
inference(unfold_def,[status(thm)],[242]) ).
thf(3875,plain,
$true = $true,
inference(unfold_def,[status(thm)],[248]) ).
thf(3876,plain,
$true = $true,
inference(unfold_def,[status(thm)],[259]) ).
thf(3877,plain,
$true = $true,
inference(unfold_def,[status(thm)],[264]) ).
thf(3878,plain,
$true = $true,
inference(unfold_def,[status(thm)],[268]) ).
thf(3879,plain,
$true = $true,
inference(unfold_def,[status(thm)],[276]) ).
thf(3880,plain,
$true = $true,
inference(unfold_def,[status(thm)],[283]) ).
thf(3881,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( k3_group_5 @ A @ B @ B @ C )
= ( k2_group_1 @ A ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[290]) ).
thf(3882,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( ( k3_group_5 @ A @ B @ C @ ( k2_group_1 @ A ) )
= ( k2_group_1 @ A ) )
& ( ( k3_group_5 @ A @ B @ ( k2_group_1 @ A ) @ C )
= ( k2_group_1 @ A ) )
& ( ( k3_group_5 @ A @ ( k2_group_1 @ A ) @ B @ C )
= ( k2_group_1 @ A ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[291]) ).
thf(3883,plain,
$true = $true,
inference(unfold_def,[status(thm)],[292]) ).
thf(3884,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( k3_group_1 @ A @ ( k2_group_5 @ A @ B @ C ) )
= ( k2_group_5 @ A @ C @ B ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[310]) ).
thf(3885,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ( ( ( k2_group_5 @ A @ B @ ( k3_group_1 @ A @ B ) )
= ( k2_group_1 @ A ) )
& ( ( k2_group_5 @ A @ ( k3_group_1 @ A @ B ) @ B )
= ( k2_group_1 @ A ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[311]) ).
thf(3886,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ( ( k2_group_5 @ A @ B @ B )
= ( k2_group_1 @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[312]) ).
thf(3887,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ( ( ( k2_group_5 @ A @ ( k2_group_1 @ A ) @ B )
= ( k2_group_1 @ A ) )
& ( ( k2_group_5 @ A @ B @ ( k2_group_1 @ A ) )
= ( k2_group_1 @ A ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[313]) ).
thf(3888,plain,
$true = $true,
inference(unfold_def,[status(thm)],[325]) ).
thf(3889,plain,
$true = $true,
inference(unfold_def,[status(thm)],[326]) ).
thf(3890,plain,
$true = $true,
inference(unfold_def,[status(thm)],[327]) ).
thf(3891,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A )
& ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
& ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) ) )
=> ( m1_subset_1 @ ( k2_group_3 @ A @ B @ C ) @ ( u1_struct_0 @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[356]) ).
thf(3892,plain,
$true = $true,
inference(unfold_def,[status(thm)],[357]) ).
thf(3893,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A )
& ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
& ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) ) )
=> ( r2_group_3 @ A @ B @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[365]) ).
thf(3894,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A )
& ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
& ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) ) )
=> ( ( r2_group_3 @ A @ B @ C )
=> ( r2_group_3 @ A @ C @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[366]) ).
thf(3895,plain,
$true = $true,
inference(unfold_def,[status(thm)],[373]) ).
thf(3896,plain,
$true = $true,
inference(unfold_def,[status(thm)],[380]) ).
thf(3897,plain,
$true = $true,
inference(unfold_def,[status(thm)],[381]) ).
thf(3898,plain,
$true = $true,
inference(unfold_def,[status(thm)],[397]) ).
thf(3899,plain,
$true = $true,
inference(unfold_def,[status(thm)],[398]) ).
thf(3900,plain,
$true = $true,
inference(unfold_def,[status(thm)],[408]) ).
thf(3901,plain,
$true = $true,
inference(unfold_def,[status(thm)],[409]) ).
thf(3902,plain,
$true = $true,
inference(unfold_def,[status(thm)],[415]) ).
thf(3903,plain,
$true = $true,
inference(unfold_def,[status(thm)],[423]) ).
thf(3904,plain,
$true = $true,
inference(unfold_def,[status(thm)],[425]) ).
thf(3905,plain,
$true = $true,
inference(unfold_def,[status(thm)],[432]) ).
thf(3906,plain,
$true = $true,
inference(unfold_def,[status(thm)],[442]) ).
thf(3907,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ( ( ( r2_group_3 @ A @ B @ ( k2_group_1 @ A ) )
| ( r2_group_3 @ A @ ( k2_group_1 @ A ) @ B ) )
=> ( B
= ( k2_group_1 @ A ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[444]) ).
thf(3908,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ! [D: $i] :
( ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) )
=> ( ( ( r2_group_3 @ A @ B @ C )
& ( r2_group_3 @ A @ C @ D ) )
=> ( r2_group_3 @ A @ B @ D ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[445]) ).
thf(3909,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( r1_group_3 @ A @ B @ C )
=> ( r1_group_3 @ A @ C @ B ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[446]) ).
thf(3910,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ( r1_group_3 @ A @ B @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[447]) ).
thf(3911,plain,
$true = $true,
inference(unfold_def,[status(thm)],[449]) ).
thf(3912,plain,
$true = $true,
inference(unfold_def,[status(thm)],[462]) ).
thf(3913,plain,
$true = $true,
inference(unfold_def,[status(thm)],[468]) ).
thf(3914,plain,
$true = $true,
inference(unfold_def,[status(thm)],[469]) ).
thf(3915,plain,
$true = $true,
inference(unfold_def,[status(thm)],[474]) ).
thf(3916,plain,
$true = $true,
inference(unfold_def,[status(thm)],[489]) ).
thf(3917,plain,
$true = $true,
inference(unfold_def,[status(thm)],[490]) ).
thf(3918,plain,
$true = $true,
inference(unfold_def,[status(thm)],[503]) ).
thf(3919,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( k2_group_3 @ A @ ( k3_group_1 @ A @ B ) @ C )
= ( k3_group_1 @ A @ ( k2_group_3 @ A @ B @ C ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[508]) ).
thf(3920,plain,
$true = $true,
inference(unfold_def,[status(thm)],[509]) ).
thf(3921,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( ( k2_group_3 @ A @ ( k2_group_3 @ A @ B @ C ) @ ( k3_group_1 @ A @ C ) )
= B )
& ( ( k2_group_3 @ A @ ( k2_group_3 @ A @ B @ ( k3_group_1 @ A @ C ) ) @ C )
= B ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[510]) ).
thf(3922,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ( ( ( k2_group_3 @ A @ B @ ( k3_group_1 @ A @ B ) )
= B )
& ( ( k2_group_3 @ A @ ( k3_group_1 @ A @ B ) @ B )
= ( k3_group_1 @ A @ B ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[514]) ).
thf(3923,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ( ( k2_group_3 @ A @ B @ B )
= B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[515]) ).
thf(3924,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ( ( k2_group_3 @ A @ B @ ( k2_group_1 @ A ) )
= B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[516]) ).
thf(3925,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( ( k2_group_3 @ A @ B @ C )
= ( k2_group_1 @ A ) )
=> ( B
= ( k2_group_1 @ A ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[517]) ).
thf(3926,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ( ( k2_group_3 @ A @ ( k2_group_1 @ A ) @ B )
= ( k2_group_1 @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[518]) ).
thf(3927,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ! [D: $i] :
( ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) )
=> ( ( ( k2_group_3 @ A @ B @ C )
= ( k2_group_3 @ A @ D @ C ) )
=> ( B = D ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[519]) ).
thf(3928,plain,
$true = $true,
inference(unfold_def,[status(thm)],[524]) ).
thf(3929,plain,
$true = $true,
inference(unfold_def,[status(thm)],[525]) ).
thf(3930,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( ( k1_group_1 @ A @ ( k1_group_1 @ A @ B @ C ) @ ( k3_group_1 @ A @ C ) )
= B )
& ( ( k1_group_1 @ A @ ( k1_group_1 @ A @ B @ ( k3_group_1 @ A @ C ) ) @ C )
= B )
& ( ( k1_group_1 @ A @ ( k1_group_1 @ A @ ( k3_group_1 @ A @ C ) @ C ) @ B )
= B )
& ( ( k1_group_1 @ A @ ( k1_group_1 @ A @ C @ ( k3_group_1 @ A @ C ) ) @ B )
= B )
& ( ( k1_group_1 @ A @ B @ ( k1_group_1 @ A @ C @ ( k3_group_1 @ A @ C ) ) )
= B )
& ( ( k1_group_1 @ A @ B @ ( k1_group_1 @ A @ ( k3_group_1 @ A @ C ) @ C ) )
= B )
& ( ( k1_group_1 @ A @ ( k3_group_1 @ A @ C ) @ ( k1_group_1 @ A @ C @ B ) )
= B )
& ( ( k1_group_1 @ A @ C @ ( k1_group_1 @ A @ ( k3_group_1 @ A @ C ) @ B ) )
= B ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[541]) ).
thf(3931,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ? [B: $i] : ( m1_group_2 @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[577]) ).
thf(3932,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_group_2 @ B @ A )
=> ( ~ ( v3_struct_0 @ B )
& ( v3_group_1 @ B )
& ( l1_group_1 @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[578]) ).
thf(3933,plain,
$true = $true,
inference(unfold_def,[status(thm)],[600]) ).
thf(3934,plain,
$true = $true,
inference(unfold_def,[status(thm)],[601]) ).
thf(3935,plain,
$true = $true,
inference(unfold_def,[status(thm)],[602]) ).
thf(3936,plain,
$true = $true,
inference(unfold_def,[status(thm)],[603]) ).
thf(3937,plain,
$true = $true,
inference(unfold_def,[status(thm)],[604]) ).
thf(3938,plain,
$true = $true,
inference(unfold_def,[status(thm)],[605]) ).
thf(3939,plain,
$true = $true,
inference(unfold_def,[status(thm)],[606]) ).
thf(3940,plain,
$true = $true,
inference(unfold_def,[status(thm)],[634]) ).
thf(3941,plain,
$true = $true,
inference(unfold_def,[status(thm)],[641]) ).
thf(3942,plain,
$true = $true,
inference(unfold_def,[status(thm)],[642]) ).
thf(3943,plain,
$true = $true,
inference(unfold_def,[status(thm)],[654]) ).
thf(3944,plain,
$true = $true,
inference(unfold_def,[status(thm)],[655]) ).
thf(3945,plain,
$true = $true,
inference(unfold_def,[status(thm)],[673]) ).
thf(3946,plain,
$true = $true,
inference(unfold_def,[status(thm)],[674]) ).
thf(3947,plain,
$true = $true,
inference(unfold_def,[status(thm)],[684]) ).
thf(3948,plain,
$true = $true,
inference(unfold_def,[status(thm)],[697]) ).
thf(3949,plain,
$true = $true,
inference(unfold_def,[status(thm)],[698]) ).
thf(3950,plain,
$true = $true,
inference(unfold_def,[status(thm)],[699]) ).
thf(3951,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v1_group_1 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( ( v1_group_1 @ B )
& ( m1_group_2 @ B @ A ) )
=> ( ( ( u1_struct_0 @ B )
= ( u1_struct_0 @ A ) )
=> ( B = A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[703]) ).
thf(3952,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( v3_group_1 @ B )
& ( v4_group_1 @ B )
& ( l1_group_1 @ B ) )
=> ! [C: $i] :
( ( ~ ( v3_struct_0 @ C )
& ( v3_group_1 @ C )
& ( v4_group_1 @ C )
& ( l1_group_1 @ C ) )
=> ( ( ( m1_group_2 @ A @ B )
& ( m1_group_2 @ B @ C ) )
=> ( m1_group_2 @ A @ C ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[709]) ).
thf(3953,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ( m1_group_2 @ A @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[711]) ).
thf(3954,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_group_2 @ C @ A )
=> ! [D: $i] :
( ( m1_subset_1 @ D @ ( u1_struct_0 @ C ) )
=> ( ( D = B )
=> ( ( k3_group_1 @ C @ D )
= ( k3_group_1 @ A @ B ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[717]) ).
thf(3955,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_group_2 @ B @ A )
=> ! [C: $i] :
( ( m1_group_2 @ C @ A )
=> ( ( k2_group_1 @ B )
= ( k2_group_1 @ C ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[720]) ).
thf(3956,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_group_2 @ B @ A )
=> ( ( k2_group_1 @ B )
= ( k2_group_1 @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[721]) ).
thf(3957,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_group_2 @ B @ A )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ B ) )
=> ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[723]) ).
thf(3958,plain,
$true = $true,
inference(unfold_def,[status(thm)],[727]) ).
thf(3959,plain,
$true = $true,
inference(unfold_def,[status(thm)],[728]) ).
thf(3960,plain,
$true = $true,
inference(unfold_def,[status(thm)],[729]) ).
thf(3961,plain,
$true = $true,
inference(unfold_def,[status(thm)],[743]) ).
thf(3962,plain,
$true = $true,
inference(unfold_def,[status(thm)],[744]) ).
thf(3963,plain,
$true = $true,
inference(unfold_def,[status(thm)],[766]) ).
thf(3964,plain,
$true = $true,
inference(unfold_def,[status(thm)],[773]) ).
thf(3965,plain,
$true = $true,
inference(unfold_def,[status(thm)],[775]) ).
thf(3966,plain,
$true = $true,
inference(unfold_def,[status(thm)],[776]) ).
thf(3967,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_group_2 @ B @ A )
=> ( v4_group_1 @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[779]) ).
thf(3968,plain,
$true = $true,
inference(unfold_def,[status(thm)],[805]) ).
thf(3969,plain,
$true = $true,
inference(unfold_def,[status(thm)],[806]) ).
thf(3970,plain,
$true = $true,
inference(unfold_def,[status(thm)],[807]) ).
thf(3971,plain,
$true = $true,
inference(unfold_def,[status(thm)],[808]) ).
thf(3972,plain,
$true = $true,
inference(unfold_def,[status(thm)],[811]) ).
thf(3973,plain,
$true = $true,
inference(unfold_def,[status(thm)],[812]) ).
thf(3974,plain,
$true = $true,
inference(unfold_def,[status(thm)],[813]) ).
thf(3975,plain,
$true = $true,
inference(unfold_def,[status(thm)],[814]) ).
thf(3976,plain,
$true = $true,
inference(unfold_def,[status(thm)],[815]) ).
thf(3977,plain,
$true = $true,
inference(unfold_def,[status(thm)],[816]) ).
thf(3978,plain,
$true = $true,
inference(unfold_def,[status(thm)],[820]) ).
thf(3979,plain,
$true = $true,
inference(unfold_def,[status(thm)],[821]) ).
thf(3980,plain,
$true = $true,
inference(unfold_def,[status(thm)],[822]) ).
thf(3981,plain,
$true = $true,
inference(unfold_def,[status(thm)],[824]) ).
thf(3982,plain,
$true = $true,
inference(unfold_def,[status(thm)],[825]) ).
thf(3983,plain,
$true = $true,
inference(unfold_def,[status(thm)],[826]) ).
thf(3984,plain,
$true = $true,
inference(unfold_def,[status(thm)],[827]) ).
thf(3985,plain,
$true = $true,
inference(unfold_def,[status(thm)],[829]) ).
thf(3986,plain,
$true = $true,
inference(unfold_def,[status(thm)],[830]) ).
thf(3987,plain,
$true = $true,
inference(unfold_def,[status(thm)],[857]) ).
thf(3988,plain,
$true = $true,
inference(unfold_def,[status(thm)],[858]) ).
thf(3989,plain,
$true = $true,
inference(unfold_def,[status(thm)],[859]) ).
thf(3990,plain,
$true = $true,
inference(unfold_def,[status(thm)],[860]) ).
thf(3991,plain,
$true = $true,
inference(unfold_def,[status(thm)],[861]) ).
thf(3992,plain,
$true = $true,
inference(unfold_def,[status(thm)],[862]) ).
thf(3993,plain,
$true = $true,
inference(unfold_def,[status(thm)],[863]) ).
thf(3994,plain,
$true = $true,
inference(unfold_def,[status(thm)],[864]) ).
thf(3995,plain,
$true = $true,
inference(unfold_def,[status(thm)],[865]) ).
thf(3996,plain,
( ( ? [A: $i] :
( ( l1_funcsdom @ A )
& ~ ( v3_struct_0 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[875]) ).
thf(3997,plain,
( ( ! [A: $i] :
( ( l1_vectsp_1 @ A )
=> ( l1_group_1 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[908]) ).
thf(3998,plain,
$true = $true,
inference(unfold_def,[status(thm)],[912]) ).
thf(3999,plain,
$true = $true,
inference(unfold_def,[status(thm)],[918]) ).
thf(4000,plain,
$true = $true,
inference(unfold_def,[status(thm)],[920]) ).
thf(4001,plain,
$true = $true,
inference(unfold_def,[status(thm)],[921]) ).
thf(4002,plain,
$true = $true,
inference(unfold_def,[status(thm)],[923]) ).
thf(4003,plain,
$true = $true,
inference(unfold_def,[status(thm)],[924]) ).
thf(4004,plain,
$true = $true,
inference(unfold_def,[status(thm)],[927]) ).
thf(4005,plain,
$true = $true,
inference(unfold_def,[status(thm)],[929]) ).
thf(4006,plain,
$true = $true,
inference(unfold_def,[status(thm)],[930]) ).
thf(4007,plain,
$true = $true,
inference(unfold_def,[status(thm)],[931]) ).
thf(4008,plain,
$true = $true,
inference(unfold_def,[status(thm)],[934]) ).
thf(4009,plain,
$true = $true,
inference(unfold_def,[status(thm)],[935]) ).
thf(4010,plain,
$true = $true,
inference(unfold_def,[status(thm)],[944]) ).
thf(4011,plain,
$true = $true,
inference(unfold_def,[status(thm)],[945]) ).
thf(4012,plain,
$true = $true,
inference(unfold_def,[status(thm)],[948]) ).
thf(4013,plain,
$true = $true,
inference(unfold_def,[status(thm)],[949]) ).
thf(4014,plain,
$true = $true,
inference(unfold_def,[status(thm)],[950]) ).
thf(4015,plain,
$true = $true,
inference(unfold_def,[status(thm)],[951]) ).
thf(4016,plain,
$true = $true,
inference(unfold_def,[status(thm)],[952]) ).
thf(4017,plain,
$true = $true,
inference(unfold_def,[status(thm)],[953]) ).
thf(4018,plain,
$true = $true,
inference(unfold_def,[status(thm)],[954]) ).
thf(4019,plain,
$true = $true,
inference(unfold_def,[status(thm)],[955]) ).
thf(4020,plain,
$true = $true,
inference(unfold_def,[status(thm)],[956]) ).
thf(4021,plain,
$true = $true,
inference(unfold_def,[status(thm)],[957]) ).
thf(4022,plain,
$true = $true,
inference(unfold_def,[status(thm)],[958]) ).
thf(4023,plain,
$true = $true,
inference(unfold_def,[status(thm)],[959]) ).
thf(4024,plain,
$true = $true,
inference(unfold_def,[status(thm)],[960]) ).
thf(4025,plain,
$true = $true,
inference(unfold_def,[status(thm)],[971]) ).
thf(4026,plain,
$true = $true,
inference(unfold_def,[status(thm)],[972]) ).
thf(4027,plain,
$true = $true,
inference(unfold_def,[status(thm)],[974]) ).
thf(4028,plain,
$true = $true,
inference(unfold_def,[status(thm)],[975]) ).
thf(4029,plain,
$true = $true,
inference(unfold_def,[status(thm)],[979]) ).
thf(4030,plain,
$true = $true,
inference(unfold_def,[status(thm)],[980]) ).
thf(4031,plain,
$true = $true,
inference(unfold_def,[status(thm)],[981]) ).
thf(4032,plain,
$true = $true,
inference(unfold_def,[status(thm)],[982]) ).
thf(4033,plain,
$true = $true,
inference(unfold_def,[status(thm)],[983]) ).
thf(4034,plain,
$true = $true,
inference(unfold_def,[status(thm)],[984]) ).
thf(4035,plain,
$true = $true,
inference(unfold_def,[status(thm)],[985]) ).
thf(4036,plain,
$true = $true,
inference(unfold_def,[status(thm)],[986]) ).
thf(4037,plain,
$true = $true,
inference(unfold_def,[status(thm)],[987]) ).
thf(4038,plain,
$true = $true,
inference(unfold_def,[status(thm)],[988]) ).
thf(4039,plain,
$true = $true,
inference(unfold_def,[status(thm)],[992]) ).
thf(4040,plain,
$true = $true,
inference(unfold_def,[status(thm)],[993]) ).
thf(4041,plain,
$true = $true,
inference(unfold_def,[status(thm)],[994]) ).
thf(4042,plain,
$true = $true,
inference(unfold_def,[status(thm)],[995]) ).
thf(4043,plain,
$true = $true,
inference(unfold_def,[status(thm)],[996]) ).
thf(4044,plain,
$true = $true,
inference(unfold_def,[status(thm)],[997]) ).
thf(4045,plain,
$true = $true,
inference(unfold_def,[status(thm)],[998]) ).
thf(4046,plain,
$true = $true,
inference(unfold_def,[status(thm)],[999]) ).
thf(4047,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1000]) ).
thf(4048,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1001]) ).
thf(4049,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1002]) ).
thf(4050,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1003]) ).
thf(4051,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1008]) ).
thf(4052,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1009]) ).
thf(4053,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1011]) ).
thf(4054,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1015]) ).
thf(4055,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1017]) ).
thf(4056,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1018]) ).
thf(4057,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1021]) ).
thf(4058,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1022]) ).
thf(4059,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1023]) ).
thf(4060,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1024]) ).
thf(4061,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1025]) ).
thf(4062,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1027]) ).
thf(4063,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1028]) ).
thf(4064,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1029]) ).
thf(4065,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1030]) ).
thf(4066,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1031]) ).
thf(4067,plain,
( ( ? [A: $i] :
( ( l1_group_1 @ A )
& ~ ( v3_struct_0 @ A )
& ( v4_group_1 @ A )
& ( v7_group_1 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1041]) ).
thf(4068,plain,
( ( ! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A )
& ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) ) )
=> ( m1_subset_1 @ ( k3_group_1 @ A @ B ) @ ( u1_struct_0 @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1070]) ).
thf(4069,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_group_1 @ A ) )
=> ( m1_subset_1 @ ( k2_group_1 @ A ) @ ( u1_struct_0 @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1071]) ).
thf(4070,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_group_1 @ A )
& ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
& ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) ) )
=> ( m1_subset_1 @ ( k1_group_1 @ A @ B @ C ) @ ( u1_struct_0 @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1072]) ).
thf(4071,plain,
( ( ? [A: $i] : ( l1_group_1 @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[1074]) ).
thf(4072,plain,
( ( ! [A: $i] :
( ( l1_group_1 @ A )
=> ( l1_struct_0 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1075]) ).
thf(4073,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1080]) ).
thf(4074,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1082]) ).
thf(4075,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1085]) ).
thf(4076,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1086]) ).
thf(4077,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1087]) ).
thf(4078,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1094]) ).
thf(4079,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1096]) ).
thf(4080,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1097]) ).
thf(4081,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ~ ( v5_group_1 @ ( k2_group_1 @ A ) @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1099]) ).
thf(4082,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1100]) ).
thf(4083,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1103]) ).
thf(4084,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1121]) ).
thf(4085,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1122]) ).
thf(4086,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1138]) ).
thf(4087,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1139]) ).
thf(4088,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1140]) ).
thf(4089,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1141]) ).
thf(4090,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1152]) ).
thf(4091,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1153]) ).
thf(4092,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( ( k1_group_1 @ A @ B @ C )
= ( k1_group_1 @ A @ C @ B ) )
<=> ( ( k1_group_1 @ A @ B @ ( k3_group_1 @ A @ C ) )
= ( k1_group_1 @ A @ ( k3_group_1 @ A @ C ) @ B ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1155]) ).
thf(4093,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( ( k1_group_1 @ A @ B @ C )
= ( k1_group_1 @ A @ C @ B ) )
<=> ( ( k1_group_1 @ A @ ( k3_group_1 @ A @ B ) @ ( k3_group_1 @ A @ C ) )
= ( k1_group_1 @ A @ ( k3_group_1 @ A @ C ) @ ( k3_group_1 @ A @ B ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1156]) ).
thf(4094,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( ( k1_group_1 @ A @ B @ C )
= ( k1_group_1 @ A @ C @ B ) )
<=> ( ( k3_group_1 @ A @ ( k1_group_1 @ A @ B @ C ) )
= ( k1_group_1 @ A @ ( k3_group_1 @ A @ B ) @ ( k3_group_1 @ A @ C ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1157]) ).
thf(4095,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( k3_group_1 @ A @ ( k1_group_1 @ A @ B @ C ) )
= ( k1_group_1 @ A @ ( k3_group_1 @ A @ C ) @ ( k3_group_1 @ A @ B ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1158]) ).
thf(4096,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ? [D: $i] :
( ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) )
& ( ( k1_group_1 @ A @ D @ B )
= C ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1159]) ).
thf(4097,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ? [D: $i] :
( ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) )
& ( ( k1_group_1 @ A @ B @ D )
= C ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1160]) ).
thf(4098,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ! [D: $i] :
( ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) )
=> ( ( ( k1_group_1 @ A @ B @ C )
= D )
<=> ( B
= ( k1_group_1 @ A @ D @ ( k3_group_1 @ A @ C ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1161]) ).
thf(4099,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ! [D: $i] :
( ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) )
=> ( ( ( k1_group_1 @ A @ B @ C )
= D )
<=> ( C
= ( k1_group_1 @ A @ ( k3_group_1 @ A @ B ) @ D ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1162]) ).
thf(4100,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( ( ( k1_group_1 @ A @ B @ C )
= ( k2_group_1 @ A ) )
| ( ( k1_group_1 @ A @ C @ B )
= ( k2_group_1 @ A ) ) )
=> ( ( B
= ( k3_group_1 @ A @ C ) )
& ( C
= ( k3_group_1 @ A @ B ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1163]) ).
thf(4101,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ( ( k3_group_1 @ A @ ( k3_group_1 @ A @ B ) )
= B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1164]) ).
thf(4102,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ( ( ( k3_group_1 @ A @ B )
= ( k2_group_1 @ A ) )
=> ( B
= ( k2_group_1 @ A ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1165]) ).
thf(4103,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( ( k3_group_1 @ A @ B )
= ( k3_group_1 @ A @ C ) )
=> ( B = C ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1166]) ).
thf(4104,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ( ( k3_group_1 @ A @ ( k2_group_1 @ A ) )
= ( k2_group_1 @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1167]) ).
thf(4105,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( ( ( k1_group_1 @ A @ B @ C )
= B )
| ( ( k1_group_1 @ A @ C @ B )
= B ) )
=> ( C
= ( k2_group_1 @ A ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1168]) ).
thf(4106,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ! [D: $i] :
( ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) )
=> ( ( ( ( k1_group_1 @ A @ B @ C )
= ( k1_group_1 @ A @ B @ D ) )
| ( ( k1_group_1 @ A @ C @ B )
= ( k1_group_1 @ A @ D @ B ) ) )
=> ( C = D ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1169]) ).
thf(4107,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1170]) ).
thf(4108,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( ( ( k1_group_1 @ A @ B @ C )
= ( k2_group_1 @ A ) )
& ( ( k1_group_1 @ A @ C @ B )
= ( k2_group_1 @ A ) ) )
=> ( C
= ( k3_group_1 @ A @ B ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1171]) ).
thf(4109,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1172]) ).
thf(4110,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( C
= ( k3_group_1 @ A @ B ) )
<=> ( ( ( k1_group_1 @ A @ B @ C )
= ( k2_group_1 @ A ) )
& ( ( k1_group_1 @ A @ C @ B )
= ( k2_group_1 @ A ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1173]) ).
thf(4111,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ( ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( ( k1_group_1 @ A @ C @ B )
= C )
& ( ( k1_group_1 @ A @ B @ C )
= C ) ) )
=> ( B
= ( k2_group_1 @ A ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1174]) ).
thf(4112,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1175]) ).
thf(4113,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1176]) ).
thf(4114,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_group_1 @ A ) )
=> ( ( ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ! [D: $i] :
( ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) )
=> ( ( k1_group_1 @ A @ ( k1_group_1 @ A @ B @ C ) @ D )
= ( k1_group_1 @ A @ B @ ( k1_group_1 @ A @ C @ D ) ) ) ) ) )
& ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ? [D: $i] :
( ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) )
& ( ( k1_group_1 @ A @ B @ D )
= C ) )
& ? [D: $i] :
( ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) )
& ( ( k1_group_1 @ A @ D @ B )
= C ) ) ) ) ) )
=> ( ( v4_group_1 @ A )
& ( v3_group_1 @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1179]) ).
thf(4115,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_group_1 @ A ) )
=> ( ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ! [D: $i] :
( ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) )
=> ( ( k1_group_1 @ A @ ( k1_group_1 @ A @ B @ C ) @ D )
= ( k1_group_1 @ A @ B @ ( k1_group_1 @ A @ C @ D ) ) ) ) ) )
=> ( ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ~ ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( ( k1_group_1 @ A @ C @ B )
= C )
& ( ( k1_group_1 @ A @ B @ C )
= C )
& ? [D: $i] :
( ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) )
& ( ( k1_group_1 @ A @ C @ D )
= B )
& ( ( k1_group_1 @ A @ D @ C )
= B ) ) ) ) )
| ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1180]) ).
thf(4116,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1181]) ).
thf(4117,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1182]) ).
thf(4118,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1183]) ).
thf(4119,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1184]) ).
thf(4120,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_group_1 @ A ) )
=> ( ( v4_group_1 @ A )
<=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ! [D: $i] :
( ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) )
=> ( ( k1_group_1 @ A @ ( k1_group_1 @ A @ B @ C ) @ D )
= ( k1_group_1 @ A @ B @ ( k1_group_1 @ A @ C @ D ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1185]) ).
thf(4121,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_group_1 @ A ) )
=> ( ( v3_group_1 @ A )
<=> ? [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
& ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( ( k1_group_1 @ A @ C @ B )
= C )
& ( ( k1_group_1 @ A @ B @ C )
= C )
& ? [D: $i] :
( ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) )
& ( ( k1_group_1 @ A @ C @ D )
= B )
& ( ( k1_group_1 @ A @ D @ C )
= B ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1186]) ).
thf(4122,plain,
( ( ? [A: $i] :
( ( l1_group_1 @ A )
& ~ ( v3_struct_0 @ A )
& ( v1_group_1 @ A )
& ( v2_group_1 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1191]) ).
thf(4123,plain,
( ( ! [A: $i] :
( ( l1_group_1 @ A )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v2_group_1 @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1192]) ).
thf(4124,plain,
( ( ? [A: $i] :
( ( l1_group_1 @ A )
& ~ ( v3_struct_0 @ A )
& ( v1_group_1 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1194]) ).
thf(4125,plain,
( ( ? [A: $i] :
( ( l1_group_1 @ A )
& ( v1_group_1 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1195]) ).
thf(4126,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1231]) ).
thf(4127,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1254]) ).
thf(4128,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1266]) ).
thf(4129,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1267]) ).
thf(4130,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1288]) ).
thf(4131,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1302]) ).
thf(4132,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1303]) ).
thf(4133,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1305]) ).
thf(4134,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1306]) ).
thf(4135,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1307]) ).
thf(4136,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1308]) ).
thf(4137,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1309]) ).
thf(4138,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1313]) ).
thf(4139,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1314]) ).
thf(4140,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1316]) ).
thf(4141,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1323]) ).
thf(4142,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1328]) ).
thf(4143,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1329]) ).
thf(4144,plain,
( ( ? [A: $i] :
( ( l2_rlvect_1 @ A )
& ~ ( v3_struct_0 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1335]) ).
thf(4145,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)],[1338]) ).
thf(4146,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1343]) ).
thf(4147,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1354]) ).
thf(4148,plain,
( ( ? [A: $i] :
( ( l2_struct_0 @ A )
& ~ ( v3_struct_0 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1361]) ).
thf(4149,plain,
( ( ? [A: $i] :
( ( l1_struct_0 @ A )
& ~ ( v3_struct_0 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1362]) ).
thf(4150,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1371]) ).
thf(4151,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1373]) ).
thf(4152,plain,
( ( ! [A: $i,B: $i] :
( ( m1_subset_1 @ B @ A )
=> ? [C: $i] : ( m3_realset1 @ C @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1374]) ).
thf(4153,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1419]) ).
thf(4154,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1422]) ).
thf(4155,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1423]) ).
thf(4156,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1430]) ).
thf(4157,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1437]) ).
thf(4158,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1467]) ).
thf(4159,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1471]) ).
thf(4160,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1486]) ).
thf(4161,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1487]) ).
thf(4162,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1489]) ).
thf(4163,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1493]) ).
thf(4164,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1509]) ).
thf(4165,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1513]) ).
thf(4166,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1514]) ).
thf(4167,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1518]) ).
thf(4168,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1524]) ).
thf(4169,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1534]) ).
thf(4170,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1547]) ).
thf(4171,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1548]) ).
thf(4172,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1578]) ).
thf(4173,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1592]) ).
thf(4174,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1594]) ).
thf(4175,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1595]) ).
thf(4176,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1597]) ).
thf(4177,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1602]) ).
thf(4178,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1605]) ).
thf(4179,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1609]) ).
thf(4180,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1610]) ).
thf(4181,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1615]) ).
thf(4182,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1617]) ).
thf(4183,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1618]) ).
thf(4184,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1619]) ).
thf(4185,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1635]) ).
thf(4186,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1643]) ).
thf(4187,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1655]) ).
thf(4188,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1656]) ).
thf(4189,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1657]) ).
thf(4190,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1658]) ).
thf(4191,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1659]) ).
thf(4192,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1660]) ).
thf(4193,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1662]) ).
thf(4194,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1663]) ).
thf(4195,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1664]) ).
thf(4196,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1667]) ).
thf(4197,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1668]) ).
thf(4198,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1669]) ).
thf(4199,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1670]) ).
thf(4200,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1672]) ).
thf(4201,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1673]) ).
thf(4202,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1674]) ).
thf(4203,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1676]) ).
thf(4204,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1677]) ).
thf(4205,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1678]) ).
thf(4206,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1691]) ).
thf(4207,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1710]) ).
thf(4208,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1719]) ).
thf(4209,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1731]) ).
thf(4210,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1734]) ).
thf(4211,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1739]) ).
thf(4212,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1742]) ).
thf(4213,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1758]) ).
thf(4214,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1759]) ).
thf(4215,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1760]) ).
thf(4216,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1761]) ).
thf(4217,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1762]) ).
thf(4218,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1763]) ).
thf(4219,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1764]) ).
thf(4220,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1765]) ).
thf(4221,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1775]) ).
thf(4222,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1776]) ).
thf(4223,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1777]) ).
thf(4224,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1778]) ).
thf(4225,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1779]) ).
thf(4226,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1780]) ).
thf(4227,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1781]) ).
thf(4228,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1784]) ).
thf(4229,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1785]) ).
thf(4230,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1786]) ).
thf(4231,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1787]) ).
thf(4232,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1788]) ).
thf(4233,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1789]) ).
thf(4234,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1860]) ).
thf(4235,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1861]) ).
thf(4236,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1862]) ).
thf(4237,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1863]) ).
thf(4238,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1980]) ).
thf(4239,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1981]) ).
thf(4240,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1984]) ).
thf(4241,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1987]) ).
thf(4242,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1991]) ).
thf(4243,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1993]) ).
thf(4244,plain,
$true = $true,
inference(unfold_def,[status(thm)],[1994]) ).
thf(4245,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2014]) ).
thf(4246,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2016]) ).
thf(4247,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2018]) ).
thf(4248,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2025]) ).
thf(4249,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2029]) ).
thf(4250,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2036]) ).
thf(4251,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2037]) ).
thf(4252,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2039]) ).
thf(4253,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2040]) ).
thf(4254,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2041]) ).
thf(4255,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2042]) ).
thf(4256,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2043]) ).
thf(4257,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2044]) ).
thf(4258,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2045]) ).
thf(4259,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2046]) ).
thf(4260,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2047]) ).
thf(4261,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2079]) ).
thf(4262,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2080]) ).
thf(4263,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2081]) ).
thf(4264,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2082]) ).
thf(4265,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2083]) ).
thf(4266,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2084]) ).
thf(4267,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2085]) ).
thf(4268,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2086]) ).
thf(4269,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2087]) ).
thf(4270,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2088]) ).
thf(4271,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2089]) ).
thf(4272,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2090]) ).
thf(4273,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2126]) ).
thf(4274,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2128]) ).
thf(4275,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2129]) ).
thf(4276,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2130]) ).
thf(4277,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2148]) ).
thf(4278,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2170]) ).
thf(4279,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2171]) ).
thf(4280,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2172]) ).
thf(4281,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2173]) ).
thf(4282,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2174]) ).
thf(4283,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2175]) ).
thf(4284,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2176]) ).
thf(4285,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2177]) ).
thf(4286,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2192]) ).
thf(4287,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2205]) ).
thf(4288,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2206]) ).
thf(4289,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2208]) ).
thf(4290,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2218]) ).
thf(4291,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2222]) ).
thf(4292,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2226]) ).
thf(4293,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2251]) ).
thf(4294,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2252]) ).
thf(4295,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2253]) ).
thf(4296,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2254]) ).
thf(4297,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2274]) ).
thf(4298,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2280]) ).
thf(4299,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2292]) ).
thf(4300,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2302]) ).
thf(4301,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2310]) ).
thf(4302,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2333]) ).
thf(4303,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2338]) ).
thf(4304,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2341]) ).
thf(4305,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2360]) ).
thf(4306,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2378]) ).
thf(4307,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2379]) ).
thf(4308,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2380]) ).
thf(4309,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2381]) ).
thf(4310,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2394]) ).
thf(4311,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2395]) ).
thf(4312,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2396]) ).
thf(4313,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2397]) ).
thf(4314,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2398]) ).
thf(4315,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2399]) ).
thf(4316,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2400]) ).
thf(4317,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2401]) ).
thf(4318,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2409]) ).
thf(4319,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2427]) ).
thf(4320,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2449]) ).
thf(4321,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2455]) ).
thf(4322,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2459]) ).
thf(4323,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2462]) ).
thf(4324,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2465]) ).
thf(4325,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2468]) ).
thf(4326,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2472]) ).
thf(4327,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2473]) ).
thf(4328,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2474]) ).
thf(4329,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2475]) ).
thf(4330,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2477]) ).
thf(4331,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2483]) ).
thf(4332,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2484]) ).
thf(4333,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2485]) ).
thf(4334,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2486]) ).
thf(4335,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2487]) ).
thf(4336,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2488]) ).
thf(4337,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2489]) ).
thf(4338,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2490]) ).
thf(4339,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2495]) ).
thf(4340,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2498]) ).
thf(4341,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2500]) ).
thf(4342,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2501]) ).
thf(4343,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2502]) ).
thf(4344,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2503]) ).
thf(4345,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2504]) ).
thf(4346,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2505]) ).
thf(4347,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2506]) ).
thf(4348,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2507]) ).
thf(4349,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2508]) ).
thf(4350,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2509]) ).
thf(4351,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2510]) ).
thf(4352,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2511]) ).
thf(4353,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2512]) ).
thf(4354,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2513]) ).
thf(4355,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2514]) ).
thf(4356,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2515]) ).
thf(4357,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2516]) ).
thf(4358,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2517]) ).
thf(4359,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2518]) ).
thf(4360,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2519]) ).
thf(4361,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2521]) ).
thf(4362,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2522]) ).
thf(4363,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2523]) ).
thf(4364,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2528]) ).
thf(4365,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2533]) ).
thf(4366,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2534]) ).
thf(4367,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2536]) ).
thf(4368,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2542]) ).
thf(4369,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2543]) ).
thf(4370,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2545]) ).
thf(4371,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2546]) ).
thf(4372,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2551]) ).
thf(4373,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2556]) ).
thf(4374,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2557]) ).
thf(4375,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2558]) ).
thf(4376,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2560]) ).
thf(4377,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2562]) ).
thf(4378,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2572]) ).
thf(4379,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2575]) ).
thf(4380,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2581]) ).
thf(4381,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2599]) ).
thf(4382,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2601]) ).
thf(4383,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2604]) ).
thf(4384,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2613]) ).
thf(4385,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2614]) ).
thf(4386,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2628]) ).
thf(4387,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2629]) ).
thf(4388,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2644]) ).
thf(4389,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2645]) ).
thf(4390,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2646]) ).
thf(4391,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2647]) ).
thf(4392,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2648]) ).
thf(4393,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2649]) ).
thf(4394,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2650]) ).
thf(4395,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2651]) ).
thf(4396,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2655]) ).
thf(4397,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2658]) ).
thf(4398,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2661]) ).
thf(4399,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2662]) ).
thf(4400,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2663]) ).
thf(4401,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2664]) ).
thf(4402,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2665]) ).
thf(4403,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2668]) ).
thf(4404,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2669]) ).
thf(4405,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2670]) ).
thf(4406,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2672]) ).
thf(4407,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2673]) ).
thf(4408,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2674]) ).
thf(4409,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2675]) ).
thf(4410,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2676]) ).
thf(4411,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2677]) ).
thf(4412,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2678]) ).
thf(4413,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2679]) ).
thf(4414,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2680]) ).
thf(4415,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2692]) ).
thf(4416,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2695]) ).
thf(4417,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2696]) ).
thf(4418,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2700]) ).
thf(4419,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2706]) ).
thf(4420,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2712]) ).
thf(4421,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2720]) ).
thf(4422,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2721]) ).
thf(4423,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2722]) ).
thf(4424,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2723]) ).
thf(4425,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2724]) ).
thf(4426,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2725]) ).
thf(4427,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2726]) ).
thf(4428,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2727]) ).
thf(4429,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2728]) ).
thf(4430,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2729]) ).
thf(4431,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2730]) ).
thf(4432,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2731]) ).
thf(4433,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2733]) ).
thf(4434,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2742]) ).
thf(4435,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2743]) ).
thf(4436,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2744]) ).
thf(4437,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2757]) ).
thf(4438,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2759]) ).
thf(4439,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2760]) ).
thf(4440,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2783]) ).
thf(4441,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2785]) ).
thf(4442,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2787]) ).
thf(4443,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2793]) ).
thf(4444,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2794]) ).
thf(4445,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2795]) ).
thf(4446,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2812]) ).
thf(4447,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2813]) ).
thf(4448,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2814]) ).
thf(4449,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2815]) ).
thf(4450,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2816]) ).
thf(4451,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2817]) ).
thf(4452,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2818]) ).
thf(4453,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2819]) ).
thf(4454,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2820]) ).
thf(4455,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2821]) ).
thf(4456,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2822]) ).
thf(4457,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2823]) ).
thf(4458,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2824]) ).
thf(4459,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2826]) ).
thf(4460,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2827]) ).
thf(4461,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2828]) ).
thf(4462,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2829]) ).
thf(4463,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2830]) ).
thf(4464,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2831]) ).
thf(4465,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2872]) ).
thf(4466,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2884]) ).
thf(4467,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2885]) ).
thf(4468,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2886]) ).
thf(4469,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2887]) ).
thf(4470,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2888]) ).
thf(4471,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2891]) ).
thf(4472,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2907]) ).
thf(4473,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2908]) ).
thf(4474,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2910]) ).
thf(4475,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2921]) ).
thf(4476,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2923]) ).
thf(4477,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2925]) ).
thf(4478,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2926]) ).
thf(4479,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2927]) ).
thf(4480,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2932]) ).
thf(4481,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2950]) ).
thf(4482,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2951]) ).
thf(4483,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2956]) ).
thf(4484,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2958]) ).
thf(4485,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2970]) ).
thf(4486,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2978]) ).
thf(4487,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2980]) ).
thf(4488,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2981]) ).
thf(4489,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2982]) ).
thf(4490,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2983]) ).
thf(4491,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2990]) ).
thf(4492,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2992]) ).
thf(4493,plain,
$true = $true,
inference(unfold_def,[status(thm)],[2993]) ).
thf(4494,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3000]) ).
thf(4495,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3001]) ).
thf(4496,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3040]) ).
thf(4497,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3045]) ).
thf(4498,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3046]) ).
thf(4499,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3047]) ).
thf(4500,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3048]) ).
thf(4501,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3049]) ).
thf(4502,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3050]) ).
thf(4503,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3051]) ).
thf(4504,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3052]) ).
thf(4505,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3053]) ).
thf(4506,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3054]) ).
thf(4507,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3055]) ).
thf(4508,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3056]) ).
thf(4509,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3057]) ).
thf(4510,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3058]) ).
thf(4511,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3059]) ).
thf(4512,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3060]) ).
thf(4513,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3078]) ).
thf(4514,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3106]) ).
thf(4515,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3107]) ).
thf(4516,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3111]) ).
thf(4517,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3112]) ).
thf(4518,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3113]) ).
thf(4519,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3114]) ).
thf(4520,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3115]) ).
thf(4521,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3116]) ).
thf(4522,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3117]) ).
thf(4523,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3118]) ).
thf(4524,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3119]) ).
thf(4525,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3120]) ).
thf(4526,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3129]) ).
thf(4527,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3132]) ).
thf(4528,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3133]) ).
thf(4529,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3134]) ).
thf(4530,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3135]) ).
thf(4531,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3136]) ).
thf(4532,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3137]) ).
thf(4533,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3138]) ).
thf(4534,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3139]) ).
thf(4535,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3140]) ).
thf(4536,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3141]) ).
thf(4537,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3142]) ).
thf(4538,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3143]) ).
thf(4539,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3144]) ).
thf(4540,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3145]) ).
thf(4541,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3146]) ).
thf(4542,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3147]) ).
thf(4543,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3148]) ).
thf(4544,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3150]) ).
thf(4545,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3151]) ).
thf(4546,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3153]) ).
thf(4547,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3155]) ).
thf(4548,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3156]) ).
thf(4549,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3157]) ).
thf(4550,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3158]) ).
thf(4551,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3159]) ).
thf(4552,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3160]) ).
thf(4553,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3161]) ).
thf(4554,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3163]) ).
thf(4555,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3168]) ).
thf(4556,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3170]) ).
thf(4557,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3171]) ).
thf(4558,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3172]) ).
thf(4559,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3173]) ).
thf(4560,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3174]) ).
thf(4561,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3176]) ).
thf(4562,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3177]) ).
thf(4563,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3182]) ).
thf(4564,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3207]) ).
thf(4565,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3209]) ).
thf(4566,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3210]) ).
thf(4567,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3214]) ).
thf(4568,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3216]) ).
thf(4569,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3219]) ).
thf(4570,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3223]) ).
thf(4571,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3224]) ).
thf(4572,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3225]) ).
thf(4573,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3226]) ).
thf(4574,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3227]) ).
thf(4575,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3229]) ).
thf(4576,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3231]) ).
thf(4577,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3242]) ).
thf(4578,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3244]) ).
thf(4579,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3245]) ).
thf(4580,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3249]) ).
thf(4581,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3250]) ).
thf(4582,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3251]) ).
thf(4583,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3252]) ).
thf(4584,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3253]) ).
thf(4585,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3255]) ).
thf(4586,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3256]) ).
thf(4587,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3258]) ).
thf(4588,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3273]) ).
thf(4589,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3274]) ).
thf(4590,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3281]) ).
thf(4591,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3282]) ).
thf(4592,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3283]) ).
thf(4593,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3311]) ).
thf(4594,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3312]) ).
thf(4595,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3315]) ).
thf(4596,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3335]) ).
thf(4597,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3336]) ).
thf(4598,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3364]) ).
thf(4599,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3365]) ).
thf(4600,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3394]) ).
thf(4601,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3395]) ).
thf(4602,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3396]) ).
thf(4603,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3410]) ).
thf(4604,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3411]) ).
thf(4605,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3412]) ).
thf(4606,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3419]) ).
thf(4607,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3421]) ).
thf(4608,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3423]) ).
thf(4609,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3424]) ).
thf(4610,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3425]) ).
thf(4611,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3439]) ).
thf(4612,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3440]) ).
thf(4613,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3447]) ).
thf(4614,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3448]) ).
thf(4615,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3468]) ).
thf(4616,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3469]) ).
thf(4617,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3474]) ).
thf(4618,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3475]) ).
thf(4619,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3479]) ).
thf(4620,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3480]) ).
thf(4621,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3487]) ).
thf(4622,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3488]) ).
thf(4623,plain,
( ( ! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ( m1_subset_1 @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3511]) ).
thf(4624,plain,
( ( ! [A: $i] : ( m1_subset_1 @ ( k8_subset_1 @ A ) @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[3512]) ).
thf(4625,plain,
( ( ! [A: $i] :
? [B: $i] : ( m1_subset_1 @ B @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[3539]) ).
thf(4626,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3540]) ).
thf(4627,plain,
( ( ! [A: $i] :
( ~ $true
=> ! [B: $i] :
( ( m1_subset_1 @ B @ A )
=> ( B
= ( k8_subset_1 @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3545]) ).
thf(4628,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3564]) ).
thf(4629,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3572]) ).
thf(4630,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3582]) ).
thf(4631,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3585]) ).
thf(4632,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3586]) ).
thf(4633,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3589]) ).
thf(4634,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3590]) ).
thf(4635,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3595]) ).
thf(4636,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3596]) ).
thf(4637,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3597]) ).
thf(4638,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3598]) ).
thf(4639,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3601]) ).
thf(4640,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3604]) ).
thf(4641,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3605]) ).
thf(4642,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3607]) ).
thf(4643,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3608]) ).
thf(4644,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3609]) ).
thf(4645,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3613]) ).
thf(4646,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3622]) ).
thf(4647,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3623]) ).
thf(4648,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3624]) ).
thf(4649,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3625]) ).
thf(4650,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3634]) ).
thf(4651,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3676]) ).
thf(4652,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3677]) ).
thf(4653,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3678]) ).
thf(4654,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3679]) ).
thf(4655,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3680]) ).
thf(4656,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3682]) ).
thf(4657,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3689]) ).
thf(4658,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3690]) ).
thf(4659,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3691]) ).
thf(4660,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3696]) ).
thf(4661,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3705]) ).
thf(4662,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3706]) ).
thf(4663,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3752]) ).
thf(4664,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3756]) ).
thf(4665,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3760]) ).
thf(4666,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3762]) ).
thf(4667,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3763]) ).
thf(4668,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3764]) ).
thf(4669,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3781]) ).
thf(4670,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3782]) ).
thf(4671,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3785]) ).
thf(4672,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3788]) ).
thf(4673,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3789]) ).
thf(4674,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3818]) ).
thf(4675,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3819]) ).
thf(4676,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3821]) ).
thf(4677,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3822]) ).
thf(4678,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3827]) ).
thf(4679,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3830]) ).
thf(4680,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3831]) ).
thf(4681,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3834]) ).
thf(4682,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3835]) ).
thf(4683,plain,
$true = $true,
inference(unfold_def,[status(thm)],[3839]) ).
thf(4684,plain,
( ( ( ~ ( v3_struct_0 @ sK1_A )
& ( v1_group_1 @ sK1_A )
& ( v3_group_1 @ sK1_A )
& ( v4_group_1 @ sK1_A )
& ( l1_group_1 @ sK1_A ) )
=> ! [SY221: $i] :
( ( m1_subset_1 @ SY221 @ ( u1_struct_0 @ sK1_A ) )
=> ( ( k7_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK1_A ) @ ( k6_autgroup @ sK1_A @ ( k3_group_1 @ sK1_A @ SY221 ) ) @ ( k6_autgroup @ sK1_A @ SY221 ) )
= ( k6_autgroup @ sK1_A @ ( k2_group_1 @ sK1_A ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3843]) ).
thf(4685,plain,
( ( ~ ( v3_struct_0 @ sK1_A ) )
= $true ),
inference(standard_cnf,[status(thm)],[4684]) ).
thf(4686,plain,
( ( v1_group_1 @ sK1_A )
= $true ),
inference(standard_cnf,[status(thm)],[4684]) ).
thf(4687,plain,
( ( v3_group_1 @ sK1_A )
= $true ),
inference(standard_cnf,[status(thm)],[4684]) ).
thf(4688,plain,
( ( v4_group_1 @ sK1_A )
= $true ),
inference(standard_cnf,[status(thm)],[4684]) ).
thf(4689,plain,
( ( l1_group_1 @ sK1_A )
= $true ),
inference(standard_cnf,[status(thm)],[4684]) ).
thf(4690,plain,
( ( ! [SY221: $i] :
( ( m1_subset_1 @ SY221 @ ( u1_struct_0 @ sK1_A ) )
=> ( ( k7_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK1_A ) @ ( k6_autgroup @ sK1_A @ ( k3_group_1 @ sK1_A @ SY221 ) ) @ ( k6_autgroup @ sK1_A @ SY221 ) )
= ( k6_autgroup @ sK1_A @ ( k2_group_1 @ sK1_A ) ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[4684]) ).
thf(4691,plain,
( ( ~ ! [SY221: $i] :
( ( m1_subset_1 @ SY221 @ ( u1_struct_0 @ sK1_A ) )
=> ( ( k7_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK1_A ) @ ( k6_autgroup @ sK1_A @ ( k3_group_1 @ sK1_A @ SY221 ) ) @ ( k6_autgroup @ sK1_A @ SY221 ) )
= ( k6_autgroup @ sK1_A @ ( k2_group_1 @ sK1_A ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[4690]) ).
thf(4692,plain,
$true = $true,
inference(copy,[status(thm)],[4683]) ).
thf(4693,plain,
$true = $true,
inference(copy,[status(thm)],[4682]) ).
thf(4694,plain,
$true = $true,
inference(copy,[status(thm)],[4681]) ).
thf(4695,plain,
$true = $true,
inference(copy,[status(thm)],[4680]) ).
thf(4696,plain,
$true = $true,
inference(copy,[status(thm)],[4679]) ).
thf(4697,plain,
$true = $true,
inference(copy,[status(thm)],[4678]) ).
thf(4698,plain,
$true = $true,
inference(copy,[status(thm)],[4677]) ).
thf(4699,plain,
$true = $true,
inference(copy,[status(thm)],[4676]) ).
thf(4700,plain,
$true = $true,
inference(copy,[status(thm)],[4675]) ).
thf(4701,plain,
$true = $true,
inference(copy,[status(thm)],[4674]) ).
thf(4702,plain,
$true = $true,
inference(copy,[status(thm)],[4673]) ).
thf(4703,plain,
$true = $true,
inference(copy,[status(thm)],[4672]) ).
thf(4704,plain,
$true = $true,
inference(copy,[status(thm)],[4671]) ).
thf(4705,plain,
$true = $true,
inference(copy,[status(thm)],[4670]) ).
thf(4706,plain,
$true = $true,
inference(copy,[status(thm)],[4669]) ).
thf(4707,plain,
$true = $true,
inference(copy,[status(thm)],[4668]) ).
thf(4708,plain,
$true = $true,
inference(copy,[status(thm)],[4667]) ).
thf(4709,plain,
$true = $true,
inference(copy,[status(thm)],[4666]) ).
thf(4710,plain,
$true = $true,
inference(copy,[status(thm)],[4665]) ).
thf(4711,plain,
$true = $true,
inference(copy,[status(thm)],[4664]) ).
thf(4712,plain,
$true = $true,
inference(copy,[status(thm)],[4663]) ).
thf(4713,plain,
$true = $true,
inference(copy,[status(thm)],[4662]) ).
thf(4714,plain,
$true = $true,
inference(copy,[status(thm)],[4661]) ).
thf(4715,plain,
$true = $true,
inference(copy,[status(thm)],[4660]) ).
thf(4716,plain,
$true = $true,
inference(copy,[status(thm)],[4659]) ).
thf(4717,plain,
$true = $true,
inference(copy,[status(thm)],[4658]) ).
thf(4718,plain,
$true = $true,
inference(copy,[status(thm)],[4657]) ).
thf(4719,plain,
$true = $true,
inference(copy,[status(thm)],[4656]) ).
thf(4720,plain,
$true = $true,
inference(copy,[status(thm)],[4655]) ).
thf(4721,plain,
$true = $true,
inference(copy,[status(thm)],[4654]) ).
thf(4722,plain,
$true = $true,
inference(copy,[status(thm)],[4653]) ).
thf(4723,plain,
$true = $true,
inference(copy,[status(thm)],[4652]) ).
thf(4724,plain,
$true = $true,
inference(copy,[status(thm)],[4651]) ).
thf(4725,plain,
$true = $true,
inference(copy,[status(thm)],[4650]) ).
thf(4726,plain,
$true = $true,
inference(copy,[status(thm)],[4649]) ).
thf(4727,plain,
$true = $true,
inference(copy,[status(thm)],[4648]) ).
thf(4728,plain,
$true = $true,
inference(copy,[status(thm)],[4647]) ).
thf(4729,plain,
$true = $true,
inference(copy,[status(thm)],[4646]) ).
thf(4730,plain,
$true = $true,
inference(copy,[status(thm)],[4645]) ).
thf(4731,plain,
$true = $true,
inference(copy,[status(thm)],[4644]) ).
thf(4732,plain,
$true = $true,
inference(copy,[status(thm)],[4643]) ).
thf(4733,plain,
$true = $true,
inference(copy,[status(thm)],[4642]) ).
thf(4734,plain,
$true = $true,
inference(copy,[status(thm)],[4641]) ).
thf(4735,plain,
$true = $true,
inference(copy,[status(thm)],[4640]) ).
thf(4736,plain,
$true = $true,
inference(copy,[status(thm)],[4639]) ).
thf(4737,plain,
$true = $true,
inference(copy,[status(thm)],[4638]) ).
thf(4738,plain,
$true = $true,
inference(copy,[status(thm)],[4637]) ).
thf(4739,plain,
$true = $true,
inference(copy,[status(thm)],[4636]) ).
thf(4740,plain,
$true = $true,
inference(copy,[status(thm)],[4635]) ).
thf(4741,plain,
$true = $true,
inference(copy,[status(thm)],[4634]) ).
thf(4742,plain,
$true = $true,
inference(copy,[status(thm)],[4633]) ).
thf(4743,plain,
$true = $true,
inference(copy,[status(thm)],[4632]) ).
thf(4744,plain,
$true = $true,
inference(copy,[status(thm)],[4631]) ).
thf(4745,plain,
$true = $true,
inference(copy,[status(thm)],[4630]) ).
thf(4746,plain,
$true = $true,
inference(copy,[status(thm)],[4629]) ).
thf(4747,plain,
$true = $true,
inference(copy,[status(thm)],[4628]) ).
thf(4748,plain,
( ( ! [A: $i] :
( ~ $true
=> ! [B: $i] :
( ( m1_subset_1 @ B @ A )
=> ( B
= ( k8_subset_1 @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[4627]) ).
thf(4749,plain,
$true = $true,
inference(copy,[status(thm)],[4626]) ).
thf(4750,plain,
( ( ! [A: $i] :
? [B: $i] : ( m1_subset_1 @ B @ A ) )
= $true ),
inference(copy,[status(thm)],[4625]) ).
thf(4751,plain,
( ( ! [A: $i] : ( m1_subset_1 @ ( k8_subset_1 @ A ) @ A ) )
= $true ),
inference(copy,[status(thm)],[4624]) ).
thf(4752,plain,
( ( ! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ( m1_subset_1 @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[4623]) ).
thf(4753,plain,
$true = $true,
inference(copy,[status(thm)],[4622]) ).
thf(4754,plain,
$true = $true,
inference(copy,[status(thm)],[4621]) ).
thf(4755,plain,
$true = $true,
inference(copy,[status(thm)],[4620]) ).
thf(4756,plain,
$true = $true,
inference(copy,[status(thm)],[4619]) ).
thf(4757,plain,
$true = $true,
inference(copy,[status(thm)],[4618]) ).
thf(4758,plain,
$true = $true,
inference(copy,[status(thm)],[4617]) ).
thf(4759,plain,
$true = $true,
inference(copy,[status(thm)],[4616]) ).
thf(4760,plain,
$true = $true,
inference(copy,[status(thm)],[4615]) ).
thf(4761,plain,
$true = $true,
inference(copy,[status(thm)],[4614]) ).
thf(4762,plain,
$true = $true,
inference(copy,[status(thm)],[4613]) ).
thf(4763,plain,
$true = $true,
inference(copy,[status(thm)],[4612]) ).
thf(4764,plain,
$true = $true,
inference(copy,[status(thm)],[4611]) ).
thf(4765,plain,
$true = $true,
inference(copy,[status(thm)],[4610]) ).
thf(4766,plain,
$true = $true,
inference(copy,[status(thm)],[4609]) ).
thf(4767,plain,
$true = $true,
inference(copy,[status(thm)],[4608]) ).
thf(4768,plain,
$true = $true,
inference(copy,[status(thm)],[4607]) ).
thf(4769,plain,
$true = $true,
inference(copy,[status(thm)],[4606]) ).
thf(4770,plain,
$true = $true,
inference(copy,[status(thm)],[4605]) ).
thf(4771,plain,
$true = $true,
inference(copy,[status(thm)],[4604]) ).
thf(4772,plain,
$true = $true,
inference(copy,[status(thm)],[4603]) ).
thf(4773,plain,
$true = $true,
inference(copy,[status(thm)],[4602]) ).
thf(4774,plain,
$true = $true,
inference(copy,[status(thm)],[4601]) ).
thf(4775,plain,
$true = $true,
inference(copy,[status(thm)],[4600]) ).
thf(4776,plain,
$true = $true,
inference(copy,[status(thm)],[4599]) ).
thf(4777,plain,
$true = $true,
inference(copy,[status(thm)],[4598]) ).
thf(4778,plain,
$true = $true,
inference(copy,[status(thm)],[4597]) ).
thf(4779,plain,
$true = $true,
inference(copy,[status(thm)],[4596]) ).
thf(4780,plain,
$true = $true,
inference(copy,[status(thm)],[4595]) ).
thf(4781,plain,
$true = $true,
inference(copy,[status(thm)],[4594]) ).
thf(4782,plain,
$true = $true,
inference(copy,[status(thm)],[4593]) ).
thf(4783,plain,
$true = $true,
inference(copy,[status(thm)],[4592]) ).
thf(4784,plain,
$true = $true,
inference(copy,[status(thm)],[4591]) ).
thf(4785,plain,
$true = $true,
inference(copy,[status(thm)],[4590]) ).
thf(4786,plain,
$true = $true,
inference(copy,[status(thm)],[4589]) ).
thf(4787,plain,
$true = $true,
inference(copy,[status(thm)],[4588]) ).
thf(4788,plain,
$true = $true,
inference(copy,[status(thm)],[4587]) ).
thf(4789,plain,
$true = $true,
inference(copy,[status(thm)],[4586]) ).
thf(4790,plain,
$true = $true,
inference(copy,[status(thm)],[4585]) ).
thf(4791,plain,
$true = $true,
inference(copy,[status(thm)],[4584]) ).
thf(4792,plain,
$true = $true,
inference(copy,[status(thm)],[4583]) ).
thf(4793,plain,
$true = $true,
inference(copy,[status(thm)],[4582]) ).
thf(4794,plain,
$true = $true,
inference(copy,[status(thm)],[4581]) ).
thf(4795,plain,
$true = $true,
inference(copy,[status(thm)],[4580]) ).
thf(4796,plain,
$true = $true,
inference(copy,[status(thm)],[4579]) ).
thf(4797,plain,
$true = $true,
inference(copy,[status(thm)],[4578]) ).
thf(4798,plain,
$true = $true,
inference(copy,[status(thm)],[4577]) ).
thf(4799,plain,
$true = $true,
inference(copy,[status(thm)],[4576]) ).
thf(4800,plain,
$true = $true,
inference(copy,[status(thm)],[4575]) ).
thf(4801,plain,
$true = $true,
inference(copy,[status(thm)],[4574]) ).
thf(4802,plain,
$true = $true,
inference(copy,[status(thm)],[4573]) ).
thf(4803,plain,
$true = $true,
inference(copy,[status(thm)],[4572]) ).
thf(4804,plain,
$true = $true,
inference(copy,[status(thm)],[4571]) ).
thf(4805,plain,
$true = $true,
inference(copy,[status(thm)],[4570]) ).
thf(4806,plain,
$true = $true,
inference(copy,[status(thm)],[4569]) ).
thf(4807,plain,
$true = $true,
inference(copy,[status(thm)],[4568]) ).
thf(4808,plain,
$true = $true,
inference(copy,[status(thm)],[4567]) ).
thf(4809,plain,
$true = $true,
inference(copy,[status(thm)],[4566]) ).
thf(4810,plain,
$true = $true,
inference(copy,[status(thm)],[4565]) ).
thf(4811,plain,
$true = $true,
inference(copy,[status(thm)],[4564]) ).
thf(4812,plain,
$true = $true,
inference(copy,[status(thm)],[4563]) ).
thf(4813,plain,
$true = $true,
inference(copy,[status(thm)],[4562]) ).
thf(4814,plain,
$true = $true,
inference(copy,[status(thm)],[4561]) ).
thf(4815,plain,
$true = $true,
inference(copy,[status(thm)],[4560]) ).
thf(4816,plain,
$true = $true,
inference(copy,[status(thm)],[4559]) ).
thf(4817,plain,
$true = $true,
inference(copy,[status(thm)],[4558]) ).
thf(4818,plain,
$true = $true,
inference(copy,[status(thm)],[4557]) ).
thf(4819,plain,
$true = $true,
inference(copy,[status(thm)],[4556]) ).
thf(4820,plain,
$true = $true,
inference(copy,[status(thm)],[4555]) ).
thf(4821,plain,
$true = $true,
inference(copy,[status(thm)],[4554]) ).
thf(4822,plain,
$true = $true,
inference(copy,[status(thm)],[4553]) ).
thf(4823,plain,
$true = $true,
inference(copy,[status(thm)],[4552]) ).
thf(4824,plain,
$true = $true,
inference(copy,[status(thm)],[4551]) ).
thf(4825,plain,
$true = $true,
inference(copy,[status(thm)],[4550]) ).
thf(4826,plain,
$true = $true,
inference(copy,[status(thm)],[4549]) ).
thf(4827,plain,
$true = $true,
inference(copy,[status(thm)],[4548]) ).
thf(4828,plain,
$true = $true,
inference(copy,[status(thm)],[4547]) ).
thf(4829,plain,
$true = $true,
inference(copy,[status(thm)],[4546]) ).
thf(4830,plain,
$true = $true,
inference(copy,[status(thm)],[4545]) ).
thf(4831,plain,
$true = $true,
inference(copy,[status(thm)],[4544]) ).
thf(4832,plain,
$true = $true,
inference(copy,[status(thm)],[4543]) ).
thf(4833,plain,
$true = $true,
inference(copy,[status(thm)],[4542]) ).
thf(4834,plain,
$true = $true,
inference(copy,[status(thm)],[4541]) ).
thf(4835,plain,
$true = $true,
inference(copy,[status(thm)],[4540]) ).
thf(4836,plain,
$true = $true,
inference(copy,[status(thm)],[4539]) ).
thf(4837,plain,
$true = $true,
inference(copy,[status(thm)],[4538]) ).
thf(4838,plain,
$true = $true,
inference(copy,[status(thm)],[4537]) ).
thf(4839,plain,
$true = $true,
inference(copy,[status(thm)],[4536]) ).
thf(4840,plain,
$true = $true,
inference(copy,[status(thm)],[4535]) ).
thf(4841,plain,
$true = $true,
inference(copy,[status(thm)],[4534]) ).
thf(4842,plain,
$true = $true,
inference(copy,[status(thm)],[4533]) ).
thf(4843,plain,
$true = $true,
inference(copy,[status(thm)],[4532]) ).
thf(4844,plain,
$true = $true,
inference(copy,[status(thm)],[4531]) ).
thf(4845,plain,
$true = $true,
inference(copy,[status(thm)],[4530]) ).
thf(4846,plain,
$true = $true,
inference(copy,[status(thm)],[4529]) ).
thf(4847,plain,
$true = $true,
inference(copy,[status(thm)],[4528]) ).
thf(4848,plain,
$true = $true,
inference(copy,[status(thm)],[4527]) ).
thf(4849,plain,
$true = $true,
inference(copy,[status(thm)],[4526]) ).
thf(4850,plain,
$true = $true,
inference(copy,[status(thm)],[4525]) ).
thf(4851,plain,
$true = $true,
inference(copy,[status(thm)],[4524]) ).
thf(4852,plain,
$true = $true,
inference(copy,[status(thm)],[4523]) ).
thf(4853,plain,
$true = $true,
inference(copy,[status(thm)],[4522]) ).
thf(4854,plain,
$true = $true,
inference(copy,[status(thm)],[4521]) ).
thf(4855,plain,
$true = $true,
inference(copy,[status(thm)],[4520]) ).
thf(4856,plain,
$true = $true,
inference(copy,[status(thm)],[4519]) ).
thf(4857,plain,
$true = $true,
inference(copy,[status(thm)],[4518]) ).
thf(4858,plain,
$true = $true,
inference(copy,[status(thm)],[4517]) ).
thf(4859,plain,
$true = $true,
inference(copy,[status(thm)],[4516]) ).
thf(4860,plain,
$true = $true,
inference(copy,[status(thm)],[4515]) ).
thf(4861,plain,
$true = $true,
inference(copy,[status(thm)],[4514]) ).
thf(4862,plain,
$true = $true,
inference(copy,[status(thm)],[4513]) ).
thf(4863,plain,
$true = $true,
inference(copy,[status(thm)],[4512]) ).
thf(4864,plain,
$true = $true,
inference(copy,[status(thm)],[4511]) ).
thf(4865,plain,
$true = $true,
inference(copy,[status(thm)],[4510]) ).
thf(4866,plain,
$true = $true,
inference(copy,[status(thm)],[4509]) ).
thf(4867,plain,
$true = $true,
inference(copy,[status(thm)],[4508]) ).
thf(4868,plain,
$true = $true,
inference(copy,[status(thm)],[4507]) ).
thf(4869,plain,
$true = $true,
inference(copy,[status(thm)],[4506]) ).
thf(4870,plain,
$true = $true,
inference(copy,[status(thm)],[4505]) ).
thf(4871,plain,
$true = $true,
inference(copy,[status(thm)],[4504]) ).
thf(4872,plain,
$true = $true,
inference(copy,[status(thm)],[4503]) ).
thf(4873,plain,
$true = $true,
inference(copy,[status(thm)],[4502]) ).
thf(4874,plain,
$true = $true,
inference(copy,[status(thm)],[4501]) ).
thf(4875,plain,
$true = $true,
inference(copy,[status(thm)],[4500]) ).
thf(4876,plain,
$true = $true,
inference(copy,[status(thm)],[4499]) ).
thf(4877,plain,
$true = $true,
inference(copy,[status(thm)],[4498]) ).
thf(4878,plain,
$true = $true,
inference(copy,[status(thm)],[4497]) ).
thf(4879,plain,
$true = $true,
inference(copy,[status(thm)],[4496]) ).
thf(4880,plain,
$true = $true,
inference(copy,[status(thm)],[4495]) ).
thf(4881,plain,
$true = $true,
inference(copy,[status(thm)],[4494]) ).
thf(4882,plain,
$true = $true,
inference(copy,[status(thm)],[4493]) ).
thf(4883,plain,
$true = $true,
inference(copy,[status(thm)],[4492]) ).
thf(4884,plain,
$true = $true,
inference(copy,[status(thm)],[4491]) ).
thf(4885,plain,
$true = $true,
inference(copy,[status(thm)],[4490]) ).
thf(4886,plain,
$true = $true,
inference(copy,[status(thm)],[4489]) ).
thf(4887,plain,
$true = $true,
inference(copy,[status(thm)],[4488]) ).
thf(4888,plain,
$true = $true,
inference(copy,[status(thm)],[4487]) ).
thf(4889,plain,
$true = $true,
inference(copy,[status(thm)],[4486]) ).
thf(4890,plain,
$true = $true,
inference(copy,[status(thm)],[4485]) ).
thf(4891,plain,
$true = $true,
inference(copy,[status(thm)],[4484]) ).
thf(4892,plain,
$true = $true,
inference(copy,[status(thm)],[4483]) ).
thf(4893,plain,
$true = $true,
inference(copy,[status(thm)],[4482]) ).
thf(4894,plain,
$true = $true,
inference(copy,[status(thm)],[4481]) ).
thf(4895,plain,
$true = $true,
inference(copy,[status(thm)],[4480]) ).
thf(4896,plain,
$true = $true,
inference(copy,[status(thm)],[4479]) ).
thf(4897,plain,
$true = $true,
inference(copy,[status(thm)],[4478]) ).
thf(4898,plain,
$true = $true,
inference(copy,[status(thm)],[4477]) ).
thf(4899,plain,
$true = $true,
inference(copy,[status(thm)],[4476]) ).
thf(4900,plain,
$true = $true,
inference(copy,[status(thm)],[4475]) ).
thf(4901,plain,
$true = $true,
inference(copy,[status(thm)],[4474]) ).
thf(4902,plain,
$true = $true,
inference(copy,[status(thm)],[4473]) ).
thf(4903,plain,
$true = $true,
inference(copy,[status(thm)],[4472]) ).
thf(4904,plain,
$true = $true,
inference(copy,[status(thm)],[4471]) ).
thf(4905,plain,
$true = $true,
inference(copy,[status(thm)],[4470]) ).
thf(4906,plain,
$true = $true,
inference(copy,[status(thm)],[4469]) ).
thf(4907,plain,
$true = $true,
inference(copy,[status(thm)],[4468]) ).
thf(4908,plain,
$true = $true,
inference(copy,[status(thm)],[4467]) ).
thf(4909,plain,
$true = $true,
inference(copy,[status(thm)],[4466]) ).
thf(4910,plain,
$true = $true,
inference(copy,[status(thm)],[4465]) ).
thf(4911,plain,
$true = $true,
inference(copy,[status(thm)],[4464]) ).
thf(4912,plain,
$true = $true,
inference(copy,[status(thm)],[4463]) ).
thf(4913,plain,
$true = $true,
inference(copy,[status(thm)],[4462]) ).
thf(4914,plain,
$true = $true,
inference(copy,[status(thm)],[4461]) ).
thf(4915,plain,
$true = $true,
inference(copy,[status(thm)],[4460]) ).
thf(4916,plain,
$true = $true,
inference(copy,[status(thm)],[4459]) ).
thf(4917,plain,
$true = $true,
inference(copy,[status(thm)],[4458]) ).
thf(4918,plain,
$true = $true,
inference(copy,[status(thm)],[4457]) ).
thf(4919,plain,
$true = $true,
inference(copy,[status(thm)],[4456]) ).
thf(4920,plain,
$true = $true,
inference(copy,[status(thm)],[4455]) ).
thf(4921,plain,
$true = $true,
inference(copy,[status(thm)],[4454]) ).
thf(4922,plain,
$true = $true,
inference(copy,[status(thm)],[4453]) ).
thf(4923,plain,
$true = $true,
inference(copy,[status(thm)],[4452]) ).
thf(4924,plain,
$true = $true,
inference(copy,[status(thm)],[4451]) ).
thf(4925,plain,
$true = $true,
inference(copy,[status(thm)],[4450]) ).
thf(4926,plain,
$true = $true,
inference(copy,[status(thm)],[4449]) ).
thf(4927,plain,
$true = $true,
inference(copy,[status(thm)],[4448]) ).
thf(4928,plain,
$true = $true,
inference(copy,[status(thm)],[4447]) ).
thf(4929,plain,
$true = $true,
inference(copy,[status(thm)],[4446]) ).
thf(4930,plain,
$true = $true,
inference(copy,[status(thm)],[4445]) ).
thf(4931,plain,
$true = $true,
inference(copy,[status(thm)],[4444]) ).
thf(4932,plain,
$true = $true,
inference(copy,[status(thm)],[4443]) ).
thf(4933,plain,
$true = $true,
inference(copy,[status(thm)],[4442]) ).
thf(4934,plain,
$true = $true,
inference(copy,[status(thm)],[4441]) ).
thf(4935,plain,
$true = $true,
inference(copy,[status(thm)],[4440]) ).
thf(4936,plain,
$true = $true,
inference(copy,[status(thm)],[4439]) ).
thf(4937,plain,
$true = $true,
inference(copy,[status(thm)],[4438]) ).
thf(4938,plain,
$true = $true,
inference(copy,[status(thm)],[4437]) ).
thf(4939,plain,
$true = $true,
inference(copy,[status(thm)],[4436]) ).
thf(4940,plain,
$true = $true,
inference(copy,[status(thm)],[4435]) ).
thf(4941,plain,
$true = $true,
inference(copy,[status(thm)],[4434]) ).
thf(4942,plain,
$true = $true,
inference(copy,[status(thm)],[4433]) ).
thf(4943,plain,
$true = $true,
inference(copy,[status(thm)],[4432]) ).
thf(4944,plain,
$true = $true,
inference(copy,[status(thm)],[4431]) ).
thf(4945,plain,
$true = $true,
inference(copy,[status(thm)],[4430]) ).
thf(4946,plain,
$true = $true,
inference(copy,[status(thm)],[4429]) ).
thf(4947,plain,
$true = $true,
inference(copy,[status(thm)],[4428]) ).
thf(4948,plain,
$true = $true,
inference(copy,[status(thm)],[4427]) ).
thf(4949,plain,
$true = $true,
inference(copy,[status(thm)],[4426]) ).
thf(4950,plain,
$true = $true,
inference(copy,[status(thm)],[4425]) ).
thf(4951,plain,
$true = $true,
inference(copy,[status(thm)],[4424]) ).
thf(4952,plain,
$true = $true,
inference(copy,[status(thm)],[4423]) ).
thf(4953,plain,
$true = $true,
inference(copy,[status(thm)],[4422]) ).
thf(4954,plain,
$true = $true,
inference(copy,[status(thm)],[4421]) ).
thf(4955,plain,
$true = $true,
inference(copy,[status(thm)],[4420]) ).
thf(4956,plain,
$true = $true,
inference(copy,[status(thm)],[4419]) ).
thf(4957,plain,
$true = $true,
inference(copy,[status(thm)],[4418]) ).
thf(4958,plain,
$true = $true,
inference(copy,[status(thm)],[4417]) ).
thf(4959,plain,
$true = $true,
inference(copy,[status(thm)],[4416]) ).
thf(4960,plain,
$true = $true,
inference(copy,[status(thm)],[4415]) ).
thf(4961,plain,
$true = $true,
inference(copy,[status(thm)],[4414]) ).
thf(4962,plain,
$true = $true,
inference(copy,[status(thm)],[4413]) ).
thf(4963,plain,
$true = $true,
inference(copy,[status(thm)],[4412]) ).
thf(4964,plain,
$true = $true,
inference(copy,[status(thm)],[4411]) ).
thf(4965,plain,
$true = $true,
inference(copy,[status(thm)],[4410]) ).
thf(4966,plain,
$true = $true,
inference(copy,[status(thm)],[4409]) ).
thf(4967,plain,
$true = $true,
inference(copy,[status(thm)],[4408]) ).
thf(4968,plain,
$true = $true,
inference(copy,[status(thm)],[4407]) ).
thf(4969,plain,
$true = $true,
inference(copy,[status(thm)],[4406]) ).
thf(4970,plain,
$true = $true,
inference(copy,[status(thm)],[4405]) ).
thf(4971,plain,
$true = $true,
inference(copy,[status(thm)],[4404]) ).
thf(4972,plain,
$true = $true,
inference(copy,[status(thm)],[4403]) ).
thf(4973,plain,
$true = $true,
inference(copy,[status(thm)],[4402]) ).
thf(4974,plain,
$true = $true,
inference(copy,[status(thm)],[4401]) ).
thf(4975,plain,
$true = $true,
inference(copy,[status(thm)],[4400]) ).
thf(4976,plain,
$true = $true,
inference(copy,[status(thm)],[4399]) ).
thf(4977,plain,
$true = $true,
inference(copy,[status(thm)],[4398]) ).
thf(4978,plain,
$true = $true,
inference(copy,[status(thm)],[4397]) ).
thf(4979,plain,
$true = $true,
inference(copy,[status(thm)],[4396]) ).
thf(4980,plain,
$true = $true,
inference(copy,[status(thm)],[4395]) ).
thf(4981,plain,
$true = $true,
inference(copy,[status(thm)],[4394]) ).
thf(4982,plain,
$true = $true,
inference(copy,[status(thm)],[4393]) ).
thf(4983,plain,
$true = $true,
inference(copy,[status(thm)],[4392]) ).
thf(4984,plain,
$true = $true,
inference(copy,[status(thm)],[4391]) ).
thf(4985,plain,
$true = $true,
inference(copy,[status(thm)],[4390]) ).
thf(4986,plain,
$true = $true,
inference(copy,[status(thm)],[4389]) ).
thf(4987,plain,
$true = $true,
inference(copy,[status(thm)],[4388]) ).
thf(4988,plain,
$true = $true,
inference(copy,[status(thm)],[4387]) ).
thf(4989,plain,
$true = $true,
inference(copy,[status(thm)],[4386]) ).
thf(4990,plain,
$true = $true,
inference(copy,[status(thm)],[4385]) ).
thf(4991,plain,
$true = $true,
inference(copy,[status(thm)],[4384]) ).
thf(4992,plain,
$true = $true,
inference(copy,[status(thm)],[4383]) ).
thf(4993,plain,
$true = $true,
inference(copy,[status(thm)],[4382]) ).
thf(4994,plain,
$true = $true,
inference(copy,[status(thm)],[4381]) ).
thf(4995,plain,
$true = $true,
inference(copy,[status(thm)],[4380]) ).
thf(4996,plain,
$true = $true,
inference(copy,[status(thm)],[4379]) ).
thf(4997,plain,
$true = $true,
inference(copy,[status(thm)],[4378]) ).
thf(4998,plain,
$true = $true,
inference(copy,[status(thm)],[4377]) ).
thf(4999,plain,
$true = $true,
inference(copy,[status(thm)],[4376]) ).
thf(5000,plain,
$true = $true,
inference(copy,[status(thm)],[4375]) ).
thf(5001,plain,
$true = $true,
inference(copy,[status(thm)],[4374]) ).
thf(5002,plain,
$true = $true,
inference(copy,[status(thm)],[4373]) ).
thf(5003,plain,
$true = $true,
inference(copy,[status(thm)],[4372]) ).
thf(5004,plain,
$true = $true,
inference(copy,[status(thm)],[4371]) ).
thf(5005,plain,
$true = $true,
inference(copy,[status(thm)],[4370]) ).
thf(5006,plain,
$true = $true,
inference(copy,[status(thm)],[4369]) ).
thf(5007,plain,
$true = $true,
inference(copy,[status(thm)],[4368]) ).
thf(5008,plain,
$true = $true,
inference(copy,[status(thm)],[4367]) ).
thf(5009,plain,
$true = $true,
inference(copy,[status(thm)],[4366]) ).
thf(5010,plain,
$true = $true,
inference(copy,[status(thm)],[4365]) ).
thf(5011,plain,
$true = $true,
inference(copy,[status(thm)],[4364]) ).
thf(5012,plain,
$true = $true,
inference(copy,[status(thm)],[4363]) ).
thf(5013,plain,
$true = $true,
inference(copy,[status(thm)],[4362]) ).
thf(5014,plain,
$true = $true,
inference(copy,[status(thm)],[4361]) ).
thf(5015,plain,
$true = $true,
inference(copy,[status(thm)],[4360]) ).
thf(5016,plain,
$true = $true,
inference(copy,[status(thm)],[4359]) ).
thf(5017,plain,
$true = $true,
inference(copy,[status(thm)],[4358]) ).
thf(5018,plain,
$true = $true,
inference(copy,[status(thm)],[4357]) ).
thf(5019,plain,
$true = $true,
inference(copy,[status(thm)],[4356]) ).
thf(5020,plain,
$true = $true,
inference(copy,[status(thm)],[4355]) ).
thf(5021,plain,
$true = $true,
inference(copy,[status(thm)],[4354]) ).
thf(5022,plain,
$true = $true,
inference(copy,[status(thm)],[4353]) ).
thf(5023,plain,
$true = $true,
inference(copy,[status(thm)],[4352]) ).
thf(5024,plain,
$true = $true,
inference(copy,[status(thm)],[4351]) ).
thf(5025,plain,
$true = $true,
inference(copy,[status(thm)],[4350]) ).
thf(5026,plain,
$true = $true,
inference(copy,[status(thm)],[4349]) ).
thf(5027,plain,
$true = $true,
inference(copy,[status(thm)],[4348]) ).
thf(5028,plain,
$true = $true,
inference(copy,[status(thm)],[4347]) ).
thf(5029,plain,
$true = $true,
inference(copy,[status(thm)],[4346]) ).
thf(5030,plain,
$true = $true,
inference(copy,[status(thm)],[4345]) ).
thf(5031,plain,
$true = $true,
inference(copy,[status(thm)],[4344]) ).
thf(5032,plain,
$true = $true,
inference(copy,[status(thm)],[4343]) ).
thf(5033,plain,
$true = $true,
inference(copy,[status(thm)],[4342]) ).
thf(5034,plain,
$true = $true,
inference(copy,[status(thm)],[4341]) ).
thf(5035,plain,
$true = $true,
inference(copy,[status(thm)],[4340]) ).
thf(5036,plain,
$true = $true,
inference(copy,[status(thm)],[4339]) ).
thf(5037,plain,
$true = $true,
inference(copy,[status(thm)],[4338]) ).
thf(5038,plain,
$true = $true,
inference(copy,[status(thm)],[4337]) ).
thf(5039,plain,
$true = $true,
inference(copy,[status(thm)],[4336]) ).
thf(5040,plain,
$true = $true,
inference(copy,[status(thm)],[4335]) ).
thf(5041,plain,
$true = $true,
inference(copy,[status(thm)],[4334]) ).
thf(5042,plain,
$true = $true,
inference(copy,[status(thm)],[4333]) ).
thf(5043,plain,
$true = $true,
inference(copy,[status(thm)],[4332]) ).
thf(5044,plain,
$true = $true,
inference(copy,[status(thm)],[4331]) ).
thf(5045,plain,
$true = $true,
inference(copy,[status(thm)],[4330]) ).
thf(5046,plain,
$true = $true,
inference(copy,[status(thm)],[4329]) ).
thf(5047,plain,
$true = $true,
inference(copy,[status(thm)],[4328]) ).
thf(5048,plain,
$true = $true,
inference(copy,[status(thm)],[4327]) ).
thf(5049,plain,
$true = $true,
inference(copy,[status(thm)],[4326]) ).
thf(5050,plain,
$true = $true,
inference(copy,[status(thm)],[4325]) ).
thf(5051,plain,
$true = $true,
inference(copy,[status(thm)],[4324]) ).
thf(5052,plain,
$true = $true,
inference(copy,[status(thm)],[4323]) ).
thf(5053,plain,
$true = $true,
inference(copy,[status(thm)],[4322]) ).
thf(5054,plain,
$true = $true,
inference(copy,[status(thm)],[4321]) ).
thf(5055,plain,
$true = $true,
inference(copy,[status(thm)],[4320]) ).
thf(5056,plain,
$true = $true,
inference(copy,[status(thm)],[4319]) ).
thf(5057,plain,
$true = $true,
inference(copy,[status(thm)],[4318]) ).
thf(5058,plain,
$true = $true,
inference(copy,[status(thm)],[4317]) ).
thf(5059,plain,
$true = $true,
inference(copy,[status(thm)],[4316]) ).
thf(5060,plain,
$true = $true,
inference(copy,[status(thm)],[4315]) ).
thf(5061,plain,
$true = $true,
inference(copy,[status(thm)],[4314]) ).
thf(5062,plain,
$true = $true,
inference(copy,[status(thm)],[4313]) ).
thf(5063,plain,
$true = $true,
inference(copy,[status(thm)],[4312]) ).
thf(5064,plain,
$true = $true,
inference(copy,[status(thm)],[4311]) ).
thf(5065,plain,
$true = $true,
inference(copy,[status(thm)],[4310]) ).
thf(5066,plain,
$true = $true,
inference(copy,[status(thm)],[4309]) ).
thf(5067,plain,
$true = $true,
inference(copy,[status(thm)],[4308]) ).
thf(5068,plain,
$true = $true,
inference(copy,[status(thm)],[4307]) ).
thf(5069,plain,
$true = $true,
inference(copy,[status(thm)],[4306]) ).
thf(5070,plain,
$true = $true,
inference(copy,[status(thm)],[4305]) ).
thf(5071,plain,
$true = $true,
inference(copy,[status(thm)],[4304]) ).
thf(5072,plain,
$true = $true,
inference(copy,[status(thm)],[4303]) ).
thf(5073,plain,
$true = $true,
inference(copy,[status(thm)],[4302]) ).
thf(5074,plain,
$true = $true,
inference(copy,[status(thm)],[4301]) ).
thf(5075,plain,
$true = $true,
inference(copy,[status(thm)],[4300]) ).
thf(5076,plain,
$true = $true,
inference(copy,[status(thm)],[4299]) ).
thf(5077,plain,
$true = $true,
inference(copy,[status(thm)],[4298]) ).
thf(5078,plain,
$true = $true,
inference(copy,[status(thm)],[4297]) ).
thf(5079,plain,
$true = $true,
inference(copy,[status(thm)],[4296]) ).
thf(5080,plain,
$true = $true,
inference(copy,[status(thm)],[4295]) ).
thf(5081,plain,
$true = $true,
inference(copy,[status(thm)],[4294]) ).
thf(5082,plain,
$true = $true,
inference(copy,[status(thm)],[4293]) ).
thf(5083,plain,
$true = $true,
inference(copy,[status(thm)],[4292]) ).
thf(5084,plain,
$true = $true,
inference(copy,[status(thm)],[4291]) ).
thf(5085,plain,
$true = $true,
inference(copy,[status(thm)],[4290]) ).
thf(5086,plain,
$true = $true,
inference(copy,[status(thm)],[4289]) ).
thf(5087,plain,
$true = $true,
inference(copy,[status(thm)],[4288]) ).
thf(5088,plain,
$true = $true,
inference(copy,[status(thm)],[4287]) ).
thf(5089,plain,
$true = $true,
inference(copy,[status(thm)],[4286]) ).
thf(5090,plain,
$true = $true,
inference(copy,[status(thm)],[4285]) ).
thf(5091,plain,
$true = $true,
inference(copy,[status(thm)],[4284]) ).
thf(5092,plain,
$true = $true,
inference(copy,[status(thm)],[4283]) ).
thf(5093,plain,
$true = $true,
inference(copy,[status(thm)],[4282]) ).
thf(5094,plain,
$true = $true,
inference(copy,[status(thm)],[4281]) ).
thf(5095,plain,
$true = $true,
inference(copy,[status(thm)],[4280]) ).
thf(5096,plain,
$true = $true,
inference(copy,[status(thm)],[4279]) ).
thf(5097,plain,
$true = $true,
inference(copy,[status(thm)],[4278]) ).
thf(5098,plain,
$true = $true,
inference(copy,[status(thm)],[4277]) ).
thf(5099,plain,
$true = $true,
inference(copy,[status(thm)],[4276]) ).
thf(5100,plain,
$true = $true,
inference(copy,[status(thm)],[4275]) ).
thf(5101,plain,
$true = $true,
inference(copy,[status(thm)],[4274]) ).
thf(5102,plain,
$true = $true,
inference(copy,[status(thm)],[4273]) ).
thf(5103,plain,
$true = $true,
inference(copy,[status(thm)],[4272]) ).
thf(5104,plain,
$true = $true,
inference(copy,[status(thm)],[4271]) ).
thf(5105,plain,
$true = $true,
inference(copy,[status(thm)],[4270]) ).
thf(5106,plain,
$true = $true,
inference(copy,[status(thm)],[4269]) ).
thf(5107,plain,
$true = $true,
inference(copy,[status(thm)],[4268]) ).
thf(5108,plain,
$true = $true,
inference(copy,[status(thm)],[4267]) ).
thf(5109,plain,
$true = $true,
inference(copy,[status(thm)],[4266]) ).
thf(5110,plain,
$true = $true,
inference(copy,[status(thm)],[4265]) ).
thf(5111,plain,
$true = $true,
inference(copy,[status(thm)],[4264]) ).
thf(5112,plain,
$true = $true,
inference(copy,[status(thm)],[4263]) ).
thf(5113,plain,
$true = $true,
inference(copy,[status(thm)],[4262]) ).
thf(5114,plain,
$true = $true,
inference(copy,[status(thm)],[4261]) ).
thf(5115,plain,
$true = $true,
inference(copy,[status(thm)],[4260]) ).
thf(5116,plain,
$true = $true,
inference(copy,[status(thm)],[4259]) ).
thf(5117,plain,
$true = $true,
inference(copy,[status(thm)],[4258]) ).
thf(5118,plain,
$true = $true,
inference(copy,[status(thm)],[4257]) ).
thf(5119,plain,
$true = $true,
inference(copy,[status(thm)],[4256]) ).
thf(5120,plain,
$true = $true,
inference(copy,[status(thm)],[4255]) ).
thf(5121,plain,
$true = $true,
inference(copy,[status(thm)],[4254]) ).
thf(5122,plain,
$true = $true,
inference(copy,[status(thm)],[4253]) ).
thf(5123,plain,
$true = $true,
inference(copy,[status(thm)],[4252]) ).
thf(5124,plain,
$true = $true,
inference(copy,[status(thm)],[4251]) ).
thf(5125,plain,
$true = $true,
inference(copy,[status(thm)],[4250]) ).
thf(5126,plain,
$true = $true,
inference(copy,[status(thm)],[4249]) ).
thf(5127,plain,
$true = $true,
inference(copy,[status(thm)],[4248]) ).
thf(5128,plain,
$true = $true,
inference(copy,[status(thm)],[4247]) ).
thf(5129,plain,
$true = $true,
inference(copy,[status(thm)],[4246]) ).
thf(5130,plain,
$true = $true,
inference(copy,[status(thm)],[4245]) ).
thf(5131,plain,
$true = $true,
inference(copy,[status(thm)],[4244]) ).
thf(5132,plain,
$true = $true,
inference(copy,[status(thm)],[4243]) ).
thf(5133,plain,
$true = $true,
inference(copy,[status(thm)],[4242]) ).
thf(5134,plain,
$true = $true,
inference(copy,[status(thm)],[4241]) ).
thf(5135,plain,
$true = $true,
inference(copy,[status(thm)],[4240]) ).
thf(5136,plain,
$true = $true,
inference(copy,[status(thm)],[4239]) ).
thf(5137,plain,
$true = $true,
inference(copy,[status(thm)],[4238]) ).
thf(5138,plain,
$true = $true,
inference(copy,[status(thm)],[4237]) ).
thf(5139,plain,
$true = $true,
inference(copy,[status(thm)],[4236]) ).
thf(5140,plain,
$true = $true,
inference(copy,[status(thm)],[4235]) ).
thf(5141,plain,
$true = $true,
inference(copy,[status(thm)],[4234]) ).
thf(5142,plain,
$true = $true,
inference(copy,[status(thm)],[4233]) ).
thf(5143,plain,
$true = $true,
inference(copy,[status(thm)],[4232]) ).
thf(5144,plain,
$true = $true,
inference(copy,[status(thm)],[4231]) ).
thf(5145,plain,
$true = $true,
inference(copy,[status(thm)],[4230]) ).
thf(5146,plain,
$true = $true,
inference(copy,[status(thm)],[4229]) ).
thf(5147,plain,
$true = $true,
inference(copy,[status(thm)],[4228]) ).
thf(5148,plain,
$true = $true,
inference(copy,[status(thm)],[4227]) ).
thf(5149,plain,
$true = $true,
inference(copy,[status(thm)],[4226]) ).
thf(5150,plain,
$true = $true,
inference(copy,[status(thm)],[4225]) ).
thf(5151,plain,
$true = $true,
inference(copy,[status(thm)],[4224]) ).
thf(5152,plain,
$true = $true,
inference(copy,[status(thm)],[4223]) ).
thf(5153,plain,
$true = $true,
inference(copy,[status(thm)],[4222]) ).
thf(5154,plain,
$true = $true,
inference(copy,[status(thm)],[4221]) ).
thf(5155,plain,
$true = $true,
inference(copy,[status(thm)],[4220]) ).
thf(5156,plain,
$true = $true,
inference(copy,[status(thm)],[4219]) ).
thf(5157,plain,
$true = $true,
inference(copy,[status(thm)],[4218]) ).
thf(5158,plain,
$true = $true,
inference(copy,[status(thm)],[4217]) ).
thf(5159,plain,
$true = $true,
inference(copy,[status(thm)],[4216]) ).
thf(5160,plain,
$true = $true,
inference(copy,[status(thm)],[4215]) ).
thf(5161,plain,
$true = $true,
inference(copy,[status(thm)],[4214]) ).
thf(5162,plain,
$true = $true,
inference(copy,[status(thm)],[4213]) ).
thf(5163,plain,
$true = $true,
inference(copy,[status(thm)],[4212]) ).
thf(5164,plain,
$true = $true,
inference(copy,[status(thm)],[4211]) ).
thf(5165,plain,
$true = $true,
inference(copy,[status(thm)],[4210]) ).
thf(5166,plain,
$true = $true,
inference(copy,[status(thm)],[4209]) ).
thf(5167,plain,
$true = $true,
inference(copy,[status(thm)],[4208]) ).
thf(5168,plain,
$true = $true,
inference(copy,[status(thm)],[4207]) ).
thf(5169,plain,
$true = $true,
inference(copy,[status(thm)],[4206]) ).
thf(5170,plain,
$true = $true,
inference(copy,[status(thm)],[4205]) ).
thf(5171,plain,
$true = $true,
inference(copy,[status(thm)],[4204]) ).
thf(5172,plain,
$true = $true,
inference(copy,[status(thm)],[4203]) ).
thf(5173,plain,
$true = $true,
inference(copy,[status(thm)],[4202]) ).
thf(5174,plain,
$true = $true,
inference(copy,[status(thm)],[4201]) ).
thf(5175,plain,
$true = $true,
inference(copy,[status(thm)],[4200]) ).
thf(5176,plain,
$true = $true,
inference(copy,[status(thm)],[4199]) ).
thf(5177,plain,
$true = $true,
inference(copy,[status(thm)],[4198]) ).
thf(5178,plain,
$true = $true,
inference(copy,[status(thm)],[4197]) ).
thf(5179,plain,
$true = $true,
inference(copy,[status(thm)],[4196]) ).
thf(5180,plain,
$true = $true,
inference(copy,[status(thm)],[4195]) ).
thf(5181,plain,
$true = $true,
inference(copy,[status(thm)],[4194]) ).
thf(5182,plain,
$true = $true,
inference(copy,[status(thm)],[4193]) ).
thf(5183,plain,
$true = $true,
inference(copy,[status(thm)],[4192]) ).
thf(5184,plain,
$true = $true,
inference(copy,[status(thm)],[4191]) ).
thf(5185,plain,
$true = $true,
inference(copy,[status(thm)],[4190]) ).
thf(5186,plain,
$true = $true,
inference(copy,[status(thm)],[4189]) ).
thf(5187,plain,
$true = $true,
inference(copy,[status(thm)],[4188]) ).
thf(5188,plain,
$true = $true,
inference(copy,[status(thm)],[4187]) ).
thf(5189,plain,
$true = $true,
inference(copy,[status(thm)],[4186]) ).
thf(5190,plain,
$true = $true,
inference(copy,[status(thm)],[4185]) ).
thf(5191,plain,
$true = $true,
inference(copy,[status(thm)],[4184]) ).
thf(5192,plain,
$true = $true,
inference(copy,[status(thm)],[4183]) ).
thf(5193,plain,
$true = $true,
inference(copy,[status(thm)],[4182]) ).
thf(5194,plain,
$true = $true,
inference(copy,[status(thm)],[4181]) ).
thf(5195,plain,
$true = $true,
inference(copy,[status(thm)],[4180]) ).
thf(5196,plain,
$true = $true,
inference(copy,[status(thm)],[4179]) ).
thf(5197,plain,
$true = $true,
inference(copy,[status(thm)],[4178]) ).
thf(5198,plain,
$true = $true,
inference(copy,[status(thm)],[4177]) ).
thf(5199,plain,
$true = $true,
inference(copy,[status(thm)],[4176]) ).
thf(5200,plain,
$true = $true,
inference(copy,[status(thm)],[4175]) ).
thf(5201,plain,
$true = $true,
inference(copy,[status(thm)],[4174]) ).
thf(5202,plain,
$true = $true,
inference(copy,[status(thm)],[4173]) ).
thf(5203,plain,
$true = $true,
inference(copy,[status(thm)],[4172]) ).
thf(5204,plain,
$true = $true,
inference(copy,[status(thm)],[4171]) ).
thf(5205,plain,
$true = $true,
inference(copy,[status(thm)],[4170]) ).
thf(5206,plain,
$true = $true,
inference(copy,[status(thm)],[4169]) ).
thf(5207,plain,
$true = $true,
inference(copy,[status(thm)],[4168]) ).
thf(5208,plain,
$true = $true,
inference(copy,[status(thm)],[4167]) ).
thf(5209,plain,
$true = $true,
inference(copy,[status(thm)],[4166]) ).
thf(5210,plain,
$true = $true,
inference(copy,[status(thm)],[4165]) ).
thf(5211,plain,
$true = $true,
inference(copy,[status(thm)],[4164]) ).
thf(5212,plain,
$true = $true,
inference(copy,[status(thm)],[4163]) ).
thf(5213,plain,
$true = $true,
inference(copy,[status(thm)],[4162]) ).
thf(5214,plain,
$true = $true,
inference(copy,[status(thm)],[4161]) ).
thf(5215,plain,
$true = $true,
inference(copy,[status(thm)],[4160]) ).
thf(5216,plain,
$true = $true,
inference(copy,[status(thm)],[4159]) ).
thf(5217,plain,
$true = $true,
inference(copy,[status(thm)],[4158]) ).
thf(5218,plain,
$true = $true,
inference(copy,[status(thm)],[4157]) ).
thf(5219,plain,
$true = $true,
inference(copy,[status(thm)],[4156]) ).
thf(5220,plain,
$true = $true,
inference(copy,[status(thm)],[4155]) ).
thf(5221,plain,
$true = $true,
inference(copy,[status(thm)],[4154]) ).
thf(5222,plain,
$true = $true,
inference(copy,[status(thm)],[4153]) ).
thf(5223,plain,
( ( ! [A: $i,B: $i] :
( ( m1_subset_1 @ B @ A )
=> ? [C: $i] : ( m3_realset1 @ C @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[4152]) ).
thf(5224,plain,
$true = $true,
inference(copy,[status(thm)],[4151]) ).
thf(5225,plain,
$true = $true,
inference(copy,[status(thm)],[4150]) ).
thf(5226,plain,
( ( ? [A: $i] :
( ( l1_struct_0 @ A )
& ~ ( v3_struct_0 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[4149]) ).
thf(5227,plain,
( ( ? [A: $i] :
( ( l2_struct_0 @ A )
& ~ ( v3_struct_0 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[4148]) ).
thf(5228,plain,
$true = $true,
inference(copy,[status(thm)],[4147]) ).
thf(5229,plain,
$true = $true,
inference(copy,[status(thm)],[4146]) ).
thf(5230,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)],[4145]) ).
thf(5231,plain,
( ( ? [A: $i] :
( ( l2_rlvect_1 @ A )
& ~ ( v3_struct_0 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[4144]) ).
thf(5232,plain,
$true = $true,
inference(copy,[status(thm)],[4143]) ).
thf(5233,plain,
$true = $true,
inference(copy,[status(thm)],[4142]) ).
thf(5234,plain,
$true = $true,
inference(copy,[status(thm)],[4141]) ).
thf(5235,plain,
$true = $true,
inference(copy,[status(thm)],[4140]) ).
thf(5236,plain,
$true = $true,
inference(copy,[status(thm)],[4139]) ).
thf(5237,plain,
$true = $true,
inference(copy,[status(thm)],[4138]) ).
thf(5238,plain,
$true = $true,
inference(copy,[status(thm)],[4137]) ).
thf(5239,plain,
$true = $true,
inference(copy,[status(thm)],[4136]) ).
thf(5240,plain,
$true = $true,
inference(copy,[status(thm)],[4135]) ).
thf(5241,plain,
$true = $true,
inference(copy,[status(thm)],[4134]) ).
thf(5242,plain,
$true = $true,
inference(copy,[status(thm)],[4133]) ).
thf(5243,plain,
$true = $true,
inference(copy,[status(thm)],[4132]) ).
thf(5244,plain,
$true = $true,
inference(copy,[status(thm)],[4131]) ).
thf(5245,plain,
$true = $true,
inference(copy,[status(thm)],[4130]) ).
thf(5246,plain,
$true = $true,
inference(copy,[status(thm)],[4129]) ).
thf(5247,plain,
$true = $true,
inference(copy,[status(thm)],[4128]) ).
thf(5248,plain,
$true = $true,
inference(copy,[status(thm)],[4127]) ).
thf(5249,plain,
$true = $true,
inference(copy,[status(thm)],[4126]) ).
thf(5250,plain,
( ( ? [A: $i] :
( ( l1_group_1 @ A )
& ( v1_group_1 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[4125]) ).
thf(5251,plain,
( ( ? [A: $i] :
( ( l1_group_1 @ A )
& ~ ( v3_struct_0 @ A )
& ( v1_group_1 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[4124]) ).
thf(5252,plain,
( ( ! [A: $i] :
( ( l1_group_1 @ A )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v2_group_1 @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[4123]) ).
thf(5253,plain,
( ( ? [A: $i] :
( ( l1_group_1 @ A )
& ~ ( v3_struct_0 @ A )
& ( v1_group_1 @ A )
& ( v2_group_1 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[4122]) ).
thf(5254,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_group_1 @ A ) )
=> ( ( v3_group_1 @ A )
<=> ? [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
& ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( ( k1_group_1 @ A @ C @ B )
= C )
& ( ( k1_group_1 @ A @ B @ C )
= C )
& ? [D: $i] :
( ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) )
& ( ( k1_group_1 @ A @ C @ D )
= B )
& ( ( k1_group_1 @ A @ D @ C )
= B ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[4121]) ).
thf(5255,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_group_1 @ A ) )
=> ( ( v4_group_1 @ A )
<=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ! [D: $i] :
( ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) )
=> ( ( k1_group_1 @ A @ ( k1_group_1 @ A @ B @ C ) @ D )
= ( k1_group_1 @ A @ B @ ( k1_group_1 @ A @ C @ D ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[4120]) ).
thf(5256,plain,
$true = $true,
inference(copy,[status(thm)],[4119]) ).
thf(5257,plain,
$true = $true,
inference(copy,[status(thm)],[4118]) ).
thf(5258,plain,
$true = $true,
inference(copy,[status(thm)],[4117]) ).
thf(5259,plain,
$true = $true,
inference(copy,[status(thm)],[4116]) ).
thf(5260,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_group_1 @ A ) )
=> ( ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ! [D: $i] :
( ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) )
=> ( ( k1_group_1 @ A @ ( k1_group_1 @ A @ B @ C ) @ D )
= ( k1_group_1 @ A @ B @ ( k1_group_1 @ A @ C @ D ) ) ) ) ) )
=> ( ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ~ ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( ( k1_group_1 @ A @ C @ B )
= C )
& ( ( k1_group_1 @ A @ B @ C )
= C )
& ? [D: $i] :
( ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) )
& ( ( k1_group_1 @ A @ C @ D )
= B )
& ( ( k1_group_1 @ A @ D @ C )
= B ) ) ) ) )
| ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[4115]) ).
thf(5261,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_group_1 @ A ) )
=> ( ( ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ! [D: $i] :
( ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) )
=> ( ( k1_group_1 @ A @ ( k1_group_1 @ A @ B @ C ) @ D )
= ( k1_group_1 @ A @ B @ ( k1_group_1 @ A @ C @ D ) ) ) ) ) )
& ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ? [D: $i] :
( ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) )
& ( ( k1_group_1 @ A @ B @ D )
= C ) )
& ? [D: $i] :
( ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) )
& ( ( k1_group_1 @ A @ D @ B )
= C ) ) ) ) ) )
=> ( ( v4_group_1 @ A )
& ( v3_group_1 @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[4114]) ).
thf(5262,plain,
$true = $true,
inference(copy,[status(thm)],[4113]) ).
thf(5263,plain,
$true = $true,
inference(copy,[status(thm)],[4112]) ).
thf(5264,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ( ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( ( k1_group_1 @ A @ C @ B )
= C )
& ( ( k1_group_1 @ A @ B @ C )
= C ) ) )
=> ( B
= ( k2_group_1 @ A ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[4111]) ).
thf(5265,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( C
= ( k3_group_1 @ A @ B ) )
<=> ( ( ( k1_group_1 @ A @ B @ C )
= ( k2_group_1 @ A ) )
& ( ( k1_group_1 @ A @ C @ B )
= ( k2_group_1 @ A ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[4110]) ).
thf(5266,plain,
$true = $true,
inference(copy,[status(thm)],[4109]) ).
thf(5267,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( ( ( k1_group_1 @ A @ B @ C )
= ( k2_group_1 @ A ) )
& ( ( k1_group_1 @ A @ C @ B )
= ( k2_group_1 @ A ) ) )
=> ( C
= ( k3_group_1 @ A @ B ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[4108]) ).
thf(5268,plain,
$true = $true,
inference(copy,[status(thm)],[4107]) ).
thf(5269,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ! [D: $i] :
( ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) )
=> ( ( ( ( k1_group_1 @ A @ B @ C )
= ( k1_group_1 @ A @ B @ D ) )
| ( ( k1_group_1 @ A @ C @ B )
= ( k1_group_1 @ A @ D @ B ) ) )
=> ( C = D ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[4106]) ).
thf(5270,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( ( ( k1_group_1 @ A @ B @ C )
= B )
| ( ( k1_group_1 @ A @ C @ B )
= B ) )
=> ( C
= ( k2_group_1 @ A ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[4105]) ).
thf(5271,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ( ( k3_group_1 @ A @ ( k2_group_1 @ A ) )
= ( k2_group_1 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[4104]) ).
thf(5272,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( ( k3_group_1 @ A @ B )
= ( k3_group_1 @ A @ C ) )
=> ( B = C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[4103]) ).
thf(5273,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ( ( ( k3_group_1 @ A @ B )
= ( k2_group_1 @ A ) )
=> ( B
= ( k2_group_1 @ A ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[4102]) ).
thf(5274,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ( ( k3_group_1 @ A @ ( k3_group_1 @ A @ B ) )
= B ) ) ) )
= $true ),
inference(copy,[status(thm)],[4101]) ).
thf(5275,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( ( ( k1_group_1 @ A @ B @ C )
= ( k2_group_1 @ A ) )
| ( ( k1_group_1 @ A @ C @ B )
= ( k2_group_1 @ A ) ) )
=> ( ( B
= ( k3_group_1 @ A @ C ) )
& ( C
= ( k3_group_1 @ A @ B ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[4100]) ).
thf(5276,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ! [D: $i] :
( ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) )
=> ( ( ( k1_group_1 @ A @ B @ C )
= D )
<=> ( C
= ( k1_group_1 @ A @ ( k3_group_1 @ A @ B ) @ D ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[4099]) ).
thf(5277,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ! [D: $i] :
( ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) )
=> ( ( ( k1_group_1 @ A @ B @ C )
= D )
<=> ( B
= ( k1_group_1 @ A @ D @ ( k3_group_1 @ A @ C ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[4098]) ).
thf(5278,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ? [D: $i] :
( ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) )
& ( ( k1_group_1 @ A @ B @ D )
= C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[4097]) ).
thf(5279,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ? [D: $i] :
( ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) )
& ( ( k1_group_1 @ A @ D @ B )
= C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[4096]) ).
thf(5280,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( k3_group_1 @ A @ ( k1_group_1 @ A @ B @ C ) )
= ( k1_group_1 @ A @ ( k3_group_1 @ A @ C ) @ ( k3_group_1 @ A @ B ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[4095]) ).
thf(5281,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( ( k1_group_1 @ A @ B @ C )
= ( k1_group_1 @ A @ C @ B ) )
<=> ( ( k3_group_1 @ A @ ( k1_group_1 @ A @ B @ C ) )
= ( k1_group_1 @ A @ ( k3_group_1 @ A @ B ) @ ( k3_group_1 @ A @ C ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[4094]) ).
thf(5282,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( ( k1_group_1 @ A @ B @ C )
= ( k1_group_1 @ A @ C @ B ) )
<=> ( ( k1_group_1 @ A @ ( k3_group_1 @ A @ B ) @ ( k3_group_1 @ A @ C ) )
= ( k1_group_1 @ A @ ( k3_group_1 @ A @ C ) @ ( k3_group_1 @ A @ B ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[4093]) ).
thf(5283,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( ( k1_group_1 @ A @ B @ C )
= ( k1_group_1 @ A @ C @ B ) )
<=> ( ( k1_group_1 @ A @ B @ ( k3_group_1 @ A @ C ) )
= ( k1_group_1 @ A @ ( k3_group_1 @ A @ C ) @ B ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[4092]) ).
thf(5284,plain,
$true = $true,
inference(copy,[status(thm)],[4091]) ).
thf(5285,plain,
$true = $true,
inference(copy,[status(thm)],[4090]) ).
thf(5286,plain,
$true = $true,
inference(copy,[status(thm)],[4089]) ).
thf(5287,plain,
$true = $true,
inference(copy,[status(thm)],[4088]) ).
thf(5288,plain,
$true = $true,
inference(copy,[status(thm)],[4087]) ).
thf(5289,plain,
$true = $true,
inference(copy,[status(thm)],[4086]) ).
thf(5290,plain,
$true = $true,
inference(copy,[status(thm)],[4085]) ).
thf(5291,plain,
$true = $true,
inference(copy,[status(thm)],[4084]) ).
thf(5292,plain,
$true = $true,
inference(copy,[status(thm)],[4083]) ).
thf(5293,plain,
$true = $true,
inference(copy,[status(thm)],[4082]) ).
thf(5294,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ~ ( v5_group_1 @ ( k2_group_1 @ A ) @ A ) ) )
= $true ),
inference(copy,[status(thm)],[4081]) ).
thf(5295,plain,
$true = $true,
inference(copy,[status(thm)],[4080]) ).
thf(5296,plain,
$true = $true,
inference(copy,[status(thm)],[4079]) ).
thf(5297,plain,
$true = $true,
inference(copy,[status(thm)],[4078]) ).
thf(5298,plain,
$true = $true,
inference(copy,[status(thm)],[4077]) ).
thf(5299,plain,
$true = $true,
inference(copy,[status(thm)],[4076]) ).
thf(5300,plain,
$true = $true,
inference(copy,[status(thm)],[4075]) ).
thf(5301,plain,
$true = $true,
inference(copy,[status(thm)],[4074]) ).
thf(5302,plain,
$true = $true,
inference(copy,[status(thm)],[4073]) ).
thf(5303,plain,
( ( ! [A: $i] :
( ( l1_group_1 @ A )
=> ( l1_struct_0 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[4072]) ).
thf(5304,plain,
( ( ? [A: $i] : ( l1_group_1 @ A ) )
= $true ),
inference(copy,[status(thm)],[4071]) ).
thf(5305,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_group_1 @ A )
& ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
& ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) ) )
=> ( m1_subset_1 @ ( k1_group_1 @ A @ B @ C ) @ ( u1_struct_0 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[4070]) ).
thf(5306,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_group_1 @ A ) )
=> ( m1_subset_1 @ ( k2_group_1 @ A ) @ ( u1_struct_0 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[4069]) ).
thf(5307,plain,
( ( ! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A )
& ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) ) )
=> ( m1_subset_1 @ ( k3_group_1 @ A @ B ) @ ( u1_struct_0 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[4068]) ).
thf(5308,plain,
( ( ? [A: $i] :
( ( l1_group_1 @ A )
& ~ ( v3_struct_0 @ A )
& ( v4_group_1 @ A )
& ( v7_group_1 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[4067]) ).
thf(5309,plain,
$true = $true,
inference(copy,[status(thm)],[4066]) ).
thf(5310,plain,
$true = $true,
inference(copy,[status(thm)],[4065]) ).
thf(5311,plain,
$true = $true,
inference(copy,[status(thm)],[4064]) ).
thf(5312,plain,
$true = $true,
inference(copy,[status(thm)],[4063]) ).
thf(5313,plain,
$true = $true,
inference(copy,[status(thm)],[4062]) ).
thf(5314,plain,
$true = $true,
inference(copy,[status(thm)],[4061]) ).
thf(5315,plain,
$true = $true,
inference(copy,[status(thm)],[4060]) ).
thf(5316,plain,
$true = $true,
inference(copy,[status(thm)],[4059]) ).
thf(5317,plain,
$true = $true,
inference(copy,[status(thm)],[4058]) ).
thf(5318,plain,
$true = $true,
inference(copy,[status(thm)],[4057]) ).
thf(5319,plain,
$true = $true,
inference(copy,[status(thm)],[4056]) ).
thf(5320,plain,
$true = $true,
inference(copy,[status(thm)],[4055]) ).
thf(5321,plain,
$true = $true,
inference(copy,[status(thm)],[4054]) ).
thf(5322,plain,
$true = $true,
inference(copy,[status(thm)],[4053]) ).
thf(5323,plain,
$true = $true,
inference(copy,[status(thm)],[4052]) ).
thf(5324,plain,
$true = $true,
inference(copy,[status(thm)],[4051]) ).
thf(5325,plain,
$true = $true,
inference(copy,[status(thm)],[4050]) ).
thf(5326,plain,
$true = $true,
inference(copy,[status(thm)],[4049]) ).
thf(5327,plain,
$true = $true,
inference(copy,[status(thm)],[4048]) ).
thf(5328,plain,
$true = $true,
inference(copy,[status(thm)],[4047]) ).
thf(5329,plain,
$true = $true,
inference(copy,[status(thm)],[4046]) ).
thf(5330,plain,
$true = $true,
inference(copy,[status(thm)],[4045]) ).
thf(5331,plain,
$true = $true,
inference(copy,[status(thm)],[4044]) ).
thf(5332,plain,
$true = $true,
inference(copy,[status(thm)],[4043]) ).
thf(5333,plain,
$true = $true,
inference(copy,[status(thm)],[4042]) ).
thf(5334,plain,
$true = $true,
inference(copy,[status(thm)],[4041]) ).
thf(5335,plain,
$true = $true,
inference(copy,[status(thm)],[4040]) ).
thf(5336,plain,
$true = $true,
inference(copy,[status(thm)],[4039]) ).
thf(5337,plain,
$true = $true,
inference(copy,[status(thm)],[4038]) ).
thf(5338,plain,
$true = $true,
inference(copy,[status(thm)],[4037]) ).
thf(5339,plain,
$true = $true,
inference(copy,[status(thm)],[4036]) ).
thf(5340,plain,
$true = $true,
inference(copy,[status(thm)],[4035]) ).
thf(5341,plain,
$true = $true,
inference(copy,[status(thm)],[4034]) ).
thf(5342,plain,
$true = $true,
inference(copy,[status(thm)],[4033]) ).
thf(5343,plain,
$true = $true,
inference(copy,[status(thm)],[4032]) ).
thf(5344,plain,
$true = $true,
inference(copy,[status(thm)],[4031]) ).
thf(5345,plain,
$true = $true,
inference(copy,[status(thm)],[4030]) ).
thf(5346,plain,
$true = $true,
inference(copy,[status(thm)],[4029]) ).
thf(5347,plain,
$true = $true,
inference(copy,[status(thm)],[4028]) ).
thf(5348,plain,
$true = $true,
inference(copy,[status(thm)],[4027]) ).
thf(5349,plain,
$true = $true,
inference(copy,[status(thm)],[4026]) ).
thf(5350,plain,
$true = $true,
inference(copy,[status(thm)],[4025]) ).
thf(5351,plain,
$true = $true,
inference(copy,[status(thm)],[4024]) ).
thf(5352,plain,
$true = $true,
inference(copy,[status(thm)],[4023]) ).
thf(5353,plain,
$true = $true,
inference(copy,[status(thm)],[4022]) ).
thf(5354,plain,
$true = $true,
inference(copy,[status(thm)],[4021]) ).
thf(5355,plain,
$true = $true,
inference(copy,[status(thm)],[4020]) ).
thf(5356,plain,
$true = $true,
inference(copy,[status(thm)],[4019]) ).
thf(5357,plain,
$true = $true,
inference(copy,[status(thm)],[4018]) ).
thf(5358,plain,
$true = $true,
inference(copy,[status(thm)],[4017]) ).
thf(5359,plain,
$true = $true,
inference(copy,[status(thm)],[4016]) ).
thf(5360,plain,
$true = $true,
inference(copy,[status(thm)],[4015]) ).
thf(5361,plain,
$true = $true,
inference(copy,[status(thm)],[4014]) ).
thf(5362,plain,
$true = $true,
inference(copy,[status(thm)],[4013]) ).
thf(5363,plain,
$true = $true,
inference(copy,[status(thm)],[4012]) ).
thf(5364,plain,
$true = $true,
inference(copy,[status(thm)],[4011]) ).
thf(5365,plain,
$true = $true,
inference(copy,[status(thm)],[4010]) ).
thf(5366,plain,
$true = $true,
inference(copy,[status(thm)],[4009]) ).
thf(5367,plain,
$true = $true,
inference(copy,[status(thm)],[4008]) ).
thf(5368,plain,
$true = $true,
inference(copy,[status(thm)],[4007]) ).
thf(5369,plain,
$true = $true,
inference(copy,[status(thm)],[4006]) ).
thf(5370,plain,
$true = $true,
inference(copy,[status(thm)],[4005]) ).
thf(5371,plain,
$true = $true,
inference(copy,[status(thm)],[4004]) ).
thf(5372,plain,
$true = $true,
inference(copy,[status(thm)],[4003]) ).
thf(5373,plain,
$true = $true,
inference(copy,[status(thm)],[4002]) ).
thf(5374,plain,
$true = $true,
inference(copy,[status(thm)],[4001]) ).
thf(5375,plain,
$true = $true,
inference(copy,[status(thm)],[4000]) ).
thf(5376,plain,
$true = $true,
inference(copy,[status(thm)],[3999]) ).
thf(5377,plain,
$true = $true,
inference(copy,[status(thm)],[3998]) ).
thf(5378,plain,
( ( ! [A: $i] :
( ( l1_vectsp_1 @ A )
=> ( l1_group_1 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[3997]) ).
thf(5379,plain,
( ( ? [A: $i] :
( ( l1_funcsdom @ A )
& ~ ( v3_struct_0 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[3996]) ).
thf(5380,plain,
$true = $true,
inference(copy,[status(thm)],[3995]) ).
thf(5381,plain,
$true = $true,
inference(copy,[status(thm)],[3994]) ).
thf(5382,plain,
$true = $true,
inference(copy,[status(thm)],[3993]) ).
thf(5383,plain,
$true = $true,
inference(copy,[status(thm)],[3992]) ).
thf(5384,plain,
$true = $true,
inference(copy,[status(thm)],[3991]) ).
thf(5385,plain,
$true = $true,
inference(copy,[status(thm)],[3990]) ).
thf(5386,plain,
$true = $true,
inference(copy,[status(thm)],[3989]) ).
thf(5387,plain,
$true = $true,
inference(copy,[status(thm)],[3988]) ).
thf(5388,plain,
$true = $true,
inference(copy,[status(thm)],[3987]) ).
thf(5389,plain,
$true = $true,
inference(copy,[status(thm)],[3986]) ).
thf(5390,plain,
$true = $true,
inference(copy,[status(thm)],[3985]) ).
thf(5391,plain,
$true = $true,
inference(copy,[status(thm)],[3984]) ).
thf(5392,plain,
$true = $true,
inference(copy,[status(thm)],[3983]) ).
thf(5393,plain,
$true = $true,
inference(copy,[status(thm)],[3982]) ).
thf(5394,plain,
$true = $true,
inference(copy,[status(thm)],[3981]) ).
thf(5395,plain,
$true = $true,
inference(copy,[status(thm)],[3980]) ).
thf(5396,plain,
$true = $true,
inference(copy,[status(thm)],[3979]) ).
thf(5397,plain,
$true = $true,
inference(copy,[status(thm)],[3978]) ).
thf(5398,plain,
$true = $true,
inference(copy,[status(thm)],[3977]) ).
thf(5399,plain,
$true = $true,
inference(copy,[status(thm)],[3976]) ).
thf(5400,plain,
$true = $true,
inference(copy,[status(thm)],[3975]) ).
thf(5401,plain,
$true = $true,
inference(copy,[status(thm)],[3974]) ).
thf(5402,plain,
$true = $true,
inference(copy,[status(thm)],[3973]) ).
thf(5403,plain,
$true = $true,
inference(copy,[status(thm)],[3972]) ).
thf(5404,plain,
$true = $true,
inference(copy,[status(thm)],[3971]) ).
thf(5405,plain,
$true = $true,
inference(copy,[status(thm)],[3970]) ).
thf(5406,plain,
$true = $true,
inference(copy,[status(thm)],[3969]) ).
thf(5407,plain,
$true = $true,
inference(copy,[status(thm)],[3968]) ).
thf(5408,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_group_2 @ B @ A )
=> ( v4_group_1 @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[3967]) ).
thf(5409,plain,
$true = $true,
inference(copy,[status(thm)],[3966]) ).
thf(5410,plain,
$true = $true,
inference(copy,[status(thm)],[3965]) ).
thf(5411,plain,
$true = $true,
inference(copy,[status(thm)],[3964]) ).
thf(5412,plain,
$true = $true,
inference(copy,[status(thm)],[3963]) ).
thf(5413,plain,
$true = $true,
inference(copy,[status(thm)],[3962]) ).
thf(5414,plain,
$true = $true,
inference(copy,[status(thm)],[3961]) ).
thf(5415,plain,
$true = $true,
inference(copy,[status(thm)],[3960]) ).
thf(5416,plain,
$true = $true,
inference(copy,[status(thm)],[3959]) ).
thf(5417,plain,
$true = $true,
inference(copy,[status(thm)],[3958]) ).
thf(5418,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_group_2 @ B @ A )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ B ) )
=> ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[3957]) ).
thf(5419,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_group_2 @ B @ A )
=> ( ( k2_group_1 @ B )
= ( k2_group_1 @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[3956]) ).
thf(5420,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_group_2 @ B @ A )
=> ! [C: $i] :
( ( m1_group_2 @ C @ A )
=> ( ( k2_group_1 @ B )
= ( k2_group_1 @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[3955]) ).
thf(5421,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_group_2 @ C @ A )
=> ! [D: $i] :
( ( m1_subset_1 @ D @ ( u1_struct_0 @ C ) )
=> ( ( D = B )
=> ( ( k3_group_1 @ C @ D )
= ( k3_group_1 @ A @ B ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[3954]) ).
thf(5422,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ( m1_group_2 @ A @ A ) ) )
= $true ),
inference(copy,[status(thm)],[3953]) ).
thf(5423,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( v3_group_1 @ B )
& ( v4_group_1 @ B )
& ( l1_group_1 @ B ) )
=> ! [C: $i] :
( ( ~ ( v3_struct_0 @ C )
& ( v3_group_1 @ C )
& ( v4_group_1 @ C )
& ( l1_group_1 @ C ) )
=> ( ( ( m1_group_2 @ A @ B )
& ( m1_group_2 @ B @ C ) )
=> ( m1_group_2 @ A @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[3952]) ).
thf(5424,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v1_group_1 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( ( v1_group_1 @ B )
& ( m1_group_2 @ B @ A ) )
=> ( ( ( u1_struct_0 @ B )
= ( u1_struct_0 @ A ) )
=> ( B = A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[3951]) ).
thf(5425,plain,
$true = $true,
inference(copy,[status(thm)],[3950]) ).
thf(5426,plain,
$true = $true,
inference(copy,[status(thm)],[3949]) ).
thf(5427,plain,
$true = $true,
inference(copy,[status(thm)],[3948]) ).
thf(5428,plain,
$true = $true,
inference(copy,[status(thm)],[3947]) ).
thf(5429,plain,
$true = $true,
inference(copy,[status(thm)],[3946]) ).
thf(5430,plain,
$true = $true,
inference(copy,[status(thm)],[3945]) ).
thf(5431,plain,
$true = $true,
inference(copy,[status(thm)],[3944]) ).
thf(5432,plain,
$true = $true,
inference(copy,[status(thm)],[3943]) ).
thf(5433,plain,
$true = $true,
inference(copy,[status(thm)],[3942]) ).
thf(5434,plain,
$true = $true,
inference(copy,[status(thm)],[3941]) ).
thf(5435,plain,
$true = $true,
inference(copy,[status(thm)],[3940]) ).
thf(5436,plain,
$true = $true,
inference(copy,[status(thm)],[3939]) ).
thf(5437,plain,
$true = $true,
inference(copy,[status(thm)],[3938]) ).
thf(5438,plain,
$true = $true,
inference(copy,[status(thm)],[3937]) ).
thf(5439,plain,
$true = $true,
inference(copy,[status(thm)],[3936]) ).
thf(5440,plain,
$true = $true,
inference(copy,[status(thm)],[3935]) ).
thf(5441,plain,
$true = $true,
inference(copy,[status(thm)],[3934]) ).
thf(5442,plain,
$true = $true,
inference(copy,[status(thm)],[3933]) ).
thf(5443,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_group_2 @ B @ A )
=> ( ~ ( v3_struct_0 @ B )
& ( v3_group_1 @ B )
& ( l1_group_1 @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[3932]) ).
thf(5444,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ? [B: $i] : ( m1_group_2 @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[3931]) ).
thf(5445,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( ( k1_group_1 @ A @ ( k1_group_1 @ A @ B @ C ) @ ( k3_group_1 @ A @ C ) )
= B )
& ( ( k1_group_1 @ A @ ( k1_group_1 @ A @ B @ ( k3_group_1 @ A @ C ) ) @ C )
= B )
& ( ( k1_group_1 @ A @ ( k1_group_1 @ A @ ( k3_group_1 @ A @ C ) @ C ) @ B )
= B )
& ( ( k1_group_1 @ A @ ( k1_group_1 @ A @ C @ ( k3_group_1 @ A @ C ) ) @ B )
= B )
& ( ( k1_group_1 @ A @ B @ ( k1_group_1 @ A @ C @ ( k3_group_1 @ A @ C ) ) )
= B )
& ( ( k1_group_1 @ A @ B @ ( k1_group_1 @ A @ ( k3_group_1 @ A @ C ) @ C ) )
= B )
& ( ( k1_group_1 @ A @ ( k3_group_1 @ A @ C ) @ ( k1_group_1 @ A @ C @ B ) )
= B )
& ( ( k1_group_1 @ A @ C @ ( k1_group_1 @ A @ ( k3_group_1 @ A @ C ) @ B ) )
= B ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[3930]) ).
thf(5446,plain,
$true = $true,
inference(copy,[status(thm)],[3929]) ).
thf(5447,plain,
$true = $true,
inference(copy,[status(thm)],[3928]) ).
thf(5448,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ! [D: $i] :
( ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) )
=> ( ( ( k2_group_3 @ A @ B @ C )
= ( k2_group_3 @ A @ D @ C ) )
=> ( B = D ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[3927]) ).
thf(5449,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ( ( k2_group_3 @ A @ ( k2_group_1 @ A ) @ B )
= ( k2_group_1 @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[3926]) ).
thf(5450,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( ( k2_group_3 @ A @ B @ C )
= ( k2_group_1 @ A ) )
=> ( B
= ( k2_group_1 @ A ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[3925]) ).
thf(5451,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ( ( k2_group_3 @ A @ B @ ( k2_group_1 @ A ) )
= B ) ) ) )
= $true ),
inference(copy,[status(thm)],[3924]) ).
thf(5452,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ( ( k2_group_3 @ A @ B @ B )
= B ) ) ) )
= $true ),
inference(copy,[status(thm)],[3923]) ).
thf(5453,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ( ( ( k2_group_3 @ A @ B @ ( k3_group_1 @ A @ B ) )
= B )
& ( ( k2_group_3 @ A @ ( k3_group_1 @ A @ B ) @ B )
= ( k3_group_1 @ A @ B ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[3922]) ).
thf(5454,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( ( k2_group_3 @ A @ ( k2_group_3 @ A @ B @ C ) @ ( k3_group_1 @ A @ C ) )
= B )
& ( ( k2_group_3 @ A @ ( k2_group_3 @ A @ B @ ( k3_group_1 @ A @ C ) ) @ C )
= B ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[3921]) ).
thf(5455,plain,
$true = $true,
inference(copy,[status(thm)],[3920]) ).
thf(5456,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( k2_group_3 @ A @ ( k3_group_1 @ A @ B ) @ C )
= ( k3_group_1 @ A @ ( k2_group_3 @ A @ B @ C ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[3919]) ).
thf(5457,plain,
$true = $true,
inference(copy,[status(thm)],[3918]) ).
thf(5458,plain,
$true = $true,
inference(copy,[status(thm)],[3917]) ).
thf(5459,plain,
$true = $true,
inference(copy,[status(thm)],[3916]) ).
thf(5460,plain,
$true = $true,
inference(copy,[status(thm)],[3915]) ).
thf(5461,plain,
$true = $true,
inference(copy,[status(thm)],[3914]) ).
thf(5462,plain,
$true = $true,
inference(copy,[status(thm)],[3913]) ).
thf(5463,plain,
$true = $true,
inference(copy,[status(thm)],[3912]) ).
thf(5464,plain,
$true = $true,
inference(copy,[status(thm)],[3911]) ).
thf(5465,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ( r1_group_3 @ A @ B @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[3910]) ).
thf(5466,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( r1_group_3 @ A @ B @ C )
=> ( r1_group_3 @ A @ C @ B ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[3909]) ).
thf(5467,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ! [D: $i] :
( ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) )
=> ( ( ( r2_group_3 @ A @ B @ C )
& ( r2_group_3 @ A @ C @ D ) )
=> ( r2_group_3 @ A @ B @ D ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[3908]) ).
thf(5468,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ( ( ( r2_group_3 @ A @ B @ ( k2_group_1 @ A ) )
| ( r2_group_3 @ A @ ( k2_group_1 @ A ) @ B ) )
=> ( B
= ( k2_group_1 @ A ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[3907]) ).
thf(5469,plain,
$true = $true,
inference(copy,[status(thm)],[3906]) ).
thf(5470,plain,
$true = $true,
inference(copy,[status(thm)],[3905]) ).
thf(5471,plain,
$true = $true,
inference(copy,[status(thm)],[3904]) ).
thf(5472,plain,
$true = $true,
inference(copy,[status(thm)],[3903]) ).
thf(5473,plain,
$true = $true,
inference(copy,[status(thm)],[3902]) ).
thf(5474,plain,
$true = $true,
inference(copy,[status(thm)],[3901]) ).
thf(5475,plain,
$true = $true,
inference(copy,[status(thm)],[3900]) ).
thf(5476,plain,
$true = $true,
inference(copy,[status(thm)],[3899]) ).
thf(5477,plain,
$true = $true,
inference(copy,[status(thm)],[3898]) ).
thf(5478,plain,
$true = $true,
inference(copy,[status(thm)],[3897]) ).
thf(5479,plain,
$true = $true,
inference(copy,[status(thm)],[3896]) ).
thf(5480,plain,
$true = $true,
inference(copy,[status(thm)],[3895]) ).
thf(5481,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A )
& ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
& ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) ) )
=> ( ( r2_group_3 @ A @ B @ C )
=> ( r2_group_3 @ A @ C @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[3894]) ).
thf(5482,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A )
& ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
& ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) ) )
=> ( r2_group_3 @ A @ B @ B ) ) )
= $true ),
inference(copy,[status(thm)],[3893]) ).
thf(5483,plain,
$true = $true,
inference(copy,[status(thm)],[3892]) ).
thf(5484,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A )
& ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
& ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) ) )
=> ( m1_subset_1 @ ( k2_group_3 @ A @ B @ C ) @ ( u1_struct_0 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[3891]) ).
thf(5485,plain,
$true = $true,
inference(copy,[status(thm)],[3890]) ).
thf(5486,plain,
$true = $true,
inference(copy,[status(thm)],[3889]) ).
thf(5487,plain,
$true = $true,
inference(copy,[status(thm)],[3888]) ).
thf(5488,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ( ( ( k2_group_5 @ A @ ( k2_group_1 @ A ) @ B )
= ( k2_group_1 @ A ) )
& ( ( k2_group_5 @ A @ B @ ( k2_group_1 @ A ) )
= ( k2_group_1 @ A ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[3887]) ).
thf(5489,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ( ( k2_group_5 @ A @ B @ B )
= ( k2_group_1 @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[3886]) ).
thf(5490,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ( ( ( k2_group_5 @ A @ B @ ( k3_group_1 @ A @ B ) )
= ( k2_group_1 @ A ) )
& ( ( k2_group_5 @ A @ ( k3_group_1 @ A @ B ) @ B )
= ( k2_group_1 @ A ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[3885]) ).
thf(5491,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( k3_group_1 @ A @ ( k2_group_5 @ A @ B @ C ) )
= ( k2_group_5 @ A @ C @ B ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[3884]) ).
thf(5492,plain,
$true = $true,
inference(copy,[status(thm)],[3883]) ).
thf(5493,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( ( k3_group_5 @ A @ B @ C @ ( k2_group_1 @ A ) )
= ( k2_group_1 @ A ) )
& ( ( k3_group_5 @ A @ B @ ( k2_group_1 @ A ) @ C )
= ( k2_group_1 @ A ) )
& ( ( k3_group_5 @ A @ ( k2_group_1 @ A ) @ B @ C )
= ( k2_group_1 @ A ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[3882]) ).
thf(5494,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( k3_group_5 @ A @ B @ B @ C )
= ( k2_group_1 @ A ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[3881]) ).
thf(5495,plain,
$true = $true,
inference(copy,[status(thm)],[3880]) ).
thf(5496,plain,
$true = $true,
inference(copy,[status(thm)],[3879]) ).
thf(5497,plain,
$true = $true,
inference(copy,[status(thm)],[3878]) ).
thf(5498,plain,
$true = $true,
inference(copy,[status(thm)],[3877]) ).
thf(5499,plain,
$true = $true,
inference(copy,[status(thm)],[3876]) ).
thf(5500,plain,
$true = $true,
inference(copy,[status(thm)],[3875]) ).
thf(5501,plain,
$true = $true,
inference(copy,[status(thm)],[3874]) ).
thf(5502,plain,
$true = $true,
inference(copy,[status(thm)],[3873]) ).
thf(5503,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A )
& ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
& ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) ) )
=> ( m1_subset_1 @ ( k2_group_5 @ A @ B @ C ) @ ( u1_struct_0 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[3872]) ).
thf(5504,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A )
& ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
& ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
& ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) ) )
=> ( m1_subset_1 @ ( k3_group_5 @ A @ B @ C @ D ) @ ( u1_struct_0 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[3871]) ).
thf(5505,plain,
$true = $true,
inference(copy,[status(thm)],[3870]) ).
thf(5506,plain,
$true = $true,
inference(copy,[status(thm)],[3869]) ).
thf(5507,plain,
$true = $true,
inference(copy,[status(thm)],[3868]) ).
thf(5508,plain,
$true = $true,
inference(copy,[status(thm)],[3867]) ).
thf(5509,plain,
$true = $true,
inference(copy,[status(thm)],[3866]) ).
thf(5510,plain,
$true = $true,
inference(copy,[status(thm)],[3865]) ).
thf(5511,plain,
$true = $true,
inference(copy,[status(thm)],[3864]) ).
thf(5512,plain,
$true = $true,
inference(copy,[status(thm)],[3863]) ).
thf(5513,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v1_group_1 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( v1_group_1 @ B )
& ( v3_group_1 @ B )
& ( v4_group_1 @ B )
& ( l1_group_1 @ B ) )
=> ( ( r1_group_6 @ A @ B )
=> ( r1_group_6 @ B @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[3862]) ).
thf(5514,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( v3_group_1 @ B )
& ( v4_group_1 @ B )
& ( l1_group_1 @ B ) )
=> ! [C: $i] :
( ( ~ ( v3_struct_0 @ C )
& ( v3_group_1 @ C )
& ( v4_group_1 @ C )
& ( l1_group_1 @ C ) )
=> ( ( ( r1_group_6 @ A @ B )
& ( r1_group_6 @ B @ C ) )
=> ( r1_group_6 @ A @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[3861]) ).
thf(5515,plain,
$true = $true,
inference(copy,[status(thm)],[3860]) ).
thf(5516,plain,
( ( ! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A )
& ~ ( v3_struct_0 @ B )
& ( v3_group_1 @ B )
& ( v4_group_1 @ B )
& ( l1_group_1 @ B ) )
=> ( r1_group_6 @ A @ A ) ) )
= $true ),
inference(copy,[status(thm)],[3859]) ).
thf(5517,plain,
( ( ! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v1_group_1 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A )
& ~ ( v3_struct_0 @ B )
& ( v1_group_1 @ B )
& ( v3_group_1 @ B )
& ( v4_group_1 @ B )
& ( l1_group_1 @ B ) )
=> ( ( r2_group_6 @ A @ B )
=> ( r2_group_6 @ B @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[3858]) ).
thf(5518,plain,
( ( ! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v1_group_1 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A )
& ~ ( v3_struct_0 @ B )
& ( v1_group_1 @ B )
& ( v3_group_1 @ B )
& ( v4_group_1 @ B )
& ( l1_group_1 @ B ) )
=> ( r2_group_6 @ A @ A ) ) )
= $true ),
inference(copy,[status(thm)],[3857]) ).
thf(5519,plain,
$true = $true,
inference(copy,[status(thm)],[3856]) ).
thf(5520,plain,
$true = $true,
inference(copy,[status(thm)],[3855]) ).
thf(5521,plain,
$true = $true,
inference(copy,[status(thm)],[3854]) ).
thf(5522,plain,
$true = $true,
inference(copy,[status(thm)],[3853]) ).
thf(5523,plain,
$true = $true,
inference(copy,[status(thm)],[3852]) ).
thf(5524,plain,
$true = $true,
inference(copy,[status(thm)],[3851]) ).
thf(5525,plain,
$true = $true,
inference(copy,[status(thm)],[3850]) ).
thf(5526,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v1_group_1 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ( ~ ( v3_struct_0 @ ( k3_autgroup @ A ) )
& ( v1_group_1 @ ( k3_autgroup @ A ) )
& ( v3_group_1 @ ( k3_autgroup @ A ) )
& ( v4_group_1 @ ( k3_autgroup @ A ) )
& ( l1_group_1 @ ( k3_autgroup @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[3849]) ).
thf(5527,plain,
$true = $true,
inference(copy,[status(thm)],[3848]) ).
thf(5528,plain,
$true = $true,
inference(copy,[status(thm)],[3847]) ).
thf(5529,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v1_group_1 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( k6_autgroup @ A @ ( k1_group_1 @ A @ B @ C ) )
= ( k7_funct_2 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( k6_autgroup @ A @ B ) @ ( k6_autgroup @ A @ C ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[3846]) ).
thf(5530,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v1_group_1 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ( ( k6_autgroup @ A @ ( k2_group_1 @ A ) )
= ( k6_partfun1 @ ( u1_struct_0 @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[3845]) ).
thf(5531,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v1_group_1 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ( ( k8_funct_2 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( k6_autgroup @ A @ ( k2_group_1 @ A ) ) @ B )
= B ) ) ) )
= $true ),
inference(copy,[status(thm)],[3844]) ).
thf(5532,plain,
( ( l1_group_1 @ sK1_A )
= $true ),
inference(copy,[status(thm)],[4689]) ).
thf(5533,plain,
( ( v4_group_1 @ sK1_A )
= $true ),
inference(copy,[status(thm)],[4688]) ).
thf(5534,plain,
( ( v3_group_1 @ sK1_A )
= $true ),
inference(copy,[status(thm)],[4687]) ).
thf(5535,plain,
( ( v1_group_1 @ sK1_A )
= $true ),
inference(copy,[status(thm)],[4686]) ).
thf(5536,plain,
( ( ~ ( v3_struct_0 @ sK1_A ) )
= $true ),
inference(copy,[status(thm)],[4685]) ).
thf(5537,plain,
( ( ~ ! [SY221: $i] :
( ( m1_subset_1 @ SY221 @ ( u1_struct_0 @ sK1_A ) )
=> ( ( k7_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK1_A ) @ ( k6_autgroup @ sK1_A @ ( k3_group_1 @ sK1_A @ SY221 ) ) @ ( k6_autgroup @ sK1_A @ SY221 ) )
= ( k6_autgroup @ sK1_A @ ( k2_group_1 @ sK1_A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[4691]) ).
thf(5538,plain,
( ( ~ ! [SX0: $i] :
~ ~ ( ~ ( l1_struct_0 @ SX0 )
| ~ ~ ( v3_struct_0 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5226]) ).
thf(5539,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v1_group_1 @ SX0 ) )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( u1_struct_0 @ SX0 ) )
| ! [SX2: $i] :
( ~ ( m1_subset_1 @ SX2 @ ( u1_struct_0 @ SX0 ) )
| ( ( k6_autgroup @ SX0 @ ( k1_group_1 @ SX0 @ SX1 @ SX2 ) )
= ( k7_funct_2 @ ( u1_struct_0 @ SX0 ) @ ( u1_struct_0 @ SX0 ) @ ( u1_struct_0 @ SX0 ) @ ( k6_autgroup @ SX0 @ SX1 ) @ ( k6_autgroup @ SX0 @ SX2 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5529]) ).
thf(5540,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( u1_struct_0 @ SX0 ) )
| ! [SX2: $i] :
( ~ ( m1_subset_1 @ SX2 @ ( u1_struct_0 @ SX0 ) )
| ~ ( ( ( k1_group_1 @ SX0 @ SX1 @ SX2 )
= SX1 )
| ( ( k1_group_1 @ SX0 @ SX2 @ SX1 )
= SX1 ) )
| ( SX2
= ( k2_group_1 @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5270]) ).
thf(5541,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ! [SX1: $i] :
( ~ ( m1_group_2 @ SX1 @ SX0 )
| ! [SX2: $i] :
( ~ ( m1_group_2 @ SX2 @ SX0 )
| ( ( k2_group_1 @ SX1 )
= ( k2_group_1 @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5420]) ).
thf(5542,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( u1_struct_0 @ SX0 ) )
| ! [SX2: $i] :
( ~ ( m1_subset_1 @ SX2 @ ( u1_struct_0 @ SX0 ) )
| ~ ( ( ( k2_group_3 @ SX0 @ ( k2_group_3 @ SX0 @ SX1 @ SX2 ) @ ( k3_group_1 @ SX0 @ SX2 ) )
!= SX1 )
| ( ( k2_group_3 @ SX0 @ ( k2_group_3 @ SX0 @ SX1 @ ( k3_group_1 @ SX0 @ SX2 ) ) @ SX2 )
!= SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5454]) ).
thf(5543,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( u1_struct_0 @ SX0 ) )
| ( ( k2_group_3 @ SX0 @ ( k2_group_1 @ SX0 ) @ SX1 )
= ( k2_group_1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5449]) ).
thf(5544,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( u1_struct_0 @ SX0 ) )
| ~ ( ( r2_group_3 @ SX0 @ SX1 @ ( k2_group_1 @ SX0 ) )
| ( r2_group_3 @ SX0 @ ( k2_group_1 @ SX0 ) @ SX1 ) )
| ( SX1
= ( k2_group_1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5468]) ).
thf(5545,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( u1_struct_0 @ SX0 ) )
| ! [SX2: $i] :
( ~ ( m1_subset_1 @ SX2 @ ( u1_struct_0 @ SX0 ) )
| ! [SX3: $i] :
( ~ ( m1_subset_1 @ SX3 @ ( u1_struct_0 @ SX0 ) )
| ~ ( ( ( k1_group_1 @ SX0 @ SX1 @ SX2 )
= ( k1_group_1 @ SX0 @ SX1 @ SX3 ) )
| ( ( k1_group_1 @ SX0 @ SX2 @ SX1 )
= ( k1_group_1 @ SX0 @ SX3 @ SX1 ) ) )
| ( SX2 = SX3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5269]) ).
thf(5546,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( l1_group_1 @ SX0 ) )
| ( m1_subset_1 @ ( k2_group_1 @ SX0 ) @ ( u1_struct_0 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5306]) ).
thf(5547,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( u1_struct_0 @ SX0 ) )
| ! [SX2: $i] :
( ~ ( m1_subset_1 @ SX2 @ ( u1_struct_0 @ SX0 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SX0 @ SX1 @ SX2 )
!= ( k1_group_1 @ SX0 @ SX2 @ SX1 ) )
| ( ( k1_group_1 @ SX0 @ ( k3_group_1 @ SX0 @ SX1 ) @ ( k3_group_1 @ SX0 @ SX2 ) )
= ( k1_group_1 @ SX0 @ ( k3_group_1 @ SX0 @ SX2 ) @ ( k3_group_1 @ SX0 @ SX1 ) ) ) )
| ~ ( ( ( k1_group_1 @ SX0 @ ( k3_group_1 @ SX0 @ SX1 ) @ ( k3_group_1 @ SX0 @ SX2 ) )
!= ( k1_group_1 @ SX0 @ ( k3_group_1 @ SX0 @ SX2 ) @ ( k3_group_1 @ SX0 @ SX1 ) ) )
| ( ( k1_group_1 @ SX0 @ SX1 @ SX2 )
= ( k1_group_1 @ SX0 @ SX2 @ SX1 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5282]) ).
thf(5548,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v1_group_1 @ SX0 ) )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k3_autgroup @ SX0 ) )
| ~ ( v1_group_1 @ ( k3_autgroup @ SX0 ) ) )
| ~ ( v3_group_1 @ ( k3_autgroup @ SX0 ) ) )
| ~ ( v4_group_1 @ ( k3_autgroup @ SX0 ) ) )
| ~ ( l1_group_1 @ ( k3_autgroup @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5526]) ).
thf(5549,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ! [SX1: $i] :
( ~ ( m1_group_2 @ SX1 @ SX0 )
| ! [SX2: $i] :
( ~ ( m1_subset_1 @ SX2 @ ( u1_struct_0 @ SX1 ) )
| ( m1_subset_1 @ SX2 @ ( u1_struct_0 @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5418]) ).
thf(5550,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( u1_struct_0 @ SX0 ) )
| ! [SX2: $i] :
( ~ ( m1_subset_1 @ SX2 @ ( u1_struct_0 @ SX0 ) )
| ~ ( ~ ~ ( ( ( k3_group_5 @ SX0 @ SX1 @ SX2 @ ( k2_group_1 @ SX0 ) )
!= ( k2_group_1 @ SX0 ) )
| ( ( k3_group_5 @ SX0 @ SX1 @ ( k2_group_1 @ SX0 ) @ SX2 )
!= ( k2_group_1 @ SX0 ) ) )
| ( ( k3_group_5 @ SX0 @ ( k2_group_1 @ SX0 ) @ SX1 @ SX2 )
!= ( k2_group_1 @ SX0 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5493]) ).
thf(5551,plain,
( ( ! [SX0: $i] :
( ~ ( l1_group_1 @ SX0 )
| ( l1_struct_0 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5303]) ).
thf(5552,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( u1_struct_0 @ SX0 ) )
| ! [SX2: $i] :
( ~ ( m1_subset_1 @ SX2 @ ( u1_struct_0 @ SX0 ) )
| ( ( k2_group_3 @ SX0 @ ( k3_group_1 @ SX0 @ SX1 ) @ SX2 )
= ( k3_group_1 @ SX0 @ ( k2_group_3 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5456]) ).
thf(5553,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( l1_group_1 @ SX0 ) )
| ~ ( ~ ( ~ ( v3_group_1 @ SX0 )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( m1_subset_1 @ SX1 @ ( u1_struct_0 @ SX0 ) )
| ~ ! [SX2: $i] :
( ~ ( m1_subset_1 @ SX2 @ ( u1_struct_0 @ SX0 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SX0 @ SX2 @ SX1 )
!= SX2 )
| ( ( k1_group_1 @ SX0 @ SX1 @ SX2 )
!= SX2 ) )
| ~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SX3 @ ( u1_struct_0 @ SX0 ) )
| ( ( k1_group_1 @ SX0 @ SX2 @ SX3 )
!= SX1 ) )
| ( ( k1_group_1 @ SX0 @ SX3 @ SX2 )
!= SX1 ) ) ) ) ) )
| ~ ( ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( m1_subset_1 @ SX1 @ ( u1_struct_0 @ SX0 ) )
| ~ ! [SX2: $i] :
( ~ ( m1_subset_1 @ SX2 @ ( u1_struct_0 @ SX0 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SX0 @ SX2 @ SX1 )
!= SX2 )
| ( ( k1_group_1 @ SX0 @ SX1 @ SX2 )
!= SX2 ) )
| ~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SX3 @ ( u1_struct_0 @ SX0 ) )
| ( ( k1_group_1 @ SX0 @ SX2 @ SX3 )
!= SX1 ) )
| ( ( k1_group_1 @ SX0 @ SX3 @ SX2 )
!= SX1 ) ) ) ) )
| ( v3_group_1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5254]) ).
thf(5554,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( u1_struct_0 @ SX0 ) )
| ! [SX2: $i] :
( ~ ( m1_subset_1 @ SX2 @ ( u1_struct_0 @ SX0 ) )
| ( ( k2_group_3 @ SX0 @ SX1 @ SX2 )
!= ( k2_group_1 @ SX0 ) )
| ( SX1
= ( k2_group_1 @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5450]) ).
thf(5555,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( u1_struct_0 @ SX0 ) )
| ( r1_group_3 @ SX0 @ SX1 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5465]) ).
thf(5556,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ~ ( m1_subset_1 @ SX1 @ ( u1_struct_0 @ SX0 ) ) )
| ~ ( m1_subset_1 @ SX2 @ ( u1_struct_0 @ SX0 ) ) )
| ( m1_subset_1 @ ( k2_group_3 @ SX0 @ SX1 @ SX2 ) @ ( u1_struct_0 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5484]) ).
thf(5557,plain,
( ( ! [SX0: $i] :
( ~ ( l1_vectsp_1 @ SX0 )
| ( l1_group_1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5378]) ).
thf(5558,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( u1_struct_0 @ SX0 ) )
| ! [SX2: $i] :
( ~ ( m1_subset_1 @ SX2 @ ( u1_struct_0 @ SX0 ) )
| ! [SX3: $i] :
( ~ ( m1_subset_1 @ SX3 @ ( u1_struct_0 @ SX0 ) )
| ~ ~ ( ~ ( r2_group_3 @ SX0 @ SX1 @ SX2 )
| ~ ( r2_group_3 @ SX0 @ SX2 @ SX3 ) )
| ( r2_group_3 @ SX0 @ SX1 @ SX3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5467]) ).
thf(5559,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v1_group_1 @ SX0 ) )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ! [SX1: $i] :
( ~ ~ ( ~ ( v1_group_1 @ SX1 )
| ~ ( m1_group_2 @ SX1 @ SX0 ) )
| ( ( u1_struct_0 @ SX1 )
!= ( u1_struct_0 @ SX0 ) )
| ( SX1 = SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5424]) ).
thf(5560,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( u1_struct_0 @ SX0 ) )
| ! [SX2: $i] :
( ~ ( m1_subset_1 @ SX2 @ ( u1_struct_0 @ SX0 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SX0 @ SX1 @ SX2 )
!= ( k1_group_1 @ SX0 @ SX2 @ SX1 ) )
| ( ( k3_group_1 @ SX0 @ ( k1_group_1 @ SX0 @ SX1 @ SX2 ) )
= ( k1_group_1 @ SX0 @ ( k3_group_1 @ SX0 @ SX1 ) @ ( k3_group_1 @ SX0 @ SX2 ) ) ) )
| ~ ( ( ( k3_group_1 @ SX0 @ ( k1_group_1 @ SX0 @ SX1 @ SX2 ) )
!= ( k1_group_1 @ SX0 @ ( k3_group_1 @ SX0 @ SX1 ) @ ( k3_group_1 @ SX0 @ SX2 ) ) )
| ( ( k1_group_1 @ SX0 @ SX1 @ SX2 )
= ( k1_group_1 @ SX0 @ SX2 @ SX1 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5281]) ).
thf(5561,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( u1_struct_0 @ SX0 ) )
| ~ ( ( ( k2_group_5 @ SX0 @ ( k2_group_1 @ SX0 ) @ SX1 )
!= ( k2_group_1 @ SX0 ) )
| ( ( k2_group_5 @ SX0 @ SX1 @ ( k2_group_1 @ SX0 ) )
!= ( k2_group_1 @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5488]) ).
thf(5562,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ( m1_group_2 @ SX0 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5422]) ).
thf(5563,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ! [SX1: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX1 )
| ~ ( v3_group_1 @ SX1 ) )
| ~ ( v4_group_1 @ SX1 ) )
| ~ ( l1_group_1 @ SX1 ) )
| ! [SX2: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX2 )
| ~ ( v3_group_1 @ SX2 ) )
| ~ ( v4_group_1 @ SX2 ) )
| ~ ( l1_group_1 @ SX2 ) )
| ~ ~ ( ~ ( m1_group_2 @ SX0 @ SX1 )
| ~ ( m1_group_2 @ SX1 @ SX2 ) )
| ( m1_group_2 @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5423]) ).
thf(5564,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
~ ( m3_realset1 @ SX2 @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5223]) ).
thf(5565,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( l1_group_1 @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( u1_struct_0 @ SX0 ) )
| ! [SX2: $i] :
( ~ ( m1_subset_1 @ SX2 @ ( u1_struct_0 @ SX0 ) )
| ! [SX3: $i] :
( ~ ( m1_subset_1 @ SX3 @ ( u1_struct_0 @ SX0 ) )
| ( ( k1_group_1 @ SX0 @ ( k1_group_1 @ SX0 @ SX1 @ SX2 ) @ SX3 )
= ( k1_group_1 @ SX0 @ SX1 @ ( k1_group_1 @ SX0 @ SX2 @ SX3 ) ) ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( u1_struct_0 @ SX0 ) )
| ! [SX2: $i] :
( ~ ( m1_subset_1 @ SX2 @ ( u1_struct_0 @ SX0 ) )
| ~ ( ~ ~ ! [SX3: $i] :
~ ~ ( ~ ( m1_subset_1 @ SX3 @ ( u1_struct_0 @ SX0 ) )
| ( ( k1_group_1 @ SX0 @ SX1 @ SX3 )
!= SX2 ) )
| ~ ~ ! [SX3: $i] :
~ ~ ( ~ ( m1_subset_1 @ SX3 @ ( u1_struct_0 @ SX0 ) )
| ( ( k1_group_1 @ SX0 @ SX3 @ SX1 )
!= SX2 ) ) ) ) ) )
| ~ ( ~ ( v4_group_1 @ SX0 )
| ~ ( v3_group_1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5261]) ).
thf(5566,plain,
( ( ~ ! [SX0: $i] :
~ ( l1_group_1 @ SX0 ) )
= $true ),
inference(unfold_def,[status(thm)],[5304]) ).
thf(5567,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ~ ( m1_subset_1 @ SX1 @ ( u1_struct_0 @ SX0 ) ) )
| ~ ( m1_subset_1 @ SX2 @ ( u1_struct_0 @ SX0 ) ) )
| ( m1_subset_1 @ ( k2_group_5 @ SX0 @ SX1 @ SX2 ) @ ( u1_struct_0 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5503]) ).
thf(5568,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ~ ( m1_subset_1 @ SX1 @ ( u1_struct_0 @ SX0 ) ) )
| ~ ( m1_subset_1 @ SX2 @ ( u1_struct_0 @ SX0 ) ) )
| ( r2_group_3 @ SX0 @ SX1 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5482]) ).
thf(5569,plain,
( ( ~ ! [SX0: $i] :
~ ~ ( ~ ( l2_struct_0 @ SX0 )
| ~ ~ ( v3_struct_0 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5227]) ).
thf(5570,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( u1_struct_0 @ SX0 ) )
| ! [SX2: $i] :
( ~ ( m1_subset_1 @ SX2 @ ( u1_struct_0 @ SX0 ) )
| ( ( k3_group_1 @ SX0 @ SX1 )
!= ( k3_group_1 @ SX0 @ SX2 ) )
| ( SX1 = SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5272]) ).
thf(5571,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( u1_struct_0 @ SX0 ) )
| ~ ( ( ( k2_group_5 @ SX0 @ SX1 @ ( k3_group_1 @ SX0 @ SX1 ) )
!= ( k2_group_1 @ SX0 ) )
| ( ( k2_group_5 @ SX0 @ ( k3_group_1 @ SX0 @ SX1 ) @ SX1 )
!= ( k2_group_1 @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5490]) ).
thf(5572,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( u1_struct_0 @ SX0 ) )
| ! [SX2: $i] :
( ~ ( m1_subset_1 @ SX2 @ ( u1_struct_0 @ SX0 ) )
| ! [SX3: $i] :
( ~ ( m1_subset_1 @ SX3 @ ( u1_struct_0 @ SX0 ) )
| ( ( k2_group_3 @ SX0 @ SX1 @ SX2 )
!= ( k2_group_3 @ SX0 @ SX3 @ SX2 ) )
| ( SX1 = SX3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5448]) ).
thf(5573,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( u1_struct_0 @ SX0 ) )
| ! [SX2: $i] :
( ~ ( m1_subset_1 @ SX2 @ ( u1_struct_0 @ SX0 ) )
| ~ ( ( ( k1_group_1 @ SX0 @ SX1 @ SX2 )
= ( k2_group_1 @ SX0 ) )
| ( ( k1_group_1 @ SX0 @ SX2 @ SX1 )
= ( k2_group_1 @ SX0 ) ) )
| ~ ( ( SX1
!= ( k3_group_1 @ SX0 @ SX2 ) )
| ( SX2
!= ( k3_group_1 @ SX0 @ SX1 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5275]) ).
thf(5574,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ~ ~ ( v3_struct_0 @ SX1 ) )
| ~ ( v3_group_1 @ SX1 ) )
| ~ ( v4_group_1 @ SX1 ) )
| ~ ( l1_group_1 @ SX1 ) )
| ( r1_group_6 @ SX0 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5516]) ).
thf(5575,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( u1_struct_0 @ SX0 ) )
| ! [SX2: $i] :
( ~ ( m1_subset_1 @ SX2 @ ( u1_struct_0 @ SX0 ) )
| ! [SX3: $i] :
( ~ ( m1_subset_1 @ SX3 @ ( u1_struct_0 @ SX0 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SX0 @ SX1 @ SX2 )
!= SX3 )
| ( SX1
= ( k1_group_1 @ SX0 @ SX3 @ ( k3_group_1 @ SX0 @ SX2 ) ) ) )
| ~ ( ( SX1
!= ( k1_group_1 @ SX0 @ SX3 @ ( k3_group_1 @ SX0 @ SX2 ) ) )
| ( ( k1_group_1 @ SX0 @ SX1 @ SX2 )
= SX3 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5277]) ).
thf(5576,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ! [SX1: $i] :
( ~ ( m1_group_2 @ SX1 @ SX0 )
| ( v4_group_1 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5408]) ).
thf(5577,plain,
( ( ~ ! [SX0: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( l1_group_1 @ SX0 )
| ~ ~ ( v3_struct_0 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( v7_group_1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5308]) ).
thf(5578,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ! [SX1: $i] :
( ~ ( m1_group_2 @ SX1 @ SX0 )
| ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX1 )
| ~ ( v3_group_1 @ SX1 ) )
| ~ ( l1_group_1 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5443]) ).
thf(5579,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i] :
~ ( m1_subset_1 @ SX1 @ SX0 ) )
= $true ),
inference(unfold_def,[status(thm)],[4750]) ).
thf(5580,plain,
( ( ! [SX0: $i] :
( ~ ( l1_group_1 @ SX0 )
| ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v2_group_1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5252]) ).
thf(5581,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( u1_struct_0 @ SX0 ) )
| ! [SX2: $i] :
( ~ ( m1_subset_1 @ SX2 @ ( u1_struct_0 @ SX0 ) )
| ( ( k3_group_1 @ SX0 @ ( k2_group_5 @ SX0 @ SX1 @ SX2 ) )
= ( k2_group_5 @ SX0 @ SX2 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5491]) ).
thf(5582,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( u1_struct_0 @ SX0 ) )
| ! [SX2: $i] :
( ~ ( m1_subset_1 @ SX2 @ ( u1_struct_0 @ SX0 ) )
| ( ( k3_group_5 @ SX0 @ SX1 @ SX1 @ SX2 )
= ( k2_group_1 @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5494]) ).
thf(5583,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( u1_struct_0 @ SX0 ) )
| ~ ! [SX2: $i] :
( ~ ( m1_subset_1 @ SX2 @ ( u1_struct_0 @ SX0 ) )
| ~ ( ( ( k1_group_1 @ SX0 @ SX2 @ SX1 )
!= SX2 )
| ( ( k1_group_1 @ SX0 @ SX1 @ SX2 )
!= SX2 ) ) )
| ( SX1
= ( k2_group_1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5264]) ).
thf(5584,plain,
( ( ~ ! [SX0: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( l1_group_1 @ SX0 )
| ~ ~ ( v3_struct_0 @ SX0 ) )
| ~ ( v1_group_1 @ SX0 ) )
| ~ ( v2_group_1 @ SX0 ) )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5253]) ).
thf(5585,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( l1_group_1 @ SX0 ) )
| ~ ( ~ ( ~ ( v4_group_1 @ SX0 )
| ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( u1_struct_0 @ SX0 ) )
| ! [SX2: $i] :
( ~ ( m1_subset_1 @ SX2 @ ( u1_struct_0 @ SX0 ) )
| ! [SX3: $i] :
( ~ ( m1_subset_1 @ SX3 @ ( u1_struct_0 @ SX0 ) )
| ( ( k1_group_1 @ SX0 @ ( k1_group_1 @ SX0 @ SX1 @ SX2 ) @ SX3 )
= ( k1_group_1 @ SX0 @ SX1 @ ( k1_group_1 @ SX0 @ SX2 @ SX3 ) ) ) ) ) ) )
| ~ ( ~ ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( u1_struct_0 @ SX0 ) )
| ! [SX2: $i] :
( ~ ( m1_subset_1 @ SX2 @ ( u1_struct_0 @ SX0 ) )
| ! [SX3: $i] :
( ~ ( m1_subset_1 @ SX3 @ ( u1_struct_0 @ SX0 ) )
| ( ( k1_group_1 @ SX0 @ ( k1_group_1 @ SX0 @ SX1 @ SX2 ) @ SX3 )
= ( k1_group_1 @ SX0 @ SX1 @ ( k1_group_1 @ SX0 @ SX2 @ SX3 ) ) ) ) ) )
| ( v4_group_1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5255]) ).
thf(5586,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( u1_struct_0 @ SX0 ) )
| ! [SX2: $i] :
( ~ ( m1_subset_1 @ SX2 @ ( u1_struct_0 @ SX0 ) )
| ( ( k3_group_1 @ SX0 @ ( k1_group_1 @ SX0 @ SX1 @ SX2 ) )
= ( k1_group_1 @ SX0 @ ( k3_group_1 @ SX0 @ SX2 ) @ ( k3_group_1 @ SX0 @ SX1 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5280]) ).
thf(5587,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v1_group_1 @ SX0 ) )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ( ( k6_autgroup @ SX0 @ ( k2_group_1 @ SX0 ) )
= ( k6_partfun1 @ ( u1_struct_0 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5530]) ).
thf(5588,plain,
( ( ~ ! [SX0: $i] :
( ~ ( m1_subset_1 @ SX0 @ ( u1_struct_0 @ sK1_A ) )
| ( ( k7_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK1_A ) @ ( k6_autgroup @ sK1_A @ ( k3_group_1 @ sK1_A @ SX0 ) ) @ ( k6_autgroup @ sK1_A @ SX0 ) )
= ( k6_autgroup @ sK1_A @ ( k2_group_1 @ sK1_A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5537]) ).
thf(5589,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ~ ( m1_subset_1 @ SX1 @ ( u1_struct_0 @ SX0 ) ) )
| ~ ( m1_subset_1 @ SX2 @ ( u1_struct_0 @ SX0 ) ) )
| ~ ( m1_subset_1 @ SX3 @ ( u1_struct_0 @ SX0 ) ) )
| ( m1_subset_1 @ ( k3_group_5 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( u1_struct_0 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5504]) ).
thf(5590,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ! [SX1: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX1 )
| ~ ( v3_group_1 @ SX1 ) )
| ~ ( v4_group_1 @ SX1 ) )
| ~ ( l1_group_1 @ SX1 ) )
| ! [SX2: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX2 )
| ~ ( v3_group_1 @ SX2 ) )
| ~ ( v4_group_1 @ SX2 ) )
| ~ ( l1_group_1 @ SX2 ) )
| ~ ~ ( ~ ( r1_group_6 @ SX0 @ SX1 )
| ~ ( r1_group_6 @ SX1 @ SX2 ) )
| ( r1_group_6 @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5514]) ).
thf(5591,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ~ ( m1_subset_1 @ SX1 @ ( u1_struct_0 @ SX0 ) ) )
| ( m1_subset_1 @ ( k3_group_1 @ SX0 @ SX1 ) @ ( u1_struct_0 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5307]) ).
thf(5592,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ( ( k3_group_1 @ SX0 @ ( k2_group_1 @ SX0 ) )
= ( k2_group_1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5271]) ).
thf(5593,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ~ ( m1_subset_1 @ SX1 @ ( u1_struct_0 @ SX0 ) ) )
| ~ ( m1_subset_1 @ SX2 @ ( u1_struct_0 @ SX0 ) ) )
| ~ ( r2_group_3 @ SX0 @ SX1 @ SX2 )
| ( r2_group_3 @ SX0 @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5481]) ).
thf(5594,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v1_group_1 @ SX0 ) )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ! [SX1: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX1 )
| ~ ( v1_group_1 @ SX1 ) )
| ~ ( v3_group_1 @ SX1 ) )
| ~ ( v4_group_1 @ SX1 ) )
| ~ ( l1_group_1 @ SX1 ) )
| ~ ( r1_group_6 @ SX0 @ SX1 )
| ( r1_group_6 @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5513]) ).
thf(5595,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ! [SX1: $i] :
( ~ ( m1_group_2 @ SX1 @ SX0 )
| ( ( k2_group_1 @ SX1 )
= ( k2_group_1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5419]) ).
thf(5596,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( u1_struct_0 @ SX0 ) )
| ! [SX2: $i] :
( ~ ( m1_subset_1 @ SX2 @ ( u1_struct_0 @ SX0 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SX0 @ SX1 @ SX2 )
!= ( k1_group_1 @ SX0 @ SX2 @ SX1 ) )
| ( ( k1_group_1 @ SX0 @ SX1 @ ( k3_group_1 @ SX0 @ SX2 ) )
= ( k1_group_1 @ SX0 @ ( k3_group_1 @ SX0 @ SX2 ) @ SX1 ) ) )
| ~ ( ( ( k1_group_1 @ SX0 @ SX1 @ ( k3_group_1 @ SX0 @ SX2 ) )
!= ( k1_group_1 @ SX0 @ ( k3_group_1 @ SX0 @ SX2 ) @ SX1 ) )
| ( ( k1_group_1 @ SX0 @ SX1 @ SX2 )
= ( k1_group_1 @ SX0 @ SX2 @ SX1 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5283]) ).
thf(5597,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( u1_struct_0 @ SX0 ) )
| ! [SX2: $i] :
( ~ ( m1_group_2 @ SX2 @ SX0 )
| ! [SX3: $i] :
( ~ ( m1_subset_1 @ SX3 @ ( u1_struct_0 @ SX2 ) )
| ( SX3 != SX1 )
| ( ( k3_group_1 @ SX2 @ SX3 )
= ( k3_group_1 @ SX0 @ SX1 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5421]) ).
thf(5598,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( u1_struct_0 @ SX0 ) )
| ! [SX2: $i] :
( ~ ( m1_subset_1 @ SX2 @ ( u1_struct_0 @ SX0 ) )
| ~ ~ ( ( ( k1_group_1 @ SX0 @ SX1 @ SX2 )
!= ( k2_group_1 @ SX0 ) )
| ( ( k1_group_1 @ SX0 @ SX2 @ SX1 )
!= ( k2_group_1 @ SX0 ) ) )
| ( SX2
= ( k3_group_1 @ SX0 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5267]) ).
thf(5599,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( u1_struct_0 @ SX0 ) )
| ( ( k2_group_3 @ SX0 @ SX1 @ SX1 )
= SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5452]) ).
thf(5600,plain,
( ( ! [SX0: $i] :
( ~ ~ $true
| ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ SX0 )
| ( SX1
= ( k8_subset_1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4748]) ).
thf(5601,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( u1_struct_0 @ SX0 ) )
| ! [SX2: $i] :
( ~ ( m1_subset_1 @ SX2 @ ( u1_struct_0 @ SX0 ) )
| ~ ! [SX3: $i] :
~ ~ ( ~ ( m1_subset_1 @ SX3 @ ( u1_struct_0 @ SX0 ) )
| ( ( k1_group_1 @ SX0 @ SX1 @ SX3 )
!= SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5278]) ).
thf(5602,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( u1_struct_0 @ SX0 ) )
| ! [SX2: $i] :
( ~ ( m1_subset_1 @ SX2 @ ( u1_struct_0 @ SX0 ) )
| ~ ( ~ ( ( SX2
!= ( k3_group_1 @ SX0 @ SX1 ) )
| ~ ( ( ( k1_group_1 @ SX0 @ SX1 @ SX2 )
!= ( k2_group_1 @ SX0 ) )
| ( ( k1_group_1 @ SX0 @ SX2 @ SX1 )
!= ( k2_group_1 @ SX0 ) ) ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SX0 @ SX1 @ SX2 )
!= ( k2_group_1 @ SX0 ) )
| ( ( k1_group_1 @ SX0 @ SX2 @ SX1 )
!= ( k2_group_1 @ SX0 ) ) )
| ( SX2
= ( k3_group_1 @ SX0 @ SX1 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5265]) ).
thf(5603,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v1_group_1 @ SX0 ) )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ~ ~ ( v3_struct_0 @ SX1 ) )
| ~ ( v1_group_1 @ SX1 ) )
| ~ ( v3_group_1 @ SX1 ) )
| ~ ( v4_group_1 @ SX1 ) )
| ~ ( l1_group_1 @ SX1 ) )
| ~ ( r2_group_6 @ SX0 @ SX1 )
| ( r2_group_6 @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5517]) ).
thf(5604,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v1_group_1 @ SX0 ) )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( u1_struct_0 @ SX0 ) )
| ( ( k8_funct_2 @ ( u1_struct_0 @ SX0 ) @ ( u1_struct_0 @ SX0 ) @ ( k6_autgroup @ SX0 @ ( k2_group_1 @ SX0 ) ) @ SX1 )
= SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5531]) ).
thf(5605,plain,
( ( ~ ! [SX0: $i] :
~ ~ ( ~ ( l1_funcsdom @ SX0 )
| ~ ~ ( v3_struct_0 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5379]) ).
thf(5606,plain,
( ( ~ ! [SX0: $i] :
~ ~ ( ~ ( l1_group_1 @ SX0 )
| ~ ( v1_group_1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5250]) ).
thf(5607,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( l1_group_1 @ SX0 ) )
| ~ ( m1_subset_1 @ SX1 @ ( u1_struct_0 @ SX0 ) ) )
| ~ ( m1_subset_1 @ SX2 @ ( u1_struct_0 @ SX0 ) ) )
| ( m1_subset_1 @ ( k1_group_1 @ SX0 @ SX1 @ SX2 ) @ ( u1_struct_0 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5305]) ).
thf(5608,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( u1_struct_0 @ SX0 ) )
| ( ( k2_group_5 @ SX0 @ SX1 @ SX1 )
= ( k2_group_1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5489]) ).
thf(5609,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( r2_hidden @ SX0 @ SX1 )
| ( m1_subset_1 @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4752]) ).
thf(5610,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( u1_struct_0 @ SX0 ) )
| ! [SX2: $i] :
( ~ ( m1_subset_1 @ SX2 @ ( u1_struct_0 @ SX0 ) )
| ~ ( r1_group_3 @ SX0 @ SX1 @ SX2 )
| ( r1_group_3 @ SX0 @ SX2 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5466]) ).
thf(5611,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( u1_struct_0 @ SX0 ) )
| ( ( k3_group_1 @ SX0 @ ( k3_group_1 @ SX0 @ SX1 ) )
= SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5274]) ).
thf(5612,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( u1_struct_0 @ SX0 ) )
| ( ( k2_group_3 @ SX0 @ SX1 @ ( k2_group_1 @ SX0 ) )
= SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5451]) ).
thf(5613,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)],[5230]) ).
thf(5614,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( l1_group_1 @ SX0 ) )
| ~ ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( u1_struct_0 @ SX0 ) )
| ! [SX2: $i] :
( ~ ( m1_subset_1 @ SX2 @ ( u1_struct_0 @ SX0 ) )
| ! [SX3: $i] :
( ~ ( m1_subset_1 @ SX3 @ ( u1_struct_0 @ SX0 ) )
| ( ( k1_group_1 @ SX0 @ ( k1_group_1 @ SX0 @ SX1 @ SX2 ) @ SX3 )
= ( k1_group_1 @ SX0 @ SX1 @ ( k1_group_1 @ SX0 @ SX2 @ SX3 ) ) ) ) ) )
| ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( u1_struct_0 @ SX0 ) )
| ~ ! [SX2: $i] :
( ~ ( m1_subset_1 @ SX2 @ ( u1_struct_0 @ SX0 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SX0 @ SX2 @ SX1 )
!= SX2 )
| ( ( k1_group_1 @ SX0 @ SX1 @ SX2 )
!= SX2 ) )
| ~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SX3 @ ( u1_struct_0 @ SX0 ) )
| ( ( k1_group_1 @ SX0 @ SX2 @ SX3 )
!= SX1 ) )
| ( ( k1_group_1 @ SX0 @ SX3 @ SX2 )
!= SX1 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5260]) ).
thf(5615,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( u1_struct_0 @ SX0 ) )
| ! [SX2: $i] :
( ~ ( m1_subset_1 @ SX2 @ ( u1_struct_0 @ SX0 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( ( k1_group_1 @ SX0 @ ( k1_group_1 @ SX0 @ SX1 @ SX2 ) @ ( k3_group_1 @ SX0 @ SX2 ) )
!= SX1 )
| ( ( k1_group_1 @ SX0 @ ( k1_group_1 @ SX0 @ SX1 @ ( k3_group_1 @ SX0 @ SX2 ) ) @ SX2 )
!= SX1 ) )
| ( ( k1_group_1 @ SX0 @ ( k1_group_1 @ SX0 @ ( k3_group_1 @ SX0 @ SX2 ) @ SX2 ) @ SX1 )
!= SX1 ) )
| ( ( k1_group_1 @ SX0 @ ( k1_group_1 @ SX0 @ SX2 @ ( k3_group_1 @ SX0 @ SX2 ) ) @ SX1 )
!= SX1 ) )
| ( ( k1_group_1 @ SX0 @ SX1 @ ( k1_group_1 @ SX0 @ SX2 @ ( k3_group_1 @ SX0 @ SX2 ) ) )
!= SX1 ) )
| ( ( k1_group_1 @ SX0 @ SX1 @ ( k1_group_1 @ SX0 @ ( k3_group_1 @ SX0 @ SX2 ) @ SX2 ) )
!= SX1 ) )
| ( ( k1_group_1 @ SX0 @ ( k3_group_1 @ SX0 @ SX2 ) @ ( k1_group_1 @ SX0 @ SX2 @ SX1 ) )
!= SX1 ) )
| ( ( k1_group_1 @ SX0 @ SX2 @ ( k1_group_1 @ SX0 @ ( k3_group_1 @ SX0 @ SX2 ) @ SX1 ) )
!= SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5445]) ).
thf(5616,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v1_group_1 @ SX0 ) )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ~ ~ ( v3_struct_0 @ SX1 ) )
| ~ ( v1_group_1 @ SX1 ) )
| ~ ( v3_group_1 @ SX1 ) )
| ~ ( v4_group_1 @ SX1 ) )
| ~ ( l1_group_1 @ SX1 ) )
| ( r2_group_6 @ SX0 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5518]) ).
thf(5617,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( u1_struct_0 @ SX0 ) )
| ~ ( ( ( k2_group_3 @ SX0 @ SX1 @ ( k3_group_1 @ SX0 @ SX1 ) )
!= SX1 )
| ( ( k2_group_3 @ SX0 @ ( k3_group_1 @ SX0 @ SX1 ) @ SX1 )
!= ( k3_group_1 @ SX0 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5453]) ).
thf(5618,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( u1_struct_0 @ SX0 ) )
| ! [SX2: $i] :
( ~ ( m1_subset_1 @ SX2 @ ( u1_struct_0 @ SX0 ) )
| ! [SX3: $i] :
( ~ ( m1_subset_1 @ SX3 @ ( u1_struct_0 @ SX0 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SX0 @ SX1 @ SX2 )
!= SX3 )
| ( SX2
= ( k1_group_1 @ SX0 @ ( k3_group_1 @ SX0 @ SX1 ) @ SX3 ) ) )
| ~ ( ( SX2
!= ( k1_group_1 @ SX0 @ ( k3_group_1 @ SX0 @ SX1 ) @ SX3 ) )
| ( ( k1_group_1 @ SX0 @ SX1 @ SX2 )
= SX3 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5276]) ).
thf(5619,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( u1_struct_0 @ SX0 ) )
| ( ( k3_group_1 @ SX0 @ SX1 )
!= ( k2_group_1 @ SX0 ) )
| ( SX1
= ( k2_group_1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5273]) ).
thf(5620,plain,
( ( ~ ! [SX0: $i] :
~ ~ ( ~ ~ ( ~ ( l1_group_1 @ SX0 )
| ~ ~ ( v3_struct_0 @ SX0 ) )
| ~ ( v1_group_1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5251]) ).
thf(5621,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ~ ( v5_group_1 @ ( k2_group_1 @ SX0 ) @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5294]) ).
thf(5622,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ! [SX1: $i] :
( ~ ( m1_subset_1 @ SX1 @ ( u1_struct_0 @ SX0 ) )
| ! [SX2: $i] :
( ~ ( m1_subset_1 @ SX2 @ ( u1_struct_0 @ SX0 ) )
| ~ ! [SX3: $i] :
~ ~ ( ~ ( m1_subset_1 @ SX3 @ ( u1_struct_0 @ SX0 ) )
| ( ( k1_group_1 @ SX0 @ SX3 @ SX1 )
!= SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5279]) ).
thf(5623,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SX0 )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( l1_group_1 @ SX0 ) )
| ~ ! [SX1: $i] :
~ ( m1_group_2 @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5444]) ).
thf(5624,plain,
( ( ~ ! [SX0: $i] :
~ ~ ( ~ ( l2_rlvect_1 @ SX0 )
| ~ ~ ( v3_struct_0 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5231]) ).
thf(5625,plain,
! [SV1: $i] :
( ( m1_subset_1 @ ( k8_subset_1 @ SV1 ) @ SV1 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4751]) ).
thf(5626,plain,
( ( v3_struct_0 @ sK1_A )
= $false ),
inference(extcnf_not_pos,[status(thm)],[5536]) ).
thf(5627,plain,
( ( ! [SX0: $i] :
~ ~ ( ~ ( l1_struct_0 @ SX0 )
| ~ ~ ( v3_struct_0 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[5538]) ).
thf(5628,plain,
! [SV2: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV2 )
| ~ ( v1_group_1 @ SV2 ) )
| ~ ( v3_group_1 @ SV2 ) )
| ~ ( v4_group_1 @ SV2 ) )
| ~ ( l1_group_1 @ SV2 ) )
| ! [SY222: $i] :
( ~ ( m1_subset_1 @ SY222 @ ( u1_struct_0 @ SV2 ) )
| ! [SY223: $i] :
( ~ ( m1_subset_1 @ SY223 @ ( u1_struct_0 @ SV2 ) )
| ( ( k6_autgroup @ SV2 @ ( k1_group_1 @ SV2 @ SY222 @ SY223 ) )
= ( k7_funct_2 @ ( u1_struct_0 @ SV2 ) @ ( u1_struct_0 @ SV2 ) @ ( u1_struct_0 @ SV2 ) @ ( k6_autgroup @ SV2 @ SY222 ) @ ( k6_autgroup @ SV2 @ SY223 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5539]) ).
thf(5629,plain,
! [SV3: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV3 )
| ~ ( v3_group_1 @ SV3 ) )
| ~ ( v4_group_1 @ SV3 ) )
| ~ ( l1_group_1 @ SV3 ) )
| ! [SY224: $i] :
( ~ ( m1_subset_1 @ SY224 @ ( u1_struct_0 @ SV3 ) )
| ! [SY225: $i] :
( ~ ( m1_subset_1 @ SY225 @ ( u1_struct_0 @ SV3 ) )
| ~ ( ( ( k1_group_1 @ SV3 @ SY224 @ SY225 )
= SY224 )
| ( ( k1_group_1 @ SV3 @ SY225 @ SY224 )
= SY224 ) )
| ( SY225
= ( k2_group_1 @ SV3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5540]) ).
thf(5630,plain,
! [SV4: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV4 )
| ~ ( v3_group_1 @ SV4 ) )
| ~ ( v4_group_1 @ SV4 ) )
| ~ ( l1_group_1 @ SV4 ) )
| ! [SY226: $i] :
( ~ ( m1_group_2 @ SY226 @ SV4 )
| ! [SY227: $i] :
( ~ ( m1_group_2 @ SY227 @ SV4 )
| ( ( k2_group_1 @ SY226 )
= ( k2_group_1 @ SY227 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5541]) ).
thf(5631,plain,
! [SV5: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV5 )
| ~ ( v3_group_1 @ SV5 ) )
| ~ ( v4_group_1 @ SV5 ) )
| ~ ( l1_group_1 @ SV5 ) )
| ! [SY228: $i] :
( ~ ( m1_subset_1 @ SY228 @ ( u1_struct_0 @ SV5 ) )
| ! [SY229: $i] :
( ~ ( m1_subset_1 @ SY229 @ ( u1_struct_0 @ SV5 ) )
| ~ ( ( ( k2_group_3 @ SV5 @ ( k2_group_3 @ SV5 @ SY228 @ SY229 ) @ ( k3_group_1 @ SV5 @ SY229 ) )
!= SY228 )
| ( ( k2_group_3 @ SV5 @ ( k2_group_3 @ SV5 @ SY228 @ ( k3_group_1 @ SV5 @ SY229 ) ) @ SY229 )
!= SY228 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5542]) ).
thf(5632,plain,
! [SV6: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV6 )
| ~ ( v3_group_1 @ SV6 ) )
| ~ ( v4_group_1 @ SV6 ) )
| ~ ( l1_group_1 @ SV6 ) )
| ! [SY230: $i] :
( ~ ( m1_subset_1 @ SY230 @ ( u1_struct_0 @ SV6 ) )
| ( ( k2_group_3 @ SV6 @ ( k2_group_1 @ SV6 ) @ SY230 )
= ( k2_group_1 @ SV6 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5543]) ).
thf(5633,plain,
! [SV7: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV7 )
| ~ ( v3_group_1 @ SV7 ) )
| ~ ( v4_group_1 @ SV7 ) )
| ~ ( l1_group_1 @ SV7 ) )
| ! [SY231: $i] :
( ~ ( m1_subset_1 @ SY231 @ ( u1_struct_0 @ SV7 ) )
| ~ ( ( r2_group_3 @ SV7 @ SY231 @ ( k2_group_1 @ SV7 ) )
| ( r2_group_3 @ SV7 @ ( k2_group_1 @ SV7 ) @ SY231 ) )
| ( SY231
= ( k2_group_1 @ SV7 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5544]) ).
thf(5634,plain,
! [SV8: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV8 )
| ~ ( v3_group_1 @ SV8 ) )
| ~ ( v4_group_1 @ SV8 ) )
| ~ ( l1_group_1 @ SV8 ) )
| ! [SY232: $i] :
( ~ ( m1_subset_1 @ SY232 @ ( u1_struct_0 @ SV8 ) )
| ! [SY233: $i] :
( ~ ( m1_subset_1 @ SY233 @ ( u1_struct_0 @ SV8 ) )
| ! [SY234: $i] :
( ~ ( m1_subset_1 @ SY234 @ ( u1_struct_0 @ SV8 ) )
| ~ ( ( ( k1_group_1 @ SV8 @ SY232 @ SY233 )
= ( k1_group_1 @ SV8 @ SY232 @ SY234 ) )
| ( ( k1_group_1 @ SV8 @ SY233 @ SY232 )
= ( k1_group_1 @ SV8 @ SY234 @ SY232 ) ) )
| ( SY233 = SY234 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5545]) ).
thf(5635,plain,
! [SV9: $i] :
( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV9 )
| ~ ( l1_group_1 @ SV9 ) )
| ( m1_subset_1 @ ( k2_group_1 @ SV9 ) @ ( u1_struct_0 @ SV9 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5546]) ).
thf(5636,plain,
! [SV10: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV10 )
| ~ ( v3_group_1 @ SV10 ) )
| ~ ( v4_group_1 @ SV10 ) )
| ~ ( l1_group_1 @ SV10 ) )
| ! [SY235: $i] :
( ~ ( m1_subset_1 @ SY235 @ ( u1_struct_0 @ SV10 ) )
| ! [SY236: $i] :
( ~ ( m1_subset_1 @ SY236 @ ( u1_struct_0 @ SV10 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV10 @ SY235 @ SY236 )
!= ( k1_group_1 @ SV10 @ SY236 @ SY235 ) )
| ( ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY235 ) @ ( k3_group_1 @ SV10 @ SY236 ) )
= ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY236 ) @ ( k3_group_1 @ SV10 @ SY235 ) ) ) )
| ~ ( ( ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY235 ) @ ( k3_group_1 @ SV10 @ SY236 ) )
!= ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY236 ) @ ( k3_group_1 @ SV10 @ SY235 ) ) )
| ( ( k1_group_1 @ SV10 @ SY235 @ SY236 )
= ( k1_group_1 @ SV10 @ SY236 @ SY235 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5547]) ).
thf(5637,plain,
! [SV11: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV11 )
| ~ ( v1_group_1 @ SV11 ) )
| ~ ( v3_group_1 @ SV11 ) )
| ~ ( v4_group_1 @ SV11 ) )
| ~ ( l1_group_1 @ SV11 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k3_autgroup @ SV11 ) )
| ~ ( v1_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( v3_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( v4_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( l1_group_1 @ ( k3_autgroup @ SV11 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5548]) ).
thf(5638,plain,
! [SV12: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV12 )
| ~ ( v3_group_1 @ SV12 ) )
| ~ ( l1_group_1 @ SV12 ) )
| ! [SY237: $i] :
( ~ ( m1_group_2 @ SY237 @ SV12 )
| ! [SY238: $i] :
( ~ ( m1_subset_1 @ SY238 @ ( u1_struct_0 @ SY237 ) )
| ( m1_subset_1 @ SY238 @ ( u1_struct_0 @ SV12 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5549]) ).
thf(5639,plain,
! [SV13: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV13 )
| ~ ( v3_group_1 @ SV13 ) )
| ~ ( v4_group_1 @ SV13 ) )
| ~ ( l1_group_1 @ SV13 ) )
| ! [SY239: $i] :
( ~ ( m1_subset_1 @ SY239 @ ( u1_struct_0 @ SV13 ) )
| ! [SY240: $i] :
( ~ ( m1_subset_1 @ SY240 @ ( u1_struct_0 @ SV13 ) )
| ~ ( ~ ~ ( ( ( k3_group_5 @ SV13 @ SY239 @ SY240 @ ( k2_group_1 @ SV13 ) )
!= ( k2_group_1 @ SV13 ) )
| ( ( k3_group_5 @ SV13 @ SY239 @ ( k2_group_1 @ SV13 ) @ SY240 )
!= ( k2_group_1 @ SV13 ) ) )
| ( ( k3_group_5 @ SV13 @ ( k2_group_1 @ SV13 ) @ SY239 @ SY240 )
!= ( k2_group_1 @ SV13 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5550]) ).
thf(5640,plain,
! [SV14: $i] :
( ( ~ ( l1_group_1 @ SV14 )
| ( l1_struct_0 @ SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5551]) ).
thf(5641,plain,
! [SV15: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV15 )
| ~ ( v3_group_1 @ SV15 ) )
| ~ ( v4_group_1 @ SV15 ) )
| ~ ( l1_group_1 @ SV15 ) )
| ! [SY241: $i] :
( ~ ( m1_subset_1 @ SY241 @ ( u1_struct_0 @ SV15 ) )
| ! [SY242: $i] :
( ~ ( m1_subset_1 @ SY242 @ ( u1_struct_0 @ SV15 ) )
| ( ( k2_group_3 @ SV15 @ ( k3_group_1 @ SV15 @ SY241 ) @ SY242 )
= ( k3_group_1 @ SV15 @ ( k2_group_3 @ SV15 @ SY241 @ SY242 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5552]) ).
thf(5642,plain,
! [SV16: $i] :
( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV16 )
| ~ ( l1_group_1 @ SV16 ) )
| ~ ( ~ ( ~ ( v3_group_1 @ SV16 )
| ~ ! [SY243: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY243 @ ( u1_struct_0 @ SV16 ) )
| ~ ! [SY244: $i] :
( ~ ( m1_subset_1 @ SY244 @ ( u1_struct_0 @ SV16 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV16 @ SY244 @ SY243 )
!= SY244 )
| ( ( k1_group_1 @ SV16 @ SY243 @ SY244 )
!= SY244 ) )
| ~ ~ ! [SY245: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY245 @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ SY244 @ SY245 )
!= SY243 ) )
| ( ( k1_group_1 @ SV16 @ SY245 @ SY244 )
!= SY243 ) ) ) ) ) )
| ~ ( ~ ~ ! [SY246: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY246 @ ( u1_struct_0 @ SV16 ) )
| ~ ! [SY247: $i] :
( ~ ( m1_subset_1 @ SY247 @ ( u1_struct_0 @ SV16 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV16 @ SY247 @ SY246 )
!= SY247 )
| ( ( k1_group_1 @ SV16 @ SY246 @ SY247 )
!= SY247 ) )
| ~ ~ ! [SY248: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY248 @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ SY247 @ SY248 )
!= SY246 ) )
| ( ( k1_group_1 @ SV16 @ SY248 @ SY247 )
!= SY246 ) ) ) ) )
| ( v3_group_1 @ SV16 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5553]) ).
thf(5643,plain,
! [SV17: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV17 )
| ~ ( v3_group_1 @ SV17 ) )
| ~ ( v4_group_1 @ SV17 ) )
| ~ ( l1_group_1 @ SV17 ) )
| ! [SY249: $i] :
( ~ ( m1_subset_1 @ SY249 @ ( u1_struct_0 @ SV17 ) )
| ! [SY250: $i] :
( ~ ( m1_subset_1 @ SY250 @ ( u1_struct_0 @ SV17 ) )
| ( ( k2_group_3 @ SV17 @ SY249 @ SY250 )
!= ( k2_group_1 @ SV17 ) )
| ( SY249
= ( k2_group_1 @ SV17 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5554]) ).
thf(5644,plain,
! [SV18: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV18 )
| ~ ( v3_group_1 @ SV18 ) )
| ~ ( v4_group_1 @ SV18 ) )
| ~ ( l1_group_1 @ SV18 ) )
| ! [SY251: $i] :
( ~ ( m1_subset_1 @ SY251 @ ( u1_struct_0 @ SV18 ) )
| ( r1_group_3 @ SV18 @ SY251 @ SY251 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5555]) ).
thf(5645,plain,
! [SV19: $i] :
( ( ! [SY252: $i,SY253: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV19 )
| ~ ( v3_group_1 @ SV19 ) )
| ~ ( v4_group_1 @ SV19 ) )
| ~ ( l1_group_1 @ SV19 ) )
| ~ ( m1_subset_1 @ SY252 @ ( u1_struct_0 @ SV19 ) ) )
| ~ ( m1_subset_1 @ SY253 @ ( u1_struct_0 @ SV19 ) ) )
| ( m1_subset_1 @ ( k2_group_3 @ SV19 @ SY252 @ SY253 ) @ ( u1_struct_0 @ SV19 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5556]) ).
thf(5646,plain,
! [SV20: $i] :
( ( ~ ( l1_vectsp_1 @ SV20 )
| ( l1_group_1 @ SV20 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5557]) ).
thf(5647,plain,
! [SV21: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV21 )
| ~ ( v3_group_1 @ SV21 ) )
| ~ ( v4_group_1 @ SV21 ) )
| ~ ( l1_group_1 @ SV21 ) )
| ! [SY254: $i] :
( ~ ( m1_subset_1 @ SY254 @ ( u1_struct_0 @ SV21 ) )
| ! [SY255: $i] :
( ~ ( m1_subset_1 @ SY255 @ ( u1_struct_0 @ SV21 ) )
| ! [SY256: $i] :
( ~ ( m1_subset_1 @ SY256 @ ( u1_struct_0 @ SV21 ) )
| ~ ~ ( ~ ( r2_group_3 @ SV21 @ SY254 @ SY255 )
| ~ ( r2_group_3 @ SV21 @ SY255 @ SY256 ) )
| ( r2_group_3 @ SV21 @ SY254 @ SY256 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5558]) ).
thf(5648,plain,
! [SV22: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV22 )
| ~ ( v1_group_1 @ SV22 ) )
| ~ ( v3_group_1 @ SV22 ) )
| ~ ( v4_group_1 @ SV22 ) )
| ~ ( l1_group_1 @ SV22 ) )
| ! [SY257: $i] :
( ~ ~ ( ~ ( v1_group_1 @ SY257 )
| ~ ( m1_group_2 @ SY257 @ SV22 ) )
| ( ( u1_struct_0 @ SY257 )
!= ( u1_struct_0 @ SV22 ) )
| ( SY257 = SV22 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5559]) ).
thf(5649,plain,
! [SV23: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV23 )
| ~ ( v3_group_1 @ SV23 ) )
| ~ ( v4_group_1 @ SV23 ) )
| ~ ( l1_group_1 @ SV23 ) )
| ! [SY258: $i] :
( ~ ( m1_subset_1 @ SY258 @ ( u1_struct_0 @ SV23 ) )
| ! [SY259: $i] :
( ~ ( m1_subset_1 @ SY259 @ ( u1_struct_0 @ SV23 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV23 @ SY258 @ SY259 )
!= ( k1_group_1 @ SV23 @ SY259 @ SY258 ) )
| ( ( k3_group_1 @ SV23 @ ( k1_group_1 @ SV23 @ SY258 @ SY259 ) )
= ( k1_group_1 @ SV23 @ ( k3_group_1 @ SV23 @ SY258 ) @ ( k3_group_1 @ SV23 @ SY259 ) ) ) )
| ~ ( ( ( k3_group_1 @ SV23 @ ( k1_group_1 @ SV23 @ SY258 @ SY259 ) )
!= ( k1_group_1 @ SV23 @ ( k3_group_1 @ SV23 @ SY258 ) @ ( k3_group_1 @ SV23 @ SY259 ) ) )
| ( ( k1_group_1 @ SV23 @ SY258 @ SY259 )
= ( k1_group_1 @ SV23 @ SY259 @ SY258 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5560]) ).
thf(5650,plain,
! [SV24: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV24 )
| ~ ( v3_group_1 @ SV24 ) )
| ~ ( v4_group_1 @ SV24 ) )
| ~ ( l1_group_1 @ SV24 ) )
| ! [SY260: $i] :
( ~ ( m1_subset_1 @ SY260 @ ( u1_struct_0 @ SV24 ) )
| ~ ( ( ( k2_group_5 @ SV24 @ ( k2_group_1 @ SV24 ) @ SY260 )
!= ( k2_group_1 @ SV24 ) )
| ( ( k2_group_5 @ SV24 @ SY260 @ ( k2_group_1 @ SV24 ) )
!= ( k2_group_1 @ SV24 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5561]) ).
thf(5651,plain,
! [SV25: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV25 )
| ~ ( v3_group_1 @ SV25 ) )
| ~ ( v4_group_1 @ SV25 ) )
| ~ ( l1_group_1 @ SV25 ) )
| ( m1_group_2 @ SV25 @ SV25 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5562]) ).
thf(5652,plain,
! [SV26: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV26 )
| ~ ( v3_group_1 @ SV26 ) )
| ~ ( v4_group_1 @ SV26 ) )
| ~ ( l1_group_1 @ SV26 ) )
| ! [SY261: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY261 )
| ~ ( v3_group_1 @ SY261 ) )
| ~ ( v4_group_1 @ SY261 ) )
| ~ ( l1_group_1 @ SY261 ) )
| ! [SY262: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY262 )
| ~ ( v3_group_1 @ SY262 ) )
| ~ ( v4_group_1 @ SY262 ) )
| ~ ( l1_group_1 @ SY262 ) )
| ~ ~ ( ~ ( m1_group_2 @ SV26 @ SY261 )
| ~ ( m1_group_2 @ SY261 @ SY262 ) )
| ( m1_group_2 @ SV26 @ SY262 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5563]) ).
thf(5653,plain,
! [SV27: $i] :
( ( ! [SY263: $i] :
( ~ ( m1_subset_1 @ SY263 @ SV27 )
| ~ ! [SY264: $i] :
~ ( m3_realset1 @ SY264 @ SV27 @ SY263 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5564]) ).
thf(5654,plain,
! [SV28: $i] :
( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV28 )
| ~ ( l1_group_1 @ SV28 ) )
| ~ ~ ( ~ ! [SY265: $i] :
( ~ ( m1_subset_1 @ SY265 @ ( u1_struct_0 @ SV28 ) )
| ! [SY266: $i] :
( ~ ( m1_subset_1 @ SY266 @ ( u1_struct_0 @ SV28 ) )
| ! [SY267: $i] :
( ~ ( m1_subset_1 @ SY267 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ ( k1_group_1 @ SV28 @ SY265 @ SY266 ) @ SY267 )
= ( k1_group_1 @ SV28 @ SY265 @ ( k1_group_1 @ SV28 @ SY266 @ SY267 ) ) ) ) ) )
| ~ ! [SY268: $i] :
( ~ ( m1_subset_1 @ SY268 @ ( u1_struct_0 @ SV28 ) )
| ! [SY269: $i] :
( ~ ( m1_subset_1 @ SY269 @ ( u1_struct_0 @ SV28 ) )
| ~ ( ~ ~ ! [SY270: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY270 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY268 @ SY270 )
!= SY269 ) )
| ~ ~ ! [SY271: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY271 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY271 @ SY268 )
!= SY269 ) ) ) ) ) )
| ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5565]) ).
thf(5655,plain,
( ( ! [SX0: $i] :
~ ( l1_group_1 @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[5566]) ).
thf(5656,plain,
! [SV29: $i] :
( ( ! [SY272: $i,SY273: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV29 )
| ~ ( v3_group_1 @ SV29 ) )
| ~ ( v4_group_1 @ SV29 ) )
| ~ ( l1_group_1 @ SV29 ) )
| ~ ( m1_subset_1 @ SY272 @ ( u1_struct_0 @ SV29 ) ) )
| ~ ( m1_subset_1 @ SY273 @ ( u1_struct_0 @ SV29 ) ) )
| ( m1_subset_1 @ ( k2_group_5 @ SV29 @ SY272 @ SY273 ) @ ( u1_struct_0 @ SV29 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5567]) ).
thf(5657,plain,
! [SV30: $i] :
( ( ! [SY274: $i,SY275: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV30 )
| ~ ( v3_group_1 @ SV30 ) )
| ~ ( v4_group_1 @ SV30 ) )
| ~ ( l1_group_1 @ SV30 ) )
| ~ ( m1_subset_1 @ SY274 @ ( u1_struct_0 @ SV30 ) ) )
| ~ ( m1_subset_1 @ SY275 @ ( u1_struct_0 @ SV30 ) ) )
| ( r2_group_3 @ SV30 @ SY274 @ SY274 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5568]) ).
thf(5658,plain,
( ( ! [SX0: $i] :
~ ~ ( ~ ( l2_struct_0 @ SX0 )
| ~ ~ ( v3_struct_0 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[5569]) ).
thf(5659,plain,
! [SV31: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV31 )
| ~ ( v3_group_1 @ SV31 ) )
| ~ ( v4_group_1 @ SV31 ) )
| ~ ( l1_group_1 @ SV31 ) )
| ! [SY276: $i] :
( ~ ( m1_subset_1 @ SY276 @ ( u1_struct_0 @ SV31 ) )
| ! [SY277: $i] :
( ~ ( m1_subset_1 @ SY277 @ ( u1_struct_0 @ SV31 ) )
| ( ( k3_group_1 @ SV31 @ SY276 )
!= ( k3_group_1 @ SV31 @ SY277 ) )
| ( SY276 = SY277 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5570]) ).
thf(5660,plain,
! [SV32: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV32 )
| ~ ( v3_group_1 @ SV32 ) )
| ~ ( v4_group_1 @ SV32 ) )
| ~ ( l1_group_1 @ SV32 ) )
| ! [SY278: $i] :
( ~ ( m1_subset_1 @ SY278 @ ( u1_struct_0 @ SV32 ) )
| ~ ( ( ( k2_group_5 @ SV32 @ SY278 @ ( k3_group_1 @ SV32 @ SY278 ) )
!= ( k2_group_1 @ SV32 ) )
| ( ( k2_group_5 @ SV32 @ ( k3_group_1 @ SV32 @ SY278 ) @ SY278 )
!= ( k2_group_1 @ SV32 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5571]) ).
thf(5661,plain,
! [SV33: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV33 )
| ~ ( v3_group_1 @ SV33 ) )
| ~ ( v4_group_1 @ SV33 ) )
| ~ ( l1_group_1 @ SV33 ) )
| ! [SY279: $i] :
( ~ ( m1_subset_1 @ SY279 @ ( u1_struct_0 @ SV33 ) )
| ! [SY280: $i] :
( ~ ( m1_subset_1 @ SY280 @ ( u1_struct_0 @ SV33 ) )
| ! [SY281: $i] :
( ~ ( m1_subset_1 @ SY281 @ ( u1_struct_0 @ SV33 ) )
| ( ( k2_group_3 @ SV33 @ SY279 @ SY280 )
!= ( k2_group_3 @ SV33 @ SY281 @ SY280 ) )
| ( SY279 = SY281 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5572]) ).
thf(5662,plain,
! [SV34: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV34 )
| ~ ( v3_group_1 @ SV34 ) )
| ~ ( v4_group_1 @ SV34 ) )
| ~ ( l1_group_1 @ SV34 ) )
| ! [SY282: $i] :
( ~ ( m1_subset_1 @ SY282 @ ( u1_struct_0 @ SV34 ) )
| ! [SY283: $i] :
( ~ ( m1_subset_1 @ SY283 @ ( u1_struct_0 @ SV34 ) )
| ~ ( ( ( k1_group_1 @ SV34 @ SY282 @ SY283 )
= ( k2_group_1 @ SV34 ) )
| ( ( k1_group_1 @ SV34 @ SY283 @ SY282 )
= ( k2_group_1 @ SV34 ) ) )
| ~ ( ( SY282
!= ( k3_group_1 @ SV34 @ SY283 ) )
| ( SY283
!= ( k3_group_1 @ SV34 @ SY282 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5573]) ).
thf(5663,plain,
! [SV35: $i] :
( ( ! [SY284: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV35 )
| ~ ( v3_group_1 @ SV35 ) )
| ~ ( v4_group_1 @ SV35 ) )
| ~ ( l1_group_1 @ SV35 ) )
| ~ ~ ( v3_struct_0 @ SY284 ) )
| ~ ( v3_group_1 @ SY284 ) )
| ~ ( v4_group_1 @ SY284 ) )
| ~ ( l1_group_1 @ SY284 ) )
| ( r1_group_6 @ SV35 @ SV35 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5574]) ).
thf(5664,plain,
! [SV36: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV36 )
| ~ ( v3_group_1 @ SV36 ) )
| ~ ( v4_group_1 @ SV36 ) )
| ~ ( l1_group_1 @ SV36 ) )
| ! [SY285: $i] :
( ~ ( m1_subset_1 @ SY285 @ ( u1_struct_0 @ SV36 ) )
| ! [SY286: $i] :
( ~ ( m1_subset_1 @ SY286 @ ( u1_struct_0 @ SV36 ) )
| ! [SY287: $i] :
( ~ ( m1_subset_1 @ SY287 @ ( u1_struct_0 @ SV36 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV36 @ SY285 @ SY286 )
!= SY287 )
| ( SY285
= ( k1_group_1 @ SV36 @ SY287 @ ( k3_group_1 @ SV36 @ SY286 ) ) ) )
| ~ ( ( SY285
!= ( k1_group_1 @ SV36 @ SY287 @ ( k3_group_1 @ SV36 @ SY286 ) ) )
| ( ( k1_group_1 @ SV36 @ SY285 @ SY286 )
= SY287 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5575]) ).
thf(5665,plain,
! [SV37: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV37 )
| ~ ( v3_group_1 @ SV37 ) )
| ~ ( v4_group_1 @ SV37 ) )
| ~ ( l1_group_1 @ SV37 ) )
| ! [SY288: $i] :
( ~ ( m1_group_2 @ SY288 @ SV37 )
| ( v4_group_1 @ SY288 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5576]) ).
thf(5666,plain,
( ( ! [SX0: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( l1_group_1 @ SX0 )
| ~ ~ ( v3_struct_0 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) )
| ~ ( v7_group_1 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[5577]) ).
thf(5667,plain,
! [SV38: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV38 )
| ~ ( v3_group_1 @ SV38 ) )
| ~ ( l1_group_1 @ SV38 ) )
| ! [SY289: $i] :
( ~ ( m1_group_2 @ SY289 @ SV38 )
| ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY289 )
| ~ ( v3_group_1 @ SY289 ) )
| ~ ( l1_group_1 @ SY289 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5578]) ).
thf(5668,plain,
! [SV39: $i] :
( ( ~ ! [SY290: $i] :
~ ( m1_subset_1 @ SY290 @ SV39 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5579]) ).
thf(5669,plain,
! [SV40: $i] :
( ( ~ ( l1_group_1 @ SV40 )
| ~ ~ ( ~ ~ ( v3_struct_0 @ SV40 )
| ~ ( v3_group_1 @ SV40 ) )
| ~ ( ~ ~ ( v3_struct_0 @ SV40 )
| ~ ( v2_group_1 @ SV40 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5580]) ).
thf(5670,plain,
! [SV41: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV41 )
| ~ ( v3_group_1 @ SV41 ) )
| ~ ( v4_group_1 @ SV41 ) )
| ~ ( l1_group_1 @ SV41 ) )
| ! [SY291: $i] :
( ~ ( m1_subset_1 @ SY291 @ ( u1_struct_0 @ SV41 ) )
| ! [SY292: $i] :
( ~ ( m1_subset_1 @ SY292 @ ( u1_struct_0 @ SV41 ) )
| ( ( k3_group_1 @ SV41 @ ( k2_group_5 @ SV41 @ SY291 @ SY292 ) )
= ( k2_group_5 @ SV41 @ SY292 @ SY291 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5581]) ).
thf(5671,plain,
! [SV42: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV42 )
| ~ ( v3_group_1 @ SV42 ) )
| ~ ( v4_group_1 @ SV42 ) )
| ~ ( l1_group_1 @ SV42 ) )
| ! [SY293: $i] :
( ~ ( m1_subset_1 @ SY293 @ ( u1_struct_0 @ SV42 ) )
| ! [SY294: $i] :
( ~ ( m1_subset_1 @ SY294 @ ( u1_struct_0 @ SV42 ) )
| ( ( k3_group_5 @ SV42 @ SY293 @ SY293 @ SY294 )
= ( k2_group_1 @ SV42 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5582]) ).
thf(5672,plain,
! [SV43: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV43 )
| ~ ( v3_group_1 @ SV43 ) )
| ~ ( l1_group_1 @ SV43 ) )
| ! [SY295: $i] :
( ~ ( m1_subset_1 @ SY295 @ ( u1_struct_0 @ SV43 ) )
| ~ ! [SY296: $i] :
( ~ ( m1_subset_1 @ SY296 @ ( u1_struct_0 @ SV43 ) )
| ~ ( ( ( k1_group_1 @ SV43 @ SY296 @ SY295 )
!= SY296 )
| ( ( k1_group_1 @ SV43 @ SY295 @ SY296 )
!= SY296 ) ) )
| ( SY295
= ( k2_group_1 @ SV43 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5583]) ).
thf(5673,plain,
( ( ! [SX0: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( l1_group_1 @ SX0 )
| ~ ~ ( v3_struct_0 @ SX0 ) )
| ~ ( v1_group_1 @ SX0 ) )
| ~ ( v2_group_1 @ SX0 ) )
| ~ ( v3_group_1 @ SX0 ) )
| ~ ( v4_group_1 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[5584]) ).
thf(5674,plain,
! [SV44: $i] :
( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV44 )
| ~ ( l1_group_1 @ SV44 ) )
| ~ ( ~ ( ~ ( v4_group_1 @ SV44 )
| ! [SY297: $i] :
( ~ ( m1_subset_1 @ SY297 @ ( u1_struct_0 @ SV44 ) )
| ! [SY298: $i] :
( ~ ( m1_subset_1 @ SY298 @ ( u1_struct_0 @ SV44 ) )
| ! [SY299: $i] :
( ~ ( m1_subset_1 @ SY299 @ ( u1_struct_0 @ SV44 ) )
| ( ( k1_group_1 @ SV44 @ ( k1_group_1 @ SV44 @ SY297 @ SY298 ) @ SY299 )
= ( k1_group_1 @ SV44 @ SY297 @ ( k1_group_1 @ SV44 @ SY298 @ SY299 ) ) ) ) ) ) )
| ~ ( ~ ! [SY300: $i] :
( ~ ( m1_subset_1 @ SY300 @ ( u1_struct_0 @ SV44 ) )
| ! [SY301: $i] :
( ~ ( m1_subset_1 @ SY301 @ ( u1_struct_0 @ SV44 ) )
| ! [SY302: $i] :
( ~ ( m1_subset_1 @ SY302 @ ( u1_struct_0 @ SV44 ) )
| ( ( k1_group_1 @ SV44 @ ( k1_group_1 @ SV44 @ SY300 @ SY301 ) @ SY302 )
= ( k1_group_1 @ SV44 @ SY300 @ ( k1_group_1 @ SV44 @ SY301 @ SY302 ) ) ) ) ) )
| ( v4_group_1 @ SV44 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5585]) ).
thf(5675,plain,
! [SV45: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV45 )
| ~ ( v3_group_1 @ SV45 ) )
| ~ ( v4_group_1 @ SV45 ) )
| ~ ( l1_group_1 @ SV45 ) )
| ! [SY303: $i] :
( ~ ( m1_subset_1 @ SY303 @ ( u1_struct_0 @ SV45 ) )
| ! [SY304: $i] :
( ~ ( m1_subset_1 @ SY304 @ ( u1_struct_0 @ SV45 ) )
| ( ( k3_group_1 @ SV45 @ ( k1_group_1 @ SV45 @ SY303 @ SY304 ) )
= ( k1_group_1 @ SV45 @ ( k3_group_1 @ SV45 @ SY304 ) @ ( k3_group_1 @ SV45 @ SY303 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5586]) ).
thf(5676,plain,
! [SV46: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV46 )
| ~ ( v1_group_1 @ SV46 ) )
| ~ ( v3_group_1 @ SV46 ) )
| ~ ( v4_group_1 @ SV46 ) )
| ~ ( l1_group_1 @ SV46 ) )
| ( ( k6_autgroup @ SV46 @ ( k2_group_1 @ SV46 ) )
= ( k6_partfun1 @ ( u1_struct_0 @ SV46 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5587]) ).
thf(5677,plain,
( ( ! [SX0: $i] :
( ~ ( m1_subset_1 @ SX0 @ ( u1_struct_0 @ sK1_A ) )
| ( ( k7_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK1_A ) @ ( k6_autgroup @ sK1_A @ ( k3_group_1 @ sK1_A @ SX0 ) ) @ ( k6_autgroup @ sK1_A @ SX0 ) )
= ( k6_autgroup @ sK1_A @ ( k2_group_1 @ sK1_A ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[5588]) ).
thf(5678,plain,
! [SV47: $i] :
( ( ! [SY305: $i,SY306: $i,SY307: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV47 )
| ~ ( v3_group_1 @ SV47 ) )
| ~ ( v4_group_1 @ SV47 ) )
| ~ ( l1_group_1 @ SV47 ) )
| ~ ( m1_subset_1 @ SY305 @ ( u1_struct_0 @ SV47 ) ) )
| ~ ( m1_subset_1 @ SY306 @ ( u1_struct_0 @ SV47 ) ) )
| ~ ( m1_subset_1 @ SY307 @ ( u1_struct_0 @ SV47 ) ) )
| ( m1_subset_1 @ ( k3_group_5 @ SV47 @ SY305 @ SY306 @ SY307 ) @ ( u1_struct_0 @ SV47 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5589]) ).
thf(5679,plain,
! [SV48: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV48 )
| ~ ( v3_group_1 @ SV48 ) )
| ~ ( v4_group_1 @ SV48 ) )
| ~ ( l1_group_1 @ SV48 ) )
| ! [SY308: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY308 )
| ~ ( v3_group_1 @ SY308 ) )
| ~ ( v4_group_1 @ SY308 ) )
| ~ ( l1_group_1 @ SY308 ) )
| ! [SY309: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY309 )
| ~ ( v3_group_1 @ SY309 ) )
| ~ ( v4_group_1 @ SY309 ) )
| ~ ( l1_group_1 @ SY309 ) )
| ~ ~ ( ~ ( r1_group_6 @ SV48 @ SY308 )
| ~ ( r1_group_6 @ SY308 @ SY309 ) )
| ( r1_group_6 @ SV48 @ SY309 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5590]) ).
thf(5680,plain,
! [SV49: $i] :
( ( ! [SY310: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV49 )
| ~ ( v3_group_1 @ SV49 ) )
| ~ ( v4_group_1 @ SV49 ) )
| ~ ( l1_group_1 @ SV49 ) )
| ~ ( m1_subset_1 @ SY310 @ ( u1_struct_0 @ SV49 ) ) )
| ( m1_subset_1 @ ( k3_group_1 @ SV49 @ SY310 ) @ ( u1_struct_0 @ SV49 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5591]) ).
thf(5681,plain,
! [SV50: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV50 )
| ~ ( v3_group_1 @ SV50 ) )
| ~ ( v4_group_1 @ SV50 ) )
| ~ ( l1_group_1 @ SV50 ) )
| ( ( k3_group_1 @ SV50 @ ( k2_group_1 @ SV50 ) )
= ( k2_group_1 @ SV50 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5592]) ).
thf(5682,plain,
! [SV51: $i] :
( ( ! [SY311: $i,SY312: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV51 )
| ~ ( v3_group_1 @ SV51 ) )
| ~ ( v4_group_1 @ SV51 ) )
| ~ ( l1_group_1 @ SV51 ) )
| ~ ( m1_subset_1 @ SY311 @ ( u1_struct_0 @ SV51 ) ) )
| ~ ( m1_subset_1 @ SY312 @ ( u1_struct_0 @ SV51 ) ) )
| ~ ( r2_group_3 @ SV51 @ SY311 @ SY312 )
| ( r2_group_3 @ SV51 @ SY312 @ SY311 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5593]) ).
thf(5683,plain,
! [SV52: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV52 )
| ~ ( v1_group_1 @ SV52 ) )
| ~ ( v3_group_1 @ SV52 ) )
| ~ ( v4_group_1 @ SV52 ) )
| ~ ( l1_group_1 @ SV52 ) )
| ! [SY313: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY313 )
| ~ ( v1_group_1 @ SY313 ) )
| ~ ( v3_group_1 @ SY313 ) )
| ~ ( v4_group_1 @ SY313 ) )
| ~ ( l1_group_1 @ SY313 ) )
| ~ ( r1_group_6 @ SV52 @ SY313 )
| ( r1_group_6 @ SY313 @ SV52 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5594]) ).
thf(5684,plain,
! [SV53: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV53 )
| ~ ( v3_group_1 @ SV53 ) )
| ~ ( v4_group_1 @ SV53 ) )
| ~ ( l1_group_1 @ SV53 ) )
| ! [SY314: $i] :
( ~ ( m1_group_2 @ SY314 @ SV53 )
| ( ( k2_group_1 @ SY314 )
= ( k2_group_1 @ SV53 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5595]) ).
thf(5685,plain,
! [SV54: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV54 )
| ~ ( v3_group_1 @ SV54 ) )
| ~ ( v4_group_1 @ SV54 ) )
| ~ ( l1_group_1 @ SV54 ) )
| ! [SY315: $i] :
( ~ ( m1_subset_1 @ SY315 @ ( u1_struct_0 @ SV54 ) )
| ! [SY316: $i] :
( ~ ( m1_subset_1 @ SY316 @ ( u1_struct_0 @ SV54 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV54 @ SY315 @ SY316 )
!= ( k1_group_1 @ SV54 @ SY316 @ SY315 ) )
| ( ( k1_group_1 @ SV54 @ SY315 @ ( k3_group_1 @ SV54 @ SY316 ) )
= ( k1_group_1 @ SV54 @ ( k3_group_1 @ SV54 @ SY316 ) @ SY315 ) ) )
| ~ ( ( ( k1_group_1 @ SV54 @ SY315 @ ( k3_group_1 @ SV54 @ SY316 ) )
!= ( k1_group_1 @ SV54 @ ( k3_group_1 @ SV54 @ SY316 ) @ SY315 ) )
| ( ( k1_group_1 @ SV54 @ SY315 @ SY316 )
= ( k1_group_1 @ SV54 @ SY316 @ SY315 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5596]) ).
thf(5686,plain,
! [SV55: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV55 )
| ~ ( v3_group_1 @ SV55 ) )
| ~ ( v4_group_1 @ SV55 ) )
| ~ ( l1_group_1 @ SV55 ) )
| ! [SY317: $i] :
( ~ ( m1_subset_1 @ SY317 @ ( u1_struct_0 @ SV55 ) )
| ! [SY318: $i] :
( ~ ( m1_group_2 @ SY318 @ SV55 )
| ! [SY319: $i] :
( ~ ( m1_subset_1 @ SY319 @ ( u1_struct_0 @ SY318 ) )
| ( SY319 != SY317 )
| ( ( k3_group_1 @ SY318 @ SY319 )
= ( k3_group_1 @ SV55 @ SY317 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5597]) ).
thf(5687,plain,
! [SV56: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV56 )
| ~ ( v3_group_1 @ SV56 ) )
| ~ ( v4_group_1 @ SV56 ) )
| ~ ( l1_group_1 @ SV56 ) )
| ! [SY320: $i] :
( ~ ( m1_subset_1 @ SY320 @ ( u1_struct_0 @ SV56 ) )
| ! [SY321: $i] :
( ~ ( m1_subset_1 @ SY321 @ ( u1_struct_0 @ SV56 ) )
| ~ ~ ( ( ( k1_group_1 @ SV56 @ SY320 @ SY321 )
!= ( k2_group_1 @ SV56 ) )
| ( ( k1_group_1 @ SV56 @ SY321 @ SY320 )
!= ( k2_group_1 @ SV56 ) ) )
| ( SY321
= ( k3_group_1 @ SV56 @ SY320 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5598]) ).
thf(5688,plain,
! [SV57: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV57 )
| ~ ( v3_group_1 @ SV57 ) )
| ~ ( v4_group_1 @ SV57 ) )
| ~ ( l1_group_1 @ SV57 ) )
| ! [SY322: $i] :
( ~ ( m1_subset_1 @ SY322 @ ( u1_struct_0 @ SV57 ) )
| ( ( k2_group_3 @ SV57 @ SY322 @ SY322 )
= SY322 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5599]) ).
thf(5689,plain,
! [SV58: $i] :
( ( ~ ~ $true
| ! [SY323: $i] :
( ~ ( m1_subset_1 @ SY323 @ SV58 )
| ( SY323
= ( k8_subset_1 @ SV58 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5600]) ).
thf(5690,plain,
! [SV59: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV59 )
| ~ ( v3_group_1 @ SV59 ) )
| ~ ( v4_group_1 @ SV59 ) )
| ~ ( l1_group_1 @ SV59 ) )
| ! [SY324: $i] :
( ~ ( m1_subset_1 @ SY324 @ ( u1_struct_0 @ SV59 ) )
| ! [SY325: $i] :
( ~ ( m1_subset_1 @ SY325 @ ( u1_struct_0 @ SV59 ) )
| ~ ! [SY326: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY326 @ ( u1_struct_0 @ SV59 ) )
| ( ( k1_group_1 @ SV59 @ SY324 @ SY326 )
!= SY325 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5601]) ).
thf(5691,plain,
! [SV60: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV60 )
| ~ ( v3_group_1 @ SV60 ) )
| ~ ( v4_group_1 @ SV60 ) )
| ~ ( l1_group_1 @ SV60 ) )
| ! [SY327: $i] :
( ~ ( m1_subset_1 @ SY327 @ ( u1_struct_0 @ SV60 ) )
| ! [SY328: $i] :
( ~ ( m1_subset_1 @ SY328 @ ( u1_struct_0 @ SV60 ) )
| ~ ( ~ ( ( SY328
!= ( k3_group_1 @ SV60 @ SY327 ) )
| ~ ( ( ( k1_group_1 @ SV60 @ SY327 @ SY328 )
!= ( k2_group_1 @ SV60 ) )
| ( ( k1_group_1 @ SV60 @ SY328 @ SY327 )
!= ( k2_group_1 @ SV60 ) ) ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV60 @ SY327 @ SY328 )
!= ( k2_group_1 @ SV60 ) )
| ( ( k1_group_1 @ SV60 @ SY328 @ SY327 )
!= ( k2_group_1 @ SV60 ) ) )
| ( SY328
= ( k3_group_1 @ SV60 @ SY327 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5602]) ).
thf(5692,plain,
! [SV61: $i] :
( ( ! [SY329: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV61 )
| ~ ( v1_group_1 @ SV61 ) )
| ~ ( v3_group_1 @ SV61 ) )
| ~ ( v4_group_1 @ SV61 ) )
| ~ ( l1_group_1 @ SV61 ) )
| ~ ~ ( v3_struct_0 @ SY329 ) )
| ~ ( v1_group_1 @ SY329 ) )
| ~ ( v3_group_1 @ SY329 ) )
| ~ ( v4_group_1 @ SY329 ) )
| ~ ( l1_group_1 @ SY329 ) )
| ~ ( r2_group_6 @ SV61 @ SY329 )
| ( r2_group_6 @ SY329 @ SV61 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5603]) ).
thf(5693,plain,
! [SV62: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV62 )
| ~ ( v1_group_1 @ SV62 ) )
| ~ ( v3_group_1 @ SV62 ) )
| ~ ( v4_group_1 @ SV62 ) )
| ~ ( l1_group_1 @ SV62 ) )
| ! [SY330: $i] :
( ~ ( m1_subset_1 @ SY330 @ ( u1_struct_0 @ SV62 ) )
| ( ( k8_funct_2 @ ( u1_struct_0 @ SV62 ) @ ( u1_struct_0 @ SV62 ) @ ( k6_autgroup @ SV62 @ ( k2_group_1 @ SV62 ) ) @ SY330 )
= SY330 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5604]) ).
thf(5694,plain,
( ( ! [SX0: $i] :
~ ~ ( ~ ( l1_funcsdom @ SX0 )
| ~ ~ ( v3_struct_0 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[5605]) ).
thf(5695,plain,
( ( ! [SX0: $i] :
~ ~ ( ~ ( l1_group_1 @ SX0 )
| ~ ( v1_group_1 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[5606]) ).
thf(5696,plain,
! [SV63: $i] :
( ( ! [SY331: $i,SY332: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV63 )
| ~ ( l1_group_1 @ SV63 ) )
| ~ ( m1_subset_1 @ SY331 @ ( u1_struct_0 @ SV63 ) ) )
| ~ ( m1_subset_1 @ SY332 @ ( u1_struct_0 @ SV63 ) ) )
| ( m1_subset_1 @ ( k1_group_1 @ SV63 @ SY331 @ SY332 ) @ ( u1_struct_0 @ SV63 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5607]) ).
thf(5697,plain,
! [SV64: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV64 )
| ~ ( v3_group_1 @ SV64 ) )
| ~ ( v4_group_1 @ SV64 ) )
| ~ ( l1_group_1 @ SV64 ) )
| ! [SY333: $i] :
( ~ ( m1_subset_1 @ SY333 @ ( u1_struct_0 @ SV64 ) )
| ( ( k2_group_5 @ SV64 @ SY333 @ SY333 )
= ( k2_group_1 @ SV64 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5608]) ).
thf(5698,plain,
! [SV65: $i] :
( ( ! [SY334: $i] :
( ~ ( r2_hidden @ SV65 @ SY334 )
| ( m1_subset_1 @ SV65 @ SY334 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5609]) ).
thf(5699,plain,
! [SV66: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV66 )
| ~ ( v3_group_1 @ SV66 ) )
| ~ ( v4_group_1 @ SV66 ) )
| ~ ( l1_group_1 @ SV66 ) )
| ! [SY335: $i] :
( ~ ( m1_subset_1 @ SY335 @ ( u1_struct_0 @ SV66 ) )
| ! [SY336: $i] :
( ~ ( m1_subset_1 @ SY336 @ ( u1_struct_0 @ SV66 ) )
| ~ ( r1_group_3 @ SV66 @ SY335 @ SY336 )
| ( r1_group_3 @ SV66 @ SY336 @ SY335 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5610]) ).
thf(5700,plain,
! [SV67: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV67 )
| ~ ( v3_group_1 @ SV67 ) )
| ~ ( v4_group_1 @ SV67 ) )
| ~ ( l1_group_1 @ SV67 ) )
| ! [SY337: $i] :
( ~ ( m1_subset_1 @ SY337 @ ( u1_struct_0 @ SV67 ) )
| ( ( k3_group_1 @ SV67 @ ( k3_group_1 @ SV67 @ SY337 ) )
= SY337 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5611]) ).
thf(5701,plain,
! [SV68: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV68 )
| ~ ( v3_group_1 @ SV68 ) )
| ~ ( v4_group_1 @ SV68 ) )
| ~ ( l1_group_1 @ SV68 ) )
| ! [SY338: $i] :
( ~ ( m1_subset_1 @ SY338 @ ( u1_struct_0 @ SV68 ) )
| ( ( k2_group_3 @ SV68 @ SY338 @ ( k2_group_1 @ SV68 ) )
= SY338 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5612]) ).
thf(5702,plain,
! [SV69: $i] :
( ( ! [SY339: $i] :
( ~ ( m1_subset_1 @ SY339 @ SV69 )
| ! [SY340: $i,SY341: $i] :
( ( ( g2_struct_0 @ SV69 @ SY339 )
!= ( g2_struct_0 @ SY340 @ SY341 ) )
| ~ ( ( SV69 != SY340 )
| ( SY339 != SY341 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5613]) ).
thf(5703,plain,
! [SV70: $i] :
( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( l1_group_1 @ SV70 ) )
| ~ ! [SY342: $i] :
( ~ ( m1_subset_1 @ SY342 @ ( u1_struct_0 @ SV70 ) )
| ! [SY343: $i] :
( ~ ( m1_subset_1 @ SY343 @ ( u1_struct_0 @ SV70 ) )
| ! [SY344: $i] :
( ~ ( m1_subset_1 @ SY344 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ SY342 @ SY343 ) @ SY344 )
= ( k1_group_1 @ SV70 @ SY342 @ ( k1_group_1 @ SV70 @ SY343 @ SY344 ) ) ) ) ) )
| ! [SY345: $i] :
( ~ ( m1_subset_1 @ SY345 @ ( u1_struct_0 @ SV70 ) )
| ~ ! [SY346: $i] :
( ~ ( m1_subset_1 @ SY346 @ ( u1_struct_0 @ SV70 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV70 @ SY346 @ SY345 )
!= SY346 )
| ( ( k1_group_1 @ SV70 @ SY345 @ SY346 )
!= SY346 ) )
| ~ ~ ! [SY347: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY347 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ SY346 @ SY347 )
!= SY345 ) )
| ( ( k1_group_1 @ SV70 @ SY347 @ SY346 )
!= SY345 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5614]) ).
thf(5704,plain,
! [SV71: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV71 )
| ~ ( v3_group_1 @ SV71 ) )
| ~ ( v4_group_1 @ SV71 ) )
| ~ ( l1_group_1 @ SV71 ) )
| ! [SY348: $i] :
( ~ ( m1_subset_1 @ SY348 @ ( u1_struct_0 @ SV71 ) )
| ! [SY349: $i] :
( ~ ( m1_subset_1 @ SY349 @ ( u1_struct_0 @ SV71 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SY348 @ SY349 ) @ ( k3_group_1 @ SV71 @ SY349 ) )
!= SY348 )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SY348 @ ( k3_group_1 @ SV71 @ SY349 ) ) @ SY349 )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY349 ) @ SY349 ) @ SY348 )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SY349 @ ( k3_group_1 @ SV71 @ SY349 ) ) @ SY348 )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ SY348 @ ( k1_group_1 @ SV71 @ SY349 @ ( k3_group_1 @ SV71 @ SY349 ) ) )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ SY348 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY349 ) @ SY349 ) )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY349 ) @ ( k1_group_1 @ SV71 @ SY349 @ SY348 ) )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ SY349 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY349 ) @ SY348 ) )
!= SY348 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5615]) ).
thf(5705,plain,
! [SV72: $i] :
( ( ! [SY350: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV72 )
| ~ ( v1_group_1 @ SV72 ) )
| ~ ( v3_group_1 @ SV72 ) )
| ~ ( v4_group_1 @ SV72 ) )
| ~ ( l1_group_1 @ SV72 ) )
| ~ ~ ( v3_struct_0 @ SY350 ) )
| ~ ( v1_group_1 @ SY350 ) )
| ~ ( v3_group_1 @ SY350 ) )
| ~ ( v4_group_1 @ SY350 ) )
| ~ ( l1_group_1 @ SY350 ) )
| ( r2_group_6 @ SV72 @ SV72 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5616]) ).
thf(5706,plain,
! [SV73: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV73 )
| ~ ( v3_group_1 @ SV73 ) )
| ~ ( v4_group_1 @ SV73 ) )
| ~ ( l1_group_1 @ SV73 ) )
| ! [SY351: $i] :
( ~ ( m1_subset_1 @ SY351 @ ( u1_struct_0 @ SV73 ) )
| ~ ( ( ( k2_group_3 @ SV73 @ SY351 @ ( k3_group_1 @ SV73 @ SY351 ) )
!= SY351 )
| ( ( k2_group_3 @ SV73 @ ( k3_group_1 @ SV73 @ SY351 ) @ SY351 )
!= ( k3_group_1 @ SV73 @ SY351 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5617]) ).
thf(5707,plain,
! [SV74: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV74 )
| ~ ( v3_group_1 @ SV74 ) )
| ~ ( v4_group_1 @ SV74 ) )
| ~ ( l1_group_1 @ SV74 ) )
| ! [SY352: $i] :
( ~ ( m1_subset_1 @ SY352 @ ( u1_struct_0 @ SV74 ) )
| ! [SY353: $i] :
( ~ ( m1_subset_1 @ SY353 @ ( u1_struct_0 @ SV74 ) )
| ! [SY354: $i] :
( ~ ( m1_subset_1 @ SY354 @ ( u1_struct_0 @ SV74 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV74 @ SY352 @ SY353 )
!= SY354 )
| ( SY353
= ( k1_group_1 @ SV74 @ ( k3_group_1 @ SV74 @ SY352 ) @ SY354 ) ) )
| ~ ( ( SY353
!= ( k1_group_1 @ SV74 @ ( k3_group_1 @ SV74 @ SY352 ) @ SY354 ) )
| ( ( k1_group_1 @ SV74 @ SY352 @ SY353 )
= SY354 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5618]) ).
thf(5708,plain,
! [SV75: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV75 )
| ~ ( v3_group_1 @ SV75 ) )
| ~ ( v4_group_1 @ SV75 ) )
| ~ ( l1_group_1 @ SV75 ) )
| ! [SY355: $i] :
( ~ ( m1_subset_1 @ SY355 @ ( u1_struct_0 @ SV75 ) )
| ( ( k3_group_1 @ SV75 @ SY355 )
!= ( k2_group_1 @ SV75 ) )
| ( SY355
= ( k2_group_1 @ SV75 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5619]) ).
thf(5709,plain,
( ( ! [SX0: $i] :
~ ~ ( ~ ~ ( ~ ( l1_group_1 @ SX0 )
| ~ ~ ( v3_struct_0 @ SX0 ) )
| ~ ( v1_group_1 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[5620]) ).
thf(5710,plain,
! [SV76: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV76 )
| ~ ( v3_group_1 @ SV76 ) )
| ~ ( v4_group_1 @ SV76 ) )
| ~ ( l1_group_1 @ SV76 ) )
| ~ ( v5_group_1 @ ( k2_group_1 @ SV76 ) @ SV76 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5621]) ).
thf(5711,plain,
! [SV77: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV77 )
| ~ ( v3_group_1 @ SV77 ) )
| ~ ( v4_group_1 @ SV77 ) )
| ~ ( l1_group_1 @ SV77 ) )
| ! [SY356: $i] :
( ~ ( m1_subset_1 @ SY356 @ ( u1_struct_0 @ SV77 ) )
| ! [SY357: $i] :
( ~ ( m1_subset_1 @ SY357 @ ( u1_struct_0 @ SV77 ) )
| ~ ! [SY358: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY358 @ ( u1_struct_0 @ SV77 ) )
| ( ( k1_group_1 @ SV77 @ SY358 @ SY356 )
!= SY357 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5622]) ).
thf(5712,plain,
! [SV78: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV78 )
| ~ ( v3_group_1 @ SV78 ) )
| ~ ( l1_group_1 @ SV78 ) )
| ~ ! [SY359: $i] :
~ ( m1_group_2 @ SY359 @ SV78 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5623]) ).
thf(5713,plain,
( ( ! [SX0: $i] :
~ ~ ( ~ ( l2_rlvect_1 @ SX0 )
| ~ ~ ( v3_struct_0 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[5624]) ).
thf(5714,plain,
( ( ~ ~ ( ~ ( l1_struct_0 @ sK2_SX0 )
| ~ ~ ( v3_struct_0 @ sK2_SX0 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[5627]) ).
thf(5715,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV2 )
| ~ ( v1_group_1 @ SV2 ) )
| ~ ( v3_group_1 @ SV2 ) )
| ~ ( v4_group_1 @ SV2 ) )
| ~ ( l1_group_1 @ SV2 ) ) )
= $true )
| ( ( ! [SY222: $i] :
( ~ ( m1_subset_1 @ SY222 @ ( u1_struct_0 @ SV2 ) )
| ! [SY223: $i] :
( ~ ( m1_subset_1 @ SY223 @ ( u1_struct_0 @ SV2 ) )
| ( ( k6_autgroup @ SV2 @ ( k1_group_1 @ SV2 @ SY222 @ SY223 ) )
= ( k7_funct_2 @ ( u1_struct_0 @ SV2 ) @ ( u1_struct_0 @ SV2 ) @ ( u1_struct_0 @ SV2 ) @ ( k6_autgroup @ SV2 @ SY222 ) @ ( k6_autgroup @ SV2 @ SY223 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5628]) ).
thf(5716,plain,
! [SV3: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV3 )
| ~ ( v3_group_1 @ SV3 ) )
| ~ ( v4_group_1 @ SV3 ) )
| ~ ( l1_group_1 @ SV3 ) ) )
= $true )
| ( ( ! [SY224: $i] :
( ~ ( m1_subset_1 @ SY224 @ ( u1_struct_0 @ SV3 ) )
| ! [SY225: $i] :
( ~ ( m1_subset_1 @ SY225 @ ( u1_struct_0 @ SV3 ) )
| ~ ( ( ( k1_group_1 @ SV3 @ SY224 @ SY225 )
= SY224 )
| ( ( k1_group_1 @ SV3 @ SY225 @ SY224 )
= SY224 ) )
| ( SY225
= ( k2_group_1 @ SV3 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5629]) ).
thf(5717,plain,
! [SV4: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV4 )
| ~ ( v3_group_1 @ SV4 ) )
| ~ ( v4_group_1 @ SV4 ) )
| ~ ( l1_group_1 @ SV4 ) ) )
= $true )
| ( ( ! [SY226: $i] :
( ~ ( m1_group_2 @ SY226 @ SV4 )
| ! [SY227: $i] :
( ~ ( m1_group_2 @ SY227 @ SV4 )
| ( ( k2_group_1 @ SY226 )
= ( k2_group_1 @ SY227 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5630]) ).
thf(5718,plain,
! [SV5: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV5 )
| ~ ( v3_group_1 @ SV5 ) )
| ~ ( v4_group_1 @ SV5 ) )
| ~ ( l1_group_1 @ SV5 ) ) )
= $true )
| ( ( ! [SY228: $i] :
( ~ ( m1_subset_1 @ SY228 @ ( u1_struct_0 @ SV5 ) )
| ! [SY229: $i] :
( ~ ( m1_subset_1 @ SY229 @ ( u1_struct_0 @ SV5 ) )
| ~ ( ( ( k2_group_3 @ SV5 @ ( k2_group_3 @ SV5 @ SY228 @ SY229 ) @ ( k3_group_1 @ SV5 @ SY229 ) )
!= SY228 )
| ( ( k2_group_3 @ SV5 @ ( k2_group_3 @ SV5 @ SY228 @ ( k3_group_1 @ SV5 @ SY229 ) ) @ SY229 )
!= SY228 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5631]) ).
thf(5719,plain,
! [SV6: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV6 )
| ~ ( v3_group_1 @ SV6 ) )
| ~ ( v4_group_1 @ SV6 ) )
| ~ ( l1_group_1 @ SV6 ) ) )
= $true )
| ( ( ! [SY230: $i] :
( ~ ( m1_subset_1 @ SY230 @ ( u1_struct_0 @ SV6 ) )
| ( ( k2_group_3 @ SV6 @ ( k2_group_1 @ SV6 ) @ SY230 )
= ( k2_group_1 @ SV6 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5632]) ).
thf(5720,plain,
! [SV7: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV7 )
| ~ ( v3_group_1 @ SV7 ) )
| ~ ( v4_group_1 @ SV7 ) )
| ~ ( l1_group_1 @ SV7 ) ) )
= $true )
| ( ( ! [SY231: $i] :
( ~ ( m1_subset_1 @ SY231 @ ( u1_struct_0 @ SV7 ) )
| ~ ( ( r2_group_3 @ SV7 @ SY231 @ ( k2_group_1 @ SV7 ) )
| ( r2_group_3 @ SV7 @ ( k2_group_1 @ SV7 ) @ SY231 ) )
| ( SY231
= ( k2_group_1 @ SV7 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5633]) ).
thf(5721,plain,
! [SV8: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV8 )
| ~ ( v3_group_1 @ SV8 ) )
| ~ ( v4_group_1 @ SV8 ) )
| ~ ( l1_group_1 @ SV8 ) ) )
= $true )
| ( ( ! [SY232: $i] :
( ~ ( m1_subset_1 @ SY232 @ ( u1_struct_0 @ SV8 ) )
| ! [SY233: $i] :
( ~ ( m1_subset_1 @ SY233 @ ( u1_struct_0 @ SV8 ) )
| ! [SY234: $i] :
( ~ ( m1_subset_1 @ SY234 @ ( u1_struct_0 @ SV8 ) )
| ~ ( ( ( k1_group_1 @ SV8 @ SY232 @ SY233 )
= ( k1_group_1 @ SV8 @ SY232 @ SY234 ) )
| ( ( k1_group_1 @ SV8 @ SY233 @ SY232 )
= ( k1_group_1 @ SV8 @ SY234 @ SY232 ) ) )
| ( SY233 = SY234 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5634]) ).
thf(5722,plain,
! [SV9: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV9 )
| ~ ( l1_group_1 @ SV9 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k2_group_1 @ SV9 ) @ ( u1_struct_0 @ SV9 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5635]) ).
thf(5723,plain,
! [SV10: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV10 )
| ~ ( v3_group_1 @ SV10 ) )
| ~ ( v4_group_1 @ SV10 ) )
| ~ ( l1_group_1 @ SV10 ) ) )
= $true )
| ( ( ! [SY235: $i] :
( ~ ( m1_subset_1 @ SY235 @ ( u1_struct_0 @ SV10 ) )
| ! [SY236: $i] :
( ~ ( m1_subset_1 @ SY236 @ ( u1_struct_0 @ SV10 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV10 @ SY235 @ SY236 )
!= ( k1_group_1 @ SV10 @ SY236 @ SY235 ) )
| ( ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY235 ) @ ( k3_group_1 @ SV10 @ SY236 ) )
= ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY236 ) @ ( k3_group_1 @ SV10 @ SY235 ) ) ) )
| ~ ( ( ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY235 ) @ ( k3_group_1 @ SV10 @ SY236 ) )
!= ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY236 ) @ ( k3_group_1 @ SV10 @ SY235 ) ) )
| ( ( k1_group_1 @ SV10 @ SY235 @ SY236 )
= ( k1_group_1 @ SV10 @ SY236 @ SY235 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5636]) ).
thf(5724,plain,
! [SV11: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV11 )
| ~ ( v1_group_1 @ SV11 ) )
| ~ ( v3_group_1 @ SV11 ) )
| ~ ( v4_group_1 @ SV11 ) )
| ~ ( l1_group_1 @ SV11 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k3_autgroup @ SV11 ) )
| ~ ( v1_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( v3_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( v4_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( l1_group_1 @ ( k3_autgroup @ SV11 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5637]) ).
thf(5725,plain,
! [SV12: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV12 )
| ~ ( v3_group_1 @ SV12 ) )
| ~ ( l1_group_1 @ SV12 ) ) )
= $true )
| ( ( ! [SY237: $i] :
( ~ ( m1_group_2 @ SY237 @ SV12 )
| ! [SY238: $i] :
( ~ ( m1_subset_1 @ SY238 @ ( u1_struct_0 @ SY237 ) )
| ( m1_subset_1 @ SY238 @ ( u1_struct_0 @ SV12 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5638]) ).
thf(5726,plain,
! [SV13: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV13 )
| ~ ( v3_group_1 @ SV13 ) )
| ~ ( v4_group_1 @ SV13 ) )
| ~ ( l1_group_1 @ SV13 ) ) )
= $true )
| ( ( ! [SY239: $i] :
( ~ ( m1_subset_1 @ SY239 @ ( u1_struct_0 @ SV13 ) )
| ! [SY240: $i] :
( ~ ( m1_subset_1 @ SY240 @ ( u1_struct_0 @ SV13 ) )
| ~ ( ~ ~ ( ( ( k3_group_5 @ SV13 @ SY239 @ SY240 @ ( k2_group_1 @ SV13 ) )
!= ( k2_group_1 @ SV13 ) )
| ( ( k3_group_5 @ SV13 @ SY239 @ ( k2_group_1 @ SV13 ) @ SY240 )
!= ( k2_group_1 @ SV13 ) ) )
| ( ( k3_group_5 @ SV13 @ ( k2_group_1 @ SV13 ) @ SY239 @ SY240 )
!= ( k2_group_1 @ SV13 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5639]) ).
thf(5727,plain,
! [SV14: $i] :
( ( ( ~ ( l1_group_1 @ SV14 ) )
= $true )
| ( ( l1_struct_0 @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5640]) ).
thf(5728,plain,
! [SV15: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV15 )
| ~ ( v3_group_1 @ SV15 ) )
| ~ ( v4_group_1 @ SV15 ) )
| ~ ( l1_group_1 @ SV15 ) ) )
= $true )
| ( ( ! [SY241: $i] :
( ~ ( m1_subset_1 @ SY241 @ ( u1_struct_0 @ SV15 ) )
| ! [SY242: $i] :
( ~ ( m1_subset_1 @ SY242 @ ( u1_struct_0 @ SV15 ) )
| ( ( k2_group_3 @ SV15 @ ( k3_group_1 @ SV15 @ SY241 ) @ SY242 )
= ( k3_group_1 @ SV15 @ ( k2_group_3 @ SV15 @ SY241 @ SY242 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5641]) ).
thf(5729,plain,
! [SV16: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV16 )
| ~ ( l1_group_1 @ SV16 ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( v3_group_1 @ SV16 )
| ~ ! [SY243: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY243 @ ( u1_struct_0 @ SV16 ) )
| ~ ! [SY244: $i] :
( ~ ( m1_subset_1 @ SY244 @ ( u1_struct_0 @ SV16 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV16 @ SY244 @ SY243 )
!= SY244 )
| ( ( k1_group_1 @ SV16 @ SY243 @ SY244 )
!= SY244 ) )
| ~ ~ ! [SY245: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY245 @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ SY244 @ SY245 )
!= SY243 ) )
| ( ( k1_group_1 @ SV16 @ SY245 @ SY244 )
!= SY243 ) ) ) ) ) )
| ~ ( ~ ~ ! [SY246: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY246 @ ( u1_struct_0 @ SV16 ) )
| ~ ! [SY247: $i] :
( ~ ( m1_subset_1 @ SY247 @ ( u1_struct_0 @ SV16 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV16 @ SY247 @ SY246 )
!= SY247 )
| ( ( k1_group_1 @ SV16 @ SY246 @ SY247 )
!= SY247 ) )
| ~ ~ ! [SY248: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY248 @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ SY247 @ SY248 )
!= SY246 ) )
| ( ( k1_group_1 @ SV16 @ SY248 @ SY247 )
!= SY246 ) ) ) ) )
| ( v3_group_1 @ SV16 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5642]) ).
thf(5730,plain,
! [SV17: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV17 )
| ~ ( v3_group_1 @ SV17 ) )
| ~ ( v4_group_1 @ SV17 ) )
| ~ ( l1_group_1 @ SV17 ) ) )
= $true )
| ( ( ! [SY249: $i] :
( ~ ( m1_subset_1 @ SY249 @ ( u1_struct_0 @ SV17 ) )
| ! [SY250: $i] :
( ~ ( m1_subset_1 @ SY250 @ ( u1_struct_0 @ SV17 ) )
| ( ( k2_group_3 @ SV17 @ SY249 @ SY250 )
!= ( k2_group_1 @ SV17 ) )
| ( SY249
= ( k2_group_1 @ SV17 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5643]) ).
thf(5731,plain,
! [SV18: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV18 )
| ~ ( v3_group_1 @ SV18 ) )
| ~ ( v4_group_1 @ SV18 ) )
| ~ ( l1_group_1 @ SV18 ) ) )
= $true )
| ( ( ! [SY251: $i] :
( ~ ( m1_subset_1 @ SY251 @ ( u1_struct_0 @ SV18 ) )
| ( r1_group_3 @ SV18 @ SY251 @ SY251 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5644]) ).
thf(5732,plain,
! [SV79: $i,SV19: $i] :
( ( ! [SY360: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV19 )
| ~ ( v3_group_1 @ SV19 ) )
| ~ ( v4_group_1 @ SV19 ) )
| ~ ( l1_group_1 @ SV19 ) )
| ~ ( m1_subset_1 @ SV79 @ ( u1_struct_0 @ SV19 ) ) )
| ~ ( m1_subset_1 @ SY360 @ ( u1_struct_0 @ SV19 ) ) )
| ( m1_subset_1 @ ( k2_group_3 @ SV19 @ SV79 @ SY360 ) @ ( u1_struct_0 @ SV19 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5645]) ).
thf(5733,plain,
! [SV20: $i] :
( ( ( ~ ( l1_vectsp_1 @ SV20 ) )
= $true )
| ( ( l1_group_1 @ SV20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5646]) ).
thf(5734,plain,
! [SV21: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV21 )
| ~ ( v3_group_1 @ SV21 ) )
| ~ ( v4_group_1 @ SV21 ) )
| ~ ( l1_group_1 @ SV21 ) ) )
= $true )
| ( ( ! [SY254: $i] :
( ~ ( m1_subset_1 @ SY254 @ ( u1_struct_0 @ SV21 ) )
| ! [SY255: $i] :
( ~ ( m1_subset_1 @ SY255 @ ( u1_struct_0 @ SV21 ) )
| ! [SY256: $i] :
( ~ ( m1_subset_1 @ SY256 @ ( u1_struct_0 @ SV21 ) )
| ~ ~ ( ~ ( r2_group_3 @ SV21 @ SY254 @ SY255 )
| ~ ( r2_group_3 @ SV21 @ SY255 @ SY256 ) )
| ( r2_group_3 @ SV21 @ SY254 @ SY256 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5647]) ).
thf(5735,plain,
! [SV22: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV22 )
| ~ ( v1_group_1 @ SV22 ) )
| ~ ( v3_group_1 @ SV22 ) )
| ~ ( v4_group_1 @ SV22 ) )
| ~ ( l1_group_1 @ SV22 ) ) )
= $true )
| ( ( ! [SY257: $i] :
( ~ ~ ( ~ ( v1_group_1 @ SY257 )
| ~ ( m1_group_2 @ SY257 @ SV22 ) )
| ( ( u1_struct_0 @ SY257 )
!= ( u1_struct_0 @ SV22 ) )
| ( SY257 = SV22 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5648]) ).
thf(5736,plain,
! [SV23: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV23 )
| ~ ( v3_group_1 @ SV23 ) )
| ~ ( v4_group_1 @ SV23 ) )
| ~ ( l1_group_1 @ SV23 ) ) )
= $true )
| ( ( ! [SY258: $i] :
( ~ ( m1_subset_1 @ SY258 @ ( u1_struct_0 @ SV23 ) )
| ! [SY259: $i] :
( ~ ( m1_subset_1 @ SY259 @ ( u1_struct_0 @ SV23 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV23 @ SY258 @ SY259 )
!= ( k1_group_1 @ SV23 @ SY259 @ SY258 ) )
| ( ( k3_group_1 @ SV23 @ ( k1_group_1 @ SV23 @ SY258 @ SY259 ) )
= ( k1_group_1 @ SV23 @ ( k3_group_1 @ SV23 @ SY258 ) @ ( k3_group_1 @ SV23 @ SY259 ) ) ) )
| ~ ( ( ( k3_group_1 @ SV23 @ ( k1_group_1 @ SV23 @ SY258 @ SY259 ) )
!= ( k1_group_1 @ SV23 @ ( k3_group_1 @ SV23 @ SY258 ) @ ( k3_group_1 @ SV23 @ SY259 ) ) )
| ( ( k1_group_1 @ SV23 @ SY258 @ SY259 )
= ( k1_group_1 @ SV23 @ SY259 @ SY258 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5649]) ).
thf(5737,plain,
! [SV24: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV24 )
| ~ ( v3_group_1 @ SV24 ) )
| ~ ( v4_group_1 @ SV24 ) )
| ~ ( l1_group_1 @ SV24 ) ) )
= $true )
| ( ( ! [SY260: $i] :
( ~ ( m1_subset_1 @ SY260 @ ( u1_struct_0 @ SV24 ) )
| ~ ( ( ( k2_group_5 @ SV24 @ ( k2_group_1 @ SV24 ) @ SY260 )
!= ( k2_group_1 @ SV24 ) )
| ( ( k2_group_5 @ SV24 @ SY260 @ ( k2_group_1 @ SV24 ) )
!= ( k2_group_1 @ SV24 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5650]) ).
thf(5738,plain,
! [SV25: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV25 )
| ~ ( v3_group_1 @ SV25 ) )
| ~ ( v4_group_1 @ SV25 ) )
| ~ ( l1_group_1 @ SV25 ) ) )
= $true )
| ( ( m1_group_2 @ SV25 @ SV25 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5651]) ).
thf(5739,plain,
! [SV26: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV26 )
| ~ ( v3_group_1 @ SV26 ) )
| ~ ( v4_group_1 @ SV26 ) )
| ~ ( l1_group_1 @ SV26 ) ) )
= $true )
| ( ( ! [SY261: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY261 )
| ~ ( v3_group_1 @ SY261 ) )
| ~ ( v4_group_1 @ SY261 ) )
| ~ ( l1_group_1 @ SY261 ) )
| ! [SY262: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY262 )
| ~ ( v3_group_1 @ SY262 ) )
| ~ ( v4_group_1 @ SY262 ) )
| ~ ( l1_group_1 @ SY262 ) )
| ~ ~ ( ~ ( m1_group_2 @ SV26 @ SY261 )
| ~ ( m1_group_2 @ SY261 @ SY262 ) )
| ( m1_group_2 @ SV26 @ SY262 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5652]) ).
thf(5740,plain,
! [SV27: $i,SV80: $i] :
( ( ~ ( m1_subset_1 @ SV80 @ SV27 )
| ~ ! [SY361: $i] :
~ ( m3_realset1 @ SY361 @ SV27 @ SV80 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5653]) ).
thf(5741,plain,
! [SV28: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV28 )
| ~ ( l1_group_1 @ SV28 ) ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY265: $i] :
( ~ ( m1_subset_1 @ SY265 @ ( u1_struct_0 @ SV28 ) )
| ! [SY266: $i] :
( ~ ( m1_subset_1 @ SY266 @ ( u1_struct_0 @ SV28 ) )
| ! [SY267: $i] :
( ~ ( m1_subset_1 @ SY267 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ ( k1_group_1 @ SV28 @ SY265 @ SY266 ) @ SY267 )
= ( k1_group_1 @ SV28 @ SY265 @ ( k1_group_1 @ SV28 @ SY266 @ SY267 ) ) ) ) ) )
| ~ ! [SY268: $i] :
( ~ ( m1_subset_1 @ SY268 @ ( u1_struct_0 @ SV28 ) )
| ! [SY269: $i] :
( ~ ( m1_subset_1 @ SY269 @ ( u1_struct_0 @ SV28 ) )
| ~ ( ~ ~ ! [SY270: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY270 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY268 @ SY270 )
!= SY269 ) )
| ~ ~ ! [SY271: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY271 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY271 @ SY268 )
!= SY269 ) ) ) ) ) )
| ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5654]) ).
thf(5742,plain,
( ( ~ ( l1_group_1 @ sK3_SX0 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[5655]) ).
thf(5743,plain,
! [SV81: $i,SV29: $i] :
( ( ! [SY362: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV29 )
| ~ ( v3_group_1 @ SV29 ) )
| ~ ( v4_group_1 @ SV29 ) )
| ~ ( l1_group_1 @ SV29 ) )
| ~ ( m1_subset_1 @ SV81 @ ( u1_struct_0 @ SV29 ) ) )
| ~ ( m1_subset_1 @ SY362 @ ( u1_struct_0 @ SV29 ) ) )
| ( m1_subset_1 @ ( k2_group_5 @ SV29 @ SV81 @ SY362 ) @ ( u1_struct_0 @ SV29 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5656]) ).
thf(5744,plain,
! [SV82: $i,SV30: $i] :
( ( ! [SY363: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV30 )
| ~ ( v3_group_1 @ SV30 ) )
| ~ ( v4_group_1 @ SV30 ) )
| ~ ( l1_group_1 @ SV30 ) )
| ~ ( m1_subset_1 @ SV82 @ ( u1_struct_0 @ SV30 ) ) )
| ~ ( m1_subset_1 @ SY363 @ ( u1_struct_0 @ SV30 ) ) )
| ( r2_group_3 @ SV30 @ SV82 @ SV82 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5657]) ).
thf(5745,plain,
( ( ~ ~ ( ~ ( l2_struct_0 @ sK4_SX0 )
| ~ ~ ( v3_struct_0 @ sK4_SX0 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[5658]) ).
thf(5746,plain,
! [SV31: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV31 )
| ~ ( v3_group_1 @ SV31 ) )
| ~ ( v4_group_1 @ SV31 ) )
| ~ ( l1_group_1 @ SV31 ) ) )
= $true )
| ( ( ! [SY276: $i] :
( ~ ( m1_subset_1 @ SY276 @ ( u1_struct_0 @ SV31 ) )
| ! [SY277: $i] :
( ~ ( m1_subset_1 @ SY277 @ ( u1_struct_0 @ SV31 ) )
| ( ( k3_group_1 @ SV31 @ SY276 )
!= ( k3_group_1 @ SV31 @ SY277 ) )
| ( SY276 = SY277 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5659]) ).
thf(5747,plain,
! [SV32: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV32 )
| ~ ( v3_group_1 @ SV32 ) )
| ~ ( v4_group_1 @ SV32 ) )
| ~ ( l1_group_1 @ SV32 ) ) )
= $true )
| ( ( ! [SY278: $i] :
( ~ ( m1_subset_1 @ SY278 @ ( u1_struct_0 @ SV32 ) )
| ~ ( ( ( k2_group_5 @ SV32 @ SY278 @ ( k3_group_1 @ SV32 @ SY278 ) )
!= ( k2_group_1 @ SV32 ) )
| ( ( k2_group_5 @ SV32 @ ( k3_group_1 @ SV32 @ SY278 ) @ SY278 )
!= ( k2_group_1 @ SV32 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5660]) ).
thf(5748,plain,
! [SV33: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV33 )
| ~ ( v3_group_1 @ SV33 ) )
| ~ ( v4_group_1 @ SV33 ) )
| ~ ( l1_group_1 @ SV33 ) ) )
= $true )
| ( ( ! [SY279: $i] :
( ~ ( m1_subset_1 @ SY279 @ ( u1_struct_0 @ SV33 ) )
| ! [SY280: $i] :
( ~ ( m1_subset_1 @ SY280 @ ( u1_struct_0 @ SV33 ) )
| ! [SY281: $i] :
( ~ ( m1_subset_1 @ SY281 @ ( u1_struct_0 @ SV33 ) )
| ( ( k2_group_3 @ SV33 @ SY279 @ SY280 )
!= ( k2_group_3 @ SV33 @ SY281 @ SY280 ) )
| ( SY279 = SY281 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5661]) ).
thf(5749,plain,
! [SV34: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV34 )
| ~ ( v3_group_1 @ SV34 ) )
| ~ ( v4_group_1 @ SV34 ) )
| ~ ( l1_group_1 @ SV34 ) ) )
= $true )
| ( ( ! [SY282: $i] :
( ~ ( m1_subset_1 @ SY282 @ ( u1_struct_0 @ SV34 ) )
| ! [SY283: $i] :
( ~ ( m1_subset_1 @ SY283 @ ( u1_struct_0 @ SV34 ) )
| ~ ( ( ( k1_group_1 @ SV34 @ SY282 @ SY283 )
= ( k2_group_1 @ SV34 ) )
| ( ( k1_group_1 @ SV34 @ SY283 @ SY282 )
= ( k2_group_1 @ SV34 ) ) )
| ~ ( ( SY282
!= ( k3_group_1 @ SV34 @ SY283 ) )
| ( SY283
!= ( k3_group_1 @ SV34 @ SY282 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5662]) ).
thf(5750,plain,
! [SV83: $i,SV35: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV35 )
| ~ ( v3_group_1 @ SV35 ) )
| ~ ( v4_group_1 @ SV35 ) )
| ~ ( l1_group_1 @ SV35 ) )
| ~ ~ ( v3_struct_0 @ SV83 ) )
| ~ ( v3_group_1 @ SV83 ) )
| ~ ( v4_group_1 @ SV83 ) )
| ~ ( l1_group_1 @ SV83 ) )
| ( r1_group_6 @ SV35 @ SV35 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5663]) ).
thf(5751,plain,
! [SV36: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV36 )
| ~ ( v3_group_1 @ SV36 ) )
| ~ ( v4_group_1 @ SV36 ) )
| ~ ( l1_group_1 @ SV36 ) ) )
= $true )
| ( ( ! [SY285: $i] :
( ~ ( m1_subset_1 @ SY285 @ ( u1_struct_0 @ SV36 ) )
| ! [SY286: $i] :
( ~ ( m1_subset_1 @ SY286 @ ( u1_struct_0 @ SV36 ) )
| ! [SY287: $i] :
( ~ ( m1_subset_1 @ SY287 @ ( u1_struct_0 @ SV36 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV36 @ SY285 @ SY286 )
!= SY287 )
| ( SY285
= ( k1_group_1 @ SV36 @ SY287 @ ( k3_group_1 @ SV36 @ SY286 ) ) ) )
| ~ ( ( SY285
!= ( k1_group_1 @ SV36 @ SY287 @ ( k3_group_1 @ SV36 @ SY286 ) ) )
| ( ( k1_group_1 @ SV36 @ SY285 @ SY286 )
= SY287 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5664]) ).
thf(5752,plain,
! [SV37: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV37 )
| ~ ( v3_group_1 @ SV37 ) )
| ~ ( v4_group_1 @ SV37 ) )
| ~ ( l1_group_1 @ SV37 ) ) )
= $true )
| ( ( ! [SY288: $i] :
( ~ ( m1_group_2 @ SY288 @ SV37 )
| ( v4_group_1 @ SY288 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5665]) ).
thf(5753,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( l1_group_1 @ sK5_SX0 )
| ~ ~ ( v3_struct_0 @ sK5_SX0 ) )
| ~ ( v4_group_1 @ sK5_SX0 ) )
| ~ ( v7_group_1 @ sK5_SX0 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[5666]) ).
thf(5754,plain,
! [SV38: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV38 )
| ~ ( v3_group_1 @ SV38 ) )
| ~ ( l1_group_1 @ SV38 ) ) )
= $true )
| ( ( ! [SY289: $i] :
( ~ ( m1_group_2 @ SY289 @ SV38 )
| ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY289 )
| ~ ( v3_group_1 @ SY289 ) )
| ~ ( l1_group_1 @ SY289 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5667]) ).
thf(5755,plain,
! [SV39: $i] :
( ( ! [SY290: $i] :
~ ( m1_subset_1 @ SY290 @ SV39 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[5668]) ).
thf(5756,plain,
! [SV40: $i] :
( ( ( ~ ( l1_group_1 @ SV40 ) )
= $true )
| ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV40 )
| ~ ( v3_group_1 @ SV40 ) )
| ~ ( ~ ~ ( v3_struct_0 @ SV40 )
| ~ ( v2_group_1 @ SV40 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5669]) ).
thf(5757,plain,
! [SV41: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV41 )
| ~ ( v3_group_1 @ SV41 ) )
| ~ ( v4_group_1 @ SV41 ) )
| ~ ( l1_group_1 @ SV41 ) ) )
= $true )
| ( ( ! [SY291: $i] :
( ~ ( m1_subset_1 @ SY291 @ ( u1_struct_0 @ SV41 ) )
| ! [SY292: $i] :
( ~ ( m1_subset_1 @ SY292 @ ( u1_struct_0 @ SV41 ) )
| ( ( k3_group_1 @ SV41 @ ( k2_group_5 @ SV41 @ SY291 @ SY292 ) )
= ( k2_group_5 @ SV41 @ SY292 @ SY291 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5670]) ).
thf(5758,plain,
! [SV42: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV42 )
| ~ ( v3_group_1 @ SV42 ) )
| ~ ( v4_group_1 @ SV42 ) )
| ~ ( l1_group_1 @ SV42 ) ) )
= $true )
| ( ( ! [SY293: $i] :
( ~ ( m1_subset_1 @ SY293 @ ( u1_struct_0 @ SV42 ) )
| ! [SY294: $i] :
( ~ ( m1_subset_1 @ SY294 @ ( u1_struct_0 @ SV42 ) )
| ( ( k3_group_5 @ SV42 @ SY293 @ SY293 @ SY294 )
= ( k2_group_1 @ SV42 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5671]) ).
thf(5759,plain,
! [SV43: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV43 )
| ~ ( v3_group_1 @ SV43 ) )
| ~ ( l1_group_1 @ SV43 ) ) )
= $true )
| ( ( ! [SY295: $i] :
( ~ ( m1_subset_1 @ SY295 @ ( u1_struct_0 @ SV43 ) )
| ~ ! [SY296: $i] :
( ~ ( m1_subset_1 @ SY296 @ ( u1_struct_0 @ SV43 ) )
| ~ ( ( ( k1_group_1 @ SV43 @ SY296 @ SY295 )
!= SY296 )
| ( ( k1_group_1 @ SV43 @ SY295 @ SY296 )
!= SY296 ) ) )
| ( SY295
= ( k2_group_1 @ SV43 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5672]) ).
thf(5760,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( l1_group_1 @ sK6_SX0 )
| ~ ~ ( v3_struct_0 @ sK6_SX0 ) )
| ~ ( v1_group_1 @ sK6_SX0 ) )
| ~ ( v2_group_1 @ sK6_SX0 ) )
| ~ ( v3_group_1 @ sK6_SX0 ) )
| ~ ( v4_group_1 @ sK6_SX0 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[5673]) ).
thf(5761,plain,
! [SV44: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV44 )
| ~ ( l1_group_1 @ SV44 ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( v4_group_1 @ SV44 )
| ! [SY297: $i] :
( ~ ( m1_subset_1 @ SY297 @ ( u1_struct_0 @ SV44 ) )
| ! [SY298: $i] :
( ~ ( m1_subset_1 @ SY298 @ ( u1_struct_0 @ SV44 ) )
| ! [SY299: $i] :
( ~ ( m1_subset_1 @ SY299 @ ( u1_struct_0 @ SV44 ) )
| ( ( k1_group_1 @ SV44 @ ( k1_group_1 @ SV44 @ SY297 @ SY298 ) @ SY299 )
= ( k1_group_1 @ SV44 @ SY297 @ ( k1_group_1 @ SV44 @ SY298 @ SY299 ) ) ) ) ) ) )
| ~ ( ~ ! [SY300: $i] :
( ~ ( m1_subset_1 @ SY300 @ ( u1_struct_0 @ SV44 ) )
| ! [SY301: $i] :
( ~ ( m1_subset_1 @ SY301 @ ( u1_struct_0 @ SV44 ) )
| ! [SY302: $i] :
( ~ ( m1_subset_1 @ SY302 @ ( u1_struct_0 @ SV44 ) )
| ( ( k1_group_1 @ SV44 @ ( k1_group_1 @ SV44 @ SY300 @ SY301 ) @ SY302 )
= ( k1_group_1 @ SV44 @ SY300 @ ( k1_group_1 @ SV44 @ SY301 @ SY302 ) ) ) ) ) )
| ( v4_group_1 @ SV44 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5674]) ).
thf(5762,plain,
! [SV45: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV45 )
| ~ ( v3_group_1 @ SV45 ) )
| ~ ( v4_group_1 @ SV45 ) )
| ~ ( l1_group_1 @ SV45 ) ) )
= $true )
| ( ( ! [SY303: $i] :
( ~ ( m1_subset_1 @ SY303 @ ( u1_struct_0 @ SV45 ) )
| ! [SY304: $i] :
( ~ ( m1_subset_1 @ SY304 @ ( u1_struct_0 @ SV45 ) )
| ( ( k3_group_1 @ SV45 @ ( k1_group_1 @ SV45 @ SY303 @ SY304 ) )
= ( k1_group_1 @ SV45 @ ( k3_group_1 @ SV45 @ SY304 ) @ ( k3_group_1 @ SV45 @ SY303 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5675]) ).
thf(5763,plain,
! [SV46: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV46 )
| ~ ( v1_group_1 @ SV46 ) )
| ~ ( v3_group_1 @ SV46 ) )
| ~ ( v4_group_1 @ SV46 ) )
| ~ ( l1_group_1 @ SV46 ) ) )
= $true )
| ( ( ( k6_autgroup @ SV46 @ ( k2_group_1 @ SV46 ) )
= ( k6_partfun1 @ ( u1_struct_0 @ SV46 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5676]) ).
thf(5764,plain,
( ( ~ ( m1_subset_1 @ sK7_SX0 @ ( u1_struct_0 @ sK1_A ) )
| ( ( k7_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK1_A ) @ ( k6_autgroup @ sK1_A @ ( k3_group_1 @ sK1_A @ sK7_SX0 ) ) @ ( k6_autgroup @ sK1_A @ sK7_SX0 ) )
= ( k6_autgroup @ sK1_A @ ( k2_group_1 @ sK1_A ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[5677]) ).
thf(5765,plain,
! [SV84: $i,SV47: $i] :
( ( ! [SY364: $i,SY365: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV47 )
| ~ ( v3_group_1 @ SV47 ) )
| ~ ( v4_group_1 @ SV47 ) )
| ~ ( l1_group_1 @ SV47 ) )
| ~ ( m1_subset_1 @ SV84 @ ( u1_struct_0 @ SV47 ) ) )
| ~ ( m1_subset_1 @ SY364 @ ( u1_struct_0 @ SV47 ) ) )
| ~ ( m1_subset_1 @ SY365 @ ( u1_struct_0 @ SV47 ) ) )
| ( m1_subset_1 @ ( k3_group_5 @ SV47 @ SV84 @ SY364 @ SY365 ) @ ( u1_struct_0 @ SV47 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5678]) ).
thf(5766,plain,
! [SV48: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV48 )
| ~ ( v3_group_1 @ SV48 ) )
| ~ ( v4_group_1 @ SV48 ) )
| ~ ( l1_group_1 @ SV48 ) ) )
= $true )
| ( ( ! [SY308: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY308 )
| ~ ( v3_group_1 @ SY308 ) )
| ~ ( v4_group_1 @ SY308 ) )
| ~ ( l1_group_1 @ SY308 ) )
| ! [SY309: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY309 )
| ~ ( v3_group_1 @ SY309 ) )
| ~ ( v4_group_1 @ SY309 ) )
| ~ ( l1_group_1 @ SY309 ) )
| ~ ~ ( ~ ( r1_group_6 @ SV48 @ SY308 )
| ~ ( r1_group_6 @ SY308 @ SY309 ) )
| ( r1_group_6 @ SV48 @ SY309 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5679]) ).
thf(5767,plain,
! [SV85: $i,SV49: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV49 )
| ~ ( v3_group_1 @ SV49 ) )
| ~ ( v4_group_1 @ SV49 ) )
| ~ ( l1_group_1 @ SV49 ) )
| ~ ( m1_subset_1 @ SV85 @ ( u1_struct_0 @ SV49 ) ) )
| ( m1_subset_1 @ ( k3_group_1 @ SV49 @ SV85 ) @ ( u1_struct_0 @ SV49 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5680]) ).
thf(5768,plain,
! [SV50: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV50 )
| ~ ( v3_group_1 @ SV50 ) )
| ~ ( v4_group_1 @ SV50 ) )
| ~ ( l1_group_1 @ SV50 ) ) )
= $true )
| ( ( ( k3_group_1 @ SV50 @ ( k2_group_1 @ SV50 ) )
= ( k2_group_1 @ SV50 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5681]) ).
thf(5769,plain,
! [SV86: $i,SV51: $i] :
( ( ! [SY366: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV51 )
| ~ ( v3_group_1 @ SV51 ) )
| ~ ( v4_group_1 @ SV51 ) )
| ~ ( l1_group_1 @ SV51 ) )
| ~ ( m1_subset_1 @ SV86 @ ( u1_struct_0 @ SV51 ) ) )
| ~ ( m1_subset_1 @ SY366 @ ( u1_struct_0 @ SV51 ) ) )
| ~ ( r2_group_3 @ SV51 @ SV86 @ SY366 )
| ( r2_group_3 @ SV51 @ SY366 @ SV86 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5682]) ).
thf(5770,plain,
! [SV52: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV52 )
| ~ ( v1_group_1 @ SV52 ) )
| ~ ( v3_group_1 @ SV52 ) )
| ~ ( v4_group_1 @ SV52 ) )
| ~ ( l1_group_1 @ SV52 ) ) )
= $true )
| ( ( ! [SY313: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY313 )
| ~ ( v1_group_1 @ SY313 ) )
| ~ ( v3_group_1 @ SY313 ) )
| ~ ( v4_group_1 @ SY313 ) )
| ~ ( l1_group_1 @ SY313 ) )
| ~ ( r1_group_6 @ SV52 @ SY313 )
| ( r1_group_6 @ SY313 @ SV52 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5683]) ).
thf(5771,plain,
! [SV53: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV53 )
| ~ ( v3_group_1 @ SV53 ) )
| ~ ( v4_group_1 @ SV53 ) )
| ~ ( l1_group_1 @ SV53 ) ) )
= $true )
| ( ( ! [SY314: $i] :
( ~ ( m1_group_2 @ SY314 @ SV53 )
| ( ( k2_group_1 @ SY314 )
= ( k2_group_1 @ SV53 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5684]) ).
thf(5772,plain,
! [SV54: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV54 )
| ~ ( v3_group_1 @ SV54 ) )
| ~ ( v4_group_1 @ SV54 ) )
| ~ ( l1_group_1 @ SV54 ) ) )
= $true )
| ( ( ! [SY315: $i] :
( ~ ( m1_subset_1 @ SY315 @ ( u1_struct_0 @ SV54 ) )
| ! [SY316: $i] :
( ~ ( m1_subset_1 @ SY316 @ ( u1_struct_0 @ SV54 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV54 @ SY315 @ SY316 )
!= ( k1_group_1 @ SV54 @ SY316 @ SY315 ) )
| ( ( k1_group_1 @ SV54 @ SY315 @ ( k3_group_1 @ SV54 @ SY316 ) )
= ( k1_group_1 @ SV54 @ ( k3_group_1 @ SV54 @ SY316 ) @ SY315 ) ) )
| ~ ( ( ( k1_group_1 @ SV54 @ SY315 @ ( k3_group_1 @ SV54 @ SY316 ) )
!= ( k1_group_1 @ SV54 @ ( k3_group_1 @ SV54 @ SY316 ) @ SY315 ) )
| ( ( k1_group_1 @ SV54 @ SY315 @ SY316 )
= ( k1_group_1 @ SV54 @ SY316 @ SY315 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5685]) ).
thf(5773,plain,
! [SV55: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV55 )
| ~ ( v3_group_1 @ SV55 ) )
| ~ ( v4_group_1 @ SV55 ) )
| ~ ( l1_group_1 @ SV55 ) ) )
= $true )
| ( ( ! [SY317: $i] :
( ~ ( m1_subset_1 @ SY317 @ ( u1_struct_0 @ SV55 ) )
| ! [SY318: $i] :
( ~ ( m1_group_2 @ SY318 @ SV55 )
| ! [SY319: $i] :
( ~ ( m1_subset_1 @ SY319 @ ( u1_struct_0 @ SY318 ) )
| ( SY319 != SY317 )
| ( ( k3_group_1 @ SY318 @ SY319 )
= ( k3_group_1 @ SV55 @ SY317 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5686]) ).
thf(5774,plain,
! [SV56: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV56 )
| ~ ( v3_group_1 @ SV56 ) )
| ~ ( v4_group_1 @ SV56 ) )
| ~ ( l1_group_1 @ SV56 ) ) )
= $true )
| ( ( ! [SY320: $i] :
( ~ ( m1_subset_1 @ SY320 @ ( u1_struct_0 @ SV56 ) )
| ! [SY321: $i] :
( ~ ( m1_subset_1 @ SY321 @ ( u1_struct_0 @ SV56 ) )
| ~ ~ ( ( ( k1_group_1 @ SV56 @ SY320 @ SY321 )
!= ( k2_group_1 @ SV56 ) )
| ( ( k1_group_1 @ SV56 @ SY321 @ SY320 )
!= ( k2_group_1 @ SV56 ) ) )
| ( SY321
= ( k3_group_1 @ SV56 @ SY320 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5687]) ).
thf(5775,plain,
! [SV57: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV57 )
| ~ ( v3_group_1 @ SV57 ) )
| ~ ( v4_group_1 @ SV57 ) )
| ~ ( l1_group_1 @ SV57 ) ) )
= $true )
| ( ( ! [SY322: $i] :
( ~ ( m1_subset_1 @ SY322 @ ( u1_struct_0 @ SV57 ) )
| ( ( k2_group_3 @ SV57 @ SY322 @ SY322 )
= SY322 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5688]) ).
thf(5776,plain,
! [SV58: $i] :
( ( ( ~ ~ $true )
= $true )
| ( ( ! [SY323: $i] :
( ~ ( m1_subset_1 @ SY323 @ SV58 )
| ( SY323
= ( k8_subset_1 @ SV58 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5689]) ).
thf(5777,plain,
! [SV59: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV59 )
| ~ ( v3_group_1 @ SV59 ) )
| ~ ( v4_group_1 @ SV59 ) )
| ~ ( l1_group_1 @ SV59 ) ) )
= $true )
| ( ( ! [SY324: $i] :
( ~ ( m1_subset_1 @ SY324 @ ( u1_struct_0 @ SV59 ) )
| ! [SY325: $i] :
( ~ ( m1_subset_1 @ SY325 @ ( u1_struct_0 @ SV59 ) )
| ~ ! [SY326: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY326 @ ( u1_struct_0 @ SV59 ) )
| ( ( k1_group_1 @ SV59 @ SY324 @ SY326 )
!= SY325 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5690]) ).
thf(5778,plain,
! [SV60: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV60 )
| ~ ( v3_group_1 @ SV60 ) )
| ~ ( v4_group_1 @ SV60 ) )
| ~ ( l1_group_1 @ SV60 ) ) )
= $true )
| ( ( ! [SY327: $i] :
( ~ ( m1_subset_1 @ SY327 @ ( u1_struct_0 @ SV60 ) )
| ! [SY328: $i] :
( ~ ( m1_subset_1 @ SY328 @ ( u1_struct_0 @ SV60 ) )
| ~ ( ~ ( ( SY328
!= ( k3_group_1 @ SV60 @ SY327 ) )
| ~ ( ( ( k1_group_1 @ SV60 @ SY327 @ SY328 )
!= ( k2_group_1 @ SV60 ) )
| ( ( k1_group_1 @ SV60 @ SY328 @ SY327 )
!= ( k2_group_1 @ SV60 ) ) ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV60 @ SY327 @ SY328 )
!= ( k2_group_1 @ SV60 ) )
| ( ( k1_group_1 @ SV60 @ SY328 @ SY327 )
!= ( k2_group_1 @ SV60 ) ) )
| ( SY328
= ( k3_group_1 @ SV60 @ SY327 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5691]) ).
thf(5779,plain,
! [SV87: $i,SV61: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV61 )
| ~ ( v1_group_1 @ SV61 ) )
| ~ ( v3_group_1 @ SV61 ) )
| ~ ( v4_group_1 @ SV61 ) )
| ~ ( l1_group_1 @ SV61 ) )
| ~ ~ ( v3_struct_0 @ SV87 ) )
| ~ ( v1_group_1 @ SV87 ) )
| ~ ( v3_group_1 @ SV87 ) )
| ~ ( v4_group_1 @ SV87 ) )
| ~ ( l1_group_1 @ SV87 ) )
| ~ ( r2_group_6 @ SV61 @ SV87 )
| ( r2_group_6 @ SV87 @ SV61 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5692]) ).
thf(5780,plain,
! [SV62: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV62 )
| ~ ( v1_group_1 @ SV62 ) )
| ~ ( v3_group_1 @ SV62 ) )
| ~ ( v4_group_1 @ SV62 ) )
| ~ ( l1_group_1 @ SV62 ) ) )
= $true )
| ( ( ! [SY330: $i] :
( ~ ( m1_subset_1 @ SY330 @ ( u1_struct_0 @ SV62 ) )
| ( ( k8_funct_2 @ ( u1_struct_0 @ SV62 ) @ ( u1_struct_0 @ SV62 ) @ ( k6_autgroup @ SV62 @ ( k2_group_1 @ SV62 ) ) @ SY330 )
= SY330 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5693]) ).
thf(5781,plain,
( ( ~ ~ ( ~ ( l1_funcsdom @ sK8_SX0 )
| ~ ~ ( v3_struct_0 @ sK8_SX0 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[5694]) ).
thf(5782,plain,
( ( ~ ~ ( ~ ( l1_group_1 @ sK9_SX0 )
| ~ ( v1_group_1 @ sK9_SX0 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[5695]) ).
thf(5783,plain,
! [SV88: $i,SV63: $i] :
( ( ! [SY367: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV63 )
| ~ ( l1_group_1 @ SV63 ) )
| ~ ( m1_subset_1 @ SV88 @ ( u1_struct_0 @ SV63 ) ) )
| ~ ( m1_subset_1 @ SY367 @ ( u1_struct_0 @ SV63 ) ) )
| ( m1_subset_1 @ ( k1_group_1 @ SV63 @ SV88 @ SY367 ) @ ( u1_struct_0 @ SV63 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5696]) ).
thf(5784,plain,
! [SV64: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV64 )
| ~ ( v3_group_1 @ SV64 ) )
| ~ ( v4_group_1 @ SV64 ) )
| ~ ( l1_group_1 @ SV64 ) ) )
= $true )
| ( ( ! [SY333: $i] :
( ~ ( m1_subset_1 @ SY333 @ ( u1_struct_0 @ SV64 ) )
| ( ( k2_group_5 @ SV64 @ SY333 @ SY333 )
= ( k2_group_1 @ SV64 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5697]) ).
thf(5785,plain,
! [SV89: $i,SV65: $i] :
( ( ~ ( r2_hidden @ SV65 @ SV89 )
| ( m1_subset_1 @ SV65 @ SV89 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5698]) ).
thf(5786,plain,
! [SV66: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV66 )
| ~ ( v3_group_1 @ SV66 ) )
| ~ ( v4_group_1 @ SV66 ) )
| ~ ( l1_group_1 @ SV66 ) ) )
= $true )
| ( ( ! [SY335: $i] :
( ~ ( m1_subset_1 @ SY335 @ ( u1_struct_0 @ SV66 ) )
| ! [SY336: $i] :
( ~ ( m1_subset_1 @ SY336 @ ( u1_struct_0 @ SV66 ) )
| ~ ( r1_group_3 @ SV66 @ SY335 @ SY336 )
| ( r1_group_3 @ SV66 @ SY336 @ SY335 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5699]) ).
thf(5787,plain,
! [SV67: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV67 )
| ~ ( v3_group_1 @ SV67 ) )
| ~ ( v4_group_1 @ SV67 ) )
| ~ ( l1_group_1 @ SV67 ) ) )
= $true )
| ( ( ! [SY337: $i] :
( ~ ( m1_subset_1 @ SY337 @ ( u1_struct_0 @ SV67 ) )
| ( ( k3_group_1 @ SV67 @ ( k3_group_1 @ SV67 @ SY337 ) )
= SY337 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5700]) ).
thf(5788,plain,
! [SV68: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV68 )
| ~ ( v3_group_1 @ SV68 ) )
| ~ ( v4_group_1 @ SV68 ) )
| ~ ( l1_group_1 @ SV68 ) ) )
= $true )
| ( ( ! [SY338: $i] :
( ~ ( m1_subset_1 @ SY338 @ ( u1_struct_0 @ SV68 ) )
| ( ( k2_group_3 @ SV68 @ SY338 @ ( k2_group_1 @ SV68 ) )
= SY338 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5701]) ).
thf(5789,plain,
! [SV69: $i,SV90: $i] :
( ( ~ ( m1_subset_1 @ SV90 @ SV69 )
| ! [SY368: $i,SY369: $i] :
( ( ( g2_struct_0 @ SV69 @ SV90 )
!= ( g2_struct_0 @ SY368 @ SY369 ) )
| ~ ( ( SV69 != SY368 )
| ( SV90 != SY369 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5702]) ).
thf(5790,plain,
! [SV70: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( ~ ! [SY342: $i] :
( ~ ( m1_subset_1 @ SY342 @ ( u1_struct_0 @ SV70 ) )
| ! [SY343: $i] :
( ~ ( m1_subset_1 @ SY343 @ ( u1_struct_0 @ SV70 ) )
| ! [SY344: $i] :
( ~ ( m1_subset_1 @ SY344 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ SY342 @ SY343 ) @ SY344 )
= ( k1_group_1 @ SV70 @ SY342 @ ( k1_group_1 @ SV70 @ SY343 @ SY344 ) ) ) ) ) )
| ! [SY345: $i] :
( ~ ( m1_subset_1 @ SY345 @ ( u1_struct_0 @ SV70 ) )
| ~ ! [SY346: $i] :
( ~ ( m1_subset_1 @ SY346 @ ( u1_struct_0 @ SV70 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV70 @ SY346 @ SY345 )
!= SY346 )
| ( ( k1_group_1 @ SV70 @ SY345 @ SY346 )
!= SY346 ) )
| ~ ~ ! [SY347: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY347 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ SY346 @ SY347 )
!= SY345 ) )
| ( ( k1_group_1 @ SV70 @ SY347 @ SY346 )
!= SY345 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5703]) ).
thf(5791,plain,
! [SV71: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV71 )
| ~ ( v3_group_1 @ SV71 ) )
| ~ ( v4_group_1 @ SV71 ) )
| ~ ( l1_group_1 @ SV71 ) ) )
= $true )
| ( ( ! [SY348: $i] :
( ~ ( m1_subset_1 @ SY348 @ ( u1_struct_0 @ SV71 ) )
| ! [SY349: $i] :
( ~ ( m1_subset_1 @ SY349 @ ( u1_struct_0 @ SV71 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SY348 @ SY349 ) @ ( k3_group_1 @ SV71 @ SY349 ) )
!= SY348 )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SY348 @ ( k3_group_1 @ SV71 @ SY349 ) ) @ SY349 )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY349 ) @ SY349 ) @ SY348 )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SY349 @ ( k3_group_1 @ SV71 @ SY349 ) ) @ SY348 )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ SY348 @ ( k1_group_1 @ SV71 @ SY349 @ ( k3_group_1 @ SV71 @ SY349 ) ) )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ SY348 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY349 ) @ SY349 ) )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY349 ) @ ( k1_group_1 @ SV71 @ SY349 @ SY348 ) )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ SY349 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY349 ) @ SY348 ) )
!= SY348 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5704]) ).
thf(5792,plain,
! [SV91: $i,SV72: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV72 )
| ~ ( v1_group_1 @ SV72 ) )
| ~ ( v3_group_1 @ SV72 ) )
| ~ ( v4_group_1 @ SV72 ) )
| ~ ( l1_group_1 @ SV72 ) )
| ~ ~ ( v3_struct_0 @ SV91 ) )
| ~ ( v1_group_1 @ SV91 ) )
| ~ ( v3_group_1 @ SV91 ) )
| ~ ( v4_group_1 @ SV91 ) )
| ~ ( l1_group_1 @ SV91 ) )
| ( r2_group_6 @ SV72 @ SV72 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5705]) ).
thf(5793,plain,
! [SV73: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV73 )
| ~ ( v3_group_1 @ SV73 ) )
| ~ ( v4_group_1 @ SV73 ) )
| ~ ( l1_group_1 @ SV73 ) ) )
= $true )
| ( ( ! [SY351: $i] :
( ~ ( m1_subset_1 @ SY351 @ ( u1_struct_0 @ SV73 ) )
| ~ ( ( ( k2_group_3 @ SV73 @ SY351 @ ( k3_group_1 @ SV73 @ SY351 ) )
!= SY351 )
| ( ( k2_group_3 @ SV73 @ ( k3_group_1 @ SV73 @ SY351 ) @ SY351 )
!= ( k3_group_1 @ SV73 @ SY351 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5706]) ).
thf(5794,plain,
! [SV74: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV74 )
| ~ ( v3_group_1 @ SV74 ) )
| ~ ( v4_group_1 @ SV74 ) )
| ~ ( l1_group_1 @ SV74 ) ) )
= $true )
| ( ( ! [SY352: $i] :
( ~ ( m1_subset_1 @ SY352 @ ( u1_struct_0 @ SV74 ) )
| ! [SY353: $i] :
( ~ ( m1_subset_1 @ SY353 @ ( u1_struct_0 @ SV74 ) )
| ! [SY354: $i] :
( ~ ( m1_subset_1 @ SY354 @ ( u1_struct_0 @ SV74 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV74 @ SY352 @ SY353 )
!= SY354 )
| ( SY353
= ( k1_group_1 @ SV74 @ ( k3_group_1 @ SV74 @ SY352 ) @ SY354 ) ) )
| ~ ( ( SY353
!= ( k1_group_1 @ SV74 @ ( k3_group_1 @ SV74 @ SY352 ) @ SY354 ) )
| ( ( k1_group_1 @ SV74 @ SY352 @ SY353 )
= SY354 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5707]) ).
thf(5795,plain,
! [SV75: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV75 )
| ~ ( v3_group_1 @ SV75 ) )
| ~ ( v4_group_1 @ SV75 ) )
| ~ ( l1_group_1 @ SV75 ) ) )
= $true )
| ( ( ! [SY355: $i] :
( ~ ( m1_subset_1 @ SY355 @ ( u1_struct_0 @ SV75 ) )
| ( ( k3_group_1 @ SV75 @ SY355 )
!= ( k2_group_1 @ SV75 ) )
| ( SY355
= ( k2_group_1 @ SV75 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5708]) ).
thf(5796,plain,
( ( ~ ~ ( ~ ~ ( ~ ( l1_group_1 @ sK10_SX0 )
| ~ ~ ( v3_struct_0 @ sK10_SX0 ) )
| ~ ( v1_group_1 @ sK10_SX0 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[5709]) ).
thf(5797,plain,
! [SV76: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV76 )
| ~ ( v3_group_1 @ SV76 ) )
| ~ ( v4_group_1 @ SV76 ) )
| ~ ( l1_group_1 @ SV76 ) ) )
= $true )
| ( ( ~ ( v5_group_1 @ ( k2_group_1 @ SV76 ) @ SV76 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5710]) ).
thf(5798,plain,
! [SV77: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV77 )
| ~ ( v3_group_1 @ SV77 ) )
| ~ ( v4_group_1 @ SV77 ) )
| ~ ( l1_group_1 @ SV77 ) ) )
= $true )
| ( ( ! [SY356: $i] :
( ~ ( m1_subset_1 @ SY356 @ ( u1_struct_0 @ SV77 ) )
| ! [SY357: $i] :
( ~ ( m1_subset_1 @ SY357 @ ( u1_struct_0 @ SV77 ) )
| ~ ! [SY358: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY358 @ ( u1_struct_0 @ SV77 ) )
| ( ( k1_group_1 @ SV77 @ SY358 @ SY356 )
!= SY357 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5711]) ).
thf(5799,plain,
! [SV78: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV78 )
| ~ ( v3_group_1 @ SV78 ) )
| ~ ( l1_group_1 @ SV78 ) ) )
= $true )
| ( ( ~ ! [SY359: $i] :
~ ( m1_group_2 @ SY359 @ SV78 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5712]) ).
thf(5800,plain,
( ( ~ ~ ( ~ ( l2_rlvect_1 @ sK11_SX0 )
| ~ ~ ( v3_struct_0 @ sK11_SX0 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[5713]) ).
thf(5801,plain,
( ( ~ ( ~ ( l1_struct_0 @ sK2_SX0 )
| ~ ~ ( v3_struct_0 @ sK2_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[5714]) ).
thf(5802,plain,
! [SV2: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV2 )
| ~ ( v1_group_1 @ SV2 ) )
| ~ ( v3_group_1 @ SV2 ) )
| ~ ( v4_group_1 @ SV2 ) )
| ~ ( l1_group_1 @ SV2 ) ) )
= $false )
| ( ( ! [SY222: $i] :
( ~ ( m1_subset_1 @ SY222 @ ( u1_struct_0 @ SV2 ) )
| ! [SY223: $i] :
( ~ ( m1_subset_1 @ SY223 @ ( u1_struct_0 @ SV2 ) )
| ( ( k6_autgroup @ SV2 @ ( k1_group_1 @ SV2 @ SY222 @ SY223 ) )
= ( k7_funct_2 @ ( u1_struct_0 @ SV2 ) @ ( u1_struct_0 @ SV2 ) @ ( u1_struct_0 @ SV2 ) @ ( k6_autgroup @ SV2 @ SY222 ) @ ( k6_autgroup @ SV2 @ SY223 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5715]) ).
thf(5803,plain,
! [SV3: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV3 )
| ~ ( v3_group_1 @ SV3 ) )
| ~ ( v4_group_1 @ SV3 ) )
| ~ ( l1_group_1 @ SV3 ) ) )
= $false )
| ( ( ! [SY224: $i] :
( ~ ( m1_subset_1 @ SY224 @ ( u1_struct_0 @ SV3 ) )
| ! [SY225: $i] :
( ~ ( m1_subset_1 @ SY225 @ ( u1_struct_0 @ SV3 ) )
| ~ ( ( ( k1_group_1 @ SV3 @ SY224 @ SY225 )
= SY224 )
| ( ( k1_group_1 @ SV3 @ SY225 @ SY224 )
= SY224 ) )
| ( SY225
= ( k2_group_1 @ SV3 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5716]) ).
thf(5804,plain,
! [SV4: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV4 )
| ~ ( v3_group_1 @ SV4 ) )
| ~ ( v4_group_1 @ SV4 ) )
| ~ ( l1_group_1 @ SV4 ) ) )
= $false )
| ( ( ! [SY226: $i] :
( ~ ( m1_group_2 @ SY226 @ SV4 )
| ! [SY227: $i] :
( ~ ( m1_group_2 @ SY227 @ SV4 )
| ( ( k2_group_1 @ SY226 )
= ( k2_group_1 @ SY227 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5717]) ).
thf(5805,plain,
! [SV5: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV5 )
| ~ ( v3_group_1 @ SV5 ) )
| ~ ( v4_group_1 @ SV5 ) )
| ~ ( l1_group_1 @ SV5 ) ) )
= $false )
| ( ( ! [SY228: $i] :
( ~ ( m1_subset_1 @ SY228 @ ( u1_struct_0 @ SV5 ) )
| ! [SY229: $i] :
( ~ ( m1_subset_1 @ SY229 @ ( u1_struct_0 @ SV5 ) )
| ~ ( ( ( k2_group_3 @ SV5 @ ( k2_group_3 @ SV5 @ SY228 @ SY229 ) @ ( k3_group_1 @ SV5 @ SY229 ) )
!= SY228 )
| ( ( k2_group_3 @ SV5 @ ( k2_group_3 @ SV5 @ SY228 @ ( k3_group_1 @ SV5 @ SY229 ) ) @ SY229 )
!= SY228 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5718]) ).
thf(5806,plain,
! [SV6: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV6 )
| ~ ( v3_group_1 @ SV6 ) )
| ~ ( v4_group_1 @ SV6 ) )
| ~ ( l1_group_1 @ SV6 ) ) )
= $false )
| ( ( ! [SY230: $i] :
( ~ ( m1_subset_1 @ SY230 @ ( u1_struct_0 @ SV6 ) )
| ( ( k2_group_3 @ SV6 @ ( k2_group_1 @ SV6 ) @ SY230 )
= ( k2_group_1 @ SV6 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5719]) ).
thf(5807,plain,
! [SV7: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV7 )
| ~ ( v3_group_1 @ SV7 ) )
| ~ ( v4_group_1 @ SV7 ) )
| ~ ( l1_group_1 @ SV7 ) ) )
= $false )
| ( ( ! [SY231: $i] :
( ~ ( m1_subset_1 @ SY231 @ ( u1_struct_0 @ SV7 ) )
| ~ ( ( r2_group_3 @ SV7 @ SY231 @ ( k2_group_1 @ SV7 ) )
| ( r2_group_3 @ SV7 @ ( k2_group_1 @ SV7 ) @ SY231 ) )
| ( SY231
= ( k2_group_1 @ SV7 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5720]) ).
thf(5808,plain,
! [SV8: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV8 )
| ~ ( v3_group_1 @ SV8 ) )
| ~ ( v4_group_1 @ SV8 ) )
| ~ ( l1_group_1 @ SV8 ) ) )
= $false )
| ( ( ! [SY232: $i] :
( ~ ( m1_subset_1 @ SY232 @ ( u1_struct_0 @ SV8 ) )
| ! [SY233: $i] :
( ~ ( m1_subset_1 @ SY233 @ ( u1_struct_0 @ SV8 ) )
| ! [SY234: $i] :
( ~ ( m1_subset_1 @ SY234 @ ( u1_struct_0 @ SV8 ) )
| ~ ( ( ( k1_group_1 @ SV8 @ SY232 @ SY233 )
= ( k1_group_1 @ SV8 @ SY232 @ SY234 ) )
| ( ( k1_group_1 @ SV8 @ SY233 @ SY232 )
= ( k1_group_1 @ SV8 @ SY234 @ SY232 ) ) )
| ( SY233 = SY234 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5721]) ).
thf(5809,plain,
! [SV9: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV9 )
| ~ ( l1_group_1 @ SV9 ) ) )
= $false )
| ( ( m1_subset_1 @ ( k2_group_1 @ SV9 ) @ ( u1_struct_0 @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5722]) ).
thf(5810,plain,
! [SV10: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV10 )
| ~ ( v3_group_1 @ SV10 ) )
| ~ ( v4_group_1 @ SV10 ) )
| ~ ( l1_group_1 @ SV10 ) ) )
= $false )
| ( ( ! [SY235: $i] :
( ~ ( m1_subset_1 @ SY235 @ ( u1_struct_0 @ SV10 ) )
| ! [SY236: $i] :
( ~ ( m1_subset_1 @ SY236 @ ( u1_struct_0 @ SV10 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV10 @ SY235 @ SY236 )
!= ( k1_group_1 @ SV10 @ SY236 @ SY235 ) )
| ( ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY235 ) @ ( k3_group_1 @ SV10 @ SY236 ) )
= ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY236 ) @ ( k3_group_1 @ SV10 @ SY235 ) ) ) )
| ~ ( ( ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY235 ) @ ( k3_group_1 @ SV10 @ SY236 ) )
!= ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY236 ) @ ( k3_group_1 @ SV10 @ SY235 ) ) )
| ( ( k1_group_1 @ SV10 @ SY235 @ SY236 )
= ( k1_group_1 @ SV10 @ SY236 @ SY235 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5723]) ).
thf(5811,plain,
! [SV11: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV11 )
| ~ ( v1_group_1 @ SV11 ) )
| ~ ( v3_group_1 @ SV11 ) )
| ~ ( v4_group_1 @ SV11 ) )
| ~ ( l1_group_1 @ SV11 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k3_autgroup @ SV11 ) )
| ~ ( v1_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( v3_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( v4_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( l1_group_1 @ ( k3_autgroup @ SV11 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5724]) ).
thf(5812,plain,
! [SV12: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV12 )
| ~ ( v3_group_1 @ SV12 ) )
| ~ ( l1_group_1 @ SV12 ) ) )
= $false )
| ( ( ! [SY237: $i] :
( ~ ( m1_group_2 @ SY237 @ SV12 )
| ! [SY238: $i] :
( ~ ( m1_subset_1 @ SY238 @ ( u1_struct_0 @ SY237 ) )
| ( m1_subset_1 @ SY238 @ ( u1_struct_0 @ SV12 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5725]) ).
thf(5813,plain,
! [SV13: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV13 )
| ~ ( v3_group_1 @ SV13 ) )
| ~ ( v4_group_1 @ SV13 ) )
| ~ ( l1_group_1 @ SV13 ) ) )
= $false )
| ( ( ! [SY239: $i] :
( ~ ( m1_subset_1 @ SY239 @ ( u1_struct_0 @ SV13 ) )
| ! [SY240: $i] :
( ~ ( m1_subset_1 @ SY240 @ ( u1_struct_0 @ SV13 ) )
| ~ ( ~ ~ ( ( ( k3_group_5 @ SV13 @ SY239 @ SY240 @ ( k2_group_1 @ SV13 ) )
!= ( k2_group_1 @ SV13 ) )
| ( ( k3_group_5 @ SV13 @ SY239 @ ( k2_group_1 @ SV13 ) @ SY240 )
!= ( k2_group_1 @ SV13 ) ) )
| ( ( k3_group_5 @ SV13 @ ( k2_group_1 @ SV13 ) @ SY239 @ SY240 )
!= ( k2_group_1 @ SV13 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5726]) ).
thf(5814,plain,
! [SV14: $i] :
( ( ( l1_group_1 @ SV14 )
= $false )
| ( ( l1_struct_0 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5727]) ).
thf(5815,plain,
! [SV15: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV15 )
| ~ ( v3_group_1 @ SV15 ) )
| ~ ( v4_group_1 @ SV15 ) )
| ~ ( l1_group_1 @ SV15 ) ) )
= $false )
| ( ( ! [SY241: $i] :
( ~ ( m1_subset_1 @ SY241 @ ( u1_struct_0 @ SV15 ) )
| ! [SY242: $i] :
( ~ ( m1_subset_1 @ SY242 @ ( u1_struct_0 @ SV15 ) )
| ( ( k2_group_3 @ SV15 @ ( k3_group_1 @ SV15 @ SY241 ) @ SY242 )
= ( k3_group_1 @ SV15 @ ( k2_group_3 @ SV15 @ SY241 @ SY242 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5728]) ).
thf(5816,plain,
! [SV16: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV16 )
| ~ ( l1_group_1 @ SV16 ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( v3_group_1 @ SV16 )
| ~ ! [SY243: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY243 @ ( u1_struct_0 @ SV16 ) )
| ~ ! [SY244: $i] :
( ~ ( m1_subset_1 @ SY244 @ ( u1_struct_0 @ SV16 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV16 @ SY244 @ SY243 )
!= SY244 )
| ( ( k1_group_1 @ SV16 @ SY243 @ SY244 )
!= SY244 ) )
| ~ ~ ! [SY245: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY245 @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ SY244 @ SY245 )
!= SY243 ) )
| ( ( k1_group_1 @ SV16 @ SY245 @ SY244 )
!= SY243 ) ) ) ) ) )
| ~ ( ~ ~ ! [SY246: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY246 @ ( u1_struct_0 @ SV16 ) )
| ~ ! [SY247: $i] :
( ~ ( m1_subset_1 @ SY247 @ ( u1_struct_0 @ SV16 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV16 @ SY247 @ SY246 )
!= SY247 )
| ( ( k1_group_1 @ SV16 @ SY246 @ SY247 )
!= SY247 ) )
| ~ ~ ! [SY248: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY248 @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ SY247 @ SY248 )
!= SY246 ) )
| ( ( k1_group_1 @ SV16 @ SY248 @ SY247 )
!= SY246 ) ) ) ) )
| ( v3_group_1 @ SV16 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5729]) ).
thf(5817,plain,
! [SV17: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV17 )
| ~ ( v3_group_1 @ SV17 ) )
| ~ ( v4_group_1 @ SV17 ) )
| ~ ( l1_group_1 @ SV17 ) ) )
= $false )
| ( ( ! [SY249: $i] :
( ~ ( m1_subset_1 @ SY249 @ ( u1_struct_0 @ SV17 ) )
| ! [SY250: $i] :
( ~ ( m1_subset_1 @ SY250 @ ( u1_struct_0 @ SV17 ) )
| ( ( k2_group_3 @ SV17 @ SY249 @ SY250 )
!= ( k2_group_1 @ SV17 ) )
| ( SY249
= ( k2_group_1 @ SV17 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5730]) ).
thf(5818,plain,
! [SV18: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV18 )
| ~ ( v3_group_1 @ SV18 ) )
| ~ ( v4_group_1 @ SV18 ) )
| ~ ( l1_group_1 @ SV18 ) ) )
= $false )
| ( ( ! [SY251: $i] :
( ~ ( m1_subset_1 @ SY251 @ ( u1_struct_0 @ SV18 ) )
| ( r1_group_3 @ SV18 @ SY251 @ SY251 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5731]) ).
thf(5819,plain,
! [SV92: $i,SV79: $i,SV19: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV19 )
| ~ ( v3_group_1 @ SV19 ) )
| ~ ( v4_group_1 @ SV19 ) )
| ~ ( l1_group_1 @ SV19 ) )
| ~ ( m1_subset_1 @ SV79 @ ( u1_struct_0 @ SV19 ) ) )
| ~ ( m1_subset_1 @ SV92 @ ( u1_struct_0 @ SV19 ) ) )
| ( m1_subset_1 @ ( k2_group_3 @ SV19 @ SV79 @ SV92 ) @ ( u1_struct_0 @ SV19 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5732]) ).
thf(5820,plain,
! [SV20: $i] :
( ( ( l1_vectsp_1 @ SV20 )
= $false )
| ( ( l1_group_1 @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5733]) ).
thf(5821,plain,
! [SV21: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV21 )
| ~ ( v3_group_1 @ SV21 ) )
| ~ ( v4_group_1 @ SV21 ) )
| ~ ( l1_group_1 @ SV21 ) ) )
= $false )
| ( ( ! [SY254: $i] :
( ~ ( m1_subset_1 @ SY254 @ ( u1_struct_0 @ SV21 ) )
| ! [SY255: $i] :
( ~ ( m1_subset_1 @ SY255 @ ( u1_struct_0 @ SV21 ) )
| ! [SY256: $i] :
( ~ ( m1_subset_1 @ SY256 @ ( u1_struct_0 @ SV21 ) )
| ~ ~ ( ~ ( r2_group_3 @ SV21 @ SY254 @ SY255 )
| ~ ( r2_group_3 @ SV21 @ SY255 @ SY256 ) )
| ( r2_group_3 @ SV21 @ SY254 @ SY256 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5734]) ).
thf(5822,plain,
! [SV22: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV22 )
| ~ ( v1_group_1 @ SV22 ) )
| ~ ( v3_group_1 @ SV22 ) )
| ~ ( v4_group_1 @ SV22 ) )
| ~ ( l1_group_1 @ SV22 ) ) )
= $false )
| ( ( ! [SY257: $i] :
( ~ ~ ( ~ ( v1_group_1 @ SY257 )
| ~ ( m1_group_2 @ SY257 @ SV22 ) )
| ( ( u1_struct_0 @ SY257 )
!= ( u1_struct_0 @ SV22 ) )
| ( SY257 = SV22 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5735]) ).
thf(5823,plain,
! [SV23: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV23 )
| ~ ( v3_group_1 @ SV23 ) )
| ~ ( v4_group_1 @ SV23 ) )
| ~ ( l1_group_1 @ SV23 ) ) )
= $false )
| ( ( ! [SY258: $i] :
( ~ ( m1_subset_1 @ SY258 @ ( u1_struct_0 @ SV23 ) )
| ! [SY259: $i] :
( ~ ( m1_subset_1 @ SY259 @ ( u1_struct_0 @ SV23 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV23 @ SY258 @ SY259 )
!= ( k1_group_1 @ SV23 @ SY259 @ SY258 ) )
| ( ( k3_group_1 @ SV23 @ ( k1_group_1 @ SV23 @ SY258 @ SY259 ) )
= ( k1_group_1 @ SV23 @ ( k3_group_1 @ SV23 @ SY258 ) @ ( k3_group_1 @ SV23 @ SY259 ) ) ) )
| ~ ( ( ( k3_group_1 @ SV23 @ ( k1_group_1 @ SV23 @ SY258 @ SY259 ) )
!= ( k1_group_1 @ SV23 @ ( k3_group_1 @ SV23 @ SY258 ) @ ( k3_group_1 @ SV23 @ SY259 ) ) )
| ( ( k1_group_1 @ SV23 @ SY258 @ SY259 )
= ( k1_group_1 @ SV23 @ SY259 @ SY258 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5736]) ).
thf(5824,plain,
! [SV24: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV24 )
| ~ ( v3_group_1 @ SV24 ) )
| ~ ( v4_group_1 @ SV24 ) )
| ~ ( l1_group_1 @ SV24 ) ) )
= $false )
| ( ( ! [SY260: $i] :
( ~ ( m1_subset_1 @ SY260 @ ( u1_struct_0 @ SV24 ) )
| ~ ( ( ( k2_group_5 @ SV24 @ ( k2_group_1 @ SV24 ) @ SY260 )
!= ( k2_group_1 @ SV24 ) )
| ( ( k2_group_5 @ SV24 @ SY260 @ ( k2_group_1 @ SV24 ) )
!= ( k2_group_1 @ SV24 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5737]) ).
thf(5825,plain,
! [SV25: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV25 )
| ~ ( v3_group_1 @ SV25 ) )
| ~ ( v4_group_1 @ SV25 ) )
| ~ ( l1_group_1 @ SV25 ) ) )
= $false )
| ( ( m1_group_2 @ SV25 @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5738]) ).
thf(5826,plain,
! [SV26: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV26 )
| ~ ( v3_group_1 @ SV26 ) )
| ~ ( v4_group_1 @ SV26 ) )
| ~ ( l1_group_1 @ SV26 ) ) )
= $false )
| ( ( ! [SY261: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY261 )
| ~ ( v3_group_1 @ SY261 ) )
| ~ ( v4_group_1 @ SY261 ) )
| ~ ( l1_group_1 @ SY261 ) )
| ! [SY262: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY262 )
| ~ ( v3_group_1 @ SY262 ) )
| ~ ( v4_group_1 @ SY262 ) )
| ~ ( l1_group_1 @ SY262 ) )
| ~ ~ ( ~ ( m1_group_2 @ SV26 @ SY261 )
| ~ ( m1_group_2 @ SY261 @ SY262 ) )
| ( m1_group_2 @ SV26 @ SY262 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5739]) ).
thf(5827,plain,
! [SV27: $i,SV80: $i] :
( ( ( ~ ( m1_subset_1 @ SV80 @ SV27 ) )
= $true )
| ( ( ~ ! [SY361: $i] :
~ ( m3_realset1 @ SY361 @ SV27 @ SV80 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5740]) ).
thf(5828,plain,
! [SV28: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV28 )
| ~ ( l1_group_1 @ SV28 ) ) )
= $false )
| ( ( ~ ~ ( ~ ! [SY265: $i] :
( ~ ( m1_subset_1 @ SY265 @ ( u1_struct_0 @ SV28 ) )
| ! [SY266: $i] :
( ~ ( m1_subset_1 @ SY266 @ ( u1_struct_0 @ SV28 ) )
| ! [SY267: $i] :
( ~ ( m1_subset_1 @ SY267 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ ( k1_group_1 @ SV28 @ SY265 @ SY266 ) @ SY267 )
= ( k1_group_1 @ SV28 @ SY265 @ ( k1_group_1 @ SV28 @ SY266 @ SY267 ) ) ) ) ) )
| ~ ! [SY268: $i] :
( ~ ( m1_subset_1 @ SY268 @ ( u1_struct_0 @ SV28 ) )
| ! [SY269: $i] :
( ~ ( m1_subset_1 @ SY269 @ ( u1_struct_0 @ SV28 ) )
| ~ ( ~ ~ ! [SY270: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY270 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY268 @ SY270 )
!= SY269 ) )
| ~ ~ ! [SY271: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY271 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY271 @ SY268 )
!= SY269 ) ) ) ) ) )
| ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5741]) ).
thf(5829,plain,
( ( l1_group_1 @ sK3_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[5742]) ).
thf(5830,plain,
! [SV93: $i,SV81: $i,SV29: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV29 )
| ~ ( v3_group_1 @ SV29 ) )
| ~ ( v4_group_1 @ SV29 ) )
| ~ ( l1_group_1 @ SV29 ) )
| ~ ( m1_subset_1 @ SV81 @ ( u1_struct_0 @ SV29 ) ) )
| ~ ( m1_subset_1 @ SV93 @ ( u1_struct_0 @ SV29 ) ) )
| ( m1_subset_1 @ ( k2_group_5 @ SV29 @ SV81 @ SV93 ) @ ( u1_struct_0 @ SV29 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5743]) ).
thf(5831,plain,
! [SV94: $i,SV82: $i,SV30: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV30 )
| ~ ( v3_group_1 @ SV30 ) )
| ~ ( v4_group_1 @ SV30 ) )
| ~ ( l1_group_1 @ SV30 ) )
| ~ ( m1_subset_1 @ SV82 @ ( u1_struct_0 @ SV30 ) ) )
| ~ ( m1_subset_1 @ SV94 @ ( u1_struct_0 @ SV30 ) ) )
| ( r2_group_3 @ SV30 @ SV82 @ SV82 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5744]) ).
thf(5832,plain,
( ( ~ ( ~ ( l2_struct_0 @ sK4_SX0 )
| ~ ~ ( v3_struct_0 @ sK4_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[5745]) ).
thf(5833,plain,
! [SV31: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV31 )
| ~ ( v3_group_1 @ SV31 ) )
| ~ ( v4_group_1 @ SV31 ) )
| ~ ( l1_group_1 @ SV31 ) ) )
= $false )
| ( ( ! [SY276: $i] :
( ~ ( m1_subset_1 @ SY276 @ ( u1_struct_0 @ SV31 ) )
| ! [SY277: $i] :
( ~ ( m1_subset_1 @ SY277 @ ( u1_struct_0 @ SV31 ) )
| ( ( k3_group_1 @ SV31 @ SY276 )
!= ( k3_group_1 @ SV31 @ SY277 ) )
| ( SY276 = SY277 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5746]) ).
thf(5834,plain,
! [SV32: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV32 )
| ~ ( v3_group_1 @ SV32 ) )
| ~ ( v4_group_1 @ SV32 ) )
| ~ ( l1_group_1 @ SV32 ) ) )
= $false )
| ( ( ! [SY278: $i] :
( ~ ( m1_subset_1 @ SY278 @ ( u1_struct_0 @ SV32 ) )
| ~ ( ( ( k2_group_5 @ SV32 @ SY278 @ ( k3_group_1 @ SV32 @ SY278 ) )
!= ( k2_group_1 @ SV32 ) )
| ( ( k2_group_5 @ SV32 @ ( k3_group_1 @ SV32 @ SY278 ) @ SY278 )
!= ( k2_group_1 @ SV32 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5747]) ).
thf(5835,plain,
! [SV33: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV33 )
| ~ ( v3_group_1 @ SV33 ) )
| ~ ( v4_group_1 @ SV33 ) )
| ~ ( l1_group_1 @ SV33 ) ) )
= $false )
| ( ( ! [SY279: $i] :
( ~ ( m1_subset_1 @ SY279 @ ( u1_struct_0 @ SV33 ) )
| ! [SY280: $i] :
( ~ ( m1_subset_1 @ SY280 @ ( u1_struct_0 @ SV33 ) )
| ! [SY281: $i] :
( ~ ( m1_subset_1 @ SY281 @ ( u1_struct_0 @ SV33 ) )
| ( ( k2_group_3 @ SV33 @ SY279 @ SY280 )
!= ( k2_group_3 @ SV33 @ SY281 @ SY280 ) )
| ( SY279 = SY281 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5748]) ).
thf(5836,plain,
! [SV34: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV34 )
| ~ ( v3_group_1 @ SV34 ) )
| ~ ( v4_group_1 @ SV34 ) )
| ~ ( l1_group_1 @ SV34 ) ) )
= $false )
| ( ( ! [SY282: $i] :
( ~ ( m1_subset_1 @ SY282 @ ( u1_struct_0 @ SV34 ) )
| ! [SY283: $i] :
( ~ ( m1_subset_1 @ SY283 @ ( u1_struct_0 @ SV34 ) )
| ~ ( ( ( k1_group_1 @ SV34 @ SY282 @ SY283 )
= ( k2_group_1 @ SV34 ) )
| ( ( k1_group_1 @ SV34 @ SY283 @ SY282 )
= ( k2_group_1 @ SV34 ) ) )
| ~ ( ( SY282
!= ( k3_group_1 @ SV34 @ SY283 ) )
| ( SY283
!= ( k3_group_1 @ SV34 @ SY282 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5749]) ).
thf(5837,plain,
! [SV83: $i,SV35: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV35 )
| ~ ( v3_group_1 @ SV35 ) )
| ~ ( v4_group_1 @ SV35 ) )
| ~ ( l1_group_1 @ SV35 ) )
| ~ ~ ( v3_struct_0 @ SV83 ) )
| ~ ( v3_group_1 @ SV83 ) )
| ~ ( v4_group_1 @ SV83 ) )
| ~ ( l1_group_1 @ SV83 ) ) )
= $true )
| ( ( r1_group_6 @ SV35 @ SV35 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5750]) ).
thf(5838,plain,
! [SV36: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV36 )
| ~ ( v3_group_1 @ SV36 ) )
| ~ ( v4_group_1 @ SV36 ) )
| ~ ( l1_group_1 @ SV36 ) ) )
= $false )
| ( ( ! [SY285: $i] :
( ~ ( m1_subset_1 @ SY285 @ ( u1_struct_0 @ SV36 ) )
| ! [SY286: $i] :
( ~ ( m1_subset_1 @ SY286 @ ( u1_struct_0 @ SV36 ) )
| ! [SY287: $i] :
( ~ ( m1_subset_1 @ SY287 @ ( u1_struct_0 @ SV36 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV36 @ SY285 @ SY286 )
!= SY287 )
| ( SY285
= ( k1_group_1 @ SV36 @ SY287 @ ( k3_group_1 @ SV36 @ SY286 ) ) ) )
| ~ ( ( SY285
!= ( k1_group_1 @ SV36 @ SY287 @ ( k3_group_1 @ SV36 @ SY286 ) ) )
| ( ( k1_group_1 @ SV36 @ SY285 @ SY286 )
= SY287 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5751]) ).
thf(5839,plain,
! [SV37: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV37 )
| ~ ( v3_group_1 @ SV37 ) )
| ~ ( v4_group_1 @ SV37 ) )
| ~ ( l1_group_1 @ SV37 ) ) )
= $false )
| ( ( ! [SY288: $i] :
( ~ ( m1_group_2 @ SY288 @ SV37 )
| ( v4_group_1 @ SY288 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5752]) ).
thf(5840,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( l1_group_1 @ sK5_SX0 )
| ~ ~ ( v3_struct_0 @ sK5_SX0 ) )
| ~ ( v4_group_1 @ sK5_SX0 ) )
| ~ ( v7_group_1 @ sK5_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[5753]) ).
thf(5841,plain,
! [SV38: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV38 )
| ~ ( v3_group_1 @ SV38 ) )
| ~ ( l1_group_1 @ SV38 ) ) )
= $false )
| ( ( ! [SY289: $i] :
( ~ ( m1_group_2 @ SY289 @ SV38 )
| ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY289 )
| ~ ( v3_group_1 @ SY289 ) )
| ~ ( l1_group_1 @ SY289 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5754]) ).
thf(5842,plain,
! [SV39: $i] :
( ( ~ ( m1_subset_1 @ ( sK12_SY290 @ SV39 ) @ SV39 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[5755]) ).
thf(5843,plain,
! [SV40: $i] :
( ( ( l1_group_1 @ SV40 )
= $false )
| ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV40 )
| ~ ( v3_group_1 @ SV40 ) )
| ~ ( ~ ~ ( v3_struct_0 @ SV40 )
| ~ ( v2_group_1 @ SV40 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5756]) ).
thf(5844,plain,
! [SV41: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV41 )
| ~ ( v3_group_1 @ SV41 ) )
| ~ ( v4_group_1 @ SV41 ) )
| ~ ( l1_group_1 @ SV41 ) ) )
= $false )
| ( ( ! [SY291: $i] :
( ~ ( m1_subset_1 @ SY291 @ ( u1_struct_0 @ SV41 ) )
| ! [SY292: $i] :
( ~ ( m1_subset_1 @ SY292 @ ( u1_struct_0 @ SV41 ) )
| ( ( k3_group_1 @ SV41 @ ( k2_group_5 @ SV41 @ SY291 @ SY292 ) )
= ( k2_group_5 @ SV41 @ SY292 @ SY291 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5757]) ).
thf(5845,plain,
! [SV42: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV42 )
| ~ ( v3_group_1 @ SV42 ) )
| ~ ( v4_group_1 @ SV42 ) )
| ~ ( l1_group_1 @ SV42 ) ) )
= $false )
| ( ( ! [SY293: $i] :
( ~ ( m1_subset_1 @ SY293 @ ( u1_struct_0 @ SV42 ) )
| ! [SY294: $i] :
( ~ ( m1_subset_1 @ SY294 @ ( u1_struct_0 @ SV42 ) )
| ( ( k3_group_5 @ SV42 @ SY293 @ SY293 @ SY294 )
= ( k2_group_1 @ SV42 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5758]) ).
thf(5846,plain,
! [SV43: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV43 )
| ~ ( v3_group_1 @ SV43 ) )
| ~ ( l1_group_1 @ SV43 ) ) )
= $false )
| ( ( ! [SY295: $i] :
( ~ ( m1_subset_1 @ SY295 @ ( u1_struct_0 @ SV43 ) )
| ~ ! [SY296: $i] :
( ~ ( m1_subset_1 @ SY296 @ ( u1_struct_0 @ SV43 ) )
| ~ ( ( ( k1_group_1 @ SV43 @ SY296 @ SY295 )
!= SY296 )
| ( ( k1_group_1 @ SV43 @ SY295 @ SY296 )
!= SY296 ) ) )
| ( SY295
= ( k2_group_1 @ SV43 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5759]) ).
thf(5847,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( l1_group_1 @ sK6_SX0 )
| ~ ~ ( v3_struct_0 @ sK6_SX0 ) )
| ~ ( v1_group_1 @ sK6_SX0 ) )
| ~ ( v2_group_1 @ sK6_SX0 ) )
| ~ ( v3_group_1 @ sK6_SX0 ) )
| ~ ( v4_group_1 @ sK6_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[5760]) ).
thf(5848,plain,
! [SV44: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV44 )
| ~ ( l1_group_1 @ SV44 ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( v4_group_1 @ SV44 )
| ! [SY297: $i] :
( ~ ( m1_subset_1 @ SY297 @ ( u1_struct_0 @ SV44 ) )
| ! [SY298: $i] :
( ~ ( m1_subset_1 @ SY298 @ ( u1_struct_0 @ SV44 ) )
| ! [SY299: $i] :
( ~ ( m1_subset_1 @ SY299 @ ( u1_struct_0 @ SV44 ) )
| ( ( k1_group_1 @ SV44 @ ( k1_group_1 @ SV44 @ SY297 @ SY298 ) @ SY299 )
= ( k1_group_1 @ SV44 @ SY297 @ ( k1_group_1 @ SV44 @ SY298 @ SY299 ) ) ) ) ) ) )
| ~ ( ~ ! [SY300: $i] :
( ~ ( m1_subset_1 @ SY300 @ ( u1_struct_0 @ SV44 ) )
| ! [SY301: $i] :
( ~ ( m1_subset_1 @ SY301 @ ( u1_struct_0 @ SV44 ) )
| ! [SY302: $i] :
( ~ ( m1_subset_1 @ SY302 @ ( u1_struct_0 @ SV44 ) )
| ( ( k1_group_1 @ SV44 @ ( k1_group_1 @ SV44 @ SY300 @ SY301 ) @ SY302 )
= ( k1_group_1 @ SV44 @ SY300 @ ( k1_group_1 @ SV44 @ SY301 @ SY302 ) ) ) ) ) )
| ( v4_group_1 @ SV44 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5761]) ).
thf(5849,plain,
! [SV45: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV45 )
| ~ ( v3_group_1 @ SV45 ) )
| ~ ( v4_group_1 @ SV45 ) )
| ~ ( l1_group_1 @ SV45 ) ) )
= $false )
| ( ( ! [SY303: $i] :
( ~ ( m1_subset_1 @ SY303 @ ( u1_struct_0 @ SV45 ) )
| ! [SY304: $i] :
( ~ ( m1_subset_1 @ SY304 @ ( u1_struct_0 @ SV45 ) )
| ( ( k3_group_1 @ SV45 @ ( k1_group_1 @ SV45 @ SY303 @ SY304 ) )
= ( k1_group_1 @ SV45 @ ( k3_group_1 @ SV45 @ SY304 ) @ ( k3_group_1 @ SV45 @ SY303 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5762]) ).
thf(5850,plain,
! [SV46: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV46 )
| ~ ( v1_group_1 @ SV46 ) )
| ~ ( v3_group_1 @ SV46 ) )
| ~ ( v4_group_1 @ SV46 ) )
| ~ ( l1_group_1 @ SV46 ) ) )
= $false )
| ( ( ( k6_autgroup @ SV46 @ ( k2_group_1 @ SV46 ) )
= ( k6_partfun1 @ ( u1_struct_0 @ SV46 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5763]) ).
thf(5851,plain,
( ( ~ ( m1_subset_1 @ sK7_SX0 @ ( u1_struct_0 @ sK1_A ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[5764]) ).
thf(5852,plain,
( ( ( k7_funct_2 @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK1_A ) @ ( u1_struct_0 @ sK1_A ) @ ( k6_autgroup @ sK1_A @ ( k3_group_1 @ sK1_A @ sK7_SX0 ) ) @ ( k6_autgroup @ sK1_A @ sK7_SX0 ) )
= ( k6_autgroup @ sK1_A @ ( k2_group_1 @ sK1_A ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[5764]) ).
thf(5853,plain,
! [SV95: $i,SV84: $i,SV47: $i] :
( ( ! [SY370: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV47 )
| ~ ( v3_group_1 @ SV47 ) )
| ~ ( v4_group_1 @ SV47 ) )
| ~ ( l1_group_1 @ SV47 ) )
| ~ ( m1_subset_1 @ SV84 @ ( u1_struct_0 @ SV47 ) ) )
| ~ ( m1_subset_1 @ SV95 @ ( u1_struct_0 @ SV47 ) ) )
| ~ ( m1_subset_1 @ SY370 @ ( u1_struct_0 @ SV47 ) ) )
| ( m1_subset_1 @ ( k3_group_5 @ SV47 @ SV84 @ SV95 @ SY370 ) @ ( u1_struct_0 @ SV47 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5765]) ).
thf(5854,plain,
! [SV48: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV48 )
| ~ ( v3_group_1 @ SV48 ) )
| ~ ( v4_group_1 @ SV48 ) )
| ~ ( l1_group_1 @ SV48 ) ) )
= $false )
| ( ( ! [SY308: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY308 )
| ~ ( v3_group_1 @ SY308 ) )
| ~ ( v4_group_1 @ SY308 ) )
| ~ ( l1_group_1 @ SY308 ) )
| ! [SY309: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY309 )
| ~ ( v3_group_1 @ SY309 ) )
| ~ ( v4_group_1 @ SY309 ) )
| ~ ( l1_group_1 @ SY309 ) )
| ~ ~ ( ~ ( r1_group_6 @ SV48 @ SY308 )
| ~ ( r1_group_6 @ SY308 @ SY309 ) )
| ( r1_group_6 @ SV48 @ SY309 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5766]) ).
thf(5855,plain,
! [SV85: $i,SV49: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV49 )
| ~ ( v3_group_1 @ SV49 ) )
| ~ ( v4_group_1 @ SV49 ) )
| ~ ( l1_group_1 @ SV49 ) )
| ~ ( m1_subset_1 @ SV85 @ ( u1_struct_0 @ SV49 ) ) ) )
= $true )
| ( ( m1_subset_1 @ ( k3_group_1 @ SV49 @ SV85 ) @ ( u1_struct_0 @ SV49 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5767]) ).
thf(5856,plain,
! [SV50: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV50 )
| ~ ( v3_group_1 @ SV50 ) )
| ~ ( v4_group_1 @ SV50 ) )
| ~ ( l1_group_1 @ SV50 ) ) )
= $false )
| ( ( ( k3_group_1 @ SV50 @ ( k2_group_1 @ SV50 ) )
= ( k2_group_1 @ SV50 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5768]) ).
thf(5857,plain,
! [SV96: $i,SV86: $i,SV51: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV51 )
| ~ ( v3_group_1 @ SV51 ) )
| ~ ( v4_group_1 @ SV51 ) )
| ~ ( l1_group_1 @ SV51 ) )
| ~ ( m1_subset_1 @ SV86 @ ( u1_struct_0 @ SV51 ) ) )
| ~ ( m1_subset_1 @ SV96 @ ( u1_struct_0 @ SV51 ) ) )
| ~ ( r2_group_3 @ SV51 @ SV86 @ SV96 )
| ( r2_group_3 @ SV51 @ SV96 @ SV86 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5769]) ).
thf(5858,plain,
! [SV52: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV52 )
| ~ ( v1_group_1 @ SV52 ) )
| ~ ( v3_group_1 @ SV52 ) )
| ~ ( v4_group_1 @ SV52 ) )
| ~ ( l1_group_1 @ SV52 ) ) )
= $false )
| ( ( ! [SY313: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY313 )
| ~ ( v1_group_1 @ SY313 ) )
| ~ ( v3_group_1 @ SY313 ) )
| ~ ( v4_group_1 @ SY313 ) )
| ~ ( l1_group_1 @ SY313 ) )
| ~ ( r1_group_6 @ SV52 @ SY313 )
| ( r1_group_6 @ SY313 @ SV52 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5770]) ).
thf(5859,plain,
! [SV53: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV53 )
| ~ ( v3_group_1 @ SV53 ) )
| ~ ( v4_group_1 @ SV53 ) )
| ~ ( l1_group_1 @ SV53 ) ) )
= $false )
| ( ( ! [SY314: $i] :
( ~ ( m1_group_2 @ SY314 @ SV53 )
| ( ( k2_group_1 @ SY314 )
= ( k2_group_1 @ SV53 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5771]) ).
thf(5860,plain,
! [SV54: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV54 )
| ~ ( v3_group_1 @ SV54 ) )
| ~ ( v4_group_1 @ SV54 ) )
| ~ ( l1_group_1 @ SV54 ) ) )
= $false )
| ( ( ! [SY315: $i] :
( ~ ( m1_subset_1 @ SY315 @ ( u1_struct_0 @ SV54 ) )
| ! [SY316: $i] :
( ~ ( m1_subset_1 @ SY316 @ ( u1_struct_0 @ SV54 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV54 @ SY315 @ SY316 )
!= ( k1_group_1 @ SV54 @ SY316 @ SY315 ) )
| ( ( k1_group_1 @ SV54 @ SY315 @ ( k3_group_1 @ SV54 @ SY316 ) )
= ( k1_group_1 @ SV54 @ ( k3_group_1 @ SV54 @ SY316 ) @ SY315 ) ) )
| ~ ( ( ( k1_group_1 @ SV54 @ SY315 @ ( k3_group_1 @ SV54 @ SY316 ) )
!= ( k1_group_1 @ SV54 @ ( k3_group_1 @ SV54 @ SY316 ) @ SY315 ) )
| ( ( k1_group_1 @ SV54 @ SY315 @ SY316 )
= ( k1_group_1 @ SV54 @ SY316 @ SY315 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5772]) ).
thf(5861,plain,
! [SV55: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV55 )
| ~ ( v3_group_1 @ SV55 ) )
| ~ ( v4_group_1 @ SV55 ) )
| ~ ( l1_group_1 @ SV55 ) ) )
= $false )
| ( ( ! [SY317: $i] :
( ~ ( m1_subset_1 @ SY317 @ ( u1_struct_0 @ SV55 ) )
| ! [SY318: $i] :
( ~ ( m1_group_2 @ SY318 @ SV55 )
| ! [SY319: $i] :
( ~ ( m1_subset_1 @ SY319 @ ( u1_struct_0 @ SY318 ) )
| ( SY319 != SY317 )
| ( ( k3_group_1 @ SY318 @ SY319 )
= ( k3_group_1 @ SV55 @ SY317 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5773]) ).
thf(5862,plain,
! [SV56: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV56 )
| ~ ( v3_group_1 @ SV56 ) )
| ~ ( v4_group_1 @ SV56 ) )
| ~ ( l1_group_1 @ SV56 ) ) )
= $false )
| ( ( ! [SY320: $i] :
( ~ ( m1_subset_1 @ SY320 @ ( u1_struct_0 @ SV56 ) )
| ! [SY321: $i] :
( ~ ( m1_subset_1 @ SY321 @ ( u1_struct_0 @ SV56 ) )
| ~ ~ ( ( ( k1_group_1 @ SV56 @ SY320 @ SY321 )
!= ( k2_group_1 @ SV56 ) )
| ( ( k1_group_1 @ SV56 @ SY321 @ SY320 )
!= ( k2_group_1 @ SV56 ) ) )
| ( SY321
= ( k3_group_1 @ SV56 @ SY320 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5774]) ).
thf(5863,plain,
! [SV57: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV57 )
| ~ ( v3_group_1 @ SV57 ) )
| ~ ( v4_group_1 @ SV57 ) )
| ~ ( l1_group_1 @ SV57 ) ) )
= $false )
| ( ( ! [SY322: $i] :
( ~ ( m1_subset_1 @ SY322 @ ( u1_struct_0 @ SV57 ) )
| ( ( k2_group_3 @ SV57 @ SY322 @ SY322 )
= SY322 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5775]) ).
thf(5864,plain,
! [SV58: $i] :
( ( ( ~ $true ) = $false )
| ( ( ! [SY323: $i] :
( ~ ( m1_subset_1 @ SY323 @ SV58 )
| ( SY323
= ( k8_subset_1 @ SV58 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5776]) ).
thf(5865,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV59 )
| ~ ( v3_group_1 @ SV59 ) )
| ~ ( v4_group_1 @ SV59 ) )
| ~ ( l1_group_1 @ SV59 ) ) )
= $false )
| ( ( ! [SY324: $i] :
( ~ ( m1_subset_1 @ SY324 @ ( u1_struct_0 @ SV59 ) )
| ! [SY325: $i] :
( ~ ( m1_subset_1 @ SY325 @ ( u1_struct_0 @ SV59 ) )
| ~ ! [SY326: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY326 @ ( u1_struct_0 @ SV59 ) )
| ( ( k1_group_1 @ SV59 @ SY324 @ SY326 )
!= SY325 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5777]) ).
thf(5866,plain,
! [SV60: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV60 )
| ~ ( v3_group_1 @ SV60 ) )
| ~ ( v4_group_1 @ SV60 ) )
| ~ ( l1_group_1 @ SV60 ) ) )
= $false )
| ( ( ! [SY327: $i] :
( ~ ( m1_subset_1 @ SY327 @ ( u1_struct_0 @ SV60 ) )
| ! [SY328: $i] :
( ~ ( m1_subset_1 @ SY328 @ ( u1_struct_0 @ SV60 ) )
| ~ ( ~ ( ( SY328
!= ( k3_group_1 @ SV60 @ SY327 ) )
| ~ ( ( ( k1_group_1 @ SV60 @ SY327 @ SY328 )
!= ( k2_group_1 @ SV60 ) )
| ( ( k1_group_1 @ SV60 @ SY328 @ SY327 )
!= ( k2_group_1 @ SV60 ) ) ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV60 @ SY327 @ SY328 )
!= ( k2_group_1 @ SV60 ) )
| ( ( k1_group_1 @ SV60 @ SY328 @ SY327 )
!= ( k2_group_1 @ SV60 ) ) )
| ( SY328
= ( k3_group_1 @ SV60 @ SY327 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5778]) ).
thf(5867,plain,
! [SV87: $i,SV61: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV61 )
| ~ ( v1_group_1 @ SV61 ) )
| ~ ( v3_group_1 @ SV61 ) )
| ~ ( v4_group_1 @ SV61 ) )
| ~ ( l1_group_1 @ SV61 ) )
| ~ ~ ( v3_struct_0 @ SV87 ) )
| ~ ( v1_group_1 @ SV87 ) )
| ~ ( v3_group_1 @ SV87 ) )
| ~ ( v4_group_1 @ SV87 ) )
| ~ ( l1_group_1 @ SV87 ) ) )
= $true )
| ( ( ~ ( r2_group_6 @ SV61 @ SV87 )
| ( r2_group_6 @ SV87 @ SV61 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5779]) ).
thf(5868,plain,
! [SV62: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV62 )
| ~ ( v1_group_1 @ SV62 ) )
| ~ ( v3_group_1 @ SV62 ) )
| ~ ( v4_group_1 @ SV62 ) )
| ~ ( l1_group_1 @ SV62 ) ) )
= $false )
| ( ( ! [SY330: $i] :
( ~ ( m1_subset_1 @ SY330 @ ( u1_struct_0 @ SV62 ) )
| ( ( k8_funct_2 @ ( u1_struct_0 @ SV62 ) @ ( u1_struct_0 @ SV62 ) @ ( k6_autgroup @ SV62 @ ( k2_group_1 @ SV62 ) ) @ SY330 )
= SY330 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5780]) ).
thf(5869,plain,
( ( ~ ( ~ ( l1_funcsdom @ sK8_SX0 )
| ~ ~ ( v3_struct_0 @ sK8_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[5781]) ).
thf(5870,plain,
( ( ~ ( ~ ( l1_group_1 @ sK9_SX0 )
| ~ ( v1_group_1 @ sK9_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[5782]) ).
thf(5871,plain,
! [SV97: $i,SV88: $i,SV63: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV63 )
| ~ ( l1_group_1 @ SV63 ) )
| ~ ( m1_subset_1 @ SV88 @ ( u1_struct_0 @ SV63 ) ) )
| ~ ( m1_subset_1 @ SV97 @ ( u1_struct_0 @ SV63 ) ) )
| ( m1_subset_1 @ ( k1_group_1 @ SV63 @ SV88 @ SV97 ) @ ( u1_struct_0 @ SV63 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5783]) ).
thf(5872,plain,
! [SV64: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV64 )
| ~ ( v3_group_1 @ SV64 ) )
| ~ ( v4_group_1 @ SV64 ) )
| ~ ( l1_group_1 @ SV64 ) ) )
= $false )
| ( ( ! [SY333: $i] :
( ~ ( m1_subset_1 @ SY333 @ ( u1_struct_0 @ SV64 ) )
| ( ( k2_group_5 @ SV64 @ SY333 @ SY333 )
= ( k2_group_1 @ SV64 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5784]) ).
thf(5873,plain,
! [SV89: $i,SV65: $i] :
( ( ( ~ ( r2_hidden @ SV65 @ SV89 ) )
= $true )
| ( ( m1_subset_1 @ SV65 @ SV89 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5785]) ).
thf(5874,plain,
! [SV66: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV66 )
| ~ ( v3_group_1 @ SV66 ) )
| ~ ( v4_group_1 @ SV66 ) )
| ~ ( l1_group_1 @ SV66 ) ) )
= $false )
| ( ( ! [SY335: $i] :
( ~ ( m1_subset_1 @ SY335 @ ( u1_struct_0 @ SV66 ) )
| ! [SY336: $i] :
( ~ ( m1_subset_1 @ SY336 @ ( u1_struct_0 @ SV66 ) )
| ~ ( r1_group_3 @ SV66 @ SY335 @ SY336 )
| ( r1_group_3 @ SV66 @ SY336 @ SY335 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5786]) ).
thf(5875,plain,
! [SV67: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV67 )
| ~ ( v3_group_1 @ SV67 ) )
| ~ ( v4_group_1 @ SV67 ) )
| ~ ( l1_group_1 @ SV67 ) ) )
= $false )
| ( ( ! [SY337: $i] :
( ~ ( m1_subset_1 @ SY337 @ ( u1_struct_0 @ SV67 ) )
| ( ( k3_group_1 @ SV67 @ ( k3_group_1 @ SV67 @ SY337 ) )
= SY337 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5787]) ).
thf(5876,plain,
! [SV68: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV68 )
| ~ ( v3_group_1 @ SV68 ) )
| ~ ( v4_group_1 @ SV68 ) )
| ~ ( l1_group_1 @ SV68 ) ) )
= $false )
| ( ( ! [SY338: $i] :
( ~ ( m1_subset_1 @ SY338 @ ( u1_struct_0 @ SV68 ) )
| ( ( k2_group_3 @ SV68 @ SY338 @ ( k2_group_1 @ SV68 ) )
= SY338 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5788]) ).
thf(5877,plain,
! [SV69: $i,SV90: $i] :
( ( ( ~ ( m1_subset_1 @ SV90 @ SV69 ) )
= $true )
| ( ( ! [SY368: $i,SY369: $i] :
( ( ( g2_struct_0 @ SV69 @ SV90 )
!= ( g2_struct_0 @ SY368 @ SY369 ) )
| ~ ( ( SV69 != SY368 )
| ( SV90 != SY369 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5789]) ).
thf(5878,plain,
! [SV70: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( l1_group_1 @ SV70 ) ) )
= $false )
| ( ( ~ ! [SY342: $i] :
( ~ ( m1_subset_1 @ SY342 @ ( u1_struct_0 @ SV70 ) )
| ! [SY343: $i] :
( ~ ( m1_subset_1 @ SY343 @ ( u1_struct_0 @ SV70 ) )
| ! [SY344: $i] :
( ~ ( m1_subset_1 @ SY344 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ SY342 @ SY343 ) @ SY344 )
= ( k1_group_1 @ SV70 @ SY342 @ ( k1_group_1 @ SV70 @ SY343 @ SY344 ) ) ) ) ) )
| ! [SY345: $i] :
( ~ ( m1_subset_1 @ SY345 @ ( u1_struct_0 @ SV70 ) )
| ~ ! [SY346: $i] :
( ~ ( m1_subset_1 @ SY346 @ ( u1_struct_0 @ SV70 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV70 @ SY346 @ SY345 )
!= SY346 )
| ( ( k1_group_1 @ SV70 @ SY345 @ SY346 )
!= SY346 ) )
| ~ ~ ! [SY347: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY347 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ SY346 @ SY347 )
!= SY345 ) )
| ( ( k1_group_1 @ SV70 @ SY347 @ SY346 )
!= SY345 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5790]) ).
thf(5879,plain,
! [SV71: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV71 )
| ~ ( v3_group_1 @ SV71 ) )
| ~ ( v4_group_1 @ SV71 ) )
| ~ ( l1_group_1 @ SV71 ) ) )
= $false )
| ( ( ! [SY348: $i] :
( ~ ( m1_subset_1 @ SY348 @ ( u1_struct_0 @ SV71 ) )
| ! [SY349: $i] :
( ~ ( m1_subset_1 @ SY349 @ ( u1_struct_0 @ SV71 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SY348 @ SY349 ) @ ( k3_group_1 @ SV71 @ SY349 ) )
!= SY348 )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SY348 @ ( k3_group_1 @ SV71 @ SY349 ) ) @ SY349 )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY349 ) @ SY349 ) @ SY348 )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SY349 @ ( k3_group_1 @ SV71 @ SY349 ) ) @ SY348 )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ SY348 @ ( k1_group_1 @ SV71 @ SY349 @ ( k3_group_1 @ SV71 @ SY349 ) ) )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ SY348 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY349 ) @ SY349 ) )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY349 ) @ ( k1_group_1 @ SV71 @ SY349 @ SY348 ) )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ SY349 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY349 ) @ SY348 ) )
!= SY348 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5791]) ).
thf(5880,plain,
! [SV91: $i,SV72: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV72 )
| ~ ( v1_group_1 @ SV72 ) )
| ~ ( v3_group_1 @ SV72 ) )
| ~ ( v4_group_1 @ SV72 ) )
| ~ ( l1_group_1 @ SV72 ) )
| ~ ~ ( v3_struct_0 @ SV91 ) )
| ~ ( v1_group_1 @ SV91 ) )
| ~ ( v3_group_1 @ SV91 ) )
| ~ ( v4_group_1 @ SV91 ) )
| ~ ( l1_group_1 @ SV91 ) ) )
= $true )
| ( ( r2_group_6 @ SV72 @ SV72 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5792]) ).
thf(5881,plain,
! [SV73: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV73 )
| ~ ( v3_group_1 @ SV73 ) )
| ~ ( v4_group_1 @ SV73 ) )
| ~ ( l1_group_1 @ SV73 ) ) )
= $false )
| ( ( ! [SY351: $i] :
( ~ ( m1_subset_1 @ SY351 @ ( u1_struct_0 @ SV73 ) )
| ~ ( ( ( k2_group_3 @ SV73 @ SY351 @ ( k3_group_1 @ SV73 @ SY351 ) )
!= SY351 )
| ( ( k2_group_3 @ SV73 @ ( k3_group_1 @ SV73 @ SY351 ) @ SY351 )
!= ( k3_group_1 @ SV73 @ SY351 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5793]) ).
thf(5882,plain,
! [SV74: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV74 )
| ~ ( v3_group_1 @ SV74 ) )
| ~ ( v4_group_1 @ SV74 ) )
| ~ ( l1_group_1 @ SV74 ) ) )
= $false )
| ( ( ! [SY352: $i] :
( ~ ( m1_subset_1 @ SY352 @ ( u1_struct_0 @ SV74 ) )
| ! [SY353: $i] :
( ~ ( m1_subset_1 @ SY353 @ ( u1_struct_0 @ SV74 ) )
| ! [SY354: $i] :
( ~ ( m1_subset_1 @ SY354 @ ( u1_struct_0 @ SV74 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV74 @ SY352 @ SY353 )
!= SY354 )
| ( SY353
= ( k1_group_1 @ SV74 @ ( k3_group_1 @ SV74 @ SY352 ) @ SY354 ) ) )
| ~ ( ( SY353
!= ( k1_group_1 @ SV74 @ ( k3_group_1 @ SV74 @ SY352 ) @ SY354 ) )
| ( ( k1_group_1 @ SV74 @ SY352 @ SY353 )
= SY354 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5794]) ).
thf(5883,plain,
! [SV75: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV75 )
| ~ ( v3_group_1 @ SV75 ) )
| ~ ( v4_group_1 @ SV75 ) )
| ~ ( l1_group_1 @ SV75 ) ) )
= $false )
| ( ( ! [SY355: $i] :
( ~ ( m1_subset_1 @ SY355 @ ( u1_struct_0 @ SV75 ) )
| ( ( k3_group_1 @ SV75 @ SY355 )
!= ( k2_group_1 @ SV75 ) )
| ( SY355
= ( k2_group_1 @ SV75 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5795]) ).
thf(5884,plain,
( ( ~ ( ~ ~ ( ~ ( l1_group_1 @ sK10_SX0 )
| ~ ~ ( v3_struct_0 @ sK10_SX0 ) )
| ~ ( v1_group_1 @ sK10_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[5796]) ).
thf(5885,plain,
! [SV76: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV76 )
| ~ ( v3_group_1 @ SV76 ) )
| ~ ( v4_group_1 @ SV76 ) )
| ~ ( l1_group_1 @ SV76 ) ) )
= $false )
| ( ( ~ ( v5_group_1 @ ( k2_group_1 @ SV76 ) @ SV76 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5797]) ).
thf(5886,plain,
! [SV77: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV77 )
| ~ ( v3_group_1 @ SV77 ) )
| ~ ( v4_group_1 @ SV77 ) )
| ~ ( l1_group_1 @ SV77 ) ) )
= $false )
| ( ( ! [SY356: $i] :
( ~ ( m1_subset_1 @ SY356 @ ( u1_struct_0 @ SV77 ) )
| ! [SY357: $i] :
( ~ ( m1_subset_1 @ SY357 @ ( u1_struct_0 @ SV77 ) )
| ~ ! [SY358: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY358 @ ( u1_struct_0 @ SV77 ) )
| ( ( k1_group_1 @ SV77 @ SY358 @ SY356 )
!= SY357 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5798]) ).
thf(5887,plain,
! [SV78: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV78 )
| ~ ( v3_group_1 @ SV78 ) )
| ~ ( l1_group_1 @ SV78 ) ) )
= $false )
| ( ( ~ ! [SY359: $i] :
~ ( m1_group_2 @ SY359 @ SV78 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5799]) ).
thf(5888,plain,
( ( ~ ( ~ ( l2_rlvect_1 @ sK11_SX0 )
| ~ ~ ( v3_struct_0 @ sK11_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[5800]) ).
thf(5889,plain,
( ( ~ ( l1_struct_0 @ sK2_SX0 )
| ~ ~ ( v3_struct_0 @ sK2_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[5801]) ).
thf(5890,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV2 )
| ~ ( v1_group_1 @ SV2 ) )
| ~ ( v3_group_1 @ SV2 ) )
| ~ ( v4_group_1 @ SV2 ) )
| ~ ( l1_group_1 @ SV2 ) )
= $true )
| ( ( ! [SY222: $i] :
( ~ ( m1_subset_1 @ SY222 @ ( u1_struct_0 @ SV2 ) )
| ! [SY223: $i] :
( ~ ( m1_subset_1 @ SY223 @ ( u1_struct_0 @ SV2 ) )
| ( ( k6_autgroup @ SV2 @ ( k1_group_1 @ SV2 @ SY222 @ SY223 ) )
= ( k7_funct_2 @ ( u1_struct_0 @ SV2 ) @ ( u1_struct_0 @ SV2 ) @ ( u1_struct_0 @ SV2 ) @ ( k6_autgroup @ SV2 @ SY222 ) @ ( k6_autgroup @ SV2 @ SY223 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5802]) ).
thf(5891,plain,
! [SV3: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV3 )
| ~ ( v3_group_1 @ SV3 ) )
| ~ ( v4_group_1 @ SV3 ) )
| ~ ( l1_group_1 @ SV3 ) )
= $true )
| ( ( ! [SY224: $i] :
( ~ ( m1_subset_1 @ SY224 @ ( u1_struct_0 @ SV3 ) )
| ! [SY225: $i] :
( ~ ( m1_subset_1 @ SY225 @ ( u1_struct_0 @ SV3 ) )
| ~ ( ( ( k1_group_1 @ SV3 @ SY224 @ SY225 )
= SY224 )
| ( ( k1_group_1 @ SV3 @ SY225 @ SY224 )
= SY224 ) )
| ( SY225
= ( k2_group_1 @ SV3 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5803]) ).
thf(5892,plain,
! [SV4: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV4 )
| ~ ( v3_group_1 @ SV4 ) )
| ~ ( v4_group_1 @ SV4 ) )
| ~ ( l1_group_1 @ SV4 ) )
= $true )
| ( ( ! [SY226: $i] :
( ~ ( m1_group_2 @ SY226 @ SV4 )
| ! [SY227: $i] :
( ~ ( m1_group_2 @ SY227 @ SV4 )
| ( ( k2_group_1 @ SY226 )
= ( k2_group_1 @ SY227 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5804]) ).
thf(5893,plain,
! [SV5: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV5 )
| ~ ( v3_group_1 @ SV5 ) )
| ~ ( v4_group_1 @ SV5 ) )
| ~ ( l1_group_1 @ SV5 ) )
= $true )
| ( ( ! [SY228: $i] :
( ~ ( m1_subset_1 @ SY228 @ ( u1_struct_0 @ SV5 ) )
| ! [SY229: $i] :
( ~ ( m1_subset_1 @ SY229 @ ( u1_struct_0 @ SV5 ) )
| ~ ( ( ( k2_group_3 @ SV5 @ ( k2_group_3 @ SV5 @ SY228 @ SY229 ) @ ( k3_group_1 @ SV5 @ SY229 ) )
!= SY228 )
| ( ( k2_group_3 @ SV5 @ ( k2_group_3 @ SV5 @ SY228 @ ( k3_group_1 @ SV5 @ SY229 ) ) @ SY229 )
!= SY228 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5805]) ).
thf(5894,plain,
! [SV6: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV6 )
| ~ ( v3_group_1 @ SV6 ) )
| ~ ( v4_group_1 @ SV6 ) )
| ~ ( l1_group_1 @ SV6 ) )
= $true )
| ( ( ! [SY230: $i] :
( ~ ( m1_subset_1 @ SY230 @ ( u1_struct_0 @ SV6 ) )
| ( ( k2_group_3 @ SV6 @ ( k2_group_1 @ SV6 ) @ SY230 )
= ( k2_group_1 @ SV6 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5806]) ).
thf(5895,plain,
! [SV7: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV7 )
| ~ ( v3_group_1 @ SV7 ) )
| ~ ( v4_group_1 @ SV7 ) )
| ~ ( l1_group_1 @ SV7 ) )
= $true )
| ( ( ! [SY231: $i] :
( ~ ( m1_subset_1 @ SY231 @ ( u1_struct_0 @ SV7 ) )
| ~ ( ( r2_group_3 @ SV7 @ SY231 @ ( k2_group_1 @ SV7 ) )
| ( r2_group_3 @ SV7 @ ( k2_group_1 @ SV7 ) @ SY231 ) )
| ( SY231
= ( k2_group_1 @ SV7 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5807]) ).
thf(5896,plain,
! [SV8: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV8 )
| ~ ( v3_group_1 @ SV8 ) )
| ~ ( v4_group_1 @ SV8 ) )
| ~ ( l1_group_1 @ SV8 ) )
= $true )
| ( ( ! [SY232: $i] :
( ~ ( m1_subset_1 @ SY232 @ ( u1_struct_0 @ SV8 ) )
| ! [SY233: $i] :
( ~ ( m1_subset_1 @ SY233 @ ( u1_struct_0 @ SV8 ) )
| ! [SY234: $i] :
( ~ ( m1_subset_1 @ SY234 @ ( u1_struct_0 @ SV8 ) )
| ~ ( ( ( k1_group_1 @ SV8 @ SY232 @ SY233 )
= ( k1_group_1 @ SV8 @ SY232 @ SY234 ) )
| ( ( k1_group_1 @ SV8 @ SY233 @ SY232 )
= ( k1_group_1 @ SV8 @ SY234 @ SY232 ) ) )
| ( SY233 = SY234 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5808]) ).
thf(5897,plain,
! [SV9: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV9 )
| ~ ( l1_group_1 @ SV9 ) )
= $true )
| ( ( m1_subset_1 @ ( k2_group_1 @ SV9 ) @ ( u1_struct_0 @ SV9 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5809]) ).
thf(5898,plain,
! [SV10: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV10 )
| ~ ( v3_group_1 @ SV10 ) )
| ~ ( v4_group_1 @ SV10 ) )
| ~ ( l1_group_1 @ SV10 ) )
= $true )
| ( ( ! [SY235: $i] :
( ~ ( m1_subset_1 @ SY235 @ ( u1_struct_0 @ SV10 ) )
| ! [SY236: $i] :
( ~ ( m1_subset_1 @ SY236 @ ( u1_struct_0 @ SV10 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV10 @ SY235 @ SY236 )
!= ( k1_group_1 @ SV10 @ SY236 @ SY235 ) )
| ( ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY235 ) @ ( k3_group_1 @ SV10 @ SY236 ) )
= ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY236 ) @ ( k3_group_1 @ SV10 @ SY235 ) ) ) )
| ~ ( ( ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY235 ) @ ( k3_group_1 @ SV10 @ SY236 ) )
!= ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY236 ) @ ( k3_group_1 @ SV10 @ SY235 ) ) )
| ( ( k1_group_1 @ SV10 @ SY235 @ SY236 )
= ( k1_group_1 @ SV10 @ SY236 @ SY235 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5810]) ).
thf(5899,plain,
! [SV11: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV11 )
| ~ ( v1_group_1 @ SV11 ) )
| ~ ( v3_group_1 @ SV11 ) )
| ~ ( v4_group_1 @ SV11 ) )
| ~ ( l1_group_1 @ SV11 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k3_autgroup @ SV11 ) )
| ~ ( v1_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( v3_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( v4_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( l1_group_1 @ ( k3_autgroup @ SV11 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5811]) ).
thf(5900,plain,
! [SV12: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV12 )
| ~ ( v3_group_1 @ SV12 ) )
| ~ ( l1_group_1 @ SV12 ) )
= $true )
| ( ( ! [SY237: $i] :
( ~ ( m1_group_2 @ SY237 @ SV12 )
| ! [SY238: $i] :
( ~ ( m1_subset_1 @ SY238 @ ( u1_struct_0 @ SY237 ) )
| ( m1_subset_1 @ SY238 @ ( u1_struct_0 @ SV12 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5812]) ).
thf(5901,plain,
! [SV13: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV13 )
| ~ ( v3_group_1 @ SV13 ) )
| ~ ( v4_group_1 @ SV13 ) )
| ~ ( l1_group_1 @ SV13 ) )
= $true )
| ( ( ! [SY239: $i] :
( ~ ( m1_subset_1 @ SY239 @ ( u1_struct_0 @ SV13 ) )
| ! [SY240: $i] :
( ~ ( m1_subset_1 @ SY240 @ ( u1_struct_0 @ SV13 ) )
| ~ ( ~ ~ ( ( ( k3_group_5 @ SV13 @ SY239 @ SY240 @ ( k2_group_1 @ SV13 ) )
!= ( k2_group_1 @ SV13 ) )
| ( ( k3_group_5 @ SV13 @ SY239 @ ( k2_group_1 @ SV13 ) @ SY240 )
!= ( k2_group_1 @ SV13 ) ) )
| ( ( k3_group_5 @ SV13 @ ( k2_group_1 @ SV13 ) @ SY239 @ SY240 )
!= ( k2_group_1 @ SV13 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5813]) ).
thf(5902,plain,
! [SV15: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV15 )
| ~ ( v3_group_1 @ SV15 ) )
| ~ ( v4_group_1 @ SV15 ) )
| ~ ( l1_group_1 @ SV15 ) )
= $true )
| ( ( ! [SY241: $i] :
( ~ ( m1_subset_1 @ SY241 @ ( u1_struct_0 @ SV15 ) )
| ! [SY242: $i] :
( ~ ( m1_subset_1 @ SY242 @ ( u1_struct_0 @ SV15 ) )
| ( ( k2_group_3 @ SV15 @ ( k3_group_1 @ SV15 @ SY241 ) @ SY242 )
= ( k3_group_1 @ SV15 @ ( k2_group_3 @ SV15 @ SY241 @ SY242 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5815]) ).
thf(5903,plain,
! [SV16: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV16 )
| ~ ( l1_group_1 @ SV16 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( v3_group_1 @ SV16 )
| ~ ! [SY243: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY243 @ ( u1_struct_0 @ SV16 ) )
| ~ ! [SY244: $i] :
( ~ ( m1_subset_1 @ SY244 @ ( u1_struct_0 @ SV16 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV16 @ SY244 @ SY243 )
!= SY244 )
| ( ( k1_group_1 @ SV16 @ SY243 @ SY244 )
!= SY244 ) )
| ~ ~ ! [SY245: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY245 @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ SY244 @ SY245 )
!= SY243 ) )
| ( ( k1_group_1 @ SV16 @ SY245 @ SY244 )
!= SY243 ) ) ) ) ) )
| ~ ( ~ ~ ! [SY246: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY246 @ ( u1_struct_0 @ SV16 ) )
| ~ ! [SY247: $i] :
( ~ ( m1_subset_1 @ SY247 @ ( u1_struct_0 @ SV16 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV16 @ SY247 @ SY246 )
!= SY247 )
| ( ( k1_group_1 @ SV16 @ SY246 @ SY247 )
!= SY247 ) )
| ~ ~ ! [SY248: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY248 @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ SY247 @ SY248 )
!= SY246 ) )
| ( ( k1_group_1 @ SV16 @ SY248 @ SY247 )
!= SY246 ) ) ) ) )
| ( v3_group_1 @ SV16 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5816]) ).
thf(5904,plain,
! [SV17: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV17 )
| ~ ( v3_group_1 @ SV17 ) )
| ~ ( v4_group_1 @ SV17 ) )
| ~ ( l1_group_1 @ SV17 ) )
= $true )
| ( ( ! [SY249: $i] :
( ~ ( m1_subset_1 @ SY249 @ ( u1_struct_0 @ SV17 ) )
| ! [SY250: $i] :
( ~ ( m1_subset_1 @ SY250 @ ( u1_struct_0 @ SV17 ) )
| ( ( k2_group_3 @ SV17 @ SY249 @ SY250 )
!= ( k2_group_1 @ SV17 ) )
| ( SY249
= ( k2_group_1 @ SV17 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5817]) ).
thf(5905,plain,
! [SV18: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV18 )
| ~ ( v3_group_1 @ SV18 ) )
| ~ ( v4_group_1 @ SV18 ) )
| ~ ( l1_group_1 @ SV18 ) )
= $true )
| ( ( ! [SY251: $i] :
( ~ ( m1_subset_1 @ SY251 @ ( u1_struct_0 @ SV18 ) )
| ( r1_group_3 @ SV18 @ SY251 @ SY251 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5818]) ).
thf(5906,plain,
! [SV92: $i,SV79: $i,SV19: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV19 )
| ~ ( v3_group_1 @ SV19 ) )
| ~ ( v4_group_1 @ SV19 ) )
| ~ ( l1_group_1 @ SV19 ) )
| ~ ( m1_subset_1 @ SV79 @ ( u1_struct_0 @ SV19 ) ) )
| ~ ( m1_subset_1 @ SV92 @ ( u1_struct_0 @ SV19 ) ) ) )
= $true )
| ( ( m1_subset_1 @ ( k2_group_3 @ SV19 @ SV79 @ SV92 ) @ ( u1_struct_0 @ SV19 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5819]) ).
thf(5907,plain,
! [SV21: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV21 )
| ~ ( v3_group_1 @ SV21 ) )
| ~ ( v4_group_1 @ SV21 ) )
| ~ ( l1_group_1 @ SV21 ) )
= $true )
| ( ( ! [SY254: $i] :
( ~ ( m1_subset_1 @ SY254 @ ( u1_struct_0 @ SV21 ) )
| ! [SY255: $i] :
( ~ ( m1_subset_1 @ SY255 @ ( u1_struct_0 @ SV21 ) )
| ! [SY256: $i] :
( ~ ( m1_subset_1 @ SY256 @ ( u1_struct_0 @ SV21 ) )
| ~ ~ ( ~ ( r2_group_3 @ SV21 @ SY254 @ SY255 )
| ~ ( r2_group_3 @ SV21 @ SY255 @ SY256 ) )
| ( r2_group_3 @ SV21 @ SY254 @ SY256 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5821]) ).
thf(5908,plain,
! [SV22: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV22 )
| ~ ( v1_group_1 @ SV22 ) )
| ~ ( v3_group_1 @ SV22 ) )
| ~ ( v4_group_1 @ SV22 ) )
| ~ ( l1_group_1 @ SV22 ) )
= $true )
| ( ( ! [SY257: $i] :
( ~ ~ ( ~ ( v1_group_1 @ SY257 )
| ~ ( m1_group_2 @ SY257 @ SV22 ) )
| ( ( u1_struct_0 @ SY257 )
!= ( u1_struct_0 @ SV22 ) )
| ( SY257 = SV22 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5822]) ).
thf(5909,plain,
! [SV23: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV23 )
| ~ ( v3_group_1 @ SV23 ) )
| ~ ( v4_group_1 @ SV23 ) )
| ~ ( l1_group_1 @ SV23 ) )
= $true )
| ( ( ! [SY258: $i] :
( ~ ( m1_subset_1 @ SY258 @ ( u1_struct_0 @ SV23 ) )
| ! [SY259: $i] :
( ~ ( m1_subset_1 @ SY259 @ ( u1_struct_0 @ SV23 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV23 @ SY258 @ SY259 )
!= ( k1_group_1 @ SV23 @ SY259 @ SY258 ) )
| ( ( k3_group_1 @ SV23 @ ( k1_group_1 @ SV23 @ SY258 @ SY259 ) )
= ( k1_group_1 @ SV23 @ ( k3_group_1 @ SV23 @ SY258 ) @ ( k3_group_1 @ SV23 @ SY259 ) ) ) )
| ~ ( ( ( k3_group_1 @ SV23 @ ( k1_group_1 @ SV23 @ SY258 @ SY259 ) )
!= ( k1_group_1 @ SV23 @ ( k3_group_1 @ SV23 @ SY258 ) @ ( k3_group_1 @ SV23 @ SY259 ) ) )
| ( ( k1_group_1 @ SV23 @ SY258 @ SY259 )
= ( k1_group_1 @ SV23 @ SY259 @ SY258 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5823]) ).
thf(5910,plain,
! [SV24: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV24 )
| ~ ( v3_group_1 @ SV24 ) )
| ~ ( v4_group_1 @ SV24 ) )
| ~ ( l1_group_1 @ SV24 ) )
= $true )
| ( ( ! [SY260: $i] :
( ~ ( m1_subset_1 @ SY260 @ ( u1_struct_0 @ SV24 ) )
| ~ ( ( ( k2_group_5 @ SV24 @ ( k2_group_1 @ SV24 ) @ SY260 )
!= ( k2_group_1 @ SV24 ) )
| ( ( k2_group_5 @ SV24 @ SY260 @ ( k2_group_1 @ SV24 ) )
!= ( k2_group_1 @ SV24 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5824]) ).
thf(5911,plain,
! [SV25: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV25 )
| ~ ( v3_group_1 @ SV25 ) )
| ~ ( v4_group_1 @ SV25 ) )
| ~ ( l1_group_1 @ SV25 ) )
= $true )
| ( ( m1_group_2 @ SV25 @ SV25 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5825]) ).
thf(5912,plain,
! [SV26: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV26 )
| ~ ( v3_group_1 @ SV26 ) )
| ~ ( v4_group_1 @ SV26 ) )
| ~ ( l1_group_1 @ SV26 ) )
= $true )
| ( ( ! [SY261: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY261 )
| ~ ( v3_group_1 @ SY261 ) )
| ~ ( v4_group_1 @ SY261 ) )
| ~ ( l1_group_1 @ SY261 ) )
| ! [SY262: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY262 )
| ~ ( v3_group_1 @ SY262 ) )
| ~ ( v4_group_1 @ SY262 ) )
| ~ ( l1_group_1 @ SY262 ) )
| ~ ~ ( ~ ( m1_group_2 @ SV26 @ SY261 )
| ~ ( m1_group_2 @ SY261 @ SY262 ) )
| ( m1_group_2 @ SV26 @ SY262 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5826]) ).
thf(5913,plain,
! [SV27: $i,SV80: $i] :
( ( ( m1_subset_1 @ SV80 @ SV27 )
= $false )
| ( ( ~ ! [SY361: $i] :
~ ( m3_realset1 @ SY361 @ SV27 @ SV80 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5827]) ).
thf(5914,plain,
! [SV28: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV28 )
| ~ ( l1_group_1 @ SV28 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY265: $i] :
( ~ ( m1_subset_1 @ SY265 @ ( u1_struct_0 @ SV28 ) )
| ! [SY266: $i] :
( ~ ( m1_subset_1 @ SY266 @ ( u1_struct_0 @ SV28 ) )
| ! [SY267: $i] :
( ~ ( m1_subset_1 @ SY267 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ ( k1_group_1 @ SV28 @ SY265 @ SY266 ) @ SY267 )
= ( k1_group_1 @ SV28 @ SY265 @ ( k1_group_1 @ SV28 @ SY266 @ SY267 ) ) ) ) ) )
| ~ ! [SY268: $i] :
( ~ ( m1_subset_1 @ SY268 @ ( u1_struct_0 @ SV28 ) )
| ! [SY269: $i] :
( ~ ( m1_subset_1 @ SY269 @ ( u1_struct_0 @ SV28 ) )
| ~ ( ~ ~ ! [SY270: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY270 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY268 @ SY270 )
!= SY269 ) )
| ~ ~ ! [SY271: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY271 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY271 @ SY268 )
!= SY269 ) ) ) ) ) )
| ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5828]) ).
thf(5915,plain,
! [SV93: $i,SV81: $i,SV29: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV29 )
| ~ ( v3_group_1 @ SV29 ) )
| ~ ( v4_group_1 @ SV29 ) )
| ~ ( l1_group_1 @ SV29 ) )
| ~ ( m1_subset_1 @ SV81 @ ( u1_struct_0 @ SV29 ) ) )
| ~ ( m1_subset_1 @ SV93 @ ( u1_struct_0 @ SV29 ) ) ) )
= $true )
| ( ( m1_subset_1 @ ( k2_group_5 @ SV29 @ SV81 @ SV93 ) @ ( u1_struct_0 @ SV29 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5830]) ).
thf(5916,plain,
! [SV94: $i,SV82: $i,SV30: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV30 )
| ~ ( v3_group_1 @ SV30 ) )
| ~ ( v4_group_1 @ SV30 ) )
| ~ ( l1_group_1 @ SV30 ) )
| ~ ( m1_subset_1 @ SV82 @ ( u1_struct_0 @ SV30 ) ) )
| ~ ( m1_subset_1 @ SV94 @ ( u1_struct_0 @ SV30 ) ) ) )
= $true )
| ( ( r2_group_3 @ SV30 @ SV82 @ SV82 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5831]) ).
thf(5917,plain,
( ( ~ ( l2_struct_0 @ sK4_SX0 )
| ~ ~ ( v3_struct_0 @ sK4_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[5832]) ).
thf(5918,plain,
! [SV31: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV31 )
| ~ ( v3_group_1 @ SV31 ) )
| ~ ( v4_group_1 @ SV31 ) )
| ~ ( l1_group_1 @ SV31 ) )
= $true )
| ( ( ! [SY276: $i] :
( ~ ( m1_subset_1 @ SY276 @ ( u1_struct_0 @ SV31 ) )
| ! [SY277: $i] :
( ~ ( m1_subset_1 @ SY277 @ ( u1_struct_0 @ SV31 ) )
| ( ( k3_group_1 @ SV31 @ SY276 )
!= ( k3_group_1 @ SV31 @ SY277 ) )
| ( SY276 = SY277 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5833]) ).
thf(5919,plain,
! [SV32: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV32 )
| ~ ( v3_group_1 @ SV32 ) )
| ~ ( v4_group_1 @ SV32 ) )
| ~ ( l1_group_1 @ SV32 ) )
= $true )
| ( ( ! [SY278: $i] :
( ~ ( m1_subset_1 @ SY278 @ ( u1_struct_0 @ SV32 ) )
| ~ ( ( ( k2_group_5 @ SV32 @ SY278 @ ( k3_group_1 @ SV32 @ SY278 ) )
!= ( k2_group_1 @ SV32 ) )
| ( ( k2_group_5 @ SV32 @ ( k3_group_1 @ SV32 @ SY278 ) @ SY278 )
!= ( k2_group_1 @ SV32 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5834]) ).
thf(5920,plain,
! [SV33: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV33 )
| ~ ( v3_group_1 @ SV33 ) )
| ~ ( v4_group_1 @ SV33 ) )
| ~ ( l1_group_1 @ SV33 ) )
= $true )
| ( ( ! [SY279: $i] :
( ~ ( m1_subset_1 @ SY279 @ ( u1_struct_0 @ SV33 ) )
| ! [SY280: $i] :
( ~ ( m1_subset_1 @ SY280 @ ( u1_struct_0 @ SV33 ) )
| ! [SY281: $i] :
( ~ ( m1_subset_1 @ SY281 @ ( u1_struct_0 @ SV33 ) )
| ( ( k2_group_3 @ SV33 @ SY279 @ SY280 )
!= ( k2_group_3 @ SV33 @ SY281 @ SY280 ) )
| ( SY279 = SY281 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5835]) ).
thf(5921,plain,
! [SV34: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV34 )
| ~ ( v3_group_1 @ SV34 ) )
| ~ ( v4_group_1 @ SV34 ) )
| ~ ( l1_group_1 @ SV34 ) )
= $true )
| ( ( ! [SY282: $i] :
( ~ ( m1_subset_1 @ SY282 @ ( u1_struct_0 @ SV34 ) )
| ! [SY283: $i] :
( ~ ( m1_subset_1 @ SY283 @ ( u1_struct_0 @ SV34 ) )
| ~ ( ( ( k1_group_1 @ SV34 @ SY282 @ SY283 )
= ( k2_group_1 @ SV34 ) )
| ( ( k1_group_1 @ SV34 @ SY283 @ SY282 )
= ( k2_group_1 @ SV34 ) ) )
| ~ ( ( SY282
!= ( k3_group_1 @ SV34 @ SY283 ) )
| ( SY283
!= ( k3_group_1 @ SV34 @ SY282 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5836]) ).
thf(5922,plain,
! [SV83: $i,SV35: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV35 )
| ~ ( v3_group_1 @ SV35 ) )
| ~ ( v4_group_1 @ SV35 ) )
| ~ ( l1_group_1 @ SV35 ) )
| ~ ~ ( v3_struct_0 @ SV83 ) )
| ~ ( v3_group_1 @ SV83 ) )
| ~ ( v4_group_1 @ SV83 ) )
| ~ ( l1_group_1 @ SV83 ) ) )
= $false )
| ( ( r1_group_6 @ SV35 @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5837]) ).
thf(5923,plain,
! [SV36: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV36 )
| ~ ( v3_group_1 @ SV36 ) )
| ~ ( v4_group_1 @ SV36 ) )
| ~ ( l1_group_1 @ SV36 ) )
= $true )
| ( ( ! [SY285: $i] :
( ~ ( m1_subset_1 @ SY285 @ ( u1_struct_0 @ SV36 ) )
| ! [SY286: $i] :
( ~ ( m1_subset_1 @ SY286 @ ( u1_struct_0 @ SV36 ) )
| ! [SY287: $i] :
( ~ ( m1_subset_1 @ SY287 @ ( u1_struct_0 @ SV36 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV36 @ SY285 @ SY286 )
!= SY287 )
| ( SY285
= ( k1_group_1 @ SV36 @ SY287 @ ( k3_group_1 @ SV36 @ SY286 ) ) ) )
| ~ ( ( SY285
!= ( k1_group_1 @ SV36 @ SY287 @ ( k3_group_1 @ SV36 @ SY286 ) ) )
| ( ( k1_group_1 @ SV36 @ SY285 @ SY286 )
= SY287 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5838]) ).
thf(5924,plain,
! [SV37: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV37 )
| ~ ( v3_group_1 @ SV37 ) )
| ~ ( v4_group_1 @ SV37 ) )
| ~ ( l1_group_1 @ SV37 ) )
= $true )
| ( ( ! [SY288: $i] :
( ~ ( m1_group_2 @ SY288 @ SV37 )
| ( v4_group_1 @ SY288 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5839]) ).
thf(5925,plain,
( ( ~ ~ ( ~ ~ ( ~ ( l1_group_1 @ sK5_SX0 )
| ~ ~ ( v3_struct_0 @ sK5_SX0 ) )
| ~ ( v4_group_1 @ sK5_SX0 ) )
| ~ ( v7_group_1 @ sK5_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[5840]) ).
thf(5926,plain,
! [SV38: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV38 )
| ~ ( v3_group_1 @ SV38 ) )
| ~ ( l1_group_1 @ SV38 ) )
= $true )
| ( ( ! [SY289: $i] :
( ~ ( m1_group_2 @ SY289 @ SV38 )
| ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY289 )
| ~ ( v3_group_1 @ SY289 ) )
| ~ ( l1_group_1 @ SY289 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5841]) ).
thf(5927,plain,
! [SV39: $i] :
( ( m1_subset_1 @ ( sK12_SY290 @ SV39 ) @ SV39 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[5842]) ).
thf(5928,plain,
! [SV40: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV40 )
| ~ ( v3_group_1 @ SV40 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( v3_struct_0 @ SV40 )
| ~ ( v2_group_1 @ SV40 ) ) )
= $true )
| ( ( l1_group_1 @ SV40 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5843]) ).
thf(5929,plain,
! [SV41: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV41 )
| ~ ( v3_group_1 @ SV41 ) )
| ~ ( v4_group_1 @ SV41 ) )
| ~ ( l1_group_1 @ SV41 ) )
= $true )
| ( ( ! [SY291: $i] :
( ~ ( m1_subset_1 @ SY291 @ ( u1_struct_0 @ SV41 ) )
| ! [SY292: $i] :
( ~ ( m1_subset_1 @ SY292 @ ( u1_struct_0 @ SV41 ) )
| ( ( k3_group_1 @ SV41 @ ( k2_group_5 @ SV41 @ SY291 @ SY292 ) )
= ( k2_group_5 @ SV41 @ SY292 @ SY291 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5844]) ).
thf(5930,plain,
! [SV42: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV42 )
| ~ ( v3_group_1 @ SV42 ) )
| ~ ( v4_group_1 @ SV42 ) )
| ~ ( l1_group_1 @ SV42 ) )
= $true )
| ( ( ! [SY293: $i] :
( ~ ( m1_subset_1 @ SY293 @ ( u1_struct_0 @ SV42 ) )
| ! [SY294: $i] :
( ~ ( m1_subset_1 @ SY294 @ ( u1_struct_0 @ SV42 ) )
| ( ( k3_group_5 @ SV42 @ SY293 @ SY293 @ SY294 )
= ( k2_group_1 @ SV42 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5845]) ).
thf(5931,plain,
! [SV43: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV43 )
| ~ ( v3_group_1 @ SV43 ) )
| ~ ( l1_group_1 @ SV43 ) )
= $true )
| ( ( ! [SY295: $i] :
( ~ ( m1_subset_1 @ SY295 @ ( u1_struct_0 @ SV43 ) )
| ~ ! [SY296: $i] :
( ~ ( m1_subset_1 @ SY296 @ ( u1_struct_0 @ SV43 ) )
| ~ ( ( ( k1_group_1 @ SV43 @ SY296 @ SY295 )
!= SY296 )
| ( ( k1_group_1 @ SV43 @ SY295 @ SY296 )
!= SY296 ) ) )
| ( SY295
= ( k2_group_1 @ SV43 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5846]) ).
thf(5932,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( l1_group_1 @ sK6_SX0 )
| ~ ~ ( v3_struct_0 @ sK6_SX0 ) )
| ~ ( v1_group_1 @ sK6_SX0 ) )
| ~ ( v2_group_1 @ sK6_SX0 ) )
| ~ ( v3_group_1 @ sK6_SX0 ) )
| ~ ( v4_group_1 @ sK6_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[5847]) ).
thf(5933,plain,
! [SV44: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV44 )
| ~ ( l1_group_1 @ SV44 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( v4_group_1 @ SV44 )
| ! [SY297: $i] :
( ~ ( m1_subset_1 @ SY297 @ ( u1_struct_0 @ SV44 ) )
| ! [SY298: $i] :
( ~ ( m1_subset_1 @ SY298 @ ( u1_struct_0 @ SV44 ) )
| ! [SY299: $i] :
( ~ ( m1_subset_1 @ SY299 @ ( u1_struct_0 @ SV44 ) )
| ( ( k1_group_1 @ SV44 @ ( k1_group_1 @ SV44 @ SY297 @ SY298 ) @ SY299 )
= ( k1_group_1 @ SV44 @ SY297 @ ( k1_group_1 @ SV44 @ SY298 @ SY299 ) ) ) ) ) ) )
| ~ ( ~ ! [SY300: $i] :
( ~ ( m1_subset_1 @ SY300 @ ( u1_struct_0 @ SV44 ) )
| ! [SY301: $i] :
( ~ ( m1_subset_1 @ SY301 @ ( u1_struct_0 @ SV44 ) )
| ! [SY302: $i] :
( ~ ( m1_subset_1 @ SY302 @ ( u1_struct_0 @ SV44 ) )
| ( ( k1_group_1 @ SV44 @ ( k1_group_1 @ SV44 @ SY300 @ SY301 ) @ SY302 )
= ( k1_group_1 @ SV44 @ SY300 @ ( k1_group_1 @ SV44 @ SY301 @ SY302 ) ) ) ) ) )
| ( v4_group_1 @ SV44 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5848]) ).
thf(5934,plain,
! [SV45: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV45 )
| ~ ( v3_group_1 @ SV45 ) )
| ~ ( v4_group_1 @ SV45 ) )
| ~ ( l1_group_1 @ SV45 ) )
= $true )
| ( ( ! [SY303: $i] :
( ~ ( m1_subset_1 @ SY303 @ ( u1_struct_0 @ SV45 ) )
| ! [SY304: $i] :
( ~ ( m1_subset_1 @ SY304 @ ( u1_struct_0 @ SV45 ) )
| ( ( k3_group_1 @ SV45 @ ( k1_group_1 @ SV45 @ SY303 @ SY304 ) )
= ( k1_group_1 @ SV45 @ ( k3_group_1 @ SV45 @ SY304 ) @ ( k3_group_1 @ SV45 @ SY303 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5849]) ).
thf(5935,plain,
! [SV46: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV46 )
| ~ ( v1_group_1 @ SV46 ) )
| ~ ( v3_group_1 @ SV46 ) )
| ~ ( v4_group_1 @ SV46 ) )
| ~ ( l1_group_1 @ SV46 ) )
= $true )
| ( ( ( k6_autgroup @ SV46 @ ( k2_group_1 @ SV46 ) )
= ( k6_partfun1 @ ( u1_struct_0 @ SV46 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5850]) ).
thf(5936,plain,
( ( m1_subset_1 @ sK7_SX0 @ ( u1_struct_0 @ sK1_A ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[5851]) ).
thf(5937,plain,
! [SV98: $i,SV95: $i,SV84: $i,SV47: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV47 )
| ~ ( v3_group_1 @ SV47 ) )
| ~ ( v4_group_1 @ SV47 ) )
| ~ ( l1_group_1 @ SV47 ) )
| ~ ( m1_subset_1 @ SV84 @ ( u1_struct_0 @ SV47 ) ) )
| ~ ( m1_subset_1 @ SV95 @ ( u1_struct_0 @ SV47 ) ) )
| ~ ( m1_subset_1 @ SV98 @ ( u1_struct_0 @ SV47 ) ) )
| ( m1_subset_1 @ ( k3_group_5 @ SV47 @ SV84 @ SV95 @ SV98 ) @ ( u1_struct_0 @ SV47 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5853]) ).
thf(5938,plain,
! [SV48: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV48 )
| ~ ( v3_group_1 @ SV48 ) )
| ~ ( v4_group_1 @ SV48 ) )
| ~ ( l1_group_1 @ SV48 ) )
= $true )
| ( ( ! [SY308: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY308 )
| ~ ( v3_group_1 @ SY308 ) )
| ~ ( v4_group_1 @ SY308 ) )
| ~ ( l1_group_1 @ SY308 ) )
| ! [SY309: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY309 )
| ~ ( v3_group_1 @ SY309 ) )
| ~ ( v4_group_1 @ SY309 ) )
| ~ ( l1_group_1 @ SY309 ) )
| ~ ~ ( ~ ( r1_group_6 @ SV48 @ SY308 )
| ~ ( r1_group_6 @ SY308 @ SY309 ) )
| ( r1_group_6 @ SV48 @ SY309 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5854]) ).
thf(5939,plain,
! [SV85: $i,SV49: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV49 )
| ~ ( v3_group_1 @ SV49 ) )
| ~ ( v4_group_1 @ SV49 ) )
| ~ ( l1_group_1 @ SV49 ) )
| ~ ( m1_subset_1 @ SV85 @ ( u1_struct_0 @ SV49 ) ) ) )
= $false )
| ( ( m1_subset_1 @ ( k3_group_1 @ SV49 @ SV85 ) @ ( u1_struct_0 @ SV49 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5855]) ).
thf(5940,plain,
! [SV50: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV50 )
| ~ ( v3_group_1 @ SV50 ) )
| ~ ( v4_group_1 @ SV50 ) )
| ~ ( l1_group_1 @ SV50 ) )
= $true )
| ( ( ( k3_group_1 @ SV50 @ ( k2_group_1 @ SV50 ) )
= ( k2_group_1 @ SV50 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5856]) ).
thf(5941,plain,
! [SV96: $i,SV86: $i,SV51: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV51 )
| ~ ( v3_group_1 @ SV51 ) )
| ~ ( v4_group_1 @ SV51 ) )
| ~ ( l1_group_1 @ SV51 ) )
| ~ ( m1_subset_1 @ SV86 @ ( u1_struct_0 @ SV51 ) ) )
| ~ ( m1_subset_1 @ SV96 @ ( u1_struct_0 @ SV51 ) ) ) )
= $true )
| ( ( ~ ( r2_group_3 @ SV51 @ SV86 @ SV96 )
| ( r2_group_3 @ SV51 @ SV96 @ SV86 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5857]) ).
thf(5942,plain,
! [SV52: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV52 )
| ~ ( v1_group_1 @ SV52 ) )
| ~ ( v3_group_1 @ SV52 ) )
| ~ ( v4_group_1 @ SV52 ) )
| ~ ( l1_group_1 @ SV52 ) )
= $true )
| ( ( ! [SY313: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY313 )
| ~ ( v1_group_1 @ SY313 ) )
| ~ ( v3_group_1 @ SY313 ) )
| ~ ( v4_group_1 @ SY313 ) )
| ~ ( l1_group_1 @ SY313 ) )
| ~ ( r1_group_6 @ SV52 @ SY313 )
| ( r1_group_6 @ SY313 @ SV52 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5858]) ).
thf(5943,plain,
! [SV53: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV53 )
| ~ ( v3_group_1 @ SV53 ) )
| ~ ( v4_group_1 @ SV53 ) )
| ~ ( l1_group_1 @ SV53 ) )
= $true )
| ( ( ! [SY314: $i] :
( ~ ( m1_group_2 @ SY314 @ SV53 )
| ( ( k2_group_1 @ SY314 )
= ( k2_group_1 @ SV53 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5859]) ).
thf(5944,plain,
! [SV54: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV54 )
| ~ ( v3_group_1 @ SV54 ) )
| ~ ( v4_group_1 @ SV54 ) )
| ~ ( l1_group_1 @ SV54 ) )
= $true )
| ( ( ! [SY315: $i] :
( ~ ( m1_subset_1 @ SY315 @ ( u1_struct_0 @ SV54 ) )
| ! [SY316: $i] :
( ~ ( m1_subset_1 @ SY316 @ ( u1_struct_0 @ SV54 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV54 @ SY315 @ SY316 )
!= ( k1_group_1 @ SV54 @ SY316 @ SY315 ) )
| ( ( k1_group_1 @ SV54 @ SY315 @ ( k3_group_1 @ SV54 @ SY316 ) )
= ( k1_group_1 @ SV54 @ ( k3_group_1 @ SV54 @ SY316 ) @ SY315 ) ) )
| ~ ( ( ( k1_group_1 @ SV54 @ SY315 @ ( k3_group_1 @ SV54 @ SY316 ) )
!= ( k1_group_1 @ SV54 @ ( k3_group_1 @ SV54 @ SY316 ) @ SY315 ) )
| ( ( k1_group_1 @ SV54 @ SY315 @ SY316 )
= ( k1_group_1 @ SV54 @ SY316 @ SY315 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5860]) ).
thf(5945,plain,
! [SV55: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV55 )
| ~ ( v3_group_1 @ SV55 ) )
| ~ ( v4_group_1 @ SV55 ) )
| ~ ( l1_group_1 @ SV55 ) )
= $true )
| ( ( ! [SY317: $i] :
( ~ ( m1_subset_1 @ SY317 @ ( u1_struct_0 @ SV55 ) )
| ! [SY318: $i] :
( ~ ( m1_group_2 @ SY318 @ SV55 )
| ! [SY319: $i] :
( ~ ( m1_subset_1 @ SY319 @ ( u1_struct_0 @ SY318 ) )
| ( SY319 != SY317 )
| ( ( k3_group_1 @ SY318 @ SY319 )
= ( k3_group_1 @ SV55 @ SY317 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5861]) ).
thf(5946,plain,
! [SV56: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV56 )
| ~ ( v3_group_1 @ SV56 ) )
| ~ ( v4_group_1 @ SV56 ) )
| ~ ( l1_group_1 @ SV56 ) )
= $true )
| ( ( ! [SY320: $i] :
( ~ ( m1_subset_1 @ SY320 @ ( u1_struct_0 @ SV56 ) )
| ! [SY321: $i] :
( ~ ( m1_subset_1 @ SY321 @ ( u1_struct_0 @ SV56 ) )
| ~ ~ ( ( ( k1_group_1 @ SV56 @ SY320 @ SY321 )
!= ( k2_group_1 @ SV56 ) )
| ( ( k1_group_1 @ SV56 @ SY321 @ SY320 )
!= ( k2_group_1 @ SV56 ) ) )
| ( SY321
= ( k3_group_1 @ SV56 @ SY320 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5862]) ).
thf(5947,plain,
! [SV57: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV57 )
| ~ ( v3_group_1 @ SV57 ) )
| ~ ( v4_group_1 @ SV57 ) )
| ~ ( l1_group_1 @ SV57 ) )
= $true )
| ( ( ! [SY322: $i] :
( ~ ( m1_subset_1 @ SY322 @ ( u1_struct_0 @ SV57 ) )
| ( ( k2_group_3 @ SV57 @ SY322 @ SY322 )
= SY322 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5863]) ).
thf(5948,plain,
! [SV58: $i] :
( ( $true = $true )
| ( ( ! [SY323: $i] :
( ~ ( m1_subset_1 @ SY323 @ SV58 )
| ( SY323
= ( k8_subset_1 @ SV58 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5864]) ).
thf(5949,plain,
! [SV59: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV59 )
| ~ ( v3_group_1 @ SV59 ) )
| ~ ( v4_group_1 @ SV59 ) )
| ~ ( l1_group_1 @ SV59 ) )
= $true )
| ( ( ! [SY324: $i] :
( ~ ( m1_subset_1 @ SY324 @ ( u1_struct_0 @ SV59 ) )
| ! [SY325: $i] :
( ~ ( m1_subset_1 @ SY325 @ ( u1_struct_0 @ SV59 ) )
| ~ ! [SY326: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY326 @ ( u1_struct_0 @ SV59 ) )
| ( ( k1_group_1 @ SV59 @ SY324 @ SY326 )
!= SY325 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5865]) ).
thf(5950,plain,
! [SV60: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV60 )
| ~ ( v3_group_1 @ SV60 ) )
| ~ ( v4_group_1 @ SV60 ) )
| ~ ( l1_group_1 @ SV60 ) )
= $true )
| ( ( ! [SY327: $i] :
( ~ ( m1_subset_1 @ SY327 @ ( u1_struct_0 @ SV60 ) )
| ! [SY328: $i] :
( ~ ( m1_subset_1 @ SY328 @ ( u1_struct_0 @ SV60 ) )
| ~ ( ~ ( ( SY328
!= ( k3_group_1 @ SV60 @ SY327 ) )
| ~ ( ( ( k1_group_1 @ SV60 @ SY327 @ SY328 )
!= ( k2_group_1 @ SV60 ) )
| ( ( k1_group_1 @ SV60 @ SY328 @ SY327 )
!= ( k2_group_1 @ SV60 ) ) ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV60 @ SY327 @ SY328 )
!= ( k2_group_1 @ SV60 ) )
| ( ( k1_group_1 @ SV60 @ SY328 @ SY327 )
!= ( k2_group_1 @ SV60 ) ) )
| ( SY328
= ( k3_group_1 @ SV60 @ SY327 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5866]) ).
thf(5951,plain,
! [SV87: $i,SV61: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV61 )
| ~ ( v1_group_1 @ SV61 ) )
| ~ ( v3_group_1 @ SV61 ) )
| ~ ( v4_group_1 @ SV61 ) )
| ~ ( l1_group_1 @ SV61 ) )
| ~ ~ ( v3_struct_0 @ SV87 ) )
| ~ ( v1_group_1 @ SV87 ) )
| ~ ( v3_group_1 @ SV87 ) )
| ~ ( v4_group_1 @ SV87 ) )
| ~ ( l1_group_1 @ SV87 ) ) )
= $false )
| ( ( ~ ( r2_group_6 @ SV61 @ SV87 )
| ( r2_group_6 @ SV87 @ SV61 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5867]) ).
thf(5952,plain,
! [SV62: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV62 )
| ~ ( v1_group_1 @ SV62 ) )
| ~ ( v3_group_1 @ SV62 ) )
| ~ ( v4_group_1 @ SV62 ) )
| ~ ( l1_group_1 @ SV62 ) )
= $true )
| ( ( ! [SY330: $i] :
( ~ ( m1_subset_1 @ SY330 @ ( u1_struct_0 @ SV62 ) )
| ( ( k8_funct_2 @ ( u1_struct_0 @ SV62 ) @ ( u1_struct_0 @ SV62 ) @ ( k6_autgroup @ SV62 @ ( k2_group_1 @ SV62 ) ) @ SY330 )
= SY330 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5868]) ).
thf(5953,plain,
( ( ~ ( l1_funcsdom @ sK8_SX0 )
| ~ ~ ( v3_struct_0 @ sK8_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[5869]) ).
thf(5954,plain,
( ( ~ ( l1_group_1 @ sK9_SX0 )
| ~ ( v1_group_1 @ sK9_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[5870]) ).
thf(5955,plain,
! [SV97: $i,SV88: $i,SV63: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV63 )
| ~ ( l1_group_1 @ SV63 ) )
| ~ ( m1_subset_1 @ SV88 @ ( u1_struct_0 @ SV63 ) ) )
| ~ ( m1_subset_1 @ SV97 @ ( u1_struct_0 @ SV63 ) ) ) )
= $true )
| ( ( m1_subset_1 @ ( k1_group_1 @ SV63 @ SV88 @ SV97 ) @ ( u1_struct_0 @ SV63 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5871]) ).
thf(5956,plain,
! [SV64: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV64 )
| ~ ( v3_group_1 @ SV64 ) )
| ~ ( v4_group_1 @ SV64 ) )
| ~ ( l1_group_1 @ SV64 ) )
= $true )
| ( ( ! [SY333: $i] :
( ~ ( m1_subset_1 @ SY333 @ ( u1_struct_0 @ SV64 ) )
| ( ( k2_group_5 @ SV64 @ SY333 @ SY333 )
= ( k2_group_1 @ SV64 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5872]) ).
thf(5957,plain,
! [SV89: $i,SV65: $i] :
( ( ( r2_hidden @ SV65 @ SV89 )
= $false )
| ( ( m1_subset_1 @ SV65 @ SV89 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5873]) ).
thf(5958,plain,
! [SV66: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV66 )
| ~ ( v3_group_1 @ SV66 ) )
| ~ ( v4_group_1 @ SV66 ) )
| ~ ( l1_group_1 @ SV66 ) )
= $true )
| ( ( ! [SY335: $i] :
( ~ ( m1_subset_1 @ SY335 @ ( u1_struct_0 @ SV66 ) )
| ! [SY336: $i] :
( ~ ( m1_subset_1 @ SY336 @ ( u1_struct_0 @ SV66 ) )
| ~ ( r1_group_3 @ SV66 @ SY335 @ SY336 )
| ( r1_group_3 @ SV66 @ SY336 @ SY335 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5874]) ).
thf(5959,plain,
! [SV67: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV67 )
| ~ ( v3_group_1 @ SV67 ) )
| ~ ( v4_group_1 @ SV67 ) )
| ~ ( l1_group_1 @ SV67 ) )
= $true )
| ( ( ! [SY337: $i] :
( ~ ( m1_subset_1 @ SY337 @ ( u1_struct_0 @ SV67 ) )
| ( ( k3_group_1 @ SV67 @ ( k3_group_1 @ SV67 @ SY337 ) )
= SY337 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5875]) ).
thf(5960,plain,
! [SV68: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV68 )
| ~ ( v3_group_1 @ SV68 ) )
| ~ ( v4_group_1 @ SV68 ) )
| ~ ( l1_group_1 @ SV68 ) )
= $true )
| ( ( ! [SY338: $i] :
( ~ ( m1_subset_1 @ SY338 @ ( u1_struct_0 @ SV68 ) )
| ( ( k2_group_3 @ SV68 @ SY338 @ ( k2_group_1 @ SV68 ) )
= SY338 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5876]) ).
thf(5961,plain,
! [SV69: $i,SV90: $i] :
( ( ( m1_subset_1 @ SV90 @ SV69 )
= $false )
| ( ( ! [SY368: $i,SY369: $i] :
( ( ( g2_struct_0 @ SV69 @ SV90 )
!= ( g2_struct_0 @ SY368 @ SY369 ) )
| ~ ( ( SV69 != SY368 )
| ( SV90 != SY369 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5877]) ).
thf(5962,plain,
! [SV70: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( l1_group_1 @ SV70 ) )
= $true )
| ( ( ~ ! [SY342: $i] :
( ~ ( m1_subset_1 @ SY342 @ ( u1_struct_0 @ SV70 ) )
| ! [SY343: $i] :
( ~ ( m1_subset_1 @ SY343 @ ( u1_struct_0 @ SV70 ) )
| ! [SY344: $i] :
( ~ ( m1_subset_1 @ SY344 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ SY342 @ SY343 ) @ SY344 )
= ( k1_group_1 @ SV70 @ SY342 @ ( k1_group_1 @ SV70 @ SY343 @ SY344 ) ) ) ) ) )
| ! [SY345: $i] :
( ~ ( m1_subset_1 @ SY345 @ ( u1_struct_0 @ SV70 ) )
| ~ ! [SY346: $i] :
( ~ ( m1_subset_1 @ SY346 @ ( u1_struct_0 @ SV70 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV70 @ SY346 @ SY345 )
!= SY346 )
| ( ( k1_group_1 @ SV70 @ SY345 @ SY346 )
!= SY346 ) )
| ~ ~ ! [SY347: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY347 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ SY346 @ SY347 )
!= SY345 ) )
| ( ( k1_group_1 @ SV70 @ SY347 @ SY346 )
!= SY345 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5878]) ).
thf(5963,plain,
! [SV71: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV71 )
| ~ ( v3_group_1 @ SV71 ) )
| ~ ( v4_group_1 @ SV71 ) )
| ~ ( l1_group_1 @ SV71 ) )
= $true )
| ( ( ! [SY348: $i] :
( ~ ( m1_subset_1 @ SY348 @ ( u1_struct_0 @ SV71 ) )
| ! [SY349: $i] :
( ~ ( m1_subset_1 @ SY349 @ ( u1_struct_0 @ SV71 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SY348 @ SY349 ) @ ( k3_group_1 @ SV71 @ SY349 ) )
!= SY348 )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SY348 @ ( k3_group_1 @ SV71 @ SY349 ) ) @ SY349 )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY349 ) @ SY349 ) @ SY348 )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SY349 @ ( k3_group_1 @ SV71 @ SY349 ) ) @ SY348 )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ SY348 @ ( k1_group_1 @ SV71 @ SY349 @ ( k3_group_1 @ SV71 @ SY349 ) ) )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ SY348 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY349 ) @ SY349 ) )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY349 ) @ ( k1_group_1 @ SV71 @ SY349 @ SY348 ) )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ SY349 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY349 ) @ SY348 ) )
!= SY348 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5879]) ).
thf(5964,plain,
! [SV91: $i,SV72: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV72 )
| ~ ( v1_group_1 @ SV72 ) )
| ~ ( v3_group_1 @ SV72 ) )
| ~ ( v4_group_1 @ SV72 ) )
| ~ ( l1_group_1 @ SV72 ) )
| ~ ~ ( v3_struct_0 @ SV91 ) )
| ~ ( v1_group_1 @ SV91 ) )
| ~ ( v3_group_1 @ SV91 ) )
| ~ ( v4_group_1 @ SV91 ) )
| ~ ( l1_group_1 @ SV91 ) ) )
= $false )
| ( ( r2_group_6 @ SV72 @ SV72 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5880]) ).
thf(5965,plain,
! [SV73: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV73 )
| ~ ( v3_group_1 @ SV73 ) )
| ~ ( v4_group_1 @ SV73 ) )
| ~ ( l1_group_1 @ SV73 ) )
= $true )
| ( ( ! [SY351: $i] :
( ~ ( m1_subset_1 @ SY351 @ ( u1_struct_0 @ SV73 ) )
| ~ ( ( ( k2_group_3 @ SV73 @ SY351 @ ( k3_group_1 @ SV73 @ SY351 ) )
!= SY351 )
| ( ( k2_group_3 @ SV73 @ ( k3_group_1 @ SV73 @ SY351 ) @ SY351 )
!= ( k3_group_1 @ SV73 @ SY351 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5881]) ).
thf(5966,plain,
! [SV74: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV74 )
| ~ ( v3_group_1 @ SV74 ) )
| ~ ( v4_group_1 @ SV74 ) )
| ~ ( l1_group_1 @ SV74 ) )
= $true )
| ( ( ! [SY352: $i] :
( ~ ( m1_subset_1 @ SY352 @ ( u1_struct_0 @ SV74 ) )
| ! [SY353: $i] :
( ~ ( m1_subset_1 @ SY353 @ ( u1_struct_0 @ SV74 ) )
| ! [SY354: $i] :
( ~ ( m1_subset_1 @ SY354 @ ( u1_struct_0 @ SV74 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV74 @ SY352 @ SY353 )
!= SY354 )
| ( SY353
= ( k1_group_1 @ SV74 @ ( k3_group_1 @ SV74 @ SY352 ) @ SY354 ) ) )
| ~ ( ( SY353
!= ( k1_group_1 @ SV74 @ ( k3_group_1 @ SV74 @ SY352 ) @ SY354 ) )
| ( ( k1_group_1 @ SV74 @ SY352 @ SY353 )
= SY354 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5882]) ).
thf(5967,plain,
! [SV75: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV75 )
| ~ ( v3_group_1 @ SV75 ) )
| ~ ( v4_group_1 @ SV75 ) )
| ~ ( l1_group_1 @ SV75 ) )
= $true )
| ( ( ! [SY355: $i] :
( ~ ( m1_subset_1 @ SY355 @ ( u1_struct_0 @ SV75 ) )
| ( ( k3_group_1 @ SV75 @ SY355 )
!= ( k2_group_1 @ SV75 ) )
| ( SY355
= ( k2_group_1 @ SV75 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5883]) ).
thf(5968,plain,
( ( ~ ~ ( ~ ( l1_group_1 @ sK10_SX0 )
| ~ ~ ( v3_struct_0 @ sK10_SX0 ) )
| ~ ( v1_group_1 @ sK10_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[5884]) ).
thf(5969,plain,
! [SV76: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV76 )
| ~ ( v3_group_1 @ SV76 ) )
| ~ ( v4_group_1 @ SV76 ) )
| ~ ( l1_group_1 @ SV76 ) )
= $true )
| ( ( ~ ( v5_group_1 @ ( k2_group_1 @ SV76 ) @ SV76 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5885]) ).
thf(5970,plain,
! [SV77: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV77 )
| ~ ( v3_group_1 @ SV77 ) )
| ~ ( v4_group_1 @ SV77 ) )
| ~ ( l1_group_1 @ SV77 ) )
= $true )
| ( ( ! [SY356: $i] :
( ~ ( m1_subset_1 @ SY356 @ ( u1_struct_0 @ SV77 ) )
| ! [SY357: $i] :
( ~ ( m1_subset_1 @ SY357 @ ( u1_struct_0 @ SV77 ) )
| ~ ! [SY358: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY358 @ ( u1_struct_0 @ SV77 ) )
| ( ( k1_group_1 @ SV77 @ SY358 @ SY356 )
!= SY357 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5886]) ).
thf(5971,plain,
! [SV78: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV78 )
| ~ ( v3_group_1 @ SV78 ) )
| ~ ( l1_group_1 @ SV78 ) )
= $true )
| ( ( ~ ! [SY359: $i] :
~ ( m1_group_2 @ SY359 @ SV78 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5887]) ).
thf(5972,plain,
( ( ~ ( l2_rlvect_1 @ sK11_SX0 )
| ~ ~ ( v3_struct_0 @ sK11_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[5888]) ).
thf(5973,plain,
( ( ~ ( l1_struct_0 @ sK2_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[5889]) ).
thf(5974,plain,
( ( ~ ~ ( v3_struct_0 @ sK2_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[5889]) ).
thf(5975,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV2 )
| ~ ( v1_group_1 @ SV2 ) )
| ~ ( v3_group_1 @ SV2 ) )
| ~ ( v4_group_1 @ SV2 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV2 ) )
= $true )
| ( ( ! [SY222: $i] :
( ~ ( m1_subset_1 @ SY222 @ ( u1_struct_0 @ SV2 ) )
| ! [SY223: $i] :
( ~ ( m1_subset_1 @ SY223 @ ( u1_struct_0 @ SV2 ) )
| ( ( k6_autgroup @ SV2 @ ( k1_group_1 @ SV2 @ SY222 @ SY223 ) )
= ( k7_funct_2 @ ( u1_struct_0 @ SV2 ) @ ( u1_struct_0 @ SV2 ) @ ( u1_struct_0 @ SV2 ) @ ( k6_autgroup @ SV2 @ SY222 ) @ ( k6_autgroup @ SV2 @ SY223 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5890]) ).
thf(5976,plain,
! [SV3: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV3 )
| ~ ( v3_group_1 @ SV3 ) )
| ~ ( v4_group_1 @ SV3 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV3 ) )
= $true )
| ( ( ! [SY224: $i] :
( ~ ( m1_subset_1 @ SY224 @ ( u1_struct_0 @ SV3 ) )
| ! [SY225: $i] :
( ~ ( m1_subset_1 @ SY225 @ ( u1_struct_0 @ SV3 ) )
| ~ ( ( ( k1_group_1 @ SV3 @ SY224 @ SY225 )
= SY224 )
| ( ( k1_group_1 @ SV3 @ SY225 @ SY224 )
= SY224 ) )
| ( SY225
= ( k2_group_1 @ SV3 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5891]) ).
thf(5977,plain,
! [SV4: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV4 )
| ~ ( v3_group_1 @ SV4 ) )
| ~ ( v4_group_1 @ SV4 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV4 ) )
= $true )
| ( ( ! [SY226: $i] :
( ~ ( m1_group_2 @ SY226 @ SV4 )
| ! [SY227: $i] :
( ~ ( m1_group_2 @ SY227 @ SV4 )
| ( ( k2_group_1 @ SY226 )
= ( k2_group_1 @ SY227 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5892]) ).
thf(5978,plain,
! [SV5: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV5 )
| ~ ( v3_group_1 @ SV5 ) )
| ~ ( v4_group_1 @ SV5 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV5 ) )
= $true )
| ( ( ! [SY228: $i] :
( ~ ( m1_subset_1 @ SY228 @ ( u1_struct_0 @ SV5 ) )
| ! [SY229: $i] :
( ~ ( m1_subset_1 @ SY229 @ ( u1_struct_0 @ SV5 ) )
| ~ ( ( ( k2_group_3 @ SV5 @ ( k2_group_3 @ SV5 @ SY228 @ SY229 ) @ ( k3_group_1 @ SV5 @ SY229 ) )
!= SY228 )
| ( ( k2_group_3 @ SV5 @ ( k2_group_3 @ SV5 @ SY228 @ ( k3_group_1 @ SV5 @ SY229 ) ) @ SY229 )
!= SY228 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5893]) ).
thf(5979,plain,
! [SV6: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV6 )
| ~ ( v3_group_1 @ SV6 ) )
| ~ ( v4_group_1 @ SV6 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV6 ) )
= $true )
| ( ( ! [SY230: $i] :
( ~ ( m1_subset_1 @ SY230 @ ( u1_struct_0 @ SV6 ) )
| ( ( k2_group_3 @ SV6 @ ( k2_group_1 @ SV6 ) @ SY230 )
= ( k2_group_1 @ SV6 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5894]) ).
thf(5980,plain,
! [SV7: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV7 )
| ~ ( v3_group_1 @ SV7 ) )
| ~ ( v4_group_1 @ SV7 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV7 ) )
= $true )
| ( ( ! [SY231: $i] :
( ~ ( m1_subset_1 @ SY231 @ ( u1_struct_0 @ SV7 ) )
| ~ ( ( r2_group_3 @ SV7 @ SY231 @ ( k2_group_1 @ SV7 ) )
| ( r2_group_3 @ SV7 @ ( k2_group_1 @ SV7 ) @ SY231 ) )
| ( SY231
= ( k2_group_1 @ SV7 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5895]) ).
thf(5981,plain,
! [SV8: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV8 )
| ~ ( v3_group_1 @ SV8 ) )
| ~ ( v4_group_1 @ SV8 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV8 ) )
= $true )
| ( ( ! [SY232: $i] :
( ~ ( m1_subset_1 @ SY232 @ ( u1_struct_0 @ SV8 ) )
| ! [SY233: $i] :
( ~ ( m1_subset_1 @ SY233 @ ( u1_struct_0 @ SV8 ) )
| ! [SY234: $i] :
( ~ ( m1_subset_1 @ SY234 @ ( u1_struct_0 @ SV8 ) )
| ~ ( ( ( k1_group_1 @ SV8 @ SY232 @ SY233 )
= ( k1_group_1 @ SV8 @ SY232 @ SY234 ) )
| ( ( k1_group_1 @ SV8 @ SY233 @ SY232 )
= ( k1_group_1 @ SV8 @ SY234 @ SY232 ) ) )
| ( SY233 = SY234 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5896]) ).
thf(5982,plain,
! [SV9: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV9 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV9 ) )
= $true )
| ( ( m1_subset_1 @ ( k2_group_1 @ SV9 ) @ ( u1_struct_0 @ SV9 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5897]) ).
thf(5983,plain,
! [SV10: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV10 )
| ~ ( v3_group_1 @ SV10 ) )
| ~ ( v4_group_1 @ SV10 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV10 ) )
= $true )
| ( ( ! [SY235: $i] :
( ~ ( m1_subset_1 @ SY235 @ ( u1_struct_0 @ SV10 ) )
| ! [SY236: $i] :
( ~ ( m1_subset_1 @ SY236 @ ( u1_struct_0 @ SV10 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV10 @ SY235 @ SY236 )
!= ( k1_group_1 @ SV10 @ SY236 @ SY235 ) )
| ( ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY235 ) @ ( k3_group_1 @ SV10 @ SY236 ) )
= ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY236 ) @ ( k3_group_1 @ SV10 @ SY235 ) ) ) )
| ~ ( ( ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY235 ) @ ( k3_group_1 @ SV10 @ SY236 ) )
!= ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY236 ) @ ( k3_group_1 @ SV10 @ SY235 ) ) )
| ( ( k1_group_1 @ SV10 @ SY235 @ SY236 )
= ( k1_group_1 @ SV10 @ SY236 @ SY235 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5898]) ).
thf(5984,plain,
! [SV11: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV11 )
| ~ ( v1_group_1 @ SV11 ) )
| ~ ( v3_group_1 @ SV11 ) )
| ~ ( v4_group_1 @ SV11 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV11 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k3_autgroup @ SV11 ) )
| ~ ( v1_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( v3_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( v4_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( l1_group_1 @ ( k3_autgroup @ SV11 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5899]) ).
thf(5985,plain,
! [SV12: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV12 )
| ~ ( v3_group_1 @ SV12 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV12 ) )
= $true )
| ( ( ! [SY237: $i] :
( ~ ( m1_group_2 @ SY237 @ SV12 )
| ! [SY238: $i] :
( ~ ( m1_subset_1 @ SY238 @ ( u1_struct_0 @ SY237 ) )
| ( m1_subset_1 @ SY238 @ ( u1_struct_0 @ SV12 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5900]) ).
thf(5986,plain,
! [SV13: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV13 )
| ~ ( v3_group_1 @ SV13 ) )
| ~ ( v4_group_1 @ SV13 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV13 ) )
= $true )
| ( ( ! [SY239: $i] :
( ~ ( m1_subset_1 @ SY239 @ ( u1_struct_0 @ SV13 ) )
| ! [SY240: $i] :
( ~ ( m1_subset_1 @ SY240 @ ( u1_struct_0 @ SV13 ) )
| ~ ( ~ ~ ( ( ( k3_group_5 @ SV13 @ SY239 @ SY240 @ ( k2_group_1 @ SV13 ) )
!= ( k2_group_1 @ SV13 ) )
| ( ( k3_group_5 @ SV13 @ SY239 @ ( k2_group_1 @ SV13 ) @ SY240 )
!= ( k2_group_1 @ SV13 ) ) )
| ( ( k3_group_5 @ SV13 @ ( k2_group_1 @ SV13 ) @ SY239 @ SY240 )
!= ( k2_group_1 @ SV13 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5901]) ).
thf(5987,plain,
! [SV15: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV15 )
| ~ ( v3_group_1 @ SV15 ) )
| ~ ( v4_group_1 @ SV15 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV15 ) )
= $true )
| ( ( ! [SY241: $i] :
( ~ ( m1_subset_1 @ SY241 @ ( u1_struct_0 @ SV15 ) )
| ! [SY242: $i] :
( ~ ( m1_subset_1 @ SY242 @ ( u1_struct_0 @ SV15 ) )
| ( ( k2_group_3 @ SV15 @ ( k3_group_1 @ SV15 @ SY241 ) @ SY242 )
= ( k3_group_1 @ SV15 @ ( k2_group_3 @ SV15 @ SY241 @ SY242 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5902]) ).
thf(5988,plain,
! [SV16: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV16 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV16 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( v3_group_1 @ SV16 )
| ~ ! [SY243: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY243 @ ( u1_struct_0 @ SV16 ) )
| ~ ! [SY244: $i] :
( ~ ( m1_subset_1 @ SY244 @ ( u1_struct_0 @ SV16 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV16 @ SY244 @ SY243 )
!= SY244 )
| ( ( k1_group_1 @ SV16 @ SY243 @ SY244 )
!= SY244 ) )
| ~ ~ ! [SY245: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY245 @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ SY244 @ SY245 )
!= SY243 ) )
| ( ( k1_group_1 @ SV16 @ SY245 @ SY244 )
!= SY243 ) ) ) ) ) )
| ~ ( ~ ~ ! [SY246: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY246 @ ( u1_struct_0 @ SV16 ) )
| ~ ! [SY247: $i] :
( ~ ( m1_subset_1 @ SY247 @ ( u1_struct_0 @ SV16 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV16 @ SY247 @ SY246 )
!= SY247 )
| ( ( k1_group_1 @ SV16 @ SY246 @ SY247 )
!= SY247 ) )
| ~ ~ ! [SY248: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY248 @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ SY247 @ SY248 )
!= SY246 ) )
| ( ( k1_group_1 @ SV16 @ SY248 @ SY247 )
!= SY246 ) ) ) ) )
| ( v3_group_1 @ SV16 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5903]) ).
thf(5989,plain,
! [SV17: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV17 )
| ~ ( v3_group_1 @ SV17 ) )
| ~ ( v4_group_1 @ SV17 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV17 ) )
= $true )
| ( ( ! [SY249: $i] :
( ~ ( m1_subset_1 @ SY249 @ ( u1_struct_0 @ SV17 ) )
| ! [SY250: $i] :
( ~ ( m1_subset_1 @ SY250 @ ( u1_struct_0 @ SV17 ) )
| ( ( k2_group_3 @ SV17 @ SY249 @ SY250 )
!= ( k2_group_1 @ SV17 ) )
| ( SY249
= ( k2_group_1 @ SV17 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5904]) ).
thf(5990,plain,
! [SV18: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV18 )
| ~ ( v3_group_1 @ SV18 ) )
| ~ ( v4_group_1 @ SV18 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV18 ) )
= $true )
| ( ( ! [SY251: $i] :
( ~ ( m1_subset_1 @ SY251 @ ( u1_struct_0 @ SV18 ) )
| ( r1_group_3 @ SV18 @ SY251 @ SY251 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5905]) ).
thf(5991,plain,
! [SV92: $i,SV79: $i,SV19: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV19 )
| ~ ( v3_group_1 @ SV19 ) )
| ~ ( v4_group_1 @ SV19 ) )
| ~ ( l1_group_1 @ SV19 ) )
| ~ ( m1_subset_1 @ SV79 @ ( u1_struct_0 @ SV19 ) ) )
| ~ ( m1_subset_1 @ SV92 @ ( u1_struct_0 @ SV19 ) ) ) )
= $false )
| ( ( m1_subset_1 @ ( k2_group_3 @ SV19 @ SV79 @ SV92 ) @ ( u1_struct_0 @ SV19 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5906]) ).
thf(5992,plain,
! [SV21: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV21 )
| ~ ( v3_group_1 @ SV21 ) )
| ~ ( v4_group_1 @ SV21 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV21 ) )
= $true )
| ( ( ! [SY254: $i] :
( ~ ( m1_subset_1 @ SY254 @ ( u1_struct_0 @ SV21 ) )
| ! [SY255: $i] :
( ~ ( m1_subset_1 @ SY255 @ ( u1_struct_0 @ SV21 ) )
| ! [SY256: $i] :
( ~ ( m1_subset_1 @ SY256 @ ( u1_struct_0 @ SV21 ) )
| ~ ~ ( ~ ( r2_group_3 @ SV21 @ SY254 @ SY255 )
| ~ ( r2_group_3 @ SV21 @ SY255 @ SY256 ) )
| ( r2_group_3 @ SV21 @ SY254 @ SY256 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5907]) ).
thf(5993,plain,
! [SV22: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV22 )
| ~ ( v1_group_1 @ SV22 ) )
| ~ ( v3_group_1 @ SV22 ) )
| ~ ( v4_group_1 @ SV22 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV22 ) )
= $true )
| ( ( ! [SY257: $i] :
( ~ ~ ( ~ ( v1_group_1 @ SY257 )
| ~ ( m1_group_2 @ SY257 @ SV22 ) )
| ( ( u1_struct_0 @ SY257 )
!= ( u1_struct_0 @ SV22 ) )
| ( SY257 = SV22 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5908]) ).
thf(5994,plain,
! [SV23: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV23 )
| ~ ( v3_group_1 @ SV23 ) )
| ~ ( v4_group_1 @ SV23 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV23 ) )
= $true )
| ( ( ! [SY258: $i] :
( ~ ( m1_subset_1 @ SY258 @ ( u1_struct_0 @ SV23 ) )
| ! [SY259: $i] :
( ~ ( m1_subset_1 @ SY259 @ ( u1_struct_0 @ SV23 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV23 @ SY258 @ SY259 )
!= ( k1_group_1 @ SV23 @ SY259 @ SY258 ) )
| ( ( k3_group_1 @ SV23 @ ( k1_group_1 @ SV23 @ SY258 @ SY259 ) )
= ( k1_group_1 @ SV23 @ ( k3_group_1 @ SV23 @ SY258 ) @ ( k3_group_1 @ SV23 @ SY259 ) ) ) )
| ~ ( ( ( k3_group_1 @ SV23 @ ( k1_group_1 @ SV23 @ SY258 @ SY259 ) )
!= ( k1_group_1 @ SV23 @ ( k3_group_1 @ SV23 @ SY258 ) @ ( k3_group_1 @ SV23 @ SY259 ) ) )
| ( ( k1_group_1 @ SV23 @ SY258 @ SY259 )
= ( k1_group_1 @ SV23 @ SY259 @ SY258 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5909]) ).
thf(5995,plain,
! [SV24: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV24 )
| ~ ( v3_group_1 @ SV24 ) )
| ~ ( v4_group_1 @ SV24 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV24 ) )
= $true )
| ( ( ! [SY260: $i] :
( ~ ( m1_subset_1 @ SY260 @ ( u1_struct_0 @ SV24 ) )
| ~ ( ( ( k2_group_5 @ SV24 @ ( k2_group_1 @ SV24 ) @ SY260 )
!= ( k2_group_1 @ SV24 ) )
| ( ( k2_group_5 @ SV24 @ SY260 @ ( k2_group_1 @ SV24 ) )
!= ( k2_group_1 @ SV24 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5910]) ).
thf(5996,plain,
! [SV25: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV25 )
| ~ ( v3_group_1 @ SV25 ) )
| ~ ( v4_group_1 @ SV25 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV25 ) )
= $true )
| ( ( m1_group_2 @ SV25 @ SV25 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5911]) ).
thf(5997,plain,
! [SV26: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV26 )
| ~ ( v3_group_1 @ SV26 ) )
| ~ ( v4_group_1 @ SV26 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV26 ) )
= $true )
| ( ( ! [SY261: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY261 )
| ~ ( v3_group_1 @ SY261 ) )
| ~ ( v4_group_1 @ SY261 ) )
| ~ ( l1_group_1 @ SY261 ) )
| ! [SY262: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY262 )
| ~ ( v3_group_1 @ SY262 ) )
| ~ ( v4_group_1 @ SY262 ) )
| ~ ( l1_group_1 @ SY262 ) )
| ~ ~ ( ~ ( m1_group_2 @ SV26 @ SY261 )
| ~ ( m1_group_2 @ SY261 @ SY262 ) )
| ( m1_group_2 @ SV26 @ SY262 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5912]) ).
thf(5998,plain,
! [SV80: $i,SV27: $i] :
( ( ( ! [SY361: $i] :
~ ( m3_realset1 @ SY361 @ SV27 @ SV80 ) )
= $false )
| ( ( m1_subset_1 @ SV80 @ SV27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5913]) ).
thf(5999,plain,
! [SV28: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV28 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY265: $i] :
( ~ ( m1_subset_1 @ SY265 @ ( u1_struct_0 @ SV28 ) )
| ! [SY266: $i] :
( ~ ( m1_subset_1 @ SY266 @ ( u1_struct_0 @ SV28 ) )
| ! [SY267: $i] :
( ~ ( m1_subset_1 @ SY267 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ ( k1_group_1 @ SV28 @ SY265 @ SY266 ) @ SY267 )
= ( k1_group_1 @ SV28 @ SY265 @ ( k1_group_1 @ SV28 @ SY266 @ SY267 ) ) ) ) ) )
| ~ ! [SY268: $i] :
( ~ ( m1_subset_1 @ SY268 @ ( u1_struct_0 @ SV28 ) )
| ! [SY269: $i] :
( ~ ( m1_subset_1 @ SY269 @ ( u1_struct_0 @ SV28 ) )
| ~ ( ~ ~ ! [SY270: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY270 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY268 @ SY270 )
!= SY269 ) )
| ~ ~ ! [SY271: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY271 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY271 @ SY268 )
!= SY269 ) ) ) ) ) )
| ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5914]) ).
thf(6000,plain,
! [SV93: $i,SV81: $i,SV29: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV29 )
| ~ ( v3_group_1 @ SV29 ) )
| ~ ( v4_group_1 @ SV29 ) )
| ~ ( l1_group_1 @ SV29 ) )
| ~ ( m1_subset_1 @ SV81 @ ( u1_struct_0 @ SV29 ) ) )
| ~ ( m1_subset_1 @ SV93 @ ( u1_struct_0 @ SV29 ) ) ) )
= $false )
| ( ( m1_subset_1 @ ( k2_group_5 @ SV29 @ SV81 @ SV93 ) @ ( u1_struct_0 @ SV29 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5915]) ).
thf(6001,plain,
! [SV94: $i,SV82: $i,SV30: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV30 )
| ~ ( v3_group_1 @ SV30 ) )
| ~ ( v4_group_1 @ SV30 ) )
| ~ ( l1_group_1 @ SV30 ) )
| ~ ( m1_subset_1 @ SV82 @ ( u1_struct_0 @ SV30 ) ) )
| ~ ( m1_subset_1 @ SV94 @ ( u1_struct_0 @ SV30 ) ) ) )
= $false )
| ( ( r2_group_3 @ SV30 @ SV82 @ SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5916]) ).
thf(6002,plain,
( ( ~ ( l2_struct_0 @ sK4_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[5917]) ).
thf(6003,plain,
( ( ~ ~ ( v3_struct_0 @ sK4_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[5917]) ).
thf(6004,plain,
! [SV31: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV31 )
| ~ ( v3_group_1 @ SV31 ) )
| ~ ( v4_group_1 @ SV31 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV31 ) )
= $true )
| ( ( ! [SY276: $i] :
( ~ ( m1_subset_1 @ SY276 @ ( u1_struct_0 @ SV31 ) )
| ! [SY277: $i] :
( ~ ( m1_subset_1 @ SY277 @ ( u1_struct_0 @ SV31 ) )
| ( ( k3_group_1 @ SV31 @ SY276 )
!= ( k3_group_1 @ SV31 @ SY277 ) )
| ( SY276 = SY277 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5918]) ).
thf(6005,plain,
! [SV32: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV32 )
| ~ ( v3_group_1 @ SV32 ) )
| ~ ( v4_group_1 @ SV32 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV32 ) )
= $true )
| ( ( ! [SY278: $i] :
( ~ ( m1_subset_1 @ SY278 @ ( u1_struct_0 @ SV32 ) )
| ~ ( ( ( k2_group_5 @ SV32 @ SY278 @ ( k3_group_1 @ SV32 @ SY278 ) )
!= ( k2_group_1 @ SV32 ) )
| ( ( k2_group_5 @ SV32 @ ( k3_group_1 @ SV32 @ SY278 ) @ SY278 )
!= ( k2_group_1 @ SV32 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5919]) ).
thf(6006,plain,
! [SV33: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV33 )
| ~ ( v3_group_1 @ SV33 ) )
| ~ ( v4_group_1 @ SV33 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV33 ) )
= $true )
| ( ( ! [SY279: $i] :
( ~ ( m1_subset_1 @ SY279 @ ( u1_struct_0 @ SV33 ) )
| ! [SY280: $i] :
( ~ ( m1_subset_1 @ SY280 @ ( u1_struct_0 @ SV33 ) )
| ! [SY281: $i] :
( ~ ( m1_subset_1 @ SY281 @ ( u1_struct_0 @ SV33 ) )
| ( ( k2_group_3 @ SV33 @ SY279 @ SY280 )
!= ( k2_group_3 @ SV33 @ SY281 @ SY280 ) )
| ( SY279 = SY281 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5920]) ).
thf(6007,plain,
! [SV34: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV34 )
| ~ ( v3_group_1 @ SV34 ) )
| ~ ( v4_group_1 @ SV34 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV34 ) )
= $true )
| ( ( ! [SY282: $i] :
( ~ ( m1_subset_1 @ SY282 @ ( u1_struct_0 @ SV34 ) )
| ! [SY283: $i] :
( ~ ( m1_subset_1 @ SY283 @ ( u1_struct_0 @ SV34 ) )
| ~ ( ( ( k1_group_1 @ SV34 @ SY282 @ SY283 )
= ( k2_group_1 @ SV34 ) )
| ( ( k1_group_1 @ SV34 @ SY283 @ SY282 )
= ( k2_group_1 @ SV34 ) ) )
| ~ ( ( SY282
!= ( k3_group_1 @ SV34 @ SY283 ) )
| ( SY283
!= ( k3_group_1 @ SV34 @ SY282 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5921]) ).
thf(6008,plain,
! [SV83: $i,SV35: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV35 )
| ~ ( v3_group_1 @ SV35 ) )
| ~ ( v4_group_1 @ SV35 ) )
| ~ ( l1_group_1 @ SV35 ) )
| ~ ~ ( v3_struct_0 @ SV83 ) )
| ~ ( v3_group_1 @ SV83 ) )
| ~ ( v4_group_1 @ SV83 ) )
| ~ ( l1_group_1 @ SV83 ) )
= $true )
| ( ( r1_group_6 @ SV35 @ SV35 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5922]) ).
thf(6009,plain,
! [SV36: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV36 )
| ~ ( v3_group_1 @ SV36 ) )
| ~ ( v4_group_1 @ SV36 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV36 ) )
= $true )
| ( ( ! [SY285: $i] :
( ~ ( m1_subset_1 @ SY285 @ ( u1_struct_0 @ SV36 ) )
| ! [SY286: $i] :
( ~ ( m1_subset_1 @ SY286 @ ( u1_struct_0 @ SV36 ) )
| ! [SY287: $i] :
( ~ ( m1_subset_1 @ SY287 @ ( u1_struct_0 @ SV36 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV36 @ SY285 @ SY286 )
!= SY287 )
| ( SY285
= ( k1_group_1 @ SV36 @ SY287 @ ( k3_group_1 @ SV36 @ SY286 ) ) ) )
| ~ ( ( SY285
!= ( k1_group_1 @ SV36 @ SY287 @ ( k3_group_1 @ SV36 @ SY286 ) ) )
| ( ( k1_group_1 @ SV36 @ SY285 @ SY286 )
= SY287 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5923]) ).
thf(6010,plain,
! [SV37: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV37 )
| ~ ( v3_group_1 @ SV37 ) )
| ~ ( v4_group_1 @ SV37 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV37 ) )
= $true )
| ( ( ! [SY288: $i] :
( ~ ( m1_group_2 @ SY288 @ SV37 )
| ( v4_group_1 @ SY288 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5924]) ).
thf(6011,plain,
( ( ~ ~ ( ~ ~ ( ~ ( l1_group_1 @ sK5_SX0 )
| ~ ~ ( v3_struct_0 @ sK5_SX0 ) )
| ~ ( v4_group_1 @ sK5_SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[5925]) ).
thf(6012,plain,
( ( ~ ( v7_group_1 @ sK5_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[5925]) ).
thf(6013,plain,
! [SV38: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV38 )
| ~ ( v3_group_1 @ SV38 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV38 ) )
= $true )
| ( ( ! [SY289: $i] :
( ~ ( m1_group_2 @ SY289 @ SV38 )
| ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY289 )
| ~ ( v3_group_1 @ SY289 ) )
| ~ ( l1_group_1 @ SY289 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5926]) ).
thf(6014,plain,
! [SV40: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV40 )
| ~ ( v3_group_1 @ SV40 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( v3_struct_0 @ SV40 )
| ~ ( v2_group_1 @ SV40 ) ) )
= $true )
| ( ( l1_group_1 @ SV40 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5928]) ).
thf(6015,plain,
! [SV41: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV41 )
| ~ ( v3_group_1 @ SV41 ) )
| ~ ( v4_group_1 @ SV41 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV41 ) )
= $true )
| ( ( ! [SY291: $i] :
( ~ ( m1_subset_1 @ SY291 @ ( u1_struct_0 @ SV41 ) )
| ! [SY292: $i] :
( ~ ( m1_subset_1 @ SY292 @ ( u1_struct_0 @ SV41 ) )
| ( ( k3_group_1 @ SV41 @ ( k2_group_5 @ SV41 @ SY291 @ SY292 ) )
= ( k2_group_5 @ SV41 @ SY292 @ SY291 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5929]) ).
thf(6016,plain,
! [SV42: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV42 )
| ~ ( v3_group_1 @ SV42 ) )
| ~ ( v4_group_1 @ SV42 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV42 ) )
= $true )
| ( ( ! [SY293: $i] :
( ~ ( m1_subset_1 @ SY293 @ ( u1_struct_0 @ SV42 ) )
| ! [SY294: $i] :
( ~ ( m1_subset_1 @ SY294 @ ( u1_struct_0 @ SV42 ) )
| ( ( k3_group_5 @ SV42 @ SY293 @ SY293 @ SY294 )
= ( k2_group_1 @ SV42 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5930]) ).
thf(6017,plain,
! [SV43: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV43 )
| ~ ( v3_group_1 @ SV43 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV43 ) )
= $true )
| ( ( ! [SY295: $i] :
( ~ ( m1_subset_1 @ SY295 @ ( u1_struct_0 @ SV43 ) )
| ~ ! [SY296: $i] :
( ~ ( m1_subset_1 @ SY296 @ ( u1_struct_0 @ SV43 ) )
| ~ ( ( ( k1_group_1 @ SV43 @ SY296 @ SY295 )
!= SY296 )
| ( ( k1_group_1 @ SV43 @ SY295 @ SY296 )
!= SY296 ) ) )
| ( SY295
= ( k2_group_1 @ SV43 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5931]) ).
thf(6018,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( l1_group_1 @ sK6_SX0 )
| ~ ~ ( v3_struct_0 @ sK6_SX0 ) )
| ~ ( v1_group_1 @ sK6_SX0 ) )
| ~ ( v2_group_1 @ sK6_SX0 ) )
| ~ ( v3_group_1 @ sK6_SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[5932]) ).
thf(6019,plain,
( ( ~ ( v4_group_1 @ sK6_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[5932]) ).
thf(6020,plain,
! [SV44: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV44 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV44 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( v4_group_1 @ SV44 )
| ! [SY297: $i] :
( ~ ( m1_subset_1 @ SY297 @ ( u1_struct_0 @ SV44 ) )
| ! [SY298: $i] :
( ~ ( m1_subset_1 @ SY298 @ ( u1_struct_0 @ SV44 ) )
| ! [SY299: $i] :
( ~ ( m1_subset_1 @ SY299 @ ( u1_struct_0 @ SV44 ) )
| ( ( k1_group_1 @ SV44 @ ( k1_group_1 @ SV44 @ SY297 @ SY298 ) @ SY299 )
= ( k1_group_1 @ SV44 @ SY297 @ ( k1_group_1 @ SV44 @ SY298 @ SY299 ) ) ) ) ) ) )
| ~ ( ~ ! [SY300: $i] :
( ~ ( m1_subset_1 @ SY300 @ ( u1_struct_0 @ SV44 ) )
| ! [SY301: $i] :
( ~ ( m1_subset_1 @ SY301 @ ( u1_struct_0 @ SV44 ) )
| ! [SY302: $i] :
( ~ ( m1_subset_1 @ SY302 @ ( u1_struct_0 @ SV44 ) )
| ( ( k1_group_1 @ SV44 @ ( k1_group_1 @ SV44 @ SY300 @ SY301 ) @ SY302 )
= ( k1_group_1 @ SV44 @ SY300 @ ( k1_group_1 @ SV44 @ SY301 @ SY302 ) ) ) ) ) )
| ( v4_group_1 @ SV44 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5933]) ).
thf(6021,plain,
! [SV45: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV45 )
| ~ ( v3_group_1 @ SV45 ) )
| ~ ( v4_group_1 @ SV45 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV45 ) )
= $true )
| ( ( ! [SY303: $i] :
( ~ ( m1_subset_1 @ SY303 @ ( u1_struct_0 @ SV45 ) )
| ! [SY304: $i] :
( ~ ( m1_subset_1 @ SY304 @ ( u1_struct_0 @ SV45 ) )
| ( ( k3_group_1 @ SV45 @ ( k1_group_1 @ SV45 @ SY303 @ SY304 ) )
= ( k1_group_1 @ SV45 @ ( k3_group_1 @ SV45 @ SY304 ) @ ( k3_group_1 @ SV45 @ SY303 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5934]) ).
thf(6022,plain,
! [SV46: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV46 )
| ~ ( v1_group_1 @ SV46 ) )
| ~ ( v3_group_1 @ SV46 ) )
| ~ ( v4_group_1 @ SV46 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV46 ) )
= $true )
| ( ( ( k6_autgroup @ SV46 @ ( k2_group_1 @ SV46 ) )
= ( k6_partfun1 @ ( u1_struct_0 @ SV46 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5935]) ).
thf(6023,plain,
! [SV98: $i,SV95: $i,SV84: $i,SV47: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV47 )
| ~ ( v3_group_1 @ SV47 ) )
| ~ ( v4_group_1 @ SV47 ) )
| ~ ( l1_group_1 @ SV47 ) )
| ~ ( m1_subset_1 @ SV84 @ ( u1_struct_0 @ SV47 ) ) )
| ~ ( m1_subset_1 @ SV95 @ ( u1_struct_0 @ SV47 ) ) )
| ~ ( m1_subset_1 @ SV98 @ ( u1_struct_0 @ SV47 ) ) ) )
= $true )
| ( ( m1_subset_1 @ ( k3_group_5 @ SV47 @ SV84 @ SV95 @ SV98 ) @ ( u1_struct_0 @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5937]) ).
thf(6024,plain,
! [SV48: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV48 )
| ~ ( v3_group_1 @ SV48 ) )
| ~ ( v4_group_1 @ SV48 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV48 ) )
= $true )
| ( ( ! [SY308: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY308 )
| ~ ( v3_group_1 @ SY308 ) )
| ~ ( v4_group_1 @ SY308 ) )
| ~ ( l1_group_1 @ SY308 ) )
| ! [SY309: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY309 )
| ~ ( v3_group_1 @ SY309 ) )
| ~ ( v4_group_1 @ SY309 ) )
| ~ ( l1_group_1 @ SY309 ) )
| ~ ~ ( ~ ( r1_group_6 @ SV48 @ SY308 )
| ~ ( r1_group_6 @ SY308 @ SY309 ) )
| ( r1_group_6 @ SV48 @ SY309 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5938]) ).
thf(6025,plain,
! [SV85: $i,SV49: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV49 )
| ~ ( v3_group_1 @ SV49 ) )
| ~ ( v4_group_1 @ SV49 ) )
| ~ ( l1_group_1 @ SV49 ) )
| ~ ( m1_subset_1 @ SV85 @ ( u1_struct_0 @ SV49 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k3_group_1 @ SV49 @ SV85 ) @ ( u1_struct_0 @ SV49 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5939]) ).
thf(6026,plain,
! [SV50: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV50 )
| ~ ( v3_group_1 @ SV50 ) )
| ~ ( v4_group_1 @ SV50 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV50 ) )
= $true )
| ( ( ( k3_group_1 @ SV50 @ ( k2_group_1 @ SV50 ) )
= ( k2_group_1 @ SV50 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5940]) ).
thf(6027,plain,
! [SV96: $i,SV86: $i,SV51: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV51 )
| ~ ( v3_group_1 @ SV51 ) )
| ~ ( v4_group_1 @ SV51 ) )
| ~ ( l1_group_1 @ SV51 ) )
| ~ ( m1_subset_1 @ SV86 @ ( u1_struct_0 @ SV51 ) ) )
| ~ ( m1_subset_1 @ SV96 @ ( u1_struct_0 @ SV51 ) ) ) )
= $false )
| ( ( ~ ( r2_group_3 @ SV51 @ SV86 @ SV96 )
| ( r2_group_3 @ SV51 @ SV96 @ SV86 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5941]) ).
thf(6028,plain,
! [SV52: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV52 )
| ~ ( v1_group_1 @ SV52 ) )
| ~ ( v3_group_1 @ SV52 ) )
| ~ ( v4_group_1 @ SV52 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV52 ) )
= $true )
| ( ( ! [SY313: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY313 )
| ~ ( v1_group_1 @ SY313 ) )
| ~ ( v3_group_1 @ SY313 ) )
| ~ ( v4_group_1 @ SY313 ) )
| ~ ( l1_group_1 @ SY313 ) )
| ~ ( r1_group_6 @ SV52 @ SY313 )
| ( r1_group_6 @ SY313 @ SV52 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5942]) ).
thf(6029,plain,
! [SV53: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV53 )
| ~ ( v3_group_1 @ SV53 ) )
| ~ ( v4_group_1 @ SV53 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV53 ) )
= $true )
| ( ( ! [SY314: $i] :
( ~ ( m1_group_2 @ SY314 @ SV53 )
| ( ( k2_group_1 @ SY314 )
= ( k2_group_1 @ SV53 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5943]) ).
thf(6030,plain,
! [SV54: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV54 )
| ~ ( v3_group_1 @ SV54 ) )
| ~ ( v4_group_1 @ SV54 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV54 ) )
= $true )
| ( ( ! [SY315: $i] :
( ~ ( m1_subset_1 @ SY315 @ ( u1_struct_0 @ SV54 ) )
| ! [SY316: $i] :
( ~ ( m1_subset_1 @ SY316 @ ( u1_struct_0 @ SV54 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV54 @ SY315 @ SY316 )
!= ( k1_group_1 @ SV54 @ SY316 @ SY315 ) )
| ( ( k1_group_1 @ SV54 @ SY315 @ ( k3_group_1 @ SV54 @ SY316 ) )
= ( k1_group_1 @ SV54 @ ( k3_group_1 @ SV54 @ SY316 ) @ SY315 ) ) )
| ~ ( ( ( k1_group_1 @ SV54 @ SY315 @ ( k3_group_1 @ SV54 @ SY316 ) )
!= ( k1_group_1 @ SV54 @ ( k3_group_1 @ SV54 @ SY316 ) @ SY315 ) )
| ( ( k1_group_1 @ SV54 @ SY315 @ SY316 )
= ( k1_group_1 @ SV54 @ SY316 @ SY315 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5944]) ).
thf(6031,plain,
! [SV55: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV55 )
| ~ ( v3_group_1 @ SV55 ) )
| ~ ( v4_group_1 @ SV55 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV55 ) )
= $true )
| ( ( ! [SY317: $i] :
( ~ ( m1_subset_1 @ SY317 @ ( u1_struct_0 @ SV55 ) )
| ! [SY318: $i] :
( ~ ( m1_group_2 @ SY318 @ SV55 )
| ! [SY319: $i] :
( ~ ( m1_subset_1 @ SY319 @ ( u1_struct_0 @ SY318 ) )
| ( SY319 != SY317 )
| ( ( k3_group_1 @ SY318 @ SY319 )
= ( k3_group_1 @ SV55 @ SY317 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5945]) ).
thf(6032,plain,
! [SV56: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV56 )
| ~ ( v3_group_1 @ SV56 ) )
| ~ ( v4_group_1 @ SV56 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV56 ) )
= $true )
| ( ( ! [SY320: $i] :
( ~ ( m1_subset_1 @ SY320 @ ( u1_struct_0 @ SV56 ) )
| ! [SY321: $i] :
( ~ ( m1_subset_1 @ SY321 @ ( u1_struct_0 @ SV56 ) )
| ~ ~ ( ( ( k1_group_1 @ SV56 @ SY320 @ SY321 )
!= ( k2_group_1 @ SV56 ) )
| ( ( k1_group_1 @ SV56 @ SY321 @ SY320 )
!= ( k2_group_1 @ SV56 ) ) )
| ( SY321
= ( k3_group_1 @ SV56 @ SY320 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5946]) ).
thf(6033,plain,
! [SV57: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV57 )
| ~ ( v3_group_1 @ SV57 ) )
| ~ ( v4_group_1 @ SV57 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV57 ) )
= $true )
| ( ( ! [SY322: $i] :
( ~ ( m1_subset_1 @ SY322 @ ( u1_struct_0 @ SV57 ) )
| ( ( k2_group_3 @ SV57 @ SY322 @ SY322 )
= SY322 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5947]) ).
thf(6034,plain,
! [SV58: $i,SV99: $i] :
( ( ( ~ ( m1_subset_1 @ SV99 @ SV58 )
| ( SV99
= ( k8_subset_1 @ SV58 ) ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5948]) ).
thf(6035,plain,
! [SV59: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV59 )
| ~ ( v3_group_1 @ SV59 ) )
| ~ ( v4_group_1 @ SV59 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV59 ) )
= $true )
| ( ( ! [SY324: $i] :
( ~ ( m1_subset_1 @ SY324 @ ( u1_struct_0 @ SV59 ) )
| ! [SY325: $i] :
( ~ ( m1_subset_1 @ SY325 @ ( u1_struct_0 @ SV59 ) )
| ~ ! [SY326: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY326 @ ( u1_struct_0 @ SV59 ) )
| ( ( k1_group_1 @ SV59 @ SY324 @ SY326 )
!= SY325 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5949]) ).
thf(6036,plain,
! [SV60: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV60 )
| ~ ( v3_group_1 @ SV60 ) )
| ~ ( v4_group_1 @ SV60 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV60 ) )
= $true )
| ( ( ! [SY327: $i] :
( ~ ( m1_subset_1 @ SY327 @ ( u1_struct_0 @ SV60 ) )
| ! [SY328: $i] :
( ~ ( m1_subset_1 @ SY328 @ ( u1_struct_0 @ SV60 ) )
| ~ ( ~ ( ( SY328
!= ( k3_group_1 @ SV60 @ SY327 ) )
| ~ ( ( ( k1_group_1 @ SV60 @ SY327 @ SY328 )
!= ( k2_group_1 @ SV60 ) )
| ( ( k1_group_1 @ SV60 @ SY328 @ SY327 )
!= ( k2_group_1 @ SV60 ) ) ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV60 @ SY327 @ SY328 )
!= ( k2_group_1 @ SV60 ) )
| ( ( k1_group_1 @ SV60 @ SY328 @ SY327 )
!= ( k2_group_1 @ SV60 ) ) )
| ( SY328
= ( k3_group_1 @ SV60 @ SY327 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5950]) ).
thf(6037,plain,
! [SV87: $i,SV61: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV61 )
| ~ ( v1_group_1 @ SV61 ) )
| ~ ( v3_group_1 @ SV61 ) )
| ~ ( v4_group_1 @ SV61 ) )
| ~ ( l1_group_1 @ SV61 ) )
| ~ ~ ( v3_struct_0 @ SV87 ) )
| ~ ( v1_group_1 @ SV87 ) )
| ~ ( v3_group_1 @ SV87 ) )
| ~ ( v4_group_1 @ SV87 ) )
| ~ ( l1_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( r2_group_6 @ SV61 @ SV87 )
| ( r2_group_6 @ SV87 @ SV61 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5951]) ).
thf(6038,plain,
! [SV62: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV62 )
| ~ ( v1_group_1 @ SV62 ) )
| ~ ( v3_group_1 @ SV62 ) )
| ~ ( v4_group_1 @ SV62 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV62 ) )
= $true )
| ( ( ! [SY330: $i] :
( ~ ( m1_subset_1 @ SY330 @ ( u1_struct_0 @ SV62 ) )
| ( ( k8_funct_2 @ ( u1_struct_0 @ SV62 ) @ ( u1_struct_0 @ SV62 ) @ ( k6_autgroup @ SV62 @ ( k2_group_1 @ SV62 ) ) @ SY330 )
= SY330 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5952]) ).
thf(6039,plain,
( ( ~ ( l1_funcsdom @ sK8_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[5953]) ).
thf(6040,plain,
( ( ~ ~ ( v3_struct_0 @ sK8_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[5953]) ).
thf(6041,plain,
( ( ~ ( l1_group_1 @ sK9_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[5954]) ).
thf(6042,plain,
( ( ~ ( v1_group_1 @ sK9_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[5954]) ).
thf(6043,plain,
! [SV97: $i,SV88: $i,SV63: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV63 )
| ~ ( l1_group_1 @ SV63 ) )
| ~ ( m1_subset_1 @ SV88 @ ( u1_struct_0 @ SV63 ) ) )
| ~ ( m1_subset_1 @ SV97 @ ( u1_struct_0 @ SV63 ) ) ) )
= $false )
| ( ( m1_subset_1 @ ( k1_group_1 @ SV63 @ SV88 @ SV97 ) @ ( u1_struct_0 @ SV63 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5955]) ).
thf(6044,plain,
! [SV64: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV64 )
| ~ ( v3_group_1 @ SV64 ) )
| ~ ( v4_group_1 @ SV64 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV64 ) )
= $true )
| ( ( ! [SY333: $i] :
( ~ ( m1_subset_1 @ SY333 @ ( u1_struct_0 @ SV64 ) )
| ( ( k2_group_5 @ SV64 @ SY333 @ SY333 )
= ( k2_group_1 @ SV64 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5956]) ).
thf(6045,plain,
! [SV66: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV66 )
| ~ ( v3_group_1 @ SV66 ) )
| ~ ( v4_group_1 @ SV66 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV66 ) )
= $true )
| ( ( ! [SY335: $i] :
( ~ ( m1_subset_1 @ SY335 @ ( u1_struct_0 @ SV66 ) )
| ! [SY336: $i] :
( ~ ( m1_subset_1 @ SY336 @ ( u1_struct_0 @ SV66 ) )
| ~ ( r1_group_3 @ SV66 @ SY335 @ SY336 )
| ( r1_group_3 @ SV66 @ SY336 @ SY335 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5958]) ).
thf(6046,plain,
! [SV67: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV67 )
| ~ ( v3_group_1 @ SV67 ) )
| ~ ( v4_group_1 @ SV67 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV67 ) )
= $true )
| ( ( ! [SY337: $i] :
( ~ ( m1_subset_1 @ SY337 @ ( u1_struct_0 @ SV67 ) )
| ( ( k3_group_1 @ SV67 @ ( k3_group_1 @ SV67 @ SY337 ) )
= SY337 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5959]) ).
thf(6047,plain,
! [SV68: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV68 )
| ~ ( v3_group_1 @ SV68 ) )
| ~ ( v4_group_1 @ SV68 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV68 ) )
= $true )
| ( ( ! [SY338: $i] :
( ~ ( m1_subset_1 @ SY338 @ ( u1_struct_0 @ SV68 ) )
| ( ( k2_group_3 @ SV68 @ SY338 @ ( k2_group_1 @ SV68 ) )
= SY338 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5960]) ).
thf(6048,plain,
! [SV100: $i,SV90: $i,SV69: $i] :
( ( ( ! [SY371: $i] :
( ( ( g2_struct_0 @ SV69 @ SV90 )
!= ( g2_struct_0 @ SV100 @ SY371 ) )
| ~ ( ( SV69 != SV100 )
| ( SV90 != SY371 ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV90 @ SV69 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5961]) ).
thf(6049,plain,
! [SV70: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV70 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV70 ) )
= $true )
| ( ( ~ ! [SY342: $i] :
( ~ ( m1_subset_1 @ SY342 @ ( u1_struct_0 @ SV70 ) )
| ! [SY343: $i] :
( ~ ( m1_subset_1 @ SY343 @ ( u1_struct_0 @ SV70 ) )
| ! [SY344: $i] :
( ~ ( m1_subset_1 @ SY344 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ SY342 @ SY343 ) @ SY344 )
= ( k1_group_1 @ SV70 @ SY342 @ ( k1_group_1 @ SV70 @ SY343 @ SY344 ) ) ) ) ) )
| ! [SY345: $i] :
( ~ ( m1_subset_1 @ SY345 @ ( u1_struct_0 @ SV70 ) )
| ~ ! [SY346: $i] :
( ~ ( m1_subset_1 @ SY346 @ ( u1_struct_0 @ SV70 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV70 @ SY346 @ SY345 )
!= SY346 )
| ( ( k1_group_1 @ SV70 @ SY345 @ SY346 )
!= SY346 ) )
| ~ ~ ! [SY347: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY347 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ SY346 @ SY347 )
!= SY345 ) )
| ( ( k1_group_1 @ SV70 @ SY347 @ SY346 )
!= SY345 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5962]) ).
thf(6050,plain,
! [SV71: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV71 )
| ~ ( v3_group_1 @ SV71 ) )
| ~ ( v4_group_1 @ SV71 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV71 ) )
= $true )
| ( ( ! [SY348: $i] :
( ~ ( m1_subset_1 @ SY348 @ ( u1_struct_0 @ SV71 ) )
| ! [SY349: $i] :
( ~ ( m1_subset_1 @ SY349 @ ( u1_struct_0 @ SV71 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SY348 @ SY349 ) @ ( k3_group_1 @ SV71 @ SY349 ) )
!= SY348 )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SY348 @ ( k3_group_1 @ SV71 @ SY349 ) ) @ SY349 )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY349 ) @ SY349 ) @ SY348 )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SY349 @ ( k3_group_1 @ SV71 @ SY349 ) ) @ SY348 )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ SY348 @ ( k1_group_1 @ SV71 @ SY349 @ ( k3_group_1 @ SV71 @ SY349 ) ) )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ SY348 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY349 ) @ SY349 ) )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY349 ) @ ( k1_group_1 @ SV71 @ SY349 @ SY348 ) )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ SY349 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY349 ) @ SY348 ) )
!= SY348 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5963]) ).
thf(6051,plain,
! [SV91: $i,SV72: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV72 )
| ~ ( v1_group_1 @ SV72 ) )
| ~ ( v3_group_1 @ SV72 ) )
| ~ ( v4_group_1 @ SV72 ) )
| ~ ( l1_group_1 @ SV72 ) )
| ~ ~ ( v3_struct_0 @ SV91 ) )
| ~ ( v1_group_1 @ SV91 ) )
| ~ ( v3_group_1 @ SV91 ) )
| ~ ( v4_group_1 @ SV91 ) )
| ~ ( l1_group_1 @ SV91 ) )
= $true )
| ( ( r2_group_6 @ SV72 @ SV72 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5964]) ).
thf(6052,plain,
! [SV73: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV73 )
| ~ ( v3_group_1 @ SV73 ) )
| ~ ( v4_group_1 @ SV73 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV73 ) )
= $true )
| ( ( ! [SY351: $i] :
( ~ ( m1_subset_1 @ SY351 @ ( u1_struct_0 @ SV73 ) )
| ~ ( ( ( k2_group_3 @ SV73 @ SY351 @ ( k3_group_1 @ SV73 @ SY351 ) )
!= SY351 )
| ( ( k2_group_3 @ SV73 @ ( k3_group_1 @ SV73 @ SY351 ) @ SY351 )
!= ( k3_group_1 @ SV73 @ SY351 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5965]) ).
thf(6053,plain,
! [SV74: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV74 )
| ~ ( v3_group_1 @ SV74 ) )
| ~ ( v4_group_1 @ SV74 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV74 ) )
= $true )
| ( ( ! [SY352: $i] :
( ~ ( m1_subset_1 @ SY352 @ ( u1_struct_0 @ SV74 ) )
| ! [SY353: $i] :
( ~ ( m1_subset_1 @ SY353 @ ( u1_struct_0 @ SV74 ) )
| ! [SY354: $i] :
( ~ ( m1_subset_1 @ SY354 @ ( u1_struct_0 @ SV74 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV74 @ SY352 @ SY353 )
!= SY354 )
| ( SY353
= ( k1_group_1 @ SV74 @ ( k3_group_1 @ SV74 @ SY352 ) @ SY354 ) ) )
| ~ ( ( SY353
!= ( k1_group_1 @ SV74 @ ( k3_group_1 @ SV74 @ SY352 ) @ SY354 ) )
| ( ( k1_group_1 @ SV74 @ SY352 @ SY353 )
= SY354 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5966]) ).
thf(6054,plain,
! [SV75: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV75 )
| ~ ( v3_group_1 @ SV75 ) )
| ~ ( v4_group_1 @ SV75 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV75 ) )
= $true )
| ( ( ! [SY355: $i] :
( ~ ( m1_subset_1 @ SY355 @ ( u1_struct_0 @ SV75 ) )
| ( ( k3_group_1 @ SV75 @ SY355 )
!= ( k2_group_1 @ SV75 ) )
| ( SY355
= ( k2_group_1 @ SV75 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5967]) ).
thf(6055,plain,
( ( ~ ~ ( ~ ( l1_group_1 @ sK10_SX0 )
| ~ ~ ( v3_struct_0 @ sK10_SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[5968]) ).
thf(6056,plain,
( ( ~ ( v1_group_1 @ sK10_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[5968]) ).
thf(6057,plain,
! [SV76: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV76 )
| ~ ( v3_group_1 @ SV76 ) )
| ~ ( v4_group_1 @ SV76 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV76 ) )
= $true )
| ( ( ~ ( v5_group_1 @ ( k2_group_1 @ SV76 ) @ SV76 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5969]) ).
thf(6058,plain,
! [SV77: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV77 )
| ~ ( v3_group_1 @ SV77 ) )
| ~ ( v4_group_1 @ SV77 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV77 ) )
= $true )
| ( ( ! [SY356: $i] :
( ~ ( m1_subset_1 @ SY356 @ ( u1_struct_0 @ SV77 ) )
| ! [SY357: $i] :
( ~ ( m1_subset_1 @ SY357 @ ( u1_struct_0 @ SV77 ) )
| ~ ! [SY358: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY358 @ ( u1_struct_0 @ SV77 ) )
| ( ( k1_group_1 @ SV77 @ SY358 @ SY356 )
!= SY357 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5970]) ).
thf(6059,plain,
! [SV78: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV78 )
| ~ ( v3_group_1 @ SV78 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV78 ) )
= $true )
| ( ( ~ ! [SY359: $i] :
~ ( m1_group_2 @ SY359 @ SV78 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5971]) ).
thf(6060,plain,
( ( ~ ( l2_rlvect_1 @ sK11_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[5972]) ).
thf(6061,plain,
( ( ~ ~ ( v3_struct_0 @ sK11_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[5972]) ).
thf(6062,plain,
( ( l1_struct_0 @ sK2_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[5973]) ).
thf(6063,plain,
( ( ~ ( v3_struct_0 @ sK2_SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[5974]) ).
thf(6064,plain,
! [SV2: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV2 )
| ~ ( v1_group_1 @ SV2 ) )
| ~ ( v3_group_1 @ SV2 ) )
| ~ ( v4_group_1 @ SV2 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV2 ) )
= $true )
| ( ( ! [SY222: $i] :
( ~ ( m1_subset_1 @ SY222 @ ( u1_struct_0 @ SV2 ) )
| ! [SY223: $i] :
( ~ ( m1_subset_1 @ SY223 @ ( u1_struct_0 @ SV2 ) )
| ( ( k6_autgroup @ SV2 @ ( k1_group_1 @ SV2 @ SY222 @ SY223 ) )
= ( k7_funct_2 @ ( u1_struct_0 @ SV2 ) @ ( u1_struct_0 @ SV2 ) @ ( u1_struct_0 @ SV2 ) @ ( k6_autgroup @ SV2 @ SY222 ) @ ( k6_autgroup @ SV2 @ SY223 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5975]) ).
thf(6065,plain,
! [SV3: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV3 )
| ~ ( v3_group_1 @ SV3 ) )
| ~ ( v4_group_1 @ SV3 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV3 ) )
= $true )
| ( ( ! [SY224: $i] :
( ~ ( m1_subset_1 @ SY224 @ ( u1_struct_0 @ SV3 ) )
| ! [SY225: $i] :
( ~ ( m1_subset_1 @ SY225 @ ( u1_struct_0 @ SV3 ) )
| ~ ( ( ( k1_group_1 @ SV3 @ SY224 @ SY225 )
= SY224 )
| ( ( k1_group_1 @ SV3 @ SY225 @ SY224 )
= SY224 ) )
| ( SY225
= ( k2_group_1 @ SV3 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5976]) ).
thf(6066,plain,
! [SV4: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV4 )
| ~ ( v3_group_1 @ SV4 ) )
| ~ ( v4_group_1 @ SV4 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV4 ) )
= $true )
| ( ( ! [SY226: $i] :
( ~ ( m1_group_2 @ SY226 @ SV4 )
| ! [SY227: $i] :
( ~ ( m1_group_2 @ SY227 @ SV4 )
| ( ( k2_group_1 @ SY226 )
= ( k2_group_1 @ SY227 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5977]) ).
thf(6067,plain,
! [SV5: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV5 )
| ~ ( v3_group_1 @ SV5 ) )
| ~ ( v4_group_1 @ SV5 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV5 ) )
= $true )
| ( ( ! [SY228: $i] :
( ~ ( m1_subset_1 @ SY228 @ ( u1_struct_0 @ SV5 ) )
| ! [SY229: $i] :
( ~ ( m1_subset_1 @ SY229 @ ( u1_struct_0 @ SV5 ) )
| ~ ( ( ( k2_group_3 @ SV5 @ ( k2_group_3 @ SV5 @ SY228 @ SY229 ) @ ( k3_group_1 @ SV5 @ SY229 ) )
!= SY228 )
| ( ( k2_group_3 @ SV5 @ ( k2_group_3 @ SV5 @ SY228 @ ( k3_group_1 @ SV5 @ SY229 ) ) @ SY229 )
!= SY228 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5978]) ).
thf(6068,plain,
! [SV6: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV6 )
| ~ ( v3_group_1 @ SV6 ) )
| ~ ( v4_group_1 @ SV6 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV6 ) )
= $true )
| ( ( ! [SY230: $i] :
( ~ ( m1_subset_1 @ SY230 @ ( u1_struct_0 @ SV6 ) )
| ( ( k2_group_3 @ SV6 @ ( k2_group_1 @ SV6 ) @ SY230 )
= ( k2_group_1 @ SV6 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5979]) ).
thf(6069,plain,
! [SV7: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV7 )
| ~ ( v3_group_1 @ SV7 ) )
| ~ ( v4_group_1 @ SV7 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV7 ) )
= $true )
| ( ( ! [SY231: $i] :
( ~ ( m1_subset_1 @ SY231 @ ( u1_struct_0 @ SV7 ) )
| ~ ( ( r2_group_3 @ SV7 @ SY231 @ ( k2_group_1 @ SV7 ) )
| ( r2_group_3 @ SV7 @ ( k2_group_1 @ SV7 ) @ SY231 ) )
| ( SY231
= ( k2_group_1 @ SV7 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5980]) ).
thf(6070,plain,
! [SV8: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV8 )
| ~ ( v3_group_1 @ SV8 ) )
| ~ ( v4_group_1 @ SV8 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV8 ) )
= $true )
| ( ( ! [SY232: $i] :
( ~ ( m1_subset_1 @ SY232 @ ( u1_struct_0 @ SV8 ) )
| ! [SY233: $i] :
( ~ ( m1_subset_1 @ SY233 @ ( u1_struct_0 @ SV8 ) )
| ! [SY234: $i] :
( ~ ( m1_subset_1 @ SY234 @ ( u1_struct_0 @ SV8 ) )
| ~ ( ( ( k1_group_1 @ SV8 @ SY232 @ SY233 )
= ( k1_group_1 @ SV8 @ SY232 @ SY234 ) )
| ( ( k1_group_1 @ SV8 @ SY233 @ SY232 )
= ( k1_group_1 @ SV8 @ SY234 @ SY232 ) ) )
| ( SY233 = SY234 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5981]) ).
thf(6071,plain,
! [SV9: $i] :
( ( ( ~ ( v3_struct_0 @ SV9 ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV9 ) )
= $true )
| ( ( m1_subset_1 @ ( k2_group_1 @ SV9 ) @ ( u1_struct_0 @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5982]) ).
thf(6072,plain,
! [SV10: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV10 )
| ~ ( v3_group_1 @ SV10 ) )
| ~ ( v4_group_1 @ SV10 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV10 ) )
= $true )
| ( ( ! [SY235: $i] :
( ~ ( m1_subset_1 @ SY235 @ ( u1_struct_0 @ SV10 ) )
| ! [SY236: $i] :
( ~ ( m1_subset_1 @ SY236 @ ( u1_struct_0 @ SV10 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV10 @ SY235 @ SY236 )
!= ( k1_group_1 @ SV10 @ SY236 @ SY235 ) )
| ( ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY235 ) @ ( k3_group_1 @ SV10 @ SY236 ) )
= ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY236 ) @ ( k3_group_1 @ SV10 @ SY235 ) ) ) )
| ~ ( ( ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY235 ) @ ( k3_group_1 @ SV10 @ SY236 ) )
!= ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY236 ) @ ( k3_group_1 @ SV10 @ SY235 ) ) )
| ( ( k1_group_1 @ SV10 @ SY235 @ SY236 )
= ( k1_group_1 @ SV10 @ SY236 @ SY235 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5983]) ).
thf(6073,plain,
! [SV11: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV11 )
| ~ ( v1_group_1 @ SV11 ) )
| ~ ( v3_group_1 @ SV11 ) )
| ~ ( v4_group_1 @ SV11 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV11 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k3_autgroup @ SV11 ) )
| ~ ( v1_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( v3_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( v4_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( l1_group_1 @ ( k3_autgroup @ SV11 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5984]) ).
thf(6074,plain,
! [SV12: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV12 )
| ~ ( v3_group_1 @ SV12 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV12 ) )
= $true )
| ( ( ! [SY237: $i] :
( ~ ( m1_group_2 @ SY237 @ SV12 )
| ! [SY238: $i] :
( ~ ( m1_subset_1 @ SY238 @ ( u1_struct_0 @ SY237 ) )
| ( m1_subset_1 @ SY238 @ ( u1_struct_0 @ SV12 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5985]) ).
thf(6075,plain,
! [SV13: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV13 )
| ~ ( v3_group_1 @ SV13 ) )
| ~ ( v4_group_1 @ SV13 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV13 ) )
= $true )
| ( ( ! [SY239: $i] :
( ~ ( m1_subset_1 @ SY239 @ ( u1_struct_0 @ SV13 ) )
| ! [SY240: $i] :
( ~ ( m1_subset_1 @ SY240 @ ( u1_struct_0 @ SV13 ) )
| ~ ( ~ ~ ( ( ( k3_group_5 @ SV13 @ SY239 @ SY240 @ ( k2_group_1 @ SV13 ) )
!= ( k2_group_1 @ SV13 ) )
| ( ( k3_group_5 @ SV13 @ SY239 @ ( k2_group_1 @ SV13 ) @ SY240 )
!= ( k2_group_1 @ SV13 ) ) )
| ( ( k3_group_5 @ SV13 @ ( k2_group_1 @ SV13 ) @ SY239 @ SY240 )
!= ( k2_group_1 @ SV13 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5986]) ).
thf(6076,plain,
! [SV15: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV15 )
| ~ ( v3_group_1 @ SV15 ) )
| ~ ( v4_group_1 @ SV15 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV15 ) )
= $true )
| ( ( ! [SY241: $i] :
( ~ ( m1_subset_1 @ SY241 @ ( u1_struct_0 @ SV15 ) )
| ! [SY242: $i] :
( ~ ( m1_subset_1 @ SY242 @ ( u1_struct_0 @ SV15 ) )
| ( ( k2_group_3 @ SV15 @ ( k3_group_1 @ SV15 @ SY241 ) @ SY242 )
= ( k3_group_1 @ SV15 @ ( k2_group_3 @ SV15 @ SY241 @ SY242 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5987]) ).
thf(6077,plain,
! [SV16: $i] :
( ( ( ~ ( v3_struct_0 @ SV16 ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV16 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( v3_group_1 @ SV16 )
| ~ ! [SY243: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY243 @ ( u1_struct_0 @ SV16 ) )
| ~ ! [SY244: $i] :
( ~ ( m1_subset_1 @ SY244 @ ( u1_struct_0 @ SV16 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV16 @ SY244 @ SY243 )
!= SY244 )
| ( ( k1_group_1 @ SV16 @ SY243 @ SY244 )
!= SY244 ) )
| ~ ~ ! [SY245: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY245 @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ SY244 @ SY245 )
!= SY243 ) )
| ( ( k1_group_1 @ SV16 @ SY245 @ SY244 )
!= SY243 ) ) ) ) ) )
| ~ ( ~ ~ ! [SY246: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY246 @ ( u1_struct_0 @ SV16 ) )
| ~ ! [SY247: $i] :
( ~ ( m1_subset_1 @ SY247 @ ( u1_struct_0 @ SV16 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV16 @ SY247 @ SY246 )
!= SY247 )
| ( ( k1_group_1 @ SV16 @ SY246 @ SY247 )
!= SY247 ) )
| ~ ~ ! [SY248: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY248 @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ SY247 @ SY248 )
!= SY246 ) )
| ( ( k1_group_1 @ SV16 @ SY248 @ SY247 )
!= SY246 ) ) ) ) )
| ( v3_group_1 @ SV16 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5988]) ).
thf(6078,plain,
! [SV17: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV17 )
| ~ ( v3_group_1 @ SV17 ) )
| ~ ( v4_group_1 @ SV17 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV17 ) )
= $true )
| ( ( ! [SY249: $i] :
( ~ ( m1_subset_1 @ SY249 @ ( u1_struct_0 @ SV17 ) )
| ! [SY250: $i] :
( ~ ( m1_subset_1 @ SY250 @ ( u1_struct_0 @ SV17 ) )
| ( ( k2_group_3 @ SV17 @ SY249 @ SY250 )
!= ( k2_group_1 @ SV17 ) )
| ( SY249
= ( k2_group_1 @ SV17 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5989]) ).
thf(6079,plain,
! [SV18: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV18 )
| ~ ( v3_group_1 @ SV18 ) )
| ~ ( v4_group_1 @ SV18 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV18 ) )
= $true )
| ( ( ! [SY251: $i] :
( ~ ( m1_subset_1 @ SY251 @ ( u1_struct_0 @ SV18 ) )
| ( r1_group_3 @ SV18 @ SY251 @ SY251 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5990]) ).
thf(6080,plain,
! [SV92: $i,SV79: $i,SV19: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV19 )
| ~ ( v3_group_1 @ SV19 ) )
| ~ ( v4_group_1 @ SV19 ) )
| ~ ( l1_group_1 @ SV19 ) )
| ~ ( m1_subset_1 @ SV79 @ ( u1_struct_0 @ SV19 ) ) )
| ~ ( m1_subset_1 @ SV92 @ ( u1_struct_0 @ SV19 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k2_group_3 @ SV19 @ SV79 @ SV92 ) @ ( u1_struct_0 @ SV19 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5991]) ).
thf(6081,plain,
! [SV21: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV21 )
| ~ ( v3_group_1 @ SV21 ) )
| ~ ( v4_group_1 @ SV21 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV21 ) )
= $true )
| ( ( ! [SY254: $i] :
( ~ ( m1_subset_1 @ SY254 @ ( u1_struct_0 @ SV21 ) )
| ! [SY255: $i] :
( ~ ( m1_subset_1 @ SY255 @ ( u1_struct_0 @ SV21 ) )
| ! [SY256: $i] :
( ~ ( m1_subset_1 @ SY256 @ ( u1_struct_0 @ SV21 ) )
| ~ ~ ( ~ ( r2_group_3 @ SV21 @ SY254 @ SY255 )
| ~ ( r2_group_3 @ SV21 @ SY255 @ SY256 ) )
| ( r2_group_3 @ SV21 @ SY254 @ SY256 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5992]) ).
thf(6082,plain,
! [SV22: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV22 )
| ~ ( v1_group_1 @ SV22 ) )
| ~ ( v3_group_1 @ SV22 ) )
| ~ ( v4_group_1 @ SV22 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV22 ) )
= $true )
| ( ( ! [SY257: $i] :
( ~ ~ ( ~ ( v1_group_1 @ SY257 )
| ~ ( m1_group_2 @ SY257 @ SV22 ) )
| ( ( u1_struct_0 @ SY257 )
!= ( u1_struct_0 @ SV22 ) )
| ( SY257 = SV22 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5993]) ).
thf(6083,plain,
! [SV23: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV23 )
| ~ ( v3_group_1 @ SV23 ) )
| ~ ( v4_group_1 @ SV23 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV23 ) )
= $true )
| ( ( ! [SY258: $i] :
( ~ ( m1_subset_1 @ SY258 @ ( u1_struct_0 @ SV23 ) )
| ! [SY259: $i] :
( ~ ( m1_subset_1 @ SY259 @ ( u1_struct_0 @ SV23 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV23 @ SY258 @ SY259 )
!= ( k1_group_1 @ SV23 @ SY259 @ SY258 ) )
| ( ( k3_group_1 @ SV23 @ ( k1_group_1 @ SV23 @ SY258 @ SY259 ) )
= ( k1_group_1 @ SV23 @ ( k3_group_1 @ SV23 @ SY258 ) @ ( k3_group_1 @ SV23 @ SY259 ) ) ) )
| ~ ( ( ( k3_group_1 @ SV23 @ ( k1_group_1 @ SV23 @ SY258 @ SY259 ) )
!= ( k1_group_1 @ SV23 @ ( k3_group_1 @ SV23 @ SY258 ) @ ( k3_group_1 @ SV23 @ SY259 ) ) )
| ( ( k1_group_1 @ SV23 @ SY258 @ SY259 )
= ( k1_group_1 @ SV23 @ SY259 @ SY258 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5994]) ).
thf(6084,plain,
! [SV24: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV24 )
| ~ ( v3_group_1 @ SV24 ) )
| ~ ( v4_group_1 @ SV24 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV24 ) )
= $true )
| ( ( ! [SY260: $i] :
( ~ ( m1_subset_1 @ SY260 @ ( u1_struct_0 @ SV24 ) )
| ~ ( ( ( k2_group_5 @ SV24 @ ( k2_group_1 @ SV24 ) @ SY260 )
!= ( k2_group_1 @ SV24 ) )
| ( ( k2_group_5 @ SV24 @ SY260 @ ( k2_group_1 @ SV24 ) )
!= ( k2_group_1 @ SV24 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5995]) ).
thf(6085,plain,
! [SV25: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV25 )
| ~ ( v3_group_1 @ SV25 ) )
| ~ ( v4_group_1 @ SV25 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV25 ) )
= $true )
| ( ( m1_group_2 @ SV25 @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5996]) ).
thf(6086,plain,
! [SV26: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV26 )
| ~ ( v3_group_1 @ SV26 ) )
| ~ ( v4_group_1 @ SV26 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV26 ) )
= $true )
| ( ( ! [SY261: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY261 )
| ~ ( v3_group_1 @ SY261 ) )
| ~ ( v4_group_1 @ SY261 ) )
| ~ ( l1_group_1 @ SY261 ) )
| ! [SY262: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY262 )
| ~ ( v3_group_1 @ SY262 ) )
| ~ ( v4_group_1 @ SY262 ) )
| ~ ( l1_group_1 @ SY262 ) )
| ~ ~ ( ~ ( m1_group_2 @ SV26 @ SY261 )
| ~ ( m1_group_2 @ SY261 @ SY262 ) )
| ( m1_group_2 @ SV26 @ SY262 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5997]) ).
thf(6087,plain,
! [SV27: $i,SV80: $i] :
( ( ( ~ ( m3_realset1 @ ( sK13_SY361 @ SV80 @ SV27 ) @ SV27 @ SV80 ) )
= $false )
| ( ( m1_subset_1 @ SV80 @ SV27 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[5998]) ).
thf(6088,plain,
! [SV28: $i] :
( ( ( ~ ( v3_struct_0 @ SV28 ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV28 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY265: $i] :
( ~ ( m1_subset_1 @ SY265 @ ( u1_struct_0 @ SV28 ) )
| ! [SY266: $i] :
( ~ ( m1_subset_1 @ SY266 @ ( u1_struct_0 @ SV28 ) )
| ! [SY267: $i] :
( ~ ( m1_subset_1 @ SY267 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ ( k1_group_1 @ SV28 @ SY265 @ SY266 ) @ SY267 )
= ( k1_group_1 @ SV28 @ SY265 @ ( k1_group_1 @ SV28 @ SY266 @ SY267 ) ) ) ) ) )
| ~ ! [SY268: $i] :
( ~ ( m1_subset_1 @ SY268 @ ( u1_struct_0 @ SV28 ) )
| ! [SY269: $i] :
( ~ ( m1_subset_1 @ SY269 @ ( u1_struct_0 @ SV28 ) )
| ~ ( ~ ~ ! [SY270: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY270 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY268 @ SY270 )
!= SY269 ) )
| ~ ~ ! [SY271: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY271 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY271 @ SY268 )
!= SY269 ) ) ) ) ) )
| ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5999]) ).
thf(6089,plain,
! [SV93: $i,SV81: $i,SV29: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV29 )
| ~ ( v3_group_1 @ SV29 ) )
| ~ ( v4_group_1 @ SV29 ) )
| ~ ( l1_group_1 @ SV29 ) )
| ~ ( m1_subset_1 @ SV81 @ ( u1_struct_0 @ SV29 ) ) )
| ~ ( m1_subset_1 @ SV93 @ ( u1_struct_0 @ SV29 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k2_group_5 @ SV29 @ SV81 @ SV93 ) @ ( u1_struct_0 @ SV29 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6000]) ).
thf(6090,plain,
! [SV94: $i,SV82: $i,SV30: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV30 )
| ~ ( v3_group_1 @ SV30 ) )
| ~ ( v4_group_1 @ SV30 ) )
| ~ ( l1_group_1 @ SV30 ) )
| ~ ( m1_subset_1 @ SV82 @ ( u1_struct_0 @ SV30 ) ) )
| ~ ( m1_subset_1 @ SV94 @ ( u1_struct_0 @ SV30 ) ) )
= $true )
| ( ( r2_group_3 @ SV30 @ SV82 @ SV82 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6001]) ).
thf(6091,plain,
( ( l2_struct_0 @ sK4_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6002]) ).
thf(6092,plain,
( ( ~ ( v3_struct_0 @ sK4_SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6003]) ).
thf(6093,plain,
! [SV31: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV31 )
| ~ ( v3_group_1 @ SV31 ) )
| ~ ( v4_group_1 @ SV31 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV31 ) )
= $true )
| ( ( ! [SY276: $i] :
( ~ ( m1_subset_1 @ SY276 @ ( u1_struct_0 @ SV31 ) )
| ! [SY277: $i] :
( ~ ( m1_subset_1 @ SY277 @ ( u1_struct_0 @ SV31 ) )
| ( ( k3_group_1 @ SV31 @ SY276 )
!= ( k3_group_1 @ SV31 @ SY277 ) )
| ( SY276 = SY277 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6004]) ).
thf(6094,plain,
! [SV32: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV32 )
| ~ ( v3_group_1 @ SV32 ) )
| ~ ( v4_group_1 @ SV32 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV32 ) )
= $true )
| ( ( ! [SY278: $i] :
( ~ ( m1_subset_1 @ SY278 @ ( u1_struct_0 @ SV32 ) )
| ~ ( ( ( k2_group_5 @ SV32 @ SY278 @ ( k3_group_1 @ SV32 @ SY278 ) )
!= ( k2_group_1 @ SV32 ) )
| ( ( k2_group_5 @ SV32 @ ( k3_group_1 @ SV32 @ SY278 ) @ SY278 )
!= ( k2_group_1 @ SV32 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6005]) ).
thf(6095,plain,
! [SV33: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV33 )
| ~ ( v3_group_1 @ SV33 ) )
| ~ ( v4_group_1 @ SV33 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV33 ) )
= $true )
| ( ( ! [SY279: $i] :
( ~ ( m1_subset_1 @ SY279 @ ( u1_struct_0 @ SV33 ) )
| ! [SY280: $i] :
( ~ ( m1_subset_1 @ SY280 @ ( u1_struct_0 @ SV33 ) )
| ! [SY281: $i] :
( ~ ( m1_subset_1 @ SY281 @ ( u1_struct_0 @ SV33 ) )
| ( ( k2_group_3 @ SV33 @ SY279 @ SY280 )
!= ( k2_group_3 @ SV33 @ SY281 @ SY280 ) )
| ( SY279 = SY281 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6006]) ).
thf(6096,plain,
! [SV34: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV34 )
| ~ ( v3_group_1 @ SV34 ) )
| ~ ( v4_group_1 @ SV34 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV34 ) )
= $true )
| ( ( ! [SY282: $i] :
( ~ ( m1_subset_1 @ SY282 @ ( u1_struct_0 @ SV34 ) )
| ! [SY283: $i] :
( ~ ( m1_subset_1 @ SY283 @ ( u1_struct_0 @ SV34 ) )
| ~ ( ( ( k1_group_1 @ SV34 @ SY282 @ SY283 )
= ( k2_group_1 @ SV34 ) )
| ( ( k1_group_1 @ SV34 @ SY283 @ SY282 )
= ( k2_group_1 @ SV34 ) ) )
| ~ ( ( SY282
!= ( k3_group_1 @ SV34 @ SY283 ) )
| ( SY283
!= ( k3_group_1 @ SV34 @ SY282 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6007]) ).
thf(6097,plain,
! [SV83: $i,SV35: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV35 )
| ~ ( v3_group_1 @ SV35 ) )
| ~ ( v4_group_1 @ SV35 ) )
| ~ ( l1_group_1 @ SV35 ) )
| ~ ~ ( v3_struct_0 @ SV83 ) )
| ~ ( v3_group_1 @ SV83 ) )
| ~ ( v4_group_1 @ SV83 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV83 ) )
= $true )
| ( ( r1_group_6 @ SV35 @ SV35 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6008]) ).
thf(6098,plain,
! [SV36: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV36 )
| ~ ( v3_group_1 @ SV36 ) )
| ~ ( v4_group_1 @ SV36 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV36 ) )
= $true )
| ( ( ! [SY285: $i] :
( ~ ( m1_subset_1 @ SY285 @ ( u1_struct_0 @ SV36 ) )
| ! [SY286: $i] :
( ~ ( m1_subset_1 @ SY286 @ ( u1_struct_0 @ SV36 ) )
| ! [SY287: $i] :
( ~ ( m1_subset_1 @ SY287 @ ( u1_struct_0 @ SV36 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV36 @ SY285 @ SY286 )
!= SY287 )
| ( SY285
= ( k1_group_1 @ SV36 @ SY287 @ ( k3_group_1 @ SV36 @ SY286 ) ) ) )
| ~ ( ( SY285
!= ( k1_group_1 @ SV36 @ SY287 @ ( k3_group_1 @ SV36 @ SY286 ) ) )
| ( ( k1_group_1 @ SV36 @ SY285 @ SY286 )
= SY287 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6009]) ).
thf(6099,plain,
! [SV37: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV37 )
| ~ ( v3_group_1 @ SV37 ) )
| ~ ( v4_group_1 @ SV37 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV37 ) )
= $true )
| ( ( ! [SY288: $i] :
( ~ ( m1_group_2 @ SY288 @ SV37 )
| ( v4_group_1 @ SY288 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6010]) ).
thf(6100,plain,
( ( ~ ( ~ ~ ( ~ ( l1_group_1 @ sK5_SX0 )
| ~ ~ ( v3_struct_0 @ sK5_SX0 ) )
| ~ ( v4_group_1 @ sK5_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6011]) ).
thf(6101,plain,
( ( v7_group_1 @ sK5_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6012]) ).
thf(6102,plain,
! [SV38: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV38 )
| ~ ( v3_group_1 @ SV38 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV38 ) )
= $true )
| ( ( ! [SY289: $i] :
( ~ ( m1_group_2 @ SY289 @ SV38 )
| ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY289 )
| ~ ( v3_group_1 @ SY289 ) )
| ~ ( l1_group_1 @ SY289 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6013]) ).
thf(6103,plain,
! [SV40: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV40 )
| ~ ( v3_group_1 @ SV40 ) )
= $true )
| ( ( ~ ( ~ ~ ( v3_struct_0 @ SV40 )
| ~ ( v2_group_1 @ SV40 ) ) )
= $true )
| ( ( l1_group_1 @ SV40 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6014]) ).
thf(6104,plain,
! [SV41: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV41 )
| ~ ( v3_group_1 @ SV41 ) )
| ~ ( v4_group_1 @ SV41 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV41 ) )
= $true )
| ( ( ! [SY291: $i] :
( ~ ( m1_subset_1 @ SY291 @ ( u1_struct_0 @ SV41 ) )
| ! [SY292: $i] :
( ~ ( m1_subset_1 @ SY292 @ ( u1_struct_0 @ SV41 ) )
| ( ( k3_group_1 @ SV41 @ ( k2_group_5 @ SV41 @ SY291 @ SY292 ) )
= ( k2_group_5 @ SV41 @ SY292 @ SY291 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6015]) ).
thf(6105,plain,
! [SV42: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV42 )
| ~ ( v3_group_1 @ SV42 ) )
| ~ ( v4_group_1 @ SV42 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV42 ) )
= $true )
| ( ( ! [SY293: $i] :
( ~ ( m1_subset_1 @ SY293 @ ( u1_struct_0 @ SV42 ) )
| ! [SY294: $i] :
( ~ ( m1_subset_1 @ SY294 @ ( u1_struct_0 @ SV42 ) )
| ( ( k3_group_5 @ SV42 @ SY293 @ SY293 @ SY294 )
= ( k2_group_1 @ SV42 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6016]) ).
thf(6106,plain,
! [SV43: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV43 )
| ~ ( v3_group_1 @ SV43 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV43 ) )
= $true )
| ( ( ! [SY295: $i] :
( ~ ( m1_subset_1 @ SY295 @ ( u1_struct_0 @ SV43 ) )
| ~ ! [SY296: $i] :
( ~ ( m1_subset_1 @ SY296 @ ( u1_struct_0 @ SV43 ) )
| ~ ( ( ( k1_group_1 @ SV43 @ SY296 @ SY295 )
!= SY296 )
| ( ( k1_group_1 @ SV43 @ SY295 @ SY296 )
!= SY296 ) ) )
| ( SY295
= ( k2_group_1 @ SV43 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6017]) ).
thf(6107,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( l1_group_1 @ sK6_SX0 )
| ~ ~ ( v3_struct_0 @ sK6_SX0 ) )
| ~ ( v1_group_1 @ sK6_SX0 ) )
| ~ ( v2_group_1 @ sK6_SX0 ) )
| ~ ( v3_group_1 @ sK6_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6018]) ).
thf(6108,plain,
( ( v4_group_1 @ sK6_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6019]) ).
thf(6109,plain,
! [SV44: $i] :
( ( ( ~ ( v3_struct_0 @ SV44 ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV44 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( v4_group_1 @ SV44 )
| ! [SY297: $i] :
( ~ ( m1_subset_1 @ SY297 @ ( u1_struct_0 @ SV44 ) )
| ! [SY298: $i] :
( ~ ( m1_subset_1 @ SY298 @ ( u1_struct_0 @ SV44 ) )
| ! [SY299: $i] :
( ~ ( m1_subset_1 @ SY299 @ ( u1_struct_0 @ SV44 ) )
| ( ( k1_group_1 @ SV44 @ ( k1_group_1 @ SV44 @ SY297 @ SY298 ) @ SY299 )
= ( k1_group_1 @ SV44 @ SY297 @ ( k1_group_1 @ SV44 @ SY298 @ SY299 ) ) ) ) ) ) )
| ~ ( ~ ! [SY300: $i] :
( ~ ( m1_subset_1 @ SY300 @ ( u1_struct_0 @ SV44 ) )
| ! [SY301: $i] :
( ~ ( m1_subset_1 @ SY301 @ ( u1_struct_0 @ SV44 ) )
| ! [SY302: $i] :
( ~ ( m1_subset_1 @ SY302 @ ( u1_struct_0 @ SV44 ) )
| ( ( k1_group_1 @ SV44 @ ( k1_group_1 @ SV44 @ SY300 @ SY301 ) @ SY302 )
= ( k1_group_1 @ SV44 @ SY300 @ ( k1_group_1 @ SV44 @ SY301 @ SY302 ) ) ) ) ) )
| ( v4_group_1 @ SV44 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6020]) ).
thf(6110,plain,
! [SV45: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV45 )
| ~ ( v3_group_1 @ SV45 ) )
| ~ ( v4_group_1 @ SV45 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV45 ) )
= $true )
| ( ( ! [SY303: $i] :
( ~ ( m1_subset_1 @ SY303 @ ( u1_struct_0 @ SV45 ) )
| ! [SY304: $i] :
( ~ ( m1_subset_1 @ SY304 @ ( u1_struct_0 @ SV45 ) )
| ( ( k3_group_1 @ SV45 @ ( k1_group_1 @ SV45 @ SY303 @ SY304 ) )
= ( k1_group_1 @ SV45 @ ( k3_group_1 @ SV45 @ SY304 ) @ ( k3_group_1 @ SV45 @ SY303 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6021]) ).
thf(6111,plain,
! [SV46: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV46 )
| ~ ( v1_group_1 @ SV46 ) )
| ~ ( v3_group_1 @ SV46 ) )
| ~ ( v4_group_1 @ SV46 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV46 ) )
= $true )
| ( ( ( k6_autgroup @ SV46 @ ( k2_group_1 @ SV46 ) )
= ( k6_partfun1 @ ( u1_struct_0 @ SV46 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6022]) ).
thf(6112,plain,
! [SV98: $i,SV95: $i,SV84: $i,SV47: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV47 )
| ~ ( v3_group_1 @ SV47 ) )
| ~ ( v4_group_1 @ SV47 ) )
| ~ ( l1_group_1 @ SV47 ) )
| ~ ( m1_subset_1 @ SV84 @ ( u1_struct_0 @ SV47 ) ) )
| ~ ( m1_subset_1 @ SV95 @ ( u1_struct_0 @ SV47 ) ) )
| ~ ( m1_subset_1 @ SV98 @ ( u1_struct_0 @ SV47 ) ) ) )
= $false )
| ( ( m1_subset_1 @ ( k3_group_5 @ SV47 @ SV84 @ SV95 @ SV98 ) @ ( u1_struct_0 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6023]) ).
thf(6113,plain,
! [SV48: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV48 )
| ~ ( v3_group_1 @ SV48 ) )
| ~ ( v4_group_1 @ SV48 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV48 ) )
= $true )
| ( ( ! [SY308: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY308 )
| ~ ( v3_group_1 @ SY308 ) )
| ~ ( v4_group_1 @ SY308 ) )
| ~ ( l1_group_1 @ SY308 ) )
| ! [SY309: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY309 )
| ~ ( v3_group_1 @ SY309 ) )
| ~ ( v4_group_1 @ SY309 ) )
| ~ ( l1_group_1 @ SY309 ) )
| ~ ~ ( ~ ( r1_group_6 @ SV48 @ SY308 )
| ~ ( r1_group_6 @ SY308 @ SY309 ) )
| ( r1_group_6 @ SV48 @ SY309 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6024]) ).
thf(6114,plain,
! [SV85: $i,SV49: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV49 )
| ~ ( v3_group_1 @ SV49 ) )
| ~ ( v4_group_1 @ SV49 ) )
| ~ ( l1_group_1 @ SV49 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV85 @ ( u1_struct_0 @ SV49 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k3_group_1 @ SV49 @ SV85 ) @ ( u1_struct_0 @ SV49 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6025]) ).
thf(6115,plain,
! [SV50: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV50 )
| ~ ( v3_group_1 @ SV50 ) )
| ~ ( v4_group_1 @ SV50 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV50 ) )
= $true )
| ( ( ( k3_group_1 @ SV50 @ ( k2_group_1 @ SV50 ) )
= ( k2_group_1 @ SV50 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6026]) ).
thf(6116,plain,
! [SV96: $i,SV86: $i,SV51: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV51 )
| ~ ( v3_group_1 @ SV51 ) )
| ~ ( v4_group_1 @ SV51 ) )
| ~ ( l1_group_1 @ SV51 ) )
| ~ ( m1_subset_1 @ SV86 @ ( u1_struct_0 @ SV51 ) ) )
| ~ ( m1_subset_1 @ SV96 @ ( u1_struct_0 @ SV51 ) ) )
= $true )
| ( ( ~ ( r2_group_3 @ SV51 @ SV86 @ SV96 )
| ( r2_group_3 @ SV51 @ SV96 @ SV86 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6027]) ).
thf(6117,plain,
! [SV52: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV52 )
| ~ ( v1_group_1 @ SV52 ) )
| ~ ( v3_group_1 @ SV52 ) )
| ~ ( v4_group_1 @ SV52 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV52 ) )
= $true )
| ( ( ! [SY313: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY313 )
| ~ ( v1_group_1 @ SY313 ) )
| ~ ( v3_group_1 @ SY313 ) )
| ~ ( v4_group_1 @ SY313 ) )
| ~ ( l1_group_1 @ SY313 ) )
| ~ ( r1_group_6 @ SV52 @ SY313 )
| ( r1_group_6 @ SY313 @ SV52 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6028]) ).
thf(6118,plain,
! [SV53: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV53 )
| ~ ( v3_group_1 @ SV53 ) )
| ~ ( v4_group_1 @ SV53 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV53 ) )
= $true )
| ( ( ! [SY314: $i] :
( ~ ( m1_group_2 @ SY314 @ SV53 )
| ( ( k2_group_1 @ SY314 )
= ( k2_group_1 @ SV53 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6029]) ).
thf(6119,plain,
! [SV54: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV54 )
| ~ ( v3_group_1 @ SV54 ) )
| ~ ( v4_group_1 @ SV54 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV54 ) )
= $true )
| ( ( ! [SY315: $i] :
( ~ ( m1_subset_1 @ SY315 @ ( u1_struct_0 @ SV54 ) )
| ! [SY316: $i] :
( ~ ( m1_subset_1 @ SY316 @ ( u1_struct_0 @ SV54 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV54 @ SY315 @ SY316 )
!= ( k1_group_1 @ SV54 @ SY316 @ SY315 ) )
| ( ( k1_group_1 @ SV54 @ SY315 @ ( k3_group_1 @ SV54 @ SY316 ) )
= ( k1_group_1 @ SV54 @ ( k3_group_1 @ SV54 @ SY316 ) @ SY315 ) ) )
| ~ ( ( ( k1_group_1 @ SV54 @ SY315 @ ( k3_group_1 @ SV54 @ SY316 ) )
!= ( k1_group_1 @ SV54 @ ( k3_group_1 @ SV54 @ SY316 ) @ SY315 ) )
| ( ( k1_group_1 @ SV54 @ SY315 @ SY316 )
= ( k1_group_1 @ SV54 @ SY316 @ SY315 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6030]) ).
thf(6120,plain,
! [SV55: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV55 )
| ~ ( v3_group_1 @ SV55 ) )
| ~ ( v4_group_1 @ SV55 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV55 ) )
= $true )
| ( ( ! [SY317: $i] :
( ~ ( m1_subset_1 @ SY317 @ ( u1_struct_0 @ SV55 ) )
| ! [SY318: $i] :
( ~ ( m1_group_2 @ SY318 @ SV55 )
| ! [SY319: $i] :
( ~ ( m1_subset_1 @ SY319 @ ( u1_struct_0 @ SY318 ) )
| ( SY319 != SY317 )
| ( ( k3_group_1 @ SY318 @ SY319 )
= ( k3_group_1 @ SV55 @ SY317 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6031]) ).
thf(6121,plain,
! [SV56: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV56 )
| ~ ( v3_group_1 @ SV56 ) )
| ~ ( v4_group_1 @ SV56 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV56 ) )
= $true )
| ( ( ! [SY320: $i] :
( ~ ( m1_subset_1 @ SY320 @ ( u1_struct_0 @ SV56 ) )
| ! [SY321: $i] :
( ~ ( m1_subset_1 @ SY321 @ ( u1_struct_0 @ SV56 ) )
| ~ ~ ( ( ( k1_group_1 @ SV56 @ SY320 @ SY321 )
!= ( k2_group_1 @ SV56 ) )
| ( ( k1_group_1 @ SV56 @ SY321 @ SY320 )
!= ( k2_group_1 @ SV56 ) ) )
| ( SY321
= ( k3_group_1 @ SV56 @ SY320 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6032]) ).
thf(6122,plain,
! [SV57: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV57 )
| ~ ( v3_group_1 @ SV57 ) )
| ~ ( v4_group_1 @ SV57 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV57 ) )
= $true )
| ( ( ! [SY322: $i] :
( ~ ( m1_subset_1 @ SY322 @ ( u1_struct_0 @ SV57 ) )
| ( ( k2_group_3 @ SV57 @ SY322 @ SY322 )
= SY322 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6033]) ).
thf(6123,plain,
! [SV58: $i,SV99: $i] :
( ( ( ~ ( m1_subset_1 @ SV99 @ SV58 ) )
= $true )
| ( ( SV99
= ( k8_subset_1 @ SV58 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[6034]) ).
thf(6124,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV59 )
| ~ ( v3_group_1 @ SV59 ) )
| ~ ( v4_group_1 @ SV59 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV59 ) )
= $true )
| ( ( ! [SY324: $i] :
( ~ ( m1_subset_1 @ SY324 @ ( u1_struct_0 @ SV59 ) )
| ! [SY325: $i] :
( ~ ( m1_subset_1 @ SY325 @ ( u1_struct_0 @ SV59 ) )
| ~ ! [SY326: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY326 @ ( u1_struct_0 @ SV59 ) )
| ( ( k1_group_1 @ SV59 @ SY324 @ SY326 )
!= SY325 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6035]) ).
thf(6125,plain,
! [SV60: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV60 )
| ~ ( v3_group_1 @ SV60 ) )
| ~ ( v4_group_1 @ SV60 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV60 ) )
= $true )
| ( ( ! [SY327: $i] :
( ~ ( m1_subset_1 @ SY327 @ ( u1_struct_0 @ SV60 ) )
| ! [SY328: $i] :
( ~ ( m1_subset_1 @ SY328 @ ( u1_struct_0 @ SV60 ) )
| ~ ( ~ ( ( SY328
!= ( k3_group_1 @ SV60 @ SY327 ) )
| ~ ( ( ( k1_group_1 @ SV60 @ SY327 @ SY328 )
!= ( k2_group_1 @ SV60 ) )
| ( ( k1_group_1 @ SV60 @ SY328 @ SY327 )
!= ( k2_group_1 @ SV60 ) ) ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV60 @ SY327 @ SY328 )
!= ( k2_group_1 @ SV60 ) )
| ( ( k1_group_1 @ SV60 @ SY328 @ SY327 )
!= ( k2_group_1 @ SV60 ) ) )
| ( SY328
= ( k3_group_1 @ SV60 @ SY327 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6036]) ).
thf(6126,plain,
! [SV87: $i,SV61: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV61 )
| ~ ( v1_group_1 @ SV61 ) )
| ~ ( v3_group_1 @ SV61 ) )
| ~ ( v4_group_1 @ SV61 ) )
| ~ ( l1_group_1 @ SV61 ) )
| ~ ~ ( v3_struct_0 @ SV87 ) )
| ~ ( v1_group_1 @ SV87 ) )
| ~ ( v3_group_1 @ SV87 ) )
| ~ ( v4_group_1 @ SV87 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( r2_group_6 @ SV61 @ SV87 )
| ( r2_group_6 @ SV87 @ SV61 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6037]) ).
thf(6127,plain,
! [SV62: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV62 )
| ~ ( v1_group_1 @ SV62 ) )
| ~ ( v3_group_1 @ SV62 ) )
| ~ ( v4_group_1 @ SV62 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV62 ) )
= $true )
| ( ( ! [SY330: $i] :
( ~ ( m1_subset_1 @ SY330 @ ( u1_struct_0 @ SV62 ) )
| ( ( k8_funct_2 @ ( u1_struct_0 @ SV62 ) @ ( u1_struct_0 @ SV62 ) @ ( k6_autgroup @ SV62 @ ( k2_group_1 @ SV62 ) ) @ SY330 )
= SY330 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6038]) ).
thf(6128,plain,
( ( l1_funcsdom @ sK8_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6039]) ).
thf(6129,plain,
( ( ~ ( v3_struct_0 @ sK8_SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6040]) ).
thf(6130,plain,
( ( l1_group_1 @ sK9_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6041]) ).
thf(6131,plain,
( ( v1_group_1 @ sK9_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6042]) ).
thf(6132,plain,
! [SV97: $i,SV88: $i,SV63: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV63 )
| ~ ( l1_group_1 @ SV63 ) )
| ~ ( m1_subset_1 @ SV88 @ ( u1_struct_0 @ SV63 ) ) )
| ~ ( m1_subset_1 @ SV97 @ ( u1_struct_0 @ SV63 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k1_group_1 @ SV63 @ SV88 @ SV97 ) @ ( u1_struct_0 @ SV63 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6043]) ).
thf(6133,plain,
! [SV64: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV64 )
| ~ ( v3_group_1 @ SV64 ) )
| ~ ( v4_group_1 @ SV64 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV64 ) )
= $true )
| ( ( ! [SY333: $i] :
( ~ ( m1_subset_1 @ SY333 @ ( u1_struct_0 @ SV64 ) )
| ( ( k2_group_5 @ SV64 @ SY333 @ SY333 )
= ( k2_group_1 @ SV64 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6044]) ).
thf(6134,plain,
! [SV66: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV66 )
| ~ ( v3_group_1 @ SV66 ) )
| ~ ( v4_group_1 @ SV66 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV66 ) )
= $true )
| ( ( ! [SY335: $i] :
( ~ ( m1_subset_1 @ SY335 @ ( u1_struct_0 @ SV66 ) )
| ! [SY336: $i] :
( ~ ( m1_subset_1 @ SY336 @ ( u1_struct_0 @ SV66 ) )
| ~ ( r1_group_3 @ SV66 @ SY335 @ SY336 )
| ( r1_group_3 @ SV66 @ SY336 @ SY335 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6045]) ).
thf(6135,plain,
! [SV67: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV67 )
| ~ ( v3_group_1 @ SV67 ) )
| ~ ( v4_group_1 @ SV67 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV67 ) )
= $true )
| ( ( ! [SY337: $i] :
( ~ ( m1_subset_1 @ SY337 @ ( u1_struct_0 @ SV67 ) )
| ( ( k3_group_1 @ SV67 @ ( k3_group_1 @ SV67 @ SY337 ) )
= SY337 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6046]) ).
thf(6136,plain,
! [SV68: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV68 )
| ~ ( v3_group_1 @ SV68 ) )
| ~ ( v4_group_1 @ SV68 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV68 ) )
= $true )
| ( ( ! [SY338: $i] :
( ~ ( m1_subset_1 @ SY338 @ ( u1_struct_0 @ SV68 ) )
| ( ( k2_group_3 @ SV68 @ SY338 @ ( k2_group_1 @ SV68 ) )
= SY338 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6047]) ).
thf(6137,plain,
! [SV101: $i,SV100: $i,SV90: $i,SV69: $i] :
( ( ( ( ( g2_struct_0 @ SV69 @ SV90 )
!= ( g2_struct_0 @ SV100 @ SV101 ) )
| ~ ( ( SV69 != SV100 )
| ( SV90 != SV101 ) ) )
= $true )
| ( ( m1_subset_1 @ SV90 @ SV69 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6048]) ).
thf(6138,plain,
! [SV70: $i] :
( ( ( ~ ( v3_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV70 ) )
= $true )
| ( ( ~ ! [SY342: $i] :
( ~ ( m1_subset_1 @ SY342 @ ( u1_struct_0 @ SV70 ) )
| ! [SY343: $i] :
( ~ ( m1_subset_1 @ SY343 @ ( u1_struct_0 @ SV70 ) )
| ! [SY344: $i] :
( ~ ( m1_subset_1 @ SY344 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ SY342 @ SY343 ) @ SY344 )
= ( k1_group_1 @ SV70 @ SY342 @ ( k1_group_1 @ SV70 @ SY343 @ SY344 ) ) ) ) ) )
| ! [SY345: $i] :
( ~ ( m1_subset_1 @ SY345 @ ( u1_struct_0 @ SV70 ) )
| ~ ! [SY346: $i] :
( ~ ( m1_subset_1 @ SY346 @ ( u1_struct_0 @ SV70 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV70 @ SY346 @ SY345 )
!= SY346 )
| ( ( k1_group_1 @ SV70 @ SY345 @ SY346 )
!= SY346 ) )
| ~ ~ ! [SY347: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY347 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ SY346 @ SY347 )
!= SY345 ) )
| ( ( k1_group_1 @ SV70 @ SY347 @ SY346 )
!= SY345 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6049]) ).
thf(6139,plain,
! [SV71: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV71 )
| ~ ( v3_group_1 @ SV71 ) )
| ~ ( v4_group_1 @ SV71 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV71 ) )
= $true )
| ( ( ! [SY348: $i] :
( ~ ( m1_subset_1 @ SY348 @ ( u1_struct_0 @ SV71 ) )
| ! [SY349: $i] :
( ~ ( m1_subset_1 @ SY349 @ ( u1_struct_0 @ SV71 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SY348 @ SY349 ) @ ( k3_group_1 @ SV71 @ SY349 ) )
!= SY348 )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SY348 @ ( k3_group_1 @ SV71 @ SY349 ) ) @ SY349 )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY349 ) @ SY349 ) @ SY348 )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SY349 @ ( k3_group_1 @ SV71 @ SY349 ) ) @ SY348 )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ SY348 @ ( k1_group_1 @ SV71 @ SY349 @ ( k3_group_1 @ SV71 @ SY349 ) ) )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ SY348 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY349 ) @ SY349 ) )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY349 ) @ ( k1_group_1 @ SV71 @ SY349 @ SY348 ) )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ SY349 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY349 ) @ SY348 ) )
!= SY348 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6050]) ).
thf(6140,plain,
! [SV91: $i,SV72: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV72 )
| ~ ( v1_group_1 @ SV72 ) )
| ~ ( v3_group_1 @ SV72 ) )
| ~ ( v4_group_1 @ SV72 ) )
| ~ ( l1_group_1 @ SV72 ) )
| ~ ~ ( v3_struct_0 @ SV91 ) )
| ~ ( v1_group_1 @ SV91 ) )
| ~ ( v3_group_1 @ SV91 ) )
| ~ ( v4_group_1 @ SV91 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV91 ) )
= $true )
| ( ( r2_group_6 @ SV72 @ SV72 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6051]) ).
thf(6141,plain,
! [SV73: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV73 )
| ~ ( v3_group_1 @ SV73 ) )
| ~ ( v4_group_1 @ SV73 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV73 ) )
= $true )
| ( ( ! [SY351: $i] :
( ~ ( m1_subset_1 @ SY351 @ ( u1_struct_0 @ SV73 ) )
| ~ ( ( ( k2_group_3 @ SV73 @ SY351 @ ( k3_group_1 @ SV73 @ SY351 ) )
!= SY351 )
| ( ( k2_group_3 @ SV73 @ ( k3_group_1 @ SV73 @ SY351 ) @ SY351 )
!= ( k3_group_1 @ SV73 @ SY351 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6052]) ).
thf(6142,plain,
! [SV74: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV74 )
| ~ ( v3_group_1 @ SV74 ) )
| ~ ( v4_group_1 @ SV74 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV74 ) )
= $true )
| ( ( ! [SY352: $i] :
( ~ ( m1_subset_1 @ SY352 @ ( u1_struct_0 @ SV74 ) )
| ! [SY353: $i] :
( ~ ( m1_subset_1 @ SY353 @ ( u1_struct_0 @ SV74 ) )
| ! [SY354: $i] :
( ~ ( m1_subset_1 @ SY354 @ ( u1_struct_0 @ SV74 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV74 @ SY352 @ SY353 )
!= SY354 )
| ( SY353
= ( k1_group_1 @ SV74 @ ( k3_group_1 @ SV74 @ SY352 ) @ SY354 ) ) )
| ~ ( ( SY353
!= ( k1_group_1 @ SV74 @ ( k3_group_1 @ SV74 @ SY352 ) @ SY354 ) )
| ( ( k1_group_1 @ SV74 @ SY352 @ SY353 )
= SY354 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6053]) ).
thf(6143,plain,
! [SV75: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV75 )
| ~ ( v3_group_1 @ SV75 ) )
| ~ ( v4_group_1 @ SV75 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV75 ) )
= $true )
| ( ( ! [SY355: $i] :
( ~ ( m1_subset_1 @ SY355 @ ( u1_struct_0 @ SV75 ) )
| ( ( k3_group_1 @ SV75 @ SY355 )
!= ( k2_group_1 @ SV75 ) )
| ( SY355
= ( k2_group_1 @ SV75 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6054]) ).
thf(6144,plain,
( ( ~ ( ~ ( l1_group_1 @ sK10_SX0 )
| ~ ~ ( v3_struct_0 @ sK10_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6055]) ).
thf(6145,plain,
( ( v1_group_1 @ sK10_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6056]) ).
thf(6146,plain,
! [SV76: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV76 )
| ~ ( v3_group_1 @ SV76 ) )
| ~ ( v4_group_1 @ SV76 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV76 ) )
= $true )
| ( ( ~ ( v5_group_1 @ ( k2_group_1 @ SV76 ) @ SV76 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6057]) ).
thf(6147,plain,
! [SV77: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV77 )
| ~ ( v3_group_1 @ SV77 ) )
| ~ ( v4_group_1 @ SV77 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV77 ) )
= $true )
| ( ( ! [SY356: $i] :
( ~ ( m1_subset_1 @ SY356 @ ( u1_struct_0 @ SV77 ) )
| ! [SY357: $i] :
( ~ ( m1_subset_1 @ SY357 @ ( u1_struct_0 @ SV77 ) )
| ~ ! [SY358: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY358 @ ( u1_struct_0 @ SV77 ) )
| ( ( k1_group_1 @ SV77 @ SY358 @ SY356 )
!= SY357 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6058]) ).
thf(6148,plain,
! [SV78: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV78 )
| ~ ( v3_group_1 @ SV78 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV78 ) )
= $true )
| ( ( ~ ! [SY359: $i] :
~ ( m1_group_2 @ SY359 @ SV78 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6059]) ).
thf(6149,plain,
( ( l2_rlvect_1 @ sK11_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6060]) ).
thf(6150,plain,
( ( ~ ( v3_struct_0 @ sK11_SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6061]) ).
thf(6151,plain,
( ( v3_struct_0 @ sK2_SX0 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6063]) ).
thf(6152,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV2 )
| ~ ( v1_group_1 @ SV2 ) )
| ~ ( v3_group_1 @ SV2 ) )
| ~ ( v4_group_1 @ SV2 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV2 ) )
= $true )
| ( ( ! [SY222: $i] :
( ~ ( m1_subset_1 @ SY222 @ ( u1_struct_0 @ SV2 ) )
| ! [SY223: $i] :
( ~ ( m1_subset_1 @ SY223 @ ( u1_struct_0 @ SV2 ) )
| ( ( k6_autgroup @ SV2 @ ( k1_group_1 @ SV2 @ SY222 @ SY223 ) )
= ( k7_funct_2 @ ( u1_struct_0 @ SV2 ) @ ( u1_struct_0 @ SV2 ) @ ( u1_struct_0 @ SV2 ) @ ( k6_autgroup @ SV2 @ SY222 ) @ ( k6_autgroup @ SV2 @ SY223 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6064]) ).
thf(6153,plain,
! [SV3: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV3 )
| ~ ( v3_group_1 @ SV3 ) )
| ~ ( v4_group_1 @ SV3 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV3 ) )
= $true )
| ( ( ! [SY224: $i] :
( ~ ( m1_subset_1 @ SY224 @ ( u1_struct_0 @ SV3 ) )
| ! [SY225: $i] :
( ~ ( m1_subset_1 @ SY225 @ ( u1_struct_0 @ SV3 ) )
| ~ ( ( ( k1_group_1 @ SV3 @ SY224 @ SY225 )
= SY224 )
| ( ( k1_group_1 @ SV3 @ SY225 @ SY224 )
= SY224 ) )
| ( SY225
= ( k2_group_1 @ SV3 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6065]) ).
thf(6154,plain,
! [SV4: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV4 )
| ~ ( v3_group_1 @ SV4 ) )
| ~ ( v4_group_1 @ SV4 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV4 ) )
= $true )
| ( ( ! [SY226: $i] :
( ~ ( m1_group_2 @ SY226 @ SV4 )
| ! [SY227: $i] :
( ~ ( m1_group_2 @ SY227 @ SV4 )
| ( ( k2_group_1 @ SY226 )
= ( k2_group_1 @ SY227 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6066]) ).
thf(6155,plain,
! [SV5: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV5 )
| ~ ( v3_group_1 @ SV5 ) )
| ~ ( v4_group_1 @ SV5 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV5 ) )
= $true )
| ( ( ! [SY228: $i] :
( ~ ( m1_subset_1 @ SY228 @ ( u1_struct_0 @ SV5 ) )
| ! [SY229: $i] :
( ~ ( m1_subset_1 @ SY229 @ ( u1_struct_0 @ SV5 ) )
| ~ ( ( ( k2_group_3 @ SV5 @ ( k2_group_3 @ SV5 @ SY228 @ SY229 ) @ ( k3_group_1 @ SV5 @ SY229 ) )
!= SY228 )
| ( ( k2_group_3 @ SV5 @ ( k2_group_3 @ SV5 @ SY228 @ ( k3_group_1 @ SV5 @ SY229 ) ) @ SY229 )
!= SY228 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6067]) ).
thf(6156,plain,
! [SV6: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV6 )
| ~ ( v3_group_1 @ SV6 ) )
| ~ ( v4_group_1 @ SV6 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV6 ) )
= $true )
| ( ( ! [SY230: $i] :
( ~ ( m1_subset_1 @ SY230 @ ( u1_struct_0 @ SV6 ) )
| ( ( k2_group_3 @ SV6 @ ( k2_group_1 @ SV6 ) @ SY230 )
= ( k2_group_1 @ SV6 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6068]) ).
thf(6157,plain,
! [SV7: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV7 )
| ~ ( v3_group_1 @ SV7 ) )
| ~ ( v4_group_1 @ SV7 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV7 ) )
= $true )
| ( ( ! [SY231: $i] :
( ~ ( m1_subset_1 @ SY231 @ ( u1_struct_0 @ SV7 ) )
| ~ ( ( r2_group_3 @ SV7 @ SY231 @ ( k2_group_1 @ SV7 ) )
| ( r2_group_3 @ SV7 @ ( k2_group_1 @ SV7 ) @ SY231 ) )
| ( SY231
= ( k2_group_1 @ SV7 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6069]) ).
thf(6158,plain,
! [SV8: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV8 )
| ~ ( v3_group_1 @ SV8 ) )
| ~ ( v4_group_1 @ SV8 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV8 ) )
= $true )
| ( ( ! [SY232: $i] :
( ~ ( m1_subset_1 @ SY232 @ ( u1_struct_0 @ SV8 ) )
| ! [SY233: $i] :
( ~ ( m1_subset_1 @ SY233 @ ( u1_struct_0 @ SV8 ) )
| ! [SY234: $i] :
( ~ ( m1_subset_1 @ SY234 @ ( u1_struct_0 @ SV8 ) )
| ~ ( ( ( k1_group_1 @ SV8 @ SY232 @ SY233 )
= ( k1_group_1 @ SV8 @ SY232 @ SY234 ) )
| ( ( k1_group_1 @ SV8 @ SY233 @ SY232 )
= ( k1_group_1 @ SV8 @ SY234 @ SY232 ) ) )
| ( SY233 = SY234 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6070]) ).
thf(6159,plain,
! [SV9: $i] :
( ( ( v3_struct_0 @ SV9 )
= $true )
| ( ( ~ ( l1_group_1 @ SV9 ) )
= $true )
| ( ( m1_subset_1 @ ( k2_group_1 @ SV9 ) @ ( u1_struct_0 @ SV9 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6071]) ).
thf(6160,plain,
! [SV10: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV10 )
| ~ ( v3_group_1 @ SV10 ) )
| ~ ( v4_group_1 @ SV10 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV10 ) )
= $true )
| ( ( ! [SY235: $i] :
( ~ ( m1_subset_1 @ SY235 @ ( u1_struct_0 @ SV10 ) )
| ! [SY236: $i] :
( ~ ( m1_subset_1 @ SY236 @ ( u1_struct_0 @ SV10 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV10 @ SY235 @ SY236 )
!= ( k1_group_1 @ SV10 @ SY236 @ SY235 ) )
| ( ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY235 ) @ ( k3_group_1 @ SV10 @ SY236 ) )
= ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY236 ) @ ( k3_group_1 @ SV10 @ SY235 ) ) ) )
| ~ ( ( ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY235 ) @ ( k3_group_1 @ SV10 @ SY236 ) )
!= ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY236 ) @ ( k3_group_1 @ SV10 @ SY235 ) ) )
| ( ( k1_group_1 @ SV10 @ SY235 @ SY236 )
= ( k1_group_1 @ SV10 @ SY236 @ SY235 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6072]) ).
thf(6161,plain,
! [SV11: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV11 )
| ~ ( v1_group_1 @ SV11 ) )
| ~ ( v3_group_1 @ SV11 ) )
| ~ ( v4_group_1 @ SV11 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV11 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k3_autgroup @ SV11 ) )
| ~ ( v1_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( v3_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( v4_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( l1_group_1 @ ( k3_autgroup @ SV11 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6073]) ).
thf(6162,plain,
! [SV12: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV12 )
| ~ ( v3_group_1 @ SV12 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV12 ) )
= $true )
| ( ( ! [SY237: $i] :
( ~ ( m1_group_2 @ SY237 @ SV12 )
| ! [SY238: $i] :
( ~ ( m1_subset_1 @ SY238 @ ( u1_struct_0 @ SY237 ) )
| ( m1_subset_1 @ SY238 @ ( u1_struct_0 @ SV12 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6074]) ).
thf(6163,plain,
! [SV13: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV13 )
| ~ ( v3_group_1 @ SV13 ) )
| ~ ( v4_group_1 @ SV13 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV13 ) )
= $true )
| ( ( ! [SY239: $i] :
( ~ ( m1_subset_1 @ SY239 @ ( u1_struct_0 @ SV13 ) )
| ! [SY240: $i] :
( ~ ( m1_subset_1 @ SY240 @ ( u1_struct_0 @ SV13 ) )
| ~ ( ~ ~ ( ( ( k3_group_5 @ SV13 @ SY239 @ SY240 @ ( k2_group_1 @ SV13 ) )
!= ( k2_group_1 @ SV13 ) )
| ( ( k3_group_5 @ SV13 @ SY239 @ ( k2_group_1 @ SV13 ) @ SY240 )
!= ( k2_group_1 @ SV13 ) ) )
| ( ( k3_group_5 @ SV13 @ ( k2_group_1 @ SV13 ) @ SY239 @ SY240 )
!= ( k2_group_1 @ SV13 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6075]) ).
thf(6164,plain,
! [SV15: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV15 )
| ~ ( v3_group_1 @ SV15 ) )
| ~ ( v4_group_1 @ SV15 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV15 ) )
= $true )
| ( ( ! [SY241: $i] :
( ~ ( m1_subset_1 @ SY241 @ ( u1_struct_0 @ SV15 ) )
| ! [SY242: $i] :
( ~ ( m1_subset_1 @ SY242 @ ( u1_struct_0 @ SV15 ) )
| ( ( k2_group_3 @ SV15 @ ( k3_group_1 @ SV15 @ SY241 ) @ SY242 )
= ( k3_group_1 @ SV15 @ ( k2_group_3 @ SV15 @ SY241 @ SY242 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6076]) ).
thf(6165,plain,
! [SV16: $i] :
( ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( ~ ( l1_group_1 @ SV16 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( v3_group_1 @ SV16 )
| ~ ! [SY243: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY243 @ ( u1_struct_0 @ SV16 ) )
| ~ ! [SY244: $i] :
( ~ ( m1_subset_1 @ SY244 @ ( u1_struct_0 @ SV16 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV16 @ SY244 @ SY243 )
!= SY244 )
| ( ( k1_group_1 @ SV16 @ SY243 @ SY244 )
!= SY244 ) )
| ~ ~ ! [SY245: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY245 @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ SY244 @ SY245 )
!= SY243 ) )
| ( ( k1_group_1 @ SV16 @ SY245 @ SY244 )
!= SY243 ) ) ) ) ) )
| ~ ( ~ ~ ! [SY246: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY246 @ ( u1_struct_0 @ SV16 ) )
| ~ ! [SY247: $i] :
( ~ ( m1_subset_1 @ SY247 @ ( u1_struct_0 @ SV16 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV16 @ SY247 @ SY246 )
!= SY247 )
| ( ( k1_group_1 @ SV16 @ SY246 @ SY247 )
!= SY247 ) )
| ~ ~ ! [SY248: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY248 @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ SY247 @ SY248 )
!= SY246 ) )
| ( ( k1_group_1 @ SV16 @ SY248 @ SY247 )
!= SY246 ) ) ) ) )
| ( v3_group_1 @ SV16 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6077]) ).
thf(6166,plain,
! [SV17: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV17 )
| ~ ( v3_group_1 @ SV17 ) )
| ~ ( v4_group_1 @ SV17 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV17 ) )
= $true )
| ( ( ! [SY249: $i] :
( ~ ( m1_subset_1 @ SY249 @ ( u1_struct_0 @ SV17 ) )
| ! [SY250: $i] :
( ~ ( m1_subset_1 @ SY250 @ ( u1_struct_0 @ SV17 ) )
| ( ( k2_group_3 @ SV17 @ SY249 @ SY250 )
!= ( k2_group_1 @ SV17 ) )
| ( SY249
= ( k2_group_1 @ SV17 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6078]) ).
thf(6167,plain,
! [SV18: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV18 )
| ~ ( v3_group_1 @ SV18 ) )
| ~ ( v4_group_1 @ SV18 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV18 ) )
= $true )
| ( ( ! [SY251: $i] :
( ~ ( m1_subset_1 @ SY251 @ ( u1_struct_0 @ SV18 ) )
| ( r1_group_3 @ SV18 @ SY251 @ SY251 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6079]) ).
thf(6168,plain,
! [SV92: $i,SV79: $i,SV19: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV19 )
| ~ ( v3_group_1 @ SV19 ) )
| ~ ( v4_group_1 @ SV19 ) )
| ~ ( l1_group_1 @ SV19 ) )
| ~ ( m1_subset_1 @ SV79 @ ( u1_struct_0 @ SV19 ) ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV92 @ ( u1_struct_0 @ SV19 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k2_group_3 @ SV19 @ SV79 @ SV92 ) @ ( u1_struct_0 @ SV19 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6080]) ).
thf(6169,plain,
! [SV21: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV21 )
| ~ ( v3_group_1 @ SV21 ) )
| ~ ( v4_group_1 @ SV21 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV21 ) )
= $true )
| ( ( ! [SY254: $i] :
( ~ ( m1_subset_1 @ SY254 @ ( u1_struct_0 @ SV21 ) )
| ! [SY255: $i] :
( ~ ( m1_subset_1 @ SY255 @ ( u1_struct_0 @ SV21 ) )
| ! [SY256: $i] :
( ~ ( m1_subset_1 @ SY256 @ ( u1_struct_0 @ SV21 ) )
| ~ ~ ( ~ ( r2_group_3 @ SV21 @ SY254 @ SY255 )
| ~ ( r2_group_3 @ SV21 @ SY255 @ SY256 ) )
| ( r2_group_3 @ SV21 @ SY254 @ SY256 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6081]) ).
thf(6170,plain,
! [SV22: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV22 )
| ~ ( v1_group_1 @ SV22 ) )
| ~ ( v3_group_1 @ SV22 ) )
| ~ ( v4_group_1 @ SV22 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV22 ) )
= $true )
| ( ( ! [SY257: $i] :
( ~ ~ ( ~ ( v1_group_1 @ SY257 )
| ~ ( m1_group_2 @ SY257 @ SV22 ) )
| ( ( u1_struct_0 @ SY257 )
!= ( u1_struct_0 @ SV22 ) )
| ( SY257 = SV22 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6082]) ).
thf(6171,plain,
! [SV23: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV23 )
| ~ ( v3_group_1 @ SV23 ) )
| ~ ( v4_group_1 @ SV23 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV23 ) )
= $true )
| ( ( ! [SY258: $i] :
( ~ ( m1_subset_1 @ SY258 @ ( u1_struct_0 @ SV23 ) )
| ! [SY259: $i] :
( ~ ( m1_subset_1 @ SY259 @ ( u1_struct_0 @ SV23 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV23 @ SY258 @ SY259 )
!= ( k1_group_1 @ SV23 @ SY259 @ SY258 ) )
| ( ( k3_group_1 @ SV23 @ ( k1_group_1 @ SV23 @ SY258 @ SY259 ) )
= ( k1_group_1 @ SV23 @ ( k3_group_1 @ SV23 @ SY258 ) @ ( k3_group_1 @ SV23 @ SY259 ) ) ) )
| ~ ( ( ( k3_group_1 @ SV23 @ ( k1_group_1 @ SV23 @ SY258 @ SY259 ) )
!= ( k1_group_1 @ SV23 @ ( k3_group_1 @ SV23 @ SY258 ) @ ( k3_group_1 @ SV23 @ SY259 ) ) )
| ( ( k1_group_1 @ SV23 @ SY258 @ SY259 )
= ( k1_group_1 @ SV23 @ SY259 @ SY258 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6083]) ).
thf(6172,plain,
! [SV24: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV24 )
| ~ ( v3_group_1 @ SV24 ) )
| ~ ( v4_group_1 @ SV24 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV24 ) )
= $true )
| ( ( ! [SY260: $i] :
( ~ ( m1_subset_1 @ SY260 @ ( u1_struct_0 @ SV24 ) )
| ~ ( ( ( k2_group_5 @ SV24 @ ( k2_group_1 @ SV24 ) @ SY260 )
!= ( k2_group_1 @ SV24 ) )
| ( ( k2_group_5 @ SV24 @ SY260 @ ( k2_group_1 @ SV24 ) )
!= ( k2_group_1 @ SV24 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6084]) ).
thf(6173,plain,
! [SV25: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV25 )
| ~ ( v3_group_1 @ SV25 ) )
| ~ ( v4_group_1 @ SV25 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV25 ) )
= $true )
| ( ( m1_group_2 @ SV25 @ SV25 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6085]) ).
thf(6174,plain,
! [SV26: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV26 )
| ~ ( v3_group_1 @ SV26 ) )
| ~ ( v4_group_1 @ SV26 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV26 ) )
= $true )
| ( ( ! [SY261: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY261 )
| ~ ( v3_group_1 @ SY261 ) )
| ~ ( v4_group_1 @ SY261 ) )
| ~ ( l1_group_1 @ SY261 ) )
| ! [SY262: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY262 )
| ~ ( v3_group_1 @ SY262 ) )
| ~ ( v4_group_1 @ SY262 ) )
| ~ ( l1_group_1 @ SY262 ) )
| ~ ~ ( ~ ( m1_group_2 @ SV26 @ SY261 )
| ~ ( m1_group_2 @ SY261 @ SY262 ) )
| ( m1_group_2 @ SV26 @ SY262 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6086]) ).
thf(6175,plain,
! [SV27: $i,SV80: $i] :
( ( ( m3_realset1 @ ( sK13_SY361 @ SV80 @ SV27 ) @ SV27 @ SV80 )
= $true )
| ( ( m1_subset_1 @ SV80 @ SV27 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6087]) ).
thf(6176,plain,
! [SV28: $i] :
( ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( ~ ( l1_group_1 @ SV28 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY265: $i] :
( ~ ( m1_subset_1 @ SY265 @ ( u1_struct_0 @ SV28 ) )
| ! [SY266: $i] :
( ~ ( m1_subset_1 @ SY266 @ ( u1_struct_0 @ SV28 ) )
| ! [SY267: $i] :
( ~ ( m1_subset_1 @ SY267 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ ( k1_group_1 @ SV28 @ SY265 @ SY266 ) @ SY267 )
= ( k1_group_1 @ SV28 @ SY265 @ ( k1_group_1 @ SV28 @ SY266 @ SY267 ) ) ) ) ) )
| ~ ! [SY268: $i] :
( ~ ( m1_subset_1 @ SY268 @ ( u1_struct_0 @ SV28 ) )
| ! [SY269: $i] :
( ~ ( m1_subset_1 @ SY269 @ ( u1_struct_0 @ SV28 ) )
| ~ ( ~ ~ ! [SY270: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY270 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY268 @ SY270 )
!= SY269 ) )
| ~ ~ ! [SY271: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY271 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY271 @ SY268 )
!= SY269 ) ) ) ) ) )
| ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6088]) ).
thf(6177,plain,
! [SV93: $i,SV81: $i,SV29: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV29 )
| ~ ( v3_group_1 @ SV29 ) )
| ~ ( v4_group_1 @ SV29 ) )
| ~ ( l1_group_1 @ SV29 ) )
| ~ ( m1_subset_1 @ SV81 @ ( u1_struct_0 @ SV29 ) ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV93 @ ( u1_struct_0 @ SV29 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k2_group_5 @ SV29 @ SV81 @ SV93 ) @ ( u1_struct_0 @ SV29 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6089]) ).
thf(6178,plain,
! [SV94: $i,SV82: $i,SV30: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV30 )
| ~ ( v3_group_1 @ SV30 ) )
| ~ ( v4_group_1 @ SV30 ) )
| ~ ( l1_group_1 @ SV30 ) )
| ~ ( m1_subset_1 @ SV82 @ ( u1_struct_0 @ SV30 ) ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV94 @ ( u1_struct_0 @ SV30 ) ) )
= $true )
| ( ( r2_group_3 @ SV30 @ SV82 @ SV82 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6090]) ).
thf(6179,plain,
( ( v3_struct_0 @ sK4_SX0 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6092]) ).
thf(6180,plain,
! [SV31: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV31 )
| ~ ( v3_group_1 @ SV31 ) )
| ~ ( v4_group_1 @ SV31 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV31 ) )
= $true )
| ( ( ! [SY276: $i] :
( ~ ( m1_subset_1 @ SY276 @ ( u1_struct_0 @ SV31 ) )
| ! [SY277: $i] :
( ~ ( m1_subset_1 @ SY277 @ ( u1_struct_0 @ SV31 ) )
| ( ( k3_group_1 @ SV31 @ SY276 )
!= ( k3_group_1 @ SV31 @ SY277 ) )
| ( SY276 = SY277 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6093]) ).
thf(6181,plain,
! [SV32: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV32 )
| ~ ( v3_group_1 @ SV32 ) )
| ~ ( v4_group_1 @ SV32 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV32 ) )
= $true )
| ( ( ! [SY278: $i] :
( ~ ( m1_subset_1 @ SY278 @ ( u1_struct_0 @ SV32 ) )
| ~ ( ( ( k2_group_5 @ SV32 @ SY278 @ ( k3_group_1 @ SV32 @ SY278 ) )
!= ( k2_group_1 @ SV32 ) )
| ( ( k2_group_5 @ SV32 @ ( k3_group_1 @ SV32 @ SY278 ) @ SY278 )
!= ( k2_group_1 @ SV32 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6094]) ).
thf(6182,plain,
! [SV33: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV33 )
| ~ ( v3_group_1 @ SV33 ) )
| ~ ( v4_group_1 @ SV33 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV33 ) )
= $true )
| ( ( ! [SY279: $i] :
( ~ ( m1_subset_1 @ SY279 @ ( u1_struct_0 @ SV33 ) )
| ! [SY280: $i] :
( ~ ( m1_subset_1 @ SY280 @ ( u1_struct_0 @ SV33 ) )
| ! [SY281: $i] :
( ~ ( m1_subset_1 @ SY281 @ ( u1_struct_0 @ SV33 ) )
| ( ( k2_group_3 @ SV33 @ SY279 @ SY280 )
!= ( k2_group_3 @ SV33 @ SY281 @ SY280 ) )
| ( SY279 = SY281 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6095]) ).
thf(6183,plain,
! [SV34: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV34 )
| ~ ( v3_group_1 @ SV34 ) )
| ~ ( v4_group_1 @ SV34 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV34 ) )
= $true )
| ( ( ! [SY282: $i] :
( ~ ( m1_subset_1 @ SY282 @ ( u1_struct_0 @ SV34 ) )
| ! [SY283: $i] :
( ~ ( m1_subset_1 @ SY283 @ ( u1_struct_0 @ SV34 ) )
| ~ ( ( ( k1_group_1 @ SV34 @ SY282 @ SY283 )
= ( k2_group_1 @ SV34 ) )
| ( ( k1_group_1 @ SV34 @ SY283 @ SY282 )
= ( k2_group_1 @ SV34 ) ) )
| ~ ( ( SY282
!= ( k3_group_1 @ SV34 @ SY283 ) )
| ( SY283
!= ( k3_group_1 @ SV34 @ SY282 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6096]) ).
thf(6184,plain,
! [SV83: $i,SV35: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV35 )
| ~ ( v3_group_1 @ SV35 ) )
| ~ ( v4_group_1 @ SV35 ) )
| ~ ( l1_group_1 @ SV35 ) )
| ~ ~ ( v3_struct_0 @ SV83 ) )
| ~ ( v3_group_1 @ SV83 ) )
| ~ ( v4_group_1 @ SV83 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV83 ) )
= $true )
| ( ( r1_group_6 @ SV35 @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6097]) ).
thf(6185,plain,
! [SV36: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV36 )
| ~ ( v3_group_1 @ SV36 ) )
| ~ ( v4_group_1 @ SV36 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV36 ) )
= $true )
| ( ( ! [SY285: $i] :
( ~ ( m1_subset_1 @ SY285 @ ( u1_struct_0 @ SV36 ) )
| ! [SY286: $i] :
( ~ ( m1_subset_1 @ SY286 @ ( u1_struct_0 @ SV36 ) )
| ! [SY287: $i] :
( ~ ( m1_subset_1 @ SY287 @ ( u1_struct_0 @ SV36 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV36 @ SY285 @ SY286 )
!= SY287 )
| ( SY285
= ( k1_group_1 @ SV36 @ SY287 @ ( k3_group_1 @ SV36 @ SY286 ) ) ) )
| ~ ( ( SY285
!= ( k1_group_1 @ SV36 @ SY287 @ ( k3_group_1 @ SV36 @ SY286 ) ) )
| ( ( k1_group_1 @ SV36 @ SY285 @ SY286 )
= SY287 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6098]) ).
thf(6186,plain,
! [SV37: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV37 )
| ~ ( v3_group_1 @ SV37 ) )
| ~ ( v4_group_1 @ SV37 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV37 ) )
= $true )
| ( ( ! [SY288: $i] :
( ~ ( m1_group_2 @ SY288 @ SV37 )
| ( v4_group_1 @ SY288 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6099]) ).
thf(6187,plain,
( ( ~ ~ ( ~ ( l1_group_1 @ sK5_SX0 )
| ~ ~ ( v3_struct_0 @ sK5_SX0 ) )
| ~ ( v4_group_1 @ sK5_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6100]) ).
thf(6188,plain,
! [SV38: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV38 )
| ~ ( v3_group_1 @ SV38 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV38 ) )
= $true )
| ( ( ! [SY289: $i] :
( ~ ( m1_group_2 @ SY289 @ SV38 )
| ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY289 )
| ~ ( v3_group_1 @ SY289 ) )
| ~ ( l1_group_1 @ SY289 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6102]) ).
thf(6189,plain,
! [SV40: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV40 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV40 ) )
= $true )
| ( ( ~ ( ~ ~ ( v3_struct_0 @ SV40 )
| ~ ( v2_group_1 @ SV40 ) ) )
= $true )
| ( ( l1_group_1 @ SV40 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6103]) ).
thf(6190,plain,
! [SV41: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV41 )
| ~ ( v3_group_1 @ SV41 ) )
| ~ ( v4_group_1 @ SV41 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV41 ) )
= $true )
| ( ( ! [SY291: $i] :
( ~ ( m1_subset_1 @ SY291 @ ( u1_struct_0 @ SV41 ) )
| ! [SY292: $i] :
( ~ ( m1_subset_1 @ SY292 @ ( u1_struct_0 @ SV41 ) )
| ( ( k3_group_1 @ SV41 @ ( k2_group_5 @ SV41 @ SY291 @ SY292 ) )
= ( k2_group_5 @ SV41 @ SY292 @ SY291 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6104]) ).
thf(6191,plain,
! [SV42: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV42 )
| ~ ( v3_group_1 @ SV42 ) )
| ~ ( v4_group_1 @ SV42 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV42 ) )
= $true )
| ( ( ! [SY293: $i] :
( ~ ( m1_subset_1 @ SY293 @ ( u1_struct_0 @ SV42 ) )
| ! [SY294: $i] :
( ~ ( m1_subset_1 @ SY294 @ ( u1_struct_0 @ SV42 ) )
| ( ( k3_group_5 @ SV42 @ SY293 @ SY293 @ SY294 )
= ( k2_group_1 @ SV42 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6105]) ).
thf(6192,plain,
! [SV43: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV43 )
| ~ ( v3_group_1 @ SV43 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV43 ) )
= $true )
| ( ( ! [SY295: $i] :
( ~ ( m1_subset_1 @ SY295 @ ( u1_struct_0 @ SV43 ) )
| ~ ! [SY296: $i] :
( ~ ( m1_subset_1 @ SY296 @ ( u1_struct_0 @ SV43 ) )
| ~ ( ( ( k1_group_1 @ SV43 @ SY296 @ SY295 )
!= SY296 )
| ( ( k1_group_1 @ SV43 @ SY295 @ SY296 )
!= SY296 ) ) )
| ( SY295
= ( k2_group_1 @ SV43 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6106]) ).
thf(6193,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( l1_group_1 @ sK6_SX0 )
| ~ ~ ( v3_struct_0 @ sK6_SX0 ) )
| ~ ( v1_group_1 @ sK6_SX0 ) )
| ~ ( v2_group_1 @ sK6_SX0 ) )
| ~ ( v3_group_1 @ sK6_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6107]) ).
thf(6194,plain,
! [SV44: $i] :
( ( ( v3_struct_0 @ SV44 )
= $true )
| ( ( ~ ( l1_group_1 @ SV44 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( v4_group_1 @ SV44 )
| ! [SY297: $i] :
( ~ ( m1_subset_1 @ SY297 @ ( u1_struct_0 @ SV44 ) )
| ! [SY298: $i] :
( ~ ( m1_subset_1 @ SY298 @ ( u1_struct_0 @ SV44 ) )
| ! [SY299: $i] :
( ~ ( m1_subset_1 @ SY299 @ ( u1_struct_0 @ SV44 ) )
| ( ( k1_group_1 @ SV44 @ ( k1_group_1 @ SV44 @ SY297 @ SY298 ) @ SY299 )
= ( k1_group_1 @ SV44 @ SY297 @ ( k1_group_1 @ SV44 @ SY298 @ SY299 ) ) ) ) ) ) )
| ~ ( ~ ! [SY300: $i] :
( ~ ( m1_subset_1 @ SY300 @ ( u1_struct_0 @ SV44 ) )
| ! [SY301: $i] :
( ~ ( m1_subset_1 @ SY301 @ ( u1_struct_0 @ SV44 ) )
| ! [SY302: $i] :
( ~ ( m1_subset_1 @ SY302 @ ( u1_struct_0 @ SV44 ) )
| ( ( k1_group_1 @ SV44 @ ( k1_group_1 @ SV44 @ SY300 @ SY301 ) @ SY302 )
= ( k1_group_1 @ SV44 @ SY300 @ ( k1_group_1 @ SV44 @ SY301 @ SY302 ) ) ) ) ) )
| ( v4_group_1 @ SV44 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6109]) ).
thf(6195,plain,
! [SV45: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV45 )
| ~ ( v3_group_1 @ SV45 ) )
| ~ ( v4_group_1 @ SV45 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV45 ) )
= $true )
| ( ( ! [SY303: $i] :
( ~ ( m1_subset_1 @ SY303 @ ( u1_struct_0 @ SV45 ) )
| ! [SY304: $i] :
( ~ ( m1_subset_1 @ SY304 @ ( u1_struct_0 @ SV45 ) )
| ( ( k3_group_1 @ SV45 @ ( k1_group_1 @ SV45 @ SY303 @ SY304 ) )
= ( k1_group_1 @ SV45 @ ( k3_group_1 @ SV45 @ SY304 ) @ ( k3_group_1 @ SV45 @ SY303 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6110]) ).
thf(6196,plain,
! [SV46: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV46 )
| ~ ( v1_group_1 @ SV46 ) )
| ~ ( v3_group_1 @ SV46 ) )
| ~ ( v4_group_1 @ SV46 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV46 ) )
= $true )
| ( ( ( k6_autgroup @ SV46 @ ( k2_group_1 @ SV46 ) )
= ( k6_partfun1 @ ( u1_struct_0 @ SV46 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6111]) ).
thf(6197,plain,
! [SV98: $i,SV95: $i,SV84: $i,SV47: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV47 )
| ~ ( v3_group_1 @ SV47 ) )
| ~ ( v4_group_1 @ SV47 ) )
| ~ ( l1_group_1 @ SV47 ) )
| ~ ( m1_subset_1 @ SV84 @ ( u1_struct_0 @ SV47 ) ) )
| ~ ( m1_subset_1 @ SV95 @ ( u1_struct_0 @ SV47 ) ) )
| ~ ( m1_subset_1 @ SV98 @ ( u1_struct_0 @ SV47 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k3_group_5 @ SV47 @ SV84 @ SV95 @ SV98 ) @ ( u1_struct_0 @ SV47 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6112]) ).
thf(6198,plain,
! [SV48: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV48 )
| ~ ( v3_group_1 @ SV48 ) )
| ~ ( v4_group_1 @ SV48 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV48 ) )
= $true )
| ( ( ! [SY308: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY308 )
| ~ ( v3_group_1 @ SY308 ) )
| ~ ( v4_group_1 @ SY308 ) )
| ~ ( l1_group_1 @ SY308 ) )
| ! [SY309: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY309 )
| ~ ( v3_group_1 @ SY309 ) )
| ~ ( v4_group_1 @ SY309 ) )
| ~ ( l1_group_1 @ SY309 ) )
| ~ ~ ( ~ ( r1_group_6 @ SV48 @ SY308 )
| ~ ( r1_group_6 @ SY308 @ SY309 ) )
| ( r1_group_6 @ SV48 @ SY309 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6113]) ).
thf(6199,plain,
! [SV85: $i,SV49: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV49 )
| ~ ( v3_group_1 @ SV49 ) )
| ~ ( v4_group_1 @ SV49 ) )
| ~ ( l1_group_1 @ SV49 ) ) )
= $false )
| ( ( ~ ( m1_subset_1 @ SV85 @ ( u1_struct_0 @ SV49 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k3_group_1 @ SV49 @ SV85 ) @ ( u1_struct_0 @ SV49 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6114]) ).
thf(6200,plain,
! [SV50: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV50 )
| ~ ( v3_group_1 @ SV50 ) )
| ~ ( v4_group_1 @ SV50 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV50 ) )
= $true )
| ( ( ( k3_group_1 @ SV50 @ ( k2_group_1 @ SV50 ) )
= ( k2_group_1 @ SV50 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6115]) ).
thf(6201,plain,
! [SV96: $i,SV86: $i,SV51: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV51 )
| ~ ( v3_group_1 @ SV51 ) )
| ~ ( v4_group_1 @ SV51 ) )
| ~ ( l1_group_1 @ SV51 ) )
| ~ ( m1_subset_1 @ SV86 @ ( u1_struct_0 @ SV51 ) ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV96 @ ( u1_struct_0 @ SV51 ) ) )
= $true )
| ( ( ~ ( r2_group_3 @ SV51 @ SV86 @ SV96 )
| ( r2_group_3 @ SV51 @ SV96 @ SV86 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6116]) ).
thf(6202,plain,
! [SV52: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV52 )
| ~ ( v1_group_1 @ SV52 ) )
| ~ ( v3_group_1 @ SV52 ) )
| ~ ( v4_group_1 @ SV52 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV52 ) )
= $true )
| ( ( ! [SY313: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY313 )
| ~ ( v1_group_1 @ SY313 ) )
| ~ ( v3_group_1 @ SY313 ) )
| ~ ( v4_group_1 @ SY313 ) )
| ~ ( l1_group_1 @ SY313 ) )
| ~ ( r1_group_6 @ SV52 @ SY313 )
| ( r1_group_6 @ SY313 @ SV52 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6117]) ).
thf(6203,plain,
! [SV53: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV53 )
| ~ ( v3_group_1 @ SV53 ) )
| ~ ( v4_group_1 @ SV53 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV53 ) )
= $true )
| ( ( ! [SY314: $i] :
( ~ ( m1_group_2 @ SY314 @ SV53 )
| ( ( k2_group_1 @ SY314 )
= ( k2_group_1 @ SV53 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6118]) ).
thf(6204,plain,
! [SV54: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV54 )
| ~ ( v3_group_1 @ SV54 ) )
| ~ ( v4_group_1 @ SV54 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV54 ) )
= $true )
| ( ( ! [SY315: $i] :
( ~ ( m1_subset_1 @ SY315 @ ( u1_struct_0 @ SV54 ) )
| ! [SY316: $i] :
( ~ ( m1_subset_1 @ SY316 @ ( u1_struct_0 @ SV54 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV54 @ SY315 @ SY316 )
!= ( k1_group_1 @ SV54 @ SY316 @ SY315 ) )
| ( ( k1_group_1 @ SV54 @ SY315 @ ( k3_group_1 @ SV54 @ SY316 ) )
= ( k1_group_1 @ SV54 @ ( k3_group_1 @ SV54 @ SY316 ) @ SY315 ) ) )
| ~ ( ( ( k1_group_1 @ SV54 @ SY315 @ ( k3_group_1 @ SV54 @ SY316 ) )
!= ( k1_group_1 @ SV54 @ ( k3_group_1 @ SV54 @ SY316 ) @ SY315 ) )
| ( ( k1_group_1 @ SV54 @ SY315 @ SY316 )
= ( k1_group_1 @ SV54 @ SY316 @ SY315 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6119]) ).
thf(6205,plain,
! [SV55: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV55 )
| ~ ( v3_group_1 @ SV55 ) )
| ~ ( v4_group_1 @ SV55 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV55 ) )
= $true )
| ( ( ! [SY317: $i] :
( ~ ( m1_subset_1 @ SY317 @ ( u1_struct_0 @ SV55 ) )
| ! [SY318: $i] :
( ~ ( m1_group_2 @ SY318 @ SV55 )
| ! [SY319: $i] :
( ~ ( m1_subset_1 @ SY319 @ ( u1_struct_0 @ SY318 ) )
| ( SY319 != SY317 )
| ( ( k3_group_1 @ SY318 @ SY319 )
= ( k3_group_1 @ SV55 @ SY317 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6120]) ).
thf(6206,plain,
! [SV56: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV56 )
| ~ ( v3_group_1 @ SV56 ) )
| ~ ( v4_group_1 @ SV56 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV56 ) )
= $true )
| ( ( ! [SY320: $i] :
( ~ ( m1_subset_1 @ SY320 @ ( u1_struct_0 @ SV56 ) )
| ! [SY321: $i] :
( ~ ( m1_subset_1 @ SY321 @ ( u1_struct_0 @ SV56 ) )
| ~ ~ ( ( ( k1_group_1 @ SV56 @ SY320 @ SY321 )
!= ( k2_group_1 @ SV56 ) )
| ( ( k1_group_1 @ SV56 @ SY321 @ SY320 )
!= ( k2_group_1 @ SV56 ) ) )
| ( SY321
= ( k3_group_1 @ SV56 @ SY320 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6121]) ).
thf(6207,plain,
! [SV57: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV57 )
| ~ ( v3_group_1 @ SV57 ) )
| ~ ( v4_group_1 @ SV57 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV57 ) )
= $true )
| ( ( ! [SY322: $i] :
( ~ ( m1_subset_1 @ SY322 @ ( u1_struct_0 @ SV57 ) )
| ( ( k2_group_3 @ SV57 @ SY322 @ SY322 )
= SY322 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6122]) ).
thf(6208,plain,
! [SV58: $i,SV99: $i] :
( ( ( m1_subset_1 @ SV99 @ SV58 )
= $false )
| ( ( SV99
= ( k8_subset_1 @ SV58 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[6123]) ).
thf(6209,plain,
! [SV59: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV59 )
| ~ ( v3_group_1 @ SV59 ) )
| ~ ( v4_group_1 @ SV59 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV59 ) )
= $true )
| ( ( ! [SY324: $i] :
( ~ ( m1_subset_1 @ SY324 @ ( u1_struct_0 @ SV59 ) )
| ! [SY325: $i] :
( ~ ( m1_subset_1 @ SY325 @ ( u1_struct_0 @ SV59 ) )
| ~ ! [SY326: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY326 @ ( u1_struct_0 @ SV59 ) )
| ( ( k1_group_1 @ SV59 @ SY324 @ SY326 )
!= SY325 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6124]) ).
thf(6210,plain,
! [SV60: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV60 )
| ~ ( v3_group_1 @ SV60 ) )
| ~ ( v4_group_1 @ SV60 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV60 ) )
= $true )
| ( ( ! [SY327: $i] :
( ~ ( m1_subset_1 @ SY327 @ ( u1_struct_0 @ SV60 ) )
| ! [SY328: $i] :
( ~ ( m1_subset_1 @ SY328 @ ( u1_struct_0 @ SV60 ) )
| ~ ( ~ ( ( SY328
!= ( k3_group_1 @ SV60 @ SY327 ) )
| ~ ( ( ( k1_group_1 @ SV60 @ SY327 @ SY328 )
!= ( k2_group_1 @ SV60 ) )
| ( ( k1_group_1 @ SV60 @ SY328 @ SY327 )
!= ( k2_group_1 @ SV60 ) ) ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV60 @ SY327 @ SY328 )
!= ( k2_group_1 @ SV60 ) )
| ( ( k1_group_1 @ SV60 @ SY328 @ SY327 )
!= ( k2_group_1 @ SV60 ) ) )
| ( SY328
= ( k3_group_1 @ SV60 @ SY327 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6125]) ).
thf(6211,plain,
! [SV87: $i,SV61: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV61 )
| ~ ( v1_group_1 @ SV61 ) )
| ~ ( v3_group_1 @ SV61 ) )
| ~ ( v4_group_1 @ SV61 ) )
| ~ ( l1_group_1 @ SV61 ) )
| ~ ~ ( v3_struct_0 @ SV87 ) )
| ~ ( v1_group_1 @ SV87 ) )
| ~ ( v3_group_1 @ SV87 ) )
| ~ ( v4_group_1 @ SV87 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( r2_group_6 @ SV61 @ SV87 )
| ( r2_group_6 @ SV87 @ SV61 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6126]) ).
thf(6212,plain,
! [SV62: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV62 )
| ~ ( v1_group_1 @ SV62 ) )
| ~ ( v3_group_1 @ SV62 ) )
| ~ ( v4_group_1 @ SV62 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV62 ) )
= $true )
| ( ( ! [SY330: $i] :
( ~ ( m1_subset_1 @ SY330 @ ( u1_struct_0 @ SV62 ) )
| ( ( k8_funct_2 @ ( u1_struct_0 @ SV62 ) @ ( u1_struct_0 @ SV62 ) @ ( k6_autgroup @ SV62 @ ( k2_group_1 @ SV62 ) ) @ SY330 )
= SY330 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6127]) ).
thf(6213,plain,
( ( v3_struct_0 @ sK8_SX0 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6129]) ).
thf(6214,plain,
! [SV97: $i,SV88: $i,SV63: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV63 )
| ~ ( l1_group_1 @ SV63 ) )
| ~ ( m1_subset_1 @ SV88 @ ( u1_struct_0 @ SV63 ) ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV97 @ ( u1_struct_0 @ SV63 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k1_group_1 @ SV63 @ SV88 @ SV97 ) @ ( u1_struct_0 @ SV63 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6132]) ).
thf(6215,plain,
! [SV64: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV64 )
| ~ ( v3_group_1 @ SV64 ) )
| ~ ( v4_group_1 @ SV64 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV64 ) )
= $true )
| ( ( ! [SY333: $i] :
( ~ ( m1_subset_1 @ SY333 @ ( u1_struct_0 @ SV64 ) )
| ( ( k2_group_5 @ SV64 @ SY333 @ SY333 )
= ( k2_group_1 @ SV64 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6133]) ).
thf(6216,plain,
! [SV66: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV66 )
| ~ ( v3_group_1 @ SV66 ) )
| ~ ( v4_group_1 @ SV66 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV66 ) )
= $true )
| ( ( ! [SY335: $i] :
( ~ ( m1_subset_1 @ SY335 @ ( u1_struct_0 @ SV66 ) )
| ! [SY336: $i] :
( ~ ( m1_subset_1 @ SY336 @ ( u1_struct_0 @ SV66 ) )
| ~ ( r1_group_3 @ SV66 @ SY335 @ SY336 )
| ( r1_group_3 @ SV66 @ SY336 @ SY335 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6134]) ).
thf(6217,plain,
! [SV67: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV67 )
| ~ ( v3_group_1 @ SV67 ) )
| ~ ( v4_group_1 @ SV67 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV67 ) )
= $true )
| ( ( ! [SY337: $i] :
( ~ ( m1_subset_1 @ SY337 @ ( u1_struct_0 @ SV67 ) )
| ( ( k3_group_1 @ SV67 @ ( k3_group_1 @ SV67 @ SY337 ) )
= SY337 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6135]) ).
thf(6218,plain,
! [SV68: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV68 )
| ~ ( v3_group_1 @ SV68 ) )
| ~ ( v4_group_1 @ SV68 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV68 ) )
= $true )
| ( ( ! [SY338: $i] :
( ~ ( m1_subset_1 @ SY338 @ ( u1_struct_0 @ SV68 ) )
| ( ( k2_group_3 @ SV68 @ SY338 @ ( k2_group_1 @ SV68 ) )
= SY338 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6136]) ).
thf(6219,plain,
! [SV101: $i,SV100: $i,SV90: $i,SV69: $i] :
( ( ( ( g2_struct_0 @ SV69 @ SV90 )
!= ( g2_struct_0 @ SV100 @ SV101 ) )
= $true )
| ( ( ~ ( ( SV69 != SV100 )
| ( SV90 != SV101 ) ) )
= $true )
| ( ( m1_subset_1 @ SV90 @ SV69 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6137]) ).
thf(6220,plain,
! [SV70: $i] :
( ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( ~ ( l1_group_1 @ SV70 ) )
= $true )
| ( ( ~ ! [SY342: $i] :
( ~ ( m1_subset_1 @ SY342 @ ( u1_struct_0 @ SV70 ) )
| ! [SY343: $i] :
( ~ ( m1_subset_1 @ SY343 @ ( u1_struct_0 @ SV70 ) )
| ! [SY344: $i] :
( ~ ( m1_subset_1 @ SY344 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ SY342 @ SY343 ) @ SY344 )
= ( k1_group_1 @ SV70 @ SY342 @ ( k1_group_1 @ SV70 @ SY343 @ SY344 ) ) ) ) ) )
| ! [SY345: $i] :
( ~ ( m1_subset_1 @ SY345 @ ( u1_struct_0 @ SV70 ) )
| ~ ! [SY346: $i] :
( ~ ( m1_subset_1 @ SY346 @ ( u1_struct_0 @ SV70 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV70 @ SY346 @ SY345 )
!= SY346 )
| ( ( k1_group_1 @ SV70 @ SY345 @ SY346 )
!= SY346 ) )
| ~ ~ ! [SY347: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY347 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ SY346 @ SY347 )
!= SY345 ) )
| ( ( k1_group_1 @ SV70 @ SY347 @ SY346 )
!= SY345 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6138]) ).
thf(6221,plain,
! [SV71: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV71 )
| ~ ( v3_group_1 @ SV71 ) )
| ~ ( v4_group_1 @ SV71 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV71 ) )
= $true )
| ( ( ! [SY348: $i] :
( ~ ( m1_subset_1 @ SY348 @ ( u1_struct_0 @ SV71 ) )
| ! [SY349: $i] :
( ~ ( m1_subset_1 @ SY349 @ ( u1_struct_0 @ SV71 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SY348 @ SY349 ) @ ( k3_group_1 @ SV71 @ SY349 ) )
!= SY348 )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SY348 @ ( k3_group_1 @ SV71 @ SY349 ) ) @ SY349 )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY349 ) @ SY349 ) @ SY348 )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SY349 @ ( k3_group_1 @ SV71 @ SY349 ) ) @ SY348 )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ SY348 @ ( k1_group_1 @ SV71 @ SY349 @ ( k3_group_1 @ SV71 @ SY349 ) ) )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ SY348 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY349 ) @ SY349 ) )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY349 ) @ ( k1_group_1 @ SV71 @ SY349 @ SY348 ) )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ SY349 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY349 ) @ SY348 ) )
!= SY348 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6139]) ).
thf(6222,plain,
! [SV91: $i,SV72: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV72 )
| ~ ( v1_group_1 @ SV72 ) )
| ~ ( v3_group_1 @ SV72 ) )
| ~ ( v4_group_1 @ SV72 ) )
| ~ ( l1_group_1 @ SV72 ) )
| ~ ~ ( v3_struct_0 @ SV91 ) )
| ~ ( v1_group_1 @ SV91 ) )
| ~ ( v3_group_1 @ SV91 ) )
| ~ ( v4_group_1 @ SV91 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV91 ) )
= $true )
| ( ( r2_group_6 @ SV72 @ SV72 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6140]) ).
thf(6223,plain,
! [SV73: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV73 )
| ~ ( v3_group_1 @ SV73 ) )
| ~ ( v4_group_1 @ SV73 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV73 ) )
= $true )
| ( ( ! [SY351: $i] :
( ~ ( m1_subset_1 @ SY351 @ ( u1_struct_0 @ SV73 ) )
| ~ ( ( ( k2_group_3 @ SV73 @ SY351 @ ( k3_group_1 @ SV73 @ SY351 ) )
!= SY351 )
| ( ( k2_group_3 @ SV73 @ ( k3_group_1 @ SV73 @ SY351 ) @ SY351 )
!= ( k3_group_1 @ SV73 @ SY351 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6141]) ).
thf(6224,plain,
! [SV74: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV74 )
| ~ ( v3_group_1 @ SV74 ) )
| ~ ( v4_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV74 ) )
= $true )
| ( ( ! [SY352: $i] :
( ~ ( m1_subset_1 @ SY352 @ ( u1_struct_0 @ SV74 ) )
| ! [SY353: $i] :
( ~ ( m1_subset_1 @ SY353 @ ( u1_struct_0 @ SV74 ) )
| ! [SY354: $i] :
( ~ ( m1_subset_1 @ SY354 @ ( u1_struct_0 @ SV74 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV74 @ SY352 @ SY353 )
!= SY354 )
| ( SY353
= ( k1_group_1 @ SV74 @ ( k3_group_1 @ SV74 @ SY352 ) @ SY354 ) ) )
| ~ ( ( SY353
!= ( k1_group_1 @ SV74 @ ( k3_group_1 @ SV74 @ SY352 ) @ SY354 ) )
| ( ( k1_group_1 @ SV74 @ SY352 @ SY353 )
= SY354 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6142]) ).
thf(6225,plain,
! [SV75: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV75 )
| ~ ( v3_group_1 @ SV75 ) )
| ~ ( v4_group_1 @ SV75 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV75 ) )
= $true )
| ( ( ! [SY355: $i] :
( ~ ( m1_subset_1 @ SY355 @ ( u1_struct_0 @ SV75 ) )
| ( ( k3_group_1 @ SV75 @ SY355 )
!= ( k2_group_1 @ SV75 ) )
| ( SY355
= ( k2_group_1 @ SV75 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6143]) ).
thf(6226,plain,
( ( ~ ( l1_group_1 @ sK10_SX0 )
| ~ ~ ( v3_struct_0 @ sK10_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6144]) ).
thf(6227,plain,
! [SV76: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV76 )
| ~ ( v3_group_1 @ SV76 ) )
| ~ ( v4_group_1 @ SV76 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV76 ) )
= $true )
| ( ( ~ ( v5_group_1 @ ( k2_group_1 @ SV76 ) @ SV76 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6146]) ).
thf(6228,plain,
! [SV77: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV77 )
| ~ ( v3_group_1 @ SV77 ) )
| ~ ( v4_group_1 @ SV77 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV77 ) )
= $true )
| ( ( ! [SY356: $i] :
( ~ ( m1_subset_1 @ SY356 @ ( u1_struct_0 @ SV77 ) )
| ! [SY357: $i] :
( ~ ( m1_subset_1 @ SY357 @ ( u1_struct_0 @ SV77 ) )
| ~ ! [SY358: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY358 @ ( u1_struct_0 @ SV77 ) )
| ( ( k1_group_1 @ SV77 @ SY358 @ SY356 )
!= SY357 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6147]) ).
thf(6229,plain,
! [SV78: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV78 )
| ~ ( v3_group_1 @ SV78 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV78 ) )
= $true )
| ( ( ~ ! [SY359: $i] :
~ ( m1_group_2 @ SY359 @ SV78 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6148]) ).
thf(6230,plain,
( ( v3_struct_0 @ sK11_SX0 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6150]) ).
thf(6231,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV2 )
| ~ ( v1_group_1 @ SV2 ) )
| ~ ( v3_group_1 @ SV2 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV2 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV2 ) )
= $true )
| ( ( ! [SY222: $i] :
( ~ ( m1_subset_1 @ SY222 @ ( u1_struct_0 @ SV2 ) )
| ! [SY223: $i] :
( ~ ( m1_subset_1 @ SY223 @ ( u1_struct_0 @ SV2 ) )
| ( ( k6_autgroup @ SV2 @ ( k1_group_1 @ SV2 @ SY222 @ SY223 ) )
= ( k7_funct_2 @ ( u1_struct_0 @ SV2 ) @ ( u1_struct_0 @ SV2 ) @ ( u1_struct_0 @ SV2 ) @ ( k6_autgroup @ SV2 @ SY222 ) @ ( k6_autgroup @ SV2 @ SY223 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6152]) ).
thf(6232,plain,
! [SV3: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV3 )
| ~ ( v3_group_1 @ SV3 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV3 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV3 ) )
= $true )
| ( ( ! [SY224: $i] :
( ~ ( m1_subset_1 @ SY224 @ ( u1_struct_0 @ SV3 ) )
| ! [SY225: $i] :
( ~ ( m1_subset_1 @ SY225 @ ( u1_struct_0 @ SV3 ) )
| ~ ( ( ( k1_group_1 @ SV3 @ SY224 @ SY225 )
= SY224 )
| ( ( k1_group_1 @ SV3 @ SY225 @ SY224 )
= SY224 ) )
| ( SY225
= ( k2_group_1 @ SV3 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6153]) ).
thf(6233,plain,
! [SV4: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV4 )
| ~ ( v3_group_1 @ SV4 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV4 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV4 ) )
= $true )
| ( ( ! [SY226: $i] :
( ~ ( m1_group_2 @ SY226 @ SV4 )
| ! [SY227: $i] :
( ~ ( m1_group_2 @ SY227 @ SV4 )
| ( ( k2_group_1 @ SY226 )
= ( k2_group_1 @ SY227 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6154]) ).
thf(6234,plain,
! [SV5: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV5 )
| ~ ( v3_group_1 @ SV5 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV5 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV5 ) )
= $true )
| ( ( ! [SY228: $i] :
( ~ ( m1_subset_1 @ SY228 @ ( u1_struct_0 @ SV5 ) )
| ! [SY229: $i] :
( ~ ( m1_subset_1 @ SY229 @ ( u1_struct_0 @ SV5 ) )
| ~ ( ( ( k2_group_3 @ SV5 @ ( k2_group_3 @ SV5 @ SY228 @ SY229 ) @ ( k3_group_1 @ SV5 @ SY229 ) )
!= SY228 )
| ( ( k2_group_3 @ SV5 @ ( k2_group_3 @ SV5 @ SY228 @ ( k3_group_1 @ SV5 @ SY229 ) ) @ SY229 )
!= SY228 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6155]) ).
thf(6235,plain,
! [SV6: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV6 )
| ~ ( v3_group_1 @ SV6 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV6 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV6 ) )
= $true )
| ( ( ! [SY230: $i] :
( ~ ( m1_subset_1 @ SY230 @ ( u1_struct_0 @ SV6 ) )
| ( ( k2_group_3 @ SV6 @ ( k2_group_1 @ SV6 ) @ SY230 )
= ( k2_group_1 @ SV6 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6156]) ).
thf(6236,plain,
! [SV7: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV7 )
| ~ ( v3_group_1 @ SV7 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV7 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV7 ) )
= $true )
| ( ( ! [SY231: $i] :
( ~ ( m1_subset_1 @ SY231 @ ( u1_struct_0 @ SV7 ) )
| ~ ( ( r2_group_3 @ SV7 @ SY231 @ ( k2_group_1 @ SV7 ) )
| ( r2_group_3 @ SV7 @ ( k2_group_1 @ SV7 ) @ SY231 ) )
| ( SY231
= ( k2_group_1 @ SV7 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6157]) ).
thf(6237,plain,
! [SV8: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV8 )
| ~ ( v3_group_1 @ SV8 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV8 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV8 ) )
= $true )
| ( ( ! [SY232: $i] :
( ~ ( m1_subset_1 @ SY232 @ ( u1_struct_0 @ SV8 ) )
| ! [SY233: $i] :
( ~ ( m1_subset_1 @ SY233 @ ( u1_struct_0 @ SV8 ) )
| ! [SY234: $i] :
( ~ ( m1_subset_1 @ SY234 @ ( u1_struct_0 @ SV8 ) )
| ~ ( ( ( k1_group_1 @ SV8 @ SY232 @ SY233 )
= ( k1_group_1 @ SV8 @ SY232 @ SY234 ) )
| ( ( k1_group_1 @ SV8 @ SY233 @ SY232 )
= ( k1_group_1 @ SV8 @ SY234 @ SY232 ) ) )
| ( SY233 = SY234 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6158]) ).
thf(6238,plain,
! [SV9: $i] :
( ( ( l1_group_1 @ SV9 )
= $false )
| ( ( v3_struct_0 @ SV9 )
= $true )
| ( ( m1_subset_1 @ ( k2_group_1 @ SV9 ) @ ( u1_struct_0 @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6159]) ).
thf(6239,plain,
! [SV10: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV10 )
| ~ ( v3_group_1 @ SV10 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV10 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV10 ) )
= $true )
| ( ( ! [SY235: $i] :
( ~ ( m1_subset_1 @ SY235 @ ( u1_struct_0 @ SV10 ) )
| ! [SY236: $i] :
( ~ ( m1_subset_1 @ SY236 @ ( u1_struct_0 @ SV10 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV10 @ SY235 @ SY236 )
!= ( k1_group_1 @ SV10 @ SY236 @ SY235 ) )
| ( ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY235 ) @ ( k3_group_1 @ SV10 @ SY236 ) )
= ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY236 ) @ ( k3_group_1 @ SV10 @ SY235 ) ) ) )
| ~ ( ( ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY235 ) @ ( k3_group_1 @ SV10 @ SY236 ) )
!= ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY236 ) @ ( k3_group_1 @ SV10 @ SY235 ) ) )
| ( ( k1_group_1 @ SV10 @ SY235 @ SY236 )
= ( k1_group_1 @ SV10 @ SY236 @ SY235 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6160]) ).
thf(6240,plain,
! [SV11: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV11 )
| ~ ( v1_group_1 @ SV11 ) )
| ~ ( v3_group_1 @ SV11 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV11 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV11 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k3_autgroup @ SV11 ) )
| ~ ( v1_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( v3_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( v4_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( l1_group_1 @ ( k3_autgroup @ SV11 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6161]) ).
thf(6241,plain,
! [SV12: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV12 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV12 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV12 ) )
= $true )
| ( ( ! [SY237: $i] :
( ~ ( m1_group_2 @ SY237 @ SV12 )
| ! [SY238: $i] :
( ~ ( m1_subset_1 @ SY238 @ ( u1_struct_0 @ SY237 ) )
| ( m1_subset_1 @ SY238 @ ( u1_struct_0 @ SV12 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6162]) ).
thf(6242,plain,
! [SV13: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV13 )
| ~ ( v3_group_1 @ SV13 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV13 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV13 ) )
= $true )
| ( ( ! [SY239: $i] :
( ~ ( m1_subset_1 @ SY239 @ ( u1_struct_0 @ SV13 ) )
| ! [SY240: $i] :
( ~ ( m1_subset_1 @ SY240 @ ( u1_struct_0 @ SV13 ) )
| ~ ( ~ ~ ( ( ( k3_group_5 @ SV13 @ SY239 @ SY240 @ ( k2_group_1 @ SV13 ) )
!= ( k2_group_1 @ SV13 ) )
| ( ( k3_group_5 @ SV13 @ SY239 @ ( k2_group_1 @ SV13 ) @ SY240 )
!= ( k2_group_1 @ SV13 ) ) )
| ( ( k3_group_5 @ SV13 @ ( k2_group_1 @ SV13 ) @ SY239 @ SY240 )
!= ( k2_group_1 @ SV13 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6163]) ).
thf(6243,plain,
! [SV15: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV15 )
| ~ ( v3_group_1 @ SV15 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV15 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV15 ) )
= $true )
| ( ( ! [SY241: $i] :
( ~ ( m1_subset_1 @ SY241 @ ( u1_struct_0 @ SV15 ) )
| ! [SY242: $i] :
( ~ ( m1_subset_1 @ SY242 @ ( u1_struct_0 @ SV15 ) )
| ( ( k2_group_3 @ SV15 @ ( k3_group_1 @ SV15 @ SY241 ) @ SY242 )
= ( k3_group_1 @ SV15 @ ( k2_group_3 @ SV15 @ SY241 @ SY242 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6164]) ).
thf(6244,plain,
! [SV16: $i] :
( ( ( l1_group_1 @ SV16 )
= $false )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( ~ ( ~ ( ~ ( v3_group_1 @ SV16 )
| ~ ! [SY243: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY243 @ ( u1_struct_0 @ SV16 ) )
| ~ ! [SY244: $i] :
( ~ ( m1_subset_1 @ SY244 @ ( u1_struct_0 @ SV16 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV16 @ SY244 @ SY243 )
!= SY244 )
| ( ( k1_group_1 @ SV16 @ SY243 @ SY244 )
!= SY244 ) )
| ~ ~ ! [SY245: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY245 @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ SY244 @ SY245 )
!= SY243 ) )
| ( ( k1_group_1 @ SV16 @ SY245 @ SY244 )
!= SY243 ) ) ) ) ) )
| ~ ( ~ ~ ! [SY246: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY246 @ ( u1_struct_0 @ SV16 ) )
| ~ ! [SY247: $i] :
( ~ ( m1_subset_1 @ SY247 @ ( u1_struct_0 @ SV16 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV16 @ SY247 @ SY246 )
!= SY247 )
| ( ( k1_group_1 @ SV16 @ SY246 @ SY247 )
!= SY247 ) )
| ~ ~ ! [SY248: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY248 @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ SY247 @ SY248 )
!= SY246 ) )
| ( ( k1_group_1 @ SV16 @ SY248 @ SY247 )
!= SY246 ) ) ) ) )
| ( v3_group_1 @ SV16 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6165]) ).
thf(6245,plain,
! [SV17: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV17 )
| ~ ( v3_group_1 @ SV17 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV17 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV17 ) )
= $true )
| ( ( ! [SY249: $i] :
( ~ ( m1_subset_1 @ SY249 @ ( u1_struct_0 @ SV17 ) )
| ! [SY250: $i] :
( ~ ( m1_subset_1 @ SY250 @ ( u1_struct_0 @ SV17 ) )
| ( ( k2_group_3 @ SV17 @ SY249 @ SY250 )
!= ( k2_group_1 @ SV17 ) )
| ( SY249
= ( k2_group_1 @ SV17 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6166]) ).
thf(6246,plain,
! [SV18: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV18 )
| ~ ( v3_group_1 @ SV18 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV18 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV18 ) )
= $true )
| ( ( ! [SY251: $i] :
( ~ ( m1_subset_1 @ SY251 @ ( u1_struct_0 @ SV18 ) )
| ( r1_group_3 @ SV18 @ SY251 @ SY251 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6167]) ).
thf(6247,plain,
! [SV92: $i,SV79: $i,SV19: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV19 )
| ~ ( v3_group_1 @ SV19 ) )
| ~ ( v4_group_1 @ SV19 ) )
| ~ ( l1_group_1 @ SV19 ) )
| ~ ( m1_subset_1 @ SV79 @ ( u1_struct_0 @ SV19 ) ) ) )
= $false )
| ( ( ~ ( m1_subset_1 @ SV92 @ ( u1_struct_0 @ SV19 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k2_group_3 @ SV19 @ SV79 @ SV92 ) @ ( u1_struct_0 @ SV19 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6168]) ).
thf(6248,plain,
! [SV21: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV21 )
| ~ ( v3_group_1 @ SV21 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV21 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV21 ) )
= $true )
| ( ( ! [SY254: $i] :
( ~ ( m1_subset_1 @ SY254 @ ( u1_struct_0 @ SV21 ) )
| ! [SY255: $i] :
( ~ ( m1_subset_1 @ SY255 @ ( u1_struct_0 @ SV21 ) )
| ! [SY256: $i] :
( ~ ( m1_subset_1 @ SY256 @ ( u1_struct_0 @ SV21 ) )
| ~ ~ ( ~ ( r2_group_3 @ SV21 @ SY254 @ SY255 )
| ~ ( r2_group_3 @ SV21 @ SY255 @ SY256 ) )
| ( r2_group_3 @ SV21 @ SY254 @ SY256 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6169]) ).
thf(6249,plain,
! [SV22: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV22 )
| ~ ( v1_group_1 @ SV22 ) )
| ~ ( v3_group_1 @ SV22 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV22 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV22 ) )
= $true )
| ( ( ! [SY257: $i] :
( ~ ~ ( ~ ( v1_group_1 @ SY257 )
| ~ ( m1_group_2 @ SY257 @ SV22 ) )
| ( ( u1_struct_0 @ SY257 )
!= ( u1_struct_0 @ SV22 ) )
| ( SY257 = SV22 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6170]) ).
thf(6250,plain,
! [SV23: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV23 )
| ~ ( v3_group_1 @ SV23 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV23 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV23 ) )
= $true )
| ( ( ! [SY258: $i] :
( ~ ( m1_subset_1 @ SY258 @ ( u1_struct_0 @ SV23 ) )
| ! [SY259: $i] :
( ~ ( m1_subset_1 @ SY259 @ ( u1_struct_0 @ SV23 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV23 @ SY258 @ SY259 )
!= ( k1_group_1 @ SV23 @ SY259 @ SY258 ) )
| ( ( k3_group_1 @ SV23 @ ( k1_group_1 @ SV23 @ SY258 @ SY259 ) )
= ( k1_group_1 @ SV23 @ ( k3_group_1 @ SV23 @ SY258 ) @ ( k3_group_1 @ SV23 @ SY259 ) ) ) )
| ~ ( ( ( k3_group_1 @ SV23 @ ( k1_group_1 @ SV23 @ SY258 @ SY259 ) )
!= ( k1_group_1 @ SV23 @ ( k3_group_1 @ SV23 @ SY258 ) @ ( k3_group_1 @ SV23 @ SY259 ) ) )
| ( ( k1_group_1 @ SV23 @ SY258 @ SY259 )
= ( k1_group_1 @ SV23 @ SY259 @ SY258 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6171]) ).
thf(6251,plain,
! [SV24: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV24 )
| ~ ( v3_group_1 @ SV24 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV24 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV24 ) )
= $true )
| ( ( ! [SY260: $i] :
( ~ ( m1_subset_1 @ SY260 @ ( u1_struct_0 @ SV24 ) )
| ~ ( ( ( k2_group_5 @ SV24 @ ( k2_group_1 @ SV24 ) @ SY260 )
!= ( k2_group_1 @ SV24 ) )
| ( ( k2_group_5 @ SV24 @ SY260 @ ( k2_group_1 @ SV24 ) )
!= ( k2_group_1 @ SV24 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6172]) ).
thf(6252,plain,
! [SV25: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV25 )
| ~ ( v3_group_1 @ SV25 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV25 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV25 ) )
= $true )
| ( ( m1_group_2 @ SV25 @ SV25 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6173]) ).
thf(6253,plain,
! [SV26: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV26 )
| ~ ( v3_group_1 @ SV26 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV26 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV26 ) )
= $true )
| ( ( ! [SY261: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY261 )
| ~ ( v3_group_1 @ SY261 ) )
| ~ ( v4_group_1 @ SY261 ) )
| ~ ( l1_group_1 @ SY261 ) )
| ! [SY262: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY262 )
| ~ ( v3_group_1 @ SY262 ) )
| ~ ( v4_group_1 @ SY262 ) )
| ~ ( l1_group_1 @ SY262 ) )
| ~ ~ ( ~ ( m1_group_2 @ SV26 @ SY261 )
| ~ ( m1_group_2 @ SY261 @ SY262 ) )
| ( m1_group_2 @ SV26 @ SY262 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6174]) ).
thf(6254,plain,
! [SV28: $i] :
( ( ( l1_group_1 @ SV28 )
= $false )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( ~ ~ ( ~ ! [SY265: $i] :
( ~ ( m1_subset_1 @ SY265 @ ( u1_struct_0 @ SV28 ) )
| ! [SY266: $i] :
( ~ ( m1_subset_1 @ SY266 @ ( u1_struct_0 @ SV28 ) )
| ! [SY267: $i] :
( ~ ( m1_subset_1 @ SY267 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ ( k1_group_1 @ SV28 @ SY265 @ SY266 ) @ SY267 )
= ( k1_group_1 @ SV28 @ SY265 @ ( k1_group_1 @ SV28 @ SY266 @ SY267 ) ) ) ) ) )
| ~ ! [SY268: $i] :
( ~ ( m1_subset_1 @ SY268 @ ( u1_struct_0 @ SV28 ) )
| ! [SY269: $i] :
( ~ ( m1_subset_1 @ SY269 @ ( u1_struct_0 @ SV28 ) )
| ~ ( ~ ~ ! [SY270: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY270 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY268 @ SY270 )
!= SY269 ) )
| ~ ~ ! [SY271: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY271 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY271 @ SY268 )
!= SY269 ) ) ) ) ) )
| ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6176]) ).
thf(6255,plain,
! [SV93: $i,SV81: $i,SV29: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV29 )
| ~ ( v3_group_1 @ SV29 ) )
| ~ ( v4_group_1 @ SV29 ) )
| ~ ( l1_group_1 @ SV29 ) )
| ~ ( m1_subset_1 @ SV81 @ ( u1_struct_0 @ SV29 ) ) ) )
= $false )
| ( ( ~ ( m1_subset_1 @ SV93 @ ( u1_struct_0 @ SV29 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k2_group_5 @ SV29 @ SV81 @ SV93 ) @ ( u1_struct_0 @ SV29 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6177]) ).
thf(6256,plain,
! [SV94: $i,SV82: $i,SV30: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV30 )
| ~ ( v3_group_1 @ SV30 ) )
| ~ ( v4_group_1 @ SV30 ) )
| ~ ( l1_group_1 @ SV30 ) )
| ~ ( m1_subset_1 @ SV82 @ ( u1_struct_0 @ SV30 ) ) ) )
= $false )
| ( ( ~ ( m1_subset_1 @ SV94 @ ( u1_struct_0 @ SV30 ) ) )
= $true )
| ( ( r2_group_3 @ SV30 @ SV82 @ SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6178]) ).
thf(6257,plain,
! [SV31: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV31 )
| ~ ( v3_group_1 @ SV31 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV31 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV31 ) )
= $true )
| ( ( ! [SY276: $i] :
( ~ ( m1_subset_1 @ SY276 @ ( u1_struct_0 @ SV31 ) )
| ! [SY277: $i] :
( ~ ( m1_subset_1 @ SY277 @ ( u1_struct_0 @ SV31 ) )
| ( ( k3_group_1 @ SV31 @ SY276 )
!= ( k3_group_1 @ SV31 @ SY277 ) )
| ( SY276 = SY277 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6180]) ).
thf(6258,plain,
! [SV32: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV32 )
| ~ ( v3_group_1 @ SV32 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV32 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV32 ) )
= $true )
| ( ( ! [SY278: $i] :
( ~ ( m1_subset_1 @ SY278 @ ( u1_struct_0 @ SV32 ) )
| ~ ( ( ( k2_group_5 @ SV32 @ SY278 @ ( k3_group_1 @ SV32 @ SY278 ) )
!= ( k2_group_1 @ SV32 ) )
| ( ( k2_group_5 @ SV32 @ ( k3_group_1 @ SV32 @ SY278 ) @ SY278 )
!= ( k2_group_1 @ SV32 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6181]) ).
thf(6259,plain,
! [SV33: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV33 )
| ~ ( v3_group_1 @ SV33 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV33 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV33 ) )
= $true )
| ( ( ! [SY279: $i] :
( ~ ( m1_subset_1 @ SY279 @ ( u1_struct_0 @ SV33 ) )
| ! [SY280: $i] :
( ~ ( m1_subset_1 @ SY280 @ ( u1_struct_0 @ SV33 ) )
| ! [SY281: $i] :
( ~ ( m1_subset_1 @ SY281 @ ( u1_struct_0 @ SV33 ) )
| ( ( k2_group_3 @ SV33 @ SY279 @ SY280 )
!= ( k2_group_3 @ SV33 @ SY281 @ SY280 ) )
| ( SY279 = SY281 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6182]) ).
thf(6260,plain,
! [SV34: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV34 )
| ~ ( v3_group_1 @ SV34 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV34 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV34 ) )
= $true )
| ( ( ! [SY282: $i] :
( ~ ( m1_subset_1 @ SY282 @ ( u1_struct_0 @ SV34 ) )
| ! [SY283: $i] :
( ~ ( m1_subset_1 @ SY283 @ ( u1_struct_0 @ SV34 ) )
| ~ ( ( ( k1_group_1 @ SV34 @ SY282 @ SY283 )
= ( k2_group_1 @ SV34 ) )
| ( ( k1_group_1 @ SV34 @ SY283 @ SY282 )
= ( k2_group_1 @ SV34 ) ) )
| ~ ( ( SY282
!= ( k3_group_1 @ SV34 @ SY283 ) )
| ( SY283
!= ( k3_group_1 @ SV34 @ SY282 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6183]) ).
thf(6261,plain,
! [SV83: $i,SV35: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV35 )
| ~ ( v3_group_1 @ SV35 ) )
| ~ ( v4_group_1 @ SV35 ) )
| ~ ( l1_group_1 @ SV35 ) )
| ~ ~ ( v3_struct_0 @ SV83 ) )
| ~ ( v3_group_1 @ SV83 ) )
| ~ ( v4_group_1 @ SV83 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV83 ) )
= $true )
| ( ( r1_group_6 @ SV35 @ SV35 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6184]) ).
thf(6262,plain,
! [SV36: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV36 )
| ~ ( v3_group_1 @ SV36 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV36 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV36 ) )
= $true )
| ( ( ! [SY285: $i] :
( ~ ( m1_subset_1 @ SY285 @ ( u1_struct_0 @ SV36 ) )
| ! [SY286: $i] :
( ~ ( m1_subset_1 @ SY286 @ ( u1_struct_0 @ SV36 ) )
| ! [SY287: $i] :
( ~ ( m1_subset_1 @ SY287 @ ( u1_struct_0 @ SV36 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV36 @ SY285 @ SY286 )
!= SY287 )
| ( SY285
= ( k1_group_1 @ SV36 @ SY287 @ ( k3_group_1 @ SV36 @ SY286 ) ) ) )
| ~ ( ( SY285
!= ( k1_group_1 @ SV36 @ SY287 @ ( k3_group_1 @ SV36 @ SY286 ) ) )
| ( ( k1_group_1 @ SV36 @ SY285 @ SY286 )
= SY287 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6185]) ).
thf(6263,plain,
! [SV37: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV37 )
| ~ ( v3_group_1 @ SV37 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV37 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV37 ) )
= $true )
| ( ( ! [SY288: $i] :
( ~ ( m1_group_2 @ SY288 @ SV37 )
| ( v4_group_1 @ SY288 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6186]) ).
thf(6264,plain,
( ( ~ ~ ( ~ ( l1_group_1 @ sK5_SX0 )
| ~ ~ ( v3_struct_0 @ sK5_SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6187]) ).
thf(6265,plain,
( ( ~ ( v4_group_1 @ sK5_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6187]) ).
thf(6266,plain,
! [SV38: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV38 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV38 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV38 ) )
= $true )
| ( ( ! [SY289: $i] :
( ~ ( m1_group_2 @ SY289 @ SV38 )
| ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY289 )
| ~ ( v3_group_1 @ SY289 ) )
| ~ ( l1_group_1 @ SY289 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6188]) ).
thf(6267,plain,
! [SV40: $i] :
( ( ( ~ ( v3_struct_0 @ SV40 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV40 ) )
= $true )
| ( ( ~ ( ~ ~ ( v3_struct_0 @ SV40 )
| ~ ( v2_group_1 @ SV40 ) ) )
= $true )
| ( ( l1_group_1 @ SV40 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6189]) ).
thf(6268,plain,
! [SV41: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV41 )
| ~ ( v3_group_1 @ SV41 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV41 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV41 ) )
= $true )
| ( ( ! [SY291: $i] :
( ~ ( m1_subset_1 @ SY291 @ ( u1_struct_0 @ SV41 ) )
| ! [SY292: $i] :
( ~ ( m1_subset_1 @ SY292 @ ( u1_struct_0 @ SV41 ) )
| ( ( k3_group_1 @ SV41 @ ( k2_group_5 @ SV41 @ SY291 @ SY292 ) )
= ( k2_group_5 @ SV41 @ SY292 @ SY291 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6190]) ).
thf(6269,plain,
! [SV42: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV42 )
| ~ ( v3_group_1 @ SV42 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV42 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV42 ) )
= $true )
| ( ( ! [SY293: $i] :
( ~ ( m1_subset_1 @ SY293 @ ( u1_struct_0 @ SV42 ) )
| ! [SY294: $i] :
( ~ ( m1_subset_1 @ SY294 @ ( u1_struct_0 @ SV42 ) )
| ( ( k3_group_5 @ SV42 @ SY293 @ SY293 @ SY294 )
= ( k2_group_1 @ SV42 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6191]) ).
thf(6270,plain,
! [SV43: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV43 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV43 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV43 ) )
= $true )
| ( ( ! [SY295: $i] :
( ~ ( m1_subset_1 @ SY295 @ ( u1_struct_0 @ SV43 ) )
| ~ ! [SY296: $i] :
( ~ ( m1_subset_1 @ SY296 @ ( u1_struct_0 @ SV43 ) )
| ~ ( ( ( k1_group_1 @ SV43 @ SY296 @ SY295 )
!= SY296 )
| ( ( k1_group_1 @ SV43 @ SY295 @ SY296 )
!= SY296 ) ) )
| ( SY295
= ( k2_group_1 @ SV43 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6192]) ).
thf(6271,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( l1_group_1 @ sK6_SX0 )
| ~ ~ ( v3_struct_0 @ sK6_SX0 ) )
| ~ ( v1_group_1 @ sK6_SX0 ) )
| ~ ( v2_group_1 @ sK6_SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6193]) ).
thf(6272,plain,
( ( ~ ( v3_group_1 @ sK6_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6193]) ).
thf(6273,plain,
! [SV44: $i] :
( ( ( l1_group_1 @ SV44 )
= $false )
| ( ( v3_struct_0 @ SV44 )
= $true )
| ( ( ~ ( ~ ( ~ ( v4_group_1 @ SV44 )
| ! [SY297: $i] :
( ~ ( m1_subset_1 @ SY297 @ ( u1_struct_0 @ SV44 ) )
| ! [SY298: $i] :
( ~ ( m1_subset_1 @ SY298 @ ( u1_struct_0 @ SV44 ) )
| ! [SY299: $i] :
( ~ ( m1_subset_1 @ SY299 @ ( u1_struct_0 @ SV44 ) )
| ( ( k1_group_1 @ SV44 @ ( k1_group_1 @ SV44 @ SY297 @ SY298 ) @ SY299 )
= ( k1_group_1 @ SV44 @ SY297 @ ( k1_group_1 @ SV44 @ SY298 @ SY299 ) ) ) ) ) ) )
| ~ ( ~ ! [SY300: $i] :
( ~ ( m1_subset_1 @ SY300 @ ( u1_struct_0 @ SV44 ) )
| ! [SY301: $i] :
( ~ ( m1_subset_1 @ SY301 @ ( u1_struct_0 @ SV44 ) )
| ! [SY302: $i] :
( ~ ( m1_subset_1 @ SY302 @ ( u1_struct_0 @ SV44 ) )
| ( ( k1_group_1 @ SV44 @ ( k1_group_1 @ SV44 @ SY300 @ SY301 ) @ SY302 )
= ( k1_group_1 @ SV44 @ SY300 @ ( k1_group_1 @ SV44 @ SY301 @ SY302 ) ) ) ) ) )
| ( v4_group_1 @ SV44 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6194]) ).
thf(6274,plain,
! [SV45: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV45 )
| ~ ( v3_group_1 @ SV45 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV45 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV45 ) )
= $true )
| ( ( ! [SY303: $i] :
( ~ ( m1_subset_1 @ SY303 @ ( u1_struct_0 @ SV45 ) )
| ! [SY304: $i] :
( ~ ( m1_subset_1 @ SY304 @ ( u1_struct_0 @ SV45 ) )
| ( ( k3_group_1 @ SV45 @ ( k1_group_1 @ SV45 @ SY303 @ SY304 ) )
= ( k1_group_1 @ SV45 @ ( k3_group_1 @ SV45 @ SY304 ) @ ( k3_group_1 @ SV45 @ SY303 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6195]) ).
thf(6275,plain,
! [SV46: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV46 )
| ~ ( v1_group_1 @ SV46 ) )
| ~ ( v3_group_1 @ SV46 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV46 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV46 ) )
= $true )
| ( ( ( k6_autgroup @ SV46 @ ( k2_group_1 @ SV46 ) )
= ( k6_partfun1 @ ( u1_struct_0 @ SV46 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6196]) ).
thf(6276,plain,
! [SV98: $i,SV95: $i,SV84: $i,SV47: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV47 )
| ~ ( v3_group_1 @ SV47 ) )
| ~ ( v4_group_1 @ SV47 ) )
| ~ ( l1_group_1 @ SV47 ) )
| ~ ( m1_subset_1 @ SV84 @ ( u1_struct_0 @ SV47 ) ) )
| ~ ( m1_subset_1 @ SV95 @ ( u1_struct_0 @ SV47 ) ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV98 @ ( u1_struct_0 @ SV47 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k3_group_5 @ SV47 @ SV84 @ SV95 @ SV98 ) @ ( u1_struct_0 @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6197]) ).
thf(6277,plain,
! [SV48: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV48 )
| ~ ( v3_group_1 @ SV48 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV48 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV48 ) )
= $true )
| ( ( ! [SY308: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY308 )
| ~ ( v3_group_1 @ SY308 ) )
| ~ ( v4_group_1 @ SY308 ) )
| ~ ( l1_group_1 @ SY308 ) )
| ! [SY309: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY309 )
| ~ ( v3_group_1 @ SY309 ) )
| ~ ( v4_group_1 @ SY309 ) )
| ~ ( l1_group_1 @ SY309 ) )
| ~ ~ ( ~ ( r1_group_6 @ SV48 @ SY308 )
| ~ ( r1_group_6 @ SY308 @ SY309 ) )
| ( r1_group_6 @ SV48 @ SY309 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6198]) ).
thf(6278,plain,
! [SV85: $i,SV49: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV49 )
| ~ ( v3_group_1 @ SV49 ) )
| ~ ( v4_group_1 @ SV49 ) )
| ~ ( l1_group_1 @ SV49 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV85 @ ( u1_struct_0 @ SV49 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k3_group_1 @ SV49 @ SV85 ) @ ( u1_struct_0 @ SV49 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6199]) ).
thf(6279,plain,
! [SV50: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV50 )
| ~ ( v3_group_1 @ SV50 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV50 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV50 ) )
= $true )
| ( ( ( k3_group_1 @ SV50 @ ( k2_group_1 @ SV50 ) )
= ( k2_group_1 @ SV50 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6200]) ).
thf(6280,plain,
! [SV96: $i,SV86: $i,SV51: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV51 )
| ~ ( v3_group_1 @ SV51 ) )
| ~ ( v4_group_1 @ SV51 ) )
| ~ ( l1_group_1 @ SV51 ) )
| ~ ( m1_subset_1 @ SV86 @ ( u1_struct_0 @ SV51 ) ) ) )
= $false )
| ( ( ~ ( m1_subset_1 @ SV96 @ ( u1_struct_0 @ SV51 ) ) )
= $true )
| ( ( ~ ( r2_group_3 @ SV51 @ SV86 @ SV96 )
| ( r2_group_3 @ SV51 @ SV96 @ SV86 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6201]) ).
thf(6281,plain,
! [SV52: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV52 )
| ~ ( v1_group_1 @ SV52 ) )
| ~ ( v3_group_1 @ SV52 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV52 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV52 ) )
= $true )
| ( ( ! [SY313: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY313 )
| ~ ( v1_group_1 @ SY313 ) )
| ~ ( v3_group_1 @ SY313 ) )
| ~ ( v4_group_1 @ SY313 ) )
| ~ ( l1_group_1 @ SY313 ) )
| ~ ( r1_group_6 @ SV52 @ SY313 )
| ( r1_group_6 @ SY313 @ SV52 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6202]) ).
thf(6282,plain,
! [SV53: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV53 )
| ~ ( v3_group_1 @ SV53 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV53 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV53 ) )
= $true )
| ( ( ! [SY314: $i] :
( ~ ( m1_group_2 @ SY314 @ SV53 )
| ( ( k2_group_1 @ SY314 )
= ( k2_group_1 @ SV53 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6203]) ).
thf(6283,plain,
! [SV54: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV54 )
| ~ ( v3_group_1 @ SV54 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV54 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV54 ) )
= $true )
| ( ( ! [SY315: $i] :
( ~ ( m1_subset_1 @ SY315 @ ( u1_struct_0 @ SV54 ) )
| ! [SY316: $i] :
( ~ ( m1_subset_1 @ SY316 @ ( u1_struct_0 @ SV54 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV54 @ SY315 @ SY316 )
!= ( k1_group_1 @ SV54 @ SY316 @ SY315 ) )
| ( ( k1_group_1 @ SV54 @ SY315 @ ( k3_group_1 @ SV54 @ SY316 ) )
= ( k1_group_1 @ SV54 @ ( k3_group_1 @ SV54 @ SY316 ) @ SY315 ) ) )
| ~ ( ( ( k1_group_1 @ SV54 @ SY315 @ ( k3_group_1 @ SV54 @ SY316 ) )
!= ( k1_group_1 @ SV54 @ ( k3_group_1 @ SV54 @ SY316 ) @ SY315 ) )
| ( ( k1_group_1 @ SV54 @ SY315 @ SY316 )
= ( k1_group_1 @ SV54 @ SY316 @ SY315 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6204]) ).
thf(6284,plain,
! [SV55: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV55 )
| ~ ( v3_group_1 @ SV55 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV55 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV55 ) )
= $true )
| ( ( ! [SY317: $i] :
( ~ ( m1_subset_1 @ SY317 @ ( u1_struct_0 @ SV55 ) )
| ! [SY318: $i] :
( ~ ( m1_group_2 @ SY318 @ SV55 )
| ! [SY319: $i] :
( ~ ( m1_subset_1 @ SY319 @ ( u1_struct_0 @ SY318 ) )
| ( SY319 != SY317 )
| ( ( k3_group_1 @ SY318 @ SY319 )
= ( k3_group_1 @ SV55 @ SY317 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6205]) ).
thf(6285,plain,
! [SV56: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV56 )
| ~ ( v3_group_1 @ SV56 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV56 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV56 ) )
= $true )
| ( ( ! [SY320: $i] :
( ~ ( m1_subset_1 @ SY320 @ ( u1_struct_0 @ SV56 ) )
| ! [SY321: $i] :
( ~ ( m1_subset_1 @ SY321 @ ( u1_struct_0 @ SV56 ) )
| ~ ~ ( ( ( k1_group_1 @ SV56 @ SY320 @ SY321 )
!= ( k2_group_1 @ SV56 ) )
| ( ( k1_group_1 @ SV56 @ SY321 @ SY320 )
!= ( k2_group_1 @ SV56 ) ) )
| ( SY321
= ( k3_group_1 @ SV56 @ SY320 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6206]) ).
thf(6286,plain,
! [SV57: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV57 )
| ~ ( v3_group_1 @ SV57 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV57 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV57 ) )
= $true )
| ( ( ! [SY322: $i] :
( ~ ( m1_subset_1 @ SY322 @ ( u1_struct_0 @ SV57 ) )
| ( ( k2_group_3 @ SV57 @ SY322 @ SY322 )
= SY322 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6207]) ).
thf(6287,plain,
! [SV59: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV59 )
| ~ ( v3_group_1 @ SV59 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV59 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV59 ) )
= $true )
| ( ( ! [SY324: $i] :
( ~ ( m1_subset_1 @ SY324 @ ( u1_struct_0 @ SV59 ) )
| ! [SY325: $i] :
( ~ ( m1_subset_1 @ SY325 @ ( u1_struct_0 @ SV59 ) )
| ~ ! [SY326: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY326 @ ( u1_struct_0 @ SV59 ) )
| ( ( k1_group_1 @ SV59 @ SY324 @ SY326 )
!= SY325 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6209]) ).
thf(6288,plain,
! [SV60: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV60 )
| ~ ( v3_group_1 @ SV60 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV60 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV60 ) )
= $true )
| ( ( ! [SY327: $i] :
( ~ ( m1_subset_1 @ SY327 @ ( u1_struct_0 @ SV60 ) )
| ! [SY328: $i] :
( ~ ( m1_subset_1 @ SY328 @ ( u1_struct_0 @ SV60 ) )
| ~ ( ~ ( ( SY328
!= ( k3_group_1 @ SV60 @ SY327 ) )
| ~ ( ( ( k1_group_1 @ SV60 @ SY327 @ SY328 )
!= ( k2_group_1 @ SV60 ) )
| ( ( k1_group_1 @ SV60 @ SY328 @ SY327 )
!= ( k2_group_1 @ SV60 ) ) ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV60 @ SY327 @ SY328 )
!= ( k2_group_1 @ SV60 ) )
| ( ( k1_group_1 @ SV60 @ SY328 @ SY327 )
!= ( k2_group_1 @ SV60 ) ) )
| ( SY328
= ( k3_group_1 @ SV60 @ SY327 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6210]) ).
thf(6289,plain,
! [SV87: $i,SV61: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV61 )
| ~ ( v1_group_1 @ SV61 ) )
| ~ ( v3_group_1 @ SV61 ) )
| ~ ( v4_group_1 @ SV61 ) )
| ~ ( l1_group_1 @ SV61 ) )
| ~ ~ ( v3_struct_0 @ SV87 ) )
| ~ ( v1_group_1 @ SV87 ) )
| ~ ( v3_group_1 @ SV87 ) )
| ~ ( v4_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( r2_group_6 @ SV61 @ SV87 )
| ( r2_group_6 @ SV87 @ SV61 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6211]) ).
thf(6290,plain,
! [SV62: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV62 )
| ~ ( v1_group_1 @ SV62 ) )
| ~ ( v3_group_1 @ SV62 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV62 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV62 ) )
= $true )
| ( ( ! [SY330: $i] :
( ~ ( m1_subset_1 @ SY330 @ ( u1_struct_0 @ SV62 ) )
| ( ( k8_funct_2 @ ( u1_struct_0 @ SV62 ) @ ( u1_struct_0 @ SV62 ) @ ( k6_autgroup @ SV62 @ ( k2_group_1 @ SV62 ) ) @ SY330 )
= SY330 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6212]) ).
thf(6291,plain,
! [SV97: $i,SV88: $i,SV63: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV63 )
| ~ ( l1_group_1 @ SV63 ) )
| ~ ( m1_subset_1 @ SV88 @ ( u1_struct_0 @ SV63 ) ) ) )
= $false )
| ( ( ~ ( m1_subset_1 @ SV97 @ ( u1_struct_0 @ SV63 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k1_group_1 @ SV63 @ SV88 @ SV97 ) @ ( u1_struct_0 @ SV63 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6214]) ).
thf(6292,plain,
! [SV64: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV64 )
| ~ ( v3_group_1 @ SV64 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV64 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV64 ) )
= $true )
| ( ( ! [SY333: $i] :
( ~ ( m1_subset_1 @ SY333 @ ( u1_struct_0 @ SV64 ) )
| ( ( k2_group_5 @ SV64 @ SY333 @ SY333 )
= ( k2_group_1 @ SV64 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6215]) ).
thf(6293,plain,
! [SV66: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV66 )
| ~ ( v3_group_1 @ SV66 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV66 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV66 ) )
= $true )
| ( ( ! [SY335: $i] :
( ~ ( m1_subset_1 @ SY335 @ ( u1_struct_0 @ SV66 ) )
| ! [SY336: $i] :
( ~ ( m1_subset_1 @ SY336 @ ( u1_struct_0 @ SV66 ) )
| ~ ( r1_group_3 @ SV66 @ SY335 @ SY336 )
| ( r1_group_3 @ SV66 @ SY336 @ SY335 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6216]) ).
thf(6294,plain,
! [SV67: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV67 )
| ~ ( v3_group_1 @ SV67 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV67 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV67 ) )
= $true )
| ( ( ! [SY337: $i] :
( ~ ( m1_subset_1 @ SY337 @ ( u1_struct_0 @ SV67 ) )
| ( ( k3_group_1 @ SV67 @ ( k3_group_1 @ SV67 @ SY337 ) )
= SY337 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6217]) ).
thf(6295,plain,
! [SV68: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV68 )
| ~ ( v3_group_1 @ SV68 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV68 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV68 ) )
= $true )
| ( ( ! [SY338: $i] :
( ~ ( m1_subset_1 @ SY338 @ ( u1_struct_0 @ SV68 ) )
| ( ( k2_group_3 @ SV68 @ SY338 @ ( k2_group_1 @ SV68 ) )
= SY338 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6218]) ).
thf(6296,plain,
! [SV101: $i,SV100: $i,SV90: $i,SV69: $i] :
( ( ( ( g2_struct_0 @ SV69 @ SV90 )
= ( g2_struct_0 @ SV100 @ SV101 ) )
= $false )
| ( ( ~ ( ( SV69 != SV100 )
| ( SV90 != SV101 ) ) )
= $true )
| ( ( m1_subset_1 @ SV90 @ SV69 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6219]) ).
thf(6297,plain,
! [SV70: $i] :
( ( ( l1_group_1 @ SV70 )
= $false )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( ~ ! [SY342: $i] :
( ~ ( m1_subset_1 @ SY342 @ ( u1_struct_0 @ SV70 ) )
| ! [SY343: $i] :
( ~ ( m1_subset_1 @ SY343 @ ( u1_struct_0 @ SV70 ) )
| ! [SY344: $i] :
( ~ ( m1_subset_1 @ SY344 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ SY342 @ SY343 ) @ SY344 )
= ( k1_group_1 @ SV70 @ SY342 @ ( k1_group_1 @ SV70 @ SY343 @ SY344 ) ) ) ) ) )
| ! [SY345: $i] :
( ~ ( m1_subset_1 @ SY345 @ ( u1_struct_0 @ SV70 ) )
| ~ ! [SY346: $i] :
( ~ ( m1_subset_1 @ SY346 @ ( u1_struct_0 @ SV70 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV70 @ SY346 @ SY345 )
!= SY346 )
| ( ( k1_group_1 @ SV70 @ SY345 @ SY346 )
!= SY346 ) )
| ~ ~ ! [SY347: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY347 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ SY346 @ SY347 )
!= SY345 ) )
| ( ( k1_group_1 @ SV70 @ SY347 @ SY346 )
!= SY345 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6220]) ).
thf(6298,plain,
! [SV71: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV71 )
| ~ ( v3_group_1 @ SV71 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV71 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV71 ) )
= $true )
| ( ( ! [SY348: $i] :
( ~ ( m1_subset_1 @ SY348 @ ( u1_struct_0 @ SV71 ) )
| ! [SY349: $i] :
( ~ ( m1_subset_1 @ SY349 @ ( u1_struct_0 @ SV71 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SY348 @ SY349 ) @ ( k3_group_1 @ SV71 @ SY349 ) )
!= SY348 )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SY348 @ ( k3_group_1 @ SV71 @ SY349 ) ) @ SY349 )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY349 ) @ SY349 ) @ SY348 )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SY349 @ ( k3_group_1 @ SV71 @ SY349 ) ) @ SY348 )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ SY348 @ ( k1_group_1 @ SV71 @ SY349 @ ( k3_group_1 @ SV71 @ SY349 ) ) )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ SY348 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY349 ) @ SY349 ) )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY349 ) @ ( k1_group_1 @ SV71 @ SY349 @ SY348 ) )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ SY349 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY349 ) @ SY348 ) )
!= SY348 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6221]) ).
thf(6299,plain,
! [SV91: $i,SV72: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV72 )
| ~ ( v1_group_1 @ SV72 ) )
| ~ ( v3_group_1 @ SV72 ) )
| ~ ( v4_group_1 @ SV72 ) )
| ~ ( l1_group_1 @ SV72 ) )
| ~ ~ ( v3_struct_0 @ SV91 ) )
| ~ ( v1_group_1 @ SV91 ) )
| ~ ( v3_group_1 @ SV91 ) )
| ~ ( v4_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV91 ) )
= $true )
| ( ( r2_group_6 @ SV72 @ SV72 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6222]) ).
thf(6300,plain,
! [SV73: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV73 )
| ~ ( v3_group_1 @ SV73 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV73 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV73 ) )
= $true )
| ( ( ! [SY351: $i] :
( ~ ( m1_subset_1 @ SY351 @ ( u1_struct_0 @ SV73 ) )
| ~ ( ( ( k2_group_3 @ SV73 @ SY351 @ ( k3_group_1 @ SV73 @ SY351 ) )
!= SY351 )
| ( ( k2_group_3 @ SV73 @ ( k3_group_1 @ SV73 @ SY351 ) @ SY351 )
!= ( k3_group_1 @ SV73 @ SY351 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6223]) ).
thf(6301,plain,
! [SV74: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV74 )
| ~ ( v3_group_1 @ SV74 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV74 ) )
= $true )
| ( ( ! [SY352: $i] :
( ~ ( m1_subset_1 @ SY352 @ ( u1_struct_0 @ SV74 ) )
| ! [SY353: $i] :
( ~ ( m1_subset_1 @ SY353 @ ( u1_struct_0 @ SV74 ) )
| ! [SY354: $i] :
( ~ ( m1_subset_1 @ SY354 @ ( u1_struct_0 @ SV74 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV74 @ SY352 @ SY353 )
!= SY354 )
| ( SY353
= ( k1_group_1 @ SV74 @ ( k3_group_1 @ SV74 @ SY352 ) @ SY354 ) ) )
| ~ ( ( SY353
!= ( k1_group_1 @ SV74 @ ( k3_group_1 @ SV74 @ SY352 ) @ SY354 ) )
| ( ( k1_group_1 @ SV74 @ SY352 @ SY353 )
= SY354 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6224]) ).
thf(6302,plain,
! [SV75: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV75 )
| ~ ( v3_group_1 @ SV75 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV75 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV75 ) )
= $true )
| ( ( ! [SY355: $i] :
( ~ ( m1_subset_1 @ SY355 @ ( u1_struct_0 @ SV75 ) )
| ( ( k3_group_1 @ SV75 @ SY355 )
!= ( k2_group_1 @ SV75 ) )
| ( SY355
= ( k2_group_1 @ SV75 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6225]) ).
thf(6303,plain,
( ( ~ ( l1_group_1 @ sK10_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6226]) ).
thf(6304,plain,
( ( ~ ~ ( v3_struct_0 @ sK10_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6226]) ).
thf(6305,plain,
! [SV76: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV76 )
| ~ ( v3_group_1 @ SV76 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV76 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV76 ) )
= $true )
| ( ( ~ ( v5_group_1 @ ( k2_group_1 @ SV76 ) @ SV76 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6227]) ).
thf(6306,plain,
! [SV77: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV77 )
| ~ ( v3_group_1 @ SV77 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV77 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV77 ) )
= $true )
| ( ( ! [SY356: $i] :
( ~ ( m1_subset_1 @ SY356 @ ( u1_struct_0 @ SV77 ) )
| ! [SY357: $i] :
( ~ ( m1_subset_1 @ SY357 @ ( u1_struct_0 @ SV77 ) )
| ~ ! [SY358: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY358 @ ( u1_struct_0 @ SV77 ) )
| ( ( k1_group_1 @ SV77 @ SY358 @ SY356 )
!= SY357 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6228]) ).
thf(6307,plain,
! [SV78: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV78 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV78 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV78 ) )
= $true )
| ( ( ~ ! [SY359: $i] :
~ ( m1_group_2 @ SY359 @ SV78 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6229]) ).
thf(6308,plain,
! [SV2: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV2 )
| ~ ( v1_group_1 @ SV2 ) )
| ~ ( v3_group_1 @ SV2 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV2 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV2 ) )
= $true )
| ( ( ! [SY222: $i] :
( ~ ( m1_subset_1 @ SY222 @ ( u1_struct_0 @ SV2 ) )
| ! [SY223: $i] :
( ~ ( m1_subset_1 @ SY223 @ ( u1_struct_0 @ SV2 ) )
| ( ( k6_autgroup @ SV2 @ ( k1_group_1 @ SV2 @ SY222 @ SY223 ) )
= ( k7_funct_2 @ ( u1_struct_0 @ SV2 ) @ ( u1_struct_0 @ SV2 ) @ ( u1_struct_0 @ SV2 ) @ ( k6_autgroup @ SV2 @ SY222 ) @ ( k6_autgroup @ SV2 @ SY223 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6231]) ).
thf(6309,plain,
! [SV3: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV3 )
| ~ ( v3_group_1 @ SV3 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV3 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV3 ) )
= $true )
| ( ( ! [SY224: $i] :
( ~ ( m1_subset_1 @ SY224 @ ( u1_struct_0 @ SV3 ) )
| ! [SY225: $i] :
( ~ ( m1_subset_1 @ SY225 @ ( u1_struct_0 @ SV3 ) )
| ~ ( ( ( k1_group_1 @ SV3 @ SY224 @ SY225 )
= SY224 )
| ( ( k1_group_1 @ SV3 @ SY225 @ SY224 )
= SY224 ) )
| ( SY225
= ( k2_group_1 @ SV3 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6232]) ).
thf(6310,plain,
! [SV4: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV4 )
| ~ ( v3_group_1 @ SV4 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV4 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV4 ) )
= $true )
| ( ( ! [SY226: $i] :
( ~ ( m1_group_2 @ SY226 @ SV4 )
| ! [SY227: $i] :
( ~ ( m1_group_2 @ SY227 @ SV4 )
| ( ( k2_group_1 @ SY226 )
= ( k2_group_1 @ SY227 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6233]) ).
thf(6311,plain,
! [SV5: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV5 )
| ~ ( v3_group_1 @ SV5 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV5 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV5 ) )
= $true )
| ( ( ! [SY228: $i] :
( ~ ( m1_subset_1 @ SY228 @ ( u1_struct_0 @ SV5 ) )
| ! [SY229: $i] :
( ~ ( m1_subset_1 @ SY229 @ ( u1_struct_0 @ SV5 ) )
| ~ ( ( ( k2_group_3 @ SV5 @ ( k2_group_3 @ SV5 @ SY228 @ SY229 ) @ ( k3_group_1 @ SV5 @ SY229 ) )
!= SY228 )
| ( ( k2_group_3 @ SV5 @ ( k2_group_3 @ SV5 @ SY228 @ ( k3_group_1 @ SV5 @ SY229 ) ) @ SY229 )
!= SY228 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6234]) ).
thf(6312,plain,
! [SV6: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV6 )
| ~ ( v3_group_1 @ SV6 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV6 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV6 ) )
= $true )
| ( ( ! [SY230: $i] :
( ~ ( m1_subset_1 @ SY230 @ ( u1_struct_0 @ SV6 ) )
| ( ( k2_group_3 @ SV6 @ ( k2_group_1 @ SV6 ) @ SY230 )
= ( k2_group_1 @ SV6 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6235]) ).
thf(6313,plain,
! [SV7: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV7 )
| ~ ( v3_group_1 @ SV7 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV7 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV7 ) )
= $true )
| ( ( ! [SY231: $i] :
( ~ ( m1_subset_1 @ SY231 @ ( u1_struct_0 @ SV7 ) )
| ~ ( ( r2_group_3 @ SV7 @ SY231 @ ( k2_group_1 @ SV7 ) )
| ( r2_group_3 @ SV7 @ ( k2_group_1 @ SV7 ) @ SY231 ) )
| ( SY231
= ( k2_group_1 @ SV7 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6236]) ).
thf(6314,plain,
! [SV8: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV8 )
| ~ ( v3_group_1 @ SV8 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV8 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV8 ) )
= $true )
| ( ( ! [SY232: $i] :
( ~ ( m1_subset_1 @ SY232 @ ( u1_struct_0 @ SV8 ) )
| ! [SY233: $i] :
( ~ ( m1_subset_1 @ SY233 @ ( u1_struct_0 @ SV8 ) )
| ! [SY234: $i] :
( ~ ( m1_subset_1 @ SY234 @ ( u1_struct_0 @ SV8 ) )
| ~ ( ( ( k1_group_1 @ SV8 @ SY232 @ SY233 )
= ( k1_group_1 @ SV8 @ SY232 @ SY234 ) )
| ( ( k1_group_1 @ SV8 @ SY233 @ SY232 )
= ( k1_group_1 @ SV8 @ SY234 @ SY232 ) ) )
| ( SY233 = SY234 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6237]) ).
thf(6315,plain,
! [SV10: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV10 )
| ~ ( v3_group_1 @ SV10 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV10 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV10 ) )
= $true )
| ( ( ! [SY235: $i] :
( ~ ( m1_subset_1 @ SY235 @ ( u1_struct_0 @ SV10 ) )
| ! [SY236: $i] :
( ~ ( m1_subset_1 @ SY236 @ ( u1_struct_0 @ SV10 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV10 @ SY235 @ SY236 )
!= ( k1_group_1 @ SV10 @ SY236 @ SY235 ) )
| ( ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY235 ) @ ( k3_group_1 @ SV10 @ SY236 ) )
= ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY236 ) @ ( k3_group_1 @ SV10 @ SY235 ) ) ) )
| ~ ( ( ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY235 ) @ ( k3_group_1 @ SV10 @ SY236 ) )
!= ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY236 ) @ ( k3_group_1 @ SV10 @ SY235 ) ) )
| ( ( k1_group_1 @ SV10 @ SY235 @ SY236 )
= ( k1_group_1 @ SV10 @ SY236 @ SY235 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6239]) ).
thf(6316,plain,
! [SV11: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV11 )
| ~ ( v1_group_1 @ SV11 ) )
| ~ ( v3_group_1 @ SV11 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV11 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV11 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k3_autgroup @ SV11 ) )
| ~ ( v1_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( v3_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( v4_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( l1_group_1 @ ( k3_autgroup @ SV11 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6240]) ).
thf(6317,plain,
! [SV12: $i] :
( ( ( ~ ( v3_struct_0 @ SV12 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV12 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV12 ) )
= $true )
| ( ( ! [SY237: $i] :
( ~ ( m1_group_2 @ SY237 @ SV12 )
| ! [SY238: $i] :
( ~ ( m1_subset_1 @ SY238 @ ( u1_struct_0 @ SY237 ) )
| ( m1_subset_1 @ SY238 @ ( u1_struct_0 @ SV12 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6241]) ).
thf(6318,plain,
! [SV13: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV13 )
| ~ ( v3_group_1 @ SV13 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV13 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV13 ) )
= $true )
| ( ( ! [SY239: $i] :
( ~ ( m1_subset_1 @ SY239 @ ( u1_struct_0 @ SV13 ) )
| ! [SY240: $i] :
( ~ ( m1_subset_1 @ SY240 @ ( u1_struct_0 @ SV13 ) )
| ~ ( ~ ~ ( ( ( k3_group_5 @ SV13 @ SY239 @ SY240 @ ( k2_group_1 @ SV13 ) )
!= ( k2_group_1 @ SV13 ) )
| ( ( k3_group_5 @ SV13 @ SY239 @ ( k2_group_1 @ SV13 ) @ SY240 )
!= ( k2_group_1 @ SV13 ) ) )
| ( ( k3_group_5 @ SV13 @ ( k2_group_1 @ SV13 ) @ SY239 @ SY240 )
!= ( k2_group_1 @ SV13 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6242]) ).
thf(6319,plain,
! [SV15: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV15 )
| ~ ( v3_group_1 @ SV15 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV15 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV15 ) )
= $true )
| ( ( ! [SY241: $i] :
( ~ ( m1_subset_1 @ SY241 @ ( u1_struct_0 @ SV15 ) )
| ! [SY242: $i] :
( ~ ( m1_subset_1 @ SY242 @ ( u1_struct_0 @ SV15 ) )
| ( ( k2_group_3 @ SV15 @ ( k3_group_1 @ SV15 @ SY241 ) @ SY242 )
= ( k3_group_1 @ SV15 @ ( k2_group_3 @ SV15 @ SY241 @ SY242 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6243]) ).
thf(6320,plain,
! [SV16: $i] :
( ( ( ~ ( ~ ( v3_group_1 @ SV16 )
| ~ ! [SY243: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY243 @ ( u1_struct_0 @ SV16 ) )
| ~ ! [SY244: $i] :
( ~ ( m1_subset_1 @ SY244 @ ( u1_struct_0 @ SV16 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV16 @ SY244 @ SY243 )
!= SY244 )
| ( ( k1_group_1 @ SV16 @ SY243 @ SY244 )
!= SY244 ) )
| ~ ~ ! [SY245: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY245 @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ SY244 @ SY245 )
!= SY243 ) )
| ( ( k1_group_1 @ SV16 @ SY245 @ SY244 )
!= SY243 ) ) ) ) ) )
| ~ ( ~ ~ ! [SY246: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY246 @ ( u1_struct_0 @ SV16 ) )
| ~ ! [SY247: $i] :
( ~ ( m1_subset_1 @ SY247 @ ( u1_struct_0 @ SV16 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV16 @ SY247 @ SY246 )
!= SY247 )
| ( ( k1_group_1 @ SV16 @ SY246 @ SY247 )
!= SY247 ) )
| ~ ~ ! [SY248: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY248 @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ SY247 @ SY248 )
!= SY246 ) )
| ( ( k1_group_1 @ SV16 @ SY248 @ SY247 )
!= SY246 ) ) ) ) )
| ( v3_group_1 @ SV16 ) ) )
= $false )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6244]) ).
thf(6321,plain,
! [SV17: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV17 )
| ~ ( v3_group_1 @ SV17 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV17 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV17 ) )
= $true )
| ( ( ! [SY249: $i] :
( ~ ( m1_subset_1 @ SY249 @ ( u1_struct_0 @ SV17 ) )
| ! [SY250: $i] :
( ~ ( m1_subset_1 @ SY250 @ ( u1_struct_0 @ SV17 ) )
| ( ( k2_group_3 @ SV17 @ SY249 @ SY250 )
!= ( k2_group_1 @ SV17 ) )
| ( SY249
= ( k2_group_1 @ SV17 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6245]) ).
thf(6322,plain,
! [SV18: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV18 )
| ~ ( v3_group_1 @ SV18 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV18 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV18 ) )
= $true )
| ( ( ! [SY251: $i] :
( ~ ( m1_subset_1 @ SY251 @ ( u1_struct_0 @ SV18 ) )
| ( r1_group_3 @ SV18 @ SY251 @ SY251 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6246]) ).
thf(6323,plain,
! [SV92: $i,SV79: $i,SV19: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV19 )
| ~ ( v3_group_1 @ SV19 ) )
| ~ ( v4_group_1 @ SV19 ) )
| ~ ( l1_group_1 @ SV19 ) )
| ~ ( m1_subset_1 @ SV79 @ ( u1_struct_0 @ SV19 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV92 @ ( u1_struct_0 @ SV19 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k2_group_3 @ SV19 @ SV79 @ SV92 ) @ ( u1_struct_0 @ SV19 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6247]) ).
thf(6324,plain,
! [SV21: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV21 )
| ~ ( v3_group_1 @ SV21 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV21 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV21 ) )
= $true )
| ( ( ! [SY254: $i] :
( ~ ( m1_subset_1 @ SY254 @ ( u1_struct_0 @ SV21 ) )
| ! [SY255: $i] :
( ~ ( m1_subset_1 @ SY255 @ ( u1_struct_0 @ SV21 ) )
| ! [SY256: $i] :
( ~ ( m1_subset_1 @ SY256 @ ( u1_struct_0 @ SV21 ) )
| ~ ~ ( ~ ( r2_group_3 @ SV21 @ SY254 @ SY255 )
| ~ ( r2_group_3 @ SV21 @ SY255 @ SY256 ) )
| ( r2_group_3 @ SV21 @ SY254 @ SY256 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6248]) ).
thf(6325,plain,
! [SV22: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV22 )
| ~ ( v1_group_1 @ SV22 ) )
| ~ ( v3_group_1 @ SV22 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV22 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV22 ) )
= $true )
| ( ( ! [SY257: $i] :
( ~ ~ ( ~ ( v1_group_1 @ SY257 )
| ~ ( m1_group_2 @ SY257 @ SV22 ) )
| ( ( u1_struct_0 @ SY257 )
!= ( u1_struct_0 @ SV22 ) )
| ( SY257 = SV22 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6249]) ).
thf(6326,plain,
! [SV23: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV23 )
| ~ ( v3_group_1 @ SV23 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV23 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV23 ) )
= $true )
| ( ( ! [SY258: $i] :
( ~ ( m1_subset_1 @ SY258 @ ( u1_struct_0 @ SV23 ) )
| ! [SY259: $i] :
( ~ ( m1_subset_1 @ SY259 @ ( u1_struct_0 @ SV23 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV23 @ SY258 @ SY259 )
!= ( k1_group_1 @ SV23 @ SY259 @ SY258 ) )
| ( ( k3_group_1 @ SV23 @ ( k1_group_1 @ SV23 @ SY258 @ SY259 ) )
= ( k1_group_1 @ SV23 @ ( k3_group_1 @ SV23 @ SY258 ) @ ( k3_group_1 @ SV23 @ SY259 ) ) ) )
| ~ ( ( ( k3_group_1 @ SV23 @ ( k1_group_1 @ SV23 @ SY258 @ SY259 ) )
!= ( k1_group_1 @ SV23 @ ( k3_group_1 @ SV23 @ SY258 ) @ ( k3_group_1 @ SV23 @ SY259 ) ) )
| ( ( k1_group_1 @ SV23 @ SY258 @ SY259 )
= ( k1_group_1 @ SV23 @ SY259 @ SY258 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6250]) ).
thf(6327,plain,
! [SV24: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV24 )
| ~ ( v3_group_1 @ SV24 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV24 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV24 ) )
= $true )
| ( ( ! [SY260: $i] :
( ~ ( m1_subset_1 @ SY260 @ ( u1_struct_0 @ SV24 ) )
| ~ ( ( ( k2_group_5 @ SV24 @ ( k2_group_1 @ SV24 ) @ SY260 )
!= ( k2_group_1 @ SV24 ) )
| ( ( k2_group_5 @ SV24 @ SY260 @ ( k2_group_1 @ SV24 ) )
!= ( k2_group_1 @ SV24 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6251]) ).
thf(6328,plain,
! [SV25: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV25 )
| ~ ( v3_group_1 @ SV25 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV25 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV25 ) )
= $true )
| ( ( m1_group_2 @ SV25 @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6252]) ).
thf(6329,plain,
! [SV26: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV26 )
| ~ ( v3_group_1 @ SV26 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV26 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV26 ) )
= $true )
| ( ( ! [SY261: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY261 )
| ~ ( v3_group_1 @ SY261 ) )
| ~ ( v4_group_1 @ SY261 ) )
| ~ ( l1_group_1 @ SY261 ) )
| ! [SY262: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY262 )
| ~ ( v3_group_1 @ SY262 ) )
| ~ ( v4_group_1 @ SY262 ) )
| ~ ( l1_group_1 @ SY262 ) )
| ~ ~ ( ~ ( m1_group_2 @ SV26 @ SY261 )
| ~ ( m1_group_2 @ SY261 @ SY262 ) )
| ( m1_group_2 @ SV26 @ SY262 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6253]) ).
thf(6330,plain,
! [SV28: $i] :
( ( ( ~ ~ ( ~ ! [SY265: $i] :
( ~ ( m1_subset_1 @ SY265 @ ( u1_struct_0 @ SV28 ) )
| ! [SY266: $i] :
( ~ ( m1_subset_1 @ SY266 @ ( u1_struct_0 @ SV28 ) )
| ! [SY267: $i] :
( ~ ( m1_subset_1 @ SY267 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ ( k1_group_1 @ SV28 @ SY265 @ SY266 ) @ SY267 )
= ( k1_group_1 @ SV28 @ SY265 @ ( k1_group_1 @ SV28 @ SY266 @ SY267 ) ) ) ) ) )
| ~ ! [SY268: $i] :
( ~ ( m1_subset_1 @ SY268 @ ( u1_struct_0 @ SV28 ) )
| ! [SY269: $i] :
( ~ ( m1_subset_1 @ SY269 @ ( u1_struct_0 @ SV28 ) )
| ~ ( ~ ~ ! [SY270: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY270 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY268 @ SY270 )
!= SY269 ) )
| ~ ~ ! [SY271: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY271 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY271 @ SY268 )
!= SY269 ) ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6254]) ).
thf(6331,plain,
! [SV93: $i,SV81: $i,SV29: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV29 )
| ~ ( v3_group_1 @ SV29 ) )
| ~ ( v4_group_1 @ SV29 ) )
| ~ ( l1_group_1 @ SV29 ) )
| ~ ( m1_subset_1 @ SV81 @ ( u1_struct_0 @ SV29 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV93 @ ( u1_struct_0 @ SV29 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k2_group_5 @ SV29 @ SV81 @ SV93 ) @ ( u1_struct_0 @ SV29 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6255]) ).
thf(6332,plain,
! [SV94: $i,SV82: $i,SV30: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV30 )
| ~ ( v3_group_1 @ SV30 ) )
| ~ ( v4_group_1 @ SV30 ) )
| ~ ( l1_group_1 @ SV30 ) )
| ~ ( m1_subset_1 @ SV82 @ ( u1_struct_0 @ SV30 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV94 @ ( u1_struct_0 @ SV30 ) ) )
= $true )
| ( ( r2_group_3 @ SV30 @ SV82 @ SV82 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6256]) ).
thf(6333,plain,
! [SV31: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV31 )
| ~ ( v3_group_1 @ SV31 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV31 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV31 ) )
= $true )
| ( ( ! [SY276: $i] :
( ~ ( m1_subset_1 @ SY276 @ ( u1_struct_0 @ SV31 ) )
| ! [SY277: $i] :
( ~ ( m1_subset_1 @ SY277 @ ( u1_struct_0 @ SV31 ) )
| ( ( k3_group_1 @ SV31 @ SY276 )
!= ( k3_group_1 @ SV31 @ SY277 ) )
| ( SY276 = SY277 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6257]) ).
thf(6334,plain,
! [SV32: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV32 )
| ~ ( v3_group_1 @ SV32 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV32 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV32 ) )
= $true )
| ( ( ! [SY278: $i] :
( ~ ( m1_subset_1 @ SY278 @ ( u1_struct_0 @ SV32 ) )
| ~ ( ( ( k2_group_5 @ SV32 @ SY278 @ ( k3_group_1 @ SV32 @ SY278 ) )
!= ( k2_group_1 @ SV32 ) )
| ( ( k2_group_5 @ SV32 @ ( k3_group_1 @ SV32 @ SY278 ) @ SY278 )
!= ( k2_group_1 @ SV32 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6258]) ).
thf(6335,plain,
! [SV33: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV33 )
| ~ ( v3_group_1 @ SV33 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV33 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV33 ) )
= $true )
| ( ( ! [SY279: $i] :
( ~ ( m1_subset_1 @ SY279 @ ( u1_struct_0 @ SV33 ) )
| ! [SY280: $i] :
( ~ ( m1_subset_1 @ SY280 @ ( u1_struct_0 @ SV33 ) )
| ! [SY281: $i] :
( ~ ( m1_subset_1 @ SY281 @ ( u1_struct_0 @ SV33 ) )
| ( ( k2_group_3 @ SV33 @ SY279 @ SY280 )
!= ( k2_group_3 @ SV33 @ SY281 @ SY280 ) )
| ( SY279 = SY281 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6259]) ).
thf(6336,plain,
! [SV34: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV34 )
| ~ ( v3_group_1 @ SV34 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV34 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV34 ) )
= $true )
| ( ( ! [SY282: $i] :
( ~ ( m1_subset_1 @ SY282 @ ( u1_struct_0 @ SV34 ) )
| ! [SY283: $i] :
( ~ ( m1_subset_1 @ SY283 @ ( u1_struct_0 @ SV34 ) )
| ~ ( ( ( k1_group_1 @ SV34 @ SY282 @ SY283 )
= ( k2_group_1 @ SV34 ) )
| ( ( k1_group_1 @ SV34 @ SY283 @ SY282 )
= ( k2_group_1 @ SV34 ) ) )
| ~ ( ( SY282
!= ( k3_group_1 @ SV34 @ SY283 ) )
| ( SY283
!= ( k3_group_1 @ SV34 @ SY282 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6260]) ).
thf(6337,plain,
! [SV83: $i,SV35: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV35 )
| ~ ( v3_group_1 @ SV35 ) )
| ~ ( v4_group_1 @ SV35 ) )
| ~ ( l1_group_1 @ SV35 ) )
| ~ ~ ( v3_struct_0 @ SV83 ) )
| ~ ( v3_group_1 @ SV83 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV83 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV83 ) )
= $true )
| ( ( r1_group_6 @ SV35 @ SV35 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6261]) ).
thf(6338,plain,
! [SV36: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV36 )
| ~ ( v3_group_1 @ SV36 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV36 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV36 ) )
= $true )
| ( ( ! [SY285: $i] :
( ~ ( m1_subset_1 @ SY285 @ ( u1_struct_0 @ SV36 ) )
| ! [SY286: $i] :
( ~ ( m1_subset_1 @ SY286 @ ( u1_struct_0 @ SV36 ) )
| ! [SY287: $i] :
( ~ ( m1_subset_1 @ SY287 @ ( u1_struct_0 @ SV36 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV36 @ SY285 @ SY286 )
!= SY287 )
| ( SY285
= ( k1_group_1 @ SV36 @ SY287 @ ( k3_group_1 @ SV36 @ SY286 ) ) ) )
| ~ ( ( SY285
!= ( k1_group_1 @ SV36 @ SY287 @ ( k3_group_1 @ SV36 @ SY286 ) ) )
| ( ( k1_group_1 @ SV36 @ SY285 @ SY286 )
= SY287 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6262]) ).
thf(6339,plain,
! [SV37: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV37 )
| ~ ( v3_group_1 @ SV37 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV37 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV37 ) )
= $true )
| ( ( ! [SY288: $i] :
( ~ ( m1_group_2 @ SY288 @ SV37 )
| ( v4_group_1 @ SY288 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6263]) ).
thf(6340,plain,
( ( ~ ( ~ ( l1_group_1 @ sK5_SX0 )
| ~ ~ ( v3_struct_0 @ sK5_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6264]) ).
thf(6341,plain,
( ( v4_group_1 @ sK5_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6265]) ).
thf(6342,plain,
! [SV38: $i] :
( ( ( ~ ( v3_struct_0 @ SV38 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV38 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV38 ) )
= $true )
| ( ( ! [SY289: $i] :
( ~ ( m1_group_2 @ SY289 @ SV38 )
| ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY289 )
| ~ ( v3_group_1 @ SY289 ) )
| ~ ( l1_group_1 @ SY289 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6266]) ).
thf(6343,plain,
! [SV40: $i] :
( ( ( v3_struct_0 @ SV40 )
= $true )
| ( ( ~ ( v3_group_1 @ SV40 ) )
= $true )
| ( ( ~ ( ~ ~ ( v3_struct_0 @ SV40 )
| ~ ( v2_group_1 @ SV40 ) ) )
= $true )
| ( ( l1_group_1 @ SV40 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6267]) ).
thf(6344,plain,
! [SV41: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV41 )
| ~ ( v3_group_1 @ SV41 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV41 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV41 ) )
= $true )
| ( ( ! [SY291: $i] :
( ~ ( m1_subset_1 @ SY291 @ ( u1_struct_0 @ SV41 ) )
| ! [SY292: $i] :
( ~ ( m1_subset_1 @ SY292 @ ( u1_struct_0 @ SV41 ) )
| ( ( k3_group_1 @ SV41 @ ( k2_group_5 @ SV41 @ SY291 @ SY292 ) )
= ( k2_group_5 @ SV41 @ SY292 @ SY291 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6268]) ).
thf(6345,plain,
! [SV42: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV42 )
| ~ ( v3_group_1 @ SV42 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV42 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV42 ) )
= $true )
| ( ( ! [SY293: $i] :
( ~ ( m1_subset_1 @ SY293 @ ( u1_struct_0 @ SV42 ) )
| ! [SY294: $i] :
( ~ ( m1_subset_1 @ SY294 @ ( u1_struct_0 @ SV42 ) )
| ( ( k3_group_5 @ SV42 @ SY293 @ SY293 @ SY294 )
= ( k2_group_1 @ SV42 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6269]) ).
thf(6346,plain,
! [SV43: $i] :
( ( ( ~ ( v3_struct_0 @ SV43 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV43 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV43 ) )
= $true )
| ( ( ! [SY295: $i] :
( ~ ( m1_subset_1 @ SY295 @ ( u1_struct_0 @ SV43 ) )
| ~ ! [SY296: $i] :
( ~ ( m1_subset_1 @ SY296 @ ( u1_struct_0 @ SV43 ) )
| ~ ( ( ( k1_group_1 @ SV43 @ SY296 @ SY295 )
!= SY296 )
| ( ( k1_group_1 @ SV43 @ SY295 @ SY296 )
!= SY296 ) ) )
| ( SY295
= ( k2_group_1 @ SV43 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6270]) ).
thf(6347,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( l1_group_1 @ sK6_SX0 )
| ~ ~ ( v3_struct_0 @ sK6_SX0 ) )
| ~ ( v1_group_1 @ sK6_SX0 ) )
| ~ ( v2_group_1 @ sK6_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6271]) ).
thf(6348,plain,
( ( v3_group_1 @ sK6_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6272]) ).
thf(6349,plain,
! [SV44: $i] :
( ( ( ~ ( ~ ( v4_group_1 @ SV44 )
| ! [SY297: $i] :
( ~ ( m1_subset_1 @ SY297 @ ( u1_struct_0 @ SV44 ) )
| ! [SY298: $i] :
( ~ ( m1_subset_1 @ SY298 @ ( u1_struct_0 @ SV44 ) )
| ! [SY299: $i] :
( ~ ( m1_subset_1 @ SY299 @ ( u1_struct_0 @ SV44 ) )
| ( ( k1_group_1 @ SV44 @ ( k1_group_1 @ SV44 @ SY297 @ SY298 ) @ SY299 )
= ( k1_group_1 @ SV44 @ SY297 @ ( k1_group_1 @ SV44 @ SY298 @ SY299 ) ) ) ) ) ) )
| ~ ( ~ ! [SY300: $i] :
( ~ ( m1_subset_1 @ SY300 @ ( u1_struct_0 @ SV44 ) )
| ! [SY301: $i] :
( ~ ( m1_subset_1 @ SY301 @ ( u1_struct_0 @ SV44 ) )
| ! [SY302: $i] :
( ~ ( m1_subset_1 @ SY302 @ ( u1_struct_0 @ SV44 ) )
| ( ( k1_group_1 @ SV44 @ ( k1_group_1 @ SV44 @ SY300 @ SY301 ) @ SY302 )
= ( k1_group_1 @ SV44 @ SY300 @ ( k1_group_1 @ SV44 @ SY301 @ SY302 ) ) ) ) ) )
| ( v4_group_1 @ SV44 ) ) )
= $false )
| ( ( v3_struct_0 @ SV44 )
= $true )
| ( ( l1_group_1 @ SV44 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6273]) ).
thf(6350,plain,
! [SV45: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV45 )
| ~ ( v3_group_1 @ SV45 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV45 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV45 ) )
= $true )
| ( ( ! [SY303: $i] :
( ~ ( m1_subset_1 @ SY303 @ ( u1_struct_0 @ SV45 ) )
| ! [SY304: $i] :
( ~ ( m1_subset_1 @ SY304 @ ( u1_struct_0 @ SV45 ) )
| ( ( k3_group_1 @ SV45 @ ( k1_group_1 @ SV45 @ SY303 @ SY304 ) )
= ( k1_group_1 @ SV45 @ ( k3_group_1 @ SV45 @ SY304 ) @ ( k3_group_1 @ SV45 @ SY303 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6274]) ).
thf(6351,plain,
! [SV46: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV46 )
| ~ ( v1_group_1 @ SV46 ) )
| ~ ( v3_group_1 @ SV46 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV46 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV46 ) )
= $true )
| ( ( ( k6_autgroup @ SV46 @ ( k2_group_1 @ SV46 ) )
= ( k6_partfun1 @ ( u1_struct_0 @ SV46 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6275]) ).
thf(6352,plain,
! [SV98: $i,SV95: $i,SV84: $i,SV47: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV47 )
| ~ ( v3_group_1 @ SV47 ) )
| ~ ( v4_group_1 @ SV47 ) )
| ~ ( l1_group_1 @ SV47 ) )
| ~ ( m1_subset_1 @ SV84 @ ( u1_struct_0 @ SV47 ) ) )
| ~ ( m1_subset_1 @ SV95 @ ( u1_struct_0 @ SV47 ) ) ) )
= $false )
| ( ( ~ ( m1_subset_1 @ SV98 @ ( u1_struct_0 @ SV47 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k3_group_5 @ SV47 @ SV84 @ SV95 @ SV98 ) @ ( u1_struct_0 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6276]) ).
thf(6353,plain,
! [SV48: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV48 )
| ~ ( v3_group_1 @ SV48 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV48 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV48 ) )
= $true )
| ( ( ! [SY308: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY308 )
| ~ ( v3_group_1 @ SY308 ) )
| ~ ( v4_group_1 @ SY308 ) )
| ~ ( l1_group_1 @ SY308 ) )
| ! [SY309: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY309 )
| ~ ( v3_group_1 @ SY309 ) )
| ~ ( v4_group_1 @ SY309 ) )
| ~ ( l1_group_1 @ SY309 ) )
| ~ ~ ( ~ ( r1_group_6 @ SV48 @ SY308 )
| ~ ( r1_group_6 @ SY308 @ SY309 ) )
| ( r1_group_6 @ SV48 @ SY309 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6277]) ).
thf(6354,plain,
! [SV85: $i,SV49: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV49 )
| ~ ( v3_group_1 @ SV49 ) )
| ~ ( v4_group_1 @ SV49 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV49 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV85 @ ( u1_struct_0 @ SV49 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k3_group_1 @ SV49 @ SV85 ) @ ( u1_struct_0 @ SV49 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6278]) ).
thf(6355,plain,
! [SV50: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV50 )
| ~ ( v3_group_1 @ SV50 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV50 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV50 ) )
= $true )
| ( ( ( k3_group_1 @ SV50 @ ( k2_group_1 @ SV50 ) )
= ( k2_group_1 @ SV50 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6279]) ).
thf(6356,plain,
! [SV96: $i,SV86: $i,SV51: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV51 )
| ~ ( v3_group_1 @ SV51 ) )
| ~ ( v4_group_1 @ SV51 ) )
| ~ ( l1_group_1 @ SV51 ) )
| ~ ( m1_subset_1 @ SV86 @ ( u1_struct_0 @ SV51 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV96 @ ( u1_struct_0 @ SV51 ) ) )
= $true )
| ( ( ~ ( r2_group_3 @ SV51 @ SV86 @ SV96 )
| ( r2_group_3 @ SV51 @ SV96 @ SV86 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6280]) ).
thf(6357,plain,
! [SV52: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV52 )
| ~ ( v1_group_1 @ SV52 ) )
| ~ ( v3_group_1 @ SV52 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV52 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV52 ) )
= $true )
| ( ( ! [SY313: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY313 )
| ~ ( v1_group_1 @ SY313 ) )
| ~ ( v3_group_1 @ SY313 ) )
| ~ ( v4_group_1 @ SY313 ) )
| ~ ( l1_group_1 @ SY313 ) )
| ~ ( r1_group_6 @ SV52 @ SY313 )
| ( r1_group_6 @ SY313 @ SV52 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6281]) ).
thf(6358,plain,
! [SV53: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV53 )
| ~ ( v3_group_1 @ SV53 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV53 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV53 ) )
= $true )
| ( ( ! [SY314: $i] :
( ~ ( m1_group_2 @ SY314 @ SV53 )
| ( ( k2_group_1 @ SY314 )
= ( k2_group_1 @ SV53 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6282]) ).
thf(6359,plain,
! [SV54: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV54 )
| ~ ( v3_group_1 @ SV54 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV54 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV54 ) )
= $true )
| ( ( ! [SY315: $i] :
( ~ ( m1_subset_1 @ SY315 @ ( u1_struct_0 @ SV54 ) )
| ! [SY316: $i] :
( ~ ( m1_subset_1 @ SY316 @ ( u1_struct_0 @ SV54 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV54 @ SY315 @ SY316 )
!= ( k1_group_1 @ SV54 @ SY316 @ SY315 ) )
| ( ( k1_group_1 @ SV54 @ SY315 @ ( k3_group_1 @ SV54 @ SY316 ) )
= ( k1_group_1 @ SV54 @ ( k3_group_1 @ SV54 @ SY316 ) @ SY315 ) ) )
| ~ ( ( ( k1_group_1 @ SV54 @ SY315 @ ( k3_group_1 @ SV54 @ SY316 ) )
!= ( k1_group_1 @ SV54 @ ( k3_group_1 @ SV54 @ SY316 ) @ SY315 ) )
| ( ( k1_group_1 @ SV54 @ SY315 @ SY316 )
= ( k1_group_1 @ SV54 @ SY316 @ SY315 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6283]) ).
thf(6360,plain,
! [SV55: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV55 )
| ~ ( v3_group_1 @ SV55 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV55 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV55 ) )
= $true )
| ( ( ! [SY317: $i] :
( ~ ( m1_subset_1 @ SY317 @ ( u1_struct_0 @ SV55 ) )
| ! [SY318: $i] :
( ~ ( m1_group_2 @ SY318 @ SV55 )
| ! [SY319: $i] :
( ~ ( m1_subset_1 @ SY319 @ ( u1_struct_0 @ SY318 ) )
| ( SY319 != SY317 )
| ( ( k3_group_1 @ SY318 @ SY319 )
= ( k3_group_1 @ SV55 @ SY317 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6284]) ).
thf(6361,plain,
! [SV56: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV56 )
| ~ ( v3_group_1 @ SV56 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV56 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV56 ) )
= $true )
| ( ( ! [SY320: $i] :
( ~ ( m1_subset_1 @ SY320 @ ( u1_struct_0 @ SV56 ) )
| ! [SY321: $i] :
( ~ ( m1_subset_1 @ SY321 @ ( u1_struct_0 @ SV56 ) )
| ~ ~ ( ( ( k1_group_1 @ SV56 @ SY320 @ SY321 )
!= ( k2_group_1 @ SV56 ) )
| ( ( k1_group_1 @ SV56 @ SY321 @ SY320 )
!= ( k2_group_1 @ SV56 ) ) )
| ( SY321
= ( k3_group_1 @ SV56 @ SY320 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6285]) ).
thf(6362,plain,
! [SV57: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV57 )
| ~ ( v3_group_1 @ SV57 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV57 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV57 ) )
= $true )
| ( ( ! [SY322: $i] :
( ~ ( m1_subset_1 @ SY322 @ ( u1_struct_0 @ SV57 ) )
| ( ( k2_group_3 @ SV57 @ SY322 @ SY322 )
= SY322 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6286]) ).
thf(6363,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV59 )
| ~ ( v3_group_1 @ SV59 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV59 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV59 ) )
= $true )
| ( ( ! [SY324: $i] :
( ~ ( m1_subset_1 @ SY324 @ ( u1_struct_0 @ SV59 ) )
| ! [SY325: $i] :
( ~ ( m1_subset_1 @ SY325 @ ( u1_struct_0 @ SV59 ) )
| ~ ! [SY326: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY326 @ ( u1_struct_0 @ SV59 ) )
| ( ( k1_group_1 @ SV59 @ SY324 @ SY326 )
!= SY325 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6287]) ).
thf(6364,plain,
! [SV60: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV60 )
| ~ ( v3_group_1 @ SV60 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV60 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV60 ) )
= $true )
| ( ( ! [SY327: $i] :
( ~ ( m1_subset_1 @ SY327 @ ( u1_struct_0 @ SV60 ) )
| ! [SY328: $i] :
( ~ ( m1_subset_1 @ SY328 @ ( u1_struct_0 @ SV60 ) )
| ~ ( ~ ( ( SY328
!= ( k3_group_1 @ SV60 @ SY327 ) )
| ~ ( ( ( k1_group_1 @ SV60 @ SY327 @ SY328 )
!= ( k2_group_1 @ SV60 ) )
| ( ( k1_group_1 @ SV60 @ SY328 @ SY327 )
!= ( k2_group_1 @ SV60 ) ) ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV60 @ SY327 @ SY328 )
!= ( k2_group_1 @ SV60 ) )
| ( ( k1_group_1 @ SV60 @ SY328 @ SY327 )
!= ( k2_group_1 @ SV60 ) ) )
| ( SY328
= ( k3_group_1 @ SV60 @ SY327 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6288]) ).
thf(6365,plain,
! [SV87: $i,SV61: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV61 )
| ~ ( v1_group_1 @ SV61 ) )
| ~ ( v3_group_1 @ SV61 ) )
| ~ ( v4_group_1 @ SV61 ) )
| ~ ( l1_group_1 @ SV61 ) )
| ~ ~ ( v3_struct_0 @ SV87 ) )
| ~ ( v1_group_1 @ SV87 ) )
| ~ ( v3_group_1 @ SV87 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( r2_group_6 @ SV61 @ SV87 )
| ( r2_group_6 @ SV87 @ SV61 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6289]) ).
thf(6366,plain,
! [SV62: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV62 )
| ~ ( v1_group_1 @ SV62 ) )
| ~ ( v3_group_1 @ SV62 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV62 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV62 ) )
= $true )
| ( ( ! [SY330: $i] :
( ~ ( m1_subset_1 @ SY330 @ ( u1_struct_0 @ SV62 ) )
| ( ( k8_funct_2 @ ( u1_struct_0 @ SV62 ) @ ( u1_struct_0 @ SV62 ) @ ( k6_autgroup @ SV62 @ ( k2_group_1 @ SV62 ) ) @ SY330 )
= SY330 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6290]) ).
thf(6367,plain,
! [SV97: $i,SV88: $i,SV63: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV63 )
| ~ ( l1_group_1 @ SV63 ) )
| ~ ( m1_subset_1 @ SV88 @ ( u1_struct_0 @ SV63 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV97 @ ( u1_struct_0 @ SV63 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k1_group_1 @ SV63 @ SV88 @ SV97 ) @ ( u1_struct_0 @ SV63 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6291]) ).
thf(6368,plain,
! [SV64: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV64 )
| ~ ( v3_group_1 @ SV64 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV64 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV64 ) )
= $true )
| ( ( ! [SY333: $i] :
( ~ ( m1_subset_1 @ SY333 @ ( u1_struct_0 @ SV64 ) )
| ( ( k2_group_5 @ SV64 @ SY333 @ SY333 )
= ( k2_group_1 @ SV64 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6292]) ).
thf(6369,plain,
! [SV66: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV66 )
| ~ ( v3_group_1 @ SV66 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV66 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV66 ) )
= $true )
| ( ( ! [SY335: $i] :
( ~ ( m1_subset_1 @ SY335 @ ( u1_struct_0 @ SV66 ) )
| ! [SY336: $i] :
( ~ ( m1_subset_1 @ SY336 @ ( u1_struct_0 @ SV66 ) )
| ~ ( r1_group_3 @ SV66 @ SY335 @ SY336 )
| ( r1_group_3 @ SV66 @ SY336 @ SY335 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6293]) ).
thf(6370,plain,
! [SV67: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV67 )
| ~ ( v3_group_1 @ SV67 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV67 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV67 ) )
= $true )
| ( ( ! [SY337: $i] :
( ~ ( m1_subset_1 @ SY337 @ ( u1_struct_0 @ SV67 ) )
| ( ( k3_group_1 @ SV67 @ ( k3_group_1 @ SV67 @ SY337 ) )
= SY337 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6294]) ).
thf(6371,plain,
! [SV68: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV68 )
| ~ ( v3_group_1 @ SV68 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV68 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV68 ) )
= $true )
| ( ( ! [SY338: $i] :
( ~ ( m1_subset_1 @ SY338 @ ( u1_struct_0 @ SV68 ) )
| ( ( k2_group_3 @ SV68 @ SY338 @ ( k2_group_1 @ SV68 ) )
= SY338 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6295]) ).
thf(6372,plain,
! [SV101: $i,SV90: $i,SV100: $i,SV69: $i] :
( ( ( ( SV69 != SV100 )
| ( SV90 != SV101 ) )
= $false )
| ( ( ( g2_struct_0 @ SV69 @ SV90 )
= ( g2_struct_0 @ SV100 @ SV101 ) )
= $false )
| ( ( m1_subset_1 @ SV90 @ SV69 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6296]) ).
thf(6373,plain,
! [SV70: $i] :
( ( ( ~ ! [SY342: $i] :
( ~ ( m1_subset_1 @ SY342 @ ( u1_struct_0 @ SV70 ) )
| ! [SY343: $i] :
( ~ ( m1_subset_1 @ SY343 @ ( u1_struct_0 @ SV70 ) )
| ! [SY344: $i] :
( ~ ( m1_subset_1 @ SY344 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ SY342 @ SY343 ) @ SY344 )
= ( k1_group_1 @ SV70 @ SY342 @ ( k1_group_1 @ SV70 @ SY343 @ SY344 ) ) ) ) ) ) )
= $true )
| ( ( ! [SY345: $i] :
( ~ ( m1_subset_1 @ SY345 @ ( u1_struct_0 @ SV70 ) )
| ~ ! [SY346: $i] :
( ~ ( m1_subset_1 @ SY346 @ ( u1_struct_0 @ SV70 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV70 @ SY346 @ SY345 )
!= SY346 )
| ( ( k1_group_1 @ SV70 @ SY345 @ SY346 )
!= SY346 ) )
| ~ ~ ! [SY347: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY347 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ SY346 @ SY347 )
!= SY345 ) )
| ( ( k1_group_1 @ SV70 @ SY347 @ SY346 )
!= SY345 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6297]) ).
thf(6374,plain,
! [SV71: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV71 )
| ~ ( v3_group_1 @ SV71 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV71 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV71 ) )
= $true )
| ( ( ! [SY348: $i] :
( ~ ( m1_subset_1 @ SY348 @ ( u1_struct_0 @ SV71 ) )
| ! [SY349: $i] :
( ~ ( m1_subset_1 @ SY349 @ ( u1_struct_0 @ SV71 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SY348 @ SY349 ) @ ( k3_group_1 @ SV71 @ SY349 ) )
!= SY348 )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SY348 @ ( k3_group_1 @ SV71 @ SY349 ) ) @ SY349 )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY349 ) @ SY349 ) @ SY348 )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SY349 @ ( k3_group_1 @ SV71 @ SY349 ) ) @ SY348 )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ SY348 @ ( k1_group_1 @ SV71 @ SY349 @ ( k3_group_1 @ SV71 @ SY349 ) ) )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ SY348 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY349 ) @ SY349 ) )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY349 ) @ ( k1_group_1 @ SV71 @ SY349 @ SY348 ) )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ SY349 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY349 ) @ SY348 ) )
!= SY348 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6298]) ).
thf(6375,plain,
! [SV91: $i,SV72: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV72 )
| ~ ( v1_group_1 @ SV72 ) )
| ~ ( v3_group_1 @ SV72 ) )
| ~ ( v4_group_1 @ SV72 ) )
| ~ ( l1_group_1 @ SV72 ) )
| ~ ~ ( v3_struct_0 @ SV91 ) )
| ~ ( v1_group_1 @ SV91 ) )
| ~ ( v3_group_1 @ SV91 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV91 ) )
= $true )
| ( ( r2_group_6 @ SV72 @ SV72 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6299]) ).
thf(6376,plain,
! [SV73: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV73 )
| ~ ( v3_group_1 @ SV73 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV73 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV73 ) )
= $true )
| ( ( ! [SY351: $i] :
( ~ ( m1_subset_1 @ SY351 @ ( u1_struct_0 @ SV73 ) )
| ~ ( ( ( k2_group_3 @ SV73 @ SY351 @ ( k3_group_1 @ SV73 @ SY351 ) )
!= SY351 )
| ( ( k2_group_3 @ SV73 @ ( k3_group_1 @ SV73 @ SY351 ) @ SY351 )
!= ( k3_group_1 @ SV73 @ SY351 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6300]) ).
thf(6377,plain,
! [SV74: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV74 )
| ~ ( v3_group_1 @ SV74 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV74 ) )
= $true )
| ( ( ! [SY352: $i] :
( ~ ( m1_subset_1 @ SY352 @ ( u1_struct_0 @ SV74 ) )
| ! [SY353: $i] :
( ~ ( m1_subset_1 @ SY353 @ ( u1_struct_0 @ SV74 ) )
| ! [SY354: $i] :
( ~ ( m1_subset_1 @ SY354 @ ( u1_struct_0 @ SV74 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV74 @ SY352 @ SY353 )
!= SY354 )
| ( SY353
= ( k1_group_1 @ SV74 @ ( k3_group_1 @ SV74 @ SY352 ) @ SY354 ) ) )
| ~ ( ( SY353
!= ( k1_group_1 @ SV74 @ ( k3_group_1 @ SV74 @ SY352 ) @ SY354 ) )
| ( ( k1_group_1 @ SV74 @ SY352 @ SY353 )
= SY354 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6301]) ).
thf(6378,plain,
! [SV75: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV75 )
| ~ ( v3_group_1 @ SV75 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV75 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV75 ) )
= $true )
| ( ( ! [SY355: $i] :
( ~ ( m1_subset_1 @ SY355 @ ( u1_struct_0 @ SV75 ) )
| ( ( k3_group_1 @ SV75 @ SY355 )
!= ( k2_group_1 @ SV75 ) )
| ( SY355
= ( k2_group_1 @ SV75 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6302]) ).
thf(6379,plain,
( ( l1_group_1 @ sK10_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6303]) ).
thf(6380,plain,
( ( ~ ( v3_struct_0 @ sK10_SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6304]) ).
thf(6381,plain,
! [SV76: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV76 )
| ~ ( v3_group_1 @ SV76 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV76 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV76 ) )
= $true )
| ( ( ~ ( v5_group_1 @ ( k2_group_1 @ SV76 ) @ SV76 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6305]) ).
thf(6382,plain,
! [SV77: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV77 )
| ~ ( v3_group_1 @ SV77 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV77 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV77 ) )
= $true )
| ( ( ! [SY356: $i] :
( ~ ( m1_subset_1 @ SY356 @ ( u1_struct_0 @ SV77 ) )
| ! [SY357: $i] :
( ~ ( m1_subset_1 @ SY357 @ ( u1_struct_0 @ SV77 ) )
| ~ ! [SY358: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY358 @ ( u1_struct_0 @ SV77 ) )
| ( ( k1_group_1 @ SV77 @ SY358 @ SY356 )
!= SY357 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6306]) ).
thf(6383,plain,
! [SV78: $i] :
( ( ( ~ ( v3_struct_0 @ SV78 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV78 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV78 ) )
= $true )
| ( ( ~ ! [SY359: $i] :
~ ( m1_group_2 @ SY359 @ SV78 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6307]) ).
thf(6384,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV2 )
| ~ ( v1_group_1 @ SV2 ) )
| ~ ( v3_group_1 @ SV2 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV2 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV2 ) )
= $true )
| ( ( ! [SY222: $i] :
( ~ ( m1_subset_1 @ SY222 @ ( u1_struct_0 @ SV2 ) )
| ! [SY223: $i] :
( ~ ( m1_subset_1 @ SY223 @ ( u1_struct_0 @ SV2 ) )
| ( ( k6_autgroup @ SV2 @ ( k1_group_1 @ SV2 @ SY222 @ SY223 ) )
= ( k7_funct_2 @ ( u1_struct_0 @ SV2 ) @ ( u1_struct_0 @ SV2 ) @ ( u1_struct_0 @ SV2 ) @ ( k6_autgroup @ SV2 @ SY222 ) @ ( k6_autgroup @ SV2 @ SY223 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6308]) ).
thf(6385,plain,
! [SV3: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV3 )
| ~ ( v3_group_1 @ SV3 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV3 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV3 ) )
= $true )
| ( ( ! [SY224: $i] :
( ~ ( m1_subset_1 @ SY224 @ ( u1_struct_0 @ SV3 ) )
| ! [SY225: $i] :
( ~ ( m1_subset_1 @ SY225 @ ( u1_struct_0 @ SV3 ) )
| ~ ( ( ( k1_group_1 @ SV3 @ SY224 @ SY225 )
= SY224 )
| ( ( k1_group_1 @ SV3 @ SY225 @ SY224 )
= SY224 ) )
| ( SY225
= ( k2_group_1 @ SV3 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6309]) ).
thf(6386,plain,
! [SV4: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV4 )
| ~ ( v3_group_1 @ SV4 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV4 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV4 ) )
= $true )
| ( ( ! [SY226: $i] :
( ~ ( m1_group_2 @ SY226 @ SV4 )
| ! [SY227: $i] :
( ~ ( m1_group_2 @ SY227 @ SV4 )
| ( ( k2_group_1 @ SY226 )
= ( k2_group_1 @ SY227 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6310]) ).
thf(6387,plain,
! [SV5: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV5 )
| ~ ( v3_group_1 @ SV5 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV5 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV5 ) )
= $true )
| ( ( ! [SY228: $i] :
( ~ ( m1_subset_1 @ SY228 @ ( u1_struct_0 @ SV5 ) )
| ! [SY229: $i] :
( ~ ( m1_subset_1 @ SY229 @ ( u1_struct_0 @ SV5 ) )
| ~ ( ( ( k2_group_3 @ SV5 @ ( k2_group_3 @ SV5 @ SY228 @ SY229 ) @ ( k3_group_1 @ SV5 @ SY229 ) )
!= SY228 )
| ( ( k2_group_3 @ SV5 @ ( k2_group_3 @ SV5 @ SY228 @ ( k3_group_1 @ SV5 @ SY229 ) ) @ SY229 )
!= SY228 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6311]) ).
thf(6388,plain,
! [SV6: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV6 )
| ~ ( v3_group_1 @ SV6 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV6 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV6 ) )
= $true )
| ( ( ! [SY230: $i] :
( ~ ( m1_subset_1 @ SY230 @ ( u1_struct_0 @ SV6 ) )
| ( ( k2_group_3 @ SV6 @ ( k2_group_1 @ SV6 ) @ SY230 )
= ( k2_group_1 @ SV6 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6312]) ).
thf(6389,plain,
! [SV7: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV7 )
| ~ ( v3_group_1 @ SV7 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV7 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV7 ) )
= $true )
| ( ( ! [SY231: $i] :
( ~ ( m1_subset_1 @ SY231 @ ( u1_struct_0 @ SV7 ) )
| ~ ( ( r2_group_3 @ SV7 @ SY231 @ ( k2_group_1 @ SV7 ) )
| ( r2_group_3 @ SV7 @ ( k2_group_1 @ SV7 ) @ SY231 ) )
| ( SY231
= ( k2_group_1 @ SV7 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6313]) ).
thf(6390,plain,
! [SV8: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV8 )
| ~ ( v3_group_1 @ SV8 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV8 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV8 ) )
= $true )
| ( ( ! [SY232: $i] :
( ~ ( m1_subset_1 @ SY232 @ ( u1_struct_0 @ SV8 ) )
| ! [SY233: $i] :
( ~ ( m1_subset_1 @ SY233 @ ( u1_struct_0 @ SV8 ) )
| ! [SY234: $i] :
( ~ ( m1_subset_1 @ SY234 @ ( u1_struct_0 @ SV8 ) )
| ~ ( ( ( k1_group_1 @ SV8 @ SY232 @ SY233 )
= ( k1_group_1 @ SV8 @ SY232 @ SY234 ) )
| ( ( k1_group_1 @ SV8 @ SY233 @ SY232 )
= ( k1_group_1 @ SV8 @ SY234 @ SY232 ) ) )
| ( SY233 = SY234 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6314]) ).
thf(6391,plain,
! [SV10: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV10 )
| ~ ( v3_group_1 @ SV10 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV10 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV10 ) )
= $true )
| ( ( ! [SY235: $i] :
( ~ ( m1_subset_1 @ SY235 @ ( u1_struct_0 @ SV10 ) )
| ! [SY236: $i] :
( ~ ( m1_subset_1 @ SY236 @ ( u1_struct_0 @ SV10 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV10 @ SY235 @ SY236 )
!= ( k1_group_1 @ SV10 @ SY236 @ SY235 ) )
| ( ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY235 ) @ ( k3_group_1 @ SV10 @ SY236 ) )
= ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY236 ) @ ( k3_group_1 @ SV10 @ SY235 ) ) ) )
| ~ ( ( ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY235 ) @ ( k3_group_1 @ SV10 @ SY236 ) )
!= ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY236 ) @ ( k3_group_1 @ SV10 @ SY235 ) ) )
| ( ( k1_group_1 @ SV10 @ SY235 @ SY236 )
= ( k1_group_1 @ SV10 @ SY236 @ SY235 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6315]) ).
thf(6392,plain,
! [SV11: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV11 )
| ~ ( v1_group_1 @ SV11 ) )
| ~ ( v3_group_1 @ SV11 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV11 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV11 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k3_autgroup @ SV11 ) )
| ~ ( v1_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( v3_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( v4_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( l1_group_1 @ ( k3_autgroup @ SV11 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6316]) ).
thf(6393,plain,
! [SV12: $i] :
( ( ( v3_struct_0 @ SV12 )
= $true )
| ( ( ~ ( v3_group_1 @ SV12 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV12 ) )
= $true )
| ( ( ! [SY237: $i] :
( ~ ( m1_group_2 @ SY237 @ SV12 )
| ! [SY238: $i] :
( ~ ( m1_subset_1 @ SY238 @ ( u1_struct_0 @ SY237 ) )
| ( m1_subset_1 @ SY238 @ ( u1_struct_0 @ SV12 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6317]) ).
thf(6394,plain,
! [SV13: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV13 )
| ~ ( v3_group_1 @ SV13 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV13 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV13 ) )
= $true )
| ( ( ! [SY239: $i] :
( ~ ( m1_subset_1 @ SY239 @ ( u1_struct_0 @ SV13 ) )
| ! [SY240: $i] :
( ~ ( m1_subset_1 @ SY240 @ ( u1_struct_0 @ SV13 ) )
| ~ ( ~ ~ ( ( ( k3_group_5 @ SV13 @ SY239 @ SY240 @ ( k2_group_1 @ SV13 ) )
!= ( k2_group_1 @ SV13 ) )
| ( ( k3_group_5 @ SV13 @ SY239 @ ( k2_group_1 @ SV13 ) @ SY240 )
!= ( k2_group_1 @ SV13 ) ) )
| ( ( k3_group_5 @ SV13 @ ( k2_group_1 @ SV13 ) @ SY239 @ SY240 )
!= ( k2_group_1 @ SV13 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6318]) ).
thf(6395,plain,
! [SV15: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV15 )
| ~ ( v3_group_1 @ SV15 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV15 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV15 ) )
= $true )
| ( ( ! [SY241: $i] :
( ~ ( m1_subset_1 @ SY241 @ ( u1_struct_0 @ SV15 ) )
| ! [SY242: $i] :
( ~ ( m1_subset_1 @ SY242 @ ( u1_struct_0 @ SV15 ) )
| ( ( k2_group_3 @ SV15 @ ( k3_group_1 @ SV15 @ SY241 ) @ SY242 )
= ( k3_group_1 @ SV15 @ ( k2_group_3 @ SV15 @ SY241 @ SY242 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6319]) ).
thf(6396,plain,
! [SV16: $i] :
( ( ( ~ ( ~ ( v3_group_1 @ SV16 )
| ~ ! [SY243: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY243 @ ( u1_struct_0 @ SV16 ) )
| ~ ! [SY244: $i] :
( ~ ( m1_subset_1 @ SY244 @ ( u1_struct_0 @ SV16 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV16 @ SY244 @ SY243 )
!= SY244 )
| ( ( k1_group_1 @ SV16 @ SY243 @ SY244 )
!= SY244 ) )
| ~ ~ ! [SY245: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY245 @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ SY244 @ SY245 )
!= SY243 ) )
| ( ( k1_group_1 @ SV16 @ SY245 @ SY244 )
!= SY243 ) ) ) ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6320]) ).
thf(6397,plain,
! [SV16: $i] :
( ( ( ~ ( ~ ~ ! [SY246: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY246 @ ( u1_struct_0 @ SV16 ) )
| ~ ! [SY247: $i] :
( ~ ( m1_subset_1 @ SY247 @ ( u1_struct_0 @ SV16 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV16 @ SY247 @ SY246 )
!= SY247 )
| ( ( k1_group_1 @ SV16 @ SY246 @ SY247 )
!= SY247 ) )
| ~ ~ ! [SY248: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY248 @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ SY247 @ SY248 )
!= SY246 ) )
| ( ( k1_group_1 @ SV16 @ SY248 @ SY247 )
!= SY246 ) ) ) ) )
| ( v3_group_1 @ SV16 ) ) )
= $false )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6320]) ).
thf(6398,plain,
! [SV17: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV17 )
| ~ ( v3_group_1 @ SV17 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV17 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV17 ) )
= $true )
| ( ( ! [SY249: $i] :
( ~ ( m1_subset_1 @ SY249 @ ( u1_struct_0 @ SV17 ) )
| ! [SY250: $i] :
( ~ ( m1_subset_1 @ SY250 @ ( u1_struct_0 @ SV17 ) )
| ( ( k2_group_3 @ SV17 @ SY249 @ SY250 )
!= ( k2_group_1 @ SV17 ) )
| ( SY249
= ( k2_group_1 @ SV17 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6321]) ).
thf(6399,plain,
! [SV18: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV18 )
| ~ ( v3_group_1 @ SV18 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV18 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV18 ) )
= $true )
| ( ( ! [SY251: $i] :
( ~ ( m1_subset_1 @ SY251 @ ( u1_struct_0 @ SV18 ) )
| ( r1_group_3 @ SV18 @ SY251 @ SY251 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6322]) ).
thf(6400,plain,
! [SV92: $i,SV79: $i,SV19: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV19 )
| ~ ( v3_group_1 @ SV19 ) )
| ~ ( v4_group_1 @ SV19 ) )
| ~ ( l1_group_1 @ SV19 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV79 @ ( u1_struct_0 @ SV19 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV92 @ ( u1_struct_0 @ SV19 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k2_group_3 @ SV19 @ SV79 @ SV92 ) @ ( u1_struct_0 @ SV19 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6323]) ).
thf(6401,plain,
! [SV21: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV21 )
| ~ ( v3_group_1 @ SV21 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV21 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV21 ) )
= $true )
| ( ( ! [SY254: $i] :
( ~ ( m1_subset_1 @ SY254 @ ( u1_struct_0 @ SV21 ) )
| ! [SY255: $i] :
( ~ ( m1_subset_1 @ SY255 @ ( u1_struct_0 @ SV21 ) )
| ! [SY256: $i] :
( ~ ( m1_subset_1 @ SY256 @ ( u1_struct_0 @ SV21 ) )
| ~ ~ ( ~ ( r2_group_3 @ SV21 @ SY254 @ SY255 )
| ~ ( r2_group_3 @ SV21 @ SY255 @ SY256 ) )
| ( r2_group_3 @ SV21 @ SY254 @ SY256 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6324]) ).
thf(6402,plain,
! [SV22: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV22 )
| ~ ( v1_group_1 @ SV22 ) )
| ~ ( v3_group_1 @ SV22 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV22 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV22 ) )
= $true )
| ( ( ! [SY257: $i] :
( ~ ~ ( ~ ( v1_group_1 @ SY257 )
| ~ ( m1_group_2 @ SY257 @ SV22 ) )
| ( ( u1_struct_0 @ SY257 )
!= ( u1_struct_0 @ SV22 ) )
| ( SY257 = SV22 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6325]) ).
thf(6403,plain,
! [SV23: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV23 )
| ~ ( v3_group_1 @ SV23 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV23 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV23 ) )
= $true )
| ( ( ! [SY258: $i] :
( ~ ( m1_subset_1 @ SY258 @ ( u1_struct_0 @ SV23 ) )
| ! [SY259: $i] :
( ~ ( m1_subset_1 @ SY259 @ ( u1_struct_0 @ SV23 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV23 @ SY258 @ SY259 )
!= ( k1_group_1 @ SV23 @ SY259 @ SY258 ) )
| ( ( k3_group_1 @ SV23 @ ( k1_group_1 @ SV23 @ SY258 @ SY259 ) )
= ( k1_group_1 @ SV23 @ ( k3_group_1 @ SV23 @ SY258 ) @ ( k3_group_1 @ SV23 @ SY259 ) ) ) )
| ~ ( ( ( k3_group_1 @ SV23 @ ( k1_group_1 @ SV23 @ SY258 @ SY259 ) )
!= ( k1_group_1 @ SV23 @ ( k3_group_1 @ SV23 @ SY258 ) @ ( k3_group_1 @ SV23 @ SY259 ) ) )
| ( ( k1_group_1 @ SV23 @ SY258 @ SY259 )
= ( k1_group_1 @ SV23 @ SY259 @ SY258 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6326]) ).
thf(6404,plain,
! [SV24: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV24 )
| ~ ( v3_group_1 @ SV24 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV24 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV24 ) )
= $true )
| ( ( ! [SY260: $i] :
( ~ ( m1_subset_1 @ SY260 @ ( u1_struct_0 @ SV24 ) )
| ~ ( ( ( k2_group_5 @ SV24 @ ( k2_group_1 @ SV24 ) @ SY260 )
!= ( k2_group_1 @ SV24 ) )
| ( ( k2_group_5 @ SV24 @ SY260 @ ( k2_group_1 @ SV24 ) )
!= ( k2_group_1 @ SV24 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6327]) ).
thf(6405,plain,
! [SV25: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV25 )
| ~ ( v3_group_1 @ SV25 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV25 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV25 ) )
= $true )
| ( ( m1_group_2 @ SV25 @ SV25 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6328]) ).
thf(6406,plain,
! [SV26: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV26 )
| ~ ( v3_group_1 @ SV26 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV26 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV26 ) )
= $true )
| ( ( ! [SY261: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY261 )
| ~ ( v3_group_1 @ SY261 ) )
| ~ ( v4_group_1 @ SY261 ) )
| ~ ( l1_group_1 @ SY261 ) )
| ! [SY262: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY262 )
| ~ ( v3_group_1 @ SY262 ) )
| ~ ( v4_group_1 @ SY262 ) )
| ~ ( l1_group_1 @ SY262 ) )
| ~ ~ ( ~ ( m1_group_2 @ SV26 @ SY261 )
| ~ ( m1_group_2 @ SY261 @ SY262 ) )
| ( m1_group_2 @ SV26 @ SY262 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6329]) ).
thf(6407,plain,
! [SV28: $i] :
( ( ( ~ ( ~ ! [SY265: $i] :
( ~ ( m1_subset_1 @ SY265 @ ( u1_struct_0 @ SV28 ) )
| ! [SY266: $i] :
( ~ ( m1_subset_1 @ SY266 @ ( u1_struct_0 @ SV28 ) )
| ! [SY267: $i] :
( ~ ( m1_subset_1 @ SY267 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ ( k1_group_1 @ SV28 @ SY265 @ SY266 ) @ SY267 )
= ( k1_group_1 @ SV28 @ SY265 @ ( k1_group_1 @ SV28 @ SY266 @ SY267 ) ) ) ) ) )
| ~ ! [SY268: $i] :
( ~ ( m1_subset_1 @ SY268 @ ( u1_struct_0 @ SV28 ) )
| ! [SY269: $i] :
( ~ ( m1_subset_1 @ SY269 @ ( u1_struct_0 @ SV28 ) )
| ~ ( ~ ~ ! [SY270: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY270 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY268 @ SY270 )
!= SY269 ) )
| ~ ~ ! [SY271: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY271 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY271 @ SY268 )
!= SY269 ) ) ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6330]) ).
thf(6408,plain,
! [SV93: $i,SV81: $i,SV29: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV29 )
| ~ ( v3_group_1 @ SV29 ) )
| ~ ( v4_group_1 @ SV29 ) )
| ~ ( l1_group_1 @ SV29 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV81 @ ( u1_struct_0 @ SV29 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV93 @ ( u1_struct_0 @ SV29 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k2_group_5 @ SV29 @ SV81 @ SV93 ) @ ( u1_struct_0 @ SV29 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6331]) ).
thf(6409,plain,
! [SV94: $i,SV82: $i,SV30: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV30 )
| ~ ( v3_group_1 @ SV30 ) )
| ~ ( v4_group_1 @ SV30 ) )
| ~ ( l1_group_1 @ SV30 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV82 @ ( u1_struct_0 @ SV30 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV94 @ ( u1_struct_0 @ SV30 ) ) )
= $true )
| ( ( r2_group_3 @ SV30 @ SV82 @ SV82 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6332]) ).
thf(6410,plain,
! [SV31: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV31 )
| ~ ( v3_group_1 @ SV31 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV31 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV31 ) )
= $true )
| ( ( ! [SY276: $i] :
( ~ ( m1_subset_1 @ SY276 @ ( u1_struct_0 @ SV31 ) )
| ! [SY277: $i] :
( ~ ( m1_subset_1 @ SY277 @ ( u1_struct_0 @ SV31 ) )
| ( ( k3_group_1 @ SV31 @ SY276 )
!= ( k3_group_1 @ SV31 @ SY277 ) )
| ( SY276 = SY277 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6333]) ).
thf(6411,plain,
! [SV32: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV32 )
| ~ ( v3_group_1 @ SV32 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV32 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV32 ) )
= $true )
| ( ( ! [SY278: $i] :
( ~ ( m1_subset_1 @ SY278 @ ( u1_struct_0 @ SV32 ) )
| ~ ( ( ( k2_group_5 @ SV32 @ SY278 @ ( k3_group_1 @ SV32 @ SY278 ) )
!= ( k2_group_1 @ SV32 ) )
| ( ( k2_group_5 @ SV32 @ ( k3_group_1 @ SV32 @ SY278 ) @ SY278 )
!= ( k2_group_1 @ SV32 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6334]) ).
thf(6412,plain,
! [SV33: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV33 )
| ~ ( v3_group_1 @ SV33 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV33 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV33 ) )
= $true )
| ( ( ! [SY279: $i] :
( ~ ( m1_subset_1 @ SY279 @ ( u1_struct_0 @ SV33 ) )
| ! [SY280: $i] :
( ~ ( m1_subset_1 @ SY280 @ ( u1_struct_0 @ SV33 ) )
| ! [SY281: $i] :
( ~ ( m1_subset_1 @ SY281 @ ( u1_struct_0 @ SV33 ) )
| ( ( k2_group_3 @ SV33 @ SY279 @ SY280 )
!= ( k2_group_3 @ SV33 @ SY281 @ SY280 ) )
| ( SY279 = SY281 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6335]) ).
thf(6413,plain,
! [SV34: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV34 )
| ~ ( v3_group_1 @ SV34 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV34 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV34 ) )
= $true )
| ( ( ! [SY282: $i] :
( ~ ( m1_subset_1 @ SY282 @ ( u1_struct_0 @ SV34 ) )
| ! [SY283: $i] :
( ~ ( m1_subset_1 @ SY283 @ ( u1_struct_0 @ SV34 ) )
| ~ ( ( ( k1_group_1 @ SV34 @ SY282 @ SY283 )
= ( k2_group_1 @ SV34 ) )
| ( ( k1_group_1 @ SV34 @ SY283 @ SY282 )
= ( k2_group_1 @ SV34 ) ) )
| ~ ( ( SY282
!= ( k3_group_1 @ SV34 @ SY283 ) )
| ( SY283
!= ( k3_group_1 @ SV34 @ SY282 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6336]) ).
thf(6414,plain,
! [SV83: $i,SV35: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV35 )
| ~ ( v3_group_1 @ SV35 ) )
| ~ ( v4_group_1 @ SV35 ) )
| ~ ( l1_group_1 @ SV35 ) )
| ~ ~ ( v3_struct_0 @ SV83 ) )
| ~ ( v3_group_1 @ SV83 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV83 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV83 ) )
= $true )
| ( ( r1_group_6 @ SV35 @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6337]) ).
thf(6415,plain,
! [SV36: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV36 )
| ~ ( v3_group_1 @ SV36 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV36 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV36 ) )
= $true )
| ( ( ! [SY285: $i] :
( ~ ( m1_subset_1 @ SY285 @ ( u1_struct_0 @ SV36 ) )
| ! [SY286: $i] :
( ~ ( m1_subset_1 @ SY286 @ ( u1_struct_0 @ SV36 ) )
| ! [SY287: $i] :
( ~ ( m1_subset_1 @ SY287 @ ( u1_struct_0 @ SV36 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV36 @ SY285 @ SY286 )
!= SY287 )
| ( SY285
= ( k1_group_1 @ SV36 @ SY287 @ ( k3_group_1 @ SV36 @ SY286 ) ) ) )
| ~ ( ( SY285
!= ( k1_group_1 @ SV36 @ SY287 @ ( k3_group_1 @ SV36 @ SY286 ) ) )
| ( ( k1_group_1 @ SV36 @ SY285 @ SY286 )
= SY287 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6338]) ).
thf(6416,plain,
! [SV37: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV37 )
| ~ ( v3_group_1 @ SV37 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV37 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV37 ) )
= $true )
| ( ( ! [SY288: $i] :
( ~ ( m1_group_2 @ SY288 @ SV37 )
| ( v4_group_1 @ SY288 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6339]) ).
thf(6417,plain,
( ( ~ ( l1_group_1 @ sK5_SX0 )
| ~ ~ ( v3_struct_0 @ sK5_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6340]) ).
thf(6418,plain,
! [SV38: $i] :
( ( ( v3_struct_0 @ SV38 )
= $true )
| ( ( ~ ( v3_group_1 @ SV38 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV38 ) )
= $true )
| ( ( ! [SY289: $i] :
( ~ ( m1_group_2 @ SY289 @ SV38 )
| ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY289 )
| ~ ( v3_group_1 @ SY289 ) )
| ~ ( l1_group_1 @ SY289 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6342]) ).
thf(6419,plain,
! [SV40: $i] :
( ( ( v3_group_1 @ SV40 )
= $false )
| ( ( v3_struct_0 @ SV40 )
= $true )
| ( ( ~ ( ~ ~ ( v3_struct_0 @ SV40 )
| ~ ( v2_group_1 @ SV40 ) ) )
= $true )
| ( ( l1_group_1 @ SV40 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6343]) ).
thf(6420,plain,
! [SV41: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV41 )
| ~ ( v3_group_1 @ SV41 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV41 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV41 ) )
= $true )
| ( ( ! [SY291: $i] :
( ~ ( m1_subset_1 @ SY291 @ ( u1_struct_0 @ SV41 ) )
| ! [SY292: $i] :
( ~ ( m1_subset_1 @ SY292 @ ( u1_struct_0 @ SV41 ) )
| ( ( k3_group_1 @ SV41 @ ( k2_group_5 @ SV41 @ SY291 @ SY292 ) )
= ( k2_group_5 @ SV41 @ SY292 @ SY291 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6344]) ).
thf(6421,plain,
! [SV42: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV42 )
| ~ ( v3_group_1 @ SV42 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV42 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV42 ) )
= $true )
| ( ( ! [SY293: $i] :
( ~ ( m1_subset_1 @ SY293 @ ( u1_struct_0 @ SV42 ) )
| ! [SY294: $i] :
( ~ ( m1_subset_1 @ SY294 @ ( u1_struct_0 @ SV42 ) )
| ( ( k3_group_5 @ SV42 @ SY293 @ SY293 @ SY294 )
= ( k2_group_1 @ SV42 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6345]) ).
thf(6422,plain,
! [SV43: $i] :
( ( ( v3_struct_0 @ SV43 )
= $true )
| ( ( ~ ( v3_group_1 @ SV43 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV43 ) )
= $true )
| ( ( ! [SY295: $i] :
( ~ ( m1_subset_1 @ SY295 @ ( u1_struct_0 @ SV43 ) )
| ~ ! [SY296: $i] :
( ~ ( m1_subset_1 @ SY296 @ ( u1_struct_0 @ SV43 ) )
| ~ ( ( ( k1_group_1 @ SV43 @ SY296 @ SY295 )
!= SY296 )
| ( ( k1_group_1 @ SV43 @ SY295 @ SY296 )
!= SY296 ) ) )
| ( SY295
= ( k2_group_1 @ SV43 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6346]) ).
thf(6423,plain,
( ( ~ ~ ( ~ ~ ( ~ ( l1_group_1 @ sK6_SX0 )
| ~ ~ ( v3_struct_0 @ sK6_SX0 ) )
| ~ ( v1_group_1 @ sK6_SX0 ) )
| ~ ( v2_group_1 @ sK6_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6347]) ).
thf(6424,plain,
! [SV44: $i] :
( ( ( ~ ( ~ ( v4_group_1 @ SV44 )
| ! [SY297: $i] :
( ~ ( m1_subset_1 @ SY297 @ ( u1_struct_0 @ SV44 ) )
| ! [SY298: $i] :
( ~ ( m1_subset_1 @ SY298 @ ( u1_struct_0 @ SV44 ) )
| ! [SY299: $i] :
( ~ ( m1_subset_1 @ SY299 @ ( u1_struct_0 @ SV44 ) )
| ( ( k1_group_1 @ SV44 @ ( k1_group_1 @ SV44 @ SY297 @ SY298 ) @ SY299 )
= ( k1_group_1 @ SV44 @ SY297 @ ( k1_group_1 @ SV44 @ SY298 @ SY299 ) ) ) ) ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV44 )
= $true )
| ( ( l1_group_1 @ SV44 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6349]) ).
thf(6425,plain,
! [SV44: $i] :
( ( ( ~ ( ~ ! [SY300: $i] :
( ~ ( m1_subset_1 @ SY300 @ ( u1_struct_0 @ SV44 ) )
| ! [SY301: $i] :
( ~ ( m1_subset_1 @ SY301 @ ( u1_struct_0 @ SV44 ) )
| ! [SY302: $i] :
( ~ ( m1_subset_1 @ SY302 @ ( u1_struct_0 @ SV44 ) )
| ( ( k1_group_1 @ SV44 @ ( k1_group_1 @ SV44 @ SY300 @ SY301 ) @ SY302 )
= ( k1_group_1 @ SV44 @ SY300 @ ( k1_group_1 @ SV44 @ SY301 @ SY302 ) ) ) ) ) )
| ( v4_group_1 @ SV44 ) ) )
= $false )
| ( ( v3_struct_0 @ SV44 )
= $true )
| ( ( l1_group_1 @ SV44 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6349]) ).
thf(6426,plain,
! [SV45: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV45 )
| ~ ( v3_group_1 @ SV45 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV45 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV45 ) )
= $true )
| ( ( ! [SY303: $i] :
( ~ ( m1_subset_1 @ SY303 @ ( u1_struct_0 @ SV45 ) )
| ! [SY304: $i] :
( ~ ( m1_subset_1 @ SY304 @ ( u1_struct_0 @ SV45 ) )
| ( ( k3_group_1 @ SV45 @ ( k1_group_1 @ SV45 @ SY303 @ SY304 ) )
= ( k1_group_1 @ SV45 @ ( k3_group_1 @ SV45 @ SY304 ) @ ( k3_group_1 @ SV45 @ SY303 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6350]) ).
thf(6427,plain,
! [SV46: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV46 )
| ~ ( v1_group_1 @ SV46 ) )
| ~ ( v3_group_1 @ SV46 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV46 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV46 ) )
= $true )
| ( ( ( k6_autgroup @ SV46 @ ( k2_group_1 @ SV46 ) )
= ( k6_partfun1 @ ( u1_struct_0 @ SV46 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6351]) ).
thf(6428,plain,
! [SV98: $i,SV95: $i,SV84: $i,SV47: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV47 )
| ~ ( v3_group_1 @ SV47 ) )
| ~ ( v4_group_1 @ SV47 ) )
| ~ ( l1_group_1 @ SV47 ) )
| ~ ( m1_subset_1 @ SV84 @ ( u1_struct_0 @ SV47 ) ) )
| ~ ( m1_subset_1 @ SV95 @ ( u1_struct_0 @ SV47 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV98 @ ( u1_struct_0 @ SV47 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k3_group_5 @ SV47 @ SV84 @ SV95 @ SV98 ) @ ( u1_struct_0 @ SV47 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6352]) ).
thf(6429,plain,
! [SV48: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV48 )
| ~ ( v3_group_1 @ SV48 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV48 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV48 ) )
= $true )
| ( ( ! [SY308: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY308 )
| ~ ( v3_group_1 @ SY308 ) )
| ~ ( v4_group_1 @ SY308 ) )
| ~ ( l1_group_1 @ SY308 ) )
| ! [SY309: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY309 )
| ~ ( v3_group_1 @ SY309 ) )
| ~ ( v4_group_1 @ SY309 ) )
| ~ ( l1_group_1 @ SY309 ) )
| ~ ~ ( ~ ( r1_group_6 @ SV48 @ SY308 )
| ~ ( r1_group_6 @ SY308 @ SY309 ) )
| ( r1_group_6 @ SV48 @ SY309 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6353]) ).
thf(6430,plain,
! [SV85: $i,SV49: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV49 )
| ~ ( v3_group_1 @ SV49 ) )
| ~ ( v4_group_1 @ SV49 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV49 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV85 @ ( u1_struct_0 @ SV49 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k3_group_1 @ SV49 @ SV85 ) @ ( u1_struct_0 @ SV49 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6354]) ).
thf(6431,plain,
! [SV50: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV50 )
| ~ ( v3_group_1 @ SV50 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV50 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV50 ) )
= $true )
| ( ( ( k3_group_1 @ SV50 @ ( k2_group_1 @ SV50 ) )
= ( k2_group_1 @ SV50 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6355]) ).
thf(6432,plain,
! [SV96: $i,SV86: $i,SV51: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV51 )
| ~ ( v3_group_1 @ SV51 ) )
| ~ ( v4_group_1 @ SV51 ) )
| ~ ( l1_group_1 @ SV51 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV86 @ ( u1_struct_0 @ SV51 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV96 @ ( u1_struct_0 @ SV51 ) ) )
= $true )
| ( ( ~ ( r2_group_3 @ SV51 @ SV86 @ SV96 )
| ( r2_group_3 @ SV51 @ SV96 @ SV86 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6356]) ).
thf(6433,plain,
! [SV52: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV52 )
| ~ ( v1_group_1 @ SV52 ) )
| ~ ( v3_group_1 @ SV52 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV52 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV52 ) )
= $true )
| ( ( ! [SY313: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY313 )
| ~ ( v1_group_1 @ SY313 ) )
| ~ ( v3_group_1 @ SY313 ) )
| ~ ( v4_group_1 @ SY313 ) )
| ~ ( l1_group_1 @ SY313 ) )
| ~ ( r1_group_6 @ SV52 @ SY313 )
| ( r1_group_6 @ SY313 @ SV52 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6357]) ).
thf(6434,plain,
! [SV53: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV53 )
| ~ ( v3_group_1 @ SV53 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV53 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV53 ) )
= $true )
| ( ( ! [SY314: $i] :
( ~ ( m1_group_2 @ SY314 @ SV53 )
| ( ( k2_group_1 @ SY314 )
= ( k2_group_1 @ SV53 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6358]) ).
thf(6435,plain,
! [SV54: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV54 )
| ~ ( v3_group_1 @ SV54 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV54 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV54 ) )
= $true )
| ( ( ! [SY315: $i] :
( ~ ( m1_subset_1 @ SY315 @ ( u1_struct_0 @ SV54 ) )
| ! [SY316: $i] :
( ~ ( m1_subset_1 @ SY316 @ ( u1_struct_0 @ SV54 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV54 @ SY315 @ SY316 )
!= ( k1_group_1 @ SV54 @ SY316 @ SY315 ) )
| ( ( k1_group_1 @ SV54 @ SY315 @ ( k3_group_1 @ SV54 @ SY316 ) )
= ( k1_group_1 @ SV54 @ ( k3_group_1 @ SV54 @ SY316 ) @ SY315 ) ) )
| ~ ( ( ( k1_group_1 @ SV54 @ SY315 @ ( k3_group_1 @ SV54 @ SY316 ) )
!= ( k1_group_1 @ SV54 @ ( k3_group_1 @ SV54 @ SY316 ) @ SY315 ) )
| ( ( k1_group_1 @ SV54 @ SY315 @ SY316 )
= ( k1_group_1 @ SV54 @ SY316 @ SY315 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6359]) ).
thf(6436,plain,
! [SV55: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV55 )
| ~ ( v3_group_1 @ SV55 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV55 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV55 ) )
= $true )
| ( ( ! [SY317: $i] :
( ~ ( m1_subset_1 @ SY317 @ ( u1_struct_0 @ SV55 ) )
| ! [SY318: $i] :
( ~ ( m1_group_2 @ SY318 @ SV55 )
| ! [SY319: $i] :
( ~ ( m1_subset_1 @ SY319 @ ( u1_struct_0 @ SY318 ) )
| ( SY319 != SY317 )
| ( ( k3_group_1 @ SY318 @ SY319 )
= ( k3_group_1 @ SV55 @ SY317 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6360]) ).
thf(6437,plain,
! [SV56: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV56 )
| ~ ( v3_group_1 @ SV56 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV56 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV56 ) )
= $true )
| ( ( ! [SY320: $i] :
( ~ ( m1_subset_1 @ SY320 @ ( u1_struct_0 @ SV56 ) )
| ! [SY321: $i] :
( ~ ( m1_subset_1 @ SY321 @ ( u1_struct_0 @ SV56 ) )
| ~ ~ ( ( ( k1_group_1 @ SV56 @ SY320 @ SY321 )
!= ( k2_group_1 @ SV56 ) )
| ( ( k1_group_1 @ SV56 @ SY321 @ SY320 )
!= ( k2_group_1 @ SV56 ) ) )
| ( SY321
= ( k3_group_1 @ SV56 @ SY320 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6361]) ).
thf(6438,plain,
! [SV57: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV57 )
| ~ ( v3_group_1 @ SV57 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV57 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV57 ) )
= $true )
| ( ( ! [SY322: $i] :
( ~ ( m1_subset_1 @ SY322 @ ( u1_struct_0 @ SV57 ) )
| ( ( k2_group_3 @ SV57 @ SY322 @ SY322 )
= SY322 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6362]) ).
thf(6439,plain,
! [SV59: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV59 )
| ~ ( v3_group_1 @ SV59 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV59 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV59 ) )
= $true )
| ( ( ! [SY324: $i] :
( ~ ( m1_subset_1 @ SY324 @ ( u1_struct_0 @ SV59 ) )
| ! [SY325: $i] :
( ~ ( m1_subset_1 @ SY325 @ ( u1_struct_0 @ SV59 ) )
| ~ ! [SY326: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY326 @ ( u1_struct_0 @ SV59 ) )
| ( ( k1_group_1 @ SV59 @ SY324 @ SY326 )
!= SY325 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6363]) ).
thf(6440,plain,
! [SV60: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV60 )
| ~ ( v3_group_1 @ SV60 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV60 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV60 ) )
= $true )
| ( ( ! [SY327: $i] :
( ~ ( m1_subset_1 @ SY327 @ ( u1_struct_0 @ SV60 ) )
| ! [SY328: $i] :
( ~ ( m1_subset_1 @ SY328 @ ( u1_struct_0 @ SV60 ) )
| ~ ( ~ ( ( SY328
!= ( k3_group_1 @ SV60 @ SY327 ) )
| ~ ( ( ( k1_group_1 @ SV60 @ SY327 @ SY328 )
!= ( k2_group_1 @ SV60 ) )
| ( ( k1_group_1 @ SV60 @ SY328 @ SY327 )
!= ( k2_group_1 @ SV60 ) ) ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV60 @ SY327 @ SY328 )
!= ( k2_group_1 @ SV60 ) )
| ( ( k1_group_1 @ SV60 @ SY328 @ SY327 )
!= ( k2_group_1 @ SV60 ) ) )
| ( SY328
= ( k3_group_1 @ SV60 @ SY327 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6364]) ).
thf(6441,plain,
! [SV87: $i,SV61: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV61 )
| ~ ( v1_group_1 @ SV61 ) )
| ~ ( v3_group_1 @ SV61 ) )
| ~ ( v4_group_1 @ SV61 ) )
| ~ ( l1_group_1 @ SV61 ) )
| ~ ~ ( v3_struct_0 @ SV87 ) )
| ~ ( v1_group_1 @ SV87 ) )
| ~ ( v3_group_1 @ SV87 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( r2_group_6 @ SV61 @ SV87 )
| ( r2_group_6 @ SV87 @ SV61 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6365]) ).
thf(6442,plain,
! [SV62: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV62 )
| ~ ( v1_group_1 @ SV62 ) )
| ~ ( v3_group_1 @ SV62 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV62 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV62 ) )
= $true )
| ( ( ! [SY330: $i] :
( ~ ( m1_subset_1 @ SY330 @ ( u1_struct_0 @ SV62 ) )
| ( ( k8_funct_2 @ ( u1_struct_0 @ SV62 ) @ ( u1_struct_0 @ SV62 ) @ ( k6_autgroup @ SV62 @ ( k2_group_1 @ SV62 ) ) @ SY330 )
= SY330 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6366]) ).
thf(6443,plain,
! [SV97: $i,SV88: $i,SV63: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV63 )
| ~ ( l1_group_1 @ SV63 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV88 @ ( u1_struct_0 @ SV63 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV97 @ ( u1_struct_0 @ SV63 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k1_group_1 @ SV63 @ SV88 @ SV97 ) @ ( u1_struct_0 @ SV63 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6367]) ).
thf(6444,plain,
! [SV64: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV64 )
| ~ ( v3_group_1 @ SV64 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV64 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV64 ) )
= $true )
| ( ( ! [SY333: $i] :
( ~ ( m1_subset_1 @ SY333 @ ( u1_struct_0 @ SV64 ) )
| ( ( k2_group_5 @ SV64 @ SY333 @ SY333 )
= ( k2_group_1 @ SV64 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6368]) ).
thf(6445,plain,
! [SV66: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV66 )
| ~ ( v3_group_1 @ SV66 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV66 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV66 ) )
= $true )
| ( ( ! [SY335: $i] :
( ~ ( m1_subset_1 @ SY335 @ ( u1_struct_0 @ SV66 ) )
| ! [SY336: $i] :
( ~ ( m1_subset_1 @ SY336 @ ( u1_struct_0 @ SV66 ) )
| ~ ( r1_group_3 @ SV66 @ SY335 @ SY336 )
| ( r1_group_3 @ SV66 @ SY336 @ SY335 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6369]) ).
thf(6446,plain,
! [SV67: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV67 )
| ~ ( v3_group_1 @ SV67 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV67 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV67 ) )
= $true )
| ( ( ! [SY337: $i] :
( ~ ( m1_subset_1 @ SY337 @ ( u1_struct_0 @ SV67 ) )
| ( ( k3_group_1 @ SV67 @ ( k3_group_1 @ SV67 @ SY337 ) )
= SY337 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6370]) ).
thf(6447,plain,
! [SV68: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV68 )
| ~ ( v3_group_1 @ SV68 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV68 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV68 ) )
= $true )
| ( ( ! [SY338: $i] :
( ~ ( m1_subset_1 @ SY338 @ ( u1_struct_0 @ SV68 ) )
| ( ( k2_group_3 @ SV68 @ SY338 @ ( k2_group_1 @ SV68 ) )
= SY338 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6371]) ).
thf(6448,plain,
! [SV101: $i,SV90: $i,SV100: $i,SV69: $i] :
( ( ( SV69 != SV100 )
= $false )
| ( ( ( g2_struct_0 @ SV69 @ SV90 )
= ( g2_struct_0 @ SV100 @ SV101 ) )
= $false )
| ( ( m1_subset_1 @ SV90 @ SV69 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6372]) ).
thf(6449,plain,
! [SV100: $i,SV69: $i,SV101: $i,SV90: $i] :
( ( ( SV90 != SV101 )
= $false )
| ( ( ( g2_struct_0 @ SV69 @ SV90 )
= ( g2_struct_0 @ SV100 @ SV101 ) )
= $false )
| ( ( m1_subset_1 @ SV90 @ SV69 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6372]) ).
thf(6450,plain,
! [SV70: $i] :
( ( ( ! [SY342: $i] :
( ~ ( m1_subset_1 @ SY342 @ ( u1_struct_0 @ SV70 ) )
| ! [SY343: $i] :
( ~ ( m1_subset_1 @ SY343 @ ( u1_struct_0 @ SV70 ) )
| ! [SY344: $i] :
( ~ ( m1_subset_1 @ SY344 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ SY342 @ SY343 ) @ SY344 )
= ( k1_group_1 @ SV70 @ SY342 @ ( k1_group_1 @ SV70 @ SY343 @ SY344 ) ) ) ) ) ) )
= $false )
| ( ( ! [SY345: $i] :
( ~ ( m1_subset_1 @ SY345 @ ( u1_struct_0 @ SV70 ) )
| ~ ! [SY346: $i] :
( ~ ( m1_subset_1 @ SY346 @ ( u1_struct_0 @ SV70 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV70 @ SY346 @ SY345 )
!= SY346 )
| ( ( k1_group_1 @ SV70 @ SY345 @ SY346 )
!= SY346 ) )
| ~ ~ ! [SY347: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY347 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ SY346 @ SY347 )
!= SY345 ) )
| ( ( k1_group_1 @ SV70 @ SY347 @ SY346 )
!= SY345 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6373]) ).
thf(6451,plain,
! [SV71: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV71 )
| ~ ( v3_group_1 @ SV71 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV71 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV71 ) )
= $true )
| ( ( ! [SY348: $i] :
( ~ ( m1_subset_1 @ SY348 @ ( u1_struct_0 @ SV71 ) )
| ! [SY349: $i] :
( ~ ( m1_subset_1 @ SY349 @ ( u1_struct_0 @ SV71 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SY348 @ SY349 ) @ ( k3_group_1 @ SV71 @ SY349 ) )
!= SY348 )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SY348 @ ( k3_group_1 @ SV71 @ SY349 ) ) @ SY349 )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY349 ) @ SY349 ) @ SY348 )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SY349 @ ( k3_group_1 @ SV71 @ SY349 ) ) @ SY348 )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ SY348 @ ( k1_group_1 @ SV71 @ SY349 @ ( k3_group_1 @ SV71 @ SY349 ) ) )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ SY348 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY349 ) @ SY349 ) )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY349 ) @ ( k1_group_1 @ SV71 @ SY349 @ SY348 ) )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ SY349 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY349 ) @ SY348 ) )
!= SY348 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6374]) ).
thf(6452,plain,
! [SV91: $i,SV72: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV72 )
| ~ ( v1_group_1 @ SV72 ) )
| ~ ( v3_group_1 @ SV72 ) )
| ~ ( v4_group_1 @ SV72 ) )
| ~ ( l1_group_1 @ SV72 ) )
| ~ ~ ( v3_struct_0 @ SV91 ) )
| ~ ( v1_group_1 @ SV91 ) )
| ~ ( v3_group_1 @ SV91 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV91 ) )
= $true )
| ( ( r2_group_6 @ SV72 @ SV72 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6375]) ).
thf(6453,plain,
! [SV73: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV73 )
| ~ ( v3_group_1 @ SV73 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV73 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV73 ) )
= $true )
| ( ( ! [SY351: $i] :
( ~ ( m1_subset_1 @ SY351 @ ( u1_struct_0 @ SV73 ) )
| ~ ( ( ( k2_group_3 @ SV73 @ SY351 @ ( k3_group_1 @ SV73 @ SY351 ) )
!= SY351 )
| ( ( k2_group_3 @ SV73 @ ( k3_group_1 @ SV73 @ SY351 ) @ SY351 )
!= ( k3_group_1 @ SV73 @ SY351 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6376]) ).
thf(6454,plain,
! [SV74: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV74 )
| ~ ( v3_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV74 ) )
= $true )
| ( ( ! [SY352: $i] :
( ~ ( m1_subset_1 @ SY352 @ ( u1_struct_0 @ SV74 ) )
| ! [SY353: $i] :
( ~ ( m1_subset_1 @ SY353 @ ( u1_struct_0 @ SV74 ) )
| ! [SY354: $i] :
( ~ ( m1_subset_1 @ SY354 @ ( u1_struct_0 @ SV74 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV74 @ SY352 @ SY353 )
!= SY354 )
| ( SY353
= ( k1_group_1 @ SV74 @ ( k3_group_1 @ SV74 @ SY352 ) @ SY354 ) ) )
| ~ ( ( SY353
!= ( k1_group_1 @ SV74 @ ( k3_group_1 @ SV74 @ SY352 ) @ SY354 ) )
| ( ( k1_group_1 @ SV74 @ SY352 @ SY353 )
= SY354 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6377]) ).
thf(6455,plain,
! [SV75: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV75 )
| ~ ( v3_group_1 @ SV75 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV75 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV75 ) )
= $true )
| ( ( ! [SY355: $i] :
( ~ ( m1_subset_1 @ SY355 @ ( u1_struct_0 @ SV75 ) )
| ( ( k3_group_1 @ SV75 @ SY355 )
!= ( k2_group_1 @ SV75 ) )
| ( SY355
= ( k2_group_1 @ SV75 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6378]) ).
thf(6456,plain,
( ( v3_struct_0 @ sK10_SX0 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6380]) ).
thf(6457,plain,
! [SV76: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV76 )
| ~ ( v3_group_1 @ SV76 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV76 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV76 ) )
= $true )
| ( ( ~ ( v5_group_1 @ ( k2_group_1 @ SV76 ) @ SV76 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6381]) ).
thf(6458,plain,
! [SV77: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV77 )
| ~ ( v3_group_1 @ SV77 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV77 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV77 ) )
= $true )
| ( ( ! [SY356: $i] :
( ~ ( m1_subset_1 @ SY356 @ ( u1_struct_0 @ SV77 ) )
| ! [SY357: $i] :
( ~ ( m1_subset_1 @ SY357 @ ( u1_struct_0 @ SV77 ) )
| ~ ! [SY358: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY358 @ ( u1_struct_0 @ SV77 ) )
| ( ( k1_group_1 @ SV77 @ SY358 @ SY356 )
!= SY357 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6382]) ).
thf(6459,plain,
! [SV78: $i] :
( ( ( v3_struct_0 @ SV78 )
= $true )
| ( ( ~ ( v3_group_1 @ SV78 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV78 ) )
= $true )
| ( ( ~ ! [SY359: $i] :
~ ( m1_group_2 @ SY359 @ SV78 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6383]) ).
thf(6460,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV2 )
| ~ ( v1_group_1 @ SV2 ) ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV2 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV2 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV2 ) )
= $true )
| ( ( ! [SY222: $i] :
( ~ ( m1_subset_1 @ SY222 @ ( u1_struct_0 @ SV2 ) )
| ! [SY223: $i] :
( ~ ( m1_subset_1 @ SY223 @ ( u1_struct_0 @ SV2 ) )
| ( ( k6_autgroup @ SV2 @ ( k1_group_1 @ SV2 @ SY222 @ SY223 ) )
= ( k7_funct_2 @ ( u1_struct_0 @ SV2 ) @ ( u1_struct_0 @ SV2 ) @ ( u1_struct_0 @ SV2 ) @ ( k6_autgroup @ SV2 @ SY222 ) @ ( k6_autgroup @ SV2 @ SY223 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6384]) ).
thf(6461,plain,
! [SV3: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV3 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV3 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV3 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV3 ) )
= $true )
| ( ( ! [SY224: $i] :
( ~ ( m1_subset_1 @ SY224 @ ( u1_struct_0 @ SV3 ) )
| ! [SY225: $i] :
( ~ ( m1_subset_1 @ SY225 @ ( u1_struct_0 @ SV3 ) )
| ~ ( ( ( k1_group_1 @ SV3 @ SY224 @ SY225 )
= SY224 )
| ( ( k1_group_1 @ SV3 @ SY225 @ SY224 )
= SY224 ) )
| ( SY225
= ( k2_group_1 @ SV3 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6385]) ).
thf(6462,plain,
! [SV4: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV4 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV4 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV4 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV4 ) )
= $true )
| ( ( ! [SY226: $i] :
( ~ ( m1_group_2 @ SY226 @ SV4 )
| ! [SY227: $i] :
( ~ ( m1_group_2 @ SY227 @ SV4 )
| ( ( k2_group_1 @ SY226 )
= ( k2_group_1 @ SY227 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6386]) ).
thf(6463,plain,
! [SV5: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV5 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV5 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV5 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV5 ) )
= $true )
| ( ( ! [SY228: $i] :
( ~ ( m1_subset_1 @ SY228 @ ( u1_struct_0 @ SV5 ) )
| ! [SY229: $i] :
( ~ ( m1_subset_1 @ SY229 @ ( u1_struct_0 @ SV5 ) )
| ~ ( ( ( k2_group_3 @ SV5 @ ( k2_group_3 @ SV5 @ SY228 @ SY229 ) @ ( k3_group_1 @ SV5 @ SY229 ) )
!= SY228 )
| ( ( k2_group_3 @ SV5 @ ( k2_group_3 @ SV5 @ SY228 @ ( k3_group_1 @ SV5 @ SY229 ) ) @ SY229 )
!= SY228 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6387]) ).
thf(6464,plain,
! [SV6: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV6 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV6 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV6 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV6 ) )
= $true )
| ( ( ! [SY230: $i] :
( ~ ( m1_subset_1 @ SY230 @ ( u1_struct_0 @ SV6 ) )
| ( ( k2_group_3 @ SV6 @ ( k2_group_1 @ SV6 ) @ SY230 )
= ( k2_group_1 @ SV6 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6388]) ).
thf(6465,plain,
! [SV7: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV7 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV7 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV7 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV7 ) )
= $true )
| ( ( ! [SY231: $i] :
( ~ ( m1_subset_1 @ SY231 @ ( u1_struct_0 @ SV7 ) )
| ~ ( ( r2_group_3 @ SV7 @ SY231 @ ( k2_group_1 @ SV7 ) )
| ( r2_group_3 @ SV7 @ ( k2_group_1 @ SV7 ) @ SY231 ) )
| ( SY231
= ( k2_group_1 @ SV7 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6389]) ).
thf(6466,plain,
! [SV8: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV8 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV8 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV8 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV8 ) )
= $true )
| ( ( ! [SY232: $i] :
( ~ ( m1_subset_1 @ SY232 @ ( u1_struct_0 @ SV8 ) )
| ! [SY233: $i] :
( ~ ( m1_subset_1 @ SY233 @ ( u1_struct_0 @ SV8 ) )
| ! [SY234: $i] :
( ~ ( m1_subset_1 @ SY234 @ ( u1_struct_0 @ SV8 ) )
| ~ ( ( ( k1_group_1 @ SV8 @ SY232 @ SY233 )
= ( k1_group_1 @ SV8 @ SY232 @ SY234 ) )
| ( ( k1_group_1 @ SV8 @ SY233 @ SY232 )
= ( k1_group_1 @ SV8 @ SY234 @ SY232 ) ) )
| ( SY233 = SY234 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6390]) ).
thf(6467,plain,
! [SV10: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV10 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV10 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV10 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV10 ) )
= $true )
| ( ( ! [SY235: $i] :
( ~ ( m1_subset_1 @ SY235 @ ( u1_struct_0 @ SV10 ) )
| ! [SY236: $i] :
( ~ ( m1_subset_1 @ SY236 @ ( u1_struct_0 @ SV10 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV10 @ SY235 @ SY236 )
!= ( k1_group_1 @ SV10 @ SY236 @ SY235 ) )
| ( ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY235 ) @ ( k3_group_1 @ SV10 @ SY236 ) )
= ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY236 ) @ ( k3_group_1 @ SV10 @ SY235 ) ) ) )
| ~ ( ( ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY235 ) @ ( k3_group_1 @ SV10 @ SY236 ) )
!= ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY236 ) @ ( k3_group_1 @ SV10 @ SY235 ) ) )
| ( ( k1_group_1 @ SV10 @ SY235 @ SY236 )
= ( k1_group_1 @ SV10 @ SY236 @ SY235 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6391]) ).
thf(6468,plain,
! [SV11: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV11 )
| ~ ( v1_group_1 @ SV11 ) ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV11 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV11 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV11 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k3_autgroup @ SV11 ) )
| ~ ( v1_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( v3_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( v4_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( l1_group_1 @ ( k3_autgroup @ SV11 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6392]) ).
thf(6469,plain,
! [SV12: $i] :
( ( ( v3_group_1 @ SV12 )
= $false )
| ( ( v3_struct_0 @ SV12 )
= $true )
| ( ( ~ ( l1_group_1 @ SV12 ) )
= $true )
| ( ( ! [SY237: $i] :
( ~ ( m1_group_2 @ SY237 @ SV12 )
| ! [SY238: $i] :
( ~ ( m1_subset_1 @ SY238 @ ( u1_struct_0 @ SY237 ) )
| ( m1_subset_1 @ SY238 @ ( u1_struct_0 @ SV12 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6393]) ).
thf(6470,plain,
! [SV13: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV13 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV13 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV13 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV13 ) )
= $true )
| ( ( ! [SY239: $i] :
( ~ ( m1_subset_1 @ SY239 @ ( u1_struct_0 @ SV13 ) )
| ! [SY240: $i] :
( ~ ( m1_subset_1 @ SY240 @ ( u1_struct_0 @ SV13 ) )
| ~ ( ~ ~ ( ( ( k3_group_5 @ SV13 @ SY239 @ SY240 @ ( k2_group_1 @ SV13 ) )
!= ( k2_group_1 @ SV13 ) )
| ( ( k3_group_5 @ SV13 @ SY239 @ ( k2_group_1 @ SV13 ) @ SY240 )
!= ( k2_group_1 @ SV13 ) ) )
| ( ( k3_group_5 @ SV13 @ ( k2_group_1 @ SV13 ) @ SY239 @ SY240 )
!= ( k2_group_1 @ SV13 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6394]) ).
thf(6471,plain,
! [SV15: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV15 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV15 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV15 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV15 ) )
= $true )
| ( ( ! [SY241: $i] :
( ~ ( m1_subset_1 @ SY241 @ ( u1_struct_0 @ SV15 ) )
| ! [SY242: $i] :
( ~ ( m1_subset_1 @ SY242 @ ( u1_struct_0 @ SV15 ) )
| ( ( k2_group_3 @ SV15 @ ( k3_group_1 @ SV15 @ SY241 ) @ SY242 )
= ( k3_group_1 @ SV15 @ ( k2_group_3 @ SV15 @ SY241 @ SY242 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6395]) ).
thf(6472,plain,
! [SV16: $i] :
( ( ( ~ ( v3_group_1 @ SV16 )
| ~ ! [SY243: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY243 @ ( u1_struct_0 @ SV16 ) )
| ~ ! [SY244: $i] :
( ~ ( m1_subset_1 @ SY244 @ ( u1_struct_0 @ SV16 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV16 @ SY244 @ SY243 )
!= SY244 )
| ( ( k1_group_1 @ SV16 @ SY243 @ SY244 )
!= SY244 ) )
| ~ ~ ! [SY245: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY245 @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ SY244 @ SY245 )
!= SY243 ) )
| ( ( k1_group_1 @ SV16 @ SY245 @ SY244 )
!= SY243 ) ) ) ) ) )
= $true )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6396]) ).
thf(6473,plain,
! [SV16: $i] :
( ( ( ~ ~ ! [SY246: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY246 @ ( u1_struct_0 @ SV16 ) )
| ~ ! [SY247: $i] :
( ~ ( m1_subset_1 @ SY247 @ ( u1_struct_0 @ SV16 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV16 @ SY247 @ SY246 )
!= SY247 )
| ( ( k1_group_1 @ SV16 @ SY246 @ SY247 )
!= SY247 ) )
| ~ ~ ! [SY248: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY248 @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ SY247 @ SY248 )
!= SY246 ) )
| ( ( k1_group_1 @ SV16 @ SY248 @ SY247 )
!= SY246 ) ) ) ) )
| ( v3_group_1 @ SV16 ) )
= $true )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6397]) ).
thf(6474,plain,
! [SV17: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV17 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV17 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV17 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV17 ) )
= $true )
| ( ( ! [SY249: $i] :
( ~ ( m1_subset_1 @ SY249 @ ( u1_struct_0 @ SV17 ) )
| ! [SY250: $i] :
( ~ ( m1_subset_1 @ SY250 @ ( u1_struct_0 @ SV17 ) )
| ( ( k2_group_3 @ SV17 @ SY249 @ SY250 )
!= ( k2_group_1 @ SV17 ) )
| ( SY249
= ( k2_group_1 @ SV17 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6398]) ).
thf(6475,plain,
! [SV18: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV18 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV18 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV18 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV18 ) )
= $true )
| ( ( ! [SY251: $i] :
( ~ ( m1_subset_1 @ SY251 @ ( u1_struct_0 @ SV18 ) )
| ( r1_group_3 @ SV18 @ SY251 @ SY251 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6399]) ).
thf(6476,plain,
! [SV92: $i,SV79: $i,SV19: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV19 )
| ~ ( v3_group_1 @ SV19 ) )
| ~ ( v4_group_1 @ SV19 ) )
| ~ ( l1_group_1 @ SV19 ) ) )
= $false )
| ( ( ~ ( m1_subset_1 @ SV79 @ ( u1_struct_0 @ SV19 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV92 @ ( u1_struct_0 @ SV19 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k2_group_3 @ SV19 @ SV79 @ SV92 ) @ ( u1_struct_0 @ SV19 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6400]) ).
thf(6477,plain,
! [SV21: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV21 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV21 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV21 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV21 ) )
= $true )
| ( ( ! [SY254: $i] :
( ~ ( m1_subset_1 @ SY254 @ ( u1_struct_0 @ SV21 ) )
| ! [SY255: $i] :
( ~ ( m1_subset_1 @ SY255 @ ( u1_struct_0 @ SV21 ) )
| ! [SY256: $i] :
( ~ ( m1_subset_1 @ SY256 @ ( u1_struct_0 @ SV21 ) )
| ~ ~ ( ~ ( r2_group_3 @ SV21 @ SY254 @ SY255 )
| ~ ( r2_group_3 @ SV21 @ SY255 @ SY256 ) )
| ( r2_group_3 @ SV21 @ SY254 @ SY256 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6401]) ).
thf(6478,plain,
! [SV22: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV22 )
| ~ ( v1_group_1 @ SV22 ) ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV22 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV22 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV22 ) )
= $true )
| ( ( ! [SY257: $i] :
( ~ ~ ( ~ ( v1_group_1 @ SY257 )
| ~ ( m1_group_2 @ SY257 @ SV22 ) )
| ( ( u1_struct_0 @ SY257 )
!= ( u1_struct_0 @ SV22 ) )
| ( SY257 = SV22 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6402]) ).
thf(6479,plain,
! [SV23: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV23 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV23 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV23 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV23 ) )
= $true )
| ( ( ! [SY258: $i] :
( ~ ( m1_subset_1 @ SY258 @ ( u1_struct_0 @ SV23 ) )
| ! [SY259: $i] :
( ~ ( m1_subset_1 @ SY259 @ ( u1_struct_0 @ SV23 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV23 @ SY258 @ SY259 )
!= ( k1_group_1 @ SV23 @ SY259 @ SY258 ) )
| ( ( k3_group_1 @ SV23 @ ( k1_group_1 @ SV23 @ SY258 @ SY259 ) )
= ( k1_group_1 @ SV23 @ ( k3_group_1 @ SV23 @ SY258 ) @ ( k3_group_1 @ SV23 @ SY259 ) ) ) )
| ~ ( ( ( k3_group_1 @ SV23 @ ( k1_group_1 @ SV23 @ SY258 @ SY259 ) )
!= ( k1_group_1 @ SV23 @ ( k3_group_1 @ SV23 @ SY258 ) @ ( k3_group_1 @ SV23 @ SY259 ) ) )
| ( ( k1_group_1 @ SV23 @ SY258 @ SY259 )
= ( k1_group_1 @ SV23 @ SY259 @ SY258 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6403]) ).
thf(6480,plain,
! [SV24: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV24 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV24 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV24 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV24 ) )
= $true )
| ( ( ! [SY260: $i] :
( ~ ( m1_subset_1 @ SY260 @ ( u1_struct_0 @ SV24 ) )
| ~ ( ( ( k2_group_5 @ SV24 @ ( k2_group_1 @ SV24 ) @ SY260 )
!= ( k2_group_1 @ SV24 ) )
| ( ( k2_group_5 @ SV24 @ SY260 @ ( k2_group_1 @ SV24 ) )
!= ( k2_group_1 @ SV24 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6404]) ).
thf(6481,plain,
! [SV25: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV25 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV25 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV25 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV25 ) )
= $true )
| ( ( m1_group_2 @ SV25 @ SV25 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6405]) ).
thf(6482,plain,
! [SV26: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV26 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV26 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV26 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV26 ) )
= $true )
| ( ( ! [SY261: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY261 )
| ~ ( v3_group_1 @ SY261 ) )
| ~ ( v4_group_1 @ SY261 ) )
| ~ ( l1_group_1 @ SY261 ) )
| ! [SY262: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY262 )
| ~ ( v3_group_1 @ SY262 ) )
| ~ ( v4_group_1 @ SY262 ) )
| ~ ( l1_group_1 @ SY262 ) )
| ~ ~ ( ~ ( m1_group_2 @ SV26 @ SY261 )
| ~ ( m1_group_2 @ SY261 @ SY262 ) )
| ( m1_group_2 @ SV26 @ SY262 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6406]) ).
thf(6483,plain,
! [SV28: $i] :
( ( ( ~ ! [SY265: $i] :
( ~ ( m1_subset_1 @ SY265 @ ( u1_struct_0 @ SV28 ) )
| ! [SY266: $i] :
( ~ ( m1_subset_1 @ SY266 @ ( u1_struct_0 @ SV28 ) )
| ! [SY267: $i] :
( ~ ( m1_subset_1 @ SY267 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ ( k1_group_1 @ SV28 @ SY265 @ SY266 ) @ SY267 )
= ( k1_group_1 @ SV28 @ SY265 @ ( k1_group_1 @ SV28 @ SY266 @ SY267 ) ) ) ) ) )
| ~ ! [SY268: $i] :
( ~ ( m1_subset_1 @ SY268 @ ( u1_struct_0 @ SV28 ) )
| ! [SY269: $i] :
( ~ ( m1_subset_1 @ SY269 @ ( u1_struct_0 @ SV28 ) )
| ~ ( ~ ~ ! [SY270: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY270 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY268 @ SY270 )
!= SY269 ) )
| ~ ~ ! [SY271: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY271 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY271 @ SY268 )
!= SY269 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6407]) ).
thf(6484,plain,
! [SV93: $i,SV81: $i,SV29: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV29 )
| ~ ( v3_group_1 @ SV29 ) )
| ~ ( v4_group_1 @ SV29 ) )
| ~ ( l1_group_1 @ SV29 ) ) )
= $false )
| ( ( ~ ( m1_subset_1 @ SV81 @ ( u1_struct_0 @ SV29 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV93 @ ( u1_struct_0 @ SV29 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k2_group_5 @ SV29 @ SV81 @ SV93 ) @ ( u1_struct_0 @ SV29 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6408]) ).
thf(6485,plain,
! [SV94: $i,SV82: $i,SV30: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV30 )
| ~ ( v3_group_1 @ SV30 ) )
| ~ ( v4_group_1 @ SV30 ) )
| ~ ( l1_group_1 @ SV30 ) ) )
= $false )
| ( ( ~ ( m1_subset_1 @ SV82 @ ( u1_struct_0 @ SV30 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV94 @ ( u1_struct_0 @ SV30 ) ) )
= $true )
| ( ( r2_group_3 @ SV30 @ SV82 @ SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6409]) ).
thf(6486,plain,
! [SV31: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV31 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV31 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV31 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV31 ) )
= $true )
| ( ( ! [SY276: $i] :
( ~ ( m1_subset_1 @ SY276 @ ( u1_struct_0 @ SV31 ) )
| ! [SY277: $i] :
( ~ ( m1_subset_1 @ SY277 @ ( u1_struct_0 @ SV31 ) )
| ( ( k3_group_1 @ SV31 @ SY276 )
!= ( k3_group_1 @ SV31 @ SY277 ) )
| ( SY276 = SY277 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6410]) ).
thf(6487,plain,
! [SV32: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV32 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV32 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV32 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV32 ) )
= $true )
| ( ( ! [SY278: $i] :
( ~ ( m1_subset_1 @ SY278 @ ( u1_struct_0 @ SV32 ) )
| ~ ( ( ( k2_group_5 @ SV32 @ SY278 @ ( k3_group_1 @ SV32 @ SY278 ) )
!= ( k2_group_1 @ SV32 ) )
| ( ( k2_group_5 @ SV32 @ ( k3_group_1 @ SV32 @ SY278 ) @ SY278 )
!= ( k2_group_1 @ SV32 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6411]) ).
thf(6488,plain,
! [SV33: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV33 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV33 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV33 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV33 ) )
= $true )
| ( ( ! [SY279: $i] :
( ~ ( m1_subset_1 @ SY279 @ ( u1_struct_0 @ SV33 ) )
| ! [SY280: $i] :
( ~ ( m1_subset_1 @ SY280 @ ( u1_struct_0 @ SV33 ) )
| ! [SY281: $i] :
( ~ ( m1_subset_1 @ SY281 @ ( u1_struct_0 @ SV33 ) )
| ( ( k2_group_3 @ SV33 @ SY279 @ SY280 )
!= ( k2_group_3 @ SV33 @ SY281 @ SY280 ) )
| ( SY279 = SY281 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6412]) ).
thf(6489,plain,
! [SV34: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV34 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV34 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV34 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV34 ) )
= $true )
| ( ( ! [SY282: $i] :
( ~ ( m1_subset_1 @ SY282 @ ( u1_struct_0 @ SV34 ) )
| ! [SY283: $i] :
( ~ ( m1_subset_1 @ SY283 @ ( u1_struct_0 @ SV34 ) )
| ~ ( ( ( k1_group_1 @ SV34 @ SY282 @ SY283 )
= ( k2_group_1 @ SV34 ) )
| ( ( k1_group_1 @ SV34 @ SY283 @ SY282 )
= ( k2_group_1 @ SV34 ) ) )
| ~ ( ( SY282
!= ( k3_group_1 @ SV34 @ SY283 ) )
| ( SY283
!= ( k3_group_1 @ SV34 @ SY282 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6413]) ).
thf(6490,plain,
! [SV83: $i,SV35: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV35 )
| ~ ( v3_group_1 @ SV35 ) )
| ~ ( v4_group_1 @ SV35 ) )
| ~ ( l1_group_1 @ SV35 ) )
| ~ ~ ( v3_struct_0 @ SV83 ) )
| ~ ( v3_group_1 @ SV83 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV83 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV83 ) )
= $true )
| ( ( r1_group_6 @ SV35 @ SV35 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6414]) ).
thf(6491,plain,
! [SV36: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV36 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV36 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV36 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV36 ) )
= $true )
| ( ( ! [SY285: $i] :
( ~ ( m1_subset_1 @ SY285 @ ( u1_struct_0 @ SV36 ) )
| ! [SY286: $i] :
( ~ ( m1_subset_1 @ SY286 @ ( u1_struct_0 @ SV36 ) )
| ! [SY287: $i] :
( ~ ( m1_subset_1 @ SY287 @ ( u1_struct_0 @ SV36 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV36 @ SY285 @ SY286 )
!= SY287 )
| ( SY285
= ( k1_group_1 @ SV36 @ SY287 @ ( k3_group_1 @ SV36 @ SY286 ) ) ) )
| ~ ( ( SY285
!= ( k1_group_1 @ SV36 @ SY287 @ ( k3_group_1 @ SV36 @ SY286 ) ) )
| ( ( k1_group_1 @ SV36 @ SY285 @ SY286 )
= SY287 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6415]) ).
thf(6492,plain,
! [SV37: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV37 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV37 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV37 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV37 ) )
= $true )
| ( ( ! [SY288: $i] :
( ~ ( m1_group_2 @ SY288 @ SV37 )
| ( v4_group_1 @ SY288 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6416]) ).
thf(6493,plain,
( ( ~ ( l1_group_1 @ sK5_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6417]) ).
thf(6494,plain,
( ( ~ ~ ( v3_struct_0 @ sK5_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6417]) ).
thf(6495,plain,
! [SV38: $i] :
( ( ( v3_group_1 @ SV38 )
= $false )
| ( ( v3_struct_0 @ SV38 )
= $true )
| ( ( ~ ( l1_group_1 @ SV38 ) )
= $true )
| ( ( ! [SY289: $i] :
( ~ ( m1_group_2 @ SY289 @ SV38 )
| ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY289 )
| ~ ( v3_group_1 @ SY289 ) )
| ~ ( l1_group_1 @ SY289 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6418]) ).
thf(6496,plain,
! [SV40: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV40 )
| ~ ( v2_group_1 @ SV40 ) )
= $false )
| ( ( v3_struct_0 @ SV40 )
= $true )
| ( ( v3_group_1 @ SV40 )
= $false )
| ( ( l1_group_1 @ SV40 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6419]) ).
thf(6497,plain,
! [SV41: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV41 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV41 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV41 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV41 ) )
= $true )
| ( ( ! [SY291: $i] :
( ~ ( m1_subset_1 @ SY291 @ ( u1_struct_0 @ SV41 ) )
| ! [SY292: $i] :
( ~ ( m1_subset_1 @ SY292 @ ( u1_struct_0 @ SV41 ) )
| ( ( k3_group_1 @ SV41 @ ( k2_group_5 @ SV41 @ SY291 @ SY292 ) )
= ( k2_group_5 @ SV41 @ SY292 @ SY291 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6420]) ).
thf(6498,plain,
! [SV42: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV42 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV42 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV42 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV42 ) )
= $true )
| ( ( ! [SY293: $i] :
( ~ ( m1_subset_1 @ SY293 @ ( u1_struct_0 @ SV42 ) )
| ! [SY294: $i] :
( ~ ( m1_subset_1 @ SY294 @ ( u1_struct_0 @ SV42 ) )
| ( ( k3_group_5 @ SV42 @ SY293 @ SY293 @ SY294 )
= ( k2_group_1 @ SV42 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6421]) ).
thf(6499,plain,
! [SV43: $i] :
( ( ( v3_group_1 @ SV43 )
= $false )
| ( ( v3_struct_0 @ SV43 )
= $true )
| ( ( ~ ( l1_group_1 @ SV43 ) )
= $true )
| ( ( ! [SY295: $i] :
( ~ ( m1_subset_1 @ SY295 @ ( u1_struct_0 @ SV43 ) )
| ~ ! [SY296: $i] :
( ~ ( m1_subset_1 @ SY296 @ ( u1_struct_0 @ SV43 ) )
| ~ ( ( ( k1_group_1 @ SV43 @ SY296 @ SY295 )
!= SY296 )
| ( ( k1_group_1 @ SV43 @ SY295 @ SY296 )
!= SY296 ) ) )
| ( SY295
= ( k2_group_1 @ SV43 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6422]) ).
thf(6500,plain,
( ( ~ ~ ( ~ ~ ( ~ ( l1_group_1 @ sK6_SX0 )
| ~ ~ ( v3_struct_0 @ sK6_SX0 ) )
| ~ ( v1_group_1 @ sK6_SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6423]) ).
thf(6501,plain,
( ( ~ ( v2_group_1 @ sK6_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6423]) ).
thf(6502,plain,
! [SV44: $i] :
( ( ( ~ ( v4_group_1 @ SV44 )
| ! [SY297: $i] :
( ~ ( m1_subset_1 @ SY297 @ ( u1_struct_0 @ SV44 ) )
| ! [SY298: $i] :
( ~ ( m1_subset_1 @ SY298 @ ( u1_struct_0 @ SV44 ) )
| ! [SY299: $i] :
( ~ ( m1_subset_1 @ SY299 @ ( u1_struct_0 @ SV44 ) )
| ( ( k1_group_1 @ SV44 @ ( k1_group_1 @ SV44 @ SY297 @ SY298 ) @ SY299 )
= ( k1_group_1 @ SV44 @ SY297 @ ( k1_group_1 @ SV44 @ SY298 @ SY299 ) ) ) ) ) ) )
= $true )
| ( ( v3_struct_0 @ SV44 )
= $true )
| ( ( l1_group_1 @ SV44 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6424]) ).
thf(6503,plain,
! [SV44: $i] :
( ( ( ~ ! [SY300: $i] :
( ~ ( m1_subset_1 @ SY300 @ ( u1_struct_0 @ SV44 ) )
| ! [SY301: $i] :
( ~ ( m1_subset_1 @ SY301 @ ( u1_struct_0 @ SV44 ) )
| ! [SY302: $i] :
( ~ ( m1_subset_1 @ SY302 @ ( u1_struct_0 @ SV44 ) )
| ( ( k1_group_1 @ SV44 @ ( k1_group_1 @ SV44 @ SY300 @ SY301 ) @ SY302 )
= ( k1_group_1 @ SV44 @ SY300 @ ( k1_group_1 @ SV44 @ SY301 @ SY302 ) ) ) ) ) )
| ( v4_group_1 @ SV44 ) )
= $true )
| ( ( v3_struct_0 @ SV44 )
= $true )
| ( ( l1_group_1 @ SV44 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6425]) ).
thf(6504,plain,
! [SV45: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV45 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV45 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV45 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV45 ) )
= $true )
| ( ( ! [SY303: $i] :
( ~ ( m1_subset_1 @ SY303 @ ( u1_struct_0 @ SV45 ) )
| ! [SY304: $i] :
( ~ ( m1_subset_1 @ SY304 @ ( u1_struct_0 @ SV45 ) )
| ( ( k3_group_1 @ SV45 @ ( k1_group_1 @ SV45 @ SY303 @ SY304 ) )
= ( k1_group_1 @ SV45 @ ( k3_group_1 @ SV45 @ SY304 ) @ ( k3_group_1 @ SV45 @ SY303 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6426]) ).
thf(6505,plain,
! [SV46: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV46 )
| ~ ( v1_group_1 @ SV46 ) ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV46 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV46 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV46 ) )
= $true )
| ( ( ( k6_autgroup @ SV46 @ ( k2_group_1 @ SV46 ) )
= ( k6_partfun1 @ ( u1_struct_0 @ SV46 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6427]) ).
thf(6506,plain,
! [SV98: $i,SV95: $i,SV84: $i,SV47: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV47 )
| ~ ( v3_group_1 @ SV47 ) )
| ~ ( v4_group_1 @ SV47 ) )
| ~ ( l1_group_1 @ SV47 ) )
| ~ ( m1_subset_1 @ SV84 @ ( u1_struct_0 @ SV47 ) ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV95 @ ( u1_struct_0 @ SV47 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV98 @ ( u1_struct_0 @ SV47 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k3_group_5 @ SV47 @ SV84 @ SV95 @ SV98 ) @ ( u1_struct_0 @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6428]) ).
thf(6507,plain,
! [SV48: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV48 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV48 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV48 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV48 ) )
= $true )
| ( ( ! [SY308: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY308 )
| ~ ( v3_group_1 @ SY308 ) )
| ~ ( v4_group_1 @ SY308 ) )
| ~ ( l1_group_1 @ SY308 ) )
| ! [SY309: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY309 )
| ~ ( v3_group_1 @ SY309 ) )
| ~ ( v4_group_1 @ SY309 ) )
| ~ ( l1_group_1 @ SY309 ) )
| ~ ~ ( ~ ( r1_group_6 @ SV48 @ SY308 )
| ~ ( r1_group_6 @ SY308 @ SY309 ) )
| ( r1_group_6 @ SV48 @ SY309 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6429]) ).
thf(6508,plain,
! [SV85: $i,SV49: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV49 )
| ~ ( v3_group_1 @ SV49 ) )
| ~ ( v4_group_1 @ SV49 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV49 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV85 @ ( u1_struct_0 @ SV49 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k3_group_1 @ SV49 @ SV85 ) @ ( u1_struct_0 @ SV49 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6430]) ).
thf(6509,plain,
! [SV50: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV50 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV50 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV50 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV50 ) )
= $true )
| ( ( ( k3_group_1 @ SV50 @ ( k2_group_1 @ SV50 ) )
= ( k2_group_1 @ SV50 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6431]) ).
thf(6510,plain,
! [SV96: $i,SV86: $i,SV51: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV51 )
| ~ ( v3_group_1 @ SV51 ) )
| ~ ( v4_group_1 @ SV51 ) )
| ~ ( l1_group_1 @ SV51 ) ) )
= $false )
| ( ( ~ ( m1_subset_1 @ SV86 @ ( u1_struct_0 @ SV51 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV96 @ ( u1_struct_0 @ SV51 ) ) )
= $true )
| ( ( ~ ( r2_group_3 @ SV51 @ SV86 @ SV96 )
| ( r2_group_3 @ SV51 @ SV96 @ SV86 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6432]) ).
thf(6511,plain,
! [SV52: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV52 )
| ~ ( v1_group_1 @ SV52 ) ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV52 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV52 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV52 ) )
= $true )
| ( ( ! [SY313: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY313 )
| ~ ( v1_group_1 @ SY313 ) )
| ~ ( v3_group_1 @ SY313 ) )
| ~ ( v4_group_1 @ SY313 ) )
| ~ ( l1_group_1 @ SY313 ) )
| ~ ( r1_group_6 @ SV52 @ SY313 )
| ( r1_group_6 @ SY313 @ SV52 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6433]) ).
thf(6512,plain,
! [SV53: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV53 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV53 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV53 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV53 ) )
= $true )
| ( ( ! [SY314: $i] :
( ~ ( m1_group_2 @ SY314 @ SV53 )
| ( ( k2_group_1 @ SY314 )
= ( k2_group_1 @ SV53 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6434]) ).
thf(6513,plain,
! [SV54: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV54 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV54 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV54 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV54 ) )
= $true )
| ( ( ! [SY315: $i] :
( ~ ( m1_subset_1 @ SY315 @ ( u1_struct_0 @ SV54 ) )
| ! [SY316: $i] :
( ~ ( m1_subset_1 @ SY316 @ ( u1_struct_0 @ SV54 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV54 @ SY315 @ SY316 )
!= ( k1_group_1 @ SV54 @ SY316 @ SY315 ) )
| ( ( k1_group_1 @ SV54 @ SY315 @ ( k3_group_1 @ SV54 @ SY316 ) )
= ( k1_group_1 @ SV54 @ ( k3_group_1 @ SV54 @ SY316 ) @ SY315 ) ) )
| ~ ( ( ( k1_group_1 @ SV54 @ SY315 @ ( k3_group_1 @ SV54 @ SY316 ) )
!= ( k1_group_1 @ SV54 @ ( k3_group_1 @ SV54 @ SY316 ) @ SY315 ) )
| ( ( k1_group_1 @ SV54 @ SY315 @ SY316 )
= ( k1_group_1 @ SV54 @ SY316 @ SY315 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6435]) ).
thf(6514,plain,
! [SV55: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV55 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV55 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV55 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV55 ) )
= $true )
| ( ( ! [SY317: $i] :
( ~ ( m1_subset_1 @ SY317 @ ( u1_struct_0 @ SV55 ) )
| ! [SY318: $i] :
( ~ ( m1_group_2 @ SY318 @ SV55 )
| ! [SY319: $i] :
( ~ ( m1_subset_1 @ SY319 @ ( u1_struct_0 @ SY318 ) )
| ( SY319 != SY317 )
| ( ( k3_group_1 @ SY318 @ SY319 )
= ( k3_group_1 @ SV55 @ SY317 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6436]) ).
thf(6515,plain,
! [SV56: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV56 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV56 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV56 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV56 ) )
= $true )
| ( ( ! [SY320: $i] :
( ~ ( m1_subset_1 @ SY320 @ ( u1_struct_0 @ SV56 ) )
| ! [SY321: $i] :
( ~ ( m1_subset_1 @ SY321 @ ( u1_struct_0 @ SV56 ) )
| ~ ~ ( ( ( k1_group_1 @ SV56 @ SY320 @ SY321 )
!= ( k2_group_1 @ SV56 ) )
| ( ( k1_group_1 @ SV56 @ SY321 @ SY320 )
!= ( k2_group_1 @ SV56 ) ) )
| ( SY321
= ( k3_group_1 @ SV56 @ SY320 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6437]) ).
thf(6516,plain,
! [SV57: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV57 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV57 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV57 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV57 ) )
= $true )
| ( ( ! [SY322: $i] :
( ~ ( m1_subset_1 @ SY322 @ ( u1_struct_0 @ SV57 ) )
| ( ( k2_group_3 @ SV57 @ SY322 @ SY322 )
= SY322 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6438]) ).
thf(6517,plain,
! [SV59: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV59 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV59 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV59 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV59 ) )
= $true )
| ( ( ! [SY324: $i] :
( ~ ( m1_subset_1 @ SY324 @ ( u1_struct_0 @ SV59 ) )
| ! [SY325: $i] :
( ~ ( m1_subset_1 @ SY325 @ ( u1_struct_0 @ SV59 ) )
| ~ ! [SY326: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY326 @ ( u1_struct_0 @ SV59 ) )
| ( ( k1_group_1 @ SV59 @ SY324 @ SY326 )
!= SY325 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6439]) ).
thf(6518,plain,
! [SV60: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV60 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV60 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV60 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV60 ) )
= $true )
| ( ( ! [SY327: $i] :
( ~ ( m1_subset_1 @ SY327 @ ( u1_struct_0 @ SV60 ) )
| ! [SY328: $i] :
( ~ ( m1_subset_1 @ SY328 @ ( u1_struct_0 @ SV60 ) )
| ~ ( ~ ( ( SY328
!= ( k3_group_1 @ SV60 @ SY327 ) )
| ~ ( ( ( k1_group_1 @ SV60 @ SY327 @ SY328 )
!= ( k2_group_1 @ SV60 ) )
| ( ( k1_group_1 @ SV60 @ SY328 @ SY327 )
!= ( k2_group_1 @ SV60 ) ) ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV60 @ SY327 @ SY328 )
!= ( k2_group_1 @ SV60 ) )
| ( ( k1_group_1 @ SV60 @ SY328 @ SY327 )
!= ( k2_group_1 @ SV60 ) ) )
| ( SY328
= ( k3_group_1 @ SV60 @ SY327 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6440]) ).
thf(6519,plain,
! [SV87: $i,SV61: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV61 )
| ~ ( v1_group_1 @ SV61 ) )
| ~ ( v3_group_1 @ SV61 ) )
| ~ ( v4_group_1 @ SV61 ) )
| ~ ( l1_group_1 @ SV61 ) )
| ~ ~ ( v3_struct_0 @ SV87 ) )
| ~ ( v1_group_1 @ SV87 ) )
| ~ ( v3_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( r2_group_6 @ SV61 @ SV87 )
| ( r2_group_6 @ SV87 @ SV61 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6441]) ).
thf(6520,plain,
! [SV62: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV62 )
| ~ ( v1_group_1 @ SV62 ) ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV62 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV62 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV62 ) )
= $true )
| ( ( ! [SY330: $i] :
( ~ ( m1_subset_1 @ SY330 @ ( u1_struct_0 @ SV62 ) )
| ( ( k8_funct_2 @ ( u1_struct_0 @ SV62 ) @ ( u1_struct_0 @ SV62 ) @ ( k6_autgroup @ SV62 @ ( k2_group_1 @ SV62 ) ) @ SY330 )
= SY330 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6442]) ).
thf(6521,plain,
! [SV97: $i,SV88: $i,SV63: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV63 )
| ~ ( l1_group_1 @ SV63 ) ) )
= $false )
| ( ( ~ ( m1_subset_1 @ SV88 @ ( u1_struct_0 @ SV63 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV97 @ ( u1_struct_0 @ SV63 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k1_group_1 @ SV63 @ SV88 @ SV97 ) @ ( u1_struct_0 @ SV63 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6443]) ).
thf(6522,plain,
! [SV64: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV64 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV64 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV64 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV64 ) )
= $true )
| ( ( ! [SY333: $i] :
( ~ ( m1_subset_1 @ SY333 @ ( u1_struct_0 @ SV64 ) )
| ( ( k2_group_5 @ SV64 @ SY333 @ SY333 )
= ( k2_group_1 @ SV64 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6444]) ).
thf(6523,plain,
! [SV66: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV66 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV66 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV66 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV66 ) )
= $true )
| ( ( ! [SY335: $i] :
( ~ ( m1_subset_1 @ SY335 @ ( u1_struct_0 @ SV66 ) )
| ! [SY336: $i] :
( ~ ( m1_subset_1 @ SY336 @ ( u1_struct_0 @ SV66 ) )
| ~ ( r1_group_3 @ SV66 @ SY335 @ SY336 )
| ( r1_group_3 @ SV66 @ SY336 @ SY335 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6445]) ).
thf(6524,plain,
! [SV67: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV67 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV67 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV67 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV67 ) )
= $true )
| ( ( ! [SY337: $i] :
( ~ ( m1_subset_1 @ SY337 @ ( u1_struct_0 @ SV67 ) )
| ( ( k3_group_1 @ SV67 @ ( k3_group_1 @ SV67 @ SY337 ) )
= SY337 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6446]) ).
thf(6525,plain,
! [SV68: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV68 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV68 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV68 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV68 ) )
= $true )
| ( ( ! [SY338: $i] :
( ~ ( m1_subset_1 @ SY338 @ ( u1_struct_0 @ SV68 ) )
| ( ( k2_group_3 @ SV68 @ SY338 @ ( k2_group_1 @ SV68 ) )
= SY338 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6447]) ).
thf(6526,plain,
! [SV101: $i,SV90: $i,SV100: $i,SV69: $i] :
( ( ( SV69 = SV100 )
= $true )
| ( ( ( g2_struct_0 @ SV69 @ SV90 )
= ( g2_struct_0 @ SV100 @ SV101 ) )
= $false )
| ( ( m1_subset_1 @ SV90 @ SV69 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6448]) ).
thf(6527,plain,
! [SV100: $i,SV69: $i,SV101: $i,SV90: $i] :
( ( ( SV90 = SV101 )
= $true )
| ( ( ( g2_struct_0 @ SV69 @ SV90 )
= ( g2_struct_0 @ SV100 @ SV101 ) )
= $false )
| ( ( m1_subset_1 @ SV90 @ SV69 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6449]) ).
thf(6528,plain,
! [SV70: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK14_SY342 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
| ! [SY372: $i] :
( ~ ( m1_subset_1 @ SY372 @ ( u1_struct_0 @ SV70 ) )
| ! [SY373: $i] :
( ~ ( m1_subset_1 @ SY373 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ SY372 ) @ SY373 )
= ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( k1_group_1 @ SV70 @ SY372 @ SY373 ) ) ) ) ) )
= $false )
| ( ( ! [SY345: $i] :
( ~ ( m1_subset_1 @ SY345 @ ( u1_struct_0 @ SV70 ) )
| ~ ! [SY346: $i] :
( ~ ( m1_subset_1 @ SY346 @ ( u1_struct_0 @ SV70 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV70 @ SY346 @ SY345 )
!= SY346 )
| ( ( k1_group_1 @ SV70 @ SY345 @ SY346 )
!= SY346 ) )
| ~ ~ ! [SY347: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY347 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ SY346 @ SY347 )
!= SY345 ) )
| ( ( k1_group_1 @ SV70 @ SY347 @ SY346 )
!= SY345 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[6450]) ).
thf(6529,plain,
! [SV71: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV71 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV71 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV71 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV71 ) )
= $true )
| ( ( ! [SY348: $i] :
( ~ ( m1_subset_1 @ SY348 @ ( u1_struct_0 @ SV71 ) )
| ! [SY349: $i] :
( ~ ( m1_subset_1 @ SY349 @ ( u1_struct_0 @ SV71 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SY348 @ SY349 ) @ ( k3_group_1 @ SV71 @ SY349 ) )
!= SY348 )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SY348 @ ( k3_group_1 @ SV71 @ SY349 ) ) @ SY349 )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY349 ) @ SY349 ) @ SY348 )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SY349 @ ( k3_group_1 @ SV71 @ SY349 ) ) @ SY348 )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ SY348 @ ( k1_group_1 @ SV71 @ SY349 @ ( k3_group_1 @ SV71 @ SY349 ) ) )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ SY348 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY349 ) @ SY349 ) )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY349 ) @ ( k1_group_1 @ SV71 @ SY349 @ SY348 ) )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ SY349 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY349 ) @ SY348 ) )
!= SY348 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6451]) ).
thf(6530,plain,
! [SV91: $i,SV72: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV72 )
| ~ ( v1_group_1 @ SV72 ) )
| ~ ( v3_group_1 @ SV72 ) )
| ~ ( v4_group_1 @ SV72 ) )
| ~ ( l1_group_1 @ SV72 ) )
| ~ ~ ( v3_struct_0 @ SV91 ) )
| ~ ( v1_group_1 @ SV91 ) )
| ~ ( v3_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV91 ) )
= $true )
| ( ( r2_group_6 @ SV72 @ SV72 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6452]) ).
thf(6531,plain,
! [SV73: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV73 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV73 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV73 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV73 ) )
= $true )
| ( ( ! [SY351: $i] :
( ~ ( m1_subset_1 @ SY351 @ ( u1_struct_0 @ SV73 ) )
| ~ ( ( ( k2_group_3 @ SV73 @ SY351 @ ( k3_group_1 @ SV73 @ SY351 ) )
!= SY351 )
| ( ( k2_group_3 @ SV73 @ ( k3_group_1 @ SV73 @ SY351 ) @ SY351 )
!= ( k3_group_1 @ SV73 @ SY351 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6453]) ).
thf(6532,plain,
! [SV74: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV74 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV74 ) )
= $true )
| ( ( ! [SY352: $i] :
( ~ ( m1_subset_1 @ SY352 @ ( u1_struct_0 @ SV74 ) )
| ! [SY353: $i] :
( ~ ( m1_subset_1 @ SY353 @ ( u1_struct_0 @ SV74 ) )
| ! [SY354: $i] :
( ~ ( m1_subset_1 @ SY354 @ ( u1_struct_0 @ SV74 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV74 @ SY352 @ SY353 )
!= SY354 )
| ( SY353
= ( k1_group_1 @ SV74 @ ( k3_group_1 @ SV74 @ SY352 ) @ SY354 ) ) )
| ~ ( ( SY353
!= ( k1_group_1 @ SV74 @ ( k3_group_1 @ SV74 @ SY352 ) @ SY354 ) )
| ( ( k1_group_1 @ SV74 @ SY352 @ SY353 )
= SY354 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6454]) ).
thf(6533,plain,
! [SV75: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV75 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV75 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV75 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV75 ) )
= $true )
| ( ( ! [SY355: $i] :
( ~ ( m1_subset_1 @ SY355 @ ( u1_struct_0 @ SV75 ) )
| ( ( k3_group_1 @ SV75 @ SY355 )
!= ( k2_group_1 @ SV75 ) )
| ( SY355
= ( k2_group_1 @ SV75 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6455]) ).
thf(6534,plain,
! [SV76: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV76 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV76 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV76 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV76 ) )
= $true )
| ( ( ~ ( v5_group_1 @ ( k2_group_1 @ SV76 ) @ SV76 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6457]) ).
thf(6535,plain,
! [SV77: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV77 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV77 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV77 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV77 ) )
= $true )
| ( ( ! [SY356: $i] :
( ~ ( m1_subset_1 @ SY356 @ ( u1_struct_0 @ SV77 ) )
| ! [SY357: $i] :
( ~ ( m1_subset_1 @ SY357 @ ( u1_struct_0 @ SV77 ) )
| ~ ! [SY358: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY358 @ ( u1_struct_0 @ SV77 ) )
| ( ( k1_group_1 @ SV77 @ SY358 @ SY356 )
!= SY357 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6458]) ).
thf(6536,plain,
! [SV78: $i] :
( ( ( v3_group_1 @ SV78 )
= $false )
| ( ( v3_struct_0 @ SV78 )
= $true )
| ( ( ~ ( l1_group_1 @ SV78 ) )
= $true )
| ( ( ~ ! [SY359: $i] :
~ ( m1_group_2 @ SY359 @ SV78 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6459]) ).
thf(6537,plain,
! [SV2: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV2 )
| ~ ( v1_group_1 @ SV2 ) ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV2 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV2 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV2 ) )
= $true )
| ( ( ! [SY222: $i] :
( ~ ( m1_subset_1 @ SY222 @ ( u1_struct_0 @ SV2 ) )
| ! [SY223: $i] :
( ~ ( m1_subset_1 @ SY223 @ ( u1_struct_0 @ SV2 ) )
| ( ( k6_autgroup @ SV2 @ ( k1_group_1 @ SV2 @ SY222 @ SY223 ) )
= ( k7_funct_2 @ ( u1_struct_0 @ SV2 ) @ ( u1_struct_0 @ SV2 ) @ ( u1_struct_0 @ SV2 ) @ ( k6_autgroup @ SV2 @ SY222 ) @ ( k6_autgroup @ SV2 @ SY223 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6460]) ).
thf(6538,plain,
! [SV3: $i] :
( ( ( ~ ( v3_struct_0 @ SV3 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV3 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV3 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV3 ) )
= $true )
| ( ( ! [SY224: $i] :
( ~ ( m1_subset_1 @ SY224 @ ( u1_struct_0 @ SV3 ) )
| ! [SY225: $i] :
( ~ ( m1_subset_1 @ SY225 @ ( u1_struct_0 @ SV3 ) )
| ~ ( ( ( k1_group_1 @ SV3 @ SY224 @ SY225 )
= SY224 )
| ( ( k1_group_1 @ SV3 @ SY225 @ SY224 )
= SY224 ) )
| ( SY225
= ( k2_group_1 @ SV3 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6461]) ).
thf(6539,plain,
! [SV4: $i] :
( ( ( ~ ( v3_struct_0 @ SV4 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV4 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV4 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV4 ) )
= $true )
| ( ( ! [SY226: $i] :
( ~ ( m1_group_2 @ SY226 @ SV4 )
| ! [SY227: $i] :
( ~ ( m1_group_2 @ SY227 @ SV4 )
| ( ( k2_group_1 @ SY226 )
= ( k2_group_1 @ SY227 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6462]) ).
thf(6540,plain,
! [SV5: $i] :
( ( ( ~ ( v3_struct_0 @ SV5 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV5 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV5 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV5 ) )
= $true )
| ( ( ! [SY228: $i] :
( ~ ( m1_subset_1 @ SY228 @ ( u1_struct_0 @ SV5 ) )
| ! [SY229: $i] :
( ~ ( m1_subset_1 @ SY229 @ ( u1_struct_0 @ SV5 ) )
| ~ ( ( ( k2_group_3 @ SV5 @ ( k2_group_3 @ SV5 @ SY228 @ SY229 ) @ ( k3_group_1 @ SV5 @ SY229 ) )
!= SY228 )
| ( ( k2_group_3 @ SV5 @ ( k2_group_3 @ SV5 @ SY228 @ ( k3_group_1 @ SV5 @ SY229 ) ) @ SY229 )
!= SY228 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6463]) ).
thf(6541,plain,
! [SV6: $i] :
( ( ( ~ ( v3_struct_0 @ SV6 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV6 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV6 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV6 ) )
= $true )
| ( ( ! [SY230: $i] :
( ~ ( m1_subset_1 @ SY230 @ ( u1_struct_0 @ SV6 ) )
| ( ( k2_group_3 @ SV6 @ ( k2_group_1 @ SV6 ) @ SY230 )
= ( k2_group_1 @ SV6 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6464]) ).
thf(6542,plain,
! [SV7: $i] :
( ( ( ~ ( v3_struct_0 @ SV7 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV7 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV7 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV7 ) )
= $true )
| ( ( ! [SY231: $i] :
( ~ ( m1_subset_1 @ SY231 @ ( u1_struct_0 @ SV7 ) )
| ~ ( ( r2_group_3 @ SV7 @ SY231 @ ( k2_group_1 @ SV7 ) )
| ( r2_group_3 @ SV7 @ ( k2_group_1 @ SV7 ) @ SY231 ) )
| ( SY231
= ( k2_group_1 @ SV7 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6465]) ).
thf(6543,plain,
! [SV8: $i] :
( ( ( ~ ( v3_struct_0 @ SV8 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV8 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV8 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV8 ) )
= $true )
| ( ( ! [SY232: $i] :
( ~ ( m1_subset_1 @ SY232 @ ( u1_struct_0 @ SV8 ) )
| ! [SY233: $i] :
( ~ ( m1_subset_1 @ SY233 @ ( u1_struct_0 @ SV8 ) )
| ! [SY234: $i] :
( ~ ( m1_subset_1 @ SY234 @ ( u1_struct_0 @ SV8 ) )
| ~ ( ( ( k1_group_1 @ SV8 @ SY232 @ SY233 )
= ( k1_group_1 @ SV8 @ SY232 @ SY234 ) )
| ( ( k1_group_1 @ SV8 @ SY233 @ SY232 )
= ( k1_group_1 @ SV8 @ SY234 @ SY232 ) ) )
| ( SY233 = SY234 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6466]) ).
thf(6544,plain,
! [SV10: $i] :
( ( ( ~ ( v3_struct_0 @ SV10 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV10 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV10 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV10 ) )
= $true )
| ( ( ! [SY235: $i] :
( ~ ( m1_subset_1 @ SY235 @ ( u1_struct_0 @ SV10 ) )
| ! [SY236: $i] :
( ~ ( m1_subset_1 @ SY236 @ ( u1_struct_0 @ SV10 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV10 @ SY235 @ SY236 )
!= ( k1_group_1 @ SV10 @ SY236 @ SY235 ) )
| ( ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY235 ) @ ( k3_group_1 @ SV10 @ SY236 ) )
= ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY236 ) @ ( k3_group_1 @ SV10 @ SY235 ) ) ) )
| ~ ( ( ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY235 ) @ ( k3_group_1 @ SV10 @ SY236 ) )
!= ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY236 ) @ ( k3_group_1 @ SV10 @ SY235 ) ) )
| ( ( k1_group_1 @ SV10 @ SY235 @ SY236 )
= ( k1_group_1 @ SV10 @ SY236 @ SY235 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6467]) ).
thf(6545,plain,
! [SV11: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV11 )
| ~ ( v1_group_1 @ SV11 ) ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV11 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV11 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV11 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k3_autgroup @ SV11 ) )
| ~ ( v1_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( v3_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( v4_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( l1_group_1 @ ( k3_autgroup @ SV11 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6468]) ).
thf(6546,plain,
! [SV12: $i] :
( ( ( l1_group_1 @ SV12 )
= $false )
| ( ( v3_struct_0 @ SV12 )
= $true )
| ( ( v3_group_1 @ SV12 )
= $false )
| ( ( ! [SY237: $i] :
( ~ ( m1_group_2 @ SY237 @ SV12 )
| ! [SY238: $i] :
( ~ ( m1_subset_1 @ SY238 @ ( u1_struct_0 @ SY237 ) )
| ( m1_subset_1 @ SY238 @ ( u1_struct_0 @ SV12 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6469]) ).
thf(6547,plain,
! [SV13: $i] :
( ( ( ~ ( v3_struct_0 @ SV13 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV13 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV13 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV13 ) )
= $true )
| ( ( ! [SY239: $i] :
( ~ ( m1_subset_1 @ SY239 @ ( u1_struct_0 @ SV13 ) )
| ! [SY240: $i] :
( ~ ( m1_subset_1 @ SY240 @ ( u1_struct_0 @ SV13 ) )
| ~ ( ~ ~ ( ( ( k3_group_5 @ SV13 @ SY239 @ SY240 @ ( k2_group_1 @ SV13 ) )
!= ( k2_group_1 @ SV13 ) )
| ( ( k3_group_5 @ SV13 @ SY239 @ ( k2_group_1 @ SV13 ) @ SY240 )
!= ( k2_group_1 @ SV13 ) ) )
| ( ( k3_group_5 @ SV13 @ ( k2_group_1 @ SV13 ) @ SY239 @ SY240 )
!= ( k2_group_1 @ SV13 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6470]) ).
thf(6548,plain,
! [SV15: $i] :
( ( ( ~ ( v3_struct_0 @ SV15 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV15 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV15 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV15 ) )
= $true )
| ( ( ! [SY241: $i] :
( ~ ( m1_subset_1 @ SY241 @ ( u1_struct_0 @ SV15 ) )
| ! [SY242: $i] :
( ~ ( m1_subset_1 @ SY242 @ ( u1_struct_0 @ SV15 ) )
| ( ( k2_group_3 @ SV15 @ ( k3_group_1 @ SV15 @ SY241 ) @ SY242 )
= ( k3_group_1 @ SV15 @ ( k2_group_3 @ SV15 @ SY241 @ SY242 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6471]) ).
thf(6549,plain,
! [SV16: $i] :
( ( ( ~ ( v3_group_1 @ SV16 ) )
= $true )
| ( ( ~ ! [SY243: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY243 @ ( u1_struct_0 @ SV16 ) )
| ~ ! [SY244: $i] :
( ~ ( m1_subset_1 @ SY244 @ ( u1_struct_0 @ SV16 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV16 @ SY244 @ SY243 )
!= SY244 )
| ( ( k1_group_1 @ SV16 @ SY243 @ SY244 )
!= SY244 ) )
| ~ ~ ! [SY245: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY245 @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ SY244 @ SY245 )
!= SY243 ) )
| ( ( k1_group_1 @ SV16 @ SY245 @ SY244 )
!= SY243 ) ) ) ) ) )
= $true )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6472]) ).
thf(6550,plain,
! [SV16: $i] :
( ( ( ~ ~ ! [SY246: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY246 @ ( u1_struct_0 @ SV16 ) )
| ~ ! [SY247: $i] :
( ~ ( m1_subset_1 @ SY247 @ ( u1_struct_0 @ SV16 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV16 @ SY247 @ SY246 )
!= SY247 )
| ( ( k1_group_1 @ SV16 @ SY246 @ SY247 )
!= SY247 ) )
| ~ ~ ! [SY248: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY248 @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ SY247 @ SY248 )
!= SY246 ) )
| ( ( k1_group_1 @ SV16 @ SY248 @ SY247 )
!= SY246 ) ) ) ) ) )
= $true )
| ( ( v3_group_1 @ SV16 )
= $true )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6473]) ).
thf(6551,plain,
! [SV17: $i] :
( ( ( ~ ( v3_struct_0 @ SV17 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV17 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV17 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV17 ) )
= $true )
| ( ( ! [SY249: $i] :
( ~ ( m1_subset_1 @ SY249 @ ( u1_struct_0 @ SV17 ) )
| ! [SY250: $i] :
( ~ ( m1_subset_1 @ SY250 @ ( u1_struct_0 @ SV17 ) )
| ( ( k2_group_3 @ SV17 @ SY249 @ SY250 )
!= ( k2_group_1 @ SV17 ) )
| ( SY249
= ( k2_group_1 @ SV17 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6474]) ).
thf(6552,plain,
! [SV18: $i] :
( ( ( ~ ( v3_struct_0 @ SV18 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV18 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV18 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV18 ) )
= $true )
| ( ( ! [SY251: $i] :
( ~ ( m1_subset_1 @ SY251 @ ( u1_struct_0 @ SV18 ) )
| ( r1_group_3 @ SV18 @ SY251 @ SY251 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6475]) ).
thf(6553,plain,
! [SV92: $i,SV79: $i,SV19: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV19 )
| ~ ( v3_group_1 @ SV19 ) )
| ~ ( v4_group_1 @ SV19 ) )
| ~ ( l1_group_1 @ SV19 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV79 @ ( u1_struct_0 @ SV19 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV92 @ ( u1_struct_0 @ SV19 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k2_group_3 @ SV19 @ SV79 @ SV92 ) @ ( u1_struct_0 @ SV19 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6476]) ).
thf(6554,plain,
! [SV21: $i] :
( ( ( ~ ( v3_struct_0 @ SV21 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV21 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV21 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV21 ) )
= $true )
| ( ( ! [SY254: $i] :
( ~ ( m1_subset_1 @ SY254 @ ( u1_struct_0 @ SV21 ) )
| ! [SY255: $i] :
( ~ ( m1_subset_1 @ SY255 @ ( u1_struct_0 @ SV21 ) )
| ! [SY256: $i] :
( ~ ( m1_subset_1 @ SY256 @ ( u1_struct_0 @ SV21 ) )
| ~ ~ ( ~ ( r2_group_3 @ SV21 @ SY254 @ SY255 )
| ~ ( r2_group_3 @ SV21 @ SY255 @ SY256 ) )
| ( r2_group_3 @ SV21 @ SY254 @ SY256 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6477]) ).
thf(6555,plain,
! [SV22: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV22 )
| ~ ( v1_group_1 @ SV22 ) ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV22 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV22 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV22 ) )
= $true )
| ( ( ! [SY257: $i] :
( ~ ~ ( ~ ( v1_group_1 @ SY257 )
| ~ ( m1_group_2 @ SY257 @ SV22 ) )
| ( ( u1_struct_0 @ SY257 )
!= ( u1_struct_0 @ SV22 ) )
| ( SY257 = SV22 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6478]) ).
thf(6556,plain,
! [SV23: $i] :
( ( ( ~ ( v3_struct_0 @ SV23 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV23 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV23 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV23 ) )
= $true )
| ( ( ! [SY258: $i] :
( ~ ( m1_subset_1 @ SY258 @ ( u1_struct_0 @ SV23 ) )
| ! [SY259: $i] :
( ~ ( m1_subset_1 @ SY259 @ ( u1_struct_0 @ SV23 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV23 @ SY258 @ SY259 )
!= ( k1_group_1 @ SV23 @ SY259 @ SY258 ) )
| ( ( k3_group_1 @ SV23 @ ( k1_group_1 @ SV23 @ SY258 @ SY259 ) )
= ( k1_group_1 @ SV23 @ ( k3_group_1 @ SV23 @ SY258 ) @ ( k3_group_1 @ SV23 @ SY259 ) ) ) )
| ~ ( ( ( k3_group_1 @ SV23 @ ( k1_group_1 @ SV23 @ SY258 @ SY259 ) )
!= ( k1_group_1 @ SV23 @ ( k3_group_1 @ SV23 @ SY258 ) @ ( k3_group_1 @ SV23 @ SY259 ) ) )
| ( ( k1_group_1 @ SV23 @ SY258 @ SY259 )
= ( k1_group_1 @ SV23 @ SY259 @ SY258 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6479]) ).
thf(6557,plain,
! [SV24: $i] :
( ( ( ~ ( v3_struct_0 @ SV24 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV24 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV24 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV24 ) )
= $true )
| ( ( ! [SY260: $i] :
( ~ ( m1_subset_1 @ SY260 @ ( u1_struct_0 @ SV24 ) )
| ~ ( ( ( k2_group_5 @ SV24 @ ( k2_group_1 @ SV24 ) @ SY260 )
!= ( k2_group_1 @ SV24 ) )
| ( ( k2_group_5 @ SV24 @ SY260 @ ( k2_group_1 @ SV24 ) )
!= ( k2_group_1 @ SV24 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6480]) ).
thf(6558,plain,
! [SV25: $i] :
( ( ( ~ ( v3_struct_0 @ SV25 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV25 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV25 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV25 ) )
= $true )
| ( ( m1_group_2 @ SV25 @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6481]) ).
thf(6559,plain,
! [SV26: $i] :
( ( ( ~ ( v3_struct_0 @ SV26 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV26 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV26 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV26 ) )
= $true )
| ( ( ! [SY261: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY261 )
| ~ ( v3_group_1 @ SY261 ) )
| ~ ( v4_group_1 @ SY261 ) )
| ~ ( l1_group_1 @ SY261 ) )
| ! [SY262: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY262 )
| ~ ( v3_group_1 @ SY262 ) )
| ~ ( v4_group_1 @ SY262 ) )
| ~ ( l1_group_1 @ SY262 ) )
| ~ ~ ( ~ ( m1_group_2 @ SV26 @ SY261 )
| ~ ( m1_group_2 @ SY261 @ SY262 ) )
| ( m1_group_2 @ SV26 @ SY262 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6482]) ).
thf(6560,plain,
! [SV28: $i] :
( ( ( ~ ! [SY265: $i] :
( ~ ( m1_subset_1 @ SY265 @ ( u1_struct_0 @ SV28 ) )
| ! [SY266: $i] :
( ~ ( m1_subset_1 @ SY266 @ ( u1_struct_0 @ SV28 ) )
| ! [SY267: $i] :
( ~ ( m1_subset_1 @ SY267 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ ( k1_group_1 @ SV28 @ SY265 @ SY266 ) @ SY267 )
= ( k1_group_1 @ SV28 @ SY265 @ ( k1_group_1 @ SV28 @ SY266 @ SY267 ) ) ) ) ) ) )
= $true )
| ( ( ~ ! [SY268: $i] :
( ~ ( m1_subset_1 @ SY268 @ ( u1_struct_0 @ SV28 ) )
| ! [SY269: $i] :
( ~ ( m1_subset_1 @ SY269 @ ( u1_struct_0 @ SV28 ) )
| ~ ( ~ ~ ! [SY270: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY270 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY268 @ SY270 )
!= SY269 ) )
| ~ ~ ! [SY271: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY271 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY271 @ SY268 )
!= SY269 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6483]) ).
thf(6561,plain,
! [SV93: $i,SV81: $i,SV29: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV29 )
| ~ ( v3_group_1 @ SV29 ) )
| ~ ( v4_group_1 @ SV29 ) )
| ~ ( l1_group_1 @ SV29 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV81 @ ( u1_struct_0 @ SV29 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV93 @ ( u1_struct_0 @ SV29 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k2_group_5 @ SV29 @ SV81 @ SV93 ) @ ( u1_struct_0 @ SV29 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6484]) ).
thf(6562,plain,
! [SV94: $i,SV82: $i,SV30: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV30 )
| ~ ( v3_group_1 @ SV30 ) )
| ~ ( v4_group_1 @ SV30 ) )
| ~ ( l1_group_1 @ SV30 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV82 @ ( u1_struct_0 @ SV30 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV94 @ ( u1_struct_0 @ SV30 ) ) )
= $true )
| ( ( r2_group_3 @ SV30 @ SV82 @ SV82 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6485]) ).
thf(6563,plain,
! [SV31: $i] :
( ( ( ~ ( v3_struct_0 @ SV31 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV31 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV31 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV31 ) )
= $true )
| ( ( ! [SY276: $i] :
( ~ ( m1_subset_1 @ SY276 @ ( u1_struct_0 @ SV31 ) )
| ! [SY277: $i] :
( ~ ( m1_subset_1 @ SY277 @ ( u1_struct_0 @ SV31 ) )
| ( ( k3_group_1 @ SV31 @ SY276 )
!= ( k3_group_1 @ SV31 @ SY277 ) )
| ( SY276 = SY277 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6486]) ).
thf(6564,plain,
! [SV32: $i] :
( ( ( ~ ( v3_struct_0 @ SV32 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV32 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV32 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV32 ) )
= $true )
| ( ( ! [SY278: $i] :
( ~ ( m1_subset_1 @ SY278 @ ( u1_struct_0 @ SV32 ) )
| ~ ( ( ( k2_group_5 @ SV32 @ SY278 @ ( k3_group_1 @ SV32 @ SY278 ) )
!= ( k2_group_1 @ SV32 ) )
| ( ( k2_group_5 @ SV32 @ ( k3_group_1 @ SV32 @ SY278 ) @ SY278 )
!= ( k2_group_1 @ SV32 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6487]) ).
thf(6565,plain,
! [SV33: $i] :
( ( ( ~ ( v3_struct_0 @ SV33 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV33 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV33 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV33 ) )
= $true )
| ( ( ! [SY279: $i] :
( ~ ( m1_subset_1 @ SY279 @ ( u1_struct_0 @ SV33 ) )
| ! [SY280: $i] :
( ~ ( m1_subset_1 @ SY280 @ ( u1_struct_0 @ SV33 ) )
| ! [SY281: $i] :
( ~ ( m1_subset_1 @ SY281 @ ( u1_struct_0 @ SV33 ) )
| ( ( k2_group_3 @ SV33 @ SY279 @ SY280 )
!= ( k2_group_3 @ SV33 @ SY281 @ SY280 ) )
| ( SY279 = SY281 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6488]) ).
thf(6566,plain,
! [SV34: $i] :
( ( ( ~ ( v3_struct_0 @ SV34 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV34 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV34 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV34 ) )
= $true )
| ( ( ! [SY282: $i] :
( ~ ( m1_subset_1 @ SY282 @ ( u1_struct_0 @ SV34 ) )
| ! [SY283: $i] :
( ~ ( m1_subset_1 @ SY283 @ ( u1_struct_0 @ SV34 ) )
| ~ ( ( ( k1_group_1 @ SV34 @ SY282 @ SY283 )
= ( k2_group_1 @ SV34 ) )
| ( ( k1_group_1 @ SV34 @ SY283 @ SY282 )
= ( k2_group_1 @ SV34 ) ) )
| ~ ( ( SY282
!= ( k3_group_1 @ SV34 @ SY283 ) )
| ( SY283
!= ( k3_group_1 @ SV34 @ SY282 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6489]) ).
thf(6567,plain,
! [SV83: $i,SV35: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV35 )
| ~ ( v3_group_1 @ SV35 ) )
| ~ ( v4_group_1 @ SV35 ) )
| ~ ( l1_group_1 @ SV35 ) )
| ~ ~ ( v3_struct_0 @ SV83 ) ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV83 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV83 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV83 ) )
= $true )
| ( ( r1_group_6 @ SV35 @ SV35 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6490]) ).
thf(6568,plain,
! [SV36: $i] :
( ( ( ~ ( v3_struct_0 @ SV36 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV36 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV36 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV36 ) )
= $true )
| ( ( ! [SY285: $i] :
( ~ ( m1_subset_1 @ SY285 @ ( u1_struct_0 @ SV36 ) )
| ! [SY286: $i] :
( ~ ( m1_subset_1 @ SY286 @ ( u1_struct_0 @ SV36 ) )
| ! [SY287: $i] :
( ~ ( m1_subset_1 @ SY287 @ ( u1_struct_0 @ SV36 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV36 @ SY285 @ SY286 )
!= SY287 )
| ( SY285
= ( k1_group_1 @ SV36 @ SY287 @ ( k3_group_1 @ SV36 @ SY286 ) ) ) )
| ~ ( ( SY285
!= ( k1_group_1 @ SV36 @ SY287 @ ( k3_group_1 @ SV36 @ SY286 ) ) )
| ( ( k1_group_1 @ SV36 @ SY285 @ SY286 )
= SY287 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6491]) ).
thf(6569,plain,
! [SV37: $i] :
( ( ( ~ ( v3_struct_0 @ SV37 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV37 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV37 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV37 ) )
= $true )
| ( ( ! [SY288: $i] :
( ~ ( m1_group_2 @ SY288 @ SV37 )
| ( v4_group_1 @ SY288 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6492]) ).
thf(6570,plain,
( ( l1_group_1 @ sK5_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6493]) ).
thf(6571,plain,
( ( ~ ( v3_struct_0 @ sK5_SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6494]) ).
thf(6572,plain,
! [SV38: $i] :
( ( ( l1_group_1 @ SV38 )
= $false )
| ( ( v3_struct_0 @ SV38 )
= $true )
| ( ( v3_group_1 @ SV38 )
= $false )
| ( ( ! [SY289: $i] :
( ~ ( m1_group_2 @ SY289 @ SV38 )
| ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY289 )
| ~ ( v3_group_1 @ SY289 ) )
| ~ ( l1_group_1 @ SY289 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6495]) ).
thf(6573,plain,
! [SV40: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV40 ) )
= $false )
| ( ( v3_struct_0 @ SV40 )
= $true )
| ( ( v3_group_1 @ SV40 )
= $false )
| ( ( l1_group_1 @ SV40 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6496]) ).
thf(6574,plain,
! [SV40: $i] :
( ( ( ~ ( v2_group_1 @ SV40 ) )
= $false )
| ( ( v3_struct_0 @ SV40 )
= $true )
| ( ( v3_group_1 @ SV40 )
= $false )
| ( ( l1_group_1 @ SV40 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6496]) ).
thf(6575,plain,
! [SV41: $i] :
( ( ( ~ ( v3_struct_0 @ SV41 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV41 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV41 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV41 ) )
= $true )
| ( ( ! [SY291: $i] :
( ~ ( m1_subset_1 @ SY291 @ ( u1_struct_0 @ SV41 ) )
| ! [SY292: $i] :
( ~ ( m1_subset_1 @ SY292 @ ( u1_struct_0 @ SV41 ) )
| ( ( k3_group_1 @ SV41 @ ( k2_group_5 @ SV41 @ SY291 @ SY292 ) )
= ( k2_group_5 @ SV41 @ SY292 @ SY291 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6497]) ).
thf(6576,plain,
! [SV42: $i] :
( ( ( ~ ( v3_struct_0 @ SV42 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV42 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV42 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV42 ) )
= $true )
| ( ( ! [SY293: $i] :
( ~ ( m1_subset_1 @ SY293 @ ( u1_struct_0 @ SV42 ) )
| ! [SY294: $i] :
( ~ ( m1_subset_1 @ SY294 @ ( u1_struct_0 @ SV42 ) )
| ( ( k3_group_5 @ SV42 @ SY293 @ SY293 @ SY294 )
= ( k2_group_1 @ SV42 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6498]) ).
thf(6577,plain,
! [SV43: $i] :
( ( ( l1_group_1 @ SV43 )
= $false )
| ( ( v3_struct_0 @ SV43 )
= $true )
| ( ( v3_group_1 @ SV43 )
= $false )
| ( ( ! [SY295: $i] :
( ~ ( m1_subset_1 @ SY295 @ ( u1_struct_0 @ SV43 ) )
| ~ ! [SY296: $i] :
( ~ ( m1_subset_1 @ SY296 @ ( u1_struct_0 @ SV43 ) )
| ~ ( ( ( k1_group_1 @ SV43 @ SY296 @ SY295 )
!= SY296 )
| ( ( k1_group_1 @ SV43 @ SY295 @ SY296 )
!= SY296 ) ) )
| ( SY295
= ( k2_group_1 @ SV43 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6499]) ).
thf(6578,plain,
( ( ~ ( ~ ~ ( ~ ( l1_group_1 @ sK6_SX0 )
| ~ ~ ( v3_struct_0 @ sK6_SX0 ) )
| ~ ( v1_group_1 @ sK6_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6500]) ).
thf(6579,plain,
( ( v2_group_1 @ sK6_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6501]) ).
thf(6580,plain,
! [SV44: $i] :
( ( ( ~ ( v4_group_1 @ SV44 ) )
= $true )
| ( ( ! [SY297: $i] :
( ~ ( m1_subset_1 @ SY297 @ ( u1_struct_0 @ SV44 ) )
| ! [SY298: $i] :
( ~ ( m1_subset_1 @ SY298 @ ( u1_struct_0 @ SV44 ) )
| ! [SY299: $i] :
( ~ ( m1_subset_1 @ SY299 @ ( u1_struct_0 @ SV44 ) )
| ( ( k1_group_1 @ SV44 @ ( k1_group_1 @ SV44 @ SY297 @ SY298 ) @ SY299 )
= ( k1_group_1 @ SV44 @ SY297 @ ( k1_group_1 @ SV44 @ SY298 @ SY299 ) ) ) ) ) ) )
= $true )
| ( ( v3_struct_0 @ SV44 )
= $true )
| ( ( l1_group_1 @ SV44 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6502]) ).
thf(6581,plain,
! [SV44: $i] :
( ( ( ~ ! [SY300: $i] :
( ~ ( m1_subset_1 @ SY300 @ ( u1_struct_0 @ SV44 ) )
| ! [SY301: $i] :
( ~ ( m1_subset_1 @ SY301 @ ( u1_struct_0 @ SV44 ) )
| ! [SY302: $i] :
( ~ ( m1_subset_1 @ SY302 @ ( u1_struct_0 @ SV44 ) )
| ( ( k1_group_1 @ SV44 @ ( k1_group_1 @ SV44 @ SY300 @ SY301 ) @ SY302 )
= ( k1_group_1 @ SV44 @ SY300 @ ( k1_group_1 @ SV44 @ SY301 @ SY302 ) ) ) ) ) ) )
= $true )
| ( ( v4_group_1 @ SV44 )
= $true )
| ( ( v3_struct_0 @ SV44 )
= $true )
| ( ( l1_group_1 @ SV44 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6503]) ).
thf(6582,plain,
! [SV45: $i] :
( ( ( ~ ( v3_struct_0 @ SV45 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV45 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV45 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV45 ) )
= $true )
| ( ( ! [SY303: $i] :
( ~ ( m1_subset_1 @ SY303 @ ( u1_struct_0 @ SV45 ) )
| ! [SY304: $i] :
( ~ ( m1_subset_1 @ SY304 @ ( u1_struct_0 @ SV45 ) )
| ( ( k3_group_1 @ SV45 @ ( k1_group_1 @ SV45 @ SY303 @ SY304 ) )
= ( k1_group_1 @ SV45 @ ( k3_group_1 @ SV45 @ SY304 ) @ ( k3_group_1 @ SV45 @ SY303 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6504]) ).
thf(6583,plain,
! [SV46: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV46 )
| ~ ( v1_group_1 @ SV46 ) ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV46 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV46 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV46 ) )
= $true )
| ( ( ( k6_autgroup @ SV46 @ ( k2_group_1 @ SV46 ) )
= ( k6_partfun1 @ ( u1_struct_0 @ SV46 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6505]) ).
thf(6584,plain,
! [SV98: $i,SV95: $i,SV84: $i,SV47: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV47 )
| ~ ( v3_group_1 @ SV47 ) )
| ~ ( v4_group_1 @ SV47 ) )
| ~ ( l1_group_1 @ SV47 ) )
| ~ ( m1_subset_1 @ SV84 @ ( u1_struct_0 @ SV47 ) ) ) )
= $false )
| ( ( ~ ( m1_subset_1 @ SV95 @ ( u1_struct_0 @ SV47 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV98 @ ( u1_struct_0 @ SV47 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k3_group_5 @ SV47 @ SV84 @ SV95 @ SV98 ) @ ( u1_struct_0 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6506]) ).
thf(6585,plain,
! [SV48: $i] :
( ( ( ~ ( v3_struct_0 @ SV48 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV48 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV48 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV48 ) )
= $true )
| ( ( ! [SY308: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY308 )
| ~ ( v3_group_1 @ SY308 ) )
| ~ ( v4_group_1 @ SY308 ) )
| ~ ( l1_group_1 @ SY308 ) )
| ! [SY309: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY309 )
| ~ ( v3_group_1 @ SY309 ) )
| ~ ( v4_group_1 @ SY309 ) )
| ~ ( l1_group_1 @ SY309 ) )
| ~ ~ ( ~ ( r1_group_6 @ SV48 @ SY308 )
| ~ ( r1_group_6 @ SY308 @ SY309 ) )
| ( r1_group_6 @ SV48 @ SY309 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6507]) ).
thf(6586,plain,
! [SV85: $i,SV49: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV49 )
| ~ ( v3_group_1 @ SV49 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV49 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV49 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV85 @ ( u1_struct_0 @ SV49 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k3_group_1 @ SV49 @ SV85 ) @ ( u1_struct_0 @ SV49 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6508]) ).
thf(6587,plain,
! [SV50: $i] :
( ( ( ~ ( v3_struct_0 @ SV50 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV50 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV50 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV50 ) )
= $true )
| ( ( ( k3_group_1 @ SV50 @ ( k2_group_1 @ SV50 ) )
= ( k2_group_1 @ SV50 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6509]) ).
thf(6588,plain,
! [SV96: $i,SV86: $i,SV51: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV51 )
| ~ ( v3_group_1 @ SV51 ) )
| ~ ( v4_group_1 @ SV51 ) )
| ~ ( l1_group_1 @ SV51 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV86 @ ( u1_struct_0 @ SV51 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV96 @ ( u1_struct_0 @ SV51 ) ) )
= $true )
| ( ( ~ ( r2_group_3 @ SV51 @ SV86 @ SV96 )
| ( r2_group_3 @ SV51 @ SV96 @ SV86 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6510]) ).
thf(6589,plain,
! [SV52: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV52 )
| ~ ( v1_group_1 @ SV52 ) ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV52 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV52 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV52 ) )
= $true )
| ( ( ! [SY313: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY313 )
| ~ ( v1_group_1 @ SY313 ) )
| ~ ( v3_group_1 @ SY313 ) )
| ~ ( v4_group_1 @ SY313 ) )
| ~ ( l1_group_1 @ SY313 ) )
| ~ ( r1_group_6 @ SV52 @ SY313 )
| ( r1_group_6 @ SY313 @ SV52 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6511]) ).
thf(6590,plain,
! [SV53: $i] :
( ( ( ~ ( v3_struct_0 @ SV53 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV53 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV53 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV53 ) )
= $true )
| ( ( ! [SY314: $i] :
( ~ ( m1_group_2 @ SY314 @ SV53 )
| ( ( k2_group_1 @ SY314 )
= ( k2_group_1 @ SV53 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6512]) ).
thf(6591,plain,
! [SV54: $i] :
( ( ( ~ ( v3_struct_0 @ SV54 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV54 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV54 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV54 ) )
= $true )
| ( ( ! [SY315: $i] :
( ~ ( m1_subset_1 @ SY315 @ ( u1_struct_0 @ SV54 ) )
| ! [SY316: $i] :
( ~ ( m1_subset_1 @ SY316 @ ( u1_struct_0 @ SV54 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV54 @ SY315 @ SY316 )
!= ( k1_group_1 @ SV54 @ SY316 @ SY315 ) )
| ( ( k1_group_1 @ SV54 @ SY315 @ ( k3_group_1 @ SV54 @ SY316 ) )
= ( k1_group_1 @ SV54 @ ( k3_group_1 @ SV54 @ SY316 ) @ SY315 ) ) )
| ~ ( ( ( k1_group_1 @ SV54 @ SY315 @ ( k3_group_1 @ SV54 @ SY316 ) )
!= ( k1_group_1 @ SV54 @ ( k3_group_1 @ SV54 @ SY316 ) @ SY315 ) )
| ( ( k1_group_1 @ SV54 @ SY315 @ SY316 )
= ( k1_group_1 @ SV54 @ SY316 @ SY315 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6513]) ).
thf(6592,plain,
! [SV55: $i] :
( ( ( ~ ( v3_struct_0 @ SV55 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV55 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV55 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV55 ) )
= $true )
| ( ( ! [SY317: $i] :
( ~ ( m1_subset_1 @ SY317 @ ( u1_struct_0 @ SV55 ) )
| ! [SY318: $i] :
( ~ ( m1_group_2 @ SY318 @ SV55 )
| ! [SY319: $i] :
( ~ ( m1_subset_1 @ SY319 @ ( u1_struct_0 @ SY318 ) )
| ( SY319 != SY317 )
| ( ( k3_group_1 @ SY318 @ SY319 )
= ( k3_group_1 @ SV55 @ SY317 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6514]) ).
thf(6593,plain,
! [SV56: $i] :
( ( ( ~ ( v3_struct_0 @ SV56 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV56 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV56 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV56 ) )
= $true )
| ( ( ! [SY320: $i] :
( ~ ( m1_subset_1 @ SY320 @ ( u1_struct_0 @ SV56 ) )
| ! [SY321: $i] :
( ~ ( m1_subset_1 @ SY321 @ ( u1_struct_0 @ SV56 ) )
| ~ ~ ( ( ( k1_group_1 @ SV56 @ SY320 @ SY321 )
!= ( k2_group_1 @ SV56 ) )
| ( ( k1_group_1 @ SV56 @ SY321 @ SY320 )
!= ( k2_group_1 @ SV56 ) ) )
| ( SY321
= ( k3_group_1 @ SV56 @ SY320 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6515]) ).
thf(6594,plain,
! [SV57: $i] :
( ( ( ~ ( v3_struct_0 @ SV57 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV57 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV57 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV57 ) )
= $true )
| ( ( ! [SY322: $i] :
( ~ ( m1_subset_1 @ SY322 @ ( u1_struct_0 @ SV57 ) )
| ( ( k2_group_3 @ SV57 @ SY322 @ SY322 )
= SY322 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6516]) ).
thf(6595,plain,
! [SV59: $i] :
( ( ( ~ ( v3_struct_0 @ SV59 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV59 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV59 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV59 ) )
= $true )
| ( ( ! [SY324: $i] :
( ~ ( m1_subset_1 @ SY324 @ ( u1_struct_0 @ SV59 ) )
| ! [SY325: $i] :
( ~ ( m1_subset_1 @ SY325 @ ( u1_struct_0 @ SV59 ) )
| ~ ! [SY326: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY326 @ ( u1_struct_0 @ SV59 ) )
| ( ( k1_group_1 @ SV59 @ SY324 @ SY326 )
!= SY325 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6517]) ).
thf(6596,plain,
! [SV60: $i] :
( ( ( ~ ( v3_struct_0 @ SV60 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV60 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV60 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV60 ) )
= $true )
| ( ( ! [SY327: $i] :
( ~ ( m1_subset_1 @ SY327 @ ( u1_struct_0 @ SV60 ) )
| ! [SY328: $i] :
( ~ ( m1_subset_1 @ SY328 @ ( u1_struct_0 @ SV60 ) )
| ~ ( ~ ( ( SY328
!= ( k3_group_1 @ SV60 @ SY327 ) )
| ~ ( ( ( k1_group_1 @ SV60 @ SY327 @ SY328 )
!= ( k2_group_1 @ SV60 ) )
| ( ( k1_group_1 @ SV60 @ SY328 @ SY327 )
!= ( k2_group_1 @ SV60 ) ) ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV60 @ SY327 @ SY328 )
!= ( k2_group_1 @ SV60 ) )
| ( ( k1_group_1 @ SV60 @ SY328 @ SY327 )
!= ( k2_group_1 @ SV60 ) ) )
| ( SY328
= ( k3_group_1 @ SV60 @ SY327 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6518]) ).
thf(6597,plain,
! [SV87: $i,SV61: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV61 )
| ~ ( v1_group_1 @ SV61 ) )
| ~ ( v3_group_1 @ SV61 ) )
| ~ ( v4_group_1 @ SV61 ) )
| ~ ( l1_group_1 @ SV61 ) )
| ~ ~ ( v3_struct_0 @ SV87 ) )
| ~ ( v1_group_1 @ SV87 ) ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( r2_group_6 @ SV61 @ SV87 )
| ( r2_group_6 @ SV87 @ SV61 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6519]) ).
thf(6598,plain,
! [SV62: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV62 )
| ~ ( v1_group_1 @ SV62 ) ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV62 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV62 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV62 ) )
= $true )
| ( ( ! [SY330: $i] :
( ~ ( m1_subset_1 @ SY330 @ ( u1_struct_0 @ SV62 ) )
| ( ( k8_funct_2 @ ( u1_struct_0 @ SV62 ) @ ( u1_struct_0 @ SV62 ) @ ( k6_autgroup @ SV62 @ ( k2_group_1 @ SV62 ) ) @ SY330 )
= SY330 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6520]) ).
thf(6599,plain,
! [SV97: $i,SV88: $i,SV63: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV63 )
| ~ ( l1_group_1 @ SV63 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV88 @ ( u1_struct_0 @ SV63 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV97 @ ( u1_struct_0 @ SV63 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k1_group_1 @ SV63 @ SV88 @ SV97 ) @ ( u1_struct_0 @ SV63 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6521]) ).
thf(6600,plain,
! [SV64: $i] :
( ( ( ~ ( v3_struct_0 @ SV64 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV64 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV64 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV64 ) )
= $true )
| ( ( ! [SY333: $i] :
( ~ ( m1_subset_1 @ SY333 @ ( u1_struct_0 @ SV64 ) )
| ( ( k2_group_5 @ SV64 @ SY333 @ SY333 )
= ( k2_group_1 @ SV64 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6522]) ).
thf(6601,plain,
! [SV66: $i] :
( ( ( ~ ( v3_struct_0 @ SV66 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV66 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV66 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV66 ) )
= $true )
| ( ( ! [SY335: $i] :
( ~ ( m1_subset_1 @ SY335 @ ( u1_struct_0 @ SV66 ) )
| ! [SY336: $i] :
( ~ ( m1_subset_1 @ SY336 @ ( u1_struct_0 @ SV66 ) )
| ~ ( r1_group_3 @ SV66 @ SY335 @ SY336 )
| ( r1_group_3 @ SV66 @ SY336 @ SY335 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6523]) ).
thf(6602,plain,
! [SV67: $i] :
( ( ( ~ ( v3_struct_0 @ SV67 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV67 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV67 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV67 ) )
= $true )
| ( ( ! [SY337: $i] :
( ~ ( m1_subset_1 @ SY337 @ ( u1_struct_0 @ SV67 ) )
| ( ( k3_group_1 @ SV67 @ ( k3_group_1 @ SV67 @ SY337 ) )
= SY337 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6524]) ).
thf(6603,plain,
! [SV68: $i] :
( ( ( ~ ( v3_struct_0 @ SV68 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV68 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV68 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV68 ) )
= $true )
| ( ( ! [SY338: $i] :
( ~ ( m1_subset_1 @ SY338 @ ( u1_struct_0 @ SV68 ) )
| ( ( k2_group_3 @ SV68 @ SY338 @ ( k2_group_1 @ SV68 ) )
= SY338 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6525]) ).
thf(6604,plain,
! [SV70: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK14_SY342 @ SV70 ) @ ( u1_struct_0 @ SV70 ) ) )
= $false )
| ( ( ! [SY345: $i] :
( ~ ( m1_subset_1 @ SY345 @ ( u1_struct_0 @ SV70 ) )
| ~ ! [SY346: $i] :
( ~ ( m1_subset_1 @ SY346 @ ( u1_struct_0 @ SV70 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV70 @ SY346 @ SY345 )
!= SY346 )
| ( ( k1_group_1 @ SV70 @ SY345 @ SY346 )
!= SY346 ) )
| ~ ~ ! [SY347: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY347 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ SY346 @ SY347 )
!= SY345 ) )
| ( ( k1_group_1 @ SV70 @ SY347 @ SY346 )
!= SY345 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6528]) ).
thf(6605,plain,
! [SV70: $i] :
( ( ( ! [SY372: $i] :
( ~ ( m1_subset_1 @ SY372 @ ( u1_struct_0 @ SV70 ) )
| ! [SY373: $i] :
( ~ ( m1_subset_1 @ SY373 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ SY372 ) @ SY373 )
= ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( k1_group_1 @ SV70 @ SY372 @ SY373 ) ) ) ) ) )
= $false )
| ( ( ! [SY345: $i] :
( ~ ( m1_subset_1 @ SY345 @ ( u1_struct_0 @ SV70 ) )
| ~ ! [SY346: $i] :
( ~ ( m1_subset_1 @ SY346 @ ( u1_struct_0 @ SV70 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV70 @ SY346 @ SY345 )
!= SY346 )
| ( ( k1_group_1 @ SV70 @ SY345 @ SY346 )
!= SY346 ) )
| ~ ~ ! [SY347: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY347 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ SY346 @ SY347 )
!= SY345 ) )
| ( ( k1_group_1 @ SV70 @ SY347 @ SY346 )
!= SY345 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6528]) ).
thf(6606,plain,
! [SV71: $i] :
( ( ( ~ ( v3_struct_0 @ SV71 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV71 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV71 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV71 ) )
= $true )
| ( ( ! [SY348: $i] :
( ~ ( m1_subset_1 @ SY348 @ ( u1_struct_0 @ SV71 ) )
| ! [SY349: $i] :
( ~ ( m1_subset_1 @ SY349 @ ( u1_struct_0 @ SV71 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SY348 @ SY349 ) @ ( k3_group_1 @ SV71 @ SY349 ) )
!= SY348 )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SY348 @ ( k3_group_1 @ SV71 @ SY349 ) ) @ SY349 )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY349 ) @ SY349 ) @ SY348 )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SY349 @ ( k3_group_1 @ SV71 @ SY349 ) ) @ SY348 )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ SY348 @ ( k1_group_1 @ SV71 @ SY349 @ ( k3_group_1 @ SV71 @ SY349 ) ) )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ SY348 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY349 ) @ SY349 ) )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY349 ) @ ( k1_group_1 @ SV71 @ SY349 @ SY348 ) )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ SY349 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY349 ) @ SY348 ) )
!= SY348 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6529]) ).
thf(6607,plain,
! [SV91: $i,SV72: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV72 )
| ~ ( v1_group_1 @ SV72 ) )
| ~ ( v3_group_1 @ SV72 ) )
| ~ ( v4_group_1 @ SV72 ) )
| ~ ( l1_group_1 @ SV72 ) )
| ~ ~ ( v3_struct_0 @ SV91 ) )
| ~ ( v1_group_1 @ SV91 ) ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV91 ) )
= $true )
| ( ( r2_group_6 @ SV72 @ SV72 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6530]) ).
thf(6608,plain,
! [SV73: $i] :
( ( ( ~ ( v3_struct_0 @ SV73 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV73 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV73 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV73 ) )
= $true )
| ( ( ! [SY351: $i] :
( ~ ( m1_subset_1 @ SY351 @ ( u1_struct_0 @ SV73 ) )
| ~ ( ( ( k2_group_3 @ SV73 @ SY351 @ ( k3_group_1 @ SV73 @ SY351 ) )
!= SY351 )
| ( ( k2_group_3 @ SV73 @ ( k3_group_1 @ SV73 @ SY351 ) @ SY351 )
!= ( k3_group_1 @ SV73 @ SY351 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6531]) ).
thf(6609,plain,
! [SV74: $i] :
( ( ( ~ ( v3_struct_0 @ SV74 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV74 ) )
= $true )
| ( ( ! [SY352: $i] :
( ~ ( m1_subset_1 @ SY352 @ ( u1_struct_0 @ SV74 ) )
| ! [SY353: $i] :
( ~ ( m1_subset_1 @ SY353 @ ( u1_struct_0 @ SV74 ) )
| ! [SY354: $i] :
( ~ ( m1_subset_1 @ SY354 @ ( u1_struct_0 @ SV74 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV74 @ SY352 @ SY353 )
!= SY354 )
| ( SY353
= ( k1_group_1 @ SV74 @ ( k3_group_1 @ SV74 @ SY352 ) @ SY354 ) ) )
| ~ ( ( SY353
!= ( k1_group_1 @ SV74 @ ( k3_group_1 @ SV74 @ SY352 ) @ SY354 ) )
| ( ( k1_group_1 @ SV74 @ SY352 @ SY353 )
= SY354 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6532]) ).
thf(6610,plain,
! [SV75: $i] :
( ( ( ~ ( v3_struct_0 @ SV75 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV75 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV75 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV75 ) )
= $true )
| ( ( ! [SY355: $i] :
( ~ ( m1_subset_1 @ SY355 @ ( u1_struct_0 @ SV75 ) )
| ( ( k3_group_1 @ SV75 @ SY355 )
!= ( k2_group_1 @ SV75 ) )
| ( SY355
= ( k2_group_1 @ SV75 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6533]) ).
thf(6611,plain,
! [SV76: $i] :
( ( ( ~ ( v3_struct_0 @ SV76 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV76 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV76 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV76 ) )
= $true )
| ( ( ~ ( v5_group_1 @ ( k2_group_1 @ SV76 ) @ SV76 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6534]) ).
thf(6612,plain,
! [SV77: $i] :
( ( ( ~ ( v3_struct_0 @ SV77 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV77 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV77 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV77 ) )
= $true )
| ( ( ! [SY356: $i] :
( ~ ( m1_subset_1 @ SY356 @ ( u1_struct_0 @ SV77 ) )
| ! [SY357: $i] :
( ~ ( m1_subset_1 @ SY357 @ ( u1_struct_0 @ SV77 ) )
| ~ ! [SY358: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY358 @ ( u1_struct_0 @ SV77 ) )
| ( ( k1_group_1 @ SV77 @ SY358 @ SY356 )
!= SY357 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6535]) ).
thf(6613,plain,
! [SV78: $i] :
( ( ( l1_group_1 @ SV78 )
= $false )
| ( ( v3_struct_0 @ SV78 )
= $true )
| ( ( v3_group_1 @ SV78 )
= $false )
| ( ( ~ ! [SY359: $i] :
~ ( m1_group_2 @ SY359 @ SV78 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6536]) ).
thf(6614,plain,
! [SV2: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV2 )
| ~ ( v1_group_1 @ SV2 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV2 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV2 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV2 ) )
= $true )
| ( ( ! [SY222: $i] :
( ~ ( m1_subset_1 @ SY222 @ ( u1_struct_0 @ SV2 ) )
| ! [SY223: $i] :
( ~ ( m1_subset_1 @ SY223 @ ( u1_struct_0 @ SV2 ) )
| ( ( k6_autgroup @ SV2 @ ( k1_group_1 @ SV2 @ SY222 @ SY223 ) )
= ( k7_funct_2 @ ( u1_struct_0 @ SV2 ) @ ( u1_struct_0 @ SV2 ) @ ( u1_struct_0 @ SV2 ) @ ( k6_autgroup @ SV2 @ SY222 ) @ ( k6_autgroup @ SV2 @ SY223 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6537]) ).
thf(6615,plain,
! [SV3: $i] :
( ( ( v3_struct_0 @ SV3 )
= $true )
| ( ( ~ ( v3_group_1 @ SV3 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV3 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV3 ) )
= $true )
| ( ( ! [SY224: $i] :
( ~ ( m1_subset_1 @ SY224 @ ( u1_struct_0 @ SV3 ) )
| ! [SY225: $i] :
( ~ ( m1_subset_1 @ SY225 @ ( u1_struct_0 @ SV3 ) )
| ~ ( ( ( k1_group_1 @ SV3 @ SY224 @ SY225 )
= SY224 )
| ( ( k1_group_1 @ SV3 @ SY225 @ SY224 )
= SY224 ) )
| ( SY225
= ( k2_group_1 @ SV3 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6538]) ).
thf(6616,plain,
! [SV4: $i] :
( ( ( v3_struct_0 @ SV4 )
= $true )
| ( ( ~ ( v3_group_1 @ SV4 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV4 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV4 ) )
= $true )
| ( ( ! [SY226: $i] :
( ~ ( m1_group_2 @ SY226 @ SV4 )
| ! [SY227: $i] :
( ~ ( m1_group_2 @ SY227 @ SV4 )
| ( ( k2_group_1 @ SY226 )
= ( k2_group_1 @ SY227 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6539]) ).
thf(6617,plain,
! [SV5: $i] :
( ( ( v3_struct_0 @ SV5 )
= $true )
| ( ( ~ ( v3_group_1 @ SV5 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV5 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV5 ) )
= $true )
| ( ( ! [SY228: $i] :
( ~ ( m1_subset_1 @ SY228 @ ( u1_struct_0 @ SV5 ) )
| ! [SY229: $i] :
( ~ ( m1_subset_1 @ SY229 @ ( u1_struct_0 @ SV5 ) )
| ~ ( ( ( k2_group_3 @ SV5 @ ( k2_group_3 @ SV5 @ SY228 @ SY229 ) @ ( k3_group_1 @ SV5 @ SY229 ) )
!= SY228 )
| ( ( k2_group_3 @ SV5 @ ( k2_group_3 @ SV5 @ SY228 @ ( k3_group_1 @ SV5 @ SY229 ) ) @ SY229 )
!= SY228 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6540]) ).
thf(6618,plain,
! [SV6: $i] :
( ( ( v3_struct_0 @ SV6 )
= $true )
| ( ( ~ ( v3_group_1 @ SV6 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV6 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV6 ) )
= $true )
| ( ( ! [SY230: $i] :
( ~ ( m1_subset_1 @ SY230 @ ( u1_struct_0 @ SV6 ) )
| ( ( k2_group_3 @ SV6 @ ( k2_group_1 @ SV6 ) @ SY230 )
= ( k2_group_1 @ SV6 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6541]) ).
thf(6619,plain,
! [SV7: $i] :
( ( ( v3_struct_0 @ SV7 )
= $true )
| ( ( ~ ( v3_group_1 @ SV7 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV7 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV7 ) )
= $true )
| ( ( ! [SY231: $i] :
( ~ ( m1_subset_1 @ SY231 @ ( u1_struct_0 @ SV7 ) )
| ~ ( ( r2_group_3 @ SV7 @ SY231 @ ( k2_group_1 @ SV7 ) )
| ( r2_group_3 @ SV7 @ ( k2_group_1 @ SV7 ) @ SY231 ) )
| ( SY231
= ( k2_group_1 @ SV7 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6542]) ).
thf(6620,plain,
! [SV8: $i] :
( ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( ~ ( v3_group_1 @ SV8 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV8 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV8 ) )
= $true )
| ( ( ! [SY232: $i] :
( ~ ( m1_subset_1 @ SY232 @ ( u1_struct_0 @ SV8 ) )
| ! [SY233: $i] :
( ~ ( m1_subset_1 @ SY233 @ ( u1_struct_0 @ SV8 ) )
| ! [SY234: $i] :
( ~ ( m1_subset_1 @ SY234 @ ( u1_struct_0 @ SV8 ) )
| ~ ( ( ( k1_group_1 @ SV8 @ SY232 @ SY233 )
= ( k1_group_1 @ SV8 @ SY232 @ SY234 ) )
| ( ( k1_group_1 @ SV8 @ SY233 @ SY232 )
= ( k1_group_1 @ SV8 @ SY234 @ SY232 ) ) )
| ( SY233 = SY234 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6543]) ).
thf(6621,plain,
! [SV10: $i] :
( ( ( v3_struct_0 @ SV10 )
= $true )
| ( ( ~ ( v3_group_1 @ SV10 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV10 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV10 ) )
= $true )
| ( ( ! [SY235: $i] :
( ~ ( m1_subset_1 @ SY235 @ ( u1_struct_0 @ SV10 ) )
| ! [SY236: $i] :
( ~ ( m1_subset_1 @ SY236 @ ( u1_struct_0 @ SV10 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV10 @ SY235 @ SY236 )
!= ( k1_group_1 @ SV10 @ SY236 @ SY235 ) )
| ( ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY235 ) @ ( k3_group_1 @ SV10 @ SY236 ) )
= ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY236 ) @ ( k3_group_1 @ SV10 @ SY235 ) ) ) )
| ~ ( ( ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY235 ) @ ( k3_group_1 @ SV10 @ SY236 ) )
!= ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY236 ) @ ( k3_group_1 @ SV10 @ SY235 ) ) )
| ( ( k1_group_1 @ SV10 @ SY235 @ SY236 )
= ( k1_group_1 @ SV10 @ SY236 @ SY235 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6544]) ).
thf(6622,plain,
! [SV11: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV11 )
| ~ ( v1_group_1 @ SV11 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV11 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV11 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV11 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k3_autgroup @ SV11 ) )
| ~ ( v1_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( v3_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( v4_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( l1_group_1 @ ( k3_autgroup @ SV11 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6545]) ).
thf(6623,plain,
! [SV12: $i,SV102: $i] :
( ( ( ~ ( m1_group_2 @ SV102 @ SV12 )
| ! [SY374: $i] :
( ~ ( m1_subset_1 @ SY374 @ ( u1_struct_0 @ SV102 ) )
| ( m1_subset_1 @ SY374 @ ( u1_struct_0 @ SV12 ) ) ) )
= $true )
| ( ( v3_group_1 @ SV12 )
= $false )
| ( ( v3_struct_0 @ SV12 )
= $true )
| ( ( l1_group_1 @ SV12 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6546]) ).
thf(6624,plain,
! [SV13: $i] :
( ( ( v3_struct_0 @ SV13 )
= $true )
| ( ( ~ ( v3_group_1 @ SV13 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV13 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV13 ) )
= $true )
| ( ( ! [SY239: $i] :
( ~ ( m1_subset_1 @ SY239 @ ( u1_struct_0 @ SV13 ) )
| ! [SY240: $i] :
( ~ ( m1_subset_1 @ SY240 @ ( u1_struct_0 @ SV13 ) )
| ~ ( ~ ~ ( ( ( k3_group_5 @ SV13 @ SY239 @ SY240 @ ( k2_group_1 @ SV13 ) )
!= ( k2_group_1 @ SV13 ) )
| ( ( k3_group_5 @ SV13 @ SY239 @ ( k2_group_1 @ SV13 ) @ SY240 )
!= ( k2_group_1 @ SV13 ) ) )
| ( ( k3_group_5 @ SV13 @ ( k2_group_1 @ SV13 ) @ SY239 @ SY240 )
!= ( k2_group_1 @ SV13 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6547]) ).
thf(6625,plain,
! [SV15: $i] :
( ( ( v3_struct_0 @ SV15 )
= $true )
| ( ( ~ ( v3_group_1 @ SV15 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV15 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV15 ) )
= $true )
| ( ( ! [SY241: $i] :
( ~ ( m1_subset_1 @ SY241 @ ( u1_struct_0 @ SV15 ) )
| ! [SY242: $i] :
( ~ ( m1_subset_1 @ SY242 @ ( u1_struct_0 @ SV15 ) )
| ( ( k2_group_3 @ SV15 @ ( k3_group_1 @ SV15 @ SY241 ) @ SY242 )
= ( k3_group_1 @ SV15 @ ( k2_group_3 @ SV15 @ SY241 @ SY242 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6548]) ).
thf(6626,plain,
! [SV16: $i] :
( ( ( v3_group_1 @ SV16 )
= $false )
| ( ( ~ ! [SY243: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY243 @ ( u1_struct_0 @ SV16 ) )
| ~ ! [SY244: $i] :
( ~ ( m1_subset_1 @ SY244 @ ( u1_struct_0 @ SV16 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV16 @ SY244 @ SY243 )
!= SY244 )
| ( ( k1_group_1 @ SV16 @ SY243 @ SY244 )
!= SY244 ) )
| ~ ~ ! [SY245: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY245 @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ SY244 @ SY245 )
!= SY243 ) )
| ( ( k1_group_1 @ SV16 @ SY245 @ SY244 )
!= SY243 ) ) ) ) ) )
= $true )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6549]) ).
thf(6627,plain,
! [SV16: $i] :
( ( ( ~ ! [SY246: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY246 @ ( u1_struct_0 @ SV16 ) )
| ~ ! [SY247: $i] :
( ~ ( m1_subset_1 @ SY247 @ ( u1_struct_0 @ SV16 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV16 @ SY247 @ SY246 )
!= SY247 )
| ( ( k1_group_1 @ SV16 @ SY246 @ SY247 )
!= SY247 ) )
| ~ ~ ! [SY248: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY248 @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ SY247 @ SY248 )
!= SY246 ) )
| ( ( k1_group_1 @ SV16 @ SY248 @ SY247 )
!= SY246 ) ) ) ) ) )
= $false )
| ( ( v3_group_1 @ SV16 )
= $true )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6550]) ).
thf(6628,plain,
! [SV17: $i] :
( ( ( v3_struct_0 @ SV17 )
= $true )
| ( ( ~ ( v3_group_1 @ SV17 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV17 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV17 ) )
= $true )
| ( ( ! [SY249: $i] :
( ~ ( m1_subset_1 @ SY249 @ ( u1_struct_0 @ SV17 ) )
| ! [SY250: $i] :
( ~ ( m1_subset_1 @ SY250 @ ( u1_struct_0 @ SV17 ) )
| ( ( k2_group_3 @ SV17 @ SY249 @ SY250 )
!= ( k2_group_1 @ SV17 ) )
| ( SY249
= ( k2_group_1 @ SV17 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6551]) ).
thf(6629,plain,
! [SV18: $i] :
( ( ( v3_struct_0 @ SV18 )
= $true )
| ( ( ~ ( v3_group_1 @ SV18 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV18 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV18 ) )
= $true )
| ( ( ! [SY251: $i] :
( ~ ( m1_subset_1 @ SY251 @ ( u1_struct_0 @ SV18 ) )
| ( r1_group_3 @ SV18 @ SY251 @ SY251 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6552]) ).
thf(6630,plain,
! [SV92: $i,SV79: $i,SV19: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV19 )
| ~ ( v3_group_1 @ SV19 ) )
| ~ ( v4_group_1 @ SV19 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV19 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV79 @ ( u1_struct_0 @ SV19 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV92 @ ( u1_struct_0 @ SV19 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k2_group_3 @ SV19 @ SV79 @ SV92 ) @ ( u1_struct_0 @ SV19 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6553]) ).
thf(6631,plain,
! [SV21: $i] :
( ( ( v3_struct_0 @ SV21 )
= $true )
| ( ( ~ ( v3_group_1 @ SV21 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV21 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV21 ) )
= $true )
| ( ( ! [SY254: $i] :
( ~ ( m1_subset_1 @ SY254 @ ( u1_struct_0 @ SV21 ) )
| ! [SY255: $i] :
( ~ ( m1_subset_1 @ SY255 @ ( u1_struct_0 @ SV21 ) )
| ! [SY256: $i] :
( ~ ( m1_subset_1 @ SY256 @ ( u1_struct_0 @ SV21 ) )
| ~ ~ ( ~ ( r2_group_3 @ SV21 @ SY254 @ SY255 )
| ~ ( r2_group_3 @ SV21 @ SY255 @ SY256 ) )
| ( r2_group_3 @ SV21 @ SY254 @ SY256 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6554]) ).
thf(6632,plain,
! [SV22: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV22 )
| ~ ( v1_group_1 @ SV22 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV22 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV22 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV22 ) )
= $true )
| ( ( ! [SY257: $i] :
( ~ ~ ( ~ ( v1_group_1 @ SY257 )
| ~ ( m1_group_2 @ SY257 @ SV22 ) )
| ( ( u1_struct_0 @ SY257 )
!= ( u1_struct_0 @ SV22 ) )
| ( SY257 = SV22 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6555]) ).
thf(6633,plain,
! [SV23: $i] :
( ( ( v3_struct_0 @ SV23 )
= $true )
| ( ( ~ ( v3_group_1 @ SV23 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV23 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV23 ) )
= $true )
| ( ( ! [SY258: $i] :
( ~ ( m1_subset_1 @ SY258 @ ( u1_struct_0 @ SV23 ) )
| ! [SY259: $i] :
( ~ ( m1_subset_1 @ SY259 @ ( u1_struct_0 @ SV23 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV23 @ SY258 @ SY259 )
!= ( k1_group_1 @ SV23 @ SY259 @ SY258 ) )
| ( ( k3_group_1 @ SV23 @ ( k1_group_1 @ SV23 @ SY258 @ SY259 ) )
= ( k1_group_1 @ SV23 @ ( k3_group_1 @ SV23 @ SY258 ) @ ( k3_group_1 @ SV23 @ SY259 ) ) ) )
| ~ ( ( ( k3_group_1 @ SV23 @ ( k1_group_1 @ SV23 @ SY258 @ SY259 ) )
!= ( k1_group_1 @ SV23 @ ( k3_group_1 @ SV23 @ SY258 ) @ ( k3_group_1 @ SV23 @ SY259 ) ) )
| ( ( k1_group_1 @ SV23 @ SY258 @ SY259 )
= ( k1_group_1 @ SV23 @ SY259 @ SY258 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6556]) ).
thf(6634,plain,
! [SV24: $i] :
( ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( ~ ( v3_group_1 @ SV24 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV24 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV24 ) )
= $true )
| ( ( ! [SY260: $i] :
( ~ ( m1_subset_1 @ SY260 @ ( u1_struct_0 @ SV24 ) )
| ~ ( ( ( k2_group_5 @ SV24 @ ( k2_group_1 @ SV24 ) @ SY260 )
!= ( k2_group_1 @ SV24 ) )
| ( ( k2_group_5 @ SV24 @ SY260 @ ( k2_group_1 @ SV24 ) )
!= ( k2_group_1 @ SV24 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6557]) ).
thf(6635,plain,
! [SV25: $i] :
( ( ( v3_struct_0 @ SV25 )
= $true )
| ( ( ~ ( v3_group_1 @ SV25 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV25 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV25 ) )
= $true )
| ( ( m1_group_2 @ SV25 @ SV25 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6558]) ).
thf(6636,plain,
! [SV26: $i] :
( ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( ~ ( v3_group_1 @ SV26 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV26 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV26 ) )
= $true )
| ( ( ! [SY261: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY261 )
| ~ ( v3_group_1 @ SY261 ) )
| ~ ( v4_group_1 @ SY261 ) )
| ~ ( l1_group_1 @ SY261 ) )
| ! [SY262: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY262 )
| ~ ( v3_group_1 @ SY262 ) )
| ~ ( v4_group_1 @ SY262 ) )
| ~ ( l1_group_1 @ SY262 ) )
| ~ ~ ( ~ ( m1_group_2 @ SV26 @ SY261 )
| ~ ( m1_group_2 @ SY261 @ SY262 ) )
| ( m1_group_2 @ SV26 @ SY262 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6559]) ).
thf(6637,plain,
! [SV28: $i] :
( ( ( ! [SY265: $i] :
( ~ ( m1_subset_1 @ SY265 @ ( u1_struct_0 @ SV28 ) )
| ! [SY266: $i] :
( ~ ( m1_subset_1 @ SY266 @ ( u1_struct_0 @ SV28 ) )
| ! [SY267: $i] :
( ~ ( m1_subset_1 @ SY267 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ ( k1_group_1 @ SV28 @ SY265 @ SY266 ) @ SY267 )
= ( k1_group_1 @ SV28 @ SY265 @ ( k1_group_1 @ SV28 @ SY266 @ SY267 ) ) ) ) ) ) )
= $false )
| ( ( ~ ! [SY268: $i] :
( ~ ( m1_subset_1 @ SY268 @ ( u1_struct_0 @ SV28 ) )
| ! [SY269: $i] :
( ~ ( m1_subset_1 @ SY269 @ ( u1_struct_0 @ SV28 ) )
| ~ ( ~ ~ ! [SY270: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY270 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY268 @ SY270 )
!= SY269 ) )
| ~ ~ ! [SY271: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY271 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY271 @ SY268 )
!= SY269 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6560]) ).
thf(6638,plain,
! [SV93: $i,SV81: $i,SV29: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV29 )
| ~ ( v3_group_1 @ SV29 ) )
| ~ ( v4_group_1 @ SV29 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV29 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV81 @ ( u1_struct_0 @ SV29 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV93 @ ( u1_struct_0 @ SV29 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k2_group_5 @ SV29 @ SV81 @ SV93 ) @ ( u1_struct_0 @ SV29 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6561]) ).
thf(6639,plain,
! [SV94: $i,SV82: $i,SV30: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV30 )
| ~ ( v3_group_1 @ SV30 ) )
| ~ ( v4_group_1 @ SV30 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV30 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV82 @ ( u1_struct_0 @ SV30 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV94 @ ( u1_struct_0 @ SV30 ) ) )
= $true )
| ( ( r2_group_3 @ SV30 @ SV82 @ SV82 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6562]) ).
thf(6640,plain,
! [SV31: $i] :
( ( ( v3_struct_0 @ SV31 )
= $true )
| ( ( ~ ( v3_group_1 @ SV31 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV31 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV31 ) )
= $true )
| ( ( ! [SY276: $i] :
( ~ ( m1_subset_1 @ SY276 @ ( u1_struct_0 @ SV31 ) )
| ! [SY277: $i] :
( ~ ( m1_subset_1 @ SY277 @ ( u1_struct_0 @ SV31 ) )
| ( ( k3_group_1 @ SV31 @ SY276 )
!= ( k3_group_1 @ SV31 @ SY277 ) )
| ( SY276 = SY277 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6563]) ).
thf(6641,plain,
! [SV32: $i] :
( ( ( v3_struct_0 @ SV32 )
= $true )
| ( ( ~ ( v3_group_1 @ SV32 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV32 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV32 ) )
= $true )
| ( ( ! [SY278: $i] :
( ~ ( m1_subset_1 @ SY278 @ ( u1_struct_0 @ SV32 ) )
| ~ ( ( ( k2_group_5 @ SV32 @ SY278 @ ( k3_group_1 @ SV32 @ SY278 ) )
!= ( k2_group_1 @ SV32 ) )
| ( ( k2_group_5 @ SV32 @ ( k3_group_1 @ SV32 @ SY278 ) @ SY278 )
!= ( k2_group_1 @ SV32 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6564]) ).
thf(6642,plain,
! [SV33: $i] :
( ( ( v3_struct_0 @ SV33 )
= $true )
| ( ( ~ ( v3_group_1 @ SV33 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV33 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV33 ) )
= $true )
| ( ( ! [SY279: $i] :
( ~ ( m1_subset_1 @ SY279 @ ( u1_struct_0 @ SV33 ) )
| ! [SY280: $i] :
( ~ ( m1_subset_1 @ SY280 @ ( u1_struct_0 @ SV33 ) )
| ! [SY281: $i] :
( ~ ( m1_subset_1 @ SY281 @ ( u1_struct_0 @ SV33 ) )
| ( ( k2_group_3 @ SV33 @ SY279 @ SY280 )
!= ( k2_group_3 @ SV33 @ SY281 @ SY280 ) )
| ( SY279 = SY281 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6565]) ).
thf(6643,plain,
! [SV34: $i] :
( ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( ~ ( v3_group_1 @ SV34 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV34 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV34 ) )
= $true )
| ( ( ! [SY282: $i] :
( ~ ( m1_subset_1 @ SY282 @ ( u1_struct_0 @ SV34 ) )
| ! [SY283: $i] :
( ~ ( m1_subset_1 @ SY283 @ ( u1_struct_0 @ SV34 ) )
| ~ ( ( ( k1_group_1 @ SV34 @ SY282 @ SY283 )
= ( k2_group_1 @ SV34 ) )
| ( ( k1_group_1 @ SV34 @ SY283 @ SY282 )
= ( k2_group_1 @ SV34 ) ) )
| ~ ( ( SY282
!= ( k3_group_1 @ SV34 @ SY283 ) )
| ( SY283
!= ( k3_group_1 @ SV34 @ SY282 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6566]) ).
thf(6644,plain,
! [SV83: $i,SV35: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV35 )
| ~ ( v3_group_1 @ SV35 ) )
| ~ ( v4_group_1 @ SV35 ) )
| ~ ( l1_group_1 @ SV35 ) )
| ~ ~ ( v3_struct_0 @ SV83 ) ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV83 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV83 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV83 ) )
= $true )
| ( ( r1_group_6 @ SV35 @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6567]) ).
thf(6645,plain,
! [SV36: $i] :
( ( ( v3_struct_0 @ SV36 )
= $true )
| ( ( ~ ( v3_group_1 @ SV36 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV36 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV36 ) )
= $true )
| ( ( ! [SY285: $i] :
( ~ ( m1_subset_1 @ SY285 @ ( u1_struct_0 @ SV36 ) )
| ! [SY286: $i] :
( ~ ( m1_subset_1 @ SY286 @ ( u1_struct_0 @ SV36 ) )
| ! [SY287: $i] :
( ~ ( m1_subset_1 @ SY287 @ ( u1_struct_0 @ SV36 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV36 @ SY285 @ SY286 )
!= SY287 )
| ( SY285
= ( k1_group_1 @ SV36 @ SY287 @ ( k3_group_1 @ SV36 @ SY286 ) ) ) )
| ~ ( ( SY285
!= ( k1_group_1 @ SV36 @ SY287 @ ( k3_group_1 @ SV36 @ SY286 ) ) )
| ( ( k1_group_1 @ SV36 @ SY285 @ SY286 )
= SY287 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6568]) ).
thf(6646,plain,
! [SV37: $i] :
( ( ( v3_struct_0 @ SV37 )
= $true )
| ( ( ~ ( v3_group_1 @ SV37 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV37 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV37 ) )
= $true )
| ( ( ! [SY288: $i] :
( ~ ( m1_group_2 @ SY288 @ SV37 )
| ( v4_group_1 @ SY288 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6569]) ).
thf(6647,plain,
( ( v3_struct_0 @ sK5_SX0 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6571]) ).
thf(6648,plain,
! [SV38: $i,SV103: $i] :
( ( ( ~ ( m1_group_2 @ SV103 @ SV38 )
| ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV103 )
| ~ ( v3_group_1 @ SV103 ) )
| ~ ( l1_group_1 @ SV103 ) ) )
= $true )
| ( ( v3_group_1 @ SV38 )
= $false )
| ( ( v3_struct_0 @ SV38 )
= $true )
| ( ( l1_group_1 @ SV38 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6572]) ).
thf(6649,plain,
! [SV40: $i] :
( ( ( ~ ( v3_struct_0 @ SV40 ) )
= $true )
| ( ( v3_struct_0 @ SV40 )
= $true )
| ( ( v3_group_1 @ SV40 )
= $false )
| ( ( l1_group_1 @ SV40 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6573]) ).
thf(6650,plain,
! [SV40: $i] :
( ( ( v2_group_1 @ SV40 )
= $true )
| ( ( v3_struct_0 @ SV40 )
= $true )
| ( ( v3_group_1 @ SV40 )
= $false )
| ( ( l1_group_1 @ SV40 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6574]) ).
thf(6651,plain,
! [SV41: $i] :
( ( ( v3_struct_0 @ SV41 )
= $true )
| ( ( ~ ( v3_group_1 @ SV41 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV41 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV41 ) )
= $true )
| ( ( ! [SY291: $i] :
( ~ ( m1_subset_1 @ SY291 @ ( u1_struct_0 @ SV41 ) )
| ! [SY292: $i] :
( ~ ( m1_subset_1 @ SY292 @ ( u1_struct_0 @ SV41 ) )
| ( ( k3_group_1 @ SV41 @ ( k2_group_5 @ SV41 @ SY291 @ SY292 ) )
= ( k2_group_5 @ SV41 @ SY292 @ SY291 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6575]) ).
thf(6652,plain,
! [SV42: $i] :
( ( ( v3_struct_0 @ SV42 )
= $true )
| ( ( ~ ( v3_group_1 @ SV42 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV42 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV42 ) )
= $true )
| ( ( ! [SY293: $i] :
( ~ ( m1_subset_1 @ SY293 @ ( u1_struct_0 @ SV42 ) )
| ! [SY294: $i] :
( ~ ( m1_subset_1 @ SY294 @ ( u1_struct_0 @ SV42 ) )
| ( ( k3_group_5 @ SV42 @ SY293 @ SY293 @ SY294 )
= ( k2_group_1 @ SV42 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6576]) ).
thf(6653,plain,
! [SV43: $i,SV104: $i] :
( ( ( ~ ( m1_subset_1 @ SV104 @ ( u1_struct_0 @ SV43 ) )
| ~ ! [SY375: $i] :
( ~ ( m1_subset_1 @ SY375 @ ( u1_struct_0 @ SV43 ) )
| ~ ( ( ( k1_group_1 @ SV43 @ SY375 @ SV104 )
!= SY375 )
| ( ( k1_group_1 @ SV43 @ SV104 @ SY375 )
!= SY375 ) ) )
| ( SV104
= ( k2_group_1 @ SV43 ) ) )
= $true )
| ( ( v3_group_1 @ SV43 )
= $false )
| ( ( v3_struct_0 @ SV43 )
= $true )
| ( ( l1_group_1 @ SV43 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6577]) ).
thf(6654,plain,
( ( ~ ~ ( ~ ( l1_group_1 @ sK6_SX0 )
| ~ ~ ( v3_struct_0 @ sK6_SX0 ) )
| ~ ( v1_group_1 @ sK6_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6578]) ).
thf(6655,plain,
! [SV44: $i] :
( ( ( v4_group_1 @ SV44 )
= $false )
| ( ( ! [SY297: $i] :
( ~ ( m1_subset_1 @ SY297 @ ( u1_struct_0 @ SV44 ) )
| ! [SY298: $i] :
( ~ ( m1_subset_1 @ SY298 @ ( u1_struct_0 @ SV44 ) )
| ! [SY299: $i] :
( ~ ( m1_subset_1 @ SY299 @ ( u1_struct_0 @ SV44 ) )
| ( ( k1_group_1 @ SV44 @ ( k1_group_1 @ SV44 @ SY297 @ SY298 ) @ SY299 )
= ( k1_group_1 @ SV44 @ SY297 @ ( k1_group_1 @ SV44 @ SY298 @ SY299 ) ) ) ) ) ) )
= $true )
| ( ( v3_struct_0 @ SV44 )
= $true )
| ( ( l1_group_1 @ SV44 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6580]) ).
thf(6656,plain,
! [SV44: $i] :
( ( ( ! [SY300: $i] :
( ~ ( m1_subset_1 @ SY300 @ ( u1_struct_0 @ SV44 ) )
| ! [SY301: $i] :
( ~ ( m1_subset_1 @ SY301 @ ( u1_struct_0 @ SV44 ) )
| ! [SY302: $i] :
( ~ ( m1_subset_1 @ SY302 @ ( u1_struct_0 @ SV44 ) )
| ( ( k1_group_1 @ SV44 @ ( k1_group_1 @ SV44 @ SY300 @ SY301 ) @ SY302 )
= ( k1_group_1 @ SV44 @ SY300 @ ( k1_group_1 @ SV44 @ SY301 @ SY302 ) ) ) ) ) ) )
= $false )
| ( ( v4_group_1 @ SV44 )
= $true )
| ( ( v3_struct_0 @ SV44 )
= $true )
| ( ( l1_group_1 @ SV44 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6581]) ).
thf(6657,plain,
! [SV45: $i] :
( ( ( v3_struct_0 @ SV45 )
= $true )
| ( ( ~ ( v3_group_1 @ SV45 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV45 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV45 ) )
= $true )
| ( ( ! [SY303: $i] :
( ~ ( m1_subset_1 @ SY303 @ ( u1_struct_0 @ SV45 ) )
| ! [SY304: $i] :
( ~ ( m1_subset_1 @ SY304 @ ( u1_struct_0 @ SV45 ) )
| ( ( k3_group_1 @ SV45 @ ( k1_group_1 @ SV45 @ SY303 @ SY304 ) )
= ( k1_group_1 @ SV45 @ ( k3_group_1 @ SV45 @ SY304 ) @ ( k3_group_1 @ SV45 @ SY303 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6582]) ).
thf(6658,plain,
! [SV46: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV46 )
| ~ ( v1_group_1 @ SV46 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV46 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV46 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV46 ) )
= $true )
| ( ( ( k6_autgroup @ SV46 @ ( k2_group_1 @ SV46 ) )
= ( k6_partfun1 @ ( u1_struct_0 @ SV46 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6583]) ).
thf(6659,plain,
! [SV98: $i,SV95: $i,SV84: $i,SV47: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV47 )
| ~ ( v3_group_1 @ SV47 ) )
| ~ ( v4_group_1 @ SV47 ) )
| ~ ( l1_group_1 @ SV47 ) )
| ~ ( m1_subset_1 @ SV84 @ ( u1_struct_0 @ SV47 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV95 @ ( u1_struct_0 @ SV47 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV98 @ ( u1_struct_0 @ SV47 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k3_group_5 @ SV47 @ SV84 @ SV95 @ SV98 ) @ ( u1_struct_0 @ SV47 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6584]) ).
thf(6660,plain,
! [SV48: $i] :
( ( ( v3_struct_0 @ SV48 )
= $true )
| ( ( ~ ( v3_group_1 @ SV48 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV48 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV48 ) )
= $true )
| ( ( ! [SY308: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY308 )
| ~ ( v3_group_1 @ SY308 ) )
| ~ ( v4_group_1 @ SY308 ) )
| ~ ( l1_group_1 @ SY308 ) )
| ! [SY309: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY309 )
| ~ ( v3_group_1 @ SY309 ) )
| ~ ( v4_group_1 @ SY309 ) )
| ~ ( l1_group_1 @ SY309 ) )
| ~ ~ ( ~ ( r1_group_6 @ SV48 @ SY308 )
| ~ ( r1_group_6 @ SY308 @ SY309 ) )
| ( r1_group_6 @ SV48 @ SY309 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6585]) ).
thf(6661,plain,
! [SV85: $i,SV49: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV49 )
| ~ ( v3_group_1 @ SV49 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV49 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV49 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV85 @ ( u1_struct_0 @ SV49 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k3_group_1 @ SV49 @ SV85 ) @ ( u1_struct_0 @ SV49 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6586]) ).
thf(6662,plain,
! [SV50: $i] :
( ( ( v3_struct_0 @ SV50 )
= $true )
| ( ( ~ ( v3_group_1 @ SV50 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV50 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV50 ) )
= $true )
| ( ( ( k3_group_1 @ SV50 @ ( k2_group_1 @ SV50 ) )
= ( k2_group_1 @ SV50 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6587]) ).
thf(6663,plain,
! [SV96: $i,SV86: $i,SV51: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV51 )
| ~ ( v3_group_1 @ SV51 ) )
| ~ ( v4_group_1 @ SV51 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV51 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV86 @ ( u1_struct_0 @ SV51 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV96 @ ( u1_struct_0 @ SV51 ) ) )
= $true )
| ( ( ~ ( r2_group_3 @ SV51 @ SV86 @ SV96 )
| ( r2_group_3 @ SV51 @ SV96 @ SV86 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6588]) ).
thf(6664,plain,
! [SV52: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV52 )
| ~ ( v1_group_1 @ SV52 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV52 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV52 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV52 ) )
= $true )
| ( ( ! [SY313: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY313 )
| ~ ( v1_group_1 @ SY313 ) )
| ~ ( v3_group_1 @ SY313 ) )
| ~ ( v4_group_1 @ SY313 ) )
| ~ ( l1_group_1 @ SY313 ) )
| ~ ( r1_group_6 @ SV52 @ SY313 )
| ( r1_group_6 @ SY313 @ SV52 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6589]) ).
thf(6665,plain,
! [SV53: $i] :
( ( ( v3_struct_0 @ SV53 )
= $true )
| ( ( ~ ( v3_group_1 @ SV53 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV53 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV53 ) )
= $true )
| ( ( ! [SY314: $i] :
( ~ ( m1_group_2 @ SY314 @ SV53 )
| ( ( k2_group_1 @ SY314 )
= ( k2_group_1 @ SV53 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6590]) ).
thf(6666,plain,
! [SV54: $i] :
( ( ( v3_struct_0 @ SV54 )
= $true )
| ( ( ~ ( v3_group_1 @ SV54 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV54 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV54 ) )
= $true )
| ( ( ! [SY315: $i] :
( ~ ( m1_subset_1 @ SY315 @ ( u1_struct_0 @ SV54 ) )
| ! [SY316: $i] :
( ~ ( m1_subset_1 @ SY316 @ ( u1_struct_0 @ SV54 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV54 @ SY315 @ SY316 )
!= ( k1_group_1 @ SV54 @ SY316 @ SY315 ) )
| ( ( k1_group_1 @ SV54 @ SY315 @ ( k3_group_1 @ SV54 @ SY316 ) )
= ( k1_group_1 @ SV54 @ ( k3_group_1 @ SV54 @ SY316 ) @ SY315 ) ) )
| ~ ( ( ( k1_group_1 @ SV54 @ SY315 @ ( k3_group_1 @ SV54 @ SY316 ) )
!= ( k1_group_1 @ SV54 @ ( k3_group_1 @ SV54 @ SY316 ) @ SY315 ) )
| ( ( k1_group_1 @ SV54 @ SY315 @ SY316 )
= ( k1_group_1 @ SV54 @ SY316 @ SY315 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6591]) ).
thf(6667,plain,
! [SV55: $i] :
( ( ( v3_struct_0 @ SV55 )
= $true )
| ( ( ~ ( v3_group_1 @ SV55 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV55 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV55 ) )
= $true )
| ( ( ! [SY317: $i] :
( ~ ( m1_subset_1 @ SY317 @ ( u1_struct_0 @ SV55 ) )
| ! [SY318: $i] :
( ~ ( m1_group_2 @ SY318 @ SV55 )
| ! [SY319: $i] :
( ~ ( m1_subset_1 @ SY319 @ ( u1_struct_0 @ SY318 ) )
| ( SY319 != SY317 )
| ( ( k3_group_1 @ SY318 @ SY319 )
= ( k3_group_1 @ SV55 @ SY317 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6592]) ).
thf(6668,plain,
! [SV56: $i] :
( ( ( v3_struct_0 @ SV56 )
= $true )
| ( ( ~ ( v3_group_1 @ SV56 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV56 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV56 ) )
= $true )
| ( ( ! [SY320: $i] :
( ~ ( m1_subset_1 @ SY320 @ ( u1_struct_0 @ SV56 ) )
| ! [SY321: $i] :
( ~ ( m1_subset_1 @ SY321 @ ( u1_struct_0 @ SV56 ) )
| ~ ~ ( ( ( k1_group_1 @ SV56 @ SY320 @ SY321 )
!= ( k2_group_1 @ SV56 ) )
| ( ( k1_group_1 @ SV56 @ SY321 @ SY320 )
!= ( k2_group_1 @ SV56 ) ) )
| ( SY321
= ( k3_group_1 @ SV56 @ SY320 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6593]) ).
thf(6669,plain,
! [SV57: $i] :
( ( ( v3_struct_0 @ SV57 )
= $true )
| ( ( ~ ( v3_group_1 @ SV57 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV57 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV57 ) )
= $true )
| ( ( ! [SY322: $i] :
( ~ ( m1_subset_1 @ SY322 @ ( u1_struct_0 @ SV57 ) )
| ( ( k2_group_3 @ SV57 @ SY322 @ SY322 )
= SY322 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6594]) ).
thf(6670,plain,
! [SV59: $i] :
( ( ( v3_struct_0 @ SV59 )
= $true )
| ( ( ~ ( v3_group_1 @ SV59 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV59 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV59 ) )
= $true )
| ( ( ! [SY324: $i] :
( ~ ( m1_subset_1 @ SY324 @ ( u1_struct_0 @ SV59 ) )
| ! [SY325: $i] :
( ~ ( m1_subset_1 @ SY325 @ ( u1_struct_0 @ SV59 ) )
| ~ ! [SY326: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY326 @ ( u1_struct_0 @ SV59 ) )
| ( ( k1_group_1 @ SV59 @ SY324 @ SY326 )
!= SY325 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6595]) ).
thf(6671,plain,
! [SV60: $i] :
( ( ( v3_struct_0 @ SV60 )
= $true )
| ( ( ~ ( v3_group_1 @ SV60 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV60 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV60 ) )
= $true )
| ( ( ! [SY327: $i] :
( ~ ( m1_subset_1 @ SY327 @ ( u1_struct_0 @ SV60 ) )
| ! [SY328: $i] :
( ~ ( m1_subset_1 @ SY328 @ ( u1_struct_0 @ SV60 ) )
| ~ ( ~ ( ( SY328
!= ( k3_group_1 @ SV60 @ SY327 ) )
| ~ ( ( ( k1_group_1 @ SV60 @ SY327 @ SY328 )
!= ( k2_group_1 @ SV60 ) )
| ( ( k1_group_1 @ SV60 @ SY328 @ SY327 )
!= ( k2_group_1 @ SV60 ) ) ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV60 @ SY327 @ SY328 )
!= ( k2_group_1 @ SV60 ) )
| ( ( k1_group_1 @ SV60 @ SY328 @ SY327 )
!= ( k2_group_1 @ SV60 ) ) )
| ( SY328
= ( k3_group_1 @ SV60 @ SY327 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6596]) ).
thf(6672,plain,
! [SV87: $i,SV61: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV61 )
| ~ ( v1_group_1 @ SV61 ) )
| ~ ( v3_group_1 @ SV61 ) )
| ~ ( v4_group_1 @ SV61 ) )
| ~ ( l1_group_1 @ SV61 ) )
| ~ ~ ( v3_struct_0 @ SV87 ) )
| ~ ( v1_group_1 @ SV87 ) ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( r2_group_6 @ SV61 @ SV87 )
| ( r2_group_6 @ SV87 @ SV61 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6597]) ).
thf(6673,plain,
! [SV62: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV62 )
| ~ ( v1_group_1 @ SV62 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV62 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV62 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV62 ) )
= $true )
| ( ( ! [SY330: $i] :
( ~ ( m1_subset_1 @ SY330 @ ( u1_struct_0 @ SV62 ) )
| ( ( k8_funct_2 @ ( u1_struct_0 @ SV62 ) @ ( u1_struct_0 @ SV62 ) @ ( k6_autgroup @ SV62 @ ( k2_group_1 @ SV62 ) ) @ SY330 )
= SY330 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6598]) ).
thf(6674,plain,
! [SV97: $i,SV88: $i,SV63: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV63 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV63 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV88 @ ( u1_struct_0 @ SV63 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV97 @ ( u1_struct_0 @ SV63 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k1_group_1 @ SV63 @ SV88 @ SV97 ) @ ( u1_struct_0 @ SV63 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6599]) ).
thf(6675,plain,
! [SV64: $i] :
( ( ( v3_struct_0 @ SV64 )
= $true )
| ( ( ~ ( v3_group_1 @ SV64 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV64 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV64 ) )
= $true )
| ( ( ! [SY333: $i] :
( ~ ( m1_subset_1 @ SY333 @ ( u1_struct_0 @ SV64 ) )
| ( ( k2_group_5 @ SV64 @ SY333 @ SY333 )
= ( k2_group_1 @ SV64 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6600]) ).
thf(6676,plain,
! [SV66: $i] :
( ( ( v3_struct_0 @ SV66 )
= $true )
| ( ( ~ ( v3_group_1 @ SV66 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV66 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV66 ) )
= $true )
| ( ( ! [SY335: $i] :
( ~ ( m1_subset_1 @ SY335 @ ( u1_struct_0 @ SV66 ) )
| ! [SY336: $i] :
( ~ ( m1_subset_1 @ SY336 @ ( u1_struct_0 @ SV66 ) )
| ~ ( r1_group_3 @ SV66 @ SY335 @ SY336 )
| ( r1_group_3 @ SV66 @ SY336 @ SY335 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6601]) ).
thf(6677,plain,
! [SV67: $i] :
( ( ( v3_struct_0 @ SV67 )
= $true )
| ( ( ~ ( v3_group_1 @ SV67 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV67 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV67 ) )
= $true )
| ( ( ! [SY337: $i] :
( ~ ( m1_subset_1 @ SY337 @ ( u1_struct_0 @ SV67 ) )
| ( ( k3_group_1 @ SV67 @ ( k3_group_1 @ SV67 @ SY337 ) )
= SY337 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6602]) ).
thf(6678,plain,
! [SV68: $i] :
( ( ( v3_struct_0 @ SV68 )
= $true )
| ( ( ~ ( v3_group_1 @ SV68 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV68 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV68 ) )
= $true )
| ( ( ! [SY338: $i] :
( ~ ( m1_subset_1 @ SY338 @ ( u1_struct_0 @ SV68 ) )
| ( ( k2_group_3 @ SV68 @ SY338 @ ( k2_group_1 @ SV68 ) )
= SY338 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6603]) ).
thf(6679,plain,
! [SV70: $i] :
( ( ( m1_subset_1 @ ( sK14_SY342 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( ! [SY345: $i] :
( ~ ( m1_subset_1 @ SY345 @ ( u1_struct_0 @ SV70 ) )
| ~ ! [SY346: $i] :
( ~ ( m1_subset_1 @ SY346 @ ( u1_struct_0 @ SV70 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV70 @ SY346 @ SY345 )
!= SY346 )
| ( ( k1_group_1 @ SV70 @ SY345 @ SY346 )
!= SY346 ) )
| ~ ~ ! [SY347: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY347 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ SY346 @ SY347 )
!= SY345 ) )
| ( ( k1_group_1 @ SV70 @ SY347 @ SY346 )
!= SY345 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6604]) ).
thf(6680,plain,
! [SV70: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK15_SY372 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
| ! [SY376: $i] :
( ~ ( m1_subset_1 @ SY376 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( sK15_SY372 @ SV70 ) ) @ SY376 )
= ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( k1_group_1 @ SV70 @ ( sK15_SY372 @ SV70 ) @ SY376 ) ) ) ) )
= $false )
| ( ( ! [SY345: $i] :
( ~ ( m1_subset_1 @ SY345 @ ( u1_struct_0 @ SV70 ) )
| ~ ! [SY346: $i] :
( ~ ( m1_subset_1 @ SY346 @ ( u1_struct_0 @ SV70 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV70 @ SY346 @ SY345 )
!= SY346 )
| ( ( k1_group_1 @ SV70 @ SY345 @ SY346 )
!= SY346 ) )
| ~ ~ ! [SY347: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY347 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ SY346 @ SY347 )
!= SY345 ) )
| ( ( k1_group_1 @ SV70 @ SY347 @ SY346 )
!= SY345 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[6605]) ).
thf(6681,plain,
! [SV71: $i] :
( ( ( v3_struct_0 @ SV71 )
= $true )
| ( ( ~ ( v3_group_1 @ SV71 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV71 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV71 ) )
= $true )
| ( ( ! [SY348: $i] :
( ~ ( m1_subset_1 @ SY348 @ ( u1_struct_0 @ SV71 ) )
| ! [SY349: $i] :
( ~ ( m1_subset_1 @ SY349 @ ( u1_struct_0 @ SV71 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SY348 @ SY349 ) @ ( k3_group_1 @ SV71 @ SY349 ) )
!= SY348 )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SY348 @ ( k3_group_1 @ SV71 @ SY349 ) ) @ SY349 )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY349 ) @ SY349 ) @ SY348 )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SY349 @ ( k3_group_1 @ SV71 @ SY349 ) ) @ SY348 )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ SY348 @ ( k1_group_1 @ SV71 @ SY349 @ ( k3_group_1 @ SV71 @ SY349 ) ) )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ SY348 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY349 ) @ SY349 ) )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY349 ) @ ( k1_group_1 @ SV71 @ SY349 @ SY348 ) )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ SY349 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY349 ) @ SY348 ) )
!= SY348 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6606]) ).
thf(6682,plain,
! [SV91: $i,SV72: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV72 )
| ~ ( v1_group_1 @ SV72 ) )
| ~ ( v3_group_1 @ SV72 ) )
| ~ ( v4_group_1 @ SV72 ) )
| ~ ( l1_group_1 @ SV72 ) )
| ~ ~ ( v3_struct_0 @ SV91 ) )
| ~ ( v1_group_1 @ SV91 ) ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV91 ) )
= $true )
| ( ( r2_group_6 @ SV72 @ SV72 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6607]) ).
thf(6683,plain,
! [SV73: $i] :
( ( ( v3_struct_0 @ SV73 )
= $true )
| ( ( ~ ( v3_group_1 @ SV73 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV73 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV73 ) )
= $true )
| ( ( ! [SY351: $i] :
( ~ ( m1_subset_1 @ SY351 @ ( u1_struct_0 @ SV73 ) )
| ~ ( ( ( k2_group_3 @ SV73 @ SY351 @ ( k3_group_1 @ SV73 @ SY351 ) )
!= SY351 )
| ( ( k2_group_3 @ SV73 @ ( k3_group_1 @ SV73 @ SY351 ) @ SY351 )
!= ( k3_group_1 @ SV73 @ SY351 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6608]) ).
thf(6684,plain,
! [SV74: $i] :
( ( ( v3_struct_0 @ SV74 )
= $true )
| ( ( ~ ( v3_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV74 ) )
= $true )
| ( ( ! [SY352: $i] :
( ~ ( m1_subset_1 @ SY352 @ ( u1_struct_0 @ SV74 ) )
| ! [SY353: $i] :
( ~ ( m1_subset_1 @ SY353 @ ( u1_struct_0 @ SV74 ) )
| ! [SY354: $i] :
( ~ ( m1_subset_1 @ SY354 @ ( u1_struct_0 @ SV74 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV74 @ SY352 @ SY353 )
!= SY354 )
| ( SY353
= ( k1_group_1 @ SV74 @ ( k3_group_1 @ SV74 @ SY352 ) @ SY354 ) ) )
| ~ ( ( SY353
!= ( k1_group_1 @ SV74 @ ( k3_group_1 @ SV74 @ SY352 ) @ SY354 ) )
| ( ( k1_group_1 @ SV74 @ SY352 @ SY353 )
= SY354 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6609]) ).
thf(6685,plain,
! [SV75: $i] :
( ( ( v3_struct_0 @ SV75 )
= $true )
| ( ( ~ ( v3_group_1 @ SV75 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV75 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV75 ) )
= $true )
| ( ( ! [SY355: $i] :
( ~ ( m1_subset_1 @ SY355 @ ( u1_struct_0 @ SV75 ) )
| ( ( k3_group_1 @ SV75 @ SY355 )
!= ( k2_group_1 @ SV75 ) )
| ( SY355
= ( k2_group_1 @ SV75 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6610]) ).
thf(6686,plain,
! [SV76: $i] :
( ( ( v3_struct_0 @ SV76 )
= $true )
| ( ( ~ ( v3_group_1 @ SV76 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV76 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV76 ) )
= $true )
| ( ( ~ ( v5_group_1 @ ( k2_group_1 @ SV76 ) @ SV76 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6611]) ).
thf(6687,plain,
! [SV77: $i] :
( ( ( v3_struct_0 @ SV77 )
= $true )
| ( ( ~ ( v3_group_1 @ SV77 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV77 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV77 ) )
= $true )
| ( ( ! [SY356: $i] :
( ~ ( m1_subset_1 @ SY356 @ ( u1_struct_0 @ SV77 ) )
| ! [SY357: $i] :
( ~ ( m1_subset_1 @ SY357 @ ( u1_struct_0 @ SV77 ) )
| ~ ! [SY358: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY358 @ ( u1_struct_0 @ SV77 ) )
| ( ( k1_group_1 @ SV77 @ SY358 @ SY356 )
!= SY357 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6612]) ).
thf(6688,plain,
! [SV78: $i] :
( ( ( ! [SY359: $i] :
~ ( m1_group_2 @ SY359 @ SV78 ) )
= $false )
| ( ( v3_group_1 @ SV78 )
= $false )
| ( ( v3_struct_0 @ SV78 )
= $true )
| ( ( l1_group_1 @ SV78 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6613]) ).
thf(6689,plain,
! [SV2: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV2 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV2 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV2 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV2 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV2 ) )
= $true )
| ( ( ! [SY222: $i] :
( ~ ( m1_subset_1 @ SY222 @ ( u1_struct_0 @ SV2 ) )
| ! [SY223: $i] :
( ~ ( m1_subset_1 @ SY223 @ ( u1_struct_0 @ SV2 ) )
| ( ( k6_autgroup @ SV2 @ ( k1_group_1 @ SV2 @ SY222 @ SY223 ) )
= ( k7_funct_2 @ ( u1_struct_0 @ SV2 ) @ ( u1_struct_0 @ SV2 ) @ ( u1_struct_0 @ SV2 ) @ ( k6_autgroup @ SV2 @ SY222 ) @ ( k6_autgroup @ SV2 @ SY223 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6614]) ).
thf(6690,plain,
! [SV3: $i] :
( ( ( v3_group_1 @ SV3 )
= $false )
| ( ( v3_struct_0 @ SV3 )
= $true )
| ( ( ~ ( v4_group_1 @ SV3 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV3 ) )
= $true )
| ( ( ! [SY224: $i] :
( ~ ( m1_subset_1 @ SY224 @ ( u1_struct_0 @ SV3 ) )
| ! [SY225: $i] :
( ~ ( m1_subset_1 @ SY225 @ ( u1_struct_0 @ SV3 ) )
| ~ ( ( ( k1_group_1 @ SV3 @ SY224 @ SY225 )
= SY224 )
| ( ( k1_group_1 @ SV3 @ SY225 @ SY224 )
= SY224 ) )
| ( SY225
= ( k2_group_1 @ SV3 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6615]) ).
thf(6691,plain,
! [SV4: $i] :
( ( ( v3_group_1 @ SV4 )
= $false )
| ( ( v3_struct_0 @ SV4 )
= $true )
| ( ( ~ ( v4_group_1 @ SV4 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV4 ) )
= $true )
| ( ( ! [SY226: $i] :
( ~ ( m1_group_2 @ SY226 @ SV4 )
| ! [SY227: $i] :
( ~ ( m1_group_2 @ SY227 @ SV4 )
| ( ( k2_group_1 @ SY226 )
= ( k2_group_1 @ SY227 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6616]) ).
thf(6692,plain,
! [SV5: $i] :
( ( ( v3_group_1 @ SV5 )
= $false )
| ( ( v3_struct_0 @ SV5 )
= $true )
| ( ( ~ ( v4_group_1 @ SV5 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV5 ) )
= $true )
| ( ( ! [SY228: $i] :
( ~ ( m1_subset_1 @ SY228 @ ( u1_struct_0 @ SV5 ) )
| ! [SY229: $i] :
( ~ ( m1_subset_1 @ SY229 @ ( u1_struct_0 @ SV5 ) )
| ~ ( ( ( k2_group_3 @ SV5 @ ( k2_group_3 @ SV5 @ SY228 @ SY229 ) @ ( k3_group_1 @ SV5 @ SY229 ) )
!= SY228 )
| ( ( k2_group_3 @ SV5 @ ( k2_group_3 @ SV5 @ SY228 @ ( k3_group_1 @ SV5 @ SY229 ) ) @ SY229 )
!= SY228 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6617]) ).
thf(6693,plain,
! [SV6: $i] :
( ( ( v3_group_1 @ SV6 )
= $false )
| ( ( v3_struct_0 @ SV6 )
= $true )
| ( ( ~ ( v4_group_1 @ SV6 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV6 ) )
= $true )
| ( ( ! [SY230: $i] :
( ~ ( m1_subset_1 @ SY230 @ ( u1_struct_0 @ SV6 ) )
| ( ( k2_group_3 @ SV6 @ ( k2_group_1 @ SV6 ) @ SY230 )
= ( k2_group_1 @ SV6 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6618]) ).
thf(6694,plain,
! [SV7: $i] :
( ( ( v3_group_1 @ SV7 )
= $false )
| ( ( v3_struct_0 @ SV7 )
= $true )
| ( ( ~ ( v4_group_1 @ SV7 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV7 ) )
= $true )
| ( ( ! [SY231: $i] :
( ~ ( m1_subset_1 @ SY231 @ ( u1_struct_0 @ SV7 ) )
| ~ ( ( r2_group_3 @ SV7 @ SY231 @ ( k2_group_1 @ SV7 ) )
| ( r2_group_3 @ SV7 @ ( k2_group_1 @ SV7 ) @ SY231 ) )
| ( SY231
= ( k2_group_1 @ SV7 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6619]) ).
thf(6695,plain,
! [SV8: $i] :
( ( ( v3_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( ~ ( v4_group_1 @ SV8 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV8 ) )
= $true )
| ( ( ! [SY232: $i] :
( ~ ( m1_subset_1 @ SY232 @ ( u1_struct_0 @ SV8 ) )
| ! [SY233: $i] :
( ~ ( m1_subset_1 @ SY233 @ ( u1_struct_0 @ SV8 ) )
| ! [SY234: $i] :
( ~ ( m1_subset_1 @ SY234 @ ( u1_struct_0 @ SV8 ) )
| ~ ( ( ( k1_group_1 @ SV8 @ SY232 @ SY233 )
= ( k1_group_1 @ SV8 @ SY232 @ SY234 ) )
| ( ( k1_group_1 @ SV8 @ SY233 @ SY232 )
= ( k1_group_1 @ SV8 @ SY234 @ SY232 ) ) )
| ( SY233 = SY234 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6620]) ).
thf(6696,plain,
! [SV10: $i] :
( ( ( v3_group_1 @ SV10 )
= $false )
| ( ( v3_struct_0 @ SV10 )
= $true )
| ( ( ~ ( v4_group_1 @ SV10 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV10 ) )
= $true )
| ( ( ! [SY235: $i] :
( ~ ( m1_subset_1 @ SY235 @ ( u1_struct_0 @ SV10 ) )
| ! [SY236: $i] :
( ~ ( m1_subset_1 @ SY236 @ ( u1_struct_0 @ SV10 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV10 @ SY235 @ SY236 )
!= ( k1_group_1 @ SV10 @ SY236 @ SY235 ) )
| ( ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY235 ) @ ( k3_group_1 @ SV10 @ SY236 ) )
= ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY236 ) @ ( k3_group_1 @ SV10 @ SY235 ) ) ) )
| ~ ( ( ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY235 ) @ ( k3_group_1 @ SV10 @ SY236 ) )
!= ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY236 ) @ ( k3_group_1 @ SV10 @ SY235 ) ) )
| ( ( k1_group_1 @ SV10 @ SY235 @ SY236 )
= ( k1_group_1 @ SV10 @ SY236 @ SY235 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6621]) ).
thf(6697,plain,
! [SV11: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV11 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV11 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV11 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV11 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV11 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k3_autgroup @ SV11 ) )
| ~ ( v1_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( v3_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( v4_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( l1_group_1 @ ( k3_autgroup @ SV11 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6622]) ).
thf(6698,plain,
! [SV12: $i,SV102: $i] :
( ( ( ~ ( m1_group_2 @ SV102 @ SV12 ) )
= $true )
| ( ( ! [SY374: $i] :
( ~ ( m1_subset_1 @ SY374 @ ( u1_struct_0 @ SV102 ) )
| ( m1_subset_1 @ SY374 @ ( u1_struct_0 @ SV12 ) ) ) )
= $true )
| ( ( v3_group_1 @ SV12 )
= $false )
| ( ( v3_struct_0 @ SV12 )
= $true )
| ( ( l1_group_1 @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6623]) ).
thf(6699,plain,
! [SV13: $i] :
( ( ( v3_group_1 @ SV13 )
= $false )
| ( ( v3_struct_0 @ SV13 )
= $true )
| ( ( ~ ( v4_group_1 @ SV13 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV13 ) )
= $true )
| ( ( ! [SY239: $i] :
( ~ ( m1_subset_1 @ SY239 @ ( u1_struct_0 @ SV13 ) )
| ! [SY240: $i] :
( ~ ( m1_subset_1 @ SY240 @ ( u1_struct_0 @ SV13 ) )
| ~ ( ~ ~ ( ( ( k3_group_5 @ SV13 @ SY239 @ SY240 @ ( k2_group_1 @ SV13 ) )
!= ( k2_group_1 @ SV13 ) )
| ( ( k3_group_5 @ SV13 @ SY239 @ ( k2_group_1 @ SV13 ) @ SY240 )
!= ( k2_group_1 @ SV13 ) ) )
| ( ( k3_group_5 @ SV13 @ ( k2_group_1 @ SV13 ) @ SY239 @ SY240 )
!= ( k2_group_1 @ SV13 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6624]) ).
thf(6700,plain,
! [SV15: $i] :
( ( ( v3_group_1 @ SV15 )
= $false )
| ( ( v3_struct_0 @ SV15 )
= $true )
| ( ( ~ ( v4_group_1 @ SV15 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV15 ) )
= $true )
| ( ( ! [SY241: $i] :
( ~ ( m1_subset_1 @ SY241 @ ( u1_struct_0 @ SV15 ) )
| ! [SY242: $i] :
( ~ ( m1_subset_1 @ SY242 @ ( u1_struct_0 @ SV15 ) )
| ( ( k2_group_3 @ SV15 @ ( k3_group_1 @ SV15 @ SY241 ) @ SY242 )
= ( k3_group_1 @ SV15 @ ( k2_group_3 @ SV15 @ SY241 @ SY242 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6625]) ).
thf(6701,plain,
! [SV16: $i] :
( ( ( ! [SY243: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY243 @ ( u1_struct_0 @ SV16 ) )
| ~ ! [SY244: $i] :
( ~ ( m1_subset_1 @ SY244 @ ( u1_struct_0 @ SV16 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV16 @ SY244 @ SY243 )
!= SY244 )
| ( ( k1_group_1 @ SV16 @ SY243 @ SY244 )
!= SY244 ) )
| ~ ~ ! [SY245: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY245 @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ SY244 @ SY245 )
!= SY243 ) )
| ( ( k1_group_1 @ SV16 @ SY245 @ SY244 )
!= SY243 ) ) ) ) ) )
= $false )
| ( ( v3_group_1 @ SV16 )
= $false )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6626]) ).
thf(6702,plain,
! [SV16: $i] :
( ( ( ! [SY246: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY246 @ ( u1_struct_0 @ SV16 ) )
| ~ ! [SY247: $i] :
( ~ ( m1_subset_1 @ SY247 @ ( u1_struct_0 @ SV16 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV16 @ SY247 @ SY246 )
!= SY247 )
| ( ( k1_group_1 @ SV16 @ SY246 @ SY247 )
!= SY247 ) )
| ~ ~ ! [SY248: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY248 @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ SY247 @ SY248 )
!= SY246 ) )
| ( ( k1_group_1 @ SV16 @ SY248 @ SY247 )
!= SY246 ) ) ) ) ) )
= $true )
| ( ( v3_group_1 @ SV16 )
= $true )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6627]) ).
thf(6703,plain,
! [SV17: $i] :
( ( ( v3_group_1 @ SV17 )
= $false )
| ( ( v3_struct_0 @ SV17 )
= $true )
| ( ( ~ ( v4_group_1 @ SV17 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV17 ) )
= $true )
| ( ( ! [SY249: $i] :
( ~ ( m1_subset_1 @ SY249 @ ( u1_struct_0 @ SV17 ) )
| ! [SY250: $i] :
( ~ ( m1_subset_1 @ SY250 @ ( u1_struct_0 @ SV17 ) )
| ( ( k2_group_3 @ SV17 @ SY249 @ SY250 )
!= ( k2_group_1 @ SV17 ) )
| ( SY249
= ( k2_group_1 @ SV17 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6628]) ).
thf(6704,plain,
! [SV18: $i] :
( ( ( v3_group_1 @ SV18 )
= $false )
| ( ( v3_struct_0 @ SV18 )
= $true )
| ( ( ~ ( v4_group_1 @ SV18 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV18 ) )
= $true )
| ( ( ! [SY251: $i] :
( ~ ( m1_subset_1 @ SY251 @ ( u1_struct_0 @ SV18 ) )
| ( r1_group_3 @ SV18 @ SY251 @ SY251 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6629]) ).
thf(6705,plain,
! [SV92: $i,SV79: $i,SV19: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV19 )
| ~ ( v3_group_1 @ SV19 ) )
| ~ ( v4_group_1 @ SV19 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV19 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV79 @ ( u1_struct_0 @ SV19 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV92 @ ( u1_struct_0 @ SV19 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k2_group_3 @ SV19 @ SV79 @ SV92 ) @ ( u1_struct_0 @ SV19 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6630]) ).
thf(6706,plain,
! [SV21: $i] :
( ( ( v3_group_1 @ SV21 )
= $false )
| ( ( v3_struct_0 @ SV21 )
= $true )
| ( ( ~ ( v4_group_1 @ SV21 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV21 ) )
= $true )
| ( ( ! [SY254: $i] :
( ~ ( m1_subset_1 @ SY254 @ ( u1_struct_0 @ SV21 ) )
| ! [SY255: $i] :
( ~ ( m1_subset_1 @ SY255 @ ( u1_struct_0 @ SV21 ) )
| ! [SY256: $i] :
( ~ ( m1_subset_1 @ SY256 @ ( u1_struct_0 @ SV21 ) )
| ~ ~ ( ~ ( r2_group_3 @ SV21 @ SY254 @ SY255 )
| ~ ( r2_group_3 @ SV21 @ SY255 @ SY256 ) )
| ( r2_group_3 @ SV21 @ SY254 @ SY256 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6631]) ).
thf(6707,plain,
! [SV22: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV22 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV22 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV22 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV22 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV22 ) )
= $true )
| ( ( ! [SY257: $i] :
( ~ ~ ( ~ ( v1_group_1 @ SY257 )
| ~ ( m1_group_2 @ SY257 @ SV22 ) )
| ( ( u1_struct_0 @ SY257 )
!= ( u1_struct_0 @ SV22 ) )
| ( SY257 = SV22 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6632]) ).
thf(6708,plain,
! [SV23: $i] :
( ( ( v3_group_1 @ SV23 )
= $false )
| ( ( v3_struct_0 @ SV23 )
= $true )
| ( ( ~ ( v4_group_1 @ SV23 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV23 ) )
= $true )
| ( ( ! [SY258: $i] :
( ~ ( m1_subset_1 @ SY258 @ ( u1_struct_0 @ SV23 ) )
| ! [SY259: $i] :
( ~ ( m1_subset_1 @ SY259 @ ( u1_struct_0 @ SV23 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV23 @ SY258 @ SY259 )
!= ( k1_group_1 @ SV23 @ SY259 @ SY258 ) )
| ( ( k3_group_1 @ SV23 @ ( k1_group_1 @ SV23 @ SY258 @ SY259 ) )
= ( k1_group_1 @ SV23 @ ( k3_group_1 @ SV23 @ SY258 ) @ ( k3_group_1 @ SV23 @ SY259 ) ) ) )
| ~ ( ( ( k3_group_1 @ SV23 @ ( k1_group_1 @ SV23 @ SY258 @ SY259 ) )
!= ( k1_group_1 @ SV23 @ ( k3_group_1 @ SV23 @ SY258 ) @ ( k3_group_1 @ SV23 @ SY259 ) ) )
| ( ( k1_group_1 @ SV23 @ SY258 @ SY259 )
= ( k1_group_1 @ SV23 @ SY259 @ SY258 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6633]) ).
thf(6709,plain,
! [SV24: $i] :
( ( ( v3_group_1 @ SV24 )
= $false )
| ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( ~ ( v4_group_1 @ SV24 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV24 ) )
= $true )
| ( ( ! [SY260: $i] :
( ~ ( m1_subset_1 @ SY260 @ ( u1_struct_0 @ SV24 ) )
| ~ ( ( ( k2_group_5 @ SV24 @ ( k2_group_1 @ SV24 ) @ SY260 )
!= ( k2_group_1 @ SV24 ) )
| ( ( k2_group_5 @ SV24 @ SY260 @ ( k2_group_1 @ SV24 ) )
!= ( k2_group_1 @ SV24 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6634]) ).
thf(6710,plain,
! [SV25: $i] :
( ( ( v3_group_1 @ SV25 )
= $false )
| ( ( v3_struct_0 @ SV25 )
= $true )
| ( ( ~ ( v4_group_1 @ SV25 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV25 ) )
= $true )
| ( ( m1_group_2 @ SV25 @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6635]) ).
thf(6711,plain,
! [SV26: $i] :
( ( ( v3_group_1 @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( ~ ( v4_group_1 @ SV26 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV26 ) )
= $true )
| ( ( ! [SY261: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY261 )
| ~ ( v3_group_1 @ SY261 ) )
| ~ ( v4_group_1 @ SY261 ) )
| ~ ( l1_group_1 @ SY261 ) )
| ! [SY262: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY262 )
| ~ ( v3_group_1 @ SY262 ) )
| ~ ( v4_group_1 @ SY262 ) )
| ~ ( l1_group_1 @ SY262 ) )
| ~ ~ ( ~ ( m1_group_2 @ SV26 @ SY261 )
| ~ ( m1_group_2 @ SY261 @ SY262 ) )
| ( m1_group_2 @ SV26 @ SY262 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6636]) ).
thf(6712,plain,
! [SV28: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK16_SY265 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
| ! [SY377: $i] :
( ~ ( m1_subset_1 @ SY377 @ ( u1_struct_0 @ SV28 ) )
| ! [SY378: $i] :
( ~ ( m1_subset_1 @ SY378 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ SY377 ) @ SY378 )
= ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( k1_group_1 @ SV28 @ SY377 @ SY378 ) ) ) ) ) )
= $false )
| ( ( ~ ! [SY268: $i] :
( ~ ( m1_subset_1 @ SY268 @ ( u1_struct_0 @ SV28 ) )
| ! [SY269: $i] :
( ~ ( m1_subset_1 @ SY269 @ ( u1_struct_0 @ SV28 ) )
| ~ ( ~ ~ ! [SY270: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY270 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY268 @ SY270 )
!= SY269 ) )
| ~ ~ ! [SY271: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY271 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY271 @ SY268 )
!= SY269 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[6637]) ).
thf(6713,plain,
! [SV93: $i,SV81: $i,SV29: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV29 )
| ~ ( v3_group_1 @ SV29 ) )
| ~ ( v4_group_1 @ SV29 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV29 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV81 @ ( u1_struct_0 @ SV29 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV93 @ ( u1_struct_0 @ SV29 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k2_group_5 @ SV29 @ SV81 @ SV93 ) @ ( u1_struct_0 @ SV29 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6638]) ).
thf(6714,plain,
! [SV94: $i,SV82: $i,SV30: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV30 )
| ~ ( v3_group_1 @ SV30 ) )
| ~ ( v4_group_1 @ SV30 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV30 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV82 @ ( u1_struct_0 @ SV30 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV94 @ ( u1_struct_0 @ SV30 ) ) )
= $true )
| ( ( r2_group_3 @ SV30 @ SV82 @ SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6639]) ).
thf(6715,plain,
! [SV31: $i] :
( ( ( v3_group_1 @ SV31 )
= $false )
| ( ( v3_struct_0 @ SV31 )
= $true )
| ( ( ~ ( v4_group_1 @ SV31 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV31 ) )
= $true )
| ( ( ! [SY276: $i] :
( ~ ( m1_subset_1 @ SY276 @ ( u1_struct_0 @ SV31 ) )
| ! [SY277: $i] :
( ~ ( m1_subset_1 @ SY277 @ ( u1_struct_0 @ SV31 ) )
| ( ( k3_group_1 @ SV31 @ SY276 )
!= ( k3_group_1 @ SV31 @ SY277 ) )
| ( SY276 = SY277 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6640]) ).
thf(6716,plain,
! [SV32: $i] :
( ( ( v3_group_1 @ SV32 )
= $false )
| ( ( v3_struct_0 @ SV32 )
= $true )
| ( ( ~ ( v4_group_1 @ SV32 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV32 ) )
= $true )
| ( ( ! [SY278: $i] :
( ~ ( m1_subset_1 @ SY278 @ ( u1_struct_0 @ SV32 ) )
| ~ ( ( ( k2_group_5 @ SV32 @ SY278 @ ( k3_group_1 @ SV32 @ SY278 ) )
!= ( k2_group_1 @ SV32 ) )
| ( ( k2_group_5 @ SV32 @ ( k3_group_1 @ SV32 @ SY278 ) @ SY278 )
!= ( k2_group_1 @ SV32 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6641]) ).
thf(6717,plain,
! [SV33: $i] :
( ( ( v3_group_1 @ SV33 )
= $false )
| ( ( v3_struct_0 @ SV33 )
= $true )
| ( ( ~ ( v4_group_1 @ SV33 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV33 ) )
= $true )
| ( ( ! [SY279: $i] :
( ~ ( m1_subset_1 @ SY279 @ ( u1_struct_0 @ SV33 ) )
| ! [SY280: $i] :
( ~ ( m1_subset_1 @ SY280 @ ( u1_struct_0 @ SV33 ) )
| ! [SY281: $i] :
( ~ ( m1_subset_1 @ SY281 @ ( u1_struct_0 @ SV33 ) )
| ( ( k2_group_3 @ SV33 @ SY279 @ SY280 )
!= ( k2_group_3 @ SV33 @ SY281 @ SY280 ) )
| ( SY279 = SY281 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6642]) ).
thf(6718,plain,
! [SV34: $i] :
( ( ( v3_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( ~ ( v4_group_1 @ SV34 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV34 ) )
= $true )
| ( ( ! [SY282: $i] :
( ~ ( m1_subset_1 @ SY282 @ ( u1_struct_0 @ SV34 ) )
| ! [SY283: $i] :
( ~ ( m1_subset_1 @ SY283 @ ( u1_struct_0 @ SV34 ) )
| ~ ( ( ( k1_group_1 @ SV34 @ SY282 @ SY283 )
= ( k2_group_1 @ SV34 ) )
| ( ( k1_group_1 @ SV34 @ SY283 @ SY282 )
= ( k2_group_1 @ SV34 ) ) )
| ~ ( ( SY282
!= ( k3_group_1 @ SV34 @ SY283 ) )
| ( SY283
!= ( k3_group_1 @ SV34 @ SY282 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6643]) ).
thf(6719,plain,
! [SV83: $i,SV35: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV35 )
| ~ ( v3_group_1 @ SV35 ) )
| ~ ( v4_group_1 @ SV35 ) )
| ~ ( l1_group_1 @ SV35 ) )
| ~ ~ ( v3_struct_0 @ SV83 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV83 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV83 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV83 ) )
= $true )
| ( ( r1_group_6 @ SV35 @ SV35 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6644]) ).
thf(6720,plain,
! [SV36: $i] :
( ( ( v3_group_1 @ SV36 )
= $false )
| ( ( v3_struct_0 @ SV36 )
= $true )
| ( ( ~ ( v4_group_1 @ SV36 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV36 ) )
= $true )
| ( ( ! [SY285: $i] :
( ~ ( m1_subset_1 @ SY285 @ ( u1_struct_0 @ SV36 ) )
| ! [SY286: $i] :
( ~ ( m1_subset_1 @ SY286 @ ( u1_struct_0 @ SV36 ) )
| ! [SY287: $i] :
( ~ ( m1_subset_1 @ SY287 @ ( u1_struct_0 @ SV36 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV36 @ SY285 @ SY286 )
!= SY287 )
| ( SY285
= ( k1_group_1 @ SV36 @ SY287 @ ( k3_group_1 @ SV36 @ SY286 ) ) ) )
| ~ ( ( SY285
!= ( k1_group_1 @ SV36 @ SY287 @ ( k3_group_1 @ SV36 @ SY286 ) ) )
| ( ( k1_group_1 @ SV36 @ SY285 @ SY286 )
= SY287 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6645]) ).
thf(6721,plain,
! [SV37: $i] :
( ( ( v3_group_1 @ SV37 )
= $false )
| ( ( v3_struct_0 @ SV37 )
= $true )
| ( ( ~ ( v4_group_1 @ SV37 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV37 ) )
= $true )
| ( ( ! [SY288: $i] :
( ~ ( m1_group_2 @ SY288 @ SV37 )
| ( v4_group_1 @ SY288 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6646]) ).
thf(6722,plain,
! [SV38: $i,SV103: $i] :
( ( ( ~ ( m1_group_2 @ SV103 @ SV38 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV103 )
| ~ ( v3_group_1 @ SV103 ) )
| ~ ( l1_group_1 @ SV103 ) ) )
= $true )
| ( ( v3_group_1 @ SV38 )
= $false )
| ( ( v3_struct_0 @ SV38 )
= $true )
| ( ( l1_group_1 @ SV38 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6648]) ).
thf(6723,plain,
! [SV40: $i] :
( ( ( v3_struct_0 @ SV40 )
= $false )
| ( ( v3_struct_0 @ SV40 )
= $true )
| ( ( v3_group_1 @ SV40 )
= $false )
| ( ( l1_group_1 @ SV40 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6649]) ).
thf(6724,plain,
! [SV41: $i] :
( ( ( v3_group_1 @ SV41 )
= $false )
| ( ( v3_struct_0 @ SV41 )
= $true )
| ( ( ~ ( v4_group_1 @ SV41 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV41 ) )
= $true )
| ( ( ! [SY291: $i] :
( ~ ( m1_subset_1 @ SY291 @ ( u1_struct_0 @ SV41 ) )
| ! [SY292: $i] :
( ~ ( m1_subset_1 @ SY292 @ ( u1_struct_0 @ SV41 ) )
| ( ( k3_group_1 @ SV41 @ ( k2_group_5 @ SV41 @ SY291 @ SY292 ) )
= ( k2_group_5 @ SV41 @ SY292 @ SY291 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6651]) ).
thf(6725,plain,
! [SV42: $i] :
( ( ( v3_group_1 @ SV42 )
= $false )
| ( ( v3_struct_0 @ SV42 )
= $true )
| ( ( ~ ( v4_group_1 @ SV42 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV42 ) )
= $true )
| ( ( ! [SY293: $i] :
( ~ ( m1_subset_1 @ SY293 @ ( u1_struct_0 @ SV42 ) )
| ! [SY294: $i] :
( ~ ( m1_subset_1 @ SY294 @ ( u1_struct_0 @ SV42 ) )
| ( ( k3_group_5 @ SV42 @ SY293 @ SY293 @ SY294 )
= ( k2_group_1 @ SV42 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6652]) ).
thf(6726,plain,
! [SV43: $i,SV104: $i] :
( ( ( ~ ( m1_subset_1 @ SV104 @ ( u1_struct_0 @ SV43 ) ) )
= $true )
| ( ( ~ ! [SY375: $i] :
( ~ ( m1_subset_1 @ SY375 @ ( u1_struct_0 @ SV43 ) )
| ~ ( ( ( k1_group_1 @ SV43 @ SY375 @ SV104 )
!= SY375 )
| ( ( k1_group_1 @ SV43 @ SV104 @ SY375 )
!= SY375 ) ) )
| ( SV104
= ( k2_group_1 @ SV43 ) ) )
= $true )
| ( ( v3_group_1 @ SV43 )
= $false )
| ( ( v3_struct_0 @ SV43 )
= $true )
| ( ( l1_group_1 @ SV43 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6653]) ).
thf(6727,plain,
( ( ~ ~ ( ~ ( l1_group_1 @ sK6_SX0 )
| ~ ~ ( v3_struct_0 @ sK6_SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6654]) ).
thf(6728,plain,
( ( ~ ( v1_group_1 @ sK6_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6654]) ).
thf(6729,plain,
! [SV44: $i,SV105: $i] :
( ( ( ~ ( m1_subset_1 @ SV105 @ ( u1_struct_0 @ SV44 ) )
| ! [SY379: $i] :
( ~ ( m1_subset_1 @ SY379 @ ( u1_struct_0 @ SV44 ) )
| ! [SY380: $i] :
( ~ ( m1_subset_1 @ SY380 @ ( u1_struct_0 @ SV44 ) )
| ( ( k1_group_1 @ SV44 @ ( k1_group_1 @ SV44 @ SV105 @ SY379 ) @ SY380 )
= ( k1_group_1 @ SV44 @ SV105 @ ( k1_group_1 @ SV44 @ SY379 @ SY380 ) ) ) ) ) )
= $true )
| ( ( v4_group_1 @ SV44 )
= $false )
| ( ( v3_struct_0 @ SV44 )
= $true )
| ( ( l1_group_1 @ SV44 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6655]) ).
thf(6730,plain,
! [SV44: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK17_SY300 @ SV44 ) @ ( u1_struct_0 @ SV44 ) )
| ! [SY381: $i] :
( ~ ( m1_subset_1 @ SY381 @ ( u1_struct_0 @ SV44 ) )
| ! [SY382: $i] :
( ~ ( m1_subset_1 @ SY382 @ ( u1_struct_0 @ SV44 ) )
| ( ( k1_group_1 @ SV44 @ ( k1_group_1 @ SV44 @ ( sK17_SY300 @ SV44 ) @ SY381 ) @ SY382 )
= ( k1_group_1 @ SV44 @ ( sK17_SY300 @ SV44 ) @ ( k1_group_1 @ SV44 @ SY381 @ SY382 ) ) ) ) ) )
= $false )
| ( ( v4_group_1 @ SV44 )
= $true )
| ( ( v3_struct_0 @ SV44 )
= $true )
| ( ( l1_group_1 @ SV44 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[6656]) ).
thf(6731,plain,
! [SV45: $i] :
( ( ( v3_group_1 @ SV45 )
= $false )
| ( ( v3_struct_0 @ SV45 )
= $true )
| ( ( ~ ( v4_group_1 @ SV45 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV45 ) )
= $true )
| ( ( ! [SY303: $i] :
( ~ ( m1_subset_1 @ SY303 @ ( u1_struct_0 @ SV45 ) )
| ! [SY304: $i] :
( ~ ( m1_subset_1 @ SY304 @ ( u1_struct_0 @ SV45 ) )
| ( ( k3_group_1 @ SV45 @ ( k1_group_1 @ SV45 @ SY303 @ SY304 ) )
= ( k1_group_1 @ SV45 @ ( k3_group_1 @ SV45 @ SY304 ) @ ( k3_group_1 @ SV45 @ SY303 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6657]) ).
thf(6732,plain,
! [SV46: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV46 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV46 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV46 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV46 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV46 ) )
= $true )
| ( ( ( k6_autgroup @ SV46 @ ( k2_group_1 @ SV46 ) )
= ( k6_partfun1 @ ( u1_struct_0 @ SV46 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6658]) ).
thf(6733,plain,
! [SV98: $i,SV95: $i,SV84: $i,SV47: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV47 )
| ~ ( v3_group_1 @ SV47 ) )
| ~ ( v4_group_1 @ SV47 ) )
| ~ ( l1_group_1 @ SV47 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV84 @ ( u1_struct_0 @ SV47 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV95 @ ( u1_struct_0 @ SV47 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV98 @ ( u1_struct_0 @ SV47 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k3_group_5 @ SV47 @ SV84 @ SV95 @ SV98 ) @ ( u1_struct_0 @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6659]) ).
thf(6734,plain,
! [SV48: $i] :
( ( ( v3_group_1 @ SV48 )
= $false )
| ( ( v3_struct_0 @ SV48 )
= $true )
| ( ( ~ ( v4_group_1 @ SV48 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV48 ) )
= $true )
| ( ( ! [SY308: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY308 )
| ~ ( v3_group_1 @ SY308 ) )
| ~ ( v4_group_1 @ SY308 ) )
| ~ ( l1_group_1 @ SY308 ) )
| ! [SY309: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY309 )
| ~ ( v3_group_1 @ SY309 ) )
| ~ ( v4_group_1 @ SY309 ) )
| ~ ( l1_group_1 @ SY309 ) )
| ~ ~ ( ~ ( r1_group_6 @ SV48 @ SY308 )
| ~ ( r1_group_6 @ SY308 @ SY309 ) )
| ( r1_group_6 @ SV48 @ SY309 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6660]) ).
thf(6735,plain,
! [SV85: $i,SV49: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV49 )
| ~ ( v3_group_1 @ SV49 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV49 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV49 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV85 @ ( u1_struct_0 @ SV49 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k3_group_1 @ SV49 @ SV85 ) @ ( u1_struct_0 @ SV49 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6661]) ).
thf(6736,plain,
! [SV50: $i] :
( ( ( v3_group_1 @ SV50 )
= $false )
| ( ( v3_struct_0 @ SV50 )
= $true )
| ( ( ~ ( v4_group_1 @ SV50 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV50 ) )
= $true )
| ( ( ( k3_group_1 @ SV50 @ ( k2_group_1 @ SV50 ) )
= ( k2_group_1 @ SV50 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6662]) ).
thf(6737,plain,
! [SV96: $i,SV86: $i,SV51: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV51 )
| ~ ( v3_group_1 @ SV51 ) )
| ~ ( v4_group_1 @ SV51 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV51 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV86 @ ( u1_struct_0 @ SV51 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV96 @ ( u1_struct_0 @ SV51 ) ) )
= $true )
| ( ( ~ ( r2_group_3 @ SV51 @ SV86 @ SV96 )
| ( r2_group_3 @ SV51 @ SV96 @ SV86 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6663]) ).
thf(6738,plain,
! [SV52: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV52 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV52 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV52 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV52 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV52 ) )
= $true )
| ( ( ! [SY313: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY313 )
| ~ ( v1_group_1 @ SY313 ) )
| ~ ( v3_group_1 @ SY313 ) )
| ~ ( v4_group_1 @ SY313 ) )
| ~ ( l1_group_1 @ SY313 ) )
| ~ ( r1_group_6 @ SV52 @ SY313 )
| ( r1_group_6 @ SY313 @ SV52 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6664]) ).
thf(6739,plain,
! [SV53: $i] :
( ( ( v3_group_1 @ SV53 )
= $false )
| ( ( v3_struct_0 @ SV53 )
= $true )
| ( ( ~ ( v4_group_1 @ SV53 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV53 ) )
= $true )
| ( ( ! [SY314: $i] :
( ~ ( m1_group_2 @ SY314 @ SV53 )
| ( ( k2_group_1 @ SY314 )
= ( k2_group_1 @ SV53 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6665]) ).
thf(6740,plain,
! [SV54: $i] :
( ( ( v3_group_1 @ SV54 )
= $false )
| ( ( v3_struct_0 @ SV54 )
= $true )
| ( ( ~ ( v4_group_1 @ SV54 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV54 ) )
= $true )
| ( ( ! [SY315: $i] :
( ~ ( m1_subset_1 @ SY315 @ ( u1_struct_0 @ SV54 ) )
| ! [SY316: $i] :
( ~ ( m1_subset_1 @ SY316 @ ( u1_struct_0 @ SV54 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV54 @ SY315 @ SY316 )
!= ( k1_group_1 @ SV54 @ SY316 @ SY315 ) )
| ( ( k1_group_1 @ SV54 @ SY315 @ ( k3_group_1 @ SV54 @ SY316 ) )
= ( k1_group_1 @ SV54 @ ( k3_group_1 @ SV54 @ SY316 ) @ SY315 ) ) )
| ~ ( ( ( k1_group_1 @ SV54 @ SY315 @ ( k3_group_1 @ SV54 @ SY316 ) )
!= ( k1_group_1 @ SV54 @ ( k3_group_1 @ SV54 @ SY316 ) @ SY315 ) )
| ( ( k1_group_1 @ SV54 @ SY315 @ SY316 )
= ( k1_group_1 @ SV54 @ SY316 @ SY315 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6666]) ).
thf(6741,plain,
! [SV55: $i] :
( ( ( v3_group_1 @ SV55 )
= $false )
| ( ( v3_struct_0 @ SV55 )
= $true )
| ( ( ~ ( v4_group_1 @ SV55 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV55 ) )
= $true )
| ( ( ! [SY317: $i] :
( ~ ( m1_subset_1 @ SY317 @ ( u1_struct_0 @ SV55 ) )
| ! [SY318: $i] :
( ~ ( m1_group_2 @ SY318 @ SV55 )
| ! [SY319: $i] :
( ~ ( m1_subset_1 @ SY319 @ ( u1_struct_0 @ SY318 ) )
| ( SY319 != SY317 )
| ( ( k3_group_1 @ SY318 @ SY319 )
= ( k3_group_1 @ SV55 @ SY317 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6667]) ).
thf(6742,plain,
! [SV56: $i] :
( ( ( v3_group_1 @ SV56 )
= $false )
| ( ( v3_struct_0 @ SV56 )
= $true )
| ( ( ~ ( v4_group_1 @ SV56 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV56 ) )
= $true )
| ( ( ! [SY320: $i] :
( ~ ( m1_subset_1 @ SY320 @ ( u1_struct_0 @ SV56 ) )
| ! [SY321: $i] :
( ~ ( m1_subset_1 @ SY321 @ ( u1_struct_0 @ SV56 ) )
| ~ ~ ( ( ( k1_group_1 @ SV56 @ SY320 @ SY321 )
!= ( k2_group_1 @ SV56 ) )
| ( ( k1_group_1 @ SV56 @ SY321 @ SY320 )
!= ( k2_group_1 @ SV56 ) ) )
| ( SY321
= ( k3_group_1 @ SV56 @ SY320 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6668]) ).
thf(6743,plain,
! [SV57: $i] :
( ( ( v3_group_1 @ SV57 )
= $false )
| ( ( v3_struct_0 @ SV57 )
= $true )
| ( ( ~ ( v4_group_1 @ SV57 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV57 ) )
= $true )
| ( ( ! [SY322: $i] :
( ~ ( m1_subset_1 @ SY322 @ ( u1_struct_0 @ SV57 ) )
| ( ( k2_group_3 @ SV57 @ SY322 @ SY322 )
= SY322 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6669]) ).
thf(6744,plain,
! [SV59: $i] :
( ( ( v3_group_1 @ SV59 )
= $false )
| ( ( v3_struct_0 @ SV59 )
= $true )
| ( ( ~ ( v4_group_1 @ SV59 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV59 ) )
= $true )
| ( ( ! [SY324: $i] :
( ~ ( m1_subset_1 @ SY324 @ ( u1_struct_0 @ SV59 ) )
| ! [SY325: $i] :
( ~ ( m1_subset_1 @ SY325 @ ( u1_struct_0 @ SV59 ) )
| ~ ! [SY326: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY326 @ ( u1_struct_0 @ SV59 ) )
| ( ( k1_group_1 @ SV59 @ SY324 @ SY326 )
!= SY325 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6670]) ).
thf(6745,plain,
! [SV60: $i] :
( ( ( v3_group_1 @ SV60 )
= $false )
| ( ( v3_struct_0 @ SV60 )
= $true )
| ( ( ~ ( v4_group_1 @ SV60 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV60 ) )
= $true )
| ( ( ! [SY327: $i] :
( ~ ( m1_subset_1 @ SY327 @ ( u1_struct_0 @ SV60 ) )
| ! [SY328: $i] :
( ~ ( m1_subset_1 @ SY328 @ ( u1_struct_0 @ SV60 ) )
| ~ ( ~ ( ( SY328
!= ( k3_group_1 @ SV60 @ SY327 ) )
| ~ ( ( ( k1_group_1 @ SV60 @ SY327 @ SY328 )
!= ( k2_group_1 @ SV60 ) )
| ( ( k1_group_1 @ SV60 @ SY328 @ SY327 )
!= ( k2_group_1 @ SV60 ) ) ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV60 @ SY327 @ SY328 )
!= ( k2_group_1 @ SV60 ) )
| ( ( k1_group_1 @ SV60 @ SY328 @ SY327 )
!= ( k2_group_1 @ SV60 ) ) )
| ( SY328
= ( k3_group_1 @ SV60 @ SY327 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6671]) ).
thf(6746,plain,
! [SV87: $i,SV61: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV61 )
| ~ ( v1_group_1 @ SV61 ) )
| ~ ( v3_group_1 @ SV61 ) )
| ~ ( v4_group_1 @ SV61 ) )
| ~ ( l1_group_1 @ SV61 ) )
| ~ ~ ( v3_struct_0 @ SV87 ) )
| ~ ( v1_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( r2_group_6 @ SV61 @ SV87 )
| ( r2_group_6 @ SV87 @ SV61 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6672]) ).
thf(6747,plain,
! [SV62: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV62 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV62 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV62 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV62 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV62 ) )
= $true )
| ( ( ! [SY330: $i] :
( ~ ( m1_subset_1 @ SY330 @ ( u1_struct_0 @ SV62 ) )
| ( ( k8_funct_2 @ ( u1_struct_0 @ SV62 ) @ ( u1_struct_0 @ SV62 ) @ ( k6_autgroup @ SV62 @ ( k2_group_1 @ SV62 ) ) @ SY330 )
= SY330 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6673]) ).
thf(6748,plain,
! [SV97: $i,SV88: $i,SV63: $i] :
( ( ( ~ ( v3_struct_0 @ SV63 ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV63 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV88 @ ( u1_struct_0 @ SV63 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV97 @ ( u1_struct_0 @ SV63 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k1_group_1 @ SV63 @ SV88 @ SV97 ) @ ( u1_struct_0 @ SV63 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6674]) ).
thf(6749,plain,
! [SV64: $i] :
( ( ( v3_group_1 @ SV64 )
= $false )
| ( ( v3_struct_0 @ SV64 )
= $true )
| ( ( ~ ( v4_group_1 @ SV64 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV64 ) )
= $true )
| ( ( ! [SY333: $i] :
( ~ ( m1_subset_1 @ SY333 @ ( u1_struct_0 @ SV64 ) )
| ( ( k2_group_5 @ SV64 @ SY333 @ SY333 )
= ( k2_group_1 @ SV64 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6675]) ).
thf(6750,plain,
! [SV66: $i] :
( ( ( v3_group_1 @ SV66 )
= $false )
| ( ( v3_struct_0 @ SV66 )
= $true )
| ( ( ~ ( v4_group_1 @ SV66 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV66 ) )
= $true )
| ( ( ! [SY335: $i] :
( ~ ( m1_subset_1 @ SY335 @ ( u1_struct_0 @ SV66 ) )
| ! [SY336: $i] :
( ~ ( m1_subset_1 @ SY336 @ ( u1_struct_0 @ SV66 ) )
| ~ ( r1_group_3 @ SV66 @ SY335 @ SY336 )
| ( r1_group_3 @ SV66 @ SY336 @ SY335 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6676]) ).
thf(6751,plain,
! [SV67: $i] :
( ( ( v3_group_1 @ SV67 )
= $false )
| ( ( v3_struct_0 @ SV67 )
= $true )
| ( ( ~ ( v4_group_1 @ SV67 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV67 ) )
= $true )
| ( ( ! [SY337: $i] :
( ~ ( m1_subset_1 @ SY337 @ ( u1_struct_0 @ SV67 ) )
| ( ( k3_group_1 @ SV67 @ ( k3_group_1 @ SV67 @ SY337 ) )
= SY337 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6677]) ).
thf(6752,plain,
! [SV68: $i] :
( ( ( v3_group_1 @ SV68 )
= $false )
| ( ( v3_struct_0 @ SV68 )
= $true )
| ( ( ~ ( v4_group_1 @ SV68 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV68 ) )
= $true )
| ( ( ! [SY338: $i] :
( ~ ( m1_subset_1 @ SY338 @ ( u1_struct_0 @ SV68 ) )
| ( ( k2_group_3 @ SV68 @ SY338 @ ( k2_group_1 @ SV68 ) )
= SY338 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6678]) ).
thf(6753,plain,
! [SV70: $i] :
( ( ( ! [SY345: $i] :
( ~ ( m1_subset_1 @ SY345 @ ( u1_struct_0 @ SV70 ) )
| ~ ! [SY346: $i] :
( ~ ( m1_subset_1 @ SY346 @ ( u1_struct_0 @ SV70 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV70 @ SY346 @ SY345 )
!= SY346 )
| ( ( k1_group_1 @ SV70 @ SY345 @ SY346 )
!= SY346 ) )
| ~ ~ ! [SY347: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY347 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ SY346 @ SY347 )
!= SY345 ) )
| ( ( k1_group_1 @ SV70 @ SY347 @ SY346 )
!= SY345 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK14_SY342 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6679]) ).
thf(6754,plain,
! [SV70: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK15_SY372 @ SV70 ) @ ( u1_struct_0 @ SV70 ) ) )
= $false )
| ( ( ! [SY345: $i] :
( ~ ( m1_subset_1 @ SY345 @ ( u1_struct_0 @ SV70 ) )
| ~ ! [SY346: $i] :
( ~ ( m1_subset_1 @ SY346 @ ( u1_struct_0 @ SV70 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV70 @ SY346 @ SY345 )
!= SY346 )
| ( ( k1_group_1 @ SV70 @ SY345 @ SY346 )
!= SY346 ) )
| ~ ~ ! [SY347: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY347 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ SY346 @ SY347 )
!= SY345 ) )
| ( ( k1_group_1 @ SV70 @ SY347 @ SY346 )
!= SY345 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6680]) ).
thf(6755,plain,
! [SV70: $i] :
( ( ( ! [SY376: $i] :
( ~ ( m1_subset_1 @ SY376 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( sK15_SY372 @ SV70 ) ) @ SY376 )
= ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( k1_group_1 @ SV70 @ ( sK15_SY372 @ SV70 ) @ SY376 ) ) ) ) )
= $false )
| ( ( ! [SY345: $i] :
( ~ ( m1_subset_1 @ SY345 @ ( u1_struct_0 @ SV70 ) )
| ~ ! [SY346: $i] :
( ~ ( m1_subset_1 @ SY346 @ ( u1_struct_0 @ SV70 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV70 @ SY346 @ SY345 )
!= SY346 )
| ( ( k1_group_1 @ SV70 @ SY345 @ SY346 )
!= SY346 ) )
| ~ ~ ! [SY347: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY347 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ SY346 @ SY347 )
!= SY345 ) )
| ( ( k1_group_1 @ SV70 @ SY347 @ SY346 )
!= SY345 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6680]) ).
thf(6756,plain,
! [SV71: $i] :
( ( ( v3_group_1 @ SV71 )
= $false )
| ( ( v3_struct_0 @ SV71 )
= $true )
| ( ( ~ ( v4_group_1 @ SV71 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV71 ) )
= $true )
| ( ( ! [SY348: $i] :
( ~ ( m1_subset_1 @ SY348 @ ( u1_struct_0 @ SV71 ) )
| ! [SY349: $i] :
( ~ ( m1_subset_1 @ SY349 @ ( u1_struct_0 @ SV71 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SY348 @ SY349 ) @ ( k3_group_1 @ SV71 @ SY349 ) )
!= SY348 )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SY348 @ ( k3_group_1 @ SV71 @ SY349 ) ) @ SY349 )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY349 ) @ SY349 ) @ SY348 )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SY349 @ ( k3_group_1 @ SV71 @ SY349 ) ) @ SY348 )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ SY348 @ ( k1_group_1 @ SV71 @ SY349 @ ( k3_group_1 @ SV71 @ SY349 ) ) )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ SY348 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY349 ) @ SY349 ) )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY349 ) @ ( k1_group_1 @ SV71 @ SY349 @ SY348 ) )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ SY349 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY349 ) @ SY348 ) )
!= SY348 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6681]) ).
thf(6757,plain,
! [SV91: $i,SV72: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV72 )
| ~ ( v1_group_1 @ SV72 ) )
| ~ ( v3_group_1 @ SV72 ) )
| ~ ( v4_group_1 @ SV72 ) )
| ~ ( l1_group_1 @ SV72 ) )
| ~ ~ ( v3_struct_0 @ SV91 ) )
| ~ ( v1_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV91 ) )
= $true )
| ( ( r2_group_6 @ SV72 @ SV72 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6682]) ).
thf(6758,plain,
! [SV73: $i] :
( ( ( v3_group_1 @ SV73 )
= $false )
| ( ( v3_struct_0 @ SV73 )
= $true )
| ( ( ~ ( v4_group_1 @ SV73 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV73 ) )
= $true )
| ( ( ! [SY351: $i] :
( ~ ( m1_subset_1 @ SY351 @ ( u1_struct_0 @ SV73 ) )
| ~ ( ( ( k2_group_3 @ SV73 @ SY351 @ ( k3_group_1 @ SV73 @ SY351 ) )
!= SY351 )
| ( ( k2_group_3 @ SV73 @ ( k3_group_1 @ SV73 @ SY351 ) @ SY351 )
!= ( k3_group_1 @ SV73 @ SY351 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6683]) ).
thf(6759,plain,
! [SV74: $i] :
( ( ( v3_group_1 @ SV74 )
= $false )
| ( ( v3_struct_0 @ SV74 )
= $true )
| ( ( ~ ( v4_group_1 @ SV74 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV74 ) )
= $true )
| ( ( ! [SY352: $i] :
( ~ ( m1_subset_1 @ SY352 @ ( u1_struct_0 @ SV74 ) )
| ! [SY353: $i] :
( ~ ( m1_subset_1 @ SY353 @ ( u1_struct_0 @ SV74 ) )
| ! [SY354: $i] :
( ~ ( m1_subset_1 @ SY354 @ ( u1_struct_0 @ SV74 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV74 @ SY352 @ SY353 )
!= SY354 )
| ( SY353
= ( k1_group_1 @ SV74 @ ( k3_group_1 @ SV74 @ SY352 ) @ SY354 ) ) )
| ~ ( ( SY353
!= ( k1_group_1 @ SV74 @ ( k3_group_1 @ SV74 @ SY352 ) @ SY354 ) )
| ( ( k1_group_1 @ SV74 @ SY352 @ SY353 )
= SY354 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6684]) ).
thf(6760,plain,
! [SV75: $i] :
( ( ( v3_group_1 @ SV75 )
= $false )
| ( ( v3_struct_0 @ SV75 )
= $true )
| ( ( ~ ( v4_group_1 @ SV75 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV75 ) )
= $true )
| ( ( ! [SY355: $i] :
( ~ ( m1_subset_1 @ SY355 @ ( u1_struct_0 @ SV75 ) )
| ( ( k3_group_1 @ SV75 @ SY355 )
!= ( k2_group_1 @ SV75 ) )
| ( SY355
= ( k2_group_1 @ SV75 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6685]) ).
thf(6761,plain,
! [SV76: $i] :
( ( ( v3_group_1 @ SV76 )
= $false )
| ( ( v3_struct_0 @ SV76 )
= $true )
| ( ( ~ ( v4_group_1 @ SV76 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV76 ) )
= $true )
| ( ( ~ ( v5_group_1 @ ( k2_group_1 @ SV76 ) @ SV76 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6686]) ).
thf(6762,plain,
! [SV77: $i] :
( ( ( v3_group_1 @ SV77 )
= $false )
| ( ( v3_struct_0 @ SV77 )
= $true )
| ( ( ~ ( v4_group_1 @ SV77 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV77 ) )
= $true )
| ( ( ! [SY356: $i] :
( ~ ( m1_subset_1 @ SY356 @ ( u1_struct_0 @ SV77 ) )
| ! [SY357: $i] :
( ~ ( m1_subset_1 @ SY357 @ ( u1_struct_0 @ SV77 ) )
| ~ ! [SY358: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY358 @ ( u1_struct_0 @ SV77 ) )
| ( ( k1_group_1 @ SV77 @ SY358 @ SY356 )
!= SY357 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6687]) ).
thf(6763,plain,
! [SV78: $i] :
( ( ( ~ ( m1_group_2 @ ( sK18_SY359 @ SV78 ) @ SV78 ) )
= $false )
| ( ( v3_group_1 @ SV78 )
= $false )
| ( ( v3_struct_0 @ SV78 )
= $true )
| ( ( l1_group_1 @ SV78 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[6688]) ).
thf(6764,plain,
! [SV2: $i] :
( ( ( ~ ( v3_struct_0 @ SV2 ) )
= $false )
| ( ( ~ ( v1_group_1 @ SV2 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV2 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV2 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV2 ) )
= $true )
| ( ( ! [SY222: $i] :
( ~ ( m1_subset_1 @ SY222 @ ( u1_struct_0 @ SV2 ) )
| ! [SY223: $i] :
( ~ ( m1_subset_1 @ SY223 @ ( u1_struct_0 @ SV2 ) )
| ( ( k6_autgroup @ SV2 @ ( k1_group_1 @ SV2 @ SY222 @ SY223 ) )
= ( k7_funct_2 @ ( u1_struct_0 @ SV2 ) @ ( u1_struct_0 @ SV2 ) @ ( u1_struct_0 @ SV2 ) @ ( k6_autgroup @ SV2 @ SY222 ) @ ( k6_autgroup @ SV2 @ SY223 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6689]) ).
thf(6765,plain,
! [SV3: $i] :
( ( ( v4_group_1 @ SV3 )
= $false )
| ( ( v3_struct_0 @ SV3 )
= $true )
| ( ( v3_group_1 @ SV3 )
= $false )
| ( ( ~ ( l1_group_1 @ SV3 ) )
= $true )
| ( ( ! [SY224: $i] :
( ~ ( m1_subset_1 @ SY224 @ ( u1_struct_0 @ SV3 ) )
| ! [SY225: $i] :
( ~ ( m1_subset_1 @ SY225 @ ( u1_struct_0 @ SV3 ) )
| ~ ( ( ( k1_group_1 @ SV3 @ SY224 @ SY225 )
= SY224 )
| ( ( k1_group_1 @ SV3 @ SY225 @ SY224 )
= SY224 ) )
| ( SY225
= ( k2_group_1 @ SV3 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6690]) ).
thf(6766,plain,
! [SV4: $i] :
( ( ( v4_group_1 @ SV4 )
= $false )
| ( ( v3_struct_0 @ SV4 )
= $true )
| ( ( v3_group_1 @ SV4 )
= $false )
| ( ( ~ ( l1_group_1 @ SV4 ) )
= $true )
| ( ( ! [SY226: $i] :
( ~ ( m1_group_2 @ SY226 @ SV4 )
| ! [SY227: $i] :
( ~ ( m1_group_2 @ SY227 @ SV4 )
| ( ( k2_group_1 @ SY226 )
= ( k2_group_1 @ SY227 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6691]) ).
thf(6767,plain,
! [SV5: $i] :
( ( ( v4_group_1 @ SV5 )
= $false )
| ( ( v3_struct_0 @ SV5 )
= $true )
| ( ( v3_group_1 @ SV5 )
= $false )
| ( ( ~ ( l1_group_1 @ SV5 ) )
= $true )
| ( ( ! [SY228: $i] :
( ~ ( m1_subset_1 @ SY228 @ ( u1_struct_0 @ SV5 ) )
| ! [SY229: $i] :
( ~ ( m1_subset_1 @ SY229 @ ( u1_struct_0 @ SV5 ) )
| ~ ( ( ( k2_group_3 @ SV5 @ ( k2_group_3 @ SV5 @ SY228 @ SY229 ) @ ( k3_group_1 @ SV5 @ SY229 ) )
!= SY228 )
| ( ( k2_group_3 @ SV5 @ ( k2_group_3 @ SV5 @ SY228 @ ( k3_group_1 @ SV5 @ SY229 ) ) @ SY229 )
!= SY228 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6692]) ).
thf(6768,plain,
! [SV6: $i] :
( ( ( v4_group_1 @ SV6 )
= $false )
| ( ( v3_struct_0 @ SV6 )
= $true )
| ( ( v3_group_1 @ SV6 )
= $false )
| ( ( ~ ( l1_group_1 @ SV6 ) )
= $true )
| ( ( ! [SY230: $i] :
( ~ ( m1_subset_1 @ SY230 @ ( u1_struct_0 @ SV6 ) )
| ( ( k2_group_3 @ SV6 @ ( k2_group_1 @ SV6 ) @ SY230 )
= ( k2_group_1 @ SV6 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6693]) ).
thf(6769,plain,
! [SV7: $i] :
( ( ( v4_group_1 @ SV7 )
= $false )
| ( ( v3_struct_0 @ SV7 )
= $true )
| ( ( v3_group_1 @ SV7 )
= $false )
| ( ( ~ ( l1_group_1 @ SV7 ) )
= $true )
| ( ( ! [SY231: $i] :
( ~ ( m1_subset_1 @ SY231 @ ( u1_struct_0 @ SV7 ) )
| ~ ( ( r2_group_3 @ SV7 @ SY231 @ ( k2_group_1 @ SV7 ) )
| ( r2_group_3 @ SV7 @ ( k2_group_1 @ SV7 ) @ SY231 ) )
| ( SY231
= ( k2_group_1 @ SV7 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6694]) ).
thf(6770,plain,
! [SV8: $i] :
( ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( ~ ( l1_group_1 @ SV8 ) )
= $true )
| ( ( ! [SY232: $i] :
( ~ ( m1_subset_1 @ SY232 @ ( u1_struct_0 @ SV8 ) )
| ! [SY233: $i] :
( ~ ( m1_subset_1 @ SY233 @ ( u1_struct_0 @ SV8 ) )
| ! [SY234: $i] :
( ~ ( m1_subset_1 @ SY234 @ ( u1_struct_0 @ SV8 ) )
| ~ ( ( ( k1_group_1 @ SV8 @ SY232 @ SY233 )
= ( k1_group_1 @ SV8 @ SY232 @ SY234 ) )
| ( ( k1_group_1 @ SV8 @ SY233 @ SY232 )
= ( k1_group_1 @ SV8 @ SY234 @ SY232 ) ) )
| ( SY233 = SY234 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6695]) ).
thf(6771,plain,
! [SV10: $i] :
( ( ( v4_group_1 @ SV10 )
= $false )
| ( ( v3_struct_0 @ SV10 )
= $true )
| ( ( v3_group_1 @ SV10 )
= $false )
| ( ( ~ ( l1_group_1 @ SV10 ) )
= $true )
| ( ( ! [SY235: $i] :
( ~ ( m1_subset_1 @ SY235 @ ( u1_struct_0 @ SV10 ) )
| ! [SY236: $i] :
( ~ ( m1_subset_1 @ SY236 @ ( u1_struct_0 @ SV10 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV10 @ SY235 @ SY236 )
!= ( k1_group_1 @ SV10 @ SY236 @ SY235 ) )
| ( ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY235 ) @ ( k3_group_1 @ SV10 @ SY236 ) )
= ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY236 ) @ ( k3_group_1 @ SV10 @ SY235 ) ) ) )
| ~ ( ( ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY235 ) @ ( k3_group_1 @ SV10 @ SY236 ) )
!= ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY236 ) @ ( k3_group_1 @ SV10 @ SY235 ) ) )
| ( ( k1_group_1 @ SV10 @ SY235 @ SY236 )
= ( k1_group_1 @ SV10 @ SY236 @ SY235 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6696]) ).
thf(6772,plain,
! [SV11: $i] :
( ( ( ~ ( v3_struct_0 @ SV11 ) )
= $false )
| ( ( ~ ( v1_group_1 @ SV11 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV11 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV11 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV11 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k3_autgroup @ SV11 ) )
| ~ ( v1_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( v3_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( v4_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( l1_group_1 @ ( k3_autgroup @ SV11 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6697]) ).
thf(6773,plain,
! [SV12: $i,SV102: $i] :
( ( ( m1_group_2 @ SV102 @ SV12 )
= $false )
| ( ( ! [SY374: $i] :
( ~ ( m1_subset_1 @ SY374 @ ( u1_struct_0 @ SV102 ) )
| ( m1_subset_1 @ SY374 @ ( u1_struct_0 @ SV12 ) ) ) )
= $true )
| ( ( v3_group_1 @ SV12 )
= $false )
| ( ( v3_struct_0 @ SV12 )
= $true )
| ( ( l1_group_1 @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6698]) ).
thf(6774,plain,
! [SV13: $i] :
( ( ( v4_group_1 @ SV13 )
= $false )
| ( ( v3_struct_0 @ SV13 )
= $true )
| ( ( v3_group_1 @ SV13 )
= $false )
| ( ( ~ ( l1_group_1 @ SV13 ) )
= $true )
| ( ( ! [SY239: $i] :
( ~ ( m1_subset_1 @ SY239 @ ( u1_struct_0 @ SV13 ) )
| ! [SY240: $i] :
( ~ ( m1_subset_1 @ SY240 @ ( u1_struct_0 @ SV13 ) )
| ~ ( ~ ~ ( ( ( k3_group_5 @ SV13 @ SY239 @ SY240 @ ( k2_group_1 @ SV13 ) )
!= ( k2_group_1 @ SV13 ) )
| ( ( k3_group_5 @ SV13 @ SY239 @ ( k2_group_1 @ SV13 ) @ SY240 )
!= ( k2_group_1 @ SV13 ) ) )
| ( ( k3_group_5 @ SV13 @ ( k2_group_1 @ SV13 ) @ SY239 @ SY240 )
!= ( k2_group_1 @ SV13 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6699]) ).
thf(6775,plain,
! [SV15: $i] :
( ( ( v4_group_1 @ SV15 )
= $false )
| ( ( v3_struct_0 @ SV15 )
= $true )
| ( ( v3_group_1 @ SV15 )
= $false )
| ( ( ~ ( l1_group_1 @ SV15 ) )
= $true )
| ( ( ! [SY241: $i] :
( ~ ( m1_subset_1 @ SY241 @ ( u1_struct_0 @ SV15 ) )
| ! [SY242: $i] :
( ~ ( m1_subset_1 @ SY242 @ ( u1_struct_0 @ SV15 ) )
| ( ( k2_group_3 @ SV15 @ ( k3_group_1 @ SV15 @ SY241 ) @ SY242 )
= ( k3_group_1 @ SV15 @ ( k2_group_3 @ SV15 @ SY241 @ SY242 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6700]) ).
thf(6776,plain,
! [SV16: $i] :
( ( ( ~ ~ ( ~ ( m1_subset_1 @ ( sK19_SY243 @ SV16 ) @ ( u1_struct_0 @ SV16 ) )
| ~ ! [SY383: $i] :
( ~ ( m1_subset_1 @ SY383 @ ( u1_struct_0 @ SV16 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV16 @ SY383 @ ( sK19_SY243 @ SV16 ) )
!= SY383 )
| ( ( k1_group_1 @ SV16 @ ( sK19_SY243 @ SV16 ) @ SY383 )
!= SY383 ) )
| ~ ~ ! [SY384: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY384 @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ SY383 @ SY384 )
!= ( sK19_SY243 @ SV16 ) ) )
| ( ( k1_group_1 @ SV16 @ SY384 @ SY383 )
!= ( sK19_SY243 @ SV16 ) ) ) ) ) ) )
= $false )
| ( ( v3_group_1 @ SV16 )
= $false )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[6701]) ).
thf(6777,plain,
! [SV16: $i,SV106: $i] :
( ( ( ~ ~ ( ~ ( m1_subset_1 @ SV106 @ ( u1_struct_0 @ SV16 ) )
| ~ ! [SY385: $i] :
( ~ ( m1_subset_1 @ SY385 @ ( u1_struct_0 @ SV16 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV16 @ SY385 @ SV106 )
!= SY385 )
| ( ( k1_group_1 @ SV16 @ SV106 @ SY385 )
!= SY385 ) )
| ~ ~ ! [SY386: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY386 @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ SY385 @ SY386 )
!= SV106 ) )
| ( ( k1_group_1 @ SV16 @ SY386 @ SY385 )
!= SV106 ) ) ) ) ) )
= $true )
| ( ( v3_group_1 @ SV16 )
= $true )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6702]) ).
thf(6778,plain,
! [SV17: $i] :
( ( ( v4_group_1 @ SV17 )
= $false )
| ( ( v3_struct_0 @ SV17 )
= $true )
| ( ( v3_group_1 @ SV17 )
= $false )
| ( ( ~ ( l1_group_1 @ SV17 ) )
= $true )
| ( ( ! [SY249: $i] :
( ~ ( m1_subset_1 @ SY249 @ ( u1_struct_0 @ SV17 ) )
| ! [SY250: $i] :
( ~ ( m1_subset_1 @ SY250 @ ( u1_struct_0 @ SV17 ) )
| ( ( k2_group_3 @ SV17 @ SY249 @ SY250 )
!= ( k2_group_1 @ SV17 ) )
| ( SY249
= ( k2_group_1 @ SV17 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6703]) ).
thf(6779,plain,
! [SV18: $i] :
( ( ( v4_group_1 @ SV18 )
= $false )
| ( ( v3_struct_0 @ SV18 )
= $true )
| ( ( v3_group_1 @ SV18 )
= $false )
| ( ( ~ ( l1_group_1 @ SV18 ) )
= $true )
| ( ( ! [SY251: $i] :
( ~ ( m1_subset_1 @ SY251 @ ( u1_struct_0 @ SV18 ) )
| ( r1_group_3 @ SV18 @ SY251 @ SY251 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6704]) ).
thf(6780,plain,
! [SV92: $i,SV79: $i,SV19: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV19 )
| ~ ( v3_group_1 @ SV19 ) )
| ~ ( v4_group_1 @ SV19 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV19 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV79 @ ( u1_struct_0 @ SV19 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV92 @ ( u1_struct_0 @ SV19 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k2_group_3 @ SV19 @ SV79 @ SV92 ) @ ( u1_struct_0 @ SV19 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6705]) ).
thf(6781,plain,
! [SV21: $i] :
( ( ( v4_group_1 @ SV21 )
= $false )
| ( ( v3_struct_0 @ SV21 )
= $true )
| ( ( v3_group_1 @ SV21 )
= $false )
| ( ( ~ ( l1_group_1 @ SV21 ) )
= $true )
| ( ( ! [SY254: $i] :
( ~ ( m1_subset_1 @ SY254 @ ( u1_struct_0 @ SV21 ) )
| ! [SY255: $i] :
( ~ ( m1_subset_1 @ SY255 @ ( u1_struct_0 @ SV21 ) )
| ! [SY256: $i] :
( ~ ( m1_subset_1 @ SY256 @ ( u1_struct_0 @ SV21 ) )
| ~ ~ ( ~ ( r2_group_3 @ SV21 @ SY254 @ SY255 )
| ~ ( r2_group_3 @ SV21 @ SY255 @ SY256 ) )
| ( r2_group_3 @ SV21 @ SY254 @ SY256 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6706]) ).
thf(6782,plain,
! [SV22: $i] :
( ( ( ~ ( v3_struct_0 @ SV22 ) )
= $false )
| ( ( ~ ( v1_group_1 @ SV22 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV22 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV22 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV22 ) )
= $true )
| ( ( ! [SY257: $i] :
( ~ ~ ( ~ ( v1_group_1 @ SY257 )
| ~ ( m1_group_2 @ SY257 @ SV22 ) )
| ( ( u1_struct_0 @ SY257 )
!= ( u1_struct_0 @ SV22 ) )
| ( SY257 = SV22 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6707]) ).
thf(6783,plain,
! [SV23: $i] :
( ( ( v4_group_1 @ SV23 )
= $false )
| ( ( v3_struct_0 @ SV23 )
= $true )
| ( ( v3_group_1 @ SV23 )
= $false )
| ( ( ~ ( l1_group_1 @ SV23 ) )
= $true )
| ( ( ! [SY258: $i] :
( ~ ( m1_subset_1 @ SY258 @ ( u1_struct_0 @ SV23 ) )
| ! [SY259: $i] :
( ~ ( m1_subset_1 @ SY259 @ ( u1_struct_0 @ SV23 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV23 @ SY258 @ SY259 )
!= ( k1_group_1 @ SV23 @ SY259 @ SY258 ) )
| ( ( k3_group_1 @ SV23 @ ( k1_group_1 @ SV23 @ SY258 @ SY259 ) )
= ( k1_group_1 @ SV23 @ ( k3_group_1 @ SV23 @ SY258 ) @ ( k3_group_1 @ SV23 @ SY259 ) ) ) )
| ~ ( ( ( k3_group_1 @ SV23 @ ( k1_group_1 @ SV23 @ SY258 @ SY259 ) )
!= ( k1_group_1 @ SV23 @ ( k3_group_1 @ SV23 @ SY258 ) @ ( k3_group_1 @ SV23 @ SY259 ) ) )
| ( ( k1_group_1 @ SV23 @ SY258 @ SY259 )
= ( k1_group_1 @ SV23 @ SY259 @ SY258 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6708]) ).
thf(6784,plain,
! [SV24: $i] :
( ( ( v4_group_1 @ SV24 )
= $false )
| ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( v3_group_1 @ SV24 )
= $false )
| ( ( ~ ( l1_group_1 @ SV24 ) )
= $true )
| ( ( ! [SY260: $i] :
( ~ ( m1_subset_1 @ SY260 @ ( u1_struct_0 @ SV24 ) )
| ~ ( ( ( k2_group_5 @ SV24 @ ( k2_group_1 @ SV24 ) @ SY260 )
!= ( k2_group_1 @ SV24 ) )
| ( ( k2_group_5 @ SV24 @ SY260 @ ( k2_group_1 @ SV24 ) )
!= ( k2_group_1 @ SV24 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6709]) ).
thf(6785,plain,
! [SV25: $i] :
( ( ( v4_group_1 @ SV25 )
= $false )
| ( ( v3_struct_0 @ SV25 )
= $true )
| ( ( v3_group_1 @ SV25 )
= $false )
| ( ( ~ ( l1_group_1 @ SV25 ) )
= $true )
| ( ( m1_group_2 @ SV25 @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6710]) ).
thf(6786,plain,
! [SV26: $i] :
( ( ( v4_group_1 @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( v3_group_1 @ SV26 )
= $false )
| ( ( ~ ( l1_group_1 @ SV26 ) )
= $true )
| ( ( ! [SY261: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY261 )
| ~ ( v3_group_1 @ SY261 ) )
| ~ ( v4_group_1 @ SY261 ) )
| ~ ( l1_group_1 @ SY261 ) )
| ! [SY262: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY262 )
| ~ ( v3_group_1 @ SY262 ) )
| ~ ( v4_group_1 @ SY262 ) )
| ~ ( l1_group_1 @ SY262 ) )
| ~ ~ ( ~ ( m1_group_2 @ SV26 @ SY261 )
| ~ ( m1_group_2 @ SY261 @ SY262 ) )
| ( m1_group_2 @ SV26 @ SY262 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6711]) ).
thf(6787,plain,
! [SV28: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK16_SY265 @ SV28 ) @ ( u1_struct_0 @ SV28 ) ) )
= $false )
| ( ( ~ ! [SY268: $i] :
( ~ ( m1_subset_1 @ SY268 @ ( u1_struct_0 @ SV28 ) )
| ! [SY269: $i] :
( ~ ( m1_subset_1 @ SY269 @ ( u1_struct_0 @ SV28 ) )
| ~ ( ~ ~ ! [SY270: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY270 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY268 @ SY270 )
!= SY269 ) )
| ~ ~ ! [SY271: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY271 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY271 @ SY268 )
!= SY269 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6712]) ).
thf(6788,plain,
! [SV28: $i] :
( ( ( ! [SY377: $i] :
( ~ ( m1_subset_1 @ SY377 @ ( u1_struct_0 @ SV28 ) )
| ! [SY378: $i] :
( ~ ( m1_subset_1 @ SY378 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ SY377 ) @ SY378 )
= ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( k1_group_1 @ SV28 @ SY377 @ SY378 ) ) ) ) ) )
= $false )
| ( ( ~ ! [SY268: $i] :
( ~ ( m1_subset_1 @ SY268 @ ( u1_struct_0 @ SV28 ) )
| ! [SY269: $i] :
( ~ ( m1_subset_1 @ SY269 @ ( u1_struct_0 @ SV28 ) )
| ~ ( ~ ~ ! [SY270: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY270 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY268 @ SY270 )
!= SY269 ) )
| ~ ~ ! [SY271: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY271 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY271 @ SY268 )
!= SY269 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6712]) ).
thf(6789,plain,
! [SV93: $i,SV81: $i,SV29: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV29 )
| ~ ( v3_group_1 @ SV29 ) )
| ~ ( v4_group_1 @ SV29 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV29 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV81 @ ( u1_struct_0 @ SV29 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV93 @ ( u1_struct_0 @ SV29 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k2_group_5 @ SV29 @ SV81 @ SV93 ) @ ( u1_struct_0 @ SV29 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6713]) ).
thf(6790,plain,
! [SV94: $i,SV82: $i,SV30: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV30 )
| ~ ( v3_group_1 @ SV30 ) )
| ~ ( v4_group_1 @ SV30 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV30 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV82 @ ( u1_struct_0 @ SV30 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV94 @ ( u1_struct_0 @ SV30 ) ) )
= $true )
| ( ( r2_group_3 @ SV30 @ SV82 @ SV82 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6714]) ).
thf(6791,plain,
! [SV31: $i] :
( ( ( v4_group_1 @ SV31 )
= $false )
| ( ( v3_struct_0 @ SV31 )
= $true )
| ( ( v3_group_1 @ SV31 )
= $false )
| ( ( ~ ( l1_group_1 @ SV31 ) )
= $true )
| ( ( ! [SY276: $i] :
( ~ ( m1_subset_1 @ SY276 @ ( u1_struct_0 @ SV31 ) )
| ! [SY277: $i] :
( ~ ( m1_subset_1 @ SY277 @ ( u1_struct_0 @ SV31 ) )
| ( ( k3_group_1 @ SV31 @ SY276 )
!= ( k3_group_1 @ SV31 @ SY277 ) )
| ( SY276 = SY277 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6715]) ).
thf(6792,plain,
! [SV32: $i] :
( ( ( v4_group_1 @ SV32 )
= $false )
| ( ( v3_struct_0 @ SV32 )
= $true )
| ( ( v3_group_1 @ SV32 )
= $false )
| ( ( ~ ( l1_group_1 @ SV32 ) )
= $true )
| ( ( ! [SY278: $i] :
( ~ ( m1_subset_1 @ SY278 @ ( u1_struct_0 @ SV32 ) )
| ~ ( ( ( k2_group_5 @ SV32 @ SY278 @ ( k3_group_1 @ SV32 @ SY278 ) )
!= ( k2_group_1 @ SV32 ) )
| ( ( k2_group_5 @ SV32 @ ( k3_group_1 @ SV32 @ SY278 ) @ SY278 )
!= ( k2_group_1 @ SV32 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6716]) ).
thf(6793,plain,
! [SV33: $i] :
( ( ( v4_group_1 @ SV33 )
= $false )
| ( ( v3_struct_0 @ SV33 )
= $true )
| ( ( v3_group_1 @ SV33 )
= $false )
| ( ( ~ ( l1_group_1 @ SV33 ) )
= $true )
| ( ( ! [SY279: $i] :
( ~ ( m1_subset_1 @ SY279 @ ( u1_struct_0 @ SV33 ) )
| ! [SY280: $i] :
( ~ ( m1_subset_1 @ SY280 @ ( u1_struct_0 @ SV33 ) )
| ! [SY281: $i] :
( ~ ( m1_subset_1 @ SY281 @ ( u1_struct_0 @ SV33 ) )
| ( ( k2_group_3 @ SV33 @ SY279 @ SY280 )
!= ( k2_group_3 @ SV33 @ SY281 @ SY280 ) )
| ( SY279 = SY281 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6717]) ).
thf(6794,plain,
! [SV34: $i] :
( ( ( v4_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( ~ ( l1_group_1 @ SV34 ) )
= $true )
| ( ( ! [SY282: $i] :
( ~ ( m1_subset_1 @ SY282 @ ( u1_struct_0 @ SV34 ) )
| ! [SY283: $i] :
( ~ ( m1_subset_1 @ SY283 @ ( u1_struct_0 @ SV34 ) )
| ~ ( ( ( k1_group_1 @ SV34 @ SY282 @ SY283 )
= ( k2_group_1 @ SV34 ) )
| ( ( k1_group_1 @ SV34 @ SY283 @ SY282 )
= ( k2_group_1 @ SV34 ) ) )
| ~ ( ( SY282
!= ( k3_group_1 @ SV34 @ SY283 ) )
| ( SY283
!= ( k3_group_1 @ SV34 @ SY282 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6718]) ).
thf(6795,plain,
! [SV83: $i,SV35: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV35 )
| ~ ( v3_group_1 @ SV35 ) )
| ~ ( v4_group_1 @ SV35 ) )
| ~ ( l1_group_1 @ SV35 ) ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV83 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV83 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV83 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV83 ) )
= $true )
| ( ( r1_group_6 @ SV35 @ SV35 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6719]) ).
thf(6796,plain,
! [SV36: $i] :
( ( ( v4_group_1 @ SV36 )
= $false )
| ( ( v3_struct_0 @ SV36 )
= $true )
| ( ( v3_group_1 @ SV36 )
= $false )
| ( ( ~ ( l1_group_1 @ SV36 ) )
= $true )
| ( ( ! [SY285: $i] :
( ~ ( m1_subset_1 @ SY285 @ ( u1_struct_0 @ SV36 ) )
| ! [SY286: $i] :
( ~ ( m1_subset_1 @ SY286 @ ( u1_struct_0 @ SV36 ) )
| ! [SY287: $i] :
( ~ ( m1_subset_1 @ SY287 @ ( u1_struct_0 @ SV36 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV36 @ SY285 @ SY286 )
!= SY287 )
| ( SY285
= ( k1_group_1 @ SV36 @ SY287 @ ( k3_group_1 @ SV36 @ SY286 ) ) ) )
| ~ ( ( SY285
!= ( k1_group_1 @ SV36 @ SY287 @ ( k3_group_1 @ SV36 @ SY286 ) ) )
| ( ( k1_group_1 @ SV36 @ SY285 @ SY286 )
= SY287 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6720]) ).
thf(6797,plain,
! [SV37: $i] :
( ( ( v4_group_1 @ SV37 )
= $false )
| ( ( v3_struct_0 @ SV37 )
= $true )
| ( ( v3_group_1 @ SV37 )
= $false )
| ( ( ~ ( l1_group_1 @ SV37 ) )
= $true )
| ( ( ! [SY288: $i] :
( ~ ( m1_group_2 @ SY288 @ SV37 )
| ( v4_group_1 @ SY288 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6721]) ).
thf(6798,plain,
! [SV38: $i,SV103: $i] :
( ( ( m1_group_2 @ SV103 @ SV38 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV103 )
| ~ ( v3_group_1 @ SV103 ) )
| ~ ( l1_group_1 @ SV103 ) ) )
= $true )
| ( ( v3_group_1 @ SV38 )
= $false )
| ( ( v3_struct_0 @ SV38 )
= $true )
| ( ( l1_group_1 @ SV38 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6722]) ).
thf(6799,plain,
! [SV41: $i] :
( ( ( v4_group_1 @ SV41 )
= $false )
| ( ( v3_struct_0 @ SV41 )
= $true )
| ( ( v3_group_1 @ SV41 )
= $false )
| ( ( ~ ( l1_group_1 @ SV41 ) )
= $true )
| ( ( ! [SY291: $i] :
( ~ ( m1_subset_1 @ SY291 @ ( u1_struct_0 @ SV41 ) )
| ! [SY292: $i] :
( ~ ( m1_subset_1 @ SY292 @ ( u1_struct_0 @ SV41 ) )
| ( ( k3_group_1 @ SV41 @ ( k2_group_5 @ SV41 @ SY291 @ SY292 ) )
= ( k2_group_5 @ SV41 @ SY292 @ SY291 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6724]) ).
thf(6800,plain,
! [SV42: $i] :
( ( ( v4_group_1 @ SV42 )
= $false )
| ( ( v3_struct_0 @ SV42 )
= $true )
| ( ( v3_group_1 @ SV42 )
= $false )
| ( ( ~ ( l1_group_1 @ SV42 ) )
= $true )
| ( ( ! [SY293: $i] :
( ~ ( m1_subset_1 @ SY293 @ ( u1_struct_0 @ SV42 ) )
| ! [SY294: $i] :
( ~ ( m1_subset_1 @ SY294 @ ( u1_struct_0 @ SV42 ) )
| ( ( k3_group_5 @ SV42 @ SY293 @ SY293 @ SY294 )
= ( k2_group_1 @ SV42 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6725]) ).
thf(6801,plain,
! [SV43: $i,SV104: $i] :
( ( ( m1_subset_1 @ SV104 @ ( u1_struct_0 @ SV43 ) )
= $false )
| ( ( ~ ! [SY375: $i] :
( ~ ( m1_subset_1 @ SY375 @ ( u1_struct_0 @ SV43 ) )
| ~ ( ( ( k1_group_1 @ SV43 @ SY375 @ SV104 )
!= SY375 )
| ( ( k1_group_1 @ SV43 @ SV104 @ SY375 )
!= SY375 ) ) )
| ( SV104
= ( k2_group_1 @ SV43 ) ) )
= $true )
| ( ( v3_group_1 @ SV43 )
= $false )
| ( ( v3_struct_0 @ SV43 )
= $true )
| ( ( l1_group_1 @ SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6726]) ).
thf(6802,plain,
( ( ~ ( ~ ( l1_group_1 @ sK6_SX0 )
| ~ ~ ( v3_struct_0 @ sK6_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6727]) ).
thf(6803,plain,
( ( v1_group_1 @ sK6_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6728]) ).
thf(6804,plain,
! [SV44: $i,SV105: $i] :
( ( ( ~ ( m1_subset_1 @ SV105 @ ( u1_struct_0 @ SV44 ) ) )
= $true )
| ( ( ! [SY379: $i] :
( ~ ( m1_subset_1 @ SY379 @ ( u1_struct_0 @ SV44 ) )
| ! [SY380: $i] :
( ~ ( m1_subset_1 @ SY380 @ ( u1_struct_0 @ SV44 ) )
| ( ( k1_group_1 @ SV44 @ ( k1_group_1 @ SV44 @ SV105 @ SY379 ) @ SY380 )
= ( k1_group_1 @ SV44 @ SV105 @ ( k1_group_1 @ SV44 @ SY379 @ SY380 ) ) ) ) ) )
= $true )
| ( ( v4_group_1 @ SV44 )
= $false )
| ( ( v3_struct_0 @ SV44 )
= $true )
| ( ( l1_group_1 @ SV44 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6729]) ).
thf(6805,plain,
! [SV44: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK17_SY300 @ SV44 ) @ ( u1_struct_0 @ SV44 ) ) )
= $false )
| ( ( v4_group_1 @ SV44 )
= $true )
| ( ( v3_struct_0 @ SV44 )
= $true )
| ( ( l1_group_1 @ SV44 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6730]) ).
thf(6806,plain,
! [SV44: $i] :
( ( ( ! [SY381: $i] :
( ~ ( m1_subset_1 @ SY381 @ ( u1_struct_0 @ SV44 ) )
| ! [SY382: $i] :
( ~ ( m1_subset_1 @ SY382 @ ( u1_struct_0 @ SV44 ) )
| ( ( k1_group_1 @ SV44 @ ( k1_group_1 @ SV44 @ ( sK17_SY300 @ SV44 ) @ SY381 ) @ SY382 )
= ( k1_group_1 @ SV44 @ ( sK17_SY300 @ SV44 ) @ ( k1_group_1 @ SV44 @ SY381 @ SY382 ) ) ) ) ) )
= $false )
| ( ( v4_group_1 @ SV44 )
= $true )
| ( ( v3_struct_0 @ SV44 )
= $true )
| ( ( l1_group_1 @ SV44 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6730]) ).
thf(6807,plain,
! [SV45: $i] :
( ( ( v4_group_1 @ SV45 )
= $false )
| ( ( v3_struct_0 @ SV45 )
= $true )
| ( ( v3_group_1 @ SV45 )
= $false )
| ( ( ~ ( l1_group_1 @ SV45 ) )
= $true )
| ( ( ! [SY303: $i] :
( ~ ( m1_subset_1 @ SY303 @ ( u1_struct_0 @ SV45 ) )
| ! [SY304: $i] :
( ~ ( m1_subset_1 @ SY304 @ ( u1_struct_0 @ SV45 ) )
| ( ( k3_group_1 @ SV45 @ ( k1_group_1 @ SV45 @ SY303 @ SY304 ) )
= ( k1_group_1 @ SV45 @ ( k3_group_1 @ SV45 @ SY304 ) @ ( k3_group_1 @ SV45 @ SY303 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6731]) ).
thf(6808,plain,
! [SV46: $i] :
( ( ( ~ ( v3_struct_0 @ SV46 ) )
= $false )
| ( ( ~ ( v1_group_1 @ SV46 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV46 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV46 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV46 ) )
= $true )
| ( ( ( k6_autgroup @ SV46 @ ( k2_group_1 @ SV46 ) )
= ( k6_partfun1 @ ( u1_struct_0 @ SV46 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6732]) ).
thf(6809,plain,
! [SV98: $i,SV95: $i,SV84: $i,SV47: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV47 )
| ~ ( v3_group_1 @ SV47 ) )
| ~ ( v4_group_1 @ SV47 ) )
| ~ ( l1_group_1 @ SV47 ) ) )
= $false )
| ( ( ~ ( m1_subset_1 @ SV84 @ ( u1_struct_0 @ SV47 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV95 @ ( u1_struct_0 @ SV47 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV98 @ ( u1_struct_0 @ SV47 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k3_group_5 @ SV47 @ SV84 @ SV95 @ SV98 ) @ ( u1_struct_0 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6733]) ).
thf(6810,plain,
! [SV48: $i] :
( ( ( v4_group_1 @ SV48 )
= $false )
| ( ( v3_struct_0 @ SV48 )
= $true )
| ( ( v3_group_1 @ SV48 )
= $false )
| ( ( ~ ( l1_group_1 @ SV48 ) )
= $true )
| ( ( ! [SY308: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY308 )
| ~ ( v3_group_1 @ SY308 ) )
| ~ ( v4_group_1 @ SY308 ) )
| ~ ( l1_group_1 @ SY308 ) )
| ! [SY309: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY309 )
| ~ ( v3_group_1 @ SY309 ) )
| ~ ( v4_group_1 @ SY309 ) )
| ~ ( l1_group_1 @ SY309 ) )
| ~ ~ ( ~ ( r1_group_6 @ SV48 @ SY308 )
| ~ ( r1_group_6 @ SY308 @ SY309 ) )
| ( r1_group_6 @ SV48 @ SY309 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6734]) ).
thf(6811,plain,
! [SV85: $i,SV49: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV49 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV49 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV49 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV49 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV85 @ ( u1_struct_0 @ SV49 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k3_group_1 @ SV49 @ SV85 ) @ ( u1_struct_0 @ SV49 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6735]) ).
thf(6812,plain,
! [SV50: $i] :
( ( ( v4_group_1 @ SV50 )
= $false )
| ( ( v3_struct_0 @ SV50 )
= $true )
| ( ( v3_group_1 @ SV50 )
= $false )
| ( ( ~ ( l1_group_1 @ SV50 ) )
= $true )
| ( ( ( k3_group_1 @ SV50 @ ( k2_group_1 @ SV50 ) )
= ( k2_group_1 @ SV50 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6736]) ).
thf(6813,plain,
! [SV96: $i,SV86: $i,SV51: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV51 )
| ~ ( v3_group_1 @ SV51 ) )
| ~ ( v4_group_1 @ SV51 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV51 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV86 @ ( u1_struct_0 @ SV51 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV96 @ ( u1_struct_0 @ SV51 ) ) )
= $true )
| ( ( ~ ( r2_group_3 @ SV51 @ SV86 @ SV96 )
| ( r2_group_3 @ SV51 @ SV96 @ SV86 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6737]) ).
thf(6814,plain,
! [SV52: $i] :
( ( ( ~ ( v3_struct_0 @ SV52 ) )
= $false )
| ( ( ~ ( v1_group_1 @ SV52 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV52 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV52 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV52 ) )
= $true )
| ( ( ! [SY313: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY313 )
| ~ ( v1_group_1 @ SY313 ) )
| ~ ( v3_group_1 @ SY313 ) )
| ~ ( v4_group_1 @ SY313 ) )
| ~ ( l1_group_1 @ SY313 ) )
| ~ ( r1_group_6 @ SV52 @ SY313 )
| ( r1_group_6 @ SY313 @ SV52 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6738]) ).
thf(6815,plain,
! [SV53: $i] :
( ( ( v4_group_1 @ SV53 )
= $false )
| ( ( v3_struct_0 @ SV53 )
= $true )
| ( ( v3_group_1 @ SV53 )
= $false )
| ( ( ~ ( l1_group_1 @ SV53 ) )
= $true )
| ( ( ! [SY314: $i] :
( ~ ( m1_group_2 @ SY314 @ SV53 )
| ( ( k2_group_1 @ SY314 )
= ( k2_group_1 @ SV53 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6739]) ).
thf(6816,plain,
! [SV54: $i] :
( ( ( v4_group_1 @ SV54 )
= $false )
| ( ( v3_struct_0 @ SV54 )
= $true )
| ( ( v3_group_1 @ SV54 )
= $false )
| ( ( ~ ( l1_group_1 @ SV54 ) )
= $true )
| ( ( ! [SY315: $i] :
( ~ ( m1_subset_1 @ SY315 @ ( u1_struct_0 @ SV54 ) )
| ! [SY316: $i] :
( ~ ( m1_subset_1 @ SY316 @ ( u1_struct_0 @ SV54 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV54 @ SY315 @ SY316 )
!= ( k1_group_1 @ SV54 @ SY316 @ SY315 ) )
| ( ( k1_group_1 @ SV54 @ SY315 @ ( k3_group_1 @ SV54 @ SY316 ) )
= ( k1_group_1 @ SV54 @ ( k3_group_1 @ SV54 @ SY316 ) @ SY315 ) ) )
| ~ ( ( ( k1_group_1 @ SV54 @ SY315 @ ( k3_group_1 @ SV54 @ SY316 ) )
!= ( k1_group_1 @ SV54 @ ( k3_group_1 @ SV54 @ SY316 ) @ SY315 ) )
| ( ( k1_group_1 @ SV54 @ SY315 @ SY316 )
= ( k1_group_1 @ SV54 @ SY316 @ SY315 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6740]) ).
thf(6817,plain,
! [SV55: $i] :
( ( ( v4_group_1 @ SV55 )
= $false )
| ( ( v3_struct_0 @ SV55 )
= $true )
| ( ( v3_group_1 @ SV55 )
= $false )
| ( ( ~ ( l1_group_1 @ SV55 ) )
= $true )
| ( ( ! [SY317: $i] :
( ~ ( m1_subset_1 @ SY317 @ ( u1_struct_0 @ SV55 ) )
| ! [SY318: $i] :
( ~ ( m1_group_2 @ SY318 @ SV55 )
| ! [SY319: $i] :
( ~ ( m1_subset_1 @ SY319 @ ( u1_struct_0 @ SY318 ) )
| ( SY319 != SY317 )
| ( ( k3_group_1 @ SY318 @ SY319 )
= ( k3_group_1 @ SV55 @ SY317 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6741]) ).
thf(6818,plain,
! [SV56: $i] :
( ( ( v4_group_1 @ SV56 )
= $false )
| ( ( v3_struct_0 @ SV56 )
= $true )
| ( ( v3_group_1 @ SV56 )
= $false )
| ( ( ~ ( l1_group_1 @ SV56 ) )
= $true )
| ( ( ! [SY320: $i] :
( ~ ( m1_subset_1 @ SY320 @ ( u1_struct_0 @ SV56 ) )
| ! [SY321: $i] :
( ~ ( m1_subset_1 @ SY321 @ ( u1_struct_0 @ SV56 ) )
| ~ ~ ( ( ( k1_group_1 @ SV56 @ SY320 @ SY321 )
!= ( k2_group_1 @ SV56 ) )
| ( ( k1_group_1 @ SV56 @ SY321 @ SY320 )
!= ( k2_group_1 @ SV56 ) ) )
| ( SY321
= ( k3_group_1 @ SV56 @ SY320 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6742]) ).
thf(6819,plain,
! [SV57: $i] :
( ( ( v4_group_1 @ SV57 )
= $false )
| ( ( v3_struct_0 @ SV57 )
= $true )
| ( ( v3_group_1 @ SV57 )
= $false )
| ( ( ~ ( l1_group_1 @ SV57 ) )
= $true )
| ( ( ! [SY322: $i] :
( ~ ( m1_subset_1 @ SY322 @ ( u1_struct_0 @ SV57 ) )
| ( ( k2_group_3 @ SV57 @ SY322 @ SY322 )
= SY322 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6743]) ).
thf(6820,plain,
! [SV59: $i] :
( ( ( v4_group_1 @ SV59 )
= $false )
| ( ( v3_struct_0 @ SV59 )
= $true )
| ( ( v3_group_1 @ SV59 )
= $false )
| ( ( ~ ( l1_group_1 @ SV59 ) )
= $true )
| ( ( ! [SY324: $i] :
( ~ ( m1_subset_1 @ SY324 @ ( u1_struct_0 @ SV59 ) )
| ! [SY325: $i] :
( ~ ( m1_subset_1 @ SY325 @ ( u1_struct_0 @ SV59 ) )
| ~ ! [SY326: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY326 @ ( u1_struct_0 @ SV59 ) )
| ( ( k1_group_1 @ SV59 @ SY324 @ SY326 )
!= SY325 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6744]) ).
thf(6821,plain,
! [SV60: $i] :
( ( ( v4_group_1 @ SV60 )
= $false )
| ( ( v3_struct_0 @ SV60 )
= $true )
| ( ( v3_group_1 @ SV60 )
= $false )
| ( ( ~ ( l1_group_1 @ SV60 ) )
= $true )
| ( ( ! [SY327: $i] :
( ~ ( m1_subset_1 @ SY327 @ ( u1_struct_0 @ SV60 ) )
| ! [SY328: $i] :
( ~ ( m1_subset_1 @ SY328 @ ( u1_struct_0 @ SV60 ) )
| ~ ( ~ ( ( SY328
!= ( k3_group_1 @ SV60 @ SY327 ) )
| ~ ( ( ( k1_group_1 @ SV60 @ SY327 @ SY328 )
!= ( k2_group_1 @ SV60 ) )
| ( ( k1_group_1 @ SV60 @ SY328 @ SY327 )
!= ( k2_group_1 @ SV60 ) ) ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV60 @ SY327 @ SY328 )
!= ( k2_group_1 @ SV60 ) )
| ( ( k1_group_1 @ SV60 @ SY328 @ SY327 )
!= ( k2_group_1 @ SV60 ) ) )
| ( SY328
= ( k3_group_1 @ SV60 @ SY327 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6745]) ).
thf(6822,plain,
! [SV87: $i,SV61: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV61 )
| ~ ( v1_group_1 @ SV61 ) )
| ~ ( v3_group_1 @ SV61 ) )
| ~ ( v4_group_1 @ SV61 ) )
| ~ ( l1_group_1 @ SV61 ) )
| ~ ~ ( v3_struct_0 @ SV87 ) ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( r2_group_6 @ SV61 @ SV87 )
| ( r2_group_6 @ SV87 @ SV61 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6746]) ).
thf(6823,plain,
! [SV62: $i] :
( ( ( ~ ( v3_struct_0 @ SV62 ) )
= $false )
| ( ( ~ ( v1_group_1 @ SV62 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV62 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV62 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV62 ) )
= $true )
| ( ( ! [SY330: $i] :
( ~ ( m1_subset_1 @ SY330 @ ( u1_struct_0 @ SV62 ) )
| ( ( k8_funct_2 @ ( u1_struct_0 @ SV62 ) @ ( u1_struct_0 @ SV62 ) @ ( k6_autgroup @ SV62 @ ( k2_group_1 @ SV62 ) ) @ SY330 )
= SY330 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6747]) ).
thf(6824,plain,
! [SV97: $i,SV88: $i,SV63: $i] :
( ( ( v3_struct_0 @ SV63 )
= $true )
| ( ( ~ ( l1_group_1 @ SV63 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV88 @ ( u1_struct_0 @ SV63 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV97 @ ( u1_struct_0 @ SV63 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k1_group_1 @ SV63 @ SV88 @ SV97 ) @ ( u1_struct_0 @ SV63 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6748]) ).
thf(6825,plain,
! [SV64: $i] :
( ( ( v4_group_1 @ SV64 )
= $false )
| ( ( v3_struct_0 @ SV64 )
= $true )
| ( ( v3_group_1 @ SV64 )
= $false )
| ( ( ~ ( l1_group_1 @ SV64 ) )
= $true )
| ( ( ! [SY333: $i] :
( ~ ( m1_subset_1 @ SY333 @ ( u1_struct_0 @ SV64 ) )
| ( ( k2_group_5 @ SV64 @ SY333 @ SY333 )
= ( k2_group_1 @ SV64 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6749]) ).
thf(6826,plain,
! [SV66: $i] :
( ( ( v4_group_1 @ SV66 )
= $false )
| ( ( v3_struct_0 @ SV66 )
= $true )
| ( ( v3_group_1 @ SV66 )
= $false )
| ( ( ~ ( l1_group_1 @ SV66 ) )
= $true )
| ( ( ! [SY335: $i] :
( ~ ( m1_subset_1 @ SY335 @ ( u1_struct_0 @ SV66 ) )
| ! [SY336: $i] :
( ~ ( m1_subset_1 @ SY336 @ ( u1_struct_0 @ SV66 ) )
| ~ ( r1_group_3 @ SV66 @ SY335 @ SY336 )
| ( r1_group_3 @ SV66 @ SY336 @ SY335 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6750]) ).
thf(6827,plain,
! [SV67: $i] :
( ( ( v4_group_1 @ SV67 )
= $false )
| ( ( v3_struct_0 @ SV67 )
= $true )
| ( ( v3_group_1 @ SV67 )
= $false )
| ( ( ~ ( l1_group_1 @ SV67 ) )
= $true )
| ( ( ! [SY337: $i] :
( ~ ( m1_subset_1 @ SY337 @ ( u1_struct_0 @ SV67 ) )
| ( ( k3_group_1 @ SV67 @ ( k3_group_1 @ SV67 @ SY337 ) )
= SY337 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6751]) ).
thf(6828,plain,
! [SV68: $i] :
( ( ( v4_group_1 @ SV68 )
= $false )
| ( ( v3_struct_0 @ SV68 )
= $true )
| ( ( v3_group_1 @ SV68 )
= $false )
| ( ( ~ ( l1_group_1 @ SV68 ) )
= $true )
| ( ( ! [SY338: $i] :
( ~ ( m1_subset_1 @ SY338 @ ( u1_struct_0 @ SV68 ) )
| ( ( k2_group_3 @ SV68 @ SY338 @ ( k2_group_1 @ SV68 ) )
= SY338 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6752]) ).
thf(6829,plain,
! [SV70: $i,SV107: $i] :
( ( ( ~ ( m1_subset_1 @ SV107 @ ( u1_struct_0 @ SV70 ) )
| ~ ! [SY387: $i] :
( ~ ( m1_subset_1 @ SY387 @ ( u1_struct_0 @ SV70 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV70 @ SY387 @ SV107 )
!= SY387 )
| ( ( k1_group_1 @ SV70 @ SV107 @ SY387 )
!= SY387 ) )
| ~ ~ ! [SY388: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY388 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ SY387 @ SY388 )
!= SV107 ) )
| ( ( k1_group_1 @ SV70 @ SY388 @ SY387 )
!= SV107 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK14_SY342 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6753]) ).
thf(6830,plain,
! [SV70: $i] :
( ( ( m1_subset_1 @ ( sK15_SY372 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( ! [SY345: $i] :
( ~ ( m1_subset_1 @ SY345 @ ( u1_struct_0 @ SV70 ) )
| ~ ! [SY346: $i] :
( ~ ( m1_subset_1 @ SY346 @ ( u1_struct_0 @ SV70 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV70 @ SY346 @ SY345 )
!= SY346 )
| ( ( k1_group_1 @ SV70 @ SY345 @ SY346 )
!= SY346 ) )
| ~ ~ ! [SY347: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY347 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ SY346 @ SY347 )
!= SY345 ) )
| ( ( k1_group_1 @ SV70 @ SY347 @ SY346 )
!= SY345 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6754]) ).
thf(6831,plain,
! [SV70: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK20_SY376 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( sK15_SY372 @ SV70 ) ) @ ( sK20_SY376 @ SV70 ) )
= ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( k1_group_1 @ SV70 @ ( sK15_SY372 @ SV70 ) @ ( sK20_SY376 @ SV70 ) ) ) ) )
= $false )
| ( ( ! [SY345: $i] :
( ~ ( m1_subset_1 @ SY345 @ ( u1_struct_0 @ SV70 ) )
| ~ ! [SY346: $i] :
( ~ ( m1_subset_1 @ SY346 @ ( u1_struct_0 @ SV70 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV70 @ SY346 @ SY345 )
!= SY346 )
| ( ( k1_group_1 @ SV70 @ SY345 @ SY346 )
!= SY346 ) )
| ~ ~ ! [SY347: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY347 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ SY346 @ SY347 )
!= SY345 ) )
| ( ( k1_group_1 @ SV70 @ SY347 @ SY346 )
!= SY345 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[6755]) ).
thf(6832,plain,
! [SV71: $i] :
( ( ( v4_group_1 @ SV71 )
= $false )
| ( ( v3_struct_0 @ SV71 )
= $true )
| ( ( v3_group_1 @ SV71 )
= $false )
| ( ( ~ ( l1_group_1 @ SV71 ) )
= $true )
| ( ( ! [SY348: $i] :
( ~ ( m1_subset_1 @ SY348 @ ( u1_struct_0 @ SV71 ) )
| ! [SY349: $i] :
( ~ ( m1_subset_1 @ SY349 @ ( u1_struct_0 @ SV71 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SY348 @ SY349 ) @ ( k3_group_1 @ SV71 @ SY349 ) )
!= SY348 )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SY348 @ ( k3_group_1 @ SV71 @ SY349 ) ) @ SY349 )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY349 ) @ SY349 ) @ SY348 )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SY349 @ ( k3_group_1 @ SV71 @ SY349 ) ) @ SY348 )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ SY348 @ ( k1_group_1 @ SV71 @ SY349 @ ( k3_group_1 @ SV71 @ SY349 ) ) )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ SY348 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY349 ) @ SY349 ) )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY349 ) @ ( k1_group_1 @ SV71 @ SY349 @ SY348 ) )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ SY349 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY349 ) @ SY348 ) )
!= SY348 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6756]) ).
thf(6833,plain,
! [SV91: $i,SV72: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV72 )
| ~ ( v1_group_1 @ SV72 ) )
| ~ ( v3_group_1 @ SV72 ) )
| ~ ( v4_group_1 @ SV72 ) )
| ~ ( l1_group_1 @ SV72 ) )
| ~ ~ ( v3_struct_0 @ SV91 ) ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV91 ) )
= $true )
| ( ( r2_group_6 @ SV72 @ SV72 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6757]) ).
thf(6834,plain,
! [SV73: $i] :
( ( ( v4_group_1 @ SV73 )
= $false )
| ( ( v3_struct_0 @ SV73 )
= $true )
| ( ( v3_group_1 @ SV73 )
= $false )
| ( ( ~ ( l1_group_1 @ SV73 ) )
= $true )
| ( ( ! [SY351: $i] :
( ~ ( m1_subset_1 @ SY351 @ ( u1_struct_0 @ SV73 ) )
| ~ ( ( ( k2_group_3 @ SV73 @ SY351 @ ( k3_group_1 @ SV73 @ SY351 ) )
!= SY351 )
| ( ( k2_group_3 @ SV73 @ ( k3_group_1 @ SV73 @ SY351 ) @ SY351 )
!= ( k3_group_1 @ SV73 @ SY351 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6758]) ).
thf(6835,plain,
! [SV74: $i] :
( ( ( v4_group_1 @ SV74 )
= $false )
| ( ( v3_struct_0 @ SV74 )
= $true )
| ( ( v3_group_1 @ SV74 )
= $false )
| ( ( ~ ( l1_group_1 @ SV74 ) )
= $true )
| ( ( ! [SY352: $i] :
( ~ ( m1_subset_1 @ SY352 @ ( u1_struct_0 @ SV74 ) )
| ! [SY353: $i] :
( ~ ( m1_subset_1 @ SY353 @ ( u1_struct_0 @ SV74 ) )
| ! [SY354: $i] :
( ~ ( m1_subset_1 @ SY354 @ ( u1_struct_0 @ SV74 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV74 @ SY352 @ SY353 )
!= SY354 )
| ( SY353
= ( k1_group_1 @ SV74 @ ( k3_group_1 @ SV74 @ SY352 ) @ SY354 ) ) )
| ~ ( ( SY353
!= ( k1_group_1 @ SV74 @ ( k3_group_1 @ SV74 @ SY352 ) @ SY354 ) )
| ( ( k1_group_1 @ SV74 @ SY352 @ SY353 )
= SY354 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6759]) ).
thf(6836,plain,
! [SV75: $i] :
( ( ( v4_group_1 @ SV75 )
= $false )
| ( ( v3_struct_0 @ SV75 )
= $true )
| ( ( v3_group_1 @ SV75 )
= $false )
| ( ( ~ ( l1_group_1 @ SV75 ) )
= $true )
| ( ( ! [SY355: $i] :
( ~ ( m1_subset_1 @ SY355 @ ( u1_struct_0 @ SV75 ) )
| ( ( k3_group_1 @ SV75 @ SY355 )
!= ( k2_group_1 @ SV75 ) )
| ( SY355
= ( k2_group_1 @ SV75 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6760]) ).
thf(6837,plain,
! [SV76: $i] :
( ( ( v4_group_1 @ SV76 )
= $false )
| ( ( v3_struct_0 @ SV76 )
= $true )
| ( ( v3_group_1 @ SV76 )
= $false )
| ( ( ~ ( l1_group_1 @ SV76 ) )
= $true )
| ( ( ~ ( v5_group_1 @ ( k2_group_1 @ SV76 ) @ SV76 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6761]) ).
thf(6838,plain,
! [SV77: $i] :
( ( ( v4_group_1 @ SV77 )
= $false )
| ( ( v3_struct_0 @ SV77 )
= $true )
| ( ( v3_group_1 @ SV77 )
= $false )
| ( ( ~ ( l1_group_1 @ SV77 ) )
= $true )
| ( ( ! [SY356: $i] :
( ~ ( m1_subset_1 @ SY356 @ ( u1_struct_0 @ SV77 ) )
| ! [SY357: $i] :
( ~ ( m1_subset_1 @ SY357 @ ( u1_struct_0 @ SV77 ) )
| ~ ! [SY358: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY358 @ ( u1_struct_0 @ SV77 ) )
| ( ( k1_group_1 @ SV77 @ SY358 @ SY356 )
!= SY357 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6762]) ).
thf(6839,plain,
! [SV78: $i] :
( ( ( m1_group_2 @ ( sK18_SY359 @ SV78 ) @ SV78 )
= $true )
| ( ( v3_group_1 @ SV78 )
= $false )
| ( ( v3_struct_0 @ SV78 )
= $true )
| ( ( l1_group_1 @ SV78 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6763]) ).
thf(6840,plain,
! [SV2: $i] :
( ( ( v3_struct_0 @ SV2 )
= $true )
| ( ( ~ ( v1_group_1 @ SV2 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV2 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV2 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV2 ) )
= $true )
| ( ( ! [SY222: $i] :
( ~ ( m1_subset_1 @ SY222 @ ( u1_struct_0 @ SV2 ) )
| ! [SY223: $i] :
( ~ ( m1_subset_1 @ SY223 @ ( u1_struct_0 @ SV2 ) )
| ( ( k6_autgroup @ SV2 @ ( k1_group_1 @ SV2 @ SY222 @ SY223 ) )
= ( k7_funct_2 @ ( u1_struct_0 @ SV2 ) @ ( u1_struct_0 @ SV2 ) @ ( u1_struct_0 @ SV2 ) @ ( k6_autgroup @ SV2 @ SY222 ) @ ( k6_autgroup @ SV2 @ SY223 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6764]) ).
thf(6841,plain,
! [SV3: $i] :
( ( ( l1_group_1 @ SV3 )
= $false )
| ( ( v3_group_1 @ SV3 )
= $false )
| ( ( v3_struct_0 @ SV3 )
= $true )
| ( ( v4_group_1 @ SV3 )
= $false )
| ( ( ! [SY224: $i] :
( ~ ( m1_subset_1 @ SY224 @ ( u1_struct_0 @ SV3 ) )
| ! [SY225: $i] :
( ~ ( m1_subset_1 @ SY225 @ ( u1_struct_0 @ SV3 ) )
| ~ ( ( ( k1_group_1 @ SV3 @ SY224 @ SY225 )
= SY224 )
| ( ( k1_group_1 @ SV3 @ SY225 @ SY224 )
= SY224 ) )
| ( SY225
= ( k2_group_1 @ SV3 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6765]) ).
thf(6842,plain,
! [SV4: $i] :
( ( ( l1_group_1 @ SV4 )
= $false )
| ( ( v3_group_1 @ SV4 )
= $false )
| ( ( v3_struct_0 @ SV4 )
= $true )
| ( ( v4_group_1 @ SV4 )
= $false )
| ( ( ! [SY226: $i] :
( ~ ( m1_group_2 @ SY226 @ SV4 )
| ! [SY227: $i] :
( ~ ( m1_group_2 @ SY227 @ SV4 )
| ( ( k2_group_1 @ SY226 )
= ( k2_group_1 @ SY227 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6766]) ).
thf(6843,plain,
! [SV5: $i] :
( ( ( l1_group_1 @ SV5 )
= $false )
| ( ( v3_group_1 @ SV5 )
= $false )
| ( ( v3_struct_0 @ SV5 )
= $true )
| ( ( v4_group_1 @ SV5 )
= $false )
| ( ( ! [SY228: $i] :
( ~ ( m1_subset_1 @ SY228 @ ( u1_struct_0 @ SV5 ) )
| ! [SY229: $i] :
( ~ ( m1_subset_1 @ SY229 @ ( u1_struct_0 @ SV5 ) )
| ~ ( ( ( k2_group_3 @ SV5 @ ( k2_group_3 @ SV5 @ SY228 @ SY229 ) @ ( k3_group_1 @ SV5 @ SY229 ) )
!= SY228 )
| ( ( k2_group_3 @ SV5 @ ( k2_group_3 @ SV5 @ SY228 @ ( k3_group_1 @ SV5 @ SY229 ) ) @ SY229 )
!= SY228 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6767]) ).
thf(6844,plain,
! [SV6: $i] :
( ( ( l1_group_1 @ SV6 )
= $false )
| ( ( v3_group_1 @ SV6 )
= $false )
| ( ( v3_struct_0 @ SV6 )
= $true )
| ( ( v4_group_1 @ SV6 )
= $false )
| ( ( ! [SY230: $i] :
( ~ ( m1_subset_1 @ SY230 @ ( u1_struct_0 @ SV6 ) )
| ( ( k2_group_3 @ SV6 @ ( k2_group_1 @ SV6 ) @ SY230 )
= ( k2_group_1 @ SV6 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6768]) ).
thf(6845,plain,
! [SV7: $i] :
( ( ( l1_group_1 @ SV7 )
= $false )
| ( ( v3_group_1 @ SV7 )
= $false )
| ( ( v3_struct_0 @ SV7 )
= $true )
| ( ( v4_group_1 @ SV7 )
= $false )
| ( ( ! [SY231: $i] :
( ~ ( m1_subset_1 @ SY231 @ ( u1_struct_0 @ SV7 ) )
| ~ ( ( r2_group_3 @ SV7 @ SY231 @ ( k2_group_1 @ SV7 ) )
| ( r2_group_3 @ SV7 @ ( k2_group_1 @ SV7 ) @ SY231 ) )
| ( SY231
= ( k2_group_1 @ SV7 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6769]) ).
thf(6846,plain,
! [SV8: $i] :
( ( ( l1_group_1 @ SV8 )
= $false )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( ! [SY232: $i] :
( ~ ( m1_subset_1 @ SY232 @ ( u1_struct_0 @ SV8 ) )
| ! [SY233: $i] :
( ~ ( m1_subset_1 @ SY233 @ ( u1_struct_0 @ SV8 ) )
| ! [SY234: $i] :
( ~ ( m1_subset_1 @ SY234 @ ( u1_struct_0 @ SV8 ) )
| ~ ( ( ( k1_group_1 @ SV8 @ SY232 @ SY233 )
= ( k1_group_1 @ SV8 @ SY232 @ SY234 ) )
| ( ( k1_group_1 @ SV8 @ SY233 @ SY232 )
= ( k1_group_1 @ SV8 @ SY234 @ SY232 ) ) )
| ( SY233 = SY234 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6770]) ).
thf(6847,plain,
! [SV10: $i] :
( ( ( l1_group_1 @ SV10 )
= $false )
| ( ( v3_group_1 @ SV10 )
= $false )
| ( ( v3_struct_0 @ SV10 )
= $true )
| ( ( v4_group_1 @ SV10 )
= $false )
| ( ( ! [SY235: $i] :
( ~ ( m1_subset_1 @ SY235 @ ( u1_struct_0 @ SV10 ) )
| ! [SY236: $i] :
( ~ ( m1_subset_1 @ SY236 @ ( u1_struct_0 @ SV10 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV10 @ SY235 @ SY236 )
!= ( k1_group_1 @ SV10 @ SY236 @ SY235 ) )
| ( ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY235 ) @ ( k3_group_1 @ SV10 @ SY236 ) )
= ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY236 ) @ ( k3_group_1 @ SV10 @ SY235 ) ) ) )
| ~ ( ( ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY235 ) @ ( k3_group_1 @ SV10 @ SY236 ) )
!= ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY236 ) @ ( k3_group_1 @ SV10 @ SY235 ) ) )
| ( ( k1_group_1 @ SV10 @ SY235 @ SY236 )
= ( k1_group_1 @ SV10 @ SY236 @ SY235 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6771]) ).
thf(6848,plain,
! [SV11: $i] :
( ( ( v3_struct_0 @ SV11 )
= $true )
| ( ( ~ ( v1_group_1 @ SV11 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV11 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV11 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV11 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k3_autgroup @ SV11 ) )
| ~ ( v1_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( v3_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( v4_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( l1_group_1 @ ( k3_autgroup @ SV11 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6772]) ).
thf(6849,plain,
! [SV12: $i,SV102: $i,SV108: $i] :
( ( ( ~ ( m1_subset_1 @ SV108 @ ( u1_struct_0 @ SV102 ) )
| ( m1_subset_1 @ SV108 @ ( u1_struct_0 @ SV12 ) ) )
= $true )
| ( ( m1_group_2 @ SV102 @ SV12 )
= $false )
| ( ( v3_group_1 @ SV12 )
= $false )
| ( ( v3_struct_0 @ SV12 )
= $true )
| ( ( l1_group_1 @ SV12 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6773]) ).
thf(6850,plain,
! [SV13: $i] :
( ( ( l1_group_1 @ SV13 )
= $false )
| ( ( v3_group_1 @ SV13 )
= $false )
| ( ( v3_struct_0 @ SV13 )
= $true )
| ( ( v4_group_1 @ SV13 )
= $false )
| ( ( ! [SY239: $i] :
( ~ ( m1_subset_1 @ SY239 @ ( u1_struct_0 @ SV13 ) )
| ! [SY240: $i] :
( ~ ( m1_subset_1 @ SY240 @ ( u1_struct_0 @ SV13 ) )
| ~ ( ~ ~ ( ( ( k3_group_5 @ SV13 @ SY239 @ SY240 @ ( k2_group_1 @ SV13 ) )
!= ( k2_group_1 @ SV13 ) )
| ( ( k3_group_5 @ SV13 @ SY239 @ ( k2_group_1 @ SV13 ) @ SY240 )
!= ( k2_group_1 @ SV13 ) ) )
| ( ( k3_group_5 @ SV13 @ ( k2_group_1 @ SV13 ) @ SY239 @ SY240 )
!= ( k2_group_1 @ SV13 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6774]) ).
thf(6851,plain,
! [SV15: $i] :
( ( ( l1_group_1 @ SV15 )
= $false )
| ( ( v3_group_1 @ SV15 )
= $false )
| ( ( v3_struct_0 @ SV15 )
= $true )
| ( ( v4_group_1 @ SV15 )
= $false )
| ( ( ! [SY241: $i] :
( ~ ( m1_subset_1 @ SY241 @ ( u1_struct_0 @ SV15 ) )
| ! [SY242: $i] :
( ~ ( m1_subset_1 @ SY242 @ ( u1_struct_0 @ SV15 ) )
| ( ( k2_group_3 @ SV15 @ ( k3_group_1 @ SV15 @ SY241 ) @ SY242 )
= ( k3_group_1 @ SV15 @ ( k2_group_3 @ SV15 @ SY241 @ SY242 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6775]) ).
thf(6852,plain,
! [SV16: $i] :
( ( ( ~ ( ~ ( m1_subset_1 @ ( sK19_SY243 @ SV16 ) @ ( u1_struct_0 @ SV16 ) )
| ~ ! [SY383: $i] :
( ~ ( m1_subset_1 @ SY383 @ ( u1_struct_0 @ SV16 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV16 @ SY383 @ ( sK19_SY243 @ SV16 ) )
!= SY383 )
| ( ( k1_group_1 @ SV16 @ ( sK19_SY243 @ SV16 ) @ SY383 )
!= SY383 ) )
| ~ ~ ! [SY384: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY384 @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ SY383 @ SY384 )
!= ( sK19_SY243 @ SV16 ) ) )
| ( ( k1_group_1 @ SV16 @ SY384 @ SY383 )
!= ( sK19_SY243 @ SV16 ) ) ) ) ) ) )
= $true )
| ( ( v3_group_1 @ SV16 )
= $false )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6776]) ).
thf(6853,plain,
! [SV16: $i,SV106: $i] :
( ( ( ~ ( ~ ( m1_subset_1 @ SV106 @ ( u1_struct_0 @ SV16 ) )
| ~ ! [SY385: $i] :
( ~ ( m1_subset_1 @ SY385 @ ( u1_struct_0 @ SV16 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV16 @ SY385 @ SV106 )
!= SY385 )
| ( ( k1_group_1 @ SV16 @ SV106 @ SY385 )
!= SY385 ) )
| ~ ~ ! [SY386: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY386 @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ SY385 @ SY386 )
!= SV106 ) )
| ( ( k1_group_1 @ SV16 @ SY386 @ SY385 )
!= SV106 ) ) ) ) ) )
= $false )
| ( ( v3_group_1 @ SV16 )
= $true )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6777]) ).
thf(6854,plain,
! [SV17: $i] :
( ( ( l1_group_1 @ SV17 )
= $false )
| ( ( v3_group_1 @ SV17 )
= $false )
| ( ( v3_struct_0 @ SV17 )
= $true )
| ( ( v4_group_1 @ SV17 )
= $false )
| ( ( ! [SY249: $i] :
( ~ ( m1_subset_1 @ SY249 @ ( u1_struct_0 @ SV17 ) )
| ! [SY250: $i] :
( ~ ( m1_subset_1 @ SY250 @ ( u1_struct_0 @ SV17 ) )
| ( ( k2_group_3 @ SV17 @ SY249 @ SY250 )
!= ( k2_group_1 @ SV17 ) )
| ( SY249
= ( k2_group_1 @ SV17 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6778]) ).
thf(6855,plain,
! [SV18: $i] :
( ( ( l1_group_1 @ SV18 )
= $false )
| ( ( v3_group_1 @ SV18 )
= $false )
| ( ( v3_struct_0 @ SV18 )
= $true )
| ( ( v4_group_1 @ SV18 )
= $false )
| ( ( ! [SY251: $i] :
( ~ ( m1_subset_1 @ SY251 @ ( u1_struct_0 @ SV18 ) )
| ( r1_group_3 @ SV18 @ SY251 @ SY251 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6779]) ).
thf(6856,plain,
! [SV92: $i,SV79: $i,SV19: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV19 )
| ~ ( v3_group_1 @ SV19 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV19 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV19 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV79 @ ( u1_struct_0 @ SV19 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV92 @ ( u1_struct_0 @ SV19 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k2_group_3 @ SV19 @ SV79 @ SV92 ) @ ( u1_struct_0 @ SV19 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6780]) ).
thf(6857,plain,
! [SV21: $i] :
( ( ( l1_group_1 @ SV21 )
= $false )
| ( ( v3_group_1 @ SV21 )
= $false )
| ( ( v3_struct_0 @ SV21 )
= $true )
| ( ( v4_group_1 @ SV21 )
= $false )
| ( ( ! [SY254: $i] :
( ~ ( m1_subset_1 @ SY254 @ ( u1_struct_0 @ SV21 ) )
| ! [SY255: $i] :
( ~ ( m1_subset_1 @ SY255 @ ( u1_struct_0 @ SV21 ) )
| ! [SY256: $i] :
( ~ ( m1_subset_1 @ SY256 @ ( u1_struct_0 @ SV21 ) )
| ~ ~ ( ~ ( r2_group_3 @ SV21 @ SY254 @ SY255 )
| ~ ( r2_group_3 @ SV21 @ SY255 @ SY256 ) )
| ( r2_group_3 @ SV21 @ SY254 @ SY256 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6781]) ).
thf(6858,plain,
! [SV22: $i] :
( ( ( v3_struct_0 @ SV22 )
= $true )
| ( ( ~ ( v1_group_1 @ SV22 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV22 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV22 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV22 ) )
= $true )
| ( ( ! [SY257: $i] :
( ~ ~ ( ~ ( v1_group_1 @ SY257 )
| ~ ( m1_group_2 @ SY257 @ SV22 ) )
| ( ( u1_struct_0 @ SY257 )
!= ( u1_struct_0 @ SV22 ) )
| ( SY257 = SV22 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6782]) ).
thf(6859,plain,
! [SV23: $i] :
( ( ( l1_group_1 @ SV23 )
= $false )
| ( ( v3_group_1 @ SV23 )
= $false )
| ( ( v3_struct_0 @ SV23 )
= $true )
| ( ( v4_group_1 @ SV23 )
= $false )
| ( ( ! [SY258: $i] :
( ~ ( m1_subset_1 @ SY258 @ ( u1_struct_0 @ SV23 ) )
| ! [SY259: $i] :
( ~ ( m1_subset_1 @ SY259 @ ( u1_struct_0 @ SV23 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV23 @ SY258 @ SY259 )
!= ( k1_group_1 @ SV23 @ SY259 @ SY258 ) )
| ( ( k3_group_1 @ SV23 @ ( k1_group_1 @ SV23 @ SY258 @ SY259 ) )
= ( k1_group_1 @ SV23 @ ( k3_group_1 @ SV23 @ SY258 ) @ ( k3_group_1 @ SV23 @ SY259 ) ) ) )
| ~ ( ( ( k3_group_1 @ SV23 @ ( k1_group_1 @ SV23 @ SY258 @ SY259 ) )
!= ( k1_group_1 @ SV23 @ ( k3_group_1 @ SV23 @ SY258 ) @ ( k3_group_1 @ SV23 @ SY259 ) ) )
| ( ( k1_group_1 @ SV23 @ SY258 @ SY259 )
= ( k1_group_1 @ SV23 @ SY259 @ SY258 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6783]) ).
thf(6860,plain,
! [SV24: $i] :
( ( ( l1_group_1 @ SV24 )
= $false )
| ( ( v3_group_1 @ SV24 )
= $false )
| ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( v4_group_1 @ SV24 )
= $false )
| ( ( ! [SY260: $i] :
( ~ ( m1_subset_1 @ SY260 @ ( u1_struct_0 @ SV24 ) )
| ~ ( ( ( k2_group_5 @ SV24 @ ( k2_group_1 @ SV24 ) @ SY260 )
!= ( k2_group_1 @ SV24 ) )
| ( ( k2_group_5 @ SV24 @ SY260 @ ( k2_group_1 @ SV24 ) )
!= ( k2_group_1 @ SV24 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6784]) ).
thf(6861,plain,
! [SV25: $i] :
( ( ( l1_group_1 @ SV25 )
= $false )
| ( ( v3_group_1 @ SV25 )
= $false )
| ( ( v3_struct_0 @ SV25 )
= $true )
| ( ( v4_group_1 @ SV25 )
= $false )
| ( ( m1_group_2 @ SV25 @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6785]) ).
thf(6862,plain,
! [SV26: $i] :
( ( ( l1_group_1 @ SV26 )
= $false )
| ( ( v3_group_1 @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( v4_group_1 @ SV26 )
= $false )
| ( ( ! [SY261: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY261 )
| ~ ( v3_group_1 @ SY261 ) )
| ~ ( v4_group_1 @ SY261 ) )
| ~ ( l1_group_1 @ SY261 ) )
| ! [SY262: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY262 )
| ~ ( v3_group_1 @ SY262 ) )
| ~ ( v4_group_1 @ SY262 ) )
| ~ ( l1_group_1 @ SY262 ) )
| ~ ~ ( ~ ( m1_group_2 @ SV26 @ SY261 )
| ~ ( m1_group_2 @ SY261 @ SY262 ) )
| ( m1_group_2 @ SV26 @ SY262 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6786]) ).
thf(6863,plain,
! [SV28: $i] :
( ( ( m1_subset_1 @ ( sK16_SY265 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ! [SY268: $i] :
( ~ ( m1_subset_1 @ SY268 @ ( u1_struct_0 @ SV28 ) )
| ! [SY269: $i] :
( ~ ( m1_subset_1 @ SY269 @ ( u1_struct_0 @ SV28 ) )
| ~ ( ~ ~ ! [SY270: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY270 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY268 @ SY270 )
!= SY269 ) )
| ~ ~ ! [SY271: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY271 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY271 @ SY268 )
!= SY269 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6787]) ).
thf(6864,plain,
! [SV28: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK21_SY377 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
| ! [SY389: $i] :
( ~ ( m1_subset_1 @ SY389 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( sK21_SY377 @ SV28 ) ) @ SY389 )
= ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( k1_group_1 @ SV28 @ ( sK21_SY377 @ SV28 ) @ SY389 ) ) ) ) )
= $false )
| ( ( ~ ! [SY268: $i] :
( ~ ( m1_subset_1 @ SY268 @ ( u1_struct_0 @ SV28 ) )
| ! [SY269: $i] :
( ~ ( m1_subset_1 @ SY269 @ ( u1_struct_0 @ SV28 ) )
| ~ ( ~ ~ ! [SY270: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY270 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY268 @ SY270 )
!= SY269 ) )
| ~ ~ ! [SY271: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY271 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY271 @ SY268 )
!= SY269 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[6788]) ).
thf(6865,plain,
! [SV93: $i,SV81: $i,SV29: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV29 )
| ~ ( v3_group_1 @ SV29 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV29 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV29 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV81 @ ( u1_struct_0 @ SV29 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV93 @ ( u1_struct_0 @ SV29 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k2_group_5 @ SV29 @ SV81 @ SV93 ) @ ( u1_struct_0 @ SV29 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6789]) ).
thf(6866,plain,
! [SV94: $i,SV82: $i,SV30: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV30 )
| ~ ( v3_group_1 @ SV30 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV30 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV30 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV82 @ ( u1_struct_0 @ SV30 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV94 @ ( u1_struct_0 @ SV30 ) ) )
= $true )
| ( ( r2_group_3 @ SV30 @ SV82 @ SV82 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6790]) ).
thf(6867,plain,
! [SV31: $i] :
( ( ( l1_group_1 @ SV31 )
= $false )
| ( ( v3_group_1 @ SV31 )
= $false )
| ( ( v3_struct_0 @ SV31 )
= $true )
| ( ( v4_group_1 @ SV31 )
= $false )
| ( ( ! [SY276: $i] :
( ~ ( m1_subset_1 @ SY276 @ ( u1_struct_0 @ SV31 ) )
| ! [SY277: $i] :
( ~ ( m1_subset_1 @ SY277 @ ( u1_struct_0 @ SV31 ) )
| ( ( k3_group_1 @ SV31 @ SY276 )
!= ( k3_group_1 @ SV31 @ SY277 ) )
| ( SY276 = SY277 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6791]) ).
thf(6868,plain,
! [SV32: $i] :
( ( ( l1_group_1 @ SV32 )
= $false )
| ( ( v3_group_1 @ SV32 )
= $false )
| ( ( v3_struct_0 @ SV32 )
= $true )
| ( ( v4_group_1 @ SV32 )
= $false )
| ( ( ! [SY278: $i] :
( ~ ( m1_subset_1 @ SY278 @ ( u1_struct_0 @ SV32 ) )
| ~ ( ( ( k2_group_5 @ SV32 @ SY278 @ ( k3_group_1 @ SV32 @ SY278 ) )
!= ( k2_group_1 @ SV32 ) )
| ( ( k2_group_5 @ SV32 @ ( k3_group_1 @ SV32 @ SY278 ) @ SY278 )
!= ( k2_group_1 @ SV32 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6792]) ).
thf(6869,plain,
! [SV33: $i] :
( ( ( l1_group_1 @ SV33 )
= $false )
| ( ( v3_group_1 @ SV33 )
= $false )
| ( ( v3_struct_0 @ SV33 )
= $true )
| ( ( v4_group_1 @ SV33 )
= $false )
| ( ( ! [SY279: $i] :
( ~ ( m1_subset_1 @ SY279 @ ( u1_struct_0 @ SV33 ) )
| ! [SY280: $i] :
( ~ ( m1_subset_1 @ SY280 @ ( u1_struct_0 @ SV33 ) )
| ! [SY281: $i] :
( ~ ( m1_subset_1 @ SY281 @ ( u1_struct_0 @ SV33 ) )
| ( ( k2_group_3 @ SV33 @ SY279 @ SY280 )
!= ( k2_group_3 @ SV33 @ SY281 @ SY280 ) )
| ( SY279 = SY281 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6793]) ).
thf(6870,plain,
! [SV34: $i] :
( ( ( l1_group_1 @ SV34 )
= $false )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( v4_group_1 @ SV34 )
= $false )
| ( ( ! [SY282: $i] :
( ~ ( m1_subset_1 @ SY282 @ ( u1_struct_0 @ SV34 ) )
| ! [SY283: $i] :
( ~ ( m1_subset_1 @ SY283 @ ( u1_struct_0 @ SV34 ) )
| ~ ( ( ( k1_group_1 @ SV34 @ SY282 @ SY283 )
= ( k2_group_1 @ SV34 ) )
| ( ( k1_group_1 @ SV34 @ SY283 @ SY282 )
= ( k2_group_1 @ SV34 ) ) )
| ~ ( ( SY282
!= ( k3_group_1 @ SV34 @ SY283 ) )
| ( SY283
!= ( k3_group_1 @ SV34 @ SY282 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6794]) ).
thf(6871,plain,
! [SV83: $i,SV35: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV35 )
| ~ ( v3_group_1 @ SV35 ) )
| ~ ( v4_group_1 @ SV35 ) )
| ~ ( l1_group_1 @ SV35 ) ) )
= $false )
| ( ( ~ ~ ( v3_struct_0 @ SV83 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV83 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV83 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV83 ) )
= $true )
| ( ( r1_group_6 @ SV35 @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6795]) ).
thf(6872,plain,
! [SV36: $i] :
( ( ( l1_group_1 @ SV36 )
= $false )
| ( ( v3_group_1 @ SV36 )
= $false )
| ( ( v3_struct_0 @ SV36 )
= $true )
| ( ( v4_group_1 @ SV36 )
= $false )
| ( ( ! [SY285: $i] :
( ~ ( m1_subset_1 @ SY285 @ ( u1_struct_0 @ SV36 ) )
| ! [SY286: $i] :
( ~ ( m1_subset_1 @ SY286 @ ( u1_struct_0 @ SV36 ) )
| ! [SY287: $i] :
( ~ ( m1_subset_1 @ SY287 @ ( u1_struct_0 @ SV36 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV36 @ SY285 @ SY286 )
!= SY287 )
| ( SY285
= ( k1_group_1 @ SV36 @ SY287 @ ( k3_group_1 @ SV36 @ SY286 ) ) ) )
| ~ ( ( SY285
!= ( k1_group_1 @ SV36 @ SY287 @ ( k3_group_1 @ SV36 @ SY286 ) ) )
| ( ( k1_group_1 @ SV36 @ SY285 @ SY286 )
= SY287 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6796]) ).
thf(6873,plain,
! [SV37: $i] :
( ( ( l1_group_1 @ SV37 )
= $false )
| ( ( v3_group_1 @ SV37 )
= $false )
| ( ( v3_struct_0 @ SV37 )
= $true )
| ( ( v4_group_1 @ SV37 )
= $false )
| ( ( ! [SY288: $i] :
( ~ ( m1_group_2 @ SY288 @ SV37 )
| ( v4_group_1 @ SY288 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6797]) ).
thf(6874,plain,
! [SV38: $i,SV103: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV103 )
| ~ ( v3_group_1 @ SV103 ) )
| ~ ( l1_group_1 @ SV103 ) )
= $false )
| ( ( m1_group_2 @ SV103 @ SV38 )
= $false )
| ( ( v3_group_1 @ SV38 )
= $false )
| ( ( v3_struct_0 @ SV38 )
= $true )
| ( ( l1_group_1 @ SV38 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6798]) ).
thf(6875,plain,
! [SV41: $i] :
( ( ( l1_group_1 @ SV41 )
= $false )
| ( ( v3_group_1 @ SV41 )
= $false )
| ( ( v3_struct_0 @ SV41 )
= $true )
| ( ( v4_group_1 @ SV41 )
= $false )
| ( ( ! [SY291: $i] :
( ~ ( m1_subset_1 @ SY291 @ ( u1_struct_0 @ SV41 ) )
| ! [SY292: $i] :
( ~ ( m1_subset_1 @ SY292 @ ( u1_struct_0 @ SV41 ) )
| ( ( k3_group_1 @ SV41 @ ( k2_group_5 @ SV41 @ SY291 @ SY292 ) )
= ( k2_group_5 @ SV41 @ SY292 @ SY291 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6799]) ).
thf(6876,plain,
! [SV42: $i] :
( ( ( l1_group_1 @ SV42 )
= $false )
| ( ( v3_group_1 @ SV42 )
= $false )
| ( ( v3_struct_0 @ SV42 )
= $true )
| ( ( v4_group_1 @ SV42 )
= $false )
| ( ( ! [SY293: $i] :
( ~ ( m1_subset_1 @ SY293 @ ( u1_struct_0 @ SV42 ) )
| ! [SY294: $i] :
( ~ ( m1_subset_1 @ SY294 @ ( u1_struct_0 @ SV42 ) )
| ( ( k3_group_5 @ SV42 @ SY293 @ SY293 @ SY294 )
= ( k2_group_1 @ SV42 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6800]) ).
thf(6877,plain,
! [SV104: $i,SV43: $i] :
( ( ( ~ ! [SY375: $i] :
( ~ ( m1_subset_1 @ SY375 @ ( u1_struct_0 @ SV43 ) )
| ~ ( ( ( k1_group_1 @ SV43 @ SY375 @ SV104 )
!= SY375 )
| ( ( k1_group_1 @ SV43 @ SV104 @ SY375 )
!= SY375 ) ) ) )
= $true )
| ( ( SV104
= ( k2_group_1 @ SV43 ) )
= $true )
| ( ( m1_subset_1 @ SV104 @ ( u1_struct_0 @ SV43 ) )
= $false )
| ( ( v3_group_1 @ SV43 )
= $false )
| ( ( v3_struct_0 @ SV43 )
= $true )
| ( ( l1_group_1 @ SV43 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6801]) ).
thf(6878,plain,
( ( ~ ( l1_group_1 @ sK6_SX0 )
| ~ ~ ( v3_struct_0 @ sK6_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6802]) ).
thf(6879,plain,
! [SV44: $i,SV105: $i] :
( ( ( m1_subset_1 @ SV105 @ ( u1_struct_0 @ SV44 ) )
= $false )
| ( ( ! [SY379: $i] :
( ~ ( m1_subset_1 @ SY379 @ ( u1_struct_0 @ SV44 ) )
| ! [SY380: $i] :
( ~ ( m1_subset_1 @ SY380 @ ( u1_struct_0 @ SV44 ) )
| ( ( k1_group_1 @ SV44 @ ( k1_group_1 @ SV44 @ SV105 @ SY379 ) @ SY380 )
= ( k1_group_1 @ SV44 @ SV105 @ ( k1_group_1 @ SV44 @ SY379 @ SY380 ) ) ) ) ) )
= $true )
| ( ( v4_group_1 @ SV44 )
= $false )
| ( ( v3_struct_0 @ SV44 )
= $true )
| ( ( l1_group_1 @ SV44 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6804]) ).
thf(6880,plain,
! [SV44: $i] :
( ( ( m1_subset_1 @ ( sK17_SY300 @ SV44 ) @ ( u1_struct_0 @ SV44 ) )
= $true )
| ( ( v4_group_1 @ SV44 )
= $true )
| ( ( v3_struct_0 @ SV44 )
= $true )
| ( ( l1_group_1 @ SV44 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6805]) ).
thf(6881,plain,
! [SV44: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK22_SY381 @ SV44 ) @ ( u1_struct_0 @ SV44 ) )
| ! [SY390: $i] :
( ~ ( m1_subset_1 @ SY390 @ ( u1_struct_0 @ SV44 ) )
| ( ( k1_group_1 @ SV44 @ ( k1_group_1 @ SV44 @ ( sK17_SY300 @ SV44 ) @ ( sK22_SY381 @ SV44 ) ) @ SY390 )
= ( k1_group_1 @ SV44 @ ( sK17_SY300 @ SV44 ) @ ( k1_group_1 @ SV44 @ ( sK22_SY381 @ SV44 ) @ SY390 ) ) ) ) )
= $false )
| ( ( v4_group_1 @ SV44 )
= $true )
| ( ( v3_struct_0 @ SV44 )
= $true )
| ( ( l1_group_1 @ SV44 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[6806]) ).
thf(6882,plain,
! [SV45: $i] :
( ( ( l1_group_1 @ SV45 )
= $false )
| ( ( v3_group_1 @ SV45 )
= $false )
| ( ( v3_struct_0 @ SV45 )
= $true )
| ( ( v4_group_1 @ SV45 )
= $false )
| ( ( ! [SY303: $i] :
( ~ ( m1_subset_1 @ SY303 @ ( u1_struct_0 @ SV45 ) )
| ! [SY304: $i] :
( ~ ( m1_subset_1 @ SY304 @ ( u1_struct_0 @ SV45 ) )
| ( ( k3_group_1 @ SV45 @ ( k1_group_1 @ SV45 @ SY303 @ SY304 ) )
= ( k1_group_1 @ SV45 @ ( k3_group_1 @ SV45 @ SY304 ) @ ( k3_group_1 @ SV45 @ SY303 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6807]) ).
thf(6883,plain,
! [SV46: $i] :
( ( ( v3_struct_0 @ SV46 )
= $true )
| ( ( ~ ( v1_group_1 @ SV46 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV46 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV46 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV46 ) )
= $true )
| ( ( ( k6_autgroup @ SV46 @ ( k2_group_1 @ SV46 ) )
= ( k6_partfun1 @ ( u1_struct_0 @ SV46 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6808]) ).
thf(6884,plain,
! [SV98: $i,SV95: $i,SV84: $i,SV47: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV47 )
| ~ ( v3_group_1 @ SV47 ) )
| ~ ( v4_group_1 @ SV47 ) )
| ~ ( l1_group_1 @ SV47 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV84 @ ( u1_struct_0 @ SV47 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV95 @ ( u1_struct_0 @ SV47 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV98 @ ( u1_struct_0 @ SV47 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k3_group_5 @ SV47 @ SV84 @ SV95 @ SV98 ) @ ( u1_struct_0 @ SV47 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6809]) ).
thf(6885,plain,
! [SV48: $i] :
( ( ( l1_group_1 @ SV48 )
= $false )
| ( ( v3_group_1 @ SV48 )
= $false )
| ( ( v3_struct_0 @ SV48 )
= $true )
| ( ( v4_group_1 @ SV48 )
= $false )
| ( ( ! [SY308: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY308 )
| ~ ( v3_group_1 @ SY308 ) )
| ~ ( v4_group_1 @ SY308 ) )
| ~ ( l1_group_1 @ SY308 ) )
| ! [SY309: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY309 )
| ~ ( v3_group_1 @ SY309 ) )
| ~ ( v4_group_1 @ SY309 ) )
| ~ ( l1_group_1 @ SY309 ) )
| ~ ~ ( ~ ( r1_group_6 @ SV48 @ SY308 )
| ~ ( r1_group_6 @ SY308 @ SY309 ) )
| ( r1_group_6 @ SV48 @ SY309 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6810]) ).
thf(6886,plain,
! [SV85: $i,SV49: $i] :
( ( ( ~ ( v3_struct_0 @ SV49 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV49 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV49 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV49 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV85 @ ( u1_struct_0 @ SV49 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k3_group_1 @ SV49 @ SV85 ) @ ( u1_struct_0 @ SV49 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6811]) ).
thf(6887,plain,
! [SV50: $i] :
( ( ( l1_group_1 @ SV50 )
= $false )
| ( ( v3_group_1 @ SV50 )
= $false )
| ( ( v3_struct_0 @ SV50 )
= $true )
| ( ( v4_group_1 @ SV50 )
= $false )
| ( ( ( k3_group_1 @ SV50 @ ( k2_group_1 @ SV50 ) )
= ( k2_group_1 @ SV50 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6812]) ).
thf(6888,plain,
! [SV96: $i,SV86: $i,SV51: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV51 )
| ~ ( v3_group_1 @ SV51 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV51 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV51 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV86 @ ( u1_struct_0 @ SV51 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV96 @ ( u1_struct_0 @ SV51 ) ) )
= $true )
| ( ( ~ ( r2_group_3 @ SV51 @ SV86 @ SV96 )
| ( r2_group_3 @ SV51 @ SV96 @ SV86 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6813]) ).
thf(6889,plain,
! [SV52: $i] :
( ( ( v3_struct_0 @ SV52 )
= $true )
| ( ( ~ ( v1_group_1 @ SV52 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV52 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV52 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV52 ) )
= $true )
| ( ( ! [SY313: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY313 )
| ~ ( v1_group_1 @ SY313 ) )
| ~ ( v3_group_1 @ SY313 ) )
| ~ ( v4_group_1 @ SY313 ) )
| ~ ( l1_group_1 @ SY313 ) )
| ~ ( r1_group_6 @ SV52 @ SY313 )
| ( r1_group_6 @ SY313 @ SV52 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6814]) ).
thf(6890,plain,
! [SV53: $i] :
( ( ( l1_group_1 @ SV53 )
= $false )
| ( ( v3_group_1 @ SV53 )
= $false )
| ( ( v3_struct_0 @ SV53 )
= $true )
| ( ( v4_group_1 @ SV53 )
= $false )
| ( ( ! [SY314: $i] :
( ~ ( m1_group_2 @ SY314 @ SV53 )
| ( ( k2_group_1 @ SY314 )
= ( k2_group_1 @ SV53 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6815]) ).
thf(6891,plain,
! [SV54: $i] :
( ( ( l1_group_1 @ SV54 )
= $false )
| ( ( v3_group_1 @ SV54 )
= $false )
| ( ( v3_struct_0 @ SV54 )
= $true )
| ( ( v4_group_1 @ SV54 )
= $false )
| ( ( ! [SY315: $i] :
( ~ ( m1_subset_1 @ SY315 @ ( u1_struct_0 @ SV54 ) )
| ! [SY316: $i] :
( ~ ( m1_subset_1 @ SY316 @ ( u1_struct_0 @ SV54 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV54 @ SY315 @ SY316 )
!= ( k1_group_1 @ SV54 @ SY316 @ SY315 ) )
| ( ( k1_group_1 @ SV54 @ SY315 @ ( k3_group_1 @ SV54 @ SY316 ) )
= ( k1_group_1 @ SV54 @ ( k3_group_1 @ SV54 @ SY316 ) @ SY315 ) ) )
| ~ ( ( ( k1_group_1 @ SV54 @ SY315 @ ( k3_group_1 @ SV54 @ SY316 ) )
!= ( k1_group_1 @ SV54 @ ( k3_group_1 @ SV54 @ SY316 ) @ SY315 ) )
| ( ( k1_group_1 @ SV54 @ SY315 @ SY316 )
= ( k1_group_1 @ SV54 @ SY316 @ SY315 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6816]) ).
thf(6892,plain,
! [SV55: $i] :
( ( ( l1_group_1 @ SV55 )
= $false )
| ( ( v3_group_1 @ SV55 )
= $false )
| ( ( v3_struct_0 @ SV55 )
= $true )
| ( ( v4_group_1 @ SV55 )
= $false )
| ( ( ! [SY317: $i] :
( ~ ( m1_subset_1 @ SY317 @ ( u1_struct_0 @ SV55 ) )
| ! [SY318: $i] :
( ~ ( m1_group_2 @ SY318 @ SV55 )
| ! [SY319: $i] :
( ~ ( m1_subset_1 @ SY319 @ ( u1_struct_0 @ SY318 ) )
| ( SY319 != SY317 )
| ( ( k3_group_1 @ SY318 @ SY319 )
= ( k3_group_1 @ SV55 @ SY317 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6817]) ).
thf(6893,plain,
! [SV56: $i] :
( ( ( l1_group_1 @ SV56 )
= $false )
| ( ( v3_group_1 @ SV56 )
= $false )
| ( ( v3_struct_0 @ SV56 )
= $true )
| ( ( v4_group_1 @ SV56 )
= $false )
| ( ( ! [SY320: $i] :
( ~ ( m1_subset_1 @ SY320 @ ( u1_struct_0 @ SV56 ) )
| ! [SY321: $i] :
( ~ ( m1_subset_1 @ SY321 @ ( u1_struct_0 @ SV56 ) )
| ~ ~ ( ( ( k1_group_1 @ SV56 @ SY320 @ SY321 )
!= ( k2_group_1 @ SV56 ) )
| ( ( k1_group_1 @ SV56 @ SY321 @ SY320 )
!= ( k2_group_1 @ SV56 ) ) )
| ( SY321
= ( k3_group_1 @ SV56 @ SY320 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6818]) ).
thf(6894,plain,
! [SV57: $i] :
( ( ( l1_group_1 @ SV57 )
= $false )
| ( ( v3_group_1 @ SV57 )
= $false )
| ( ( v3_struct_0 @ SV57 )
= $true )
| ( ( v4_group_1 @ SV57 )
= $false )
| ( ( ! [SY322: $i] :
( ~ ( m1_subset_1 @ SY322 @ ( u1_struct_0 @ SV57 ) )
| ( ( k2_group_3 @ SV57 @ SY322 @ SY322 )
= SY322 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6819]) ).
thf(6895,plain,
! [SV59: $i] :
( ( ( l1_group_1 @ SV59 )
= $false )
| ( ( v3_group_1 @ SV59 )
= $false )
| ( ( v3_struct_0 @ SV59 )
= $true )
| ( ( v4_group_1 @ SV59 )
= $false )
| ( ( ! [SY324: $i] :
( ~ ( m1_subset_1 @ SY324 @ ( u1_struct_0 @ SV59 ) )
| ! [SY325: $i] :
( ~ ( m1_subset_1 @ SY325 @ ( u1_struct_0 @ SV59 ) )
| ~ ! [SY326: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY326 @ ( u1_struct_0 @ SV59 ) )
| ( ( k1_group_1 @ SV59 @ SY324 @ SY326 )
!= SY325 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6820]) ).
thf(6896,plain,
! [SV60: $i] :
( ( ( l1_group_1 @ SV60 )
= $false )
| ( ( v3_group_1 @ SV60 )
= $false )
| ( ( v3_struct_0 @ SV60 )
= $true )
| ( ( v4_group_1 @ SV60 )
= $false )
| ( ( ! [SY327: $i] :
( ~ ( m1_subset_1 @ SY327 @ ( u1_struct_0 @ SV60 ) )
| ! [SY328: $i] :
( ~ ( m1_subset_1 @ SY328 @ ( u1_struct_0 @ SV60 ) )
| ~ ( ~ ( ( SY328
!= ( k3_group_1 @ SV60 @ SY327 ) )
| ~ ( ( ( k1_group_1 @ SV60 @ SY327 @ SY328 )
!= ( k2_group_1 @ SV60 ) )
| ( ( k1_group_1 @ SV60 @ SY328 @ SY327 )
!= ( k2_group_1 @ SV60 ) ) ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV60 @ SY327 @ SY328 )
!= ( k2_group_1 @ SV60 ) )
| ( ( k1_group_1 @ SV60 @ SY328 @ SY327 )
!= ( k2_group_1 @ SV60 ) ) )
| ( SY328
= ( k3_group_1 @ SV60 @ SY327 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6821]) ).
thf(6897,plain,
! [SV87: $i,SV61: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV61 )
| ~ ( v1_group_1 @ SV61 ) )
| ~ ( v3_group_1 @ SV61 ) )
| ~ ( v4_group_1 @ SV61 ) )
| ~ ( l1_group_1 @ SV61 ) )
| ~ ~ ( v3_struct_0 @ SV87 ) ) )
= $false )
| ( ( ~ ( v1_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( r2_group_6 @ SV61 @ SV87 )
| ( r2_group_6 @ SV87 @ SV61 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6822]) ).
thf(6898,plain,
! [SV62: $i] :
( ( ( v3_struct_0 @ SV62 )
= $true )
| ( ( ~ ( v1_group_1 @ SV62 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV62 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV62 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV62 ) )
= $true )
| ( ( ! [SY330: $i] :
( ~ ( m1_subset_1 @ SY330 @ ( u1_struct_0 @ SV62 ) )
| ( ( k8_funct_2 @ ( u1_struct_0 @ SV62 ) @ ( u1_struct_0 @ SV62 ) @ ( k6_autgroup @ SV62 @ ( k2_group_1 @ SV62 ) ) @ SY330 )
= SY330 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6823]) ).
thf(6899,plain,
! [SV97: $i,SV88: $i,SV63: $i] :
( ( ( l1_group_1 @ SV63 )
= $false )
| ( ( v3_struct_0 @ SV63 )
= $true )
| ( ( ~ ( m1_subset_1 @ SV88 @ ( u1_struct_0 @ SV63 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV97 @ ( u1_struct_0 @ SV63 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k1_group_1 @ SV63 @ SV88 @ SV97 ) @ ( u1_struct_0 @ SV63 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6824]) ).
thf(6900,plain,
! [SV64: $i] :
( ( ( l1_group_1 @ SV64 )
= $false )
| ( ( v3_group_1 @ SV64 )
= $false )
| ( ( v3_struct_0 @ SV64 )
= $true )
| ( ( v4_group_1 @ SV64 )
= $false )
| ( ( ! [SY333: $i] :
( ~ ( m1_subset_1 @ SY333 @ ( u1_struct_0 @ SV64 ) )
| ( ( k2_group_5 @ SV64 @ SY333 @ SY333 )
= ( k2_group_1 @ SV64 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6825]) ).
thf(6901,plain,
! [SV66: $i] :
( ( ( l1_group_1 @ SV66 )
= $false )
| ( ( v3_group_1 @ SV66 )
= $false )
| ( ( v3_struct_0 @ SV66 )
= $true )
| ( ( v4_group_1 @ SV66 )
= $false )
| ( ( ! [SY335: $i] :
( ~ ( m1_subset_1 @ SY335 @ ( u1_struct_0 @ SV66 ) )
| ! [SY336: $i] :
( ~ ( m1_subset_1 @ SY336 @ ( u1_struct_0 @ SV66 ) )
| ~ ( r1_group_3 @ SV66 @ SY335 @ SY336 )
| ( r1_group_3 @ SV66 @ SY336 @ SY335 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6826]) ).
thf(6902,plain,
! [SV67: $i] :
( ( ( l1_group_1 @ SV67 )
= $false )
| ( ( v3_group_1 @ SV67 )
= $false )
| ( ( v3_struct_0 @ SV67 )
= $true )
| ( ( v4_group_1 @ SV67 )
= $false )
| ( ( ! [SY337: $i] :
( ~ ( m1_subset_1 @ SY337 @ ( u1_struct_0 @ SV67 ) )
| ( ( k3_group_1 @ SV67 @ ( k3_group_1 @ SV67 @ SY337 ) )
= SY337 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6827]) ).
thf(6903,plain,
! [SV68: $i] :
( ( ( l1_group_1 @ SV68 )
= $false )
| ( ( v3_group_1 @ SV68 )
= $false )
| ( ( v3_struct_0 @ SV68 )
= $true )
| ( ( v4_group_1 @ SV68 )
= $false )
| ( ( ! [SY338: $i] :
( ~ ( m1_subset_1 @ SY338 @ ( u1_struct_0 @ SV68 ) )
| ( ( k2_group_3 @ SV68 @ SY338 @ ( k2_group_1 @ SV68 ) )
= SY338 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6828]) ).
thf(6904,plain,
! [SV70: $i,SV107: $i] :
( ( ( ~ ( m1_subset_1 @ SV107 @ ( u1_struct_0 @ SV70 ) ) )
= $true )
| ( ( ~ ! [SY387: $i] :
( ~ ( m1_subset_1 @ SY387 @ ( u1_struct_0 @ SV70 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV70 @ SY387 @ SV107 )
!= SY387 )
| ( ( k1_group_1 @ SV70 @ SV107 @ SY387 )
!= SY387 ) )
| ~ ~ ! [SY388: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY388 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ SY387 @ SY388 )
!= SV107 ) )
| ( ( k1_group_1 @ SV70 @ SY388 @ SY387 )
!= SV107 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK14_SY342 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6829]) ).
thf(6905,plain,
! [SV70: $i] :
( ( ( ! [SY345: $i] :
( ~ ( m1_subset_1 @ SY345 @ ( u1_struct_0 @ SV70 ) )
| ~ ! [SY346: $i] :
( ~ ( m1_subset_1 @ SY346 @ ( u1_struct_0 @ SV70 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV70 @ SY346 @ SY345 )
!= SY346 )
| ( ( k1_group_1 @ SV70 @ SY345 @ SY346 )
!= SY346 ) )
| ~ ~ ! [SY347: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY347 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ SY346 @ SY347 )
!= SY345 ) )
| ( ( k1_group_1 @ SV70 @ SY347 @ SY346 )
!= SY345 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK15_SY372 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6830]) ).
thf(6906,plain,
! [SV70: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK20_SY376 @ SV70 ) @ ( u1_struct_0 @ SV70 ) ) )
= $false )
| ( ( ! [SY345: $i] :
( ~ ( m1_subset_1 @ SY345 @ ( u1_struct_0 @ SV70 ) )
| ~ ! [SY346: $i] :
( ~ ( m1_subset_1 @ SY346 @ ( u1_struct_0 @ SV70 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV70 @ SY346 @ SY345 )
!= SY346 )
| ( ( k1_group_1 @ SV70 @ SY345 @ SY346 )
!= SY346 ) )
| ~ ~ ! [SY347: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY347 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ SY346 @ SY347 )
!= SY345 ) )
| ( ( k1_group_1 @ SV70 @ SY347 @ SY346 )
!= SY345 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6831]) ).
thf(6907,plain,
! [SV70: $i] :
( ( ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( sK15_SY372 @ SV70 ) ) @ ( sK20_SY376 @ SV70 ) )
= ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( k1_group_1 @ SV70 @ ( sK15_SY372 @ SV70 ) @ ( sK20_SY376 @ SV70 ) ) ) )
= $false )
| ( ( ! [SY345: $i] :
( ~ ( m1_subset_1 @ SY345 @ ( u1_struct_0 @ SV70 ) )
| ~ ! [SY346: $i] :
( ~ ( m1_subset_1 @ SY346 @ ( u1_struct_0 @ SV70 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV70 @ SY346 @ SY345 )
!= SY346 )
| ( ( k1_group_1 @ SV70 @ SY345 @ SY346 )
!= SY346 ) )
| ~ ~ ! [SY347: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY347 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ SY346 @ SY347 )
!= SY345 ) )
| ( ( k1_group_1 @ SV70 @ SY347 @ SY346 )
!= SY345 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6831]) ).
thf(6908,plain,
! [SV71: $i] :
( ( ( l1_group_1 @ SV71 )
= $false )
| ( ( v3_group_1 @ SV71 )
= $false )
| ( ( v3_struct_0 @ SV71 )
= $true )
| ( ( v4_group_1 @ SV71 )
= $false )
| ( ( ! [SY348: $i] :
( ~ ( m1_subset_1 @ SY348 @ ( u1_struct_0 @ SV71 ) )
| ! [SY349: $i] :
( ~ ( m1_subset_1 @ SY349 @ ( u1_struct_0 @ SV71 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SY348 @ SY349 ) @ ( k3_group_1 @ SV71 @ SY349 ) )
!= SY348 )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SY348 @ ( k3_group_1 @ SV71 @ SY349 ) ) @ SY349 )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY349 ) @ SY349 ) @ SY348 )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SY349 @ ( k3_group_1 @ SV71 @ SY349 ) ) @ SY348 )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ SY348 @ ( k1_group_1 @ SV71 @ SY349 @ ( k3_group_1 @ SV71 @ SY349 ) ) )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ SY348 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY349 ) @ SY349 ) )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY349 ) @ ( k1_group_1 @ SV71 @ SY349 @ SY348 ) )
!= SY348 ) )
| ( ( k1_group_1 @ SV71 @ SY349 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY349 ) @ SY348 ) )
!= SY348 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6832]) ).
thf(6909,plain,
! [SV91: $i,SV72: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV72 )
| ~ ( v1_group_1 @ SV72 ) )
| ~ ( v3_group_1 @ SV72 ) )
| ~ ( v4_group_1 @ SV72 ) )
| ~ ( l1_group_1 @ SV72 ) )
| ~ ~ ( v3_struct_0 @ SV91 ) ) )
= $false )
| ( ( ~ ( v1_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV91 ) )
= $true )
| ( ( r2_group_6 @ SV72 @ SV72 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6833]) ).
thf(6910,plain,
! [SV73: $i] :
( ( ( l1_group_1 @ SV73 )
= $false )
| ( ( v3_group_1 @ SV73 )
= $false )
| ( ( v3_struct_0 @ SV73 )
= $true )
| ( ( v4_group_1 @ SV73 )
= $false )
| ( ( ! [SY351: $i] :
( ~ ( m1_subset_1 @ SY351 @ ( u1_struct_0 @ SV73 ) )
| ~ ( ( ( k2_group_3 @ SV73 @ SY351 @ ( k3_group_1 @ SV73 @ SY351 ) )
!= SY351 )
| ( ( k2_group_3 @ SV73 @ ( k3_group_1 @ SV73 @ SY351 ) @ SY351 )
!= ( k3_group_1 @ SV73 @ SY351 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6834]) ).
thf(6911,plain,
! [SV74: $i] :
( ( ( l1_group_1 @ SV74 )
= $false )
| ( ( v3_group_1 @ SV74 )
= $false )
| ( ( v3_struct_0 @ SV74 )
= $true )
| ( ( v4_group_1 @ SV74 )
= $false )
| ( ( ! [SY352: $i] :
( ~ ( m1_subset_1 @ SY352 @ ( u1_struct_0 @ SV74 ) )
| ! [SY353: $i] :
( ~ ( m1_subset_1 @ SY353 @ ( u1_struct_0 @ SV74 ) )
| ! [SY354: $i] :
( ~ ( m1_subset_1 @ SY354 @ ( u1_struct_0 @ SV74 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV74 @ SY352 @ SY353 )
!= SY354 )
| ( SY353
= ( k1_group_1 @ SV74 @ ( k3_group_1 @ SV74 @ SY352 ) @ SY354 ) ) )
| ~ ( ( SY353
!= ( k1_group_1 @ SV74 @ ( k3_group_1 @ SV74 @ SY352 ) @ SY354 ) )
| ( ( k1_group_1 @ SV74 @ SY352 @ SY353 )
= SY354 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6835]) ).
thf(6912,plain,
! [SV75: $i] :
( ( ( l1_group_1 @ SV75 )
= $false )
| ( ( v3_group_1 @ SV75 )
= $false )
| ( ( v3_struct_0 @ SV75 )
= $true )
| ( ( v4_group_1 @ SV75 )
= $false )
| ( ( ! [SY355: $i] :
( ~ ( m1_subset_1 @ SY355 @ ( u1_struct_0 @ SV75 ) )
| ( ( k3_group_1 @ SV75 @ SY355 )
!= ( k2_group_1 @ SV75 ) )
| ( SY355
= ( k2_group_1 @ SV75 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6836]) ).
thf(6913,plain,
! [SV76: $i] :
( ( ( l1_group_1 @ SV76 )
= $false )
| ( ( v3_group_1 @ SV76 )
= $false )
| ( ( v3_struct_0 @ SV76 )
= $true )
| ( ( v4_group_1 @ SV76 )
= $false )
| ( ( ~ ( v5_group_1 @ ( k2_group_1 @ SV76 ) @ SV76 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6837]) ).
thf(6914,plain,
! [SV77: $i] :
( ( ( l1_group_1 @ SV77 )
= $false )
| ( ( v3_group_1 @ SV77 )
= $false )
| ( ( v3_struct_0 @ SV77 )
= $true )
| ( ( v4_group_1 @ SV77 )
= $false )
| ( ( ! [SY356: $i] :
( ~ ( m1_subset_1 @ SY356 @ ( u1_struct_0 @ SV77 ) )
| ! [SY357: $i] :
( ~ ( m1_subset_1 @ SY357 @ ( u1_struct_0 @ SV77 ) )
| ~ ! [SY358: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY358 @ ( u1_struct_0 @ SV77 ) )
| ( ( k1_group_1 @ SV77 @ SY358 @ SY356 )
!= SY357 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6838]) ).
thf(6915,plain,
! [SV2: $i] :
( ( ( v1_group_1 @ SV2 )
= $false )
| ( ( v3_struct_0 @ SV2 )
= $true )
| ( ( ~ ( v3_group_1 @ SV2 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV2 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV2 ) )
= $true )
| ( ( ! [SY222: $i] :
( ~ ( m1_subset_1 @ SY222 @ ( u1_struct_0 @ SV2 ) )
| ! [SY223: $i] :
( ~ ( m1_subset_1 @ SY223 @ ( u1_struct_0 @ SV2 ) )
| ( ( k6_autgroup @ SV2 @ ( k1_group_1 @ SV2 @ SY222 @ SY223 ) )
= ( k7_funct_2 @ ( u1_struct_0 @ SV2 ) @ ( u1_struct_0 @ SV2 ) @ ( u1_struct_0 @ SV2 ) @ ( k6_autgroup @ SV2 @ SY222 ) @ ( k6_autgroup @ SV2 @ SY223 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6840]) ).
thf(6916,plain,
! [SV3: $i,SV109: $i] :
( ( ( ~ ( m1_subset_1 @ SV109 @ ( u1_struct_0 @ SV3 ) )
| ! [SY391: $i] :
( ~ ( m1_subset_1 @ SY391 @ ( u1_struct_0 @ SV3 ) )
| ~ ( ( ( k1_group_1 @ SV3 @ SV109 @ SY391 )
= SV109 )
| ( ( k1_group_1 @ SV3 @ SY391 @ SV109 )
= SV109 ) )
| ( SY391
= ( k2_group_1 @ SV3 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV3 )
= $false )
| ( ( v3_struct_0 @ SV3 )
= $true )
| ( ( v3_group_1 @ SV3 )
= $false )
| ( ( l1_group_1 @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6841]) ).
thf(6917,plain,
! [SV4: $i,SV110: $i] :
( ( ( ~ ( m1_group_2 @ SV110 @ SV4 )
| ! [SY392: $i] :
( ~ ( m1_group_2 @ SY392 @ SV4 )
| ( ( k2_group_1 @ SV110 )
= ( k2_group_1 @ SY392 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV4 )
= $false )
| ( ( v3_struct_0 @ SV4 )
= $true )
| ( ( v3_group_1 @ SV4 )
= $false )
| ( ( l1_group_1 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6842]) ).
thf(6918,plain,
! [SV5: $i,SV111: $i] :
( ( ( ~ ( m1_subset_1 @ SV111 @ ( u1_struct_0 @ SV5 ) )
| ! [SY393: $i] :
( ~ ( m1_subset_1 @ SY393 @ ( u1_struct_0 @ SV5 ) )
| ~ ( ( ( k2_group_3 @ SV5 @ ( k2_group_3 @ SV5 @ SV111 @ SY393 ) @ ( k3_group_1 @ SV5 @ SY393 ) )
!= SV111 )
| ( ( k2_group_3 @ SV5 @ ( k2_group_3 @ SV5 @ SV111 @ ( k3_group_1 @ SV5 @ SY393 ) ) @ SY393 )
!= SV111 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV5 )
= $false )
| ( ( v3_struct_0 @ SV5 )
= $true )
| ( ( v3_group_1 @ SV5 )
= $false )
| ( ( l1_group_1 @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6843]) ).
thf(6919,plain,
! [SV6: $i,SV112: $i] :
( ( ( ~ ( m1_subset_1 @ SV112 @ ( u1_struct_0 @ SV6 ) )
| ( ( k2_group_3 @ SV6 @ ( k2_group_1 @ SV6 ) @ SV112 )
= ( k2_group_1 @ SV6 ) ) )
= $true )
| ( ( v4_group_1 @ SV6 )
= $false )
| ( ( v3_struct_0 @ SV6 )
= $true )
| ( ( v3_group_1 @ SV6 )
= $false )
| ( ( l1_group_1 @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6844]) ).
thf(6920,plain,
! [SV7: $i,SV113: $i] :
( ( ( ~ ( m1_subset_1 @ SV113 @ ( u1_struct_0 @ SV7 ) )
| ~ ( ( r2_group_3 @ SV7 @ SV113 @ ( k2_group_1 @ SV7 ) )
| ( r2_group_3 @ SV7 @ ( k2_group_1 @ SV7 ) @ SV113 ) )
| ( SV113
= ( k2_group_1 @ SV7 ) ) )
= $true )
| ( ( v4_group_1 @ SV7 )
= $false )
| ( ( v3_struct_0 @ SV7 )
= $true )
| ( ( v3_group_1 @ SV7 )
= $false )
| ( ( l1_group_1 @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6845]) ).
thf(6921,plain,
! [SV8: $i,SV114: $i] :
( ( ( ~ ( m1_subset_1 @ SV114 @ ( u1_struct_0 @ SV8 ) )
| ! [SY394: $i] :
( ~ ( m1_subset_1 @ SY394 @ ( u1_struct_0 @ SV8 ) )
| ! [SY395: $i] :
( ~ ( m1_subset_1 @ SY395 @ ( u1_struct_0 @ SV8 ) )
| ~ ( ( ( k1_group_1 @ SV8 @ SV114 @ SY394 )
= ( k1_group_1 @ SV8 @ SV114 @ SY395 ) )
| ( ( k1_group_1 @ SV8 @ SY394 @ SV114 )
= ( k1_group_1 @ SV8 @ SY395 @ SV114 ) ) )
| ( SY394 = SY395 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6846]) ).
thf(6922,plain,
! [SV10: $i,SV115: $i] :
( ( ( ~ ( m1_subset_1 @ SV115 @ ( u1_struct_0 @ SV10 ) )
| ! [SY396: $i] :
( ~ ( m1_subset_1 @ SY396 @ ( u1_struct_0 @ SV10 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV10 @ SV115 @ SY396 )
!= ( k1_group_1 @ SV10 @ SY396 @ SV115 ) )
| ( ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SV115 ) @ ( k3_group_1 @ SV10 @ SY396 ) )
= ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY396 ) @ ( k3_group_1 @ SV10 @ SV115 ) ) ) )
| ~ ( ( ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SV115 ) @ ( k3_group_1 @ SV10 @ SY396 ) )
!= ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY396 ) @ ( k3_group_1 @ SV10 @ SV115 ) ) )
| ( ( k1_group_1 @ SV10 @ SV115 @ SY396 )
= ( k1_group_1 @ SV10 @ SY396 @ SV115 ) ) ) ) ) )
= $true )
| ( ( v4_group_1 @ SV10 )
= $false )
| ( ( v3_struct_0 @ SV10 )
= $true )
| ( ( v3_group_1 @ SV10 )
= $false )
| ( ( l1_group_1 @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6847]) ).
thf(6923,plain,
! [SV11: $i] :
( ( ( v1_group_1 @ SV11 )
= $false )
| ( ( v3_struct_0 @ SV11 )
= $true )
| ( ( ~ ( v3_group_1 @ SV11 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV11 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV11 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k3_autgroup @ SV11 ) )
| ~ ( v1_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( v3_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( v4_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( l1_group_1 @ ( k3_autgroup @ SV11 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6848]) ).
thf(6924,plain,
! [SV12: $i,SV102: $i,SV108: $i] :
( ( ( ~ ( m1_subset_1 @ SV108 @ ( u1_struct_0 @ SV102 ) ) )
= $true )
| ( ( m1_subset_1 @ SV108 @ ( u1_struct_0 @ SV12 ) )
= $true )
| ( ( m1_group_2 @ SV102 @ SV12 )
= $false )
| ( ( v3_group_1 @ SV12 )
= $false )
| ( ( v3_struct_0 @ SV12 )
= $true )
| ( ( l1_group_1 @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6849]) ).
thf(6925,plain,
! [SV13: $i,SV116: $i] :
( ( ( ~ ( m1_subset_1 @ SV116 @ ( u1_struct_0 @ SV13 ) )
| ! [SY397: $i] :
( ~ ( m1_subset_1 @ SY397 @ ( u1_struct_0 @ SV13 ) )
| ~ ( ~ ~ ( ( ( k3_group_5 @ SV13 @ SV116 @ SY397 @ ( k2_group_1 @ SV13 ) )
!= ( k2_group_1 @ SV13 ) )
| ( ( k3_group_5 @ SV13 @ SV116 @ ( k2_group_1 @ SV13 ) @ SY397 )
!= ( k2_group_1 @ SV13 ) ) )
| ( ( k3_group_5 @ SV13 @ ( k2_group_1 @ SV13 ) @ SV116 @ SY397 )
!= ( k2_group_1 @ SV13 ) ) ) ) )
= $true )
| ( ( v4_group_1 @ SV13 )
= $false )
| ( ( v3_struct_0 @ SV13 )
= $true )
| ( ( v3_group_1 @ SV13 )
= $false )
| ( ( l1_group_1 @ SV13 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6850]) ).
thf(6926,plain,
! [SV15: $i,SV117: $i] :
( ( ( ~ ( m1_subset_1 @ SV117 @ ( u1_struct_0 @ SV15 ) )
| ! [SY398: $i] :
( ~ ( m1_subset_1 @ SY398 @ ( u1_struct_0 @ SV15 ) )
| ( ( k2_group_3 @ SV15 @ ( k3_group_1 @ SV15 @ SV117 ) @ SY398 )
= ( k3_group_1 @ SV15 @ ( k2_group_3 @ SV15 @ SV117 @ SY398 ) ) ) ) )
= $true )
| ( ( v4_group_1 @ SV15 )
= $false )
| ( ( v3_struct_0 @ SV15 )
= $true )
| ( ( v3_group_1 @ SV15 )
= $false )
| ( ( l1_group_1 @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6851]) ).
thf(6927,plain,
! [SV16: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK19_SY243 @ SV16 ) @ ( u1_struct_0 @ SV16 ) )
| ~ ! [SY383: $i] :
( ~ ( m1_subset_1 @ SY383 @ ( u1_struct_0 @ SV16 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV16 @ SY383 @ ( sK19_SY243 @ SV16 ) )
!= SY383 )
| ( ( k1_group_1 @ SV16 @ ( sK19_SY243 @ SV16 ) @ SY383 )
!= SY383 ) )
| ~ ~ ! [SY384: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY384 @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ SY383 @ SY384 )
!= ( sK19_SY243 @ SV16 ) ) )
| ( ( k1_group_1 @ SV16 @ SY384 @ SY383 )
!= ( sK19_SY243 @ SV16 ) ) ) ) ) )
= $false )
| ( ( v3_group_1 @ SV16 )
= $false )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6852]) ).
thf(6928,plain,
! [SV16: $i,SV106: $i] :
( ( ( ~ ( m1_subset_1 @ SV106 @ ( u1_struct_0 @ SV16 ) )
| ~ ! [SY385: $i] :
( ~ ( m1_subset_1 @ SY385 @ ( u1_struct_0 @ SV16 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV16 @ SY385 @ SV106 )
!= SY385 )
| ( ( k1_group_1 @ SV16 @ SV106 @ SY385 )
!= SY385 ) )
| ~ ~ ! [SY386: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY386 @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ SY385 @ SY386 )
!= SV106 ) )
| ( ( k1_group_1 @ SV16 @ SY386 @ SY385 )
!= SV106 ) ) ) ) )
= $true )
| ( ( v3_group_1 @ SV16 )
= $true )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6853]) ).
thf(6929,plain,
! [SV17: $i,SV118: $i] :
( ( ( ~ ( m1_subset_1 @ SV118 @ ( u1_struct_0 @ SV17 ) )
| ! [SY399: $i] :
( ~ ( m1_subset_1 @ SY399 @ ( u1_struct_0 @ SV17 ) )
| ( ( k2_group_3 @ SV17 @ SV118 @ SY399 )
!= ( k2_group_1 @ SV17 ) )
| ( SV118
= ( k2_group_1 @ SV17 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV17 )
= $false )
| ( ( v3_struct_0 @ SV17 )
= $true )
| ( ( v3_group_1 @ SV17 )
= $false )
| ( ( l1_group_1 @ SV17 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6854]) ).
thf(6930,plain,
! [SV18: $i,SV119: $i] :
( ( ( ~ ( m1_subset_1 @ SV119 @ ( u1_struct_0 @ SV18 ) )
| ( r1_group_3 @ SV18 @ SV119 @ SV119 ) )
= $true )
| ( ( v4_group_1 @ SV18 )
= $false )
| ( ( v3_struct_0 @ SV18 )
= $true )
| ( ( v3_group_1 @ SV18 )
= $false )
| ( ( l1_group_1 @ SV18 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6855]) ).
thf(6931,plain,
! [SV92: $i,SV79: $i,SV19: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV19 )
| ~ ( v3_group_1 @ SV19 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV19 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV19 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV79 @ ( u1_struct_0 @ SV19 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV92 @ ( u1_struct_0 @ SV19 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k2_group_3 @ SV19 @ SV79 @ SV92 ) @ ( u1_struct_0 @ SV19 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6856]) ).
thf(6932,plain,
! [SV21: $i,SV120: $i] :
( ( ( ~ ( m1_subset_1 @ SV120 @ ( u1_struct_0 @ SV21 ) )
| ! [SY400: $i] :
( ~ ( m1_subset_1 @ SY400 @ ( u1_struct_0 @ SV21 ) )
| ! [SY401: $i] :
( ~ ( m1_subset_1 @ SY401 @ ( u1_struct_0 @ SV21 ) )
| ~ ~ ( ~ ( r2_group_3 @ SV21 @ SV120 @ SY400 )
| ~ ( r2_group_3 @ SV21 @ SY400 @ SY401 ) )
| ( r2_group_3 @ SV21 @ SV120 @ SY401 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV21 )
= $false )
| ( ( v3_struct_0 @ SV21 )
= $true )
| ( ( v3_group_1 @ SV21 )
= $false )
| ( ( l1_group_1 @ SV21 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6857]) ).
thf(6933,plain,
! [SV22: $i] :
( ( ( v1_group_1 @ SV22 )
= $false )
| ( ( v3_struct_0 @ SV22 )
= $true )
| ( ( ~ ( v3_group_1 @ SV22 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV22 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV22 ) )
= $true )
| ( ( ! [SY257: $i] :
( ~ ~ ( ~ ( v1_group_1 @ SY257 )
| ~ ( m1_group_2 @ SY257 @ SV22 ) )
| ( ( u1_struct_0 @ SY257 )
!= ( u1_struct_0 @ SV22 ) )
| ( SY257 = SV22 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6858]) ).
thf(6934,plain,
! [SV23: $i,SV121: $i] :
( ( ( ~ ( m1_subset_1 @ SV121 @ ( u1_struct_0 @ SV23 ) )
| ! [SY402: $i] :
( ~ ( m1_subset_1 @ SY402 @ ( u1_struct_0 @ SV23 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV23 @ SV121 @ SY402 )
!= ( k1_group_1 @ SV23 @ SY402 @ SV121 ) )
| ( ( k3_group_1 @ SV23 @ ( k1_group_1 @ SV23 @ SV121 @ SY402 ) )
= ( k1_group_1 @ SV23 @ ( k3_group_1 @ SV23 @ SV121 ) @ ( k3_group_1 @ SV23 @ SY402 ) ) ) )
| ~ ( ( ( k3_group_1 @ SV23 @ ( k1_group_1 @ SV23 @ SV121 @ SY402 ) )
!= ( k1_group_1 @ SV23 @ ( k3_group_1 @ SV23 @ SV121 ) @ ( k3_group_1 @ SV23 @ SY402 ) ) )
| ( ( k1_group_1 @ SV23 @ SV121 @ SY402 )
= ( k1_group_1 @ SV23 @ SY402 @ SV121 ) ) ) ) ) )
= $true )
| ( ( v4_group_1 @ SV23 )
= $false )
| ( ( v3_struct_0 @ SV23 )
= $true )
| ( ( v3_group_1 @ SV23 )
= $false )
| ( ( l1_group_1 @ SV23 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6859]) ).
thf(6935,plain,
! [SV24: $i,SV122: $i] :
( ( ( ~ ( m1_subset_1 @ SV122 @ ( u1_struct_0 @ SV24 ) )
| ~ ( ( ( k2_group_5 @ SV24 @ ( k2_group_1 @ SV24 ) @ SV122 )
!= ( k2_group_1 @ SV24 ) )
| ( ( k2_group_5 @ SV24 @ SV122 @ ( k2_group_1 @ SV24 ) )
!= ( k2_group_1 @ SV24 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV24 )
= $false )
| ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( v3_group_1 @ SV24 )
= $false )
| ( ( l1_group_1 @ SV24 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6860]) ).
thf(6936,plain,
! [SV26: $i,SV123: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV123 )
| ~ ( v3_group_1 @ SV123 ) )
| ~ ( v4_group_1 @ SV123 ) )
| ~ ( l1_group_1 @ SV123 ) )
| ! [SY403: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY403 )
| ~ ( v3_group_1 @ SY403 ) )
| ~ ( v4_group_1 @ SY403 ) )
| ~ ( l1_group_1 @ SY403 ) )
| ~ ~ ( ~ ( m1_group_2 @ SV26 @ SV123 )
| ~ ( m1_group_2 @ SV123 @ SY403 ) )
| ( m1_group_2 @ SV26 @ SY403 ) ) )
= $true )
| ( ( v4_group_1 @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( v3_group_1 @ SV26 )
= $false )
| ( ( l1_group_1 @ SV26 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6862]) ).
thf(6937,plain,
! [SV28: $i] :
( ( ( ! [SY268: $i] :
( ~ ( m1_subset_1 @ SY268 @ ( u1_struct_0 @ SV28 ) )
| ! [SY269: $i] :
( ~ ( m1_subset_1 @ SY269 @ ( u1_struct_0 @ SV28 ) )
| ~ ( ~ ~ ! [SY270: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY270 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY268 @ SY270 )
!= SY269 ) )
| ~ ~ ! [SY271: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY271 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY271 @ SY268 )
!= SY269 ) ) ) ) ) )
= $false )
| ( ( m1_subset_1 @ ( sK16_SY265 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6863]) ).
thf(6938,plain,
! [SV28: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK21_SY377 @ SV28 ) @ ( u1_struct_0 @ SV28 ) ) )
= $false )
| ( ( ~ ! [SY268: $i] :
( ~ ( m1_subset_1 @ SY268 @ ( u1_struct_0 @ SV28 ) )
| ! [SY269: $i] :
( ~ ( m1_subset_1 @ SY269 @ ( u1_struct_0 @ SV28 ) )
| ~ ( ~ ~ ! [SY270: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY270 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY268 @ SY270 )
!= SY269 ) )
| ~ ~ ! [SY271: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY271 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY271 @ SY268 )
!= SY269 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6864]) ).
thf(6939,plain,
! [SV28: $i] :
( ( ( ! [SY389: $i] :
( ~ ( m1_subset_1 @ SY389 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( sK21_SY377 @ SV28 ) ) @ SY389 )
= ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( k1_group_1 @ SV28 @ ( sK21_SY377 @ SV28 ) @ SY389 ) ) ) ) )
= $false )
| ( ( ~ ! [SY268: $i] :
( ~ ( m1_subset_1 @ SY268 @ ( u1_struct_0 @ SV28 ) )
| ! [SY269: $i] :
( ~ ( m1_subset_1 @ SY269 @ ( u1_struct_0 @ SV28 ) )
| ~ ( ~ ~ ! [SY270: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY270 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY268 @ SY270 )
!= SY269 ) )
| ~ ~ ! [SY271: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY271 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY271 @ SY268 )
!= SY269 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6864]) ).
thf(6940,plain,
! [SV93: $i,SV81: $i,SV29: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV29 )
| ~ ( v3_group_1 @ SV29 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV29 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV29 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV81 @ ( u1_struct_0 @ SV29 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV93 @ ( u1_struct_0 @ SV29 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k2_group_5 @ SV29 @ SV81 @ SV93 ) @ ( u1_struct_0 @ SV29 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6865]) ).
thf(6941,plain,
! [SV94: $i,SV82: $i,SV30: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV30 )
| ~ ( v3_group_1 @ SV30 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV30 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV30 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV82 @ ( u1_struct_0 @ SV30 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV94 @ ( u1_struct_0 @ SV30 ) ) )
= $true )
| ( ( r2_group_3 @ SV30 @ SV82 @ SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6866]) ).
thf(6942,plain,
! [SV31: $i,SV124: $i] :
( ( ( ~ ( m1_subset_1 @ SV124 @ ( u1_struct_0 @ SV31 ) )
| ! [SY404: $i] :
( ~ ( m1_subset_1 @ SY404 @ ( u1_struct_0 @ SV31 ) )
| ( ( k3_group_1 @ SV31 @ SV124 )
!= ( k3_group_1 @ SV31 @ SY404 ) )
| ( SV124 = SY404 ) ) )
= $true )
| ( ( v4_group_1 @ SV31 )
= $false )
| ( ( v3_struct_0 @ SV31 )
= $true )
| ( ( v3_group_1 @ SV31 )
= $false )
| ( ( l1_group_1 @ SV31 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6867]) ).
thf(6943,plain,
! [SV32: $i,SV125: $i] :
( ( ( ~ ( m1_subset_1 @ SV125 @ ( u1_struct_0 @ SV32 ) )
| ~ ( ( ( k2_group_5 @ SV32 @ SV125 @ ( k3_group_1 @ SV32 @ SV125 ) )
!= ( k2_group_1 @ SV32 ) )
| ( ( k2_group_5 @ SV32 @ ( k3_group_1 @ SV32 @ SV125 ) @ SV125 )
!= ( k2_group_1 @ SV32 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV32 )
= $false )
| ( ( v3_struct_0 @ SV32 )
= $true )
| ( ( v3_group_1 @ SV32 )
= $false )
| ( ( l1_group_1 @ SV32 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6868]) ).
thf(6944,plain,
! [SV33: $i,SV126: $i] :
( ( ( ~ ( m1_subset_1 @ SV126 @ ( u1_struct_0 @ SV33 ) )
| ! [SY405: $i] :
( ~ ( m1_subset_1 @ SY405 @ ( u1_struct_0 @ SV33 ) )
| ! [SY406: $i] :
( ~ ( m1_subset_1 @ SY406 @ ( u1_struct_0 @ SV33 ) )
| ( ( k2_group_3 @ SV33 @ SV126 @ SY405 )
!= ( k2_group_3 @ SV33 @ SY406 @ SY405 ) )
| ( SV126 = SY406 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV33 )
= $false )
| ( ( v3_struct_0 @ SV33 )
= $true )
| ( ( v3_group_1 @ SV33 )
= $false )
| ( ( l1_group_1 @ SV33 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6869]) ).
thf(6945,plain,
! [SV34: $i,SV127: $i] :
( ( ( ~ ( m1_subset_1 @ SV127 @ ( u1_struct_0 @ SV34 ) )
| ! [SY407: $i] :
( ~ ( m1_subset_1 @ SY407 @ ( u1_struct_0 @ SV34 ) )
| ~ ( ( ( k1_group_1 @ SV34 @ SV127 @ SY407 )
= ( k2_group_1 @ SV34 ) )
| ( ( k1_group_1 @ SV34 @ SY407 @ SV127 )
= ( k2_group_1 @ SV34 ) ) )
| ~ ( ( SV127
!= ( k3_group_1 @ SV34 @ SY407 ) )
| ( SY407
!= ( k3_group_1 @ SV34 @ SV127 ) ) ) ) )
= $true )
| ( ( v4_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6870]) ).
thf(6946,plain,
! [SV83: $i,SV35: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV35 )
| ~ ( v3_group_1 @ SV35 ) )
| ~ ( v4_group_1 @ SV35 ) )
| ~ ( l1_group_1 @ SV35 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV83 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV83 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV83 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV83 ) )
= $true )
| ( ( r1_group_6 @ SV35 @ SV35 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6871]) ).
thf(6947,plain,
! [SV36: $i,SV128: $i] :
( ( ( ~ ( m1_subset_1 @ SV128 @ ( u1_struct_0 @ SV36 ) )
| ! [SY408: $i] :
( ~ ( m1_subset_1 @ SY408 @ ( u1_struct_0 @ SV36 ) )
| ! [SY409: $i] :
( ~ ( m1_subset_1 @ SY409 @ ( u1_struct_0 @ SV36 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV36 @ SV128 @ SY408 )
!= SY409 )
| ( SV128
= ( k1_group_1 @ SV36 @ SY409 @ ( k3_group_1 @ SV36 @ SY408 ) ) ) )
| ~ ( ( SV128
!= ( k1_group_1 @ SV36 @ SY409 @ ( k3_group_1 @ SV36 @ SY408 ) ) )
| ( ( k1_group_1 @ SV36 @ SV128 @ SY408 )
= SY409 ) ) ) ) ) )
= $true )
| ( ( v4_group_1 @ SV36 )
= $false )
| ( ( v3_struct_0 @ SV36 )
= $true )
| ( ( v3_group_1 @ SV36 )
= $false )
| ( ( l1_group_1 @ SV36 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6872]) ).
thf(6948,plain,
! [SV37: $i,SV129: $i] :
( ( ( ~ ( m1_group_2 @ SV129 @ SV37 )
| ( v4_group_1 @ SV129 ) )
= $true )
| ( ( v4_group_1 @ SV37 )
= $false )
| ( ( v3_struct_0 @ SV37 )
= $true )
| ( ( v3_group_1 @ SV37 )
= $false )
| ( ( l1_group_1 @ SV37 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6873]) ).
thf(6949,plain,
! [SV38: $i,SV103: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV103 )
| ~ ( v3_group_1 @ SV103 ) ) )
= $false )
| ( ( m1_group_2 @ SV103 @ SV38 )
= $false )
| ( ( v3_group_1 @ SV38 )
= $false )
| ( ( v3_struct_0 @ SV38 )
= $true )
| ( ( l1_group_1 @ SV38 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6874]) ).
thf(6950,plain,
! [SV38: $i,SV103: $i] :
( ( ( ~ ( l1_group_1 @ SV103 ) )
= $false )
| ( ( m1_group_2 @ SV103 @ SV38 )
= $false )
| ( ( v3_group_1 @ SV38 )
= $false )
| ( ( v3_struct_0 @ SV38 )
= $true )
| ( ( l1_group_1 @ SV38 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6874]) ).
thf(6951,plain,
! [SV41: $i,SV130: $i] :
( ( ( ~ ( m1_subset_1 @ SV130 @ ( u1_struct_0 @ SV41 ) )
| ! [SY410: $i] :
( ~ ( m1_subset_1 @ SY410 @ ( u1_struct_0 @ SV41 ) )
| ( ( k3_group_1 @ SV41 @ ( k2_group_5 @ SV41 @ SV130 @ SY410 ) )
= ( k2_group_5 @ SV41 @ SY410 @ SV130 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV41 )
= $false )
| ( ( v3_struct_0 @ SV41 )
= $true )
| ( ( v3_group_1 @ SV41 )
= $false )
| ( ( l1_group_1 @ SV41 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6875]) ).
thf(6952,plain,
! [SV42: $i,SV131: $i] :
( ( ( ~ ( m1_subset_1 @ SV131 @ ( u1_struct_0 @ SV42 ) )
| ! [SY411: $i] :
( ~ ( m1_subset_1 @ SY411 @ ( u1_struct_0 @ SV42 ) )
| ( ( k3_group_5 @ SV42 @ SV131 @ SV131 @ SY411 )
= ( k2_group_1 @ SV42 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV42 )
= $false )
| ( ( v3_struct_0 @ SV42 )
= $true )
| ( ( v3_group_1 @ SV42 )
= $false )
| ( ( l1_group_1 @ SV42 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6876]) ).
thf(6953,plain,
! [SV104: $i,SV43: $i] :
( ( ( ! [SY375: $i] :
( ~ ( m1_subset_1 @ SY375 @ ( u1_struct_0 @ SV43 ) )
| ~ ( ( ( k1_group_1 @ SV43 @ SY375 @ SV104 )
!= SY375 )
| ( ( k1_group_1 @ SV43 @ SV104 @ SY375 )
!= SY375 ) ) ) )
= $false )
| ( ( SV104
= ( k2_group_1 @ SV43 ) )
= $true )
| ( ( m1_subset_1 @ SV104 @ ( u1_struct_0 @ SV43 ) )
= $false )
| ( ( v3_group_1 @ SV43 )
= $false )
| ( ( v3_struct_0 @ SV43 )
= $true )
| ( ( l1_group_1 @ SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6877]) ).
thf(6954,plain,
( ( ~ ( l1_group_1 @ sK6_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6878]) ).
thf(6955,plain,
( ( ~ ~ ( v3_struct_0 @ sK6_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6878]) ).
thf(6956,plain,
! [SV105: $i,SV44: $i,SV132: $i] :
( ( ( ~ ( m1_subset_1 @ SV132 @ ( u1_struct_0 @ SV44 ) )
| ! [SY412: $i] :
( ~ ( m1_subset_1 @ SY412 @ ( u1_struct_0 @ SV44 ) )
| ( ( k1_group_1 @ SV44 @ ( k1_group_1 @ SV44 @ SV105 @ SV132 ) @ SY412 )
= ( k1_group_1 @ SV44 @ SV105 @ ( k1_group_1 @ SV44 @ SV132 @ SY412 ) ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV105 @ ( u1_struct_0 @ SV44 ) )
= $false )
| ( ( v4_group_1 @ SV44 )
= $false )
| ( ( v3_struct_0 @ SV44 )
= $true )
| ( ( l1_group_1 @ SV44 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6879]) ).
thf(6957,plain,
! [SV44: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK22_SY381 @ SV44 ) @ ( u1_struct_0 @ SV44 ) ) )
= $false )
| ( ( v4_group_1 @ SV44 )
= $true )
| ( ( v3_struct_0 @ SV44 )
= $true )
| ( ( l1_group_1 @ SV44 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6881]) ).
thf(6958,plain,
! [SV44: $i] :
( ( ( ! [SY390: $i] :
( ~ ( m1_subset_1 @ SY390 @ ( u1_struct_0 @ SV44 ) )
| ( ( k1_group_1 @ SV44 @ ( k1_group_1 @ SV44 @ ( sK17_SY300 @ SV44 ) @ ( sK22_SY381 @ SV44 ) ) @ SY390 )
= ( k1_group_1 @ SV44 @ ( sK17_SY300 @ SV44 ) @ ( k1_group_1 @ SV44 @ ( sK22_SY381 @ SV44 ) @ SY390 ) ) ) ) )
= $false )
| ( ( v4_group_1 @ SV44 )
= $true )
| ( ( v3_struct_0 @ SV44 )
= $true )
| ( ( l1_group_1 @ SV44 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6881]) ).
thf(6959,plain,
! [SV45: $i,SV133: $i] :
( ( ( ~ ( m1_subset_1 @ SV133 @ ( u1_struct_0 @ SV45 ) )
| ! [SY413: $i] :
( ~ ( m1_subset_1 @ SY413 @ ( u1_struct_0 @ SV45 ) )
| ( ( k3_group_1 @ SV45 @ ( k1_group_1 @ SV45 @ SV133 @ SY413 ) )
= ( k1_group_1 @ SV45 @ ( k3_group_1 @ SV45 @ SY413 ) @ ( k3_group_1 @ SV45 @ SV133 ) ) ) ) )
= $true )
| ( ( v4_group_1 @ SV45 )
= $false )
| ( ( v3_struct_0 @ SV45 )
= $true )
| ( ( v3_group_1 @ SV45 )
= $false )
| ( ( l1_group_1 @ SV45 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6882]) ).
thf(6960,plain,
! [SV46: $i] :
( ( ( v1_group_1 @ SV46 )
= $false )
| ( ( v3_struct_0 @ SV46 )
= $true )
| ( ( ~ ( v3_group_1 @ SV46 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV46 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV46 ) )
= $true )
| ( ( ( k6_autgroup @ SV46 @ ( k2_group_1 @ SV46 ) )
= ( k6_partfun1 @ ( u1_struct_0 @ SV46 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6883]) ).
thf(6961,plain,
! [SV98: $i,SV95: $i,SV84: $i,SV47: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV47 )
| ~ ( v3_group_1 @ SV47 ) )
| ~ ( v4_group_1 @ SV47 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV47 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV84 @ ( u1_struct_0 @ SV47 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV95 @ ( u1_struct_0 @ SV47 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV98 @ ( u1_struct_0 @ SV47 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k3_group_5 @ SV47 @ SV84 @ SV95 @ SV98 ) @ ( u1_struct_0 @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6884]) ).
thf(6962,plain,
! [SV48: $i,SV134: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV134 )
| ~ ( v3_group_1 @ SV134 ) )
| ~ ( v4_group_1 @ SV134 ) )
| ~ ( l1_group_1 @ SV134 ) )
| ! [SY414: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY414 )
| ~ ( v3_group_1 @ SY414 ) )
| ~ ( v4_group_1 @ SY414 ) )
| ~ ( l1_group_1 @ SY414 ) )
| ~ ~ ( ~ ( r1_group_6 @ SV48 @ SV134 )
| ~ ( r1_group_6 @ SV134 @ SY414 ) )
| ( r1_group_6 @ SV48 @ SY414 ) ) )
= $true )
| ( ( v4_group_1 @ SV48 )
= $false )
| ( ( v3_struct_0 @ SV48 )
= $true )
| ( ( v3_group_1 @ SV48 )
= $false )
| ( ( l1_group_1 @ SV48 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6885]) ).
thf(6963,plain,
! [SV85: $i,SV49: $i] :
( ( ( v3_struct_0 @ SV49 )
= $true )
| ( ( ~ ( v3_group_1 @ SV49 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV49 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV49 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV85 @ ( u1_struct_0 @ SV49 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k3_group_1 @ SV49 @ SV85 ) @ ( u1_struct_0 @ SV49 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6886]) ).
thf(6964,plain,
! [SV96: $i,SV86: $i,SV51: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV51 )
| ~ ( v3_group_1 @ SV51 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV51 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV51 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV86 @ ( u1_struct_0 @ SV51 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV96 @ ( u1_struct_0 @ SV51 ) ) )
= $true )
| ( ( ~ ( r2_group_3 @ SV51 @ SV86 @ SV96 )
| ( r2_group_3 @ SV51 @ SV96 @ SV86 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6888]) ).
thf(6965,plain,
! [SV52: $i] :
( ( ( v1_group_1 @ SV52 )
= $false )
| ( ( v3_struct_0 @ SV52 )
= $true )
| ( ( ~ ( v3_group_1 @ SV52 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV52 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV52 ) )
= $true )
| ( ( ! [SY313: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY313 )
| ~ ( v1_group_1 @ SY313 ) )
| ~ ( v3_group_1 @ SY313 ) )
| ~ ( v4_group_1 @ SY313 ) )
| ~ ( l1_group_1 @ SY313 ) )
| ~ ( r1_group_6 @ SV52 @ SY313 )
| ( r1_group_6 @ SY313 @ SV52 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6889]) ).
thf(6966,plain,
! [SV53: $i,SV135: $i] :
( ( ( ~ ( m1_group_2 @ SV135 @ SV53 )
| ( ( k2_group_1 @ SV135 )
= ( k2_group_1 @ SV53 ) ) )
= $true )
| ( ( v4_group_1 @ SV53 )
= $false )
| ( ( v3_struct_0 @ SV53 )
= $true )
| ( ( v3_group_1 @ SV53 )
= $false )
| ( ( l1_group_1 @ SV53 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6890]) ).
thf(6967,plain,
! [SV54: $i,SV136: $i] :
( ( ( ~ ( m1_subset_1 @ SV136 @ ( u1_struct_0 @ SV54 ) )
| ! [SY415: $i] :
( ~ ( m1_subset_1 @ SY415 @ ( u1_struct_0 @ SV54 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV54 @ SV136 @ SY415 )
!= ( k1_group_1 @ SV54 @ SY415 @ SV136 ) )
| ( ( k1_group_1 @ SV54 @ SV136 @ ( k3_group_1 @ SV54 @ SY415 ) )
= ( k1_group_1 @ SV54 @ ( k3_group_1 @ SV54 @ SY415 ) @ SV136 ) ) )
| ~ ( ( ( k1_group_1 @ SV54 @ SV136 @ ( k3_group_1 @ SV54 @ SY415 ) )
!= ( k1_group_1 @ SV54 @ ( k3_group_1 @ SV54 @ SY415 ) @ SV136 ) )
| ( ( k1_group_1 @ SV54 @ SV136 @ SY415 )
= ( k1_group_1 @ SV54 @ SY415 @ SV136 ) ) ) ) ) )
= $true )
| ( ( v4_group_1 @ SV54 )
= $false )
| ( ( v3_struct_0 @ SV54 )
= $true )
| ( ( v3_group_1 @ SV54 )
= $false )
| ( ( l1_group_1 @ SV54 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6891]) ).
thf(6968,plain,
! [SV55: $i,SV137: $i] :
( ( ( ~ ( m1_subset_1 @ SV137 @ ( u1_struct_0 @ SV55 ) )
| ! [SY416: $i] :
( ~ ( m1_group_2 @ SY416 @ SV55 )
| ! [SY417: $i] :
( ~ ( m1_subset_1 @ SY417 @ ( u1_struct_0 @ SY416 ) )
| ( SY417 != SV137 )
| ( ( k3_group_1 @ SY416 @ SY417 )
= ( k3_group_1 @ SV55 @ SV137 ) ) ) ) )
= $true )
| ( ( v4_group_1 @ SV55 )
= $false )
| ( ( v3_struct_0 @ SV55 )
= $true )
| ( ( v3_group_1 @ SV55 )
= $false )
| ( ( l1_group_1 @ SV55 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6892]) ).
thf(6969,plain,
! [SV56: $i,SV138: $i] :
( ( ( ~ ( m1_subset_1 @ SV138 @ ( u1_struct_0 @ SV56 ) )
| ! [SY418: $i] :
( ~ ( m1_subset_1 @ SY418 @ ( u1_struct_0 @ SV56 ) )
| ~ ~ ( ( ( k1_group_1 @ SV56 @ SV138 @ SY418 )
!= ( k2_group_1 @ SV56 ) )
| ( ( k1_group_1 @ SV56 @ SY418 @ SV138 )
!= ( k2_group_1 @ SV56 ) ) )
| ( SY418
= ( k3_group_1 @ SV56 @ SV138 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV56 )
= $false )
| ( ( v3_struct_0 @ SV56 )
= $true )
| ( ( v3_group_1 @ SV56 )
= $false )
| ( ( l1_group_1 @ SV56 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6893]) ).
thf(6970,plain,
! [SV57: $i,SV139: $i] :
( ( ( ~ ( m1_subset_1 @ SV139 @ ( u1_struct_0 @ SV57 ) )
| ( ( k2_group_3 @ SV57 @ SV139 @ SV139 )
= SV139 ) )
= $true )
| ( ( v4_group_1 @ SV57 )
= $false )
| ( ( v3_struct_0 @ SV57 )
= $true )
| ( ( v3_group_1 @ SV57 )
= $false )
| ( ( l1_group_1 @ SV57 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6894]) ).
thf(6971,plain,
! [SV59: $i,SV140: $i] :
( ( ( ~ ( m1_subset_1 @ SV140 @ ( u1_struct_0 @ SV59 ) )
| ! [SY419: $i] :
( ~ ( m1_subset_1 @ SY419 @ ( u1_struct_0 @ SV59 ) )
| ~ ! [SY420: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY420 @ ( u1_struct_0 @ SV59 ) )
| ( ( k1_group_1 @ SV59 @ SV140 @ SY420 )
!= SY419 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV59 )
= $false )
| ( ( v3_struct_0 @ SV59 )
= $true )
| ( ( v3_group_1 @ SV59 )
= $false )
| ( ( l1_group_1 @ SV59 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6895]) ).
thf(6972,plain,
! [SV60: $i,SV141: $i] :
( ( ( ~ ( m1_subset_1 @ SV141 @ ( u1_struct_0 @ SV60 ) )
| ! [SY421: $i] :
( ~ ( m1_subset_1 @ SY421 @ ( u1_struct_0 @ SV60 ) )
| ~ ( ~ ( ( SY421
!= ( k3_group_1 @ SV60 @ SV141 ) )
| ~ ( ( ( k1_group_1 @ SV60 @ SV141 @ SY421 )
!= ( k2_group_1 @ SV60 ) )
| ( ( k1_group_1 @ SV60 @ SY421 @ SV141 )
!= ( k2_group_1 @ SV60 ) ) ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV60 @ SV141 @ SY421 )
!= ( k2_group_1 @ SV60 ) )
| ( ( k1_group_1 @ SV60 @ SY421 @ SV141 )
!= ( k2_group_1 @ SV60 ) ) )
| ( SY421
= ( k3_group_1 @ SV60 @ SV141 ) ) ) ) ) )
= $true )
| ( ( v4_group_1 @ SV60 )
= $false )
| ( ( v3_struct_0 @ SV60 )
= $true )
| ( ( v3_group_1 @ SV60 )
= $false )
| ( ( l1_group_1 @ SV60 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6896]) ).
thf(6973,plain,
! [SV87: $i,SV61: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV61 )
| ~ ( v1_group_1 @ SV61 ) )
| ~ ( v3_group_1 @ SV61 ) )
| ~ ( v4_group_1 @ SV61 ) )
| ~ ( l1_group_1 @ SV61 ) )
| ~ ~ ( v3_struct_0 @ SV87 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( r2_group_6 @ SV61 @ SV87 )
| ( r2_group_6 @ SV87 @ SV61 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6897]) ).
thf(6974,plain,
! [SV62: $i] :
( ( ( v1_group_1 @ SV62 )
= $false )
| ( ( v3_struct_0 @ SV62 )
= $true )
| ( ( ~ ( v3_group_1 @ SV62 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV62 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV62 ) )
= $true )
| ( ( ! [SY330: $i] :
( ~ ( m1_subset_1 @ SY330 @ ( u1_struct_0 @ SV62 ) )
| ( ( k8_funct_2 @ ( u1_struct_0 @ SV62 ) @ ( u1_struct_0 @ SV62 ) @ ( k6_autgroup @ SV62 @ ( k2_group_1 @ SV62 ) ) @ SY330 )
= SY330 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6898]) ).
thf(6975,plain,
! [SV97: $i,SV63: $i,SV88: $i] :
( ( ( m1_subset_1 @ SV88 @ ( u1_struct_0 @ SV63 ) )
= $false )
| ( ( v3_struct_0 @ SV63 )
= $true )
| ( ( l1_group_1 @ SV63 )
= $false )
| ( ( ~ ( m1_subset_1 @ SV97 @ ( u1_struct_0 @ SV63 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k1_group_1 @ SV63 @ SV88 @ SV97 ) @ ( u1_struct_0 @ SV63 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6899]) ).
thf(6976,plain,
! [SV64: $i,SV142: $i] :
( ( ( ~ ( m1_subset_1 @ SV142 @ ( u1_struct_0 @ SV64 ) )
| ( ( k2_group_5 @ SV64 @ SV142 @ SV142 )
= ( k2_group_1 @ SV64 ) ) )
= $true )
| ( ( v4_group_1 @ SV64 )
= $false )
| ( ( v3_struct_0 @ SV64 )
= $true )
| ( ( v3_group_1 @ SV64 )
= $false )
| ( ( l1_group_1 @ SV64 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6900]) ).
thf(6977,plain,
! [SV66: $i,SV143: $i] :
( ( ( ~ ( m1_subset_1 @ SV143 @ ( u1_struct_0 @ SV66 ) )
| ! [SY422: $i] :
( ~ ( m1_subset_1 @ SY422 @ ( u1_struct_0 @ SV66 ) )
| ~ ( r1_group_3 @ SV66 @ SV143 @ SY422 )
| ( r1_group_3 @ SV66 @ SY422 @ SV143 ) ) )
= $true )
| ( ( v4_group_1 @ SV66 )
= $false )
| ( ( v3_struct_0 @ SV66 )
= $true )
| ( ( v3_group_1 @ SV66 )
= $false )
| ( ( l1_group_1 @ SV66 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6901]) ).
thf(6978,plain,
! [SV67: $i,SV144: $i] :
( ( ( ~ ( m1_subset_1 @ SV144 @ ( u1_struct_0 @ SV67 ) )
| ( ( k3_group_1 @ SV67 @ ( k3_group_1 @ SV67 @ SV144 ) )
= SV144 ) )
= $true )
| ( ( v4_group_1 @ SV67 )
= $false )
| ( ( v3_struct_0 @ SV67 )
= $true )
| ( ( v3_group_1 @ SV67 )
= $false )
| ( ( l1_group_1 @ SV67 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6902]) ).
thf(6979,plain,
! [SV68: $i,SV145: $i] :
( ( ( ~ ( m1_subset_1 @ SV145 @ ( u1_struct_0 @ SV68 ) )
| ( ( k2_group_3 @ SV68 @ SV145 @ ( k2_group_1 @ SV68 ) )
= SV145 ) )
= $true )
| ( ( v4_group_1 @ SV68 )
= $false )
| ( ( v3_struct_0 @ SV68 )
= $true )
| ( ( v3_group_1 @ SV68 )
= $false )
| ( ( l1_group_1 @ SV68 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6903]) ).
thf(6980,plain,
! [SV70: $i,SV107: $i] :
( ( ( m1_subset_1 @ SV107 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ! [SY387: $i] :
( ~ ( m1_subset_1 @ SY387 @ ( u1_struct_0 @ SV70 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV70 @ SY387 @ SV107 )
!= SY387 )
| ( ( k1_group_1 @ SV70 @ SV107 @ SY387 )
!= SY387 ) )
| ~ ~ ! [SY388: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY388 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ SY387 @ SY388 )
!= SV107 ) )
| ( ( k1_group_1 @ SV70 @ SY388 @ SY387 )
!= SV107 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK14_SY342 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6904]) ).
thf(6981,plain,
! [SV70: $i,SV146: $i] :
( ( ( ~ ( m1_subset_1 @ SV146 @ ( u1_struct_0 @ SV70 ) )
| ~ ! [SY423: $i] :
( ~ ( m1_subset_1 @ SY423 @ ( u1_struct_0 @ SV70 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV70 @ SY423 @ SV146 )
!= SY423 )
| ( ( k1_group_1 @ SV70 @ SV146 @ SY423 )
!= SY423 ) )
| ~ ~ ! [SY424: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY424 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ SY423 @ SY424 )
!= SV146 ) )
| ( ( k1_group_1 @ SV70 @ SY424 @ SY423 )
!= SV146 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK15_SY372 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6905]) ).
thf(6982,plain,
! [SV70: $i] :
( ( ( m1_subset_1 @ ( sK20_SY376 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( ! [SY345: $i] :
( ~ ( m1_subset_1 @ SY345 @ ( u1_struct_0 @ SV70 ) )
| ~ ! [SY346: $i] :
( ~ ( m1_subset_1 @ SY346 @ ( u1_struct_0 @ SV70 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV70 @ SY346 @ SY345 )
!= SY346 )
| ( ( k1_group_1 @ SV70 @ SY345 @ SY346 )
!= SY346 ) )
| ~ ~ ! [SY347: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY347 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ SY346 @ SY347 )
!= SY345 ) )
| ( ( k1_group_1 @ SV70 @ SY347 @ SY346 )
!= SY345 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6906]) ).
thf(6983,plain,
! [SV70: $i] :
( ( ( ! [SY345: $i] :
( ~ ( m1_subset_1 @ SY345 @ ( u1_struct_0 @ SV70 ) )
| ~ ! [SY346: $i] :
( ~ ( m1_subset_1 @ SY346 @ ( u1_struct_0 @ SV70 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV70 @ SY346 @ SY345 )
!= SY346 )
| ( ( k1_group_1 @ SV70 @ SY345 @ SY346 )
!= SY346 ) )
| ~ ~ ! [SY347: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY347 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ SY346 @ SY347 )
!= SY345 ) )
| ( ( k1_group_1 @ SV70 @ SY347 @ SY346 )
!= SY345 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( sK15_SY372 @ SV70 ) ) @ ( sK20_SY376 @ SV70 ) )
= ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( k1_group_1 @ SV70 @ ( sK15_SY372 @ SV70 ) @ ( sK20_SY376 @ SV70 ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6907]) ).
thf(6984,plain,
! [SV71: $i,SV147: $i] :
( ( ( ~ ( m1_subset_1 @ SV147 @ ( u1_struct_0 @ SV71 ) )
| ! [SY425: $i] :
( ~ ( m1_subset_1 @ SY425 @ ( u1_struct_0 @ SV71 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV147 @ SY425 ) @ ( k3_group_1 @ SV71 @ SY425 ) )
!= SV147 )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV147 @ ( k3_group_1 @ SV71 @ SY425 ) ) @ SY425 )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY425 ) @ SY425 ) @ SV147 )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SY425 @ ( k3_group_1 @ SV71 @ SY425 ) ) @ SV147 )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ SV147 @ ( k1_group_1 @ SV71 @ SY425 @ ( k3_group_1 @ SV71 @ SY425 ) ) )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ SV147 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY425 ) @ SY425 ) )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY425 ) @ ( k1_group_1 @ SV71 @ SY425 @ SV147 ) )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ SY425 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY425 ) @ SV147 ) )
!= SV147 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV71 )
= $false )
| ( ( v3_struct_0 @ SV71 )
= $true )
| ( ( v3_group_1 @ SV71 )
= $false )
| ( ( l1_group_1 @ SV71 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6908]) ).
thf(6985,plain,
! [SV91: $i,SV72: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV72 )
| ~ ( v1_group_1 @ SV72 ) )
| ~ ( v3_group_1 @ SV72 ) )
| ~ ( v4_group_1 @ SV72 ) )
| ~ ( l1_group_1 @ SV72 ) )
| ~ ~ ( v3_struct_0 @ SV91 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV91 ) )
= $true )
| ( ( r2_group_6 @ SV72 @ SV72 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6909]) ).
thf(6986,plain,
! [SV73: $i,SV148: $i] :
( ( ( ~ ( m1_subset_1 @ SV148 @ ( u1_struct_0 @ SV73 ) )
| ~ ( ( ( k2_group_3 @ SV73 @ SV148 @ ( k3_group_1 @ SV73 @ SV148 ) )
!= SV148 )
| ( ( k2_group_3 @ SV73 @ ( k3_group_1 @ SV73 @ SV148 ) @ SV148 )
!= ( k3_group_1 @ SV73 @ SV148 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV73 )
= $false )
| ( ( v3_struct_0 @ SV73 )
= $true )
| ( ( v3_group_1 @ SV73 )
= $false )
| ( ( l1_group_1 @ SV73 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6910]) ).
thf(6987,plain,
! [SV74: $i,SV149: $i] :
( ( ( ~ ( m1_subset_1 @ SV149 @ ( u1_struct_0 @ SV74 ) )
| ! [SY426: $i] :
( ~ ( m1_subset_1 @ SY426 @ ( u1_struct_0 @ SV74 ) )
| ! [SY427: $i] :
( ~ ( m1_subset_1 @ SY427 @ ( u1_struct_0 @ SV74 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV74 @ SV149 @ SY426 )
!= SY427 )
| ( SY426
= ( k1_group_1 @ SV74 @ ( k3_group_1 @ SV74 @ SV149 ) @ SY427 ) ) )
| ~ ( ( SY426
!= ( k1_group_1 @ SV74 @ ( k3_group_1 @ SV74 @ SV149 ) @ SY427 ) )
| ( ( k1_group_1 @ SV74 @ SV149 @ SY426 )
= SY427 ) ) ) ) ) )
= $true )
| ( ( v4_group_1 @ SV74 )
= $false )
| ( ( v3_struct_0 @ SV74 )
= $true )
| ( ( v3_group_1 @ SV74 )
= $false )
| ( ( l1_group_1 @ SV74 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6911]) ).
thf(6988,plain,
! [SV75: $i,SV150: $i] :
( ( ( ~ ( m1_subset_1 @ SV150 @ ( u1_struct_0 @ SV75 ) )
| ( ( k3_group_1 @ SV75 @ SV150 )
!= ( k2_group_1 @ SV75 ) )
| ( SV150
= ( k2_group_1 @ SV75 ) ) )
= $true )
| ( ( v4_group_1 @ SV75 )
= $false )
| ( ( v3_struct_0 @ SV75 )
= $true )
| ( ( v3_group_1 @ SV75 )
= $false )
| ( ( l1_group_1 @ SV75 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6912]) ).
thf(6989,plain,
! [SV76: $i] :
( ( ( v5_group_1 @ ( k2_group_1 @ SV76 ) @ SV76 )
= $false )
| ( ( v4_group_1 @ SV76 )
= $false )
| ( ( v3_struct_0 @ SV76 )
= $true )
| ( ( v3_group_1 @ SV76 )
= $false )
| ( ( l1_group_1 @ SV76 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6913]) ).
thf(6990,plain,
! [SV77: $i,SV151: $i] :
( ( ( ~ ( m1_subset_1 @ SV151 @ ( u1_struct_0 @ SV77 ) )
| ! [SY428: $i] :
( ~ ( m1_subset_1 @ SY428 @ ( u1_struct_0 @ SV77 ) )
| ~ ! [SY429: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY429 @ ( u1_struct_0 @ SV77 ) )
| ( ( k1_group_1 @ SV77 @ SY429 @ SV151 )
!= SY428 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV77 )
= $false )
| ( ( v3_struct_0 @ SV77 )
= $true )
| ( ( v3_group_1 @ SV77 )
= $false )
| ( ( l1_group_1 @ SV77 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6914]) ).
thf(6991,plain,
! [SV2: $i] :
( ( ( v3_group_1 @ SV2 )
= $false )
| ( ( v3_struct_0 @ SV2 )
= $true )
| ( ( v1_group_1 @ SV2 )
= $false )
| ( ( ~ ( v4_group_1 @ SV2 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV2 ) )
= $true )
| ( ( ! [SY222: $i] :
( ~ ( m1_subset_1 @ SY222 @ ( u1_struct_0 @ SV2 ) )
| ! [SY223: $i] :
( ~ ( m1_subset_1 @ SY223 @ ( u1_struct_0 @ SV2 ) )
| ( ( k6_autgroup @ SV2 @ ( k1_group_1 @ SV2 @ SY222 @ SY223 ) )
= ( k7_funct_2 @ ( u1_struct_0 @ SV2 ) @ ( u1_struct_0 @ SV2 ) @ ( u1_struct_0 @ SV2 ) @ ( k6_autgroup @ SV2 @ SY222 ) @ ( k6_autgroup @ SV2 @ SY223 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6915]) ).
thf(6992,plain,
! [SV3: $i,SV109: $i] :
( ( ( ~ ( m1_subset_1 @ SV109 @ ( u1_struct_0 @ SV3 ) ) )
= $true )
| ( ( ! [SY391: $i] :
( ~ ( m1_subset_1 @ SY391 @ ( u1_struct_0 @ SV3 ) )
| ~ ( ( ( k1_group_1 @ SV3 @ SV109 @ SY391 )
= SV109 )
| ( ( k1_group_1 @ SV3 @ SY391 @ SV109 )
= SV109 ) )
| ( SY391
= ( k2_group_1 @ SV3 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV3 )
= $false )
| ( ( v3_struct_0 @ SV3 )
= $true )
| ( ( v3_group_1 @ SV3 )
= $false )
| ( ( l1_group_1 @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6916]) ).
thf(6993,plain,
! [SV4: $i,SV110: $i] :
( ( ( ~ ( m1_group_2 @ SV110 @ SV4 ) )
= $true )
| ( ( ! [SY392: $i] :
( ~ ( m1_group_2 @ SY392 @ SV4 )
| ( ( k2_group_1 @ SV110 )
= ( k2_group_1 @ SY392 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV4 )
= $false )
| ( ( v3_struct_0 @ SV4 )
= $true )
| ( ( v3_group_1 @ SV4 )
= $false )
| ( ( l1_group_1 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6917]) ).
thf(6994,plain,
! [SV5: $i,SV111: $i] :
( ( ( ~ ( m1_subset_1 @ SV111 @ ( u1_struct_0 @ SV5 ) ) )
= $true )
| ( ( ! [SY393: $i] :
( ~ ( m1_subset_1 @ SY393 @ ( u1_struct_0 @ SV5 ) )
| ~ ( ( ( k2_group_3 @ SV5 @ ( k2_group_3 @ SV5 @ SV111 @ SY393 ) @ ( k3_group_1 @ SV5 @ SY393 ) )
!= SV111 )
| ( ( k2_group_3 @ SV5 @ ( k2_group_3 @ SV5 @ SV111 @ ( k3_group_1 @ SV5 @ SY393 ) ) @ SY393 )
!= SV111 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV5 )
= $false )
| ( ( v3_struct_0 @ SV5 )
= $true )
| ( ( v3_group_1 @ SV5 )
= $false )
| ( ( l1_group_1 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6918]) ).
thf(6995,plain,
! [SV6: $i,SV112: $i] :
( ( ( ~ ( m1_subset_1 @ SV112 @ ( u1_struct_0 @ SV6 ) ) )
= $true )
| ( ( ( k2_group_3 @ SV6 @ ( k2_group_1 @ SV6 ) @ SV112 )
= ( k2_group_1 @ SV6 ) )
= $true )
| ( ( v4_group_1 @ SV6 )
= $false )
| ( ( v3_struct_0 @ SV6 )
= $true )
| ( ( v3_group_1 @ SV6 )
= $false )
| ( ( l1_group_1 @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6919]) ).
thf(6996,plain,
! [SV7: $i,SV113: $i] :
( ( ( ~ ( m1_subset_1 @ SV113 @ ( u1_struct_0 @ SV7 ) ) )
= $true )
| ( ( ~ ( ( r2_group_3 @ SV7 @ SV113 @ ( k2_group_1 @ SV7 ) )
| ( r2_group_3 @ SV7 @ ( k2_group_1 @ SV7 ) @ SV113 ) )
| ( SV113
= ( k2_group_1 @ SV7 ) ) )
= $true )
| ( ( v4_group_1 @ SV7 )
= $false )
| ( ( v3_struct_0 @ SV7 )
= $true )
| ( ( v3_group_1 @ SV7 )
= $false )
| ( ( l1_group_1 @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6920]) ).
thf(6997,plain,
! [SV8: $i,SV114: $i] :
( ( ( ~ ( m1_subset_1 @ SV114 @ ( u1_struct_0 @ SV8 ) ) )
= $true )
| ( ( ! [SY394: $i] :
( ~ ( m1_subset_1 @ SY394 @ ( u1_struct_0 @ SV8 ) )
| ! [SY395: $i] :
( ~ ( m1_subset_1 @ SY395 @ ( u1_struct_0 @ SV8 ) )
| ~ ( ( ( k1_group_1 @ SV8 @ SV114 @ SY394 )
= ( k1_group_1 @ SV8 @ SV114 @ SY395 ) )
| ( ( k1_group_1 @ SV8 @ SY394 @ SV114 )
= ( k1_group_1 @ SV8 @ SY395 @ SV114 ) ) )
| ( SY394 = SY395 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6921]) ).
thf(6998,plain,
! [SV10: $i,SV115: $i] :
( ( ( ~ ( m1_subset_1 @ SV115 @ ( u1_struct_0 @ SV10 ) ) )
= $true )
| ( ( ! [SY396: $i] :
( ~ ( m1_subset_1 @ SY396 @ ( u1_struct_0 @ SV10 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV10 @ SV115 @ SY396 )
!= ( k1_group_1 @ SV10 @ SY396 @ SV115 ) )
| ( ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SV115 ) @ ( k3_group_1 @ SV10 @ SY396 ) )
= ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY396 ) @ ( k3_group_1 @ SV10 @ SV115 ) ) ) )
| ~ ( ( ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SV115 ) @ ( k3_group_1 @ SV10 @ SY396 ) )
!= ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY396 ) @ ( k3_group_1 @ SV10 @ SV115 ) ) )
| ( ( k1_group_1 @ SV10 @ SV115 @ SY396 )
= ( k1_group_1 @ SV10 @ SY396 @ SV115 ) ) ) ) ) )
= $true )
| ( ( v4_group_1 @ SV10 )
= $false )
| ( ( v3_struct_0 @ SV10 )
= $true )
| ( ( v3_group_1 @ SV10 )
= $false )
| ( ( l1_group_1 @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6922]) ).
thf(6999,plain,
! [SV11: $i] :
( ( ( v3_group_1 @ SV11 )
= $false )
| ( ( v3_struct_0 @ SV11 )
= $true )
| ( ( v1_group_1 @ SV11 )
= $false )
| ( ( ~ ( v4_group_1 @ SV11 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV11 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k3_autgroup @ SV11 ) )
| ~ ( v1_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( v3_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( v4_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( l1_group_1 @ ( k3_autgroup @ SV11 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6923]) ).
thf(7000,plain,
! [SV12: $i,SV102: $i,SV108: $i] :
( ( ( m1_subset_1 @ SV108 @ ( u1_struct_0 @ SV102 ) )
= $false )
| ( ( m1_subset_1 @ SV108 @ ( u1_struct_0 @ SV12 ) )
= $true )
| ( ( m1_group_2 @ SV102 @ SV12 )
= $false )
| ( ( v3_group_1 @ SV12 )
= $false )
| ( ( v3_struct_0 @ SV12 )
= $true )
| ( ( l1_group_1 @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6924]) ).
thf(7001,plain,
! [SV13: $i,SV116: $i] :
( ( ( ~ ( m1_subset_1 @ SV116 @ ( u1_struct_0 @ SV13 ) ) )
= $true )
| ( ( ! [SY397: $i] :
( ~ ( m1_subset_1 @ SY397 @ ( u1_struct_0 @ SV13 ) )
| ~ ( ~ ~ ( ( ( k3_group_5 @ SV13 @ SV116 @ SY397 @ ( k2_group_1 @ SV13 ) )
!= ( k2_group_1 @ SV13 ) )
| ( ( k3_group_5 @ SV13 @ SV116 @ ( k2_group_1 @ SV13 ) @ SY397 )
!= ( k2_group_1 @ SV13 ) ) )
| ( ( k3_group_5 @ SV13 @ ( k2_group_1 @ SV13 ) @ SV116 @ SY397 )
!= ( k2_group_1 @ SV13 ) ) ) ) )
= $true )
| ( ( v4_group_1 @ SV13 )
= $false )
| ( ( v3_struct_0 @ SV13 )
= $true )
| ( ( v3_group_1 @ SV13 )
= $false )
| ( ( l1_group_1 @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6925]) ).
thf(7002,plain,
! [SV15: $i,SV117: $i] :
( ( ( ~ ( m1_subset_1 @ SV117 @ ( u1_struct_0 @ SV15 ) ) )
= $true )
| ( ( ! [SY398: $i] :
( ~ ( m1_subset_1 @ SY398 @ ( u1_struct_0 @ SV15 ) )
| ( ( k2_group_3 @ SV15 @ ( k3_group_1 @ SV15 @ SV117 ) @ SY398 )
= ( k3_group_1 @ SV15 @ ( k2_group_3 @ SV15 @ SV117 @ SY398 ) ) ) ) )
= $true )
| ( ( v4_group_1 @ SV15 )
= $false )
| ( ( v3_struct_0 @ SV15 )
= $true )
| ( ( v3_group_1 @ SV15 )
= $false )
| ( ( l1_group_1 @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6926]) ).
thf(7003,plain,
! [SV16: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK19_SY243 @ SV16 ) @ ( u1_struct_0 @ SV16 ) ) )
= $false )
| ( ( v3_group_1 @ SV16 )
= $false )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6927]) ).
thf(7004,plain,
! [SV16: $i] :
( ( ( ~ ! [SY383: $i] :
( ~ ( m1_subset_1 @ SY383 @ ( u1_struct_0 @ SV16 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV16 @ SY383 @ ( sK19_SY243 @ SV16 ) )
!= SY383 )
| ( ( k1_group_1 @ SV16 @ ( sK19_SY243 @ SV16 ) @ SY383 )
!= SY383 ) )
| ~ ~ ! [SY384: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY384 @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ SY383 @ SY384 )
!= ( sK19_SY243 @ SV16 ) ) )
| ( ( k1_group_1 @ SV16 @ SY384 @ SY383 )
!= ( sK19_SY243 @ SV16 ) ) ) ) ) )
= $false )
| ( ( v3_group_1 @ SV16 )
= $false )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6927]) ).
thf(7005,plain,
! [SV16: $i,SV106: $i] :
( ( ( ~ ( m1_subset_1 @ SV106 @ ( u1_struct_0 @ SV16 ) ) )
= $true )
| ( ( ~ ! [SY385: $i] :
( ~ ( m1_subset_1 @ SY385 @ ( u1_struct_0 @ SV16 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV16 @ SY385 @ SV106 )
!= SY385 )
| ( ( k1_group_1 @ SV16 @ SV106 @ SY385 )
!= SY385 ) )
| ~ ~ ! [SY386: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY386 @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ SY385 @ SY386 )
!= SV106 ) )
| ( ( k1_group_1 @ SV16 @ SY386 @ SY385 )
!= SV106 ) ) ) ) )
= $true )
| ( ( v3_group_1 @ SV16 )
= $true )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6928]) ).
thf(7006,plain,
! [SV17: $i,SV118: $i] :
( ( ( ~ ( m1_subset_1 @ SV118 @ ( u1_struct_0 @ SV17 ) ) )
= $true )
| ( ( ! [SY399: $i] :
( ~ ( m1_subset_1 @ SY399 @ ( u1_struct_0 @ SV17 ) )
| ( ( k2_group_3 @ SV17 @ SV118 @ SY399 )
!= ( k2_group_1 @ SV17 ) )
| ( SV118
= ( k2_group_1 @ SV17 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV17 )
= $false )
| ( ( v3_struct_0 @ SV17 )
= $true )
| ( ( v3_group_1 @ SV17 )
= $false )
| ( ( l1_group_1 @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6929]) ).
thf(7007,plain,
! [SV18: $i,SV119: $i] :
( ( ( ~ ( m1_subset_1 @ SV119 @ ( u1_struct_0 @ SV18 ) ) )
= $true )
| ( ( r1_group_3 @ SV18 @ SV119 @ SV119 )
= $true )
| ( ( v4_group_1 @ SV18 )
= $false )
| ( ( v3_struct_0 @ SV18 )
= $true )
| ( ( v3_group_1 @ SV18 )
= $false )
| ( ( l1_group_1 @ SV18 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6930]) ).
thf(7008,plain,
! [SV92: $i,SV79: $i,SV19: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV19 )
| ~ ( v3_group_1 @ SV19 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV19 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV19 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV79 @ ( u1_struct_0 @ SV19 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV92 @ ( u1_struct_0 @ SV19 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k2_group_3 @ SV19 @ SV79 @ SV92 ) @ ( u1_struct_0 @ SV19 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6931]) ).
thf(7009,plain,
! [SV21: $i,SV120: $i] :
( ( ( ~ ( m1_subset_1 @ SV120 @ ( u1_struct_0 @ SV21 ) ) )
= $true )
| ( ( ! [SY400: $i] :
( ~ ( m1_subset_1 @ SY400 @ ( u1_struct_0 @ SV21 ) )
| ! [SY401: $i] :
( ~ ( m1_subset_1 @ SY401 @ ( u1_struct_0 @ SV21 ) )
| ~ ~ ( ~ ( r2_group_3 @ SV21 @ SV120 @ SY400 )
| ~ ( r2_group_3 @ SV21 @ SY400 @ SY401 ) )
| ( r2_group_3 @ SV21 @ SV120 @ SY401 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV21 )
= $false )
| ( ( v3_struct_0 @ SV21 )
= $true )
| ( ( v3_group_1 @ SV21 )
= $false )
| ( ( l1_group_1 @ SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6932]) ).
thf(7010,plain,
! [SV22: $i] :
( ( ( v3_group_1 @ SV22 )
= $false )
| ( ( v3_struct_0 @ SV22 )
= $true )
| ( ( v1_group_1 @ SV22 )
= $false )
| ( ( ~ ( v4_group_1 @ SV22 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV22 ) )
= $true )
| ( ( ! [SY257: $i] :
( ~ ~ ( ~ ( v1_group_1 @ SY257 )
| ~ ( m1_group_2 @ SY257 @ SV22 ) )
| ( ( u1_struct_0 @ SY257 )
!= ( u1_struct_0 @ SV22 ) )
| ( SY257 = SV22 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6933]) ).
thf(7011,plain,
! [SV23: $i,SV121: $i] :
( ( ( ~ ( m1_subset_1 @ SV121 @ ( u1_struct_0 @ SV23 ) ) )
= $true )
| ( ( ! [SY402: $i] :
( ~ ( m1_subset_1 @ SY402 @ ( u1_struct_0 @ SV23 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV23 @ SV121 @ SY402 )
!= ( k1_group_1 @ SV23 @ SY402 @ SV121 ) )
| ( ( k3_group_1 @ SV23 @ ( k1_group_1 @ SV23 @ SV121 @ SY402 ) )
= ( k1_group_1 @ SV23 @ ( k3_group_1 @ SV23 @ SV121 ) @ ( k3_group_1 @ SV23 @ SY402 ) ) ) )
| ~ ( ( ( k3_group_1 @ SV23 @ ( k1_group_1 @ SV23 @ SV121 @ SY402 ) )
!= ( k1_group_1 @ SV23 @ ( k3_group_1 @ SV23 @ SV121 ) @ ( k3_group_1 @ SV23 @ SY402 ) ) )
| ( ( k1_group_1 @ SV23 @ SV121 @ SY402 )
= ( k1_group_1 @ SV23 @ SY402 @ SV121 ) ) ) ) ) )
= $true )
| ( ( v4_group_1 @ SV23 )
= $false )
| ( ( v3_struct_0 @ SV23 )
= $true )
| ( ( v3_group_1 @ SV23 )
= $false )
| ( ( l1_group_1 @ SV23 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6934]) ).
thf(7012,plain,
! [SV24: $i,SV122: $i] :
( ( ( ~ ( m1_subset_1 @ SV122 @ ( u1_struct_0 @ SV24 ) ) )
= $true )
| ( ( ~ ( ( ( k2_group_5 @ SV24 @ ( k2_group_1 @ SV24 ) @ SV122 )
!= ( k2_group_1 @ SV24 ) )
| ( ( k2_group_5 @ SV24 @ SV122 @ ( k2_group_1 @ SV24 ) )
!= ( k2_group_1 @ SV24 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV24 )
= $false )
| ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( v3_group_1 @ SV24 )
= $false )
| ( ( l1_group_1 @ SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6935]) ).
thf(7013,plain,
! [SV26: $i,SV123: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV123 )
| ~ ( v3_group_1 @ SV123 ) )
| ~ ( v4_group_1 @ SV123 ) )
| ~ ( l1_group_1 @ SV123 ) ) )
= $true )
| ( ( ! [SY403: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY403 )
| ~ ( v3_group_1 @ SY403 ) )
| ~ ( v4_group_1 @ SY403 ) )
| ~ ( l1_group_1 @ SY403 ) )
| ~ ~ ( ~ ( m1_group_2 @ SV26 @ SV123 )
| ~ ( m1_group_2 @ SV123 @ SY403 ) )
| ( m1_group_2 @ SV26 @ SY403 ) ) )
= $true )
| ( ( v4_group_1 @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( v3_group_1 @ SV26 )
= $false )
| ( ( l1_group_1 @ SV26 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6936]) ).
thf(7014,plain,
! [SV28: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK23_SY268 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
| ! [SY430: $i] :
( ~ ( m1_subset_1 @ SY430 @ ( u1_struct_0 @ SV28 ) )
| ~ ( ~ ~ ! [SY431: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY431 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ ( sK23_SY268 @ SV28 ) @ SY431 )
!= SY430 ) )
| ~ ~ ! [SY432: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY432 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY432 @ ( sK23_SY268 @ SV28 ) )
!= SY430 ) ) ) ) )
= $false )
| ( ( m1_subset_1 @ ( sK16_SY265 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[6937]) ).
thf(7015,plain,
! [SV28: $i] :
( ( ( m1_subset_1 @ ( sK21_SY377 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ! [SY268: $i] :
( ~ ( m1_subset_1 @ SY268 @ ( u1_struct_0 @ SV28 ) )
| ! [SY269: $i] :
( ~ ( m1_subset_1 @ SY269 @ ( u1_struct_0 @ SV28 ) )
| ~ ( ~ ~ ! [SY270: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY270 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY268 @ SY270 )
!= SY269 ) )
| ~ ~ ! [SY271: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY271 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY271 @ SY268 )
!= SY269 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6938]) ).
thf(7016,plain,
! [SV28: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK24_SY389 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( sK21_SY377 @ SV28 ) ) @ ( sK24_SY389 @ SV28 ) )
= ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( k1_group_1 @ SV28 @ ( sK21_SY377 @ SV28 ) @ ( sK24_SY389 @ SV28 ) ) ) ) )
= $false )
| ( ( ~ ! [SY268: $i] :
( ~ ( m1_subset_1 @ SY268 @ ( u1_struct_0 @ SV28 ) )
| ! [SY269: $i] :
( ~ ( m1_subset_1 @ SY269 @ ( u1_struct_0 @ SV28 ) )
| ~ ( ~ ~ ! [SY270: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY270 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY268 @ SY270 )
!= SY269 ) )
| ~ ~ ! [SY271: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY271 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY271 @ SY268 )
!= SY269 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[6939]) ).
thf(7017,plain,
! [SV93: $i,SV81: $i,SV29: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV29 )
| ~ ( v3_group_1 @ SV29 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV29 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV29 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV81 @ ( u1_struct_0 @ SV29 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV93 @ ( u1_struct_0 @ SV29 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k2_group_5 @ SV29 @ SV81 @ SV93 ) @ ( u1_struct_0 @ SV29 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6940]) ).
thf(7018,plain,
! [SV94: $i,SV82: $i,SV30: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV30 )
| ~ ( v3_group_1 @ SV30 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV30 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV30 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV82 @ ( u1_struct_0 @ SV30 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV94 @ ( u1_struct_0 @ SV30 ) ) )
= $true )
| ( ( r2_group_3 @ SV30 @ SV82 @ SV82 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6941]) ).
thf(7019,plain,
! [SV31: $i,SV124: $i] :
( ( ( ~ ( m1_subset_1 @ SV124 @ ( u1_struct_0 @ SV31 ) ) )
= $true )
| ( ( ! [SY404: $i] :
( ~ ( m1_subset_1 @ SY404 @ ( u1_struct_0 @ SV31 ) )
| ( ( k3_group_1 @ SV31 @ SV124 )
!= ( k3_group_1 @ SV31 @ SY404 ) )
| ( SV124 = SY404 ) ) )
= $true )
| ( ( v4_group_1 @ SV31 )
= $false )
| ( ( v3_struct_0 @ SV31 )
= $true )
| ( ( v3_group_1 @ SV31 )
= $false )
| ( ( l1_group_1 @ SV31 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6942]) ).
thf(7020,plain,
! [SV32: $i,SV125: $i] :
( ( ( ~ ( m1_subset_1 @ SV125 @ ( u1_struct_0 @ SV32 ) ) )
= $true )
| ( ( ~ ( ( ( k2_group_5 @ SV32 @ SV125 @ ( k3_group_1 @ SV32 @ SV125 ) )
!= ( k2_group_1 @ SV32 ) )
| ( ( k2_group_5 @ SV32 @ ( k3_group_1 @ SV32 @ SV125 ) @ SV125 )
!= ( k2_group_1 @ SV32 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV32 )
= $false )
| ( ( v3_struct_0 @ SV32 )
= $true )
| ( ( v3_group_1 @ SV32 )
= $false )
| ( ( l1_group_1 @ SV32 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6943]) ).
thf(7021,plain,
! [SV33: $i,SV126: $i] :
( ( ( ~ ( m1_subset_1 @ SV126 @ ( u1_struct_0 @ SV33 ) ) )
= $true )
| ( ( ! [SY405: $i] :
( ~ ( m1_subset_1 @ SY405 @ ( u1_struct_0 @ SV33 ) )
| ! [SY406: $i] :
( ~ ( m1_subset_1 @ SY406 @ ( u1_struct_0 @ SV33 ) )
| ( ( k2_group_3 @ SV33 @ SV126 @ SY405 )
!= ( k2_group_3 @ SV33 @ SY406 @ SY405 ) )
| ( SV126 = SY406 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV33 )
= $false )
| ( ( v3_struct_0 @ SV33 )
= $true )
| ( ( v3_group_1 @ SV33 )
= $false )
| ( ( l1_group_1 @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6944]) ).
thf(7022,plain,
! [SV34: $i,SV127: $i] :
( ( ( ~ ( m1_subset_1 @ SV127 @ ( u1_struct_0 @ SV34 ) ) )
= $true )
| ( ( ! [SY407: $i] :
( ~ ( m1_subset_1 @ SY407 @ ( u1_struct_0 @ SV34 ) )
| ~ ( ( ( k1_group_1 @ SV34 @ SV127 @ SY407 )
= ( k2_group_1 @ SV34 ) )
| ( ( k1_group_1 @ SV34 @ SY407 @ SV127 )
= ( k2_group_1 @ SV34 ) ) )
| ~ ( ( SV127
!= ( k3_group_1 @ SV34 @ SY407 ) )
| ( SY407
!= ( k3_group_1 @ SV34 @ SV127 ) ) ) ) )
= $true )
| ( ( v4_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6945]) ).
thf(7023,plain,
! [SV83: $i,SV35: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV35 )
| ~ ( v3_group_1 @ SV35 ) )
| ~ ( v4_group_1 @ SV35 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV35 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV83 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV83 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV83 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV83 ) )
= $true )
| ( ( r1_group_6 @ SV35 @ SV35 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6946]) ).
thf(7024,plain,
! [SV36: $i,SV128: $i] :
( ( ( ~ ( m1_subset_1 @ SV128 @ ( u1_struct_0 @ SV36 ) ) )
= $true )
| ( ( ! [SY408: $i] :
( ~ ( m1_subset_1 @ SY408 @ ( u1_struct_0 @ SV36 ) )
| ! [SY409: $i] :
( ~ ( m1_subset_1 @ SY409 @ ( u1_struct_0 @ SV36 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV36 @ SV128 @ SY408 )
!= SY409 )
| ( SV128
= ( k1_group_1 @ SV36 @ SY409 @ ( k3_group_1 @ SV36 @ SY408 ) ) ) )
| ~ ( ( SV128
!= ( k1_group_1 @ SV36 @ SY409 @ ( k3_group_1 @ SV36 @ SY408 ) ) )
| ( ( k1_group_1 @ SV36 @ SV128 @ SY408 )
= SY409 ) ) ) ) ) )
= $true )
| ( ( v4_group_1 @ SV36 )
= $false )
| ( ( v3_struct_0 @ SV36 )
= $true )
| ( ( v3_group_1 @ SV36 )
= $false )
| ( ( l1_group_1 @ SV36 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6947]) ).
thf(7025,plain,
! [SV37: $i,SV129: $i] :
( ( ( ~ ( m1_group_2 @ SV129 @ SV37 ) )
= $true )
| ( ( v4_group_1 @ SV129 )
= $true )
| ( ( v4_group_1 @ SV37 )
= $false )
| ( ( v3_struct_0 @ SV37 )
= $true )
| ( ( v3_group_1 @ SV37 )
= $false )
| ( ( l1_group_1 @ SV37 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6948]) ).
thf(7026,plain,
! [SV38: $i,SV103: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV103 )
| ~ ( v3_group_1 @ SV103 ) ) )
= $true )
| ( ( m1_group_2 @ SV103 @ SV38 )
= $false )
| ( ( v3_group_1 @ SV38 )
= $false )
| ( ( v3_struct_0 @ SV38 )
= $true )
| ( ( l1_group_1 @ SV38 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6949]) ).
thf(7027,plain,
! [SV38: $i,SV103: $i] :
( ( ( l1_group_1 @ SV103 )
= $true )
| ( ( m1_group_2 @ SV103 @ SV38 )
= $false )
| ( ( v3_group_1 @ SV38 )
= $false )
| ( ( v3_struct_0 @ SV38 )
= $true )
| ( ( l1_group_1 @ SV38 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6950]) ).
thf(7028,plain,
! [SV41: $i,SV130: $i] :
( ( ( ~ ( m1_subset_1 @ SV130 @ ( u1_struct_0 @ SV41 ) ) )
= $true )
| ( ( ! [SY410: $i] :
( ~ ( m1_subset_1 @ SY410 @ ( u1_struct_0 @ SV41 ) )
| ( ( k3_group_1 @ SV41 @ ( k2_group_5 @ SV41 @ SV130 @ SY410 ) )
= ( k2_group_5 @ SV41 @ SY410 @ SV130 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV41 )
= $false )
| ( ( v3_struct_0 @ SV41 )
= $true )
| ( ( v3_group_1 @ SV41 )
= $false )
| ( ( l1_group_1 @ SV41 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6951]) ).
thf(7029,plain,
! [SV42: $i,SV131: $i] :
( ( ( ~ ( m1_subset_1 @ SV131 @ ( u1_struct_0 @ SV42 ) ) )
= $true )
| ( ( ! [SY411: $i] :
( ~ ( m1_subset_1 @ SY411 @ ( u1_struct_0 @ SV42 ) )
| ( ( k3_group_5 @ SV42 @ SV131 @ SV131 @ SY411 )
= ( k2_group_1 @ SV42 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV42 )
= $false )
| ( ( v3_struct_0 @ SV42 )
= $true )
| ( ( v3_group_1 @ SV42 )
= $false )
| ( ( l1_group_1 @ SV42 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6952]) ).
thf(7030,plain,
! [SV43: $i,SV104: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK25_SY375 @ SV104 @ SV43 ) @ ( u1_struct_0 @ SV43 ) )
| ~ ( ( ( k1_group_1 @ SV43 @ ( sK25_SY375 @ SV104 @ SV43 ) @ SV104 )
!= ( sK25_SY375 @ SV104 @ SV43 ) )
| ( ( k1_group_1 @ SV43 @ SV104 @ ( sK25_SY375 @ SV104 @ SV43 ) )
!= ( sK25_SY375 @ SV104 @ SV43 ) ) ) )
= $false )
| ( ( SV104
= ( k2_group_1 @ SV43 ) )
= $true )
| ( ( m1_subset_1 @ SV104 @ ( u1_struct_0 @ SV43 ) )
= $false )
| ( ( v3_group_1 @ SV43 )
= $false )
| ( ( v3_struct_0 @ SV43 )
= $true )
| ( ( l1_group_1 @ SV43 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[6953]) ).
thf(7031,plain,
( ( l1_group_1 @ sK6_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6954]) ).
thf(7032,plain,
( ( ~ ( v3_struct_0 @ sK6_SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6955]) ).
thf(7033,plain,
! [SV105: $i,SV44: $i,SV132: $i] :
( ( ( ~ ( m1_subset_1 @ SV132 @ ( u1_struct_0 @ SV44 ) ) )
= $true )
| ( ( ! [SY412: $i] :
( ~ ( m1_subset_1 @ SY412 @ ( u1_struct_0 @ SV44 ) )
| ( ( k1_group_1 @ SV44 @ ( k1_group_1 @ SV44 @ SV105 @ SV132 ) @ SY412 )
= ( k1_group_1 @ SV44 @ SV105 @ ( k1_group_1 @ SV44 @ SV132 @ SY412 ) ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV105 @ ( u1_struct_0 @ SV44 ) )
= $false )
| ( ( v4_group_1 @ SV44 )
= $false )
| ( ( v3_struct_0 @ SV44 )
= $true )
| ( ( l1_group_1 @ SV44 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6956]) ).
thf(7034,plain,
! [SV44: $i] :
( ( ( m1_subset_1 @ ( sK22_SY381 @ SV44 ) @ ( u1_struct_0 @ SV44 ) )
= $true )
| ( ( v4_group_1 @ SV44 )
= $true )
| ( ( v3_struct_0 @ SV44 )
= $true )
| ( ( l1_group_1 @ SV44 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6957]) ).
thf(7035,plain,
! [SV44: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK26_SY390 @ SV44 ) @ ( u1_struct_0 @ SV44 ) )
| ( ( k1_group_1 @ SV44 @ ( k1_group_1 @ SV44 @ ( sK17_SY300 @ SV44 ) @ ( sK22_SY381 @ SV44 ) ) @ ( sK26_SY390 @ SV44 ) )
= ( k1_group_1 @ SV44 @ ( sK17_SY300 @ SV44 ) @ ( k1_group_1 @ SV44 @ ( sK22_SY381 @ SV44 ) @ ( sK26_SY390 @ SV44 ) ) ) ) )
= $false )
| ( ( v4_group_1 @ SV44 )
= $true )
| ( ( v3_struct_0 @ SV44 )
= $true )
| ( ( l1_group_1 @ SV44 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[6958]) ).
thf(7036,plain,
! [SV45: $i,SV133: $i] :
( ( ( ~ ( m1_subset_1 @ SV133 @ ( u1_struct_0 @ SV45 ) ) )
= $true )
| ( ( ! [SY413: $i] :
( ~ ( m1_subset_1 @ SY413 @ ( u1_struct_0 @ SV45 ) )
| ( ( k3_group_1 @ SV45 @ ( k1_group_1 @ SV45 @ SV133 @ SY413 ) )
= ( k1_group_1 @ SV45 @ ( k3_group_1 @ SV45 @ SY413 ) @ ( k3_group_1 @ SV45 @ SV133 ) ) ) ) )
= $true )
| ( ( v4_group_1 @ SV45 )
= $false )
| ( ( v3_struct_0 @ SV45 )
= $true )
| ( ( v3_group_1 @ SV45 )
= $false )
| ( ( l1_group_1 @ SV45 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6959]) ).
thf(7037,plain,
! [SV46: $i] :
( ( ( v3_group_1 @ SV46 )
= $false )
| ( ( v3_struct_0 @ SV46 )
= $true )
| ( ( v1_group_1 @ SV46 )
= $false )
| ( ( ~ ( v4_group_1 @ SV46 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV46 ) )
= $true )
| ( ( ( k6_autgroup @ SV46 @ ( k2_group_1 @ SV46 ) )
= ( k6_partfun1 @ ( u1_struct_0 @ SV46 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6960]) ).
thf(7038,plain,
! [SV98: $i,SV95: $i,SV84: $i,SV47: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV47 )
| ~ ( v3_group_1 @ SV47 ) )
| ~ ( v4_group_1 @ SV47 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV47 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV84 @ ( u1_struct_0 @ SV47 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV95 @ ( u1_struct_0 @ SV47 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV98 @ ( u1_struct_0 @ SV47 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k3_group_5 @ SV47 @ SV84 @ SV95 @ SV98 ) @ ( u1_struct_0 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6961]) ).
thf(7039,plain,
! [SV48: $i,SV134: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV134 )
| ~ ( v3_group_1 @ SV134 ) )
| ~ ( v4_group_1 @ SV134 ) )
| ~ ( l1_group_1 @ SV134 ) ) )
= $true )
| ( ( ! [SY414: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY414 )
| ~ ( v3_group_1 @ SY414 ) )
| ~ ( v4_group_1 @ SY414 ) )
| ~ ( l1_group_1 @ SY414 ) )
| ~ ~ ( ~ ( r1_group_6 @ SV48 @ SV134 )
| ~ ( r1_group_6 @ SV134 @ SY414 ) )
| ( r1_group_6 @ SV48 @ SY414 ) ) )
= $true )
| ( ( v4_group_1 @ SV48 )
= $false )
| ( ( v3_struct_0 @ SV48 )
= $true )
| ( ( v3_group_1 @ SV48 )
= $false )
| ( ( l1_group_1 @ SV48 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6962]) ).
thf(7040,plain,
! [SV85: $i,SV49: $i] :
( ( ( v3_group_1 @ SV49 )
= $false )
| ( ( v3_struct_0 @ SV49 )
= $true )
| ( ( ~ ( v4_group_1 @ SV49 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV49 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV85 @ ( u1_struct_0 @ SV49 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k3_group_1 @ SV49 @ SV85 ) @ ( u1_struct_0 @ SV49 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6963]) ).
thf(7041,plain,
! [SV96: $i,SV86: $i,SV51: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV51 )
| ~ ( v3_group_1 @ SV51 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV51 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV51 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV86 @ ( u1_struct_0 @ SV51 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV96 @ ( u1_struct_0 @ SV51 ) ) )
= $true )
| ( ( ~ ( r2_group_3 @ SV51 @ SV86 @ SV96 )
| ( r2_group_3 @ SV51 @ SV96 @ SV86 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6964]) ).
thf(7042,plain,
! [SV52: $i] :
( ( ( v3_group_1 @ SV52 )
= $false )
| ( ( v3_struct_0 @ SV52 )
= $true )
| ( ( v1_group_1 @ SV52 )
= $false )
| ( ( ~ ( v4_group_1 @ SV52 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV52 ) )
= $true )
| ( ( ! [SY313: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY313 )
| ~ ( v1_group_1 @ SY313 ) )
| ~ ( v3_group_1 @ SY313 ) )
| ~ ( v4_group_1 @ SY313 ) )
| ~ ( l1_group_1 @ SY313 ) )
| ~ ( r1_group_6 @ SV52 @ SY313 )
| ( r1_group_6 @ SY313 @ SV52 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6965]) ).
thf(7043,plain,
! [SV53: $i,SV135: $i] :
( ( ( ~ ( m1_group_2 @ SV135 @ SV53 ) )
= $true )
| ( ( ( k2_group_1 @ SV135 )
= ( k2_group_1 @ SV53 ) )
= $true )
| ( ( v4_group_1 @ SV53 )
= $false )
| ( ( v3_struct_0 @ SV53 )
= $true )
| ( ( v3_group_1 @ SV53 )
= $false )
| ( ( l1_group_1 @ SV53 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6966]) ).
thf(7044,plain,
! [SV54: $i,SV136: $i] :
( ( ( ~ ( m1_subset_1 @ SV136 @ ( u1_struct_0 @ SV54 ) ) )
= $true )
| ( ( ! [SY415: $i] :
( ~ ( m1_subset_1 @ SY415 @ ( u1_struct_0 @ SV54 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV54 @ SV136 @ SY415 )
!= ( k1_group_1 @ SV54 @ SY415 @ SV136 ) )
| ( ( k1_group_1 @ SV54 @ SV136 @ ( k3_group_1 @ SV54 @ SY415 ) )
= ( k1_group_1 @ SV54 @ ( k3_group_1 @ SV54 @ SY415 ) @ SV136 ) ) )
| ~ ( ( ( k1_group_1 @ SV54 @ SV136 @ ( k3_group_1 @ SV54 @ SY415 ) )
!= ( k1_group_1 @ SV54 @ ( k3_group_1 @ SV54 @ SY415 ) @ SV136 ) )
| ( ( k1_group_1 @ SV54 @ SV136 @ SY415 )
= ( k1_group_1 @ SV54 @ SY415 @ SV136 ) ) ) ) ) )
= $true )
| ( ( v4_group_1 @ SV54 )
= $false )
| ( ( v3_struct_0 @ SV54 )
= $true )
| ( ( v3_group_1 @ SV54 )
= $false )
| ( ( l1_group_1 @ SV54 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6967]) ).
thf(7045,plain,
! [SV55: $i,SV137: $i] :
( ( ( ~ ( m1_subset_1 @ SV137 @ ( u1_struct_0 @ SV55 ) ) )
= $true )
| ( ( ! [SY416: $i] :
( ~ ( m1_group_2 @ SY416 @ SV55 )
| ! [SY417: $i] :
( ~ ( m1_subset_1 @ SY417 @ ( u1_struct_0 @ SY416 ) )
| ( SY417 != SV137 )
| ( ( k3_group_1 @ SY416 @ SY417 )
= ( k3_group_1 @ SV55 @ SV137 ) ) ) ) )
= $true )
| ( ( v4_group_1 @ SV55 )
= $false )
| ( ( v3_struct_0 @ SV55 )
= $true )
| ( ( v3_group_1 @ SV55 )
= $false )
| ( ( l1_group_1 @ SV55 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6968]) ).
thf(7046,plain,
! [SV56: $i,SV138: $i] :
( ( ( ~ ( m1_subset_1 @ SV138 @ ( u1_struct_0 @ SV56 ) ) )
= $true )
| ( ( ! [SY418: $i] :
( ~ ( m1_subset_1 @ SY418 @ ( u1_struct_0 @ SV56 ) )
| ~ ~ ( ( ( k1_group_1 @ SV56 @ SV138 @ SY418 )
!= ( k2_group_1 @ SV56 ) )
| ( ( k1_group_1 @ SV56 @ SY418 @ SV138 )
!= ( k2_group_1 @ SV56 ) ) )
| ( SY418
= ( k3_group_1 @ SV56 @ SV138 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV56 )
= $false )
| ( ( v3_struct_0 @ SV56 )
= $true )
| ( ( v3_group_1 @ SV56 )
= $false )
| ( ( l1_group_1 @ SV56 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6969]) ).
thf(7047,plain,
! [SV57: $i,SV139: $i] :
( ( ( ~ ( m1_subset_1 @ SV139 @ ( u1_struct_0 @ SV57 ) ) )
= $true )
| ( ( ( k2_group_3 @ SV57 @ SV139 @ SV139 )
= SV139 )
= $true )
| ( ( v4_group_1 @ SV57 )
= $false )
| ( ( v3_struct_0 @ SV57 )
= $true )
| ( ( v3_group_1 @ SV57 )
= $false )
| ( ( l1_group_1 @ SV57 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6970]) ).
thf(7048,plain,
! [SV59: $i,SV140: $i] :
( ( ( ~ ( m1_subset_1 @ SV140 @ ( u1_struct_0 @ SV59 ) ) )
= $true )
| ( ( ! [SY419: $i] :
( ~ ( m1_subset_1 @ SY419 @ ( u1_struct_0 @ SV59 ) )
| ~ ! [SY420: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY420 @ ( u1_struct_0 @ SV59 ) )
| ( ( k1_group_1 @ SV59 @ SV140 @ SY420 )
!= SY419 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV59 )
= $false )
| ( ( v3_struct_0 @ SV59 )
= $true )
| ( ( v3_group_1 @ SV59 )
= $false )
| ( ( l1_group_1 @ SV59 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6971]) ).
thf(7049,plain,
! [SV60: $i,SV141: $i] :
( ( ( ~ ( m1_subset_1 @ SV141 @ ( u1_struct_0 @ SV60 ) ) )
= $true )
| ( ( ! [SY421: $i] :
( ~ ( m1_subset_1 @ SY421 @ ( u1_struct_0 @ SV60 ) )
| ~ ( ~ ( ( SY421
!= ( k3_group_1 @ SV60 @ SV141 ) )
| ~ ( ( ( k1_group_1 @ SV60 @ SV141 @ SY421 )
!= ( k2_group_1 @ SV60 ) )
| ( ( k1_group_1 @ SV60 @ SY421 @ SV141 )
!= ( k2_group_1 @ SV60 ) ) ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV60 @ SV141 @ SY421 )
!= ( k2_group_1 @ SV60 ) )
| ( ( k1_group_1 @ SV60 @ SY421 @ SV141 )
!= ( k2_group_1 @ SV60 ) ) )
| ( SY421
= ( k3_group_1 @ SV60 @ SV141 ) ) ) ) ) )
= $true )
| ( ( v4_group_1 @ SV60 )
= $false )
| ( ( v3_struct_0 @ SV60 )
= $true )
| ( ( v3_group_1 @ SV60 )
= $false )
| ( ( l1_group_1 @ SV60 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6972]) ).
thf(7050,plain,
! [SV87: $i,SV61: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV61 )
| ~ ( v1_group_1 @ SV61 ) )
| ~ ( v3_group_1 @ SV61 ) )
| ~ ( v4_group_1 @ SV61 ) )
| ~ ( l1_group_1 @ SV61 ) ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV87 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( r2_group_6 @ SV61 @ SV87 )
| ( r2_group_6 @ SV87 @ SV61 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6973]) ).
thf(7051,plain,
! [SV62: $i] :
( ( ( v3_group_1 @ SV62 )
= $false )
| ( ( v3_struct_0 @ SV62 )
= $true )
| ( ( v1_group_1 @ SV62 )
= $false )
| ( ( ~ ( v4_group_1 @ SV62 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV62 ) )
= $true )
| ( ( ! [SY330: $i] :
( ~ ( m1_subset_1 @ SY330 @ ( u1_struct_0 @ SV62 ) )
| ( ( k8_funct_2 @ ( u1_struct_0 @ SV62 ) @ ( u1_struct_0 @ SV62 ) @ ( k6_autgroup @ SV62 @ ( k2_group_1 @ SV62 ) ) @ SY330 )
= SY330 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6974]) ).
thf(7052,plain,
! [SV88: $i,SV63: $i,SV97: $i] :
( ( ( m1_subset_1 @ SV97 @ ( u1_struct_0 @ SV63 ) )
= $false )
| ( ( l1_group_1 @ SV63 )
= $false )
| ( ( v3_struct_0 @ SV63 )
= $true )
| ( ( m1_subset_1 @ SV88 @ ( u1_struct_0 @ SV63 ) )
= $false )
| ( ( m1_subset_1 @ ( k1_group_1 @ SV63 @ SV88 @ SV97 ) @ ( u1_struct_0 @ SV63 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6975]) ).
thf(7053,plain,
! [SV64: $i,SV142: $i] :
( ( ( ~ ( m1_subset_1 @ SV142 @ ( u1_struct_0 @ SV64 ) ) )
= $true )
| ( ( ( k2_group_5 @ SV64 @ SV142 @ SV142 )
= ( k2_group_1 @ SV64 ) )
= $true )
| ( ( v4_group_1 @ SV64 )
= $false )
| ( ( v3_struct_0 @ SV64 )
= $true )
| ( ( v3_group_1 @ SV64 )
= $false )
| ( ( l1_group_1 @ SV64 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6976]) ).
thf(7054,plain,
! [SV66: $i,SV143: $i] :
( ( ( ~ ( m1_subset_1 @ SV143 @ ( u1_struct_0 @ SV66 ) ) )
= $true )
| ( ( ! [SY422: $i] :
( ~ ( m1_subset_1 @ SY422 @ ( u1_struct_0 @ SV66 ) )
| ~ ( r1_group_3 @ SV66 @ SV143 @ SY422 )
| ( r1_group_3 @ SV66 @ SY422 @ SV143 ) ) )
= $true )
| ( ( v4_group_1 @ SV66 )
= $false )
| ( ( v3_struct_0 @ SV66 )
= $true )
| ( ( v3_group_1 @ SV66 )
= $false )
| ( ( l1_group_1 @ SV66 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6977]) ).
thf(7055,plain,
! [SV67: $i,SV144: $i] :
( ( ( ~ ( m1_subset_1 @ SV144 @ ( u1_struct_0 @ SV67 ) ) )
= $true )
| ( ( ( k3_group_1 @ SV67 @ ( k3_group_1 @ SV67 @ SV144 ) )
= SV144 )
= $true )
| ( ( v4_group_1 @ SV67 )
= $false )
| ( ( v3_struct_0 @ SV67 )
= $true )
| ( ( v3_group_1 @ SV67 )
= $false )
| ( ( l1_group_1 @ SV67 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6978]) ).
thf(7056,plain,
! [SV68: $i,SV145: $i] :
( ( ( ~ ( m1_subset_1 @ SV145 @ ( u1_struct_0 @ SV68 ) ) )
= $true )
| ( ( ( k2_group_3 @ SV68 @ SV145 @ ( k2_group_1 @ SV68 ) )
= SV145 )
= $true )
| ( ( v4_group_1 @ SV68 )
= $false )
| ( ( v3_struct_0 @ SV68 )
= $true )
| ( ( v3_group_1 @ SV68 )
= $false )
| ( ( l1_group_1 @ SV68 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6979]) ).
thf(7057,plain,
! [SV107: $i,SV70: $i] :
( ( ( ! [SY387: $i] :
( ~ ( m1_subset_1 @ SY387 @ ( u1_struct_0 @ SV70 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV70 @ SY387 @ SV107 )
!= SY387 )
| ( ( k1_group_1 @ SV70 @ SV107 @ SY387 )
!= SY387 ) )
| ~ ~ ! [SY388: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY388 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ SY387 @ SY388 )
!= SV107 ) )
| ( ( k1_group_1 @ SV70 @ SY388 @ SY387 )
!= SV107 ) ) ) ) )
= $false )
| ( ( m1_subset_1 @ SV107 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK14_SY342 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6980]) ).
thf(7058,plain,
! [SV70: $i,SV146: $i] :
( ( ( ~ ( m1_subset_1 @ SV146 @ ( u1_struct_0 @ SV70 ) ) )
= $true )
| ( ( ~ ! [SY423: $i] :
( ~ ( m1_subset_1 @ SY423 @ ( u1_struct_0 @ SV70 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV70 @ SY423 @ SV146 )
!= SY423 )
| ( ( k1_group_1 @ SV70 @ SV146 @ SY423 )
!= SY423 ) )
| ~ ~ ! [SY424: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY424 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ SY423 @ SY424 )
!= SV146 ) )
| ( ( k1_group_1 @ SV70 @ SY424 @ SY423 )
!= SV146 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK15_SY372 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6981]) ).
thf(7059,plain,
! [SV70: $i] :
( ( ( ! [SY345: $i] :
( ~ ( m1_subset_1 @ SY345 @ ( u1_struct_0 @ SV70 ) )
| ~ ! [SY346: $i] :
( ~ ( m1_subset_1 @ SY346 @ ( u1_struct_0 @ SV70 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV70 @ SY346 @ SY345 )
!= SY346 )
| ( ( k1_group_1 @ SV70 @ SY345 @ SY346 )
!= SY346 ) )
| ~ ~ ! [SY347: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY347 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ SY346 @ SY347 )
!= SY345 ) )
| ( ( k1_group_1 @ SV70 @ SY347 @ SY346 )
!= SY345 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK20_SY376 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6982]) ).
thf(7060,plain,
! [SV70: $i,SV152: $i] :
( ( ( ~ ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV70 ) )
| ~ ! [SY433: $i] :
( ~ ( m1_subset_1 @ SY433 @ ( u1_struct_0 @ SV70 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV70 @ SY433 @ SV152 )
!= SY433 )
| ( ( k1_group_1 @ SV70 @ SV152 @ SY433 )
!= SY433 ) )
| ~ ~ ! [SY434: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY434 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ SY433 @ SY434 )
!= SV152 ) )
| ( ( k1_group_1 @ SV70 @ SY434 @ SY433 )
!= SV152 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( sK15_SY372 @ SV70 ) ) @ ( sK20_SY376 @ SV70 ) )
= ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( k1_group_1 @ SV70 @ ( sK15_SY372 @ SV70 ) @ ( sK20_SY376 @ SV70 ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6983]) ).
thf(7061,plain,
! [SV71: $i,SV147: $i] :
( ( ( ~ ( m1_subset_1 @ SV147 @ ( u1_struct_0 @ SV71 ) ) )
= $true )
| ( ( ! [SY425: $i] :
( ~ ( m1_subset_1 @ SY425 @ ( u1_struct_0 @ SV71 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV147 @ SY425 ) @ ( k3_group_1 @ SV71 @ SY425 ) )
!= SV147 )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV147 @ ( k3_group_1 @ SV71 @ SY425 ) ) @ SY425 )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY425 ) @ SY425 ) @ SV147 )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SY425 @ ( k3_group_1 @ SV71 @ SY425 ) ) @ SV147 )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ SV147 @ ( k1_group_1 @ SV71 @ SY425 @ ( k3_group_1 @ SV71 @ SY425 ) ) )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ SV147 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY425 ) @ SY425 ) )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY425 ) @ ( k1_group_1 @ SV71 @ SY425 @ SV147 ) )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ SY425 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY425 ) @ SV147 ) )
!= SV147 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV71 )
= $false )
| ( ( v3_struct_0 @ SV71 )
= $true )
| ( ( v3_group_1 @ SV71 )
= $false )
| ( ( l1_group_1 @ SV71 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6984]) ).
thf(7062,plain,
! [SV91: $i,SV72: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV72 )
| ~ ( v1_group_1 @ SV72 ) )
| ~ ( v3_group_1 @ SV72 ) )
| ~ ( v4_group_1 @ SV72 ) )
| ~ ( l1_group_1 @ SV72 ) ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV91 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV91 ) )
= $true )
| ( ( r2_group_6 @ SV72 @ SV72 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6985]) ).
thf(7063,plain,
! [SV73: $i,SV148: $i] :
( ( ( ~ ( m1_subset_1 @ SV148 @ ( u1_struct_0 @ SV73 ) ) )
= $true )
| ( ( ~ ( ( ( k2_group_3 @ SV73 @ SV148 @ ( k3_group_1 @ SV73 @ SV148 ) )
!= SV148 )
| ( ( k2_group_3 @ SV73 @ ( k3_group_1 @ SV73 @ SV148 ) @ SV148 )
!= ( k3_group_1 @ SV73 @ SV148 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV73 )
= $false )
| ( ( v3_struct_0 @ SV73 )
= $true )
| ( ( v3_group_1 @ SV73 )
= $false )
| ( ( l1_group_1 @ SV73 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6986]) ).
thf(7064,plain,
! [SV74: $i,SV149: $i] :
( ( ( ~ ( m1_subset_1 @ SV149 @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ! [SY426: $i] :
( ~ ( m1_subset_1 @ SY426 @ ( u1_struct_0 @ SV74 ) )
| ! [SY427: $i] :
( ~ ( m1_subset_1 @ SY427 @ ( u1_struct_0 @ SV74 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV74 @ SV149 @ SY426 )
!= SY427 )
| ( SY426
= ( k1_group_1 @ SV74 @ ( k3_group_1 @ SV74 @ SV149 ) @ SY427 ) ) )
| ~ ( ( SY426
!= ( k1_group_1 @ SV74 @ ( k3_group_1 @ SV74 @ SV149 ) @ SY427 ) )
| ( ( k1_group_1 @ SV74 @ SV149 @ SY426 )
= SY427 ) ) ) ) ) )
= $true )
| ( ( v4_group_1 @ SV74 )
= $false )
| ( ( v3_struct_0 @ SV74 )
= $true )
| ( ( v3_group_1 @ SV74 )
= $false )
| ( ( l1_group_1 @ SV74 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6987]) ).
thf(7065,plain,
! [SV75: $i,SV150: $i] :
( ( ( ~ ( m1_subset_1 @ SV150 @ ( u1_struct_0 @ SV75 ) ) )
= $true )
| ( ( ( ( k3_group_1 @ SV75 @ SV150 )
!= ( k2_group_1 @ SV75 ) )
| ( SV150
= ( k2_group_1 @ SV75 ) ) )
= $true )
| ( ( v4_group_1 @ SV75 )
= $false )
| ( ( v3_struct_0 @ SV75 )
= $true )
| ( ( v3_group_1 @ SV75 )
= $false )
| ( ( l1_group_1 @ SV75 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6988]) ).
thf(7066,plain,
! [SV77: $i,SV151: $i] :
( ( ( ~ ( m1_subset_1 @ SV151 @ ( u1_struct_0 @ SV77 ) ) )
= $true )
| ( ( ! [SY428: $i] :
( ~ ( m1_subset_1 @ SY428 @ ( u1_struct_0 @ SV77 ) )
| ~ ! [SY429: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY429 @ ( u1_struct_0 @ SV77 ) )
| ( ( k1_group_1 @ SV77 @ SY429 @ SV151 )
!= SY428 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV77 )
= $false )
| ( ( v3_struct_0 @ SV77 )
= $true )
| ( ( v3_group_1 @ SV77 )
= $false )
| ( ( l1_group_1 @ SV77 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6990]) ).
thf(7067,plain,
! [SV2: $i] :
( ( ( v4_group_1 @ SV2 )
= $false )
| ( ( v1_group_1 @ SV2 )
= $false )
| ( ( v3_struct_0 @ SV2 )
= $true )
| ( ( v3_group_1 @ SV2 )
= $false )
| ( ( ~ ( l1_group_1 @ SV2 ) )
= $true )
| ( ( ! [SY222: $i] :
( ~ ( m1_subset_1 @ SY222 @ ( u1_struct_0 @ SV2 ) )
| ! [SY223: $i] :
( ~ ( m1_subset_1 @ SY223 @ ( u1_struct_0 @ SV2 ) )
| ( ( k6_autgroup @ SV2 @ ( k1_group_1 @ SV2 @ SY222 @ SY223 ) )
= ( k7_funct_2 @ ( u1_struct_0 @ SV2 ) @ ( u1_struct_0 @ SV2 ) @ ( u1_struct_0 @ SV2 ) @ ( k6_autgroup @ SV2 @ SY222 ) @ ( k6_autgroup @ SV2 @ SY223 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6991]) ).
thf(7068,plain,
! [SV3: $i,SV109: $i] :
( ( ( m1_subset_1 @ SV109 @ ( u1_struct_0 @ SV3 ) )
= $false )
| ( ( ! [SY391: $i] :
( ~ ( m1_subset_1 @ SY391 @ ( u1_struct_0 @ SV3 ) )
| ~ ( ( ( k1_group_1 @ SV3 @ SV109 @ SY391 )
= SV109 )
| ( ( k1_group_1 @ SV3 @ SY391 @ SV109 )
= SV109 ) )
| ( SY391
= ( k2_group_1 @ SV3 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV3 )
= $false )
| ( ( v3_struct_0 @ SV3 )
= $true )
| ( ( v3_group_1 @ SV3 )
= $false )
| ( ( l1_group_1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6992]) ).
thf(7069,plain,
! [SV4: $i,SV110: $i] :
( ( ( m1_group_2 @ SV110 @ SV4 )
= $false )
| ( ( ! [SY392: $i] :
( ~ ( m1_group_2 @ SY392 @ SV4 )
| ( ( k2_group_1 @ SV110 )
= ( k2_group_1 @ SY392 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV4 )
= $false )
| ( ( v3_struct_0 @ SV4 )
= $true )
| ( ( v3_group_1 @ SV4 )
= $false )
| ( ( l1_group_1 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6993]) ).
thf(7070,plain,
! [SV5: $i,SV111: $i] :
( ( ( m1_subset_1 @ SV111 @ ( u1_struct_0 @ SV5 ) )
= $false )
| ( ( ! [SY393: $i] :
( ~ ( m1_subset_1 @ SY393 @ ( u1_struct_0 @ SV5 ) )
| ~ ( ( ( k2_group_3 @ SV5 @ ( k2_group_3 @ SV5 @ SV111 @ SY393 ) @ ( k3_group_1 @ SV5 @ SY393 ) )
!= SV111 )
| ( ( k2_group_3 @ SV5 @ ( k2_group_3 @ SV5 @ SV111 @ ( k3_group_1 @ SV5 @ SY393 ) ) @ SY393 )
!= SV111 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV5 )
= $false )
| ( ( v3_struct_0 @ SV5 )
= $true )
| ( ( v3_group_1 @ SV5 )
= $false )
| ( ( l1_group_1 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6994]) ).
thf(7071,plain,
! [SV6: $i,SV112: $i] :
( ( ( m1_subset_1 @ SV112 @ ( u1_struct_0 @ SV6 ) )
= $false )
| ( ( ( k2_group_3 @ SV6 @ ( k2_group_1 @ SV6 ) @ SV112 )
= ( k2_group_1 @ SV6 ) )
= $true )
| ( ( v4_group_1 @ SV6 )
= $false )
| ( ( v3_struct_0 @ SV6 )
= $true )
| ( ( v3_group_1 @ SV6 )
= $false )
| ( ( l1_group_1 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6995]) ).
thf(7072,plain,
! [SV7: $i,SV113: $i] :
( ( ( m1_subset_1 @ SV113 @ ( u1_struct_0 @ SV7 ) )
= $false )
| ( ( ~ ( ( r2_group_3 @ SV7 @ SV113 @ ( k2_group_1 @ SV7 ) )
| ( r2_group_3 @ SV7 @ ( k2_group_1 @ SV7 ) @ SV113 ) )
| ( SV113
= ( k2_group_1 @ SV7 ) ) )
= $true )
| ( ( v4_group_1 @ SV7 )
= $false )
| ( ( v3_struct_0 @ SV7 )
= $true )
| ( ( v3_group_1 @ SV7 )
= $false )
| ( ( l1_group_1 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6996]) ).
thf(7073,plain,
! [SV8: $i,SV114: $i] :
( ( ( m1_subset_1 @ SV114 @ ( u1_struct_0 @ SV8 ) )
= $false )
| ( ( ! [SY394: $i] :
( ~ ( m1_subset_1 @ SY394 @ ( u1_struct_0 @ SV8 ) )
| ! [SY395: $i] :
( ~ ( m1_subset_1 @ SY395 @ ( u1_struct_0 @ SV8 ) )
| ~ ( ( ( k1_group_1 @ SV8 @ SV114 @ SY394 )
= ( k1_group_1 @ SV8 @ SV114 @ SY395 ) )
| ( ( k1_group_1 @ SV8 @ SY394 @ SV114 )
= ( k1_group_1 @ SV8 @ SY395 @ SV114 ) ) )
| ( SY394 = SY395 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6997]) ).
thf(7074,plain,
! [SV10: $i,SV115: $i] :
( ( ( m1_subset_1 @ SV115 @ ( u1_struct_0 @ SV10 ) )
= $false )
| ( ( ! [SY396: $i] :
( ~ ( m1_subset_1 @ SY396 @ ( u1_struct_0 @ SV10 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV10 @ SV115 @ SY396 )
!= ( k1_group_1 @ SV10 @ SY396 @ SV115 ) )
| ( ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SV115 ) @ ( k3_group_1 @ SV10 @ SY396 ) )
= ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY396 ) @ ( k3_group_1 @ SV10 @ SV115 ) ) ) )
| ~ ( ( ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SV115 ) @ ( k3_group_1 @ SV10 @ SY396 ) )
!= ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SY396 ) @ ( k3_group_1 @ SV10 @ SV115 ) ) )
| ( ( k1_group_1 @ SV10 @ SV115 @ SY396 )
= ( k1_group_1 @ SV10 @ SY396 @ SV115 ) ) ) ) ) )
= $true )
| ( ( v4_group_1 @ SV10 )
= $false )
| ( ( v3_struct_0 @ SV10 )
= $true )
| ( ( v3_group_1 @ SV10 )
= $false )
| ( ( l1_group_1 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6998]) ).
thf(7075,plain,
! [SV11: $i] :
( ( ( v4_group_1 @ SV11 )
= $false )
| ( ( v1_group_1 @ SV11 )
= $false )
| ( ( v3_struct_0 @ SV11 )
= $true )
| ( ( v3_group_1 @ SV11 )
= $false )
| ( ( ~ ( l1_group_1 @ SV11 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k3_autgroup @ SV11 ) )
| ~ ( v1_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( v3_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( v4_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( l1_group_1 @ ( k3_autgroup @ SV11 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6999]) ).
thf(7076,plain,
! [SV13: $i,SV116: $i] :
( ( ( m1_subset_1 @ SV116 @ ( u1_struct_0 @ SV13 ) )
= $false )
| ( ( ! [SY397: $i] :
( ~ ( m1_subset_1 @ SY397 @ ( u1_struct_0 @ SV13 ) )
| ~ ( ~ ~ ( ( ( k3_group_5 @ SV13 @ SV116 @ SY397 @ ( k2_group_1 @ SV13 ) )
!= ( k2_group_1 @ SV13 ) )
| ( ( k3_group_5 @ SV13 @ SV116 @ ( k2_group_1 @ SV13 ) @ SY397 )
!= ( k2_group_1 @ SV13 ) ) )
| ( ( k3_group_5 @ SV13 @ ( k2_group_1 @ SV13 ) @ SV116 @ SY397 )
!= ( k2_group_1 @ SV13 ) ) ) ) )
= $true )
| ( ( v4_group_1 @ SV13 )
= $false )
| ( ( v3_struct_0 @ SV13 )
= $true )
| ( ( v3_group_1 @ SV13 )
= $false )
| ( ( l1_group_1 @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7001]) ).
thf(7077,plain,
! [SV15: $i,SV117: $i] :
( ( ( m1_subset_1 @ SV117 @ ( u1_struct_0 @ SV15 ) )
= $false )
| ( ( ! [SY398: $i] :
( ~ ( m1_subset_1 @ SY398 @ ( u1_struct_0 @ SV15 ) )
| ( ( k2_group_3 @ SV15 @ ( k3_group_1 @ SV15 @ SV117 ) @ SY398 )
= ( k3_group_1 @ SV15 @ ( k2_group_3 @ SV15 @ SV117 @ SY398 ) ) ) ) )
= $true )
| ( ( v4_group_1 @ SV15 )
= $false )
| ( ( v3_struct_0 @ SV15 )
= $true )
| ( ( v3_group_1 @ SV15 )
= $false )
| ( ( l1_group_1 @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7002]) ).
thf(7078,plain,
! [SV16: $i] :
( ( ( m1_subset_1 @ ( sK19_SY243 @ SV16 ) @ ( u1_struct_0 @ SV16 ) )
= $true )
| ( ( v3_group_1 @ SV16 )
= $false )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7003]) ).
thf(7079,plain,
! [SV16: $i] :
( ( ( ! [SY383: $i] :
( ~ ( m1_subset_1 @ SY383 @ ( u1_struct_0 @ SV16 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV16 @ SY383 @ ( sK19_SY243 @ SV16 ) )
!= SY383 )
| ( ( k1_group_1 @ SV16 @ ( sK19_SY243 @ SV16 ) @ SY383 )
!= SY383 ) )
| ~ ~ ! [SY384: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY384 @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ SY383 @ SY384 )
!= ( sK19_SY243 @ SV16 ) ) )
| ( ( k1_group_1 @ SV16 @ SY384 @ SY383 )
!= ( sK19_SY243 @ SV16 ) ) ) ) ) )
= $true )
| ( ( v3_group_1 @ SV16 )
= $false )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7004]) ).
thf(7080,plain,
! [SV16: $i,SV106: $i] :
( ( ( m1_subset_1 @ SV106 @ ( u1_struct_0 @ SV16 ) )
= $false )
| ( ( ~ ! [SY385: $i] :
( ~ ( m1_subset_1 @ SY385 @ ( u1_struct_0 @ SV16 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV16 @ SY385 @ SV106 )
!= SY385 )
| ( ( k1_group_1 @ SV16 @ SV106 @ SY385 )
!= SY385 ) )
| ~ ~ ! [SY386: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY386 @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ SY385 @ SY386 )
!= SV106 ) )
| ( ( k1_group_1 @ SV16 @ SY386 @ SY385 )
!= SV106 ) ) ) ) )
= $true )
| ( ( v3_group_1 @ SV16 )
= $true )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7005]) ).
thf(7081,plain,
! [SV17: $i,SV118: $i] :
( ( ( m1_subset_1 @ SV118 @ ( u1_struct_0 @ SV17 ) )
= $false )
| ( ( ! [SY399: $i] :
( ~ ( m1_subset_1 @ SY399 @ ( u1_struct_0 @ SV17 ) )
| ( ( k2_group_3 @ SV17 @ SV118 @ SY399 )
!= ( k2_group_1 @ SV17 ) )
| ( SV118
= ( k2_group_1 @ SV17 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV17 )
= $false )
| ( ( v3_struct_0 @ SV17 )
= $true )
| ( ( v3_group_1 @ SV17 )
= $false )
| ( ( l1_group_1 @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7006]) ).
thf(7082,plain,
! [SV18: $i,SV119: $i] :
( ( ( m1_subset_1 @ SV119 @ ( u1_struct_0 @ SV18 ) )
= $false )
| ( ( r1_group_3 @ SV18 @ SV119 @ SV119 )
= $true )
| ( ( v4_group_1 @ SV18 )
= $false )
| ( ( v3_struct_0 @ SV18 )
= $true )
| ( ( v3_group_1 @ SV18 )
= $false )
| ( ( l1_group_1 @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7007]) ).
thf(7083,plain,
! [SV92: $i,SV79: $i,SV19: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV19 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV19 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV19 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV19 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV79 @ ( u1_struct_0 @ SV19 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV92 @ ( u1_struct_0 @ SV19 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k2_group_3 @ SV19 @ SV79 @ SV92 ) @ ( u1_struct_0 @ SV19 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7008]) ).
thf(7084,plain,
! [SV21: $i,SV120: $i] :
( ( ( m1_subset_1 @ SV120 @ ( u1_struct_0 @ SV21 ) )
= $false )
| ( ( ! [SY400: $i] :
( ~ ( m1_subset_1 @ SY400 @ ( u1_struct_0 @ SV21 ) )
| ! [SY401: $i] :
( ~ ( m1_subset_1 @ SY401 @ ( u1_struct_0 @ SV21 ) )
| ~ ~ ( ~ ( r2_group_3 @ SV21 @ SV120 @ SY400 )
| ~ ( r2_group_3 @ SV21 @ SY400 @ SY401 ) )
| ( r2_group_3 @ SV21 @ SV120 @ SY401 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV21 )
= $false )
| ( ( v3_struct_0 @ SV21 )
= $true )
| ( ( v3_group_1 @ SV21 )
= $false )
| ( ( l1_group_1 @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7009]) ).
thf(7085,plain,
! [SV22: $i] :
( ( ( v4_group_1 @ SV22 )
= $false )
| ( ( v1_group_1 @ SV22 )
= $false )
| ( ( v3_struct_0 @ SV22 )
= $true )
| ( ( v3_group_1 @ SV22 )
= $false )
| ( ( ~ ( l1_group_1 @ SV22 ) )
= $true )
| ( ( ! [SY257: $i] :
( ~ ~ ( ~ ( v1_group_1 @ SY257 )
| ~ ( m1_group_2 @ SY257 @ SV22 ) )
| ( ( u1_struct_0 @ SY257 )
!= ( u1_struct_0 @ SV22 ) )
| ( SY257 = SV22 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7010]) ).
thf(7086,plain,
! [SV23: $i,SV121: $i] :
( ( ( m1_subset_1 @ SV121 @ ( u1_struct_0 @ SV23 ) )
= $false )
| ( ( ! [SY402: $i] :
( ~ ( m1_subset_1 @ SY402 @ ( u1_struct_0 @ SV23 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV23 @ SV121 @ SY402 )
!= ( k1_group_1 @ SV23 @ SY402 @ SV121 ) )
| ( ( k3_group_1 @ SV23 @ ( k1_group_1 @ SV23 @ SV121 @ SY402 ) )
= ( k1_group_1 @ SV23 @ ( k3_group_1 @ SV23 @ SV121 ) @ ( k3_group_1 @ SV23 @ SY402 ) ) ) )
| ~ ( ( ( k3_group_1 @ SV23 @ ( k1_group_1 @ SV23 @ SV121 @ SY402 ) )
!= ( k1_group_1 @ SV23 @ ( k3_group_1 @ SV23 @ SV121 ) @ ( k3_group_1 @ SV23 @ SY402 ) ) )
| ( ( k1_group_1 @ SV23 @ SV121 @ SY402 )
= ( k1_group_1 @ SV23 @ SY402 @ SV121 ) ) ) ) ) )
= $true )
| ( ( v4_group_1 @ SV23 )
= $false )
| ( ( v3_struct_0 @ SV23 )
= $true )
| ( ( v3_group_1 @ SV23 )
= $false )
| ( ( l1_group_1 @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7011]) ).
thf(7087,plain,
! [SV24: $i,SV122: $i] :
( ( ( m1_subset_1 @ SV122 @ ( u1_struct_0 @ SV24 ) )
= $false )
| ( ( ~ ( ( ( k2_group_5 @ SV24 @ ( k2_group_1 @ SV24 ) @ SV122 )
!= ( k2_group_1 @ SV24 ) )
| ( ( k2_group_5 @ SV24 @ SV122 @ ( k2_group_1 @ SV24 ) )
!= ( k2_group_1 @ SV24 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV24 )
= $false )
| ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( v3_group_1 @ SV24 )
= $false )
| ( ( l1_group_1 @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7012]) ).
thf(7088,plain,
! [SV26: $i,SV123: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV123 )
| ~ ( v3_group_1 @ SV123 ) )
| ~ ( v4_group_1 @ SV123 ) )
| ~ ( l1_group_1 @ SV123 ) ) )
= $false )
| ( ( ! [SY403: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY403 )
| ~ ( v3_group_1 @ SY403 ) )
| ~ ( v4_group_1 @ SY403 ) )
| ~ ( l1_group_1 @ SY403 ) )
| ~ ~ ( ~ ( m1_group_2 @ SV26 @ SV123 )
| ~ ( m1_group_2 @ SV123 @ SY403 ) )
| ( m1_group_2 @ SV26 @ SY403 ) ) )
= $true )
| ( ( v4_group_1 @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( v3_group_1 @ SV26 )
= $false )
| ( ( l1_group_1 @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7013]) ).
thf(7089,plain,
! [SV28: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK23_SY268 @ SV28 ) @ ( u1_struct_0 @ SV28 ) ) )
= $false )
| ( ( m1_subset_1 @ ( sK16_SY265 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7014]) ).
thf(7090,plain,
! [SV28: $i] :
( ( ( ! [SY430: $i] :
( ~ ( m1_subset_1 @ SY430 @ ( u1_struct_0 @ SV28 ) )
| ~ ( ~ ~ ! [SY431: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY431 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ ( sK23_SY268 @ SV28 ) @ SY431 )
!= SY430 ) )
| ~ ~ ! [SY432: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY432 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY432 @ ( sK23_SY268 @ SV28 ) )
!= SY430 ) ) ) ) )
= $false )
| ( ( m1_subset_1 @ ( sK16_SY265 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7014]) ).
thf(7091,plain,
! [SV28: $i] :
( ( ( ! [SY268: $i] :
( ~ ( m1_subset_1 @ SY268 @ ( u1_struct_0 @ SV28 ) )
| ! [SY269: $i] :
( ~ ( m1_subset_1 @ SY269 @ ( u1_struct_0 @ SV28 ) )
| ~ ( ~ ~ ! [SY270: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY270 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY268 @ SY270 )
!= SY269 ) )
| ~ ~ ! [SY271: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY271 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY271 @ SY268 )
!= SY269 ) ) ) ) ) )
= $false )
| ( ( m1_subset_1 @ ( sK21_SY377 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7015]) ).
thf(7092,plain,
! [SV28: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK24_SY389 @ SV28 ) @ ( u1_struct_0 @ SV28 ) ) )
= $false )
| ( ( ~ ! [SY268: $i] :
( ~ ( m1_subset_1 @ SY268 @ ( u1_struct_0 @ SV28 ) )
| ! [SY269: $i] :
( ~ ( m1_subset_1 @ SY269 @ ( u1_struct_0 @ SV28 ) )
| ~ ( ~ ~ ! [SY270: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY270 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY268 @ SY270 )
!= SY269 ) )
| ~ ~ ! [SY271: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY271 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY271 @ SY268 )
!= SY269 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7016]) ).
thf(7093,plain,
! [SV28: $i] :
( ( ( ( k1_group_1 @ SV28 @ ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( sK21_SY377 @ SV28 ) ) @ ( sK24_SY389 @ SV28 ) )
= ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( k1_group_1 @ SV28 @ ( sK21_SY377 @ SV28 ) @ ( sK24_SY389 @ SV28 ) ) ) )
= $false )
| ( ( ~ ! [SY268: $i] :
( ~ ( m1_subset_1 @ SY268 @ ( u1_struct_0 @ SV28 ) )
| ! [SY269: $i] :
( ~ ( m1_subset_1 @ SY269 @ ( u1_struct_0 @ SV28 ) )
| ~ ( ~ ~ ! [SY270: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY270 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY268 @ SY270 )
!= SY269 ) )
| ~ ~ ! [SY271: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY271 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY271 @ SY268 )
!= SY269 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7016]) ).
thf(7094,plain,
! [SV93: $i,SV81: $i,SV29: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV29 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV29 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV29 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV29 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV81 @ ( u1_struct_0 @ SV29 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV93 @ ( u1_struct_0 @ SV29 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k2_group_5 @ SV29 @ SV81 @ SV93 ) @ ( u1_struct_0 @ SV29 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7017]) ).
thf(7095,plain,
! [SV94: $i,SV82: $i,SV30: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV30 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV30 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV30 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV30 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV82 @ ( u1_struct_0 @ SV30 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV94 @ ( u1_struct_0 @ SV30 ) ) )
= $true )
| ( ( r2_group_3 @ SV30 @ SV82 @ SV82 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7018]) ).
thf(7096,plain,
! [SV31: $i,SV124: $i] :
( ( ( m1_subset_1 @ SV124 @ ( u1_struct_0 @ SV31 ) )
= $false )
| ( ( ! [SY404: $i] :
( ~ ( m1_subset_1 @ SY404 @ ( u1_struct_0 @ SV31 ) )
| ( ( k3_group_1 @ SV31 @ SV124 )
!= ( k3_group_1 @ SV31 @ SY404 ) )
| ( SV124 = SY404 ) ) )
= $true )
| ( ( v4_group_1 @ SV31 )
= $false )
| ( ( v3_struct_0 @ SV31 )
= $true )
| ( ( v3_group_1 @ SV31 )
= $false )
| ( ( l1_group_1 @ SV31 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7019]) ).
thf(7097,plain,
! [SV32: $i,SV125: $i] :
( ( ( m1_subset_1 @ SV125 @ ( u1_struct_0 @ SV32 ) )
= $false )
| ( ( ~ ( ( ( k2_group_5 @ SV32 @ SV125 @ ( k3_group_1 @ SV32 @ SV125 ) )
!= ( k2_group_1 @ SV32 ) )
| ( ( k2_group_5 @ SV32 @ ( k3_group_1 @ SV32 @ SV125 ) @ SV125 )
!= ( k2_group_1 @ SV32 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV32 )
= $false )
| ( ( v3_struct_0 @ SV32 )
= $true )
| ( ( v3_group_1 @ SV32 )
= $false )
| ( ( l1_group_1 @ SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7020]) ).
thf(7098,plain,
! [SV33: $i,SV126: $i] :
( ( ( m1_subset_1 @ SV126 @ ( u1_struct_0 @ SV33 ) )
= $false )
| ( ( ! [SY405: $i] :
( ~ ( m1_subset_1 @ SY405 @ ( u1_struct_0 @ SV33 ) )
| ! [SY406: $i] :
( ~ ( m1_subset_1 @ SY406 @ ( u1_struct_0 @ SV33 ) )
| ( ( k2_group_3 @ SV33 @ SV126 @ SY405 )
!= ( k2_group_3 @ SV33 @ SY406 @ SY405 ) )
| ( SV126 = SY406 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV33 )
= $false )
| ( ( v3_struct_0 @ SV33 )
= $true )
| ( ( v3_group_1 @ SV33 )
= $false )
| ( ( l1_group_1 @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7021]) ).
thf(7099,plain,
! [SV34: $i,SV127: $i] :
( ( ( m1_subset_1 @ SV127 @ ( u1_struct_0 @ SV34 ) )
= $false )
| ( ( ! [SY407: $i] :
( ~ ( m1_subset_1 @ SY407 @ ( u1_struct_0 @ SV34 ) )
| ~ ( ( ( k1_group_1 @ SV34 @ SV127 @ SY407 )
= ( k2_group_1 @ SV34 ) )
| ( ( k1_group_1 @ SV34 @ SY407 @ SV127 )
= ( k2_group_1 @ SV34 ) ) )
| ~ ( ( SV127
!= ( k3_group_1 @ SV34 @ SY407 ) )
| ( SY407
!= ( k3_group_1 @ SV34 @ SV127 ) ) ) ) )
= $true )
| ( ( v4_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7022]) ).
thf(7100,plain,
! [SV83: $i,SV35: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV35 )
| ~ ( v3_group_1 @ SV35 ) )
| ~ ( v4_group_1 @ SV35 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV35 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV83 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV83 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV83 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV83 ) )
= $true )
| ( ( r1_group_6 @ SV35 @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7023]) ).
thf(7101,plain,
! [SV36: $i,SV128: $i] :
( ( ( m1_subset_1 @ SV128 @ ( u1_struct_0 @ SV36 ) )
= $false )
| ( ( ! [SY408: $i] :
( ~ ( m1_subset_1 @ SY408 @ ( u1_struct_0 @ SV36 ) )
| ! [SY409: $i] :
( ~ ( m1_subset_1 @ SY409 @ ( u1_struct_0 @ SV36 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV36 @ SV128 @ SY408 )
!= SY409 )
| ( SV128
= ( k1_group_1 @ SV36 @ SY409 @ ( k3_group_1 @ SV36 @ SY408 ) ) ) )
| ~ ( ( SV128
!= ( k1_group_1 @ SV36 @ SY409 @ ( k3_group_1 @ SV36 @ SY408 ) ) )
| ( ( k1_group_1 @ SV36 @ SV128 @ SY408 )
= SY409 ) ) ) ) ) )
= $true )
| ( ( v4_group_1 @ SV36 )
= $false )
| ( ( v3_struct_0 @ SV36 )
= $true )
| ( ( v3_group_1 @ SV36 )
= $false )
| ( ( l1_group_1 @ SV36 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7024]) ).
thf(7102,plain,
! [SV37: $i,SV129: $i] :
( ( ( m1_group_2 @ SV129 @ SV37 )
= $false )
| ( ( v4_group_1 @ SV129 )
= $true )
| ( ( v4_group_1 @ SV37 )
= $false )
| ( ( v3_struct_0 @ SV37 )
= $true )
| ( ( v3_group_1 @ SV37 )
= $false )
| ( ( l1_group_1 @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7025]) ).
thf(7103,plain,
! [SV38: $i,SV103: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV103 )
| ~ ( v3_group_1 @ SV103 ) )
= $false )
| ( ( m1_group_2 @ SV103 @ SV38 )
= $false )
| ( ( v3_group_1 @ SV38 )
= $false )
| ( ( v3_struct_0 @ SV38 )
= $true )
| ( ( l1_group_1 @ SV38 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7026]) ).
thf(7104,plain,
! [SV41: $i,SV130: $i] :
( ( ( m1_subset_1 @ SV130 @ ( u1_struct_0 @ SV41 ) )
= $false )
| ( ( ! [SY410: $i] :
( ~ ( m1_subset_1 @ SY410 @ ( u1_struct_0 @ SV41 ) )
| ( ( k3_group_1 @ SV41 @ ( k2_group_5 @ SV41 @ SV130 @ SY410 ) )
= ( k2_group_5 @ SV41 @ SY410 @ SV130 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV41 )
= $false )
| ( ( v3_struct_0 @ SV41 )
= $true )
| ( ( v3_group_1 @ SV41 )
= $false )
| ( ( l1_group_1 @ SV41 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7028]) ).
thf(7105,plain,
! [SV42: $i,SV131: $i] :
( ( ( m1_subset_1 @ SV131 @ ( u1_struct_0 @ SV42 ) )
= $false )
| ( ( ! [SY411: $i] :
( ~ ( m1_subset_1 @ SY411 @ ( u1_struct_0 @ SV42 ) )
| ( ( k3_group_5 @ SV42 @ SV131 @ SV131 @ SY411 )
= ( k2_group_1 @ SV42 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV42 )
= $false )
| ( ( v3_struct_0 @ SV42 )
= $true )
| ( ( v3_group_1 @ SV42 )
= $false )
| ( ( l1_group_1 @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7029]) ).
thf(7106,plain,
! [SV43: $i,SV104: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK25_SY375 @ SV104 @ SV43 ) @ ( u1_struct_0 @ SV43 ) ) )
= $false )
| ( ( SV104
= ( k2_group_1 @ SV43 ) )
= $true )
| ( ( m1_subset_1 @ SV104 @ ( u1_struct_0 @ SV43 ) )
= $false )
| ( ( v3_group_1 @ SV43 )
= $false )
| ( ( v3_struct_0 @ SV43 )
= $true )
| ( ( l1_group_1 @ SV43 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7030]) ).
thf(7107,plain,
! [SV104: $i,SV43: $i] :
( ( ( ~ ( ( ( k1_group_1 @ SV43 @ ( sK25_SY375 @ SV104 @ SV43 ) @ SV104 )
!= ( sK25_SY375 @ SV104 @ SV43 ) )
| ( ( k1_group_1 @ SV43 @ SV104 @ ( sK25_SY375 @ SV104 @ SV43 ) )
!= ( sK25_SY375 @ SV104 @ SV43 ) ) ) )
= $false )
| ( ( SV104
= ( k2_group_1 @ SV43 ) )
= $true )
| ( ( m1_subset_1 @ SV104 @ ( u1_struct_0 @ SV43 ) )
= $false )
| ( ( v3_group_1 @ SV43 )
= $false )
| ( ( v3_struct_0 @ SV43 )
= $true )
| ( ( l1_group_1 @ SV43 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7030]) ).
thf(7108,plain,
( ( v3_struct_0 @ sK6_SX0 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[7032]) ).
thf(7109,plain,
! [SV105: $i,SV44: $i,SV132: $i] :
( ( ( m1_subset_1 @ SV132 @ ( u1_struct_0 @ SV44 ) )
= $false )
| ( ( ! [SY412: $i] :
( ~ ( m1_subset_1 @ SY412 @ ( u1_struct_0 @ SV44 ) )
| ( ( k1_group_1 @ SV44 @ ( k1_group_1 @ SV44 @ SV105 @ SV132 ) @ SY412 )
= ( k1_group_1 @ SV44 @ SV105 @ ( k1_group_1 @ SV44 @ SV132 @ SY412 ) ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV105 @ ( u1_struct_0 @ SV44 ) )
= $false )
| ( ( v4_group_1 @ SV44 )
= $false )
| ( ( v3_struct_0 @ SV44 )
= $true )
| ( ( l1_group_1 @ SV44 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7033]) ).
thf(7110,plain,
! [SV44: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK26_SY390 @ SV44 ) @ ( u1_struct_0 @ SV44 ) ) )
= $false )
| ( ( v4_group_1 @ SV44 )
= $true )
| ( ( v3_struct_0 @ SV44 )
= $true )
| ( ( l1_group_1 @ SV44 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7035]) ).
thf(7111,plain,
! [SV44: $i] :
( ( ( ( k1_group_1 @ SV44 @ ( k1_group_1 @ SV44 @ ( sK17_SY300 @ SV44 ) @ ( sK22_SY381 @ SV44 ) ) @ ( sK26_SY390 @ SV44 ) )
= ( k1_group_1 @ SV44 @ ( sK17_SY300 @ SV44 ) @ ( k1_group_1 @ SV44 @ ( sK22_SY381 @ SV44 ) @ ( sK26_SY390 @ SV44 ) ) ) )
= $false )
| ( ( v4_group_1 @ SV44 )
= $true )
| ( ( v3_struct_0 @ SV44 )
= $true )
| ( ( l1_group_1 @ SV44 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7035]) ).
thf(7112,plain,
! [SV45: $i,SV133: $i] :
( ( ( m1_subset_1 @ SV133 @ ( u1_struct_0 @ SV45 ) )
= $false )
| ( ( ! [SY413: $i] :
( ~ ( m1_subset_1 @ SY413 @ ( u1_struct_0 @ SV45 ) )
| ( ( k3_group_1 @ SV45 @ ( k1_group_1 @ SV45 @ SV133 @ SY413 ) )
= ( k1_group_1 @ SV45 @ ( k3_group_1 @ SV45 @ SY413 ) @ ( k3_group_1 @ SV45 @ SV133 ) ) ) ) )
= $true )
| ( ( v4_group_1 @ SV45 )
= $false )
| ( ( v3_struct_0 @ SV45 )
= $true )
| ( ( v3_group_1 @ SV45 )
= $false )
| ( ( l1_group_1 @ SV45 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7036]) ).
thf(7113,plain,
! [SV46: $i] :
( ( ( v4_group_1 @ SV46 )
= $false )
| ( ( v1_group_1 @ SV46 )
= $false )
| ( ( v3_struct_0 @ SV46 )
= $true )
| ( ( v3_group_1 @ SV46 )
= $false )
| ( ( ~ ( l1_group_1 @ SV46 ) )
= $true )
| ( ( ( k6_autgroup @ SV46 @ ( k2_group_1 @ SV46 ) )
= ( k6_partfun1 @ ( u1_struct_0 @ SV46 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7037]) ).
thf(7114,plain,
! [SV98: $i,SV95: $i,SV84: $i,SV47: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV47 )
| ~ ( v3_group_1 @ SV47 ) )
| ~ ( v4_group_1 @ SV47 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV47 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV84 @ ( u1_struct_0 @ SV47 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV95 @ ( u1_struct_0 @ SV47 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV98 @ ( u1_struct_0 @ SV47 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k3_group_5 @ SV47 @ SV84 @ SV95 @ SV98 ) @ ( u1_struct_0 @ SV47 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7038]) ).
thf(7115,plain,
! [SV48: $i,SV134: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV134 )
| ~ ( v3_group_1 @ SV134 ) )
| ~ ( v4_group_1 @ SV134 ) )
| ~ ( l1_group_1 @ SV134 ) ) )
= $false )
| ( ( ! [SY414: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY414 )
| ~ ( v3_group_1 @ SY414 ) )
| ~ ( v4_group_1 @ SY414 ) )
| ~ ( l1_group_1 @ SY414 ) )
| ~ ~ ( ~ ( r1_group_6 @ SV48 @ SV134 )
| ~ ( r1_group_6 @ SV134 @ SY414 ) )
| ( r1_group_6 @ SV48 @ SY414 ) ) )
= $true )
| ( ( v4_group_1 @ SV48 )
= $false )
| ( ( v3_struct_0 @ SV48 )
= $true )
| ( ( v3_group_1 @ SV48 )
= $false )
| ( ( l1_group_1 @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7039]) ).
thf(7116,plain,
! [SV85: $i,SV49: $i] :
( ( ( v4_group_1 @ SV49 )
= $false )
| ( ( v3_struct_0 @ SV49 )
= $true )
| ( ( v3_group_1 @ SV49 )
= $false )
| ( ( ~ ( l1_group_1 @ SV49 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV85 @ ( u1_struct_0 @ SV49 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k3_group_1 @ SV49 @ SV85 ) @ ( u1_struct_0 @ SV49 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7040]) ).
thf(7117,plain,
! [SV96: $i,SV86: $i,SV51: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV51 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV51 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV51 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV51 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV86 @ ( u1_struct_0 @ SV51 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV96 @ ( u1_struct_0 @ SV51 ) ) )
= $true )
| ( ( ~ ( r2_group_3 @ SV51 @ SV86 @ SV96 )
| ( r2_group_3 @ SV51 @ SV96 @ SV86 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7041]) ).
thf(7118,plain,
! [SV52: $i] :
( ( ( v4_group_1 @ SV52 )
= $false )
| ( ( v1_group_1 @ SV52 )
= $false )
| ( ( v3_struct_0 @ SV52 )
= $true )
| ( ( v3_group_1 @ SV52 )
= $false )
| ( ( ~ ( l1_group_1 @ SV52 ) )
= $true )
| ( ( ! [SY313: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY313 )
| ~ ( v1_group_1 @ SY313 ) )
| ~ ( v3_group_1 @ SY313 ) )
| ~ ( v4_group_1 @ SY313 ) )
| ~ ( l1_group_1 @ SY313 ) )
| ~ ( r1_group_6 @ SV52 @ SY313 )
| ( r1_group_6 @ SY313 @ SV52 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7042]) ).
thf(7119,plain,
! [SV53: $i,SV135: $i] :
( ( ( m1_group_2 @ SV135 @ SV53 )
= $false )
| ( ( ( k2_group_1 @ SV135 )
= ( k2_group_1 @ SV53 ) )
= $true )
| ( ( v4_group_1 @ SV53 )
= $false )
| ( ( v3_struct_0 @ SV53 )
= $true )
| ( ( v3_group_1 @ SV53 )
= $false )
| ( ( l1_group_1 @ SV53 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7043]) ).
thf(7120,plain,
! [SV54: $i,SV136: $i] :
( ( ( m1_subset_1 @ SV136 @ ( u1_struct_0 @ SV54 ) )
= $false )
| ( ( ! [SY415: $i] :
( ~ ( m1_subset_1 @ SY415 @ ( u1_struct_0 @ SV54 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV54 @ SV136 @ SY415 )
!= ( k1_group_1 @ SV54 @ SY415 @ SV136 ) )
| ( ( k1_group_1 @ SV54 @ SV136 @ ( k3_group_1 @ SV54 @ SY415 ) )
= ( k1_group_1 @ SV54 @ ( k3_group_1 @ SV54 @ SY415 ) @ SV136 ) ) )
| ~ ( ( ( k1_group_1 @ SV54 @ SV136 @ ( k3_group_1 @ SV54 @ SY415 ) )
!= ( k1_group_1 @ SV54 @ ( k3_group_1 @ SV54 @ SY415 ) @ SV136 ) )
| ( ( k1_group_1 @ SV54 @ SV136 @ SY415 )
= ( k1_group_1 @ SV54 @ SY415 @ SV136 ) ) ) ) ) )
= $true )
| ( ( v4_group_1 @ SV54 )
= $false )
| ( ( v3_struct_0 @ SV54 )
= $true )
| ( ( v3_group_1 @ SV54 )
= $false )
| ( ( l1_group_1 @ SV54 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7044]) ).
thf(7121,plain,
! [SV55: $i,SV137: $i] :
( ( ( m1_subset_1 @ SV137 @ ( u1_struct_0 @ SV55 ) )
= $false )
| ( ( ! [SY416: $i] :
( ~ ( m1_group_2 @ SY416 @ SV55 )
| ! [SY417: $i] :
( ~ ( m1_subset_1 @ SY417 @ ( u1_struct_0 @ SY416 ) )
| ( SY417 != SV137 )
| ( ( k3_group_1 @ SY416 @ SY417 )
= ( k3_group_1 @ SV55 @ SV137 ) ) ) ) )
= $true )
| ( ( v4_group_1 @ SV55 )
= $false )
| ( ( v3_struct_0 @ SV55 )
= $true )
| ( ( v3_group_1 @ SV55 )
= $false )
| ( ( l1_group_1 @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7045]) ).
thf(7122,plain,
! [SV56: $i,SV138: $i] :
( ( ( m1_subset_1 @ SV138 @ ( u1_struct_0 @ SV56 ) )
= $false )
| ( ( ! [SY418: $i] :
( ~ ( m1_subset_1 @ SY418 @ ( u1_struct_0 @ SV56 ) )
| ~ ~ ( ( ( k1_group_1 @ SV56 @ SV138 @ SY418 )
!= ( k2_group_1 @ SV56 ) )
| ( ( k1_group_1 @ SV56 @ SY418 @ SV138 )
!= ( k2_group_1 @ SV56 ) ) )
| ( SY418
= ( k3_group_1 @ SV56 @ SV138 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV56 )
= $false )
| ( ( v3_struct_0 @ SV56 )
= $true )
| ( ( v3_group_1 @ SV56 )
= $false )
| ( ( l1_group_1 @ SV56 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7046]) ).
thf(7123,plain,
! [SV57: $i,SV139: $i] :
( ( ( m1_subset_1 @ SV139 @ ( u1_struct_0 @ SV57 ) )
= $false )
| ( ( ( k2_group_3 @ SV57 @ SV139 @ SV139 )
= SV139 )
= $true )
| ( ( v4_group_1 @ SV57 )
= $false )
| ( ( v3_struct_0 @ SV57 )
= $true )
| ( ( v3_group_1 @ SV57 )
= $false )
| ( ( l1_group_1 @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7047]) ).
thf(7124,plain,
! [SV59: $i,SV140: $i] :
( ( ( m1_subset_1 @ SV140 @ ( u1_struct_0 @ SV59 ) )
= $false )
| ( ( ! [SY419: $i] :
( ~ ( m1_subset_1 @ SY419 @ ( u1_struct_0 @ SV59 ) )
| ~ ! [SY420: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY420 @ ( u1_struct_0 @ SV59 ) )
| ( ( k1_group_1 @ SV59 @ SV140 @ SY420 )
!= SY419 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV59 )
= $false )
| ( ( v3_struct_0 @ SV59 )
= $true )
| ( ( v3_group_1 @ SV59 )
= $false )
| ( ( l1_group_1 @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7048]) ).
thf(7125,plain,
! [SV60: $i,SV141: $i] :
( ( ( m1_subset_1 @ SV141 @ ( u1_struct_0 @ SV60 ) )
= $false )
| ( ( ! [SY421: $i] :
( ~ ( m1_subset_1 @ SY421 @ ( u1_struct_0 @ SV60 ) )
| ~ ( ~ ( ( SY421
!= ( k3_group_1 @ SV60 @ SV141 ) )
| ~ ( ( ( k1_group_1 @ SV60 @ SV141 @ SY421 )
!= ( k2_group_1 @ SV60 ) )
| ( ( k1_group_1 @ SV60 @ SY421 @ SV141 )
!= ( k2_group_1 @ SV60 ) ) ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV60 @ SV141 @ SY421 )
!= ( k2_group_1 @ SV60 ) )
| ( ( k1_group_1 @ SV60 @ SY421 @ SV141 )
!= ( k2_group_1 @ SV60 ) ) )
| ( SY421
= ( k3_group_1 @ SV60 @ SV141 ) ) ) ) ) )
= $true )
| ( ( v4_group_1 @ SV60 )
= $false )
| ( ( v3_struct_0 @ SV60 )
= $true )
| ( ( v3_group_1 @ SV60 )
= $false )
| ( ( l1_group_1 @ SV60 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7049]) ).
thf(7126,plain,
! [SV87: $i,SV61: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV61 )
| ~ ( v1_group_1 @ SV61 ) )
| ~ ( v3_group_1 @ SV61 ) )
| ~ ( v4_group_1 @ SV61 ) )
| ~ ( l1_group_1 @ SV61 ) ) )
= $false )
| ( ( ~ ~ ( v3_struct_0 @ SV87 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( r2_group_6 @ SV61 @ SV87 )
| ( r2_group_6 @ SV87 @ SV61 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7050]) ).
thf(7127,plain,
! [SV62: $i] :
( ( ( v4_group_1 @ SV62 )
= $false )
| ( ( v1_group_1 @ SV62 )
= $false )
| ( ( v3_struct_0 @ SV62 )
= $true )
| ( ( v3_group_1 @ SV62 )
= $false )
| ( ( ~ ( l1_group_1 @ SV62 ) )
= $true )
| ( ( ! [SY330: $i] :
( ~ ( m1_subset_1 @ SY330 @ ( u1_struct_0 @ SV62 ) )
| ( ( k8_funct_2 @ ( u1_struct_0 @ SV62 ) @ ( u1_struct_0 @ SV62 ) @ ( k6_autgroup @ SV62 @ ( k2_group_1 @ SV62 ) ) @ SY330 )
= SY330 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7051]) ).
thf(7128,plain,
! [SV64: $i,SV142: $i] :
( ( ( m1_subset_1 @ SV142 @ ( u1_struct_0 @ SV64 ) )
= $false )
| ( ( ( k2_group_5 @ SV64 @ SV142 @ SV142 )
= ( k2_group_1 @ SV64 ) )
= $true )
| ( ( v4_group_1 @ SV64 )
= $false )
| ( ( v3_struct_0 @ SV64 )
= $true )
| ( ( v3_group_1 @ SV64 )
= $false )
| ( ( l1_group_1 @ SV64 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7053]) ).
thf(7129,plain,
! [SV66: $i,SV143: $i] :
( ( ( m1_subset_1 @ SV143 @ ( u1_struct_0 @ SV66 ) )
= $false )
| ( ( ! [SY422: $i] :
( ~ ( m1_subset_1 @ SY422 @ ( u1_struct_0 @ SV66 ) )
| ~ ( r1_group_3 @ SV66 @ SV143 @ SY422 )
| ( r1_group_3 @ SV66 @ SY422 @ SV143 ) ) )
= $true )
| ( ( v4_group_1 @ SV66 )
= $false )
| ( ( v3_struct_0 @ SV66 )
= $true )
| ( ( v3_group_1 @ SV66 )
= $false )
| ( ( l1_group_1 @ SV66 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7054]) ).
thf(7130,plain,
! [SV67: $i,SV144: $i] :
( ( ( m1_subset_1 @ SV144 @ ( u1_struct_0 @ SV67 ) )
= $false )
| ( ( ( k3_group_1 @ SV67 @ ( k3_group_1 @ SV67 @ SV144 ) )
= SV144 )
= $true )
| ( ( v4_group_1 @ SV67 )
= $false )
| ( ( v3_struct_0 @ SV67 )
= $true )
| ( ( v3_group_1 @ SV67 )
= $false )
| ( ( l1_group_1 @ SV67 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7055]) ).
thf(7131,plain,
! [SV68: $i,SV145: $i] :
( ( ( m1_subset_1 @ SV145 @ ( u1_struct_0 @ SV68 ) )
= $false )
| ( ( ( k2_group_3 @ SV68 @ SV145 @ ( k2_group_1 @ SV68 ) )
= SV145 )
= $true )
| ( ( v4_group_1 @ SV68 )
= $false )
| ( ( v3_struct_0 @ SV68 )
= $true )
| ( ( v3_group_1 @ SV68 )
= $false )
| ( ( l1_group_1 @ SV68 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7056]) ).
thf(7132,plain,
! [SV70: $i,SV107: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK27_SY387 @ SV107 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SV107 )
!= ( sK27_SY387 @ SV107 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ SV107 @ ( sK27_SY387 @ SV107 @ SV70 ) )
!= ( sK27_SY387 @ SV107 @ SV70 ) ) )
| ~ ~ ! [SY435: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY435 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SY435 )
!= SV107 ) )
| ( ( k1_group_1 @ SV70 @ SY435 @ ( sK27_SY387 @ SV107 @ SV70 ) )
!= SV107 ) ) ) )
= $false )
| ( ( m1_subset_1 @ SV107 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK14_SY342 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[7057]) ).
thf(7133,plain,
! [SV70: $i,SV146: $i] :
( ( ( m1_subset_1 @ SV146 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ! [SY423: $i] :
( ~ ( m1_subset_1 @ SY423 @ ( u1_struct_0 @ SV70 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV70 @ SY423 @ SV146 )
!= SY423 )
| ( ( k1_group_1 @ SV70 @ SV146 @ SY423 )
!= SY423 ) )
| ~ ~ ! [SY424: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY424 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ SY423 @ SY424 )
!= SV146 ) )
| ( ( k1_group_1 @ SV70 @ SY424 @ SY423 )
!= SV146 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK15_SY372 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7058]) ).
thf(7134,plain,
! [SV70: $i,SV153: $i] :
( ( ( ~ ( m1_subset_1 @ SV153 @ ( u1_struct_0 @ SV70 ) )
| ~ ! [SY436: $i] :
( ~ ( m1_subset_1 @ SY436 @ ( u1_struct_0 @ SV70 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV70 @ SY436 @ SV153 )
!= SY436 )
| ( ( k1_group_1 @ SV70 @ SV153 @ SY436 )
!= SY436 ) )
| ~ ~ ! [SY437: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY437 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ SY436 @ SY437 )
!= SV153 ) )
| ( ( k1_group_1 @ SV70 @ SY437 @ SY436 )
!= SV153 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK20_SY376 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7059]) ).
thf(7135,plain,
! [SV70: $i,SV152: $i] :
( ( ( ~ ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV70 ) ) )
= $true )
| ( ( ~ ! [SY433: $i] :
( ~ ( m1_subset_1 @ SY433 @ ( u1_struct_0 @ SV70 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV70 @ SY433 @ SV152 )
!= SY433 )
| ( ( k1_group_1 @ SV70 @ SV152 @ SY433 )
!= SY433 ) )
| ~ ~ ! [SY434: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY434 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ SY433 @ SY434 )
!= SV152 ) )
| ( ( k1_group_1 @ SV70 @ SY434 @ SY433 )
!= SV152 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( sK15_SY372 @ SV70 ) ) @ ( sK20_SY376 @ SV70 ) )
= ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( k1_group_1 @ SV70 @ ( sK15_SY372 @ SV70 ) @ ( sK20_SY376 @ SV70 ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7060]) ).
thf(7136,plain,
! [SV71: $i,SV147: $i] :
( ( ( m1_subset_1 @ SV147 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( ! [SY425: $i] :
( ~ ( m1_subset_1 @ SY425 @ ( u1_struct_0 @ SV71 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV147 @ SY425 ) @ ( k3_group_1 @ SV71 @ SY425 ) )
!= SV147 )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV147 @ ( k3_group_1 @ SV71 @ SY425 ) ) @ SY425 )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY425 ) @ SY425 ) @ SV147 )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SY425 @ ( k3_group_1 @ SV71 @ SY425 ) ) @ SV147 )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ SV147 @ ( k1_group_1 @ SV71 @ SY425 @ ( k3_group_1 @ SV71 @ SY425 ) ) )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ SV147 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY425 ) @ SY425 ) )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY425 ) @ ( k1_group_1 @ SV71 @ SY425 @ SV147 ) )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ SY425 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SY425 ) @ SV147 ) )
!= SV147 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV71 )
= $false )
| ( ( v3_struct_0 @ SV71 )
= $true )
| ( ( v3_group_1 @ SV71 )
= $false )
| ( ( l1_group_1 @ SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7061]) ).
thf(7137,plain,
! [SV91: $i,SV72: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV72 )
| ~ ( v1_group_1 @ SV72 ) )
| ~ ( v3_group_1 @ SV72 ) )
| ~ ( v4_group_1 @ SV72 ) )
| ~ ( l1_group_1 @ SV72 ) ) )
= $false )
| ( ( ~ ~ ( v3_struct_0 @ SV91 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV91 ) )
= $true )
| ( ( r2_group_6 @ SV72 @ SV72 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7062]) ).
thf(7138,plain,
! [SV73: $i,SV148: $i] :
( ( ( m1_subset_1 @ SV148 @ ( u1_struct_0 @ SV73 ) )
= $false )
| ( ( ~ ( ( ( k2_group_3 @ SV73 @ SV148 @ ( k3_group_1 @ SV73 @ SV148 ) )
!= SV148 )
| ( ( k2_group_3 @ SV73 @ ( k3_group_1 @ SV73 @ SV148 ) @ SV148 )
!= ( k3_group_1 @ SV73 @ SV148 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV73 )
= $false )
| ( ( v3_struct_0 @ SV73 )
= $true )
| ( ( v3_group_1 @ SV73 )
= $false )
| ( ( l1_group_1 @ SV73 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7063]) ).
thf(7139,plain,
! [SV74: $i,SV149: $i] :
( ( ( m1_subset_1 @ SV149 @ ( u1_struct_0 @ SV74 ) )
= $false )
| ( ( ! [SY426: $i] :
( ~ ( m1_subset_1 @ SY426 @ ( u1_struct_0 @ SV74 ) )
| ! [SY427: $i] :
( ~ ( m1_subset_1 @ SY427 @ ( u1_struct_0 @ SV74 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV74 @ SV149 @ SY426 )
!= SY427 )
| ( SY426
= ( k1_group_1 @ SV74 @ ( k3_group_1 @ SV74 @ SV149 ) @ SY427 ) ) )
| ~ ( ( SY426
!= ( k1_group_1 @ SV74 @ ( k3_group_1 @ SV74 @ SV149 ) @ SY427 ) )
| ( ( k1_group_1 @ SV74 @ SV149 @ SY426 )
= SY427 ) ) ) ) ) )
= $true )
| ( ( v4_group_1 @ SV74 )
= $false )
| ( ( v3_struct_0 @ SV74 )
= $true )
| ( ( v3_group_1 @ SV74 )
= $false )
| ( ( l1_group_1 @ SV74 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7064]) ).
thf(7140,plain,
! [SV75: $i,SV150: $i] :
( ( ( m1_subset_1 @ SV150 @ ( u1_struct_0 @ SV75 ) )
= $false )
| ( ( ( ( k3_group_1 @ SV75 @ SV150 )
!= ( k2_group_1 @ SV75 ) )
| ( SV150
= ( k2_group_1 @ SV75 ) ) )
= $true )
| ( ( v4_group_1 @ SV75 )
= $false )
| ( ( v3_struct_0 @ SV75 )
= $true )
| ( ( v3_group_1 @ SV75 )
= $false )
| ( ( l1_group_1 @ SV75 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7065]) ).
thf(7141,plain,
! [SV77: $i,SV151: $i] :
( ( ( m1_subset_1 @ SV151 @ ( u1_struct_0 @ SV77 ) )
= $false )
| ( ( ! [SY428: $i] :
( ~ ( m1_subset_1 @ SY428 @ ( u1_struct_0 @ SV77 ) )
| ~ ! [SY429: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY429 @ ( u1_struct_0 @ SV77 ) )
| ( ( k1_group_1 @ SV77 @ SY429 @ SV151 )
!= SY428 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV77 )
= $false )
| ( ( v3_struct_0 @ SV77 )
= $true )
| ( ( v3_group_1 @ SV77 )
= $false )
| ( ( l1_group_1 @ SV77 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7066]) ).
thf(7142,plain,
! [SV2: $i] :
( ( ( l1_group_1 @ SV2 )
= $false )
| ( ( v3_group_1 @ SV2 )
= $false )
| ( ( v3_struct_0 @ SV2 )
= $true )
| ( ( v1_group_1 @ SV2 )
= $false )
| ( ( v4_group_1 @ SV2 )
= $false )
| ( ( ! [SY222: $i] :
( ~ ( m1_subset_1 @ SY222 @ ( u1_struct_0 @ SV2 ) )
| ! [SY223: $i] :
( ~ ( m1_subset_1 @ SY223 @ ( u1_struct_0 @ SV2 ) )
| ( ( k6_autgroup @ SV2 @ ( k1_group_1 @ SV2 @ SY222 @ SY223 ) )
= ( k7_funct_2 @ ( u1_struct_0 @ SV2 ) @ ( u1_struct_0 @ SV2 ) @ ( u1_struct_0 @ SV2 ) @ ( k6_autgroup @ SV2 @ SY222 ) @ ( k6_autgroup @ SV2 @ SY223 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7067]) ).
thf(7143,plain,
! [SV109: $i,SV3: $i,SV154: $i] :
( ( ( ~ ( m1_subset_1 @ SV154 @ ( u1_struct_0 @ SV3 ) )
| ~ ( ( ( k1_group_1 @ SV3 @ SV109 @ SV154 )
= SV109 )
| ( ( k1_group_1 @ SV3 @ SV154 @ SV109 )
= SV109 ) )
| ( SV154
= ( k2_group_1 @ SV3 ) ) )
= $true )
| ( ( m1_subset_1 @ SV109 @ ( u1_struct_0 @ SV3 ) )
= $false )
| ( ( v4_group_1 @ SV3 )
= $false )
| ( ( v3_struct_0 @ SV3 )
= $true )
| ( ( v3_group_1 @ SV3 )
= $false )
| ( ( l1_group_1 @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7068]) ).
thf(7144,plain,
! [SV110: $i,SV4: $i,SV155: $i] :
( ( ( ~ ( m1_group_2 @ SV155 @ SV4 )
| ( ( k2_group_1 @ SV110 )
= ( k2_group_1 @ SV155 ) ) )
= $true )
| ( ( m1_group_2 @ SV110 @ SV4 )
= $false )
| ( ( v4_group_1 @ SV4 )
= $false )
| ( ( v3_struct_0 @ SV4 )
= $true )
| ( ( v3_group_1 @ SV4 )
= $false )
| ( ( l1_group_1 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7069]) ).
thf(7145,plain,
! [SV111: $i,SV5: $i,SV156: $i] :
( ( ( ~ ( m1_subset_1 @ SV156 @ ( u1_struct_0 @ SV5 ) )
| ~ ( ( ( k2_group_3 @ SV5 @ ( k2_group_3 @ SV5 @ SV111 @ SV156 ) @ ( k3_group_1 @ SV5 @ SV156 ) )
!= SV111 )
| ( ( k2_group_3 @ SV5 @ ( k2_group_3 @ SV5 @ SV111 @ ( k3_group_1 @ SV5 @ SV156 ) ) @ SV156 )
!= SV111 ) ) )
= $true )
| ( ( m1_subset_1 @ SV111 @ ( u1_struct_0 @ SV5 ) )
= $false )
| ( ( v4_group_1 @ SV5 )
= $false )
| ( ( v3_struct_0 @ SV5 )
= $true )
| ( ( v3_group_1 @ SV5 )
= $false )
| ( ( l1_group_1 @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7070]) ).
thf(7146,plain,
! [SV113: $i,SV7: $i] :
( ( ( ~ ( ( r2_group_3 @ SV7 @ SV113 @ ( k2_group_1 @ SV7 ) )
| ( r2_group_3 @ SV7 @ ( k2_group_1 @ SV7 ) @ SV113 ) ) )
= $true )
| ( ( SV113
= ( k2_group_1 @ SV7 ) )
= $true )
| ( ( m1_subset_1 @ SV113 @ ( u1_struct_0 @ SV7 ) )
= $false )
| ( ( v4_group_1 @ SV7 )
= $false )
| ( ( v3_struct_0 @ SV7 )
= $true )
| ( ( v3_group_1 @ SV7 )
= $false )
| ( ( l1_group_1 @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7072]) ).
thf(7147,plain,
! [SV114: $i,SV8: $i,SV157: $i] :
( ( ( ~ ( m1_subset_1 @ SV157 @ ( u1_struct_0 @ SV8 ) )
| ! [SY438: $i] :
( ~ ( m1_subset_1 @ SY438 @ ( u1_struct_0 @ SV8 ) )
| ~ ( ( ( k1_group_1 @ SV8 @ SV114 @ SV157 )
= ( k1_group_1 @ SV8 @ SV114 @ SY438 ) )
| ( ( k1_group_1 @ SV8 @ SV157 @ SV114 )
= ( k1_group_1 @ SV8 @ SY438 @ SV114 ) ) )
| ( SV157 = SY438 ) ) )
= $true )
| ( ( m1_subset_1 @ SV114 @ ( u1_struct_0 @ SV8 ) )
= $false )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7073]) ).
thf(7148,plain,
! [SV115: $i,SV10: $i,SV158: $i] :
( ( ( ~ ( m1_subset_1 @ SV158 @ ( u1_struct_0 @ SV10 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV10 @ SV115 @ SV158 )
!= ( k1_group_1 @ SV10 @ SV158 @ SV115 ) )
| ( ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SV115 ) @ ( k3_group_1 @ SV10 @ SV158 ) )
= ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SV158 ) @ ( k3_group_1 @ SV10 @ SV115 ) ) ) )
| ~ ( ( ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SV115 ) @ ( k3_group_1 @ SV10 @ SV158 ) )
!= ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SV158 ) @ ( k3_group_1 @ SV10 @ SV115 ) ) )
| ( ( k1_group_1 @ SV10 @ SV115 @ SV158 )
= ( k1_group_1 @ SV10 @ SV158 @ SV115 ) ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV115 @ ( u1_struct_0 @ SV10 ) )
= $false )
| ( ( v4_group_1 @ SV10 )
= $false )
| ( ( v3_struct_0 @ SV10 )
= $true )
| ( ( v3_group_1 @ SV10 )
= $false )
| ( ( l1_group_1 @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7074]) ).
thf(7149,plain,
! [SV11: $i] :
( ( ( l1_group_1 @ SV11 )
= $false )
| ( ( v3_group_1 @ SV11 )
= $false )
| ( ( v3_struct_0 @ SV11 )
= $true )
| ( ( v1_group_1 @ SV11 )
= $false )
| ( ( v4_group_1 @ SV11 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k3_autgroup @ SV11 ) )
| ~ ( v1_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( v3_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( v4_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( l1_group_1 @ ( k3_autgroup @ SV11 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7075]) ).
thf(7150,plain,
! [SV116: $i,SV13: $i,SV159: $i] :
( ( ( ~ ( m1_subset_1 @ SV159 @ ( u1_struct_0 @ SV13 ) )
| ~ ( ~ ~ ( ( ( k3_group_5 @ SV13 @ SV116 @ SV159 @ ( k2_group_1 @ SV13 ) )
!= ( k2_group_1 @ SV13 ) )
| ( ( k3_group_5 @ SV13 @ SV116 @ ( k2_group_1 @ SV13 ) @ SV159 )
!= ( k2_group_1 @ SV13 ) ) )
| ( ( k3_group_5 @ SV13 @ ( k2_group_1 @ SV13 ) @ SV116 @ SV159 )
!= ( k2_group_1 @ SV13 ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV116 @ ( u1_struct_0 @ SV13 ) )
= $false )
| ( ( v4_group_1 @ SV13 )
= $false )
| ( ( v3_struct_0 @ SV13 )
= $true )
| ( ( v3_group_1 @ SV13 )
= $false )
| ( ( l1_group_1 @ SV13 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7076]) ).
thf(7151,plain,
! [SV117: $i,SV15: $i,SV160: $i] :
( ( ( ~ ( m1_subset_1 @ SV160 @ ( u1_struct_0 @ SV15 ) )
| ( ( k2_group_3 @ SV15 @ ( k3_group_1 @ SV15 @ SV117 ) @ SV160 )
= ( k3_group_1 @ SV15 @ ( k2_group_3 @ SV15 @ SV117 @ SV160 ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV117 @ ( u1_struct_0 @ SV15 ) )
= $false )
| ( ( v4_group_1 @ SV15 )
= $false )
| ( ( v3_struct_0 @ SV15 )
= $true )
| ( ( v3_group_1 @ SV15 )
= $false )
| ( ( l1_group_1 @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7077]) ).
thf(7152,plain,
! [SV16: $i,SV161: $i] :
( ( ( ~ ( m1_subset_1 @ SV161 @ ( u1_struct_0 @ SV16 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV16 @ SV161 @ ( sK19_SY243 @ SV16 ) )
!= SV161 )
| ( ( k1_group_1 @ SV16 @ ( sK19_SY243 @ SV16 ) @ SV161 )
!= SV161 ) )
| ~ ~ ! [SY439: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY439 @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ SV161 @ SY439 )
!= ( sK19_SY243 @ SV16 ) ) )
| ( ( k1_group_1 @ SV16 @ SY439 @ SV161 )
!= ( sK19_SY243 @ SV16 ) ) ) ) )
= $true )
| ( ( v3_group_1 @ SV16 )
= $false )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7079]) ).
thf(7153,plain,
! [SV106: $i,SV16: $i] :
( ( ( ! [SY385: $i] :
( ~ ( m1_subset_1 @ SY385 @ ( u1_struct_0 @ SV16 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV16 @ SY385 @ SV106 )
!= SY385 )
| ( ( k1_group_1 @ SV16 @ SV106 @ SY385 )
!= SY385 ) )
| ~ ~ ! [SY386: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY386 @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ SY385 @ SY386 )
!= SV106 ) )
| ( ( k1_group_1 @ SV16 @ SY386 @ SY385 )
!= SV106 ) ) ) ) )
= $false )
| ( ( m1_subset_1 @ SV106 @ ( u1_struct_0 @ SV16 ) )
= $false )
| ( ( v3_group_1 @ SV16 )
= $true )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7080]) ).
thf(7154,plain,
! [SV118: $i,SV17: $i,SV162: $i] :
( ( ( ~ ( m1_subset_1 @ SV162 @ ( u1_struct_0 @ SV17 ) )
| ( ( k2_group_3 @ SV17 @ SV118 @ SV162 )
!= ( k2_group_1 @ SV17 ) )
| ( SV118
= ( k2_group_1 @ SV17 ) ) )
= $true )
| ( ( m1_subset_1 @ SV118 @ ( u1_struct_0 @ SV17 ) )
= $false )
| ( ( v4_group_1 @ SV17 )
= $false )
| ( ( v3_struct_0 @ SV17 )
= $true )
| ( ( v3_group_1 @ SV17 )
= $false )
| ( ( l1_group_1 @ SV17 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7081]) ).
thf(7155,plain,
! [SV92: $i,SV79: $i,SV19: $i] :
( ( ( ~ ( v3_struct_0 @ SV19 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV19 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV19 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV19 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV79 @ ( u1_struct_0 @ SV19 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV92 @ ( u1_struct_0 @ SV19 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k2_group_3 @ SV19 @ SV79 @ SV92 ) @ ( u1_struct_0 @ SV19 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7083]) ).
thf(7156,plain,
! [SV120: $i,SV21: $i,SV163: $i] :
( ( ( ~ ( m1_subset_1 @ SV163 @ ( u1_struct_0 @ SV21 ) )
| ! [SY440: $i] :
( ~ ( m1_subset_1 @ SY440 @ ( u1_struct_0 @ SV21 ) )
| ~ ~ ( ~ ( r2_group_3 @ SV21 @ SV120 @ SV163 )
| ~ ( r2_group_3 @ SV21 @ SV163 @ SY440 ) )
| ( r2_group_3 @ SV21 @ SV120 @ SY440 ) ) )
= $true )
| ( ( m1_subset_1 @ SV120 @ ( u1_struct_0 @ SV21 ) )
= $false )
| ( ( v4_group_1 @ SV21 )
= $false )
| ( ( v3_struct_0 @ SV21 )
= $true )
| ( ( v3_group_1 @ SV21 )
= $false )
| ( ( l1_group_1 @ SV21 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7084]) ).
thf(7157,plain,
! [SV22: $i] :
( ( ( l1_group_1 @ SV22 )
= $false )
| ( ( v3_group_1 @ SV22 )
= $false )
| ( ( v3_struct_0 @ SV22 )
= $true )
| ( ( v1_group_1 @ SV22 )
= $false )
| ( ( v4_group_1 @ SV22 )
= $false )
| ( ( ! [SY257: $i] :
( ~ ~ ( ~ ( v1_group_1 @ SY257 )
| ~ ( m1_group_2 @ SY257 @ SV22 ) )
| ( ( u1_struct_0 @ SY257 )
!= ( u1_struct_0 @ SV22 ) )
| ( SY257 = SV22 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7085]) ).
thf(7158,plain,
! [SV121: $i,SV23: $i,SV164: $i] :
( ( ( ~ ( m1_subset_1 @ SV164 @ ( u1_struct_0 @ SV23 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV23 @ SV121 @ SV164 )
!= ( k1_group_1 @ SV23 @ SV164 @ SV121 ) )
| ( ( k3_group_1 @ SV23 @ ( k1_group_1 @ SV23 @ SV121 @ SV164 ) )
= ( k1_group_1 @ SV23 @ ( k3_group_1 @ SV23 @ SV121 ) @ ( k3_group_1 @ SV23 @ SV164 ) ) ) )
| ~ ( ( ( k3_group_1 @ SV23 @ ( k1_group_1 @ SV23 @ SV121 @ SV164 ) )
!= ( k1_group_1 @ SV23 @ ( k3_group_1 @ SV23 @ SV121 ) @ ( k3_group_1 @ SV23 @ SV164 ) ) )
| ( ( k1_group_1 @ SV23 @ SV121 @ SV164 )
= ( k1_group_1 @ SV23 @ SV164 @ SV121 ) ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV121 @ ( u1_struct_0 @ SV23 ) )
= $false )
| ( ( v4_group_1 @ SV23 )
= $false )
| ( ( v3_struct_0 @ SV23 )
= $true )
| ( ( v3_group_1 @ SV23 )
= $false )
| ( ( l1_group_1 @ SV23 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7086]) ).
thf(7159,plain,
! [SV122: $i,SV24: $i] :
( ( ( ( ( k2_group_5 @ SV24 @ ( k2_group_1 @ SV24 ) @ SV122 )
!= ( k2_group_1 @ SV24 ) )
| ( ( k2_group_5 @ SV24 @ SV122 @ ( k2_group_1 @ SV24 ) )
!= ( k2_group_1 @ SV24 ) ) )
= $false )
| ( ( m1_subset_1 @ SV122 @ ( u1_struct_0 @ SV24 ) )
= $false )
| ( ( v4_group_1 @ SV24 )
= $false )
| ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( v3_group_1 @ SV24 )
= $false )
| ( ( l1_group_1 @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7087]) ).
thf(7160,plain,
! [SV26: $i,SV123: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV123 )
| ~ ( v3_group_1 @ SV123 ) )
| ~ ( v4_group_1 @ SV123 ) )
| ~ ( l1_group_1 @ SV123 ) )
= $true )
| ( ( ! [SY403: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY403 )
| ~ ( v3_group_1 @ SY403 ) )
| ~ ( v4_group_1 @ SY403 ) )
| ~ ( l1_group_1 @ SY403 ) )
| ~ ~ ( ~ ( m1_group_2 @ SV26 @ SV123 )
| ~ ( m1_group_2 @ SV123 @ SY403 ) )
| ( m1_group_2 @ SV26 @ SY403 ) ) )
= $true )
| ( ( v4_group_1 @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( v3_group_1 @ SV26 )
= $false )
| ( ( l1_group_1 @ SV26 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7088]) ).
thf(7161,plain,
! [SV28: $i] :
( ( ( m1_subset_1 @ ( sK23_SY268 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( m1_subset_1 @ ( sK16_SY265 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7089]) ).
thf(7162,plain,
! [SV28: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK28_SY430 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
| ~ ( ~ ~ ! [SY441: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY441 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ ( sK23_SY268 @ SV28 ) @ SY441 )
!= ( sK28_SY430 @ SV28 ) ) )
| ~ ~ ! [SY442: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY442 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY442 @ ( sK23_SY268 @ SV28 ) )
!= ( sK28_SY430 @ SV28 ) ) ) ) )
= $false )
| ( ( m1_subset_1 @ ( sK16_SY265 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[7090]) ).
thf(7163,plain,
! [SV28: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK29_SY268 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
| ! [SY443: $i] :
( ~ ( m1_subset_1 @ SY443 @ ( u1_struct_0 @ SV28 ) )
| ~ ( ~ ~ ! [SY444: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY444 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ ( sK29_SY268 @ SV28 ) @ SY444 )
!= SY443 ) )
| ~ ~ ! [SY445: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY445 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY445 @ ( sK29_SY268 @ SV28 ) )
!= SY443 ) ) ) ) )
= $false )
| ( ( m1_subset_1 @ ( sK21_SY377 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[7091]) ).
thf(7164,plain,
! [SV28: $i] :
( ( ( m1_subset_1 @ ( sK24_SY389 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ! [SY268: $i] :
( ~ ( m1_subset_1 @ SY268 @ ( u1_struct_0 @ SV28 ) )
| ! [SY269: $i] :
( ~ ( m1_subset_1 @ SY269 @ ( u1_struct_0 @ SV28 ) )
| ~ ( ~ ~ ! [SY270: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY270 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY268 @ SY270 )
!= SY269 ) )
| ~ ~ ! [SY271: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY271 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY271 @ SY268 )
!= SY269 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7092]) ).
thf(7165,plain,
! [SV28: $i] :
( ( ( ! [SY268: $i] :
( ~ ( m1_subset_1 @ SY268 @ ( u1_struct_0 @ SV28 ) )
| ! [SY269: $i] :
( ~ ( m1_subset_1 @ SY269 @ ( u1_struct_0 @ SV28 ) )
| ~ ( ~ ~ ! [SY270: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY270 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY268 @ SY270 )
!= SY269 ) )
| ~ ~ ! [SY271: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY271 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY271 @ SY268 )
!= SY269 ) ) ) ) ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( sK21_SY377 @ SV28 ) ) @ ( sK24_SY389 @ SV28 ) )
= ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( k1_group_1 @ SV28 @ ( sK21_SY377 @ SV28 ) @ ( sK24_SY389 @ SV28 ) ) ) )
= $false )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7093]) ).
thf(7166,plain,
! [SV93: $i,SV81: $i,SV29: $i] :
( ( ( ~ ( v3_struct_0 @ SV29 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV29 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV29 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV29 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV81 @ ( u1_struct_0 @ SV29 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV93 @ ( u1_struct_0 @ SV29 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k2_group_5 @ SV29 @ SV81 @ SV93 ) @ ( u1_struct_0 @ SV29 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7094]) ).
thf(7167,plain,
! [SV94: $i,SV82: $i,SV30: $i] :
( ( ( ~ ( v3_struct_0 @ SV30 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV30 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV30 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV30 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV82 @ ( u1_struct_0 @ SV30 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV94 @ ( u1_struct_0 @ SV30 ) ) )
= $true )
| ( ( r2_group_3 @ SV30 @ SV82 @ SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7095]) ).
thf(7168,plain,
! [SV124: $i,SV31: $i,SV165: $i] :
( ( ( ~ ( m1_subset_1 @ SV165 @ ( u1_struct_0 @ SV31 ) )
| ( ( k3_group_1 @ SV31 @ SV124 )
!= ( k3_group_1 @ SV31 @ SV165 ) )
| ( SV124 = SV165 ) )
= $true )
| ( ( m1_subset_1 @ SV124 @ ( u1_struct_0 @ SV31 ) )
= $false )
| ( ( v4_group_1 @ SV31 )
= $false )
| ( ( v3_struct_0 @ SV31 )
= $true )
| ( ( v3_group_1 @ SV31 )
= $false )
| ( ( l1_group_1 @ SV31 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7096]) ).
thf(7169,plain,
! [SV125: $i,SV32: $i] :
( ( ( ( ( k2_group_5 @ SV32 @ SV125 @ ( k3_group_1 @ SV32 @ SV125 ) )
!= ( k2_group_1 @ SV32 ) )
| ( ( k2_group_5 @ SV32 @ ( k3_group_1 @ SV32 @ SV125 ) @ SV125 )
!= ( k2_group_1 @ SV32 ) ) )
= $false )
| ( ( m1_subset_1 @ SV125 @ ( u1_struct_0 @ SV32 ) )
= $false )
| ( ( v4_group_1 @ SV32 )
= $false )
| ( ( v3_struct_0 @ SV32 )
= $true )
| ( ( v3_group_1 @ SV32 )
= $false )
| ( ( l1_group_1 @ SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7097]) ).
thf(7170,plain,
! [SV126: $i,SV33: $i,SV166: $i] :
( ( ( ~ ( m1_subset_1 @ SV166 @ ( u1_struct_0 @ SV33 ) )
| ! [SY446: $i] :
( ~ ( m1_subset_1 @ SY446 @ ( u1_struct_0 @ SV33 ) )
| ( ( k2_group_3 @ SV33 @ SV126 @ SV166 )
!= ( k2_group_3 @ SV33 @ SY446 @ SV166 ) )
| ( SV126 = SY446 ) ) )
= $true )
| ( ( m1_subset_1 @ SV126 @ ( u1_struct_0 @ SV33 ) )
= $false )
| ( ( v4_group_1 @ SV33 )
= $false )
| ( ( v3_struct_0 @ SV33 )
= $true )
| ( ( v3_group_1 @ SV33 )
= $false )
| ( ( l1_group_1 @ SV33 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7098]) ).
thf(7171,plain,
! [SV127: $i,SV34: $i,SV167: $i] :
( ( ( ~ ( m1_subset_1 @ SV167 @ ( u1_struct_0 @ SV34 ) )
| ~ ( ( ( k1_group_1 @ SV34 @ SV127 @ SV167 )
= ( k2_group_1 @ SV34 ) )
| ( ( k1_group_1 @ SV34 @ SV167 @ SV127 )
= ( k2_group_1 @ SV34 ) ) )
| ~ ( ( SV127
!= ( k3_group_1 @ SV34 @ SV167 ) )
| ( SV167
!= ( k3_group_1 @ SV34 @ SV127 ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV127 @ ( u1_struct_0 @ SV34 ) )
= $false )
| ( ( v4_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7099]) ).
thf(7172,plain,
! [SV83: $i,SV35: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV35 )
| ~ ( v3_group_1 @ SV35 ) )
| ~ ( v4_group_1 @ SV35 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV35 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV83 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV83 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV83 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV83 ) )
= $true )
| ( ( r1_group_6 @ SV35 @ SV35 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7100]) ).
thf(7173,plain,
! [SV128: $i,SV36: $i,SV168: $i] :
( ( ( ~ ( m1_subset_1 @ SV168 @ ( u1_struct_0 @ SV36 ) )
| ! [SY447: $i] :
( ~ ( m1_subset_1 @ SY447 @ ( u1_struct_0 @ SV36 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV36 @ SV128 @ SV168 )
!= SY447 )
| ( SV128
= ( k1_group_1 @ SV36 @ SY447 @ ( k3_group_1 @ SV36 @ SV168 ) ) ) )
| ~ ( ( SV128
!= ( k1_group_1 @ SV36 @ SY447 @ ( k3_group_1 @ SV36 @ SV168 ) ) )
| ( ( k1_group_1 @ SV36 @ SV128 @ SV168 )
= SY447 ) ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV128 @ ( u1_struct_0 @ SV36 ) )
= $false )
| ( ( v4_group_1 @ SV36 )
= $false )
| ( ( v3_struct_0 @ SV36 )
= $true )
| ( ( v3_group_1 @ SV36 )
= $false )
| ( ( l1_group_1 @ SV36 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7101]) ).
thf(7174,plain,
! [SV38: $i,SV103: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV103 ) )
= $false )
| ( ( m1_group_2 @ SV103 @ SV38 )
= $false )
| ( ( v3_group_1 @ SV38 )
= $false )
| ( ( v3_struct_0 @ SV38 )
= $true )
| ( ( l1_group_1 @ SV38 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7103]) ).
thf(7175,plain,
! [SV38: $i,SV103: $i] :
( ( ( ~ ( v3_group_1 @ SV103 ) )
= $false )
| ( ( m1_group_2 @ SV103 @ SV38 )
= $false )
| ( ( v3_group_1 @ SV38 )
= $false )
| ( ( v3_struct_0 @ SV38 )
= $true )
| ( ( l1_group_1 @ SV38 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7103]) ).
thf(7176,plain,
! [SV130: $i,SV41: $i,SV169: $i] :
( ( ( ~ ( m1_subset_1 @ SV169 @ ( u1_struct_0 @ SV41 ) )
| ( ( k3_group_1 @ SV41 @ ( k2_group_5 @ SV41 @ SV130 @ SV169 ) )
= ( k2_group_5 @ SV41 @ SV169 @ SV130 ) ) )
= $true )
| ( ( m1_subset_1 @ SV130 @ ( u1_struct_0 @ SV41 ) )
= $false )
| ( ( v4_group_1 @ SV41 )
= $false )
| ( ( v3_struct_0 @ SV41 )
= $true )
| ( ( v3_group_1 @ SV41 )
= $false )
| ( ( l1_group_1 @ SV41 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7104]) ).
thf(7177,plain,
! [SV131: $i,SV42: $i,SV170: $i] :
( ( ( ~ ( m1_subset_1 @ SV170 @ ( u1_struct_0 @ SV42 ) )
| ( ( k3_group_5 @ SV42 @ SV131 @ SV131 @ SV170 )
= ( k2_group_1 @ SV42 ) ) )
= $true )
| ( ( m1_subset_1 @ SV131 @ ( u1_struct_0 @ SV42 ) )
= $false )
| ( ( v4_group_1 @ SV42 )
= $false )
| ( ( v3_struct_0 @ SV42 )
= $true )
| ( ( v3_group_1 @ SV42 )
= $false )
| ( ( l1_group_1 @ SV42 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7105]) ).
thf(7178,plain,
! [SV43: $i,SV104: $i] :
( ( ( m1_subset_1 @ ( sK25_SY375 @ SV104 @ SV43 ) @ ( u1_struct_0 @ SV43 ) )
= $true )
| ( ( SV104
= ( k2_group_1 @ SV43 ) )
= $true )
| ( ( m1_subset_1 @ SV104 @ ( u1_struct_0 @ SV43 ) )
= $false )
| ( ( v3_group_1 @ SV43 )
= $false )
| ( ( v3_struct_0 @ SV43 )
= $true )
| ( ( l1_group_1 @ SV43 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7106]) ).
thf(7179,plain,
! [SV104: $i,SV43: $i] :
( ( ( ( ( k1_group_1 @ SV43 @ ( sK25_SY375 @ SV104 @ SV43 ) @ SV104 )
!= ( sK25_SY375 @ SV104 @ SV43 ) )
| ( ( k1_group_1 @ SV43 @ SV104 @ ( sK25_SY375 @ SV104 @ SV43 ) )
!= ( sK25_SY375 @ SV104 @ SV43 ) ) )
= $true )
| ( ( SV104
= ( k2_group_1 @ SV43 ) )
= $true )
| ( ( m1_subset_1 @ SV104 @ ( u1_struct_0 @ SV43 ) )
= $false )
| ( ( v3_group_1 @ SV43 )
= $false )
| ( ( v3_struct_0 @ SV43 )
= $true )
| ( ( l1_group_1 @ SV43 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7107]) ).
thf(7180,plain,
! [SV132: $i,SV105: $i,SV44: $i,SV171: $i] :
( ( ( ~ ( m1_subset_1 @ SV171 @ ( u1_struct_0 @ SV44 ) )
| ( ( k1_group_1 @ SV44 @ ( k1_group_1 @ SV44 @ SV105 @ SV132 ) @ SV171 )
= ( k1_group_1 @ SV44 @ SV105 @ ( k1_group_1 @ SV44 @ SV132 @ SV171 ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV132 @ ( u1_struct_0 @ SV44 ) )
= $false )
| ( ( m1_subset_1 @ SV105 @ ( u1_struct_0 @ SV44 ) )
= $false )
| ( ( v4_group_1 @ SV44 )
= $false )
| ( ( v3_struct_0 @ SV44 )
= $true )
| ( ( l1_group_1 @ SV44 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7109]) ).
thf(7181,plain,
! [SV44: $i] :
( ( ( m1_subset_1 @ ( sK26_SY390 @ SV44 ) @ ( u1_struct_0 @ SV44 ) )
= $true )
| ( ( v4_group_1 @ SV44 )
= $true )
| ( ( v3_struct_0 @ SV44 )
= $true )
| ( ( l1_group_1 @ SV44 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7110]) ).
thf(7182,plain,
! [SV133: $i,SV45: $i,SV172: $i] :
( ( ( ~ ( m1_subset_1 @ SV172 @ ( u1_struct_0 @ SV45 ) )
| ( ( k3_group_1 @ SV45 @ ( k1_group_1 @ SV45 @ SV133 @ SV172 ) )
= ( k1_group_1 @ SV45 @ ( k3_group_1 @ SV45 @ SV172 ) @ ( k3_group_1 @ SV45 @ SV133 ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV133 @ ( u1_struct_0 @ SV45 ) )
= $false )
| ( ( v4_group_1 @ SV45 )
= $false )
| ( ( v3_struct_0 @ SV45 )
= $true )
| ( ( v3_group_1 @ SV45 )
= $false )
| ( ( l1_group_1 @ SV45 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7112]) ).
thf(7183,plain,
! [SV46: $i] :
( ( ( l1_group_1 @ SV46 )
= $false )
| ( ( v3_group_1 @ SV46 )
= $false )
| ( ( v3_struct_0 @ SV46 )
= $true )
| ( ( v1_group_1 @ SV46 )
= $false )
| ( ( v4_group_1 @ SV46 )
= $false )
| ( ( ( k6_autgroup @ SV46 @ ( k2_group_1 @ SV46 ) )
= ( k6_partfun1 @ ( u1_struct_0 @ SV46 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7113]) ).
thf(7184,plain,
! [SV98: $i,SV95: $i,SV84: $i,SV47: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV47 )
| ~ ( v3_group_1 @ SV47 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV47 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV47 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV84 @ ( u1_struct_0 @ SV47 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV95 @ ( u1_struct_0 @ SV47 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV98 @ ( u1_struct_0 @ SV47 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k3_group_5 @ SV47 @ SV84 @ SV95 @ SV98 ) @ ( u1_struct_0 @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7114]) ).
thf(7185,plain,
! [SV48: $i,SV134: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV134 )
| ~ ( v3_group_1 @ SV134 ) )
| ~ ( v4_group_1 @ SV134 ) )
| ~ ( l1_group_1 @ SV134 ) )
= $true )
| ( ( ! [SY414: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY414 )
| ~ ( v3_group_1 @ SY414 ) )
| ~ ( v4_group_1 @ SY414 ) )
| ~ ( l1_group_1 @ SY414 ) )
| ~ ~ ( ~ ( r1_group_6 @ SV48 @ SV134 )
| ~ ( r1_group_6 @ SV134 @ SY414 ) )
| ( r1_group_6 @ SV48 @ SY414 ) ) )
= $true )
| ( ( v4_group_1 @ SV48 )
= $false )
| ( ( v3_struct_0 @ SV48 )
= $true )
| ( ( v3_group_1 @ SV48 )
= $false )
| ( ( l1_group_1 @ SV48 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7115]) ).
thf(7186,plain,
! [SV85: $i,SV49: $i] :
( ( ( l1_group_1 @ SV49 )
= $false )
| ( ( v3_group_1 @ SV49 )
= $false )
| ( ( v3_struct_0 @ SV49 )
= $true )
| ( ( v4_group_1 @ SV49 )
= $false )
| ( ( ~ ( m1_subset_1 @ SV85 @ ( u1_struct_0 @ SV49 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k3_group_1 @ SV49 @ SV85 ) @ ( u1_struct_0 @ SV49 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7116]) ).
thf(7187,plain,
! [SV96: $i,SV86: $i,SV51: $i] :
( ( ( ~ ( v3_struct_0 @ SV51 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV51 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV51 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV51 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV86 @ ( u1_struct_0 @ SV51 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV96 @ ( u1_struct_0 @ SV51 ) ) )
= $true )
| ( ( ~ ( r2_group_3 @ SV51 @ SV86 @ SV96 )
| ( r2_group_3 @ SV51 @ SV96 @ SV86 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7117]) ).
thf(7188,plain,
! [SV52: $i] :
( ( ( l1_group_1 @ SV52 )
= $false )
| ( ( v3_group_1 @ SV52 )
= $false )
| ( ( v3_struct_0 @ SV52 )
= $true )
| ( ( v1_group_1 @ SV52 )
= $false )
| ( ( v4_group_1 @ SV52 )
= $false )
| ( ( ! [SY313: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY313 )
| ~ ( v1_group_1 @ SY313 ) )
| ~ ( v3_group_1 @ SY313 ) )
| ~ ( v4_group_1 @ SY313 ) )
| ~ ( l1_group_1 @ SY313 ) )
| ~ ( r1_group_6 @ SV52 @ SY313 )
| ( r1_group_6 @ SY313 @ SV52 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7118]) ).
thf(7189,plain,
! [SV136: $i,SV54: $i,SV173: $i] :
( ( ( ~ ( m1_subset_1 @ SV173 @ ( u1_struct_0 @ SV54 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV54 @ SV136 @ SV173 )
!= ( k1_group_1 @ SV54 @ SV173 @ SV136 ) )
| ( ( k1_group_1 @ SV54 @ SV136 @ ( k3_group_1 @ SV54 @ SV173 ) )
= ( k1_group_1 @ SV54 @ ( k3_group_1 @ SV54 @ SV173 ) @ SV136 ) ) )
| ~ ( ( ( k1_group_1 @ SV54 @ SV136 @ ( k3_group_1 @ SV54 @ SV173 ) )
!= ( k1_group_1 @ SV54 @ ( k3_group_1 @ SV54 @ SV173 ) @ SV136 ) )
| ( ( k1_group_1 @ SV54 @ SV136 @ SV173 )
= ( k1_group_1 @ SV54 @ SV173 @ SV136 ) ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV136 @ ( u1_struct_0 @ SV54 ) )
= $false )
| ( ( v4_group_1 @ SV54 )
= $false )
| ( ( v3_struct_0 @ SV54 )
= $true )
| ( ( v3_group_1 @ SV54 )
= $false )
| ( ( l1_group_1 @ SV54 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7120]) ).
thf(7190,plain,
! [SV137: $i,SV55: $i,SV174: $i] :
( ( ( ~ ( m1_group_2 @ SV174 @ SV55 )
| ! [SY448: $i] :
( ~ ( m1_subset_1 @ SY448 @ ( u1_struct_0 @ SV174 ) )
| ( SY448 != SV137 )
| ( ( k3_group_1 @ SV174 @ SY448 )
= ( k3_group_1 @ SV55 @ SV137 ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV137 @ ( u1_struct_0 @ SV55 ) )
= $false )
| ( ( v4_group_1 @ SV55 )
= $false )
| ( ( v3_struct_0 @ SV55 )
= $true )
| ( ( v3_group_1 @ SV55 )
= $false )
| ( ( l1_group_1 @ SV55 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7121]) ).
thf(7191,plain,
! [SV138: $i,SV56: $i,SV175: $i] :
( ( ( ~ ( m1_subset_1 @ SV175 @ ( u1_struct_0 @ SV56 ) )
| ~ ~ ( ( ( k1_group_1 @ SV56 @ SV138 @ SV175 )
!= ( k2_group_1 @ SV56 ) )
| ( ( k1_group_1 @ SV56 @ SV175 @ SV138 )
!= ( k2_group_1 @ SV56 ) ) )
| ( SV175
= ( k3_group_1 @ SV56 @ SV138 ) ) )
= $true )
| ( ( m1_subset_1 @ SV138 @ ( u1_struct_0 @ SV56 ) )
= $false )
| ( ( v4_group_1 @ SV56 )
= $false )
| ( ( v3_struct_0 @ SV56 )
= $true )
| ( ( v3_group_1 @ SV56 )
= $false )
| ( ( l1_group_1 @ SV56 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7122]) ).
thf(7192,plain,
! [SV140: $i,SV59: $i,SV176: $i] :
( ( ( ~ ( m1_subset_1 @ SV176 @ ( u1_struct_0 @ SV59 ) )
| ~ ! [SY449: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY449 @ ( u1_struct_0 @ SV59 ) )
| ( ( k1_group_1 @ SV59 @ SV140 @ SY449 )
!= SV176 ) ) )
= $true )
| ( ( m1_subset_1 @ SV140 @ ( u1_struct_0 @ SV59 ) )
= $false )
| ( ( v4_group_1 @ SV59 )
= $false )
| ( ( v3_struct_0 @ SV59 )
= $true )
| ( ( v3_group_1 @ SV59 )
= $false )
| ( ( l1_group_1 @ SV59 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7124]) ).
thf(7193,plain,
! [SV141: $i,SV60: $i,SV177: $i] :
( ( ( ~ ( m1_subset_1 @ SV177 @ ( u1_struct_0 @ SV60 ) )
| ~ ( ~ ( ( SV177
!= ( k3_group_1 @ SV60 @ SV141 ) )
| ~ ( ( ( k1_group_1 @ SV60 @ SV141 @ SV177 )
!= ( k2_group_1 @ SV60 ) )
| ( ( k1_group_1 @ SV60 @ SV177 @ SV141 )
!= ( k2_group_1 @ SV60 ) ) ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV60 @ SV141 @ SV177 )
!= ( k2_group_1 @ SV60 ) )
| ( ( k1_group_1 @ SV60 @ SV177 @ SV141 )
!= ( k2_group_1 @ SV60 ) ) )
| ( SV177
= ( k3_group_1 @ SV60 @ SV141 ) ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV141 @ ( u1_struct_0 @ SV60 ) )
= $false )
| ( ( v4_group_1 @ SV60 )
= $false )
| ( ( v3_struct_0 @ SV60 )
= $true )
| ( ( v3_group_1 @ SV60 )
= $false )
| ( ( l1_group_1 @ SV60 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7125]) ).
thf(7194,plain,
! [SV87: $i,SV61: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV61 )
| ~ ( v1_group_1 @ SV61 ) )
| ~ ( v3_group_1 @ SV61 ) )
| ~ ( v4_group_1 @ SV61 ) )
| ~ ( l1_group_1 @ SV61 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV87 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( r2_group_6 @ SV61 @ SV87 )
| ( r2_group_6 @ SV87 @ SV61 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7126]) ).
thf(7195,plain,
! [SV62: $i] :
( ( ( l1_group_1 @ SV62 )
= $false )
| ( ( v3_group_1 @ SV62 )
= $false )
| ( ( v3_struct_0 @ SV62 )
= $true )
| ( ( v1_group_1 @ SV62 )
= $false )
| ( ( v4_group_1 @ SV62 )
= $false )
| ( ( ! [SY330: $i] :
( ~ ( m1_subset_1 @ SY330 @ ( u1_struct_0 @ SV62 ) )
| ( ( k8_funct_2 @ ( u1_struct_0 @ SV62 ) @ ( u1_struct_0 @ SV62 ) @ ( k6_autgroup @ SV62 @ ( k2_group_1 @ SV62 ) ) @ SY330 )
= SY330 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7127]) ).
thf(7196,plain,
! [SV143: $i,SV66: $i,SV178: $i] :
( ( ( ~ ( m1_subset_1 @ SV178 @ ( u1_struct_0 @ SV66 ) )
| ~ ( r1_group_3 @ SV66 @ SV143 @ SV178 )
| ( r1_group_3 @ SV66 @ SV178 @ SV143 ) )
= $true )
| ( ( m1_subset_1 @ SV143 @ ( u1_struct_0 @ SV66 ) )
= $false )
| ( ( v4_group_1 @ SV66 )
= $false )
| ( ( v3_struct_0 @ SV66 )
= $true )
| ( ( v3_group_1 @ SV66 )
= $false )
| ( ( l1_group_1 @ SV66 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7129]) ).
thf(7197,plain,
! [SV70: $i,SV107: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK27_SY387 @ SV107 @ SV70 ) @ ( u1_struct_0 @ SV70 ) ) )
= $false )
| ( ( m1_subset_1 @ SV107 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK14_SY342 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7132]) ).
thf(7198,plain,
! [SV107: $i,SV70: $i] :
( ( ( ~ ( ~ ~ ( ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SV107 )
!= ( sK27_SY387 @ SV107 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ SV107 @ ( sK27_SY387 @ SV107 @ SV70 ) )
!= ( sK27_SY387 @ SV107 @ SV70 ) ) )
| ~ ~ ! [SY435: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY435 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SY435 )
!= SV107 ) )
| ( ( k1_group_1 @ SV70 @ SY435 @ ( sK27_SY387 @ SV107 @ SV70 ) )
!= SV107 ) ) ) )
= $false )
| ( ( m1_subset_1 @ SV107 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK14_SY342 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7132]) ).
thf(7199,plain,
! [SV146: $i,SV70: $i] :
( ( ( ! [SY423: $i] :
( ~ ( m1_subset_1 @ SY423 @ ( u1_struct_0 @ SV70 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV70 @ SY423 @ SV146 )
!= SY423 )
| ( ( k1_group_1 @ SV70 @ SV146 @ SY423 )
!= SY423 ) )
| ~ ~ ! [SY424: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY424 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ SY423 @ SY424 )
!= SV146 ) )
| ( ( k1_group_1 @ SV70 @ SY424 @ SY423 )
!= SV146 ) ) ) ) )
= $false )
| ( ( m1_subset_1 @ SV146 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK15_SY372 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7133]) ).
thf(7200,plain,
! [SV70: $i,SV153: $i] :
( ( ( ~ ( m1_subset_1 @ SV153 @ ( u1_struct_0 @ SV70 ) ) )
= $true )
| ( ( ~ ! [SY436: $i] :
( ~ ( m1_subset_1 @ SY436 @ ( u1_struct_0 @ SV70 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV70 @ SY436 @ SV153 )
!= SY436 )
| ( ( k1_group_1 @ SV70 @ SV153 @ SY436 )
!= SY436 ) )
| ~ ~ ! [SY437: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY437 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ SY436 @ SY437 )
!= SV153 ) )
| ( ( k1_group_1 @ SV70 @ SY437 @ SY436 )
!= SV153 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK20_SY376 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7134]) ).
thf(7201,plain,
! [SV70: $i,SV152: $i] :
( ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ! [SY433: $i] :
( ~ ( m1_subset_1 @ SY433 @ ( u1_struct_0 @ SV70 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV70 @ SY433 @ SV152 )
!= SY433 )
| ( ( k1_group_1 @ SV70 @ SV152 @ SY433 )
!= SY433 ) )
| ~ ~ ! [SY434: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY434 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ SY433 @ SY434 )
!= SV152 ) )
| ( ( k1_group_1 @ SV70 @ SY434 @ SY433 )
!= SV152 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( sK15_SY372 @ SV70 ) ) @ ( sK20_SY376 @ SV70 ) )
= ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( k1_group_1 @ SV70 @ ( sK15_SY372 @ SV70 ) @ ( sK20_SY376 @ SV70 ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7135]) ).
thf(7202,plain,
! [SV147: $i,SV71: $i,SV179: $i] :
( ( ( ~ ( m1_subset_1 @ SV179 @ ( u1_struct_0 @ SV71 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV147 @ SV179 ) @ ( k3_group_1 @ SV71 @ SV179 ) )
!= SV147 )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV147 @ ( k3_group_1 @ SV71 @ SV179 ) ) @ SV179 )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SV179 ) @ SV179 ) @ SV147 )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV179 @ ( k3_group_1 @ SV71 @ SV179 ) ) @ SV147 )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ SV147 @ ( k1_group_1 @ SV71 @ SV179 @ ( k3_group_1 @ SV71 @ SV179 ) ) )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ SV147 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SV179 ) @ SV179 ) )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SV179 ) @ ( k1_group_1 @ SV71 @ SV179 @ SV147 ) )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ SV179 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SV179 ) @ SV147 ) )
!= SV147 ) ) )
= $true )
| ( ( m1_subset_1 @ SV147 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( v4_group_1 @ SV71 )
= $false )
| ( ( v3_struct_0 @ SV71 )
= $true )
| ( ( v3_group_1 @ SV71 )
= $false )
| ( ( l1_group_1 @ SV71 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7136]) ).
thf(7203,plain,
! [SV91: $i,SV72: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV72 )
| ~ ( v1_group_1 @ SV72 ) )
| ~ ( v3_group_1 @ SV72 ) )
| ~ ( v4_group_1 @ SV72 ) )
| ~ ( l1_group_1 @ SV72 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV91 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV91 ) )
= $true )
| ( ( r2_group_6 @ SV72 @ SV72 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7137]) ).
thf(7204,plain,
! [SV148: $i,SV73: $i] :
( ( ( ( ( k2_group_3 @ SV73 @ SV148 @ ( k3_group_1 @ SV73 @ SV148 ) )
!= SV148 )
| ( ( k2_group_3 @ SV73 @ ( k3_group_1 @ SV73 @ SV148 ) @ SV148 )
!= ( k3_group_1 @ SV73 @ SV148 ) ) )
= $false )
| ( ( m1_subset_1 @ SV148 @ ( u1_struct_0 @ SV73 ) )
= $false )
| ( ( v4_group_1 @ SV73 )
= $false )
| ( ( v3_struct_0 @ SV73 )
= $true )
| ( ( v3_group_1 @ SV73 )
= $false )
| ( ( l1_group_1 @ SV73 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7138]) ).
thf(7205,plain,
! [SV149: $i,SV74: $i,SV180: $i] :
( ( ( ~ ( m1_subset_1 @ SV180 @ ( u1_struct_0 @ SV74 ) )
| ! [SY450: $i] :
( ~ ( m1_subset_1 @ SY450 @ ( u1_struct_0 @ SV74 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV74 @ SV149 @ SV180 )
!= SY450 )
| ( SV180
= ( k1_group_1 @ SV74 @ ( k3_group_1 @ SV74 @ SV149 ) @ SY450 ) ) )
| ~ ( ( SV180
!= ( k1_group_1 @ SV74 @ ( k3_group_1 @ SV74 @ SV149 ) @ SY450 ) )
| ( ( k1_group_1 @ SV74 @ SV149 @ SV180 )
= SY450 ) ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV149 @ ( u1_struct_0 @ SV74 ) )
= $false )
| ( ( v4_group_1 @ SV74 )
= $false )
| ( ( v3_struct_0 @ SV74 )
= $true )
| ( ( v3_group_1 @ SV74 )
= $false )
| ( ( l1_group_1 @ SV74 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7139]) ).
thf(7206,plain,
! [SV150: $i,SV75: $i] :
( ( ( ( k3_group_1 @ SV75 @ SV150 )
!= ( k2_group_1 @ SV75 ) )
= $true )
| ( ( SV150
= ( k2_group_1 @ SV75 ) )
= $true )
| ( ( m1_subset_1 @ SV150 @ ( u1_struct_0 @ SV75 ) )
= $false )
| ( ( v4_group_1 @ SV75 )
= $false )
| ( ( v3_struct_0 @ SV75 )
= $true )
| ( ( v3_group_1 @ SV75 )
= $false )
| ( ( l1_group_1 @ SV75 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7140]) ).
thf(7207,plain,
! [SV151: $i,SV77: $i,SV181: $i] :
( ( ( ~ ( m1_subset_1 @ SV181 @ ( u1_struct_0 @ SV77 ) )
| ~ ! [SY451: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY451 @ ( u1_struct_0 @ SV77 ) )
| ( ( k1_group_1 @ SV77 @ SY451 @ SV151 )
!= SV181 ) ) )
= $true )
| ( ( m1_subset_1 @ SV151 @ ( u1_struct_0 @ SV77 ) )
= $false )
| ( ( v4_group_1 @ SV77 )
= $false )
| ( ( v3_struct_0 @ SV77 )
= $true )
| ( ( v3_group_1 @ SV77 )
= $false )
| ( ( l1_group_1 @ SV77 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7141]) ).
thf(7208,plain,
! [SV2: $i,SV182: $i] :
( ( ( ~ ( m1_subset_1 @ SV182 @ ( u1_struct_0 @ SV2 ) )
| ! [SY452: $i] :
( ~ ( m1_subset_1 @ SY452 @ ( u1_struct_0 @ SV2 ) )
| ( ( k6_autgroup @ SV2 @ ( k1_group_1 @ SV2 @ SV182 @ SY452 ) )
= ( k7_funct_2 @ ( u1_struct_0 @ SV2 ) @ ( u1_struct_0 @ SV2 ) @ ( u1_struct_0 @ SV2 ) @ ( k6_autgroup @ SV2 @ SV182 ) @ ( k6_autgroup @ SV2 @ SY452 ) ) ) ) )
= $true )
| ( ( v4_group_1 @ SV2 )
= $false )
| ( ( v1_group_1 @ SV2 )
= $false )
| ( ( v3_struct_0 @ SV2 )
= $true )
| ( ( v3_group_1 @ SV2 )
= $false )
| ( ( l1_group_1 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7142]) ).
thf(7209,plain,
! [SV109: $i,SV3: $i,SV154: $i] :
( ( ( ~ ( m1_subset_1 @ SV154 @ ( u1_struct_0 @ SV3 ) ) )
= $true )
| ( ( ~ ( ( ( k1_group_1 @ SV3 @ SV109 @ SV154 )
= SV109 )
| ( ( k1_group_1 @ SV3 @ SV154 @ SV109 )
= SV109 ) )
| ( SV154
= ( k2_group_1 @ SV3 ) ) )
= $true )
| ( ( m1_subset_1 @ SV109 @ ( u1_struct_0 @ SV3 ) )
= $false )
| ( ( v4_group_1 @ SV3 )
= $false )
| ( ( v3_struct_0 @ SV3 )
= $true )
| ( ( v3_group_1 @ SV3 )
= $false )
| ( ( l1_group_1 @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7143]) ).
thf(7210,plain,
! [SV110: $i,SV4: $i,SV155: $i] :
( ( ( ~ ( m1_group_2 @ SV155 @ SV4 ) )
= $true )
| ( ( ( k2_group_1 @ SV110 )
= ( k2_group_1 @ SV155 ) )
= $true )
| ( ( m1_group_2 @ SV110 @ SV4 )
= $false )
| ( ( v4_group_1 @ SV4 )
= $false )
| ( ( v3_struct_0 @ SV4 )
= $true )
| ( ( v3_group_1 @ SV4 )
= $false )
| ( ( l1_group_1 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7144]) ).
thf(7211,plain,
! [SV111: $i,SV5: $i,SV156: $i] :
( ( ( ~ ( m1_subset_1 @ SV156 @ ( u1_struct_0 @ SV5 ) ) )
= $true )
| ( ( ~ ( ( ( k2_group_3 @ SV5 @ ( k2_group_3 @ SV5 @ SV111 @ SV156 ) @ ( k3_group_1 @ SV5 @ SV156 ) )
!= SV111 )
| ( ( k2_group_3 @ SV5 @ ( k2_group_3 @ SV5 @ SV111 @ ( k3_group_1 @ SV5 @ SV156 ) ) @ SV156 )
!= SV111 ) ) )
= $true )
| ( ( m1_subset_1 @ SV111 @ ( u1_struct_0 @ SV5 ) )
= $false )
| ( ( v4_group_1 @ SV5 )
= $false )
| ( ( v3_struct_0 @ SV5 )
= $true )
| ( ( v3_group_1 @ SV5 )
= $false )
| ( ( l1_group_1 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7145]) ).
thf(7212,plain,
! [SV113: $i,SV7: $i] :
( ( ( ( r2_group_3 @ SV7 @ SV113 @ ( k2_group_1 @ SV7 ) )
| ( r2_group_3 @ SV7 @ ( k2_group_1 @ SV7 ) @ SV113 ) )
= $false )
| ( ( SV113
= ( k2_group_1 @ SV7 ) )
= $true )
| ( ( m1_subset_1 @ SV113 @ ( u1_struct_0 @ SV7 ) )
= $false )
| ( ( v4_group_1 @ SV7 )
= $false )
| ( ( v3_struct_0 @ SV7 )
= $true )
| ( ( v3_group_1 @ SV7 )
= $false )
| ( ( l1_group_1 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7146]) ).
thf(7213,plain,
! [SV114: $i,SV8: $i,SV157: $i] :
( ( ( ~ ( m1_subset_1 @ SV157 @ ( u1_struct_0 @ SV8 ) ) )
= $true )
| ( ( ! [SY438: $i] :
( ~ ( m1_subset_1 @ SY438 @ ( u1_struct_0 @ SV8 ) )
| ~ ( ( ( k1_group_1 @ SV8 @ SV114 @ SV157 )
= ( k1_group_1 @ SV8 @ SV114 @ SY438 ) )
| ( ( k1_group_1 @ SV8 @ SV157 @ SV114 )
= ( k1_group_1 @ SV8 @ SY438 @ SV114 ) ) )
| ( SV157 = SY438 ) ) )
= $true )
| ( ( m1_subset_1 @ SV114 @ ( u1_struct_0 @ SV8 ) )
= $false )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7147]) ).
thf(7214,plain,
! [SV115: $i,SV10: $i,SV158: $i] :
( ( ( ~ ( m1_subset_1 @ SV158 @ ( u1_struct_0 @ SV10 ) ) )
= $true )
| ( ( ~ ( ~ ( ( ( k1_group_1 @ SV10 @ SV115 @ SV158 )
!= ( k1_group_1 @ SV10 @ SV158 @ SV115 ) )
| ( ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SV115 ) @ ( k3_group_1 @ SV10 @ SV158 ) )
= ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SV158 ) @ ( k3_group_1 @ SV10 @ SV115 ) ) ) )
| ~ ( ( ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SV115 ) @ ( k3_group_1 @ SV10 @ SV158 ) )
!= ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SV158 ) @ ( k3_group_1 @ SV10 @ SV115 ) ) )
| ( ( k1_group_1 @ SV10 @ SV115 @ SV158 )
= ( k1_group_1 @ SV10 @ SV158 @ SV115 ) ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV115 @ ( u1_struct_0 @ SV10 ) )
= $false )
| ( ( v4_group_1 @ SV10 )
= $false )
| ( ( v3_struct_0 @ SV10 )
= $true )
| ( ( v3_group_1 @ SV10 )
= $false )
| ( ( l1_group_1 @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7148]) ).
thf(7215,plain,
! [SV11: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k3_autgroup @ SV11 ) )
| ~ ( v1_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( v3_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( v4_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( l1_group_1 @ ( k3_autgroup @ SV11 ) ) )
= $false )
| ( ( v4_group_1 @ SV11 )
= $false )
| ( ( v1_group_1 @ SV11 )
= $false )
| ( ( v3_struct_0 @ SV11 )
= $true )
| ( ( v3_group_1 @ SV11 )
= $false )
| ( ( l1_group_1 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7149]) ).
thf(7216,plain,
! [SV116: $i,SV13: $i,SV159: $i] :
( ( ( ~ ( m1_subset_1 @ SV159 @ ( u1_struct_0 @ SV13 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ( ( k3_group_5 @ SV13 @ SV116 @ SV159 @ ( k2_group_1 @ SV13 ) )
!= ( k2_group_1 @ SV13 ) )
| ( ( k3_group_5 @ SV13 @ SV116 @ ( k2_group_1 @ SV13 ) @ SV159 )
!= ( k2_group_1 @ SV13 ) ) )
| ( ( k3_group_5 @ SV13 @ ( k2_group_1 @ SV13 ) @ SV116 @ SV159 )
!= ( k2_group_1 @ SV13 ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV116 @ ( u1_struct_0 @ SV13 ) )
= $false )
| ( ( v4_group_1 @ SV13 )
= $false )
| ( ( v3_struct_0 @ SV13 )
= $true )
| ( ( v3_group_1 @ SV13 )
= $false )
| ( ( l1_group_1 @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7150]) ).
thf(7217,plain,
! [SV117: $i,SV15: $i,SV160: $i] :
( ( ( ~ ( m1_subset_1 @ SV160 @ ( u1_struct_0 @ SV15 ) ) )
= $true )
| ( ( ( k2_group_3 @ SV15 @ ( k3_group_1 @ SV15 @ SV117 ) @ SV160 )
= ( k3_group_1 @ SV15 @ ( k2_group_3 @ SV15 @ SV117 @ SV160 ) ) )
= $true )
| ( ( m1_subset_1 @ SV117 @ ( u1_struct_0 @ SV15 ) )
= $false )
| ( ( v4_group_1 @ SV15 )
= $false )
| ( ( v3_struct_0 @ SV15 )
= $true )
| ( ( v3_group_1 @ SV15 )
= $false )
| ( ( l1_group_1 @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7151]) ).
thf(7218,plain,
! [SV16: $i,SV161: $i] :
( ( ( ~ ( m1_subset_1 @ SV161 @ ( u1_struct_0 @ SV16 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ( ( k1_group_1 @ SV16 @ SV161 @ ( sK19_SY243 @ SV16 ) )
!= SV161 )
| ( ( k1_group_1 @ SV16 @ ( sK19_SY243 @ SV16 ) @ SV161 )
!= SV161 ) )
| ~ ~ ! [SY439: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY439 @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ SV161 @ SY439 )
!= ( sK19_SY243 @ SV16 ) ) )
| ( ( k1_group_1 @ SV16 @ SY439 @ SV161 )
!= ( sK19_SY243 @ SV16 ) ) ) ) )
= $true )
| ( ( v3_group_1 @ SV16 )
= $false )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7152]) ).
thf(7219,plain,
! [SV16: $i,SV106: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK30_SY385 @ SV106 @ SV16 ) @ ( u1_struct_0 @ SV16 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV16 @ ( sK30_SY385 @ SV106 @ SV16 ) @ SV106 )
!= ( sK30_SY385 @ SV106 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ SV106 @ ( sK30_SY385 @ SV106 @ SV16 ) )
!= ( sK30_SY385 @ SV106 @ SV16 ) ) )
| ~ ~ ! [SY453: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY453 @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ ( sK30_SY385 @ SV106 @ SV16 ) @ SY453 )
!= SV106 ) )
| ( ( k1_group_1 @ SV16 @ SY453 @ ( sK30_SY385 @ SV106 @ SV16 ) )
!= SV106 ) ) ) )
= $false )
| ( ( m1_subset_1 @ SV106 @ ( u1_struct_0 @ SV16 ) )
= $false )
| ( ( v3_group_1 @ SV16 )
= $true )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[7153]) ).
thf(7220,plain,
! [SV118: $i,SV17: $i,SV162: $i] :
( ( ( ~ ( m1_subset_1 @ SV162 @ ( u1_struct_0 @ SV17 ) ) )
= $true )
| ( ( ( ( k2_group_3 @ SV17 @ SV118 @ SV162 )
!= ( k2_group_1 @ SV17 ) )
| ( SV118
= ( k2_group_1 @ SV17 ) ) )
= $true )
| ( ( m1_subset_1 @ SV118 @ ( u1_struct_0 @ SV17 ) )
= $false )
| ( ( v4_group_1 @ SV17 )
= $false )
| ( ( v3_struct_0 @ SV17 )
= $true )
| ( ( v3_group_1 @ SV17 )
= $false )
| ( ( l1_group_1 @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7154]) ).
thf(7221,plain,
! [SV92: $i,SV79: $i,SV19: $i] :
( ( ( v3_struct_0 @ SV19 )
= $true )
| ( ( ~ ( v3_group_1 @ SV19 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV19 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV19 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV79 @ ( u1_struct_0 @ SV19 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV92 @ ( u1_struct_0 @ SV19 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k2_group_3 @ SV19 @ SV79 @ SV92 ) @ ( u1_struct_0 @ SV19 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7155]) ).
thf(7222,plain,
! [SV120: $i,SV21: $i,SV163: $i] :
( ( ( ~ ( m1_subset_1 @ SV163 @ ( u1_struct_0 @ SV21 ) ) )
= $true )
| ( ( ! [SY440: $i] :
( ~ ( m1_subset_1 @ SY440 @ ( u1_struct_0 @ SV21 ) )
| ~ ~ ( ~ ( r2_group_3 @ SV21 @ SV120 @ SV163 )
| ~ ( r2_group_3 @ SV21 @ SV163 @ SY440 ) )
| ( r2_group_3 @ SV21 @ SV120 @ SY440 ) ) )
= $true )
| ( ( m1_subset_1 @ SV120 @ ( u1_struct_0 @ SV21 ) )
= $false )
| ( ( v4_group_1 @ SV21 )
= $false )
| ( ( v3_struct_0 @ SV21 )
= $true )
| ( ( v3_group_1 @ SV21 )
= $false )
| ( ( l1_group_1 @ SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7156]) ).
thf(7223,plain,
! [SV22: $i,SV183: $i] :
( ( ( ~ ~ ( ~ ( v1_group_1 @ SV183 )
| ~ ( m1_group_2 @ SV183 @ SV22 ) )
| ( ( u1_struct_0 @ SV183 )
!= ( u1_struct_0 @ SV22 ) )
| ( SV183 = SV22 ) )
= $true )
| ( ( v4_group_1 @ SV22 )
= $false )
| ( ( v1_group_1 @ SV22 )
= $false )
| ( ( v3_struct_0 @ SV22 )
= $true )
| ( ( v3_group_1 @ SV22 )
= $false )
| ( ( l1_group_1 @ SV22 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7157]) ).
thf(7224,plain,
! [SV121: $i,SV23: $i,SV164: $i] :
( ( ( ~ ( m1_subset_1 @ SV164 @ ( u1_struct_0 @ SV23 ) ) )
= $true )
| ( ( ~ ( ~ ( ( ( k1_group_1 @ SV23 @ SV121 @ SV164 )
!= ( k1_group_1 @ SV23 @ SV164 @ SV121 ) )
| ( ( k3_group_1 @ SV23 @ ( k1_group_1 @ SV23 @ SV121 @ SV164 ) )
= ( k1_group_1 @ SV23 @ ( k3_group_1 @ SV23 @ SV121 ) @ ( k3_group_1 @ SV23 @ SV164 ) ) ) )
| ~ ( ( ( k3_group_1 @ SV23 @ ( k1_group_1 @ SV23 @ SV121 @ SV164 ) )
!= ( k1_group_1 @ SV23 @ ( k3_group_1 @ SV23 @ SV121 ) @ ( k3_group_1 @ SV23 @ SV164 ) ) )
| ( ( k1_group_1 @ SV23 @ SV121 @ SV164 )
= ( k1_group_1 @ SV23 @ SV164 @ SV121 ) ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV121 @ ( u1_struct_0 @ SV23 ) )
= $false )
| ( ( v4_group_1 @ SV23 )
= $false )
| ( ( v3_struct_0 @ SV23 )
= $true )
| ( ( v3_group_1 @ SV23 )
= $false )
| ( ( l1_group_1 @ SV23 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7158]) ).
thf(7225,plain,
! [SV122: $i,SV24: $i] :
( ( ( ( k2_group_5 @ SV24 @ ( k2_group_1 @ SV24 ) @ SV122 )
!= ( k2_group_1 @ SV24 ) )
= $false )
| ( ( m1_subset_1 @ SV122 @ ( u1_struct_0 @ SV24 ) )
= $false )
| ( ( v4_group_1 @ SV24 )
= $false )
| ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( v3_group_1 @ SV24 )
= $false )
| ( ( l1_group_1 @ SV24 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7159]) ).
thf(7226,plain,
! [SV122: $i,SV24: $i] :
( ( ( ( k2_group_5 @ SV24 @ SV122 @ ( k2_group_1 @ SV24 ) )
!= ( k2_group_1 @ SV24 ) )
= $false )
| ( ( m1_subset_1 @ SV122 @ ( u1_struct_0 @ SV24 ) )
= $false )
| ( ( v4_group_1 @ SV24 )
= $false )
| ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( v3_group_1 @ SV24 )
= $false )
| ( ( l1_group_1 @ SV24 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7159]) ).
thf(7227,plain,
! [SV26: $i,SV123: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV123 )
| ~ ( v3_group_1 @ SV123 ) )
| ~ ( v4_group_1 @ SV123 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV123 ) )
= $true )
| ( ( ! [SY403: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY403 )
| ~ ( v3_group_1 @ SY403 ) )
| ~ ( v4_group_1 @ SY403 ) )
| ~ ( l1_group_1 @ SY403 ) )
| ~ ~ ( ~ ( m1_group_2 @ SV26 @ SV123 )
| ~ ( m1_group_2 @ SV123 @ SY403 ) )
| ( m1_group_2 @ SV26 @ SY403 ) ) )
= $true )
| ( ( v4_group_1 @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( v3_group_1 @ SV26 )
= $false )
| ( ( l1_group_1 @ SV26 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7160]) ).
thf(7228,plain,
! [SV28: $i] :
( ( ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ ( sK16_SY265 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( m1_subset_1 @ ( sK23_SY268 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7161]) ).
thf(7229,plain,
! [SV28: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK28_SY430 @ SV28 ) @ ( u1_struct_0 @ SV28 ) ) )
= $false )
| ( ( m1_subset_1 @ ( sK16_SY265 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7162]) ).
thf(7230,plain,
! [SV28: $i] :
( ( ( ~ ( ~ ~ ! [SY441: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY441 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ ( sK23_SY268 @ SV28 ) @ SY441 )
!= ( sK28_SY430 @ SV28 ) ) )
| ~ ~ ! [SY442: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY442 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY442 @ ( sK23_SY268 @ SV28 ) )
!= ( sK28_SY430 @ SV28 ) ) ) ) )
= $false )
| ( ( m1_subset_1 @ ( sK16_SY265 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7162]) ).
thf(7231,plain,
! [SV28: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK29_SY268 @ SV28 ) @ ( u1_struct_0 @ SV28 ) ) )
= $false )
| ( ( m1_subset_1 @ ( sK21_SY377 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7163]) ).
thf(7232,plain,
! [SV28: $i] :
( ( ( ! [SY443: $i] :
( ~ ( m1_subset_1 @ SY443 @ ( u1_struct_0 @ SV28 ) )
| ~ ( ~ ~ ! [SY444: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY444 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ ( sK29_SY268 @ SV28 ) @ SY444 )
!= SY443 ) )
| ~ ~ ! [SY445: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY445 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY445 @ ( sK29_SY268 @ SV28 ) )
!= SY443 ) ) ) ) )
= $false )
| ( ( m1_subset_1 @ ( sK21_SY377 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7163]) ).
thf(7233,plain,
! [SV28: $i] :
( ( ( ! [SY268: $i] :
( ~ ( m1_subset_1 @ SY268 @ ( u1_struct_0 @ SV28 ) )
| ! [SY269: $i] :
( ~ ( m1_subset_1 @ SY269 @ ( u1_struct_0 @ SV28 ) )
| ~ ( ~ ~ ! [SY270: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY270 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY268 @ SY270 )
!= SY269 ) )
| ~ ~ ! [SY271: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY271 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY271 @ SY268 )
!= SY269 ) ) ) ) ) )
= $false )
| ( ( m1_subset_1 @ ( sK24_SY389 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7164]) ).
thf(7234,plain,
! [SV28: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK31_SY268 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
| ! [SY454: $i] :
( ~ ( m1_subset_1 @ SY454 @ ( u1_struct_0 @ SV28 ) )
| ~ ( ~ ~ ! [SY455: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY455 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ ( sK31_SY268 @ SV28 ) @ SY455 )
!= SY454 ) )
| ~ ~ ! [SY456: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY456 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY456 @ ( sK31_SY268 @ SV28 ) )
!= SY454 ) ) ) ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( sK21_SY377 @ SV28 ) ) @ ( sK24_SY389 @ SV28 ) )
= ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( k1_group_1 @ SV28 @ ( sK21_SY377 @ SV28 ) @ ( sK24_SY389 @ SV28 ) ) ) )
= $false )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[7165]) ).
thf(7235,plain,
! [SV93: $i,SV81: $i,SV29: $i] :
( ( ( v3_struct_0 @ SV29 )
= $true )
| ( ( ~ ( v3_group_1 @ SV29 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV29 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV29 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV81 @ ( u1_struct_0 @ SV29 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV93 @ ( u1_struct_0 @ SV29 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k2_group_5 @ SV29 @ SV81 @ SV93 ) @ ( u1_struct_0 @ SV29 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7166]) ).
thf(7236,plain,
! [SV94: $i,SV82: $i,SV30: $i] :
( ( ( v3_struct_0 @ SV30 )
= $true )
| ( ( ~ ( v3_group_1 @ SV30 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV30 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV30 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV82 @ ( u1_struct_0 @ SV30 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV94 @ ( u1_struct_0 @ SV30 ) ) )
= $true )
| ( ( r2_group_3 @ SV30 @ SV82 @ SV82 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7167]) ).
thf(7237,plain,
! [SV124: $i,SV31: $i,SV165: $i] :
( ( ( ~ ( m1_subset_1 @ SV165 @ ( u1_struct_0 @ SV31 ) ) )
= $true )
| ( ( ( ( k3_group_1 @ SV31 @ SV124 )
!= ( k3_group_1 @ SV31 @ SV165 ) )
| ( SV124 = SV165 ) )
= $true )
| ( ( m1_subset_1 @ SV124 @ ( u1_struct_0 @ SV31 ) )
= $false )
| ( ( v4_group_1 @ SV31 )
= $false )
| ( ( v3_struct_0 @ SV31 )
= $true )
| ( ( v3_group_1 @ SV31 )
= $false )
| ( ( l1_group_1 @ SV31 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7168]) ).
thf(7238,plain,
! [SV125: $i,SV32: $i] :
( ( ( ( k2_group_5 @ SV32 @ SV125 @ ( k3_group_1 @ SV32 @ SV125 ) )
!= ( k2_group_1 @ SV32 ) )
= $false )
| ( ( m1_subset_1 @ SV125 @ ( u1_struct_0 @ SV32 ) )
= $false )
| ( ( v4_group_1 @ SV32 )
= $false )
| ( ( v3_struct_0 @ SV32 )
= $true )
| ( ( v3_group_1 @ SV32 )
= $false )
| ( ( l1_group_1 @ SV32 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7169]) ).
thf(7239,plain,
! [SV125: $i,SV32: $i] :
( ( ( ( k2_group_5 @ SV32 @ ( k3_group_1 @ SV32 @ SV125 ) @ SV125 )
!= ( k2_group_1 @ SV32 ) )
= $false )
| ( ( m1_subset_1 @ SV125 @ ( u1_struct_0 @ SV32 ) )
= $false )
| ( ( v4_group_1 @ SV32 )
= $false )
| ( ( v3_struct_0 @ SV32 )
= $true )
| ( ( v3_group_1 @ SV32 )
= $false )
| ( ( l1_group_1 @ SV32 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7169]) ).
thf(7240,plain,
! [SV126: $i,SV33: $i,SV166: $i] :
( ( ( ~ ( m1_subset_1 @ SV166 @ ( u1_struct_0 @ SV33 ) ) )
= $true )
| ( ( ! [SY446: $i] :
( ~ ( m1_subset_1 @ SY446 @ ( u1_struct_0 @ SV33 ) )
| ( ( k2_group_3 @ SV33 @ SV126 @ SV166 )
!= ( k2_group_3 @ SV33 @ SY446 @ SV166 ) )
| ( SV126 = SY446 ) ) )
= $true )
| ( ( m1_subset_1 @ SV126 @ ( u1_struct_0 @ SV33 ) )
= $false )
| ( ( v4_group_1 @ SV33 )
= $false )
| ( ( v3_struct_0 @ SV33 )
= $true )
| ( ( v3_group_1 @ SV33 )
= $false )
| ( ( l1_group_1 @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7170]) ).
thf(7241,plain,
! [SV127: $i,SV34: $i,SV167: $i] :
( ( ( ~ ( m1_subset_1 @ SV167 @ ( u1_struct_0 @ SV34 ) ) )
= $true )
| ( ( ~ ( ( ( k1_group_1 @ SV34 @ SV127 @ SV167 )
= ( k2_group_1 @ SV34 ) )
| ( ( k1_group_1 @ SV34 @ SV167 @ SV127 )
= ( k2_group_1 @ SV34 ) ) )
| ~ ( ( SV127
!= ( k3_group_1 @ SV34 @ SV167 ) )
| ( SV167
!= ( k3_group_1 @ SV34 @ SV127 ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV127 @ ( u1_struct_0 @ SV34 ) )
= $false )
| ( ( v4_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7171]) ).
thf(7242,plain,
! [SV83: $i,SV35: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV35 )
| ~ ( v3_group_1 @ SV35 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV35 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV35 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV83 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV83 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV83 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV83 ) )
= $true )
| ( ( r1_group_6 @ SV35 @ SV35 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7172]) ).
thf(7243,plain,
! [SV128: $i,SV36: $i,SV168: $i] :
( ( ( ~ ( m1_subset_1 @ SV168 @ ( u1_struct_0 @ SV36 ) ) )
= $true )
| ( ( ! [SY447: $i] :
( ~ ( m1_subset_1 @ SY447 @ ( u1_struct_0 @ SV36 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV36 @ SV128 @ SV168 )
!= SY447 )
| ( SV128
= ( k1_group_1 @ SV36 @ SY447 @ ( k3_group_1 @ SV36 @ SV168 ) ) ) )
| ~ ( ( SV128
!= ( k1_group_1 @ SV36 @ SY447 @ ( k3_group_1 @ SV36 @ SV168 ) ) )
| ( ( k1_group_1 @ SV36 @ SV128 @ SV168 )
= SY447 ) ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV128 @ ( u1_struct_0 @ SV36 ) )
= $false )
| ( ( v4_group_1 @ SV36 )
= $false )
| ( ( v3_struct_0 @ SV36 )
= $true )
| ( ( v3_group_1 @ SV36 )
= $false )
| ( ( l1_group_1 @ SV36 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7173]) ).
thf(7244,plain,
! [SV38: $i,SV103: $i] :
( ( ( ~ ( v3_struct_0 @ SV103 ) )
= $true )
| ( ( m1_group_2 @ SV103 @ SV38 )
= $false )
| ( ( v3_group_1 @ SV38 )
= $false )
| ( ( v3_struct_0 @ SV38 )
= $true )
| ( ( l1_group_1 @ SV38 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7174]) ).
thf(7245,plain,
! [SV38: $i,SV103: $i] :
( ( ( v3_group_1 @ SV103 )
= $true )
| ( ( m1_group_2 @ SV103 @ SV38 )
= $false )
| ( ( v3_group_1 @ SV38 )
= $false )
| ( ( v3_struct_0 @ SV38 )
= $true )
| ( ( l1_group_1 @ SV38 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7175]) ).
thf(7246,plain,
! [SV130: $i,SV41: $i,SV169: $i] :
( ( ( ~ ( m1_subset_1 @ SV169 @ ( u1_struct_0 @ SV41 ) ) )
= $true )
| ( ( ( k3_group_1 @ SV41 @ ( k2_group_5 @ SV41 @ SV130 @ SV169 ) )
= ( k2_group_5 @ SV41 @ SV169 @ SV130 ) )
= $true )
| ( ( m1_subset_1 @ SV130 @ ( u1_struct_0 @ SV41 ) )
= $false )
| ( ( v4_group_1 @ SV41 )
= $false )
| ( ( v3_struct_0 @ SV41 )
= $true )
| ( ( v3_group_1 @ SV41 )
= $false )
| ( ( l1_group_1 @ SV41 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7176]) ).
thf(7247,plain,
! [SV131: $i,SV42: $i,SV170: $i] :
( ( ( ~ ( m1_subset_1 @ SV170 @ ( u1_struct_0 @ SV42 ) ) )
= $true )
| ( ( ( k3_group_5 @ SV42 @ SV131 @ SV131 @ SV170 )
= ( k2_group_1 @ SV42 ) )
= $true )
| ( ( m1_subset_1 @ SV131 @ ( u1_struct_0 @ SV42 ) )
= $false )
| ( ( v4_group_1 @ SV42 )
= $false )
| ( ( v3_struct_0 @ SV42 )
= $true )
| ( ( v3_group_1 @ SV42 )
= $false )
| ( ( l1_group_1 @ SV42 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7177]) ).
thf(7248,plain,
! [SV104: $i,SV43: $i] :
( ( ( ( k1_group_1 @ SV43 @ ( sK25_SY375 @ SV104 @ SV43 ) @ SV104 )
!= ( sK25_SY375 @ SV104 @ SV43 ) )
= $true )
| ( ( ( k1_group_1 @ SV43 @ SV104 @ ( sK25_SY375 @ SV104 @ SV43 ) )
!= ( sK25_SY375 @ SV104 @ SV43 ) )
= $true )
| ( ( SV104
= ( k2_group_1 @ SV43 ) )
= $true )
| ( ( m1_subset_1 @ SV104 @ ( u1_struct_0 @ SV43 ) )
= $false )
| ( ( v3_group_1 @ SV43 )
= $false )
| ( ( v3_struct_0 @ SV43 )
= $true )
| ( ( l1_group_1 @ SV43 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7179]) ).
thf(7249,plain,
! [SV132: $i,SV105: $i,SV44: $i,SV171: $i] :
( ( ( ~ ( m1_subset_1 @ SV171 @ ( u1_struct_0 @ SV44 ) ) )
= $true )
| ( ( ( k1_group_1 @ SV44 @ ( k1_group_1 @ SV44 @ SV105 @ SV132 ) @ SV171 )
= ( k1_group_1 @ SV44 @ SV105 @ ( k1_group_1 @ SV44 @ SV132 @ SV171 ) ) )
= $true )
| ( ( m1_subset_1 @ SV132 @ ( u1_struct_0 @ SV44 ) )
= $false )
| ( ( m1_subset_1 @ SV105 @ ( u1_struct_0 @ SV44 ) )
= $false )
| ( ( v4_group_1 @ SV44 )
= $false )
| ( ( v3_struct_0 @ SV44 )
= $true )
| ( ( l1_group_1 @ SV44 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7180]) ).
thf(7250,plain,
! [SV133: $i,SV45: $i,SV172: $i] :
( ( ( ~ ( m1_subset_1 @ SV172 @ ( u1_struct_0 @ SV45 ) ) )
= $true )
| ( ( ( k3_group_1 @ SV45 @ ( k1_group_1 @ SV45 @ SV133 @ SV172 ) )
= ( k1_group_1 @ SV45 @ ( k3_group_1 @ SV45 @ SV172 ) @ ( k3_group_1 @ SV45 @ SV133 ) ) )
= $true )
| ( ( m1_subset_1 @ SV133 @ ( u1_struct_0 @ SV45 ) )
= $false )
| ( ( v4_group_1 @ SV45 )
= $false )
| ( ( v3_struct_0 @ SV45 )
= $true )
| ( ( v3_group_1 @ SV45 )
= $false )
| ( ( l1_group_1 @ SV45 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7182]) ).
thf(7251,plain,
! [SV98: $i,SV95: $i,SV84: $i,SV47: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV47 )
| ~ ( v3_group_1 @ SV47 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV47 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV47 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV84 @ ( u1_struct_0 @ SV47 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV95 @ ( u1_struct_0 @ SV47 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV98 @ ( u1_struct_0 @ SV47 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k3_group_5 @ SV47 @ SV84 @ SV95 @ SV98 ) @ ( u1_struct_0 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7184]) ).
thf(7252,plain,
! [SV48: $i,SV134: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV134 )
| ~ ( v3_group_1 @ SV134 ) )
| ~ ( v4_group_1 @ SV134 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV134 ) )
= $true )
| ( ( ! [SY414: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY414 )
| ~ ( v3_group_1 @ SY414 ) )
| ~ ( v4_group_1 @ SY414 ) )
| ~ ( l1_group_1 @ SY414 ) )
| ~ ~ ( ~ ( r1_group_6 @ SV48 @ SV134 )
| ~ ( r1_group_6 @ SV134 @ SY414 ) )
| ( r1_group_6 @ SV48 @ SY414 ) ) )
= $true )
| ( ( v4_group_1 @ SV48 )
= $false )
| ( ( v3_struct_0 @ SV48 )
= $true )
| ( ( v3_group_1 @ SV48 )
= $false )
| ( ( l1_group_1 @ SV48 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7185]) ).
thf(7253,plain,
! [SV49: $i,SV85: $i] :
( ( ( m1_subset_1 @ SV85 @ ( u1_struct_0 @ SV49 ) )
= $false )
| ( ( v4_group_1 @ SV49 )
= $false )
| ( ( v3_struct_0 @ SV49 )
= $true )
| ( ( v3_group_1 @ SV49 )
= $false )
| ( ( l1_group_1 @ SV49 )
= $false )
| ( ( m1_subset_1 @ ( k3_group_1 @ SV49 @ SV85 ) @ ( u1_struct_0 @ SV49 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7186]) ).
thf(7254,plain,
! [SV96: $i,SV86: $i,SV51: $i] :
( ( ( v3_struct_0 @ SV51 )
= $true )
| ( ( ~ ( v3_group_1 @ SV51 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV51 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV51 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV86 @ ( u1_struct_0 @ SV51 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV96 @ ( u1_struct_0 @ SV51 ) ) )
= $true )
| ( ( ~ ( r2_group_3 @ SV51 @ SV86 @ SV96 )
| ( r2_group_3 @ SV51 @ SV96 @ SV86 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7187]) ).
thf(7255,plain,
! [SV52: $i,SV184: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV184 )
| ~ ( v1_group_1 @ SV184 ) )
| ~ ( v3_group_1 @ SV184 ) )
| ~ ( v4_group_1 @ SV184 ) )
| ~ ( l1_group_1 @ SV184 ) )
| ~ ( r1_group_6 @ SV52 @ SV184 )
| ( r1_group_6 @ SV184 @ SV52 ) )
= $true )
| ( ( v4_group_1 @ SV52 )
= $false )
| ( ( v1_group_1 @ SV52 )
= $false )
| ( ( v3_struct_0 @ SV52 )
= $true )
| ( ( v3_group_1 @ SV52 )
= $false )
| ( ( l1_group_1 @ SV52 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7188]) ).
thf(7256,plain,
! [SV136: $i,SV54: $i,SV173: $i] :
( ( ( ~ ( m1_subset_1 @ SV173 @ ( u1_struct_0 @ SV54 ) ) )
= $true )
| ( ( ~ ( ~ ( ( ( k1_group_1 @ SV54 @ SV136 @ SV173 )
!= ( k1_group_1 @ SV54 @ SV173 @ SV136 ) )
| ( ( k1_group_1 @ SV54 @ SV136 @ ( k3_group_1 @ SV54 @ SV173 ) )
= ( k1_group_1 @ SV54 @ ( k3_group_1 @ SV54 @ SV173 ) @ SV136 ) ) )
| ~ ( ( ( k1_group_1 @ SV54 @ SV136 @ ( k3_group_1 @ SV54 @ SV173 ) )
!= ( k1_group_1 @ SV54 @ ( k3_group_1 @ SV54 @ SV173 ) @ SV136 ) )
| ( ( k1_group_1 @ SV54 @ SV136 @ SV173 )
= ( k1_group_1 @ SV54 @ SV173 @ SV136 ) ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV136 @ ( u1_struct_0 @ SV54 ) )
= $false )
| ( ( v4_group_1 @ SV54 )
= $false )
| ( ( v3_struct_0 @ SV54 )
= $true )
| ( ( v3_group_1 @ SV54 )
= $false )
| ( ( l1_group_1 @ SV54 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7189]) ).
thf(7257,plain,
! [SV137: $i,SV55: $i,SV174: $i] :
( ( ( ~ ( m1_group_2 @ SV174 @ SV55 ) )
= $true )
| ( ( ! [SY448: $i] :
( ~ ( m1_subset_1 @ SY448 @ ( u1_struct_0 @ SV174 ) )
| ( SY448 != SV137 )
| ( ( k3_group_1 @ SV174 @ SY448 )
= ( k3_group_1 @ SV55 @ SV137 ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV137 @ ( u1_struct_0 @ SV55 ) )
= $false )
| ( ( v4_group_1 @ SV55 )
= $false )
| ( ( v3_struct_0 @ SV55 )
= $true )
| ( ( v3_group_1 @ SV55 )
= $false )
| ( ( l1_group_1 @ SV55 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7190]) ).
thf(7258,plain,
! [SV138: $i,SV56: $i,SV175: $i] :
( ( ( ~ ( m1_subset_1 @ SV175 @ ( u1_struct_0 @ SV56 ) ) )
= $true )
| ( ( ~ ~ ( ( ( k1_group_1 @ SV56 @ SV138 @ SV175 )
!= ( k2_group_1 @ SV56 ) )
| ( ( k1_group_1 @ SV56 @ SV175 @ SV138 )
!= ( k2_group_1 @ SV56 ) ) )
| ( SV175
= ( k3_group_1 @ SV56 @ SV138 ) ) )
= $true )
| ( ( m1_subset_1 @ SV138 @ ( u1_struct_0 @ SV56 ) )
= $false )
| ( ( v4_group_1 @ SV56 )
= $false )
| ( ( v3_struct_0 @ SV56 )
= $true )
| ( ( v3_group_1 @ SV56 )
= $false )
| ( ( l1_group_1 @ SV56 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7191]) ).
thf(7259,plain,
! [SV140: $i,SV59: $i,SV176: $i] :
( ( ( ~ ( m1_subset_1 @ SV176 @ ( u1_struct_0 @ SV59 ) ) )
= $true )
| ( ( ~ ! [SY449: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY449 @ ( u1_struct_0 @ SV59 ) )
| ( ( k1_group_1 @ SV59 @ SV140 @ SY449 )
!= SV176 ) ) )
= $true )
| ( ( m1_subset_1 @ SV140 @ ( u1_struct_0 @ SV59 ) )
= $false )
| ( ( v4_group_1 @ SV59 )
= $false )
| ( ( v3_struct_0 @ SV59 )
= $true )
| ( ( v3_group_1 @ SV59 )
= $false )
| ( ( l1_group_1 @ SV59 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7192]) ).
thf(7260,plain,
! [SV141: $i,SV60: $i,SV177: $i] :
( ( ( ~ ( m1_subset_1 @ SV177 @ ( u1_struct_0 @ SV60 ) ) )
= $true )
| ( ( ~ ( ~ ( ( SV177
!= ( k3_group_1 @ SV60 @ SV141 ) )
| ~ ( ( ( k1_group_1 @ SV60 @ SV141 @ SV177 )
!= ( k2_group_1 @ SV60 ) )
| ( ( k1_group_1 @ SV60 @ SV177 @ SV141 )
!= ( k2_group_1 @ SV60 ) ) ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV60 @ SV141 @ SV177 )
!= ( k2_group_1 @ SV60 ) )
| ( ( k1_group_1 @ SV60 @ SV177 @ SV141 )
!= ( k2_group_1 @ SV60 ) ) )
| ( SV177
= ( k3_group_1 @ SV60 @ SV141 ) ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV141 @ ( u1_struct_0 @ SV60 ) )
= $false )
| ( ( v4_group_1 @ SV60 )
= $false )
| ( ( v3_struct_0 @ SV60 )
= $true )
| ( ( v3_group_1 @ SV60 )
= $false )
| ( ( l1_group_1 @ SV60 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7193]) ).
thf(7261,plain,
! [SV87: $i,SV61: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV61 )
| ~ ( v1_group_1 @ SV61 ) )
| ~ ( v3_group_1 @ SV61 ) )
| ~ ( v4_group_1 @ SV61 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV61 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV87 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( r2_group_6 @ SV61 @ SV87 )
| ( r2_group_6 @ SV87 @ SV61 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7194]) ).
thf(7262,plain,
! [SV62: $i,SV185: $i] :
( ( ( ~ ( m1_subset_1 @ SV185 @ ( u1_struct_0 @ SV62 ) )
| ( ( k8_funct_2 @ ( u1_struct_0 @ SV62 ) @ ( u1_struct_0 @ SV62 ) @ ( k6_autgroup @ SV62 @ ( k2_group_1 @ SV62 ) ) @ SV185 )
= SV185 ) )
= $true )
| ( ( v4_group_1 @ SV62 )
= $false )
| ( ( v1_group_1 @ SV62 )
= $false )
| ( ( v3_struct_0 @ SV62 )
= $true )
| ( ( v3_group_1 @ SV62 )
= $false )
| ( ( l1_group_1 @ SV62 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7195]) ).
thf(7263,plain,
! [SV143: $i,SV66: $i,SV178: $i] :
( ( ( ~ ( m1_subset_1 @ SV178 @ ( u1_struct_0 @ SV66 ) ) )
= $true )
| ( ( ~ ( r1_group_3 @ SV66 @ SV143 @ SV178 )
| ( r1_group_3 @ SV66 @ SV178 @ SV143 ) )
= $true )
| ( ( m1_subset_1 @ SV143 @ ( u1_struct_0 @ SV66 ) )
= $false )
| ( ( v4_group_1 @ SV66 )
= $false )
| ( ( v3_struct_0 @ SV66 )
= $true )
| ( ( v3_group_1 @ SV66 )
= $false )
| ( ( l1_group_1 @ SV66 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7196]) ).
thf(7264,plain,
! [SV70: $i,SV107: $i] :
( ( ( m1_subset_1 @ ( sK27_SY387 @ SV107 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( m1_subset_1 @ SV107 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK14_SY342 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7197]) ).
thf(7265,plain,
! [SV107: $i,SV70: $i] :
( ( ( ~ ~ ( ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SV107 )
!= ( sK27_SY387 @ SV107 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ SV107 @ ( sK27_SY387 @ SV107 @ SV70 ) )
!= ( sK27_SY387 @ SV107 @ SV70 ) ) )
| ~ ~ ! [SY435: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY435 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SY435 )
!= SV107 ) )
| ( ( k1_group_1 @ SV70 @ SY435 @ ( sK27_SY387 @ SV107 @ SV70 ) )
!= SV107 ) ) )
= $true )
| ( ( m1_subset_1 @ SV107 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK14_SY342 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7198]) ).
thf(7266,plain,
! [SV70: $i,SV146: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK32_SY423 @ SV146 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SV146 )
!= ( sK32_SY423 @ SV146 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ SV146 @ ( sK32_SY423 @ SV146 @ SV70 ) )
!= ( sK32_SY423 @ SV146 @ SV70 ) ) )
| ~ ~ ! [SY457: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY457 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SY457 )
!= SV146 ) )
| ( ( k1_group_1 @ SV70 @ SY457 @ ( sK32_SY423 @ SV146 @ SV70 ) )
!= SV146 ) ) ) )
= $false )
| ( ( m1_subset_1 @ SV146 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK15_SY372 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[7199]) ).
thf(7267,plain,
! [SV70: $i,SV153: $i] :
( ( ( m1_subset_1 @ SV153 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ! [SY436: $i] :
( ~ ( m1_subset_1 @ SY436 @ ( u1_struct_0 @ SV70 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV70 @ SY436 @ SV153 )
!= SY436 )
| ( ( k1_group_1 @ SV70 @ SV153 @ SY436 )
!= SY436 ) )
| ~ ~ ! [SY437: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY437 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ SY436 @ SY437 )
!= SV153 ) )
| ( ( k1_group_1 @ SV70 @ SY437 @ SY436 )
!= SV153 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK20_SY376 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7200]) ).
thf(7268,plain,
! [SV152: $i,SV70: $i] :
( ( ( ! [SY433: $i] :
( ~ ( m1_subset_1 @ SY433 @ ( u1_struct_0 @ SV70 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV70 @ SY433 @ SV152 )
!= SY433 )
| ( ( k1_group_1 @ SV70 @ SV152 @ SY433 )
!= SY433 ) )
| ~ ~ ! [SY434: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY434 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ SY433 @ SY434 )
!= SV152 ) )
| ( ( k1_group_1 @ SV70 @ SY434 @ SY433 )
!= SV152 ) ) ) ) )
= $false )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( sK15_SY372 @ SV70 ) ) @ ( sK20_SY376 @ SV70 ) )
= ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( k1_group_1 @ SV70 @ ( sK15_SY372 @ SV70 ) @ ( sK20_SY376 @ SV70 ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7201]) ).
thf(7269,plain,
! [SV147: $i,SV71: $i,SV179: $i] :
( ( ( ~ ( m1_subset_1 @ SV179 @ ( u1_struct_0 @ SV71 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV147 @ SV179 ) @ ( k3_group_1 @ SV71 @ SV179 ) )
!= SV147 )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV147 @ ( k3_group_1 @ SV71 @ SV179 ) ) @ SV179 )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SV179 ) @ SV179 ) @ SV147 )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV179 @ ( k3_group_1 @ SV71 @ SV179 ) ) @ SV147 )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ SV147 @ ( k1_group_1 @ SV71 @ SV179 @ ( k3_group_1 @ SV71 @ SV179 ) ) )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ SV147 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SV179 ) @ SV179 ) )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SV179 ) @ ( k1_group_1 @ SV71 @ SV179 @ SV147 ) )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ SV179 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SV179 ) @ SV147 ) )
!= SV147 ) ) )
= $true )
| ( ( m1_subset_1 @ SV147 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( v4_group_1 @ SV71 )
= $false )
| ( ( v3_struct_0 @ SV71 )
= $true )
| ( ( v3_group_1 @ SV71 )
= $false )
| ( ( l1_group_1 @ SV71 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7202]) ).
thf(7270,plain,
! [SV91: $i,SV72: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV72 )
| ~ ( v1_group_1 @ SV72 ) )
| ~ ( v3_group_1 @ SV72 ) )
| ~ ( v4_group_1 @ SV72 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV72 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV91 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV91 ) )
= $true )
| ( ( r2_group_6 @ SV72 @ SV72 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7203]) ).
thf(7271,plain,
! [SV148: $i,SV73: $i] :
( ( ( ( k2_group_3 @ SV73 @ SV148 @ ( k3_group_1 @ SV73 @ SV148 ) )
!= SV148 )
= $false )
| ( ( m1_subset_1 @ SV148 @ ( u1_struct_0 @ SV73 ) )
= $false )
| ( ( v4_group_1 @ SV73 )
= $false )
| ( ( v3_struct_0 @ SV73 )
= $true )
| ( ( v3_group_1 @ SV73 )
= $false )
| ( ( l1_group_1 @ SV73 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7204]) ).
thf(7272,plain,
! [SV148: $i,SV73: $i] :
( ( ( ( k2_group_3 @ SV73 @ ( k3_group_1 @ SV73 @ SV148 ) @ SV148 )
!= ( k3_group_1 @ SV73 @ SV148 ) )
= $false )
| ( ( m1_subset_1 @ SV148 @ ( u1_struct_0 @ SV73 ) )
= $false )
| ( ( v4_group_1 @ SV73 )
= $false )
| ( ( v3_struct_0 @ SV73 )
= $true )
| ( ( v3_group_1 @ SV73 )
= $false )
| ( ( l1_group_1 @ SV73 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7204]) ).
thf(7273,plain,
! [SV149: $i,SV74: $i,SV180: $i] :
( ( ( ~ ( m1_subset_1 @ SV180 @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ! [SY450: $i] :
( ~ ( m1_subset_1 @ SY450 @ ( u1_struct_0 @ SV74 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV74 @ SV149 @ SV180 )
!= SY450 )
| ( SV180
= ( k1_group_1 @ SV74 @ ( k3_group_1 @ SV74 @ SV149 ) @ SY450 ) ) )
| ~ ( ( SV180
!= ( k1_group_1 @ SV74 @ ( k3_group_1 @ SV74 @ SV149 ) @ SY450 ) )
| ( ( k1_group_1 @ SV74 @ SV149 @ SV180 )
= SY450 ) ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV149 @ ( u1_struct_0 @ SV74 ) )
= $false )
| ( ( v4_group_1 @ SV74 )
= $false )
| ( ( v3_struct_0 @ SV74 )
= $true )
| ( ( v3_group_1 @ SV74 )
= $false )
| ( ( l1_group_1 @ SV74 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7205]) ).
thf(7274,plain,
! [SV150: $i,SV75: $i] :
( ( ( ( k3_group_1 @ SV75 @ SV150 )
= ( k2_group_1 @ SV75 ) )
= $false )
| ( ( SV150
= ( k2_group_1 @ SV75 ) )
= $true )
| ( ( m1_subset_1 @ SV150 @ ( u1_struct_0 @ SV75 ) )
= $false )
| ( ( v4_group_1 @ SV75 )
= $false )
| ( ( v3_struct_0 @ SV75 )
= $true )
| ( ( v3_group_1 @ SV75 )
= $false )
| ( ( l1_group_1 @ SV75 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7206]) ).
thf(7275,plain,
! [SV151: $i,SV77: $i,SV181: $i] :
( ( ( ~ ( m1_subset_1 @ SV181 @ ( u1_struct_0 @ SV77 ) ) )
= $true )
| ( ( ~ ! [SY451: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY451 @ ( u1_struct_0 @ SV77 ) )
| ( ( k1_group_1 @ SV77 @ SY451 @ SV151 )
!= SV181 ) ) )
= $true )
| ( ( m1_subset_1 @ SV151 @ ( u1_struct_0 @ SV77 ) )
= $false )
| ( ( v4_group_1 @ SV77 )
= $false )
| ( ( v3_struct_0 @ SV77 )
= $true )
| ( ( v3_group_1 @ SV77 )
= $false )
| ( ( l1_group_1 @ SV77 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7207]) ).
thf(7276,plain,
! [SV2: $i,SV182: $i] :
( ( ( ~ ( m1_subset_1 @ SV182 @ ( u1_struct_0 @ SV2 ) ) )
= $true )
| ( ( ! [SY452: $i] :
( ~ ( m1_subset_1 @ SY452 @ ( u1_struct_0 @ SV2 ) )
| ( ( k6_autgroup @ SV2 @ ( k1_group_1 @ SV2 @ SV182 @ SY452 ) )
= ( k7_funct_2 @ ( u1_struct_0 @ SV2 ) @ ( u1_struct_0 @ SV2 ) @ ( u1_struct_0 @ SV2 ) @ ( k6_autgroup @ SV2 @ SV182 ) @ ( k6_autgroup @ SV2 @ SY452 ) ) ) ) )
= $true )
| ( ( v4_group_1 @ SV2 )
= $false )
| ( ( v1_group_1 @ SV2 )
= $false )
| ( ( v3_struct_0 @ SV2 )
= $true )
| ( ( v3_group_1 @ SV2 )
= $false )
| ( ( l1_group_1 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7208]) ).
thf(7277,plain,
! [SV109: $i,SV3: $i,SV154: $i] :
( ( ( m1_subset_1 @ SV154 @ ( u1_struct_0 @ SV3 ) )
= $false )
| ( ( ~ ( ( ( k1_group_1 @ SV3 @ SV109 @ SV154 )
= SV109 )
| ( ( k1_group_1 @ SV3 @ SV154 @ SV109 )
= SV109 ) )
| ( SV154
= ( k2_group_1 @ SV3 ) ) )
= $true )
| ( ( m1_subset_1 @ SV109 @ ( u1_struct_0 @ SV3 ) )
= $false )
| ( ( v4_group_1 @ SV3 )
= $false )
| ( ( v3_struct_0 @ SV3 )
= $true )
| ( ( v3_group_1 @ SV3 )
= $false )
| ( ( l1_group_1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7209]) ).
thf(7278,plain,
! [SV110: $i,SV4: $i,SV155: $i] :
( ( ( m1_group_2 @ SV155 @ SV4 )
= $false )
| ( ( ( k2_group_1 @ SV110 )
= ( k2_group_1 @ SV155 ) )
= $true )
| ( ( m1_group_2 @ SV110 @ SV4 )
= $false )
| ( ( v4_group_1 @ SV4 )
= $false )
| ( ( v3_struct_0 @ SV4 )
= $true )
| ( ( v3_group_1 @ SV4 )
= $false )
| ( ( l1_group_1 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7210]) ).
thf(7279,plain,
! [SV111: $i,SV5: $i,SV156: $i] :
( ( ( m1_subset_1 @ SV156 @ ( u1_struct_0 @ SV5 ) )
= $false )
| ( ( ~ ( ( ( k2_group_3 @ SV5 @ ( k2_group_3 @ SV5 @ SV111 @ SV156 ) @ ( k3_group_1 @ SV5 @ SV156 ) )
!= SV111 )
| ( ( k2_group_3 @ SV5 @ ( k2_group_3 @ SV5 @ SV111 @ ( k3_group_1 @ SV5 @ SV156 ) ) @ SV156 )
!= SV111 ) ) )
= $true )
| ( ( m1_subset_1 @ SV111 @ ( u1_struct_0 @ SV5 ) )
= $false )
| ( ( v4_group_1 @ SV5 )
= $false )
| ( ( v3_struct_0 @ SV5 )
= $true )
| ( ( v3_group_1 @ SV5 )
= $false )
| ( ( l1_group_1 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7211]) ).
thf(7280,plain,
! [SV113: $i,SV7: $i] :
( ( ( r2_group_3 @ SV7 @ SV113 @ ( k2_group_1 @ SV7 ) )
= $false )
| ( ( SV113
= ( k2_group_1 @ SV7 ) )
= $true )
| ( ( m1_subset_1 @ SV113 @ ( u1_struct_0 @ SV7 ) )
= $false )
| ( ( v4_group_1 @ SV7 )
= $false )
| ( ( v3_struct_0 @ SV7 )
= $true )
| ( ( v3_group_1 @ SV7 )
= $false )
| ( ( l1_group_1 @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7212]) ).
thf(7281,plain,
! [SV113: $i,SV7: $i] :
( ( ( r2_group_3 @ SV7 @ ( k2_group_1 @ SV7 ) @ SV113 )
= $false )
| ( ( SV113
= ( k2_group_1 @ SV7 ) )
= $true )
| ( ( m1_subset_1 @ SV113 @ ( u1_struct_0 @ SV7 ) )
= $false )
| ( ( v4_group_1 @ SV7 )
= $false )
| ( ( v3_struct_0 @ SV7 )
= $true )
| ( ( v3_group_1 @ SV7 )
= $false )
| ( ( l1_group_1 @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7212]) ).
thf(7282,plain,
! [SV114: $i,SV8: $i,SV157: $i] :
( ( ( m1_subset_1 @ SV157 @ ( u1_struct_0 @ SV8 ) )
= $false )
| ( ( ! [SY438: $i] :
( ~ ( m1_subset_1 @ SY438 @ ( u1_struct_0 @ SV8 ) )
| ~ ( ( ( k1_group_1 @ SV8 @ SV114 @ SV157 )
= ( k1_group_1 @ SV8 @ SV114 @ SY438 ) )
| ( ( k1_group_1 @ SV8 @ SV157 @ SV114 )
= ( k1_group_1 @ SV8 @ SY438 @ SV114 ) ) )
| ( SV157 = SY438 ) ) )
= $true )
| ( ( m1_subset_1 @ SV114 @ ( u1_struct_0 @ SV8 ) )
= $false )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7213]) ).
thf(7283,plain,
! [SV115: $i,SV10: $i,SV158: $i] :
( ( ( m1_subset_1 @ SV158 @ ( u1_struct_0 @ SV10 ) )
= $false )
| ( ( ~ ( ~ ( ( ( k1_group_1 @ SV10 @ SV115 @ SV158 )
!= ( k1_group_1 @ SV10 @ SV158 @ SV115 ) )
| ( ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SV115 ) @ ( k3_group_1 @ SV10 @ SV158 ) )
= ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SV158 ) @ ( k3_group_1 @ SV10 @ SV115 ) ) ) )
| ~ ( ( ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SV115 ) @ ( k3_group_1 @ SV10 @ SV158 ) )
!= ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SV158 ) @ ( k3_group_1 @ SV10 @ SV115 ) ) )
| ( ( k1_group_1 @ SV10 @ SV115 @ SV158 )
= ( k1_group_1 @ SV10 @ SV158 @ SV115 ) ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV115 @ ( u1_struct_0 @ SV10 ) )
= $false )
| ( ( v4_group_1 @ SV10 )
= $false )
| ( ( v3_struct_0 @ SV10 )
= $true )
| ( ( v3_group_1 @ SV10 )
= $false )
| ( ( l1_group_1 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7214]) ).
thf(7284,plain,
! [SV11: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k3_autgroup @ SV11 ) )
| ~ ( v1_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( v3_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( v4_group_1 @ ( k3_autgroup @ SV11 ) ) ) )
= $false )
| ( ( v4_group_1 @ SV11 )
= $false )
| ( ( v1_group_1 @ SV11 )
= $false )
| ( ( v3_struct_0 @ SV11 )
= $true )
| ( ( v3_group_1 @ SV11 )
= $false )
| ( ( l1_group_1 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7215]) ).
thf(7285,plain,
! [SV11: $i] :
( ( ( ~ ( l1_group_1 @ ( k3_autgroup @ SV11 ) ) )
= $false )
| ( ( v4_group_1 @ SV11 )
= $false )
| ( ( v1_group_1 @ SV11 )
= $false )
| ( ( v3_struct_0 @ SV11 )
= $true )
| ( ( v3_group_1 @ SV11 )
= $false )
| ( ( l1_group_1 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7215]) ).
thf(7286,plain,
! [SV116: $i,SV13: $i,SV159: $i] :
( ( ( m1_subset_1 @ SV159 @ ( u1_struct_0 @ SV13 ) )
= $false )
| ( ( ~ ( ~ ~ ( ( ( k3_group_5 @ SV13 @ SV116 @ SV159 @ ( k2_group_1 @ SV13 ) )
!= ( k2_group_1 @ SV13 ) )
| ( ( k3_group_5 @ SV13 @ SV116 @ ( k2_group_1 @ SV13 ) @ SV159 )
!= ( k2_group_1 @ SV13 ) ) )
| ( ( k3_group_5 @ SV13 @ ( k2_group_1 @ SV13 ) @ SV116 @ SV159 )
!= ( k2_group_1 @ SV13 ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV116 @ ( u1_struct_0 @ SV13 ) )
= $false )
| ( ( v4_group_1 @ SV13 )
= $false )
| ( ( v3_struct_0 @ SV13 )
= $true )
| ( ( v3_group_1 @ SV13 )
= $false )
| ( ( l1_group_1 @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7216]) ).
thf(7287,plain,
! [SV117: $i,SV15: $i,SV160: $i] :
( ( ( m1_subset_1 @ SV160 @ ( u1_struct_0 @ SV15 ) )
= $false )
| ( ( ( k2_group_3 @ SV15 @ ( k3_group_1 @ SV15 @ SV117 ) @ SV160 )
= ( k3_group_1 @ SV15 @ ( k2_group_3 @ SV15 @ SV117 @ SV160 ) ) )
= $true )
| ( ( m1_subset_1 @ SV117 @ ( u1_struct_0 @ SV15 ) )
= $false )
| ( ( v4_group_1 @ SV15 )
= $false )
| ( ( v3_struct_0 @ SV15 )
= $true )
| ( ( v3_group_1 @ SV15 )
= $false )
| ( ( l1_group_1 @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7217]) ).
thf(7288,plain,
! [SV16: $i,SV161: $i] :
( ( ( m1_subset_1 @ SV161 @ ( u1_struct_0 @ SV16 ) )
= $false )
| ( ( ~ ( ~ ~ ( ( ( k1_group_1 @ SV16 @ SV161 @ ( sK19_SY243 @ SV16 ) )
!= SV161 )
| ( ( k1_group_1 @ SV16 @ ( sK19_SY243 @ SV16 ) @ SV161 )
!= SV161 ) )
| ~ ~ ! [SY439: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY439 @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ SV161 @ SY439 )
!= ( sK19_SY243 @ SV16 ) ) )
| ( ( k1_group_1 @ SV16 @ SY439 @ SV161 )
!= ( sK19_SY243 @ SV16 ) ) ) ) )
= $true )
| ( ( v3_group_1 @ SV16 )
= $false )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7218]) ).
thf(7289,plain,
! [SV16: $i,SV106: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK30_SY385 @ SV106 @ SV16 ) @ ( u1_struct_0 @ SV16 ) ) )
= $false )
| ( ( m1_subset_1 @ SV106 @ ( u1_struct_0 @ SV16 ) )
= $false )
| ( ( v3_group_1 @ SV16 )
= $true )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7219]) ).
thf(7290,plain,
! [SV106: $i,SV16: $i] :
( ( ( ~ ( ~ ~ ( ( ( k1_group_1 @ SV16 @ ( sK30_SY385 @ SV106 @ SV16 ) @ SV106 )
!= ( sK30_SY385 @ SV106 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ SV106 @ ( sK30_SY385 @ SV106 @ SV16 ) )
!= ( sK30_SY385 @ SV106 @ SV16 ) ) )
| ~ ~ ! [SY453: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY453 @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ ( sK30_SY385 @ SV106 @ SV16 ) @ SY453 )
!= SV106 ) )
| ( ( k1_group_1 @ SV16 @ SY453 @ ( sK30_SY385 @ SV106 @ SV16 ) )
!= SV106 ) ) ) )
= $false )
| ( ( m1_subset_1 @ SV106 @ ( u1_struct_0 @ SV16 ) )
= $false )
| ( ( v3_group_1 @ SV16 )
= $true )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7219]) ).
thf(7291,plain,
! [SV118: $i,SV17: $i,SV162: $i] :
( ( ( m1_subset_1 @ SV162 @ ( u1_struct_0 @ SV17 ) )
= $false )
| ( ( ( ( k2_group_3 @ SV17 @ SV118 @ SV162 )
!= ( k2_group_1 @ SV17 ) )
| ( SV118
= ( k2_group_1 @ SV17 ) ) )
= $true )
| ( ( m1_subset_1 @ SV118 @ ( u1_struct_0 @ SV17 ) )
= $false )
| ( ( v4_group_1 @ SV17 )
= $false )
| ( ( v3_struct_0 @ SV17 )
= $true )
| ( ( v3_group_1 @ SV17 )
= $false )
| ( ( l1_group_1 @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7220]) ).
thf(7292,plain,
! [SV92: $i,SV79: $i,SV19: $i] :
( ( ( v3_group_1 @ SV19 )
= $false )
| ( ( v3_struct_0 @ SV19 )
= $true )
| ( ( ~ ( v4_group_1 @ SV19 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV19 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV79 @ ( u1_struct_0 @ SV19 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV92 @ ( u1_struct_0 @ SV19 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k2_group_3 @ SV19 @ SV79 @ SV92 ) @ ( u1_struct_0 @ SV19 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7221]) ).
thf(7293,plain,
! [SV120: $i,SV21: $i,SV163: $i] :
( ( ( m1_subset_1 @ SV163 @ ( u1_struct_0 @ SV21 ) )
= $false )
| ( ( ! [SY440: $i] :
( ~ ( m1_subset_1 @ SY440 @ ( u1_struct_0 @ SV21 ) )
| ~ ~ ( ~ ( r2_group_3 @ SV21 @ SV120 @ SV163 )
| ~ ( r2_group_3 @ SV21 @ SV163 @ SY440 ) )
| ( r2_group_3 @ SV21 @ SV120 @ SY440 ) ) )
= $true )
| ( ( m1_subset_1 @ SV120 @ ( u1_struct_0 @ SV21 ) )
= $false )
| ( ( v4_group_1 @ SV21 )
= $false )
| ( ( v3_struct_0 @ SV21 )
= $true )
| ( ( v3_group_1 @ SV21 )
= $false )
| ( ( l1_group_1 @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7222]) ).
thf(7294,plain,
! [SV22: $i,SV183: $i] :
( ( ( ~ ~ ( ~ ( v1_group_1 @ SV183 )
| ~ ( m1_group_2 @ SV183 @ SV22 ) ) )
= $true )
| ( ( ( ( u1_struct_0 @ SV183 )
!= ( u1_struct_0 @ SV22 ) )
| ( SV183 = SV22 ) )
= $true )
| ( ( v4_group_1 @ SV22 )
= $false )
| ( ( v1_group_1 @ SV22 )
= $false )
| ( ( v3_struct_0 @ SV22 )
= $true )
| ( ( v3_group_1 @ SV22 )
= $false )
| ( ( l1_group_1 @ SV22 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7223]) ).
thf(7295,plain,
! [SV121: $i,SV23: $i,SV164: $i] :
( ( ( m1_subset_1 @ SV164 @ ( u1_struct_0 @ SV23 ) )
= $false )
| ( ( ~ ( ~ ( ( ( k1_group_1 @ SV23 @ SV121 @ SV164 )
!= ( k1_group_1 @ SV23 @ SV164 @ SV121 ) )
| ( ( k3_group_1 @ SV23 @ ( k1_group_1 @ SV23 @ SV121 @ SV164 ) )
= ( k1_group_1 @ SV23 @ ( k3_group_1 @ SV23 @ SV121 ) @ ( k3_group_1 @ SV23 @ SV164 ) ) ) )
| ~ ( ( ( k3_group_1 @ SV23 @ ( k1_group_1 @ SV23 @ SV121 @ SV164 ) )
!= ( k1_group_1 @ SV23 @ ( k3_group_1 @ SV23 @ SV121 ) @ ( k3_group_1 @ SV23 @ SV164 ) ) )
| ( ( k1_group_1 @ SV23 @ SV121 @ SV164 )
= ( k1_group_1 @ SV23 @ SV164 @ SV121 ) ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV121 @ ( u1_struct_0 @ SV23 ) )
= $false )
| ( ( v4_group_1 @ SV23 )
= $false )
| ( ( v3_struct_0 @ SV23 )
= $true )
| ( ( v3_group_1 @ SV23 )
= $false )
| ( ( l1_group_1 @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7224]) ).
thf(7296,plain,
! [SV122: $i,SV24: $i] :
( ( ( ( k2_group_5 @ SV24 @ ( k2_group_1 @ SV24 ) @ SV122 )
= ( k2_group_1 @ SV24 ) )
= $true )
| ( ( m1_subset_1 @ SV122 @ ( u1_struct_0 @ SV24 ) )
= $false )
| ( ( v4_group_1 @ SV24 )
= $false )
| ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( v3_group_1 @ SV24 )
= $false )
| ( ( l1_group_1 @ SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7225]) ).
thf(7297,plain,
! [SV122: $i,SV24: $i] :
( ( ( ( k2_group_5 @ SV24 @ SV122 @ ( k2_group_1 @ SV24 ) )
= ( k2_group_1 @ SV24 ) )
= $true )
| ( ( m1_subset_1 @ SV122 @ ( u1_struct_0 @ SV24 ) )
= $false )
| ( ( v4_group_1 @ SV24 )
= $false )
| ( ( v3_struct_0 @ SV24 )
= $true )
| ( ( v3_group_1 @ SV24 )
= $false )
| ( ( l1_group_1 @ SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7226]) ).
thf(7298,plain,
! [SV26: $i,SV123: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV123 )
| ~ ( v3_group_1 @ SV123 ) )
| ~ ( v4_group_1 @ SV123 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV123 ) )
= $true )
| ( ( ! [SY403: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY403 )
| ~ ( v3_group_1 @ SY403 ) )
| ~ ( v4_group_1 @ SY403 ) )
| ~ ( l1_group_1 @ SY403 ) )
| ~ ~ ( ~ ( m1_group_2 @ SV26 @ SV123 )
| ~ ( m1_group_2 @ SV123 @ SY403 ) )
| ( m1_group_2 @ SV26 @ SY403 ) ) )
= $true )
| ( ( v4_group_1 @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( v3_group_1 @ SV26 )
= $false )
| ( ( l1_group_1 @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7227]) ).
thf(7299,plain,
! [SV28: $i] :
( ( ( ~ ( v4_group_1 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ ( sK16_SY265 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( m1_subset_1 @ ( sK23_SY268 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7228]) ).
thf(7300,plain,
! [SV28: $i] :
( ( ( ~ ( v3_group_1 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ ( sK16_SY265 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( m1_subset_1 @ ( sK23_SY268 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7228]) ).
thf(7301,plain,
! [SV28: $i] :
( ( ( m1_subset_1 @ ( sK28_SY430 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( m1_subset_1 @ ( sK16_SY265 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7229]) ).
thf(7302,plain,
! [SV28: $i] :
( ( ( ~ ~ ! [SY441: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY441 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ ( sK23_SY268 @ SV28 ) @ SY441 )
!= ( sK28_SY430 @ SV28 ) ) )
| ~ ~ ! [SY442: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY442 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY442 @ ( sK23_SY268 @ SV28 ) )
!= ( sK28_SY430 @ SV28 ) ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK16_SY265 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7230]) ).
thf(7303,plain,
! [SV28: $i] :
( ( ( m1_subset_1 @ ( sK29_SY268 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( m1_subset_1 @ ( sK21_SY377 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7231]) ).
thf(7304,plain,
! [SV28: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK33_SY443 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
| ~ ( ~ ~ ! [SY458: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY458 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ ( sK29_SY268 @ SV28 ) @ SY458 )
!= ( sK33_SY443 @ SV28 ) ) )
| ~ ~ ! [SY459: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY459 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY459 @ ( sK29_SY268 @ SV28 ) )
!= ( sK33_SY443 @ SV28 ) ) ) ) )
= $false )
| ( ( m1_subset_1 @ ( sK21_SY377 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[7232]) ).
thf(7305,plain,
! [SV28: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK34_SY268 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
| ! [SY460: $i] :
( ~ ( m1_subset_1 @ SY460 @ ( u1_struct_0 @ SV28 ) )
| ~ ( ~ ~ ! [SY461: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY461 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ ( sK34_SY268 @ SV28 ) @ SY461 )
!= SY460 ) )
| ~ ~ ! [SY462: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY462 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY462 @ ( sK34_SY268 @ SV28 ) )
!= SY460 ) ) ) ) )
= $false )
| ( ( m1_subset_1 @ ( sK24_SY389 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[7233]) ).
thf(7306,plain,
! [SV28: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK31_SY268 @ SV28 ) @ ( u1_struct_0 @ SV28 ) ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( sK21_SY377 @ SV28 ) ) @ ( sK24_SY389 @ SV28 ) )
= ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( k1_group_1 @ SV28 @ ( sK21_SY377 @ SV28 ) @ ( sK24_SY389 @ SV28 ) ) ) )
= $false )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7234]) ).
thf(7307,plain,
! [SV28: $i] :
( ( ( ! [SY454: $i] :
( ~ ( m1_subset_1 @ SY454 @ ( u1_struct_0 @ SV28 ) )
| ~ ( ~ ~ ! [SY455: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY455 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ ( sK31_SY268 @ SV28 ) @ SY455 )
!= SY454 ) )
| ~ ~ ! [SY456: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY456 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY456 @ ( sK31_SY268 @ SV28 ) )
!= SY454 ) ) ) ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( sK21_SY377 @ SV28 ) ) @ ( sK24_SY389 @ SV28 ) )
= ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( k1_group_1 @ SV28 @ ( sK21_SY377 @ SV28 ) @ ( sK24_SY389 @ SV28 ) ) ) )
= $false )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7234]) ).
thf(7308,plain,
! [SV93: $i,SV81: $i,SV29: $i] :
( ( ( v3_group_1 @ SV29 )
= $false )
| ( ( v3_struct_0 @ SV29 )
= $true )
| ( ( ~ ( v4_group_1 @ SV29 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV29 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV81 @ ( u1_struct_0 @ SV29 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV93 @ ( u1_struct_0 @ SV29 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k2_group_5 @ SV29 @ SV81 @ SV93 ) @ ( u1_struct_0 @ SV29 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7235]) ).
thf(7309,plain,
! [SV94: $i,SV82: $i,SV30: $i] :
( ( ( v3_group_1 @ SV30 )
= $false )
| ( ( v3_struct_0 @ SV30 )
= $true )
| ( ( ~ ( v4_group_1 @ SV30 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV30 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV82 @ ( u1_struct_0 @ SV30 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV94 @ ( u1_struct_0 @ SV30 ) ) )
= $true )
| ( ( r2_group_3 @ SV30 @ SV82 @ SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7236]) ).
thf(7310,plain,
! [SV124: $i,SV31: $i,SV165: $i] :
( ( ( m1_subset_1 @ SV165 @ ( u1_struct_0 @ SV31 ) )
= $false )
| ( ( ( ( k3_group_1 @ SV31 @ SV124 )
!= ( k3_group_1 @ SV31 @ SV165 ) )
| ( SV124 = SV165 ) )
= $true )
| ( ( m1_subset_1 @ SV124 @ ( u1_struct_0 @ SV31 ) )
= $false )
| ( ( v4_group_1 @ SV31 )
= $false )
| ( ( v3_struct_0 @ SV31 )
= $true )
| ( ( v3_group_1 @ SV31 )
= $false )
| ( ( l1_group_1 @ SV31 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7237]) ).
thf(7311,plain,
! [SV125: $i,SV32: $i] :
( ( ( ( k2_group_5 @ SV32 @ SV125 @ ( k3_group_1 @ SV32 @ SV125 ) )
= ( k2_group_1 @ SV32 ) )
= $true )
| ( ( m1_subset_1 @ SV125 @ ( u1_struct_0 @ SV32 ) )
= $false )
| ( ( v4_group_1 @ SV32 )
= $false )
| ( ( v3_struct_0 @ SV32 )
= $true )
| ( ( v3_group_1 @ SV32 )
= $false )
| ( ( l1_group_1 @ SV32 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7238]) ).
thf(7312,plain,
! [SV125: $i,SV32: $i] :
( ( ( ( k2_group_5 @ SV32 @ ( k3_group_1 @ SV32 @ SV125 ) @ SV125 )
= ( k2_group_1 @ SV32 ) )
= $true )
| ( ( m1_subset_1 @ SV125 @ ( u1_struct_0 @ SV32 ) )
= $false )
| ( ( v4_group_1 @ SV32 )
= $false )
| ( ( v3_struct_0 @ SV32 )
= $true )
| ( ( v3_group_1 @ SV32 )
= $false )
| ( ( l1_group_1 @ SV32 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7239]) ).
thf(7313,plain,
! [SV126: $i,SV33: $i,SV166: $i] :
( ( ( m1_subset_1 @ SV166 @ ( u1_struct_0 @ SV33 ) )
= $false )
| ( ( ! [SY446: $i] :
( ~ ( m1_subset_1 @ SY446 @ ( u1_struct_0 @ SV33 ) )
| ( ( k2_group_3 @ SV33 @ SV126 @ SV166 )
!= ( k2_group_3 @ SV33 @ SY446 @ SV166 ) )
| ( SV126 = SY446 ) ) )
= $true )
| ( ( m1_subset_1 @ SV126 @ ( u1_struct_0 @ SV33 ) )
= $false )
| ( ( v4_group_1 @ SV33 )
= $false )
| ( ( v3_struct_0 @ SV33 )
= $true )
| ( ( v3_group_1 @ SV33 )
= $false )
| ( ( l1_group_1 @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7240]) ).
thf(7314,plain,
! [SV127: $i,SV34: $i,SV167: $i] :
( ( ( m1_subset_1 @ SV167 @ ( u1_struct_0 @ SV34 ) )
= $false )
| ( ( ~ ( ( ( k1_group_1 @ SV34 @ SV127 @ SV167 )
= ( k2_group_1 @ SV34 ) )
| ( ( k1_group_1 @ SV34 @ SV167 @ SV127 )
= ( k2_group_1 @ SV34 ) ) )
| ~ ( ( SV127
!= ( k3_group_1 @ SV34 @ SV167 ) )
| ( SV167
!= ( k3_group_1 @ SV34 @ SV127 ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV127 @ ( u1_struct_0 @ SV34 ) )
= $false )
| ( ( v4_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7241]) ).
thf(7315,plain,
! [SV83: $i,SV35: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV35 )
| ~ ( v3_group_1 @ SV35 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV35 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV35 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV83 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV83 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV83 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV83 ) )
= $true )
| ( ( r1_group_6 @ SV35 @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7242]) ).
thf(7316,plain,
! [SV128: $i,SV36: $i,SV168: $i] :
( ( ( m1_subset_1 @ SV168 @ ( u1_struct_0 @ SV36 ) )
= $false )
| ( ( ! [SY447: $i] :
( ~ ( m1_subset_1 @ SY447 @ ( u1_struct_0 @ SV36 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV36 @ SV128 @ SV168 )
!= SY447 )
| ( SV128
= ( k1_group_1 @ SV36 @ SY447 @ ( k3_group_1 @ SV36 @ SV168 ) ) ) )
| ~ ( ( SV128
!= ( k1_group_1 @ SV36 @ SY447 @ ( k3_group_1 @ SV36 @ SV168 ) ) )
| ( ( k1_group_1 @ SV36 @ SV128 @ SV168 )
= SY447 ) ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV128 @ ( u1_struct_0 @ SV36 ) )
= $false )
| ( ( v4_group_1 @ SV36 )
= $false )
| ( ( v3_struct_0 @ SV36 )
= $true )
| ( ( v3_group_1 @ SV36 )
= $false )
| ( ( l1_group_1 @ SV36 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7243]) ).
thf(7317,plain,
! [SV38: $i,SV103: $i] :
( ( ( v3_struct_0 @ SV103 )
= $false )
| ( ( m1_group_2 @ SV103 @ SV38 )
= $false )
| ( ( v3_group_1 @ SV38 )
= $false )
| ( ( v3_struct_0 @ SV38 )
= $true )
| ( ( l1_group_1 @ SV38 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7244]) ).
thf(7318,plain,
! [SV130: $i,SV41: $i,SV169: $i] :
( ( ( m1_subset_1 @ SV169 @ ( u1_struct_0 @ SV41 ) )
= $false )
| ( ( ( k3_group_1 @ SV41 @ ( k2_group_5 @ SV41 @ SV130 @ SV169 ) )
= ( k2_group_5 @ SV41 @ SV169 @ SV130 ) )
= $true )
| ( ( m1_subset_1 @ SV130 @ ( u1_struct_0 @ SV41 ) )
= $false )
| ( ( v4_group_1 @ SV41 )
= $false )
| ( ( v3_struct_0 @ SV41 )
= $true )
| ( ( v3_group_1 @ SV41 )
= $false )
| ( ( l1_group_1 @ SV41 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7246]) ).
thf(7319,plain,
! [SV131: $i,SV42: $i,SV170: $i] :
( ( ( m1_subset_1 @ SV170 @ ( u1_struct_0 @ SV42 ) )
= $false )
| ( ( ( k3_group_5 @ SV42 @ SV131 @ SV131 @ SV170 )
= ( k2_group_1 @ SV42 ) )
= $true )
| ( ( m1_subset_1 @ SV131 @ ( u1_struct_0 @ SV42 ) )
= $false )
| ( ( v4_group_1 @ SV42 )
= $false )
| ( ( v3_struct_0 @ SV42 )
= $true )
| ( ( v3_group_1 @ SV42 )
= $false )
| ( ( l1_group_1 @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7247]) ).
thf(7320,plain,
! [SV104: $i,SV43: $i] :
( ( ( ( k1_group_1 @ SV43 @ ( sK25_SY375 @ SV104 @ SV43 ) @ SV104 )
= ( sK25_SY375 @ SV104 @ SV43 ) )
= $false )
| ( ( ( k1_group_1 @ SV43 @ SV104 @ ( sK25_SY375 @ SV104 @ SV43 ) )
!= ( sK25_SY375 @ SV104 @ SV43 ) )
= $true )
| ( ( SV104
= ( k2_group_1 @ SV43 ) )
= $true )
| ( ( m1_subset_1 @ SV104 @ ( u1_struct_0 @ SV43 ) )
= $false )
| ( ( v3_group_1 @ SV43 )
= $false )
| ( ( v3_struct_0 @ SV43 )
= $true )
| ( ( l1_group_1 @ SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7248]) ).
thf(7321,plain,
! [SV132: $i,SV105: $i,SV44: $i,SV171: $i] :
( ( ( m1_subset_1 @ SV171 @ ( u1_struct_0 @ SV44 ) )
= $false )
| ( ( ( k1_group_1 @ SV44 @ ( k1_group_1 @ SV44 @ SV105 @ SV132 ) @ SV171 )
= ( k1_group_1 @ SV44 @ SV105 @ ( k1_group_1 @ SV44 @ SV132 @ SV171 ) ) )
= $true )
| ( ( m1_subset_1 @ SV132 @ ( u1_struct_0 @ SV44 ) )
= $false )
| ( ( m1_subset_1 @ SV105 @ ( u1_struct_0 @ SV44 ) )
= $false )
| ( ( v4_group_1 @ SV44 )
= $false )
| ( ( v3_struct_0 @ SV44 )
= $true )
| ( ( l1_group_1 @ SV44 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7249]) ).
thf(7322,plain,
! [SV133: $i,SV45: $i,SV172: $i] :
( ( ( m1_subset_1 @ SV172 @ ( u1_struct_0 @ SV45 ) )
= $false )
| ( ( ( k3_group_1 @ SV45 @ ( k1_group_1 @ SV45 @ SV133 @ SV172 ) )
= ( k1_group_1 @ SV45 @ ( k3_group_1 @ SV45 @ SV172 ) @ ( k3_group_1 @ SV45 @ SV133 ) ) )
= $true )
| ( ( m1_subset_1 @ SV133 @ ( u1_struct_0 @ SV45 ) )
= $false )
| ( ( v4_group_1 @ SV45 )
= $false )
| ( ( v3_struct_0 @ SV45 )
= $true )
| ( ( v3_group_1 @ SV45 )
= $false )
| ( ( l1_group_1 @ SV45 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7250]) ).
thf(7323,plain,
! [SV98: $i,SV95: $i,SV84: $i,SV47: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV47 )
| ~ ( v3_group_1 @ SV47 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV47 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV47 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV84 @ ( u1_struct_0 @ SV47 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV95 @ ( u1_struct_0 @ SV47 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV98 @ ( u1_struct_0 @ SV47 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k3_group_5 @ SV47 @ SV84 @ SV95 @ SV98 ) @ ( u1_struct_0 @ SV47 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7251]) ).
thf(7324,plain,
! [SV48: $i,SV134: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV134 )
| ~ ( v3_group_1 @ SV134 ) )
| ~ ( v4_group_1 @ SV134 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV134 ) )
= $true )
| ( ( ! [SY414: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY414 )
| ~ ( v3_group_1 @ SY414 ) )
| ~ ( v4_group_1 @ SY414 ) )
| ~ ( l1_group_1 @ SY414 ) )
| ~ ~ ( ~ ( r1_group_6 @ SV48 @ SV134 )
| ~ ( r1_group_6 @ SV134 @ SY414 ) )
| ( r1_group_6 @ SV48 @ SY414 ) ) )
= $true )
| ( ( v4_group_1 @ SV48 )
= $false )
| ( ( v3_struct_0 @ SV48 )
= $true )
| ( ( v3_group_1 @ SV48 )
= $false )
| ( ( l1_group_1 @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7252]) ).
thf(7325,plain,
! [SV96: $i,SV86: $i,SV51: $i] :
( ( ( v3_group_1 @ SV51 )
= $false )
| ( ( v3_struct_0 @ SV51 )
= $true )
| ( ( ~ ( v4_group_1 @ SV51 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV51 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV86 @ ( u1_struct_0 @ SV51 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV96 @ ( u1_struct_0 @ SV51 ) ) )
= $true )
| ( ( ~ ( r2_group_3 @ SV51 @ SV86 @ SV96 )
| ( r2_group_3 @ SV51 @ SV96 @ SV86 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7254]) ).
thf(7326,plain,
! [SV52: $i,SV184: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV184 )
| ~ ( v1_group_1 @ SV184 ) )
| ~ ( v3_group_1 @ SV184 ) )
| ~ ( v4_group_1 @ SV184 ) )
| ~ ( l1_group_1 @ SV184 ) ) )
= $true )
| ( ( ~ ( r1_group_6 @ SV52 @ SV184 )
| ( r1_group_6 @ SV184 @ SV52 ) )
= $true )
| ( ( v4_group_1 @ SV52 )
= $false )
| ( ( v1_group_1 @ SV52 )
= $false )
| ( ( v3_struct_0 @ SV52 )
= $true )
| ( ( v3_group_1 @ SV52 )
= $false )
| ( ( l1_group_1 @ SV52 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7255]) ).
thf(7327,plain,
! [SV136: $i,SV54: $i,SV173: $i] :
( ( ( m1_subset_1 @ SV173 @ ( u1_struct_0 @ SV54 ) )
= $false )
| ( ( ~ ( ~ ( ( ( k1_group_1 @ SV54 @ SV136 @ SV173 )
!= ( k1_group_1 @ SV54 @ SV173 @ SV136 ) )
| ( ( k1_group_1 @ SV54 @ SV136 @ ( k3_group_1 @ SV54 @ SV173 ) )
= ( k1_group_1 @ SV54 @ ( k3_group_1 @ SV54 @ SV173 ) @ SV136 ) ) )
| ~ ( ( ( k1_group_1 @ SV54 @ SV136 @ ( k3_group_1 @ SV54 @ SV173 ) )
!= ( k1_group_1 @ SV54 @ ( k3_group_1 @ SV54 @ SV173 ) @ SV136 ) )
| ( ( k1_group_1 @ SV54 @ SV136 @ SV173 )
= ( k1_group_1 @ SV54 @ SV173 @ SV136 ) ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV136 @ ( u1_struct_0 @ SV54 ) )
= $false )
| ( ( v4_group_1 @ SV54 )
= $false )
| ( ( v3_struct_0 @ SV54 )
= $true )
| ( ( v3_group_1 @ SV54 )
= $false )
| ( ( l1_group_1 @ SV54 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7256]) ).
thf(7328,plain,
! [SV137: $i,SV55: $i,SV174: $i] :
( ( ( m1_group_2 @ SV174 @ SV55 )
= $false )
| ( ( ! [SY448: $i] :
( ~ ( m1_subset_1 @ SY448 @ ( u1_struct_0 @ SV174 ) )
| ( SY448 != SV137 )
| ( ( k3_group_1 @ SV174 @ SY448 )
= ( k3_group_1 @ SV55 @ SV137 ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV137 @ ( u1_struct_0 @ SV55 ) )
= $false )
| ( ( v4_group_1 @ SV55 )
= $false )
| ( ( v3_struct_0 @ SV55 )
= $true )
| ( ( v3_group_1 @ SV55 )
= $false )
| ( ( l1_group_1 @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7257]) ).
thf(7329,plain,
! [SV138: $i,SV56: $i,SV175: $i] :
( ( ( m1_subset_1 @ SV175 @ ( u1_struct_0 @ SV56 ) )
= $false )
| ( ( ~ ~ ( ( ( k1_group_1 @ SV56 @ SV138 @ SV175 )
!= ( k2_group_1 @ SV56 ) )
| ( ( k1_group_1 @ SV56 @ SV175 @ SV138 )
!= ( k2_group_1 @ SV56 ) ) )
| ( SV175
= ( k3_group_1 @ SV56 @ SV138 ) ) )
= $true )
| ( ( m1_subset_1 @ SV138 @ ( u1_struct_0 @ SV56 ) )
= $false )
| ( ( v4_group_1 @ SV56 )
= $false )
| ( ( v3_struct_0 @ SV56 )
= $true )
| ( ( v3_group_1 @ SV56 )
= $false )
| ( ( l1_group_1 @ SV56 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7258]) ).
thf(7330,plain,
! [SV140: $i,SV59: $i,SV176: $i] :
( ( ( m1_subset_1 @ SV176 @ ( u1_struct_0 @ SV59 ) )
= $false )
| ( ( ~ ! [SY449: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY449 @ ( u1_struct_0 @ SV59 ) )
| ( ( k1_group_1 @ SV59 @ SV140 @ SY449 )
!= SV176 ) ) )
= $true )
| ( ( m1_subset_1 @ SV140 @ ( u1_struct_0 @ SV59 ) )
= $false )
| ( ( v4_group_1 @ SV59 )
= $false )
| ( ( v3_struct_0 @ SV59 )
= $true )
| ( ( v3_group_1 @ SV59 )
= $false )
| ( ( l1_group_1 @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7259]) ).
thf(7331,plain,
! [SV141: $i,SV60: $i,SV177: $i] :
( ( ( m1_subset_1 @ SV177 @ ( u1_struct_0 @ SV60 ) )
= $false )
| ( ( ~ ( ~ ( ( SV177
!= ( k3_group_1 @ SV60 @ SV141 ) )
| ~ ( ( ( k1_group_1 @ SV60 @ SV141 @ SV177 )
!= ( k2_group_1 @ SV60 ) )
| ( ( k1_group_1 @ SV60 @ SV177 @ SV141 )
!= ( k2_group_1 @ SV60 ) ) ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV60 @ SV141 @ SV177 )
!= ( k2_group_1 @ SV60 ) )
| ( ( k1_group_1 @ SV60 @ SV177 @ SV141 )
!= ( k2_group_1 @ SV60 ) ) )
| ( SV177
= ( k3_group_1 @ SV60 @ SV141 ) ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV141 @ ( u1_struct_0 @ SV60 ) )
= $false )
| ( ( v4_group_1 @ SV60 )
= $false )
| ( ( v3_struct_0 @ SV60 )
= $true )
| ( ( v3_group_1 @ SV60 )
= $false )
| ( ( l1_group_1 @ SV60 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7260]) ).
thf(7332,plain,
! [SV87: $i,SV61: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV61 )
| ~ ( v1_group_1 @ SV61 ) )
| ~ ( v3_group_1 @ SV61 ) )
| ~ ( v4_group_1 @ SV61 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV61 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV87 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( r2_group_6 @ SV61 @ SV87 )
| ( r2_group_6 @ SV87 @ SV61 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7261]) ).
thf(7333,plain,
! [SV62: $i,SV185: $i] :
( ( ( ~ ( m1_subset_1 @ SV185 @ ( u1_struct_0 @ SV62 ) ) )
= $true )
| ( ( ( k8_funct_2 @ ( u1_struct_0 @ SV62 ) @ ( u1_struct_0 @ SV62 ) @ ( k6_autgroup @ SV62 @ ( k2_group_1 @ SV62 ) ) @ SV185 )
= SV185 )
= $true )
| ( ( v4_group_1 @ SV62 )
= $false )
| ( ( v1_group_1 @ SV62 )
= $false )
| ( ( v3_struct_0 @ SV62 )
= $true )
| ( ( v3_group_1 @ SV62 )
= $false )
| ( ( l1_group_1 @ SV62 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7262]) ).
thf(7334,plain,
! [SV143: $i,SV66: $i,SV178: $i] :
( ( ( m1_subset_1 @ SV178 @ ( u1_struct_0 @ SV66 ) )
= $false )
| ( ( ~ ( r1_group_3 @ SV66 @ SV143 @ SV178 )
| ( r1_group_3 @ SV66 @ SV178 @ SV143 ) )
= $true )
| ( ( m1_subset_1 @ SV143 @ ( u1_struct_0 @ SV66 ) )
= $false )
| ( ( v4_group_1 @ SV66 )
= $false )
| ( ( v3_struct_0 @ SV66 )
= $true )
| ( ( v3_group_1 @ SV66 )
= $false )
| ( ( l1_group_1 @ SV66 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7263]) ).
thf(7335,plain,
! [SV107: $i,SV70: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV107 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ ( sK27_SY387 @ SV107 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( m1_subset_1 @ ( sK14_SY342 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7264]) ).
thf(7336,plain,
! [SV107: $i,SV70: $i] :
( ( ( ~ ~ ( ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SV107 )
!= ( sK27_SY387 @ SV107 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ SV107 @ ( sK27_SY387 @ SV107 @ SV70 ) )
!= ( sK27_SY387 @ SV107 @ SV70 ) ) ) )
= $true )
| ( ( ~ ~ ! [SY435: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY435 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SY435 )
!= SV107 ) )
| ( ( k1_group_1 @ SV70 @ SY435 @ ( sK27_SY387 @ SV107 @ SV70 ) )
!= SV107 ) ) )
= $true )
| ( ( m1_subset_1 @ SV107 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK14_SY342 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7265]) ).
thf(7337,plain,
! [SV70: $i,SV146: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK32_SY423 @ SV146 @ SV70 ) @ ( u1_struct_0 @ SV70 ) ) )
= $false )
| ( ( m1_subset_1 @ SV146 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK15_SY372 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7266]) ).
thf(7338,plain,
! [SV146: $i,SV70: $i] :
( ( ( ~ ( ~ ~ ( ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SV146 )
!= ( sK32_SY423 @ SV146 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ SV146 @ ( sK32_SY423 @ SV146 @ SV70 ) )
!= ( sK32_SY423 @ SV146 @ SV70 ) ) )
| ~ ~ ! [SY457: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY457 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SY457 )
!= SV146 ) )
| ( ( k1_group_1 @ SV70 @ SY457 @ ( sK32_SY423 @ SV146 @ SV70 ) )
!= SV146 ) ) ) )
= $false )
| ( ( m1_subset_1 @ SV146 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK15_SY372 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7266]) ).
thf(7339,plain,
! [SV153: $i,SV70: $i] :
( ( ( ! [SY436: $i] :
( ~ ( m1_subset_1 @ SY436 @ ( u1_struct_0 @ SV70 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV70 @ SY436 @ SV153 )
!= SY436 )
| ( ( k1_group_1 @ SV70 @ SV153 @ SY436 )
!= SY436 ) )
| ~ ~ ! [SY437: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY437 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ SY436 @ SY437 )
!= SV153 ) )
| ( ( k1_group_1 @ SV70 @ SY437 @ SY436 )
!= SV153 ) ) ) ) )
= $false )
| ( ( m1_subset_1 @ SV153 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK20_SY376 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7267]) ).
thf(7340,plain,
! [SV70: $i,SV152: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK35_SY433 @ SV152 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SV152 )
!= ( sK35_SY433 @ SV152 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ SV152 @ ( sK35_SY433 @ SV152 @ SV70 ) )
!= ( sK35_SY433 @ SV152 @ SV70 ) ) )
| ~ ~ ! [SY463: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY463 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SY463 )
!= SV152 ) )
| ( ( k1_group_1 @ SV70 @ SY463 @ ( sK35_SY433 @ SV152 @ SV70 ) )
!= SV152 ) ) ) )
= $false )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( sK15_SY372 @ SV70 ) ) @ ( sK20_SY376 @ SV70 ) )
= ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( k1_group_1 @ SV70 @ ( sK15_SY372 @ SV70 ) @ ( sK20_SY376 @ SV70 ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[7268]) ).
thf(7341,plain,
! [SV147: $i,SV71: $i,SV179: $i] :
( ( ( m1_subset_1 @ SV179 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV147 @ SV179 ) @ ( k3_group_1 @ SV71 @ SV179 ) )
!= SV147 )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV147 @ ( k3_group_1 @ SV71 @ SV179 ) ) @ SV179 )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SV179 ) @ SV179 ) @ SV147 )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV179 @ ( k3_group_1 @ SV71 @ SV179 ) ) @ SV147 )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ SV147 @ ( k1_group_1 @ SV71 @ SV179 @ ( k3_group_1 @ SV71 @ SV179 ) ) )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ SV147 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SV179 ) @ SV179 ) )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SV179 ) @ ( k1_group_1 @ SV71 @ SV179 @ SV147 ) )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ SV179 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SV179 ) @ SV147 ) )
!= SV147 ) ) )
= $true )
| ( ( m1_subset_1 @ SV147 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( v4_group_1 @ SV71 )
= $false )
| ( ( v3_struct_0 @ SV71 )
= $true )
| ( ( v3_group_1 @ SV71 )
= $false )
| ( ( l1_group_1 @ SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7269]) ).
thf(7342,plain,
! [SV91: $i,SV72: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV72 )
| ~ ( v1_group_1 @ SV72 ) )
| ~ ( v3_group_1 @ SV72 ) )
| ~ ( v4_group_1 @ SV72 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV72 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV91 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV91 ) )
= $true )
| ( ( r2_group_6 @ SV72 @ SV72 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7270]) ).
thf(7343,plain,
! [SV148: $i,SV73: $i] :
( ( ( ( k2_group_3 @ SV73 @ SV148 @ ( k3_group_1 @ SV73 @ SV148 ) )
= SV148 )
= $true )
| ( ( m1_subset_1 @ SV148 @ ( u1_struct_0 @ SV73 ) )
= $false )
| ( ( v4_group_1 @ SV73 )
= $false )
| ( ( v3_struct_0 @ SV73 )
= $true )
| ( ( v3_group_1 @ SV73 )
= $false )
| ( ( l1_group_1 @ SV73 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7271]) ).
thf(7344,plain,
! [SV148: $i,SV73: $i] :
( ( ( ( k2_group_3 @ SV73 @ ( k3_group_1 @ SV73 @ SV148 ) @ SV148 )
= ( k3_group_1 @ SV73 @ SV148 ) )
= $true )
| ( ( m1_subset_1 @ SV148 @ ( u1_struct_0 @ SV73 ) )
= $false )
| ( ( v4_group_1 @ SV73 )
= $false )
| ( ( v3_struct_0 @ SV73 )
= $true )
| ( ( v3_group_1 @ SV73 )
= $false )
| ( ( l1_group_1 @ SV73 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7272]) ).
thf(7345,plain,
! [SV149: $i,SV74: $i,SV180: $i] :
( ( ( m1_subset_1 @ SV180 @ ( u1_struct_0 @ SV74 ) )
= $false )
| ( ( ! [SY450: $i] :
( ~ ( m1_subset_1 @ SY450 @ ( u1_struct_0 @ SV74 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV74 @ SV149 @ SV180 )
!= SY450 )
| ( SV180
= ( k1_group_1 @ SV74 @ ( k3_group_1 @ SV74 @ SV149 ) @ SY450 ) ) )
| ~ ( ( SV180
!= ( k1_group_1 @ SV74 @ ( k3_group_1 @ SV74 @ SV149 ) @ SY450 ) )
| ( ( k1_group_1 @ SV74 @ SV149 @ SV180 )
= SY450 ) ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV149 @ ( u1_struct_0 @ SV74 ) )
= $false )
| ( ( v4_group_1 @ SV74 )
= $false )
| ( ( v3_struct_0 @ SV74 )
= $true )
| ( ( v3_group_1 @ SV74 )
= $false )
| ( ( l1_group_1 @ SV74 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7273]) ).
thf(7346,plain,
! [SV151: $i,SV77: $i,SV181: $i] :
( ( ( m1_subset_1 @ SV181 @ ( u1_struct_0 @ SV77 ) )
= $false )
| ( ( ~ ! [SY451: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY451 @ ( u1_struct_0 @ SV77 ) )
| ( ( k1_group_1 @ SV77 @ SY451 @ SV151 )
!= SV181 ) ) )
= $true )
| ( ( m1_subset_1 @ SV151 @ ( u1_struct_0 @ SV77 ) )
= $false )
| ( ( v4_group_1 @ SV77 )
= $false )
| ( ( v3_struct_0 @ SV77 )
= $true )
| ( ( v3_group_1 @ SV77 )
= $false )
| ( ( l1_group_1 @ SV77 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7275]) ).
thf(7347,plain,
! [SV2: $i,SV182: $i] :
( ( ( m1_subset_1 @ SV182 @ ( u1_struct_0 @ SV2 ) )
= $false )
| ( ( ! [SY452: $i] :
( ~ ( m1_subset_1 @ SY452 @ ( u1_struct_0 @ SV2 ) )
| ( ( k6_autgroup @ SV2 @ ( k1_group_1 @ SV2 @ SV182 @ SY452 ) )
= ( k7_funct_2 @ ( u1_struct_0 @ SV2 ) @ ( u1_struct_0 @ SV2 ) @ ( u1_struct_0 @ SV2 ) @ ( k6_autgroup @ SV2 @ SV182 ) @ ( k6_autgroup @ SV2 @ SY452 ) ) ) ) )
= $true )
| ( ( v4_group_1 @ SV2 )
= $false )
| ( ( v1_group_1 @ SV2 )
= $false )
| ( ( v3_struct_0 @ SV2 )
= $true )
| ( ( v3_group_1 @ SV2 )
= $false )
| ( ( l1_group_1 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7276]) ).
thf(7348,plain,
! [SV154: $i,SV109: $i,SV3: $i] :
( ( ( ~ ( ( ( k1_group_1 @ SV3 @ SV109 @ SV154 )
= SV109 )
| ( ( k1_group_1 @ SV3 @ SV154 @ SV109 )
= SV109 ) ) )
= $true )
| ( ( SV154
= ( k2_group_1 @ SV3 ) )
= $true )
| ( ( m1_subset_1 @ SV154 @ ( u1_struct_0 @ SV3 ) )
= $false )
| ( ( m1_subset_1 @ SV109 @ ( u1_struct_0 @ SV3 ) )
= $false )
| ( ( v4_group_1 @ SV3 )
= $false )
| ( ( v3_struct_0 @ SV3 )
= $true )
| ( ( v3_group_1 @ SV3 )
= $false )
| ( ( l1_group_1 @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7277]) ).
thf(7349,plain,
! [SV156: $i,SV111: $i,SV5: $i] :
( ( ( ( ( k2_group_3 @ SV5 @ ( k2_group_3 @ SV5 @ SV111 @ SV156 ) @ ( k3_group_1 @ SV5 @ SV156 ) )
!= SV111 )
| ( ( k2_group_3 @ SV5 @ ( k2_group_3 @ SV5 @ SV111 @ ( k3_group_1 @ SV5 @ SV156 ) ) @ SV156 )
!= SV111 ) )
= $false )
| ( ( m1_subset_1 @ SV156 @ ( u1_struct_0 @ SV5 ) )
= $false )
| ( ( m1_subset_1 @ SV111 @ ( u1_struct_0 @ SV5 ) )
= $false )
| ( ( v4_group_1 @ SV5 )
= $false )
| ( ( v3_struct_0 @ SV5 )
= $true )
| ( ( v3_group_1 @ SV5 )
= $false )
| ( ( l1_group_1 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7279]) ).
thf(7350,plain,
! [SV157: $i,SV114: $i,SV8: $i,SV186: $i] :
( ( ( ~ ( m1_subset_1 @ SV186 @ ( u1_struct_0 @ SV8 ) )
| ~ ( ( ( k1_group_1 @ SV8 @ SV114 @ SV157 )
= ( k1_group_1 @ SV8 @ SV114 @ SV186 ) )
| ( ( k1_group_1 @ SV8 @ SV157 @ SV114 )
= ( k1_group_1 @ SV8 @ SV186 @ SV114 ) ) )
| ( SV157 = SV186 ) )
= $true )
| ( ( m1_subset_1 @ SV157 @ ( u1_struct_0 @ SV8 ) )
= $false )
| ( ( m1_subset_1 @ SV114 @ ( u1_struct_0 @ SV8 ) )
= $false )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7282]) ).
thf(7351,plain,
! [SV158: $i,SV115: $i,SV10: $i] :
( ( ( ~ ( ( ( k1_group_1 @ SV10 @ SV115 @ SV158 )
!= ( k1_group_1 @ SV10 @ SV158 @ SV115 ) )
| ( ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SV115 ) @ ( k3_group_1 @ SV10 @ SV158 ) )
= ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SV158 ) @ ( k3_group_1 @ SV10 @ SV115 ) ) ) )
| ~ ( ( ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SV115 ) @ ( k3_group_1 @ SV10 @ SV158 ) )
!= ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SV158 ) @ ( k3_group_1 @ SV10 @ SV115 ) ) )
| ( ( k1_group_1 @ SV10 @ SV115 @ SV158 )
= ( k1_group_1 @ SV10 @ SV158 @ SV115 ) ) ) )
= $false )
| ( ( m1_subset_1 @ SV158 @ ( u1_struct_0 @ SV10 ) )
= $false )
| ( ( m1_subset_1 @ SV115 @ ( u1_struct_0 @ SV10 ) )
= $false )
| ( ( v4_group_1 @ SV10 )
= $false )
| ( ( v3_struct_0 @ SV10 )
= $true )
| ( ( v3_group_1 @ SV10 )
= $false )
| ( ( l1_group_1 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7283]) ).
thf(7352,plain,
! [SV11: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k3_autgroup @ SV11 ) )
| ~ ( v1_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( v3_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( v4_group_1 @ ( k3_autgroup @ SV11 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV11 )
= $false )
| ( ( v1_group_1 @ SV11 )
= $false )
| ( ( v3_struct_0 @ SV11 )
= $true )
| ( ( v3_group_1 @ SV11 )
= $false )
| ( ( l1_group_1 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7284]) ).
thf(7353,plain,
! [SV11: $i] :
( ( ( l1_group_1 @ ( k3_autgroup @ SV11 ) )
= $true )
| ( ( v4_group_1 @ SV11 )
= $false )
| ( ( v1_group_1 @ SV11 )
= $false )
| ( ( v3_struct_0 @ SV11 )
= $true )
| ( ( v3_group_1 @ SV11 )
= $false )
| ( ( l1_group_1 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7285]) ).
thf(7354,plain,
! [SV159: $i,SV116: $i,SV13: $i] :
( ( ( ~ ~ ( ( ( k3_group_5 @ SV13 @ SV116 @ SV159 @ ( k2_group_1 @ SV13 ) )
!= ( k2_group_1 @ SV13 ) )
| ( ( k3_group_5 @ SV13 @ SV116 @ ( k2_group_1 @ SV13 ) @ SV159 )
!= ( k2_group_1 @ SV13 ) ) )
| ( ( k3_group_5 @ SV13 @ ( k2_group_1 @ SV13 ) @ SV116 @ SV159 )
!= ( k2_group_1 @ SV13 ) ) )
= $false )
| ( ( m1_subset_1 @ SV159 @ ( u1_struct_0 @ SV13 ) )
= $false )
| ( ( m1_subset_1 @ SV116 @ ( u1_struct_0 @ SV13 ) )
= $false )
| ( ( v4_group_1 @ SV13 )
= $false )
| ( ( v3_struct_0 @ SV13 )
= $true )
| ( ( v3_group_1 @ SV13 )
= $false )
| ( ( l1_group_1 @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7286]) ).
thf(7355,plain,
! [SV161: $i,SV16: $i] :
( ( ( ~ ~ ( ( ( k1_group_1 @ SV16 @ SV161 @ ( sK19_SY243 @ SV16 ) )
!= SV161 )
| ( ( k1_group_1 @ SV16 @ ( sK19_SY243 @ SV16 ) @ SV161 )
!= SV161 ) )
| ~ ~ ! [SY439: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY439 @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ SV161 @ SY439 )
!= ( sK19_SY243 @ SV16 ) ) )
| ( ( k1_group_1 @ SV16 @ SY439 @ SV161 )
!= ( sK19_SY243 @ SV16 ) ) ) )
= $false )
| ( ( m1_subset_1 @ SV161 @ ( u1_struct_0 @ SV16 ) )
= $false )
| ( ( v3_group_1 @ SV16 )
= $false )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7288]) ).
thf(7356,plain,
! [SV16: $i,SV106: $i] :
( ( ( m1_subset_1 @ ( sK30_SY385 @ SV106 @ SV16 ) @ ( u1_struct_0 @ SV16 ) )
= $true )
| ( ( m1_subset_1 @ SV106 @ ( u1_struct_0 @ SV16 ) )
= $false )
| ( ( v3_group_1 @ SV16 )
= $true )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7289]) ).
thf(7357,plain,
! [SV106: $i,SV16: $i] :
( ( ( ~ ~ ( ( ( k1_group_1 @ SV16 @ ( sK30_SY385 @ SV106 @ SV16 ) @ SV106 )
!= ( sK30_SY385 @ SV106 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ SV106 @ ( sK30_SY385 @ SV106 @ SV16 ) )
!= ( sK30_SY385 @ SV106 @ SV16 ) ) )
| ~ ~ ! [SY453: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY453 @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ ( sK30_SY385 @ SV106 @ SV16 ) @ SY453 )
!= SV106 ) )
| ( ( k1_group_1 @ SV16 @ SY453 @ ( sK30_SY385 @ SV106 @ SV16 ) )
!= SV106 ) ) )
= $true )
| ( ( m1_subset_1 @ SV106 @ ( u1_struct_0 @ SV16 ) )
= $false )
| ( ( v3_group_1 @ SV16 )
= $true )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7290]) ).
thf(7358,plain,
! [SV162: $i,SV118: $i,SV17: $i] :
( ( ( ( k2_group_3 @ SV17 @ SV118 @ SV162 )
!= ( k2_group_1 @ SV17 ) )
= $true )
| ( ( SV118
= ( k2_group_1 @ SV17 ) )
= $true )
| ( ( m1_subset_1 @ SV162 @ ( u1_struct_0 @ SV17 ) )
= $false )
| ( ( m1_subset_1 @ SV118 @ ( u1_struct_0 @ SV17 ) )
= $false )
| ( ( v4_group_1 @ SV17 )
= $false )
| ( ( v3_struct_0 @ SV17 )
= $true )
| ( ( v3_group_1 @ SV17 )
= $false )
| ( ( l1_group_1 @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7291]) ).
thf(7359,plain,
! [SV92: $i,SV79: $i,SV19: $i] :
( ( ( v4_group_1 @ SV19 )
= $false )
| ( ( v3_struct_0 @ SV19 )
= $true )
| ( ( v3_group_1 @ SV19 )
= $false )
| ( ( ~ ( l1_group_1 @ SV19 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV79 @ ( u1_struct_0 @ SV19 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV92 @ ( u1_struct_0 @ SV19 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k2_group_3 @ SV19 @ SV79 @ SV92 ) @ ( u1_struct_0 @ SV19 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7292]) ).
thf(7360,plain,
! [SV163: $i,SV120: $i,SV21: $i,SV187: $i] :
( ( ( ~ ( m1_subset_1 @ SV187 @ ( u1_struct_0 @ SV21 ) )
| ~ ~ ( ~ ( r2_group_3 @ SV21 @ SV120 @ SV163 )
| ~ ( r2_group_3 @ SV21 @ SV163 @ SV187 ) )
| ( r2_group_3 @ SV21 @ SV120 @ SV187 ) )
= $true )
| ( ( m1_subset_1 @ SV163 @ ( u1_struct_0 @ SV21 ) )
= $false )
| ( ( m1_subset_1 @ SV120 @ ( u1_struct_0 @ SV21 ) )
= $false )
| ( ( v4_group_1 @ SV21 )
= $false )
| ( ( v3_struct_0 @ SV21 )
= $true )
| ( ( v3_group_1 @ SV21 )
= $false )
| ( ( l1_group_1 @ SV21 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7293]) ).
thf(7361,plain,
! [SV22: $i,SV183: $i] :
( ( ( ~ ( ~ ( v1_group_1 @ SV183 )
| ~ ( m1_group_2 @ SV183 @ SV22 ) ) )
= $false )
| ( ( ( ( u1_struct_0 @ SV183 )
!= ( u1_struct_0 @ SV22 ) )
| ( SV183 = SV22 ) )
= $true )
| ( ( v4_group_1 @ SV22 )
= $false )
| ( ( v1_group_1 @ SV22 )
= $false )
| ( ( v3_struct_0 @ SV22 )
= $true )
| ( ( v3_group_1 @ SV22 )
= $false )
| ( ( l1_group_1 @ SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7294]) ).
thf(7362,plain,
! [SV164: $i,SV121: $i,SV23: $i] :
( ( ( ~ ( ( ( k1_group_1 @ SV23 @ SV121 @ SV164 )
!= ( k1_group_1 @ SV23 @ SV164 @ SV121 ) )
| ( ( k3_group_1 @ SV23 @ ( k1_group_1 @ SV23 @ SV121 @ SV164 ) )
= ( k1_group_1 @ SV23 @ ( k3_group_1 @ SV23 @ SV121 ) @ ( k3_group_1 @ SV23 @ SV164 ) ) ) )
| ~ ( ( ( k3_group_1 @ SV23 @ ( k1_group_1 @ SV23 @ SV121 @ SV164 ) )
!= ( k1_group_1 @ SV23 @ ( k3_group_1 @ SV23 @ SV121 ) @ ( k3_group_1 @ SV23 @ SV164 ) ) )
| ( ( k1_group_1 @ SV23 @ SV121 @ SV164 )
= ( k1_group_1 @ SV23 @ SV164 @ SV121 ) ) ) )
= $false )
| ( ( m1_subset_1 @ SV164 @ ( u1_struct_0 @ SV23 ) )
= $false )
| ( ( m1_subset_1 @ SV121 @ ( u1_struct_0 @ SV23 ) )
= $false )
| ( ( v4_group_1 @ SV23 )
= $false )
| ( ( v3_struct_0 @ SV23 )
= $true )
| ( ( v3_group_1 @ SV23 )
= $false )
| ( ( l1_group_1 @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7295]) ).
thf(7363,plain,
! [SV26: $i,SV123: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV123 )
| ~ ( v3_group_1 @ SV123 ) )
| ~ ( v4_group_1 @ SV123 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV123 ) )
= $true )
| ( ( ! [SY403: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY403 )
| ~ ( v3_group_1 @ SY403 ) )
| ~ ( v4_group_1 @ SY403 ) )
| ~ ( l1_group_1 @ SY403 ) )
| ~ ~ ( ~ ( m1_group_2 @ SV26 @ SV123 )
| ~ ( m1_group_2 @ SV123 @ SY403 ) )
| ( m1_group_2 @ SV26 @ SY403 ) ) )
= $true )
| ( ( v4_group_1 @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( v3_group_1 @ SV26 )
= $false )
| ( ( l1_group_1 @ SV26 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7298]) ).
thf(7364,plain,
! [SV28: $i] :
( ( ( v4_group_1 @ SV28 )
= $true )
| ( ( m1_subset_1 @ ( sK16_SY265 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( m1_subset_1 @ ( sK23_SY268 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7299]) ).
thf(7365,plain,
! [SV28: $i] :
( ( ( v3_group_1 @ SV28 )
= $true )
| ( ( m1_subset_1 @ ( sK16_SY265 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( m1_subset_1 @ ( sK23_SY268 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7300]) ).
thf(7366,plain,
! [SV28: $i] :
( ( ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ ( sK16_SY265 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( m1_subset_1 @ ( sK28_SY430 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7301]) ).
thf(7367,plain,
! [SV28: $i] :
( ( ( ~ ~ ! [SY441: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY441 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ ( sK23_SY268 @ SV28 ) @ SY441 )
!= ( sK28_SY430 @ SV28 ) ) ) )
= $true )
| ( ( ~ ~ ! [SY442: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY442 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY442 @ ( sK23_SY268 @ SV28 ) )
!= ( sK28_SY430 @ SV28 ) ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK16_SY265 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7302]) ).
thf(7368,plain,
! [SV28: $i] :
( ( ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ ( sK21_SY377 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( m1_subset_1 @ ( sK29_SY268 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7303]) ).
thf(7369,plain,
! [SV28: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK33_SY443 @ SV28 ) @ ( u1_struct_0 @ SV28 ) ) )
= $false )
| ( ( m1_subset_1 @ ( sK21_SY377 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7304]) ).
thf(7370,plain,
! [SV28: $i] :
( ( ( ~ ( ~ ~ ! [SY458: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY458 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ ( sK29_SY268 @ SV28 ) @ SY458 )
!= ( sK33_SY443 @ SV28 ) ) )
| ~ ~ ! [SY459: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY459 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY459 @ ( sK29_SY268 @ SV28 ) )
!= ( sK33_SY443 @ SV28 ) ) ) ) )
= $false )
| ( ( m1_subset_1 @ ( sK21_SY377 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7304]) ).
thf(7371,plain,
! [SV28: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK34_SY268 @ SV28 ) @ ( u1_struct_0 @ SV28 ) ) )
= $false )
| ( ( m1_subset_1 @ ( sK24_SY389 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7305]) ).
thf(7372,plain,
! [SV28: $i] :
( ( ( ! [SY460: $i] :
( ~ ( m1_subset_1 @ SY460 @ ( u1_struct_0 @ SV28 ) )
| ~ ( ~ ~ ! [SY461: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY461 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ ( sK34_SY268 @ SV28 ) @ SY461 )
!= SY460 ) )
| ~ ~ ! [SY462: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY462 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY462 @ ( sK34_SY268 @ SV28 ) )
!= SY460 ) ) ) ) )
= $false )
| ( ( m1_subset_1 @ ( sK24_SY389 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7305]) ).
thf(7373,plain,
! [SV28: $i] :
( ( ( m1_subset_1 @ ( sK31_SY268 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ( k1_group_1 @ SV28 @ ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( sK21_SY377 @ SV28 ) ) @ ( sK24_SY389 @ SV28 ) )
= ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( k1_group_1 @ SV28 @ ( sK21_SY377 @ SV28 ) @ ( sK24_SY389 @ SV28 ) ) ) )
= $false )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7306]) ).
thf(7374,plain,
! [SV28: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK36_SY454 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
| ~ ( ~ ~ ! [SY464: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY464 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ ( sK31_SY268 @ SV28 ) @ SY464 )
!= ( sK36_SY454 @ SV28 ) ) )
| ~ ~ ! [SY465: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY465 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY465 @ ( sK31_SY268 @ SV28 ) )
!= ( sK36_SY454 @ SV28 ) ) ) ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( sK21_SY377 @ SV28 ) ) @ ( sK24_SY389 @ SV28 ) )
= ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( k1_group_1 @ SV28 @ ( sK21_SY377 @ SV28 ) @ ( sK24_SY389 @ SV28 ) ) ) )
= $false )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[7307]) ).
thf(7375,plain,
! [SV93: $i,SV81: $i,SV29: $i] :
( ( ( v4_group_1 @ SV29 )
= $false )
| ( ( v3_struct_0 @ SV29 )
= $true )
| ( ( v3_group_1 @ SV29 )
= $false )
| ( ( ~ ( l1_group_1 @ SV29 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV81 @ ( u1_struct_0 @ SV29 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV93 @ ( u1_struct_0 @ SV29 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k2_group_5 @ SV29 @ SV81 @ SV93 ) @ ( u1_struct_0 @ SV29 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7308]) ).
thf(7376,plain,
! [SV94: $i,SV82: $i,SV30: $i] :
( ( ( v4_group_1 @ SV30 )
= $false )
| ( ( v3_struct_0 @ SV30 )
= $true )
| ( ( v3_group_1 @ SV30 )
= $false )
| ( ( ~ ( l1_group_1 @ SV30 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV82 @ ( u1_struct_0 @ SV30 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV94 @ ( u1_struct_0 @ SV30 ) ) )
= $true )
| ( ( r2_group_3 @ SV30 @ SV82 @ SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7309]) ).
thf(7377,plain,
! [SV165: $i,SV124: $i,SV31: $i] :
( ( ( ( k3_group_1 @ SV31 @ SV124 )
!= ( k3_group_1 @ SV31 @ SV165 ) )
= $true )
| ( ( SV124 = SV165 )
= $true )
| ( ( m1_subset_1 @ SV165 @ ( u1_struct_0 @ SV31 ) )
= $false )
| ( ( m1_subset_1 @ SV124 @ ( u1_struct_0 @ SV31 ) )
= $false )
| ( ( v4_group_1 @ SV31 )
= $false )
| ( ( v3_struct_0 @ SV31 )
= $true )
| ( ( v3_group_1 @ SV31 )
= $false )
| ( ( l1_group_1 @ SV31 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7310]) ).
thf(7378,plain,
! [SV166: $i,SV126: $i,SV33: $i,SV188: $i] :
( ( ( ~ ( m1_subset_1 @ SV188 @ ( u1_struct_0 @ SV33 ) )
| ( ( k2_group_3 @ SV33 @ SV126 @ SV166 )
!= ( k2_group_3 @ SV33 @ SV188 @ SV166 ) )
| ( SV126 = SV188 ) )
= $true )
| ( ( m1_subset_1 @ SV166 @ ( u1_struct_0 @ SV33 ) )
= $false )
| ( ( m1_subset_1 @ SV126 @ ( u1_struct_0 @ SV33 ) )
= $false )
| ( ( v4_group_1 @ SV33 )
= $false )
| ( ( v3_struct_0 @ SV33 )
= $true )
| ( ( v3_group_1 @ SV33 )
= $false )
| ( ( l1_group_1 @ SV33 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7313]) ).
thf(7379,plain,
! [SV167: $i,SV127: $i,SV34: $i] :
( ( ( ~ ( ( ( k1_group_1 @ SV34 @ SV127 @ SV167 )
= ( k2_group_1 @ SV34 ) )
| ( ( k1_group_1 @ SV34 @ SV167 @ SV127 )
= ( k2_group_1 @ SV34 ) ) ) )
= $true )
| ( ( ~ ( ( SV127
!= ( k3_group_1 @ SV34 @ SV167 ) )
| ( SV167
!= ( k3_group_1 @ SV34 @ SV127 ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV167 @ ( u1_struct_0 @ SV34 ) )
= $false )
| ( ( m1_subset_1 @ SV127 @ ( u1_struct_0 @ SV34 ) )
= $false )
| ( ( v4_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7314]) ).
thf(7380,plain,
! [SV83: $i,SV35: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV35 )
| ~ ( v3_group_1 @ SV35 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV35 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV35 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV83 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV83 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV83 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV83 ) )
= $true )
| ( ( r1_group_6 @ SV35 @ SV35 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7315]) ).
thf(7381,plain,
! [SV168: $i,SV128: $i,SV36: $i,SV189: $i] :
( ( ( ~ ( m1_subset_1 @ SV189 @ ( u1_struct_0 @ SV36 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV36 @ SV128 @ SV168 )
!= SV189 )
| ( SV128
= ( k1_group_1 @ SV36 @ SV189 @ ( k3_group_1 @ SV36 @ SV168 ) ) ) )
| ~ ( ( SV128
!= ( k1_group_1 @ SV36 @ SV189 @ ( k3_group_1 @ SV36 @ SV168 ) ) )
| ( ( k1_group_1 @ SV36 @ SV128 @ SV168 )
= SV189 ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV168 @ ( u1_struct_0 @ SV36 ) )
= $false )
| ( ( m1_subset_1 @ SV128 @ ( u1_struct_0 @ SV36 ) )
= $false )
| ( ( v4_group_1 @ SV36 )
= $false )
| ( ( v3_struct_0 @ SV36 )
= $true )
| ( ( v3_group_1 @ SV36 )
= $false )
| ( ( l1_group_1 @ SV36 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7316]) ).
thf(7382,plain,
! [SV104: $i,SV43: $i] :
( ( ( ( k1_group_1 @ SV43 @ SV104 @ ( sK25_SY375 @ SV104 @ SV43 ) )
= ( sK25_SY375 @ SV104 @ SV43 ) )
= $false )
| ( ( ( k1_group_1 @ SV43 @ ( sK25_SY375 @ SV104 @ SV43 ) @ SV104 )
= ( sK25_SY375 @ SV104 @ SV43 ) )
= $false )
| ( ( SV104
= ( k2_group_1 @ SV43 ) )
= $true )
| ( ( m1_subset_1 @ SV104 @ ( u1_struct_0 @ SV43 ) )
= $false )
| ( ( v3_group_1 @ SV43 )
= $false )
| ( ( v3_struct_0 @ SV43 )
= $true )
| ( ( l1_group_1 @ SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7320]) ).
thf(7383,plain,
! [SV98: $i,SV95: $i,SV84: $i,SV47: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV47 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV47 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV47 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV47 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV84 @ ( u1_struct_0 @ SV47 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV95 @ ( u1_struct_0 @ SV47 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV98 @ ( u1_struct_0 @ SV47 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k3_group_5 @ SV47 @ SV84 @ SV95 @ SV98 ) @ ( u1_struct_0 @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7323]) ).
thf(7384,plain,
! [SV48: $i,SV134: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV134 )
| ~ ( v3_group_1 @ SV134 ) )
| ~ ( v4_group_1 @ SV134 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV134 ) )
= $true )
| ( ( ! [SY414: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY414 )
| ~ ( v3_group_1 @ SY414 ) )
| ~ ( v4_group_1 @ SY414 ) )
| ~ ( l1_group_1 @ SY414 ) )
| ~ ~ ( ~ ( r1_group_6 @ SV48 @ SV134 )
| ~ ( r1_group_6 @ SV134 @ SY414 ) )
| ( r1_group_6 @ SV48 @ SY414 ) ) )
= $true )
| ( ( v4_group_1 @ SV48 )
= $false )
| ( ( v3_struct_0 @ SV48 )
= $true )
| ( ( v3_group_1 @ SV48 )
= $false )
| ( ( l1_group_1 @ SV48 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7324]) ).
thf(7385,plain,
! [SV96: $i,SV86: $i,SV51: $i] :
( ( ( v4_group_1 @ SV51 )
= $false )
| ( ( v3_struct_0 @ SV51 )
= $true )
| ( ( v3_group_1 @ SV51 )
= $false )
| ( ( ~ ( l1_group_1 @ SV51 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV86 @ ( u1_struct_0 @ SV51 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV96 @ ( u1_struct_0 @ SV51 ) ) )
= $true )
| ( ( ~ ( r2_group_3 @ SV51 @ SV86 @ SV96 )
| ( r2_group_3 @ SV51 @ SV96 @ SV86 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7325]) ).
thf(7386,plain,
! [SV52: $i,SV184: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV184 )
| ~ ( v1_group_1 @ SV184 ) )
| ~ ( v3_group_1 @ SV184 ) )
| ~ ( v4_group_1 @ SV184 ) )
| ~ ( l1_group_1 @ SV184 ) ) )
= $false )
| ( ( ~ ( r1_group_6 @ SV52 @ SV184 )
| ( r1_group_6 @ SV184 @ SV52 ) )
= $true )
| ( ( v4_group_1 @ SV52 )
= $false )
| ( ( v1_group_1 @ SV52 )
= $false )
| ( ( v3_struct_0 @ SV52 )
= $true )
| ( ( v3_group_1 @ SV52 )
= $false )
| ( ( l1_group_1 @ SV52 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7326]) ).
thf(7387,plain,
! [SV173: $i,SV136: $i,SV54: $i] :
( ( ( ~ ( ( ( k1_group_1 @ SV54 @ SV136 @ SV173 )
!= ( k1_group_1 @ SV54 @ SV173 @ SV136 ) )
| ( ( k1_group_1 @ SV54 @ SV136 @ ( k3_group_1 @ SV54 @ SV173 ) )
= ( k1_group_1 @ SV54 @ ( k3_group_1 @ SV54 @ SV173 ) @ SV136 ) ) )
| ~ ( ( ( k1_group_1 @ SV54 @ SV136 @ ( k3_group_1 @ SV54 @ SV173 ) )
!= ( k1_group_1 @ SV54 @ ( k3_group_1 @ SV54 @ SV173 ) @ SV136 ) )
| ( ( k1_group_1 @ SV54 @ SV136 @ SV173 )
= ( k1_group_1 @ SV54 @ SV173 @ SV136 ) ) ) )
= $false )
| ( ( m1_subset_1 @ SV173 @ ( u1_struct_0 @ SV54 ) )
= $false )
| ( ( m1_subset_1 @ SV136 @ ( u1_struct_0 @ SV54 ) )
= $false )
| ( ( v4_group_1 @ SV54 )
= $false )
| ( ( v3_struct_0 @ SV54 )
= $true )
| ( ( v3_group_1 @ SV54 )
= $false )
| ( ( l1_group_1 @ SV54 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7327]) ).
thf(7388,plain,
! [SV55: $i,SV137: $i,SV174: $i,SV190: $i] :
( ( ( ~ ( m1_subset_1 @ SV190 @ ( u1_struct_0 @ SV174 ) )
| ( SV190 != SV137 )
| ( ( k3_group_1 @ SV174 @ SV190 )
= ( k3_group_1 @ SV55 @ SV137 ) ) )
= $true )
| ( ( m1_group_2 @ SV174 @ SV55 )
= $false )
| ( ( m1_subset_1 @ SV137 @ ( u1_struct_0 @ SV55 ) )
= $false )
| ( ( v4_group_1 @ SV55 )
= $false )
| ( ( v3_struct_0 @ SV55 )
= $true )
| ( ( v3_group_1 @ SV55 )
= $false )
| ( ( l1_group_1 @ SV55 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7328]) ).
thf(7389,plain,
! [SV175: $i,SV138: $i,SV56: $i] :
( ( ( ~ ~ ( ( ( k1_group_1 @ SV56 @ SV138 @ SV175 )
!= ( k2_group_1 @ SV56 ) )
| ( ( k1_group_1 @ SV56 @ SV175 @ SV138 )
!= ( k2_group_1 @ SV56 ) ) ) )
= $true )
| ( ( SV175
= ( k3_group_1 @ SV56 @ SV138 ) )
= $true )
| ( ( m1_subset_1 @ SV175 @ ( u1_struct_0 @ SV56 ) )
= $false )
| ( ( m1_subset_1 @ SV138 @ ( u1_struct_0 @ SV56 ) )
= $false )
| ( ( v4_group_1 @ SV56 )
= $false )
| ( ( v3_struct_0 @ SV56 )
= $true )
| ( ( v3_group_1 @ SV56 )
= $false )
| ( ( l1_group_1 @ SV56 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7329]) ).
thf(7390,plain,
! [SV176: $i,SV140: $i,SV59: $i] :
( ( ( ! [SY449: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY449 @ ( u1_struct_0 @ SV59 ) )
| ( ( k1_group_1 @ SV59 @ SV140 @ SY449 )
!= SV176 ) ) )
= $false )
| ( ( m1_subset_1 @ SV176 @ ( u1_struct_0 @ SV59 ) )
= $false )
| ( ( m1_subset_1 @ SV140 @ ( u1_struct_0 @ SV59 ) )
= $false )
| ( ( v4_group_1 @ SV59 )
= $false )
| ( ( v3_struct_0 @ SV59 )
= $true )
| ( ( v3_group_1 @ SV59 )
= $false )
| ( ( l1_group_1 @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7330]) ).
thf(7391,plain,
! [SV141: $i,SV60: $i,SV177: $i] :
( ( ( ~ ( ( SV177
!= ( k3_group_1 @ SV60 @ SV141 ) )
| ~ ( ( ( k1_group_1 @ SV60 @ SV141 @ SV177 )
!= ( k2_group_1 @ SV60 ) )
| ( ( k1_group_1 @ SV60 @ SV177 @ SV141 )
!= ( k2_group_1 @ SV60 ) ) ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV60 @ SV141 @ SV177 )
!= ( k2_group_1 @ SV60 ) )
| ( ( k1_group_1 @ SV60 @ SV177 @ SV141 )
!= ( k2_group_1 @ SV60 ) ) )
| ( SV177
= ( k3_group_1 @ SV60 @ SV141 ) ) ) )
= $false )
| ( ( m1_subset_1 @ SV177 @ ( u1_struct_0 @ SV60 ) )
= $false )
| ( ( m1_subset_1 @ SV141 @ ( u1_struct_0 @ SV60 ) )
= $false )
| ( ( v4_group_1 @ SV60 )
= $false )
| ( ( v3_struct_0 @ SV60 )
= $true )
| ( ( v3_group_1 @ SV60 )
= $false )
| ( ( l1_group_1 @ SV60 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7331]) ).
thf(7392,plain,
! [SV87: $i,SV61: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV61 )
| ~ ( v1_group_1 @ SV61 ) )
| ~ ( v3_group_1 @ SV61 ) )
| ~ ( v4_group_1 @ SV61 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV61 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV87 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( r2_group_6 @ SV61 @ SV87 )
| ( r2_group_6 @ SV87 @ SV61 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7332]) ).
thf(7393,plain,
! [SV62: $i,SV185: $i] :
( ( ( m1_subset_1 @ SV185 @ ( u1_struct_0 @ SV62 ) )
= $false )
| ( ( ( k8_funct_2 @ ( u1_struct_0 @ SV62 ) @ ( u1_struct_0 @ SV62 ) @ ( k6_autgroup @ SV62 @ ( k2_group_1 @ SV62 ) ) @ SV185 )
= SV185 )
= $true )
| ( ( v4_group_1 @ SV62 )
= $false )
| ( ( v1_group_1 @ SV62 )
= $false )
| ( ( v3_struct_0 @ SV62 )
= $true )
| ( ( v3_group_1 @ SV62 )
= $false )
| ( ( l1_group_1 @ SV62 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7333]) ).
thf(7394,plain,
! [SV178: $i,SV143: $i,SV66: $i] :
( ( ( ~ ( r1_group_3 @ SV66 @ SV143 @ SV178 ) )
= $true )
| ( ( r1_group_3 @ SV66 @ SV178 @ SV143 )
= $true )
| ( ( m1_subset_1 @ SV178 @ ( u1_struct_0 @ SV66 ) )
= $false )
| ( ( m1_subset_1 @ SV143 @ ( u1_struct_0 @ SV66 ) )
= $false )
| ( ( v4_group_1 @ SV66 )
= $false )
| ( ( v3_struct_0 @ SV66 )
= $true )
| ( ( v3_group_1 @ SV66 )
= $false )
| ( ( l1_group_1 @ SV66 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7334]) ).
thf(7395,plain,
! [SV107: $i,SV70: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) ) )
= $false )
| ( ( m1_subset_1 @ SV107 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ ( sK27_SY387 @ SV107 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( m1_subset_1 @ ( sK14_SY342 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7335]) ).
thf(7396,plain,
! [SV107: $i,SV70: $i] :
( ( ( ~ ( l1_group_1 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV107 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ ( sK27_SY387 @ SV107 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( m1_subset_1 @ ( sK14_SY342 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7335]) ).
thf(7397,plain,
! [SV107: $i,SV70: $i] :
( ( ( ~ ( ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SV107 )
!= ( sK27_SY387 @ SV107 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ SV107 @ ( sK27_SY387 @ SV107 @ SV70 ) )
!= ( sK27_SY387 @ SV107 @ SV70 ) ) ) )
= $false )
| ( ( ~ ~ ! [SY435: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY435 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SY435 )
!= SV107 ) )
| ( ( k1_group_1 @ SV70 @ SY435 @ ( sK27_SY387 @ SV107 @ SV70 ) )
!= SV107 ) ) )
= $true )
| ( ( m1_subset_1 @ SV107 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK14_SY342 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7336]) ).
thf(7398,plain,
! [SV70: $i,SV146: $i] :
( ( ( m1_subset_1 @ ( sK32_SY423 @ SV146 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( m1_subset_1 @ SV146 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK15_SY372 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7337]) ).
thf(7399,plain,
! [SV146: $i,SV70: $i] :
( ( ( ~ ~ ( ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SV146 )
!= ( sK32_SY423 @ SV146 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ SV146 @ ( sK32_SY423 @ SV146 @ SV70 ) )
!= ( sK32_SY423 @ SV146 @ SV70 ) ) )
| ~ ~ ! [SY457: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY457 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SY457 )
!= SV146 ) )
| ( ( k1_group_1 @ SV70 @ SY457 @ ( sK32_SY423 @ SV146 @ SV70 ) )
!= SV146 ) ) )
= $true )
| ( ( m1_subset_1 @ SV146 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK15_SY372 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7338]) ).
thf(7400,plain,
! [SV70: $i,SV153: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK37_SY436 @ SV153 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
| ~ ( ~ ~ ( ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SV153 )
!= ( sK37_SY436 @ SV153 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ SV153 @ ( sK37_SY436 @ SV153 @ SV70 ) )
!= ( sK37_SY436 @ SV153 @ SV70 ) ) )
| ~ ~ ! [SY466: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY466 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SY466 )
!= SV153 ) )
| ( ( k1_group_1 @ SV70 @ SY466 @ ( sK37_SY436 @ SV153 @ SV70 ) )
!= SV153 ) ) ) )
= $false )
| ( ( m1_subset_1 @ SV153 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK20_SY376 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[7339]) ).
thf(7401,plain,
! [SV70: $i,SV152: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK35_SY433 @ SV152 @ SV70 ) @ ( u1_struct_0 @ SV70 ) ) )
= $false )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( sK15_SY372 @ SV70 ) ) @ ( sK20_SY376 @ SV70 ) )
= ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( k1_group_1 @ SV70 @ ( sK15_SY372 @ SV70 ) @ ( sK20_SY376 @ SV70 ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7340]) ).
thf(7402,plain,
! [SV152: $i,SV70: $i] :
( ( ( ~ ( ~ ~ ( ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SV152 )
!= ( sK35_SY433 @ SV152 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ SV152 @ ( sK35_SY433 @ SV152 @ SV70 ) )
!= ( sK35_SY433 @ SV152 @ SV70 ) ) )
| ~ ~ ! [SY463: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY463 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SY463 )
!= SV152 ) )
| ( ( k1_group_1 @ SV70 @ SY463 @ ( sK35_SY433 @ SV152 @ SV70 ) )
!= SV152 ) ) ) )
= $false )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( sK15_SY372 @ SV70 ) ) @ ( sK20_SY376 @ SV70 ) )
= ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( k1_group_1 @ SV70 @ ( sK15_SY372 @ SV70 ) @ ( sK20_SY376 @ SV70 ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7340]) ).
thf(7403,plain,
! [SV179: $i,SV147: $i,SV71: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV147 @ SV179 ) @ ( k3_group_1 @ SV71 @ SV179 ) )
!= SV147 )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV147 @ ( k3_group_1 @ SV71 @ SV179 ) ) @ SV179 )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SV179 ) @ SV179 ) @ SV147 )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV179 @ ( k3_group_1 @ SV71 @ SV179 ) ) @ SV147 )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ SV147 @ ( k1_group_1 @ SV71 @ SV179 @ ( k3_group_1 @ SV71 @ SV179 ) ) )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ SV147 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SV179 ) @ SV179 ) )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SV179 ) @ ( k1_group_1 @ SV71 @ SV179 @ SV147 ) )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ SV179 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SV179 ) @ SV147 ) )
!= SV147 ) )
= $false )
| ( ( m1_subset_1 @ SV179 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( m1_subset_1 @ SV147 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( v4_group_1 @ SV71 )
= $false )
| ( ( v3_struct_0 @ SV71 )
= $true )
| ( ( v3_group_1 @ SV71 )
= $false )
| ( ( l1_group_1 @ SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7341]) ).
thf(7404,plain,
! [SV91: $i,SV72: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV72 )
| ~ ( v1_group_1 @ SV72 ) )
| ~ ( v3_group_1 @ SV72 ) )
| ~ ( v4_group_1 @ SV72 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV72 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV91 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV91 ) )
= $true )
| ( ( r2_group_6 @ SV72 @ SV72 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7342]) ).
thf(7405,plain,
! [SV180: $i,SV149: $i,SV74: $i,SV191: $i] :
( ( ( ~ ( m1_subset_1 @ SV191 @ ( u1_struct_0 @ SV74 ) )
| ~ ( ~ ( ( ( k1_group_1 @ SV74 @ SV149 @ SV180 )
!= SV191 )
| ( SV180
= ( k1_group_1 @ SV74 @ ( k3_group_1 @ SV74 @ SV149 ) @ SV191 ) ) )
| ~ ( ( SV180
!= ( k1_group_1 @ SV74 @ ( k3_group_1 @ SV74 @ SV149 ) @ SV191 ) )
| ( ( k1_group_1 @ SV74 @ SV149 @ SV180 )
= SV191 ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV180 @ ( u1_struct_0 @ SV74 ) )
= $false )
| ( ( m1_subset_1 @ SV149 @ ( u1_struct_0 @ SV74 ) )
= $false )
| ( ( v4_group_1 @ SV74 )
= $false )
| ( ( v3_struct_0 @ SV74 )
= $true )
| ( ( v3_group_1 @ SV74 )
= $false )
| ( ( l1_group_1 @ SV74 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7345]) ).
thf(7406,plain,
! [SV181: $i,SV151: $i,SV77: $i] :
( ( ( ! [SY451: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY451 @ ( u1_struct_0 @ SV77 ) )
| ( ( k1_group_1 @ SV77 @ SY451 @ SV151 )
!= SV181 ) ) )
= $false )
| ( ( m1_subset_1 @ SV181 @ ( u1_struct_0 @ SV77 ) )
= $false )
| ( ( m1_subset_1 @ SV151 @ ( u1_struct_0 @ SV77 ) )
= $false )
| ( ( v4_group_1 @ SV77 )
= $false )
| ( ( v3_struct_0 @ SV77 )
= $true )
| ( ( v3_group_1 @ SV77 )
= $false )
| ( ( l1_group_1 @ SV77 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7346]) ).
thf(7407,plain,
! [SV182: $i,SV2: $i,SV192: $i] :
( ( ( ~ ( m1_subset_1 @ SV192 @ ( u1_struct_0 @ SV2 ) )
| ( ( k6_autgroup @ SV2 @ ( k1_group_1 @ SV2 @ SV182 @ SV192 ) )
= ( k7_funct_2 @ ( u1_struct_0 @ SV2 ) @ ( u1_struct_0 @ SV2 ) @ ( u1_struct_0 @ SV2 ) @ ( k6_autgroup @ SV2 @ SV182 ) @ ( k6_autgroup @ SV2 @ SV192 ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV182 @ ( u1_struct_0 @ SV2 ) )
= $false )
| ( ( v4_group_1 @ SV2 )
= $false )
| ( ( v1_group_1 @ SV2 )
= $false )
| ( ( v3_struct_0 @ SV2 )
= $true )
| ( ( v3_group_1 @ SV2 )
= $false )
| ( ( l1_group_1 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7347]) ).
thf(7408,plain,
! [SV154: $i,SV109: $i,SV3: $i] :
( ( ( ( ( k1_group_1 @ SV3 @ SV109 @ SV154 )
= SV109 )
| ( ( k1_group_1 @ SV3 @ SV154 @ SV109 )
= SV109 ) )
= $false )
| ( ( SV154
= ( k2_group_1 @ SV3 ) )
= $true )
| ( ( m1_subset_1 @ SV154 @ ( u1_struct_0 @ SV3 ) )
= $false )
| ( ( m1_subset_1 @ SV109 @ ( u1_struct_0 @ SV3 ) )
= $false )
| ( ( v4_group_1 @ SV3 )
= $false )
| ( ( v3_struct_0 @ SV3 )
= $true )
| ( ( v3_group_1 @ SV3 )
= $false )
| ( ( l1_group_1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7348]) ).
thf(7409,plain,
! [SV156: $i,SV111: $i,SV5: $i] :
( ( ( ( k2_group_3 @ SV5 @ ( k2_group_3 @ SV5 @ SV111 @ SV156 ) @ ( k3_group_1 @ SV5 @ SV156 ) )
!= SV111 )
= $false )
| ( ( m1_subset_1 @ SV156 @ ( u1_struct_0 @ SV5 ) )
= $false )
| ( ( m1_subset_1 @ SV111 @ ( u1_struct_0 @ SV5 ) )
= $false )
| ( ( v4_group_1 @ SV5 )
= $false )
| ( ( v3_struct_0 @ SV5 )
= $true )
| ( ( v3_group_1 @ SV5 )
= $false )
| ( ( l1_group_1 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7349]) ).
thf(7410,plain,
! [SV156: $i,SV111: $i,SV5: $i] :
( ( ( ( k2_group_3 @ SV5 @ ( k2_group_3 @ SV5 @ SV111 @ ( k3_group_1 @ SV5 @ SV156 ) ) @ SV156 )
!= SV111 )
= $false )
| ( ( m1_subset_1 @ SV156 @ ( u1_struct_0 @ SV5 ) )
= $false )
| ( ( m1_subset_1 @ SV111 @ ( u1_struct_0 @ SV5 ) )
= $false )
| ( ( v4_group_1 @ SV5 )
= $false )
| ( ( v3_struct_0 @ SV5 )
= $true )
| ( ( v3_group_1 @ SV5 )
= $false )
| ( ( l1_group_1 @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7349]) ).
thf(7411,plain,
! [SV157: $i,SV114: $i,SV8: $i,SV186: $i] :
( ( ( ~ ( m1_subset_1 @ SV186 @ ( u1_struct_0 @ SV8 ) ) )
= $true )
| ( ( ~ ( ( ( k1_group_1 @ SV8 @ SV114 @ SV157 )
= ( k1_group_1 @ SV8 @ SV114 @ SV186 ) )
| ( ( k1_group_1 @ SV8 @ SV157 @ SV114 )
= ( k1_group_1 @ SV8 @ SV186 @ SV114 ) ) )
| ( SV157 = SV186 ) )
= $true )
| ( ( m1_subset_1 @ SV157 @ ( u1_struct_0 @ SV8 ) )
= $false )
| ( ( m1_subset_1 @ SV114 @ ( u1_struct_0 @ SV8 ) )
= $false )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7350]) ).
thf(7412,plain,
! [SV158: $i,SV115: $i,SV10: $i] :
( ( ( ~ ( ( ( k1_group_1 @ SV10 @ SV115 @ SV158 )
!= ( k1_group_1 @ SV10 @ SV158 @ SV115 ) )
| ( ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SV115 ) @ ( k3_group_1 @ SV10 @ SV158 ) )
= ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SV158 ) @ ( k3_group_1 @ SV10 @ SV115 ) ) ) ) )
= $false )
| ( ( m1_subset_1 @ SV158 @ ( u1_struct_0 @ SV10 ) )
= $false )
| ( ( m1_subset_1 @ SV115 @ ( u1_struct_0 @ SV10 ) )
= $false )
| ( ( v4_group_1 @ SV10 )
= $false )
| ( ( v3_struct_0 @ SV10 )
= $true )
| ( ( v3_group_1 @ SV10 )
= $false )
| ( ( l1_group_1 @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7351]) ).
thf(7413,plain,
! [SV158: $i,SV115: $i,SV10: $i] :
( ( ( ~ ( ( ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SV115 ) @ ( k3_group_1 @ SV10 @ SV158 ) )
!= ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SV158 ) @ ( k3_group_1 @ SV10 @ SV115 ) ) )
| ( ( k1_group_1 @ SV10 @ SV115 @ SV158 )
= ( k1_group_1 @ SV10 @ SV158 @ SV115 ) ) ) )
= $false )
| ( ( m1_subset_1 @ SV158 @ ( u1_struct_0 @ SV10 ) )
= $false )
| ( ( m1_subset_1 @ SV115 @ ( u1_struct_0 @ SV10 ) )
= $false )
| ( ( v4_group_1 @ SV10 )
= $false )
| ( ( v3_struct_0 @ SV10 )
= $true )
| ( ( v3_group_1 @ SV10 )
= $false )
| ( ( l1_group_1 @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7351]) ).
thf(7414,plain,
! [SV11: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k3_autgroup @ SV11 ) )
| ~ ( v1_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( v3_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( v4_group_1 @ ( k3_autgroup @ SV11 ) ) )
= $false )
| ( ( v4_group_1 @ SV11 )
= $false )
| ( ( v1_group_1 @ SV11 )
= $false )
| ( ( v3_struct_0 @ SV11 )
= $true )
| ( ( v3_group_1 @ SV11 )
= $false )
| ( ( l1_group_1 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7352]) ).
thf(7415,plain,
! [SV159: $i,SV116: $i,SV13: $i] :
( ( ( ~ ~ ( ( ( k3_group_5 @ SV13 @ SV116 @ SV159 @ ( k2_group_1 @ SV13 ) )
!= ( k2_group_1 @ SV13 ) )
| ( ( k3_group_5 @ SV13 @ SV116 @ ( k2_group_1 @ SV13 ) @ SV159 )
!= ( k2_group_1 @ SV13 ) ) ) )
= $false )
| ( ( m1_subset_1 @ SV159 @ ( u1_struct_0 @ SV13 ) )
= $false )
| ( ( m1_subset_1 @ SV116 @ ( u1_struct_0 @ SV13 ) )
= $false )
| ( ( v4_group_1 @ SV13 )
= $false )
| ( ( v3_struct_0 @ SV13 )
= $true )
| ( ( v3_group_1 @ SV13 )
= $false )
| ( ( l1_group_1 @ SV13 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7354]) ).
thf(7416,plain,
! [SV159: $i,SV116: $i,SV13: $i] :
( ( ( ( k3_group_5 @ SV13 @ ( k2_group_1 @ SV13 ) @ SV116 @ SV159 )
!= ( k2_group_1 @ SV13 ) )
= $false )
| ( ( m1_subset_1 @ SV159 @ ( u1_struct_0 @ SV13 ) )
= $false )
| ( ( m1_subset_1 @ SV116 @ ( u1_struct_0 @ SV13 ) )
= $false )
| ( ( v4_group_1 @ SV13 )
= $false )
| ( ( v3_struct_0 @ SV13 )
= $true )
| ( ( v3_group_1 @ SV13 )
= $false )
| ( ( l1_group_1 @ SV13 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7354]) ).
thf(7417,plain,
! [SV161: $i,SV16: $i] :
( ( ( ~ ~ ( ( ( k1_group_1 @ SV16 @ SV161 @ ( sK19_SY243 @ SV16 ) )
!= SV161 )
| ( ( k1_group_1 @ SV16 @ ( sK19_SY243 @ SV16 ) @ SV161 )
!= SV161 ) ) )
= $false )
| ( ( m1_subset_1 @ SV161 @ ( u1_struct_0 @ SV16 ) )
= $false )
| ( ( v3_group_1 @ SV16 )
= $false )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7355]) ).
thf(7418,plain,
! [SV161: $i,SV16: $i] :
( ( ( ~ ~ ! [SY439: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY439 @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ SV161 @ SY439 )
!= ( sK19_SY243 @ SV16 ) ) )
| ( ( k1_group_1 @ SV16 @ SY439 @ SV161 )
!= ( sK19_SY243 @ SV16 ) ) ) )
= $false )
| ( ( m1_subset_1 @ SV161 @ ( u1_struct_0 @ SV16 ) )
= $false )
| ( ( v3_group_1 @ SV16 )
= $false )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7355]) ).
thf(7419,plain,
! [SV106: $i,SV16: $i] :
( ( ( ~ ~ ( ( ( k1_group_1 @ SV16 @ ( sK30_SY385 @ SV106 @ SV16 ) @ SV106 )
!= ( sK30_SY385 @ SV106 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ SV106 @ ( sK30_SY385 @ SV106 @ SV16 ) )
!= ( sK30_SY385 @ SV106 @ SV16 ) ) ) )
= $true )
| ( ( ~ ~ ! [SY453: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY453 @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ ( sK30_SY385 @ SV106 @ SV16 ) @ SY453 )
!= SV106 ) )
| ( ( k1_group_1 @ SV16 @ SY453 @ ( sK30_SY385 @ SV106 @ SV16 ) )
!= SV106 ) ) )
= $true )
| ( ( m1_subset_1 @ SV106 @ ( u1_struct_0 @ SV16 ) )
= $false )
| ( ( v3_group_1 @ SV16 )
= $true )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7357]) ).
thf(7420,plain,
! [SV162: $i,SV118: $i,SV17: $i] :
( ( ( ( k2_group_3 @ SV17 @ SV118 @ SV162 )
= ( k2_group_1 @ SV17 ) )
= $false )
| ( ( SV118
= ( k2_group_1 @ SV17 ) )
= $true )
| ( ( m1_subset_1 @ SV162 @ ( u1_struct_0 @ SV17 ) )
= $false )
| ( ( m1_subset_1 @ SV118 @ ( u1_struct_0 @ SV17 ) )
= $false )
| ( ( v4_group_1 @ SV17 )
= $false )
| ( ( v3_struct_0 @ SV17 )
= $true )
| ( ( v3_group_1 @ SV17 )
= $false )
| ( ( l1_group_1 @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7358]) ).
thf(7421,plain,
! [SV92: $i,SV79: $i,SV19: $i] :
( ( ( l1_group_1 @ SV19 )
= $false )
| ( ( v3_group_1 @ SV19 )
= $false )
| ( ( v3_struct_0 @ SV19 )
= $true )
| ( ( v4_group_1 @ SV19 )
= $false )
| ( ( ~ ( m1_subset_1 @ SV79 @ ( u1_struct_0 @ SV19 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV92 @ ( u1_struct_0 @ SV19 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k2_group_3 @ SV19 @ SV79 @ SV92 ) @ ( u1_struct_0 @ SV19 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7359]) ).
thf(7422,plain,
! [SV163: $i,SV120: $i,SV21: $i,SV187: $i] :
( ( ( ~ ( m1_subset_1 @ SV187 @ ( u1_struct_0 @ SV21 ) ) )
= $true )
| ( ( ~ ~ ( ~ ( r2_group_3 @ SV21 @ SV120 @ SV163 )
| ~ ( r2_group_3 @ SV21 @ SV163 @ SV187 ) )
| ( r2_group_3 @ SV21 @ SV120 @ SV187 ) )
= $true )
| ( ( m1_subset_1 @ SV163 @ ( u1_struct_0 @ SV21 ) )
= $false )
| ( ( m1_subset_1 @ SV120 @ ( u1_struct_0 @ SV21 ) )
= $false )
| ( ( v4_group_1 @ SV21 )
= $false )
| ( ( v3_struct_0 @ SV21 )
= $true )
| ( ( v3_group_1 @ SV21 )
= $false )
| ( ( l1_group_1 @ SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7360]) ).
thf(7423,plain,
! [SV22: $i,SV183: $i] :
( ( ( ~ ( v1_group_1 @ SV183 )
| ~ ( m1_group_2 @ SV183 @ SV22 ) )
= $true )
| ( ( ( ( u1_struct_0 @ SV183 )
!= ( u1_struct_0 @ SV22 ) )
| ( SV183 = SV22 ) )
= $true )
| ( ( v4_group_1 @ SV22 )
= $false )
| ( ( v1_group_1 @ SV22 )
= $false )
| ( ( v3_struct_0 @ SV22 )
= $true )
| ( ( v3_group_1 @ SV22 )
= $false )
| ( ( l1_group_1 @ SV22 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7361]) ).
thf(7424,plain,
! [SV164: $i,SV121: $i,SV23: $i] :
( ( ( ~ ( ( ( k1_group_1 @ SV23 @ SV121 @ SV164 )
!= ( k1_group_1 @ SV23 @ SV164 @ SV121 ) )
| ( ( k3_group_1 @ SV23 @ ( k1_group_1 @ SV23 @ SV121 @ SV164 ) )
= ( k1_group_1 @ SV23 @ ( k3_group_1 @ SV23 @ SV121 ) @ ( k3_group_1 @ SV23 @ SV164 ) ) ) ) )
= $false )
| ( ( m1_subset_1 @ SV164 @ ( u1_struct_0 @ SV23 ) )
= $false )
| ( ( m1_subset_1 @ SV121 @ ( u1_struct_0 @ SV23 ) )
= $false )
| ( ( v4_group_1 @ SV23 )
= $false )
| ( ( v3_struct_0 @ SV23 )
= $true )
| ( ( v3_group_1 @ SV23 )
= $false )
| ( ( l1_group_1 @ SV23 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7362]) ).
thf(7425,plain,
! [SV164: $i,SV121: $i,SV23: $i] :
( ( ( ~ ( ( ( k3_group_1 @ SV23 @ ( k1_group_1 @ SV23 @ SV121 @ SV164 ) )
!= ( k1_group_1 @ SV23 @ ( k3_group_1 @ SV23 @ SV121 ) @ ( k3_group_1 @ SV23 @ SV164 ) ) )
| ( ( k1_group_1 @ SV23 @ SV121 @ SV164 )
= ( k1_group_1 @ SV23 @ SV164 @ SV121 ) ) ) )
= $false )
| ( ( m1_subset_1 @ SV164 @ ( u1_struct_0 @ SV23 ) )
= $false )
| ( ( m1_subset_1 @ SV121 @ ( u1_struct_0 @ SV23 ) )
= $false )
| ( ( v4_group_1 @ SV23 )
= $false )
| ( ( v3_struct_0 @ SV23 )
= $true )
| ( ( v3_group_1 @ SV23 )
= $false )
| ( ( l1_group_1 @ SV23 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7362]) ).
thf(7426,plain,
! [SV26: $i,SV123: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV123 )
| ~ ( v3_group_1 @ SV123 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV123 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV123 ) )
= $true )
| ( ( ! [SY403: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY403 )
| ~ ( v3_group_1 @ SY403 ) )
| ~ ( v4_group_1 @ SY403 ) )
| ~ ( l1_group_1 @ SY403 ) )
| ~ ~ ( ~ ( m1_group_2 @ SV26 @ SV123 )
| ~ ( m1_group_2 @ SV123 @ SY403 ) )
| ( m1_group_2 @ SV26 @ SY403 ) ) )
= $true )
| ( ( v4_group_1 @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( v3_group_1 @ SV26 )
= $false )
| ( ( l1_group_1 @ SV26 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7363]) ).
thf(7427,plain,
! [SV28: $i] :
( ( ( ~ ( v4_group_1 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ ( sK16_SY265 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( m1_subset_1 @ ( sK28_SY430 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7366]) ).
thf(7428,plain,
! [SV28: $i] :
( ( ( ~ ( v3_group_1 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ ( sK16_SY265 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( m1_subset_1 @ ( sK28_SY430 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7366]) ).
thf(7429,plain,
! [SV28: $i] :
( ( ( ~ ! [SY441: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY441 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ ( sK23_SY268 @ SV28 ) @ SY441 )
!= ( sK28_SY430 @ SV28 ) ) ) )
= $false )
| ( ( ~ ~ ! [SY442: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY442 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY442 @ ( sK23_SY268 @ SV28 ) )
!= ( sK28_SY430 @ SV28 ) ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK16_SY265 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7367]) ).
thf(7430,plain,
! [SV28: $i] :
( ( ( ~ ( v4_group_1 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ ( sK21_SY377 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( m1_subset_1 @ ( sK29_SY268 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7368]) ).
thf(7431,plain,
! [SV28: $i] :
( ( ( ~ ( v3_group_1 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ ( sK21_SY377 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( m1_subset_1 @ ( sK29_SY268 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7368]) ).
thf(7432,plain,
! [SV28: $i] :
( ( ( m1_subset_1 @ ( sK33_SY443 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( m1_subset_1 @ ( sK21_SY377 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7369]) ).
thf(7433,plain,
! [SV28: $i] :
( ( ( ~ ~ ! [SY458: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY458 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ ( sK29_SY268 @ SV28 ) @ SY458 )
!= ( sK33_SY443 @ SV28 ) ) )
| ~ ~ ! [SY459: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY459 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY459 @ ( sK29_SY268 @ SV28 ) )
!= ( sK33_SY443 @ SV28 ) ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK21_SY377 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7370]) ).
thf(7434,plain,
! [SV28: $i] :
( ( ( m1_subset_1 @ ( sK34_SY268 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( m1_subset_1 @ ( sK24_SY389 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7371]) ).
thf(7435,plain,
! [SV28: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK38_SY460 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
| ~ ( ~ ~ ! [SY467: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY467 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ ( sK34_SY268 @ SV28 ) @ SY467 )
!= ( sK38_SY460 @ SV28 ) ) )
| ~ ~ ! [SY468: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY468 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY468 @ ( sK34_SY268 @ SV28 ) )
!= ( sK38_SY460 @ SV28 ) ) ) ) )
= $false )
| ( ( m1_subset_1 @ ( sK24_SY389 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[7372]) ).
thf(7436,plain,
! [SV28: $i] :
( ( ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( sK21_SY377 @ SV28 ) ) @ ( sK24_SY389 @ SV28 ) )
= ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( k1_group_1 @ SV28 @ ( sK21_SY377 @ SV28 ) @ ( sK24_SY389 @ SV28 ) ) ) )
= $false )
| ( ( m1_subset_1 @ ( sK31_SY268 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7373]) ).
thf(7437,plain,
! [SV28: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK36_SY454 @ SV28 ) @ ( u1_struct_0 @ SV28 ) ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( sK21_SY377 @ SV28 ) ) @ ( sK24_SY389 @ SV28 ) )
= ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( k1_group_1 @ SV28 @ ( sK21_SY377 @ SV28 ) @ ( sK24_SY389 @ SV28 ) ) ) )
= $false )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7374]) ).
thf(7438,plain,
! [SV28: $i] :
( ( ( ~ ( ~ ~ ! [SY464: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY464 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ ( sK31_SY268 @ SV28 ) @ SY464 )
!= ( sK36_SY454 @ SV28 ) ) )
| ~ ~ ! [SY465: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY465 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY465 @ ( sK31_SY268 @ SV28 ) )
!= ( sK36_SY454 @ SV28 ) ) ) ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( sK21_SY377 @ SV28 ) ) @ ( sK24_SY389 @ SV28 ) )
= ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( k1_group_1 @ SV28 @ ( sK21_SY377 @ SV28 ) @ ( sK24_SY389 @ SV28 ) ) ) )
= $false )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7374]) ).
thf(7439,plain,
! [SV93: $i,SV81: $i,SV29: $i] :
( ( ( l1_group_1 @ SV29 )
= $false )
| ( ( v3_group_1 @ SV29 )
= $false )
| ( ( v3_struct_0 @ SV29 )
= $true )
| ( ( v4_group_1 @ SV29 )
= $false )
| ( ( ~ ( m1_subset_1 @ SV81 @ ( u1_struct_0 @ SV29 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV93 @ ( u1_struct_0 @ SV29 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k2_group_5 @ SV29 @ SV81 @ SV93 ) @ ( u1_struct_0 @ SV29 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7375]) ).
thf(7440,plain,
! [SV94: $i,SV82: $i,SV30: $i] :
( ( ( l1_group_1 @ SV30 )
= $false )
| ( ( v3_group_1 @ SV30 )
= $false )
| ( ( v3_struct_0 @ SV30 )
= $true )
| ( ( v4_group_1 @ SV30 )
= $false )
| ( ( ~ ( m1_subset_1 @ SV82 @ ( u1_struct_0 @ SV30 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV94 @ ( u1_struct_0 @ SV30 ) ) )
= $true )
| ( ( r2_group_3 @ SV30 @ SV82 @ SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7376]) ).
thf(7441,plain,
! [SV165: $i,SV124: $i,SV31: $i] :
( ( ( ( k3_group_1 @ SV31 @ SV124 )
= ( k3_group_1 @ SV31 @ SV165 ) )
= $false )
| ( ( SV124 = SV165 )
= $true )
| ( ( m1_subset_1 @ SV165 @ ( u1_struct_0 @ SV31 ) )
= $false )
| ( ( m1_subset_1 @ SV124 @ ( u1_struct_0 @ SV31 ) )
= $false )
| ( ( v4_group_1 @ SV31 )
= $false )
| ( ( v3_struct_0 @ SV31 )
= $true )
| ( ( v3_group_1 @ SV31 )
= $false )
| ( ( l1_group_1 @ SV31 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7377]) ).
thf(7442,plain,
! [SV166: $i,SV126: $i,SV33: $i,SV188: $i] :
( ( ( ~ ( m1_subset_1 @ SV188 @ ( u1_struct_0 @ SV33 ) ) )
= $true )
| ( ( ( ( k2_group_3 @ SV33 @ SV126 @ SV166 )
!= ( k2_group_3 @ SV33 @ SV188 @ SV166 ) )
| ( SV126 = SV188 ) )
= $true )
| ( ( m1_subset_1 @ SV166 @ ( u1_struct_0 @ SV33 ) )
= $false )
| ( ( m1_subset_1 @ SV126 @ ( u1_struct_0 @ SV33 ) )
= $false )
| ( ( v4_group_1 @ SV33 )
= $false )
| ( ( v3_struct_0 @ SV33 )
= $true )
| ( ( v3_group_1 @ SV33 )
= $false )
| ( ( l1_group_1 @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7378]) ).
thf(7443,plain,
! [SV167: $i,SV127: $i,SV34: $i] :
( ( ( ( ( k1_group_1 @ SV34 @ SV127 @ SV167 )
= ( k2_group_1 @ SV34 ) )
| ( ( k1_group_1 @ SV34 @ SV167 @ SV127 )
= ( k2_group_1 @ SV34 ) ) )
= $false )
| ( ( ~ ( ( SV127
!= ( k3_group_1 @ SV34 @ SV167 ) )
| ( SV167
!= ( k3_group_1 @ SV34 @ SV127 ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV167 @ ( u1_struct_0 @ SV34 ) )
= $false )
| ( ( m1_subset_1 @ SV127 @ ( u1_struct_0 @ SV34 ) )
= $false )
| ( ( v4_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7379]) ).
thf(7444,plain,
! [SV83: $i,SV35: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV35 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV35 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV35 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV35 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV83 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV83 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV83 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV83 ) )
= $true )
| ( ( r1_group_6 @ SV35 @ SV35 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7380]) ).
thf(7445,plain,
! [SV168: $i,SV128: $i,SV36: $i,SV189: $i] :
( ( ( ~ ( m1_subset_1 @ SV189 @ ( u1_struct_0 @ SV36 ) ) )
= $true )
| ( ( ~ ( ~ ( ( ( k1_group_1 @ SV36 @ SV128 @ SV168 )
!= SV189 )
| ( SV128
= ( k1_group_1 @ SV36 @ SV189 @ ( k3_group_1 @ SV36 @ SV168 ) ) ) )
| ~ ( ( SV128
!= ( k1_group_1 @ SV36 @ SV189 @ ( k3_group_1 @ SV36 @ SV168 ) ) )
| ( ( k1_group_1 @ SV36 @ SV128 @ SV168 )
= SV189 ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV168 @ ( u1_struct_0 @ SV36 ) )
= $false )
| ( ( m1_subset_1 @ SV128 @ ( u1_struct_0 @ SV36 ) )
= $false )
| ( ( v4_group_1 @ SV36 )
= $false )
| ( ( v3_struct_0 @ SV36 )
= $true )
| ( ( v3_group_1 @ SV36 )
= $false )
| ( ( l1_group_1 @ SV36 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7381]) ).
thf(7446,plain,
! [SV98: $i,SV95: $i,SV84: $i,SV47: $i] :
( ( ( ~ ( v3_struct_0 @ SV47 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV47 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV47 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV47 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV84 @ ( u1_struct_0 @ SV47 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV95 @ ( u1_struct_0 @ SV47 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV98 @ ( u1_struct_0 @ SV47 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k3_group_5 @ SV47 @ SV84 @ SV95 @ SV98 ) @ ( u1_struct_0 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7383]) ).
thf(7447,plain,
! [SV48: $i,SV134: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV134 )
| ~ ( v3_group_1 @ SV134 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV134 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV134 ) )
= $true )
| ( ( ! [SY414: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY414 )
| ~ ( v3_group_1 @ SY414 ) )
| ~ ( v4_group_1 @ SY414 ) )
| ~ ( l1_group_1 @ SY414 ) )
| ~ ~ ( ~ ( r1_group_6 @ SV48 @ SV134 )
| ~ ( r1_group_6 @ SV134 @ SY414 ) )
| ( r1_group_6 @ SV48 @ SY414 ) ) )
= $true )
| ( ( v4_group_1 @ SV48 )
= $false )
| ( ( v3_struct_0 @ SV48 )
= $true )
| ( ( v3_group_1 @ SV48 )
= $false )
| ( ( l1_group_1 @ SV48 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7384]) ).
thf(7448,plain,
! [SV96: $i,SV86: $i,SV51: $i] :
( ( ( l1_group_1 @ SV51 )
= $false )
| ( ( v3_group_1 @ SV51 )
= $false )
| ( ( v3_struct_0 @ SV51 )
= $true )
| ( ( v4_group_1 @ SV51 )
= $false )
| ( ( ~ ( m1_subset_1 @ SV86 @ ( u1_struct_0 @ SV51 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV96 @ ( u1_struct_0 @ SV51 ) ) )
= $true )
| ( ( ~ ( r2_group_3 @ SV51 @ SV86 @ SV96 )
| ( r2_group_3 @ SV51 @ SV96 @ SV86 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7385]) ).
thf(7449,plain,
! [SV52: $i,SV184: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV184 )
| ~ ( v1_group_1 @ SV184 ) )
| ~ ( v3_group_1 @ SV184 ) )
| ~ ( v4_group_1 @ SV184 ) )
| ~ ( l1_group_1 @ SV184 ) )
= $true )
| ( ( ~ ( r1_group_6 @ SV52 @ SV184 )
| ( r1_group_6 @ SV184 @ SV52 ) )
= $true )
| ( ( v4_group_1 @ SV52 )
= $false )
| ( ( v1_group_1 @ SV52 )
= $false )
| ( ( v3_struct_0 @ SV52 )
= $true )
| ( ( v3_group_1 @ SV52 )
= $false )
| ( ( l1_group_1 @ SV52 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7386]) ).
thf(7450,plain,
! [SV173: $i,SV136: $i,SV54: $i] :
( ( ( ~ ( ( ( k1_group_1 @ SV54 @ SV136 @ SV173 )
!= ( k1_group_1 @ SV54 @ SV173 @ SV136 ) )
| ( ( k1_group_1 @ SV54 @ SV136 @ ( k3_group_1 @ SV54 @ SV173 ) )
= ( k1_group_1 @ SV54 @ ( k3_group_1 @ SV54 @ SV173 ) @ SV136 ) ) ) )
= $false )
| ( ( m1_subset_1 @ SV173 @ ( u1_struct_0 @ SV54 ) )
= $false )
| ( ( m1_subset_1 @ SV136 @ ( u1_struct_0 @ SV54 ) )
= $false )
| ( ( v4_group_1 @ SV54 )
= $false )
| ( ( v3_struct_0 @ SV54 )
= $true )
| ( ( v3_group_1 @ SV54 )
= $false )
| ( ( l1_group_1 @ SV54 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7387]) ).
thf(7451,plain,
! [SV173: $i,SV136: $i,SV54: $i] :
( ( ( ~ ( ( ( k1_group_1 @ SV54 @ SV136 @ ( k3_group_1 @ SV54 @ SV173 ) )
!= ( k1_group_1 @ SV54 @ ( k3_group_1 @ SV54 @ SV173 ) @ SV136 ) )
| ( ( k1_group_1 @ SV54 @ SV136 @ SV173 )
= ( k1_group_1 @ SV54 @ SV173 @ SV136 ) ) ) )
= $false )
| ( ( m1_subset_1 @ SV173 @ ( u1_struct_0 @ SV54 ) )
= $false )
| ( ( m1_subset_1 @ SV136 @ ( u1_struct_0 @ SV54 ) )
= $false )
| ( ( v4_group_1 @ SV54 )
= $false )
| ( ( v3_struct_0 @ SV54 )
= $true )
| ( ( v3_group_1 @ SV54 )
= $false )
| ( ( l1_group_1 @ SV54 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7387]) ).
thf(7452,plain,
! [SV55: $i,SV137: $i,SV174: $i,SV190: $i] :
( ( ( ~ ( m1_subset_1 @ SV190 @ ( u1_struct_0 @ SV174 ) ) )
= $true )
| ( ( ( SV190 != SV137 )
| ( ( k3_group_1 @ SV174 @ SV190 )
= ( k3_group_1 @ SV55 @ SV137 ) ) )
= $true )
| ( ( m1_group_2 @ SV174 @ SV55 )
= $false )
| ( ( m1_subset_1 @ SV137 @ ( u1_struct_0 @ SV55 ) )
= $false )
| ( ( v4_group_1 @ SV55 )
= $false )
| ( ( v3_struct_0 @ SV55 )
= $true )
| ( ( v3_group_1 @ SV55 )
= $false )
| ( ( l1_group_1 @ SV55 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7388]) ).
thf(7453,plain,
! [SV175: $i,SV138: $i,SV56: $i] :
( ( ( ~ ( ( ( k1_group_1 @ SV56 @ SV138 @ SV175 )
!= ( k2_group_1 @ SV56 ) )
| ( ( k1_group_1 @ SV56 @ SV175 @ SV138 )
!= ( k2_group_1 @ SV56 ) ) ) )
= $false )
| ( ( SV175
= ( k3_group_1 @ SV56 @ SV138 ) )
= $true )
| ( ( m1_subset_1 @ SV175 @ ( u1_struct_0 @ SV56 ) )
= $false )
| ( ( m1_subset_1 @ SV138 @ ( u1_struct_0 @ SV56 ) )
= $false )
| ( ( v4_group_1 @ SV56 )
= $false )
| ( ( v3_struct_0 @ SV56 )
= $true )
| ( ( v3_group_1 @ SV56 )
= $false )
| ( ( l1_group_1 @ SV56 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7389]) ).
thf(7454,plain,
! [SV59: $i,SV140: $i,SV176: $i] :
( ( ( ~ ~ ( ~ ( m1_subset_1 @ ( sK39_SY449 @ SV176 @ SV140 @ SV59 ) @ ( u1_struct_0 @ SV59 ) )
| ( ( k1_group_1 @ SV59 @ SV140 @ ( sK39_SY449 @ SV176 @ SV140 @ SV59 ) )
!= SV176 ) ) )
= $false )
| ( ( m1_subset_1 @ SV176 @ ( u1_struct_0 @ SV59 ) )
= $false )
| ( ( m1_subset_1 @ SV140 @ ( u1_struct_0 @ SV59 ) )
= $false )
| ( ( v4_group_1 @ SV59 )
= $false )
| ( ( v3_struct_0 @ SV59 )
= $true )
| ( ( v3_group_1 @ SV59 )
= $false )
| ( ( l1_group_1 @ SV59 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[7390]) ).
thf(7455,plain,
! [SV141: $i,SV60: $i,SV177: $i] :
( ( ( ~ ( ( SV177
!= ( k3_group_1 @ SV60 @ SV141 ) )
| ~ ( ( ( k1_group_1 @ SV60 @ SV141 @ SV177 )
!= ( k2_group_1 @ SV60 ) )
| ( ( k1_group_1 @ SV60 @ SV177 @ SV141 )
!= ( k2_group_1 @ SV60 ) ) ) ) )
= $false )
| ( ( m1_subset_1 @ SV177 @ ( u1_struct_0 @ SV60 ) )
= $false )
| ( ( m1_subset_1 @ SV141 @ ( u1_struct_0 @ SV60 ) )
= $false )
| ( ( v4_group_1 @ SV60 )
= $false )
| ( ( v3_struct_0 @ SV60 )
= $true )
| ( ( v3_group_1 @ SV60 )
= $false )
| ( ( l1_group_1 @ SV60 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7391]) ).
thf(7456,plain,
! [SV177: $i,SV141: $i,SV60: $i] :
( ( ( ~ ( ~ ~ ( ( ( k1_group_1 @ SV60 @ SV141 @ SV177 )
!= ( k2_group_1 @ SV60 ) )
| ( ( k1_group_1 @ SV60 @ SV177 @ SV141 )
!= ( k2_group_1 @ SV60 ) ) )
| ( SV177
= ( k3_group_1 @ SV60 @ SV141 ) ) ) )
= $false )
| ( ( m1_subset_1 @ SV177 @ ( u1_struct_0 @ SV60 ) )
= $false )
| ( ( m1_subset_1 @ SV141 @ ( u1_struct_0 @ SV60 ) )
= $false )
| ( ( v4_group_1 @ SV60 )
= $false )
| ( ( v3_struct_0 @ SV60 )
= $true )
| ( ( v3_group_1 @ SV60 )
= $false )
| ( ( l1_group_1 @ SV60 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7391]) ).
thf(7457,plain,
! [SV87: $i,SV61: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV61 )
| ~ ( v1_group_1 @ SV61 ) )
| ~ ( v3_group_1 @ SV61 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV61 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV61 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV87 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( r2_group_6 @ SV61 @ SV87 )
| ( r2_group_6 @ SV87 @ SV61 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7392]) ).
thf(7458,plain,
! [SV178: $i,SV143: $i,SV66: $i] :
( ( ( r1_group_3 @ SV66 @ SV143 @ SV178 )
= $false )
| ( ( r1_group_3 @ SV66 @ SV178 @ SV143 )
= $true )
| ( ( m1_subset_1 @ SV178 @ ( u1_struct_0 @ SV66 ) )
= $false )
| ( ( m1_subset_1 @ SV143 @ ( u1_struct_0 @ SV66 ) )
= $false )
| ( ( v4_group_1 @ SV66 )
= $false )
| ( ( v3_struct_0 @ SV66 )
= $true )
| ( ( v3_group_1 @ SV66 )
= $false )
| ( ( l1_group_1 @ SV66 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7394]) ).
thf(7459,plain,
! [SV107: $i,SV70: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ SV107 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ ( sK27_SY387 @ SV107 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( m1_subset_1 @ ( sK14_SY342 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7395]) ).
thf(7460,plain,
! [SV107: $i,SV70: $i] :
( ( ( l1_group_1 @ SV70 )
= $true )
| ( ( m1_subset_1 @ SV107 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ ( sK27_SY387 @ SV107 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( m1_subset_1 @ ( sK14_SY342 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7396]) ).
thf(7461,plain,
! [SV107: $i,SV70: $i] :
( ( ( ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SV107 )
!= ( sK27_SY387 @ SV107 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ SV107 @ ( sK27_SY387 @ SV107 @ SV70 ) )
!= ( sK27_SY387 @ SV107 @ SV70 ) ) )
= $true )
| ( ( ~ ~ ! [SY435: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY435 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SY435 )
!= SV107 ) )
| ( ( k1_group_1 @ SV70 @ SY435 @ ( sK27_SY387 @ SV107 @ SV70 ) )
!= SV107 ) ) )
= $true )
| ( ( m1_subset_1 @ SV107 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK14_SY342 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7397]) ).
thf(7462,plain,
! [SV146: $i,SV70: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV146 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ ( sK32_SY423 @ SV146 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( m1_subset_1 @ ( sK15_SY372 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7398]) ).
thf(7463,plain,
! [SV146: $i,SV70: $i] :
( ( ( ~ ~ ( ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SV146 )
!= ( sK32_SY423 @ SV146 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ SV146 @ ( sK32_SY423 @ SV146 @ SV70 ) )
!= ( sK32_SY423 @ SV146 @ SV70 ) ) ) )
= $true )
| ( ( ~ ~ ! [SY457: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY457 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SY457 )
!= SV146 ) )
| ( ( k1_group_1 @ SV70 @ SY457 @ ( sK32_SY423 @ SV146 @ SV70 ) )
!= SV146 ) ) )
= $true )
| ( ( m1_subset_1 @ SV146 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK15_SY372 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7399]) ).
thf(7464,plain,
! [SV70: $i,SV153: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK37_SY436 @ SV153 @ SV70 ) @ ( u1_struct_0 @ SV70 ) ) )
= $false )
| ( ( m1_subset_1 @ SV153 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK20_SY376 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7400]) ).
thf(7465,plain,
! [SV153: $i,SV70: $i] :
( ( ( ~ ( ~ ~ ( ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SV153 )
!= ( sK37_SY436 @ SV153 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ SV153 @ ( sK37_SY436 @ SV153 @ SV70 ) )
!= ( sK37_SY436 @ SV153 @ SV70 ) ) )
| ~ ~ ! [SY466: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY466 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SY466 )
!= SV153 ) )
| ( ( k1_group_1 @ SV70 @ SY466 @ ( sK37_SY436 @ SV153 @ SV70 ) )
!= SV153 ) ) ) )
= $false )
| ( ( m1_subset_1 @ SV153 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK20_SY376 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7400]) ).
thf(7466,plain,
! [SV70: $i,SV152: $i] :
( ( ( m1_subset_1 @ ( sK35_SY433 @ SV152 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( sK15_SY372 @ SV70 ) ) @ ( sK20_SY376 @ SV70 ) )
= ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( k1_group_1 @ SV70 @ ( sK15_SY372 @ SV70 ) @ ( sK20_SY376 @ SV70 ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7401]) ).
thf(7467,plain,
! [SV152: $i,SV70: $i] :
( ( ( ~ ~ ( ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SV152 )
!= ( sK35_SY433 @ SV152 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ SV152 @ ( sK35_SY433 @ SV152 @ SV70 ) )
!= ( sK35_SY433 @ SV152 @ SV70 ) ) )
| ~ ~ ! [SY463: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY463 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SY463 )
!= SV152 ) )
| ( ( k1_group_1 @ SV70 @ SY463 @ ( sK35_SY433 @ SV152 @ SV70 ) )
!= SV152 ) ) )
= $true )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( sK15_SY372 @ SV70 ) ) @ ( sK20_SY376 @ SV70 ) )
= ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( k1_group_1 @ SV70 @ ( sK15_SY372 @ SV70 ) @ ( sK20_SY376 @ SV70 ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7402]) ).
thf(7468,plain,
! [SV179: $i,SV147: $i,SV71: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV147 @ SV179 ) @ ( k3_group_1 @ SV71 @ SV179 ) )
!= SV147 )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV147 @ ( k3_group_1 @ SV71 @ SV179 ) ) @ SV179 )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SV179 ) @ SV179 ) @ SV147 )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV179 @ ( k3_group_1 @ SV71 @ SV179 ) ) @ SV147 )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ SV147 @ ( k1_group_1 @ SV71 @ SV179 @ ( k3_group_1 @ SV71 @ SV179 ) ) )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ SV147 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SV179 ) @ SV179 ) )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SV179 ) @ ( k1_group_1 @ SV71 @ SV179 @ SV147 ) )
!= SV147 ) ) )
= $false )
| ( ( m1_subset_1 @ SV179 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( m1_subset_1 @ SV147 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( v4_group_1 @ SV71 )
= $false )
| ( ( v3_struct_0 @ SV71 )
= $true )
| ( ( v3_group_1 @ SV71 )
= $false )
| ( ( l1_group_1 @ SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7403]) ).
thf(7469,plain,
! [SV147: $i,SV179: $i,SV71: $i] :
( ( ( ( k1_group_1 @ SV71 @ SV179 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SV179 ) @ SV147 ) )
!= SV147 )
= $false )
| ( ( m1_subset_1 @ SV179 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( m1_subset_1 @ SV147 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( v4_group_1 @ SV71 )
= $false )
| ( ( v3_struct_0 @ SV71 )
= $true )
| ( ( v3_group_1 @ SV71 )
= $false )
| ( ( l1_group_1 @ SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7403]) ).
thf(7470,plain,
! [SV91: $i,SV72: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV72 )
| ~ ( v1_group_1 @ SV72 ) )
| ~ ( v3_group_1 @ SV72 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV72 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV72 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV91 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV91 ) )
= $true )
| ( ( r2_group_6 @ SV72 @ SV72 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7404]) ).
thf(7471,plain,
! [SV180: $i,SV149: $i,SV74: $i,SV191: $i] :
( ( ( ~ ( m1_subset_1 @ SV191 @ ( u1_struct_0 @ SV74 ) ) )
= $true )
| ( ( ~ ( ~ ( ( ( k1_group_1 @ SV74 @ SV149 @ SV180 )
!= SV191 )
| ( SV180
= ( k1_group_1 @ SV74 @ ( k3_group_1 @ SV74 @ SV149 ) @ SV191 ) ) )
| ~ ( ( SV180
!= ( k1_group_1 @ SV74 @ ( k3_group_1 @ SV74 @ SV149 ) @ SV191 ) )
| ( ( k1_group_1 @ SV74 @ SV149 @ SV180 )
= SV191 ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV180 @ ( u1_struct_0 @ SV74 ) )
= $false )
| ( ( m1_subset_1 @ SV149 @ ( u1_struct_0 @ SV74 ) )
= $false )
| ( ( v4_group_1 @ SV74 )
= $false )
| ( ( v3_struct_0 @ SV74 )
= $true )
| ( ( v3_group_1 @ SV74 )
= $false )
| ( ( l1_group_1 @ SV74 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7405]) ).
thf(7472,plain,
! [SV77: $i,SV151: $i,SV181: $i] :
( ( ( ~ ~ ( ~ ( m1_subset_1 @ ( sK40_SY451 @ SV181 @ SV151 @ SV77 ) @ ( u1_struct_0 @ SV77 ) )
| ( ( k1_group_1 @ SV77 @ ( sK40_SY451 @ SV181 @ SV151 @ SV77 ) @ SV151 )
!= SV181 ) ) )
= $false )
| ( ( m1_subset_1 @ SV181 @ ( u1_struct_0 @ SV77 ) )
= $false )
| ( ( m1_subset_1 @ SV151 @ ( u1_struct_0 @ SV77 ) )
= $false )
| ( ( v4_group_1 @ SV77 )
= $false )
| ( ( v3_struct_0 @ SV77 )
= $true )
| ( ( v3_group_1 @ SV77 )
= $false )
| ( ( l1_group_1 @ SV77 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[7406]) ).
thf(7473,plain,
! [SV182: $i,SV2: $i,SV192: $i] :
( ( ( ~ ( m1_subset_1 @ SV192 @ ( u1_struct_0 @ SV2 ) ) )
= $true )
| ( ( ( k6_autgroup @ SV2 @ ( k1_group_1 @ SV2 @ SV182 @ SV192 ) )
= ( k7_funct_2 @ ( u1_struct_0 @ SV2 ) @ ( u1_struct_0 @ SV2 ) @ ( u1_struct_0 @ SV2 ) @ ( k6_autgroup @ SV2 @ SV182 ) @ ( k6_autgroup @ SV2 @ SV192 ) ) )
= $true )
| ( ( m1_subset_1 @ SV182 @ ( u1_struct_0 @ SV2 ) )
= $false )
| ( ( v4_group_1 @ SV2 )
= $false )
| ( ( v1_group_1 @ SV2 )
= $false )
| ( ( v3_struct_0 @ SV2 )
= $true )
| ( ( v3_group_1 @ SV2 )
= $false )
| ( ( l1_group_1 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7407]) ).
thf(7474,plain,
! [SV154: $i,SV109: $i,SV3: $i] :
( ( ( ( k1_group_1 @ SV3 @ SV109 @ SV154 )
= SV109 )
= $false )
| ( ( SV154
= ( k2_group_1 @ SV3 ) )
= $true )
| ( ( m1_subset_1 @ SV154 @ ( u1_struct_0 @ SV3 ) )
= $false )
| ( ( m1_subset_1 @ SV109 @ ( u1_struct_0 @ SV3 ) )
= $false )
| ( ( v4_group_1 @ SV3 )
= $false )
| ( ( v3_struct_0 @ SV3 )
= $true )
| ( ( v3_group_1 @ SV3 )
= $false )
| ( ( l1_group_1 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7408]) ).
thf(7475,plain,
! [SV109: $i,SV154: $i,SV3: $i] :
( ( ( ( k1_group_1 @ SV3 @ SV154 @ SV109 )
= SV109 )
= $false )
| ( ( SV154
= ( k2_group_1 @ SV3 ) )
= $true )
| ( ( m1_subset_1 @ SV154 @ ( u1_struct_0 @ SV3 ) )
= $false )
| ( ( m1_subset_1 @ SV109 @ ( u1_struct_0 @ SV3 ) )
= $false )
| ( ( v4_group_1 @ SV3 )
= $false )
| ( ( v3_struct_0 @ SV3 )
= $true )
| ( ( v3_group_1 @ SV3 )
= $false )
| ( ( l1_group_1 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7408]) ).
thf(7476,plain,
! [SV156: $i,SV111: $i,SV5: $i] :
( ( ( ( k2_group_3 @ SV5 @ ( k2_group_3 @ SV5 @ SV111 @ SV156 ) @ ( k3_group_1 @ SV5 @ SV156 ) )
= SV111 )
= $true )
| ( ( m1_subset_1 @ SV156 @ ( u1_struct_0 @ SV5 ) )
= $false )
| ( ( m1_subset_1 @ SV111 @ ( u1_struct_0 @ SV5 ) )
= $false )
| ( ( v4_group_1 @ SV5 )
= $false )
| ( ( v3_struct_0 @ SV5 )
= $true )
| ( ( v3_group_1 @ SV5 )
= $false )
| ( ( l1_group_1 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7409]) ).
thf(7477,plain,
! [SV156: $i,SV111: $i,SV5: $i] :
( ( ( ( k2_group_3 @ SV5 @ ( k2_group_3 @ SV5 @ SV111 @ ( k3_group_1 @ SV5 @ SV156 ) ) @ SV156 )
= SV111 )
= $true )
| ( ( m1_subset_1 @ SV156 @ ( u1_struct_0 @ SV5 ) )
= $false )
| ( ( m1_subset_1 @ SV111 @ ( u1_struct_0 @ SV5 ) )
= $false )
| ( ( v4_group_1 @ SV5 )
= $false )
| ( ( v3_struct_0 @ SV5 )
= $true )
| ( ( v3_group_1 @ SV5 )
= $false )
| ( ( l1_group_1 @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7410]) ).
thf(7478,plain,
! [SV157: $i,SV114: $i,SV8: $i,SV186: $i] :
( ( ( m1_subset_1 @ SV186 @ ( u1_struct_0 @ SV8 ) )
= $false )
| ( ( ~ ( ( ( k1_group_1 @ SV8 @ SV114 @ SV157 )
= ( k1_group_1 @ SV8 @ SV114 @ SV186 ) )
| ( ( k1_group_1 @ SV8 @ SV157 @ SV114 )
= ( k1_group_1 @ SV8 @ SV186 @ SV114 ) ) )
| ( SV157 = SV186 ) )
= $true )
| ( ( m1_subset_1 @ SV157 @ ( u1_struct_0 @ SV8 ) )
= $false )
| ( ( m1_subset_1 @ SV114 @ ( u1_struct_0 @ SV8 ) )
= $false )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7411]) ).
thf(7479,plain,
! [SV158: $i,SV115: $i,SV10: $i] :
( ( ( ( ( k1_group_1 @ SV10 @ SV115 @ SV158 )
!= ( k1_group_1 @ SV10 @ SV158 @ SV115 ) )
| ( ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SV115 ) @ ( k3_group_1 @ SV10 @ SV158 ) )
= ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SV158 ) @ ( k3_group_1 @ SV10 @ SV115 ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV158 @ ( u1_struct_0 @ SV10 ) )
= $false )
| ( ( m1_subset_1 @ SV115 @ ( u1_struct_0 @ SV10 ) )
= $false )
| ( ( v4_group_1 @ SV10 )
= $false )
| ( ( v3_struct_0 @ SV10 )
= $true )
| ( ( v3_group_1 @ SV10 )
= $false )
| ( ( l1_group_1 @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7412]) ).
thf(7480,plain,
! [SV158: $i,SV115: $i,SV10: $i] :
( ( ( ( ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SV115 ) @ ( k3_group_1 @ SV10 @ SV158 ) )
!= ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SV158 ) @ ( k3_group_1 @ SV10 @ SV115 ) ) )
| ( ( k1_group_1 @ SV10 @ SV115 @ SV158 )
= ( k1_group_1 @ SV10 @ SV158 @ SV115 ) ) )
= $true )
| ( ( m1_subset_1 @ SV158 @ ( u1_struct_0 @ SV10 ) )
= $false )
| ( ( m1_subset_1 @ SV115 @ ( u1_struct_0 @ SV10 ) )
= $false )
| ( ( v4_group_1 @ SV10 )
= $false )
| ( ( v3_struct_0 @ SV10 )
= $true )
| ( ( v3_group_1 @ SV10 )
= $false )
| ( ( l1_group_1 @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7413]) ).
thf(7481,plain,
! [SV11: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k3_autgroup @ SV11 ) )
| ~ ( v1_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( v3_group_1 @ ( k3_autgroup @ SV11 ) ) ) )
= $false )
| ( ( v4_group_1 @ SV11 )
= $false )
| ( ( v1_group_1 @ SV11 )
= $false )
| ( ( v3_struct_0 @ SV11 )
= $true )
| ( ( v3_group_1 @ SV11 )
= $false )
| ( ( l1_group_1 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7414]) ).
thf(7482,plain,
! [SV11: $i] :
( ( ( ~ ( v4_group_1 @ ( k3_autgroup @ SV11 ) ) )
= $false )
| ( ( v4_group_1 @ SV11 )
= $false )
| ( ( v1_group_1 @ SV11 )
= $false )
| ( ( v3_struct_0 @ SV11 )
= $true )
| ( ( v3_group_1 @ SV11 )
= $false )
| ( ( l1_group_1 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7414]) ).
thf(7483,plain,
! [SV159: $i,SV116: $i,SV13: $i] :
( ( ( ~ ( ( ( k3_group_5 @ SV13 @ SV116 @ SV159 @ ( k2_group_1 @ SV13 ) )
!= ( k2_group_1 @ SV13 ) )
| ( ( k3_group_5 @ SV13 @ SV116 @ ( k2_group_1 @ SV13 ) @ SV159 )
!= ( k2_group_1 @ SV13 ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV159 @ ( u1_struct_0 @ SV13 ) )
= $false )
| ( ( m1_subset_1 @ SV116 @ ( u1_struct_0 @ SV13 ) )
= $false )
| ( ( v4_group_1 @ SV13 )
= $false )
| ( ( v3_struct_0 @ SV13 )
= $true )
| ( ( v3_group_1 @ SV13 )
= $false )
| ( ( l1_group_1 @ SV13 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7415]) ).
thf(7484,plain,
! [SV159: $i,SV116: $i,SV13: $i] :
( ( ( ( k3_group_5 @ SV13 @ ( k2_group_1 @ SV13 ) @ SV116 @ SV159 )
= ( k2_group_1 @ SV13 ) )
= $true )
| ( ( m1_subset_1 @ SV159 @ ( u1_struct_0 @ SV13 ) )
= $false )
| ( ( m1_subset_1 @ SV116 @ ( u1_struct_0 @ SV13 ) )
= $false )
| ( ( v4_group_1 @ SV13 )
= $false )
| ( ( v3_struct_0 @ SV13 )
= $true )
| ( ( v3_group_1 @ SV13 )
= $false )
| ( ( l1_group_1 @ SV13 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7416]) ).
thf(7485,plain,
! [SV161: $i,SV16: $i] :
( ( ( ~ ( ( ( k1_group_1 @ SV16 @ SV161 @ ( sK19_SY243 @ SV16 ) )
!= SV161 )
| ( ( k1_group_1 @ SV16 @ ( sK19_SY243 @ SV16 ) @ SV161 )
!= SV161 ) ) )
= $true )
| ( ( m1_subset_1 @ SV161 @ ( u1_struct_0 @ SV16 ) )
= $false )
| ( ( v3_group_1 @ SV16 )
= $false )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7417]) ).
thf(7486,plain,
! [SV161: $i,SV16: $i] :
( ( ( ~ ! [SY439: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY439 @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ SV161 @ SY439 )
!= ( sK19_SY243 @ SV16 ) ) )
| ( ( k1_group_1 @ SV16 @ SY439 @ SV161 )
!= ( sK19_SY243 @ SV16 ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV161 @ ( u1_struct_0 @ SV16 ) )
= $false )
| ( ( v3_group_1 @ SV16 )
= $false )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7418]) ).
thf(7487,plain,
! [SV106: $i,SV16: $i] :
( ( ( ~ ( ( ( k1_group_1 @ SV16 @ ( sK30_SY385 @ SV106 @ SV16 ) @ SV106 )
!= ( sK30_SY385 @ SV106 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ SV106 @ ( sK30_SY385 @ SV106 @ SV16 ) )
!= ( sK30_SY385 @ SV106 @ SV16 ) ) ) )
= $false )
| ( ( ~ ~ ! [SY453: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY453 @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ ( sK30_SY385 @ SV106 @ SV16 ) @ SY453 )
!= SV106 ) )
| ( ( k1_group_1 @ SV16 @ SY453 @ ( sK30_SY385 @ SV106 @ SV16 ) )
!= SV106 ) ) )
= $true )
| ( ( m1_subset_1 @ SV106 @ ( u1_struct_0 @ SV16 ) )
= $false )
| ( ( v3_group_1 @ SV16 )
= $true )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7419]) ).
thf(7488,plain,
! [SV92: $i,SV19: $i,SV79: $i] :
( ( ( m1_subset_1 @ SV79 @ ( u1_struct_0 @ SV19 ) )
= $false )
| ( ( v4_group_1 @ SV19 )
= $false )
| ( ( v3_struct_0 @ SV19 )
= $true )
| ( ( v3_group_1 @ SV19 )
= $false )
| ( ( l1_group_1 @ SV19 )
= $false )
| ( ( ~ ( m1_subset_1 @ SV92 @ ( u1_struct_0 @ SV19 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k2_group_3 @ SV19 @ SV79 @ SV92 ) @ ( u1_struct_0 @ SV19 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7421]) ).
thf(7489,plain,
! [SV163: $i,SV120: $i,SV21: $i,SV187: $i] :
( ( ( m1_subset_1 @ SV187 @ ( u1_struct_0 @ SV21 ) )
= $false )
| ( ( ~ ~ ( ~ ( r2_group_3 @ SV21 @ SV120 @ SV163 )
| ~ ( r2_group_3 @ SV21 @ SV163 @ SV187 ) )
| ( r2_group_3 @ SV21 @ SV120 @ SV187 ) )
= $true )
| ( ( m1_subset_1 @ SV163 @ ( u1_struct_0 @ SV21 ) )
= $false )
| ( ( m1_subset_1 @ SV120 @ ( u1_struct_0 @ SV21 ) )
= $false )
| ( ( v4_group_1 @ SV21 )
= $false )
| ( ( v3_struct_0 @ SV21 )
= $true )
| ( ( v3_group_1 @ SV21 )
= $false )
| ( ( l1_group_1 @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7422]) ).
thf(7490,plain,
! [SV22: $i,SV183: $i] :
( ( ( ~ ( v1_group_1 @ SV183 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV183 @ SV22 ) )
= $true )
| ( ( ( ( u1_struct_0 @ SV183 )
!= ( u1_struct_0 @ SV22 ) )
| ( SV183 = SV22 ) )
= $true )
| ( ( v4_group_1 @ SV22 )
= $false )
| ( ( v1_group_1 @ SV22 )
= $false )
| ( ( v3_struct_0 @ SV22 )
= $true )
| ( ( v3_group_1 @ SV22 )
= $false )
| ( ( l1_group_1 @ SV22 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7423]) ).
thf(7491,plain,
! [SV164: $i,SV121: $i,SV23: $i] :
( ( ( ( ( k1_group_1 @ SV23 @ SV121 @ SV164 )
!= ( k1_group_1 @ SV23 @ SV164 @ SV121 ) )
| ( ( k3_group_1 @ SV23 @ ( k1_group_1 @ SV23 @ SV121 @ SV164 ) )
= ( k1_group_1 @ SV23 @ ( k3_group_1 @ SV23 @ SV121 ) @ ( k3_group_1 @ SV23 @ SV164 ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV164 @ ( u1_struct_0 @ SV23 ) )
= $false )
| ( ( m1_subset_1 @ SV121 @ ( u1_struct_0 @ SV23 ) )
= $false )
| ( ( v4_group_1 @ SV23 )
= $false )
| ( ( v3_struct_0 @ SV23 )
= $true )
| ( ( v3_group_1 @ SV23 )
= $false )
| ( ( l1_group_1 @ SV23 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7424]) ).
thf(7492,plain,
! [SV164: $i,SV121: $i,SV23: $i] :
( ( ( ( ( k3_group_1 @ SV23 @ ( k1_group_1 @ SV23 @ SV121 @ SV164 ) )
!= ( k1_group_1 @ SV23 @ ( k3_group_1 @ SV23 @ SV121 ) @ ( k3_group_1 @ SV23 @ SV164 ) ) )
| ( ( k1_group_1 @ SV23 @ SV121 @ SV164 )
= ( k1_group_1 @ SV23 @ SV164 @ SV121 ) ) )
= $true )
| ( ( m1_subset_1 @ SV164 @ ( u1_struct_0 @ SV23 ) )
= $false )
| ( ( m1_subset_1 @ SV121 @ ( u1_struct_0 @ SV23 ) )
= $false )
| ( ( v4_group_1 @ SV23 )
= $false )
| ( ( v3_struct_0 @ SV23 )
= $true )
| ( ( v3_group_1 @ SV23 )
= $false )
| ( ( l1_group_1 @ SV23 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7425]) ).
thf(7493,plain,
! [SV26: $i,SV123: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV123 )
| ~ ( v3_group_1 @ SV123 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV123 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV123 ) )
= $true )
| ( ( ! [SY403: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY403 )
| ~ ( v3_group_1 @ SY403 ) )
| ~ ( v4_group_1 @ SY403 ) )
| ~ ( l1_group_1 @ SY403 ) )
| ~ ~ ( ~ ( m1_group_2 @ SV26 @ SV123 )
| ~ ( m1_group_2 @ SV123 @ SY403 ) )
| ( m1_group_2 @ SV26 @ SY403 ) ) )
= $true )
| ( ( v4_group_1 @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( v3_group_1 @ SV26 )
= $false )
| ( ( l1_group_1 @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7426]) ).
thf(7494,plain,
! [SV28: $i] :
( ( ( v4_group_1 @ SV28 )
= $true )
| ( ( m1_subset_1 @ ( sK16_SY265 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( m1_subset_1 @ ( sK28_SY430 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7427]) ).
thf(7495,plain,
! [SV28: $i] :
( ( ( v3_group_1 @ SV28 )
= $true )
| ( ( m1_subset_1 @ ( sK16_SY265 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( m1_subset_1 @ ( sK28_SY430 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7428]) ).
thf(7496,plain,
! [SV28: $i] :
( ( ( ! [SY441: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY441 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ ( sK23_SY268 @ SV28 ) @ SY441 )
!= ( sK28_SY430 @ SV28 ) ) ) )
= $true )
| ( ( ~ ~ ! [SY442: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY442 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY442 @ ( sK23_SY268 @ SV28 ) )
!= ( sK28_SY430 @ SV28 ) ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK16_SY265 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7429]) ).
thf(7497,plain,
! [SV28: $i] :
( ( ( v4_group_1 @ SV28 )
= $true )
| ( ( m1_subset_1 @ ( sK21_SY377 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( m1_subset_1 @ ( sK29_SY268 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7430]) ).
thf(7498,plain,
! [SV28: $i] :
( ( ( v3_group_1 @ SV28 )
= $true )
| ( ( m1_subset_1 @ ( sK21_SY377 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( m1_subset_1 @ ( sK29_SY268 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7431]) ).
thf(7499,plain,
! [SV28: $i] :
( ( ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ ( sK21_SY377 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( m1_subset_1 @ ( sK33_SY443 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7432]) ).
thf(7500,plain,
! [SV28: $i] :
( ( ( ~ ~ ! [SY458: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY458 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ ( sK29_SY268 @ SV28 ) @ SY458 )
!= ( sK33_SY443 @ SV28 ) ) ) )
= $true )
| ( ( ~ ~ ! [SY459: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY459 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY459 @ ( sK29_SY268 @ SV28 ) )
!= ( sK33_SY443 @ SV28 ) ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK21_SY377 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7433]) ).
thf(7501,plain,
! [SV28: $i] :
( ( ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ ( sK24_SY389 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( m1_subset_1 @ ( sK34_SY268 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7434]) ).
thf(7502,plain,
! [SV28: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK38_SY460 @ SV28 ) @ ( u1_struct_0 @ SV28 ) ) )
= $false )
| ( ( m1_subset_1 @ ( sK24_SY389 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7435]) ).
thf(7503,plain,
! [SV28: $i] :
( ( ( ~ ( ~ ~ ! [SY467: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY467 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ ( sK34_SY268 @ SV28 ) @ SY467 )
!= ( sK38_SY460 @ SV28 ) ) )
| ~ ~ ! [SY468: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY468 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY468 @ ( sK34_SY268 @ SV28 ) )
!= ( sK38_SY460 @ SV28 ) ) ) ) )
= $false )
| ( ( m1_subset_1 @ ( sK24_SY389 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7435]) ).
thf(7504,plain,
! [SV28: $i] :
( ( ( ~ ( v4_group_1 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( sK21_SY377 @ SV28 ) ) @ ( sK24_SY389 @ SV28 ) )
= ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( k1_group_1 @ SV28 @ ( sK21_SY377 @ SV28 ) @ ( sK24_SY389 @ SV28 ) ) ) )
= $false )
| ( ( m1_subset_1 @ ( sK31_SY268 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7436]) ).
thf(7505,plain,
! [SV28: $i] :
( ( ( ~ ( v3_group_1 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( sK21_SY377 @ SV28 ) ) @ ( sK24_SY389 @ SV28 ) )
= ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( k1_group_1 @ SV28 @ ( sK21_SY377 @ SV28 ) @ ( sK24_SY389 @ SV28 ) ) ) )
= $false )
| ( ( m1_subset_1 @ ( sK31_SY268 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7436]) ).
thf(7506,plain,
! [SV28: $i] :
( ( ( m1_subset_1 @ ( sK36_SY454 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ( k1_group_1 @ SV28 @ ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( sK21_SY377 @ SV28 ) ) @ ( sK24_SY389 @ SV28 ) )
= ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( k1_group_1 @ SV28 @ ( sK21_SY377 @ SV28 ) @ ( sK24_SY389 @ SV28 ) ) ) )
= $false )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7437]) ).
thf(7507,plain,
! [SV28: $i] :
( ( ( ~ ~ ! [SY464: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY464 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ ( sK31_SY268 @ SV28 ) @ SY464 )
!= ( sK36_SY454 @ SV28 ) ) )
| ~ ~ ! [SY465: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY465 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY465 @ ( sK31_SY268 @ SV28 ) )
!= ( sK36_SY454 @ SV28 ) ) ) )
= $true )
| ( ( ( k1_group_1 @ SV28 @ ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( sK21_SY377 @ SV28 ) ) @ ( sK24_SY389 @ SV28 ) )
= ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( k1_group_1 @ SV28 @ ( sK21_SY377 @ SV28 ) @ ( sK24_SY389 @ SV28 ) ) ) )
= $false )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7438]) ).
thf(7508,plain,
! [SV93: $i,SV29: $i,SV81: $i] :
( ( ( m1_subset_1 @ SV81 @ ( u1_struct_0 @ SV29 ) )
= $false )
| ( ( v4_group_1 @ SV29 )
= $false )
| ( ( v3_struct_0 @ SV29 )
= $true )
| ( ( v3_group_1 @ SV29 )
= $false )
| ( ( l1_group_1 @ SV29 )
= $false )
| ( ( ~ ( m1_subset_1 @ SV93 @ ( u1_struct_0 @ SV29 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k2_group_5 @ SV29 @ SV81 @ SV93 ) @ ( u1_struct_0 @ SV29 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7439]) ).
thf(7509,plain,
! [SV94: $i,SV30: $i,SV82: $i] :
( ( ( m1_subset_1 @ SV82 @ ( u1_struct_0 @ SV30 ) )
= $false )
| ( ( v4_group_1 @ SV30 )
= $false )
| ( ( v3_struct_0 @ SV30 )
= $true )
| ( ( v3_group_1 @ SV30 )
= $false )
| ( ( l1_group_1 @ SV30 )
= $false )
| ( ( ~ ( m1_subset_1 @ SV94 @ ( u1_struct_0 @ SV30 ) ) )
= $true )
| ( ( r2_group_3 @ SV30 @ SV82 @ SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7440]) ).
thf(7510,plain,
! [SV166: $i,SV126: $i,SV33: $i,SV188: $i] :
( ( ( m1_subset_1 @ SV188 @ ( u1_struct_0 @ SV33 ) )
= $false )
| ( ( ( ( k2_group_3 @ SV33 @ SV126 @ SV166 )
!= ( k2_group_3 @ SV33 @ SV188 @ SV166 ) )
| ( SV126 = SV188 ) )
= $true )
| ( ( m1_subset_1 @ SV166 @ ( u1_struct_0 @ SV33 ) )
= $false )
| ( ( m1_subset_1 @ SV126 @ ( u1_struct_0 @ SV33 ) )
= $false )
| ( ( v4_group_1 @ SV33 )
= $false )
| ( ( v3_struct_0 @ SV33 )
= $true )
| ( ( v3_group_1 @ SV33 )
= $false )
| ( ( l1_group_1 @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7442]) ).
thf(7511,plain,
! [SV167: $i,SV127: $i,SV34: $i] :
( ( ( ( k1_group_1 @ SV34 @ SV127 @ SV167 )
= ( k2_group_1 @ SV34 ) )
= $false )
| ( ( ~ ( ( SV127
!= ( k3_group_1 @ SV34 @ SV167 ) )
| ( SV167
!= ( k3_group_1 @ SV34 @ SV127 ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV167 @ ( u1_struct_0 @ SV34 ) )
= $false )
| ( ( m1_subset_1 @ SV127 @ ( u1_struct_0 @ SV34 ) )
= $false )
| ( ( v4_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7443]) ).
thf(7512,plain,
! [SV127: $i,SV167: $i,SV34: $i] :
( ( ( ( k1_group_1 @ SV34 @ SV167 @ SV127 )
= ( k2_group_1 @ SV34 ) )
= $false )
| ( ( ~ ( ( SV127
!= ( k3_group_1 @ SV34 @ SV167 ) )
| ( SV167
!= ( k3_group_1 @ SV34 @ SV127 ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV167 @ ( u1_struct_0 @ SV34 ) )
= $false )
| ( ( m1_subset_1 @ SV127 @ ( u1_struct_0 @ SV34 ) )
= $false )
| ( ( v4_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7443]) ).
thf(7513,plain,
! [SV83: $i,SV35: $i] :
( ( ( ~ ( v3_struct_0 @ SV35 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV35 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV35 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV35 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV83 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV83 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV83 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV83 ) )
= $true )
| ( ( r1_group_6 @ SV35 @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7444]) ).
thf(7514,plain,
! [SV168: $i,SV128: $i,SV36: $i,SV189: $i] :
( ( ( m1_subset_1 @ SV189 @ ( u1_struct_0 @ SV36 ) )
= $false )
| ( ( ~ ( ~ ( ( ( k1_group_1 @ SV36 @ SV128 @ SV168 )
!= SV189 )
| ( SV128
= ( k1_group_1 @ SV36 @ SV189 @ ( k3_group_1 @ SV36 @ SV168 ) ) ) )
| ~ ( ( SV128
!= ( k1_group_1 @ SV36 @ SV189 @ ( k3_group_1 @ SV36 @ SV168 ) ) )
| ( ( k1_group_1 @ SV36 @ SV128 @ SV168 )
= SV189 ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV168 @ ( u1_struct_0 @ SV36 ) )
= $false )
| ( ( m1_subset_1 @ SV128 @ ( u1_struct_0 @ SV36 ) )
= $false )
| ( ( v4_group_1 @ SV36 )
= $false )
| ( ( v3_struct_0 @ SV36 )
= $true )
| ( ( v3_group_1 @ SV36 )
= $false )
| ( ( l1_group_1 @ SV36 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7445]) ).
thf(7515,plain,
! [SV98: $i,SV95: $i,SV84: $i,SV47: $i] :
( ( ( v3_struct_0 @ SV47 )
= $true )
| ( ( ~ ( v3_group_1 @ SV47 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV47 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV47 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV84 @ ( u1_struct_0 @ SV47 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV95 @ ( u1_struct_0 @ SV47 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV98 @ ( u1_struct_0 @ SV47 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k3_group_5 @ SV47 @ SV84 @ SV95 @ SV98 ) @ ( u1_struct_0 @ SV47 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7446]) ).
thf(7516,plain,
! [SV48: $i,SV134: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV134 )
| ~ ( v3_group_1 @ SV134 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV134 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV134 ) )
= $true )
| ( ( ! [SY414: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY414 )
| ~ ( v3_group_1 @ SY414 ) )
| ~ ( v4_group_1 @ SY414 ) )
| ~ ( l1_group_1 @ SY414 ) )
| ~ ~ ( ~ ( r1_group_6 @ SV48 @ SV134 )
| ~ ( r1_group_6 @ SV134 @ SY414 ) )
| ( r1_group_6 @ SV48 @ SY414 ) ) )
= $true )
| ( ( v4_group_1 @ SV48 )
= $false )
| ( ( v3_struct_0 @ SV48 )
= $true )
| ( ( v3_group_1 @ SV48 )
= $false )
| ( ( l1_group_1 @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7447]) ).
thf(7517,plain,
! [SV96: $i,SV51: $i,SV86: $i] :
( ( ( m1_subset_1 @ SV86 @ ( u1_struct_0 @ SV51 ) )
= $false )
| ( ( v4_group_1 @ SV51 )
= $false )
| ( ( v3_struct_0 @ SV51 )
= $true )
| ( ( v3_group_1 @ SV51 )
= $false )
| ( ( l1_group_1 @ SV51 )
= $false )
| ( ( ~ ( m1_subset_1 @ SV96 @ ( u1_struct_0 @ SV51 ) ) )
= $true )
| ( ( ~ ( r2_group_3 @ SV51 @ SV86 @ SV96 )
| ( r2_group_3 @ SV51 @ SV96 @ SV86 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7448]) ).
thf(7518,plain,
! [SV52: $i,SV184: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV184 )
| ~ ( v1_group_1 @ SV184 ) )
| ~ ( v3_group_1 @ SV184 ) )
| ~ ( v4_group_1 @ SV184 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV184 ) )
= $true )
| ( ( ~ ( r1_group_6 @ SV52 @ SV184 )
| ( r1_group_6 @ SV184 @ SV52 ) )
= $true )
| ( ( v4_group_1 @ SV52 )
= $false )
| ( ( v1_group_1 @ SV52 )
= $false )
| ( ( v3_struct_0 @ SV52 )
= $true )
| ( ( v3_group_1 @ SV52 )
= $false )
| ( ( l1_group_1 @ SV52 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7449]) ).
thf(7519,plain,
! [SV173: $i,SV136: $i,SV54: $i] :
( ( ( ( ( k1_group_1 @ SV54 @ SV136 @ SV173 )
!= ( k1_group_1 @ SV54 @ SV173 @ SV136 ) )
| ( ( k1_group_1 @ SV54 @ SV136 @ ( k3_group_1 @ SV54 @ SV173 ) )
= ( k1_group_1 @ SV54 @ ( k3_group_1 @ SV54 @ SV173 ) @ SV136 ) ) )
= $true )
| ( ( m1_subset_1 @ SV173 @ ( u1_struct_0 @ SV54 ) )
= $false )
| ( ( m1_subset_1 @ SV136 @ ( u1_struct_0 @ SV54 ) )
= $false )
| ( ( v4_group_1 @ SV54 )
= $false )
| ( ( v3_struct_0 @ SV54 )
= $true )
| ( ( v3_group_1 @ SV54 )
= $false )
| ( ( l1_group_1 @ SV54 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7450]) ).
thf(7520,plain,
! [SV173: $i,SV136: $i,SV54: $i] :
( ( ( ( ( k1_group_1 @ SV54 @ SV136 @ ( k3_group_1 @ SV54 @ SV173 ) )
!= ( k1_group_1 @ SV54 @ ( k3_group_1 @ SV54 @ SV173 ) @ SV136 ) )
| ( ( k1_group_1 @ SV54 @ SV136 @ SV173 )
= ( k1_group_1 @ SV54 @ SV173 @ SV136 ) ) )
= $true )
| ( ( m1_subset_1 @ SV173 @ ( u1_struct_0 @ SV54 ) )
= $false )
| ( ( m1_subset_1 @ SV136 @ ( u1_struct_0 @ SV54 ) )
= $false )
| ( ( v4_group_1 @ SV54 )
= $false )
| ( ( v3_struct_0 @ SV54 )
= $true )
| ( ( v3_group_1 @ SV54 )
= $false )
| ( ( l1_group_1 @ SV54 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7451]) ).
thf(7521,plain,
! [SV55: $i,SV137: $i,SV174: $i,SV190: $i] :
( ( ( m1_subset_1 @ SV190 @ ( u1_struct_0 @ SV174 ) )
= $false )
| ( ( ( SV190 != SV137 )
| ( ( k3_group_1 @ SV174 @ SV190 )
= ( k3_group_1 @ SV55 @ SV137 ) ) )
= $true )
| ( ( m1_group_2 @ SV174 @ SV55 )
= $false )
| ( ( m1_subset_1 @ SV137 @ ( u1_struct_0 @ SV55 ) )
= $false )
| ( ( v4_group_1 @ SV55 )
= $false )
| ( ( v3_struct_0 @ SV55 )
= $true )
| ( ( v3_group_1 @ SV55 )
= $false )
| ( ( l1_group_1 @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7452]) ).
thf(7522,plain,
! [SV175: $i,SV138: $i,SV56: $i] :
( ( ( ( ( k1_group_1 @ SV56 @ SV138 @ SV175 )
!= ( k2_group_1 @ SV56 ) )
| ( ( k1_group_1 @ SV56 @ SV175 @ SV138 )
!= ( k2_group_1 @ SV56 ) ) )
= $true )
| ( ( SV175
= ( k3_group_1 @ SV56 @ SV138 ) )
= $true )
| ( ( m1_subset_1 @ SV175 @ ( u1_struct_0 @ SV56 ) )
= $false )
| ( ( m1_subset_1 @ SV138 @ ( u1_struct_0 @ SV56 ) )
= $false )
| ( ( v4_group_1 @ SV56 )
= $false )
| ( ( v3_struct_0 @ SV56 )
= $true )
| ( ( v3_group_1 @ SV56 )
= $false )
| ( ( l1_group_1 @ SV56 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7453]) ).
thf(7523,plain,
! [SV59: $i,SV140: $i,SV176: $i] :
( ( ( ~ ( ~ ( m1_subset_1 @ ( sK39_SY449 @ SV176 @ SV140 @ SV59 ) @ ( u1_struct_0 @ SV59 ) )
| ( ( k1_group_1 @ SV59 @ SV140 @ ( sK39_SY449 @ SV176 @ SV140 @ SV59 ) )
!= SV176 ) ) )
= $true )
| ( ( m1_subset_1 @ SV176 @ ( u1_struct_0 @ SV59 ) )
= $false )
| ( ( m1_subset_1 @ SV140 @ ( u1_struct_0 @ SV59 ) )
= $false )
| ( ( v4_group_1 @ SV59 )
= $false )
| ( ( v3_struct_0 @ SV59 )
= $true )
| ( ( v3_group_1 @ SV59 )
= $false )
| ( ( l1_group_1 @ SV59 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7454]) ).
thf(7524,plain,
! [SV141: $i,SV60: $i,SV177: $i] :
( ( ( ( SV177
!= ( k3_group_1 @ SV60 @ SV141 ) )
| ~ ( ( ( k1_group_1 @ SV60 @ SV141 @ SV177 )
!= ( k2_group_1 @ SV60 ) )
| ( ( k1_group_1 @ SV60 @ SV177 @ SV141 )
!= ( k2_group_1 @ SV60 ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV177 @ ( u1_struct_0 @ SV60 ) )
= $false )
| ( ( m1_subset_1 @ SV141 @ ( u1_struct_0 @ SV60 ) )
= $false )
| ( ( v4_group_1 @ SV60 )
= $false )
| ( ( v3_struct_0 @ SV60 )
= $true )
| ( ( v3_group_1 @ SV60 )
= $false )
| ( ( l1_group_1 @ SV60 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7455]) ).
thf(7525,plain,
! [SV177: $i,SV141: $i,SV60: $i] :
( ( ( ~ ~ ( ( ( k1_group_1 @ SV60 @ SV141 @ SV177 )
!= ( k2_group_1 @ SV60 ) )
| ( ( k1_group_1 @ SV60 @ SV177 @ SV141 )
!= ( k2_group_1 @ SV60 ) ) )
| ( SV177
= ( k3_group_1 @ SV60 @ SV141 ) ) )
= $true )
| ( ( m1_subset_1 @ SV177 @ ( u1_struct_0 @ SV60 ) )
= $false )
| ( ( m1_subset_1 @ SV141 @ ( u1_struct_0 @ SV60 ) )
= $false )
| ( ( v4_group_1 @ SV60 )
= $false )
| ( ( v3_struct_0 @ SV60 )
= $true )
| ( ( v3_group_1 @ SV60 )
= $false )
| ( ( l1_group_1 @ SV60 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7456]) ).
thf(7526,plain,
! [SV87: $i,SV61: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV61 )
| ~ ( v1_group_1 @ SV61 ) )
| ~ ( v3_group_1 @ SV61 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV61 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV61 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV87 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( r2_group_6 @ SV61 @ SV87 )
| ( r2_group_6 @ SV87 @ SV61 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7457]) ).
thf(7527,plain,
! [SV107: $i,SV70: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV107 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ ( sK27_SY387 @ SV107 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( m1_subset_1 @ ( sK14_SY342 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7459]) ).
thf(7528,plain,
! [SV107: $i,SV70: $i] :
( ( ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SV107 )
!= ( sK27_SY387 @ SV107 @ SV70 ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ SV107 @ ( sK27_SY387 @ SV107 @ SV70 ) )
!= ( sK27_SY387 @ SV107 @ SV70 ) )
= $true )
| ( ( ~ ~ ! [SY435: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY435 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SY435 )
!= SV107 ) )
| ( ( k1_group_1 @ SV70 @ SY435 @ ( sK27_SY387 @ SV107 @ SV70 ) )
!= SV107 ) ) )
= $true )
| ( ( m1_subset_1 @ SV107 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK14_SY342 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7461]) ).
thf(7529,plain,
! [SV146: $i,SV70: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) ) )
= $false )
| ( ( m1_subset_1 @ SV146 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ ( sK32_SY423 @ SV146 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( m1_subset_1 @ ( sK15_SY372 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7462]) ).
thf(7530,plain,
! [SV146: $i,SV70: $i] :
( ( ( ~ ( l1_group_1 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV146 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ ( sK32_SY423 @ SV146 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( m1_subset_1 @ ( sK15_SY372 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7462]) ).
thf(7531,plain,
! [SV146: $i,SV70: $i] :
( ( ( ~ ( ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SV146 )
!= ( sK32_SY423 @ SV146 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ SV146 @ ( sK32_SY423 @ SV146 @ SV70 ) )
!= ( sK32_SY423 @ SV146 @ SV70 ) ) ) )
= $false )
| ( ( ~ ~ ! [SY457: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY457 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SY457 )
!= SV146 ) )
| ( ( k1_group_1 @ SV70 @ SY457 @ ( sK32_SY423 @ SV146 @ SV70 ) )
!= SV146 ) ) )
= $true )
| ( ( m1_subset_1 @ SV146 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK15_SY372 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7463]) ).
thf(7532,plain,
! [SV70: $i,SV153: $i] :
( ( ( m1_subset_1 @ ( sK37_SY436 @ SV153 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( m1_subset_1 @ SV153 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK20_SY376 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7464]) ).
thf(7533,plain,
! [SV153: $i,SV70: $i] :
( ( ( ~ ~ ( ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SV153 )
!= ( sK37_SY436 @ SV153 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ SV153 @ ( sK37_SY436 @ SV153 @ SV70 ) )
!= ( sK37_SY436 @ SV153 @ SV70 ) ) )
| ~ ~ ! [SY466: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY466 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SY466 )
!= SV153 ) )
| ( ( k1_group_1 @ SV70 @ SY466 @ ( sK37_SY436 @ SV153 @ SV70 ) )
!= SV153 ) ) )
= $true )
| ( ( m1_subset_1 @ SV153 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK20_SY376 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7465]) ).
thf(7534,plain,
! [SV152: $i,SV70: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ ( sK35_SY433 @ SV152 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( sK15_SY372 @ SV70 ) ) @ ( sK20_SY376 @ SV70 ) )
= ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( k1_group_1 @ SV70 @ ( sK15_SY372 @ SV70 ) @ ( sK20_SY376 @ SV70 ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7466]) ).
thf(7535,plain,
! [SV152: $i,SV70: $i] :
( ( ( ~ ~ ( ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SV152 )
!= ( sK35_SY433 @ SV152 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ SV152 @ ( sK35_SY433 @ SV152 @ SV70 ) )
!= ( sK35_SY433 @ SV152 @ SV70 ) ) ) )
= $true )
| ( ( ~ ~ ! [SY463: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY463 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SY463 )
!= SV152 ) )
| ( ( k1_group_1 @ SV70 @ SY463 @ ( sK35_SY433 @ SV152 @ SV70 ) )
!= SV152 ) ) )
= $true )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( sK15_SY372 @ SV70 ) ) @ ( sK20_SY376 @ SV70 ) )
= ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( k1_group_1 @ SV70 @ ( sK15_SY372 @ SV70 ) @ ( sK20_SY376 @ SV70 ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7467]) ).
thf(7536,plain,
! [SV179: $i,SV147: $i,SV71: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV147 @ SV179 ) @ ( k3_group_1 @ SV71 @ SV179 ) )
!= SV147 )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV147 @ ( k3_group_1 @ SV71 @ SV179 ) ) @ SV179 )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SV179 ) @ SV179 ) @ SV147 )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV179 @ ( k3_group_1 @ SV71 @ SV179 ) ) @ SV147 )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ SV147 @ ( k1_group_1 @ SV71 @ SV179 @ ( k3_group_1 @ SV71 @ SV179 ) ) )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ SV147 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SV179 ) @ SV179 ) )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SV179 ) @ ( k1_group_1 @ SV71 @ SV179 @ SV147 ) )
!= SV147 ) ) )
= $true )
| ( ( m1_subset_1 @ SV179 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( m1_subset_1 @ SV147 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( v4_group_1 @ SV71 )
= $false )
| ( ( v3_struct_0 @ SV71 )
= $true )
| ( ( v3_group_1 @ SV71 )
= $false )
| ( ( l1_group_1 @ SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7468]) ).
thf(7537,plain,
! [SV147: $i,SV179: $i,SV71: $i] :
( ( ( ( k1_group_1 @ SV71 @ SV179 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SV179 ) @ SV147 ) )
= SV147 )
= $true )
| ( ( m1_subset_1 @ SV179 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( m1_subset_1 @ SV147 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( v4_group_1 @ SV71 )
= $false )
| ( ( v3_struct_0 @ SV71 )
= $true )
| ( ( v3_group_1 @ SV71 )
= $false )
| ( ( l1_group_1 @ SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7469]) ).
thf(7538,plain,
! [SV91: $i,SV72: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV72 )
| ~ ( v1_group_1 @ SV72 ) )
| ~ ( v3_group_1 @ SV72 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV72 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV72 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV91 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV91 ) )
= $true )
| ( ( r2_group_6 @ SV72 @ SV72 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7470]) ).
thf(7539,plain,
! [SV180: $i,SV149: $i,SV74: $i,SV191: $i] :
( ( ( m1_subset_1 @ SV191 @ ( u1_struct_0 @ SV74 ) )
= $false )
| ( ( ~ ( ~ ( ( ( k1_group_1 @ SV74 @ SV149 @ SV180 )
!= SV191 )
| ( SV180
= ( k1_group_1 @ SV74 @ ( k3_group_1 @ SV74 @ SV149 ) @ SV191 ) ) )
| ~ ( ( SV180
!= ( k1_group_1 @ SV74 @ ( k3_group_1 @ SV74 @ SV149 ) @ SV191 ) )
| ( ( k1_group_1 @ SV74 @ SV149 @ SV180 )
= SV191 ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV180 @ ( u1_struct_0 @ SV74 ) )
= $false )
| ( ( m1_subset_1 @ SV149 @ ( u1_struct_0 @ SV74 ) )
= $false )
| ( ( v4_group_1 @ SV74 )
= $false )
| ( ( v3_struct_0 @ SV74 )
= $true )
| ( ( v3_group_1 @ SV74 )
= $false )
| ( ( l1_group_1 @ SV74 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7471]) ).
thf(7540,plain,
! [SV77: $i,SV151: $i,SV181: $i] :
( ( ( ~ ( ~ ( m1_subset_1 @ ( sK40_SY451 @ SV181 @ SV151 @ SV77 ) @ ( u1_struct_0 @ SV77 ) )
| ( ( k1_group_1 @ SV77 @ ( sK40_SY451 @ SV181 @ SV151 @ SV77 ) @ SV151 )
!= SV181 ) ) )
= $true )
| ( ( m1_subset_1 @ SV181 @ ( u1_struct_0 @ SV77 ) )
= $false )
| ( ( m1_subset_1 @ SV151 @ ( u1_struct_0 @ SV77 ) )
= $false )
| ( ( v4_group_1 @ SV77 )
= $false )
| ( ( v3_struct_0 @ SV77 )
= $true )
| ( ( v3_group_1 @ SV77 )
= $false )
| ( ( l1_group_1 @ SV77 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7472]) ).
thf(7541,plain,
! [SV182: $i,SV2: $i,SV192: $i] :
( ( ( m1_subset_1 @ SV192 @ ( u1_struct_0 @ SV2 ) )
= $false )
| ( ( ( k6_autgroup @ SV2 @ ( k1_group_1 @ SV2 @ SV182 @ SV192 ) )
= ( k7_funct_2 @ ( u1_struct_0 @ SV2 ) @ ( u1_struct_0 @ SV2 ) @ ( u1_struct_0 @ SV2 ) @ ( k6_autgroup @ SV2 @ SV182 ) @ ( k6_autgroup @ SV2 @ SV192 ) ) )
= $true )
| ( ( m1_subset_1 @ SV182 @ ( u1_struct_0 @ SV2 ) )
= $false )
| ( ( v4_group_1 @ SV2 )
= $false )
| ( ( v1_group_1 @ SV2 )
= $false )
| ( ( v3_struct_0 @ SV2 )
= $true )
| ( ( v3_group_1 @ SV2 )
= $false )
| ( ( l1_group_1 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7473]) ).
thf(7542,plain,
! [SV186: $i,SV157: $i,SV114: $i,SV8: $i] :
( ( ( ~ ( ( ( k1_group_1 @ SV8 @ SV114 @ SV157 )
= ( k1_group_1 @ SV8 @ SV114 @ SV186 ) )
| ( ( k1_group_1 @ SV8 @ SV157 @ SV114 )
= ( k1_group_1 @ SV8 @ SV186 @ SV114 ) ) ) )
= $true )
| ( ( SV157 = SV186 )
= $true )
| ( ( m1_subset_1 @ SV186 @ ( u1_struct_0 @ SV8 ) )
= $false )
| ( ( m1_subset_1 @ SV157 @ ( u1_struct_0 @ SV8 ) )
= $false )
| ( ( m1_subset_1 @ SV114 @ ( u1_struct_0 @ SV8 ) )
= $false )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7478]) ).
thf(7543,plain,
! [SV158: $i,SV115: $i,SV10: $i] :
( ( ( ( k1_group_1 @ SV10 @ SV115 @ SV158 )
!= ( k1_group_1 @ SV10 @ SV158 @ SV115 ) )
= $true )
| ( ( ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SV115 ) @ ( k3_group_1 @ SV10 @ SV158 ) )
= ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SV158 ) @ ( k3_group_1 @ SV10 @ SV115 ) ) )
= $true )
| ( ( m1_subset_1 @ SV158 @ ( u1_struct_0 @ SV10 ) )
= $false )
| ( ( m1_subset_1 @ SV115 @ ( u1_struct_0 @ SV10 ) )
= $false )
| ( ( v4_group_1 @ SV10 )
= $false )
| ( ( v3_struct_0 @ SV10 )
= $true )
| ( ( v3_group_1 @ SV10 )
= $false )
| ( ( l1_group_1 @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7479]) ).
thf(7544,plain,
! [SV158: $i,SV115: $i,SV10: $i] :
( ( ( ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SV115 ) @ ( k3_group_1 @ SV10 @ SV158 ) )
!= ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SV158 ) @ ( k3_group_1 @ SV10 @ SV115 ) ) )
= $true )
| ( ( ( k1_group_1 @ SV10 @ SV115 @ SV158 )
= ( k1_group_1 @ SV10 @ SV158 @ SV115 ) )
= $true )
| ( ( m1_subset_1 @ SV158 @ ( u1_struct_0 @ SV10 ) )
= $false )
| ( ( m1_subset_1 @ SV115 @ ( u1_struct_0 @ SV10 ) )
= $false )
| ( ( v4_group_1 @ SV10 )
= $false )
| ( ( v3_struct_0 @ SV10 )
= $true )
| ( ( v3_group_1 @ SV10 )
= $false )
| ( ( l1_group_1 @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7480]) ).
thf(7545,plain,
! [SV11: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k3_autgroup @ SV11 ) )
| ~ ( v1_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( v3_group_1 @ ( k3_autgroup @ SV11 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV11 )
= $false )
| ( ( v1_group_1 @ SV11 )
= $false )
| ( ( v3_struct_0 @ SV11 )
= $true )
| ( ( v3_group_1 @ SV11 )
= $false )
| ( ( l1_group_1 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7481]) ).
thf(7546,plain,
! [SV11: $i] :
( ( ( v4_group_1 @ ( k3_autgroup @ SV11 ) )
= $true )
| ( ( v4_group_1 @ SV11 )
= $false )
| ( ( v1_group_1 @ SV11 )
= $false )
| ( ( v3_struct_0 @ SV11 )
= $true )
| ( ( v3_group_1 @ SV11 )
= $false )
| ( ( l1_group_1 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7482]) ).
thf(7547,plain,
! [SV159: $i,SV116: $i,SV13: $i] :
( ( ( ( ( k3_group_5 @ SV13 @ SV116 @ SV159 @ ( k2_group_1 @ SV13 ) )
!= ( k2_group_1 @ SV13 ) )
| ( ( k3_group_5 @ SV13 @ SV116 @ ( k2_group_1 @ SV13 ) @ SV159 )
!= ( k2_group_1 @ SV13 ) ) )
= $false )
| ( ( m1_subset_1 @ SV159 @ ( u1_struct_0 @ SV13 ) )
= $false )
| ( ( m1_subset_1 @ SV116 @ ( u1_struct_0 @ SV13 ) )
= $false )
| ( ( v4_group_1 @ SV13 )
= $false )
| ( ( v3_struct_0 @ SV13 )
= $true )
| ( ( v3_group_1 @ SV13 )
= $false )
| ( ( l1_group_1 @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7483]) ).
thf(7548,plain,
! [SV161: $i,SV16: $i] :
( ( ( ( ( k1_group_1 @ SV16 @ SV161 @ ( sK19_SY243 @ SV16 ) )
!= SV161 )
| ( ( k1_group_1 @ SV16 @ ( sK19_SY243 @ SV16 ) @ SV161 )
!= SV161 ) )
= $false )
| ( ( m1_subset_1 @ SV161 @ ( u1_struct_0 @ SV16 ) )
= $false )
| ( ( v3_group_1 @ SV16 )
= $false )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7485]) ).
thf(7549,plain,
! [SV161: $i,SV16: $i] :
( ( ( ! [SY439: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY439 @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ SV161 @ SY439 )
!= ( sK19_SY243 @ SV16 ) ) )
| ( ( k1_group_1 @ SV16 @ SY439 @ SV161 )
!= ( sK19_SY243 @ SV16 ) ) ) )
= $false )
| ( ( m1_subset_1 @ SV161 @ ( u1_struct_0 @ SV16 ) )
= $false )
| ( ( v3_group_1 @ SV16 )
= $false )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7486]) ).
thf(7550,plain,
! [SV106: $i,SV16: $i] :
( ( ( ( ( k1_group_1 @ SV16 @ ( sK30_SY385 @ SV106 @ SV16 ) @ SV106 )
!= ( sK30_SY385 @ SV106 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ SV106 @ ( sK30_SY385 @ SV106 @ SV16 ) )
!= ( sK30_SY385 @ SV106 @ SV16 ) ) )
= $true )
| ( ( ~ ~ ! [SY453: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY453 @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ ( sK30_SY385 @ SV106 @ SV16 ) @ SY453 )
!= SV106 ) )
| ( ( k1_group_1 @ SV16 @ SY453 @ ( sK30_SY385 @ SV106 @ SV16 ) )
!= SV106 ) ) )
= $true )
| ( ( m1_subset_1 @ SV106 @ ( u1_struct_0 @ SV16 ) )
= $false )
| ( ( v3_group_1 @ SV16 )
= $true )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7487]) ).
thf(7551,plain,
! [SV79: $i,SV19: $i,SV92: $i] :
( ( ( m1_subset_1 @ SV92 @ ( u1_struct_0 @ SV19 ) )
= $false )
| ( ( l1_group_1 @ SV19 )
= $false )
| ( ( v3_group_1 @ SV19 )
= $false )
| ( ( v3_struct_0 @ SV19 )
= $true )
| ( ( v4_group_1 @ SV19 )
= $false )
| ( ( m1_subset_1 @ SV79 @ ( u1_struct_0 @ SV19 ) )
= $false )
| ( ( m1_subset_1 @ ( k2_group_3 @ SV19 @ SV79 @ SV92 ) @ ( u1_struct_0 @ SV19 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7488]) ).
thf(7552,plain,
! [SV187: $i,SV163: $i,SV120: $i,SV21: $i] :
( ( ( ~ ~ ( ~ ( r2_group_3 @ SV21 @ SV120 @ SV163 )
| ~ ( r2_group_3 @ SV21 @ SV163 @ SV187 ) ) )
= $true )
| ( ( r2_group_3 @ SV21 @ SV120 @ SV187 )
= $true )
| ( ( m1_subset_1 @ SV187 @ ( u1_struct_0 @ SV21 ) )
= $false )
| ( ( m1_subset_1 @ SV163 @ ( u1_struct_0 @ SV21 ) )
= $false )
| ( ( m1_subset_1 @ SV120 @ ( u1_struct_0 @ SV21 ) )
= $false )
| ( ( v4_group_1 @ SV21 )
= $false )
| ( ( v3_struct_0 @ SV21 )
= $true )
| ( ( v3_group_1 @ SV21 )
= $false )
| ( ( l1_group_1 @ SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7489]) ).
thf(7553,plain,
! [SV22: $i,SV183: $i] :
( ( ( v1_group_1 @ SV183 )
= $false )
| ( ( ~ ( m1_group_2 @ SV183 @ SV22 ) )
= $true )
| ( ( ( ( u1_struct_0 @ SV183 )
!= ( u1_struct_0 @ SV22 ) )
| ( SV183 = SV22 ) )
= $true )
| ( ( v4_group_1 @ SV22 )
= $false )
| ( ( v1_group_1 @ SV22 )
= $false )
| ( ( v3_struct_0 @ SV22 )
= $true )
| ( ( v3_group_1 @ SV22 )
= $false )
| ( ( l1_group_1 @ SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7490]) ).
thf(7554,plain,
! [SV164: $i,SV121: $i,SV23: $i] :
( ( ( ( k1_group_1 @ SV23 @ SV121 @ SV164 )
!= ( k1_group_1 @ SV23 @ SV164 @ SV121 ) )
= $true )
| ( ( ( k3_group_1 @ SV23 @ ( k1_group_1 @ SV23 @ SV121 @ SV164 ) )
= ( k1_group_1 @ SV23 @ ( k3_group_1 @ SV23 @ SV121 ) @ ( k3_group_1 @ SV23 @ SV164 ) ) )
= $true )
| ( ( m1_subset_1 @ SV164 @ ( u1_struct_0 @ SV23 ) )
= $false )
| ( ( m1_subset_1 @ SV121 @ ( u1_struct_0 @ SV23 ) )
= $false )
| ( ( v4_group_1 @ SV23 )
= $false )
| ( ( v3_struct_0 @ SV23 )
= $true )
| ( ( v3_group_1 @ SV23 )
= $false )
| ( ( l1_group_1 @ SV23 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7491]) ).
thf(7555,plain,
! [SV164: $i,SV121: $i,SV23: $i] :
( ( ( ( k3_group_1 @ SV23 @ ( k1_group_1 @ SV23 @ SV121 @ SV164 ) )
!= ( k1_group_1 @ SV23 @ ( k3_group_1 @ SV23 @ SV121 ) @ ( k3_group_1 @ SV23 @ SV164 ) ) )
= $true )
| ( ( ( k1_group_1 @ SV23 @ SV121 @ SV164 )
= ( k1_group_1 @ SV23 @ SV164 @ SV121 ) )
= $true )
| ( ( m1_subset_1 @ SV164 @ ( u1_struct_0 @ SV23 ) )
= $false )
| ( ( m1_subset_1 @ SV121 @ ( u1_struct_0 @ SV23 ) )
= $false )
| ( ( v4_group_1 @ SV23 )
= $false )
| ( ( v3_struct_0 @ SV23 )
= $true )
| ( ( v3_group_1 @ SV23 )
= $false )
| ( ( l1_group_1 @ SV23 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7492]) ).
thf(7556,plain,
! [SV26: $i,SV123: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV123 )
| ~ ( v3_group_1 @ SV123 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV123 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV123 ) )
= $true )
| ( ( ! [SY403: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY403 )
| ~ ( v3_group_1 @ SY403 ) )
| ~ ( v4_group_1 @ SY403 ) )
| ~ ( l1_group_1 @ SY403 ) )
| ~ ~ ( ~ ( m1_group_2 @ SV26 @ SV123 )
| ~ ( m1_group_2 @ SV123 @ SY403 ) )
| ( m1_group_2 @ SV26 @ SY403 ) ) )
= $true )
| ( ( v4_group_1 @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( v3_group_1 @ SV26 )
= $false )
| ( ( l1_group_1 @ SV26 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7493]) ).
thf(7557,plain,
! [SV28: $i,SV193: $i] :
( ( ( ~ ~ ( ~ ( m1_subset_1 @ SV193 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ ( sK23_SY268 @ SV28 ) @ SV193 )
!= ( sK28_SY430 @ SV28 ) ) ) )
= $true )
| ( ( ~ ~ ! [SY442: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY442 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY442 @ ( sK23_SY268 @ SV28 ) )
!= ( sK28_SY430 @ SV28 ) ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK16_SY265 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7496]) ).
thf(7558,plain,
! [SV28: $i] :
( ( ( ~ ( v4_group_1 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ ( sK21_SY377 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( m1_subset_1 @ ( sK33_SY443 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7499]) ).
thf(7559,plain,
! [SV28: $i] :
( ( ( ~ ( v3_group_1 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ ( sK21_SY377 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( m1_subset_1 @ ( sK33_SY443 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7499]) ).
thf(7560,plain,
! [SV28: $i] :
( ( ( ~ ! [SY458: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY458 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ ( sK29_SY268 @ SV28 ) @ SY458 )
!= ( sK33_SY443 @ SV28 ) ) ) )
= $false )
| ( ( ~ ~ ! [SY459: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY459 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY459 @ ( sK29_SY268 @ SV28 ) )
!= ( sK33_SY443 @ SV28 ) ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK21_SY377 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7500]) ).
thf(7561,plain,
! [SV28: $i] :
( ( ( ~ ( v4_group_1 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ ( sK24_SY389 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( m1_subset_1 @ ( sK34_SY268 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7501]) ).
thf(7562,plain,
! [SV28: $i] :
( ( ( ~ ( v3_group_1 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ ( sK24_SY389 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( m1_subset_1 @ ( sK34_SY268 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7501]) ).
thf(7563,plain,
! [SV28: $i] :
( ( ( m1_subset_1 @ ( sK38_SY460 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( m1_subset_1 @ ( sK24_SY389 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7502]) ).
thf(7564,plain,
! [SV28: $i] :
( ( ( ~ ~ ! [SY467: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY467 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ ( sK34_SY268 @ SV28 ) @ SY467 )
!= ( sK38_SY460 @ SV28 ) ) )
| ~ ~ ! [SY468: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY468 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY468 @ ( sK34_SY268 @ SV28 ) )
!= ( sK38_SY460 @ SV28 ) ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK24_SY389 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7503]) ).
thf(7565,plain,
! [SV28: $i] :
( ( ( v4_group_1 @ SV28 )
= $true )
| ( ( ( k1_group_1 @ SV28 @ ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( sK21_SY377 @ SV28 ) ) @ ( sK24_SY389 @ SV28 ) )
= ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( k1_group_1 @ SV28 @ ( sK21_SY377 @ SV28 ) @ ( sK24_SY389 @ SV28 ) ) ) )
= $false )
| ( ( m1_subset_1 @ ( sK31_SY268 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7504]) ).
thf(7566,plain,
! [SV28: $i] :
( ( ( v3_group_1 @ SV28 )
= $true )
| ( ( ( k1_group_1 @ SV28 @ ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( sK21_SY377 @ SV28 ) ) @ ( sK24_SY389 @ SV28 ) )
= ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( k1_group_1 @ SV28 @ ( sK21_SY377 @ SV28 ) @ ( sK24_SY389 @ SV28 ) ) ) )
= $false )
| ( ( m1_subset_1 @ ( sK31_SY268 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7505]) ).
thf(7567,plain,
! [SV28: $i] :
( ( ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( sK21_SY377 @ SV28 ) ) @ ( sK24_SY389 @ SV28 ) )
= ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( k1_group_1 @ SV28 @ ( sK21_SY377 @ SV28 ) @ ( sK24_SY389 @ SV28 ) ) ) )
= $false )
| ( ( m1_subset_1 @ ( sK36_SY454 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7506]) ).
thf(7568,plain,
! [SV28: $i] :
( ( ( ~ ~ ! [SY464: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY464 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ ( sK31_SY268 @ SV28 ) @ SY464 )
!= ( sK36_SY454 @ SV28 ) ) ) )
= $true )
| ( ( ~ ~ ! [SY465: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY465 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY465 @ ( sK31_SY268 @ SV28 ) )
!= ( sK36_SY454 @ SV28 ) ) ) )
= $true )
| ( ( ( k1_group_1 @ SV28 @ ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( sK21_SY377 @ SV28 ) ) @ ( sK24_SY389 @ SV28 ) )
= ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( k1_group_1 @ SV28 @ ( sK21_SY377 @ SV28 ) @ ( sK24_SY389 @ SV28 ) ) ) )
= $false )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7507]) ).
thf(7569,plain,
! [SV81: $i,SV29: $i,SV93: $i] :
( ( ( m1_subset_1 @ SV93 @ ( u1_struct_0 @ SV29 ) )
= $false )
| ( ( l1_group_1 @ SV29 )
= $false )
| ( ( v3_group_1 @ SV29 )
= $false )
| ( ( v3_struct_0 @ SV29 )
= $true )
| ( ( v4_group_1 @ SV29 )
= $false )
| ( ( m1_subset_1 @ SV81 @ ( u1_struct_0 @ SV29 ) )
= $false )
| ( ( m1_subset_1 @ ( k2_group_5 @ SV29 @ SV81 @ SV93 ) @ ( u1_struct_0 @ SV29 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7508]) ).
thf(7570,plain,
! [SV82: $i,SV30: $i,SV94: $i] :
( ( ( m1_subset_1 @ SV94 @ ( u1_struct_0 @ SV30 ) )
= $false )
| ( ( l1_group_1 @ SV30 )
= $false )
| ( ( v3_group_1 @ SV30 )
= $false )
| ( ( v3_struct_0 @ SV30 )
= $true )
| ( ( v4_group_1 @ SV30 )
= $false )
| ( ( m1_subset_1 @ SV82 @ ( u1_struct_0 @ SV30 ) )
= $false )
| ( ( r2_group_3 @ SV30 @ SV82 @ SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7509]) ).
thf(7571,plain,
! [SV188: $i,SV166: $i,SV126: $i,SV33: $i] :
( ( ( ( k2_group_3 @ SV33 @ SV126 @ SV166 )
!= ( k2_group_3 @ SV33 @ SV188 @ SV166 ) )
= $true )
| ( ( SV126 = SV188 )
= $true )
| ( ( m1_subset_1 @ SV188 @ ( u1_struct_0 @ SV33 ) )
= $false )
| ( ( m1_subset_1 @ SV166 @ ( u1_struct_0 @ SV33 ) )
= $false )
| ( ( m1_subset_1 @ SV126 @ ( u1_struct_0 @ SV33 ) )
= $false )
| ( ( v4_group_1 @ SV33 )
= $false )
| ( ( v3_struct_0 @ SV33 )
= $true )
| ( ( v3_group_1 @ SV33 )
= $false )
| ( ( l1_group_1 @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7510]) ).
thf(7572,plain,
! [SV167: $i,SV34: $i,SV127: $i] :
( ( ( ( SV127
!= ( k3_group_1 @ SV34 @ SV167 ) )
| ( SV167
!= ( k3_group_1 @ SV34 @ SV127 ) ) )
= $false )
| ( ( ( k1_group_1 @ SV34 @ SV127 @ SV167 )
= ( k2_group_1 @ SV34 ) )
= $false )
| ( ( m1_subset_1 @ SV167 @ ( u1_struct_0 @ SV34 ) )
= $false )
| ( ( m1_subset_1 @ SV127 @ ( u1_struct_0 @ SV34 ) )
= $false )
| ( ( v4_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7511]) ).
thf(7573,plain,
! [SV167: $i,SV34: $i,SV127: $i] :
( ( ( ( SV127
!= ( k3_group_1 @ SV34 @ SV167 ) )
| ( SV167
!= ( k3_group_1 @ SV34 @ SV127 ) ) )
= $false )
| ( ( ( k1_group_1 @ SV34 @ SV167 @ SV127 )
= ( k2_group_1 @ SV34 ) )
= $false )
| ( ( m1_subset_1 @ SV167 @ ( u1_struct_0 @ SV34 ) )
= $false )
| ( ( m1_subset_1 @ SV127 @ ( u1_struct_0 @ SV34 ) )
= $false )
| ( ( v4_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7512]) ).
thf(7574,plain,
! [SV83: $i,SV35: $i] :
( ( ( v3_struct_0 @ SV35 )
= $true )
| ( ( ~ ( v3_group_1 @ SV35 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV35 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV35 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV83 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV83 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV83 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV83 ) )
= $true )
| ( ( r1_group_6 @ SV35 @ SV35 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7513]) ).
thf(7575,plain,
! [SV189: $i,SV168: $i,SV128: $i,SV36: $i] :
( ( ( ~ ( ( ( k1_group_1 @ SV36 @ SV128 @ SV168 )
!= SV189 )
| ( SV128
= ( k1_group_1 @ SV36 @ SV189 @ ( k3_group_1 @ SV36 @ SV168 ) ) ) )
| ~ ( ( SV128
!= ( k1_group_1 @ SV36 @ SV189 @ ( k3_group_1 @ SV36 @ SV168 ) ) )
| ( ( k1_group_1 @ SV36 @ SV128 @ SV168 )
= SV189 ) ) )
= $false )
| ( ( m1_subset_1 @ SV189 @ ( u1_struct_0 @ SV36 ) )
= $false )
| ( ( m1_subset_1 @ SV168 @ ( u1_struct_0 @ SV36 ) )
= $false )
| ( ( m1_subset_1 @ SV128 @ ( u1_struct_0 @ SV36 ) )
= $false )
| ( ( v4_group_1 @ SV36 )
= $false )
| ( ( v3_struct_0 @ SV36 )
= $true )
| ( ( v3_group_1 @ SV36 )
= $false )
| ( ( l1_group_1 @ SV36 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7514]) ).
thf(7576,plain,
! [SV98: $i,SV95: $i,SV84: $i,SV47: $i] :
( ( ( v3_group_1 @ SV47 )
= $false )
| ( ( v3_struct_0 @ SV47 )
= $true )
| ( ( ~ ( v4_group_1 @ SV47 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV47 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV84 @ ( u1_struct_0 @ SV47 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV95 @ ( u1_struct_0 @ SV47 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV98 @ ( u1_struct_0 @ SV47 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k3_group_5 @ SV47 @ SV84 @ SV95 @ SV98 ) @ ( u1_struct_0 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7515]) ).
thf(7577,plain,
! [SV48: $i,SV134: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV134 )
| ~ ( v3_group_1 @ SV134 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV134 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV134 ) )
= $true )
| ( ( ! [SY414: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY414 )
| ~ ( v3_group_1 @ SY414 ) )
| ~ ( v4_group_1 @ SY414 ) )
| ~ ( l1_group_1 @ SY414 ) )
| ~ ~ ( ~ ( r1_group_6 @ SV48 @ SV134 )
| ~ ( r1_group_6 @ SV134 @ SY414 ) )
| ( r1_group_6 @ SV48 @ SY414 ) ) )
= $true )
| ( ( v4_group_1 @ SV48 )
= $false )
| ( ( v3_struct_0 @ SV48 )
= $true )
| ( ( v3_group_1 @ SV48 )
= $false )
| ( ( l1_group_1 @ SV48 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7516]) ).
thf(7578,plain,
! [SV86: $i,SV51: $i,SV96: $i] :
( ( ( m1_subset_1 @ SV96 @ ( u1_struct_0 @ SV51 ) )
= $false )
| ( ( l1_group_1 @ SV51 )
= $false )
| ( ( v3_group_1 @ SV51 )
= $false )
| ( ( v3_struct_0 @ SV51 )
= $true )
| ( ( v4_group_1 @ SV51 )
= $false )
| ( ( m1_subset_1 @ SV86 @ ( u1_struct_0 @ SV51 ) )
= $false )
| ( ( ~ ( r2_group_3 @ SV51 @ SV86 @ SV96 )
| ( r2_group_3 @ SV51 @ SV96 @ SV86 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7517]) ).
thf(7579,plain,
! [SV52: $i,SV184: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV184 )
| ~ ( v1_group_1 @ SV184 ) )
| ~ ( v3_group_1 @ SV184 ) )
| ~ ( v4_group_1 @ SV184 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV184 ) )
= $true )
| ( ( ~ ( r1_group_6 @ SV52 @ SV184 )
| ( r1_group_6 @ SV184 @ SV52 ) )
= $true )
| ( ( v4_group_1 @ SV52 )
= $false )
| ( ( v1_group_1 @ SV52 )
= $false )
| ( ( v3_struct_0 @ SV52 )
= $true )
| ( ( v3_group_1 @ SV52 )
= $false )
| ( ( l1_group_1 @ SV52 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7518]) ).
thf(7580,plain,
! [SV173: $i,SV136: $i,SV54: $i] :
( ( ( ( k1_group_1 @ SV54 @ SV136 @ SV173 )
!= ( k1_group_1 @ SV54 @ SV173 @ SV136 ) )
= $true )
| ( ( ( k1_group_1 @ SV54 @ SV136 @ ( k3_group_1 @ SV54 @ SV173 ) )
= ( k1_group_1 @ SV54 @ ( k3_group_1 @ SV54 @ SV173 ) @ SV136 ) )
= $true )
| ( ( m1_subset_1 @ SV173 @ ( u1_struct_0 @ SV54 ) )
= $false )
| ( ( m1_subset_1 @ SV136 @ ( u1_struct_0 @ SV54 ) )
= $false )
| ( ( v4_group_1 @ SV54 )
= $false )
| ( ( v3_struct_0 @ SV54 )
= $true )
| ( ( v3_group_1 @ SV54 )
= $false )
| ( ( l1_group_1 @ SV54 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7519]) ).
thf(7581,plain,
! [SV173: $i,SV136: $i,SV54: $i] :
( ( ( ( k1_group_1 @ SV54 @ SV136 @ ( k3_group_1 @ SV54 @ SV173 ) )
!= ( k1_group_1 @ SV54 @ ( k3_group_1 @ SV54 @ SV173 ) @ SV136 ) )
= $true )
| ( ( ( k1_group_1 @ SV54 @ SV136 @ SV173 )
= ( k1_group_1 @ SV54 @ SV173 @ SV136 ) )
= $true )
| ( ( m1_subset_1 @ SV173 @ ( u1_struct_0 @ SV54 ) )
= $false )
| ( ( m1_subset_1 @ SV136 @ ( u1_struct_0 @ SV54 ) )
= $false )
| ( ( v4_group_1 @ SV54 )
= $false )
| ( ( v3_struct_0 @ SV54 )
= $true )
| ( ( v3_group_1 @ SV54 )
= $false )
| ( ( l1_group_1 @ SV54 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7520]) ).
thf(7582,plain,
! [SV55: $i,SV174: $i,SV137: $i,SV190: $i] :
( ( ( SV190 != SV137 )
= $true )
| ( ( ( k3_group_1 @ SV174 @ SV190 )
= ( k3_group_1 @ SV55 @ SV137 ) )
= $true )
| ( ( m1_subset_1 @ SV190 @ ( u1_struct_0 @ SV174 ) )
= $false )
| ( ( m1_group_2 @ SV174 @ SV55 )
= $false )
| ( ( m1_subset_1 @ SV137 @ ( u1_struct_0 @ SV55 ) )
= $false )
| ( ( v4_group_1 @ SV55 )
= $false )
| ( ( v3_struct_0 @ SV55 )
= $true )
| ( ( v3_group_1 @ SV55 )
= $false )
| ( ( l1_group_1 @ SV55 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7521]) ).
thf(7583,plain,
! [SV175: $i,SV138: $i,SV56: $i] :
( ( ( ( k1_group_1 @ SV56 @ SV138 @ SV175 )
!= ( k2_group_1 @ SV56 ) )
= $true )
| ( ( ( k1_group_1 @ SV56 @ SV175 @ SV138 )
!= ( k2_group_1 @ SV56 ) )
= $true )
| ( ( SV175
= ( k3_group_1 @ SV56 @ SV138 ) )
= $true )
| ( ( m1_subset_1 @ SV175 @ ( u1_struct_0 @ SV56 ) )
= $false )
| ( ( m1_subset_1 @ SV138 @ ( u1_struct_0 @ SV56 ) )
= $false )
| ( ( v4_group_1 @ SV56 )
= $false )
| ( ( v3_struct_0 @ SV56 )
= $true )
| ( ( v3_group_1 @ SV56 )
= $false )
| ( ( l1_group_1 @ SV56 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7522]) ).
thf(7584,plain,
! [SV59: $i,SV140: $i,SV176: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK39_SY449 @ SV176 @ SV140 @ SV59 ) @ ( u1_struct_0 @ SV59 ) )
| ( ( k1_group_1 @ SV59 @ SV140 @ ( sK39_SY449 @ SV176 @ SV140 @ SV59 ) )
!= SV176 ) )
= $false )
| ( ( m1_subset_1 @ SV176 @ ( u1_struct_0 @ SV59 ) )
= $false )
| ( ( m1_subset_1 @ SV140 @ ( u1_struct_0 @ SV59 ) )
= $false )
| ( ( v4_group_1 @ SV59 )
= $false )
| ( ( v3_struct_0 @ SV59 )
= $true )
| ( ( v3_group_1 @ SV59 )
= $false )
| ( ( l1_group_1 @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7523]) ).
thf(7585,plain,
! [SV141: $i,SV60: $i,SV177: $i] :
( ( ( SV177
!= ( k3_group_1 @ SV60 @ SV141 ) )
= $true )
| ( ( ~ ( ( ( k1_group_1 @ SV60 @ SV141 @ SV177 )
!= ( k2_group_1 @ SV60 ) )
| ( ( k1_group_1 @ SV60 @ SV177 @ SV141 )
!= ( k2_group_1 @ SV60 ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV177 @ ( u1_struct_0 @ SV60 ) )
= $false )
| ( ( m1_subset_1 @ SV141 @ ( u1_struct_0 @ SV60 ) )
= $false )
| ( ( v4_group_1 @ SV60 )
= $false )
| ( ( v3_struct_0 @ SV60 )
= $true )
| ( ( v3_group_1 @ SV60 )
= $false )
| ( ( l1_group_1 @ SV60 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7524]) ).
thf(7586,plain,
! [SV177: $i,SV141: $i,SV60: $i] :
( ( ( ~ ~ ( ( ( k1_group_1 @ SV60 @ SV141 @ SV177 )
!= ( k2_group_1 @ SV60 ) )
| ( ( k1_group_1 @ SV60 @ SV177 @ SV141 )
!= ( k2_group_1 @ SV60 ) ) ) )
= $true )
| ( ( SV177
= ( k3_group_1 @ SV60 @ SV141 ) )
= $true )
| ( ( m1_subset_1 @ SV177 @ ( u1_struct_0 @ SV60 ) )
= $false )
| ( ( m1_subset_1 @ SV141 @ ( u1_struct_0 @ SV60 ) )
= $false )
| ( ( v4_group_1 @ SV60 )
= $false )
| ( ( v3_struct_0 @ SV60 )
= $true )
| ( ( v3_group_1 @ SV60 )
= $false )
| ( ( l1_group_1 @ SV60 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7525]) ).
thf(7587,plain,
! [SV87: $i,SV61: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV61 )
| ~ ( v1_group_1 @ SV61 ) )
| ~ ( v3_group_1 @ SV61 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV61 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV61 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV87 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( r2_group_6 @ SV61 @ SV87 )
| ( r2_group_6 @ SV87 @ SV61 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7526]) ).
thf(7588,plain,
! [SV107: $i,SV70: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) ) )
= $false )
| ( ( m1_subset_1 @ SV107 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ ( sK27_SY387 @ SV107 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( m1_subset_1 @ ( sK14_SY342 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7527]) ).
thf(7589,plain,
! [SV107: $i,SV70: $i] :
( ( ( ~ ( v4_group_1 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV107 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ ( sK27_SY387 @ SV107 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( m1_subset_1 @ ( sK14_SY342 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7527]) ).
thf(7590,plain,
! [SV107: $i,SV70: $i] :
( ( ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SV107 )
= ( sK27_SY387 @ SV107 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV107 @ ( sK27_SY387 @ SV107 @ SV70 ) )
!= ( sK27_SY387 @ SV107 @ SV70 ) )
= $true )
| ( ( ~ ~ ! [SY435: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY435 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SY435 )
!= SV107 ) )
| ( ( k1_group_1 @ SV70 @ SY435 @ ( sK27_SY387 @ SV107 @ SV70 ) )
!= SV107 ) ) )
= $true )
| ( ( m1_subset_1 @ SV107 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK14_SY342 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7528]) ).
thf(7591,plain,
! [SV146: $i,SV70: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ SV146 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ ( sK32_SY423 @ SV146 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( m1_subset_1 @ ( sK15_SY372 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7529]) ).
thf(7592,plain,
! [SV146: $i,SV70: $i] :
( ( ( l1_group_1 @ SV70 )
= $true )
| ( ( m1_subset_1 @ SV146 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ ( sK32_SY423 @ SV146 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( m1_subset_1 @ ( sK15_SY372 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7530]) ).
thf(7593,plain,
! [SV146: $i,SV70: $i] :
( ( ( ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SV146 )
!= ( sK32_SY423 @ SV146 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ SV146 @ ( sK32_SY423 @ SV146 @ SV70 ) )
!= ( sK32_SY423 @ SV146 @ SV70 ) ) )
= $true )
| ( ( ~ ~ ! [SY457: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY457 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SY457 )
!= SV146 ) )
| ( ( k1_group_1 @ SV70 @ SY457 @ ( sK32_SY423 @ SV146 @ SV70 ) )
!= SV146 ) ) )
= $true )
| ( ( m1_subset_1 @ SV146 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK15_SY372 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7531]) ).
thf(7594,plain,
! [SV153: $i,SV70: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV153 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ ( sK37_SY436 @ SV153 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( m1_subset_1 @ ( sK20_SY376 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7532]) ).
thf(7595,plain,
! [SV153: $i,SV70: $i] :
( ( ( ~ ~ ( ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SV153 )
!= ( sK37_SY436 @ SV153 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ SV153 @ ( sK37_SY436 @ SV153 @ SV70 ) )
!= ( sK37_SY436 @ SV153 @ SV70 ) ) ) )
= $true )
| ( ( ~ ~ ! [SY466: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY466 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SY466 )
!= SV153 ) )
| ( ( k1_group_1 @ SV70 @ SY466 @ ( sK37_SY436 @ SV153 @ SV70 ) )
!= SV153 ) ) )
= $true )
| ( ( m1_subset_1 @ SV153 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK20_SY376 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7533]) ).
thf(7596,plain,
! [SV152: $i,SV70: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) ) )
= $false )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ ( sK35_SY433 @ SV152 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( sK15_SY372 @ SV70 ) ) @ ( sK20_SY376 @ SV70 ) )
= ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( k1_group_1 @ SV70 @ ( sK15_SY372 @ SV70 ) @ ( sK20_SY376 @ SV70 ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7534]) ).
thf(7597,plain,
! [SV152: $i,SV70: $i] :
( ( ( ~ ( l1_group_1 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ ( sK35_SY433 @ SV152 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( sK15_SY372 @ SV70 ) ) @ ( sK20_SY376 @ SV70 ) )
= ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( k1_group_1 @ SV70 @ ( sK15_SY372 @ SV70 ) @ ( sK20_SY376 @ SV70 ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7534]) ).
thf(7598,plain,
! [SV152: $i,SV70: $i] :
( ( ( ~ ( ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SV152 )
!= ( sK35_SY433 @ SV152 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ SV152 @ ( sK35_SY433 @ SV152 @ SV70 ) )
!= ( sK35_SY433 @ SV152 @ SV70 ) ) ) )
= $false )
| ( ( ~ ~ ! [SY463: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY463 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SY463 )
!= SV152 ) )
| ( ( k1_group_1 @ SV70 @ SY463 @ ( sK35_SY433 @ SV152 @ SV70 ) )
!= SV152 ) ) )
= $true )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( sK15_SY372 @ SV70 ) ) @ ( sK20_SY376 @ SV70 ) )
= ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( k1_group_1 @ SV70 @ ( sK15_SY372 @ SV70 ) @ ( sK20_SY376 @ SV70 ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7535]) ).
thf(7599,plain,
! [SV179: $i,SV147: $i,SV71: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV147 @ SV179 ) @ ( k3_group_1 @ SV71 @ SV179 ) )
!= SV147 )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV147 @ ( k3_group_1 @ SV71 @ SV179 ) ) @ SV179 )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SV179 ) @ SV179 ) @ SV147 )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV179 @ ( k3_group_1 @ SV71 @ SV179 ) ) @ SV147 )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ SV147 @ ( k1_group_1 @ SV71 @ SV179 @ ( k3_group_1 @ SV71 @ SV179 ) ) )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ SV147 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SV179 ) @ SV179 ) )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SV179 ) @ ( k1_group_1 @ SV71 @ SV179 @ SV147 ) )
!= SV147 ) )
= $false )
| ( ( m1_subset_1 @ SV179 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( m1_subset_1 @ SV147 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( v4_group_1 @ SV71 )
= $false )
| ( ( v3_struct_0 @ SV71 )
= $true )
| ( ( v3_group_1 @ SV71 )
= $false )
| ( ( l1_group_1 @ SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7536]) ).
thf(7600,plain,
! [SV91: $i,SV72: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV72 )
| ~ ( v1_group_1 @ SV72 ) )
| ~ ( v3_group_1 @ SV72 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV72 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV72 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV91 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV91 ) )
= $true )
| ( ( r2_group_6 @ SV72 @ SV72 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7538]) ).
thf(7601,plain,
! [SV191: $i,SV180: $i,SV149: $i,SV74: $i] :
( ( ( ~ ( ( ( k1_group_1 @ SV74 @ SV149 @ SV180 )
!= SV191 )
| ( SV180
= ( k1_group_1 @ SV74 @ ( k3_group_1 @ SV74 @ SV149 ) @ SV191 ) ) )
| ~ ( ( SV180
!= ( k1_group_1 @ SV74 @ ( k3_group_1 @ SV74 @ SV149 ) @ SV191 ) )
| ( ( k1_group_1 @ SV74 @ SV149 @ SV180 )
= SV191 ) ) )
= $false )
| ( ( m1_subset_1 @ SV191 @ ( u1_struct_0 @ SV74 ) )
= $false )
| ( ( m1_subset_1 @ SV180 @ ( u1_struct_0 @ SV74 ) )
= $false )
| ( ( m1_subset_1 @ SV149 @ ( u1_struct_0 @ SV74 ) )
= $false )
| ( ( v4_group_1 @ SV74 )
= $false )
| ( ( v3_struct_0 @ SV74 )
= $true )
| ( ( v3_group_1 @ SV74 )
= $false )
| ( ( l1_group_1 @ SV74 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7539]) ).
thf(7602,plain,
! [SV77: $i,SV151: $i,SV181: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK40_SY451 @ SV181 @ SV151 @ SV77 ) @ ( u1_struct_0 @ SV77 ) )
| ( ( k1_group_1 @ SV77 @ ( sK40_SY451 @ SV181 @ SV151 @ SV77 ) @ SV151 )
!= SV181 ) )
= $false )
| ( ( m1_subset_1 @ SV181 @ ( u1_struct_0 @ SV77 ) )
= $false )
| ( ( m1_subset_1 @ SV151 @ ( u1_struct_0 @ SV77 ) )
= $false )
| ( ( v4_group_1 @ SV77 )
= $false )
| ( ( v3_struct_0 @ SV77 )
= $true )
| ( ( v3_group_1 @ SV77 )
= $false )
| ( ( l1_group_1 @ SV77 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7540]) ).
thf(7603,plain,
! [SV186: $i,SV157: $i,SV114: $i,SV8: $i] :
( ( ( ( ( k1_group_1 @ SV8 @ SV114 @ SV157 )
= ( k1_group_1 @ SV8 @ SV114 @ SV186 ) )
| ( ( k1_group_1 @ SV8 @ SV157 @ SV114 )
= ( k1_group_1 @ SV8 @ SV186 @ SV114 ) ) )
= $false )
| ( ( SV157 = SV186 )
= $true )
| ( ( m1_subset_1 @ SV186 @ ( u1_struct_0 @ SV8 ) )
= $false )
| ( ( m1_subset_1 @ SV157 @ ( u1_struct_0 @ SV8 ) )
= $false )
| ( ( m1_subset_1 @ SV114 @ ( u1_struct_0 @ SV8 ) )
= $false )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7542]) ).
thf(7604,plain,
! [SV158: $i,SV115: $i,SV10: $i] :
( ( ( ( k1_group_1 @ SV10 @ SV115 @ SV158 )
= ( k1_group_1 @ SV10 @ SV158 @ SV115 ) )
= $false )
| ( ( ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SV115 ) @ ( k3_group_1 @ SV10 @ SV158 ) )
= ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SV158 ) @ ( k3_group_1 @ SV10 @ SV115 ) ) )
= $true )
| ( ( m1_subset_1 @ SV158 @ ( u1_struct_0 @ SV10 ) )
= $false )
| ( ( m1_subset_1 @ SV115 @ ( u1_struct_0 @ SV10 ) )
= $false )
| ( ( v4_group_1 @ SV10 )
= $false )
| ( ( v3_struct_0 @ SV10 )
= $true )
| ( ( v3_group_1 @ SV10 )
= $false )
| ( ( l1_group_1 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7543]) ).
thf(7605,plain,
! [SV158: $i,SV115: $i,SV10: $i] :
( ( ( ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SV115 ) @ ( k3_group_1 @ SV10 @ SV158 ) )
= ( k1_group_1 @ SV10 @ ( k3_group_1 @ SV10 @ SV158 ) @ ( k3_group_1 @ SV10 @ SV115 ) ) )
= $false )
| ( ( ( k1_group_1 @ SV10 @ SV115 @ SV158 )
= ( k1_group_1 @ SV10 @ SV158 @ SV115 ) )
= $true )
| ( ( m1_subset_1 @ SV158 @ ( u1_struct_0 @ SV10 ) )
= $false )
| ( ( m1_subset_1 @ SV115 @ ( u1_struct_0 @ SV10 ) )
= $false )
| ( ( v4_group_1 @ SV10 )
= $false )
| ( ( v3_struct_0 @ SV10 )
= $true )
| ( ( v3_group_1 @ SV10 )
= $false )
| ( ( l1_group_1 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7544]) ).
thf(7606,plain,
! [SV11: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k3_autgroup @ SV11 ) )
| ~ ( v1_group_1 @ ( k3_autgroup @ SV11 ) ) )
| ~ ( v3_group_1 @ ( k3_autgroup @ SV11 ) ) )
= $false )
| ( ( v4_group_1 @ SV11 )
= $false )
| ( ( v1_group_1 @ SV11 )
= $false )
| ( ( v3_struct_0 @ SV11 )
= $true )
| ( ( v3_group_1 @ SV11 )
= $false )
| ( ( l1_group_1 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7545]) ).
thf(7607,plain,
! [SV159: $i,SV116: $i,SV13: $i] :
( ( ( ( k3_group_5 @ SV13 @ SV116 @ SV159 @ ( k2_group_1 @ SV13 ) )
!= ( k2_group_1 @ SV13 ) )
= $false )
| ( ( m1_subset_1 @ SV159 @ ( u1_struct_0 @ SV13 ) )
= $false )
| ( ( m1_subset_1 @ SV116 @ ( u1_struct_0 @ SV13 ) )
= $false )
| ( ( v4_group_1 @ SV13 )
= $false )
| ( ( v3_struct_0 @ SV13 )
= $true )
| ( ( v3_group_1 @ SV13 )
= $false )
| ( ( l1_group_1 @ SV13 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7547]) ).
thf(7608,plain,
! [SV159: $i,SV116: $i,SV13: $i] :
( ( ( ( k3_group_5 @ SV13 @ SV116 @ ( k2_group_1 @ SV13 ) @ SV159 )
!= ( k2_group_1 @ SV13 ) )
= $false )
| ( ( m1_subset_1 @ SV159 @ ( u1_struct_0 @ SV13 ) )
= $false )
| ( ( m1_subset_1 @ SV116 @ ( u1_struct_0 @ SV13 ) )
= $false )
| ( ( v4_group_1 @ SV13 )
= $false )
| ( ( v3_struct_0 @ SV13 )
= $true )
| ( ( v3_group_1 @ SV13 )
= $false )
| ( ( l1_group_1 @ SV13 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7547]) ).
thf(7609,plain,
! [SV161: $i,SV16: $i] :
( ( ( ( k1_group_1 @ SV16 @ SV161 @ ( sK19_SY243 @ SV16 ) )
!= SV161 )
= $false )
| ( ( m1_subset_1 @ SV161 @ ( u1_struct_0 @ SV16 ) )
= $false )
| ( ( v3_group_1 @ SV16 )
= $false )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7548]) ).
thf(7610,plain,
! [SV161: $i,SV16: $i] :
( ( ( ( k1_group_1 @ SV16 @ ( sK19_SY243 @ SV16 ) @ SV161 )
!= SV161 )
= $false )
| ( ( m1_subset_1 @ SV161 @ ( u1_struct_0 @ SV16 ) )
= $false )
| ( ( v3_group_1 @ SV16 )
= $false )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7548]) ).
thf(7611,plain,
! [SV16: $i,SV161: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ ( sK41_SY439 @ SV161 @ SV16 ) @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ SV161 @ ( sK41_SY439 @ SV161 @ SV16 ) )
!= ( sK19_SY243 @ SV16 ) ) )
| ( ( k1_group_1 @ SV16 @ ( sK41_SY439 @ SV161 @ SV16 ) @ SV161 )
!= ( sK19_SY243 @ SV16 ) ) ) )
= $false )
| ( ( m1_subset_1 @ SV161 @ ( u1_struct_0 @ SV16 ) )
= $false )
| ( ( v3_group_1 @ SV16 )
= $false )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[7549]) ).
thf(7612,plain,
! [SV106: $i,SV16: $i] :
( ( ( ( k1_group_1 @ SV16 @ ( sK30_SY385 @ SV106 @ SV16 ) @ SV106 )
!= ( sK30_SY385 @ SV106 @ SV16 ) )
= $true )
| ( ( ( k1_group_1 @ SV16 @ SV106 @ ( sK30_SY385 @ SV106 @ SV16 ) )
!= ( sK30_SY385 @ SV106 @ SV16 ) )
= $true )
| ( ( ~ ~ ! [SY453: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY453 @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ ( sK30_SY385 @ SV106 @ SV16 ) @ SY453 )
!= SV106 ) )
| ( ( k1_group_1 @ SV16 @ SY453 @ ( sK30_SY385 @ SV106 @ SV16 ) )
!= SV106 ) ) )
= $true )
| ( ( m1_subset_1 @ SV106 @ ( u1_struct_0 @ SV16 ) )
= $false )
| ( ( v3_group_1 @ SV16 )
= $true )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7550]) ).
thf(7613,plain,
! [SV187: $i,SV163: $i,SV120: $i,SV21: $i] :
( ( ( ~ ( ~ ( r2_group_3 @ SV21 @ SV120 @ SV163 )
| ~ ( r2_group_3 @ SV21 @ SV163 @ SV187 ) ) )
= $false )
| ( ( r2_group_3 @ SV21 @ SV120 @ SV187 )
= $true )
| ( ( m1_subset_1 @ SV187 @ ( u1_struct_0 @ SV21 ) )
= $false )
| ( ( m1_subset_1 @ SV163 @ ( u1_struct_0 @ SV21 ) )
= $false )
| ( ( m1_subset_1 @ SV120 @ ( u1_struct_0 @ SV21 ) )
= $false )
| ( ( v4_group_1 @ SV21 )
= $false )
| ( ( v3_struct_0 @ SV21 )
= $true )
| ( ( v3_group_1 @ SV21 )
= $false )
| ( ( l1_group_1 @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7552]) ).
thf(7614,plain,
! [SV22: $i,SV183: $i] :
( ( ( m1_group_2 @ SV183 @ SV22 )
= $false )
| ( ( v1_group_1 @ SV183 )
= $false )
| ( ( ( ( u1_struct_0 @ SV183 )
!= ( u1_struct_0 @ SV22 ) )
| ( SV183 = SV22 ) )
= $true )
| ( ( v4_group_1 @ SV22 )
= $false )
| ( ( v1_group_1 @ SV22 )
= $false )
| ( ( v3_struct_0 @ SV22 )
= $true )
| ( ( v3_group_1 @ SV22 )
= $false )
| ( ( l1_group_1 @ SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7553]) ).
thf(7615,plain,
! [SV164: $i,SV121: $i,SV23: $i] :
( ( ( ( k1_group_1 @ SV23 @ SV121 @ SV164 )
= ( k1_group_1 @ SV23 @ SV164 @ SV121 ) )
= $false )
| ( ( ( k3_group_1 @ SV23 @ ( k1_group_1 @ SV23 @ SV121 @ SV164 ) )
= ( k1_group_1 @ SV23 @ ( k3_group_1 @ SV23 @ SV121 ) @ ( k3_group_1 @ SV23 @ SV164 ) ) )
= $true )
| ( ( m1_subset_1 @ SV164 @ ( u1_struct_0 @ SV23 ) )
= $false )
| ( ( m1_subset_1 @ SV121 @ ( u1_struct_0 @ SV23 ) )
= $false )
| ( ( v4_group_1 @ SV23 )
= $false )
| ( ( v3_struct_0 @ SV23 )
= $true )
| ( ( v3_group_1 @ SV23 )
= $false )
| ( ( l1_group_1 @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7554]) ).
thf(7616,plain,
! [SV164: $i,SV121: $i,SV23: $i] :
( ( ( ( k3_group_1 @ SV23 @ ( k1_group_1 @ SV23 @ SV121 @ SV164 ) )
= ( k1_group_1 @ SV23 @ ( k3_group_1 @ SV23 @ SV121 ) @ ( k3_group_1 @ SV23 @ SV164 ) ) )
= $false )
| ( ( ( k1_group_1 @ SV23 @ SV121 @ SV164 )
= ( k1_group_1 @ SV23 @ SV164 @ SV121 ) )
= $true )
| ( ( m1_subset_1 @ SV164 @ ( u1_struct_0 @ SV23 ) )
= $false )
| ( ( m1_subset_1 @ SV121 @ ( u1_struct_0 @ SV23 ) )
= $false )
| ( ( v4_group_1 @ SV23 )
= $false )
| ( ( v3_struct_0 @ SV23 )
= $true )
| ( ( v3_group_1 @ SV23 )
= $false )
| ( ( l1_group_1 @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7555]) ).
thf(7617,plain,
! [SV26: $i,SV123: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV123 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV123 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV123 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV123 ) )
= $true )
| ( ( ! [SY403: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY403 )
| ~ ( v3_group_1 @ SY403 ) )
| ~ ( v4_group_1 @ SY403 ) )
| ~ ( l1_group_1 @ SY403 ) )
| ~ ~ ( ~ ( m1_group_2 @ SV26 @ SV123 )
| ~ ( m1_group_2 @ SV123 @ SY403 ) )
| ( m1_group_2 @ SV26 @ SY403 ) ) )
= $true )
| ( ( v4_group_1 @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( v3_group_1 @ SV26 )
= $false )
| ( ( l1_group_1 @ SV26 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7556]) ).
thf(7618,plain,
! [SV28: $i,SV193: $i] :
( ( ( ~ ( ~ ( m1_subset_1 @ SV193 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ ( sK23_SY268 @ SV28 ) @ SV193 )
!= ( sK28_SY430 @ SV28 ) ) ) )
= $false )
| ( ( ~ ~ ! [SY442: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY442 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY442 @ ( sK23_SY268 @ SV28 ) )
!= ( sK28_SY430 @ SV28 ) ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK16_SY265 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7557]) ).
thf(7619,plain,
! [SV28: $i] :
( ( ( v4_group_1 @ SV28 )
= $true )
| ( ( m1_subset_1 @ ( sK21_SY377 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( m1_subset_1 @ ( sK33_SY443 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7558]) ).
thf(7620,plain,
! [SV28: $i] :
( ( ( v3_group_1 @ SV28 )
= $true )
| ( ( m1_subset_1 @ ( sK21_SY377 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( m1_subset_1 @ ( sK33_SY443 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7559]) ).
thf(7621,plain,
! [SV28: $i] :
( ( ( ! [SY458: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY458 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ ( sK29_SY268 @ SV28 ) @ SY458 )
!= ( sK33_SY443 @ SV28 ) ) ) )
= $true )
| ( ( ~ ~ ! [SY459: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY459 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY459 @ ( sK29_SY268 @ SV28 ) )
!= ( sK33_SY443 @ SV28 ) ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK21_SY377 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7560]) ).
thf(7622,plain,
! [SV28: $i] :
( ( ( v4_group_1 @ SV28 )
= $true )
| ( ( m1_subset_1 @ ( sK24_SY389 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( m1_subset_1 @ ( sK34_SY268 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7561]) ).
thf(7623,plain,
! [SV28: $i] :
( ( ( v3_group_1 @ SV28 )
= $true )
| ( ( m1_subset_1 @ ( sK24_SY389 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( m1_subset_1 @ ( sK34_SY268 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7562]) ).
thf(7624,plain,
! [SV28: $i] :
( ( ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ ( sK24_SY389 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( m1_subset_1 @ ( sK38_SY460 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7563]) ).
thf(7625,plain,
! [SV28: $i] :
( ( ( ~ ~ ! [SY467: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY467 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ ( sK34_SY268 @ SV28 ) @ SY467 )
!= ( sK38_SY460 @ SV28 ) ) ) )
= $true )
| ( ( ~ ~ ! [SY468: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY468 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY468 @ ( sK34_SY268 @ SV28 ) )
!= ( sK38_SY460 @ SV28 ) ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK24_SY389 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7564]) ).
thf(7626,plain,
! [SV28: $i] :
( ( ( ~ ( v4_group_1 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( sK21_SY377 @ SV28 ) ) @ ( sK24_SY389 @ SV28 ) )
= ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( k1_group_1 @ SV28 @ ( sK21_SY377 @ SV28 ) @ ( sK24_SY389 @ SV28 ) ) ) )
= $false )
| ( ( m1_subset_1 @ ( sK36_SY454 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7567]) ).
thf(7627,plain,
! [SV28: $i] :
( ( ( ~ ( v3_group_1 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( sK21_SY377 @ SV28 ) ) @ ( sK24_SY389 @ SV28 ) )
= ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( k1_group_1 @ SV28 @ ( sK21_SY377 @ SV28 ) @ ( sK24_SY389 @ SV28 ) ) ) )
= $false )
| ( ( m1_subset_1 @ ( sK36_SY454 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7567]) ).
thf(7628,plain,
! [SV28: $i] :
( ( ( ~ ! [SY464: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY464 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ ( sK31_SY268 @ SV28 ) @ SY464 )
!= ( sK36_SY454 @ SV28 ) ) ) )
= $false )
| ( ( ~ ~ ! [SY465: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY465 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY465 @ ( sK31_SY268 @ SV28 ) )
!= ( sK36_SY454 @ SV28 ) ) ) )
= $true )
| ( ( ( k1_group_1 @ SV28 @ ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( sK21_SY377 @ SV28 ) ) @ ( sK24_SY389 @ SV28 ) )
= ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( k1_group_1 @ SV28 @ ( sK21_SY377 @ SV28 ) @ ( sK24_SY389 @ SV28 ) ) ) )
= $false )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7568]) ).
thf(7629,plain,
! [SV188: $i,SV166: $i,SV126: $i,SV33: $i] :
( ( ( ( k2_group_3 @ SV33 @ SV126 @ SV166 )
= ( k2_group_3 @ SV33 @ SV188 @ SV166 ) )
= $false )
| ( ( SV126 = SV188 )
= $true )
| ( ( m1_subset_1 @ SV188 @ ( u1_struct_0 @ SV33 ) )
= $false )
| ( ( m1_subset_1 @ SV166 @ ( u1_struct_0 @ SV33 ) )
= $false )
| ( ( m1_subset_1 @ SV126 @ ( u1_struct_0 @ SV33 ) )
= $false )
| ( ( v4_group_1 @ SV33 )
= $false )
| ( ( v3_struct_0 @ SV33 )
= $true )
| ( ( v3_group_1 @ SV33 )
= $false )
| ( ( l1_group_1 @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7571]) ).
thf(7630,plain,
! [SV167: $i,SV34: $i,SV127: $i] :
( ( ( SV127
!= ( k3_group_1 @ SV34 @ SV167 ) )
= $false )
| ( ( ( k1_group_1 @ SV34 @ SV127 @ SV167 )
= ( k2_group_1 @ SV34 ) )
= $false )
| ( ( m1_subset_1 @ SV167 @ ( u1_struct_0 @ SV34 ) )
= $false )
| ( ( m1_subset_1 @ SV127 @ ( u1_struct_0 @ SV34 ) )
= $false )
| ( ( v4_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7572]) ).
thf(7631,plain,
! [SV127: $i,SV34: $i,SV167: $i] :
( ( ( SV167
!= ( k3_group_1 @ SV34 @ SV127 ) )
= $false )
| ( ( ( k1_group_1 @ SV34 @ SV127 @ SV167 )
= ( k2_group_1 @ SV34 ) )
= $false )
| ( ( m1_subset_1 @ SV167 @ ( u1_struct_0 @ SV34 ) )
= $false )
| ( ( m1_subset_1 @ SV127 @ ( u1_struct_0 @ SV34 ) )
= $false )
| ( ( v4_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7572]) ).
thf(7632,plain,
! [SV167: $i,SV34: $i,SV127: $i] :
( ( ( SV127
!= ( k3_group_1 @ SV34 @ SV167 ) )
= $false )
| ( ( ( k1_group_1 @ SV34 @ SV167 @ SV127 )
= ( k2_group_1 @ SV34 ) )
= $false )
| ( ( m1_subset_1 @ SV167 @ ( u1_struct_0 @ SV34 ) )
= $false )
| ( ( m1_subset_1 @ SV127 @ ( u1_struct_0 @ SV34 ) )
= $false )
| ( ( v4_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7573]) ).
thf(7633,plain,
! [SV127: $i,SV34: $i,SV167: $i] :
( ( ( SV167
!= ( k3_group_1 @ SV34 @ SV127 ) )
= $false )
| ( ( ( k1_group_1 @ SV34 @ SV167 @ SV127 )
= ( k2_group_1 @ SV34 ) )
= $false )
| ( ( m1_subset_1 @ SV167 @ ( u1_struct_0 @ SV34 ) )
= $false )
| ( ( m1_subset_1 @ SV127 @ ( u1_struct_0 @ SV34 ) )
= $false )
| ( ( v4_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7573]) ).
thf(7634,plain,
! [SV83: $i,SV35: $i] :
( ( ( v3_group_1 @ SV35 )
= $false )
| ( ( v3_struct_0 @ SV35 )
= $true )
| ( ( ~ ( v4_group_1 @ SV35 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV35 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV83 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV83 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV83 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV83 ) )
= $true )
| ( ( r1_group_6 @ SV35 @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7574]) ).
thf(7635,plain,
! [SV189: $i,SV168: $i,SV128: $i,SV36: $i] :
( ( ( ~ ( ( ( k1_group_1 @ SV36 @ SV128 @ SV168 )
!= SV189 )
| ( SV128
= ( k1_group_1 @ SV36 @ SV189 @ ( k3_group_1 @ SV36 @ SV168 ) ) ) ) )
= $false )
| ( ( m1_subset_1 @ SV189 @ ( u1_struct_0 @ SV36 ) )
= $false )
| ( ( m1_subset_1 @ SV168 @ ( u1_struct_0 @ SV36 ) )
= $false )
| ( ( m1_subset_1 @ SV128 @ ( u1_struct_0 @ SV36 ) )
= $false )
| ( ( v4_group_1 @ SV36 )
= $false )
| ( ( v3_struct_0 @ SV36 )
= $true )
| ( ( v3_group_1 @ SV36 )
= $false )
| ( ( l1_group_1 @ SV36 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7575]) ).
thf(7636,plain,
! [SV168: $i,SV189: $i,SV36: $i,SV128: $i] :
( ( ( ~ ( ( SV128
!= ( k1_group_1 @ SV36 @ SV189 @ ( k3_group_1 @ SV36 @ SV168 ) ) )
| ( ( k1_group_1 @ SV36 @ SV128 @ SV168 )
= SV189 ) ) )
= $false )
| ( ( m1_subset_1 @ SV189 @ ( u1_struct_0 @ SV36 ) )
= $false )
| ( ( m1_subset_1 @ SV168 @ ( u1_struct_0 @ SV36 ) )
= $false )
| ( ( m1_subset_1 @ SV128 @ ( u1_struct_0 @ SV36 ) )
= $false )
| ( ( v4_group_1 @ SV36 )
= $false )
| ( ( v3_struct_0 @ SV36 )
= $true )
| ( ( v3_group_1 @ SV36 )
= $false )
| ( ( l1_group_1 @ SV36 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7575]) ).
thf(7637,plain,
! [SV98: $i,SV95: $i,SV84: $i,SV47: $i] :
( ( ( v4_group_1 @ SV47 )
= $false )
| ( ( v3_struct_0 @ SV47 )
= $true )
| ( ( v3_group_1 @ SV47 )
= $false )
| ( ( ~ ( l1_group_1 @ SV47 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV84 @ ( u1_struct_0 @ SV47 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV95 @ ( u1_struct_0 @ SV47 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV98 @ ( u1_struct_0 @ SV47 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k3_group_5 @ SV47 @ SV84 @ SV95 @ SV98 ) @ ( u1_struct_0 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7576]) ).
thf(7638,plain,
! [SV48: $i,SV134: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV134 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV134 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV134 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV134 ) )
= $true )
| ( ( ! [SY414: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY414 )
| ~ ( v3_group_1 @ SY414 ) )
| ~ ( v4_group_1 @ SY414 ) )
| ~ ( l1_group_1 @ SY414 ) )
| ~ ~ ( ~ ( r1_group_6 @ SV48 @ SV134 )
| ~ ( r1_group_6 @ SV134 @ SY414 ) )
| ( r1_group_6 @ SV48 @ SY414 ) ) )
= $true )
| ( ( v4_group_1 @ SV48 )
= $false )
| ( ( v3_struct_0 @ SV48 )
= $true )
| ( ( v3_group_1 @ SV48 )
= $false )
| ( ( l1_group_1 @ SV48 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7577]) ).
thf(7639,plain,
! [SV96: $i,SV86: $i,SV51: $i] :
( ( ( ~ ( r2_group_3 @ SV51 @ SV86 @ SV96 ) )
= $true )
| ( ( r2_group_3 @ SV51 @ SV96 @ SV86 )
= $true )
| ( ( m1_subset_1 @ SV86 @ ( u1_struct_0 @ SV51 ) )
= $false )
| ( ( v4_group_1 @ SV51 )
= $false )
| ( ( v3_struct_0 @ SV51 )
= $true )
| ( ( v3_group_1 @ SV51 )
= $false )
| ( ( l1_group_1 @ SV51 )
= $false )
| ( ( m1_subset_1 @ SV96 @ ( u1_struct_0 @ SV51 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7578]) ).
thf(7640,plain,
! [SV52: $i,SV184: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV184 )
| ~ ( v1_group_1 @ SV184 ) )
| ~ ( v3_group_1 @ SV184 ) )
| ~ ( v4_group_1 @ SV184 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV184 ) )
= $true )
| ( ( ~ ( r1_group_6 @ SV52 @ SV184 )
| ( r1_group_6 @ SV184 @ SV52 ) )
= $true )
| ( ( v4_group_1 @ SV52 )
= $false )
| ( ( v1_group_1 @ SV52 )
= $false )
| ( ( v3_struct_0 @ SV52 )
= $true )
| ( ( v3_group_1 @ SV52 )
= $false )
| ( ( l1_group_1 @ SV52 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7579]) ).
thf(7641,plain,
! [SV173: $i,SV136: $i,SV54: $i] :
( ( ( ( k1_group_1 @ SV54 @ SV136 @ SV173 )
= ( k1_group_1 @ SV54 @ SV173 @ SV136 ) )
= $false )
| ( ( ( k1_group_1 @ SV54 @ SV136 @ ( k3_group_1 @ SV54 @ SV173 ) )
= ( k1_group_1 @ SV54 @ ( k3_group_1 @ SV54 @ SV173 ) @ SV136 ) )
= $true )
| ( ( m1_subset_1 @ SV173 @ ( u1_struct_0 @ SV54 ) )
= $false )
| ( ( m1_subset_1 @ SV136 @ ( u1_struct_0 @ SV54 ) )
= $false )
| ( ( v4_group_1 @ SV54 )
= $false )
| ( ( v3_struct_0 @ SV54 )
= $true )
| ( ( v3_group_1 @ SV54 )
= $false )
| ( ( l1_group_1 @ SV54 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7580]) ).
thf(7642,plain,
! [SV173: $i,SV136: $i,SV54: $i] :
( ( ( ( k1_group_1 @ SV54 @ SV136 @ ( k3_group_1 @ SV54 @ SV173 ) )
= ( k1_group_1 @ SV54 @ ( k3_group_1 @ SV54 @ SV173 ) @ SV136 ) )
= $false )
| ( ( ( k1_group_1 @ SV54 @ SV136 @ SV173 )
= ( k1_group_1 @ SV54 @ SV173 @ SV136 ) )
= $true )
| ( ( m1_subset_1 @ SV173 @ ( u1_struct_0 @ SV54 ) )
= $false )
| ( ( m1_subset_1 @ SV136 @ ( u1_struct_0 @ SV54 ) )
= $false )
| ( ( v4_group_1 @ SV54 )
= $false )
| ( ( v3_struct_0 @ SV54 )
= $true )
| ( ( v3_group_1 @ SV54 )
= $false )
| ( ( l1_group_1 @ SV54 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7581]) ).
thf(7643,plain,
! [SV55: $i,SV174: $i,SV137: $i,SV190: $i] :
( ( ( SV190 = SV137 )
= $false )
| ( ( ( k3_group_1 @ SV174 @ SV190 )
= ( k3_group_1 @ SV55 @ SV137 ) )
= $true )
| ( ( m1_subset_1 @ SV190 @ ( u1_struct_0 @ SV174 ) )
= $false )
| ( ( m1_group_2 @ SV174 @ SV55 )
= $false )
| ( ( m1_subset_1 @ SV137 @ ( u1_struct_0 @ SV55 ) )
= $false )
| ( ( v4_group_1 @ SV55 )
= $false )
| ( ( v3_struct_0 @ SV55 )
= $true )
| ( ( v3_group_1 @ SV55 )
= $false )
| ( ( l1_group_1 @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7582]) ).
thf(7644,plain,
! [SV175: $i,SV138: $i,SV56: $i] :
( ( ( ( k1_group_1 @ SV56 @ SV138 @ SV175 )
= ( k2_group_1 @ SV56 ) )
= $false )
| ( ( ( k1_group_1 @ SV56 @ SV175 @ SV138 )
!= ( k2_group_1 @ SV56 ) )
= $true )
| ( ( SV175
= ( k3_group_1 @ SV56 @ SV138 ) )
= $true )
| ( ( m1_subset_1 @ SV175 @ ( u1_struct_0 @ SV56 ) )
= $false )
| ( ( m1_subset_1 @ SV138 @ ( u1_struct_0 @ SV56 ) )
= $false )
| ( ( v4_group_1 @ SV56 )
= $false )
| ( ( v3_struct_0 @ SV56 )
= $true )
| ( ( v3_group_1 @ SV56 )
= $false )
| ( ( l1_group_1 @ SV56 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7583]) ).
thf(7645,plain,
! [SV59: $i,SV140: $i,SV176: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK39_SY449 @ SV176 @ SV140 @ SV59 ) @ ( u1_struct_0 @ SV59 ) ) )
= $false )
| ( ( m1_subset_1 @ SV176 @ ( u1_struct_0 @ SV59 ) )
= $false )
| ( ( m1_subset_1 @ SV140 @ ( u1_struct_0 @ SV59 ) )
= $false )
| ( ( v4_group_1 @ SV59 )
= $false )
| ( ( v3_struct_0 @ SV59 )
= $true )
| ( ( v3_group_1 @ SV59 )
= $false )
| ( ( l1_group_1 @ SV59 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7584]) ).
thf(7646,plain,
! [SV176: $i,SV140: $i,SV59: $i] :
( ( ( ( k1_group_1 @ SV59 @ SV140 @ ( sK39_SY449 @ SV176 @ SV140 @ SV59 ) )
!= SV176 )
= $false )
| ( ( m1_subset_1 @ SV176 @ ( u1_struct_0 @ SV59 ) )
= $false )
| ( ( m1_subset_1 @ SV140 @ ( u1_struct_0 @ SV59 ) )
= $false )
| ( ( v4_group_1 @ SV59 )
= $false )
| ( ( v3_struct_0 @ SV59 )
= $true )
| ( ( v3_group_1 @ SV59 )
= $false )
| ( ( l1_group_1 @ SV59 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7584]) ).
thf(7647,plain,
! [SV141: $i,SV60: $i,SV177: $i] :
( ( ( SV177
= ( k3_group_1 @ SV60 @ SV141 ) )
= $false )
| ( ( ~ ( ( ( k1_group_1 @ SV60 @ SV141 @ SV177 )
!= ( k2_group_1 @ SV60 ) )
| ( ( k1_group_1 @ SV60 @ SV177 @ SV141 )
!= ( k2_group_1 @ SV60 ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV177 @ ( u1_struct_0 @ SV60 ) )
= $false )
| ( ( m1_subset_1 @ SV141 @ ( u1_struct_0 @ SV60 ) )
= $false )
| ( ( v4_group_1 @ SV60 )
= $false )
| ( ( v3_struct_0 @ SV60 )
= $true )
| ( ( v3_group_1 @ SV60 )
= $false )
| ( ( l1_group_1 @ SV60 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7585]) ).
thf(7648,plain,
! [SV177: $i,SV141: $i,SV60: $i] :
( ( ( ~ ( ( ( k1_group_1 @ SV60 @ SV141 @ SV177 )
!= ( k2_group_1 @ SV60 ) )
| ( ( k1_group_1 @ SV60 @ SV177 @ SV141 )
!= ( k2_group_1 @ SV60 ) ) ) )
= $false )
| ( ( SV177
= ( k3_group_1 @ SV60 @ SV141 ) )
= $true )
| ( ( m1_subset_1 @ SV177 @ ( u1_struct_0 @ SV60 ) )
= $false )
| ( ( m1_subset_1 @ SV141 @ ( u1_struct_0 @ SV60 ) )
= $false )
| ( ( v4_group_1 @ SV60 )
= $false )
| ( ( v3_struct_0 @ SV60 )
= $true )
| ( ( v3_group_1 @ SV60 )
= $false )
| ( ( l1_group_1 @ SV60 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7586]) ).
thf(7649,plain,
! [SV87: $i,SV61: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV61 )
| ~ ( v1_group_1 @ SV61 ) ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV61 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV61 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV61 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV87 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( r2_group_6 @ SV61 @ SV87 )
| ( r2_group_6 @ SV87 @ SV61 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7587]) ).
thf(7650,plain,
! [SV107: $i,SV70: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ SV107 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ ( sK27_SY387 @ SV107 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( m1_subset_1 @ ( sK14_SY342 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7588]) ).
thf(7651,plain,
! [SV107: $i,SV70: $i] :
( ( ( v4_group_1 @ SV70 )
= $true )
| ( ( m1_subset_1 @ SV107 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ ( sK27_SY387 @ SV107 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( m1_subset_1 @ ( sK14_SY342 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7589]) ).
thf(7652,plain,
! [SV107: $i,SV70: $i] :
( ( ( ( k1_group_1 @ SV70 @ SV107 @ ( sK27_SY387 @ SV107 @ SV70 ) )
= ( sK27_SY387 @ SV107 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SV107 )
= ( sK27_SY387 @ SV107 @ SV70 ) )
= $false )
| ( ( ~ ~ ! [SY435: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY435 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SY435 )
!= SV107 ) )
| ( ( k1_group_1 @ SV70 @ SY435 @ ( sK27_SY387 @ SV107 @ SV70 ) )
!= SV107 ) ) )
= $true )
| ( ( m1_subset_1 @ SV107 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK14_SY342 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7590]) ).
thf(7653,plain,
! [SV146: $i,SV70: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV146 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ ( sK32_SY423 @ SV146 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( m1_subset_1 @ ( sK15_SY372 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7591]) ).
thf(7654,plain,
! [SV146: $i,SV70: $i] :
( ( ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SV146 )
!= ( sK32_SY423 @ SV146 @ SV70 ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ SV146 @ ( sK32_SY423 @ SV146 @ SV70 ) )
!= ( sK32_SY423 @ SV146 @ SV70 ) )
= $true )
| ( ( ~ ~ ! [SY457: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY457 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SY457 )
!= SV146 ) )
| ( ( k1_group_1 @ SV70 @ SY457 @ ( sK32_SY423 @ SV146 @ SV70 ) )
!= SV146 ) ) )
= $true )
| ( ( m1_subset_1 @ SV146 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK15_SY372 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7593]) ).
thf(7655,plain,
! [SV153: $i,SV70: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) ) )
= $false )
| ( ( m1_subset_1 @ SV153 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ ( sK37_SY436 @ SV153 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( m1_subset_1 @ ( sK20_SY376 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7594]) ).
thf(7656,plain,
! [SV153: $i,SV70: $i] :
( ( ( ~ ( l1_group_1 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV153 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ ( sK37_SY436 @ SV153 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( m1_subset_1 @ ( sK20_SY376 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7594]) ).
thf(7657,plain,
! [SV153: $i,SV70: $i] :
( ( ( ~ ( ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SV153 )
!= ( sK37_SY436 @ SV153 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ SV153 @ ( sK37_SY436 @ SV153 @ SV70 ) )
!= ( sK37_SY436 @ SV153 @ SV70 ) ) ) )
= $false )
| ( ( ~ ~ ! [SY466: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY466 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SY466 )
!= SV153 ) )
| ( ( k1_group_1 @ SV70 @ SY466 @ ( sK37_SY436 @ SV153 @ SV70 ) )
!= SV153 ) ) )
= $true )
| ( ( m1_subset_1 @ SV153 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK20_SY376 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7595]) ).
thf(7658,plain,
! [SV152: $i,SV70: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ ( sK35_SY433 @ SV152 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( sK15_SY372 @ SV70 ) ) @ ( sK20_SY376 @ SV70 ) )
= ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( k1_group_1 @ SV70 @ ( sK15_SY372 @ SV70 ) @ ( sK20_SY376 @ SV70 ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7596]) ).
thf(7659,plain,
! [SV152: $i,SV70: $i] :
( ( ( l1_group_1 @ SV70 )
= $true )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ ( sK35_SY433 @ SV152 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( sK15_SY372 @ SV70 ) ) @ ( sK20_SY376 @ SV70 ) )
= ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( k1_group_1 @ SV70 @ ( sK15_SY372 @ SV70 ) @ ( sK20_SY376 @ SV70 ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7597]) ).
thf(7660,plain,
! [SV152: $i,SV70: $i] :
( ( ( ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SV152 )
!= ( sK35_SY433 @ SV152 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ SV152 @ ( sK35_SY433 @ SV152 @ SV70 ) )
!= ( sK35_SY433 @ SV152 @ SV70 ) ) )
= $true )
| ( ( ~ ~ ! [SY463: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY463 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SY463 )
!= SV152 ) )
| ( ( k1_group_1 @ SV70 @ SY463 @ ( sK35_SY433 @ SV152 @ SV70 ) )
!= SV152 ) ) )
= $true )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( sK15_SY372 @ SV70 ) ) @ ( sK20_SY376 @ SV70 ) )
= ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( k1_group_1 @ SV70 @ ( sK15_SY372 @ SV70 ) @ ( sK20_SY376 @ SV70 ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7598]) ).
thf(7661,plain,
! [SV179: $i,SV147: $i,SV71: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV147 @ SV179 ) @ ( k3_group_1 @ SV71 @ SV179 ) )
!= SV147 )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV147 @ ( k3_group_1 @ SV71 @ SV179 ) ) @ SV179 )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SV179 ) @ SV179 ) @ SV147 )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV179 @ ( k3_group_1 @ SV71 @ SV179 ) ) @ SV147 )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ SV147 @ ( k1_group_1 @ SV71 @ SV179 @ ( k3_group_1 @ SV71 @ SV179 ) ) )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ SV147 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SV179 ) @ SV179 ) )
!= SV147 ) ) )
= $false )
| ( ( m1_subset_1 @ SV179 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( m1_subset_1 @ SV147 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( v4_group_1 @ SV71 )
= $false )
| ( ( v3_struct_0 @ SV71 )
= $true )
| ( ( v3_group_1 @ SV71 )
= $false )
| ( ( l1_group_1 @ SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7599]) ).
thf(7662,plain,
! [SV147: $i,SV179: $i,SV71: $i] :
( ( ( ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SV179 ) @ ( k1_group_1 @ SV71 @ SV179 @ SV147 ) )
!= SV147 )
= $false )
| ( ( m1_subset_1 @ SV179 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( m1_subset_1 @ SV147 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( v4_group_1 @ SV71 )
= $false )
| ( ( v3_struct_0 @ SV71 )
= $true )
| ( ( v3_group_1 @ SV71 )
= $false )
| ( ( l1_group_1 @ SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7599]) ).
thf(7663,plain,
! [SV91: $i,SV72: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV72 )
| ~ ( v1_group_1 @ SV72 ) ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV72 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV72 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV72 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV91 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV91 ) )
= $true )
| ( ( r2_group_6 @ SV72 @ SV72 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7600]) ).
thf(7664,plain,
! [SV191: $i,SV180: $i,SV149: $i,SV74: $i] :
( ( ( ~ ( ( ( k1_group_1 @ SV74 @ SV149 @ SV180 )
!= SV191 )
| ( SV180
= ( k1_group_1 @ SV74 @ ( k3_group_1 @ SV74 @ SV149 ) @ SV191 ) ) ) )
= $false )
| ( ( m1_subset_1 @ SV191 @ ( u1_struct_0 @ SV74 ) )
= $false )
| ( ( m1_subset_1 @ SV180 @ ( u1_struct_0 @ SV74 ) )
= $false )
| ( ( m1_subset_1 @ SV149 @ ( u1_struct_0 @ SV74 ) )
= $false )
| ( ( v4_group_1 @ SV74 )
= $false )
| ( ( v3_struct_0 @ SV74 )
= $true )
| ( ( v3_group_1 @ SV74 )
= $false )
| ( ( l1_group_1 @ SV74 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7601]) ).
thf(7665,plain,
! [SV191: $i,SV149: $i,SV74: $i,SV180: $i] :
( ( ( ~ ( ( SV180
!= ( k1_group_1 @ SV74 @ ( k3_group_1 @ SV74 @ SV149 ) @ SV191 ) )
| ( ( k1_group_1 @ SV74 @ SV149 @ SV180 )
= SV191 ) ) )
= $false )
| ( ( m1_subset_1 @ SV191 @ ( u1_struct_0 @ SV74 ) )
= $false )
| ( ( m1_subset_1 @ SV180 @ ( u1_struct_0 @ SV74 ) )
= $false )
| ( ( m1_subset_1 @ SV149 @ ( u1_struct_0 @ SV74 ) )
= $false )
| ( ( v4_group_1 @ SV74 )
= $false )
| ( ( v3_struct_0 @ SV74 )
= $true )
| ( ( v3_group_1 @ SV74 )
= $false )
| ( ( l1_group_1 @ SV74 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7601]) ).
thf(7666,plain,
! [SV77: $i,SV151: $i,SV181: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK40_SY451 @ SV181 @ SV151 @ SV77 ) @ ( u1_struct_0 @ SV77 ) ) )
= $false )
| ( ( m1_subset_1 @ SV181 @ ( u1_struct_0 @ SV77 ) )
= $false )
| ( ( m1_subset_1 @ SV151 @ ( u1_struct_0 @ SV77 ) )
= $false )
| ( ( v4_group_1 @ SV77 )
= $false )
| ( ( v3_struct_0 @ SV77 )
= $true )
| ( ( v3_group_1 @ SV77 )
= $false )
| ( ( l1_group_1 @ SV77 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7602]) ).
thf(7667,plain,
! [SV151: $i,SV181: $i,SV77: $i] :
( ( ( ( k1_group_1 @ SV77 @ ( sK40_SY451 @ SV181 @ SV151 @ SV77 ) @ SV151 )
!= SV181 )
= $false )
| ( ( m1_subset_1 @ SV181 @ ( u1_struct_0 @ SV77 ) )
= $false )
| ( ( m1_subset_1 @ SV151 @ ( u1_struct_0 @ SV77 ) )
= $false )
| ( ( v4_group_1 @ SV77 )
= $false )
| ( ( v3_struct_0 @ SV77 )
= $true )
| ( ( v3_group_1 @ SV77 )
= $false )
| ( ( l1_group_1 @ SV77 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7602]) ).
thf(7668,plain,
! [SV186: $i,SV157: $i,SV114: $i,SV8: $i] :
( ( ( ( k1_group_1 @ SV8 @ SV114 @ SV157 )
= ( k1_group_1 @ SV8 @ SV114 @ SV186 ) )
= $false )
| ( ( SV157 = SV186 )
= $true )
| ( ( m1_subset_1 @ SV186 @ ( u1_struct_0 @ SV8 ) )
= $false )
| ( ( m1_subset_1 @ SV157 @ ( u1_struct_0 @ SV8 ) )
= $false )
| ( ( m1_subset_1 @ SV114 @ ( u1_struct_0 @ SV8 ) )
= $false )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7603]) ).
thf(7669,plain,
! [SV186: $i,SV114: $i,SV157: $i,SV8: $i] :
( ( ( ( k1_group_1 @ SV8 @ SV157 @ SV114 )
= ( k1_group_1 @ SV8 @ SV186 @ SV114 ) )
= $false )
| ( ( SV157 = SV186 )
= $true )
| ( ( m1_subset_1 @ SV186 @ ( u1_struct_0 @ SV8 ) )
= $false )
| ( ( m1_subset_1 @ SV157 @ ( u1_struct_0 @ SV8 ) )
= $false )
| ( ( m1_subset_1 @ SV114 @ ( u1_struct_0 @ SV8 ) )
= $false )
| ( ( v4_group_1 @ SV8 )
= $false )
| ( ( v3_struct_0 @ SV8 )
= $true )
| ( ( v3_group_1 @ SV8 )
= $false )
| ( ( l1_group_1 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7603]) ).
thf(7670,plain,
! [SV11: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ ( k3_autgroup @ SV11 ) )
| ~ ( v1_group_1 @ ( k3_autgroup @ SV11 ) ) ) )
= $false )
| ( ( v4_group_1 @ SV11 )
= $false )
| ( ( v1_group_1 @ SV11 )
= $false )
| ( ( v3_struct_0 @ SV11 )
= $true )
| ( ( v3_group_1 @ SV11 )
= $false )
| ( ( l1_group_1 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7606]) ).
thf(7671,plain,
! [SV11: $i] :
( ( ( ~ ( v3_group_1 @ ( k3_autgroup @ SV11 ) ) )
= $false )
| ( ( v4_group_1 @ SV11 )
= $false )
| ( ( v1_group_1 @ SV11 )
= $false )
| ( ( v3_struct_0 @ SV11 )
= $true )
| ( ( v3_group_1 @ SV11 )
= $false )
| ( ( l1_group_1 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7606]) ).
thf(7672,plain,
! [SV159: $i,SV116: $i,SV13: $i] :
( ( ( ( k3_group_5 @ SV13 @ SV116 @ SV159 @ ( k2_group_1 @ SV13 ) )
= ( k2_group_1 @ SV13 ) )
= $true )
| ( ( m1_subset_1 @ SV159 @ ( u1_struct_0 @ SV13 ) )
= $false )
| ( ( m1_subset_1 @ SV116 @ ( u1_struct_0 @ SV13 ) )
= $false )
| ( ( v4_group_1 @ SV13 )
= $false )
| ( ( v3_struct_0 @ SV13 )
= $true )
| ( ( v3_group_1 @ SV13 )
= $false )
| ( ( l1_group_1 @ SV13 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7607]) ).
thf(7673,plain,
! [SV159: $i,SV116: $i,SV13: $i] :
( ( ( ( k3_group_5 @ SV13 @ SV116 @ ( k2_group_1 @ SV13 ) @ SV159 )
= ( k2_group_1 @ SV13 ) )
= $true )
| ( ( m1_subset_1 @ SV159 @ ( u1_struct_0 @ SV13 ) )
= $false )
| ( ( m1_subset_1 @ SV116 @ ( u1_struct_0 @ SV13 ) )
= $false )
| ( ( v4_group_1 @ SV13 )
= $false )
| ( ( v3_struct_0 @ SV13 )
= $true )
| ( ( v3_group_1 @ SV13 )
= $false )
| ( ( l1_group_1 @ SV13 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7608]) ).
thf(7674,plain,
! [SV161: $i,SV16: $i] :
( ( ( ( k1_group_1 @ SV16 @ SV161 @ ( sK19_SY243 @ SV16 ) )
= SV161 )
= $true )
| ( ( m1_subset_1 @ SV161 @ ( u1_struct_0 @ SV16 ) )
= $false )
| ( ( v3_group_1 @ SV16 )
= $false )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7609]) ).
thf(7675,plain,
! [SV161: $i,SV16: $i] :
( ( ( ( k1_group_1 @ SV16 @ ( sK19_SY243 @ SV16 ) @ SV161 )
= SV161 )
= $true )
| ( ( m1_subset_1 @ SV161 @ ( u1_struct_0 @ SV16 ) )
= $false )
| ( ( v3_group_1 @ SV16 )
= $false )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7610]) ).
thf(7676,plain,
! [SV16: $i,SV161: $i] :
( ( ( ~ ( ~ ~ ( ~ ( m1_subset_1 @ ( sK41_SY439 @ SV161 @ SV16 ) @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ SV161 @ ( sK41_SY439 @ SV161 @ SV16 ) )
!= ( sK19_SY243 @ SV16 ) ) )
| ( ( k1_group_1 @ SV16 @ ( sK41_SY439 @ SV161 @ SV16 ) @ SV161 )
!= ( sK19_SY243 @ SV16 ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV161 @ ( u1_struct_0 @ SV16 ) )
= $false )
| ( ( v3_group_1 @ SV16 )
= $false )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7611]) ).
thf(7677,plain,
! [SV106: $i,SV16: $i] :
( ( ( ( k1_group_1 @ SV16 @ ( sK30_SY385 @ SV106 @ SV16 ) @ SV106 )
= ( sK30_SY385 @ SV106 @ SV16 ) )
= $false )
| ( ( ( k1_group_1 @ SV16 @ SV106 @ ( sK30_SY385 @ SV106 @ SV16 ) )
!= ( sK30_SY385 @ SV106 @ SV16 ) )
= $true )
| ( ( ~ ~ ! [SY453: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY453 @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ ( sK30_SY385 @ SV106 @ SV16 ) @ SY453 )
!= SV106 ) )
| ( ( k1_group_1 @ SV16 @ SY453 @ ( sK30_SY385 @ SV106 @ SV16 ) )
!= SV106 ) ) )
= $true )
| ( ( m1_subset_1 @ SV106 @ ( u1_struct_0 @ SV16 ) )
= $false )
| ( ( v3_group_1 @ SV16 )
= $true )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7612]) ).
thf(7678,plain,
! [SV187: $i,SV163: $i,SV120: $i,SV21: $i] :
( ( ( ~ ( r2_group_3 @ SV21 @ SV120 @ SV163 )
| ~ ( r2_group_3 @ SV21 @ SV163 @ SV187 ) )
= $true )
| ( ( r2_group_3 @ SV21 @ SV120 @ SV187 )
= $true )
| ( ( m1_subset_1 @ SV187 @ ( u1_struct_0 @ SV21 ) )
= $false )
| ( ( m1_subset_1 @ SV163 @ ( u1_struct_0 @ SV21 ) )
= $false )
| ( ( m1_subset_1 @ SV120 @ ( u1_struct_0 @ SV21 ) )
= $false )
| ( ( v4_group_1 @ SV21 )
= $false )
| ( ( v3_struct_0 @ SV21 )
= $true )
| ( ( v3_group_1 @ SV21 )
= $false )
| ( ( l1_group_1 @ SV21 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7613]) ).
thf(7679,plain,
! [SV22: $i,SV183: $i] :
( ( ( ( u1_struct_0 @ SV183 )
!= ( u1_struct_0 @ SV22 ) )
= $true )
| ( ( SV183 = SV22 )
= $true )
| ( ( v1_group_1 @ SV183 )
= $false )
| ( ( m1_group_2 @ SV183 @ SV22 )
= $false )
| ( ( v4_group_1 @ SV22 )
= $false )
| ( ( v1_group_1 @ SV22 )
= $false )
| ( ( v3_struct_0 @ SV22 )
= $true )
| ( ( v3_group_1 @ SV22 )
= $false )
| ( ( l1_group_1 @ SV22 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7614]) ).
thf(7680,plain,
! [SV26: $i,SV123: $i] :
( ( ( ~ ( v3_struct_0 @ SV123 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV123 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV123 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV123 ) )
= $true )
| ( ( ! [SY403: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY403 )
| ~ ( v3_group_1 @ SY403 ) )
| ~ ( v4_group_1 @ SY403 ) )
| ~ ( l1_group_1 @ SY403 ) )
| ~ ~ ( ~ ( m1_group_2 @ SV26 @ SV123 )
| ~ ( m1_group_2 @ SV123 @ SY403 ) )
| ( m1_group_2 @ SV26 @ SY403 ) ) )
= $true )
| ( ( v4_group_1 @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( v3_group_1 @ SV26 )
= $false )
| ( ( l1_group_1 @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7617]) ).
thf(7681,plain,
! [SV28: $i,SV193: $i] :
( ( ( ~ ( m1_subset_1 @ SV193 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ ( sK23_SY268 @ SV28 ) @ SV193 )
!= ( sK28_SY430 @ SV28 ) ) )
= $true )
| ( ( ~ ~ ! [SY442: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY442 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY442 @ ( sK23_SY268 @ SV28 ) )
!= ( sK28_SY430 @ SV28 ) ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK16_SY265 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7618]) ).
thf(7682,plain,
! [SV28: $i,SV194: $i] :
( ( ( ~ ~ ( ~ ( m1_subset_1 @ SV194 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ ( sK29_SY268 @ SV28 ) @ SV194 )
!= ( sK33_SY443 @ SV28 ) ) ) )
= $true )
| ( ( ~ ~ ! [SY459: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY459 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY459 @ ( sK29_SY268 @ SV28 ) )
!= ( sK33_SY443 @ SV28 ) ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK21_SY377 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7621]) ).
thf(7683,plain,
! [SV28: $i] :
( ( ( ~ ( v4_group_1 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ ( sK24_SY389 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( m1_subset_1 @ ( sK38_SY460 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7624]) ).
thf(7684,plain,
! [SV28: $i] :
( ( ( ~ ( v3_group_1 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ ( sK24_SY389 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( m1_subset_1 @ ( sK38_SY460 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7624]) ).
thf(7685,plain,
! [SV28: $i] :
( ( ( ~ ! [SY467: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY467 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ ( sK34_SY268 @ SV28 ) @ SY467 )
!= ( sK38_SY460 @ SV28 ) ) ) )
= $false )
| ( ( ~ ~ ! [SY468: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY468 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY468 @ ( sK34_SY268 @ SV28 ) )
!= ( sK38_SY460 @ SV28 ) ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK24_SY389 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7625]) ).
thf(7686,plain,
! [SV28: $i] :
( ( ( v4_group_1 @ SV28 )
= $true )
| ( ( ( k1_group_1 @ SV28 @ ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( sK21_SY377 @ SV28 ) ) @ ( sK24_SY389 @ SV28 ) )
= ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( k1_group_1 @ SV28 @ ( sK21_SY377 @ SV28 ) @ ( sK24_SY389 @ SV28 ) ) ) )
= $false )
| ( ( m1_subset_1 @ ( sK36_SY454 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7626]) ).
thf(7687,plain,
! [SV28: $i] :
( ( ( v3_group_1 @ SV28 )
= $true )
| ( ( ( k1_group_1 @ SV28 @ ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( sK21_SY377 @ SV28 ) ) @ ( sK24_SY389 @ SV28 ) )
= ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( k1_group_1 @ SV28 @ ( sK21_SY377 @ SV28 ) @ ( sK24_SY389 @ SV28 ) ) ) )
= $false )
| ( ( m1_subset_1 @ ( sK36_SY454 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7627]) ).
thf(7688,plain,
! [SV28: $i] :
( ( ( ! [SY464: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY464 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ ( sK31_SY268 @ SV28 ) @ SY464 )
!= ( sK36_SY454 @ SV28 ) ) ) )
= $true )
| ( ( ~ ~ ! [SY465: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY465 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY465 @ ( sK31_SY268 @ SV28 ) )
!= ( sK36_SY454 @ SV28 ) ) ) )
= $true )
| ( ( ( k1_group_1 @ SV28 @ ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( sK21_SY377 @ SV28 ) ) @ ( sK24_SY389 @ SV28 ) )
= ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( k1_group_1 @ SV28 @ ( sK21_SY377 @ SV28 ) @ ( sK24_SY389 @ SV28 ) ) ) )
= $false )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7628]) ).
thf(7689,plain,
! [SV167: $i,SV34: $i,SV127: $i] :
( ( ( SV127
= ( k3_group_1 @ SV34 @ SV167 ) )
= $true )
| ( ( ( k1_group_1 @ SV34 @ SV127 @ SV167 )
= ( k2_group_1 @ SV34 ) )
= $false )
| ( ( m1_subset_1 @ SV167 @ ( u1_struct_0 @ SV34 ) )
= $false )
| ( ( m1_subset_1 @ SV127 @ ( u1_struct_0 @ SV34 ) )
= $false )
| ( ( v4_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7630]) ).
thf(7690,plain,
! [SV127: $i,SV34: $i,SV167: $i] :
( ( ( SV167
= ( k3_group_1 @ SV34 @ SV127 ) )
= $true )
| ( ( ( k1_group_1 @ SV34 @ SV127 @ SV167 )
= ( k2_group_1 @ SV34 ) )
= $false )
| ( ( m1_subset_1 @ SV167 @ ( u1_struct_0 @ SV34 ) )
= $false )
| ( ( m1_subset_1 @ SV127 @ ( u1_struct_0 @ SV34 ) )
= $false )
| ( ( v4_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7631]) ).
thf(7691,plain,
! [SV167: $i,SV34: $i,SV127: $i] :
( ( ( SV127
= ( k3_group_1 @ SV34 @ SV167 ) )
= $true )
| ( ( ( k1_group_1 @ SV34 @ SV167 @ SV127 )
= ( k2_group_1 @ SV34 ) )
= $false )
| ( ( m1_subset_1 @ SV167 @ ( u1_struct_0 @ SV34 ) )
= $false )
| ( ( m1_subset_1 @ SV127 @ ( u1_struct_0 @ SV34 ) )
= $false )
| ( ( v4_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7632]) ).
thf(7692,plain,
! [SV127: $i,SV34: $i,SV167: $i] :
( ( ( SV167
= ( k3_group_1 @ SV34 @ SV127 ) )
= $true )
| ( ( ( k1_group_1 @ SV34 @ SV167 @ SV127 )
= ( k2_group_1 @ SV34 ) )
= $false )
| ( ( m1_subset_1 @ SV167 @ ( u1_struct_0 @ SV34 ) )
= $false )
| ( ( m1_subset_1 @ SV127 @ ( u1_struct_0 @ SV34 ) )
= $false )
| ( ( v4_group_1 @ SV34 )
= $false )
| ( ( v3_struct_0 @ SV34 )
= $true )
| ( ( v3_group_1 @ SV34 )
= $false )
| ( ( l1_group_1 @ SV34 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7633]) ).
thf(7693,plain,
! [SV83: $i,SV35: $i] :
( ( ( v4_group_1 @ SV35 )
= $false )
| ( ( v3_struct_0 @ SV35 )
= $true )
| ( ( v3_group_1 @ SV35 )
= $false )
| ( ( ~ ( l1_group_1 @ SV35 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV83 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV83 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV83 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV83 ) )
= $true )
| ( ( r1_group_6 @ SV35 @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7634]) ).
thf(7694,plain,
! [SV189: $i,SV168: $i,SV128: $i,SV36: $i] :
( ( ( ( ( k1_group_1 @ SV36 @ SV128 @ SV168 )
!= SV189 )
| ( SV128
= ( k1_group_1 @ SV36 @ SV189 @ ( k3_group_1 @ SV36 @ SV168 ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV189 @ ( u1_struct_0 @ SV36 ) )
= $false )
| ( ( m1_subset_1 @ SV168 @ ( u1_struct_0 @ SV36 ) )
= $false )
| ( ( m1_subset_1 @ SV128 @ ( u1_struct_0 @ SV36 ) )
= $false )
| ( ( v4_group_1 @ SV36 )
= $false )
| ( ( v3_struct_0 @ SV36 )
= $true )
| ( ( v3_group_1 @ SV36 )
= $false )
| ( ( l1_group_1 @ SV36 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7635]) ).
thf(7695,plain,
! [SV168: $i,SV189: $i,SV36: $i,SV128: $i] :
( ( ( ( SV128
!= ( k1_group_1 @ SV36 @ SV189 @ ( k3_group_1 @ SV36 @ SV168 ) ) )
| ( ( k1_group_1 @ SV36 @ SV128 @ SV168 )
= SV189 ) )
= $true )
| ( ( m1_subset_1 @ SV189 @ ( u1_struct_0 @ SV36 ) )
= $false )
| ( ( m1_subset_1 @ SV168 @ ( u1_struct_0 @ SV36 ) )
= $false )
| ( ( m1_subset_1 @ SV128 @ ( u1_struct_0 @ SV36 ) )
= $false )
| ( ( v4_group_1 @ SV36 )
= $false )
| ( ( v3_struct_0 @ SV36 )
= $true )
| ( ( v3_group_1 @ SV36 )
= $false )
| ( ( l1_group_1 @ SV36 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7636]) ).
thf(7696,plain,
! [SV98: $i,SV95: $i,SV84: $i,SV47: $i] :
( ( ( l1_group_1 @ SV47 )
= $false )
| ( ( v3_group_1 @ SV47 )
= $false )
| ( ( v3_struct_0 @ SV47 )
= $true )
| ( ( v4_group_1 @ SV47 )
= $false )
| ( ( ~ ( m1_subset_1 @ SV84 @ ( u1_struct_0 @ SV47 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV95 @ ( u1_struct_0 @ SV47 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV98 @ ( u1_struct_0 @ SV47 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k3_group_5 @ SV47 @ SV84 @ SV95 @ SV98 ) @ ( u1_struct_0 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7637]) ).
thf(7697,plain,
! [SV48: $i,SV134: $i] :
( ( ( ~ ( v3_struct_0 @ SV134 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV134 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV134 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV134 ) )
= $true )
| ( ( ! [SY414: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY414 )
| ~ ( v3_group_1 @ SY414 ) )
| ~ ( v4_group_1 @ SY414 ) )
| ~ ( l1_group_1 @ SY414 ) )
| ~ ~ ( ~ ( r1_group_6 @ SV48 @ SV134 )
| ~ ( r1_group_6 @ SV134 @ SY414 ) )
| ( r1_group_6 @ SV48 @ SY414 ) ) )
= $true )
| ( ( v4_group_1 @ SV48 )
= $false )
| ( ( v3_struct_0 @ SV48 )
= $true )
| ( ( v3_group_1 @ SV48 )
= $false )
| ( ( l1_group_1 @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7638]) ).
thf(7698,plain,
! [SV96: $i,SV86: $i,SV51: $i] :
( ( ( r2_group_3 @ SV51 @ SV86 @ SV96 )
= $false )
| ( ( r2_group_3 @ SV51 @ SV96 @ SV86 )
= $true )
| ( ( m1_subset_1 @ SV86 @ ( u1_struct_0 @ SV51 ) )
= $false )
| ( ( v4_group_1 @ SV51 )
= $false )
| ( ( v3_struct_0 @ SV51 )
= $true )
| ( ( v3_group_1 @ SV51 )
= $false )
| ( ( l1_group_1 @ SV51 )
= $false )
| ( ( m1_subset_1 @ SV96 @ ( u1_struct_0 @ SV51 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7639]) ).
thf(7699,plain,
! [SV52: $i,SV184: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV184 )
| ~ ( v1_group_1 @ SV184 ) )
| ~ ( v3_group_1 @ SV184 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV184 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV184 ) )
= $true )
| ( ( ~ ( r1_group_6 @ SV52 @ SV184 )
| ( r1_group_6 @ SV184 @ SV52 ) )
= $true )
| ( ( v4_group_1 @ SV52 )
= $false )
| ( ( v1_group_1 @ SV52 )
= $false )
| ( ( v3_struct_0 @ SV52 )
= $true )
| ( ( v3_group_1 @ SV52 )
= $false )
| ( ( l1_group_1 @ SV52 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7640]) ).
thf(7700,plain,
! [SV138: $i,SV175: $i,SV56: $i] :
( ( ( ( k1_group_1 @ SV56 @ SV175 @ SV138 )
= ( k2_group_1 @ SV56 ) )
= $false )
| ( ( ( k1_group_1 @ SV56 @ SV138 @ SV175 )
= ( k2_group_1 @ SV56 ) )
= $false )
| ( ( SV175
= ( k3_group_1 @ SV56 @ SV138 ) )
= $true )
| ( ( m1_subset_1 @ SV175 @ ( u1_struct_0 @ SV56 ) )
= $false )
| ( ( m1_subset_1 @ SV138 @ ( u1_struct_0 @ SV56 ) )
= $false )
| ( ( v4_group_1 @ SV56 )
= $false )
| ( ( v3_struct_0 @ SV56 )
= $true )
| ( ( v3_group_1 @ SV56 )
= $false )
| ( ( l1_group_1 @ SV56 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7644]) ).
thf(7701,plain,
! [SV59: $i,SV140: $i,SV176: $i] :
( ( ( m1_subset_1 @ ( sK39_SY449 @ SV176 @ SV140 @ SV59 ) @ ( u1_struct_0 @ SV59 ) )
= $true )
| ( ( m1_subset_1 @ SV176 @ ( u1_struct_0 @ SV59 ) )
= $false )
| ( ( m1_subset_1 @ SV140 @ ( u1_struct_0 @ SV59 ) )
= $false )
| ( ( v4_group_1 @ SV59 )
= $false )
| ( ( v3_struct_0 @ SV59 )
= $true )
| ( ( v3_group_1 @ SV59 )
= $false )
| ( ( l1_group_1 @ SV59 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7645]) ).
thf(7702,plain,
! [SV176: $i,SV140: $i,SV59: $i] :
( ( ( ( k1_group_1 @ SV59 @ SV140 @ ( sK39_SY449 @ SV176 @ SV140 @ SV59 ) )
= SV176 )
= $true )
| ( ( m1_subset_1 @ SV176 @ ( u1_struct_0 @ SV59 ) )
= $false )
| ( ( m1_subset_1 @ SV140 @ ( u1_struct_0 @ SV59 ) )
= $false )
| ( ( v4_group_1 @ SV59 )
= $false )
| ( ( v3_struct_0 @ SV59 )
= $true )
| ( ( v3_group_1 @ SV59 )
= $false )
| ( ( l1_group_1 @ SV59 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7646]) ).
thf(7703,plain,
! [SV177: $i,SV141: $i,SV60: $i] :
( ( ( ( ( k1_group_1 @ SV60 @ SV141 @ SV177 )
!= ( k2_group_1 @ SV60 ) )
| ( ( k1_group_1 @ SV60 @ SV177 @ SV141 )
!= ( k2_group_1 @ SV60 ) ) )
= $false )
| ( ( SV177
= ( k3_group_1 @ SV60 @ SV141 ) )
= $false )
| ( ( m1_subset_1 @ SV177 @ ( u1_struct_0 @ SV60 ) )
= $false )
| ( ( m1_subset_1 @ SV141 @ ( u1_struct_0 @ SV60 ) )
= $false )
| ( ( v4_group_1 @ SV60 )
= $false )
| ( ( v3_struct_0 @ SV60 )
= $true )
| ( ( v3_group_1 @ SV60 )
= $false )
| ( ( l1_group_1 @ SV60 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7647]) ).
thf(7704,plain,
! [SV177: $i,SV141: $i,SV60: $i] :
( ( ( ( ( k1_group_1 @ SV60 @ SV141 @ SV177 )
!= ( k2_group_1 @ SV60 ) )
| ( ( k1_group_1 @ SV60 @ SV177 @ SV141 )
!= ( k2_group_1 @ SV60 ) ) )
= $true )
| ( ( SV177
= ( k3_group_1 @ SV60 @ SV141 ) )
= $true )
| ( ( m1_subset_1 @ SV177 @ ( u1_struct_0 @ SV60 ) )
= $false )
| ( ( m1_subset_1 @ SV141 @ ( u1_struct_0 @ SV60 ) )
= $false )
| ( ( v4_group_1 @ SV60 )
= $false )
| ( ( v3_struct_0 @ SV60 )
= $true )
| ( ( v3_group_1 @ SV60 )
= $false )
| ( ( l1_group_1 @ SV60 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7648]) ).
thf(7705,plain,
! [SV87: $i,SV61: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV61 )
| ~ ( v1_group_1 @ SV61 ) ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV61 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV61 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV61 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV87 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( r2_group_6 @ SV61 @ SV87 )
| ( r2_group_6 @ SV87 @ SV61 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7649]) ).
thf(7706,plain,
! [SV107: $i,SV70: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV107 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ ( sK27_SY387 @ SV107 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( m1_subset_1 @ ( sK14_SY342 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7650]) ).
thf(7707,plain,
! [SV107: $i,SV70: $i] :
( ( ( ~ ! [SY435: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY435 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SY435 )
!= SV107 ) )
| ( ( k1_group_1 @ SV70 @ SY435 @ ( sK27_SY387 @ SV107 @ SV70 ) )
!= SV107 ) ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SV107 )
= ( sK27_SY387 @ SV107 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV107 @ ( sK27_SY387 @ SV107 @ SV70 ) )
= ( sK27_SY387 @ SV107 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV107 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK14_SY342 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7652]) ).
thf(7708,plain,
! [SV146: $i,SV70: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) ) )
= $false )
| ( ( m1_subset_1 @ SV146 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ ( sK32_SY423 @ SV146 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( m1_subset_1 @ ( sK15_SY372 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7653]) ).
thf(7709,plain,
! [SV146: $i,SV70: $i] :
( ( ( ~ ( v4_group_1 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV146 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ ( sK32_SY423 @ SV146 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( m1_subset_1 @ ( sK15_SY372 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7653]) ).
thf(7710,plain,
! [SV146: $i,SV70: $i] :
( ( ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SV146 )
= ( sK32_SY423 @ SV146 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV146 @ ( sK32_SY423 @ SV146 @ SV70 ) )
!= ( sK32_SY423 @ SV146 @ SV70 ) )
= $true )
| ( ( ~ ~ ! [SY457: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY457 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SY457 )
!= SV146 ) )
| ( ( k1_group_1 @ SV70 @ SY457 @ ( sK32_SY423 @ SV146 @ SV70 ) )
!= SV146 ) ) )
= $true )
| ( ( m1_subset_1 @ SV146 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK15_SY372 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7654]) ).
thf(7711,plain,
! [SV153: $i,SV70: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ SV153 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ ( sK37_SY436 @ SV153 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( m1_subset_1 @ ( sK20_SY376 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7655]) ).
thf(7712,plain,
! [SV153: $i,SV70: $i] :
( ( ( l1_group_1 @ SV70 )
= $true )
| ( ( m1_subset_1 @ SV153 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ ( sK37_SY436 @ SV153 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( m1_subset_1 @ ( sK20_SY376 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7656]) ).
thf(7713,plain,
! [SV153: $i,SV70: $i] :
( ( ( ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SV153 )
!= ( sK37_SY436 @ SV153 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ SV153 @ ( sK37_SY436 @ SV153 @ SV70 ) )
!= ( sK37_SY436 @ SV153 @ SV70 ) ) )
= $true )
| ( ( ~ ~ ! [SY466: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY466 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SY466 )
!= SV153 ) )
| ( ( k1_group_1 @ SV70 @ SY466 @ ( sK37_SY436 @ SV153 @ SV70 ) )
!= SV153 ) ) )
= $true )
| ( ( m1_subset_1 @ SV153 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK20_SY376 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7657]) ).
thf(7714,plain,
! [SV152: $i,SV70: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ ( sK35_SY433 @ SV152 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( sK15_SY372 @ SV70 ) ) @ ( sK20_SY376 @ SV70 ) )
= ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( k1_group_1 @ SV70 @ ( sK15_SY372 @ SV70 ) @ ( sK20_SY376 @ SV70 ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7658]) ).
thf(7715,plain,
! [SV152: $i,SV70: $i] :
( ( ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SV152 )
!= ( sK35_SY433 @ SV152 @ SV70 ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ SV152 @ ( sK35_SY433 @ SV152 @ SV70 ) )
!= ( sK35_SY433 @ SV152 @ SV70 ) )
= $true )
| ( ( ~ ~ ! [SY463: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY463 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SY463 )
!= SV152 ) )
| ( ( k1_group_1 @ SV70 @ SY463 @ ( sK35_SY433 @ SV152 @ SV70 ) )
!= SV152 ) ) )
= $true )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( sK15_SY372 @ SV70 ) ) @ ( sK20_SY376 @ SV70 ) )
= ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( k1_group_1 @ SV70 @ ( sK15_SY372 @ SV70 ) @ ( sK20_SY376 @ SV70 ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7660]) ).
thf(7716,plain,
! [SV179: $i,SV147: $i,SV71: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV147 @ SV179 ) @ ( k3_group_1 @ SV71 @ SV179 ) )
!= SV147 )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV147 @ ( k3_group_1 @ SV71 @ SV179 ) ) @ SV179 )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SV179 ) @ SV179 ) @ SV147 )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV179 @ ( k3_group_1 @ SV71 @ SV179 ) ) @ SV147 )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ SV147 @ ( k1_group_1 @ SV71 @ SV179 @ ( k3_group_1 @ SV71 @ SV179 ) ) )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ SV147 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SV179 ) @ SV179 ) )
!= SV147 ) ) )
= $true )
| ( ( m1_subset_1 @ SV179 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( m1_subset_1 @ SV147 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( v4_group_1 @ SV71 )
= $false )
| ( ( v3_struct_0 @ SV71 )
= $true )
| ( ( v3_group_1 @ SV71 )
= $false )
| ( ( l1_group_1 @ SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7661]) ).
thf(7717,plain,
! [SV147: $i,SV179: $i,SV71: $i] :
( ( ( ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SV179 ) @ ( k1_group_1 @ SV71 @ SV179 @ SV147 ) )
= SV147 )
= $true )
| ( ( m1_subset_1 @ SV179 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( m1_subset_1 @ SV147 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( v4_group_1 @ SV71 )
= $false )
| ( ( v3_struct_0 @ SV71 )
= $true )
| ( ( v3_group_1 @ SV71 )
= $false )
| ( ( l1_group_1 @ SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7662]) ).
thf(7718,plain,
! [SV91: $i,SV72: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV72 )
| ~ ( v1_group_1 @ SV72 ) ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV72 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV72 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV72 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV91 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV91 ) )
= $true )
| ( ( r2_group_6 @ SV72 @ SV72 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7663]) ).
thf(7719,plain,
! [SV191: $i,SV180: $i,SV149: $i,SV74: $i] :
( ( ( ( ( k1_group_1 @ SV74 @ SV149 @ SV180 )
!= SV191 )
| ( SV180
= ( k1_group_1 @ SV74 @ ( k3_group_1 @ SV74 @ SV149 ) @ SV191 ) ) )
= $true )
| ( ( m1_subset_1 @ SV191 @ ( u1_struct_0 @ SV74 ) )
= $false )
| ( ( m1_subset_1 @ SV180 @ ( u1_struct_0 @ SV74 ) )
= $false )
| ( ( m1_subset_1 @ SV149 @ ( u1_struct_0 @ SV74 ) )
= $false )
| ( ( v4_group_1 @ SV74 )
= $false )
| ( ( v3_struct_0 @ SV74 )
= $true )
| ( ( v3_group_1 @ SV74 )
= $false )
| ( ( l1_group_1 @ SV74 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7664]) ).
thf(7720,plain,
! [SV191: $i,SV149: $i,SV74: $i,SV180: $i] :
( ( ( ( SV180
!= ( k1_group_1 @ SV74 @ ( k3_group_1 @ SV74 @ SV149 ) @ SV191 ) )
| ( ( k1_group_1 @ SV74 @ SV149 @ SV180 )
= SV191 ) )
= $true )
| ( ( m1_subset_1 @ SV191 @ ( u1_struct_0 @ SV74 ) )
= $false )
| ( ( m1_subset_1 @ SV180 @ ( u1_struct_0 @ SV74 ) )
= $false )
| ( ( m1_subset_1 @ SV149 @ ( u1_struct_0 @ SV74 ) )
= $false )
| ( ( v4_group_1 @ SV74 )
= $false )
| ( ( v3_struct_0 @ SV74 )
= $true )
| ( ( v3_group_1 @ SV74 )
= $false )
| ( ( l1_group_1 @ SV74 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7665]) ).
thf(7721,plain,
! [SV77: $i,SV151: $i,SV181: $i] :
( ( ( m1_subset_1 @ ( sK40_SY451 @ SV181 @ SV151 @ SV77 ) @ ( u1_struct_0 @ SV77 ) )
= $true )
| ( ( m1_subset_1 @ SV181 @ ( u1_struct_0 @ SV77 ) )
= $false )
| ( ( m1_subset_1 @ SV151 @ ( u1_struct_0 @ SV77 ) )
= $false )
| ( ( v4_group_1 @ SV77 )
= $false )
| ( ( v3_struct_0 @ SV77 )
= $true )
| ( ( v3_group_1 @ SV77 )
= $false )
| ( ( l1_group_1 @ SV77 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7666]) ).
thf(7722,plain,
! [SV151: $i,SV181: $i,SV77: $i] :
( ( ( ( k1_group_1 @ SV77 @ ( sK40_SY451 @ SV181 @ SV151 @ SV77 ) @ SV151 )
= SV181 )
= $true )
| ( ( m1_subset_1 @ SV181 @ ( u1_struct_0 @ SV77 ) )
= $false )
| ( ( m1_subset_1 @ SV151 @ ( u1_struct_0 @ SV77 ) )
= $false )
| ( ( v4_group_1 @ SV77 )
= $false )
| ( ( v3_struct_0 @ SV77 )
= $true )
| ( ( v3_group_1 @ SV77 )
= $false )
| ( ( l1_group_1 @ SV77 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7667]) ).
thf(7723,plain,
! [SV11: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ ( k3_autgroup @ SV11 ) )
| ~ ( v1_group_1 @ ( k3_autgroup @ SV11 ) ) ) )
= $true )
| ( ( v4_group_1 @ SV11 )
= $false )
| ( ( v1_group_1 @ SV11 )
= $false )
| ( ( v3_struct_0 @ SV11 )
= $true )
| ( ( v3_group_1 @ SV11 )
= $false )
| ( ( l1_group_1 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7670]) ).
thf(7724,plain,
! [SV11: $i] :
( ( ( v3_group_1 @ ( k3_autgroup @ SV11 ) )
= $true )
| ( ( v4_group_1 @ SV11 )
= $false )
| ( ( v1_group_1 @ SV11 )
= $false )
| ( ( v3_struct_0 @ SV11 )
= $true )
| ( ( v3_group_1 @ SV11 )
= $false )
| ( ( l1_group_1 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7671]) ).
thf(7725,plain,
! [SV16: $i,SV161: $i] :
( ( ( ~ ~ ( ~ ( m1_subset_1 @ ( sK41_SY439 @ SV161 @ SV16 ) @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ SV161 @ ( sK41_SY439 @ SV161 @ SV16 ) )
!= ( sK19_SY243 @ SV16 ) ) )
| ( ( k1_group_1 @ SV16 @ ( sK41_SY439 @ SV161 @ SV16 ) @ SV161 )
!= ( sK19_SY243 @ SV16 ) ) )
= $false )
| ( ( m1_subset_1 @ SV161 @ ( u1_struct_0 @ SV16 ) )
= $false )
| ( ( v3_group_1 @ SV16 )
= $false )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7676]) ).
thf(7726,plain,
! [SV106: $i,SV16: $i] :
( ( ( ( k1_group_1 @ SV16 @ SV106 @ ( sK30_SY385 @ SV106 @ SV16 ) )
= ( sK30_SY385 @ SV106 @ SV16 ) )
= $false )
| ( ( ( k1_group_1 @ SV16 @ ( sK30_SY385 @ SV106 @ SV16 ) @ SV106 )
= ( sK30_SY385 @ SV106 @ SV16 ) )
= $false )
| ( ( ~ ~ ! [SY453: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY453 @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ ( sK30_SY385 @ SV106 @ SV16 ) @ SY453 )
!= SV106 ) )
| ( ( k1_group_1 @ SV16 @ SY453 @ ( sK30_SY385 @ SV106 @ SV16 ) )
!= SV106 ) ) )
= $true )
| ( ( m1_subset_1 @ SV106 @ ( u1_struct_0 @ SV16 ) )
= $false )
| ( ( v3_group_1 @ SV16 )
= $true )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7677]) ).
thf(7727,plain,
! [SV187: $i,SV163: $i,SV120: $i,SV21: $i] :
( ( ( ~ ( r2_group_3 @ SV21 @ SV120 @ SV163 ) )
= $true )
| ( ( ~ ( r2_group_3 @ SV21 @ SV163 @ SV187 ) )
= $true )
| ( ( r2_group_3 @ SV21 @ SV120 @ SV187 )
= $true )
| ( ( m1_subset_1 @ SV187 @ ( u1_struct_0 @ SV21 ) )
= $false )
| ( ( m1_subset_1 @ SV163 @ ( u1_struct_0 @ SV21 ) )
= $false )
| ( ( m1_subset_1 @ SV120 @ ( u1_struct_0 @ SV21 ) )
= $false )
| ( ( v4_group_1 @ SV21 )
= $false )
| ( ( v3_struct_0 @ SV21 )
= $true )
| ( ( v3_group_1 @ SV21 )
= $false )
| ( ( l1_group_1 @ SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7678]) ).
thf(7728,plain,
! [SV22: $i,SV183: $i] :
( ( ( ( u1_struct_0 @ SV183 )
= ( u1_struct_0 @ SV22 ) )
= $false )
| ( ( SV183 = SV22 )
= $true )
| ( ( v1_group_1 @ SV183 )
= $false )
| ( ( m1_group_2 @ SV183 @ SV22 )
= $false )
| ( ( v4_group_1 @ SV22 )
= $false )
| ( ( v1_group_1 @ SV22 )
= $false )
| ( ( v3_struct_0 @ SV22 )
= $true )
| ( ( v3_group_1 @ SV22 )
= $false )
| ( ( l1_group_1 @ SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7679]) ).
thf(7729,plain,
! [SV26: $i,SV123: $i] :
( ( ( v3_struct_0 @ SV123 )
= $true )
| ( ( ~ ( v3_group_1 @ SV123 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV123 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV123 ) )
= $true )
| ( ( ! [SY403: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY403 )
| ~ ( v3_group_1 @ SY403 ) )
| ~ ( v4_group_1 @ SY403 ) )
| ~ ( l1_group_1 @ SY403 ) )
| ~ ~ ( ~ ( m1_group_2 @ SV26 @ SV123 )
| ~ ( m1_group_2 @ SV123 @ SY403 ) )
| ( m1_group_2 @ SV26 @ SY403 ) ) )
= $true )
| ( ( v4_group_1 @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( v3_group_1 @ SV26 )
= $false )
| ( ( l1_group_1 @ SV26 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7680]) ).
thf(7730,plain,
! [SV28: $i,SV193: $i] :
( ( ( ~ ( m1_subset_1 @ SV193 @ ( u1_struct_0 @ SV28 ) ) )
= $true )
| ( ( ( k1_group_1 @ SV28 @ ( sK23_SY268 @ SV28 ) @ SV193 )
!= ( sK28_SY430 @ SV28 ) )
= $true )
| ( ( ~ ~ ! [SY442: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY442 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY442 @ ( sK23_SY268 @ SV28 ) )
!= ( sK28_SY430 @ SV28 ) ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK16_SY265 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7681]) ).
thf(7731,plain,
! [SV28: $i,SV194: $i] :
( ( ( ~ ( ~ ( m1_subset_1 @ SV194 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ ( sK29_SY268 @ SV28 ) @ SV194 )
!= ( sK33_SY443 @ SV28 ) ) ) )
= $false )
| ( ( ~ ~ ! [SY459: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY459 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY459 @ ( sK29_SY268 @ SV28 ) )
!= ( sK33_SY443 @ SV28 ) ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK21_SY377 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7682]) ).
thf(7732,plain,
! [SV28: $i] :
( ( ( v4_group_1 @ SV28 )
= $true )
| ( ( m1_subset_1 @ ( sK24_SY389 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( m1_subset_1 @ ( sK38_SY460 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7683]) ).
thf(7733,plain,
! [SV28: $i] :
( ( ( v3_group_1 @ SV28 )
= $true )
| ( ( m1_subset_1 @ ( sK24_SY389 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( m1_subset_1 @ ( sK38_SY460 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7684]) ).
thf(7734,plain,
! [SV28: $i] :
( ( ( ! [SY467: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY467 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ ( sK34_SY268 @ SV28 ) @ SY467 )
!= ( sK38_SY460 @ SV28 ) ) ) )
= $true )
| ( ( ~ ~ ! [SY468: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY468 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY468 @ ( sK34_SY268 @ SV28 ) )
!= ( sK38_SY460 @ SV28 ) ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK24_SY389 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7685]) ).
thf(7735,plain,
! [SV28: $i,SV195: $i] :
( ( ( ~ ~ ( ~ ( m1_subset_1 @ SV195 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ ( sK31_SY268 @ SV28 ) @ SV195 )
!= ( sK36_SY454 @ SV28 ) ) ) )
= $true )
| ( ( ~ ~ ! [SY465: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY465 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY465 @ ( sK31_SY268 @ SV28 ) )
!= ( sK36_SY454 @ SV28 ) ) ) )
= $true )
| ( ( ( k1_group_1 @ SV28 @ ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( sK21_SY377 @ SV28 ) ) @ ( sK24_SY389 @ SV28 ) )
= ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( k1_group_1 @ SV28 @ ( sK21_SY377 @ SV28 ) @ ( sK24_SY389 @ SV28 ) ) ) )
= $false )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7688]) ).
thf(7736,plain,
! [SV83: $i,SV35: $i] :
( ( ( l1_group_1 @ SV35 )
= $false )
| ( ( v3_group_1 @ SV35 )
= $false )
| ( ( v3_struct_0 @ SV35 )
= $true )
| ( ( v4_group_1 @ SV35 )
= $false )
| ( ( ~ ~ ( v3_struct_0 @ SV83 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV83 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV83 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV83 ) )
= $true )
| ( ( r1_group_6 @ SV35 @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7693]) ).
thf(7737,plain,
! [SV189: $i,SV168: $i,SV128: $i,SV36: $i] :
( ( ( ( k1_group_1 @ SV36 @ SV128 @ SV168 )
!= SV189 )
= $true )
| ( ( SV128
= ( k1_group_1 @ SV36 @ SV189 @ ( k3_group_1 @ SV36 @ SV168 ) ) )
= $true )
| ( ( m1_subset_1 @ SV189 @ ( u1_struct_0 @ SV36 ) )
= $false )
| ( ( m1_subset_1 @ SV168 @ ( u1_struct_0 @ SV36 ) )
= $false )
| ( ( m1_subset_1 @ SV128 @ ( u1_struct_0 @ SV36 ) )
= $false )
| ( ( v4_group_1 @ SV36 )
= $false )
| ( ( v3_struct_0 @ SV36 )
= $true )
| ( ( v3_group_1 @ SV36 )
= $false )
| ( ( l1_group_1 @ SV36 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7694]) ).
thf(7738,plain,
! [SV168: $i,SV189: $i,SV36: $i,SV128: $i] :
( ( ( SV128
!= ( k1_group_1 @ SV36 @ SV189 @ ( k3_group_1 @ SV36 @ SV168 ) ) )
= $true )
| ( ( ( k1_group_1 @ SV36 @ SV128 @ SV168 )
= SV189 )
= $true )
| ( ( m1_subset_1 @ SV189 @ ( u1_struct_0 @ SV36 ) )
= $false )
| ( ( m1_subset_1 @ SV168 @ ( u1_struct_0 @ SV36 ) )
= $false )
| ( ( m1_subset_1 @ SV128 @ ( u1_struct_0 @ SV36 ) )
= $false )
| ( ( v4_group_1 @ SV36 )
= $false )
| ( ( v3_struct_0 @ SV36 )
= $true )
| ( ( v3_group_1 @ SV36 )
= $false )
| ( ( l1_group_1 @ SV36 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7695]) ).
thf(7739,plain,
! [SV98: $i,SV95: $i,SV47: $i,SV84: $i] :
( ( ( m1_subset_1 @ SV84 @ ( u1_struct_0 @ SV47 ) )
= $false )
| ( ( v4_group_1 @ SV47 )
= $false )
| ( ( v3_struct_0 @ SV47 )
= $true )
| ( ( v3_group_1 @ SV47 )
= $false )
| ( ( l1_group_1 @ SV47 )
= $false )
| ( ( ~ ( m1_subset_1 @ SV95 @ ( u1_struct_0 @ SV47 ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV98 @ ( u1_struct_0 @ SV47 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k3_group_5 @ SV47 @ SV84 @ SV95 @ SV98 ) @ ( u1_struct_0 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7696]) ).
thf(7740,plain,
! [SV48: $i,SV134: $i] :
( ( ( v3_struct_0 @ SV134 )
= $true )
| ( ( ~ ( v3_group_1 @ SV134 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV134 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV134 ) )
= $true )
| ( ( ! [SY414: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY414 )
| ~ ( v3_group_1 @ SY414 ) )
| ~ ( v4_group_1 @ SY414 ) )
| ~ ( l1_group_1 @ SY414 ) )
| ~ ~ ( ~ ( r1_group_6 @ SV48 @ SV134 )
| ~ ( r1_group_6 @ SV134 @ SY414 ) )
| ( r1_group_6 @ SV48 @ SY414 ) ) )
= $true )
| ( ( v4_group_1 @ SV48 )
= $false )
| ( ( v3_struct_0 @ SV48 )
= $true )
| ( ( v3_group_1 @ SV48 )
= $false )
| ( ( l1_group_1 @ SV48 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7697]) ).
thf(7741,plain,
! [SV52: $i,SV184: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV184 )
| ~ ( v1_group_1 @ SV184 ) )
| ~ ( v3_group_1 @ SV184 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV184 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV184 ) )
= $true )
| ( ( ~ ( r1_group_6 @ SV52 @ SV184 )
| ( r1_group_6 @ SV184 @ SV52 ) )
= $true )
| ( ( v4_group_1 @ SV52 )
= $false )
| ( ( v1_group_1 @ SV52 )
= $false )
| ( ( v3_struct_0 @ SV52 )
= $true )
| ( ( v3_group_1 @ SV52 )
= $false )
| ( ( l1_group_1 @ SV52 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7699]) ).
thf(7742,plain,
! [SV177: $i,SV141: $i,SV60: $i] :
( ( ( ( k1_group_1 @ SV60 @ SV141 @ SV177 )
!= ( k2_group_1 @ SV60 ) )
= $false )
| ( ( SV177
= ( k3_group_1 @ SV60 @ SV141 ) )
= $false )
| ( ( m1_subset_1 @ SV177 @ ( u1_struct_0 @ SV60 ) )
= $false )
| ( ( m1_subset_1 @ SV141 @ ( u1_struct_0 @ SV60 ) )
= $false )
| ( ( v4_group_1 @ SV60 )
= $false )
| ( ( v3_struct_0 @ SV60 )
= $true )
| ( ( v3_group_1 @ SV60 )
= $false )
| ( ( l1_group_1 @ SV60 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7703]) ).
thf(7743,plain,
! [SV141: $i,SV177: $i,SV60: $i] :
( ( ( ( k1_group_1 @ SV60 @ SV177 @ SV141 )
!= ( k2_group_1 @ SV60 ) )
= $false )
| ( ( SV177
= ( k3_group_1 @ SV60 @ SV141 ) )
= $false )
| ( ( m1_subset_1 @ SV177 @ ( u1_struct_0 @ SV60 ) )
= $false )
| ( ( m1_subset_1 @ SV141 @ ( u1_struct_0 @ SV60 ) )
= $false )
| ( ( v4_group_1 @ SV60 )
= $false )
| ( ( v3_struct_0 @ SV60 )
= $true )
| ( ( v3_group_1 @ SV60 )
= $false )
| ( ( l1_group_1 @ SV60 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7703]) ).
thf(7744,plain,
! [SV177: $i,SV141: $i,SV60: $i] :
( ( ( ( k1_group_1 @ SV60 @ SV141 @ SV177 )
!= ( k2_group_1 @ SV60 ) )
= $true )
| ( ( ( k1_group_1 @ SV60 @ SV177 @ SV141 )
!= ( k2_group_1 @ SV60 ) )
= $true )
| ( ( SV177
= ( k3_group_1 @ SV60 @ SV141 ) )
= $true )
| ( ( m1_subset_1 @ SV177 @ ( u1_struct_0 @ SV60 ) )
= $false )
| ( ( m1_subset_1 @ SV141 @ ( u1_struct_0 @ SV60 ) )
= $false )
| ( ( v4_group_1 @ SV60 )
= $false )
| ( ( v3_struct_0 @ SV60 )
= $true )
| ( ( v3_group_1 @ SV60 )
= $false )
| ( ( l1_group_1 @ SV60 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7704]) ).
thf(7745,plain,
! [SV87: $i,SV61: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV61 )
| ~ ( v1_group_1 @ SV61 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV61 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV61 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV61 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV87 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( r2_group_6 @ SV61 @ SV87 )
| ( r2_group_6 @ SV87 @ SV61 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7705]) ).
thf(7746,plain,
! [SV107: $i,SV70: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV107 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ ( sK27_SY387 @ SV107 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( m1_subset_1 @ ( sK14_SY342 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7706]) ).
thf(7747,plain,
! [SV107: $i,SV70: $i] :
( ( ( ~ ( v3_group_1 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV107 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ ( sK27_SY387 @ SV107 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( m1_subset_1 @ ( sK14_SY342 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7706]) ).
thf(7748,plain,
! [SV107: $i,SV70: $i] :
( ( ( ! [SY435: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY435 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SY435 )
!= SV107 ) )
| ( ( k1_group_1 @ SV70 @ SY435 @ ( sK27_SY387 @ SV107 @ SV70 ) )
!= SV107 ) ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SV107 )
= ( sK27_SY387 @ SV107 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV107 @ ( sK27_SY387 @ SV107 @ SV70 ) )
= ( sK27_SY387 @ SV107 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV107 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK14_SY342 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7707]) ).
thf(7749,plain,
! [SV146: $i,SV70: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ SV146 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ ( sK32_SY423 @ SV146 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( m1_subset_1 @ ( sK15_SY372 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7708]) ).
thf(7750,plain,
! [SV146: $i,SV70: $i] :
( ( ( v4_group_1 @ SV70 )
= $true )
| ( ( m1_subset_1 @ SV146 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ ( sK32_SY423 @ SV146 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( m1_subset_1 @ ( sK15_SY372 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7709]) ).
thf(7751,plain,
! [SV146: $i,SV70: $i] :
( ( ( ( k1_group_1 @ SV70 @ SV146 @ ( sK32_SY423 @ SV146 @ SV70 ) )
= ( sK32_SY423 @ SV146 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SV146 )
= ( sK32_SY423 @ SV146 @ SV70 ) )
= $false )
| ( ( ~ ~ ! [SY457: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY457 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SY457 )
!= SV146 ) )
| ( ( k1_group_1 @ SV70 @ SY457 @ ( sK32_SY423 @ SV146 @ SV70 ) )
!= SV146 ) ) )
= $true )
| ( ( m1_subset_1 @ SV146 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK15_SY372 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7710]) ).
thf(7752,plain,
! [SV153: $i,SV70: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV153 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ ( sK37_SY436 @ SV153 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( m1_subset_1 @ ( sK20_SY376 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7711]) ).
thf(7753,plain,
! [SV153: $i,SV70: $i] :
( ( ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SV153 )
!= ( sK37_SY436 @ SV153 @ SV70 ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ SV153 @ ( sK37_SY436 @ SV153 @ SV70 ) )
!= ( sK37_SY436 @ SV153 @ SV70 ) )
= $true )
| ( ( ~ ~ ! [SY466: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY466 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SY466 )
!= SV153 ) )
| ( ( k1_group_1 @ SV70 @ SY466 @ ( sK37_SY436 @ SV153 @ SV70 ) )
!= SV153 ) ) )
= $true )
| ( ( m1_subset_1 @ SV153 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK20_SY376 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7713]) ).
thf(7754,plain,
! [SV152: $i,SV70: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) ) )
= $false )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ ( sK35_SY433 @ SV152 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( sK15_SY372 @ SV70 ) ) @ ( sK20_SY376 @ SV70 ) )
= ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( k1_group_1 @ SV70 @ ( sK15_SY372 @ SV70 ) @ ( sK20_SY376 @ SV70 ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7714]) ).
thf(7755,plain,
! [SV152: $i,SV70: $i] :
( ( ( ~ ( v4_group_1 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ ( sK35_SY433 @ SV152 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( sK15_SY372 @ SV70 ) ) @ ( sK20_SY376 @ SV70 ) )
= ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( k1_group_1 @ SV70 @ ( sK15_SY372 @ SV70 ) @ ( sK20_SY376 @ SV70 ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7714]) ).
thf(7756,plain,
! [SV152: $i,SV70: $i] :
( ( ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SV152 )
= ( sK35_SY433 @ SV152 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV152 @ ( sK35_SY433 @ SV152 @ SV70 ) )
!= ( sK35_SY433 @ SV152 @ SV70 ) )
= $true )
| ( ( ~ ~ ! [SY463: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY463 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SY463 )
!= SV152 ) )
| ( ( k1_group_1 @ SV70 @ SY463 @ ( sK35_SY433 @ SV152 @ SV70 ) )
!= SV152 ) ) )
= $true )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( sK15_SY372 @ SV70 ) ) @ ( sK20_SY376 @ SV70 ) )
= ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( k1_group_1 @ SV70 @ ( sK15_SY372 @ SV70 ) @ ( sK20_SY376 @ SV70 ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7715]) ).
thf(7757,plain,
! [SV179: $i,SV147: $i,SV71: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV147 @ SV179 ) @ ( k3_group_1 @ SV71 @ SV179 ) )
!= SV147 )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV147 @ ( k3_group_1 @ SV71 @ SV179 ) ) @ SV179 )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SV179 ) @ SV179 ) @ SV147 )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV179 @ ( k3_group_1 @ SV71 @ SV179 ) ) @ SV147 )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ SV147 @ ( k1_group_1 @ SV71 @ SV179 @ ( k3_group_1 @ SV71 @ SV179 ) ) )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ SV147 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SV179 ) @ SV179 ) )
!= SV147 ) )
= $false )
| ( ( m1_subset_1 @ SV179 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( m1_subset_1 @ SV147 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( v4_group_1 @ SV71 )
= $false )
| ( ( v3_struct_0 @ SV71 )
= $true )
| ( ( v3_group_1 @ SV71 )
= $false )
| ( ( l1_group_1 @ SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7716]) ).
thf(7758,plain,
! [SV91: $i,SV72: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV72 )
| ~ ( v1_group_1 @ SV72 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV72 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV72 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV72 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV91 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV91 ) )
= $true )
| ( ( r2_group_6 @ SV72 @ SV72 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7718]) ).
thf(7759,plain,
! [SV191: $i,SV180: $i,SV149: $i,SV74: $i] :
( ( ( ( k1_group_1 @ SV74 @ SV149 @ SV180 )
!= SV191 )
= $true )
| ( ( SV180
= ( k1_group_1 @ SV74 @ ( k3_group_1 @ SV74 @ SV149 ) @ SV191 ) )
= $true )
| ( ( m1_subset_1 @ SV191 @ ( u1_struct_0 @ SV74 ) )
= $false )
| ( ( m1_subset_1 @ SV180 @ ( u1_struct_0 @ SV74 ) )
= $false )
| ( ( m1_subset_1 @ SV149 @ ( u1_struct_0 @ SV74 ) )
= $false )
| ( ( v4_group_1 @ SV74 )
= $false )
| ( ( v3_struct_0 @ SV74 )
= $true )
| ( ( v3_group_1 @ SV74 )
= $false )
| ( ( l1_group_1 @ SV74 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7719]) ).
thf(7760,plain,
! [SV191: $i,SV149: $i,SV74: $i,SV180: $i] :
( ( ( SV180
!= ( k1_group_1 @ SV74 @ ( k3_group_1 @ SV74 @ SV149 ) @ SV191 ) )
= $true )
| ( ( ( k1_group_1 @ SV74 @ SV149 @ SV180 )
= SV191 )
= $true )
| ( ( m1_subset_1 @ SV191 @ ( u1_struct_0 @ SV74 ) )
= $false )
| ( ( m1_subset_1 @ SV180 @ ( u1_struct_0 @ SV74 ) )
= $false )
| ( ( m1_subset_1 @ SV149 @ ( u1_struct_0 @ SV74 ) )
= $false )
| ( ( v4_group_1 @ SV74 )
= $false )
| ( ( v3_struct_0 @ SV74 )
= $true )
| ( ( v3_group_1 @ SV74 )
= $false )
| ( ( l1_group_1 @ SV74 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7720]) ).
thf(7761,plain,
! [SV11: $i] :
( ( ( ~ ~ ( v3_struct_0 @ ( k3_autgroup @ SV11 ) )
| ~ ( v1_group_1 @ ( k3_autgroup @ SV11 ) ) )
= $false )
| ( ( v4_group_1 @ SV11 )
= $false )
| ( ( v1_group_1 @ SV11 )
= $false )
| ( ( v3_struct_0 @ SV11 )
= $true )
| ( ( v3_group_1 @ SV11 )
= $false )
| ( ( l1_group_1 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7723]) ).
thf(7762,plain,
! [SV16: $i,SV161: $i] :
( ( ( ~ ~ ( ~ ( m1_subset_1 @ ( sK41_SY439 @ SV161 @ SV16 ) @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ SV161 @ ( sK41_SY439 @ SV161 @ SV16 ) )
!= ( sK19_SY243 @ SV16 ) ) ) )
= $false )
| ( ( m1_subset_1 @ SV161 @ ( u1_struct_0 @ SV16 ) )
= $false )
| ( ( v3_group_1 @ SV16 )
= $false )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7725]) ).
thf(7763,plain,
! [SV161: $i,SV16: $i] :
( ( ( ( k1_group_1 @ SV16 @ ( sK41_SY439 @ SV161 @ SV16 ) @ SV161 )
!= ( sK19_SY243 @ SV16 ) )
= $false )
| ( ( m1_subset_1 @ SV161 @ ( u1_struct_0 @ SV16 ) )
= $false )
| ( ( v3_group_1 @ SV16 )
= $false )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7725]) ).
thf(7764,plain,
! [SV106: $i,SV16: $i] :
( ( ( ~ ! [SY453: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY453 @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ ( sK30_SY385 @ SV106 @ SV16 ) @ SY453 )
!= SV106 ) )
| ( ( k1_group_1 @ SV16 @ SY453 @ ( sK30_SY385 @ SV106 @ SV16 ) )
!= SV106 ) ) )
= $false )
| ( ( ( k1_group_1 @ SV16 @ ( sK30_SY385 @ SV106 @ SV16 ) @ SV106 )
= ( sK30_SY385 @ SV106 @ SV16 ) )
= $false )
| ( ( ( k1_group_1 @ SV16 @ SV106 @ ( sK30_SY385 @ SV106 @ SV16 ) )
= ( sK30_SY385 @ SV106 @ SV16 ) )
= $false )
| ( ( m1_subset_1 @ SV106 @ ( u1_struct_0 @ SV16 ) )
= $false )
| ( ( v3_group_1 @ SV16 )
= $true )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7726]) ).
thf(7765,plain,
! [SV187: $i,SV163: $i,SV120: $i,SV21: $i] :
( ( ( r2_group_3 @ SV21 @ SV120 @ SV163 )
= $false )
| ( ( ~ ( r2_group_3 @ SV21 @ SV163 @ SV187 ) )
= $true )
| ( ( r2_group_3 @ SV21 @ SV120 @ SV187 )
= $true )
| ( ( m1_subset_1 @ SV187 @ ( u1_struct_0 @ SV21 ) )
= $false )
| ( ( m1_subset_1 @ SV163 @ ( u1_struct_0 @ SV21 ) )
= $false )
| ( ( m1_subset_1 @ SV120 @ ( u1_struct_0 @ SV21 ) )
= $false )
| ( ( v4_group_1 @ SV21 )
= $false )
| ( ( v3_struct_0 @ SV21 )
= $true )
| ( ( v3_group_1 @ SV21 )
= $false )
| ( ( l1_group_1 @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7727]) ).
thf(7766,plain,
! [SV26: $i,SV123: $i] :
( ( ( v3_group_1 @ SV123 )
= $false )
| ( ( v3_struct_0 @ SV123 )
= $true )
| ( ( ~ ( v4_group_1 @ SV123 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV123 ) )
= $true )
| ( ( ! [SY403: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY403 )
| ~ ( v3_group_1 @ SY403 ) )
| ~ ( v4_group_1 @ SY403 ) )
| ~ ( l1_group_1 @ SY403 ) )
| ~ ~ ( ~ ( m1_group_2 @ SV26 @ SV123 )
| ~ ( m1_group_2 @ SV123 @ SY403 ) )
| ( m1_group_2 @ SV26 @ SY403 ) ) )
= $true )
| ( ( v4_group_1 @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( v3_group_1 @ SV26 )
= $false )
| ( ( l1_group_1 @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7729]) ).
thf(7767,plain,
! [SV28: $i,SV193: $i] :
( ( ( m1_subset_1 @ SV193 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ ( sK23_SY268 @ SV28 ) @ SV193 )
!= ( sK28_SY430 @ SV28 ) )
= $true )
| ( ( ~ ~ ! [SY442: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY442 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY442 @ ( sK23_SY268 @ SV28 ) )
!= ( sK28_SY430 @ SV28 ) ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK16_SY265 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7730]) ).
thf(7768,plain,
! [SV28: $i,SV194: $i] :
( ( ( ~ ( m1_subset_1 @ SV194 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ ( sK29_SY268 @ SV28 ) @ SV194 )
!= ( sK33_SY443 @ SV28 ) ) )
= $true )
| ( ( ~ ~ ! [SY459: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY459 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY459 @ ( sK29_SY268 @ SV28 ) )
!= ( sK33_SY443 @ SV28 ) ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK21_SY377 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7731]) ).
thf(7769,plain,
! [SV28: $i,SV196: $i] :
( ( ( ~ ~ ( ~ ( m1_subset_1 @ SV196 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ ( sK34_SY268 @ SV28 ) @ SV196 )
!= ( sK38_SY460 @ SV28 ) ) ) )
= $true )
| ( ( ~ ~ ! [SY468: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY468 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY468 @ ( sK34_SY268 @ SV28 ) )
!= ( sK38_SY460 @ SV28 ) ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK24_SY389 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7734]) ).
thf(7770,plain,
! [SV28: $i,SV195: $i] :
( ( ( ~ ( ~ ( m1_subset_1 @ SV195 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ ( sK31_SY268 @ SV28 ) @ SV195 )
!= ( sK36_SY454 @ SV28 ) ) ) )
= $false )
| ( ( ~ ~ ! [SY465: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY465 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY465 @ ( sK31_SY268 @ SV28 ) )
!= ( sK36_SY454 @ SV28 ) ) ) )
= $true )
| ( ( ( k1_group_1 @ SV28 @ ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( sK21_SY377 @ SV28 ) ) @ ( sK24_SY389 @ SV28 ) )
= ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( k1_group_1 @ SV28 @ ( sK21_SY377 @ SV28 ) @ ( sK24_SY389 @ SV28 ) ) ) )
= $false )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7735]) ).
thf(7771,plain,
! [SV35: $i,SV83: $i] :
( ( ( ~ ( v3_struct_0 @ SV83 ) )
= $false )
| ( ( v4_group_1 @ SV35 )
= $false )
| ( ( v3_struct_0 @ SV35 )
= $true )
| ( ( v3_group_1 @ SV35 )
= $false )
| ( ( l1_group_1 @ SV35 )
= $false )
| ( ( ~ ( v3_group_1 @ SV83 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV83 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV83 ) )
= $true )
| ( ( r1_group_6 @ SV35 @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7736]) ).
thf(7772,plain,
! [SV189: $i,SV168: $i,SV128: $i,SV36: $i] :
( ( ( ( k1_group_1 @ SV36 @ SV128 @ SV168 )
= SV189 )
= $false )
| ( ( SV128
= ( k1_group_1 @ SV36 @ SV189 @ ( k3_group_1 @ SV36 @ SV168 ) ) )
= $true )
| ( ( m1_subset_1 @ SV189 @ ( u1_struct_0 @ SV36 ) )
= $false )
| ( ( m1_subset_1 @ SV168 @ ( u1_struct_0 @ SV36 ) )
= $false )
| ( ( m1_subset_1 @ SV128 @ ( u1_struct_0 @ SV36 ) )
= $false )
| ( ( v4_group_1 @ SV36 )
= $false )
| ( ( v3_struct_0 @ SV36 )
= $true )
| ( ( v3_group_1 @ SV36 )
= $false )
| ( ( l1_group_1 @ SV36 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7737]) ).
thf(7773,plain,
! [SV168: $i,SV189: $i,SV36: $i,SV128: $i] :
( ( ( SV128
= ( k1_group_1 @ SV36 @ SV189 @ ( k3_group_1 @ SV36 @ SV168 ) ) )
= $false )
| ( ( ( k1_group_1 @ SV36 @ SV128 @ SV168 )
= SV189 )
= $true )
| ( ( m1_subset_1 @ SV189 @ ( u1_struct_0 @ SV36 ) )
= $false )
| ( ( m1_subset_1 @ SV168 @ ( u1_struct_0 @ SV36 ) )
= $false )
| ( ( m1_subset_1 @ SV128 @ ( u1_struct_0 @ SV36 ) )
= $false )
| ( ( v4_group_1 @ SV36 )
= $false )
| ( ( v3_struct_0 @ SV36 )
= $true )
| ( ( v3_group_1 @ SV36 )
= $false )
| ( ( l1_group_1 @ SV36 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7738]) ).
thf(7774,plain,
! [SV98: $i,SV84: $i,SV47: $i,SV95: $i] :
( ( ( m1_subset_1 @ SV95 @ ( u1_struct_0 @ SV47 ) )
= $false )
| ( ( l1_group_1 @ SV47 )
= $false )
| ( ( v3_group_1 @ SV47 )
= $false )
| ( ( v3_struct_0 @ SV47 )
= $true )
| ( ( v4_group_1 @ SV47 )
= $false )
| ( ( m1_subset_1 @ SV84 @ ( u1_struct_0 @ SV47 ) )
= $false )
| ( ( ~ ( m1_subset_1 @ SV98 @ ( u1_struct_0 @ SV47 ) ) )
= $true )
| ( ( m1_subset_1 @ ( k3_group_5 @ SV47 @ SV84 @ SV95 @ SV98 ) @ ( u1_struct_0 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7739]) ).
thf(7775,plain,
! [SV48: $i,SV134: $i] :
( ( ( v3_group_1 @ SV134 )
= $false )
| ( ( v3_struct_0 @ SV134 )
= $true )
| ( ( ~ ( v4_group_1 @ SV134 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV134 ) )
= $true )
| ( ( ! [SY414: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY414 )
| ~ ( v3_group_1 @ SY414 ) )
| ~ ( v4_group_1 @ SY414 ) )
| ~ ( l1_group_1 @ SY414 ) )
| ~ ~ ( ~ ( r1_group_6 @ SV48 @ SV134 )
| ~ ( r1_group_6 @ SV134 @ SY414 ) )
| ( r1_group_6 @ SV48 @ SY414 ) ) )
= $true )
| ( ( v4_group_1 @ SV48 )
= $false )
| ( ( v3_struct_0 @ SV48 )
= $true )
| ( ( v3_group_1 @ SV48 )
= $false )
| ( ( l1_group_1 @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7740]) ).
thf(7776,plain,
! [SV52: $i,SV184: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV184 )
| ~ ( v1_group_1 @ SV184 ) )
| ~ ( v3_group_1 @ SV184 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV184 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV184 ) )
= $true )
| ( ( ~ ( r1_group_6 @ SV52 @ SV184 )
| ( r1_group_6 @ SV184 @ SV52 ) )
= $true )
| ( ( v4_group_1 @ SV52 )
= $false )
| ( ( v1_group_1 @ SV52 )
= $false )
| ( ( v3_struct_0 @ SV52 )
= $true )
| ( ( v3_group_1 @ SV52 )
= $false )
| ( ( l1_group_1 @ SV52 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7741]) ).
thf(7777,plain,
! [SV177: $i,SV141: $i,SV60: $i] :
( ( ( ( k1_group_1 @ SV60 @ SV141 @ SV177 )
= ( k2_group_1 @ SV60 ) )
= $true )
| ( ( SV177
= ( k3_group_1 @ SV60 @ SV141 ) )
= $false )
| ( ( m1_subset_1 @ SV177 @ ( u1_struct_0 @ SV60 ) )
= $false )
| ( ( m1_subset_1 @ SV141 @ ( u1_struct_0 @ SV60 ) )
= $false )
| ( ( v4_group_1 @ SV60 )
= $false )
| ( ( v3_struct_0 @ SV60 )
= $true )
| ( ( v3_group_1 @ SV60 )
= $false )
| ( ( l1_group_1 @ SV60 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7742]) ).
thf(7778,plain,
! [SV141: $i,SV177: $i,SV60: $i] :
( ( ( ( k1_group_1 @ SV60 @ SV177 @ SV141 )
= ( k2_group_1 @ SV60 ) )
= $true )
| ( ( SV177
= ( k3_group_1 @ SV60 @ SV141 ) )
= $false )
| ( ( m1_subset_1 @ SV177 @ ( u1_struct_0 @ SV60 ) )
= $false )
| ( ( m1_subset_1 @ SV141 @ ( u1_struct_0 @ SV60 ) )
= $false )
| ( ( v4_group_1 @ SV60 )
= $false )
| ( ( v3_struct_0 @ SV60 )
= $true )
| ( ( v3_group_1 @ SV60 )
= $false )
| ( ( l1_group_1 @ SV60 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7743]) ).
thf(7779,plain,
! [SV177: $i,SV141: $i,SV60: $i] :
( ( ( ( k1_group_1 @ SV60 @ SV141 @ SV177 )
= ( k2_group_1 @ SV60 ) )
= $false )
| ( ( ( k1_group_1 @ SV60 @ SV177 @ SV141 )
!= ( k2_group_1 @ SV60 ) )
= $true )
| ( ( SV177
= ( k3_group_1 @ SV60 @ SV141 ) )
= $true )
| ( ( m1_subset_1 @ SV177 @ ( u1_struct_0 @ SV60 ) )
= $false )
| ( ( m1_subset_1 @ SV141 @ ( u1_struct_0 @ SV60 ) )
= $false )
| ( ( v4_group_1 @ SV60 )
= $false )
| ( ( v3_struct_0 @ SV60 )
= $true )
| ( ( v3_group_1 @ SV60 )
= $false )
| ( ( l1_group_1 @ SV60 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7744]) ).
thf(7780,plain,
! [SV87: $i,SV61: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV61 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV61 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV61 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV61 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV61 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV87 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( r2_group_6 @ SV61 @ SV87 )
| ( r2_group_6 @ SV87 @ SV61 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7745]) ).
thf(7781,plain,
! [SV107: $i,SV70: $i] :
( ( ( ~ ( v3_struct_0 @ SV70 ) )
= $true )
| ( ( m1_subset_1 @ SV107 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ ( sK27_SY387 @ SV107 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( m1_subset_1 @ ( sK14_SY342 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7746]) ).
thf(7782,plain,
! [SV107: $i,SV70: $i] :
( ( ( v3_group_1 @ SV70 )
= $true )
| ( ( m1_subset_1 @ SV107 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ ( sK27_SY387 @ SV107 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( m1_subset_1 @ ( sK14_SY342 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7747]) ).
thf(7783,plain,
! [SV107: $i,SV70: $i,SV197: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SV197 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SV197 )
!= SV107 ) )
| ( ( k1_group_1 @ SV70 @ SV197 @ ( sK27_SY387 @ SV107 @ SV70 ) )
!= SV107 ) ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SV107 )
= ( sK27_SY387 @ SV107 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV107 @ ( sK27_SY387 @ SV107 @ SV70 ) )
= ( sK27_SY387 @ SV107 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV107 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK14_SY342 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7748]) ).
thf(7784,plain,
! [SV146: $i,SV70: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV146 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ ( sK32_SY423 @ SV146 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( m1_subset_1 @ ( sK15_SY372 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7749]) ).
thf(7785,plain,
! [SV146: $i,SV70: $i] :
( ( ( ~ ! [SY457: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY457 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SY457 )
!= SV146 ) )
| ( ( k1_group_1 @ SV70 @ SY457 @ ( sK32_SY423 @ SV146 @ SV70 ) )
!= SV146 ) ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SV146 )
= ( sK32_SY423 @ SV146 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV146 @ ( sK32_SY423 @ SV146 @ SV70 ) )
= ( sK32_SY423 @ SV146 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV146 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK15_SY372 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7751]) ).
thf(7786,plain,
! [SV153: $i,SV70: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) ) )
= $false )
| ( ( m1_subset_1 @ SV153 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ ( sK37_SY436 @ SV153 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( m1_subset_1 @ ( sK20_SY376 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7752]) ).
thf(7787,plain,
! [SV153: $i,SV70: $i] :
( ( ( ~ ( v4_group_1 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV153 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ ( sK37_SY436 @ SV153 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( m1_subset_1 @ ( sK20_SY376 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7752]) ).
thf(7788,plain,
! [SV153: $i,SV70: $i] :
( ( ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SV153 )
= ( sK37_SY436 @ SV153 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV153 @ ( sK37_SY436 @ SV153 @ SV70 ) )
!= ( sK37_SY436 @ SV153 @ SV70 ) )
= $true )
| ( ( ~ ~ ! [SY466: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY466 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SY466 )
!= SV153 ) )
| ( ( k1_group_1 @ SV70 @ SY466 @ ( sK37_SY436 @ SV153 @ SV70 ) )
!= SV153 ) ) )
= $true )
| ( ( m1_subset_1 @ SV153 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK20_SY376 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7753]) ).
thf(7789,plain,
! [SV152: $i,SV70: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ ( sK35_SY433 @ SV152 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( sK15_SY372 @ SV70 ) ) @ ( sK20_SY376 @ SV70 ) )
= ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( k1_group_1 @ SV70 @ ( sK15_SY372 @ SV70 ) @ ( sK20_SY376 @ SV70 ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7754]) ).
thf(7790,plain,
! [SV152: $i,SV70: $i] :
( ( ( v4_group_1 @ SV70 )
= $true )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ ( sK35_SY433 @ SV152 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( sK15_SY372 @ SV70 ) ) @ ( sK20_SY376 @ SV70 ) )
= ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( k1_group_1 @ SV70 @ ( sK15_SY372 @ SV70 ) @ ( sK20_SY376 @ SV70 ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7755]) ).
thf(7791,plain,
! [SV152: $i,SV70: $i] :
( ( ( ( k1_group_1 @ SV70 @ SV152 @ ( sK35_SY433 @ SV152 @ SV70 ) )
= ( sK35_SY433 @ SV152 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SV152 )
= ( sK35_SY433 @ SV152 @ SV70 ) )
= $false )
| ( ( ~ ~ ! [SY463: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY463 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SY463 )
!= SV152 ) )
| ( ( k1_group_1 @ SV70 @ SY463 @ ( sK35_SY433 @ SV152 @ SV70 ) )
!= SV152 ) ) )
= $true )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( sK15_SY372 @ SV70 ) ) @ ( sK20_SY376 @ SV70 ) )
= ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( k1_group_1 @ SV70 @ ( sK15_SY372 @ SV70 ) @ ( sK20_SY376 @ SV70 ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7756]) ).
thf(7792,plain,
! [SV179: $i,SV147: $i,SV71: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV147 @ SV179 ) @ ( k3_group_1 @ SV71 @ SV179 ) )
!= SV147 )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV147 @ ( k3_group_1 @ SV71 @ SV179 ) ) @ SV179 )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SV179 ) @ SV179 ) @ SV147 )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV179 @ ( k3_group_1 @ SV71 @ SV179 ) ) @ SV147 )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ SV147 @ ( k1_group_1 @ SV71 @ SV179 @ ( k3_group_1 @ SV71 @ SV179 ) ) )
!= SV147 ) ) )
= $false )
| ( ( m1_subset_1 @ SV179 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( m1_subset_1 @ SV147 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( v4_group_1 @ SV71 )
= $false )
| ( ( v3_struct_0 @ SV71 )
= $true )
| ( ( v3_group_1 @ SV71 )
= $false )
| ( ( l1_group_1 @ SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7757]) ).
thf(7793,plain,
! [SV179: $i,SV147: $i,SV71: $i] :
( ( ( ( k1_group_1 @ SV71 @ SV147 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SV179 ) @ SV179 ) )
!= SV147 )
= $false )
| ( ( m1_subset_1 @ SV179 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( m1_subset_1 @ SV147 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( v4_group_1 @ SV71 )
= $false )
| ( ( v3_struct_0 @ SV71 )
= $true )
| ( ( v3_group_1 @ SV71 )
= $false )
| ( ( l1_group_1 @ SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7757]) ).
thf(7794,plain,
! [SV91: $i,SV72: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV72 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV72 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV72 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV72 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV72 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV91 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV91 ) )
= $true )
| ( ( r2_group_6 @ SV72 @ SV72 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[7758]) ).
thf(7795,plain,
! [SV191: $i,SV180: $i,SV149: $i,SV74: $i] :
( ( ( ( k1_group_1 @ SV74 @ SV149 @ SV180 )
= SV191 )
= $false )
| ( ( SV180
= ( k1_group_1 @ SV74 @ ( k3_group_1 @ SV74 @ SV149 ) @ SV191 ) )
= $true )
| ( ( m1_subset_1 @ SV191 @ ( u1_struct_0 @ SV74 ) )
= $false )
| ( ( m1_subset_1 @ SV180 @ ( u1_struct_0 @ SV74 ) )
= $false )
| ( ( m1_subset_1 @ SV149 @ ( u1_struct_0 @ SV74 ) )
= $false )
| ( ( v4_group_1 @ SV74 )
= $false )
| ( ( v3_struct_0 @ SV74 )
= $true )
| ( ( v3_group_1 @ SV74 )
= $false )
| ( ( l1_group_1 @ SV74 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7759]) ).
thf(7796,plain,
! [SV191: $i,SV149: $i,SV74: $i,SV180: $i] :
( ( ( SV180
= ( k1_group_1 @ SV74 @ ( k3_group_1 @ SV74 @ SV149 ) @ SV191 ) )
= $false )
| ( ( ( k1_group_1 @ SV74 @ SV149 @ SV180 )
= SV191 )
= $true )
| ( ( m1_subset_1 @ SV191 @ ( u1_struct_0 @ SV74 ) )
= $false )
| ( ( m1_subset_1 @ SV180 @ ( u1_struct_0 @ SV74 ) )
= $false )
| ( ( m1_subset_1 @ SV149 @ ( u1_struct_0 @ SV74 ) )
= $false )
| ( ( v4_group_1 @ SV74 )
= $false )
| ( ( v3_struct_0 @ SV74 )
= $true )
| ( ( v3_group_1 @ SV74 )
= $false )
| ( ( l1_group_1 @ SV74 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7760]) ).
thf(7797,plain,
! [SV11: $i] :
( ( ( ~ ~ ( v3_struct_0 @ ( k3_autgroup @ SV11 ) ) )
= $false )
| ( ( v4_group_1 @ SV11 )
= $false )
| ( ( v1_group_1 @ SV11 )
= $false )
| ( ( v3_struct_0 @ SV11 )
= $true )
| ( ( v3_group_1 @ SV11 )
= $false )
| ( ( l1_group_1 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7761]) ).
thf(7798,plain,
! [SV11: $i] :
( ( ( ~ ( v1_group_1 @ ( k3_autgroup @ SV11 ) ) )
= $false )
| ( ( v4_group_1 @ SV11 )
= $false )
| ( ( v1_group_1 @ SV11 )
= $false )
| ( ( v3_struct_0 @ SV11 )
= $true )
| ( ( v3_group_1 @ SV11 )
= $false )
| ( ( l1_group_1 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7761]) ).
thf(7799,plain,
! [SV16: $i,SV161: $i] :
( ( ( ~ ( ~ ( m1_subset_1 @ ( sK41_SY439 @ SV161 @ SV16 ) @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ SV161 @ ( sK41_SY439 @ SV161 @ SV16 ) )
!= ( sK19_SY243 @ SV16 ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV161 @ ( u1_struct_0 @ SV16 ) )
= $false )
| ( ( v3_group_1 @ SV16 )
= $false )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7762]) ).
thf(7800,plain,
! [SV161: $i,SV16: $i] :
( ( ( ( k1_group_1 @ SV16 @ ( sK41_SY439 @ SV161 @ SV16 ) @ SV161 )
= ( sK19_SY243 @ SV16 ) )
= $true )
| ( ( m1_subset_1 @ SV161 @ ( u1_struct_0 @ SV16 ) )
= $false )
| ( ( v3_group_1 @ SV16 )
= $false )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7763]) ).
thf(7801,plain,
! [SV106: $i,SV16: $i] :
( ( ( ! [SY453: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY453 @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ ( sK30_SY385 @ SV106 @ SV16 ) @ SY453 )
!= SV106 ) )
| ( ( k1_group_1 @ SV16 @ SY453 @ ( sK30_SY385 @ SV106 @ SV16 ) )
!= SV106 ) ) )
= $true )
| ( ( ( k1_group_1 @ SV16 @ ( sK30_SY385 @ SV106 @ SV16 ) @ SV106 )
= ( sK30_SY385 @ SV106 @ SV16 ) )
= $false )
| ( ( ( k1_group_1 @ SV16 @ SV106 @ ( sK30_SY385 @ SV106 @ SV16 ) )
= ( sK30_SY385 @ SV106 @ SV16 ) )
= $false )
| ( ( m1_subset_1 @ SV106 @ ( u1_struct_0 @ SV16 ) )
= $false )
| ( ( v3_group_1 @ SV16 )
= $true )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7764]) ).
thf(7802,plain,
! [SV120: $i,SV187: $i,SV163: $i,SV21: $i] :
( ( ( r2_group_3 @ SV21 @ SV163 @ SV187 )
= $false )
| ( ( r2_group_3 @ SV21 @ SV120 @ SV163 )
= $false )
| ( ( r2_group_3 @ SV21 @ SV120 @ SV187 )
= $true )
| ( ( m1_subset_1 @ SV187 @ ( u1_struct_0 @ SV21 ) )
= $false )
| ( ( m1_subset_1 @ SV163 @ ( u1_struct_0 @ SV21 ) )
= $false )
| ( ( m1_subset_1 @ SV120 @ ( u1_struct_0 @ SV21 ) )
= $false )
| ( ( v4_group_1 @ SV21 )
= $false )
| ( ( v3_struct_0 @ SV21 )
= $true )
| ( ( v3_group_1 @ SV21 )
= $false )
| ( ( l1_group_1 @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7765]) ).
thf(7803,plain,
! [SV26: $i,SV123: $i] :
( ( ( v4_group_1 @ SV123 )
= $false )
| ( ( v3_struct_0 @ SV123 )
= $true )
| ( ( v3_group_1 @ SV123 )
= $false )
| ( ( ~ ( l1_group_1 @ SV123 ) )
= $true )
| ( ( ! [SY403: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY403 )
| ~ ( v3_group_1 @ SY403 ) )
| ~ ( v4_group_1 @ SY403 ) )
| ~ ( l1_group_1 @ SY403 ) )
| ~ ~ ( ~ ( m1_group_2 @ SV26 @ SV123 )
| ~ ( m1_group_2 @ SV123 @ SY403 ) )
| ( m1_group_2 @ SV26 @ SY403 ) ) )
= $true )
| ( ( v4_group_1 @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( v3_group_1 @ SV26 )
= $false )
| ( ( l1_group_1 @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7766]) ).
thf(7804,plain,
! [SV193: $i,SV28: $i] :
( ( ( ( k1_group_1 @ SV28 @ ( sK23_SY268 @ SV28 ) @ SV193 )
= ( sK28_SY430 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ SV193 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( ~ ~ ! [SY442: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY442 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY442 @ ( sK23_SY268 @ SV28 ) )
!= ( sK28_SY430 @ SV28 ) ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK16_SY265 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7767]) ).
thf(7805,plain,
! [SV28: $i,SV194: $i] :
( ( ( ~ ( m1_subset_1 @ SV194 @ ( u1_struct_0 @ SV28 ) ) )
= $true )
| ( ( ( k1_group_1 @ SV28 @ ( sK29_SY268 @ SV28 ) @ SV194 )
!= ( sK33_SY443 @ SV28 ) )
= $true )
| ( ( ~ ~ ! [SY459: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY459 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY459 @ ( sK29_SY268 @ SV28 ) )
!= ( sK33_SY443 @ SV28 ) ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK21_SY377 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7768]) ).
thf(7806,plain,
! [SV28: $i,SV196: $i] :
( ( ( ~ ( ~ ( m1_subset_1 @ SV196 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ ( sK34_SY268 @ SV28 ) @ SV196 )
!= ( sK38_SY460 @ SV28 ) ) ) )
= $false )
| ( ( ~ ~ ! [SY468: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY468 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY468 @ ( sK34_SY268 @ SV28 ) )
!= ( sK38_SY460 @ SV28 ) ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK24_SY389 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7769]) ).
thf(7807,plain,
! [SV28: $i,SV195: $i] :
( ( ( ~ ( m1_subset_1 @ SV195 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ ( sK31_SY268 @ SV28 ) @ SV195 )
!= ( sK36_SY454 @ SV28 ) ) )
= $true )
| ( ( ~ ~ ! [SY465: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY465 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY465 @ ( sK31_SY268 @ SV28 ) )
!= ( sK36_SY454 @ SV28 ) ) ) )
= $true )
| ( ( ( k1_group_1 @ SV28 @ ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( sK21_SY377 @ SV28 ) ) @ ( sK24_SY389 @ SV28 ) )
= ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( k1_group_1 @ SV28 @ ( sK21_SY377 @ SV28 ) @ ( sK24_SY389 @ SV28 ) ) ) )
= $false )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7770]) ).
thf(7808,plain,
! [SV35: $i,SV83: $i] :
( ( ( v3_struct_0 @ SV83 )
= $true )
| ( ( v4_group_1 @ SV35 )
= $false )
| ( ( v3_struct_0 @ SV35 )
= $true )
| ( ( v3_group_1 @ SV35 )
= $false )
| ( ( l1_group_1 @ SV35 )
= $false )
| ( ( ~ ( v3_group_1 @ SV83 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV83 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV83 ) )
= $true )
| ( ( r1_group_6 @ SV35 @ SV35 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7771]) ).
thf(7809,plain,
! [SV95: $i,SV84: $i,SV47: $i,SV98: $i] :
( ( ( m1_subset_1 @ SV98 @ ( u1_struct_0 @ SV47 ) )
= $false )
| ( ( m1_subset_1 @ SV84 @ ( u1_struct_0 @ SV47 ) )
= $false )
| ( ( v4_group_1 @ SV47 )
= $false )
| ( ( v3_struct_0 @ SV47 )
= $true )
| ( ( v3_group_1 @ SV47 )
= $false )
| ( ( l1_group_1 @ SV47 )
= $false )
| ( ( m1_subset_1 @ SV95 @ ( u1_struct_0 @ SV47 ) )
= $false )
| ( ( m1_subset_1 @ ( k3_group_5 @ SV47 @ SV84 @ SV95 @ SV98 ) @ ( u1_struct_0 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7774]) ).
thf(7810,plain,
! [SV48: $i,SV134: $i] :
( ( ( v4_group_1 @ SV134 )
= $false )
| ( ( v3_struct_0 @ SV134 )
= $true )
| ( ( v3_group_1 @ SV134 )
= $false )
| ( ( ~ ( l1_group_1 @ SV134 ) )
= $true )
| ( ( ! [SY414: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY414 )
| ~ ( v3_group_1 @ SY414 ) )
| ~ ( v4_group_1 @ SY414 ) )
| ~ ( l1_group_1 @ SY414 ) )
| ~ ~ ( ~ ( r1_group_6 @ SV48 @ SV134 )
| ~ ( r1_group_6 @ SV134 @ SY414 ) )
| ( r1_group_6 @ SV48 @ SY414 ) ) )
= $true )
| ( ( v4_group_1 @ SV48 )
= $false )
| ( ( v3_struct_0 @ SV48 )
= $true )
| ( ( v3_group_1 @ SV48 )
= $false )
| ( ( l1_group_1 @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7775]) ).
thf(7811,plain,
! [SV52: $i,SV184: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV184 )
| ~ ( v1_group_1 @ SV184 ) ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV184 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV184 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV184 ) )
= $true )
| ( ( ~ ( r1_group_6 @ SV52 @ SV184 )
| ( r1_group_6 @ SV184 @ SV52 ) )
= $true )
| ( ( v4_group_1 @ SV52 )
= $false )
| ( ( v1_group_1 @ SV52 )
= $false )
| ( ( v3_struct_0 @ SV52 )
= $true )
| ( ( v3_group_1 @ SV52 )
= $false )
| ( ( l1_group_1 @ SV52 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7776]) ).
thf(7812,plain,
! [SV141: $i,SV177: $i,SV60: $i] :
( ( ( ( k1_group_1 @ SV60 @ SV177 @ SV141 )
= ( k2_group_1 @ SV60 ) )
= $false )
| ( ( ( k1_group_1 @ SV60 @ SV141 @ SV177 )
= ( k2_group_1 @ SV60 ) )
= $false )
| ( ( SV177
= ( k3_group_1 @ SV60 @ SV141 ) )
= $true )
| ( ( m1_subset_1 @ SV177 @ ( u1_struct_0 @ SV60 ) )
= $false )
| ( ( m1_subset_1 @ SV141 @ ( u1_struct_0 @ SV60 ) )
= $false )
| ( ( v4_group_1 @ SV60 )
= $false )
| ( ( v3_struct_0 @ SV60 )
= $true )
| ( ( v3_group_1 @ SV60 )
= $false )
| ( ( l1_group_1 @ SV60 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7779]) ).
thf(7813,plain,
! [SV87: $i,SV61: $i] :
( ( ( ~ ( v3_struct_0 @ SV61 ) )
= $false )
| ( ( ~ ( v1_group_1 @ SV61 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV61 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV61 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV61 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV87 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( r2_group_6 @ SV61 @ SV87 )
| ( r2_group_6 @ SV87 @ SV61 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7780]) ).
thf(7814,plain,
! [SV107: $i,SV70: $i] :
( ( ( v3_struct_0 @ SV70 )
= $false )
| ( ( m1_subset_1 @ SV107 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ ( sK27_SY387 @ SV107 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( m1_subset_1 @ ( sK14_SY342 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7781]) ).
thf(7815,plain,
! [SV107: $i,SV70: $i,SV197: $i] :
( ( ( ~ ( ~ ~ ( ~ ( m1_subset_1 @ SV197 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SV197 )
!= SV107 ) )
| ( ( k1_group_1 @ SV70 @ SV197 @ ( sK27_SY387 @ SV107 @ SV70 ) )
!= SV107 ) ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SV107 )
= ( sK27_SY387 @ SV107 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV107 @ ( sK27_SY387 @ SV107 @ SV70 ) )
= ( sK27_SY387 @ SV107 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV107 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK14_SY342 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7783]) ).
thf(7816,plain,
! [SV146: $i,SV70: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV146 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ ( sK32_SY423 @ SV146 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( m1_subset_1 @ ( sK15_SY372 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7784]) ).
thf(7817,plain,
! [SV146: $i,SV70: $i] :
( ( ( ~ ( v3_group_1 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV146 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ ( sK32_SY423 @ SV146 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( m1_subset_1 @ ( sK15_SY372 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7784]) ).
thf(7818,plain,
! [SV146: $i,SV70: $i] :
( ( ( ! [SY457: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY457 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SY457 )
!= SV146 ) )
| ( ( k1_group_1 @ SV70 @ SY457 @ ( sK32_SY423 @ SV146 @ SV70 ) )
!= SV146 ) ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SV146 )
= ( sK32_SY423 @ SV146 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV146 @ ( sK32_SY423 @ SV146 @ SV70 ) )
= ( sK32_SY423 @ SV146 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV146 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK15_SY372 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7785]) ).
thf(7819,plain,
! [SV153: $i,SV70: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ SV153 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ ( sK37_SY436 @ SV153 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( m1_subset_1 @ ( sK20_SY376 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7786]) ).
thf(7820,plain,
! [SV153: $i,SV70: $i] :
( ( ( v4_group_1 @ SV70 )
= $true )
| ( ( m1_subset_1 @ SV153 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ ( sK37_SY436 @ SV153 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( m1_subset_1 @ ( sK20_SY376 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7787]) ).
thf(7821,plain,
! [SV153: $i,SV70: $i] :
( ( ( ( k1_group_1 @ SV70 @ SV153 @ ( sK37_SY436 @ SV153 @ SV70 ) )
= ( sK37_SY436 @ SV153 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SV153 )
= ( sK37_SY436 @ SV153 @ SV70 ) )
= $false )
| ( ( ~ ~ ! [SY466: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY466 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SY466 )
!= SV153 ) )
| ( ( k1_group_1 @ SV70 @ SY466 @ ( sK37_SY436 @ SV153 @ SV70 ) )
!= SV153 ) ) )
= $true )
| ( ( m1_subset_1 @ SV153 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK20_SY376 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7788]) ).
thf(7822,plain,
! [SV152: $i,SV70: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ ( sK35_SY433 @ SV152 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( sK15_SY372 @ SV70 ) ) @ ( sK20_SY376 @ SV70 ) )
= ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( k1_group_1 @ SV70 @ ( sK15_SY372 @ SV70 ) @ ( sK20_SY376 @ SV70 ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7789]) ).
thf(7823,plain,
! [SV152: $i,SV70: $i] :
( ( ( ~ ! [SY463: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY463 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SY463 )
!= SV152 ) )
| ( ( k1_group_1 @ SV70 @ SY463 @ ( sK35_SY433 @ SV152 @ SV70 ) )
!= SV152 ) ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SV152 )
= ( sK35_SY433 @ SV152 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV152 @ ( sK35_SY433 @ SV152 @ SV70 ) )
= ( sK35_SY433 @ SV152 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( sK15_SY372 @ SV70 ) ) @ ( sK20_SY376 @ SV70 ) )
= ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( k1_group_1 @ SV70 @ ( sK15_SY372 @ SV70 ) @ ( sK20_SY376 @ SV70 ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7791]) ).
thf(7824,plain,
! [SV179: $i,SV147: $i,SV71: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV147 @ SV179 ) @ ( k3_group_1 @ SV71 @ SV179 ) )
!= SV147 )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV147 @ ( k3_group_1 @ SV71 @ SV179 ) ) @ SV179 )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SV179 ) @ SV179 ) @ SV147 )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV179 @ ( k3_group_1 @ SV71 @ SV179 ) ) @ SV147 )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ SV147 @ ( k1_group_1 @ SV71 @ SV179 @ ( k3_group_1 @ SV71 @ SV179 ) ) )
!= SV147 ) ) )
= $true )
| ( ( m1_subset_1 @ SV179 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( m1_subset_1 @ SV147 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( v4_group_1 @ SV71 )
= $false )
| ( ( v3_struct_0 @ SV71 )
= $true )
| ( ( v3_group_1 @ SV71 )
= $false )
| ( ( l1_group_1 @ SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7792]) ).
thf(7825,plain,
! [SV179: $i,SV147: $i,SV71: $i] :
( ( ( ( k1_group_1 @ SV71 @ SV147 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SV179 ) @ SV179 ) )
= SV147 )
= $true )
| ( ( m1_subset_1 @ SV179 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( m1_subset_1 @ SV147 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( v4_group_1 @ SV71 )
= $false )
| ( ( v3_struct_0 @ SV71 )
= $true )
| ( ( v3_group_1 @ SV71 )
= $false )
| ( ( l1_group_1 @ SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7793]) ).
thf(7826,plain,
! [SV91: $i,SV72: $i] :
( ( ( ~ ( v3_struct_0 @ SV72 ) )
= $false )
| ( ( ~ ( v1_group_1 @ SV72 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV72 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV72 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV72 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV91 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV91 ) )
= $true )
| ( ( r2_group_6 @ SV72 @ SV72 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7794]) ).
thf(7827,plain,
! [SV11: $i] :
( ( ( ~ ( v3_struct_0 @ ( k3_autgroup @ SV11 ) ) )
= $true )
| ( ( v4_group_1 @ SV11 )
= $false )
| ( ( v1_group_1 @ SV11 )
= $false )
| ( ( v3_struct_0 @ SV11 )
= $true )
| ( ( v3_group_1 @ SV11 )
= $false )
| ( ( l1_group_1 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7797]) ).
thf(7828,plain,
! [SV11: $i] :
( ( ( v1_group_1 @ ( k3_autgroup @ SV11 ) )
= $true )
| ( ( v4_group_1 @ SV11 )
= $false )
| ( ( v1_group_1 @ SV11 )
= $false )
| ( ( v3_struct_0 @ SV11 )
= $true )
| ( ( v3_group_1 @ SV11 )
= $false )
| ( ( l1_group_1 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7798]) ).
thf(7829,plain,
! [SV16: $i,SV161: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK41_SY439 @ SV161 @ SV16 ) @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ SV161 @ ( sK41_SY439 @ SV161 @ SV16 ) )
!= ( sK19_SY243 @ SV16 ) ) )
= $false )
| ( ( m1_subset_1 @ SV161 @ ( u1_struct_0 @ SV16 ) )
= $false )
| ( ( v3_group_1 @ SV16 )
= $false )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7799]) ).
thf(7830,plain,
! [SV106: $i,SV16: $i,SV198: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SV198 @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ ( sK30_SY385 @ SV106 @ SV16 ) @ SV198 )
!= SV106 ) )
| ( ( k1_group_1 @ SV16 @ SV198 @ ( sK30_SY385 @ SV106 @ SV16 ) )
!= SV106 ) ) )
= $true )
| ( ( ( k1_group_1 @ SV16 @ ( sK30_SY385 @ SV106 @ SV16 ) @ SV106 )
= ( sK30_SY385 @ SV106 @ SV16 ) )
= $false )
| ( ( ( k1_group_1 @ SV16 @ SV106 @ ( sK30_SY385 @ SV106 @ SV16 ) )
= ( sK30_SY385 @ SV106 @ SV16 ) )
= $false )
| ( ( m1_subset_1 @ SV106 @ ( u1_struct_0 @ SV16 ) )
= $false )
| ( ( v3_group_1 @ SV16 )
= $true )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7801]) ).
thf(7831,plain,
! [SV26: $i,SV123: $i] :
( ( ( l1_group_1 @ SV123 )
= $false )
| ( ( v3_group_1 @ SV123 )
= $false )
| ( ( v3_struct_0 @ SV123 )
= $true )
| ( ( v4_group_1 @ SV123 )
= $false )
| ( ( ! [SY403: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY403 )
| ~ ( v3_group_1 @ SY403 ) )
| ~ ( v4_group_1 @ SY403 ) )
| ~ ( l1_group_1 @ SY403 ) )
| ~ ~ ( ~ ( m1_group_2 @ SV26 @ SV123 )
| ~ ( m1_group_2 @ SV123 @ SY403 ) )
| ( m1_group_2 @ SV26 @ SY403 ) ) )
= $true )
| ( ( v4_group_1 @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( v3_group_1 @ SV26 )
= $false )
| ( ( l1_group_1 @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7803]) ).
thf(7832,plain,
! [SV193: $i,SV28: $i] :
( ( ( ~ ! [SY442: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY442 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY442 @ ( sK23_SY268 @ SV28 ) )
!= ( sK28_SY430 @ SV28 ) ) ) )
= $false )
| ( ( m1_subset_1 @ SV193 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ ( sK23_SY268 @ SV28 ) @ SV193 )
= ( sK28_SY430 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ ( sK16_SY265 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7804]) ).
thf(7833,plain,
! [SV28: $i,SV194: $i] :
( ( ( m1_subset_1 @ SV194 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ ( sK29_SY268 @ SV28 ) @ SV194 )
!= ( sK33_SY443 @ SV28 ) )
= $true )
| ( ( ~ ~ ! [SY459: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY459 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY459 @ ( sK29_SY268 @ SV28 ) )
!= ( sK33_SY443 @ SV28 ) ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK21_SY377 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7805]) ).
thf(7834,plain,
! [SV28: $i,SV196: $i] :
( ( ( ~ ( m1_subset_1 @ SV196 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ ( sK34_SY268 @ SV28 ) @ SV196 )
!= ( sK38_SY460 @ SV28 ) ) )
= $true )
| ( ( ~ ~ ! [SY468: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY468 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY468 @ ( sK34_SY268 @ SV28 ) )
!= ( sK38_SY460 @ SV28 ) ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK24_SY389 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7806]) ).
thf(7835,plain,
! [SV28: $i,SV195: $i] :
( ( ( ~ ( m1_subset_1 @ SV195 @ ( u1_struct_0 @ SV28 ) ) )
= $true )
| ( ( ( k1_group_1 @ SV28 @ ( sK31_SY268 @ SV28 ) @ SV195 )
!= ( sK36_SY454 @ SV28 ) )
= $true )
| ( ( ~ ~ ! [SY465: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY465 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY465 @ ( sK31_SY268 @ SV28 ) )
!= ( sK36_SY454 @ SV28 ) ) ) )
= $true )
| ( ( ( k1_group_1 @ SV28 @ ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( sK21_SY377 @ SV28 ) ) @ ( sK24_SY389 @ SV28 ) )
= ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( k1_group_1 @ SV28 @ ( sK21_SY377 @ SV28 ) @ ( sK24_SY389 @ SV28 ) ) ) )
= $false )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7807]) ).
thf(7836,plain,
! [SV35: $i,SV83: $i] :
( ( ( v3_group_1 @ SV83 )
= $false )
| ( ( l1_group_1 @ SV35 )
= $false )
| ( ( v3_group_1 @ SV35 )
= $false )
| ( ( v3_struct_0 @ SV35 )
= $true )
| ( ( v4_group_1 @ SV35 )
= $false )
| ( ( v3_struct_0 @ SV83 )
= $true )
| ( ( ~ ( v4_group_1 @ SV83 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV83 ) )
= $true )
| ( ( r1_group_6 @ SV35 @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7808]) ).
thf(7837,plain,
! [SV48: $i,SV134: $i] :
( ( ( l1_group_1 @ SV134 )
= $false )
| ( ( v3_group_1 @ SV134 )
= $false )
| ( ( v3_struct_0 @ SV134 )
= $true )
| ( ( v4_group_1 @ SV134 )
= $false )
| ( ( ! [SY414: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SY414 )
| ~ ( v3_group_1 @ SY414 ) )
| ~ ( v4_group_1 @ SY414 ) )
| ~ ( l1_group_1 @ SY414 ) )
| ~ ~ ( ~ ( r1_group_6 @ SV48 @ SV134 )
| ~ ( r1_group_6 @ SV134 @ SY414 ) )
| ( r1_group_6 @ SV48 @ SY414 ) ) )
= $true )
| ( ( v4_group_1 @ SV48 )
= $false )
| ( ( v3_struct_0 @ SV48 )
= $true )
| ( ( v3_group_1 @ SV48 )
= $false )
| ( ( l1_group_1 @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7810]) ).
thf(7838,plain,
! [SV52: $i,SV184: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV184 )
| ~ ( v1_group_1 @ SV184 ) ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV184 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV184 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV184 ) )
= $true )
| ( ( ~ ( r1_group_6 @ SV52 @ SV184 )
| ( r1_group_6 @ SV184 @ SV52 ) )
= $true )
| ( ( v4_group_1 @ SV52 )
= $false )
| ( ( v1_group_1 @ SV52 )
= $false )
| ( ( v3_struct_0 @ SV52 )
= $true )
| ( ( v3_group_1 @ SV52 )
= $false )
| ( ( l1_group_1 @ SV52 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7811]) ).
thf(7839,plain,
! [SV87: $i,SV61: $i] :
( ( ( v3_struct_0 @ SV61 )
= $true )
| ( ( ~ ( v1_group_1 @ SV61 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV61 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV61 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV61 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV87 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( r2_group_6 @ SV61 @ SV87 )
| ( r2_group_6 @ SV87 @ SV61 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7813]) ).
thf(7840,plain,
! [SV107: $i,SV70: $i,SV197: $i] :
( ( ( ~ ~ ( ~ ( m1_subset_1 @ SV197 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SV197 )
!= SV107 ) )
| ( ( k1_group_1 @ SV70 @ SV197 @ ( sK27_SY387 @ SV107 @ SV70 ) )
!= SV107 ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SV107 )
= ( sK27_SY387 @ SV107 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV107 @ ( sK27_SY387 @ SV107 @ SV70 ) )
= ( sK27_SY387 @ SV107 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV107 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK14_SY342 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7815]) ).
thf(7841,plain,
! [SV146: $i,SV70: $i] :
( ( ( ~ ( v3_struct_0 @ SV70 ) )
= $true )
| ( ( m1_subset_1 @ SV146 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ ( sK32_SY423 @ SV146 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( m1_subset_1 @ ( sK15_SY372 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7816]) ).
thf(7842,plain,
! [SV146: $i,SV70: $i] :
( ( ( v3_group_1 @ SV70 )
= $true )
| ( ( m1_subset_1 @ SV146 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ ( sK32_SY423 @ SV146 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( m1_subset_1 @ ( sK15_SY372 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7817]) ).
thf(7843,plain,
! [SV146: $i,SV70: $i,SV199: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SV199 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SV199 )
!= SV146 ) )
| ( ( k1_group_1 @ SV70 @ SV199 @ ( sK32_SY423 @ SV146 @ SV70 ) )
!= SV146 ) ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SV146 )
= ( sK32_SY423 @ SV146 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV146 @ ( sK32_SY423 @ SV146 @ SV70 ) )
= ( sK32_SY423 @ SV146 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV146 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK15_SY372 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7818]) ).
thf(7844,plain,
! [SV153: $i,SV70: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV153 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ ( sK37_SY436 @ SV153 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( m1_subset_1 @ ( sK20_SY376 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7819]) ).
thf(7845,plain,
! [SV153: $i,SV70: $i] :
( ( ( ~ ! [SY466: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY466 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SY466 )
!= SV153 ) )
| ( ( k1_group_1 @ SV70 @ SY466 @ ( sK37_SY436 @ SV153 @ SV70 ) )
!= SV153 ) ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SV153 )
= ( sK37_SY436 @ SV153 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV153 @ ( sK37_SY436 @ SV153 @ SV70 ) )
= ( sK37_SY436 @ SV153 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV153 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK20_SY376 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7821]) ).
thf(7846,plain,
! [SV152: $i,SV70: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ ( sK35_SY433 @ SV152 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( sK15_SY372 @ SV70 ) ) @ ( sK20_SY376 @ SV70 ) )
= ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( k1_group_1 @ SV70 @ ( sK15_SY372 @ SV70 ) @ ( sK20_SY376 @ SV70 ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7822]) ).
thf(7847,plain,
! [SV152: $i,SV70: $i] :
( ( ( ~ ( v3_group_1 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ ( sK35_SY433 @ SV152 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( sK15_SY372 @ SV70 ) ) @ ( sK20_SY376 @ SV70 ) )
= ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( k1_group_1 @ SV70 @ ( sK15_SY372 @ SV70 ) @ ( sK20_SY376 @ SV70 ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7822]) ).
thf(7848,plain,
! [SV152: $i,SV70: $i] :
( ( ( ! [SY463: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY463 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SY463 )
!= SV152 ) )
| ( ( k1_group_1 @ SV70 @ SY463 @ ( sK35_SY433 @ SV152 @ SV70 ) )
!= SV152 ) ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SV152 )
= ( sK35_SY433 @ SV152 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV152 @ ( sK35_SY433 @ SV152 @ SV70 ) )
= ( sK35_SY433 @ SV152 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( sK15_SY372 @ SV70 ) ) @ ( sK20_SY376 @ SV70 ) )
= ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( k1_group_1 @ SV70 @ ( sK15_SY372 @ SV70 ) @ ( sK20_SY376 @ SV70 ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7823]) ).
thf(7849,plain,
! [SV179: $i,SV147: $i,SV71: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV147 @ SV179 ) @ ( k3_group_1 @ SV71 @ SV179 ) )
!= SV147 )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV147 @ ( k3_group_1 @ SV71 @ SV179 ) ) @ SV179 )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SV179 ) @ SV179 ) @ SV147 )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV179 @ ( k3_group_1 @ SV71 @ SV179 ) ) @ SV147 )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ SV147 @ ( k1_group_1 @ SV71 @ SV179 @ ( k3_group_1 @ SV71 @ SV179 ) ) )
!= SV147 ) )
= $false )
| ( ( m1_subset_1 @ SV179 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( m1_subset_1 @ SV147 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( v4_group_1 @ SV71 )
= $false )
| ( ( v3_struct_0 @ SV71 )
= $true )
| ( ( v3_group_1 @ SV71 )
= $false )
| ( ( l1_group_1 @ SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7824]) ).
thf(7850,plain,
! [SV91: $i,SV72: $i] :
( ( ( v3_struct_0 @ SV72 )
= $true )
| ( ( ~ ( v1_group_1 @ SV72 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV72 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV72 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV72 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV91 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV91 ) )
= $true )
| ( ( r2_group_6 @ SV72 @ SV72 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7826]) ).
thf(7851,plain,
! [SV11: $i] :
( ( ( v3_struct_0 @ ( k3_autgroup @ SV11 ) )
= $false )
| ( ( v4_group_1 @ SV11 )
= $false )
| ( ( v1_group_1 @ SV11 )
= $false )
| ( ( v3_struct_0 @ SV11 )
= $true )
| ( ( v3_group_1 @ SV11 )
= $false )
| ( ( l1_group_1 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7827]) ).
thf(7852,plain,
! [SV16: $i,SV161: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK41_SY439 @ SV161 @ SV16 ) @ ( u1_struct_0 @ SV16 ) ) )
= $false )
| ( ( m1_subset_1 @ SV161 @ ( u1_struct_0 @ SV16 ) )
= $false )
| ( ( v3_group_1 @ SV16 )
= $false )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7829]) ).
thf(7853,plain,
! [SV161: $i,SV16: $i] :
( ( ( ( k1_group_1 @ SV16 @ SV161 @ ( sK41_SY439 @ SV161 @ SV16 ) )
!= ( sK19_SY243 @ SV16 ) )
= $false )
| ( ( m1_subset_1 @ SV161 @ ( u1_struct_0 @ SV16 ) )
= $false )
| ( ( v3_group_1 @ SV16 )
= $false )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7829]) ).
thf(7854,plain,
! [SV106: $i,SV16: $i,SV198: $i] :
( ( ( ~ ( ~ ~ ( ~ ( m1_subset_1 @ SV198 @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ ( sK30_SY385 @ SV106 @ SV16 ) @ SV198 )
!= SV106 ) )
| ( ( k1_group_1 @ SV16 @ SV198 @ ( sK30_SY385 @ SV106 @ SV16 ) )
!= SV106 ) ) )
= $false )
| ( ( ( k1_group_1 @ SV16 @ ( sK30_SY385 @ SV106 @ SV16 ) @ SV106 )
= ( sK30_SY385 @ SV106 @ SV16 ) )
= $false )
| ( ( ( k1_group_1 @ SV16 @ SV106 @ ( sK30_SY385 @ SV106 @ SV16 ) )
= ( sK30_SY385 @ SV106 @ SV16 ) )
= $false )
| ( ( m1_subset_1 @ SV106 @ ( u1_struct_0 @ SV16 ) )
= $false )
| ( ( v3_group_1 @ SV16 )
= $true )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7830]) ).
thf(7855,plain,
! [SV123: $i,SV26: $i,SV200: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV200 )
| ~ ( v3_group_1 @ SV200 ) )
| ~ ( v4_group_1 @ SV200 ) )
| ~ ( l1_group_1 @ SV200 ) )
| ~ ~ ( ~ ( m1_group_2 @ SV26 @ SV123 )
| ~ ( m1_group_2 @ SV123 @ SV200 ) )
| ( m1_group_2 @ SV26 @ SV200 ) )
= $true )
| ( ( v4_group_1 @ SV123 )
= $false )
| ( ( v3_struct_0 @ SV123 )
= $true )
| ( ( v3_group_1 @ SV123 )
= $false )
| ( ( l1_group_1 @ SV123 )
= $false )
| ( ( v4_group_1 @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( v3_group_1 @ SV26 )
= $false )
| ( ( l1_group_1 @ SV26 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7831]) ).
thf(7856,plain,
! [SV193: $i,SV28: $i] :
( ( ( ! [SY442: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY442 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY442 @ ( sK23_SY268 @ SV28 ) )
!= ( sK28_SY430 @ SV28 ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV193 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ ( sK23_SY268 @ SV28 ) @ SV193 )
= ( sK28_SY430 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ ( sK16_SY265 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7832]) ).
thf(7857,plain,
! [SV194: $i,SV28: $i] :
( ( ( ( k1_group_1 @ SV28 @ ( sK29_SY268 @ SV28 ) @ SV194 )
= ( sK33_SY443 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ SV194 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( ~ ~ ! [SY459: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY459 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY459 @ ( sK29_SY268 @ SV28 ) )
!= ( sK33_SY443 @ SV28 ) ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK21_SY377 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7833]) ).
thf(7858,plain,
! [SV28: $i,SV196: $i] :
( ( ( ~ ( m1_subset_1 @ SV196 @ ( u1_struct_0 @ SV28 ) ) )
= $true )
| ( ( ( k1_group_1 @ SV28 @ ( sK34_SY268 @ SV28 ) @ SV196 )
!= ( sK38_SY460 @ SV28 ) )
= $true )
| ( ( ~ ~ ! [SY468: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY468 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY468 @ ( sK34_SY268 @ SV28 ) )
!= ( sK38_SY460 @ SV28 ) ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK24_SY389 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7834]) ).
thf(7859,plain,
! [SV28: $i,SV195: $i] :
( ( ( m1_subset_1 @ SV195 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ ( sK31_SY268 @ SV28 ) @ SV195 )
!= ( sK36_SY454 @ SV28 ) )
= $true )
| ( ( ~ ~ ! [SY465: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY465 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY465 @ ( sK31_SY268 @ SV28 ) )
!= ( sK36_SY454 @ SV28 ) ) ) )
= $true )
| ( ( ( k1_group_1 @ SV28 @ ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( sK21_SY377 @ SV28 ) ) @ ( sK24_SY389 @ SV28 ) )
= ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( k1_group_1 @ SV28 @ ( sK21_SY377 @ SV28 ) @ ( sK24_SY389 @ SV28 ) ) ) )
= $false )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7835]) ).
thf(7860,plain,
! [SV35: $i,SV83: $i] :
( ( ( v4_group_1 @ SV83 )
= $false )
| ( ( v3_struct_0 @ SV83 )
= $true )
| ( ( v4_group_1 @ SV35 )
= $false )
| ( ( v3_struct_0 @ SV35 )
= $true )
| ( ( v3_group_1 @ SV35 )
= $false )
| ( ( l1_group_1 @ SV35 )
= $false )
| ( ( v3_group_1 @ SV83 )
= $false )
| ( ( ~ ( l1_group_1 @ SV83 ) )
= $true )
| ( ( r1_group_6 @ SV35 @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7836]) ).
thf(7861,plain,
! [SV134: $i,SV48: $i,SV201: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV201 )
| ~ ( v3_group_1 @ SV201 ) )
| ~ ( v4_group_1 @ SV201 ) )
| ~ ( l1_group_1 @ SV201 ) )
| ~ ~ ( ~ ( r1_group_6 @ SV48 @ SV134 )
| ~ ( r1_group_6 @ SV134 @ SV201 ) )
| ( r1_group_6 @ SV48 @ SV201 ) )
= $true )
| ( ( v4_group_1 @ SV134 )
= $false )
| ( ( v3_struct_0 @ SV134 )
= $true )
| ( ( v3_group_1 @ SV134 )
= $false )
| ( ( l1_group_1 @ SV134 )
= $false )
| ( ( v4_group_1 @ SV48 )
= $false )
| ( ( v3_struct_0 @ SV48 )
= $true )
| ( ( v3_group_1 @ SV48 )
= $false )
| ( ( l1_group_1 @ SV48 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7837]) ).
thf(7862,plain,
! [SV52: $i,SV184: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV184 )
| ~ ( v1_group_1 @ SV184 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV184 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV184 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV184 ) )
= $true )
| ( ( ~ ( r1_group_6 @ SV52 @ SV184 )
| ( r1_group_6 @ SV184 @ SV52 ) )
= $true )
| ( ( v4_group_1 @ SV52 )
= $false )
| ( ( v1_group_1 @ SV52 )
= $false )
| ( ( v3_struct_0 @ SV52 )
= $true )
| ( ( v3_group_1 @ SV52 )
= $false )
| ( ( l1_group_1 @ SV52 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7838]) ).
thf(7863,plain,
! [SV87: $i,SV61: $i] :
( ( ( v1_group_1 @ SV61 )
= $false )
| ( ( v3_struct_0 @ SV61 )
= $true )
| ( ( ~ ( v3_group_1 @ SV61 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV61 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV61 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV87 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( r2_group_6 @ SV61 @ SV87 )
| ( r2_group_6 @ SV87 @ SV61 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7839]) ).
thf(7864,plain,
! [SV107: $i,SV70: $i,SV197: $i] :
( ( ( ~ ~ ( ~ ( m1_subset_1 @ SV197 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SV197 )
!= SV107 ) ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ SV197 @ ( sK27_SY387 @ SV107 @ SV70 ) )
!= SV107 )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SV107 )
= ( sK27_SY387 @ SV107 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV107 @ ( sK27_SY387 @ SV107 @ SV70 ) )
= ( sK27_SY387 @ SV107 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV107 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK14_SY342 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7840]) ).
thf(7865,plain,
! [SV146: $i,SV70: $i] :
( ( ( v3_struct_0 @ SV70 )
= $false )
| ( ( m1_subset_1 @ SV146 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ ( sK32_SY423 @ SV146 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( m1_subset_1 @ ( sK15_SY372 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7841]) ).
thf(7866,plain,
! [SV146: $i,SV70: $i,SV199: $i] :
( ( ( ~ ( ~ ~ ( ~ ( m1_subset_1 @ SV199 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SV199 )
!= SV146 ) )
| ( ( k1_group_1 @ SV70 @ SV199 @ ( sK32_SY423 @ SV146 @ SV70 ) )
!= SV146 ) ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SV146 )
= ( sK32_SY423 @ SV146 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV146 @ ( sK32_SY423 @ SV146 @ SV70 ) )
= ( sK32_SY423 @ SV146 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV146 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK15_SY372 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7843]) ).
thf(7867,plain,
! [SV153: $i,SV70: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV153 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ ( sK37_SY436 @ SV153 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( m1_subset_1 @ ( sK20_SY376 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7844]) ).
thf(7868,plain,
! [SV153: $i,SV70: $i] :
( ( ( ~ ( v3_group_1 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV153 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ ( sK37_SY436 @ SV153 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( m1_subset_1 @ ( sK20_SY376 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7844]) ).
thf(7869,plain,
! [SV153: $i,SV70: $i] :
( ( ( ! [SY466: $i] :
~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SY466 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SY466 )
!= SV153 ) )
| ( ( k1_group_1 @ SV70 @ SY466 @ ( sK37_SY436 @ SV153 @ SV70 ) )
!= SV153 ) ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SV153 )
= ( sK37_SY436 @ SV153 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV153 @ ( sK37_SY436 @ SV153 @ SV70 ) )
= ( sK37_SY436 @ SV153 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV153 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK20_SY376 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7845]) ).
thf(7870,plain,
! [SV152: $i,SV70: $i] :
( ( ( ~ ( v3_struct_0 @ SV70 ) )
= $true )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ ( sK35_SY433 @ SV152 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( sK15_SY372 @ SV70 ) ) @ ( sK20_SY376 @ SV70 ) )
= ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( k1_group_1 @ SV70 @ ( sK15_SY372 @ SV70 ) @ ( sK20_SY376 @ SV70 ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7846]) ).
thf(7871,plain,
! [SV152: $i,SV70: $i] :
( ( ( v3_group_1 @ SV70 )
= $true )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ ( sK35_SY433 @ SV152 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( sK15_SY372 @ SV70 ) ) @ ( sK20_SY376 @ SV70 ) )
= ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( k1_group_1 @ SV70 @ ( sK15_SY372 @ SV70 ) @ ( sK20_SY376 @ SV70 ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7847]) ).
thf(7872,plain,
! [SV152: $i,SV70: $i,SV202: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SV202 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SV202 )
!= SV152 ) )
| ( ( k1_group_1 @ SV70 @ SV202 @ ( sK35_SY433 @ SV152 @ SV70 ) )
!= SV152 ) ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SV152 )
= ( sK35_SY433 @ SV152 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV152 @ ( sK35_SY433 @ SV152 @ SV70 ) )
= ( sK35_SY433 @ SV152 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( sK15_SY372 @ SV70 ) ) @ ( sK20_SY376 @ SV70 ) )
= ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( k1_group_1 @ SV70 @ ( sK15_SY372 @ SV70 ) @ ( sK20_SY376 @ SV70 ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7848]) ).
thf(7873,plain,
! [SV179: $i,SV147: $i,SV71: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV147 @ SV179 ) @ ( k3_group_1 @ SV71 @ SV179 ) )
!= SV147 )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV147 @ ( k3_group_1 @ SV71 @ SV179 ) ) @ SV179 )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SV179 ) @ SV179 ) @ SV147 )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV179 @ ( k3_group_1 @ SV71 @ SV179 ) ) @ SV147 )
!= SV147 ) ) )
= $false )
| ( ( m1_subset_1 @ SV179 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( m1_subset_1 @ SV147 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( v4_group_1 @ SV71 )
= $false )
| ( ( v3_struct_0 @ SV71 )
= $true )
| ( ( v3_group_1 @ SV71 )
= $false )
| ( ( l1_group_1 @ SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7849]) ).
thf(7874,plain,
! [SV179: $i,SV147: $i,SV71: $i] :
( ( ( ( k1_group_1 @ SV71 @ SV147 @ ( k1_group_1 @ SV71 @ SV179 @ ( k3_group_1 @ SV71 @ SV179 ) ) )
!= SV147 )
= $false )
| ( ( m1_subset_1 @ SV179 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( m1_subset_1 @ SV147 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( v4_group_1 @ SV71 )
= $false )
| ( ( v3_struct_0 @ SV71 )
= $true )
| ( ( v3_group_1 @ SV71 )
= $false )
| ( ( l1_group_1 @ SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7849]) ).
thf(7875,plain,
! [SV91: $i,SV72: $i] :
( ( ( v1_group_1 @ SV72 )
= $false )
| ( ( v3_struct_0 @ SV72 )
= $true )
| ( ( ~ ( v3_group_1 @ SV72 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV72 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV72 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV91 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV91 ) )
= $true )
| ( ( r2_group_6 @ SV72 @ SV72 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7850]) ).
thf(7876,plain,
! [SV16: $i,SV161: $i] :
( ( ( m1_subset_1 @ ( sK41_SY439 @ SV161 @ SV16 ) @ ( u1_struct_0 @ SV16 ) )
= $true )
| ( ( m1_subset_1 @ SV161 @ ( u1_struct_0 @ SV16 ) )
= $false )
| ( ( v3_group_1 @ SV16 )
= $false )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7852]) ).
thf(7877,plain,
! [SV161: $i,SV16: $i] :
( ( ( ( k1_group_1 @ SV16 @ SV161 @ ( sK41_SY439 @ SV161 @ SV16 ) )
= ( sK19_SY243 @ SV16 ) )
= $true )
| ( ( m1_subset_1 @ SV161 @ ( u1_struct_0 @ SV16 ) )
= $false )
| ( ( v3_group_1 @ SV16 )
= $false )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7853]) ).
thf(7878,plain,
! [SV106: $i,SV16: $i,SV198: $i] :
( ( ( ~ ~ ( ~ ( m1_subset_1 @ SV198 @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ ( sK30_SY385 @ SV106 @ SV16 ) @ SV198 )
!= SV106 ) )
| ( ( k1_group_1 @ SV16 @ SV198 @ ( sK30_SY385 @ SV106 @ SV16 ) )
!= SV106 ) )
= $true )
| ( ( ( k1_group_1 @ SV16 @ ( sK30_SY385 @ SV106 @ SV16 ) @ SV106 )
= ( sK30_SY385 @ SV106 @ SV16 ) )
= $false )
| ( ( ( k1_group_1 @ SV16 @ SV106 @ ( sK30_SY385 @ SV106 @ SV16 ) )
= ( sK30_SY385 @ SV106 @ SV16 ) )
= $false )
| ( ( m1_subset_1 @ SV106 @ ( u1_struct_0 @ SV16 ) )
= $false )
| ( ( v3_group_1 @ SV16 )
= $true )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7854]) ).
thf(7879,plain,
! [SV123: $i,SV26: $i,SV200: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV200 )
| ~ ( v3_group_1 @ SV200 ) )
| ~ ( v4_group_1 @ SV200 ) )
| ~ ( l1_group_1 @ SV200 ) ) )
= $true )
| ( ( ~ ~ ( ~ ( m1_group_2 @ SV26 @ SV123 )
| ~ ( m1_group_2 @ SV123 @ SV200 ) )
| ( m1_group_2 @ SV26 @ SV200 ) )
= $true )
| ( ( v4_group_1 @ SV123 )
= $false )
| ( ( v3_struct_0 @ SV123 )
= $true )
| ( ( v3_group_1 @ SV123 )
= $false )
| ( ( l1_group_1 @ SV123 )
= $false )
| ( ( v4_group_1 @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( v3_group_1 @ SV26 )
= $false )
| ( ( l1_group_1 @ SV26 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7855]) ).
thf(7880,plain,
! [SV193: $i,SV28: $i,SV203: $i] :
( ( ( ~ ~ ( ~ ( m1_subset_1 @ SV203 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SV203 @ ( sK23_SY268 @ SV28 ) )
!= ( sK28_SY430 @ SV28 ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV193 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ ( sK23_SY268 @ SV28 ) @ SV193 )
= ( sK28_SY430 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ ( sK16_SY265 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7856]) ).
thf(7881,plain,
! [SV194: $i,SV28: $i] :
( ( ( ~ ! [SY459: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY459 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY459 @ ( sK29_SY268 @ SV28 ) )
!= ( sK33_SY443 @ SV28 ) ) ) )
= $false )
| ( ( m1_subset_1 @ SV194 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ ( sK29_SY268 @ SV28 ) @ SV194 )
= ( sK33_SY443 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ ( sK21_SY377 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7857]) ).
thf(7882,plain,
! [SV28: $i,SV196: $i] :
( ( ( m1_subset_1 @ SV196 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ ( sK34_SY268 @ SV28 ) @ SV196 )
!= ( sK38_SY460 @ SV28 ) )
= $true )
| ( ( ~ ~ ! [SY468: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY468 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY468 @ ( sK34_SY268 @ SV28 ) )
!= ( sK38_SY460 @ SV28 ) ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK24_SY389 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7858]) ).
thf(7883,plain,
! [SV195: $i,SV28: $i] :
( ( ( ( k1_group_1 @ SV28 @ ( sK31_SY268 @ SV28 ) @ SV195 )
= ( sK36_SY454 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ SV195 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( ~ ~ ! [SY465: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY465 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY465 @ ( sK31_SY268 @ SV28 ) )
!= ( sK36_SY454 @ SV28 ) ) ) )
= $true )
| ( ( ( k1_group_1 @ SV28 @ ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( sK21_SY377 @ SV28 ) ) @ ( sK24_SY389 @ SV28 ) )
= ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( k1_group_1 @ SV28 @ ( sK21_SY377 @ SV28 ) @ ( sK24_SY389 @ SV28 ) ) ) )
= $false )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7859]) ).
thf(7884,plain,
! [SV35: $i,SV83: $i] :
( ( ( l1_group_1 @ SV83 )
= $false )
| ( ( v3_group_1 @ SV83 )
= $false )
| ( ( l1_group_1 @ SV35 )
= $false )
| ( ( v3_group_1 @ SV35 )
= $false )
| ( ( v3_struct_0 @ SV35 )
= $true )
| ( ( v4_group_1 @ SV35 )
= $false )
| ( ( v3_struct_0 @ SV83 )
= $true )
| ( ( v4_group_1 @ SV83 )
= $false )
| ( ( r1_group_6 @ SV35 @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7860]) ).
thf(7885,plain,
! [SV134: $i,SV48: $i,SV201: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV201 )
| ~ ( v3_group_1 @ SV201 ) )
| ~ ( v4_group_1 @ SV201 ) )
| ~ ( l1_group_1 @ SV201 ) ) )
= $true )
| ( ( ~ ~ ( ~ ( r1_group_6 @ SV48 @ SV134 )
| ~ ( r1_group_6 @ SV134 @ SV201 ) )
| ( r1_group_6 @ SV48 @ SV201 ) )
= $true )
| ( ( v4_group_1 @ SV134 )
= $false )
| ( ( v3_struct_0 @ SV134 )
= $true )
| ( ( v3_group_1 @ SV134 )
= $false )
| ( ( l1_group_1 @ SV134 )
= $false )
| ( ( v4_group_1 @ SV48 )
= $false )
| ( ( v3_struct_0 @ SV48 )
= $true )
| ( ( v3_group_1 @ SV48 )
= $false )
| ( ( l1_group_1 @ SV48 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7861]) ).
thf(7886,plain,
! [SV52: $i,SV184: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV184 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV184 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV184 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV184 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV184 ) )
= $true )
| ( ( ~ ( r1_group_6 @ SV52 @ SV184 )
| ( r1_group_6 @ SV184 @ SV52 ) )
= $true )
| ( ( v4_group_1 @ SV52 )
= $false )
| ( ( v1_group_1 @ SV52 )
= $false )
| ( ( v3_struct_0 @ SV52 )
= $true )
| ( ( v3_group_1 @ SV52 )
= $false )
| ( ( l1_group_1 @ SV52 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7862]) ).
thf(7887,plain,
! [SV87: $i,SV61: $i] :
( ( ( v3_group_1 @ SV61 )
= $false )
| ( ( v3_struct_0 @ SV61 )
= $true )
| ( ( v1_group_1 @ SV61 )
= $false )
| ( ( ~ ( v4_group_1 @ SV61 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV61 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV87 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( r2_group_6 @ SV61 @ SV87 )
| ( r2_group_6 @ SV87 @ SV61 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7863]) ).
thf(7888,plain,
! [SV107: $i,SV70: $i,SV197: $i] :
( ( ( ~ ( ~ ( m1_subset_1 @ SV197 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SV197 )
!= SV107 ) ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV197 @ ( sK27_SY387 @ SV107 @ SV70 ) )
!= SV107 )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SV107 )
= ( sK27_SY387 @ SV107 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV107 @ ( sK27_SY387 @ SV107 @ SV70 ) )
= ( sK27_SY387 @ SV107 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV107 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK14_SY342 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7864]) ).
thf(7889,plain,
! [SV146: $i,SV70: $i,SV199: $i] :
( ( ( ~ ~ ( ~ ( m1_subset_1 @ SV199 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SV199 )
!= SV146 ) )
| ( ( k1_group_1 @ SV70 @ SV199 @ ( sK32_SY423 @ SV146 @ SV70 ) )
!= SV146 ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SV146 )
= ( sK32_SY423 @ SV146 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV146 @ ( sK32_SY423 @ SV146 @ SV70 ) )
= ( sK32_SY423 @ SV146 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV146 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK15_SY372 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7866]) ).
thf(7890,plain,
! [SV153: $i,SV70: $i] :
( ( ( ~ ( v3_struct_0 @ SV70 ) )
= $true )
| ( ( m1_subset_1 @ SV153 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ ( sK37_SY436 @ SV153 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( m1_subset_1 @ ( sK20_SY376 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7867]) ).
thf(7891,plain,
! [SV153: $i,SV70: $i] :
( ( ( v3_group_1 @ SV70 )
= $true )
| ( ( m1_subset_1 @ SV153 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ ( sK37_SY436 @ SV153 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( m1_subset_1 @ ( sK20_SY376 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7868]) ).
thf(7892,plain,
! [SV153: $i,SV70: $i,SV204: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( m1_subset_1 @ SV204 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SV204 )
!= SV153 ) )
| ( ( k1_group_1 @ SV70 @ SV204 @ ( sK37_SY436 @ SV153 @ SV70 ) )
!= SV153 ) ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SV153 )
= ( sK37_SY436 @ SV153 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV153 @ ( sK37_SY436 @ SV153 @ SV70 ) )
= ( sK37_SY436 @ SV153 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV153 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK20_SY376 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7869]) ).
thf(7893,plain,
! [SV152: $i,SV70: $i] :
( ( ( v3_struct_0 @ SV70 )
= $false )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ ( sK35_SY433 @ SV152 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( sK15_SY372 @ SV70 ) ) @ ( sK20_SY376 @ SV70 ) )
= ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( k1_group_1 @ SV70 @ ( sK15_SY372 @ SV70 ) @ ( sK20_SY376 @ SV70 ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7870]) ).
thf(7894,plain,
! [SV152: $i,SV70: $i,SV202: $i] :
( ( ( ~ ( ~ ~ ( ~ ( m1_subset_1 @ SV202 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SV202 )
!= SV152 ) )
| ( ( k1_group_1 @ SV70 @ SV202 @ ( sK35_SY433 @ SV152 @ SV70 ) )
!= SV152 ) ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SV152 )
= ( sK35_SY433 @ SV152 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV152 @ ( sK35_SY433 @ SV152 @ SV70 ) )
= ( sK35_SY433 @ SV152 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( sK15_SY372 @ SV70 ) ) @ ( sK20_SY376 @ SV70 ) )
= ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( k1_group_1 @ SV70 @ ( sK15_SY372 @ SV70 ) @ ( sK20_SY376 @ SV70 ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7872]) ).
thf(7895,plain,
! [SV179: $i,SV147: $i,SV71: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV147 @ SV179 ) @ ( k3_group_1 @ SV71 @ SV179 ) )
!= SV147 )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV147 @ ( k3_group_1 @ SV71 @ SV179 ) ) @ SV179 )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SV179 ) @ SV179 ) @ SV147 )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV179 @ ( k3_group_1 @ SV71 @ SV179 ) ) @ SV147 )
!= SV147 ) ) )
= $true )
| ( ( m1_subset_1 @ SV179 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( m1_subset_1 @ SV147 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( v4_group_1 @ SV71 )
= $false )
| ( ( v3_struct_0 @ SV71 )
= $true )
| ( ( v3_group_1 @ SV71 )
= $false )
| ( ( l1_group_1 @ SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7873]) ).
thf(7896,plain,
! [SV179: $i,SV147: $i,SV71: $i] :
( ( ( ( k1_group_1 @ SV71 @ SV147 @ ( k1_group_1 @ SV71 @ SV179 @ ( k3_group_1 @ SV71 @ SV179 ) ) )
= SV147 )
= $true )
| ( ( m1_subset_1 @ SV179 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( m1_subset_1 @ SV147 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( v4_group_1 @ SV71 )
= $false )
| ( ( v3_struct_0 @ SV71 )
= $true )
| ( ( v3_group_1 @ SV71 )
= $false )
| ( ( l1_group_1 @ SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7874]) ).
thf(7897,plain,
! [SV91: $i,SV72: $i] :
( ( ( v3_group_1 @ SV72 )
= $false )
| ( ( v3_struct_0 @ SV72 )
= $true )
| ( ( v1_group_1 @ SV72 )
= $false )
| ( ( ~ ( v4_group_1 @ SV72 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV72 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV91 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV91 ) )
= $true )
| ( ( r2_group_6 @ SV72 @ SV72 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7875]) ).
thf(7898,plain,
! [SV106: $i,SV16: $i,SV198: $i] :
( ( ( ~ ~ ( ~ ( m1_subset_1 @ SV198 @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ ( sK30_SY385 @ SV106 @ SV16 ) @ SV198 )
!= SV106 ) ) )
= $true )
| ( ( ( k1_group_1 @ SV16 @ SV198 @ ( sK30_SY385 @ SV106 @ SV16 ) )
!= SV106 )
= $true )
| ( ( ( k1_group_1 @ SV16 @ ( sK30_SY385 @ SV106 @ SV16 ) @ SV106 )
= ( sK30_SY385 @ SV106 @ SV16 ) )
= $false )
| ( ( ( k1_group_1 @ SV16 @ SV106 @ ( sK30_SY385 @ SV106 @ SV16 ) )
= ( sK30_SY385 @ SV106 @ SV16 ) )
= $false )
| ( ( m1_subset_1 @ SV106 @ ( u1_struct_0 @ SV16 ) )
= $false )
| ( ( v3_group_1 @ SV16 )
= $true )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7878]) ).
thf(7899,plain,
! [SV123: $i,SV26: $i,SV200: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV200 )
| ~ ( v3_group_1 @ SV200 ) )
| ~ ( v4_group_1 @ SV200 ) )
| ~ ( l1_group_1 @ SV200 ) ) )
= $false )
| ( ( ~ ~ ( ~ ( m1_group_2 @ SV26 @ SV123 )
| ~ ( m1_group_2 @ SV123 @ SV200 ) )
| ( m1_group_2 @ SV26 @ SV200 ) )
= $true )
| ( ( v4_group_1 @ SV123 )
= $false )
| ( ( v3_struct_0 @ SV123 )
= $true )
| ( ( v3_group_1 @ SV123 )
= $false )
| ( ( l1_group_1 @ SV123 )
= $false )
| ( ( v4_group_1 @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( v3_group_1 @ SV26 )
= $false )
| ( ( l1_group_1 @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7879]) ).
thf(7900,plain,
! [SV193: $i,SV28: $i,SV203: $i] :
( ( ( ~ ( ~ ( m1_subset_1 @ SV203 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SV203 @ ( sK23_SY268 @ SV28 ) )
!= ( sK28_SY430 @ SV28 ) ) ) )
= $false )
| ( ( m1_subset_1 @ SV193 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ ( sK23_SY268 @ SV28 ) @ SV193 )
= ( sK28_SY430 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ ( sK16_SY265 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7880]) ).
thf(7901,plain,
! [SV194: $i,SV28: $i] :
( ( ( ! [SY459: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY459 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY459 @ ( sK29_SY268 @ SV28 ) )
!= ( sK33_SY443 @ SV28 ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV194 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ ( sK29_SY268 @ SV28 ) @ SV194 )
= ( sK33_SY443 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ ( sK21_SY377 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7881]) ).
thf(7902,plain,
! [SV196: $i,SV28: $i] :
( ( ( ( k1_group_1 @ SV28 @ ( sK34_SY268 @ SV28 ) @ SV196 )
= ( sK38_SY460 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ SV196 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( ~ ~ ! [SY468: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY468 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY468 @ ( sK34_SY268 @ SV28 ) )
!= ( sK38_SY460 @ SV28 ) ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK24_SY389 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7882]) ).
thf(7903,plain,
! [SV195: $i,SV28: $i] :
( ( ( ~ ! [SY465: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY465 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY465 @ ( sK31_SY268 @ SV28 ) )
!= ( sK36_SY454 @ SV28 ) ) ) )
= $false )
| ( ( m1_subset_1 @ SV195 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ ( sK31_SY268 @ SV28 ) @ SV195 )
= ( sK36_SY454 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( sK21_SY377 @ SV28 ) ) @ ( sK24_SY389 @ SV28 ) )
= ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( k1_group_1 @ SV28 @ ( sK21_SY377 @ SV28 ) @ ( sK24_SY389 @ SV28 ) ) ) )
= $false )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7883]) ).
thf(7904,plain,
! [SV134: $i,SV48: $i,SV201: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV201 )
| ~ ( v3_group_1 @ SV201 ) )
| ~ ( v4_group_1 @ SV201 ) )
| ~ ( l1_group_1 @ SV201 ) ) )
= $false )
| ( ( ~ ~ ( ~ ( r1_group_6 @ SV48 @ SV134 )
| ~ ( r1_group_6 @ SV134 @ SV201 ) )
| ( r1_group_6 @ SV48 @ SV201 ) )
= $true )
| ( ( v4_group_1 @ SV134 )
= $false )
| ( ( v3_struct_0 @ SV134 )
= $true )
| ( ( v3_group_1 @ SV134 )
= $false )
| ( ( l1_group_1 @ SV134 )
= $false )
| ( ( v4_group_1 @ SV48 )
= $false )
| ( ( v3_struct_0 @ SV48 )
= $true )
| ( ( v3_group_1 @ SV48 )
= $false )
| ( ( l1_group_1 @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7885]) ).
thf(7905,plain,
! [SV52: $i,SV184: $i] :
( ( ( ~ ( v3_struct_0 @ SV184 ) )
= $false )
| ( ( ~ ( v1_group_1 @ SV184 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV184 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV184 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV184 ) )
= $true )
| ( ( ~ ( r1_group_6 @ SV52 @ SV184 )
| ( r1_group_6 @ SV184 @ SV52 ) )
= $true )
| ( ( v4_group_1 @ SV52 )
= $false )
| ( ( v1_group_1 @ SV52 )
= $false )
| ( ( v3_struct_0 @ SV52 )
= $true )
| ( ( v3_group_1 @ SV52 )
= $false )
| ( ( l1_group_1 @ SV52 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7886]) ).
thf(7906,plain,
! [SV87: $i,SV61: $i] :
( ( ( v4_group_1 @ SV61 )
= $false )
| ( ( v1_group_1 @ SV61 )
= $false )
| ( ( v3_struct_0 @ SV61 )
= $true )
| ( ( v3_group_1 @ SV61 )
= $false )
| ( ( ~ ( l1_group_1 @ SV61 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV87 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( r2_group_6 @ SV61 @ SV87 )
| ( r2_group_6 @ SV87 @ SV61 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7887]) ).
thf(7907,plain,
! [SV107: $i,SV70: $i,SV197: $i] :
( ( ( ~ ( m1_subset_1 @ SV197 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SV197 )
!= SV107 ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ SV197 @ ( sK27_SY387 @ SV107 @ SV70 ) )
!= SV107 )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SV107 )
= ( sK27_SY387 @ SV107 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV107 @ ( sK27_SY387 @ SV107 @ SV70 ) )
= ( sK27_SY387 @ SV107 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV107 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK14_SY342 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7888]) ).
thf(7908,plain,
! [SV146: $i,SV70: $i,SV199: $i] :
( ( ( ~ ~ ( ~ ( m1_subset_1 @ SV199 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SV199 )
!= SV146 ) ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ SV199 @ ( sK32_SY423 @ SV146 @ SV70 ) )
!= SV146 )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SV146 )
= ( sK32_SY423 @ SV146 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV146 @ ( sK32_SY423 @ SV146 @ SV70 ) )
= ( sK32_SY423 @ SV146 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV146 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK15_SY372 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7889]) ).
thf(7909,plain,
! [SV153: $i,SV70: $i] :
( ( ( v3_struct_0 @ SV70 )
= $false )
| ( ( m1_subset_1 @ SV153 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ ( sK37_SY436 @ SV153 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( m1_subset_1 @ ( sK20_SY376 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7890]) ).
thf(7910,plain,
! [SV153: $i,SV70: $i,SV204: $i] :
( ( ( ~ ( ~ ~ ( ~ ( m1_subset_1 @ SV204 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SV204 )
!= SV153 ) )
| ( ( k1_group_1 @ SV70 @ SV204 @ ( sK37_SY436 @ SV153 @ SV70 ) )
!= SV153 ) ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SV153 )
= ( sK37_SY436 @ SV153 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV153 @ ( sK37_SY436 @ SV153 @ SV70 ) )
= ( sK37_SY436 @ SV153 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV153 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK20_SY376 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7892]) ).
thf(7911,plain,
! [SV152: $i,SV70: $i,SV202: $i] :
( ( ( ~ ~ ( ~ ( m1_subset_1 @ SV202 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SV202 )
!= SV152 ) )
| ( ( k1_group_1 @ SV70 @ SV202 @ ( sK35_SY433 @ SV152 @ SV70 ) )
!= SV152 ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SV152 )
= ( sK35_SY433 @ SV152 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV152 @ ( sK35_SY433 @ SV152 @ SV70 ) )
= ( sK35_SY433 @ SV152 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( sK15_SY372 @ SV70 ) ) @ ( sK20_SY376 @ SV70 ) )
= ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( k1_group_1 @ SV70 @ ( sK15_SY372 @ SV70 ) @ ( sK20_SY376 @ SV70 ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7894]) ).
thf(7912,plain,
! [SV179: $i,SV147: $i,SV71: $i] :
( ( ( ~ ~ ( ~ ~ ( ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV147 @ SV179 ) @ ( k3_group_1 @ SV71 @ SV179 ) )
!= SV147 )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV147 @ ( k3_group_1 @ SV71 @ SV179 ) ) @ SV179 )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SV179 ) @ SV179 ) @ SV147 )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV179 @ ( k3_group_1 @ SV71 @ SV179 ) ) @ SV147 )
!= SV147 ) )
= $false )
| ( ( m1_subset_1 @ SV179 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( m1_subset_1 @ SV147 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( v4_group_1 @ SV71 )
= $false )
| ( ( v3_struct_0 @ SV71 )
= $true )
| ( ( v3_group_1 @ SV71 )
= $false )
| ( ( l1_group_1 @ SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7895]) ).
thf(7913,plain,
! [SV91: $i,SV72: $i] :
( ( ( v4_group_1 @ SV72 )
= $false )
| ( ( v1_group_1 @ SV72 )
= $false )
| ( ( v3_struct_0 @ SV72 )
= $true )
| ( ( v3_group_1 @ SV72 )
= $false )
| ( ( ~ ( l1_group_1 @ SV72 ) )
= $true )
| ( ( ~ ~ ( v3_struct_0 @ SV91 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV91 ) )
= $true )
| ( ( r2_group_6 @ SV72 @ SV72 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7897]) ).
thf(7914,plain,
! [SV106: $i,SV16: $i,SV198: $i] :
( ( ( ~ ( ~ ( m1_subset_1 @ SV198 @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ ( sK30_SY385 @ SV106 @ SV16 ) @ SV198 )
!= SV106 ) ) )
= $false )
| ( ( ( k1_group_1 @ SV16 @ SV198 @ ( sK30_SY385 @ SV106 @ SV16 ) )
!= SV106 )
= $true )
| ( ( ( k1_group_1 @ SV16 @ ( sK30_SY385 @ SV106 @ SV16 ) @ SV106 )
= ( sK30_SY385 @ SV106 @ SV16 ) )
= $false )
| ( ( ( k1_group_1 @ SV16 @ SV106 @ ( sK30_SY385 @ SV106 @ SV16 ) )
= ( sK30_SY385 @ SV106 @ SV16 ) )
= $false )
| ( ( m1_subset_1 @ SV106 @ ( u1_struct_0 @ SV16 ) )
= $false )
| ( ( v3_group_1 @ SV16 )
= $true )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7898]) ).
thf(7915,plain,
! [SV123: $i,SV26: $i,SV200: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV200 )
| ~ ( v3_group_1 @ SV200 ) )
| ~ ( v4_group_1 @ SV200 ) )
| ~ ( l1_group_1 @ SV200 ) )
= $true )
| ( ( ~ ~ ( ~ ( m1_group_2 @ SV26 @ SV123 )
| ~ ( m1_group_2 @ SV123 @ SV200 ) )
| ( m1_group_2 @ SV26 @ SV200 ) )
= $true )
| ( ( v4_group_1 @ SV123 )
= $false )
| ( ( v3_struct_0 @ SV123 )
= $true )
| ( ( v3_group_1 @ SV123 )
= $false )
| ( ( l1_group_1 @ SV123 )
= $false )
| ( ( v4_group_1 @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( v3_group_1 @ SV26 )
= $false )
| ( ( l1_group_1 @ SV26 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7899]) ).
thf(7916,plain,
! [SV193: $i,SV28: $i,SV203: $i] :
( ( ( ~ ( m1_subset_1 @ SV203 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SV203 @ ( sK23_SY268 @ SV28 ) )
!= ( sK28_SY430 @ SV28 ) ) )
= $true )
| ( ( m1_subset_1 @ SV193 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ ( sK23_SY268 @ SV28 ) @ SV193 )
= ( sK28_SY430 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ ( sK16_SY265 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7900]) ).
thf(7917,plain,
! [SV194: $i,SV28: $i,SV205: $i] :
( ( ( ~ ~ ( ~ ( m1_subset_1 @ SV205 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SV205 @ ( sK29_SY268 @ SV28 ) )
!= ( sK33_SY443 @ SV28 ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV194 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ ( sK29_SY268 @ SV28 ) @ SV194 )
= ( sK33_SY443 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ ( sK21_SY377 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7901]) ).
thf(7918,plain,
! [SV196: $i,SV28: $i] :
( ( ( ~ ! [SY468: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY468 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY468 @ ( sK34_SY268 @ SV28 ) )
!= ( sK38_SY460 @ SV28 ) ) ) )
= $false )
| ( ( m1_subset_1 @ SV196 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ ( sK34_SY268 @ SV28 ) @ SV196 )
= ( sK38_SY460 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ ( sK24_SY389 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7902]) ).
thf(7919,plain,
! [SV195: $i,SV28: $i] :
( ( ( ! [SY465: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY465 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY465 @ ( sK31_SY268 @ SV28 ) )
!= ( sK36_SY454 @ SV28 ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV195 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ ( sK31_SY268 @ SV28 ) @ SV195 )
= ( sK36_SY454 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( sK21_SY377 @ SV28 ) ) @ ( sK24_SY389 @ SV28 ) )
= ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( k1_group_1 @ SV28 @ ( sK21_SY377 @ SV28 ) @ ( sK24_SY389 @ SV28 ) ) ) )
= $false )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7903]) ).
thf(7920,plain,
! [SV134: $i,SV48: $i,SV201: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV201 )
| ~ ( v3_group_1 @ SV201 ) )
| ~ ( v4_group_1 @ SV201 ) )
| ~ ( l1_group_1 @ SV201 ) )
= $true )
| ( ( ~ ~ ( ~ ( r1_group_6 @ SV48 @ SV134 )
| ~ ( r1_group_6 @ SV134 @ SV201 ) )
| ( r1_group_6 @ SV48 @ SV201 ) )
= $true )
| ( ( v4_group_1 @ SV134 )
= $false )
| ( ( v3_struct_0 @ SV134 )
= $true )
| ( ( v3_group_1 @ SV134 )
= $false )
| ( ( l1_group_1 @ SV134 )
= $false )
| ( ( v4_group_1 @ SV48 )
= $false )
| ( ( v3_struct_0 @ SV48 )
= $true )
| ( ( v3_group_1 @ SV48 )
= $false )
| ( ( l1_group_1 @ SV48 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7904]) ).
thf(7921,plain,
! [SV52: $i,SV184: $i] :
( ( ( v3_struct_0 @ SV184 )
= $true )
| ( ( ~ ( v1_group_1 @ SV184 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV184 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV184 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV184 ) )
= $true )
| ( ( ~ ( r1_group_6 @ SV52 @ SV184 )
| ( r1_group_6 @ SV184 @ SV52 ) )
= $true )
| ( ( v4_group_1 @ SV52 )
= $false )
| ( ( v1_group_1 @ SV52 )
= $false )
| ( ( v3_struct_0 @ SV52 )
= $true )
| ( ( v3_group_1 @ SV52 )
= $false )
| ( ( l1_group_1 @ SV52 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7905]) ).
thf(7922,plain,
! [SV87: $i,SV61: $i] :
( ( ( l1_group_1 @ SV61 )
= $false )
| ( ( v3_group_1 @ SV61 )
= $false )
| ( ( v3_struct_0 @ SV61 )
= $true )
| ( ( v1_group_1 @ SV61 )
= $false )
| ( ( v4_group_1 @ SV61 )
= $false )
| ( ( ~ ~ ( v3_struct_0 @ SV87 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( r2_group_6 @ SV61 @ SV87 )
| ( r2_group_6 @ SV87 @ SV61 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7906]) ).
thf(7923,plain,
! [SV107: $i,SV70: $i,SV197: $i] :
( ( ( ~ ( m1_subset_1 @ SV197 @ ( u1_struct_0 @ SV70 ) ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SV197 )
!= SV107 )
= $true )
| ( ( ( k1_group_1 @ SV70 @ SV197 @ ( sK27_SY387 @ SV107 @ SV70 ) )
!= SV107 )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SV107 )
= ( sK27_SY387 @ SV107 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV107 @ ( sK27_SY387 @ SV107 @ SV70 ) )
= ( sK27_SY387 @ SV107 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV107 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK14_SY342 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7907]) ).
thf(7924,plain,
! [SV146: $i,SV70: $i,SV199: $i] :
( ( ( ~ ( ~ ( m1_subset_1 @ SV199 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SV199 )
!= SV146 ) ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV199 @ ( sK32_SY423 @ SV146 @ SV70 ) )
!= SV146 )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SV146 )
= ( sK32_SY423 @ SV146 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV146 @ ( sK32_SY423 @ SV146 @ SV70 ) )
= ( sK32_SY423 @ SV146 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV146 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK15_SY372 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7908]) ).
thf(7925,plain,
! [SV153: $i,SV70: $i,SV204: $i] :
( ( ( ~ ~ ( ~ ( m1_subset_1 @ SV204 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SV204 )
!= SV153 ) )
| ( ( k1_group_1 @ SV70 @ SV204 @ ( sK37_SY436 @ SV153 @ SV70 ) )
!= SV153 ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SV153 )
= ( sK37_SY436 @ SV153 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV153 @ ( sK37_SY436 @ SV153 @ SV70 ) )
= ( sK37_SY436 @ SV153 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV153 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK20_SY376 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7910]) ).
thf(7926,plain,
! [SV152: $i,SV70: $i,SV202: $i] :
( ( ( ~ ~ ( ~ ( m1_subset_1 @ SV202 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SV202 )
!= SV152 ) ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ SV202 @ ( sK35_SY433 @ SV152 @ SV70 ) )
!= SV152 )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SV152 )
= ( sK35_SY433 @ SV152 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV152 @ ( sK35_SY433 @ SV152 @ SV70 ) )
= ( sK35_SY433 @ SV152 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( sK15_SY372 @ SV70 ) ) @ ( sK20_SY376 @ SV70 ) )
= ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( k1_group_1 @ SV70 @ ( sK15_SY372 @ SV70 ) @ ( sK20_SY376 @ SV70 ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7911]) ).
thf(7927,plain,
! [SV179: $i,SV147: $i,SV71: $i] :
( ( ( ~ ~ ( ~ ~ ( ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV147 @ SV179 ) @ ( k3_group_1 @ SV71 @ SV179 ) )
!= SV147 )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV147 @ ( k3_group_1 @ SV71 @ SV179 ) ) @ SV179 )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SV179 ) @ SV179 ) @ SV147 )
!= SV147 ) ) )
= $false )
| ( ( m1_subset_1 @ SV179 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( m1_subset_1 @ SV147 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( v4_group_1 @ SV71 )
= $false )
| ( ( v3_struct_0 @ SV71 )
= $true )
| ( ( v3_group_1 @ SV71 )
= $false )
| ( ( l1_group_1 @ SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7912]) ).
thf(7928,plain,
! [SV147: $i,SV179: $i,SV71: $i] :
( ( ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV179 @ ( k3_group_1 @ SV71 @ SV179 ) ) @ SV147 )
!= SV147 )
= $false )
| ( ( m1_subset_1 @ SV179 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( m1_subset_1 @ SV147 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( v4_group_1 @ SV71 )
= $false )
| ( ( v3_struct_0 @ SV71 )
= $true )
| ( ( v3_group_1 @ SV71 )
= $false )
| ( ( l1_group_1 @ SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7912]) ).
thf(7929,plain,
! [SV91: $i,SV72: $i] :
( ( ( l1_group_1 @ SV72 )
= $false )
| ( ( v3_group_1 @ SV72 )
= $false )
| ( ( v3_struct_0 @ SV72 )
= $true )
| ( ( v1_group_1 @ SV72 )
= $false )
| ( ( v4_group_1 @ SV72 )
= $false )
| ( ( ~ ~ ( v3_struct_0 @ SV91 ) )
= $true )
| ( ( ~ ( v1_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV91 ) )
= $true )
| ( ( r2_group_6 @ SV72 @ SV72 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7913]) ).
thf(7930,plain,
! [SV106: $i,SV16: $i,SV198: $i] :
( ( ( ~ ( m1_subset_1 @ SV198 @ ( u1_struct_0 @ SV16 ) )
| ( ( k1_group_1 @ SV16 @ ( sK30_SY385 @ SV106 @ SV16 ) @ SV198 )
!= SV106 ) )
= $true )
| ( ( ( k1_group_1 @ SV16 @ SV198 @ ( sK30_SY385 @ SV106 @ SV16 ) )
!= SV106 )
= $true )
| ( ( ( k1_group_1 @ SV16 @ ( sK30_SY385 @ SV106 @ SV16 ) @ SV106 )
= ( sK30_SY385 @ SV106 @ SV16 ) )
= $false )
| ( ( ( k1_group_1 @ SV16 @ SV106 @ ( sK30_SY385 @ SV106 @ SV16 ) )
= ( sK30_SY385 @ SV106 @ SV16 ) )
= $false )
| ( ( m1_subset_1 @ SV106 @ ( u1_struct_0 @ SV16 ) )
= $false )
| ( ( v3_group_1 @ SV16 )
= $true )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7914]) ).
thf(7931,plain,
! [SV123: $i,SV26: $i,SV200: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV200 )
| ~ ( v3_group_1 @ SV200 ) )
| ~ ( v4_group_1 @ SV200 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV200 ) )
= $true )
| ( ( ~ ~ ( ~ ( m1_group_2 @ SV26 @ SV123 )
| ~ ( m1_group_2 @ SV123 @ SV200 ) )
| ( m1_group_2 @ SV26 @ SV200 ) )
= $true )
| ( ( v4_group_1 @ SV123 )
= $false )
| ( ( v3_struct_0 @ SV123 )
= $true )
| ( ( v3_group_1 @ SV123 )
= $false )
| ( ( l1_group_1 @ SV123 )
= $false )
| ( ( v4_group_1 @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( v3_group_1 @ SV26 )
= $false )
| ( ( l1_group_1 @ SV26 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7915]) ).
thf(7932,plain,
! [SV193: $i,SV28: $i,SV203: $i] :
( ( ( ~ ( m1_subset_1 @ SV203 @ ( u1_struct_0 @ SV28 ) ) )
= $true )
| ( ( ( k1_group_1 @ SV28 @ SV203 @ ( sK23_SY268 @ SV28 ) )
!= ( sK28_SY430 @ SV28 ) )
= $true )
| ( ( m1_subset_1 @ SV193 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ ( sK23_SY268 @ SV28 ) @ SV193 )
= ( sK28_SY430 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ ( sK16_SY265 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7916]) ).
thf(7933,plain,
! [SV194: $i,SV28: $i,SV205: $i] :
( ( ( ~ ( ~ ( m1_subset_1 @ SV205 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SV205 @ ( sK29_SY268 @ SV28 ) )
!= ( sK33_SY443 @ SV28 ) ) ) )
= $false )
| ( ( m1_subset_1 @ SV194 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ ( sK29_SY268 @ SV28 ) @ SV194 )
= ( sK33_SY443 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ ( sK21_SY377 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7917]) ).
thf(7934,plain,
! [SV196: $i,SV28: $i] :
( ( ( ! [SY468: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY468 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SY468 @ ( sK34_SY268 @ SV28 ) )
!= ( sK38_SY460 @ SV28 ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV196 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ ( sK34_SY268 @ SV28 ) @ SV196 )
= ( sK38_SY460 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ ( sK24_SY389 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7918]) ).
thf(7935,plain,
! [SV195: $i,SV28: $i,SV206: $i] :
( ( ( ~ ~ ( ~ ( m1_subset_1 @ SV206 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SV206 @ ( sK31_SY268 @ SV28 ) )
!= ( sK36_SY454 @ SV28 ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV195 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ ( sK31_SY268 @ SV28 ) @ SV195 )
= ( sK36_SY454 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( sK21_SY377 @ SV28 ) ) @ ( sK24_SY389 @ SV28 ) )
= ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( k1_group_1 @ SV28 @ ( sK21_SY377 @ SV28 ) @ ( sK24_SY389 @ SV28 ) ) ) )
= $false )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7919]) ).
thf(7936,plain,
! [SV134: $i,SV48: $i,SV201: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV201 )
| ~ ( v3_group_1 @ SV201 ) )
| ~ ( v4_group_1 @ SV201 ) ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV201 ) )
= $true )
| ( ( ~ ~ ( ~ ( r1_group_6 @ SV48 @ SV134 )
| ~ ( r1_group_6 @ SV134 @ SV201 ) )
| ( r1_group_6 @ SV48 @ SV201 ) )
= $true )
| ( ( v4_group_1 @ SV134 )
= $false )
| ( ( v3_struct_0 @ SV134 )
= $true )
| ( ( v3_group_1 @ SV134 )
= $false )
| ( ( l1_group_1 @ SV134 )
= $false )
| ( ( v4_group_1 @ SV48 )
= $false )
| ( ( v3_struct_0 @ SV48 )
= $true )
| ( ( v3_group_1 @ SV48 )
= $false )
| ( ( l1_group_1 @ SV48 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7920]) ).
thf(7937,plain,
! [SV52: $i,SV184: $i] :
( ( ( v1_group_1 @ SV184 )
= $false )
| ( ( v3_struct_0 @ SV184 )
= $true )
| ( ( ~ ( v3_group_1 @ SV184 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV184 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV184 ) )
= $true )
| ( ( ~ ( r1_group_6 @ SV52 @ SV184 )
| ( r1_group_6 @ SV184 @ SV52 ) )
= $true )
| ( ( v4_group_1 @ SV52 )
= $false )
| ( ( v1_group_1 @ SV52 )
= $false )
| ( ( v3_struct_0 @ SV52 )
= $true )
| ( ( v3_group_1 @ SV52 )
= $false )
| ( ( l1_group_1 @ SV52 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7921]) ).
thf(7938,plain,
! [SV61: $i,SV87: $i] :
( ( ( ~ ( v3_struct_0 @ SV87 ) )
= $false )
| ( ( v4_group_1 @ SV61 )
= $false )
| ( ( v1_group_1 @ SV61 )
= $false )
| ( ( v3_struct_0 @ SV61 )
= $true )
| ( ( v3_group_1 @ SV61 )
= $false )
| ( ( l1_group_1 @ SV61 )
= $false )
| ( ( ~ ( v1_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( r2_group_6 @ SV61 @ SV87 )
| ( r2_group_6 @ SV87 @ SV61 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7922]) ).
thf(7939,plain,
! [SV107: $i,SV70: $i,SV197: $i] :
( ( ( m1_subset_1 @ SV197 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SV197 )
!= SV107 )
= $true )
| ( ( ( k1_group_1 @ SV70 @ SV197 @ ( sK27_SY387 @ SV107 @ SV70 ) )
!= SV107 )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SV107 )
= ( sK27_SY387 @ SV107 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV107 @ ( sK27_SY387 @ SV107 @ SV70 ) )
= ( sK27_SY387 @ SV107 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV107 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK14_SY342 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7923]) ).
thf(7940,plain,
! [SV146: $i,SV70: $i,SV199: $i] :
( ( ( ~ ( m1_subset_1 @ SV199 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SV199 )
!= SV146 ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ SV199 @ ( sK32_SY423 @ SV146 @ SV70 ) )
!= SV146 )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SV146 )
= ( sK32_SY423 @ SV146 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV146 @ ( sK32_SY423 @ SV146 @ SV70 ) )
= ( sK32_SY423 @ SV146 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV146 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK15_SY372 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7924]) ).
thf(7941,plain,
! [SV153: $i,SV70: $i,SV204: $i] :
( ( ( ~ ~ ( ~ ( m1_subset_1 @ SV204 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SV204 )
!= SV153 ) ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ SV204 @ ( sK37_SY436 @ SV153 @ SV70 ) )
!= SV153 )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SV153 )
= ( sK37_SY436 @ SV153 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV153 @ ( sK37_SY436 @ SV153 @ SV70 ) )
= ( sK37_SY436 @ SV153 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV153 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK20_SY376 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7925]) ).
thf(7942,plain,
! [SV152: $i,SV70: $i,SV202: $i] :
( ( ( ~ ( ~ ( m1_subset_1 @ SV202 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SV202 )
!= SV152 ) ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV202 @ ( sK35_SY433 @ SV152 @ SV70 ) )
!= SV152 )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SV152 )
= ( sK35_SY433 @ SV152 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV152 @ ( sK35_SY433 @ SV152 @ SV70 ) )
= ( sK35_SY433 @ SV152 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( sK15_SY372 @ SV70 ) ) @ ( sK20_SY376 @ SV70 ) )
= ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( k1_group_1 @ SV70 @ ( sK15_SY372 @ SV70 ) @ ( sK20_SY376 @ SV70 ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7926]) ).
thf(7943,plain,
! [SV179: $i,SV147: $i,SV71: $i] :
( ( ( ~ ( ~ ~ ( ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV147 @ SV179 ) @ ( k3_group_1 @ SV71 @ SV179 ) )
!= SV147 )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV147 @ ( k3_group_1 @ SV71 @ SV179 ) ) @ SV179 )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SV179 ) @ SV179 ) @ SV147 )
!= SV147 ) ) )
= $true )
| ( ( m1_subset_1 @ SV179 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( m1_subset_1 @ SV147 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( v4_group_1 @ SV71 )
= $false )
| ( ( v3_struct_0 @ SV71 )
= $true )
| ( ( v3_group_1 @ SV71 )
= $false )
| ( ( l1_group_1 @ SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7927]) ).
thf(7944,plain,
! [SV147: $i,SV179: $i,SV71: $i] :
( ( ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV179 @ ( k3_group_1 @ SV71 @ SV179 ) ) @ SV147 )
= SV147 )
= $true )
| ( ( m1_subset_1 @ SV179 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( m1_subset_1 @ SV147 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( v4_group_1 @ SV71 )
= $false )
| ( ( v3_struct_0 @ SV71 )
= $true )
| ( ( v3_group_1 @ SV71 )
= $false )
| ( ( l1_group_1 @ SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7928]) ).
thf(7945,plain,
! [SV72: $i,SV91: $i] :
( ( ( ~ ( v3_struct_0 @ SV91 ) )
= $false )
| ( ( v4_group_1 @ SV72 )
= $false )
| ( ( v1_group_1 @ SV72 )
= $false )
| ( ( v3_struct_0 @ SV72 )
= $true )
| ( ( v3_group_1 @ SV72 )
= $false )
| ( ( l1_group_1 @ SV72 )
= $false )
| ( ( ~ ( v1_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV91 ) )
= $true )
| ( ( r2_group_6 @ SV72 @ SV72 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7929]) ).
thf(7946,plain,
! [SV106: $i,SV16: $i,SV198: $i] :
( ( ( ~ ( m1_subset_1 @ SV198 @ ( u1_struct_0 @ SV16 ) ) )
= $true )
| ( ( ( k1_group_1 @ SV16 @ ( sK30_SY385 @ SV106 @ SV16 ) @ SV198 )
!= SV106 )
= $true )
| ( ( ( k1_group_1 @ SV16 @ SV198 @ ( sK30_SY385 @ SV106 @ SV16 ) )
!= SV106 )
= $true )
| ( ( ( k1_group_1 @ SV16 @ ( sK30_SY385 @ SV106 @ SV16 ) @ SV106 )
= ( sK30_SY385 @ SV106 @ SV16 ) )
= $false )
| ( ( ( k1_group_1 @ SV16 @ SV106 @ ( sK30_SY385 @ SV106 @ SV16 ) )
= ( sK30_SY385 @ SV106 @ SV16 ) )
= $false )
| ( ( m1_subset_1 @ SV106 @ ( u1_struct_0 @ SV16 ) )
= $false )
| ( ( v3_group_1 @ SV16 )
= $true )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7930]) ).
thf(7947,plain,
! [SV123: $i,SV26: $i,SV200: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV200 )
| ~ ( v3_group_1 @ SV200 ) )
| ~ ( v4_group_1 @ SV200 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV200 ) )
= $true )
| ( ( ~ ~ ( ~ ( m1_group_2 @ SV26 @ SV123 )
| ~ ( m1_group_2 @ SV123 @ SV200 ) )
| ( m1_group_2 @ SV26 @ SV200 ) )
= $true )
| ( ( v4_group_1 @ SV123 )
= $false )
| ( ( v3_struct_0 @ SV123 )
= $true )
| ( ( v3_group_1 @ SV123 )
= $false )
| ( ( l1_group_1 @ SV123 )
= $false )
| ( ( v4_group_1 @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( v3_group_1 @ SV26 )
= $false )
| ( ( l1_group_1 @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7931]) ).
thf(7948,plain,
! [SV193: $i,SV28: $i,SV203: $i] :
( ( ( m1_subset_1 @ SV203 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ SV203 @ ( sK23_SY268 @ SV28 ) )
!= ( sK28_SY430 @ SV28 ) )
= $true )
| ( ( m1_subset_1 @ SV193 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ ( sK23_SY268 @ SV28 ) @ SV193 )
= ( sK28_SY430 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ ( sK16_SY265 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7932]) ).
thf(7949,plain,
! [SV194: $i,SV28: $i,SV205: $i] :
( ( ( ~ ( m1_subset_1 @ SV205 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SV205 @ ( sK29_SY268 @ SV28 ) )
!= ( sK33_SY443 @ SV28 ) ) )
= $true )
| ( ( m1_subset_1 @ SV194 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ ( sK29_SY268 @ SV28 ) @ SV194 )
= ( sK33_SY443 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ ( sK21_SY377 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7933]) ).
thf(7950,plain,
! [SV196: $i,SV28: $i,SV207: $i] :
( ( ( ~ ~ ( ~ ( m1_subset_1 @ SV207 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SV207 @ ( sK34_SY268 @ SV28 ) )
!= ( sK38_SY460 @ SV28 ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV196 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ ( sK34_SY268 @ SV28 ) @ SV196 )
= ( sK38_SY460 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ ( sK24_SY389 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7934]) ).
thf(7951,plain,
! [SV195: $i,SV28: $i,SV206: $i] :
( ( ( ~ ( ~ ( m1_subset_1 @ SV206 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SV206 @ ( sK31_SY268 @ SV28 ) )
!= ( sK36_SY454 @ SV28 ) ) ) )
= $false )
| ( ( m1_subset_1 @ SV195 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ ( sK31_SY268 @ SV28 ) @ SV195 )
= ( sK36_SY454 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( sK21_SY377 @ SV28 ) ) @ ( sK24_SY389 @ SV28 ) )
= ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( k1_group_1 @ SV28 @ ( sK21_SY377 @ SV28 ) @ ( sK24_SY389 @ SV28 ) ) ) )
= $false )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7935]) ).
thf(7952,plain,
! [SV134: $i,SV48: $i,SV201: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV201 )
| ~ ( v3_group_1 @ SV201 ) )
| ~ ( v4_group_1 @ SV201 ) ) )
= $false )
| ( ( ~ ( l1_group_1 @ SV201 ) )
= $true )
| ( ( ~ ~ ( ~ ( r1_group_6 @ SV48 @ SV134 )
| ~ ( r1_group_6 @ SV134 @ SV201 ) )
| ( r1_group_6 @ SV48 @ SV201 ) )
= $true )
| ( ( v4_group_1 @ SV134 )
= $false )
| ( ( v3_struct_0 @ SV134 )
= $true )
| ( ( v3_group_1 @ SV134 )
= $false )
| ( ( l1_group_1 @ SV134 )
= $false )
| ( ( v4_group_1 @ SV48 )
= $false )
| ( ( v3_struct_0 @ SV48 )
= $true )
| ( ( v3_group_1 @ SV48 )
= $false )
| ( ( l1_group_1 @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7936]) ).
thf(7953,plain,
! [SV52: $i,SV184: $i] :
( ( ( v3_group_1 @ SV184 )
= $false )
| ( ( v3_struct_0 @ SV184 )
= $true )
| ( ( v1_group_1 @ SV184 )
= $false )
| ( ( ~ ( v4_group_1 @ SV184 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV184 ) )
= $true )
| ( ( ~ ( r1_group_6 @ SV52 @ SV184 )
| ( r1_group_6 @ SV184 @ SV52 ) )
= $true )
| ( ( v4_group_1 @ SV52 )
= $false )
| ( ( v1_group_1 @ SV52 )
= $false )
| ( ( v3_struct_0 @ SV52 )
= $true )
| ( ( v3_group_1 @ SV52 )
= $false )
| ( ( l1_group_1 @ SV52 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7937]) ).
thf(7954,plain,
! [SV61: $i,SV87: $i] :
( ( ( v3_struct_0 @ SV87 )
= $true )
| ( ( v4_group_1 @ SV61 )
= $false )
| ( ( v1_group_1 @ SV61 )
= $false )
| ( ( v3_struct_0 @ SV61 )
= $true )
| ( ( v3_group_1 @ SV61 )
= $false )
| ( ( l1_group_1 @ SV61 )
= $false )
| ( ( ~ ( v1_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( r2_group_6 @ SV61 @ SV87 )
| ( r2_group_6 @ SV87 @ SV61 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7938]) ).
thf(7955,plain,
! [SV197: $i,SV107: $i,SV70: $i] :
( ( ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SV197 )
= SV107 )
= $false )
| ( ( m1_subset_1 @ SV197 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV197 @ ( sK27_SY387 @ SV107 @ SV70 ) )
!= SV107 )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SV107 )
= ( sK27_SY387 @ SV107 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV107 @ ( sK27_SY387 @ SV107 @ SV70 ) )
= ( sK27_SY387 @ SV107 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV107 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK14_SY342 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7939]) ).
thf(7956,plain,
! [SV146: $i,SV70: $i,SV199: $i] :
( ( ( ~ ( m1_subset_1 @ SV199 @ ( u1_struct_0 @ SV70 ) ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SV199 )
!= SV146 )
= $true )
| ( ( ( k1_group_1 @ SV70 @ SV199 @ ( sK32_SY423 @ SV146 @ SV70 ) )
!= SV146 )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SV146 )
= ( sK32_SY423 @ SV146 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV146 @ ( sK32_SY423 @ SV146 @ SV70 ) )
= ( sK32_SY423 @ SV146 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV146 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK15_SY372 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7940]) ).
thf(7957,plain,
! [SV153: $i,SV70: $i,SV204: $i] :
( ( ( ~ ( ~ ( m1_subset_1 @ SV204 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SV204 )
!= SV153 ) ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV204 @ ( sK37_SY436 @ SV153 @ SV70 ) )
!= SV153 )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SV153 )
= ( sK37_SY436 @ SV153 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV153 @ ( sK37_SY436 @ SV153 @ SV70 ) )
= ( sK37_SY436 @ SV153 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV153 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK20_SY376 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7941]) ).
thf(7958,plain,
! [SV152: $i,SV70: $i,SV202: $i] :
( ( ( ~ ( m1_subset_1 @ SV202 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SV202 )
!= SV152 ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ SV202 @ ( sK35_SY433 @ SV152 @ SV70 ) )
!= SV152 )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SV152 )
= ( sK35_SY433 @ SV152 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV152 @ ( sK35_SY433 @ SV152 @ SV70 ) )
= ( sK35_SY433 @ SV152 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( sK15_SY372 @ SV70 ) ) @ ( sK20_SY376 @ SV70 ) )
= ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( k1_group_1 @ SV70 @ ( sK15_SY372 @ SV70 ) @ ( sK20_SY376 @ SV70 ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7942]) ).
thf(7959,plain,
! [SV179: $i,SV147: $i,SV71: $i] :
( ( ( ~ ~ ( ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV147 @ SV179 ) @ ( k3_group_1 @ SV71 @ SV179 ) )
!= SV147 )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV147 @ ( k3_group_1 @ SV71 @ SV179 ) ) @ SV179 )
!= SV147 ) )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SV179 ) @ SV179 ) @ SV147 )
!= SV147 ) )
= $false )
| ( ( m1_subset_1 @ SV179 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( m1_subset_1 @ SV147 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( v4_group_1 @ SV71 )
= $false )
| ( ( v3_struct_0 @ SV71 )
= $true )
| ( ( v3_group_1 @ SV71 )
= $false )
| ( ( l1_group_1 @ SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7943]) ).
thf(7960,plain,
! [SV72: $i,SV91: $i] :
( ( ( v3_struct_0 @ SV91 )
= $true )
| ( ( v4_group_1 @ SV72 )
= $false )
| ( ( v1_group_1 @ SV72 )
= $false )
| ( ( v3_struct_0 @ SV72 )
= $true )
| ( ( v3_group_1 @ SV72 )
= $false )
| ( ( l1_group_1 @ SV72 )
= $false )
| ( ( ~ ( v1_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV91 ) )
= $true )
| ( ( r2_group_6 @ SV72 @ SV72 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[7945]) ).
thf(7961,plain,
! [SV106: $i,SV16: $i,SV198: $i] :
( ( ( m1_subset_1 @ SV198 @ ( u1_struct_0 @ SV16 ) )
= $false )
| ( ( ( k1_group_1 @ SV16 @ ( sK30_SY385 @ SV106 @ SV16 ) @ SV198 )
!= SV106 )
= $true )
| ( ( ( k1_group_1 @ SV16 @ SV198 @ ( sK30_SY385 @ SV106 @ SV16 ) )
!= SV106 )
= $true )
| ( ( ( k1_group_1 @ SV16 @ ( sK30_SY385 @ SV106 @ SV16 ) @ SV106 )
= ( sK30_SY385 @ SV106 @ SV16 ) )
= $false )
| ( ( ( k1_group_1 @ SV16 @ SV106 @ ( sK30_SY385 @ SV106 @ SV16 ) )
= ( sK30_SY385 @ SV106 @ SV16 ) )
= $false )
| ( ( m1_subset_1 @ SV106 @ ( u1_struct_0 @ SV16 ) )
= $false )
| ( ( v3_group_1 @ SV16 )
= $true )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7946]) ).
thf(7962,plain,
! [SV123: $i,SV26: $i,SV200: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV200 )
| ~ ( v3_group_1 @ SV200 ) )
| ~ ( v4_group_1 @ SV200 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV200 ) )
= $true )
| ( ( ~ ~ ( ~ ( m1_group_2 @ SV26 @ SV123 )
| ~ ( m1_group_2 @ SV123 @ SV200 ) )
| ( m1_group_2 @ SV26 @ SV200 ) )
= $true )
| ( ( v4_group_1 @ SV123 )
= $false )
| ( ( v3_struct_0 @ SV123 )
= $true )
| ( ( v3_group_1 @ SV123 )
= $false )
| ( ( l1_group_1 @ SV123 )
= $false )
| ( ( v4_group_1 @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( v3_group_1 @ SV26 )
= $false )
| ( ( l1_group_1 @ SV26 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7947]) ).
thf(7963,plain,
! [SV193: $i,SV203: $i,SV28: $i] :
( ( ( ( k1_group_1 @ SV28 @ SV203 @ ( sK23_SY268 @ SV28 ) )
= ( sK28_SY430 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ SV203 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ SV193 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ ( sK23_SY268 @ SV28 ) @ SV193 )
= ( sK28_SY430 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ ( sK16_SY265 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7948]) ).
thf(7964,plain,
! [SV194: $i,SV28: $i,SV205: $i] :
( ( ( ~ ( m1_subset_1 @ SV205 @ ( u1_struct_0 @ SV28 ) ) )
= $true )
| ( ( ( k1_group_1 @ SV28 @ SV205 @ ( sK29_SY268 @ SV28 ) )
!= ( sK33_SY443 @ SV28 ) )
= $true )
| ( ( m1_subset_1 @ SV194 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ ( sK29_SY268 @ SV28 ) @ SV194 )
= ( sK33_SY443 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ ( sK21_SY377 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7949]) ).
thf(7965,plain,
! [SV196: $i,SV28: $i,SV207: $i] :
( ( ( ~ ( ~ ( m1_subset_1 @ SV207 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SV207 @ ( sK34_SY268 @ SV28 ) )
!= ( sK38_SY460 @ SV28 ) ) ) )
= $false )
| ( ( m1_subset_1 @ SV196 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ ( sK34_SY268 @ SV28 ) @ SV196 )
= ( sK38_SY460 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ ( sK24_SY389 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7950]) ).
thf(7966,plain,
! [SV195: $i,SV28: $i,SV206: $i] :
( ( ( ~ ( m1_subset_1 @ SV206 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SV206 @ ( sK31_SY268 @ SV28 ) )
!= ( sK36_SY454 @ SV28 ) ) )
= $true )
| ( ( m1_subset_1 @ SV195 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ ( sK31_SY268 @ SV28 ) @ SV195 )
= ( sK36_SY454 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( sK21_SY377 @ SV28 ) ) @ ( sK24_SY389 @ SV28 ) )
= ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( k1_group_1 @ SV28 @ ( sK21_SY377 @ SV28 ) @ ( sK24_SY389 @ SV28 ) ) ) )
= $false )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7951]) ).
thf(7967,plain,
! [SV134: $i,SV48: $i,SV201: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV201 )
| ~ ( v3_group_1 @ SV201 ) )
| ~ ( v4_group_1 @ SV201 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV201 ) )
= $true )
| ( ( ~ ~ ( ~ ( r1_group_6 @ SV48 @ SV134 )
| ~ ( r1_group_6 @ SV134 @ SV201 ) )
| ( r1_group_6 @ SV48 @ SV201 ) )
= $true )
| ( ( v4_group_1 @ SV134 )
= $false )
| ( ( v3_struct_0 @ SV134 )
= $true )
| ( ( v3_group_1 @ SV134 )
= $false )
| ( ( l1_group_1 @ SV134 )
= $false )
| ( ( v4_group_1 @ SV48 )
= $false )
| ( ( v3_struct_0 @ SV48 )
= $true )
| ( ( v3_group_1 @ SV48 )
= $false )
| ( ( l1_group_1 @ SV48 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7952]) ).
thf(7968,plain,
! [SV52: $i,SV184: $i] :
( ( ( v4_group_1 @ SV184 )
= $false )
| ( ( v1_group_1 @ SV184 )
= $false )
| ( ( v3_struct_0 @ SV184 )
= $true )
| ( ( v3_group_1 @ SV184 )
= $false )
| ( ( ~ ( l1_group_1 @ SV184 ) )
= $true )
| ( ( ~ ( r1_group_6 @ SV52 @ SV184 )
| ( r1_group_6 @ SV184 @ SV52 ) )
= $true )
| ( ( v4_group_1 @ SV52 )
= $false )
| ( ( v1_group_1 @ SV52 )
= $false )
| ( ( v3_struct_0 @ SV52 )
= $true )
| ( ( v3_group_1 @ SV52 )
= $false )
| ( ( l1_group_1 @ SV52 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7953]) ).
thf(7969,plain,
! [SV61: $i,SV87: $i] :
( ( ( v1_group_1 @ SV87 )
= $false )
| ( ( l1_group_1 @ SV61 )
= $false )
| ( ( v3_group_1 @ SV61 )
= $false )
| ( ( v3_struct_0 @ SV61 )
= $true )
| ( ( v1_group_1 @ SV61 )
= $false )
| ( ( v4_group_1 @ SV61 )
= $false )
| ( ( v3_struct_0 @ SV87 )
= $true )
| ( ( ~ ( v3_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( r2_group_6 @ SV61 @ SV87 )
| ( r2_group_6 @ SV87 @ SV61 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7954]) ).
thf(7970,plain,
! [SV107: $i,SV197: $i,SV70: $i] :
( ( ( ( k1_group_1 @ SV70 @ SV197 @ ( sK27_SY387 @ SV107 @ SV70 ) )
= SV107 )
= $false )
| ( ( m1_subset_1 @ SV197 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SV197 )
= SV107 )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SV107 )
= ( sK27_SY387 @ SV107 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV107 @ ( sK27_SY387 @ SV107 @ SV70 ) )
= ( sK27_SY387 @ SV107 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV107 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK14_SY342 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7955]) ).
thf(7971,plain,
! [SV146: $i,SV70: $i,SV199: $i] :
( ( ( m1_subset_1 @ SV199 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SV199 )
!= SV146 )
= $true )
| ( ( ( k1_group_1 @ SV70 @ SV199 @ ( sK32_SY423 @ SV146 @ SV70 ) )
!= SV146 )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SV146 )
= ( sK32_SY423 @ SV146 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV146 @ ( sK32_SY423 @ SV146 @ SV70 ) )
= ( sK32_SY423 @ SV146 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV146 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK15_SY372 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7956]) ).
thf(7972,plain,
! [SV153: $i,SV70: $i,SV204: $i] :
( ( ( ~ ( m1_subset_1 @ SV204 @ ( u1_struct_0 @ SV70 ) )
| ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SV204 )
!= SV153 ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ SV204 @ ( sK37_SY436 @ SV153 @ SV70 ) )
!= SV153 )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SV153 )
= ( sK37_SY436 @ SV153 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV153 @ ( sK37_SY436 @ SV153 @ SV70 ) )
= ( sK37_SY436 @ SV153 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV153 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK20_SY376 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7957]) ).
thf(7973,plain,
! [SV152: $i,SV70: $i,SV202: $i] :
( ( ( ~ ( m1_subset_1 @ SV202 @ ( u1_struct_0 @ SV70 ) ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SV202 )
!= SV152 )
= $true )
| ( ( ( k1_group_1 @ SV70 @ SV202 @ ( sK35_SY433 @ SV152 @ SV70 ) )
!= SV152 )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SV152 )
= ( sK35_SY433 @ SV152 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV152 @ ( sK35_SY433 @ SV152 @ SV70 ) )
= ( sK35_SY433 @ SV152 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( sK15_SY372 @ SV70 ) ) @ ( sK20_SY376 @ SV70 ) )
= ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( k1_group_1 @ SV70 @ ( sK15_SY372 @ SV70 ) @ ( sK20_SY376 @ SV70 ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7958]) ).
thf(7974,plain,
! [SV179: $i,SV147: $i,SV71: $i] :
( ( ( ~ ~ ( ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV147 @ SV179 ) @ ( k3_group_1 @ SV71 @ SV179 ) )
!= SV147 )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV147 @ ( k3_group_1 @ SV71 @ SV179 ) ) @ SV179 )
!= SV147 ) ) )
= $false )
| ( ( m1_subset_1 @ SV179 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( m1_subset_1 @ SV147 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( v4_group_1 @ SV71 )
= $false )
| ( ( v3_struct_0 @ SV71 )
= $true )
| ( ( v3_group_1 @ SV71 )
= $false )
| ( ( l1_group_1 @ SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7959]) ).
thf(7975,plain,
! [SV147: $i,SV179: $i,SV71: $i] :
( ( ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SV179 ) @ SV179 ) @ SV147 )
!= SV147 )
= $false )
| ( ( m1_subset_1 @ SV179 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( m1_subset_1 @ SV147 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( v4_group_1 @ SV71 )
= $false )
| ( ( v3_struct_0 @ SV71 )
= $true )
| ( ( v3_group_1 @ SV71 )
= $false )
| ( ( l1_group_1 @ SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7959]) ).
thf(7976,plain,
! [SV72: $i,SV91: $i] :
( ( ( v1_group_1 @ SV91 )
= $false )
| ( ( l1_group_1 @ SV72 )
= $false )
| ( ( v3_group_1 @ SV72 )
= $false )
| ( ( v3_struct_0 @ SV72 )
= $true )
| ( ( v1_group_1 @ SV72 )
= $false )
| ( ( v4_group_1 @ SV72 )
= $false )
| ( ( v3_struct_0 @ SV91 )
= $true )
| ( ( ~ ( v3_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV91 ) )
= $true )
| ( ( r2_group_6 @ SV72 @ SV72 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7960]) ).
thf(7977,plain,
! [SV198: $i,SV106: $i,SV16: $i] :
( ( ( ( k1_group_1 @ SV16 @ ( sK30_SY385 @ SV106 @ SV16 ) @ SV198 )
= SV106 )
= $false )
| ( ( m1_subset_1 @ SV198 @ ( u1_struct_0 @ SV16 ) )
= $false )
| ( ( ( k1_group_1 @ SV16 @ SV198 @ ( sK30_SY385 @ SV106 @ SV16 ) )
!= SV106 )
= $true )
| ( ( ( k1_group_1 @ SV16 @ ( sK30_SY385 @ SV106 @ SV16 ) @ SV106 )
= ( sK30_SY385 @ SV106 @ SV16 ) )
= $false )
| ( ( ( k1_group_1 @ SV16 @ SV106 @ ( sK30_SY385 @ SV106 @ SV16 ) )
= ( sK30_SY385 @ SV106 @ SV16 ) )
= $false )
| ( ( m1_subset_1 @ SV106 @ ( u1_struct_0 @ SV16 ) )
= $false )
| ( ( v3_group_1 @ SV16 )
= $true )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7961]) ).
thf(7978,plain,
! [SV123: $i,SV26: $i,SV200: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV200 )
| ~ ( v3_group_1 @ SV200 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV200 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV200 ) )
= $true )
| ( ( ~ ~ ( ~ ( m1_group_2 @ SV26 @ SV123 )
| ~ ( m1_group_2 @ SV123 @ SV200 ) )
| ( m1_group_2 @ SV26 @ SV200 ) )
= $true )
| ( ( v4_group_1 @ SV123 )
= $false )
| ( ( v3_struct_0 @ SV123 )
= $true )
| ( ( v3_group_1 @ SV123 )
= $false )
| ( ( l1_group_1 @ SV123 )
= $false )
| ( ( v4_group_1 @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( v3_group_1 @ SV26 )
= $false )
| ( ( l1_group_1 @ SV26 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7962]) ).
thf(7979,plain,
! [SV203: $i,SV193: $i,SV28: $i] :
( ( ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ ( sK16_SY265 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ( k1_group_1 @ SV28 @ ( sK23_SY268 @ SV28 ) @ SV193 )
= ( sK28_SY430 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ SV193 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ SV203 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ SV203 @ ( sK23_SY268 @ SV28 ) )
= ( sK28_SY430 @ SV28 ) )
= $false )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7963]) ).
thf(7980,plain,
! [SV194: $i,SV28: $i,SV205: $i] :
( ( ( m1_subset_1 @ SV205 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ SV205 @ ( sK29_SY268 @ SV28 ) )
!= ( sK33_SY443 @ SV28 ) )
= $true )
| ( ( m1_subset_1 @ SV194 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ ( sK29_SY268 @ SV28 ) @ SV194 )
= ( sK33_SY443 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ ( sK21_SY377 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7964]) ).
thf(7981,plain,
! [SV196: $i,SV28: $i,SV207: $i] :
( ( ( ~ ( m1_subset_1 @ SV207 @ ( u1_struct_0 @ SV28 ) )
| ( ( k1_group_1 @ SV28 @ SV207 @ ( sK34_SY268 @ SV28 ) )
!= ( sK38_SY460 @ SV28 ) ) )
= $true )
| ( ( m1_subset_1 @ SV196 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ ( sK34_SY268 @ SV28 ) @ SV196 )
= ( sK38_SY460 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ ( sK24_SY389 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7965]) ).
thf(7982,plain,
! [SV195: $i,SV28: $i,SV206: $i] :
( ( ( ~ ( m1_subset_1 @ SV206 @ ( u1_struct_0 @ SV28 ) ) )
= $true )
| ( ( ( k1_group_1 @ SV28 @ SV206 @ ( sK31_SY268 @ SV28 ) )
!= ( sK36_SY454 @ SV28 ) )
= $true )
| ( ( m1_subset_1 @ SV195 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ ( sK31_SY268 @ SV28 ) @ SV195 )
= ( sK36_SY454 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( sK21_SY377 @ SV28 ) ) @ ( sK24_SY389 @ SV28 ) )
= ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( k1_group_1 @ SV28 @ ( sK21_SY377 @ SV28 ) @ ( sK24_SY389 @ SV28 ) ) ) )
= $false )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7966]) ).
thf(7983,plain,
! [SV134: $i,SV48: $i,SV201: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV201 )
| ~ ( v3_group_1 @ SV201 ) ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV201 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV201 ) )
= $true )
| ( ( ~ ~ ( ~ ( r1_group_6 @ SV48 @ SV134 )
| ~ ( r1_group_6 @ SV134 @ SV201 ) )
| ( r1_group_6 @ SV48 @ SV201 ) )
= $true )
| ( ( v4_group_1 @ SV134 )
= $false )
| ( ( v3_struct_0 @ SV134 )
= $true )
| ( ( v3_group_1 @ SV134 )
= $false )
| ( ( l1_group_1 @ SV134 )
= $false )
| ( ( v4_group_1 @ SV48 )
= $false )
| ( ( v3_struct_0 @ SV48 )
= $true )
| ( ( v3_group_1 @ SV48 )
= $false )
| ( ( l1_group_1 @ SV48 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7967]) ).
thf(7984,plain,
! [SV52: $i,SV184: $i] :
( ( ( l1_group_1 @ SV184 )
= $false )
| ( ( v3_group_1 @ SV184 )
= $false )
| ( ( v3_struct_0 @ SV184 )
= $true )
| ( ( v1_group_1 @ SV184 )
= $false )
| ( ( v4_group_1 @ SV184 )
= $false )
| ( ( ~ ( r1_group_6 @ SV52 @ SV184 )
| ( r1_group_6 @ SV184 @ SV52 ) )
= $true )
| ( ( v4_group_1 @ SV52 )
= $false )
| ( ( v1_group_1 @ SV52 )
= $false )
| ( ( v3_struct_0 @ SV52 )
= $true )
| ( ( v3_group_1 @ SV52 )
= $false )
| ( ( l1_group_1 @ SV52 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7968]) ).
thf(7985,plain,
! [SV61: $i,SV87: $i] :
( ( ( v3_group_1 @ SV87 )
= $false )
| ( ( v3_struct_0 @ SV87 )
= $true )
| ( ( v4_group_1 @ SV61 )
= $false )
| ( ( v1_group_1 @ SV61 )
= $false )
| ( ( v3_struct_0 @ SV61 )
= $true )
| ( ( v3_group_1 @ SV61 )
= $false )
| ( ( l1_group_1 @ SV61 )
= $false )
| ( ( v1_group_1 @ SV87 )
= $false )
| ( ( ~ ( v4_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( r2_group_6 @ SV61 @ SV87 )
| ( r2_group_6 @ SV87 @ SV61 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7969]) ).
thf(7986,plain,
! [SV197: $i,SV107: $i,SV70: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV107 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV107 @ ( sK27_SY387 @ SV107 @ SV70 ) )
= ( sK27_SY387 @ SV107 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SV107 )
= ( sK27_SY387 @ SV107 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SV197 )
= SV107 )
= $false )
| ( ( m1_subset_1 @ SV197 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV197 @ ( sK27_SY387 @ SV107 @ SV70 ) )
= SV107 )
= $false )
| ( ( m1_subset_1 @ ( sK14_SY342 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7970]) ).
thf(7987,plain,
! [SV199: $i,SV146: $i,SV70: $i] :
( ( ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SV199 )
= SV146 )
= $false )
| ( ( m1_subset_1 @ SV199 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV199 @ ( sK32_SY423 @ SV146 @ SV70 ) )
!= SV146 )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SV146 )
= ( sK32_SY423 @ SV146 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV146 @ ( sK32_SY423 @ SV146 @ SV70 ) )
= ( sK32_SY423 @ SV146 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV146 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK15_SY372 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7971]) ).
thf(7988,plain,
! [SV153: $i,SV70: $i,SV204: $i] :
( ( ( ~ ( m1_subset_1 @ SV204 @ ( u1_struct_0 @ SV70 ) ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SV204 )
!= SV153 )
= $true )
| ( ( ( k1_group_1 @ SV70 @ SV204 @ ( sK37_SY436 @ SV153 @ SV70 ) )
!= SV153 )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SV153 )
= ( sK37_SY436 @ SV153 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV153 @ ( sK37_SY436 @ SV153 @ SV70 ) )
= ( sK37_SY436 @ SV153 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV153 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK20_SY376 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7972]) ).
thf(7989,plain,
! [SV152: $i,SV70: $i,SV202: $i] :
( ( ( m1_subset_1 @ SV202 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SV202 )
!= SV152 )
= $true )
| ( ( ( k1_group_1 @ SV70 @ SV202 @ ( sK35_SY433 @ SV152 @ SV70 ) )
!= SV152 )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SV152 )
= ( sK35_SY433 @ SV152 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV152 @ ( sK35_SY433 @ SV152 @ SV70 ) )
= ( sK35_SY433 @ SV152 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( sK15_SY372 @ SV70 ) ) @ ( sK20_SY376 @ SV70 ) )
= ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( k1_group_1 @ SV70 @ ( sK15_SY372 @ SV70 ) @ ( sK20_SY376 @ SV70 ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7973]) ).
thf(7990,plain,
! [SV179: $i,SV147: $i,SV71: $i] :
( ( ( ~ ( ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV147 @ SV179 ) @ ( k3_group_1 @ SV71 @ SV179 ) )
!= SV147 )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV147 @ ( k3_group_1 @ SV71 @ SV179 ) ) @ SV179 )
!= SV147 ) ) )
= $true )
| ( ( m1_subset_1 @ SV179 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( m1_subset_1 @ SV147 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( v4_group_1 @ SV71 )
= $false )
| ( ( v3_struct_0 @ SV71 )
= $true )
| ( ( v3_group_1 @ SV71 )
= $false )
| ( ( l1_group_1 @ SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7974]) ).
thf(7991,plain,
! [SV147: $i,SV179: $i,SV71: $i] :
( ( ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ ( k3_group_1 @ SV71 @ SV179 ) @ SV179 ) @ SV147 )
= SV147 )
= $true )
| ( ( m1_subset_1 @ SV179 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( m1_subset_1 @ SV147 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( v4_group_1 @ SV71 )
= $false )
| ( ( v3_struct_0 @ SV71 )
= $true )
| ( ( v3_group_1 @ SV71 )
= $false )
| ( ( l1_group_1 @ SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7975]) ).
thf(7992,plain,
! [SV72: $i,SV91: $i] :
( ( ( v3_group_1 @ SV91 )
= $false )
| ( ( v3_struct_0 @ SV91 )
= $true )
| ( ( v4_group_1 @ SV72 )
= $false )
| ( ( v1_group_1 @ SV72 )
= $false )
| ( ( v3_struct_0 @ SV72 )
= $true )
| ( ( v3_group_1 @ SV72 )
= $false )
| ( ( l1_group_1 @ SV72 )
= $false )
| ( ( v1_group_1 @ SV91 )
= $false )
| ( ( ~ ( v4_group_1 @ SV91 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV91 ) )
= $true )
| ( ( r2_group_6 @ SV72 @ SV72 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7976]) ).
thf(7993,plain,
! [SV106: $i,SV198: $i,SV16: $i] :
( ( ( ( k1_group_1 @ SV16 @ SV198 @ ( sK30_SY385 @ SV106 @ SV16 ) )
= SV106 )
= $false )
| ( ( m1_subset_1 @ SV198 @ ( u1_struct_0 @ SV16 ) )
= $false )
| ( ( ( k1_group_1 @ SV16 @ ( sK30_SY385 @ SV106 @ SV16 ) @ SV198 )
= SV106 )
= $false )
| ( ( ( k1_group_1 @ SV16 @ ( sK30_SY385 @ SV106 @ SV16 ) @ SV106 )
= ( sK30_SY385 @ SV106 @ SV16 ) )
= $false )
| ( ( ( k1_group_1 @ SV16 @ SV106 @ ( sK30_SY385 @ SV106 @ SV16 ) )
= ( sK30_SY385 @ SV106 @ SV16 ) )
= $false )
| ( ( m1_subset_1 @ SV106 @ ( u1_struct_0 @ SV16 ) )
= $false )
| ( ( v3_group_1 @ SV16 )
= $true )
| ( ( v3_struct_0 @ SV16 )
= $true )
| ( ( l1_group_1 @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7977]) ).
thf(7994,plain,
! [SV123: $i,SV26: $i,SV200: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV200 )
| ~ ( v3_group_1 @ SV200 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV200 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV200 ) )
= $true )
| ( ( ~ ~ ( ~ ( m1_group_2 @ SV26 @ SV123 )
| ~ ( m1_group_2 @ SV123 @ SV200 ) )
| ( m1_group_2 @ SV26 @ SV200 ) )
= $true )
| ( ( v4_group_1 @ SV123 )
= $false )
| ( ( v3_struct_0 @ SV123 )
= $true )
| ( ( v3_group_1 @ SV123 )
= $false )
| ( ( l1_group_1 @ SV123 )
= $false )
| ( ( v4_group_1 @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( v3_group_1 @ SV26 )
= $false )
| ( ( l1_group_1 @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7978]) ).
thf(7995,plain,
! [SV203: $i,SV193: $i,SV28: $i] :
( ( ( ~ ( v4_group_1 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ ( sK16_SY265 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ( k1_group_1 @ SV28 @ ( sK23_SY268 @ SV28 ) @ SV193 )
= ( sK28_SY430 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ SV193 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ SV203 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ SV203 @ ( sK23_SY268 @ SV28 ) )
= ( sK28_SY430 @ SV28 ) )
= $false )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7979]) ).
thf(7996,plain,
! [SV203: $i,SV193: $i,SV28: $i] :
( ( ( ~ ( v3_group_1 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ ( sK16_SY265 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ( k1_group_1 @ SV28 @ ( sK23_SY268 @ SV28 ) @ SV193 )
= ( sK28_SY430 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ SV193 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ SV203 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ SV203 @ ( sK23_SY268 @ SV28 ) )
= ( sK28_SY430 @ SV28 ) )
= $false )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7979]) ).
thf(7997,plain,
! [SV194: $i,SV205: $i,SV28: $i] :
( ( ( ( k1_group_1 @ SV28 @ SV205 @ ( sK29_SY268 @ SV28 ) )
= ( sK33_SY443 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ SV205 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ SV194 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ ( sK29_SY268 @ SV28 ) @ SV194 )
= ( sK33_SY443 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ ( sK21_SY377 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7980]) ).
thf(7998,plain,
! [SV196: $i,SV28: $i,SV207: $i] :
( ( ( ~ ( m1_subset_1 @ SV207 @ ( u1_struct_0 @ SV28 ) ) )
= $true )
| ( ( ( k1_group_1 @ SV28 @ SV207 @ ( sK34_SY268 @ SV28 ) )
!= ( sK38_SY460 @ SV28 ) )
= $true )
| ( ( m1_subset_1 @ SV196 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ ( sK34_SY268 @ SV28 ) @ SV196 )
= ( sK38_SY460 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ ( sK24_SY389 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7981]) ).
thf(7999,plain,
! [SV195: $i,SV28: $i,SV206: $i] :
( ( ( m1_subset_1 @ SV206 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ SV206 @ ( sK31_SY268 @ SV28 ) )
!= ( sK36_SY454 @ SV28 ) )
= $true )
| ( ( m1_subset_1 @ SV195 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ ( sK31_SY268 @ SV28 ) @ SV195 )
= ( sK36_SY454 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( sK21_SY377 @ SV28 ) ) @ ( sK24_SY389 @ SV28 ) )
= ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( k1_group_1 @ SV28 @ ( sK21_SY377 @ SV28 ) @ ( sK24_SY389 @ SV28 ) ) ) )
= $false )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7982]) ).
thf(8000,plain,
! [SV134: $i,SV48: $i,SV201: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV201 )
| ~ ( v3_group_1 @ SV201 ) ) )
= $false )
| ( ( ~ ( v4_group_1 @ SV201 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV201 ) )
= $true )
| ( ( ~ ~ ( ~ ( r1_group_6 @ SV48 @ SV134 )
| ~ ( r1_group_6 @ SV134 @ SV201 ) )
| ( r1_group_6 @ SV48 @ SV201 ) )
= $true )
| ( ( v4_group_1 @ SV134 )
= $false )
| ( ( v3_struct_0 @ SV134 )
= $true )
| ( ( v3_group_1 @ SV134 )
= $false )
| ( ( l1_group_1 @ SV134 )
= $false )
| ( ( v4_group_1 @ SV48 )
= $false )
| ( ( v3_struct_0 @ SV48 )
= $true )
| ( ( v3_group_1 @ SV48 )
= $false )
| ( ( l1_group_1 @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7983]) ).
thf(8001,plain,
! [SV184: $i,SV52: $i] :
( ( ( ~ ( r1_group_6 @ SV52 @ SV184 ) )
= $true )
| ( ( r1_group_6 @ SV184 @ SV52 )
= $true )
| ( ( v4_group_1 @ SV184 )
= $false )
| ( ( v1_group_1 @ SV184 )
= $false )
| ( ( v3_struct_0 @ SV184 )
= $true )
| ( ( v3_group_1 @ SV184 )
= $false )
| ( ( l1_group_1 @ SV184 )
= $false )
| ( ( v4_group_1 @ SV52 )
= $false )
| ( ( v1_group_1 @ SV52 )
= $false )
| ( ( v3_struct_0 @ SV52 )
= $true )
| ( ( v3_group_1 @ SV52 )
= $false )
| ( ( l1_group_1 @ SV52 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7984]) ).
thf(8002,plain,
! [SV61: $i,SV87: $i] :
( ( ( v4_group_1 @ SV87 )
= $false )
| ( ( v1_group_1 @ SV87 )
= $false )
| ( ( l1_group_1 @ SV61 )
= $false )
| ( ( v3_group_1 @ SV61 )
= $false )
| ( ( v3_struct_0 @ SV61 )
= $true )
| ( ( v1_group_1 @ SV61 )
= $false )
| ( ( v4_group_1 @ SV61 )
= $false )
| ( ( v3_struct_0 @ SV87 )
= $true )
| ( ( v3_group_1 @ SV87 )
= $false )
| ( ( ~ ( l1_group_1 @ SV87 ) )
= $true )
| ( ( ~ ( r2_group_6 @ SV61 @ SV87 )
| ( r2_group_6 @ SV87 @ SV61 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7985]) ).
thf(8003,plain,
! [SV197: $i,SV107: $i,SV70: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) ) )
= $false )
| ( ( m1_subset_1 @ SV107 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV107 @ ( sK27_SY387 @ SV107 @ SV70 ) )
= ( sK27_SY387 @ SV107 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SV107 )
= ( sK27_SY387 @ SV107 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SV197 )
= SV107 )
= $false )
| ( ( m1_subset_1 @ SV197 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV197 @ ( sK27_SY387 @ SV107 @ SV70 ) )
= SV107 )
= $false )
| ( ( m1_subset_1 @ ( sK14_SY342 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7986]) ).
thf(8004,plain,
! [SV197: $i,SV107: $i,SV70: $i] :
( ( ( ~ ( l1_group_1 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV107 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV107 @ ( sK27_SY387 @ SV107 @ SV70 ) )
= ( sK27_SY387 @ SV107 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SV107 )
= ( sK27_SY387 @ SV107 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SV197 )
= SV107 )
= $false )
| ( ( m1_subset_1 @ SV197 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV197 @ ( sK27_SY387 @ SV107 @ SV70 ) )
= SV107 )
= $false )
| ( ( m1_subset_1 @ ( sK14_SY342 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7986]) ).
thf(8005,plain,
! [SV146: $i,SV199: $i,SV70: $i] :
( ( ( ( k1_group_1 @ SV70 @ SV199 @ ( sK32_SY423 @ SV146 @ SV70 ) )
= SV146 )
= $false )
| ( ( m1_subset_1 @ SV199 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SV199 )
= SV146 )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SV146 )
= ( sK32_SY423 @ SV146 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV146 @ ( sK32_SY423 @ SV146 @ SV70 ) )
= ( sK32_SY423 @ SV146 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV146 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK15_SY372 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7987]) ).
thf(8006,plain,
! [SV153: $i,SV70: $i,SV204: $i] :
( ( ( m1_subset_1 @ SV204 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SV204 )
!= SV153 )
= $true )
| ( ( ( k1_group_1 @ SV70 @ SV204 @ ( sK37_SY436 @ SV153 @ SV70 ) )
!= SV153 )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SV153 )
= ( sK37_SY436 @ SV153 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV153 @ ( sK37_SY436 @ SV153 @ SV70 ) )
= ( sK37_SY436 @ SV153 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV153 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK20_SY376 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7988]) ).
thf(8007,plain,
! [SV202: $i,SV152: $i,SV70: $i] :
( ( ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SV202 )
= SV152 )
= $false )
| ( ( m1_subset_1 @ SV202 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV202 @ ( sK35_SY433 @ SV152 @ SV70 ) )
!= SV152 )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SV152 )
= ( sK35_SY433 @ SV152 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV152 @ ( sK35_SY433 @ SV152 @ SV70 ) )
= ( sK35_SY433 @ SV152 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( sK15_SY372 @ SV70 ) ) @ ( sK20_SY376 @ SV70 ) )
= ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( k1_group_1 @ SV70 @ ( sK15_SY372 @ SV70 ) @ ( sK20_SY376 @ SV70 ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7989]) ).
thf(8008,plain,
! [SV179: $i,SV147: $i,SV71: $i] :
( ( ( ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV147 @ SV179 ) @ ( k3_group_1 @ SV71 @ SV179 ) )
!= SV147 )
| ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV147 @ ( k3_group_1 @ SV71 @ SV179 ) ) @ SV179 )
!= SV147 ) )
= $false )
| ( ( m1_subset_1 @ SV179 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( m1_subset_1 @ SV147 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( v4_group_1 @ SV71 )
= $false )
| ( ( v3_struct_0 @ SV71 )
= $true )
| ( ( v3_group_1 @ SV71 )
= $false )
| ( ( l1_group_1 @ SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7990]) ).
thf(8009,plain,
! [SV72: $i,SV91: $i] :
( ( ( v4_group_1 @ SV91 )
= $false )
| ( ( v1_group_1 @ SV91 )
= $false )
| ( ( l1_group_1 @ SV72 )
= $false )
| ( ( v3_group_1 @ SV72 )
= $false )
| ( ( v3_struct_0 @ SV72 )
= $true )
| ( ( v1_group_1 @ SV72 )
= $false )
| ( ( v4_group_1 @ SV72 )
= $false )
| ( ( v3_struct_0 @ SV91 )
= $true )
| ( ( v3_group_1 @ SV91 )
= $false )
| ( ( ~ ( l1_group_1 @ SV91 ) )
= $true )
| ( ( r2_group_6 @ SV72 @ SV72 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[7992]) ).
thf(8010,plain,
! [SV123: $i,SV26: $i,SV200: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV200 )
| ~ ( v3_group_1 @ SV200 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV200 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV200 ) )
= $true )
| ( ( ~ ~ ( ~ ( m1_group_2 @ SV26 @ SV123 )
| ~ ( m1_group_2 @ SV123 @ SV200 ) )
| ( m1_group_2 @ SV26 @ SV200 ) )
= $true )
| ( ( v4_group_1 @ SV123 )
= $false )
| ( ( v3_struct_0 @ SV123 )
= $true )
| ( ( v3_group_1 @ SV123 )
= $false )
| ( ( l1_group_1 @ SV123 )
= $false )
| ( ( v4_group_1 @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( v3_group_1 @ SV26 )
= $false )
| ( ( l1_group_1 @ SV26 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7994]) ).
thf(8011,plain,
! [SV203: $i,SV193: $i,SV28: $i] :
( ( ( v4_group_1 @ SV28 )
= $true )
| ( ( m1_subset_1 @ ( sK16_SY265 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ( k1_group_1 @ SV28 @ ( sK23_SY268 @ SV28 ) @ SV193 )
= ( sK28_SY430 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ SV193 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ SV203 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ SV203 @ ( sK23_SY268 @ SV28 ) )
= ( sK28_SY430 @ SV28 ) )
= $false )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7995]) ).
thf(8012,plain,
! [SV203: $i,SV193: $i,SV28: $i] :
( ( ( v3_group_1 @ SV28 )
= $true )
| ( ( m1_subset_1 @ ( sK16_SY265 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ( k1_group_1 @ SV28 @ ( sK23_SY268 @ SV28 ) @ SV193 )
= ( sK28_SY430 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ SV193 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ SV203 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ SV203 @ ( sK23_SY268 @ SV28 ) )
= ( sK28_SY430 @ SV28 ) )
= $false )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7996]) ).
thf(8013,plain,
! [SV205: $i,SV194: $i,SV28: $i] :
( ( ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ ( sK21_SY377 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ( k1_group_1 @ SV28 @ ( sK29_SY268 @ SV28 ) @ SV194 )
= ( sK33_SY443 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ SV194 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ SV205 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ SV205 @ ( sK29_SY268 @ SV28 ) )
= ( sK33_SY443 @ SV28 ) )
= $false )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7997]) ).
thf(8014,plain,
! [SV196: $i,SV28: $i,SV207: $i] :
( ( ( m1_subset_1 @ SV207 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ SV207 @ ( sK34_SY268 @ SV28 ) )
!= ( sK38_SY460 @ SV28 ) )
= $true )
| ( ( m1_subset_1 @ SV196 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ ( sK34_SY268 @ SV28 ) @ SV196 )
= ( sK38_SY460 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ ( sK24_SY389 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7998]) ).
thf(8015,plain,
! [SV195: $i,SV206: $i,SV28: $i] :
( ( ( ( k1_group_1 @ SV28 @ SV206 @ ( sK31_SY268 @ SV28 ) )
= ( sK36_SY454 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ SV206 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ SV195 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ ( sK31_SY268 @ SV28 ) @ SV195 )
= ( sK36_SY454 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( sK21_SY377 @ SV28 ) ) @ ( sK24_SY389 @ SV28 ) )
= ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( k1_group_1 @ SV28 @ ( sK21_SY377 @ SV28 ) @ ( sK24_SY389 @ SV28 ) ) ) )
= $false )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7999]) ).
thf(8016,plain,
! [SV134: $i,SV48: $i,SV201: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV201 )
| ~ ( v3_group_1 @ SV201 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV201 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV201 ) )
= $true )
| ( ( ~ ~ ( ~ ( r1_group_6 @ SV48 @ SV134 )
| ~ ( r1_group_6 @ SV134 @ SV201 ) )
| ( r1_group_6 @ SV48 @ SV201 ) )
= $true )
| ( ( v4_group_1 @ SV134 )
= $false )
| ( ( v3_struct_0 @ SV134 )
= $true )
| ( ( v3_group_1 @ SV134 )
= $false )
| ( ( l1_group_1 @ SV134 )
= $false )
| ( ( v4_group_1 @ SV48 )
= $false )
| ( ( v3_struct_0 @ SV48 )
= $true )
| ( ( v3_group_1 @ SV48 )
= $false )
| ( ( l1_group_1 @ SV48 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8000]) ).
thf(8017,plain,
! [SV184: $i,SV52: $i] :
( ( ( r1_group_6 @ SV52 @ SV184 )
= $false )
| ( ( r1_group_6 @ SV184 @ SV52 )
= $true )
| ( ( v4_group_1 @ SV184 )
= $false )
| ( ( v1_group_1 @ SV184 )
= $false )
| ( ( v3_struct_0 @ SV184 )
= $true )
| ( ( v3_group_1 @ SV184 )
= $false )
| ( ( l1_group_1 @ SV184 )
= $false )
| ( ( v4_group_1 @ SV52 )
= $false )
| ( ( v1_group_1 @ SV52 )
= $false )
| ( ( v3_struct_0 @ SV52 )
= $true )
| ( ( v3_group_1 @ SV52 )
= $false )
| ( ( l1_group_1 @ SV52 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8001]) ).
thf(8018,plain,
! [SV61: $i,SV87: $i] :
( ( ( l1_group_1 @ SV87 )
= $false )
| ( ( v3_group_1 @ SV87 )
= $false )
| ( ( v3_struct_0 @ SV87 )
= $true )
| ( ( v4_group_1 @ SV61 )
= $false )
| ( ( v1_group_1 @ SV61 )
= $false )
| ( ( v3_struct_0 @ SV61 )
= $true )
| ( ( v3_group_1 @ SV61 )
= $false )
| ( ( l1_group_1 @ SV61 )
= $false )
| ( ( v1_group_1 @ SV87 )
= $false )
| ( ( v4_group_1 @ SV87 )
= $false )
| ( ( ~ ( r2_group_6 @ SV61 @ SV87 )
| ( r2_group_6 @ SV87 @ SV61 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8002]) ).
thf(8019,plain,
! [SV197: $i,SV107: $i,SV70: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ SV107 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV107 @ ( sK27_SY387 @ SV107 @ SV70 ) )
= ( sK27_SY387 @ SV107 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SV107 )
= ( sK27_SY387 @ SV107 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SV197 )
= SV107 )
= $false )
| ( ( m1_subset_1 @ SV197 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV197 @ ( sK27_SY387 @ SV107 @ SV70 ) )
= SV107 )
= $false )
| ( ( m1_subset_1 @ ( sK14_SY342 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8003]) ).
thf(8020,plain,
! [SV197: $i,SV107: $i,SV70: $i] :
( ( ( l1_group_1 @ SV70 )
= $true )
| ( ( m1_subset_1 @ SV107 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV107 @ ( sK27_SY387 @ SV107 @ SV70 ) )
= ( sK27_SY387 @ SV107 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SV107 )
= ( sK27_SY387 @ SV107 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SV197 )
= SV107 )
= $false )
| ( ( m1_subset_1 @ SV197 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV197 @ ( sK27_SY387 @ SV107 @ SV70 ) )
= SV107 )
= $false )
| ( ( m1_subset_1 @ ( sK14_SY342 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8004]) ).
thf(8021,plain,
! [SV199: $i,SV146: $i,SV70: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV146 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV146 @ ( sK32_SY423 @ SV146 @ SV70 ) )
= ( sK32_SY423 @ SV146 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SV146 )
= ( sK32_SY423 @ SV146 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SV199 )
= SV146 )
= $false )
| ( ( m1_subset_1 @ SV199 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV199 @ ( sK32_SY423 @ SV146 @ SV70 ) )
= SV146 )
= $false )
| ( ( m1_subset_1 @ ( sK15_SY372 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8005]) ).
thf(8022,plain,
! [SV204: $i,SV153: $i,SV70: $i] :
( ( ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SV204 )
= SV153 )
= $false )
| ( ( m1_subset_1 @ SV204 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV204 @ ( sK37_SY436 @ SV153 @ SV70 ) )
!= SV153 )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SV153 )
= ( sK37_SY436 @ SV153 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV153 @ ( sK37_SY436 @ SV153 @ SV70 ) )
= ( sK37_SY436 @ SV153 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV153 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK20_SY376 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8006]) ).
thf(8023,plain,
! [SV152: $i,SV202: $i,SV70: $i] :
( ( ( ( k1_group_1 @ SV70 @ SV202 @ ( sK35_SY433 @ SV152 @ SV70 ) )
= SV152 )
= $false )
| ( ( m1_subset_1 @ SV202 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SV202 )
= SV152 )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SV152 )
= ( sK35_SY433 @ SV152 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV152 @ ( sK35_SY433 @ SV152 @ SV70 ) )
= ( sK35_SY433 @ SV152 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( sK15_SY372 @ SV70 ) ) @ ( sK20_SY376 @ SV70 ) )
= ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( k1_group_1 @ SV70 @ ( sK15_SY372 @ SV70 ) @ ( sK20_SY376 @ SV70 ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8007]) ).
thf(8024,plain,
! [SV179: $i,SV147: $i,SV71: $i] :
( ( ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV147 @ SV179 ) @ ( k3_group_1 @ SV71 @ SV179 ) )
!= SV147 )
= $false )
| ( ( m1_subset_1 @ SV179 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( m1_subset_1 @ SV147 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( v4_group_1 @ SV71 )
= $false )
| ( ( v3_struct_0 @ SV71 )
= $true )
| ( ( v3_group_1 @ SV71 )
= $false )
| ( ( l1_group_1 @ SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8008]) ).
thf(8025,plain,
! [SV179: $i,SV147: $i,SV71: $i] :
( ( ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV147 @ ( k3_group_1 @ SV71 @ SV179 ) ) @ SV179 )
!= SV147 )
= $false )
| ( ( m1_subset_1 @ SV179 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( m1_subset_1 @ SV147 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( v4_group_1 @ SV71 )
= $false )
| ( ( v3_struct_0 @ SV71 )
= $true )
| ( ( v3_group_1 @ SV71 )
= $false )
| ( ( l1_group_1 @ SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8008]) ).
thf(8026,plain,
! [SV72: $i,SV91: $i] :
( ( ( l1_group_1 @ SV91 )
= $false )
| ( ( v3_group_1 @ SV91 )
= $false )
| ( ( v3_struct_0 @ SV91 )
= $true )
| ( ( v4_group_1 @ SV72 )
= $false )
| ( ( v1_group_1 @ SV72 )
= $false )
| ( ( v3_struct_0 @ SV72 )
= $true )
| ( ( v3_group_1 @ SV72 )
= $false )
| ( ( l1_group_1 @ SV72 )
= $false )
| ( ( v1_group_1 @ SV91 )
= $false )
| ( ( v4_group_1 @ SV91 )
= $false )
| ( ( r2_group_6 @ SV72 @ SV72 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[8009]) ).
thf(8027,plain,
! [SV123: $i,SV26: $i,SV200: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV200 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV200 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV200 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV200 ) )
= $true )
| ( ( ~ ~ ( ~ ( m1_group_2 @ SV26 @ SV123 )
| ~ ( m1_group_2 @ SV123 @ SV200 ) )
| ( m1_group_2 @ SV26 @ SV200 ) )
= $true )
| ( ( v4_group_1 @ SV123 )
= $false )
| ( ( v3_struct_0 @ SV123 )
= $true )
| ( ( v3_group_1 @ SV123 )
= $false )
| ( ( l1_group_1 @ SV123 )
= $false )
| ( ( v4_group_1 @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( v3_group_1 @ SV26 )
= $false )
| ( ( l1_group_1 @ SV26 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[8010]) ).
thf(8028,plain,
! [SV205: $i,SV194: $i,SV28: $i] :
( ( ( ~ ( v4_group_1 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ ( sK21_SY377 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ( k1_group_1 @ SV28 @ ( sK29_SY268 @ SV28 ) @ SV194 )
= ( sK33_SY443 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ SV194 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ SV205 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ SV205 @ ( sK29_SY268 @ SV28 ) )
= ( sK33_SY443 @ SV28 ) )
= $false )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8013]) ).
thf(8029,plain,
! [SV205: $i,SV194: $i,SV28: $i] :
( ( ( ~ ( v3_group_1 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ ( sK21_SY377 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ( k1_group_1 @ SV28 @ ( sK29_SY268 @ SV28 ) @ SV194 )
= ( sK33_SY443 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ SV194 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ SV205 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ SV205 @ ( sK29_SY268 @ SV28 ) )
= ( sK33_SY443 @ SV28 ) )
= $false )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8013]) ).
thf(8030,plain,
! [SV196: $i,SV207: $i,SV28: $i] :
( ( ( ( k1_group_1 @ SV28 @ SV207 @ ( sK34_SY268 @ SV28 ) )
= ( sK38_SY460 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ SV207 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ SV196 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ ( sK34_SY268 @ SV28 ) @ SV196 )
= ( sK38_SY460 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ ( sK24_SY389 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) ) )
= $true )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8014]) ).
thf(8031,plain,
! [SV206: $i,SV195: $i,SV28: $i] :
( ( ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( sK21_SY377 @ SV28 ) ) @ ( sK24_SY389 @ SV28 ) )
= ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( k1_group_1 @ SV28 @ ( sK21_SY377 @ SV28 ) @ ( sK24_SY389 @ SV28 ) ) ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ ( sK31_SY268 @ SV28 ) @ SV195 )
= ( sK36_SY454 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ SV195 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ SV206 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ SV206 @ ( sK31_SY268 @ SV28 ) )
= ( sK36_SY454 @ SV28 ) )
= $false )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8015]) ).
thf(8032,plain,
! [SV134: $i,SV48: $i,SV201: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV201 ) )
= $true )
| ( ( ~ ( v3_group_1 @ SV201 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV201 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV201 ) )
= $true )
| ( ( ~ ~ ( ~ ( r1_group_6 @ SV48 @ SV134 )
| ~ ( r1_group_6 @ SV134 @ SV201 ) )
| ( r1_group_6 @ SV48 @ SV201 ) )
= $true )
| ( ( v4_group_1 @ SV134 )
= $false )
| ( ( v3_struct_0 @ SV134 )
= $true )
| ( ( v3_group_1 @ SV134 )
= $false )
| ( ( l1_group_1 @ SV134 )
= $false )
| ( ( v4_group_1 @ SV48 )
= $false )
| ( ( v3_struct_0 @ SV48 )
= $true )
| ( ( v3_group_1 @ SV48 )
= $false )
| ( ( l1_group_1 @ SV48 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[8016]) ).
thf(8033,plain,
! [SV87: $i,SV61: $i] :
( ( ( ~ ( r2_group_6 @ SV61 @ SV87 ) )
= $true )
| ( ( r2_group_6 @ SV87 @ SV61 )
= $true )
| ( ( v4_group_1 @ SV87 )
= $false )
| ( ( v1_group_1 @ SV87 )
= $false )
| ( ( l1_group_1 @ SV61 )
= $false )
| ( ( v3_group_1 @ SV61 )
= $false )
| ( ( v3_struct_0 @ SV61 )
= $true )
| ( ( v1_group_1 @ SV61 )
= $false )
| ( ( v4_group_1 @ SV61 )
= $false )
| ( ( v3_struct_0 @ SV87 )
= $true )
| ( ( v3_group_1 @ SV87 )
= $false )
| ( ( l1_group_1 @ SV87 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[8018]) ).
thf(8034,plain,
! [SV197: $i,SV107: $i,SV70: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV107 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV107 @ ( sK27_SY387 @ SV107 @ SV70 ) )
= ( sK27_SY387 @ SV107 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SV107 )
= ( sK27_SY387 @ SV107 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SV197 )
= SV107 )
= $false )
| ( ( m1_subset_1 @ SV197 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV197 @ ( sK27_SY387 @ SV107 @ SV70 ) )
= SV107 )
= $false )
| ( ( m1_subset_1 @ ( sK14_SY342 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8019]) ).
thf(8035,plain,
! [SV199: $i,SV146: $i,SV70: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) ) )
= $false )
| ( ( m1_subset_1 @ SV146 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV146 @ ( sK32_SY423 @ SV146 @ SV70 ) )
= ( sK32_SY423 @ SV146 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SV146 )
= ( sK32_SY423 @ SV146 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SV199 )
= SV146 )
= $false )
| ( ( m1_subset_1 @ SV199 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV199 @ ( sK32_SY423 @ SV146 @ SV70 ) )
= SV146 )
= $false )
| ( ( m1_subset_1 @ ( sK15_SY372 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8021]) ).
thf(8036,plain,
! [SV199: $i,SV146: $i,SV70: $i] :
( ( ( ~ ( l1_group_1 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV146 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV146 @ ( sK32_SY423 @ SV146 @ SV70 ) )
= ( sK32_SY423 @ SV146 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SV146 )
= ( sK32_SY423 @ SV146 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SV199 )
= SV146 )
= $false )
| ( ( m1_subset_1 @ SV199 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV199 @ ( sK32_SY423 @ SV146 @ SV70 ) )
= SV146 )
= $false )
| ( ( m1_subset_1 @ ( sK15_SY372 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8021]) ).
thf(8037,plain,
! [SV153: $i,SV204: $i,SV70: $i] :
( ( ( ( k1_group_1 @ SV70 @ SV204 @ ( sK37_SY436 @ SV153 @ SV70 ) )
= SV153 )
= $false )
| ( ( m1_subset_1 @ SV204 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SV204 )
= SV153 )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SV153 )
= ( sK37_SY436 @ SV153 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV153 @ ( sK37_SY436 @ SV153 @ SV70 ) )
= ( sK37_SY436 @ SV153 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV153 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ ( sK20_SY376 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8022]) ).
thf(8038,plain,
! [SV202: $i,SV152: $i,SV70: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV152 @ ( sK35_SY433 @ SV152 @ SV70 ) )
= ( sK35_SY433 @ SV152 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SV152 )
= ( sK35_SY433 @ SV152 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SV202 )
= SV152 )
= $false )
| ( ( m1_subset_1 @ SV202 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV202 @ ( sK35_SY433 @ SV152 @ SV70 ) )
= SV152 )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( sK15_SY372 @ SV70 ) ) @ ( sK20_SY376 @ SV70 ) )
= ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( k1_group_1 @ SV70 @ ( sK15_SY372 @ SV70 ) @ ( sK20_SY376 @ SV70 ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8023]) ).
thf(8039,plain,
! [SV179: $i,SV147: $i,SV71: $i] :
( ( ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV147 @ SV179 ) @ ( k3_group_1 @ SV71 @ SV179 ) )
= SV147 )
= $true )
| ( ( m1_subset_1 @ SV179 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( m1_subset_1 @ SV147 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( v4_group_1 @ SV71 )
= $false )
| ( ( v3_struct_0 @ SV71 )
= $true )
| ( ( v3_group_1 @ SV71 )
= $false )
| ( ( l1_group_1 @ SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8024]) ).
thf(8040,plain,
! [SV179: $i,SV147: $i,SV71: $i] :
( ( ( ( k1_group_1 @ SV71 @ ( k1_group_1 @ SV71 @ SV147 @ ( k3_group_1 @ SV71 @ SV179 ) ) @ SV179 )
= SV147 )
= $true )
| ( ( m1_subset_1 @ SV179 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( m1_subset_1 @ SV147 @ ( u1_struct_0 @ SV71 ) )
= $false )
| ( ( v4_group_1 @ SV71 )
= $false )
| ( ( v3_struct_0 @ SV71 )
= $true )
| ( ( v3_group_1 @ SV71 )
= $false )
| ( ( l1_group_1 @ SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8025]) ).
thf(8041,plain,
! [SV123: $i,SV26: $i,SV200: $i] :
( ( ( ~ ( v3_struct_0 @ SV200 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV200 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV200 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV200 ) )
= $true )
| ( ( ~ ~ ( ~ ( m1_group_2 @ SV26 @ SV123 )
| ~ ( m1_group_2 @ SV123 @ SV200 ) )
| ( m1_group_2 @ SV26 @ SV200 ) )
= $true )
| ( ( v4_group_1 @ SV123 )
= $false )
| ( ( v3_struct_0 @ SV123 )
= $true )
| ( ( v3_group_1 @ SV123 )
= $false )
| ( ( l1_group_1 @ SV123 )
= $false )
| ( ( v4_group_1 @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( v3_group_1 @ SV26 )
= $false )
| ( ( l1_group_1 @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8027]) ).
thf(8042,plain,
! [SV205: $i,SV194: $i,SV28: $i] :
( ( ( v4_group_1 @ SV28 )
= $true )
| ( ( m1_subset_1 @ ( sK21_SY377 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ( k1_group_1 @ SV28 @ ( sK29_SY268 @ SV28 ) @ SV194 )
= ( sK33_SY443 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ SV194 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ SV205 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ SV205 @ ( sK29_SY268 @ SV28 ) )
= ( sK33_SY443 @ SV28 ) )
= $false )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8028]) ).
thf(8043,plain,
! [SV205: $i,SV194: $i,SV28: $i] :
( ( ( v3_group_1 @ SV28 )
= $true )
| ( ( m1_subset_1 @ ( sK21_SY377 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ( k1_group_1 @ SV28 @ ( sK29_SY268 @ SV28 ) @ SV194 )
= ( sK33_SY443 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ SV194 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ SV205 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ SV205 @ ( sK29_SY268 @ SV28 ) )
= ( sK33_SY443 @ SV28 ) )
= $false )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8029]) ).
thf(8044,plain,
! [SV207: $i,SV196: $i,SV28: $i] :
( ( ( ~ ( v4_group_1 @ SV28 )
| ~ ( v3_group_1 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ ( sK24_SY389 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ( k1_group_1 @ SV28 @ ( sK34_SY268 @ SV28 ) @ SV196 )
= ( sK38_SY460 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ SV196 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ SV207 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ SV207 @ ( sK34_SY268 @ SV28 ) )
= ( sK38_SY460 @ SV28 ) )
= $false )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8030]) ).
thf(8045,plain,
! [SV206: $i,SV195: $i,SV28: $i] :
( ( ( ~ ( v4_group_1 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( sK21_SY377 @ SV28 ) ) @ ( sK24_SY389 @ SV28 ) )
= ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( k1_group_1 @ SV28 @ ( sK21_SY377 @ SV28 ) @ ( sK24_SY389 @ SV28 ) ) ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ ( sK31_SY268 @ SV28 ) @ SV195 )
= ( sK36_SY454 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ SV195 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ SV206 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ SV206 @ ( sK31_SY268 @ SV28 ) )
= ( sK36_SY454 @ SV28 ) )
= $false )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8031]) ).
thf(8046,plain,
! [SV206: $i,SV195: $i,SV28: $i] :
( ( ( ~ ( v3_group_1 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( sK21_SY377 @ SV28 ) ) @ ( sK24_SY389 @ SV28 ) )
= ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( k1_group_1 @ SV28 @ ( sK21_SY377 @ SV28 ) @ ( sK24_SY389 @ SV28 ) ) ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ ( sK31_SY268 @ SV28 ) @ SV195 )
= ( sK36_SY454 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ SV195 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ SV206 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ SV206 @ ( sK31_SY268 @ SV28 ) )
= ( sK36_SY454 @ SV28 ) )
= $false )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8031]) ).
thf(8047,plain,
! [SV134: $i,SV48: $i,SV201: $i] :
( ( ( ~ ( v3_struct_0 @ SV201 ) )
= $false )
| ( ( ~ ( v3_group_1 @ SV201 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV201 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV201 ) )
= $true )
| ( ( ~ ~ ( ~ ( r1_group_6 @ SV48 @ SV134 )
| ~ ( r1_group_6 @ SV134 @ SV201 ) )
| ( r1_group_6 @ SV48 @ SV201 ) )
= $true )
| ( ( v4_group_1 @ SV134 )
= $false )
| ( ( v3_struct_0 @ SV134 )
= $true )
| ( ( v3_group_1 @ SV134 )
= $false )
| ( ( l1_group_1 @ SV134 )
= $false )
| ( ( v4_group_1 @ SV48 )
= $false )
| ( ( v3_struct_0 @ SV48 )
= $true )
| ( ( v3_group_1 @ SV48 )
= $false )
| ( ( l1_group_1 @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8032]) ).
thf(8048,plain,
! [SV87: $i,SV61: $i] :
( ( ( r2_group_6 @ SV61 @ SV87 )
= $false )
| ( ( r2_group_6 @ SV87 @ SV61 )
= $true )
| ( ( v4_group_1 @ SV87 )
= $false )
| ( ( v1_group_1 @ SV87 )
= $false )
| ( ( l1_group_1 @ SV61 )
= $false )
| ( ( v3_group_1 @ SV61 )
= $false )
| ( ( v3_struct_0 @ SV61 )
= $true )
| ( ( v1_group_1 @ SV61 )
= $false )
| ( ( v4_group_1 @ SV61 )
= $false )
| ( ( v3_struct_0 @ SV87 )
= $true )
| ( ( v3_group_1 @ SV87 )
= $false )
| ( ( l1_group_1 @ SV87 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8033]) ).
thf(8049,plain,
! [SV197: $i,SV107: $i,SV70: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) ) )
= $false )
| ( ( m1_subset_1 @ SV107 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV107 @ ( sK27_SY387 @ SV107 @ SV70 ) )
= ( sK27_SY387 @ SV107 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SV107 )
= ( sK27_SY387 @ SV107 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SV197 )
= SV107 )
= $false )
| ( ( m1_subset_1 @ SV197 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV197 @ ( sK27_SY387 @ SV107 @ SV70 ) )
= SV107 )
= $false )
| ( ( m1_subset_1 @ ( sK14_SY342 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8034]) ).
thf(8050,plain,
! [SV197: $i,SV107: $i,SV70: $i] :
( ( ( ~ ( v4_group_1 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV107 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV107 @ ( sK27_SY387 @ SV107 @ SV70 ) )
= ( sK27_SY387 @ SV107 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SV107 )
= ( sK27_SY387 @ SV107 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SV197 )
= SV107 )
= $false )
| ( ( m1_subset_1 @ SV197 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV197 @ ( sK27_SY387 @ SV107 @ SV70 ) )
= SV107 )
= $false )
| ( ( m1_subset_1 @ ( sK14_SY342 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8034]) ).
thf(8051,plain,
! [SV199: $i,SV146: $i,SV70: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ SV146 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV146 @ ( sK32_SY423 @ SV146 @ SV70 ) )
= ( sK32_SY423 @ SV146 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SV146 )
= ( sK32_SY423 @ SV146 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SV199 )
= SV146 )
= $false )
| ( ( m1_subset_1 @ SV199 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV199 @ ( sK32_SY423 @ SV146 @ SV70 ) )
= SV146 )
= $false )
| ( ( m1_subset_1 @ ( sK15_SY372 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8035]) ).
thf(8052,plain,
! [SV199: $i,SV146: $i,SV70: $i] :
( ( ( l1_group_1 @ SV70 )
= $true )
| ( ( m1_subset_1 @ SV146 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV146 @ ( sK32_SY423 @ SV146 @ SV70 ) )
= ( sK32_SY423 @ SV146 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SV146 )
= ( sK32_SY423 @ SV146 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SV199 )
= SV146 )
= $false )
| ( ( m1_subset_1 @ SV199 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV199 @ ( sK32_SY423 @ SV146 @ SV70 ) )
= SV146 )
= $false )
| ( ( m1_subset_1 @ ( sK15_SY372 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8036]) ).
thf(8053,plain,
! [SV204: $i,SV153: $i,SV70: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
| ~ ( l1_group_1 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV153 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV153 @ ( sK37_SY436 @ SV153 @ SV70 ) )
= ( sK37_SY436 @ SV153 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SV153 )
= ( sK37_SY436 @ SV153 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SV204 )
= SV153 )
= $false )
| ( ( m1_subset_1 @ SV204 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV204 @ ( sK37_SY436 @ SV153 @ SV70 ) )
= SV153 )
= $false )
| ( ( m1_subset_1 @ ( sK20_SY376 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8037]) ).
thf(8054,plain,
! [SV202: $i,SV152: $i,SV70: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) ) )
= $false )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV152 @ ( sK35_SY433 @ SV152 @ SV70 ) )
= ( sK35_SY433 @ SV152 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SV152 )
= ( sK35_SY433 @ SV152 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SV202 )
= SV152 )
= $false )
| ( ( m1_subset_1 @ SV202 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV202 @ ( sK35_SY433 @ SV152 @ SV70 ) )
= SV152 )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( sK15_SY372 @ SV70 ) ) @ ( sK20_SY376 @ SV70 ) )
= ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( k1_group_1 @ SV70 @ ( sK15_SY372 @ SV70 ) @ ( sK20_SY376 @ SV70 ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8038]) ).
thf(8055,plain,
! [SV202: $i,SV152: $i,SV70: $i] :
( ( ( ~ ( l1_group_1 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV152 @ ( sK35_SY433 @ SV152 @ SV70 ) )
= ( sK35_SY433 @ SV152 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SV152 )
= ( sK35_SY433 @ SV152 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SV202 )
= SV152 )
= $false )
| ( ( m1_subset_1 @ SV202 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV202 @ ( sK35_SY433 @ SV152 @ SV70 ) )
= SV152 )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( sK15_SY372 @ SV70 ) ) @ ( sK20_SY376 @ SV70 ) )
= ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( k1_group_1 @ SV70 @ ( sK15_SY372 @ SV70 ) @ ( sK20_SY376 @ SV70 ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8038]) ).
thf(8056,plain,
! [SV123: $i,SV26: $i,SV200: $i] :
( ( ( v3_struct_0 @ SV200 )
= $true )
| ( ( ~ ( v3_group_1 @ SV200 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV200 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV200 ) )
= $true )
| ( ( ~ ~ ( ~ ( m1_group_2 @ SV26 @ SV123 )
| ~ ( m1_group_2 @ SV123 @ SV200 ) )
| ( m1_group_2 @ SV26 @ SV200 ) )
= $true )
| ( ( v4_group_1 @ SV123 )
= $false )
| ( ( v3_struct_0 @ SV123 )
= $true )
| ( ( v3_group_1 @ SV123 )
= $false )
| ( ( l1_group_1 @ SV123 )
= $false )
| ( ( v4_group_1 @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( v3_group_1 @ SV26 )
= $false )
| ( ( l1_group_1 @ SV26 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8041]) ).
thf(8057,plain,
! [SV207: $i,SV196: $i,SV28: $i] :
( ( ( ~ ( v4_group_1 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ ( sK24_SY389 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ( k1_group_1 @ SV28 @ ( sK34_SY268 @ SV28 ) @ SV196 )
= ( sK38_SY460 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ SV196 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ SV207 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ SV207 @ ( sK34_SY268 @ SV28 ) )
= ( sK38_SY460 @ SV28 ) )
= $false )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8044]) ).
thf(8058,plain,
! [SV207: $i,SV196: $i,SV28: $i] :
( ( ( ~ ( v3_group_1 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ ( sK24_SY389 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ( k1_group_1 @ SV28 @ ( sK34_SY268 @ SV28 ) @ SV196 )
= ( sK38_SY460 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ SV196 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ SV207 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ SV207 @ ( sK34_SY268 @ SV28 ) )
= ( sK38_SY460 @ SV28 ) )
= $false )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8044]) ).
thf(8059,plain,
! [SV206: $i,SV195: $i,SV28: $i] :
( ( ( v4_group_1 @ SV28 )
= $true )
| ( ( ( k1_group_1 @ SV28 @ ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( sK21_SY377 @ SV28 ) ) @ ( sK24_SY389 @ SV28 ) )
= ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( k1_group_1 @ SV28 @ ( sK21_SY377 @ SV28 ) @ ( sK24_SY389 @ SV28 ) ) ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ ( sK31_SY268 @ SV28 ) @ SV195 )
= ( sK36_SY454 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ SV195 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ SV206 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ SV206 @ ( sK31_SY268 @ SV28 ) )
= ( sK36_SY454 @ SV28 ) )
= $false )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8045]) ).
thf(8060,plain,
! [SV206: $i,SV195: $i,SV28: $i] :
( ( ( v3_group_1 @ SV28 )
= $true )
| ( ( ( k1_group_1 @ SV28 @ ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( sK21_SY377 @ SV28 ) ) @ ( sK24_SY389 @ SV28 ) )
= ( k1_group_1 @ SV28 @ ( sK16_SY265 @ SV28 ) @ ( k1_group_1 @ SV28 @ ( sK21_SY377 @ SV28 ) @ ( sK24_SY389 @ SV28 ) ) ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ ( sK31_SY268 @ SV28 ) @ SV195 )
= ( sK36_SY454 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ SV195 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ SV206 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ SV206 @ ( sK31_SY268 @ SV28 ) )
= ( sK36_SY454 @ SV28 ) )
= $false )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8046]) ).
thf(8061,plain,
! [SV134: $i,SV48: $i,SV201: $i] :
( ( ( v3_struct_0 @ SV201 )
= $true )
| ( ( ~ ( v3_group_1 @ SV201 ) )
= $true )
| ( ( ~ ( v4_group_1 @ SV201 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV201 ) )
= $true )
| ( ( ~ ~ ( ~ ( r1_group_6 @ SV48 @ SV134 )
| ~ ( r1_group_6 @ SV134 @ SV201 ) )
| ( r1_group_6 @ SV48 @ SV201 ) )
= $true )
| ( ( v4_group_1 @ SV134 )
= $false )
| ( ( v3_struct_0 @ SV134 )
= $true )
| ( ( v3_group_1 @ SV134 )
= $false )
| ( ( l1_group_1 @ SV134 )
= $false )
| ( ( v4_group_1 @ SV48 )
= $false )
| ( ( v3_struct_0 @ SV48 )
= $true )
| ( ( v3_group_1 @ SV48 )
= $false )
| ( ( l1_group_1 @ SV48 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8047]) ).
thf(8062,plain,
! [SV197: $i,SV107: $i,SV70: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ SV107 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV107 @ ( sK27_SY387 @ SV107 @ SV70 ) )
= ( sK27_SY387 @ SV107 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SV107 )
= ( sK27_SY387 @ SV107 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SV197 )
= SV107 )
= $false )
| ( ( m1_subset_1 @ SV197 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV197 @ ( sK27_SY387 @ SV107 @ SV70 ) )
= SV107 )
= $false )
| ( ( m1_subset_1 @ ( sK14_SY342 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8049]) ).
thf(8063,plain,
! [SV197: $i,SV107: $i,SV70: $i] :
( ( ( v4_group_1 @ SV70 )
= $true )
| ( ( m1_subset_1 @ SV107 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV107 @ ( sK27_SY387 @ SV107 @ SV70 ) )
= ( sK27_SY387 @ SV107 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SV107 )
= ( sK27_SY387 @ SV107 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SV197 )
= SV107 )
= $false )
| ( ( m1_subset_1 @ SV197 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV197 @ ( sK27_SY387 @ SV107 @ SV70 ) )
= SV107 )
= $false )
| ( ( m1_subset_1 @ ( sK14_SY342 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8050]) ).
thf(8064,plain,
! [SV199: $i,SV146: $i,SV70: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV146 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV146 @ ( sK32_SY423 @ SV146 @ SV70 ) )
= ( sK32_SY423 @ SV146 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SV146 )
= ( sK32_SY423 @ SV146 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SV199 )
= SV146 )
= $false )
| ( ( m1_subset_1 @ SV199 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV199 @ ( sK32_SY423 @ SV146 @ SV70 ) )
= SV146 )
= $false )
| ( ( m1_subset_1 @ ( sK15_SY372 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8051]) ).
thf(8065,plain,
! [SV204: $i,SV153: $i,SV70: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) ) )
= $false )
| ( ( m1_subset_1 @ SV153 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV153 @ ( sK37_SY436 @ SV153 @ SV70 ) )
= ( sK37_SY436 @ SV153 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SV153 )
= ( sK37_SY436 @ SV153 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SV204 )
= SV153 )
= $false )
| ( ( m1_subset_1 @ SV204 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV204 @ ( sK37_SY436 @ SV153 @ SV70 ) )
= SV153 )
= $false )
| ( ( m1_subset_1 @ ( sK20_SY376 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8053]) ).
thf(8066,plain,
! [SV204: $i,SV153: $i,SV70: $i] :
( ( ( ~ ( l1_group_1 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV153 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV153 @ ( sK37_SY436 @ SV153 @ SV70 ) )
= ( sK37_SY436 @ SV153 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SV153 )
= ( sK37_SY436 @ SV153 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SV204 )
= SV153 )
= $false )
| ( ( m1_subset_1 @ SV204 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV204 @ ( sK37_SY436 @ SV153 @ SV70 ) )
= SV153 )
= $false )
| ( ( m1_subset_1 @ ( sK20_SY376 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8053]) ).
thf(8067,plain,
! [SV202: $i,SV152: $i,SV70: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV152 @ ( sK35_SY433 @ SV152 @ SV70 ) )
= ( sK35_SY433 @ SV152 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SV152 )
= ( sK35_SY433 @ SV152 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SV202 )
= SV152 )
= $false )
| ( ( m1_subset_1 @ SV202 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV202 @ ( sK35_SY433 @ SV152 @ SV70 ) )
= SV152 )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( sK15_SY372 @ SV70 ) ) @ ( sK20_SY376 @ SV70 ) )
= ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( k1_group_1 @ SV70 @ ( sK15_SY372 @ SV70 ) @ ( sK20_SY376 @ SV70 ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8054]) ).
thf(8068,plain,
! [SV202: $i,SV152: $i,SV70: $i] :
( ( ( l1_group_1 @ SV70 )
= $true )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV152 @ ( sK35_SY433 @ SV152 @ SV70 ) )
= ( sK35_SY433 @ SV152 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SV152 )
= ( sK35_SY433 @ SV152 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SV202 )
= SV152 )
= $false )
| ( ( m1_subset_1 @ SV202 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV202 @ ( sK35_SY433 @ SV152 @ SV70 ) )
= SV152 )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( sK15_SY372 @ SV70 ) ) @ ( sK20_SY376 @ SV70 ) )
= ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( k1_group_1 @ SV70 @ ( sK15_SY372 @ SV70 ) @ ( sK20_SY376 @ SV70 ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8055]) ).
thf(8069,plain,
! [SV123: $i,SV26: $i,SV200: $i] :
( ( ( v3_group_1 @ SV200 )
= $false )
| ( ( v3_struct_0 @ SV200 )
= $true )
| ( ( ~ ( v4_group_1 @ SV200 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV200 ) )
= $true )
| ( ( ~ ~ ( ~ ( m1_group_2 @ SV26 @ SV123 )
| ~ ( m1_group_2 @ SV123 @ SV200 ) )
| ( m1_group_2 @ SV26 @ SV200 ) )
= $true )
| ( ( v4_group_1 @ SV123 )
= $false )
| ( ( v3_struct_0 @ SV123 )
= $true )
| ( ( v3_group_1 @ SV123 )
= $false )
| ( ( l1_group_1 @ SV123 )
= $false )
| ( ( v4_group_1 @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( v3_group_1 @ SV26 )
= $false )
| ( ( l1_group_1 @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8056]) ).
thf(8070,plain,
! [SV207: $i,SV196: $i,SV28: $i] :
( ( ( v4_group_1 @ SV28 )
= $true )
| ( ( m1_subset_1 @ ( sK24_SY389 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ( k1_group_1 @ SV28 @ ( sK34_SY268 @ SV28 ) @ SV196 )
= ( sK38_SY460 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ SV196 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ SV207 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ SV207 @ ( sK34_SY268 @ SV28 ) )
= ( sK38_SY460 @ SV28 ) )
= $false )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8057]) ).
thf(8071,plain,
! [SV207: $i,SV196: $i,SV28: $i] :
( ( ( v3_group_1 @ SV28 )
= $true )
| ( ( m1_subset_1 @ ( sK24_SY389 @ SV28 ) @ ( u1_struct_0 @ SV28 ) )
= $true )
| ( ( ( k1_group_1 @ SV28 @ ( sK34_SY268 @ SV28 ) @ SV196 )
= ( sK38_SY460 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ SV196 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( m1_subset_1 @ SV207 @ ( u1_struct_0 @ SV28 ) )
= $false )
| ( ( ( k1_group_1 @ SV28 @ SV207 @ ( sK34_SY268 @ SV28 ) )
= ( sK38_SY460 @ SV28 ) )
= $false )
| ( ( v3_struct_0 @ SV28 )
= $true )
| ( ( l1_group_1 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8058]) ).
thf(8072,plain,
! [SV134: $i,SV48: $i,SV201: $i] :
( ( ( v3_group_1 @ SV201 )
= $false )
| ( ( v3_struct_0 @ SV201 )
= $true )
| ( ( ~ ( v4_group_1 @ SV201 ) )
= $true )
| ( ( ~ ( l1_group_1 @ SV201 ) )
= $true )
| ( ( ~ ~ ( ~ ( r1_group_6 @ SV48 @ SV134 )
| ~ ( r1_group_6 @ SV134 @ SV201 ) )
| ( r1_group_6 @ SV48 @ SV201 ) )
= $true )
| ( ( v4_group_1 @ SV134 )
= $false )
| ( ( v3_struct_0 @ SV134 )
= $true )
| ( ( v3_group_1 @ SV134 )
= $false )
| ( ( l1_group_1 @ SV134 )
= $false )
| ( ( v4_group_1 @ SV48 )
= $false )
| ( ( v3_struct_0 @ SV48 )
= $true )
| ( ( v3_group_1 @ SV48 )
= $false )
| ( ( l1_group_1 @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8061]) ).
thf(8073,plain,
! [SV197: $i,SV107: $i,SV70: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV107 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV107 @ ( sK27_SY387 @ SV107 @ SV70 ) )
= ( sK27_SY387 @ SV107 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SV107 )
= ( sK27_SY387 @ SV107 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SV197 )
= SV107 )
= $false )
| ( ( m1_subset_1 @ SV197 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV197 @ ( sK27_SY387 @ SV107 @ SV70 ) )
= SV107 )
= $false )
| ( ( m1_subset_1 @ ( sK14_SY342 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8062]) ).
thf(8074,plain,
! [SV199: $i,SV146: $i,SV70: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) ) )
= $false )
| ( ( m1_subset_1 @ SV146 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV146 @ ( sK32_SY423 @ SV146 @ SV70 ) )
= ( sK32_SY423 @ SV146 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SV146 )
= ( sK32_SY423 @ SV146 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SV199 )
= SV146 )
= $false )
| ( ( m1_subset_1 @ SV199 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV199 @ ( sK32_SY423 @ SV146 @ SV70 ) )
= SV146 )
= $false )
| ( ( m1_subset_1 @ ( sK15_SY372 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8064]) ).
thf(8075,plain,
! [SV199: $i,SV146: $i,SV70: $i] :
( ( ( ~ ( v4_group_1 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV146 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV146 @ ( sK32_SY423 @ SV146 @ SV70 ) )
= ( sK32_SY423 @ SV146 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SV146 )
= ( sK32_SY423 @ SV146 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SV199 )
= SV146 )
= $false )
| ( ( m1_subset_1 @ SV199 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV199 @ ( sK32_SY423 @ SV146 @ SV70 ) )
= SV146 )
= $false )
| ( ( m1_subset_1 @ ( sK15_SY372 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8064]) ).
thf(8076,plain,
! [SV204: $i,SV153: $i,SV70: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ SV153 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV153 @ ( sK37_SY436 @ SV153 @ SV70 ) )
= ( sK37_SY436 @ SV153 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SV153 )
= ( sK37_SY436 @ SV153 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SV204 )
= SV153 )
= $false )
| ( ( m1_subset_1 @ SV204 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV204 @ ( sK37_SY436 @ SV153 @ SV70 ) )
= SV153 )
= $false )
| ( ( m1_subset_1 @ ( sK20_SY376 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8065]) ).
thf(8077,plain,
! [SV204: $i,SV153: $i,SV70: $i] :
( ( ( l1_group_1 @ SV70 )
= $true )
| ( ( m1_subset_1 @ SV153 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV153 @ ( sK37_SY436 @ SV153 @ SV70 ) )
= ( sK37_SY436 @ SV153 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SV153 )
= ( sK37_SY436 @ SV153 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SV204 )
= SV153 )
= $false )
| ( ( m1_subset_1 @ SV204 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV204 @ ( sK37_SY436 @ SV153 @ SV70 ) )
= SV153 )
= $false )
| ( ( m1_subset_1 @ ( sK20_SY376 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8066]) ).
thf(8078,plain,
! [SV202: $i,SV152: $i,SV70: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV152 @ ( sK35_SY433 @ SV152 @ SV70 ) )
= ( sK35_SY433 @ SV152 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SV152 )
= ( sK35_SY433 @ SV152 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SV202 )
= SV152 )
= $false )
| ( ( m1_subset_1 @ SV202 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV202 @ ( sK35_SY433 @ SV152 @ SV70 ) )
= SV152 )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( sK15_SY372 @ SV70 ) ) @ ( sK20_SY376 @ SV70 ) )
= ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( k1_group_1 @ SV70 @ ( sK15_SY372 @ SV70 ) @ ( sK20_SY376 @ SV70 ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8067]) ).
thf(8079,plain,
! [SV123: $i,SV26: $i,SV200: $i] :
( ( ( v4_group_1 @ SV200 )
= $false )
| ( ( v3_struct_0 @ SV200 )
= $true )
| ( ( v3_group_1 @ SV200 )
= $false )
| ( ( ~ ( l1_group_1 @ SV200 ) )
= $true )
| ( ( ~ ~ ( ~ ( m1_group_2 @ SV26 @ SV123 )
| ~ ( m1_group_2 @ SV123 @ SV200 ) )
| ( m1_group_2 @ SV26 @ SV200 ) )
= $true )
| ( ( v4_group_1 @ SV123 )
= $false )
| ( ( v3_struct_0 @ SV123 )
= $true )
| ( ( v3_group_1 @ SV123 )
= $false )
| ( ( l1_group_1 @ SV123 )
= $false )
| ( ( v4_group_1 @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( v3_group_1 @ SV26 )
= $false )
| ( ( l1_group_1 @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8069]) ).
thf(8080,plain,
! [SV134: $i,SV48: $i,SV201: $i] :
( ( ( v4_group_1 @ SV201 )
= $false )
| ( ( v3_struct_0 @ SV201 )
= $true )
| ( ( v3_group_1 @ SV201 )
= $false )
| ( ( ~ ( l1_group_1 @ SV201 ) )
= $true )
| ( ( ~ ~ ( ~ ( r1_group_6 @ SV48 @ SV134 )
| ~ ( r1_group_6 @ SV134 @ SV201 ) )
| ( r1_group_6 @ SV48 @ SV201 ) )
= $true )
| ( ( v4_group_1 @ SV134 )
= $false )
| ( ( v3_struct_0 @ SV134 )
= $true )
| ( ( v3_group_1 @ SV134 )
= $false )
| ( ( l1_group_1 @ SV134 )
= $false )
| ( ( v4_group_1 @ SV48 )
= $false )
| ( ( v3_struct_0 @ SV48 )
= $true )
| ( ( v3_group_1 @ SV48 )
= $false )
| ( ( l1_group_1 @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8072]) ).
thf(8081,plain,
! [SV197: $i,SV107: $i,SV70: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV107 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV107 @ ( sK27_SY387 @ SV107 @ SV70 ) )
= ( sK27_SY387 @ SV107 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SV107 )
= ( sK27_SY387 @ SV107 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SV197 )
= SV107 )
= $false )
| ( ( m1_subset_1 @ SV197 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV197 @ ( sK27_SY387 @ SV107 @ SV70 ) )
= SV107 )
= $false )
| ( ( m1_subset_1 @ ( sK14_SY342 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8073]) ).
thf(8082,plain,
! [SV197: $i,SV107: $i,SV70: $i] :
( ( ( ~ ( v3_group_1 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV107 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV107 @ ( sK27_SY387 @ SV107 @ SV70 ) )
= ( sK27_SY387 @ SV107 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SV107 )
= ( sK27_SY387 @ SV107 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SV197 )
= SV107 )
= $false )
| ( ( m1_subset_1 @ SV197 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV197 @ ( sK27_SY387 @ SV107 @ SV70 ) )
= SV107 )
= $false )
| ( ( m1_subset_1 @ ( sK14_SY342 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8073]) ).
thf(8083,plain,
! [SV199: $i,SV146: $i,SV70: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ SV146 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV146 @ ( sK32_SY423 @ SV146 @ SV70 ) )
= ( sK32_SY423 @ SV146 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SV146 )
= ( sK32_SY423 @ SV146 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SV199 )
= SV146 )
= $false )
| ( ( m1_subset_1 @ SV199 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV199 @ ( sK32_SY423 @ SV146 @ SV70 ) )
= SV146 )
= $false )
| ( ( m1_subset_1 @ ( sK15_SY372 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8074]) ).
thf(8084,plain,
! [SV199: $i,SV146: $i,SV70: $i] :
( ( ( v4_group_1 @ SV70 )
= $true )
| ( ( m1_subset_1 @ SV146 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV146 @ ( sK32_SY423 @ SV146 @ SV70 ) )
= ( sK32_SY423 @ SV146 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SV146 )
= ( sK32_SY423 @ SV146 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SV199 )
= SV146 )
= $false )
| ( ( m1_subset_1 @ SV199 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV199 @ ( sK32_SY423 @ SV146 @ SV70 ) )
= SV146 )
= $false )
| ( ( m1_subset_1 @ ( sK15_SY372 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8075]) ).
thf(8085,plain,
! [SV204: $i,SV153: $i,SV70: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
| ~ ( v4_group_1 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV153 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV153 @ ( sK37_SY436 @ SV153 @ SV70 ) )
= ( sK37_SY436 @ SV153 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SV153 )
= ( sK37_SY436 @ SV153 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SV204 )
= SV153 )
= $false )
| ( ( m1_subset_1 @ SV204 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV204 @ ( sK37_SY436 @ SV153 @ SV70 ) )
= SV153 )
= $false )
| ( ( m1_subset_1 @ ( sK20_SY376 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8076]) ).
thf(8086,plain,
! [SV202: $i,SV152: $i,SV70: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) ) )
= $false )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV152 @ ( sK35_SY433 @ SV152 @ SV70 ) )
= ( sK35_SY433 @ SV152 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SV152 )
= ( sK35_SY433 @ SV152 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SV202 )
= SV152 )
= $false )
| ( ( m1_subset_1 @ SV202 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV202 @ ( sK35_SY433 @ SV152 @ SV70 ) )
= SV152 )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( sK15_SY372 @ SV70 ) ) @ ( sK20_SY376 @ SV70 ) )
= ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( k1_group_1 @ SV70 @ ( sK15_SY372 @ SV70 ) @ ( sK20_SY376 @ SV70 ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8078]) ).
thf(8087,plain,
! [SV202: $i,SV152: $i,SV70: $i] :
( ( ( ~ ( v4_group_1 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV152 @ ( sK35_SY433 @ SV152 @ SV70 ) )
= ( sK35_SY433 @ SV152 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SV152 )
= ( sK35_SY433 @ SV152 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SV202 )
= SV152 )
= $false )
| ( ( m1_subset_1 @ SV202 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV202 @ ( sK35_SY433 @ SV152 @ SV70 ) )
= SV152 )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( sK15_SY372 @ SV70 ) ) @ ( sK20_SY376 @ SV70 ) )
= ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( k1_group_1 @ SV70 @ ( sK15_SY372 @ SV70 ) @ ( sK20_SY376 @ SV70 ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8078]) ).
thf(8088,plain,
! [SV123: $i,SV26: $i,SV200: $i] :
( ( ( l1_group_1 @ SV200 )
= $false )
| ( ( v3_group_1 @ SV200 )
= $false )
| ( ( v3_struct_0 @ SV200 )
= $true )
| ( ( v4_group_1 @ SV200 )
= $false )
| ( ( ~ ~ ( ~ ( m1_group_2 @ SV26 @ SV123 )
| ~ ( m1_group_2 @ SV123 @ SV200 ) )
| ( m1_group_2 @ SV26 @ SV200 ) )
= $true )
| ( ( v4_group_1 @ SV123 )
= $false )
| ( ( v3_struct_0 @ SV123 )
= $true )
| ( ( v3_group_1 @ SV123 )
= $false )
| ( ( l1_group_1 @ SV123 )
= $false )
| ( ( v4_group_1 @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( v3_group_1 @ SV26 )
= $false )
| ( ( l1_group_1 @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8079]) ).
thf(8089,plain,
! [SV134: $i,SV48: $i,SV201: $i] :
( ( ( l1_group_1 @ SV201 )
= $false )
| ( ( v3_group_1 @ SV201 )
= $false )
| ( ( v3_struct_0 @ SV201 )
= $true )
| ( ( v4_group_1 @ SV201 )
= $false )
| ( ( ~ ~ ( ~ ( r1_group_6 @ SV48 @ SV134 )
| ~ ( r1_group_6 @ SV134 @ SV201 ) )
| ( r1_group_6 @ SV48 @ SV201 ) )
= $true )
| ( ( v4_group_1 @ SV134 )
= $false )
| ( ( v3_struct_0 @ SV134 )
= $true )
| ( ( v3_group_1 @ SV134 )
= $false )
| ( ( l1_group_1 @ SV134 )
= $false )
| ( ( v4_group_1 @ SV48 )
= $false )
| ( ( v3_struct_0 @ SV48 )
= $true )
| ( ( v3_group_1 @ SV48 )
= $false )
| ( ( l1_group_1 @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8080]) ).
thf(8090,plain,
! [SV197: $i,SV107: $i,SV70: $i] :
( ( ( ~ ( v3_struct_0 @ SV70 ) )
= $true )
| ( ( m1_subset_1 @ SV107 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV107 @ ( sK27_SY387 @ SV107 @ SV70 ) )
= ( sK27_SY387 @ SV107 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SV107 )
= ( sK27_SY387 @ SV107 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SV197 )
= SV107 )
= $false )
| ( ( m1_subset_1 @ SV197 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV197 @ ( sK27_SY387 @ SV107 @ SV70 ) )
= SV107 )
= $false )
| ( ( m1_subset_1 @ ( sK14_SY342 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8081]) ).
thf(8091,plain,
! [SV197: $i,SV107: $i,SV70: $i] :
( ( ( v3_group_1 @ SV70 )
= $true )
| ( ( m1_subset_1 @ SV107 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV107 @ ( sK27_SY387 @ SV107 @ SV70 ) )
= ( sK27_SY387 @ SV107 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SV107 )
= ( sK27_SY387 @ SV107 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SV197 )
= SV107 )
= $false )
| ( ( m1_subset_1 @ SV197 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV197 @ ( sK27_SY387 @ SV107 @ SV70 ) )
= SV107 )
= $false )
| ( ( m1_subset_1 @ ( sK14_SY342 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8082]) ).
thf(8092,plain,
! [SV199: $i,SV146: $i,SV70: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV146 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV146 @ ( sK32_SY423 @ SV146 @ SV70 ) )
= ( sK32_SY423 @ SV146 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SV146 )
= ( sK32_SY423 @ SV146 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SV199 )
= SV146 )
= $false )
| ( ( m1_subset_1 @ SV199 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV199 @ ( sK32_SY423 @ SV146 @ SV70 ) )
= SV146 )
= $false )
| ( ( m1_subset_1 @ ( sK15_SY372 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8083]) ).
thf(8093,plain,
! [SV204: $i,SV153: $i,SV70: $i] :
( ( ( ~ ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) ) )
= $false )
| ( ( m1_subset_1 @ SV153 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV153 @ ( sK37_SY436 @ SV153 @ SV70 ) )
= ( sK37_SY436 @ SV153 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SV153 )
= ( sK37_SY436 @ SV153 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SV204 )
= SV153 )
= $false )
| ( ( m1_subset_1 @ SV204 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV204 @ ( sK37_SY436 @ SV153 @ SV70 ) )
= SV153 )
= $false )
| ( ( m1_subset_1 @ ( sK20_SY376 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8085]) ).
thf(8094,plain,
! [SV204: $i,SV153: $i,SV70: $i] :
( ( ( ~ ( v4_group_1 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV153 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV153 @ ( sK37_SY436 @ SV153 @ SV70 ) )
= ( sK37_SY436 @ SV153 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SV153 )
= ( sK37_SY436 @ SV153 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SV204 )
= SV153 )
= $false )
| ( ( m1_subset_1 @ SV204 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV204 @ ( sK37_SY436 @ SV153 @ SV70 ) )
= SV153 )
= $false )
| ( ( m1_subset_1 @ ( sK20_SY376 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8085]) ).
thf(8095,plain,
! [SV202: $i,SV152: $i,SV70: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV152 @ ( sK35_SY433 @ SV152 @ SV70 ) )
= ( sK35_SY433 @ SV152 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SV152 )
= ( sK35_SY433 @ SV152 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SV202 )
= SV152 )
= $false )
| ( ( m1_subset_1 @ SV202 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV202 @ ( sK35_SY433 @ SV152 @ SV70 ) )
= SV152 )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( sK15_SY372 @ SV70 ) ) @ ( sK20_SY376 @ SV70 ) )
= ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( k1_group_1 @ SV70 @ ( sK15_SY372 @ SV70 ) @ ( sK20_SY376 @ SV70 ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8086]) ).
thf(8096,plain,
! [SV202: $i,SV152: $i,SV70: $i] :
( ( ( v4_group_1 @ SV70 )
= $true )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV152 @ ( sK35_SY433 @ SV152 @ SV70 ) )
= ( sK35_SY433 @ SV152 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SV152 )
= ( sK35_SY433 @ SV152 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SV202 )
= SV152 )
= $false )
| ( ( m1_subset_1 @ SV202 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV202 @ ( sK35_SY433 @ SV152 @ SV70 ) )
= SV152 )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( sK15_SY372 @ SV70 ) ) @ ( sK20_SY376 @ SV70 ) )
= ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( k1_group_1 @ SV70 @ ( sK15_SY372 @ SV70 ) @ ( sK20_SY376 @ SV70 ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8087]) ).
thf(8097,plain,
! [SV200: $i,SV123: $i,SV26: $i] :
( ( ( ~ ~ ( ~ ( m1_group_2 @ SV26 @ SV123 )
| ~ ( m1_group_2 @ SV123 @ SV200 ) ) )
= $true )
| ( ( m1_group_2 @ SV26 @ SV200 )
= $true )
| ( ( v4_group_1 @ SV200 )
= $false )
| ( ( v3_struct_0 @ SV200 )
= $true )
| ( ( v3_group_1 @ SV200 )
= $false )
| ( ( l1_group_1 @ SV200 )
= $false )
| ( ( v4_group_1 @ SV123 )
= $false )
| ( ( v3_struct_0 @ SV123 )
= $true )
| ( ( v3_group_1 @ SV123 )
= $false )
| ( ( l1_group_1 @ SV123 )
= $false )
| ( ( v4_group_1 @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( v3_group_1 @ SV26 )
= $false )
| ( ( l1_group_1 @ SV26 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[8088]) ).
thf(8098,plain,
! [SV201: $i,SV134: $i,SV48: $i] :
( ( ( ~ ~ ( ~ ( r1_group_6 @ SV48 @ SV134 )
| ~ ( r1_group_6 @ SV134 @ SV201 ) ) )
= $true )
| ( ( r1_group_6 @ SV48 @ SV201 )
= $true )
| ( ( v4_group_1 @ SV201 )
= $false )
| ( ( v3_struct_0 @ SV201 )
= $true )
| ( ( v3_group_1 @ SV201 )
= $false )
| ( ( l1_group_1 @ SV201 )
= $false )
| ( ( v4_group_1 @ SV134 )
= $false )
| ( ( v3_struct_0 @ SV134 )
= $true )
| ( ( v3_group_1 @ SV134 )
= $false )
| ( ( l1_group_1 @ SV134 )
= $false )
| ( ( v4_group_1 @ SV48 )
= $false )
| ( ( v3_struct_0 @ SV48 )
= $true )
| ( ( v3_group_1 @ SV48 )
= $false )
| ( ( l1_group_1 @ SV48 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[8089]) ).
thf(8099,plain,
! [SV197: $i,SV107: $i,SV70: $i] :
( ( ( v3_struct_0 @ SV70 )
= $false )
| ( ( m1_subset_1 @ SV107 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV107 @ ( sK27_SY387 @ SV107 @ SV70 ) )
= ( sK27_SY387 @ SV107 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SV107 )
= ( sK27_SY387 @ SV107 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK27_SY387 @ SV107 @ SV70 ) @ SV197 )
= SV107 )
= $false )
| ( ( m1_subset_1 @ SV197 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV197 @ ( sK27_SY387 @ SV107 @ SV70 ) )
= SV107 )
= $false )
| ( ( m1_subset_1 @ ( sK14_SY342 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8090]) ).
thf(8100,plain,
! [SV199: $i,SV146: $i,SV70: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV146 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV146 @ ( sK32_SY423 @ SV146 @ SV70 ) )
= ( sK32_SY423 @ SV146 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SV146 )
= ( sK32_SY423 @ SV146 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SV199 )
= SV146 )
= $false )
| ( ( m1_subset_1 @ SV199 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV199 @ ( sK32_SY423 @ SV146 @ SV70 ) )
= SV146 )
= $false )
| ( ( m1_subset_1 @ ( sK15_SY372 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8092]) ).
thf(8101,plain,
! [SV199: $i,SV146: $i,SV70: $i] :
( ( ( ~ ( v3_group_1 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV146 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV146 @ ( sK32_SY423 @ SV146 @ SV70 ) )
= ( sK32_SY423 @ SV146 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SV146 )
= ( sK32_SY423 @ SV146 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SV199 )
= SV146 )
= $false )
| ( ( m1_subset_1 @ SV199 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV199 @ ( sK32_SY423 @ SV146 @ SV70 ) )
= SV146 )
= $false )
| ( ( m1_subset_1 @ ( sK15_SY372 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8092]) ).
thf(8102,plain,
! [SV204: $i,SV153: $i,SV70: $i] :
( ( ( ~ ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) ) )
= $true )
| ( ( m1_subset_1 @ SV153 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV153 @ ( sK37_SY436 @ SV153 @ SV70 ) )
= ( sK37_SY436 @ SV153 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SV153 )
= ( sK37_SY436 @ SV153 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SV204 )
= SV153 )
= $false )
| ( ( m1_subset_1 @ SV204 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV204 @ ( sK37_SY436 @ SV153 @ SV70 ) )
= SV153 )
= $false )
| ( ( m1_subset_1 @ ( sK20_SY376 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8093]) ).
thf(8103,plain,
! [SV204: $i,SV153: $i,SV70: $i] :
( ( ( v4_group_1 @ SV70 )
= $true )
| ( ( m1_subset_1 @ SV153 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV153 @ ( sK37_SY436 @ SV153 @ SV70 ) )
= ( sK37_SY436 @ SV153 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SV153 )
= ( sK37_SY436 @ SV153 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SV204 )
= SV153 )
= $false )
| ( ( m1_subset_1 @ SV204 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV204 @ ( sK37_SY436 @ SV153 @ SV70 ) )
= SV153 )
= $false )
| ( ( m1_subset_1 @ ( sK20_SY376 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8094]) ).
thf(8104,plain,
! [SV202: $i,SV152: $i,SV70: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV152 @ ( sK35_SY433 @ SV152 @ SV70 ) )
= ( sK35_SY433 @ SV152 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SV152 )
= ( sK35_SY433 @ SV152 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SV202 )
= SV152 )
= $false )
| ( ( m1_subset_1 @ SV202 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV202 @ ( sK35_SY433 @ SV152 @ SV70 ) )
= SV152 )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( sK15_SY372 @ SV70 ) ) @ ( sK20_SY376 @ SV70 ) )
= ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( k1_group_1 @ SV70 @ ( sK15_SY372 @ SV70 ) @ ( sK20_SY376 @ SV70 ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8095]) ).
thf(8105,plain,
! [SV200: $i,SV123: $i,SV26: $i] :
( ( ( ~ ( ~ ( m1_group_2 @ SV26 @ SV123 )
| ~ ( m1_group_2 @ SV123 @ SV200 ) ) )
= $false )
| ( ( m1_group_2 @ SV26 @ SV200 )
= $true )
| ( ( v4_group_1 @ SV200 )
= $false )
| ( ( v3_struct_0 @ SV200 )
= $true )
| ( ( v3_group_1 @ SV200 )
= $false )
| ( ( l1_group_1 @ SV200 )
= $false )
| ( ( v4_group_1 @ SV123 )
= $false )
| ( ( v3_struct_0 @ SV123 )
= $true )
| ( ( v3_group_1 @ SV123 )
= $false )
| ( ( l1_group_1 @ SV123 )
= $false )
| ( ( v4_group_1 @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( v3_group_1 @ SV26 )
= $false )
| ( ( l1_group_1 @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8097]) ).
thf(8106,plain,
! [SV201: $i,SV134: $i,SV48: $i] :
( ( ( ~ ( ~ ( r1_group_6 @ SV48 @ SV134 )
| ~ ( r1_group_6 @ SV134 @ SV201 ) ) )
= $false )
| ( ( r1_group_6 @ SV48 @ SV201 )
= $true )
| ( ( v4_group_1 @ SV201 )
= $false )
| ( ( v3_struct_0 @ SV201 )
= $true )
| ( ( v3_group_1 @ SV201 )
= $false )
| ( ( l1_group_1 @ SV201 )
= $false )
| ( ( v4_group_1 @ SV134 )
= $false )
| ( ( v3_struct_0 @ SV134 )
= $true )
| ( ( v3_group_1 @ SV134 )
= $false )
| ( ( l1_group_1 @ SV134 )
= $false )
| ( ( v4_group_1 @ SV48 )
= $false )
| ( ( v3_struct_0 @ SV48 )
= $true )
| ( ( v3_group_1 @ SV48 )
= $false )
| ( ( l1_group_1 @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8098]) ).
thf(8107,plain,
! [SV199: $i,SV146: $i,SV70: $i] :
( ( ( ~ ( v3_struct_0 @ SV70 ) )
= $true )
| ( ( m1_subset_1 @ SV146 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV146 @ ( sK32_SY423 @ SV146 @ SV70 ) )
= ( sK32_SY423 @ SV146 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SV146 )
= ( sK32_SY423 @ SV146 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SV199 )
= SV146 )
= $false )
| ( ( m1_subset_1 @ SV199 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV199 @ ( sK32_SY423 @ SV146 @ SV70 ) )
= SV146 )
= $false )
| ( ( m1_subset_1 @ ( sK15_SY372 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8100]) ).
thf(8108,plain,
! [SV199: $i,SV146: $i,SV70: $i] :
( ( ( v3_group_1 @ SV70 )
= $true )
| ( ( m1_subset_1 @ SV146 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV146 @ ( sK32_SY423 @ SV146 @ SV70 ) )
= ( sK32_SY423 @ SV146 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SV146 )
= ( sK32_SY423 @ SV146 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SV199 )
= SV146 )
= $false )
| ( ( m1_subset_1 @ SV199 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV199 @ ( sK32_SY423 @ SV146 @ SV70 ) )
= SV146 )
= $false )
| ( ( m1_subset_1 @ ( sK15_SY372 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8101]) ).
thf(8109,plain,
! [SV204: $i,SV153: $i,SV70: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV70 )
| ~ ( v3_group_1 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV153 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV153 @ ( sK37_SY436 @ SV153 @ SV70 ) )
= ( sK37_SY436 @ SV153 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SV153 )
= ( sK37_SY436 @ SV153 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SV204 )
= SV153 )
= $false )
| ( ( m1_subset_1 @ SV204 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV204 @ ( sK37_SY436 @ SV153 @ SV70 ) )
= SV153 )
= $false )
| ( ( m1_subset_1 @ ( sK20_SY376 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8102]) ).
thf(8110,plain,
! [SV202: $i,SV152: $i,SV70: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV152 @ ( sK35_SY433 @ SV152 @ SV70 ) )
= ( sK35_SY433 @ SV152 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SV152 )
= ( sK35_SY433 @ SV152 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SV202 )
= SV152 )
= $false )
| ( ( m1_subset_1 @ SV202 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV202 @ ( sK35_SY433 @ SV152 @ SV70 ) )
= SV152 )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( sK15_SY372 @ SV70 ) ) @ ( sK20_SY376 @ SV70 ) )
= ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( k1_group_1 @ SV70 @ ( sK15_SY372 @ SV70 ) @ ( sK20_SY376 @ SV70 ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8104]) ).
thf(8111,plain,
! [SV202: $i,SV152: $i,SV70: $i] :
( ( ( ~ ( v3_group_1 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV152 @ ( sK35_SY433 @ SV152 @ SV70 ) )
= ( sK35_SY433 @ SV152 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SV152 )
= ( sK35_SY433 @ SV152 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SV202 )
= SV152 )
= $false )
| ( ( m1_subset_1 @ SV202 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV202 @ ( sK35_SY433 @ SV152 @ SV70 ) )
= SV152 )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( sK15_SY372 @ SV70 ) ) @ ( sK20_SY376 @ SV70 ) )
= ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( k1_group_1 @ SV70 @ ( sK15_SY372 @ SV70 ) @ ( sK20_SY376 @ SV70 ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8104]) ).
thf(8112,plain,
! [SV200: $i,SV123: $i,SV26: $i] :
( ( ( ~ ( m1_group_2 @ SV26 @ SV123 )
| ~ ( m1_group_2 @ SV123 @ SV200 ) )
= $true )
| ( ( m1_group_2 @ SV26 @ SV200 )
= $true )
| ( ( v4_group_1 @ SV200 )
= $false )
| ( ( v3_struct_0 @ SV200 )
= $true )
| ( ( v3_group_1 @ SV200 )
= $false )
| ( ( l1_group_1 @ SV200 )
= $false )
| ( ( v4_group_1 @ SV123 )
= $false )
| ( ( v3_struct_0 @ SV123 )
= $true )
| ( ( v3_group_1 @ SV123 )
= $false )
| ( ( l1_group_1 @ SV123 )
= $false )
| ( ( v4_group_1 @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( v3_group_1 @ SV26 )
= $false )
| ( ( l1_group_1 @ SV26 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8105]) ).
thf(8113,plain,
! [SV201: $i,SV134: $i,SV48: $i] :
( ( ( ~ ( r1_group_6 @ SV48 @ SV134 )
| ~ ( r1_group_6 @ SV134 @ SV201 ) )
= $true )
| ( ( r1_group_6 @ SV48 @ SV201 )
= $true )
| ( ( v4_group_1 @ SV201 )
= $false )
| ( ( v3_struct_0 @ SV201 )
= $true )
| ( ( v3_group_1 @ SV201 )
= $false )
| ( ( l1_group_1 @ SV201 )
= $false )
| ( ( v4_group_1 @ SV134 )
= $false )
| ( ( v3_struct_0 @ SV134 )
= $true )
| ( ( v3_group_1 @ SV134 )
= $false )
| ( ( l1_group_1 @ SV134 )
= $false )
| ( ( v4_group_1 @ SV48 )
= $false )
| ( ( v3_struct_0 @ SV48 )
= $true )
| ( ( v3_group_1 @ SV48 )
= $false )
| ( ( l1_group_1 @ SV48 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8106]) ).
thf(8114,plain,
! [SV199: $i,SV146: $i,SV70: $i] :
( ( ( v3_struct_0 @ SV70 )
= $false )
| ( ( m1_subset_1 @ SV146 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV146 @ ( sK32_SY423 @ SV146 @ SV70 ) )
= ( sK32_SY423 @ SV146 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SV146 )
= ( sK32_SY423 @ SV146 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK32_SY423 @ SV146 @ SV70 ) @ SV199 )
= SV146 )
= $false )
| ( ( m1_subset_1 @ SV199 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV199 @ ( sK32_SY423 @ SV146 @ SV70 ) )
= SV146 )
= $false )
| ( ( m1_subset_1 @ ( sK15_SY372 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8107]) ).
thf(8115,plain,
! [SV204: $i,SV153: $i,SV70: $i] :
( ( ( ~ ~ ( v3_struct_0 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV153 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV153 @ ( sK37_SY436 @ SV153 @ SV70 ) )
= ( sK37_SY436 @ SV153 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SV153 )
= ( sK37_SY436 @ SV153 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SV204 )
= SV153 )
= $false )
| ( ( m1_subset_1 @ SV204 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV204 @ ( sK37_SY436 @ SV153 @ SV70 ) )
= SV153 )
= $false )
| ( ( m1_subset_1 @ ( sK20_SY376 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8109]) ).
thf(8116,plain,
! [SV204: $i,SV153: $i,SV70: $i] :
( ( ( ~ ( v3_group_1 @ SV70 ) )
= $false )
| ( ( m1_subset_1 @ SV153 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV153 @ ( sK37_SY436 @ SV153 @ SV70 ) )
= ( sK37_SY436 @ SV153 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SV153 )
= ( sK37_SY436 @ SV153 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SV204 )
= SV153 )
= $false )
| ( ( m1_subset_1 @ SV204 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV204 @ ( sK37_SY436 @ SV153 @ SV70 ) )
= SV153 )
= $false )
| ( ( m1_subset_1 @ ( sK20_SY376 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[8109]) ).
thf(8117,plain,
! [SV202: $i,SV152: $i,SV70: $i] :
( ( ( ~ ( v3_struct_0 @ SV70 ) )
= $true )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV152 @ ( sK35_SY433 @ SV152 @ SV70 ) )
= ( sK35_SY433 @ SV152 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SV152 )
= ( sK35_SY433 @ SV152 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SV202 )
= SV152 )
= $false )
| ( ( m1_subset_1 @ SV202 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV202 @ ( sK35_SY433 @ SV152 @ SV70 ) )
= SV152 )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( sK15_SY372 @ SV70 ) ) @ ( sK20_SY376 @ SV70 ) )
= ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( k1_group_1 @ SV70 @ ( sK15_SY372 @ SV70 ) @ ( sK20_SY376 @ SV70 ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8110]) ).
thf(8118,plain,
! [SV202: $i,SV152: $i,SV70: $i] :
( ( ( v3_group_1 @ SV70 )
= $true )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV152 @ ( sK35_SY433 @ SV152 @ SV70 ) )
= ( sK35_SY433 @ SV152 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SV152 )
= ( sK35_SY433 @ SV152 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SV202 )
= SV152 )
= $false )
| ( ( m1_subset_1 @ SV202 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV202 @ ( sK35_SY433 @ SV152 @ SV70 ) )
= SV152 )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( sK15_SY372 @ SV70 ) ) @ ( sK20_SY376 @ SV70 ) )
= ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( k1_group_1 @ SV70 @ ( sK15_SY372 @ SV70 ) @ ( sK20_SY376 @ SV70 ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8111]) ).
thf(8119,plain,
! [SV200: $i,SV123: $i,SV26: $i] :
( ( ( ~ ( m1_group_2 @ SV26 @ SV123 ) )
= $true )
| ( ( ~ ( m1_group_2 @ SV123 @ SV200 ) )
= $true )
| ( ( m1_group_2 @ SV26 @ SV200 )
= $true )
| ( ( v4_group_1 @ SV200 )
= $false )
| ( ( v3_struct_0 @ SV200 )
= $true )
| ( ( v3_group_1 @ SV200 )
= $false )
| ( ( l1_group_1 @ SV200 )
= $false )
| ( ( v4_group_1 @ SV123 )
= $false )
| ( ( v3_struct_0 @ SV123 )
= $true )
| ( ( v3_group_1 @ SV123 )
= $false )
| ( ( l1_group_1 @ SV123 )
= $false )
| ( ( v4_group_1 @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( v3_group_1 @ SV26 )
= $false )
| ( ( l1_group_1 @ SV26 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[8112]) ).
thf(8120,plain,
! [SV201: $i,SV134: $i,SV48: $i] :
( ( ( ~ ( r1_group_6 @ SV48 @ SV134 ) )
= $true )
| ( ( ~ ( r1_group_6 @ SV134 @ SV201 ) )
= $true )
| ( ( r1_group_6 @ SV48 @ SV201 )
= $true )
| ( ( v4_group_1 @ SV201 )
= $false )
| ( ( v3_struct_0 @ SV201 )
= $true )
| ( ( v3_group_1 @ SV201 )
= $false )
| ( ( l1_group_1 @ SV201 )
= $false )
| ( ( v4_group_1 @ SV134 )
= $false )
| ( ( v3_struct_0 @ SV134 )
= $true )
| ( ( v3_group_1 @ SV134 )
= $false )
| ( ( l1_group_1 @ SV134 )
= $false )
| ( ( v4_group_1 @ SV48 )
= $false )
| ( ( v3_struct_0 @ SV48 )
= $true )
| ( ( v3_group_1 @ SV48 )
= $false )
| ( ( l1_group_1 @ SV48 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[8113]) ).
thf(8121,plain,
! [SV204: $i,SV153: $i,SV70: $i] :
( ( ( ~ ( v3_struct_0 @ SV70 ) )
= $true )
| ( ( m1_subset_1 @ SV153 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV153 @ ( sK37_SY436 @ SV153 @ SV70 ) )
= ( sK37_SY436 @ SV153 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SV153 )
= ( sK37_SY436 @ SV153 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SV204 )
= SV153 )
= $false )
| ( ( m1_subset_1 @ SV204 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV204 @ ( sK37_SY436 @ SV153 @ SV70 ) )
= SV153 )
= $false )
| ( ( m1_subset_1 @ ( sK20_SY376 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8115]) ).
thf(8122,plain,
! [SV204: $i,SV153: $i,SV70: $i] :
( ( ( v3_group_1 @ SV70 )
= $true )
| ( ( m1_subset_1 @ SV153 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV153 @ ( sK37_SY436 @ SV153 @ SV70 ) )
= ( sK37_SY436 @ SV153 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SV153 )
= ( sK37_SY436 @ SV153 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SV204 )
= SV153 )
= $false )
| ( ( m1_subset_1 @ SV204 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV204 @ ( sK37_SY436 @ SV153 @ SV70 ) )
= SV153 )
= $false )
| ( ( m1_subset_1 @ ( sK20_SY376 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[8116]) ).
thf(8123,plain,
! [SV202: $i,SV152: $i,SV70: $i] :
( ( ( v3_struct_0 @ SV70 )
= $false )
| ( ( m1_subset_1 @ SV152 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV152 @ ( sK35_SY433 @ SV152 @ SV70 ) )
= ( sK35_SY433 @ SV152 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SV152 )
= ( sK35_SY433 @ SV152 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK35_SY433 @ SV152 @ SV70 ) @ SV202 )
= SV152 )
= $false )
| ( ( m1_subset_1 @ SV202 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV202 @ ( sK35_SY433 @ SV152 @ SV70 ) )
= SV152 )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( sK15_SY372 @ SV70 ) ) @ ( sK20_SY376 @ SV70 ) )
= ( k1_group_1 @ SV70 @ ( sK14_SY342 @ SV70 ) @ ( k1_group_1 @ SV70 @ ( sK15_SY372 @ SV70 ) @ ( sK20_SY376 @ SV70 ) ) ) )
= $false )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8117]) ).
thf(8124,plain,
! [SV200: $i,SV123: $i,SV26: $i] :
( ( ( m1_group_2 @ SV26 @ SV123 )
= $false )
| ( ( ~ ( m1_group_2 @ SV123 @ SV200 ) )
= $true )
| ( ( m1_group_2 @ SV26 @ SV200 )
= $true )
| ( ( v4_group_1 @ SV200 )
= $false )
| ( ( v3_struct_0 @ SV200 )
= $true )
| ( ( v3_group_1 @ SV200 )
= $false )
| ( ( l1_group_1 @ SV200 )
= $false )
| ( ( v4_group_1 @ SV123 )
= $false )
| ( ( v3_struct_0 @ SV123 )
= $true )
| ( ( v3_group_1 @ SV123 )
= $false )
| ( ( l1_group_1 @ SV123 )
= $false )
| ( ( v4_group_1 @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( v3_group_1 @ SV26 )
= $false )
| ( ( l1_group_1 @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8119]) ).
thf(8125,plain,
! [SV201: $i,SV134: $i,SV48: $i] :
( ( ( r1_group_6 @ SV48 @ SV134 )
= $false )
| ( ( ~ ( r1_group_6 @ SV134 @ SV201 ) )
= $true )
| ( ( r1_group_6 @ SV48 @ SV201 )
= $true )
| ( ( v4_group_1 @ SV201 )
= $false )
| ( ( v3_struct_0 @ SV201 )
= $true )
| ( ( v3_group_1 @ SV201 )
= $false )
| ( ( l1_group_1 @ SV201 )
= $false )
| ( ( v4_group_1 @ SV134 )
= $false )
| ( ( v3_struct_0 @ SV134 )
= $true )
| ( ( v3_group_1 @ SV134 )
= $false )
| ( ( l1_group_1 @ SV134 )
= $false )
| ( ( v4_group_1 @ SV48 )
= $false )
| ( ( v3_struct_0 @ SV48 )
= $true )
| ( ( v3_group_1 @ SV48 )
= $false )
| ( ( l1_group_1 @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8120]) ).
thf(8126,plain,
! [SV204: $i,SV153: $i,SV70: $i] :
( ( ( v3_struct_0 @ SV70 )
= $false )
| ( ( m1_subset_1 @ SV153 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV153 @ ( sK37_SY436 @ SV153 @ SV70 ) )
= ( sK37_SY436 @ SV153 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SV153 )
= ( sK37_SY436 @ SV153 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ ( sK37_SY436 @ SV153 @ SV70 ) @ SV204 )
= SV153 )
= $false )
| ( ( m1_subset_1 @ SV204 @ ( u1_struct_0 @ SV70 ) )
= $false )
| ( ( ( k1_group_1 @ SV70 @ SV204 @ ( sK37_SY436 @ SV153 @ SV70 ) )
= SV153 )
= $false )
| ( ( m1_subset_1 @ ( sK20_SY376 @ SV70 ) @ ( u1_struct_0 @ SV70 ) )
= $true )
| ( ( v3_struct_0 @ SV70 )
= $true )
| ( ( l1_group_1 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8121]) ).
thf(8127,plain,
! [SV26: $i,SV200: $i,SV123: $i] :
( ( ( m1_group_2 @ SV123 @ SV200 )
= $false )
| ( ( m1_group_2 @ SV26 @ SV123 )
= $false )
| ( ( m1_group_2 @ SV26 @ SV200 )
= $true )
| ( ( v4_group_1 @ SV200 )
= $false )
| ( ( v3_struct_0 @ SV200 )
= $true )
| ( ( v3_group_1 @ SV200 )
= $false )
| ( ( l1_group_1 @ SV200 )
= $false )
| ( ( v4_group_1 @ SV123 )
= $false )
| ( ( v3_struct_0 @ SV123 )
= $true )
| ( ( v3_group_1 @ SV123 )
= $false )
| ( ( l1_group_1 @ SV123 )
= $false )
| ( ( v4_group_1 @ SV26 )
= $false )
| ( ( v3_struct_0 @ SV26 )
= $true )
| ( ( v3_group_1 @ SV26 )
= $false )
| ( ( l1_group_1 @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8124]) ).
thf(8128,plain,
! [SV48: $i,SV201: $i,SV134: $i] :
( ( ( r1_group_6 @ SV134 @ SV201 )
= $false )
| ( ( r1_group_6 @ SV48 @ SV134 )
= $false )
| ( ( r1_group_6 @ SV48 @ SV201 )
= $true )
| ( ( v4_group_1 @ SV201 )
= $false )
| ( ( v3_struct_0 @ SV201 )
= $true )
| ( ( v3_group_1 @ SV201 )
= $false )
| ( ( l1_group_1 @ SV201 )
= $false )
| ( ( v4_group_1 @ SV134 )
= $false )
| ( ( v3_struct_0 @ SV134 )
= $true )
| ( ( v3_group_1 @ SV134 )
= $false )
| ( ( l1_group_1 @ SV134 )
= $false )
| ( ( v4_group_1 @ SV48 )
= $false )
| ( ( v3_struct_0 @ SV48 )
= $true )
| ( ( v3_group_1 @ SV48 )
= $false )
| ( ( l1_group_1 @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[8125]) ).
thf(8129,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[4692,8128,8127,8126,8123,8122,8118,8114,8108,8103,8099,8096,8091,8084,8077,8071,8070,8068,8063,8060,8059,8052,8048,8043,8042,8040,8039,8026,8020,8017,8012,8011,7993,7991,7944,7909,7896,7893,7891,7884,7877,7876,7871,7865,7851,7842,7828,7825,7820,7814,7812,7809,7802,7800,7796,7795,7790,7782,7778,7777,7773,7772,7750,7733,7732,7728,7724,7722,7721,7717,7712,7702,7701,7700,7698,7692,7691,7690,7689,7687,7686,7675,7674,7673,7672,7669,7668,7659,7651,7643,7642,7641,7629,7623,7622,7620,7619,7616,7615,7605,7604,7592,7570,7569,7566,7565,7551,7546,7541,7537,7498,7497,7495,7494,7484,7477,7476,7475,7474,7460,7458,7441,7420,7393,7382,7365,7364,7356,7353,7344,7343,7322,7321,7319,7318,7317,7312,7311,7297,7296,7287,7281,7280,7278,7274,7253,7245,7183,7181,7178,7131,7130,7128,7123,7119,7111,7108,7102,7082,7078,7071,7052,7034,7031,7027,7000,6989,6887,6880,6861,6839,6803,6723,6650,6647,6579,6570,6527,6526,6456,6379,6348,6341,6238,6230,6213,6208,6179,6175,6151,6149,6145,6131,6130,6128,6108,6101,6091,6062,5957,5936,5927,5852,5829,5820,5814,5626,5625,5535,5534,5533,5532,5528,5527,5525,5524,5523,5522,5521,5520,5519,5515,5512,5511,5510,5509,5508,5507,5506,5505,5502,5501,5500,5499,5498,5497,5496,5495,5492,5487,5486,5485,5483,5480,5479,5478,5477,5476,5475,5474,5473,5472,5471,5470,5469,5464,5463,5462,5461,5460,5459,5458,5457,5455,5447,5446,5442,5441,5440,5439,5438,5437,5436,5435,5434,5433,5432,5431,5430,5429,5428,5427,5426,5425,5417,5416,5415,5414,5413,5412,5411,5410,5409,5407,5406,5405,5404,5403,5402,5401,5400,5399,5398,5397,5396,5395,5394,5393,5392,5391,5390,5389,5388,5387,5386,5385,5384,5383,5382,5381,5380,5377,5376,5375,5374,5373,5372,5371,5370,5369,5368,5367,5366,5365,5364,5363,5362,5361,5360,5359,5358,5357,5356,5355,5354,5353,5352,5351,5350,5349,5348,5347,5346,5345,5344,5343,5342,5341,5340,5339,5338,5337,5336,5335,5334,5333,5332,5331,5330,5329,5328,5327,5326,5325,5324,5323,5322,5321,5320,5319,5318,5317,5316,5315,5314,5313,5312,5311,5310,5309,5302,5301,5300,5299,5298,5297,5296,5295,5293,5292,5291,5290,5289,5288,5287,5286,5285,5284,5268,5266,5263,5262,5259,5258,5257,5256,5249,5248,5247,5246,5245,5244,5243,5242,5241,5240,5239,5238,5237,5236,5235,5234,5233,5232,5229,5228,5225,5224,5222,5221,5220,5219,5218,5217,5216,5215,5214,5213,5212,5211,5210,5209,5208,5207,5206,5205,5204,5203,5202,5201,5200,5199,5198,5197,5196,5195,5194,5193,5192,5191,5190,5189,5188,5187,5186,5185,5184,5183,5182,5181,5180,5179,5178,5177,5176,5175,5174,5173,5172,5171,5170,5169,5168,5167,5166,5165,5164,5163,5162,5161,5160,5159,5158,5157,5156,5155,5154,5153,5152,5151,5150,5149,5148,5147,5146,5145,5144,5143,5142,5141,5140,5139,5138,5137,5136,5135,5134,5133,5132,5131,5130,5129,5128,5127,5126,5125,5124,5123,5122,5121,5120,5119,5118,5117,5116,5115,5114,5113,5112,5111,5110,5109,5108,5107,5106,5105,5104,5103,5102,5101,5100,5099,5098,5097,5096,5095,5094,5093,5092,5091,5090,5089,5088,5087,5086,5085,5084,5083,5082,5081,5080,5079,5078,5077,5076,5075,5074,5073,5072,5071,5070,5069,5068,5067,5066,5065,5064,5063,5062,5061,5060,5059,5058,5057,5056,5055,5054,5053,5052,5051,5050,5049,5048,5047,5046,5045,5044,5043,5042,5041,5040,5039,5038,5037,5036,5035,5034,5033,5032,5031,5030,5029,5028,5027,5026,5025,5024,5023,5022,5021,5020,5019,5018,5017,5016,5015,5014,5013,5012,5011,5010,5009,5008,5007,5006,5005,5004,5003,5002,5001,5000,4999,4998,4997,4996,4995,4994,4993,4992,4991,4990,4989,4988,4987,4986,4985,4984,4983,4982,4981,4980,4979,4978,4977,4976,4975,4974,4973,4972,4971,4970,4969,4968,4967,4966,4965,4964,4963,4962,4961,4960,4959,4958,4957,4956,4955,4954,4953,4952,4951,4950,4949,4948,4947,4946,4945,4944,4943,4942,4941,4940,4939,4938,4937,4936,4935,4934,4933,4932,4931,4930,4929,4928,4927,4926,4925,4924,4923,4922,4921,4920,4919,4918,4917,4916,4915,4914,4913,4912,4911,4910,4909,4908,4907,4906,4905,4904,4903,4902,4901,4900,4899,4898,4897,4896,4895,4894,4893,4892,4891,4890,4889,4888,4887,4886,4885,4884,4883,4882,4881,4880,4879,4878,4877,4876,4875,4874,4873,4872,4871,4870,4869,4868,4867,4866,4865,4864,4863,4862,4861,4860,4859,4858,4857,4856,4855,4854,4853,4852,4851,4850,4849,4848,4847,4846,4845,4844,4843,4842,4841,4840,4839,4838,4837,4836,4835,4834,4833,4832,4831,4830,4829,4828,4827,4826,4825,4824,4823,4822,4821,4820,4819,4818,4817,4816,4815,4814,4813,4812,4811,4810,4809,4808,4807,4806,4805,4804,4803,4802,4801,4800,4799,4798,4797,4796,4795,4794,4793,4792,4791,4790,4789,4788,4787,4786,4785,4784,4783,4782,4781,4780,4779,4778,4777,4776,4775,4774,4773,4772,4771,4770,4769,4768,4767,4766,4765,4764,4763,4762,4761,4760,4759,4758,4757,4756,4755,4754,4753,4749,4747,4746,4745,4744,4743,4742,4741,4740,4739,4738,4737,4736,4735,4734,4733,4732,4731,4730,4729,4728,4727,4726,4725,4724,4723,4722,4721,4720,4719,4718,4717,4716,4715,4714,4713,4712,4711,4710,4709,4708,4707,4706,4705,4704,4703,4702,4701,4700,4699,4698,4697,4696,4695,4694,4693]) ).
thf(8130,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[8129]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP629+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/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.17 % Computer : n026.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Tue Oct 6 10:48:17 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 213.65/35.88 ...................................
% 213.65/35.88
% 213.65/35.88 No.of.Axioms: 840
% 213.65/35.88
% 213.65/35.88 Length.of.Defs: 0
% 213.65/35.88
% 213.65/35.88 Contains.Choice.Funs: false
% 213.65/35.88 ........................................................................................................................................................................................................................
% 213.65/35.88
% 213.65/35.88 ********************************
% 213.65/35.88 * All subproblems solved! *
% 213.65/35.88 ********************************
% 213.65/35.88 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:845,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:293,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:8129,loop_count:0,foatp_calls:1,translation:fof_full)
% 213.65/35.88
% 213.65/35.88 %**** Beginning of derivation protocol ****
% 213.65/35.88 % SZS output start CNFRefutation
% See solution above
% 35.83/35.95
% 35.83/35.95 %**** End of derivation protocol ****
% 35.83/35.95 %**** no. of clauses in derivation: 5130 ****
% 35.83/35.95 %**** clause counter: 8129 ****
% 35.83/35.95
% 35.83/35.95 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:845,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:293,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:8129,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------