TSTP Solution File: LAT374+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LAT374+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Aug 22 10:47:03 EDT 2023
% Result : Theorem 263.04s 233.70s
% Output : CNFRefutation 263.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 147
% Syntax : Number of formulae : 599 ( 181 unt; 115 typ; 0 def)
% Number of atoms : 1310 ( 4 equ)
% Maximal formula atoms : 19 ( 2 avg)
% Number of connectives : 1462 ( 636 ~; 697 |; 71 &)
% ( 7 <=>; 51 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 148 ( 95 >; 53 *; 0 +; 0 <<)
% Number of predicates : 62 ( 60 usr; 1 prp; 0-4 aty)
% Number of functors : 55 ( 55 usr; 20 con; 0-4 aty)
% Number of variables : 413 (; 412 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ r2_altcat_2 > m3_pboole > v5_orders_3 > v22_waybel_0 > v1_partfun1 > v1_funct_2 > m2_relset_1 > m1_relset_1 > v3_altcat_2 > r2_hidden > r1_tarski > r1_altcat_2 > m1_subset_1 > m1_pboole > m1_altcat_2 > v9_altcat_1 > v6_altcat_1 > v5_membered > v4_yellow18 > v4_ordinal2 > v4_orders_2 > v4_membered > v3_yellow_0 > v3_yellow21 > v3_yellow18 > v3_struct_0 > v3_orders_2 > v3_membered > v3_lattice3 > v2_yellow_0 > v2_yellow21 > v2_yellow18 > v2_setfam_1 > v2_orders_2 > v2_membered > v2_lattice3 > v2_funct_1 > v2_altcat_1 > v25_waybel_0 > v24_waybel_0 > v1_yellow_0 > v1_yellow21 > v1_xreal_0 > v1_xcmplx_0 > v1_xboole_0 > v1_relat_1 > v1_rat_1 > v1_orders_2 > v1_membered > v1_lattice3 > v1_int_1 > v1_funct_1 > v1_finset_1 > v1_altcat_2 > v12_altcat_1 > v11_altcat_1 > l2_altcat_1 > l1_struct_0 > l1_orders_2 > l1_altcat_1 > k5_yellow21 > k3_zfmisc_1 > k3_altcat_1 > k2_waybel34 > k1_altcat_1 > g2_altcat_1 > k3_yellow21 > k2_zfmisc_1 > k2_altcat_1 > g1_orders_2 > #nlpp > u2_altcat_1 > u1_struct_0 > u1_orders_2 > u1_altcat_1 > k9_waybel34 > k5_waybel34 > k1_zfmisc_1 > k1_yellow21 > k1_xboole_0 > #skF_33 > #skF_16 > #skF_6 > #skF_20 > #skF_35 > #skF_11 > #skF_31 > #skF_17 > #skF_25 > #skF_18 > #skF_36 > #skF_19 > #skF_3 > #skF_10 > #skF_34 > #skF_26 > #skF_32 > #skF_2 > #skF_1 > #skF_8 > #skF_21 > #skF_9 > #skF_24 > #skF_13 > #skF_22 > #skF_14 > #skF_29 > #skF_28 > #skF_27 > #skF_23 > #skF_7 > #skF_5 > #skF_30 > #skF_15 > #skF_12 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(v1_orders_2,type,
v1_orders_2: $i > $o ).
tff(u2_altcat_1,type,
u2_altcat_1: $i > $i ).
tff(v6_altcat_1,type,
v6_altcat_1: $i > $o ).
tff('#skF_33',type,
'#skF_33': $i ).
tff(v3_altcat_2,type,
v3_altcat_2: ( $i * $i ) > $o ).
tff(m2_relset_1,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff('#skF_16',type,
'#skF_16': $i > $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $i ) > $i ).
tff('#skF_20',type,
'#skF_20': $i ).
tff(v3_orders_2,type,
v3_orders_2: $i > $o ).
tff(v1_funct_1,type,
v1_funct_1: $i > $o ).
tff(v2_funct_1,type,
v2_funct_1: $i > $o ).
tff(g2_altcat_1,type,
g2_altcat_1: ( $i * $i * $i ) > $i ).
tff(v3_yellow_0,type,
v3_yellow_0: $i > $o ).
tff(r2_hidden,type,
r2_hidden: ( $i * $i ) > $o ).
tff('#skF_35',type,
'#skF_35': $i > $i ).
tff('#skF_11',type,
'#skF_11': $i ).
tff('#skF_31',type,
'#skF_31': $i ).
tff(v1_partfun1,type,
v1_partfun1: ( $i * $i * $i ) > $o ).
tff('#skF_17',type,
'#skF_17': ( $i * $i ) > $i ).
tff('#skF_25',type,
'#skF_25': $i ).
tff('#skF_18',type,
'#skF_18': ( $i * $i * $i ) > $i ).
tff(l2_altcat_1,type,
l2_altcat_1: $i > $o ).
tff(v1_int_1,type,
v1_int_1: $i > $o ).
tff(k1_xboole_0,type,
k1_xboole_0: $i ).
tff(r2_altcat_2,type,
r2_altcat_2: ( $i * $i * $i * $i ) > $o ).
tff(k3_yellow21,type,
k3_yellow21: ( $i * $i ) > $i ).
tff(m1_pboole,type,
m1_pboole: ( $i * $i ) > $o ).
tff('#skF_36',type,
'#skF_36': $i ).
tff(k5_waybel34,type,
k5_waybel34: $i > $i ).
tff(k3_altcat_1,type,
k3_altcat_1: ( $i * $i * $i ) > $i ).
tff('#skF_19',type,
'#skF_19': $i ).
tff(k9_waybel34,type,
k9_waybel34: $i > $i ).
tff(v5_orders_3,type,
v5_orders_3: ( $i * $i * $i ) > $o ).
tff(v3_lattice3,type,
v3_lattice3: $i > $o ).
tff(k5_yellow21,type,
k5_yellow21: ( $i * $i * $i * $i ) > $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i ) > $i ).
tff(r1_tarski,type,
r1_tarski: ( $i * $i ) > $o ).
tff('#skF_10',type,
'#skF_10': $i ).
tff(v22_waybel_0,type,
v22_waybel_0: ( $i * $i * $i ) > $o ).
tff(m1_relset_1,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff(v4_ordinal2,type,
v4_ordinal2: $i > $o ).
tff(v4_yellow18,type,
v4_yellow18: $i > $o ).
tff(l1_altcat_1,type,
l1_altcat_1: $i > $o ).
tff(g1_orders_2,type,
g1_orders_2: ( $i * $i ) > $i ).
tff('#skF_34',type,
'#skF_34': $i > $i ).
tff('#skF_26',type,
'#skF_26': $i ).
tff('#skF_32',type,
'#skF_32': $i > $i ).
tff(v3_yellow18,type,
v3_yellow18: $i > $o ).
tff(v1_lattice3,type,
v1_lattice3: $i > $o ).
tff(v1_funct_2,type,
v1_funct_2: ( $i * $i * $i ) > $o ).
tff(v2_yellow_0,type,
v2_yellow_0: $i > $o ).
tff('#skF_2',type,
'#skF_2': $i ).
tff(v3_membered,type,
v3_membered: $i > $o ).
tff(v2_yellow18,type,
v2_yellow18: $i > $o ).
tff(k1_altcat_1,type,
k1_altcat_1: ( $i * $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(v4_orders_2,type,
v4_orders_2: $i > $o ).
tff('#skF_8',type,
'#skF_8': ( $i * $i ) > $i ).
tff(m3_pboole,type,
m3_pboole: ( $i * $i * $i * $i ) > $o ).
tff(v1_xreal_0,type,
v1_xreal_0: $i > $o ).
tff('#skF_21',type,
'#skF_21': $i ).
tff(v2_setfam_1,type,
v2_setfam_1: $i > $o ).
tff('#skF_9',type,
'#skF_9': $i ).
tff(k2_altcat_1,type,
k2_altcat_1: ( $i * $i ) > $i ).
tff(k3_zfmisc_1,type,
k3_zfmisc_1: ( $i * $i * $i ) > $i ).
tff(v5_membered,type,
v5_membered: $i > $o ).
tff(k1_zfmisc_1,type,
k1_zfmisc_1: $i > $i ).
tff(v2_orders_2,type,
v2_orders_2: $i > $o ).
tff(l1_struct_0,type,
l1_struct_0: $i > $o ).
tff(v2_membered,type,
v2_membered: $i > $o ).
tff(v1_membered,type,
v1_membered: $i > $o ).
tff(l1_orders_2,type,
l1_orders_2: $i > $o ).
tff(v1_xcmplx_0,type,
v1_xcmplx_0: $i > $o ).
tff('#skF_24',type,
'#skF_24': ( $i * $i ) > $i ).
tff('#skF_13',type,
'#skF_13': $i > $i ).
tff(v12_altcat_1,type,
v12_altcat_1: $i > $o ).
tff(v1_relat_1,type,
v1_relat_1: $i > $o ).
tff(k2_zfmisc_1,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff(k1_yellow21,type,
k1_yellow21: $i > $i ).
tff(v9_altcat_1,type,
v9_altcat_1: $i > $o ).
tff('#skF_22',type,
'#skF_22': $i ).
tff(v1_altcat_2,type,
v1_altcat_2: $i > $o ).
tff(v2_altcat_1,type,
v2_altcat_1: $i > $o ).
tff(k2_waybel34,type,
k2_waybel34: ( $i * $i * $i ) > $i ).
tff('#skF_14',type,
'#skF_14': $i > $i ).
tff(v2_yellow21,type,
v2_yellow21: $i > $o ).
tff('#skF_29',type,
'#skF_29': $i ).
tff('#skF_28',type,
'#skF_28': $i ).
tff(v11_altcat_1,type,
v11_altcat_1: $i > $o ).
tff('#skF_27',type,
'#skF_27': $i ).
tff('#skF_23',type,
'#skF_23': $i ).
tff(v25_waybel_0,type,
v25_waybel_0: $i > $o ).
tff(m1_altcat_2,type,
m1_altcat_2: ( $i * $i ) > $o ).
tff(v1_rat_1,type,
v1_rat_1: $i > $o ).
tff(v2_lattice3,type,
v2_lattice3: $i > $o ).
tff(u1_orders_2,type,
u1_orders_2: $i > $i ).
tff('#skF_7',type,
'#skF_7': ( $i * $i ) > $i ).
tff(r1_altcat_2,type,
r1_altcat_2: ( $i * $i ) > $o ).
tff(v4_membered,type,
v4_membered: $i > $o ).
tff(u1_struct_0,type,
u1_struct_0: $i > $i ).
tff(v3_yellow21,type,
v3_yellow21: $i > $o ).
tff(v24_waybel_0,type,
v24_waybel_0: $i > $o ).
tff(v1_xboole_0,type,
v1_xboole_0: $i > $o ).
tff(v1_finset_1,type,
v1_finset_1: $i > $o ).
tff('#skF_5',type,
'#skF_5': ( $i * $i ) > $i ).
tff(u1_altcat_1,type,
u1_altcat_1: $i > $i ).
tff('#skF_30',type,
'#skF_30': $i > $i ).
tff('#skF_15',type,
'#skF_15': ( $i * $i ) > $i ).
tff('#skF_12',type,
'#skF_12': $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i ) > $i ).
tff(v1_yellow_0,type,
v1_yellow_0: $i > $o ).
tff(v3_struct_0,type,
v3_struct_0: $i > $o ).
tff(v1_yellow21,type,
v1_yellow21: $i > $o ).
tff(m1_subset_1,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(f_550,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> ~ v1_xboole_0(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_setfam_1) ).
tff(f_54,negated_conjecture,
~ ! [A] :
( ~ v2_setfam_1(A)
=> ! [B] :
( ( v2_orders_2(B)
& v3_orders_2(B)
& v4_orders_2(B)
& v1_lattice3(B)
& v2_lattice3(B)
& l1_orders_2(B) )
=> ( m1_subset_1(B,u1_struct_0(k9_waybel34(A)))
<=> ( v1_orders_2(B)
& v3_lattice3(B)
& r2_hidden(u1_struct_0(B),A) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t49_waybel34) ).
tff(f_1015,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ( ~ v3_struct_0(k5_waybel34(A))
& v2_altcat_1(k5_waybel34(A))
& v6_altcat_1(k5_waybel34(A))
& v11_altcat_1(k5_waybel34(A))
& v12_altcat_1(k5_waybel34(A))
& v2_yellow21(k5_waybel34(A))
& l2_altcat_1(k5_waybel34(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_waybel34) ).
tff(f_1056,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> ( ~ v3_struct_0(k9_waybel34(A))
& v2_altcat_1(k9_waybel34(A))
& v6_altcat_1(k9_waybel34(A))
& v3_altcat_2(k9_waybel34(A),k5_waybel34(A))
& m1_altcat_2(k9_waybel34(A),k5_waybel34(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k9_waybel34) ).
tff(f_1614,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> ! [B] :
( ( v2_orders_2(B)
& v3_orders_2(B)
& v4_orders_2(B)
& v1_lattice3(B)
& v2_lattice3(B)
& l1_orders_2(B) )
=> ( m1_subset_1(B,u1_struct_0(k5_waybel34(A)))
<=> ( v1_orders_2(B)
& v3_lattice3(B)
& r2_hidden(u1_struct_0(B),A) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_waybel34) ).
tff(f_889,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> ! [B] :
( ( ~ v3_struct_0(B)
& v2_altcat_1(B)
& v6_altcat_1(B)
& v3_altcat_2(B,k5_waybel34(A))
& m1_altcat_2(B,k5_waybel34(A)) )
=> ( ( B = k9_waybel34(A) )
<=> ( ! [C] :
( m1_subset_1(C,u1_struct_0(k5_waybel34(A)))
=> m1_subset_1(C,u1_struct_0(B)) )
& ! [C] :
( m1_subset_1(C,u1_struct_0(k5_waybel34(A)))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(k5_waybel34(A)))
=> ! [E] :
( m1_subset_1(E,u1_struct_0(B))
=> ! [F] :
( m1_subset_1(F,u1_struct_0(B))
=> ( ( ( E = C )
& ( F = D ) )
=> ( ( k1_altcat_1(k5_waybel34(A),C,D) = k1_xboole_0 )
| ! [G] :
( m1_subset_1(G,k1_altcat_1(k5_waybel34(A),C,D))
=> ( r2_hidden(G,k1_altcat_1(B,E,F))
<=> v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(A),D),k3_yellow21(k5_waybel34(A),C),k5_yellow21(k5_waybel34(A),C,D,G)),k3_yellow21(k5_waybel34(A),D),k3_yellow21(k5_waybel34(A),C)) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d11_waybel34) ).
tff(f_1075,axiom,
! [A] :
( l2_altcat_1(A)
=> ! [B] :
( m1_altcat_2(B,A)
=> l2_altcat_1(B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_altcat_2) ).
tff(f_1068,axiom,
! [A] :
( l2_altcat_1(A)
=> l1_altcat_1(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_altcat_1) ).
tff(f_1060,axiom,
! [A] :
( l1_altcat_1(A)
=> l1_struct_0(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_altcat_1) ).
tff(f_304,axiom,
! [A] :
( v1_xboole_0(A)
=> ( v1_membered(A)
& v2_membered(A)
& v3_membered(A)
& v4_membered(A)
& v5_membered(A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc15_membered) ).
tff(f_105,axiom,
! [A] :
( v2_membered(A)
=> ! [B] :
( m1_subset_1(B,A)
=> ( v1_xcmplx_0(B)
& v1_xreal_0(B) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc11_membered) ).
tff(f_842,axiom,
! [A] :
( l2_altcat_1(A)
=> ! [B] :
( l2_altcat_1(B)
=> ( m1_altcat_2(B,A)
<=> ( r1_tarski(u1_struct_0(B),u1_struct_0(A))
& r2_altcat_2(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_altcat_1(B),u1_altcat_1(A))
& r2_altcat_2(k3_zfmisc_1(u1_struct_0(B),u1_struct_0(B),u1_struct_0(B)),k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A)),u2_altcat_1(B),u2_altcat_1(A)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d11_altcat_2) ).
tff(f_1624,axiom,
! [A,B] :
( m1_subset_1(A,B)
=> ( v1_xboole_0(B)
| r2_hidden(A,B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
tff(f_1628,axiom,
! [A,B] :
( m1_subset_1(A,k1_zfmisc_1(B))
<=> r1_tarski(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
tff(f_1634,axiom,
! [A,B,C] :
( ( r2_hidden(A,B)
& m1_subset_1(B,k1_zfmisc_1(C)) )
=> m1_subset_1(A,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
tff(f_268,axiom,
! [A] :
( v5_membered(A)
=> ! [B] :
( m1_subset_1(B,A)
=> ( v1_xcmplx_0(B)
& v4_ordinal2(B)
& v1_xreal_0(B)
& v1_int_1(B)
& v1_rat_1(B) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc14_membered) ).
tff(f_1536,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l1_struct_0(A) )
=> ? [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
& ~ v1_xboole_0(B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc5_struct_0) ).
tff(f_320,axiom,
! [A] :
( v2_membered(A)
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> ( v1_membered(B)
& v2_membered(B) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc17_membered) ).
tff(f_533,axiom,
! [A] :
( l2_altcat_1(A)
=> ( ( ~ v3_struct_0(A)
& v12_altcat_1(A) )
=> ( ~ v3_struct_0(A)
& v1_altcat_2(A) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_functor0) ).
tff(f_182,axiom,
! [A] :
( v3_membered(A)
=> ! [B] :
( m1_subset_1(B,A)
=> ( v1_xcmplx_0(B)
& v1_xreal_0(B)
& v1_rat_1(B) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc12_membered) ).
tff(f_363,axiom,
! [A] :
( v5_membered(A)
=> v4_membered(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_membered) ).
tff(f_344,axiom,
! [A] :
( v4_membered(A)
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> ( v1_membered(B)
& v2_membered(B)
& v3_membered(B)
& v4_membered(B) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc19_membered) ).
tff(f_1564,axiom,
! [A,B,C] :
( m2_relset_1(C,A,B)
<=> m1_relset_1(C,A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
tff(f_1085,axiom,
! [A,B,C] :
( m2_relset_1(C,A,B)
=> m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).
tff(f_1190,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l1_struct_0(A) )
=> ~ v1_xboole_0(u1_struct_0(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
tff(f_997,axiom,
! [A,B] :
( ( ~ v3_struct_0(A)
& v2_altcat_1(A)
& v11_altcat_1(A)
& v12_altcat_1(A)
& v2_yellow21(A)
& l2_altcat_1(A)
& m1_subset_1(B,u1_struct_0(A)) )
=> ( v2_orders_2(k3_yellow21(A,B))
& v3_orders_2(k3_yellow21(A,B))
& v4_orders_2(k3_yellow21(A,B))
& v1_lattice3(k3_yellow21(A,B))
& v2_lattice3(k3_yellow21(A,B))
& l1_orders_2(k3_yellow21(A,B)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_yellow21) ).
tff(f_502,axiom,
! [A] :
( v5_membered(A)
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> ( v1_membered(B)
& v2_membered(B)
& v3_membered(B)
& v4_membered(B)
& v5_membered(B) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc20_membered) ).
tff(f_233,axiom,
! [A] :
( v4_membered(A)
=> ! [B] :
( m1_subset_1(B,A)
=> ( v1_xcmplx_0(B)
& v1_xreal_0(B)
& v1_int_1(B)
& v1_rat_1(B) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc13_membered) ).
tff(f_604,axiom,
! [A] :
( v2_membered(A)
=> v1_membered(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc4_membered) ).
tff(f_311,axiom,
! [A] :
( v1_membered(A)
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> v1_membered(B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc16_membered) ).
tff(f_544,axiom,
! [A] :
( v4_membered(A)
=> v3_membered(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_membered) ).
tff(f_588,axiom,
! [A] :
( v3_membered(A)
=> v2_membered(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc3_membered) ).
tff(c_324424,plain,
! [A_22167] :
( ~ v1_xboole_0(A_22167)
| v2_setfam_1(A_22167) ),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_14,plain,
~ v2_setfam_1('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_324432,plain,
~ v1_xboole_0('#skF_1'),
inference(resolution,[status(thm)],[c_324424,c_14]) ).
tff(c_488,plain,
! [A_364] :
( l2_altcat_1(k5_waybel34(A_364))
| v1_xboole_0(A_364) ),
inference(cnfTransformation,[status(thm)],[f_1015]) ).
tff(c_510,plain,
! [A_369] :
( m1_altcat_2(k9_waybel34(A_369),k5_waybel34(A_369))
| v2_setfam_1(A_369) ),
inference(cnfTransformation,[status(thm)],[f_1056]) ).
tff(c_198049,plain,
! [A_12159] :
( ~ v1_xboole_0(A_12159)
| v2_setfam_1(A_12159) ),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_198057,plain,
~ v1_xboole_0('#skF_1'),
inference(resolution,[status(thm)],[c_198049,c_14]) ).
tff(c_107625,plain,
! [A_4868] :
( ~ v1_xboole_0(A_4868)
| v2_setfam_1(A_4868) ),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_107633,plain,
~ v1_xboole_0('#skF_1'),
inference(resolution,[status(thm)],[c_107625,c_14]) ).
tff(c_22,plain,
( m1_subset_1('#skF_2',u1_struct_0(k9_waybel34('#skF_1')))
| r2_hidden(u1_struct_0('#skF_2'),'#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_893,plain,
r2_hidden(u1_struct_0('#skF_2'),'#skF_1'),
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_26,plain,
( m1_subset_1('#skF_2',u1_struct_0(k9_waybel34('#skF_1')))
| v3_lattice3('#skF_2') ),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_891,plain,
v3_lattice3('#skF_2'),
inference(splitLeft,[status(thm)],[c_26]) ).
tff(c_30,plain,
( m1_subset_1('#skF_2',u1_struct_0(k9_waybel34('#skF_1')))
| v1_orders_2('#skF_2') ),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_892,plain,
v1_orders_2('#skF_2'),
inference(splitLeft,[status(thm)],[c_30]) ).
tff(c_514,plain,
! [A_369] :
( v6_altcat_1(k9_waybel34(A_369))
| v2_setfam_1(A_369) ),
inference(cnfTransformation,[status(thm)],[f_1056]) ).
tff(c_12,plain,
v2_orders_2('#skF_2'),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_10,plain,
v3_orders_2('#skF_2'),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_8,plain,
v4_orders_2('#skF_2'),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_6,plain,
v1_lattice3('#skF_2'),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_4,plain,
v2_lattice3('#skF_2'),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_2,plain,
l1_orders_2('#skF_2'),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_866,plain,
! [B_466,A_464] :
( m1_subset_1(B_466,u1_struct_0(k5_waybel34(A_464)))
| ~ r2_hidden(u1_struct_0(B_466),A_464)
| ~ v3_lattice3(B_466)
| ~ v1_orders_2(B_466)
| ~ l1_orders_2(B_466)
| ~ v2_lattice3(B_466)
| ~ v1_lattice3(B_466)
| ~ v4_orders_2(B_466)
| ~ v3_orders_2(B_466)
| ~ v2_orders_2(B_466)
| v2_setfam_1(A_464) ),
inference(cnfTransformation,[status(thm)],[f_1614]) ).
tff(c_516,plain,
! [A_369] :
( v2_altcat_1(k9_waybel34(A_369))
| v2_setfam_1(A_369) ),
inference(cnfTransformation,[status(thm)],[f_1056]) ).
tff(c_512,plain,
! [A_369] :
( v3_altcat_2(k9_waybel34(A_369),k5_waybel34(A_369))
| v2_setfam_1(A_369) ),
inference(cnfTransformation,[status(thm)],[f_1056]) ).
tff(c_11397,plain,
! [C_1700,A_1701] :
( m1_subset_1(C_1700,u1_struct_0(k9_waybel34(A_1701)))
| ~ m1_subset_1(C_1700,u1_struct_0(k5_waybel34(A_1701)))
| ~ m1_altcat_2(k9_waybel34(A_1701),k5_waybel34(A_1701))
| ~ v3_altcat_2(k9_waybel34(A_1701),k5_waybel34(A_1701))
| ~ v6_altcat_1(k9_waybel34(A_1701))
| ~ v2_altcat_1(k9_waybel34(A_1701))
| v3_struct_0(k9_waybel34(A_1701))
| v2_setfam_1(A_1701) ),
inference(cnfTransformation,[status(thm)],[f_889]) ).
tff(c_22203,plain,
! [C_2439,A_2440] :
( m1_subset_1(C_2439,u1_struct_0(k9_waybel34(A_2440)))
| ~ m1_subset_1(C_2439,u1_struct_0(k5_waybel34(A_2440)))
| ~ m1_altcat_2(k9_waybel34(A_2440),k5_waybel34(A_2440))
| ~ v6_altcat_1(k9_waybel34(A_2440))
| ~ v2_altcat_1(k9_waybel34(A_2440))
| v3_struct_0(k9_waybel34(A_2440))
| v2_setfam_1(A_2440) ),
inference(resolution,[status(thm)],[c_512,c_11397]) ).
tff(c_106756,plain,
! [C_4805,A_4806] :
( m1_subset_1(C_4805,u1_struct_0(k9_waybel34(A_4806)))
| ~ m1_subset_1(C_4805,u1_struct_0(k5_waybel34(A_4806)))
| ~ v6_altcat_1(k9_waybel34(A_4806))
| ~ v2_altcat_1(k9_waybel34(A_4806))
| v3_struct_0(k9_waybel34(A_4806))
| v2_setfam_1(A_4806) ),
inference(resolution,[status(thm)],[c_510,c_22203]) ).
tff(c_16,plain,
( ~ r2_hidden(u1_struct_0('#skF_2'),'#skF_1')
| ~ v3_lattice3('#skF_2')
| ~ v1_orders_2('#skF_2')
| ~ m1_subset_1('#skF_2',u1_struct_0(k9_waybel34('#skF_1'))) ),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_894,plain,
~ m1_subset_1('#skF_2',u1_struct_0(k9_waybel34('#skF_1'))),
inference(splitLeft,[status(thm)],[c_16]) ).
tff(c_106965,plain,
( ~ m1_subset_1('#skF_2',u1_struct_0(k5_waybel34('#skF_1')))
| ~ v6_altcat_1(k9_waybel34('#skF_1'))
| ~ v2_altcat_1(k9_waybel34('#skF_1'))
| v3_struct_0(k9_waybel34('#skF_1'))
| v2_setfam_1('#skF_1') ),
inference(resolution,[status(thm)],[c_106756,c_894]) ).
tff(c_107028,plain,
( ~ m1_subset_1('#skF_2',u1_struct_0(k5_waybel34('#skF_1')))
| ~ v6_altcat_1(k9_waybel34('#skF_1'))
| ~ v2_altcat_1(k9_waybel34('#skF_1'))
| v3_struct_0(k9_waybel34('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_14,c_106965]) ).
tff(c_107029,plain,
~ v2_altcat_1(k9_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_107028]) ).
tff(c_107032,plain,
v2_setfam_1('#skF_1'),
inference(resolution,[status(thm)],[c_516,c_107029]) ).
tff(c_107036,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14,c_107032]) ).
tff(c_107037,plain,
( ~ v6_altcat_1(k9_waybel34('#skF_1'))
| ~ m1_subset_1('#skF_2',u1_struct_0(k5_waybel34('#skF_1')))
| v3_struct_0(k9_waybel34('#skF_1')) ),
inference(splitRight,[status(thm)],[c_107028]) ).
tff(c_107039,plain,
~ m1_subset_1('#skF_2',u1_struct_0(k5_waybel34('#skF_1'))),
inference(splitLeft,[status(thm)],[c_107037]) ).
tff(c_107045,plain,
( ~ r2_hidden(u1_struct_0('#skF_2'),'#skF_1')
| ~ v3_lattice3('#skF_2')
| ~ v1_orders_2('#skF_2')
| ~ l1_orders_2('#skF_2')
| ~ v2_lattice3('#skF_2')
| ~ v1_lattice3('#skF_2')
| ~ v4_orders_2('#skF_2')
| ~ v3_orders_2('#skF_2')
| ~ v2_orders_2('#skF_2')
| v2_setfam_1('#skF_1') ),
inference(resolution,[status(thm)],[c_866,c_107039]) ).
tff(c_107049,plain,
v2_setfam_1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_10,c_8,c_6,c_4,c_2,c_892,c_891,c_893,c_107045]) ).
tff(c_107051,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14,c_107049]) ).
tff(c_107052,plain,
( ~ v6_altcat_1(k9_waybel34('#skF_1'))
| v3_struct_0(k9_waybel34('#skF_1')) ),
inference(splitRight,[status(thm)],[c_107037]) ).
tff(c_107185,plain,
~ v6_altcat_1(k9_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_107052]) ).
tff(c_107188,plain,
v2_setfam_1('#skF_1'),
inference(resolution,[status(thm)],[c_514,c_107185]) ).
tff(c_107192,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14,c_107188]) ).
tff(c_107193,plain,
v3_struct_0(k9_waybel34('#skF_1')),
inference(splitRight,[status(thm)],[c_107052]) ).
tff(c_518,plain,
! [A_369] :
( ~ v3_struct_0(k9_waybel34(A_369))
| v2_setfam_1(A_369) ),
inference(cnfTransformation,[status(thm)],[f_1056]) ).
tff(c_107203,plain,
v2_setfam_1('#skF_1'),
inference(resolution,[status(thm)],[c_107193,c_518]) ).
tff(c_107209,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14,c_107203]) ).
tff(c_107210,plain,
( ~ v1_orders_2('#skF_2')
| ~ v3_lattice3('#skF_2')
| ~ r2_hidden(u1_struct_0('#skF_2'),'#skF_1') ),
inference(splitRight,[status(thm)],[c_16]) ).
tff(c_107365,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_893,c_891,c_892,c_107210]) ).
tff(c_107367,plain,
~ r2_hidden(u1_struct_0('#skF_2'),'#skF_1'),
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_164969,plain,
! [B_9763,A_9764] :
( l2_altcat_1(B_9763)
| ~ m1_altcat_2(B_9763,A_9764)
| ~ l2_altcat_1(A_9764) ),
inference(cnfTransformation,[status(thm)],[f_1075]) ).
tff(c_166994,plain,
! [A_9992] :
( l2_altcat_1(k9_waybel34(A_9992))
| ~ l2_altcat_1(k5_waybel34(A_9992))
| v2_setfam_1(A_9992) ),
inference(resolution,[status(thm)],[c_510,c_164969]) ).
tff(c_526,plain,
! [A_372] :
( l1_altcat_1(A_372)
| ~ l2_altcat_1(A_372) ),
inference(cnfTransformation,[status(thm)],[f_1068]) ).
tff(c_168080,plain,
! [A_10132] :
( l1_altcat_1(k9_waybel34(A_10132))
| ~ l2_altcat_1(k5_waybel34(A_10132))
| v2_setfam_1(A_10132) ),
inference(resolution,[status(thm)],[c_166994,c_526]) ).
tff(c_168084,plain,
! [A_364] :
( l1_altcat_1(k9_waybel34(A_364))
| v2_setfam_1(A_364)
| v1_xboole_0(A_364) ),
inference(resolution,[status(thm)],[c_488,c_168080]) ).
tff(c_520,plain,
! [A_370] :
( l1_struct_0(A_370)
| ~ l1_altcat_1(A_370) ),
inference(cnfTransformation,[status(thm)],[f_1060]) ).
tff(c_107914,plain,
! [B_4953,A_4954] :
( l2_altcat_1(B_4953)
| ~ m1_altcat_2(B_4953,A_4954)
| ~ l2_altcat_1(A_4954) ),
inference(cnfTransformation,[status(thm)],[f_1075]) ).
tff(c_107921,plain,
! [A_369] :
( l2_altcat_1(k9_waybel34(A_369))
| ~ l2_altcat_1(k5_waybel34(A_369))
| v2_setfam_1(A_369) ),
inference(resolution,[status(thm)],[c_510,c_107914]) ).
tff(c_152,plain,
! [A_29] :
( v2_membered(A_29)
| ~ v1_xboole_0(A_29) ),
inference(cnfTransformation,[status(thm)],[f_304]) ).
tff(c_107366,plain,
m1_subset_1('#skF_2',u1_struct_0(k9_waybel34('#skF_1'))),
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_107771,plain,
! [B_4932,A_4933] :
( v1_xreal_0(B_4932)
| ~ m1_subset_1(B_4932,A_4933)
| ~ v2_membered(A_4933) ),
inference(cnfTransformation,[status(thm)],[f_105]) ).
tff(c_107783,plain,
( v1_xreal_0('#skF_2')
| ~ v2_membered(u1_struct_0(k9_waybel34('#skF_1'))) ),
inference(resolution,[status(thm)],[c_107366,c_107771]) ).
tff(c_107785,plain,
~ v2_membered(u1_struct_0(k9_waybel34('#skF_1'))),
inference(splitLeft,[status(thm)],[c_107783]) ).
tff(c_107789,plain,
~ v1_xboole_0(u1_struct_0(k9_waybel34('#skF_1'))),
inference(resolution,[status(thm)],[c_152,c_107785]) ).
tff(c_388,plain,
! [B_91,A_89] :
( r1_tarski(u1_struct_0(B_91),u1_struct_0(A_89))
| ~ m1_altcat_2(B_91,A_89)
| ~ l2_altcat_1(B_91)
| ~ l2_altcat_1(A_89) ),
inference(cnfTransformation,[status(thm)],[f_842]) ).
tff(c_876,plain,
! [A_469,B_470] :
( r2_hidden(A_469,B_470)
| v1_xboole_0(B_470)
| ~ m1_subset_1(A_469,B_470) ),
inference(cnfTransformation,[status(thm)],[f_1624]) ).
tff(c_880,plain,
! [A_471,B_472] :
( m1_subset_1(A_471,k1_zfmisc_1(B_472))
| ~ r1_tarski(A_471,B_472) ),
inference(cnfTransformation,[status(thm)],[f_1628]) ).
tff(c_110724,plain,
! [A_5267,C_5268,B_5269] :
( m1_subset_1(A_5267,C_5268)
| ~ m1_subset_1(B_5269,k1_zfmisc_1(C_5268))
| ~ r2_hidden(A_5267,B_5269) ),
inference(cnfTransformation,[status(thm)],[f_1634]) ).
tff(c_111406,plain,
! [A_5366,B_5367,A_5368] :
( m1_subset_1(A_5366,B_5367)
| ~ r2_hidden(A_5366,A_5368)
| ~ r1_tarski(A_5368,B_5367) ),
inference(resolution,[status(thm)],[c_880,c_110724]) ).
tff(c_116267,plain,
! [A_5877,B_5878,B_5879] :
( m1_subset_1(A_5877,B_5878)
| ~ r1_tarski(B_5879,B_5878)
| v1_xboole_0(B_5879)
| ~ m1_subset_1(A_5877,B_5879) ),
inference(resolution,[status(thm)],[c_876,c_111406]) ).
tff(c_133165,plain,
! [A_7182,A_7183,B_7184] :
( m1_subset_1(A_7182,u1_struct_0(A_7183))
| v1_xboole_0(u1_struct_0(B_7184))
| ~ m1_subset_1(A_7182,u1_struct_0(B_7184))
| ~ m1_altcat_2(B_7184,A_7183)
| ~ l2_altcat_1(B_7184)
| ~ l2_altcat_1(A_7183) ),
inference(resolution,[status(thm)],[c_388,c_116267]) ).
tff(c_133247,plain,
! [A_7183] :
( m1_subset_1('#skF_2',u1_struct_0(A_7183))
| v1_xboole_0(u1_struct_0(k9_waybel34('#skF_1')))
| ~ m1_altcat_2(k9_waybel34('#skF_1'),A_7183)
| ~ l2_altcat_1(k9_waybel34('#skF_1'))
| ~ l2_altcat_1(A_7183) ),
inference(resolution,[status(thm)],[c_107366,c_133165]) ).
tff(c_133281,plain,
! [A_7183] :
( m1_subset_1('#skF_2',u1_struct_0(A_7183))
| ~ m1_altcat_2(k9_waybel34('#skF_1'),A_7183)
| ~ l2_altcat_1(k9_waybel34('#skF_1'))
| ~ l2_altcat_1(A_7183) ),
inference(negUnitSimplification,[status(thm)],[c_107789,c_133247]) ).
tff(c_133282,plain,
~ l2_altcat_1(k9_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_133281]) ).
tff(c_133285,plain,
( ~ l2_altcat_1(k5_waybel34('#skF_1'))
| v2_setfam_1('#skF_1') ),
inference(resolution,[status(thm)],[c_107921,c_133282]) ).
tff(c_133288,plain,
~ l2_altcat_1(k5_waybel34('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_14,c_133285]) ).
tff(c_133291,plain,
v1_xboole_0('#skF_1'),
inference(resolution,[status(thm)],[c_488,c_133288]) ).
tff(c_133295,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107633,c_133291]) ).
tff(c_133302,plain,
! [A_7185] :
( m1_subset_1('#skF_2',u1_struct_0(A_7185))
| ~ m1_altcat_2(k9_waybel34('#skF_1'),A_7185)
| ~ l2_altcat_1(A_7185) ),
inference(splitRight,[status(thm)],[c_133281]) ).
tff(c_128,plain,
! [B_27,A_25] :
( v1_int_1(B_27)
| ~ m1_subset_1(B_27,A_25)
| ~ v5_membered(A_25) ),
inference(cnfTransformation,[status(thm)],[f_268]) ).
tff(c_133416,plain,
! [A_7185] :
( v1_int_1('#skF_2')
| ~ v5_membered(u1_struct_0(A_7185))
| ~ m1_altcat_2(k9_waybel34('#skF_1'),A_7185)
| ~ l2_altcat_1(A_7185) ),
inference(resolution,[status(thm)],[c_133302,c_128]) ).
tff(c_133478,plain,
! [A_7188] :
( ~ v5_membered(u1_struct_0(A_7188))
| ~ m1_altcat_2(k9_waybel34('#skF_1'),A_7188)
| ~ l2_altcat_1(A_7188) ),
inference(splitLeft,[status(thm)],[c_133416]) ).
tff(c_133482,plain,
( ~ v5_membered(u1_struct_0(k5_waybel34('#skF_1')))
| ~ l2_altcat_1(k5_waybel34('#skF_1'))
| v2_setfam_1('#skF_1') ),
inference(resolution,[status(thm)],[c_510,c_133478]) ).
tff(c_133485,plain,
( ~ v5_membered(u1_struct_0(k5_waybel34('#skF_1')))
| ~ l2_altcat_1(k5_waybel34('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_14,c_133482]) ).
tff(c_133486,plain,
~ l2_altcat_1(k5_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_133485]) ).
tff(c_133489,plain,
v1_xboole_0('#skF_1'),
inference(resolution,[status(thm)],[c_488,c_133486]) ).
tff(c_133493,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107633,c_133489]) ).
tff(c_133495,plain,
l2_altcat_1(k5_waybel34('#skF_1')),
inference(splitRight,[status(thm)],[c_133485]) ).
tff(c_868,plain,
! [B_466,A_464] :
( r2_hidden(u1_struct_0(B_466),A_464)
| ~ m1_subset_1(B_466,u1_struct_0(k5_waybel34(A_464)))
| ~ l1_orders_2(B_466)
| ~ v2_lattice3(B_466)
| ~ v1_lattice3(B_466)
| ~ v4_orders_2(B_466)
| ~ v3_orders_2(B_466)
| ~ v2_orders_2(B_466)
| v2_setfam_1(A_464) ),
inference(cnfTransformation,[status(thm)],[f_1614]) ).
tff(c_133310,plain,
! [A_464] :
( r2_hidden(u1_struct_0('#skF_2'),A_464)
| ~ l1_orders_2('#skF_2')
| ~ v2_lattice3('#skF_2')
| ~ v1_lattice3('#skF_2')
| ~ v4_orders_2('#skF_2')
| ~ v3_orders_2('#skF_2')
| ~ v2_orders_2('#skF_2')
| v2_setfam_1(A_464)
| ~ m1_altcat_2(k9_waybel34('#skF_1'),k5_waybel34(A_464))
| ~ l2_altcat_1(k5_waybel34(A_464)) ),
inference(resolution,[status(thm)],[c_133302,c_868]) ).
tff(c_133700,plain,
! [A_7199] :
( r2_hidden(u1_struct_0('#skF_2'),A_7199)
| v2_setfam_1(A_7199)
| ~ m1_altcat_2(k9_waybel34('#skF_1'),k5_waybel34(A_7199))
| ~ l2_altcat_1(k5_waybel34(A_7199)) ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_10,c_8,c_6,c_4,c_2,c_133310]) ).
tff(c_133704,plain,
( r2_hidden(u1_struct_0('#skF_2'),'#skF_1')
| ~ l2_altcat_1(k5_waybel34('#skF_1'))
| v2_setfam_1('#skF_1') ),
inference(resolution,[status(thm)],[c_510,c_133700]) ).
tff(c_133707,plain,
( r2_hidden(u1_struct_0('#skF_2'),'#skF_1')
| v2_setfam_1('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_133495,c_133704]) ).
tff(c_133709,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14,c_107367,c_133707]) ).
tff(c_133711,plain,
v2_membered(u1_struct_0(k9_waybel34('#skF_1'))),
inference(splitRight,[status(thm)],[c_107783]) ).
tff(c_167025,plain,
! [A_10002] :
( m1_subset_1('#skF_35'(A_10002),k1_zfmisc_1(u1_struct_0(A_10002)))
| ~ l1_struct_0(A_10002)
| v3_struct_0(A_10002) ),
inference(cnfTransformation,[status(thm)],[f_1536]) ).
tff(c_158,plain,
! [B_35,A_33] :
( v2_membered(B_35)
| ~ m1_subset_1(B_35,k1_zfmisc_1(A_33))
| ~ v2_membered(A_33) ),
inference(cnfTransformation,[status(thm)],[f_320]) ).
tff(c_169218,plain,
! [A_10244] :
( v2_membered('#skF_35'(A_10244))
| ~ v2_membered(u1_struct_0(A_10244))
| ~ l1_struct_0(A_10244)
| v3_struct_0(A_10244) ),
inference(resolution,[status(thm)],[c_167025,c_158]) ).
tff(c_169225,plain,
( v2_membered('#skF_35'(k9_waybel34('#skF_1')))
| ~ l1_struct_0(k9_waybel34('#skF_1'))
| v3_struct_0(k9_waybel34('#skF_1')) ),
inference(resolution,[status(thm)],[c_133711,c_169218]) ).
tff(c_169280,plain,
~ l1_struct_0(k9_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_169225]) ).
tff(c_169287,plain,
~ l1_altcat_1(k9_waybel34('#skF_1')),
inference(resolution,[status(thm)],[c_520,c_169280]) ).
tff(c_169291,plain,
( v2_setfam_1('#skF_1')
| v1_xboole_0('#skF_1') ),
inference(resolution,[status(thm)],[c_168084,c_169287]) ).
tff(c_169295,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107633,c_14,c_169291]) ).
tff(c_169297,plain,
l1_struct_0(k9_waybel34('#skF_1')),
inference(splitRight,[status(thm)],[c_169225]) ).
tff(c_146,plain,
! [A_29] :
( v5_membered(A_29)
| ~ v1_xboole_0(A_29) ),
inference(cnfTransformation,[status(thm)],[f_304]) ).
tff(c_133760,plain,
! [B_7209,A_7210] :
( v4_ordinal2(B_7209)
| ~ m1_subset_1(B_7209,A_7210)
| ~ v5_membered(A_7210) ),
inference(cnfTransformation,[status(thm)],[f_268]) ).
tff(c_133780,plain,
( v4_ordinal2('#skF_2')
| ~ v5_membered(u1_struct_0(k9_waybel34('#skF_1'))) ),
inference(resolution,[status(thm)],[c_107366,c_133760]) ).
tff(c_133781,plain,
~ v5_membered(u1_struct_0(k9_waybel34('#skF_1'))),
inference(splitLeft,[status(thm)],[c_133780]) ).
tff(c_133785,plain,
~ v1_xboole_0(u1_struct_0(k9_waybel34('#skF_1'))),
inference(resolution,[status(thm)],[c_146,c_133781]) ).
tff(c_133888,plain,
! [B_7225,A_7226] :
( l2_altcat_1(B_7225)
| ~ m1_altcat_2(B_7225,A_7226)
| ~ l2_altcat_1(A_7226) ),
inference(cnfTransformation,[status(thm)],[f_1075]) ).
tff(c_133895,plain,
! [A_369] :
( l2_altcat_1(k9_waybel34(A_369))
| ~ l2_altcat_1(k5_waybel34(A_369))
| v2_setfam_1(A_369) ),
inference(resolution,[status(thm)],[c_510,c_133888]) ).
tff(c_256,plain,
! [A_63] :
( v1_altcat_2(A_63)
| ~ v12_altcat_1(A_63)
| v3_struct_0(A_63)
| ~ l2_altcat_1(A_63) ),
inference(cnfTransformation,[status(thm)],[f_533]) ).
tff(c_137046,plain,
! [A_7538] :
( l2_altcat_1(k9_waybel34(A_7538))
| ~ l2_altcat_1(k5_waybel34(A_7538))
| v2_setfam_1(A_7538) ),
inference(resolution,[status(thm)],[c_510,c_133888]) ).
tff(c_137853,plain,
! [A_7658] :
( l1_altcat_1(k9_waybel34(A_7658))
| ~ l2_altcat_1(k5_waybel34(A_7658))
| v2_setfam_1(A_7658) ),
inference(resolution,[status(thm)],[c_137046,c_526]) ).
tff(c_137857,plain,
! [A_364] :
( l1_altcat_1(k9_waybel34(A_364))
| v2_setfam_1(A_364)
| v1_xboole_0(A_364) ),
inference(resolution,[status(thm)],[c_488,c_137853]) ).
tff(c_135510,plain,
! [A_7432] :
( m1_subset_1('#skF_35'(A_7432),k1_zfmisc_1(u1_struct_0(A_7432)))
| ~ l1_struct_0(A_7432)
| v3_struct_0(A_7432) ),
inference(cnfTransformation,[status(thm)],[f_1536]) ).
tff(c_160,plain,
! [B_35,A_33] :
( v1_membered(B_35)
| ~ m1_subset_1(B_35,k1_zfmisc_1(A_33))
| ~ v2_membered(A_33) ),
inference(cnfTransformation,[status(thm)],[f_320]) ).
tff(c_139388,plain,
! [A_7835] :
( v1_membered('#skF_35'(A_7835))
| ~ v2_membered(u1_struct_0(A_7835))
| ~ l1_struct_0(A_7835)
| v3_struct_0(A_7835) ),
inference(resolution,[status(thm)],[c_135510,c_160]) ).
tff(c_139395,plain,
( v1_membered('#skF_35'(k9_waybel34('#skF_1')))
| ~ l1_struct_0(k9_waybel34('#skF_1'))
| v3_struct_0(k9_waybel34('#skF_1')) ),
inference(resolution,[status(thm)],[c_133711,c_139388]) ).
tff(c_139596,plain,
~ l1_struct_0(k9_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_139395]) ).
tff(c_139603,plain,
~ l1_altcat_1(k9_waybel34('#skF_1')),
inference(resolution,[status(thm)],[c_520,c_139596]) ).
tff(c_139607,plain,
( v2_setfam_1('#skF_1')
| v1_xboole_0('#skF_1') ),
inference(resolution,[status(thm)],[c_137857,c_139603]) ).
tff(c_139611,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107633,c_14,c_139607]) ).
tff(c_139613,plain,
l1_struct_0(k9_waybel34('#skF_1')),
inference(splitRight,[status(thm)],[c_139395]) ).
tff(c_139525,plain,
! [A_7855] :
( v2_membered('#skF_35'(A_7855))
| ~ v2_membered(u1_struct_0(A_7855))
| ~ l1_struct_0(A_7855)
| v3_struct_0(A_7855) ),
inference(resolution,[status(thm)],[c_135510,c_158]) ).
tff(c_139532,plain,
( v2_membered('#skF_35'(k9_waybel34('#skF_1')))
| ~ l1_struct_0(k9_waybel34('#skF_1'))
| v3_struct_0(k9_waybel34('#skF_1')) ),
inference(resolution,[status(thm)],[c_133711,c_139525]) ).
tff(c_139650,plain,
( v2_membered('#skF_35'(k9_waybel34('#skF_1')))
| v3_struct_0(k9_waybel34('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_139613,c_139532]) ).
tff(c_139651,plain,
v3_struct_0(k9_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_139650]) ).
tff(c_139660,plain,
v2_setfam_1('#skF_1'),
inference(resolution,[status(thm)],[c_139651,c_518]) ).
tff(c_139666,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14,c_139660]) ).
tff(c_139668,plain,
~ v3_struct_0(k9_waybel34('#skF_1')),
inference(splitRight,[status(thm)],[c_139650]) ).
tff(c_139710,plain,
( v1_altcat_2(k9_waybel34('#skF_1'))
| ~ v12_altcat_1(k9_waybel34('#skF_1'))
| ~ l2_altcat_1(k9_waybel34('#skF_1')) ),
inference(resolution,[status(thm)],[c_256,c_139668]) ).
tff(c_139728,plain,
~ l2_altcat_1(k9_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_139710]) ).
tff(c_139731,plain,
( ~ l2_altcat_1(k5_waybel34('#skF_1'))
| v2_setfam_1('#skF_1') ),
inference(resolution,[status(thm)],[c_133895,c_139728]) ).
tff(c_139734,plain,
~ l2_altcat_1(k5_waybel34('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_14,c_139731]) ).
tff(c_139737,plain,
v1_xboole_0('#skF_1'),
inference(resolution,[status(thm)],[c_488,c_139734]) ).
tff(c_139741,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107633,c_139737]) ).
tff(c_139743,plain,
l2_altcat_1(k9_waybel34('#skF_1')),
inference(splitRight,[status(thm)],[c_139710]) ).
tff(c_137209,plain,
! [A_7571,C_7572,B_7573] :
( m1_subset_1(A_7571,C_7572)
| ~ m1_subset_1(B_7573,k1_zfmisc_1(C_7572))
| ~ r2_hidden(A_7571,B_7573) ),
inference(cnfTransformation,[status(thm)],[f_1634]) ).
tff(c_138241,plain,
! [A_7707,B_7708,A_7709] :
( m1_subset_1(A_7707,B_7708)
| ~ r2_hidden(A_7707,A_7709)
| ~ r1_tarski(A_7709,B_7708) ),
inference(resolution,[status(thm)],[c_880,c_137209]) ).
tff(c_140423,plain,
! [A_8117,B_8118,B_8119] :
( m1_subset_1(A_8117,B_8118)
| ~ r1_tarski(B_8119,B_8118)
| v1_xboole_0(B_8119)
| ~ m1_subset_1(A_8117,B_8119) ),
inference(resolution,[status(thm)],[c_876,c_138241]) ).
tff(c_164311,plain,
! [A_9731,A_9732,B_9733] :
( m1_subset_1(A_9731,u1_struct_0(A_9732))
| v1_xboole_0(u1_struct_0(B_9733))
| ~ m1_subset_1(A_9731,u1_struct_0(B_9733))
| ~ m1_altcat_2(B_9733,A_9732)
| ~ l2_altcat_1(B_9733)
| ~ l2_altcat_1(A_9732) ),
inference(resolution,[status(thm)],[c_388,c_140423]) ).
tff(c_164421,plain,
! [A_9732] :
( m1_subset_1('#skF_2',u1_struct_0(A_9732))
| v1_xboole_0(u1_struct_0(k9_waybel34('#skF_1')))
| ~ m1_altcat_2(k9_waybel34('#skF_1'),A_9732)
| ~ l2_altcat_1(k9_waybel34('#skF_1'))
| ~ l2_altcat_1(A_9732) ),
inference(resolution,[status(thm)],[c_107366,c_164311]) ).
tff(c_164469,plain,
! [A_9732] :
( m1_subset_1('#skF_2',u1_struct_0(A_9732))
| v1_xboole_0(u1_struct_0(k9_waybel34('#skF_1')))
| ~ m1_altcat_2(k9_waybel34('#skF_1'),A_9732)
| ~ l2_altcat_1(A_9732) ),
inference(demodulation,[status(thm),theory(equality)],[c_139743,c_164421]) ).
tff(c_164471,plain,
! [A_9734] :
( m1_subset_1('#skF_2',u1_struct_0(A_9734))
| ~ m1_altcat_2(k9_waybel34('#skF_1'),A_9734)
| ~ l2_altcat_1(A_9734) ),
inference(negUnitSimplification,[status(thm)],[c_133785,c_164469]) ).
tff(c_84,plain,
! [B_19,A_17] :
( v1_rat_1(B_19)
| ~ m1_subset_1(B_19,A_17)
| ~ v3_membered(A_17) ),
inference(cnfTransformation,[status(thm)],[f_182]) ).
tff(c_164589,plain,
! [A_9734] :
( v1_rat_1('#skF_2')
| ~ v3_membered(u1_struct_0(A_9734))
| ~ m1_altcat_2(k9_waybel34('#skF_1'),A_9734)
| ~ l2_altcat_1(A_9734) ),
inference(resolution,[status(thm)],[c_164471,c_84]) ).
tff(c_164615,plain,
! [A_9737] :
( ~ v3_membered(u1_struct_0(A_9737))
| ~ m1_altcat_2(k9_waybel34('#skF_1'),A_9737)
| ~ l2_altcat_1(A_9737) ),
inference(splitLeft,[status(thm)],[c_164589]) ).
tff(c_164619,plain,
( ~ v3_membered(u1_struct_0(k5_waybel34('#skF_1')))
| ~ l2_altcat_1(k5_waybel34('#skF_1'))
| v2_setfam_1('#skF_1') ),
inference(resolution,[status(thm)],[c_510,c_164615]) ).
tff(c_164622,plain,
( ~ v3_membered(u1_struct_0(k5_waybel34('#skF_1')))
| ~ l2_altcat_1(k5_waybel34('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_14,c_164619]) ).
tff(c_164623,plain,
~ l2_altcat_1(k5_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_164622]) ).
tff(c_164626,plain,
v1_xboole_0('#skF_1'),
inference(resolution,[status(thm)],[c_488,c_164623]) ).
tff(c_164630,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107633,c_164626]) ).
tff(c_164632,plain,
l2_altcat_1(k5_waybel34('#skF_1')),
inference(splitRight,[status(thm)],[c_164622]) ).
tff(c_164481,plain,
! [A_464] :
( r2_hidden(u1_struct_0('#skF_2'),A_464)
| ~ l1_orders_2('#skF_2')
| ~ v2_lattice3('#skF_2')
| ~ v1_lattice3('#skF_2')
| ~ v4_orders_2('#skF_2')
| ~ v3_orders_2('#skF_2')
| ~ v2_orders_2('#skF_2')
| v2_setfam_1(A_464)
| ~ m1_altcat_2(k9_waybel34('#skF_1'),k5_waybel34(A_464))
| ~ l2_altcat_1(k5_waybel34(A_464)) ),
inference(resolution,[status(thm)],[c_164471,c_868]) ).
tff(c_164798,plain,
! [A_9742] :
( r2_hidden(u1_struct_0('#skF_2'),A_9742)
| v2_setfam_1(A_9742)
| ~ m1_altcat_2(k9_waybel34('#skF_1'),k5_waybel34(A_9742))
| ~ l2_altcat_1(k5_waybel34(A_9742)) ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_10,c_8,c_6,c_4,c_2,c_164481]) ).
tff(c_164802,plain,
( r2_hidden(u1_struct_0('#skF_2'),'#skF_1')
| ~ l2_altcat_1(k5_waybel34('#skF_1'))
| v2_setfam_1('#skF_1') ),
inference(resolution,[status(thm)],[c_510,c_164798]) ).
tff(c_164805,plain,
( r2_hidden(u1_struct_0('#skF_2'),'#skF_1')
| v2_setfam_1('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_164632,c_164802]) ).
tff(c_164807,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14,c_107367,c_164805]) ).
tff(c_164809,plain,
v5_membered(u1_struct_0(k9_waybel34('#skF_1'))),
inference(splitRight,[status(thm)],[c_133780]) ).
tff(c_182,plain,
! [A_45] :
( v4_membered(A_45)
| ~ v5_membered(A_45) ),
inference(cnfTransformation,[status(thm)],[f_363]) ).
tff(c_164834,plain,
v4_membered(u1_struct_0(k9_waybel34('#skF_1'))),
inference(resolution,[status(thm)],[c_164809,c_182]) ).
tff(c_170,plain,
! [B_41,A_39] :
( v3_membered(B_41)
| ~ m1_subset_1(B_41,k1_zfmisc_1(A_39))
| ~ v4_membered(A_39) ),
inference(cnfTransformation,[status(thm)],[f_344]) ).
tff(c_169378,plain,
! [A_10270] :
( v3_membered('#skF_35'(A_10270))
| ~ v4_membered(u1_struct_0(A_10270))
| ~ l1_struct_0(A_10270)
| v3_struct_0(A_10270) ),
inference(resolution,[status(thm)],[c_167025,c_170]) ).
tff(c_169381,plain,
( v3_membered('#skF_35'(k9_waybel34('#skF_1')))
| ~ l1_struct_0(k9_waybel34('#skF_1'))
| v3_struct_0(k9_waybel34('#skF_1')) ),
inference(resolution,[status(thm)],[c_164834,c_169378]) ).
tff(c_169387,plain,
( v3_membered('#skF_35'(k9_waybel34('#skF_1')))
| v3_struct_0(k9_waybel34('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_169297,c_169381]) ).
tff(c_169389,plain,
v3_struct_0(k9_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_169387]) ).
tff(c_169398,plain,
v2_setfam_1('#skF_1'),
inference(resolution,[status(thm)],[c_169389,c_518]) ).
tff(c_169404,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14,c_169398]) ).
tff(c_169406,plain,
~ v3_struct_0(k9_waybel34('#skF_1')),
inference(splitRight,[status(thm)],[c_169387]) ).
tff(c_854,plain,
! [C_451,A_449,B_450] :
( m2_relset_1(C_451,A_449,B_450)
| ~ m1_relset_1(C_451,A_449,B_450) ),
inference(cnfTransformation,[status(thm)],[f_1564]) ).
tff(c_167565,plain,
! [C_10060,A_10061,B_10062] :
( m1_subset_1(C_10060,k1_zfmisc_1(k2_zfmisc_1(A_10061,B_10062)))
| ~ m2_relset_1(C_10060,A_10061,B_10062) ),
inference(cnfTransformation,[status(thm)],[f_1085]) ).
tff(c_882,plain,
! [A_473,C_475,B_474] :
( m1_subset_1(A_473,C_475)
| ~ m1_subset_1(B_474,k1_zfmisc_1(C_475))
| ~ r2_hidden(A_473,B_474) ),
inference(cnfTransformation,[status(thm)],[f_1634]) ).
tff(c_173483,plain,
! [A_10724,A_10725,B_10726,C_10727] :
( m1_subset_1(A_10724,k2_zfmisc_1(A_10725,B_10726))
| ~ r2_hidden(A_10724,C_10727)
| ~ m2_relset_1(C_10727,A_10725,B_10726) ),
inference(resolution,[status(thm)],[c_167565,c_882]) ).
tff(c_177076,plain,
! [A_10959,A_10960,B_10961,B_10962] :
( m1_subset_1(A_10959,k2_zfmisc_1(A_10960,B_10961))
| ~ m2_relset_1(B_10962,A_10960,B_10961)
| v1_xboole_0(B_10962)
| ~ m1_subset_1(A_10959,B_10962) ),
inference(resolution,[status(thm)],[c_876,c_173483]) ).
tff(c_177170,plain,
! [A_10972,A_10973,B_10974,C_10975] :
( m1_subset_1(A_10972,k2_zfmisc_1(A_10973,B_10974))
| v1_xboole_0(C_10975)
| ~ m1_subset_1(A_10972,C_10975)
| ~ m1_relset_1(C_10975,A_10973,B_10974) ),
inference(resolution,[status(thm)],[c_854,c_177076]) ).
tff(c_177256,plain,
! [A_10973,B_10974] :
( m1_subset_1('#skF_2',k2_zfmisc_1(A_10973,B_10974))
| v1_xboole_0(u1_struct_0(k9_waybel34('#skF_1')))
| ~ m1_relset_1(u1_struct_0(k9_waybel34('#skF_1')),A_10973,B_10974) ),
inference(resolution,[status(thm)],[c_107366,c_177170]) ).
tff(c_177366,plain,
v1_xboole_0(u1_struct_0(k9_waybel34('#skF_1'))),
inference(splitLeft,[status(thm)],[c_177256]) ).
tff(c_584,plain,
! [A_413] :
( ~ v1_xboole_0(u1_struct_0(A_413))
| ~ l1_struct_0(A_413)
| v3_struct_0(A_413) ),
inference(cnfTransformation,[status(thm)],[f_1190]) ).
tff(c_177371,plain,
( ~ l1_struct_0(k9_waybel34('#skF_1'))
| v3_struct_0(k9_waybel34('#skF_1')) ),
inference(resolution,[status(thm)],[c_177366,c_584]) ).
tff(c_177389,plain,
v3_struct_0(k9_waybel34('#skF_1')),
inference(demodulation,[status(thm),theory(equality)],[c_169297,c_177371]) ).
tff(c_177391,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_169406,c_177389]) ).
tff(c_177393,plain,
~ v1_xboole_0(u1_struct_0(k9_waybel34('#skF_1'))),
inference(splitRight,[status(thm)],[c_177256]) ).
tff(c_164976,plain,
! [A_369] :
( l2_altcat_1(k9_waybel34(A_369))
| ~ l2_altcat_1(k5_waybel34(A_369))
| v2_setfam_1(A_369) ),
inference(resolution,[status(thm)],[c_510,c_164969]) ).
tff(c_169448,plain,
( v1_altcat_2(k9_waybel34('#skF_1'))
| ~ v12_altcat_1(k9_waybel34('#skF_1'))
| ~ l2_altcat_1(k9_waybel34('#skF_1')) ),
inference(resolution,[status(thm)],[c_256,c_169406]) ).
tff(c_169481,plain,
~ l2_altcat_1(k9_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_169448]) ).
tff(c_169484,plain,
( ~ l2_altcat_1(k5_waybel34('#skF_1'))
| v2_setfam_1('#skF_1') ),
inference(resolution,[status(thm)],[c_164976,c_169481]) ).
tff(c_169487,plain,
~ l2_altcat_1(k5_waybel34('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_14,c_169484]) ).
tff(c_169490,plain,
v1_xboole_0('#skF_1'),
inference(resolution,[status(thm)],[c_488,c_169487]) ).
tff(c_169494,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107633,c_169490]) ).
tff(c_169496,plain,
l2_altcat_1(k9_waybel34('#skF_1')),
inference(splitRight,[status(thm)],[c_169448]) ).
tff(c_167399,plain,
! [A_10026,C_10027,B_10028] :
( m1_subset_1(A_10026,C_10027)
| ~ m1_subset_1(B_10028,k1_zfmisc_1(C_10027))
| ~ r2_hidden(A_10026,B_10028) ),
inference(cnfTransformation,[status(thm)],[f_1634]) ).
tff(c_168257,plain,
! [A_10176,B_10177,A_10178] :
( m1_subset_1(A_10176,B_10177)
| ~ r2_hidden(A_10176,A_10178)
| ~ r1_tarski(A_10178,B_10177) ),
inference(resolution,[status(thm)],[c_880,c_167399]) ).
tff(c_170590,plain,
! [A_10560,B_10561,B_10562] :
( m1_subset_1(A_10560,B_10561)
| ~ r1_tarski(B_10562,B_10561)
| v1_xboole_0(B_10562)
| ~ m1_subset_1(A_10560,B_10562) ),
inference(resolution,[status(thm)],[c_876,c_168257]) ).
tff(c_197473,plain,
! [A_12140,A_12141,B_12142] :
( m1_subset_1(A_12140,u1_struct_0(A_12141))
| v1_xboole_0(u1_struct_0(B_12142))
| ~ m1_subset_1(A_12140,u1_struct_0(B_12142))
| ~ m1_altcat_2(B_12142,A_12141)
| ~ l2_altcat_1(B_12142)
| ~ l2_altcat_1(A_12141) ),
inference(resolution,[status(thm)],[c_388,c_170590]) ).
tff(c_197601,plain,
! [A_12141] :
( m1_subset_1('#skF_2',u1_struct_0(A_12141))
| v1_xboole_0(u1_struct_0(k9_waybel34('#skF_1')))
| ~ m1_altcat_2(k9_waybel34('#skF_1'),A_12141)
| ~ l2_altcat_1(k9_waybel34('#skF_1'))
| ~ l2_altcat_1(A_12141) ),
inference(resolution,[status(thm)],[c_107366,c_197473]) ).
tff(c_197658,plain,
! [A_12141] :
( m1_subset_1('#skF_2',u1_struct_0(A_12141))
| v1_xboole_0(u1_struct_0(k9_waybel34('#skF_1')))
| ~ m1_altcat_2(k9_waybel34('#skF_1'),A_12141)
| ~ l2_altcat_1(A_12141) ),
inference(demodulation,[status(thm),theory(equality)],[c_169496,c_197601]) ).
tff(c_197783,plain,
! [A_12145] :
( m1_subset_1('#skF_2',u1_struct_0(A_12145))
| ~ m1_altcat_2(k9_waybel34('#skF_1'),A_12145)
| ~ l2_altcat_1(A_12145) ),
inference(negUnitSimplification,[status(thm)],[c_177393,c_197658]) ).
tff(c_197793,plain,
! [A_464] :
( r2_hidden(u1_struct_0('#skF_2'),A_464)
| ~ l1_orders_2('#skF_2')
| ~ v2_lattice3('#skF_2')
| ~ v1_lattice3('#skF_2')
| ~ v4_orders_2('#skF_2')
| ~ v3_orders_2('#skF_2')
| ~ v2_orders_2('#skF_2')
| v2_setfam_1(A_464)
| ~ m1_altcat_2(k9_waybel34('#skF_1'),k5_waybel34(A_464))
| ~ l2_altcat_1(k5_waybel34(A_464)) ),
inference(resolution,[status(thm)],[c_197783,c_868]) ).
tff(c_197927,plain,
! [A_12146] :
( r2_hidden(u1_struct_0('#skF_2'),A_12146)
| v2_setfam_1(A_12146)
| ~ m1_altcat_2(k9_waybel34('#skF_1'),k5_waybel34(A_12146))
| ~ l2_altcat_1(k5_waybel34(A_12146)) ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_10,c_8,c_6,c_4,c_2,c_197793]) ).
tff(c_197931,plain,
( r2_hidden(u1_struct_0('#skF_2'),'#skF_1')
| ~ l2_altcat_1(k5_waybel34('#skF_1'))
| v2_setfam_1('#skF_1') ),
inference(resolution,[status(thm)],[c_510,c_197927]) ).
tff(c_197934,plain,
~ l2_altcat_1(k5_waybel34('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_14,c_14,c_107367,c_197931]) ).
tff(c_197937,plain,
v1_xboole_0('#skF_1'),
inference(resolution,[status(thm)],[c_488,c_197934]) ).
tff(c_197941,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107633,c_197937]) ).
tff(c_197943,plain,
~ v1_orders_2('#skF_2'),
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_259682,plain,
! [B_17173,A_17174] :
( l2_altcat_1(B_17173)
| ~ m1_altcat_2(B_17173,A_17174)
| ~ l2_altcat_1(A_17174) ),
inference(cnfTransformation,[status(thm)],[f_1075]) ).
tff(c_293225,plain,
! [A_19908] :
( l2_altcat_1(k9_waybel34(A_19908))
| ~ l2_altcat_1(k5_waybel34(A_19908))
| v2_setfam_1(A_19908) ),
inference(resolution,[status(thm)],[c_510,c_259682]) ).
tff(c_293637,plain,
! [A_19964] :
( l1_altcat_1(k9_waybel34(A_19964))
| ~ l2_altcat_1(k5_waybel34(A_19964))
| v2_setfam_1(A_19964) ),
inference(resolution,[status(thm)],[c_293225,c_526]) ).
tff(c_293641,plain,
! [A_364] :
( l1_altcat_1(k9_waybel34(A_364))
| v2_setfam_1(A_364)
| v1_xboole_0(A_364) ),
inference(resolution,[status(thm)],[c_488,c_293637]) ).
tff(c_197942,plain,
m1_subset_1('#skF_2',u1_struct_0(k9_waybel34('#skF_1'))),
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_259884,plain,
! [B_17191,A_17192] :
( v4_ordinal2(B_17191)
| ~ m1_subset_1(B_17191,A_17192)
| ~ v5_membered(A_17192) ),
inference(cnfTransformation,[status(thm)],[f_268]) ).
tff(c_259912,plain,
( v4_ordinal2('#skF_2')
| ~ v5_membered(u1_struct_0(k9_waybel34('#skF_1'))) ),
inference(resolution,[status(thm)],[c_197942,c_259884]) ).
tff(c_259913,plain,
~ v5_membered(u1_struct_0(k9_waybel34('#skF_1'))),
inference(splitLeft,[status(thm)],[c_259912]) ).
tff(c_259917,plain,
~ v1_xboole_0(u1_struct_0(k9_waybel34('#skF_1'))),
inference(resolution,[status(thm)],[c_146,c_259913]) ).
tff(c_259689,plain,
! [A_369] :
( l2_altcat_1(k9_waybel34(A_369))
| ~ l2_altcat_1(k5_waybel34(A_369))
| v2_setfam_1(A_369) ),
inference(resolution,[status(thm)],[c_510,c_259682]) ).
tff(c_264521,plain,
! [A_17699,B_17700] :
( v4_orders_2(k3_yellow21(A_17699,B_17700))
| ~ m1_subset_1(B_17700,u1_struct_0(A_17699))
| ~ l2_altcat_1(A_17699)
| ~ v2_yellow21(A_17699)
| ~ v12_altcat_1(A_17699)
| ~ v11_altcat_1(A_17699)
| ~ v2_altcat_1(A_17699)
| v3_struct_0(A_17699) ),
inference(cnfTransformation,[status(thm)],[f_997]) ).
tff(c_264540,plain,
( v4_orders_2(k3_yellow21(k9_waybel34('#skF_1'),'#skF_2'))
| ~ l2_altcat_1(k9_waybel34('#skF_1'))
| ~ v2_yellow21(k9_waybel34('#skF_1'))
| ~ v12_altcat_1(k9_waybel34('#skF_1'))
| ~ v11_altcat_1(k9_waybel34('#skF_1'))
| ~ v2_altcat_1(k9_waybel34('#skF_1'))
| v3_struct_0(k9_waybel34('#skF_1')) ),
inference(resolution,[status(thm)],[c_197942,c_264521]) ).
tff(c_264541,plain,
~ v2_altcat_1(k9_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_264540]) ).
tff(c_264544,plain,
v2_setfam_1('#skF_1'),
inference(resolution,[status(thm)],[c_516,c_264541]) ).
tff(c_264548,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14,c_264544]) ).
tff(c_264549,plain,
( ~ v11_altcat_1(k9_waybel34('#skF_1'))
| ~ v12_altcat_1(k9_waybel34('#skF_1'))
| ~ v2_yellow21(k9_waybel34('#skF_1'))
| ~ l2_altcat_1(k9_waybel34('#skF_1'))
| v3_struct_0(k9_waybel34('#skF_1'))
| v4_orders_2(k3_yellow21(k9_waybel34('#skF_1'),'#skF_2')) ),
inference(splitRight,[status(thm)],[c_264540]) ).
tff(c_264711,plain,
~ l2_altcat_1(k9_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_264549]) ).
tff(c_264714,plain,
( ~ l2_altcat_1(k5_waybel34('#skF_1'))
| v2_setfam_1('#skF_1') ),
inference(resolution,[status(thm)],[c_259689,c_264711]) ).
tff(c_264717,plain,
~ l2_altcat_1(k5_waybel34('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_14,c_264714]) ).
tff(c_264720,plain,
v1_xboole_0('#skF_1'),
inference(resolution,[status(thm)],[c_488,c_264717]) ).
tff(c_264724,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198057,c_264720]) ).
tff(c_264726,plain,
l2_altcat_1(k9_waybel34('#skF_1')),
inference(splitRight,[status(thm)],[c_264549]) ).
tff(c_261444,plain,
! [A_17376,C_17377,B_17378] :
( m1_subset_1(A_17376,C_17377)
| ~ m1_subset_1(B_17378,k1_zfmisc_1(C_17377))
| ~ r2_hidden(A_17376,B_17378) ),
inference(cnfTransformation,[status(thm)],[f_1634]) ).
tff(c_263150,plain,
! [A_17596,B_17597,A_17598] :
( m1_subset_1(A_17596,B_17597)
| ~ r2_hidden(A_17596,A_17598)
| ~ r1_tarski(A_17598,B_17597) ),
inference(resolution,[status(thm)],[c_880,c_261444]) ).
tff(c_266016,plain,
! [A_18009,B_18010,B_18011] :
( m1_subset_1(A_18009,B_18010)
| ~ r1_tarski(B_18011,B_18010)
| v1_xboole_0(B_18011)
| ~ m1_subset_1(A_18009,B_18011) ),
inference(resolution,[status(thm)],[c_876,c_263150]) ).
tff(c_290532,plain,
! [A_19632,A_19633,B_19634] :
( m1_subset_1(A_19632,u1_struct_0(A_19633))
| v1_xboole_0(u1_struct_0(B_19634))
| ~ m1_subset_1(A_19632,u1_struct_0(B_19634))
| ~ m1_altcat_2(B_19634,A_19633)
| ~ l2_altcat_1(B_19634)
| ~ l2_altcat_1(A_19633) ),
inference(resolution,[status(thm)],[c_388,c_266016]) ).
tff(c_290631,plain,
! [A_19633] :
( m1_subset_1('#skF_2',u1_struct_0(A_19633))
| v1_xboole_0(u1_struct_0(k9_waybel34('#skF_1')))
| ~ m1_altcat_2(k9_waybel34('#skF_1'),A_19633)
| ~ l2_altcat_1(k9_waybel34('#skF_1'))
| ~ l2_altcat_1(A_19633) ),
inference(resolution,[status(thm)],[c_197942,c_290532]) ).
tff(c_290673,plain,
! [A_19633] :
( m1_subset_1('#skF_2',u1_struct_0(A_19633))
| v1_xboole_0(u1_struct_0(k9_waybel34('#skF_1')))
| ~ m1_altcat_2(k9_waybel34('#skF_1'),A_19633)
| ~ l2_altcat_1(A_19633) ),
inference(demodulation,[status(thm),theory(equality)],[c_264726,c_290631]) ).
tff(c_290675,plain,
! [A_19635] :
( m1_subset_1('#skF_2',u1_struct_0(A_19635))
| ~ m1_altcat_2(k9_waybel34('#skF_1'),A_19635)
| ~ l2_altcat_1(A_19635) ),
inference(negUnitSimplification,[status(thm)],[c_259917,c_290673]) ).
tff(c_872,plain,
! [B_466,A_464] :
( v1_orders_2(B_466)
| ~ m1_subset_1(B_466,u1_struct_0(k5_waybel34(A_464)))
| ~ l1_orders_2(B_466)
| ~ v2_lattice3(B_466)
| ~ v1_lattice3(B_466)
| ~ v4_orders_2(B_466)
| ~ v3_orders_2(B_466)
| ~ v2_orders_2(B_466)
| v2_setfam_1(A_464) ),
inference(cnfTransformation,[status(thm)],[f_1614]) ).
tff(c_290697,plain,
! [A_464] :
( v1_orders_2('#skF_2')
| ~ l1_orders_2('#skF_2')
| ~ v2_lattice3('#skF_2')
| ~ v1_lattice3('#skF_2')
| ~ v4_orders_2('#skF_2')
| ~ v3_orders_2('#skF_2')
| ~ v2_orders_2('#skF_2')
| v2_setfam_1(A_464)
| ~ m1_altcat_2(k9_waybel34('#skF_1'),k5_waybel34(A_464))
| ~ l2_altcat_1(k5_waybel34(A_464)) ),
inference(resolution,[status(thm)],[c_290675,c_872]) ).
tff(c_290785,plain,
! [A_464] :
( v1_orders_2('#skF_2')
| v2_setfam_1(A_464)
| ~ m1_altcat_2(k9_waybel34('#skF_1'),k5_waybel34(A_464))
| ~ l2_altcat_1(k5_waybel34(A_464)) ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_10,c_8,c_6,c_4,c_2,c_290697]) ).
tff(c_290824,plain,
! [A_19636] :
( v2_setfam_1(A_19636)
| ~ m1_altcat_2(k9_waybel34('#skF_1'),k5_waybel34(A_19636))
| ~ l2_altcat_1(k5_waybel34(A_19636)) ),
inference(negUnitSimplification,[status(thm)],[c_197943,c_290785]) ).
tff(c_290828,plain,
( ~ l2_altcat_1(k5_waybel34('#skF_1'))
| v2_setfam_1('#skF_1') ),
inference(resolution,[status(thm)],[c_510,c_290824]) ).
tff(c_290831,plain,
~ l2_altcat_1(k5_waybel34('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_14,c_14,c_290828]) ).
tff(c_290834,plain,
v1_xboole_0('#skF_1'),
inference(resolution,[status(thm)],[c_488,c_290831]) ).
tff(c_290838,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198057,c_290834]) ).
tff(c_290840,plain,
v5_membered(u1_struct_0(k9_waybel34('#skF_1'))),
inference(splitRight,[status(thm)],[c_259912]) ).
tff(c_292481,plain,
! [A_19855] :
( m1_subset_1('#skF_35'(A_19855),k1_zfmisc_1(u1_struct_0(A_19855)))
| ~ l1_struct_0(A_19855)
| v3_struct_0(A_19855) ),
inference(cnfTransformation,[status(thm)],[f_1536]) ).
tff(c_244,plain,
! [B_58,A_56] :
( v2_membered(B_58)
| ~ m1_subset_1(B_58,k1_zfmisc_1(A_56))
| ~ v5_membered(A_56) ),
inference(cnfTransformation,[status(thm)],[f_502]) ).
tff(c_295859,plain,
! [A_20201] :
( v2_membered('#skF_35'(A_20201))
| ~ v5_membered(u1_struct_0(A_20201))
| ~ l1_struct_0(A_20201)
| v3_struct_0(A_20201) ),
inference(resolution,[status(thm)],[c_292481,c_244]) ).
tff(c_295866,plain,
( v2_membered('#skF_35'(k9_waybel34('#skF_1')))
| ~ l1_struct_0(k9_waybel34('#skF_1'))
| v3_struct_0(k9_waybel34('#skF_1')) ),
inference(resolution,[status(thm)],[c_290840,c_295859]) ).
tff(c_296760,plain,
~ l1_struct_0(k9_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_295866]) ).
tff(c_296767,plain,
~ l1_altcat_1(k9_waybel34('#skF_1')),
inference(resolution,[status(thm)],[c_520,c_296760]) ).
tff(c_296771,plain,
( v2_setfam_1('#skF_1')
| v1_xboole_0('#skF_1') ),
inference(resolution,[status(thm)],[c_293641,c_296767]) ).
tff(c_296775,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198057,c_14,c_296771]) ).
tff(c_296777,plain,
l1_struct_0(k9_waybel34('#skF_1')),
inference(splitRight,[status(thm)],[c_295866]) ).
tff(c_148,plain,
! [A_29] :
( v4_membered(A_29)
| ~ v1_xboole_0(A_29) ),
inference(cnfTransformation,[status(thm)],[f_304]) ).
tff(c_228148,plain,
! [B_14661,A_14662] :
( v1_int_1(B_14661)
| ~ m1_subset_1(B_14661,A_14662)
| ~ v4_membered(A_14662) ),
inference(cnfTransformation,[status(thm)],[f_233]) ).
tff(c_228164,plain,
( v1_int_1('#skF_2')
| ~ v4_membered(u1_struct_0(k9_waybel34('#skF_1'))) ),
inference(resolution,[status(thm)],[c_197942,c_228148]) ).
tff(c_228171,plain,
~ v4_membered(u1_struct_0(k9_waybel34('#skF_1'))),
inference(splitLeft,[status(thm)],[c_228164]) ).
tff(c_228175,plain,
~ v1_xboole_0(u1_struct_0(k9_waybel34('#skF_1'))),
inference(resolution,[status(thm)],[c_148,c_228171]) ).
tff(c_228478,plain,
! [B_14702,A_14703] :
( l2_altcat_1(B_14702)
| ~ m1_altcat_2(B_14702,A_14703)
| ~ l2_altcat_1(A_14703) ),
inference(cnfTransformation,[status(thm)],[f_1075]) ).
tff(c_228485,plain,
! [A_369] :
( l2_altcat_1(k9_waybel34(A_369))
| ~ l2_altcat_1(k5_waybel34(A_369))
| v2_setfam_1(A_369) ),
inference(resolution,[status(thm)],[c_510,c_228478]) ).
tff(c_230415,plain,
! [A_14931] :
( l2_altcat_1(k9_waybel34(A_14931))
| ~ l2_altcat_1(k5_waybel34(A_14931))
| v2_setfam_1(A_14931) ),
inference(resolution,[status(thm)],[c_510,c_228478]) ).
tff(c_231856,plain,
! [A_15079] :
( l1_altcat_1(k9_waybel34(A_15079))
| ~ l2_altcat_1(k5_waybel34(A_15079))
| v2_setfam_1(A_15079) ),
inference(resolution,[status(thm)],[c_230415,c_526]) ).
tff(c_231860,plain,
! [A_364] :
( l1_altcat_1(k9_waybel34(A_364))
| v2_setfam_1(A_364)
| v1_xboole_0(A_364) ),
inference(resolution,[status(thm)],[c_488,c_231856]) ).
tff(c_198691,plain,
! [B_12276,A_12277] :
( l2_altcat_1(B_12276)
| ~ m1_altcat_2(B_12276,A_12277)
| ~ l2_altcat_1(A_12277) ),
inference(cnfTransformation,[status(thm)],[f_1075]) ).
tff(c_198698,plain,
! [A_369] :
( l2_altcat_1(k9_waybel34(A_369))
| ~ l2_altcat_1(k5_waybel34(A_369))
| v2_setfam_1(A_369) ),
inference(resolution,[status(thm)],[c_510,c_198691]) ).
tff(c_198286,plain,
! [B_12230,A_12231] :
( v1_xreal_0(B_12230)
| ~ m1_subset_1(B_12230,A_12231)
| ~ v2_membered(A_12231) ),
inference(cnfTransformation,[status(thm)],[f_105]) ).
tff(c_198302,plain,
( v1_xreal_0('#skF_2')
| ~ v2_membered(u1_struct_0(k9_waybel34('#skF_1'))) ),
inference(resolution,[status(thm)],[c_197942,c_198286]) ).
tff(c_198304,plain,
~ v2_membered(u1_struct_0(k9_waybel34('#skF_1'))),
inference(splitLeft,[status(thm)],[c_198302]) ).
tff(c_198308,plain,
~ v1_xboole_0(u1_struct_0(k9_waybel34('#skF_1'))),
inference(resolution,[status(thm)],[c_152,c_198304]) ).
tff(c_200591,plain,
! [A_12501,C_12502,B_12503] :
( m1_subset_1(A_12501,C_12502)
| ~ m1_subset_1(B_12503,k1_zfmisc_1(C_12502))
| ~ r2_hidden(A_12501,B_12503) ),
inference(cnfTransformation,[status(thm)],[f_1634]) ).
tff(c_201880,plain,
! [A_12663,B_12664,A_12665] :
( m1_subset_1(A_12663,B_12664)
| ~ r2_hidden(A_12663,A_12665)
| ~ r1_tarski(A_12665,B_12664) ),
inference(resolution,[status(thm)],[c_880,c_200591]) ).
tff(c_205173,plain,
! [A_13107,B_13108,B_13109] :
( m1_subset_1(A_13107,B_13108)
| ~ r1_tarski(B_13109,B_13108)
| v1_xboole_0(B_13109)
| ~ m1_subset_1(A_13107,B_13109) ),
inference(resolution,[status(thm)],[c_876,c_201880]) ).
tff(c_227816,plain,
! [A_14653,A_14654,B_14655] :
( m1_subset_1(A_14653,u1_struct_0(A_14654))
| v1_xboole_0(u1_struct_0(B_14655))
| ~ m1_subset_1(A_14653,u1_struct_0(B_14655))
| ~ m1_altcat_2(B_14655,A_14654)
| ~ l2_altcat_1(B_14655)
| ~ l2_altcat_1(A_14654) ),
inference(resolution,[status(thm)],[c_388,c_205173]) ).
tff(c_227905,plain,
! [A_14654] :
( m1_subset_1('#skF_2',u1_struct_0(A_14654))
| v1_xboole_0(u1_struct_0(k9_waybel34('#skF_1')))
| ~ m1_altcat_2(k9_waybel34('#skF_1'),A_14654)
| ~ l2_altcat_1(k9_waybel34('#skF_1'))
| ~ l2_altcat_1(A_14654) ),
inference(resolution,[status(thm)],[c_197942,c_227816]) ).
tff(c_227942,plain,
! [A_14654] :
( m1_subset_1('#skF_2',u1_struct_0(A_14654))
| ~ m1_altcat_2(k9_waybel34('#skF_1'),A_14654)
| ~ l2_altcat_1(k9_waybel34('#skF_1'))
| ~ l2_altcat_1(A_14654) ),
inference(negUnitSimplification,[status(thm)],[c_198308,c_227905]) ).
tff(c_227943,plain,
~ l2_altcat_1(k9_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_227942]) ).
tff(c_227946,plain,
( ~ l2_altcat_1(k5_waybel34('#skF_1'))
| v2_setfam_1('#skF_1') ),
inference(resolution,[status(thm)],[c_198698,c_227943]) ).
tff(c_227949,plain,
~ l2_altcat_1(k5_waybel34('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_14,c_227946]) ).
tff(c_227952,plain,
v1_xboole_0('#skF_1'),
inference(resolution,[status(thm)],[c_488,c_227949]) ).
tff(c_227956,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198057,c_227952]) ).
tff(c_227963,plain,
! [A_14656] :
( m1_subset_1('#skF_2',u1_struct_0(A_14656))
| ~ m1_altcat_2(k9_waybel34('#skF_1'),A_14656)
| ~ l2_altcat_1(A_14656) ),
inference(splitRight,[status(thm)],[c_227942]) ).
tff(c_227975,plain,
! [A_464] :
( v1_orders_2('#skF_2')
| ~ l1_orders_2('#skF_2')
| ~ v2_lattice3('#skF_2')
| ~ v1_lattice3('#skF_2')
| ~ v4_orders_2('#skF_2')
| ~ v3_orders_2('#skF_2')
| ~ v2_orders_2('#skF_2')
| v2_setfam_1(A_464)
| ~ m1_altcat_2(k9_waybel34('#skF_1'),k5_waybel34(A_464))
| ~ l2_altcat_1(k5_waybel34(A_464)) ),
inference(resolution,[status(thm)],[c_227963,c_872]) ).
tff(c_228068,plain,
! [A_464] :
( v1_orders_2('#skF_2')
| v2_setfam_1(A_464)
| ~ m1_altcat_2(k9_waybel34('#skF_1'),k5_waybel34(A_464))
| ~ l2_altcat_1(k5_waybel34(A_464)) ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_10,c_8,c_6,c_4,c_2,c_227975]) ).
tff(c_228098,plain,
! [A_14657] :
( v2_setfam_1(A_14657)
| ~ m1_altcat_2(k9_waybel34('#skF_1'),k5_waybel34(A_14657))
| ~ l2_altcat_1(k5_waybel34(A_14657)) ),
inference(negUnitSimplification,[status(thm)],[c_197943,c_228068]) ).
tff(c_228102,plain,
( ~ l2_altcat_1(k5_waybel34('#skF_1'))
| v2_setfam_1('#skF_1') ),
inference(resolution,[status(thm)],[c_510,c_228098]) ).
tff(c_228105,plain,
~ l2_altcat_1(k5_waybel34('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_14,c_14,c_228102]) ).
tff(c_228108,plain,
v1_xboole_0('#skF_1'),
inference(resolution,[status(thm)],[c_488,c_228105]) ).
tff(c_228112,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198057,c_228108]) ).
tff(c_228114,plain,
v2_membered(u1_struct_0(k9_waybel34('#skF_1'))),
inference(splitRight,[status(thm)],[c_198302]) ).
tff(c_292,plain,
! [A_70] :
( v1_membered(A_70)
| ~ v2_membered(A_70) ),
inference(cnfTransformation,[status(thm)],[f_604]) ).
tff(c_228135,plain,
v1_membered(u1_struct_0(k9_waybel34('#skF_1'))),
inference(resolution,[status(thm)],[c_228114,c_292]) ).
tff(c_231302,plain,
! [A_15018] :
( m1_subset_1('#skF_35'(A_15018),k1_zfmisc_1(u1_struct_0(A_15018)))
| ~ l1_struct_0(A_15018)
| v3_struct_0(A_15018) ),
inference(cnfTransformation,[status(thm)],[f_1536]) ).
tff(c_156,plain,
! [B_32,A_30] :
( v1_membered(B_32)
| ~ m1_subset_1(B_32,k1_zfmisc_1(A_30))
| ~ v1_membered(A_30) ),
inference(cnfTransformation,[status(thm)],[f_311]) ).
tff(c_233823,plain,
! [A_15217] :
( v1_membered('#skF_35'(A_15217))
| ~ v1_membered(u1_struct_0(A_15217))
| ~ l1_struct_0(A_15217)
| v3_struct_0(A_15217) ),
inference(resolution,[status(thm)],[c_231302,c_156]) ).
tff(c_233827,plain,
( v1_membered('#skF_35'(k9_waybel34('#skF_1')))
| ~ l1_struct_0(k9_waybel34('#skF_1'))
| v3_struct_0(k9_waybel34('#skF_1')) ),
inference(resolution,[status(thm)],[c_228135,c_233823]) ).
tff(c_233838,plain,
~ l1_struct_0(k9_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_233827]) ).
tff(c_233845,plain,
~ l1_altcat_1(k9_waybel34('#skF_1')),
inference(resolution,[status(thm)],[c_520,c_233838]) ).
tff(c_233849,plain,
( v2_setfam_1('#skF_1')
| v1_xboole_0('#skF_1') ),
inference(resolution,[status(thm)],[c_231860,c_233845]) ).
tff(c_233853,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198057,c_14,c_233849]) ).
tff(c_233855,plain,
l1_struct_0(k9_waybel34('#skF_1')),
inference(splitRight,[status(thm)],[c_233827]) ).
tff(c_234231,plain,
! [A_15285] :
( v2_membered('#skF_35'(A_15285))
| ~ v2_membered(u1_struct_0(A_15285))
| ~ l1_struct_0(A_15285)
| v3_struct_0(A_15285) ),
inference(resolution,[status(thm)],[c_231302,c_158]) ).
tff(c_234234,plain,
( v2_membered('#skF_35'(k9_waybel34('#skF_1')))
| ~ l1_struct_0(k9_waybel34('#skF_1'))
| v3_struct_0(k9_waybel34('#skF_1')) ),
inference(resolution,[status(thm)],[c_228114,c_234231]) ).
tff(c_234240,plain,
( v2_membered('#skF_35'(k9_waybel34('#skF_1')))
| v3_struct_0(k9_waybel34('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_233855,c_234234]) ).
tff(c_234242,plain,
v3_struct_0(k9_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_234240]) ).
tff(c_234273,plain,
v2_setfam_1('#skF_1'),
inference(resolution,[status(thm)],[c_234242,c_518]) ).
tff(c_234279,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14,c_234273]) ).
tff(c_234281,plain,
~ v3_struct_0(k9_waybel34('#skF_1')),
inference(splitRight,[status(thm)],[c_234240]) ).
tff(c_234323,plain,
( v1_altcat_2(k9_waybel34('#skF_1'))
| ~ v12_altcat_1(k9_waybel34('#skF_1'))
| ~ l2_altcat_1(k9_waybel34('#skF_1')) ),
inference(resolution,[status(thm)],[c_256,c_234281]) ).
tff(c_234333,plain,
~ l2_altcat_1(k9_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_234323]) ).
tff(c_234336,plain,
( ~ l2_altcat_1(k5_waybel34('#skF_1'))
| v2_setfam_1('#skF_1') ),
inference(resolution,[status(thm)],[c_228485,c_234333]) ).
tff(c_234339,plain,
~ l2_altcat_1(k5_waybel34('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_14,c_234336]) ).
tff(c_234365,plain,
v1_xboole_0('#skF_1'),
inference(resolution,[status(thm)],[c_488,c_234339]) ).
tff(c_234369,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198057,c_234365]) ).
tff(c_234371,plain,
l2_altcat_1(k9_waybel34('#skF_1')),
inference(splitRight,[status(thm)],[c_234323]) ).
tff(c_231273,plain,
! [A_15011,C_15012,B_15013] :
( m1_subset_1(A_15011,C_15012)
| ~ m1_subset_1(B_15013,k1_zfmisc_1(C_15012))
| ~ r2_hidden(A_15011,B_15013) ),
inference(cnfTransformation,[status(thm)],[f_1634]) ).
tff(c_231997,plain,
! [A_15094,B_15095,A_15096] :
( m1_subset_1(A_15094,B_15095)
| ~ r2_hidden(A_15094,A_15096)
| ~ r1_tarski(A_15096,B_15095) ),
inference(resolution,[status(thm)],[c_880,c_231273]) ).
tff(c_236882,plain,
! [A_15602,B_15603,B_15604] :
( m1_subset_1(A_15602,B_15603)
| ~ r1_tarski(B_15604,B_15603)
| v1_xboole_0(B_15604)
| ~ m1_subset_1(A_15602,B_15604) ),
inference(resolution,[status(thm)],[c_876,c_231997]) ).
tff(c_259179,plain,
! [A_17139,A_17140,B_17141] :
( m1_subset_1(A_17139,u1_struct_0(A_17140))
| v1_xboole_0(u1_struct_0(B_17141))
| ~ m1_subset_1(A_17139,u1_struct_0(B_17141))
| ~ m1_altcat_2(B_17141,A_17140)
| ~ l2_altcat_1(B_17141)
| ~ l2_altcat_1(A_17140) ),
inference(resolution,[status(thm)],[c_388,c_236882]) ).
tff(c_259268,plain,
! [A_17140] :
( m1_subset_1('#skF_2',u1_struct_0(A_17140))
| v1_xboole_0(u1_struct_0(k9_waybel34('#skF_1')))
| ~ m1_altcat_2(k9_waybel34('#skF_1'),A_17140)
| ~ l2_altcat_1(k9_waybel34('#skF_1'))
| ~ l2_altcat_1(A_17140) ),
inference(resolution,[status(thm)],[c_197942,c_259179]) ).
tff(c_259305,plain,
! [A_17140] :
( m1_subset_1('#skF_2',u1_struct_0(A_17140))
| v1_xboole_0(u1_struct_0(k9_waybel34('#skF_1')))
| ~ m1_altcat_2(k9_waybel34('#skF_1'),A_17140)
| ~ l2_altcat_1(A_17140) ),
inference(demodulation,[status(thm),theory(equality)],[c_234371,c_259268]) ).
tff(c_259307,plain,
! [A_17142] :
( m1_subset_1('#skF_2',u1_struct_0(A_17142))
| ~ m1_altcat_2(k9_waybel34('#skF_1'),A_17142)
| ~ l2_altcat_1(A_17142) ),
inference(negUnitSimplification,[status(thm)],[c_228175,c_259305]) ).
tff(c_259322,plain,
! [A_464] :
( v1_orders_2('#skF_2')
| ~ l1_orders_2('#skF_2')
| ~ v2_lattice3('#skF_2')
| ~ v1_lattice3('#skF_2')
| ~ v4_orders_2('#skF_2')
| ~ v3_orders_2('#skF_2')
| ~ v2_orders_2('#skF_2')
| v2_setfam_1(A_464)
| ~ m1_altcat_2(k9_waybel34('#skF_1'),k5_waybel34(A_464))
| ~ l2_altcat_1(k5_waybel34(A_464)) ),
inference(resolution,[status(thm)],[c_259307,c_872]) ).
tff(c_259413,plain,
! [A_464] :
( v1_orders_2('#skF_2')
| v2_setfam_1(A_464)
| ~ m1_altcat_2(k9_waybel34('#skF_1'),k5_waybel34(A_464))
| ~ l2_altcat_1(k5_waybel34(A_464)) ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_10,c_8,c_6,c_4,c_2,c_259322]) ).
tff(c_259451,plain,
! [A_17143] :
( v2_setfam_1(A_17143)
| ~ m1_altcat_2(k9_waybel34('#skF_1'),k5_waybel34(A_17143))
| ~ l2_altcat_1(k5_waybel34(A_17143)) ),
inference(negUnitSimplification,[status(thm)],[c_197943,c_259413]) ).
tff(c_259455,plain,
( ~ l2_altcat_1(k5_waybel34('#skF_1'))
| v2_setfam_1('#skF_1') ),
inference(resolution,[status(thm)],[c_510,c_259451]) ).
tff(c_259458,plain,
~ l2_altcat_1(k5_waybel34('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_14,c_14,c_259455]) ).
tff(c_259461,plain,
v1_xboole_0('#skF_1'),
inference(resolution,[status(thm)],[c_488,c_259458]) ).
tff(c_259465,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198057,c_259461]) ).
tff(c_259467,plain,
v4_membered(u1_struct_0(k9_waybel34('#skF_1'))),
inference(splitRight,[status(thm)],[c_228164]) ).
tff(c_296035,plain,
! [A_20222] :
( v3_membered('#skF_35'(A_20222))
| ~ v4_membered(u1_struct_0(A_20222))
| ~ l1_struct_0(A_20222)
| v3_struct_0(A_20222) ),
inference(resolution,[status(thm)],[c_292481,c_170]) ).
tff(c_296042,plain,
( v3_membered('#skF_35'(k9_waybel34('#skF_1')))
| ~ l1_struct_0(k9_waybel34('#skF_1'))
| v3_struct_0(k9_waybel34('#skF_1')) ),
inference(resolution,[status(thm)],[c_259467,c_296035]) ).
tff(c_296855,plain,
( v3_membered('#skF_35'(k9_waybel34('#skF_1')))
| v3_struct_0(k9_waybel34('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_296777,c_296042]) ).
tff(c_296856,plain,
v3_struct_0(k9_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_296855]) ).
tff(c_296865,plain,
v2_setfam_1('#skF_1'),
inference(resolution,[status(thm)],[c_296856,c_518]) ).
tff(c_296871,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14,c_296865]) ).
tff(c_296873,plain,
~ v3_struct_0(k9_waybel34('#skF_1')),
inference(splitRight,[status(thm)],[c_296855]) ).
tff(c_293230,plain,
! [C_19909,A_19910,B_19911] :
( m1_subset_1(C_19909,k1_zfmisc_1(k2_zfmisc_1(A_19910,B_19911)))
| ~ m2_relset_1(C_19909,A_19910,B_19911) ),
inference(cnfTransformation,[status(thm)],[f_1085]) ).
tff(c_299258,plain,
! [A_20655,A_20656,B_20657,C_20658] :
( m1_subset_1(A_20655,k2_zfmisc_1(A_20656,B_20657))
| ~ r2_hidden(A_20655,C_20658)
| ~ m2_relset_1(C_20658,A_20656,B_20657) ),
inference(resolution,[status(thm)],[c_293230,c_882]) ).
tff(c_304116,plain,
! [A_20913,A_20914,B_20915,B_20916] :
( m1_subset_1(A_20913,k2_zfmisc_1(A_20914,B_20915))
| ~ m2_relset_1(B_20916,A_20914,B_20915)
| v1_xboole_0(B_20916)
| ~ m1_subset_1(A_20913,B_20916) ),
inference(resolution,[status(thm)],[c_876,c_299258]) ).
tff(c_304208,plain,
! [A_20922,A_20923,B_20924,C_20925] :
( m1_subset_1(A_20922,k2_zfmisc_1(A_20923,B_20924))
| v1_xboole_0(C_20925)
| ~ m1_subset_1(A_20922,C_20925)
| ~ m1_relset_1(C_20925,A_20923,B_20924) ),
inference(resolution,[status(thm)],[c_854,c_304116]) ).
tff(c_304307,plain,
! [A_20923,B_20924] :
( m1_subset_1('#skF_2',k2_zfmisc_1(A_20923,B_20924))
| v1_xboole_0(u1_struct_0(k9_waybel34('#skF_1')))
| ~ m1_relset_1(u1_struct_0(k9_waybel34('#skF_1')),A_20923,B_20924) ),
inference(resolution,[status(thm)],[c_197942,c_304208]) ).
tff(c_304399,plain,
v1_xboole_0(u1_struct_0(k9_waybel34('#skF_1'))),
inference(splitLeft,[status(thm)],[c_304307]) ).
tff(c_304404,plain,
( ~ l1_struct_0(k9_waybel34('#skF_1'))
| v3_struct_0(k9_waybel34('#skF_1')) ),
inference(resolution,[status(thm)],[c_304399,c_584]) ).
tff(c_304422,plain,
v3_struct_0(k9_waybel34('#skF_1')),
inference(demodulation,[status(thm),theory(equality)],[c_296777,c_304404]) ).
tff(c_304424,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_296873,c_304422]) ).
tff(c_304426,plain,
~ v1_xboole_0(u1_struct_0(k9_waybel34('#skF_1'))),
inference(splitRight,[status(thm)],[c_304307]) ).
tff(c_296915,plain,
( v1_altcat_2(k9_waybel34('#skF_1'))
| ~ v12_altcat_1(k9_waybel34('#skF_1'))
| ~ l2_altcat_1(k9_waybel34('#skF_1')) ),
inference(resolution,[status(thm)],[c_256,c_296873]) ).
tff(c_296935,plain,
~ l2_altcat_1(k9_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_296915]) ).
tff(c_296938,plain,
( ~ l2_altcat_1(k5_waybel34('#skF_1'))
| v2_setfam_1('#skF_1') ),
inference(resolution,[status(thm)],[c_259689,c_296935]) ).
tff(c_296941,plain,
~ l2_altcat_1(k5_waybel34('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_14,c_296938]) ).
tff(c_296944,plain,
v1_xboole_0('#skF_1'),
inference(resolution,[status(thm)],[c_488,c_296941]) ).
tff(c_296948,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198057,c_296944]) ).
tff(c_296950,plain,
l2_altcat_1(k9_waybel34('#skF_1')),
inference(splitRight,[status(thm)],[c_296915]) ).
tff(c_292280,plain,
! [A_19818,C_19819,B_19820] :
( m1_subset_1(A_19818,C_19819)
| ~ m1_subset_1(B_19820,k1_zfmisc_1(C_19819))
| ~ r2_hidden(A_19818,B_19820) ),
inference(cnfTransformation,[status(thm)],[f_1634]) ).
tff(c_294372,plain,
! [A_20057,B_20058,A_20059] :
( m1_subset_1(A_20057,B_20058)
| ~ r2_hidden(A_20057,A_20059)
| ~ r1_tarski(A_20059,B_20058) ),
inference(resolution,[status(thm)],[c_880,c_292280]) ).
tff(c_299017,plain,
! [A_20591,B_20592,B_20593] :
( m1_subset_1(A_20591,B_20592)
| ~ r1_tarski(B_20593,B_20592)
| v1_xboole_0(B_20593)
| ~ m1_subset_1(A_20591,B_20593) ),
inference(resolution,[status(thm)],[c_876,c_294372]) ).
tff(c_324082,plain,
! [A_22157,A_22158,B_22159] :
( m1_subset_1(A_22157,u1_struct_0(A_22158))
| v1_xboole_0(u1_struct_0(B_22159))
| ~ m1_subset_1(A_22157,u1_struct_0(B_22159))
| ~ m1_altcat_2(B_22159,A_22158)
| ~ l2_altcat_1(B_22159)
| ~ l2_altcat_1(A_22158) ),
inference(resolution,[status(thm)],[c_388,c_299017]) ).
tff(c_324191,plain,
! [A_22158] :
( m1_subset_1('#skF_2',u1_struct_0(A_22158))
| v1_xboole_0(u1_struct_0(k9_waybel34('#skF_1')))
| ~ m1_altcat_2(k9_waybel34('#skF_1'),A_22158)
| ~ l2_altcat_1(k9_waybel34('#skF_1'))
| ~ l2_altcat_1(A_22158) ),
inference(resolution,[status(thm)],[c_197942,c_324082]) ).
tff(c_324238,plain,
! [A_22158] :
( m1_subset_1('#skF_2',u1_struct_0(A_22158))
| v1_xboole_0(u1_struct_0(k9_waybel34('#skF_1')))
| ~ m1_altcat_2(k9_waybel34('#skF_1'),A_22158)
| ~ l2_altcat_1(A_22158) ),
inference(demodulation,[status(thm),theory(equality)],[c_296950,c_324191]) ).
tff(c_324240,plain,
! [A_22160] :
( m1_subset_1('#skF_2',u1_struct_0(A_22160))
| ~ m1_altcat_2(k9_waybel34('#skF_1'),A_22160)
| ~ l2_altcat_1(A_22160) ),
inference(negUnitSimplification,[status(thm)],[c_304426,c_324238]) ).
tff(c_324258,plain,
! [A_464] :
( v1_orders_2('#skF_2')
| ~ l1_orders_2('#skF_2')
| ~ v2_lattice3('#skF_2')
| ~ v1_lattice3('#skF_2')
| ~ v4_orders_2('#skF_2')
| ~ v3_orders_2('#skF_2')
| ~ v2_orders_2('#skF_2')
| v2_setfam_1(A_464)
| ~ m1_altcat_2(k9_waybel34('#skF_1'),k5_waybel34(A_464))
| ~ l2_altcat_1(k5_waybel34(A_464)) ),
inference(resolution,[status(thm)],[c_324240,c_872]) ).
tff(c_324347,plain,
! [A_464] :
( v1_orders_2('#skF_2')
| v2_setfam_1(A_464)
| ~ m1_altcat_2(k9_waybel34('#skF_1'),k5_waybel34(A_464))
| ~ l2_altcat_1(k5_waybel34(A_464)) ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_10,c_8,c_6,c_4,c_2,c_324258]) ).
tff(c_324390,plain,
! [A_22161] :
( v2_setfam_1(A_22161)
| ~ m1_altcat_2(k9_waybel34('#skF_1'),k5_waybel34(A_22161))
| ~ l2_altcat_1(k5_waybel34(A_22161)) ),
inference(negUnitSimplification,[status(thm)],[c_197943,c_324347]) ).
tff(c_324394,plain,
( ~ l2_altcat_1(k5_waybel34('#skF_1'))
| v2_setfam_1('#skF_1') ),
inference(resolution,[status(thm)],[c_510,c_324390]) ).
tff(c_324397,plain,
~ l2_altcat_1(k5_waybel34('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_14,c_14,c_324394]) ).
tff(c_324400,plain,
v1_xboole_0('#skF_1'),
inference(resolution,[status(thm)],[c_488,c_324397]) ).
tff(c_324404,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198057,c_324400]) ).
tff(c_324406,plain,
~ v3_lattice3('#skF_2'),
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_353981,plain,
! [A_24677] :
( m1_altcat_2(k9_waybel34(A_24677),k5_waybel34(A_24677))
| v2_setfam_1(A_24677) ),
inference(cnfTransformation,[status(thm)],[f_1056]) ).
tff(c_528,plain,
! [B_375,A_373] :
( l2_altcat_1(B_375)
| ~ m1_altcat_2(B_375,A_373)
| ~ l2_altcat_1(A_373) ),
inference(cnfTransformation,[status(thm)],[f_1075]) ).
tff(c_355406,plain,
! [A_24857] :
( l2_altcat_1(k9_waybel34(A_24857))
| ~ l2_altcat_1(k5_waybel34(A_24857))
| v2_setfam_1(A_24857) ),
inference(resolution,[status(thm)],[c_353981,c_528]) ).
tff(c_356779,plain,
! [A_25006] :
( l1_altcat_1(k9_waybel34(A_25006))
| ~ l2_altcat_1(k5_waybel34(A_25006))
| v2_setfam_1(A_25006) ),
inference(resolution,[status(thm)],[c_355406,c_526]) ).
tff(c_356783,plain,
! [A_364] :
( l1_altcat_1(k9_waybel34(A_364))
| v2_setfam_1(A_364)
| v1_xboole_0(A_364) ),
inference(resolution,[status(thm)],[c_488,c_356779]) ).
tff(c_324960,plain,
! [A_22277] :
( m1_altcat_2(k9_waybel34(A_22277),k5_waybel34(A_22277))
| v2_setfam_1(A_22277) ),
inference(cnfTransformation,[status(thm)],[f_1056]) ).
tff(c_324964,plain,
! [A_22277] :
( l2_altcat_1(k9_waybel34(A_22277))
| ~ l2_altcat_1(k5_waybel34(A_22277))
| v2_setfam_1(A_22277) ),
inference(resolution,[status(thm)],[c_324960,c_528]) ).
tff(c_324405,plain,
m1_subset_1('#skF_2',u1_struct_0(k9_waybel34('#skF_1'))),
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_324677,plain,
! [B_22244,A_22245] :
( v4_ordinal2(B_22244)
| ~ m1_subset_1(B_22244,A_22245)
| ~ v5_membered(A_22245) ),
inference(cnfTransformation,[status(thm)],[f_268]) ).
tff(c_324697,plain,
( v4_ordinal2('#skF_2')
| ~ v5_membered(u1_struct_0(k9_waybel34('#skF_1'))) ),
inference(resolution,[status(thm)],[c_324405,c_324677]) ).
tff(c_324704,plain,
~ v5_membered(u1_struct_0(k9_waybel34('#skF_1'))),
inference(splitLeft,[status(thm)],[c_324697]) ).
tff(c_324708,plain,
~ v1_xboole_0(u1_struct_0(k9_waybel34('#skF_1'))),
inference(resolution,[status(thm)],[c_146,c_324704]) ).
tff(c_327419,plain,
! [A_22547,C_22548,B_22549] :
( m1_subset_1(A_22547,C_22548)
| ~ m1_subset_1(B_22549,k1_zfmisc_1(C_22548))
| ~ r2_hidden(A_22547,B_22549) ),
inference(cnfTransformation,[status(thm)],[f_1634]) ).
tff(c_328183,plain,
! [A_22672,B_22673,A_22674] :
( m1_subset_1(A_22672,B_22673)
| ~ r2_hidden(A_22672,A_22674)
| ~ r1_tarski(A_22674,B_22673) ),
inference(resolution,[status(thm)],[c_880,c_327419]) ).
tff(c_332466,plain,
! [A_23158,B_23159,B_23160] :
( m1_subset_1(A_23158,B_23159)
| ~ r1_tarski(B_23160,B_23159)
| v1_xboole_0(B_23160)
| ~ m1_subset_1(A_23158,B_23160) ),
inference(resolution,[status(thm)],[c_876,c_328183]) ).
tff(c_352988,plain,
! [A_24621,A_24622,B_24623] :
( m1_subset_1(A_24621,u1_struct_0(A_24622))
| v1_xboole_0(u1_struct_0(B_24623))
| ~ m1_subset_1(A_24621,u1_struct_0(B_24623))
| ~ m1_altcat_2(B_24623,A_24622)
| ~ l2_altcat_1(B_24623)
| ~ l2_altcat_1(A_24622) ),
inference(resolution,[status(thm)],[c_388,c_332466]) ).
tff(c_353073,plain,
! [A_24622] :
( m1_subset_1('#skF_2',u1_struct_0(A_24622))
| v1_xboole_0(u1_struct_0(k9_waybel34('#skF_1')))
| ~ m1_altcat_2(k9_waybel34('#skF_1'),A_24622)
| ~ l2_altcat_1(k9_waybel34('#skF_1'))
| ~ l2_altcat_1(A_24622) ),
inference(resolution,[status(thm)],[c_324405,c_352988]) ).
tff(c_353108,plain,
! [A_24622] :
( m1_subset_1('#skF_2',u1_struct_0(A_24622))
| ~ m1_altcat_2(k9_waybel34('#skF_1'),A_24622)
| ~ l2_altcat_1(k9_waybel34('#skF_1'))
| ~ l2_altcat_1(A_24622) ),
inference(negUnitSimplification,[status(thm)],[c_324708,c_353073]) ).
tff(c_353109,plain,
~ l2_altcat_1(k9_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_353108]) ).
tff(c_353112,plain,
( ~ l2_altcat_1(k5_waybel34('#skF_1'))
| v2_setfam_1('#skF_1') ),
inference(resolution,[status(thm)],[c_324964,c_353109]) ).
tff(c_353115,plain,
~ l2_altcat_1(k5_waybel34('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_14,c_353112]) ).
tff(c_353330,plain,
v1_xboole_0('#skF_1'),
inference(resolution,[status(thm)],[c_488,c_353115]) ).
tff(c_353334,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_324432,c_353330]) ).
tff(c_353348,plain,
! [A_24628] :
( m1_subset_1('#skF_2',u1_struct_0(A_24628))
| ~ m1_altcat_2(k9_waybel34('#skF_1'),A_24628)
| ~ l2_altcat_1(A_24628) ),
inference(splitRight,[status(thm)],[c_353108]) ).
tff(c_870,plain,
! [B_466,A_464] :
( v3_lattice3(B_466)
| ~ m1_subset_1(B_466,u1_struct_0(k5_waybel34(A_464)))
| ~ l1_orders_2(B_466)
| ~ v2_lattice3(B_466)
| ~ v1_lattice3(B_466)
| ~ v4_orders_2(B_466)
| ~ v3_orders_2(B_466)
| ~ v2_orders_2(B_466)
| v2_setfam_1(A_464) ),
inference(cnfTransformation,[status(thm)],[f_1614]) ).
tff(c_353363,plain,
! [A_464] :
( v3_lattice3('#skF_2')
| ~ l1_orders_2('#skF_2')
| ~ v2_lattice3('#skF_2')
| ~ v1_lattice3('#skF_2')
| ~ v4_orders_2('#skF_2')
| ~ v3_orders_2('#skF_2')
| ~ v2_orders_2('#skF_2')
| v2_setfam_1(A_464)
| ~ m1_altcat_2(k9_waybel34('#skF_1'),k5_waybel34(A_464))
| ~ l2_altcat_1(k5_waybel34(A_464)) ),
inference(resolution,[status(thm)],[c_353348,c_870]) ).
tff(c_353454,plain,
! [A_464] :
( v3_lattice3('#skF_2')
| v2_setfam_1(A_464)
| ~ m1_altcat_2(k9_waybel34('#skF_1'),k5_waybel34(A_464))
| ~ l2_altcat_1(k5_waybel34(A_464)) ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_10,c_8,c_6,c_4,c_2,c_353363]) ).
tff(c_353483,plain,
! [A_24629] :
( v2_setfam_1(A_24629)
| ~ m1_altcat_2(k9_waybel34('#skF_1'),k5_waybel34(A_24629))
| ~ l2_altcat_1(k5_waybel34(A_24629)) ),
inference(negUnitSimplification,[status(thm)],[c_324406,c_353454]) ).
tff(c_353487,plain,
( ~ l2_altcat_1(k5_waybel34('#skF_1'))
| v2_setfam_1('#skF_1') ),
inference(resolution,[status(thm)],[c_510,c_353483]) ).
tff(c_353490,plain,
~ l2_altcat_1(k5_waybel34('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_14,c_14,c_353487]) ).
tff(c_353493,plain,
v1_xboole_0('#skF_1'),
inference(resolution,[status(thm)],[c_488,c_353490]) ).
tff(c_353497,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_324432,c_353493]) ).
tff(c_353499,plain,
v5_membered(u1_struct_0(k9_waybel34('#skF_1'))),
inference(splitRight,[status(thm)],[c_324697]) ).
tff(c_356521,plain,
! [A_24969] :
( m1_subset_1('#skF_35'(A_24969),k1_zfmisc_1(u1_struct_0(A_24969)))
| ~ l1_struct_0(A_24969)
| v3_struct_0(A_24969) ),
inference(cnfTransformation,[status(thm)],[f_1536]) ).
tff(c_238,plain,
! [B_58,A_56] :
( v5_membered(B_58)
| ~ m1_subset_1(B_58,k1_zfmisc_1(A_56))
| ~ v5_membered(A_56) ),
inference(cnfTransformation,[status(thm)],[f_502]) ).
tff(c_358132,plain,
! [A_25148] :
( v5_membered('#skF_35'(A_25148))
| ~ v5_membered(u1_struct_0(A_25148))
| ~ l1_struct_0(A_25148)
| v3_struct_0(A_25148) ),
inference(resolution,[status(thm)],[c_356521,c_238]) ).
tff(c_358139,plain,
( v5_membered('#skF_35'(k9_waybel34('#skF_1')))
| ~ l1_struct_0(k9_waybel34('#skF_1'))
| v3_struct_0(k9_waybel34('#skF_1')) ),
inference(resolution,[status(thm)],[c_353499,c_358132]) ).
tff(c_358281,plain,
~ l1_struct_0(k9_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_358139]) ).
tff(c_358288,plain,
~ l1_altcat_1(k9_waybel34('#skF_1')),
inference(resolution,[status(thm)],[c_520,c_358281]) ).
tff(c_358292,plain,
( v2_setfam_1('#skF_1')
| v1_xboole_0('#skF_1') ),
inference(resolution,[status(thm)],[c_356783,c_358288]) ).
tff(c_358296,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_324432,c_14,c_358292]) ).
tff(c_358298,plain,
l1_struct_0(k9_waybel34('#skF_1')),
inference(splitRight,[status(thm)],[c_358139]) ).
tff(c_538,plain,
! [C_380,A_378,B_379] :
( m1_subset_1(C_380,k1_zfmisc_1(k2_zfmisc_1(A_378,B_379)))
| ~ m2_relset_1(C_380,A_378,B_379) ),
inference(cnfTransformation,[status(thm)],[f_1085]) ).
tff(c_356157,plain,
! [A_24932,C_24933,B_24934] :
( m1_subset_1(A_24932,C_24933)
| ~ m1_subset_1(B_24934,k1_zfmisc_1(C_24933))
| ~ r2_hidden(A_24932,B_24934) ),
inference(cnfTransformation,[status(thm)],[f_1634]) ).
tff(c_361716,plain,
! [A_25590,A_25591,B_25592,C_25593] :
( m1_subset_1(A_25590,k2_zfmisc_1(A_25591,B_25592))
| ~ r2_hidden(A_25590,C_25593)
| ~ m2_relset_1(C_25593,A_25591,B_25592) ),
inference(resolution,[status(thm)],[c_538,c_356157]) ).
tff(c_366670,plain,
! [A_25864,A_25865,B_25866,B_25867] :
( m1_subset_1(A_25864,k2_zfmisc_1(A_25865,B_25866))
| ~ m2_relset_1(B_25867,A_25865,B_25866)
| v1_xboole_0(B_25867)
| ~ m1_subset_1(A_25864,B_25867) ),
inference(resolution,[status(thm)],[c_876,c_361716]) ).
tff(c_366761,plain,
! [A_25877,A_25878,B_25879,C_25880] :
( m1_subset_1(A_25877,k2_zfmisc_1(A_25878,B_25879))
| v1_xboole_0(C_25880)
| ~ m1_subset_1(A_25877,C_25880)
| ~ m1_relset_1(C_25880,A_25878,B_25879) ),
inference(resolution,[status(thm)],[c_854,c_366670]) ).
tff(c_366860,plain,
! [A_25878,B_25879] :
( m1_subset_1('#skF_2',k2_zfmisc_1(A_25878,B_25879))
| v1_xboole_0(u1_struct_0(k9_waybel34('#skF_1')))
| ~ m1_relset_1(u1_struct_0(k9_waybel34('#skF_1')),A_25878,B_25879) ),
inference(resolution,[status(thm)],[c_324405,c_366761]) ).
tff(c_366953,plain,
v1_xboole_0(u1_struct_0(k9_waybel34('#skF_1'))),
inference(splitLeft,[status(thm)],[c_366860]) ).
tff(c_366958,plain,
( ~ l1_struct_0(k9_waybel34('#skF_1'))
| v3_struct_0(k9_waybel34('#skF_1')) ),
inference(resolution,[status(thm)],[c_366953,c_584]) ).
tff(c_366976,plain,
v3_struct_0(k9_waybel34('#skF_1')),
inference(demodulation,[status(thm),theory(equality)],[c_358298,c_366958]) ).
tff(c_366991,plain,
v2_setfam_1('#skF_1'),
inference(resolution,[status(thm)],[c_366976,c_518]) ).
tff(c_366997,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14,c_366991]) ).
tff(c_366999,plain,
~ v1_xboole_0(u1_struct_0(k9_waybel34('#skF_1'))),
inference(splitRight,[status(thm)],[c_366860]) ).
tff(c_353985,plain,
! [A_24677] :
( l2_altcat_1(k9_waybel34(A_24677))
| ~ l2_altcat_1(k5_waybel34(A_24677))
| v2_setfam_1(A_24677) ),
inference(resolution,[status(thm)],[c_353981,c_528]) ).
tff(c_353503,plain,
v4_membered(u1_struct_0(k9_waybel34('#skF_1'))),
inference(resolution,[status(thm)],[c_353499,c_182]) ).
tff(c_262,plain,
! [A_65] :
( v3_membered(A_65)
| ~ v4_membered(A_65) ),
inference(cnfTransformation,[status(thm)],[f_544]) ).
tff(c_353528,plain,
v3_membered(u1_struct_0(k9_waybel34('#skF_1'))),
inference(resolution,[status(thm)],[c_353503,c_262]) ).
tff(c_286,plain,
! [A_68] :
( v2_membered(A_68)
| ~ v3_membered(A_68) ),
inference(cnfTransformation,[status(thm)],[f_588]) ).
tff(c_353532,plain,
v2_membered(u1_struct_0(k9_waybel34('#skF_1'))),
inference(resolution,[status(thm)],[c_353528,c_286]) ).
tff(c_356786,plain,
! [B_25009,A_25010] :
( r1_tarski(u1_struct_0(B_25009),u1_struct_0(A_25010))
| ~ m1_altcat_2(B_25009,A_25010)
| ~ l2_altcat_1(B_25009)
| ~ l2_altcat_1(A_25010) ),
inference(cnfTransformation,[status(thm)],[f_842]) ).
tff(c_354173,plain,
! [B_24705,A_24706] :
( v2_membered(B_24705)
| ~ m1_subset_1(B_24705,k1_zfmisc_1(A_24706))
| ~ v2_membered(A_24706) ),
inference(cnfTransformation,[status(thm)],[f_320]) ).
tff(c_354192,plain,
! [A_471,B_472] :
( v2_membered(A_471)
| ~ v2_membered(B_472)
| ~ r1_tarski(A_471,B_472) ),
inference(resolution,[status(thm)],[c_880,c_354173]) ).
tff(c_363186,plain,
! [B_25701,A_25702] :
( v2_membered(u1_struct_0(B_25701))
| ~ v2_membered(u1_struct_0(A_25702))
| ~ m1_altcat_2(B_25701,A_25702)
| ~ l2_altcat_1(B_25701)
| ~ l2_altcat_1(A_25702) ),
inference(resolution,[status(thm)],[c_356786,c_354192]) ).
tff(c_363192,plain,
! [B_25701] :
( v2_membered(u1_struct_0(B_25701))
| ~ m1_altcat_2(B_25701,k9_waybel34('#skF_1'))
| ~ l2_altcat_1(B_25701)
| ~ l2_altcat_1(k9_waybel34('#skF_1')) ),
inference(resolution,[status(thm)],[c_353532,c_363186]) ).
tff(c_363194,plain,
~ l2_altcat_1(k9_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_363192]) ).
tff(c_363197,plain,
( ~ l2_altcat_1(k5_waybel34('#skF_1'))
| v2_setfam_1('#skF_1') ),
inference(resolution,[status(thm)],[c_353985,c_363194]) ).
tff(c_363200,plain,
~ l2_altcat_1(k5_waybel34('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_14,c_363197]) ).
tff(c_363203,plain,
v1_xboole_0('#skF_1'),
inference(resolution,[status(thm)],[c_488,c_363200]) ).
tff(c_363207,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_324432,c_363203]) ).
tff(c_363209,plain,
l2_altcat_1(k9_waybel34('#skF_1')),
inference(splitRight,[status(thm)],[c_363192]) ).
tff(c_357124,plain,
! [A_25058,B_25059,A_25060] :
( m1_subset_1(A_25058,B_25059)
| ~ r2_hidden(A_25058,A_25060)
| ~ r1_tarski(A_25060,B_25059) ),
inference(resolution,[status(thm)],[c_880,c_356157]) ).
tff(c_359954,plain,
! [A_25456,B_25457,B_25458] :
( m1_subset_1(A_25456,B_25457)
| ~ r1_tarski(B_25458,B_25457)
| v1_xboole_0(B_25458)
| ~ m1_subset_1(A_25456,B_25458) ),
inference(resolution,[status(thm)],[c_876,c_357124]) ).
tff(c_383767,plain,
! [A_27044,A_27045,B_27046] :
( m1_subset_1(A_27044,u1_struct_0(A_27045))
| v1_xboole_0(u1_struct_0(B_27046))
| ~ m1_subset_1(A_27044,u1_struct_0(B_27046))
| ~ m1_altcat_2(B_27046,A_27045)
| ~ l2_altcat_1(B_27046)
| ~ l2_altcat_1(A_27045) ),
inference(resolution,[status(thm)],[c_388,c_359954]) ).
tff(c_383854,plain,
! [A_27045] :
( m1_subset_1('#skF_2',u1_struct_0(A_27045))
| v1_xboole_0(u1_struct_0(k9_waybel34('#skF_1')))
| ~ m1_altcat_2(k9_waybel34('#skF_1'),A_27045)
| ~ l2_altcat_1(k9_waybel34('#skF_1'))
| ~ l2_altcat_1(A_27045) ),
inference(resolution,[status(thm)],[c_324405,c_383767]) ).
tff(c_383890,plain,
! [A_27045] :
( m1_subset_1('#skF_2',u1_struct_0(A_27045))
| v1_xboole_0(u1_struct_0(k9_waybel34('#skF_1')))
| ~ m1_altcat_2(k9_waybel34('#skF_1'),A_27045)
| ~ l2_altcat_1(A_27045) ),
inference(demodulation,[status(thm),theory(equality)],[c_363209,c_383854]) ).
tff(c_383892,plain,
! [A_27047] :
( m1_subset_1('#skF_2',u1_struct_0(A_27047))
| ~ m1_altcat_2(k9_waybel34('#skF_1'),A_27047)
| ~ l2_altcat_1(A_27047) ),
inference(negUnitSimplification,[status(thm)],[c_366999,c_383890]) ).
tff(c_383907,plain,
! [A_464] :
( v3_lattice3('#skF_2')
| ~ l1_orders_2('#skF_2')
| ~ v2_lattice3('#skF_2')
| ~ v1_lattice3('#skF_2')
| ~ v4_orders_2('#skF_2')
| ~ v3_orders_2('#skF_2')
| ~ v2_orders_2('#skF_2')
| v2_setfam_1(A_464)
| ~ m1_altcat_2(k9_waybel34('#skF_1'),k5_waybel34(A_464))
| ~ l2_altcat_1(k5_waybel34(A_464)) ),
inference(resolution,[status(thm)],[c_383892,c_870]) ).
tff(c_383998,plain,
! [A_464] :
( v3_lattice3('#skF_2')
| v2_setfam_1(A_464)
| ~ m1_altcat_2(k9_waybel34('#skF_1'),k5_waybel34(A_464))
| ~ l2_altcat_1(k5_waybel34(A_464)) ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_10,c_8,c_6,c_4,c_2,c_383907]) ).
tff(c_384042,plain,
! [A_27048] :
( v2_setfam_1(A_27048)
| ~ m1_altcat_2(k9_waybel34('#skF_1'),k5_waybel34(A_27048))
| ~ l2_altcat_1(k5_waybel34(A_27048)) ),
inference(negUnitSimplification,[status(thm)],[c_324406,c_383998]) ).
tff(c_384046,plain,
( ~ l2_altcat_1(k5_waybel34('#skF_1'))
| v2_setfam_1('#skF_1') ),
inference(resolution,[status(thm)],[c_510,c_384042]) ).
tff(c_384049,plain,
~ l2_altcat_1(k5_waybel34('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_14,c_14,c_384046]) ).
tff(c_384052,plain,
v1_xboole_0('#skF_1'),
inference(resolution,[status(thm)],[c_488,c_384049]) ).
tff(c_384056,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_324432,c_384052]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT374+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.34 % Computer : n027.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu Aug 3 12:48:23 EDT 2023
% 0.14/0.34 % CPUTime :
% 263.04/233.70 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 263.31/233.76
% 263.31/233.76 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 263.58/233.84
% 263.58/233.84 Inference rules
% 263.58/233.84 ----------------------
% 263.58/233.84 #Ref : 188
% 263.58/233.84 #Sup : 85155
% 263.58/233.84 #Fact : 28
% 263.58/233.84 #Define : 0
% 263.58/233.84 #Split : 1055
% 263.58/233.84 #Chain : 0
% 263.58/233.85 #Close : 0
% 263.58/233.85
% 263.58/233.85 Ordering : KBO
% 263.58/233.85
% 263.58/233.85 Simplification rules
% 263.58/233.85 ----------------------
% 263.58/233.85 #Subsume : 28558
% 263.58/233.85 #Demod : 29880
% 263.58/233.85 #Tautology : 7209
% 263.58/233.85 #SimpNegUnit : 11132
% 263.58/233.85 #BackRed : 9265
% 263.58/233.85
% 263.58/233.85 #Partial instantiations: 0
% 263.58/233.85 #Strategies tried : 1
% 263.58/233.85
% 263.58/233.85 Timing (in seconds)
% 263.58/233.85 ----------------------
% 263.58/233.85 Preprocessing : 1.06
% 263.58/233.85 Parsing : 0.52
% 263.58/233.85 CNF conversion : 0.13
% 263.58/233.85 Main loop : 231.51
% 263.58/233.85 Inferencing : 71.42
% 263.58/233.85 Reduction : 88.70
% 263.58/233.85 Demodulation : 68.09
% 263.58/233.85 BG Simplification : 0.73
% 263.58/233.85 Subsumption : 58.45
% 263.58/233.85 Abstraction : 1.61
% 263.58/233.85 MUC search : 0.00
% 263.58/233.85 Cooper : 0.00
% 263.58/233.85 Total : 232.74
% 263.58/233.85 Index Insertion : 0.00
% 263.58/233.85 Index Deletion : 0.00
% 263.58/233.85 Index Matching : 0.00
% 263.58/233.85 BG Taut test : 0.00
%------------------------------------------------------------------------------