%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : LAT343+1 : TPTP v9.0.0. 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 : n009.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 : Wed Apr 9 07:11:59 PM UTC 2025
% Result : Theorem 24.59s 11.38s
% Output : CNFRefutation 24.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 34
% Syntax : Number of formulae : 825 ( 305 unt; 0 typ; 0 def)
% Number of atoms : 2131 ( 206 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 2357 (1051 ~;1181 |; 83 &)
% ( 2 <=>; 40 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 39 ( 37 usr; 1 prp; 0-3 aty)
% Number of functors : 48 ( 48 usr; 17 con; 0-4 aty)
% Number of variables : 608 ( 607 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ v1_partfun1 > v1_funct_2 > m2_relset_1 > m1_relset_1 > v9_conlat_1 > v8_conlat_1 > v7_conlat_1 > v2_binop_1 > v1_binop_1 > r2_hidden > r1_tarski > m1_subset_1 > m1_conlat_1 > l3_conlat_1 > v9_lattices > v8_lattices > v7_lattices > v6_lattices > v5_lattices > v4_lattices > v4_lattice3 > v3_struct_0 > v3_lattices > v3_conlat_1 > v1_xboole_0 > v1_relat_1 > v1_funct_1 > v15_lattices > v14_lattices > v13_lattices > v10_lattices > l3_lattices > l2_lattices > l2_conlat_1 > l1_struct_0 > l1_lattices > l1_conlat_1 > k8_funct_2 > g3_lattices > k2_zfmisc_1 > k1_funct_1 > #nlpp > u2_lattices > u2_conlat_1 > u1_struct_0 > u1_lattices > u1_conlat_1 > k9_conlat_1 > k8_conlat_1 > k7_conlat_1 > k5_conlat_2 > k4_conlat_2 > k1_zfmisc_1 > k11_conlat_1 > k10_conlat_1 > k1_xboole_0 > #skF_20 > #skF_11 > #skF_19 > #skF_25 > #skF_22 > #skF_7 > #skF_13 > #skF_16 > #skF_29 > #skF_18 > #skF_5 > #skF_28 > #skF_10 > #skF_6 > #skF_2 > #skF_3 > #skF_1 > #skF_9 > #skF_26 > #skF_8 > #skF_30 > #skF_17 > #skF_14 > #skF_24 > #skF_27 > #skF_23 > #skF_12 > #skF_21 > #skF_15 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(l3_lattices,type,
l3_lattices: $i > $o ).
tff(m2_relset_1,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff(l2_lattices,type,
l2_lattices: $i > $o ).
tff(l1_conlat_1,type,
l1_conlat_1: $i > $o ).
tff('#skF_20',type,
'#skF_20': $i ).
tff(v1_funct_1,type,
v1_funct_1: $i > $o ).
tff(k9_conlat_1,type,
k9_conlat_1: $i > $i ).
tff(r2_hidden,type,
r2_hidden: ( $i * $i ) > $o ).
tff('#skF_11',type,
'#skF_11': $i ).
tff(v1_partfun1,type,
v1_partfun1: ( $i * $i * $i ) > $o ).
tff('#skF_19',type,
'#skF_19': $i > $i ).
tff('#skF_25',type,
'#skF_25': $i ).
tff(k1_xboole_0,type,
k1_xboole_0: $i ).
tff('#skF_22',type,
'#skF_22': $i > $i ).
tff(v9_conlat_1,type,
v9_conlat_1: ( $i * $i ) > $o ).
tff(k4_conlat_2,type,
k4_conlat_2: $i > $i ).
tff(l1_lattices,type,
l1_lattices: $i > $o ).
tff(m1_conlat_1,type,
m1_conlat_1: ( $i * $i ) > $o ).
tff(k7_conlat_1,type,
k7_conlat_1: $i > $i ).
tff('#skF_7',type,
'#skF_7': $i ).
tff('#skF_13',type,
'#skF_13': ( $i * $i ) > $i ).
tff(r1_tarski,type,
r1_tarski: ( $i * $i ) > $o ).
tff(m1_relset_1,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff('#skF_16',type,
'#skF_16': $i ).
tff('#skF_29',type,
'#skF_29': $i > $i ).
tff(u2_conlat_1,type,
u2_conlat_1: $i > $i ).
tff('#skF_18',type,
'#skF_18': ( $i * $i ) > $i ).
tff('#skF_5',type,
'#skF_5': $i ).
tff('#skF_28',type,
'#skF_28': $i > $i ).
tff(v1_funct_2,type,
v1_funct_2: ( $i * $i * $i ) > $o ).
tff(v4_lattices,type,
v4_lattices: $i > $o ).
tff('#skF_10',type,
'#skF_10': $i > $i ).
tff(k10_conlat_1,type,
k10_conlat_1: $i > $i ).
tff('#skF_6',type,
'#skF_6': $i ).
tff(v6_lattices,type,
v6_lattices: $i > $o ).
tff('#skF_2',type,
'#skF_2': $i ).
tff(u2_lattices,type,
u2_lattices: $i > $i ).
tff(v9_lattices,type,
v9_lattices: $i > $o ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(k8_funct_2,type,
k8_funct_2: ( $i * $i * $i * $i ) > $i ).
tff(u1_lattices,type,
u1_lattices: $i > $i ).
tff(v4_lattice3,type,
v4_lattice3: $i > $o ).
tff(g3_lattices,type,
g3_lattices: ( $i * $i * $i ) > $i ).
tff(v5_lattices,type,
v5_lattices: $i > $o ).
tff(v10_lattices,type,
v10_lattices: $i > $o ).
tff('#skF_9',type,
'#skF_9': $i ).
tff(l3_conlat_1,type,
l3_conlat_1: ( $i * $i ) > $o ).
tff(l2_conlat_1,type,
l2_conlat_1: $i > $o ).
tff(k1_zfmisc_1,type,
k1_zfmisc_1: $i > $i ).
tff(v7_conlat_1,type,
v7_conlat_1: ( $i * $i ) > $o ).
tff(l1_struct_0,type,
l1_struct_0: $i > $o ).
tff(k1_funct_1,type,
k1_funct_1: ( $i * $i ) > $i ).
tff('#skF_26',type,
'#skF_26': $i > $i ).
tff('#skF_8',type,
'#skF_8': $i ).
tff('#skF_30',type,
'#skF_30': $i ).
tff(v1_binop_1,type,
v1_binop_1: ( $i * $i ) > $o ).
tff(v2_binop_1,type,
v2_binop_1: ( $i * $i ) > $o ).
tff(v14_lattices,type,
v14_lattices: $i > $o ).
tff(v1_relat_1,type,
v1_relat_1: $i > $o ).
tff(k2_zfmisc_1,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff(v13_lattices,type,
v13_lattices: $i > $o ).
tff('#skF_17',type,
'#skF_17': $i > $i ).
tff(k5_conlat_2,type,
k5_conlat_2: $i > $i ).
tff('#skF_14',type,
'#skF_14': $i > $i ).
tff(v8_lattices,type,
v8_lattices: $i > $o ).
tff(u1_conlat_1,type,
u1_conlat_1: $i > $i ).
tff(k8_conlat_1,type,
k8_conlat_1: $i > $i ).
tff('#skF_24',type,
'#skF_24': $i ).
tff('#skF_27',type,
'#skF_27': $i ).
tff('#skF_23',type,
'#skF_23': $i ).
tff(v8_conlat_1,type,
v8_conlat_1: ( $i * $i ) > $o ).
tff(v3_lattices,type,
v3_lattices: $i > $o ).
tff('#skF_12',type,
'#skF_12': $i > $i ).
tff(u1_struct_0,type,
u1_struct_0: $i > $i ).
tff('#skF_21',type,
'#skF_21': ( $i * $i ) > $i ).
tff(v1_xboole_0,type,
v1_xboole_0: $i > $o ).
tff('#skF_15',type,
'#skF_15': ( $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i ) > $i ).
tff(v15_lattices,type,
v15_lattices: $i > $o ).
tff(v3_conlat_1,type,
v3_conlat_1: $i > $o ).
tff(v3_struct_0,type,
v3_struct_0: $i > $o ).
tff(m1_subset_1,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(v7_lattices,type,
v7_lattices: $i > $o ).
tff(k11_conlat_1,type,
k11_conlat_1: $i > $i ).
tff(f_55,negated_conjecture,
~ ! [A] :
( ( ~ v3_conlat_1(A)
& l2_conlat_1(A) )
=> ! [B] :
( m1_subset_1(B,u1_conlat_1(A))
=> ! [C] :
( m1_subset_1(C,u2_conlat_1(A))
=> ( ~ v7_conlat_1(k8_funct_2(u1_conlat_1(A),u1_struct_0(k11_conlat_1(A)),k4_conlat_2(A),B),A)
& v9_conlat_1(k8_funct_2(u1_conlat_1(A),u1_struct_0(k11_conlat_1(A)),k4_conlat_2(A),B),A)
& l3_conlat_1(k8_funct_2(u1_conlat_1(A),u1_struct_0(k11_conlat_1(A)),k4_conlat_2(A),B),A)
& ~ v7_conlat_1(k8_funct_2(u2_conlat_1(A),u1_struct_0(k11_conlat_1(A)),k5_conlat_2(A),C),A)
& v9_conlat_1(k8_funct_2(u2_conlat_1(A),u1_struct_0(k11_conlat_1(A)),k5_conlat_2(A),C),A)
& l3_conlat_1(k8_funct_2(u2_conlat_1(A),u1_struct_0(k11_conlat_1(A)),k5_conlat_2(A),C),A) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_conlat_2) ).
tff(f_799,axiom,
! [A] :
( ( ~ v3_conlat_1(A)
& l2_conlat_1(A) )
=> ( k8_conlat_1(A) = k7_conlat_1(A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k8_conlat_1) ).
tff(f_304,axiom,
! [A] :
( ( ~ v3_conlat_1(A)
& l2_conlat_1(A) )
=> m1_conlat_1(k8_conlat_1(A),A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_conlat_1) ).
tff(f_357,axiom,
! [A] :
( ( ~ v3_conlat_1(A)
& l2_conlat_1(A) )
=> ! [B] :
( m1_conlat_1(B,A)
=> ~ v1_xboole_0(B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_conlat_1) ).
tff(f_254,axiom,
! [A] :
( ( ~ v3_conlat_1(A)
& l2_conlat_1(A) )
=> ( v1_funct_1(k10_conlat_1(A))
& v1_funct_2(k10_conlat_1(A),k2_zfmisc_1(k8_conlat_1(A),k8_conlat_1(A)),k8_conlat_1(A))
& m2_relset_1(k10_conlat_1(A),k2_zfmisc_1(k8_conlat_1(A),k8_conlat_1(A)),k8_conlat_1(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k10_conlat_1) ).
tff(f_408,axiom,
! [A] :
? [B] : m1_subset_1(B,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
tff(f_828,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_845,axiom,
! [A,B,C] :
~ ( r2_hidden(A,B)
& m1_subset_1(B,k1_zfmisc_1(C))
& v1_xboole_0(C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset) ).
tff(f_862,axiom,
! [A,B] :
~ ( v1_xboole_0(A)
& ( A != B )
& v1_xboole_0(B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_boole) ).
tff(f_102,axiom,
! [A,B,C] :
( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))
=> v1_relat_1(C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relset_1) ).
tff(f_816,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_199,axiom,
! [A,B] :
( ( ~ v1_xboole_0(A)
& ~ v1_xboole_0(B) )
=> ! [C] :
( m1_relset_1(C,A,B)
=> ( ( v1_funct_1(C)
& v1_funct_2(C,A,B) )
=> ( v1_funct_1(C)
& ~ v1_xboole_0(C)
& v1_partfun1(C,A,B)
& v1_funct_2(C,A,B) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc6_funct_2) ).
tff(f_328,axiom,
! [A] :
( ( ~ v3_conlat_1(A)
& l2_conlat_1(A) )
=> ( v1_funct_1(k9_conlat_1(A))
& v1_funct_2(k9_conlat_1(A),k2_zfmisc_1(k8_conlat_1(A),k8_conlat_1(A)),k8_conlat_1(A))
& m2_relset_1(k9_conlat_1(A),k2_zfmisc_1(k8_conlat_1(A),k8_conlat_1(A)),k8_conlat_1(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k9_conlat_1) ).
tff(f_227,axiom,
! [A] :
( ( ~ v3_conlat_1(A)
& l2_conlat_1(A) )
=> ( k11_conlat_1(A) = g3_lattices(k8_conlat_1(A),k10_conlat_1(A),k9_conlat_1(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d23_conlat_1) ).
tff(f_533,axiom,
! [A,B,C] :
( ( ~ v1_xboole_0(A)
& v1_funct_1(B)
& v1_funct_2(B,k2_zfmisc_1(A,A),A)
& m1_relset_1(B,k2_zfmisc_1(A,A),A)
& v1_funct_1(C)
& v1_funct_2(C,k2_zfmisc_1(A,A),A)
& m1_relset_1(C,k2_zfmisc_1(A,A),A) )
=> ( ~ v3_struct_0(g3_lattices(A,B,C))
& v3_lattices(g3_lattices(A,B,C)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_lattices) ).
tff(f_266,axiom,
! [A] :
( ( ~ v3_conlat_1(A)
& l2_conlat_1(A) )
=> ( ~ v3_struct_0(k11_conlat_1(A))
& v3_lattices(k11_conlat_1(A))
& l3_lattices(k11_conlat_1(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k11_conlat_1) ).
tff(f_161,axiom,
! [A] :
( l3_lattices(A)
=> ( ( ~ v3_struct_0(A)
& v15_lattices(A) )
=> ( ~ v3_struct_0(A)
& v13_lattices(A)
& v14_lattices(A) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc4_lattices) ).
tff(f_346,axiom,
! [A] :
( l3_lattices(A)
=> ( l1_lattices(A)
& l2_lattices(A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
tff(f_340,axiom,
! [A] :
( l2_lattices(A)
=> l1_struct_0(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_lattices) ).
tff(f_243,axiom,
! [A,B,C] :
( ( v1_funct_1(B)
& v1_funct_2(B,k2_zfmisc_1(A,A),A)
& m1_relset_1(B,k2_zfmisc_1(A,A),A)
& v1_funct_1(C)
& v1_funct_2(C,k2_zfmisc_1(A,A),A)
& m1_relset_1(C,k2_zfmisc_1(A,A),A) )
=> ( v3_lattices(g3_lattices(A,B,C))
& l3_lattices(g3_lattices(A,B,C)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_g3_lattices) ).
tff(f_61,axiom,
! [A] :
( l3_lattices(A)
=> ( v3_lattices(A)
=> ( A = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abstractness_v3_lattices) ).
tff(f_647,axiom,
! [A,B,C] :
( ( v1_funct_1(B)
& v1_funct_2(B,k2_zfmisc_1(A,A),A)
& m1_relset_1(B,k2_zfmisc_1(A,A),A)
& v1_funct_1(C)
& v1_funct_2(C,k2_zfmisc_1(A,A),A)
& m1_relset_1(C,k2_zfmisc_1(A,A),A) )
=> ! [D,E,F] :
( ( g3_lattices(A,B,C) = g3_lattices(D,E,F) )
=> ( ( A = D )
& ( B = E )
& ( C = F ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',free_g3_lattices) ).
tff(f_289,axiom,
! [A] :
( ( ~ v3_conlat_1(A)
& l2_conlat_1(A) )
=> ( v1_funct_1(k5_conlat_2(A))
& v1_funct_2(k5_conlat_2(A),u2_conlat_1(A),u1_struct_0(k11_conlat_1(A)))
& m2_relset_1(k5_conlat_2(A),u2_conlat_1(A),u1_struct_0(k11_conlat_1(A))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_conlat_2) ).
tff(f_336,axiom,
! [A] :
( l2_conlat_1(A)
=> l1_conlat_1(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_conlat_1) ).
tff(f_361,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_838,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_419,axiom,
! [A] :
( ( ~ v3_conlat_1(A)
& l1_conlat_1(A) )
=> ~ v1_xboole_0(u2_conlat_1(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_conlat_1) ).
tff(f_812,axiom,
! [A,B,C,D] :
( ( ~ v1_xboole_0(A)
& v1_funct_1(C)
& v1_funct_2(C,A,B)
& m1_relset_1(C,A,B)
& m1_subset_1(D,A) )
=> ( k8_funct_2(A,B,C,D) = k1_funct_1(C,D) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k8_funct_2) ).
tff(f_317,axiom,
! [A,B,C,D] :
( ( ~ v1_xboole_0(A)
& v1_funct_1(C)
& v1_funct_2(C,A,B)
& m1_relset_1(C,A,B)
& m1_subset_1(D,A) )
=> m1_subset_1(k8_funct_2(A,B,C,D),B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_funct_2) ).
tff(f_609,axiom,
! [A] :
( ( ~ v3_conlat_1(A)
& l2_conlat_1(A) )
=> ( ~ v3_struct_0(k11_conlat_1(A))
& v3_lattices(k11_conlat_1(A))
& v4_lattices(k11_conlat_1(A))
& v5_lattices(k11_conlat_1(A))
& v6_lattices(k11_conlat_1(A))
& v7_lattices(k11_conlat_1(A))
& v8_lattices(k11_conlat_1(A))
& v9_lattices(k11_conlat_1(A))
& v10_lattices(k11_conlat_1(A))
& v4_lattice3(k11_conlat_1(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_conlat_1) ).
tff(f_278,axiom,
! [A] :
( ( ~ v3_conlat_1(A)
& l2_conlat_1(A) )
=> ( v1_funct_1(k4_conlat_2(A))
& v1_funct_2(k4_conlat_2(A),u1_conlat_1(A),u1_struct_0(k11_conlat_1(A)))
& m2_relset_1(k4_conlat_2(A),u1_conlat_1(A),u1_struct_0(k11_conlat_1(A))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_conlat_2) ).
tff(f_471,axiom,
! [A] :
( ( ~ v3_conlat_1(A)
& l1_conlat_1(A) )
=> ~ v1_xboole_0(u1_conlat_1(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_conlat_1) ).
tff(f_220,axiom,
! [A] :
( ( ~ v3_conlat_1(A)
& l2_conlat_1(A) )
=> ! [B] :
( ~ v1_xboole_0(B)
=> ( m1_conlat_1(B,A)
<=> ! [C] :
( r2_hidden(C,B)
=> ( ~ v7_conlat_1(C,A)
& v9_conlat_1(C,A)
& l3_conlat_1(C,A) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d18_conlat_1) ).
tff(f_459,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(c_10,plain,
~ v3_conlat_1('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_8,plain,
l2_conlat_1('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_30117,plain,
! [A_3282] :
( ( k8_conlat_1(A_3282) = k7_conlat_1(A_3282) )
| ~ l2_conlat_1(A_3282)
| v3_conlat_1(A_3282) ),
inference(cnfTransformation,[status(thm)],[f_799]) ).
tff(c_30120,plain,
( ( k8_conlat_1('#skF_1') = k7_conlat_1('#skF_1') )
| ~ l2_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_30117,c_10]) ).
tff(c_30123,plain,
k8_conlat_1('#skF_1') = k7_conlat_1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_30120]) ).
tff(c_116,plain,
! [A_48] :
( m1_conlat_1(k8_conlat_1(A_48),A_48)
| ~ l2_conlat_1(A_48)
| v3_conlat_1(A_48) ),
inference(cnfTransformation,[status(thm)],[f_304]) ).
tff(c_30127,plain,
( m1_conlat_1(k7_conlat_1('#skF_1'),'#skF_1')
| ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_30123,c_116]) ).
tff(c_30131,plain,
( m1_conlat_1(k7_conlat_1('#skF_1'),'#skF_1')
| v3_conlat_1('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_30127]) ).
tff(c_30132,plain,
m1_conlat_1(k7_conlat_1('#skF_1'),'#skF_1'),
inference(negUnitSimplification,[status(thm)],[c_10,c_30131]) ).
tff(c_30189,plain,
! [B_3307,A_3308] :
( ~ v1_xboole_0(B_3307)
| ~ m1_conlat_1(B_3307,A_3308)
| ~ l2_conlat_1(A_3308)
| v3_conlat_1(A_3308) ),
inference(cnfTransformation,[status(thm)],[f_357]) ).
tff(c_30192,plain,
( ~ v1_xboole_0(k7_conlat_1('#skF_1'))
| ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_30132,c_30189]) ).
tff(c_30201,plain,
( ~ v1_xboole_0(k7_conlat_1('#skF_1'))
| v3_conlat_1('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_30192]) ).
tff(c_30202,plain,
~ v1_xboole_0(k7_conlat_1('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_10,c_30201]) ).
tff(c_86,plain,
! [A_43] :
( v1_funct_1(k10_conlat_1(A_43))
| ~ l2_conlat_1(A_43)
| v3_conlat_1(A_43) ),
inference(cnfTransformation,[status(thm)],[f_254]) ).
tff(c_186,plain,
! [A_73] : m1_subset_1('#skF_14'(A_73),A_73),
inference(cnfTransformation,[status(thm)],[f_408]) ).
tff(c_434,plain,
! [A_134,B_135] :
( r2_hidden(A_134,B_135)
| v1_xboole_0(B_135)
| ~ m1_subset_1(A_134,B_135) ),
inference(cnfTransformation,[status(thm)],[f_828]) ).
tff(c_30155,plain,
! [C_3296,B_3297,A_3298] :
( ~ v1_xboole_0(C_3296)
| ~ m1_subset_1(B_3297,k1_zfmisc_1(C_3296))
| ~ r2_hidden(A_3298,B_3297) ),
inference(cnfTransformation,[status(thm)],[f_845]) ).
tff(c_30178,plain,
! [C_3301,A_3302] :
( ~ v1_xboole_0(C_3301)
| ~ r2_hidden(A_3302,'#skF_14'(k1_zfmisc_1(C_3301))) ),
inference(resolution,[status(thm)],[c_186,c_30155]) ).
tff(c_30506,plain,
! [C_3375,A_3376] :
( ~ v1_xboole_0(C_3375)
| v1_xboole_0('#skF_14'(k1_zfmisc_1(C_3375)))
| ~ m1_subset_1(A_3376,'#skF_14'(k1_zfmisc_1(C_3375))) ),
inference(resolution,[status(thm)],[c_434,c_30178]) ).
tff(c_30510,plain,
! [C_3375] :
( ~ v1_xboole_0(C_3375)
| v1_xboole_0('#skF_14'(k1_zfmisc_1(C_3375))) ),
inference(resolution,[status(thm)],[c_186,c_30506]) ).
tff(c_30512,plain,
! [C_3378] :
( ~ v1_xboole_0(C_3378)
| v1_xboole_0('#skF_14'(k1_zfmisc_1(C_3378))) ),
inference(resolution,[status(thm)],[c_186,c_30506]) ).
tff(c_448,plain,
! [B_148,A_147] :
( ~ v1_xboole_0(B_148)
| ( B_148 = A_147 )
| ~ v1_xboole_0(A_147) ),
inference(cnfTransformation,[status(thm)],[f_862]) ).
tff(c_30555,plain,
! [A_3380,C_3381] :
( ( A_3380 = '#skF_14'(k1_zfmisc_1(C_3381)) )
| ~ v1_xboole_0(A_3380)
| ~ v1_xboole_0(C_3381) ),
inference(resolution,[status(thm)],[c_30512,c_448]) ).
tff(c_30562,plain,
! [C_3383,C_3382] :
( ( '#skF_14'(k1_zfmisc_1(C_3383)) = '#skF_14'(k1_zfmisc_1(C_3382)) )
| ~ v1_xboole_0(C_3382)
| ~ v1_xboole_0(C_3383) ),
inference(resolution,[status(thm)],[c_30510,c_30555]) ).
tff(c_30014,plain,
! [C_3253,A_3254,B_3255] :
( v1_relat_1(C_3253)
| ~ m1_subset_1(C_3253,k1_zfmisc_1(k2_zfmisc_1(A_3254,B_3255))) ),
inference(cnfTransformation,[status(thm)],[f_102]) ).
tff(c_30034,plain,
! [A_3254,B_3255] : v1_relat_1('#skF_14'(k1_zfmisc_1(k2_zfmisc_1(A_3254,B_3255)))),
inference(resolution,[status(thm)],[c_186,c_30014]) ).
tff(c_30610,plain,
! [C_3382,A_3254,B_3255] :
( v1_relat_1('#skF_14'(k1_zfmisc_1(C_3382)))
| ~ v1_xboole_0(C_3382)
| ~ v1_xboole_0(k2_zfmisc_1(A_3254,B_3255)) ),
inference(superposition,[status(thm),theory(equality)],[c_30562,c_30034]) ).
tff(c_30714,plain,
! [A_3254,B_3255] : ~ v1_xboole_0(k2_zfmisc_1(A_3254,B_3255)),
inference(splitLeft,[status(thm)],[c_30610]) ).
tff(c_31023,plain,
! [A_3435] :
( m2_relset_1(k10_conlat_1(A_3435),k2_zfmisc_1(k8_conlat_1(A_3435),k8_conlat_1(A_3435)),k8_conlat_1(A_3435))
| ~ l2_conlat_1(A_3435)
| v3_conlat_1(A_3435) ),
inference(cnfTransformation,[status(thm)],[f_254]) ).
tff(c_31032,plain,
( m2_relset_1(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k8_conlat_1('#skF_1')),k8_conlat_1('#skF_1'))
| ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_30123,c_31023]) ).
tff(c_31042,plain,
( m2_relset_1(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| v3_conlat_1('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_30123,c_30123,c_31032]) ).
tff(c_31043,plain,
m2_relset_1(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_10,c_31042]) ).
tff(c_426,plain,
! [C_129,A_127,B_128] :
( m1_relset_1(C_129,A_127,B_128)
| ~ m2_relset_1(C_129,A_127,B_128) ),
inference(cnfTransformation,[status(thm)],[f_816]) ).
tff(c_31058,plain,
m1_relset_1(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1')),
inference(resolution,[status(thm)],[c_31043,c_426]) ).
tff(c_30803,plain,
! [A_3414] :
( v1_funct_2(k10_conlat_1(A_3414),k2_zfmisc_1(k8_conlat_1(A_3414),k8_conlat_1(A_3414)),k8_conlat_1(A_3414))
| ~ l2_conlat_1(A_3414)
| v3_conlat_1(A_3414) ),
inference(cnfTransformation,[status(thm)],[f_254]) ).
tff(c_30806,plain,
( v1_funct_2(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k8_conlat_1('#skF_1')),k8_conlat_1('#skF_1'))
| ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_30123,c_30803]) ).
tff(c_30814,plain,
( v1_funct_2(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| v3_conlat_1('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_30123,c_30123,c_30806]) ).
tff(c_30815,plain,
v1_funct_2(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_10,c_30814]) ).
tff(c_31541,plain,
! [C_3493,A_3494,B_3495] :
( ~ v1_xboole_0(C_3493)
| ~ v1_funct_2(C_3493,A_3494,B_3495)
| ~ v1_funct_1(C_3493)
| ~ m1_relset_1(C_3493,A_3494,B_3495)
| v1_xboole_0(B_3495)
| v1_xboole_0(A_3494) ),
inference(cnfTransformation,[status(thm)],[f_199]) ).
tff(c_31550,plain,
( ~ v1_xboole_0(k10_conlat_1('#skF_1'))
| ~ v1_funct_1(k10_conlat_1('#skF_1'))
| ~ m1_relset_1(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| v1_xboole_0(k7_conlat_1('#skF_1'))
| v1_xboole_0(k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1'))) ),
inference(resolution,[status(thm)],[c_30815,c_31541]) ).
tff(c_31578,plain,
( ~ v1_xboole_0(k10_conlat_1('#skF_1'))
| ~ v1_funct_1(k10_conlat_1('#skF_1'))
| v1_xboole_0(k7_conlat_1('#skF_1'))
| v1_xboole_0(k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1'))) ),
inference(demodulation,[status(thm),theory(equality)],[c_31058,c_31550]) ).
tff(c_31579,plain,
( ~ v1_xboole_0(k10_conlat_1('#skF_1'))
| ~ v1_funct_1(k10_conlat_1('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_30714,c_30202,c_31578]) ).
tff(c_31605,plain,
~ v1_funct_1(k10_conlat_1('#skF_1')),
inference(splitLeft,[status(thm)],[c_31579]) ).
tff(c_31608,plain,
( ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_86,c_31605]) ).
tff(c_31611,plain,
v3_conlat_1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_31608]) ).
tff(c_31613,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10,c_31611]) ).
tff(c_31615,plain,
v1_funct_1(k10_conlat_1('#skF_1')),
inference(splitRight,[status(thm)],[c_31579]) ).
tff(c_124,plain,
! [A_53] :
( v1_funct_1(k9_conlat_1(A_53))
| ~ l2_conlat_1(A_53)
| v3_conlat_1(A_53) ),
inference(cnfTransformation,[status(thm)],[f_328]) ).
tff(c_30932,plain,
! [A_3428] :
( m2_relset_1(k9_conlat_1(A_3428),k2_zfmisc_1(k8_conlat_1(A_3428),k8_conlat_1(A_3428)),k8_conlat_1(A_3428))
| ~ l2_conlat_1(A_3428)
| v3_conlat_1(A_3428) ),
inference(cnfTransformation,[status(thm)],[f_328]) ).
tff(c_30941,plain,
( m2_relset_1(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k8_conlat_1('#skF_1')),k8_conlat_1('#skF_1'))
| ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_30123,c_30932]) ).
tff(c_30951,plain,
( m2_relset_1(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| v3_conlat_1('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_30123,c_30123,c_30941]) ).
tff(c_30952,plain,
m2_relset_1(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_10,c_30951]) ).
tff(c_30967,plain,
m1_relset_1(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1')),
inference(resolution,[status(thm)],[c_30952,c_426]) ).
tff(c_30911,plain,
! [A_3427] :
( v1_funct_2(k9_conlat_1(A_3427),k2_zfmisc_1(k8_conlat_1(A_3427),k8_conlat_1(A_3427)),k8_conlat_1(A_3427))
| ~ l2_conlat_1(A_3427)
| v3_conlat_1(A_3427) ),
inference(cnfTransformation,[status(thm)],[f_328]) ).
tff(c_30914,plain,
( v1_funct_2(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k8_conlat_1('#skF_1')),k8_conlat_1('#skF_1'))
| ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_30123,c_30911]) ).
tff(c_30922,plain,
( v1_funct_2(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| v3_conlat_1('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_30123,c_30123,c_30914]) ).
tff(c_30923,plain,
v1_funct_2(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_10,c_30922]) ).
tff(c_31544,plain,
( ~ v1_xboole_0(k9_conlat_1('#skF_1'))
| ~ v1_funct_1(k9_conlat_1('#skF_1'))
| ~ m1_relset_1(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| v1_xboole_0(k7_conlat_1('#skF_1'))
| v1_xboole_0(k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1'))) ),
inference(resolution,[status(thm)],[c_30923,c_31541]) ).
tff(c_31571,plain,
( ~ v1_xboole_0(k9_conlat_1('#skF_1'))
| ~ v1_funct_1(k9_conlat_1('#skF_1'))
| v1_xboole_0(k7_conlat_1('#skF_1'))
| v1_xboole_0(k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1'))) ),
inference(demodulation,[status(thm),theory(equality)],[c_30967,c_31544]) ).
tff(c_31572,plain,
( ~ v1_xboole_0(k9_conlat_1('#skF_1'))
| ~ v1_funct_1(k9_conlat_1('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_30714,c_30202,c_31571]) ).
tff(c_31594,plain,
~ v1_funct_1(k9_conlat_1('#skF_1')),
inference(splitLeft,[status(thm)],[c_31572]) ).
tff(c_31597,plain,
( ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_124,c_31594]) ).
tff(c_31600,plain,
v3_conlat_1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_31597]) ).
tff(c_31602,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10,c_31600]) ).
tff(c_31604,plain,
v1_funct_1(k9_conlat_1('#skF_1')),
inference(splitRight,[status(thm)],[c_31572]) ).
tff(c_30762,plain,
! [A_3407] :
( ( g3_lattices(k8_conlat_1(A_3407),k10_conlat_1(A_3407),k9_conlat_1(A_3407)) = k11_conlat_1(A_3407) )
| ~ l2_conlat_1(A_3407)
| v3_conlat_1(A_3407) ),
inference(cnfTransformation,[status(thm)],[f_227]) ).
tff(c_30771,plain,
( ( g3_lattices(k7_conlat_1('#skF_1'),k10_conlat_1('#skF_1'),k9_conlat_1('#skF_1')) = k11_conlat_1('#skF_1') )
| ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_30123,c_30762]) ).
tff(c_30775,plain,
( ( g3_lattices(k7_conlat_1('#skF_1'),k10_conlat_1('#skF_1'),k9_conlat_1('#skF_1')) = k11_conlat_1('#skF_1') )
| v3_conlat_1('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_30771]) ).
tff(c_30776,plain,
g3_lattices(k7_conlat_1('#skF_1'),k10_conlat_1('#skF_1'),k9_conlat_1('#skF_1')) = k11_conlat_1('#skF_1'),
inference(negUnitSimplification,[status(thm)],[c_10,c_30775]) ).
tff(c_33174,plain,
! [A_3629,B_3630,C_3631] :
( ~ v3_struct_0(g3_lattices(A_3629,B_3630,C_3631))
| ~ m1_relset_1(C_3631,k2_zfmisc_1(A_3629,A_3629),A_3629)
| ~ v1_funct_2(C_3631,k2_zfmisc_1(A_3629,A_3629),A_3629)
| ~ v1_funct_1(C_3631)
| ~ m1_relset_1(B_3630,k2_zfmisc_1(A_3629,A_3629),A_3629)
| ~ v1_funct_2(B_3630,k2_zfmisc_1(A_3629,A_3629),A_3629)
| ~ v1_funct_1(B_3630)
| v1_xboole_0(A_3629) ),
inference(cnfTransformation,[status(thm)],[f_533]) ).
tff(c_33176,plain,
( ~ v3_struct_0(k11_conlat_1('#skF_1'))
| ~ m1_relset_1(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_2(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_1(k9_conlat_1('#skF_1'))
| ~ m1_relset_1(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_2(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_1(k10_conlat_1('#skF_1'))
| v1_xboole_0(k7_conlat_1('#skF_1')) ),
inference(superposition,[status(thm),theory(equality)],[c_30776,c_33174]) ).
tff(c_33191,plain,
( ~ v3_struct_0(k11_conlat_1('#skF_1'))
| v1_xboole_0(k7_conlat_1('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_31615,c_30815,c_31058,c_31604,c_30923,c_30967,c_33176]) ).
tff(c_33192,plain,
~ v3_struct_0(k11_conlat_1('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_30202,c_33191]) ).
tff(c_88,plain,
! [A_44] :
( l3_lattices(k11_conlat_1(A_44))
| ~ l2_conlat_1(A_44)
| v3_conlat_1(A_44) ),
inference(cnfTransformation,[status(thm)],[f_266]) ).
tff(c_46,plain,
! [A_20] :
( v14_lattices(A_20)
| ~ v15_lattices(A_20)
| v3_struct_0(A_20)
| ~ l3_lattices(A_20) ),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_33206,plain,
( v14_lattices(k11_conlat_1('#skF_1'))
| ~ v15_lattices(k11_conlat_1('#skF_1'))
| ~ l3_lattices(k11_conlat_1('#skF_1')) ),
inference(resolution,[status(thm)],[c_46,c_33192]) ).
tff(c_33208,plain,
~ l3_lattices(k11_conlat_1('#skF_1')),
inference(splitLeft,[status(thm)],[c_33206]) ).
tff(c_33211,plain,
( ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_88,c_33208]) ).
tff(c_33214,plain,
v3_conlat_1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_33211]) ).
tff(c_33216,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10,c_33214]) ).
tff(c_33218,plain,
l3_lattices(k11_conlat_1('#skF_1')),
inference(splitRight,[status(thm)],[c_33206]) ).
tff(c_138,plain,
! [A_57] :
( l2_lattices(A_57)
| ~ l3_lattices(A_57) ),
inference(cnfTransformation,[status(thm)],[f_346]) ).
tff(c_33279,plain,
l2_lattices(k11_conlat_1('#skF_1')),
inference(resolution,[status(thm)],[c_33218,c_138]) ).
tff(c_134,plain,
! [A_56] :
( l1_struct_0(A_56)
| ~ l2_lattices(A_56) ),
inference(cnfTransformation,[status(thm)],[f_340]) ).
tff(c_33284,plain,
l1_struct_0(k11_conlat_1('#skF_1')),
inference(resolution,[status(thm)],[c_33279,c_134]) ).
tff(c_32864,plain,
! [A_3610,B_3611,C_3612] :
( v3_lattices(g3_lattices(A_3610,B_3611,C_3612))
| ~ m1_relset_1(C_3612,k2_zfmisc_1(A_3610,A_3610),A_3610)
| ~ v1_funct_2(C_3612,k2_zfmisc_1(A_3610,A_3610),A_3610)
| ~ v1_funct_1(C_3612)
| ~ m1_relset_1(B_3611,k2_zfmisc_1(A_3610,A_3610),A_3610)
| ~ v1_funct_2(B_3611,k2_zfmisc_1(A_3610,A_3610),A_3610)
| ~ v1_funct_1(B_3611) ),
inference(cnfTransformation,[status(thm)],[f_243]) ).
tff(c_32866,plain,
! [B_3611] :
( v3_lattices(g3_lattices(k7_conlat_1('#skF_1'),B_3611,k9_conlat_1('#skF_1')))
| ~ m1_relset_1(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_1(k9_conlat_1('#skF_1'))
| ~ m1_relset_1(B_3611,k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_2(B_3611,k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_1(B_3611) ),
inference(resolution,[status(thm)],[c_30923,c_32864]) ).
tff(c_34244,plain,
! [B_3749] :
( v3_lattices(g3_lattices(k7_conlat_1('#skF_1'),B_3749,k9_conlat_1('#skF_1')))
| ~ m1_relset_1(B_3749,k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_2(B_3749,k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_1(B_3749) ),
inference(demodulation,[status(thm),theory(equality)],[c_31604,c_30967,c_32866]) ).
tff(c_34250,plain,
( v3_lattices(g3_lattices(k7_conlat_1('#skF_1'),k10_conlat_1('#skF_1'),k9_conlat_1('#skF_1')))
| ~ m1_relset_1(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_1(k10_conlat_1('#skF_1')) ),
inference(resolution,[status(thm)],[c_30815,c_34244]) ).
tff(c_34260,plain,
v3_lattices(k11_conlat_1('#skF_1')),
inference(demodulation,[status(thm),theory(equality)],[c_31615,c_31058,c_30776,c_34250]) ).
tff(c_12,plain,
! [A_5] :
( ( g3_lattices(u1_struct_0(A_5),u2_lattices(A_5),u1_lattices(A_5)) = A_5 )
| ~ v3_lattices(A_5)
| ~ l3_lattices(A_5) ),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_33289,plain,
! [B_3642,D_3639,A_3641,C_3638,E_3643,F_3640] :
( ( D_3639 = A_3641 )
| ( g3_lattices(D_3639,E_3643,F_3640) != g3_lattices(A_3641,B_3642,C_3638) )
| ~ m1_relset_1(C_3638,k2_zfmisc_1(A_3641,A_3641),A_3641)
| ~ v1_funct_2(C_3638,k2_zfmisc_1(A_3641,A_3641),A_3641)
| ~ v1_funct_1(C_3638)
| ~ m1_relset_1(B_3642,k2_zfmisc_1(A_3641,A_3641),A_3641)
| ~ v1_funct_2(B_3642,k2_zfmisc_1(A_3641,A_3641),A_3641)
| ~ v1_funct_1(B_3642) ),
inference(cnfTransformation,[status(thm)],[f_647]) ).
tff(c_33293,plain,
! [D_3639,E_3643,F_3640] :
( ( k7_conlat_1('#skF_1') = D_3639 )
| ( g3_lattices(D_3639,E_3643,F_3640) != k11_conlat_1('#skF_1') )
| ~ m1_relset_1(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_2(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_1(k9_conlat_1('#skF_1'))
| ~ m1_relset_1(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_2(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_1(k10_conlat_1('#skF_1')) ),
inference(superposition,[status(thm),theory(equality)],[c_30776,c_33289]) ).
tff(c_33384,plain,
! [D_3656,E_3657,F_3658] :
( ( k7_conlat_1('#skF_1') = D_3656 )
| ( g3_lattices(D_3656,E_3657,F_3658) != k11_conlat_1('#skF_1') ) ),
inference(demodulation,[status(thm),theory(equality)],[c_31615,c_30815,c_31058,c_31604,c_30923,c_30967,c_33293]) ).
tff(c_33393,plain,
! [A_5] :
( ( u1_struct_0(A_5) = k7_conlat_1('#skF_1') )
| ( k11_conlat_1('#skF_1') != A_5 )
| ~ v3_lattices(A_5)
| ~ l3_lattices(A_5) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_33384]) ).
tff(c_34269,plain,
( ( u1_struct_0(k11_conlat_1('#skF_1')) = k7_conlat_1('#skF_1') )
| ~ l3_lattices(k11_conlat_1('#skF_1')) ),
inference(resolution,[status(thm)],[c_34260,c_33393]) ).
tff(c_34278,plain,
u1_struct_0(k11_conlat_1('#skF_1')) = k7_conlat_1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_33218,c_34269]) ).
tff(c_110,plain,
! [A_46] :
( v1_funct_2(k5_conlat_2(A_46),u2_conlat_1(A_46),u1_struct_0(k11_conlat_1(A_46)))
| ~ l2_conlat_1(A_46)
| v3_conlat_1(A_46) ),
inference(cnfTransformation,[status(thm)],[f_289]) ).
tff(c_452,plain,
! [A_152] :
( l1_conlat_1(A_152)
| ~ l2_conlat_1(A_152) ),
inference(cnfTransformation,[status(thm)],[f_336]) ).
tff(c_460,plain,
l1_conlat_1('#skF_1'),
inference(resolution,[status(thm)],[c_8,c_452]) ).
tff(c_4,plain,
m1_subset_1('#skF_3',u2_conlat_1('#skF_1')),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_428,plain,
! [C_129,A_127,B_128] :
( m2_relset_1(C_129,A_127,B_128)
| ~ m1_relset_1(C_129,A_127,B_128) ),
inference(cnfTransformation,[status(thm)],[f_816]) ).
tff(c_30312,plain,
! [C_3332,A_3333,B_3334] :
( m1_subset_1(C_3332,k1_zfmisc_1(k2_zfmisc_1(A_3333,B_3334)))
| ~ m2_relset_1(C_3332,A_3333,B_3334) ),
inference(cnfTransformation,[status(thm)],[f_361]) ).
tff(c_440,plain,
! [A_138,C_140,B_139] :
( m1_subset_1(A_138,C_140)
| ~ m1_subset_1(B_139,k1_zfmisc_1(C_140))
| ~ r2_hidden(A_138,B_139) ),
inference(cnfTransformation,[status(thm)],[f_838]) ).
tff(c_30893,plain,
! [A_3420,A_3421,B_3422,C_3423] :
( m1_subset_1(A_3420,k2_zfmisc_1(A_3421,B_3422))
| ~ r2_hidden(A_3420,C_3423)
| ~ m2_relset_1(C_3423,A_3421,B_3422) ),
inference(resolution,[status(thm)],[c_30312,c_440]) ).
tff(c_31368,plain,
! [A_3474,A_3475,B_3476,B_3477] :
( m1_subset_1(A_3474,k2_zfmisc_1(A_3475,B_3476))
| ~ m2_relset_1(B_3477,A_3475,B_3476)
| v1_xboole_0(B_3477)
| ~ m1_subset_1(A_3474,B_3477) ),
inference(resolution,[status(thm)],[c_434,c_30893]) ).
tff(c_31419,plain,
! [A_3481,A_3482,B_3483,C_3484] :
( m1_subset_1(A_3481,k2_zfmisc_1(A_3482,B_3483))
| v1_xboole_0(C_3484)
| ~ m1_subset_1(A_3481,C_3484)
| ~ m1_relset_1(C_3484,A_3482,B_3483) ),
inference(resolution,[status(thm)],[c_428,c_31368]) ).
tff(c_31477,plain,
! [A_3482,B_3483] :
( m1_subset_1('#skF_3',k2_zfmisc_1(A_3482,B_3483))
| v1_xboole_0(u2_conlat_1('#skF_1'))
| ~ m1_relset_1(u2_conlat_1('#skF_1'),A_3482,B_3483) ),
inference(resolution,[status(thm)],[c_4,c_31419]) ).
tff(c_31522,plain,
v1_xboole_0(u2_conlat_1('#skF_1')),
inference(splitLeft,[status(thm)],[c_31477]) ).
tff(c_190,plain,
! [A_78] :
( ~ v1_xboole_0(u2_conlat_1(A_78))
| ~ l1_conlat_1(A_78)
| v3_conlat_1(A_78) ),
inference(cnfTransformation,[status(thm)],[f_419]) ).
tff(c_31527,plain,
( ~ l1_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_31522,c_190]) ).
tff(c_31536,plain,
v3_conlat_1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_460,c_31527]) ).
tff(c_31538,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10,c_31536]) ).
tff(c_31540,plain,
~ v1_xboole_0(u2_conlat_1('#skF_1')),
inference(splitRight,[status(thm)],[c_31477]) ).
tff(c_112,plain,
! [A_46] :
( v1_funct_1(k5_conlat_2(A_46))
| ~ l2_conlat_1(A_46)
| v3_conlat_1(A_46) ),
inference(cnfTransformation,[status(thm)],[f_289]) ).
tff(c_32417,plain,
! [A_3583,B_3584,C_3585,D_3586] :
( ( k8_funct_2(A_3583,B_3584,C_3585,D_3586) = k1_funct_1(C_3585,D_3586) )
| ~ m1_subset_1(D_3586,A_3583)
| ~ m1_relset_1(C_3585,A_3583,B_3584)
| ~ v1_funct_2(C_3585,A_3583,B_3584)
| ~ v1_funct_1(C_3585)
| v1_xboole_0(A_3583) ),
inference(cnfTransformation,[status(thm)],[f_812]) ).
tff(c_32465,plain,
! [B_3584,C_3585] :
( ( k8_funct_2(u2_conlat_1('#skF_1'),B_3584,C_3585,'#skF_3') = k1_funct_1(C_3585,'#skF_3') )
| ~ m1_relset_1(C_3585,u2_conlat_1('#skF_1'),B_3584)
| ~ v1_funct_2(C_3585,u2_conlat_1('#skF_1'),B_3584)
| ~ v1_funct_1(C_3585)
| v1_xboole_0(u2_conlat_1('#skF_1')) ),
inference(resolution,[status(thm)],[c_4,c_32417]) ).
tff(c_32615,plain,
! [B_3596,C_3597] :
( ( k8_funct_2(u2_conlat_1('#skF_1'),B_3596,C_3597,'#skF_3') = k1_funct_1(C_3597,'#skF_3') )
| ~ m1_relset_1(C_3597,u2_conlat_1('#skF_1'),B_3596)
| ~ v1_funct_2(C_3597,u2_conlat_1('#skF_1'),B_3596)
| ~ v1_funct_1(C_3597) ),
inference(negUnitSimplification,[status(thm)],[c_31540,c_32465]) ).
tff(c_32619,plain,
( ( k8_funct_2(u2_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')),k5_conlat_2('#skF_1'),'#skF_3') = k1_funct_1(k5_conlat_2('#skF_1'),'#skF_3') )
| ~ m1_relset_1(k5_conlat_2('#skF_1'),u2_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')))
| ~ v1_funct_1(k5_conlat_2('#skF_1'))
| ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_110,c_32615]) ).
tff(c_32626,plain,
( ( k8_funct_2(u2_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')),k5_conlat_2('#skF_1'),'#skF_3') = k1_funct_1(k5_conlat_2('#skF_1'),'#skF_3') )
| ~ m1_relset_1(k5_conlat_2('#skF_1'),u2_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')))
| ~ v1_funct_1(k5_conlat_2('#skF_1'))
| v3_conlat_1('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_32619]) ).
tff(c_32627,plain,
( ( k8_funct_2(u2_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')),k5_conlat_2('#skF_1'),'#skF_3') = k1_funct_1(k5_conlat_2('#skF_1'),'#skF_3') )
| ~ m1_relset_1(k5_conlat_2('#skF_1'),u2_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')))
| ~ v1_funct_1(k5_conlat_2('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_10,c_32626]) ).
tff(c_32748,plain,
~ v1_funct_1(k5_conlat_2('#skF_1')),
inference(splitLeft,[status(thm)],[c_32627]) ).
tff(c_32751,plain,
( ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_112,c_32748]) ).
tff(c_32754,plain,
v3_conlat_1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_32751]) ).
tff(c_32756,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10,c_32754]) ).
tff(c_32758,plain,
v1_funct_1(k5_conlat_2('#skF_1')),
inference(splitRight,[status(thm)],[c_32627]) ).
tff(c_30718,plain,
! [A_3395] :
( m2_relset_1(k5_conlat_2(A_3395),u2_conlat_1(A_3395),u1_struct_0(k11_conlat_1(A_3395)))
| ~ l2_conlat_1(A_3395)
| v3_conlat_1(A_3395) ),
inference(cnfTransformation,[status(thm)],[f_289]) ).
tff(c_30726,plain,
! [A_3395] :
( m1_relset_1(k5_conlat_2(A_3395),u2_conlat_1(A_3395),u1_struct_0(k11_conlat_1(A_3395)))
| ~ l2_conlat_1(A_3395)
| v3_conlat_1(A_3395) ),
inference(resolution,[status(thm)],[c_30718,c_426]) ).
tff(c_32757,plain,
( ~ m1_relset_1(k5_conlat_2('#skF_1'),u2_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')))
| ( k8_funct_2(u2_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')),k5_conlat_2('#skF_1'),'#skF_3') = k1_funct_1(k5_conlat_2('#skF_1'),'#skF_3') ) ),
inference(splitRight,[status(thm)],[c_32627]) ).
tff(c_33315,plain,
~ m1_relset_1(k5_conlat_2('#skF_1'),u2_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1'))),
inference(splitLeft,[status(thm)],[c_32757]) ).
tff(c_33322,plain,
( ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_30726,c_33315]) ).
tff(c_33325,plain,
v3_conlat_1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_33322]) ).
tff(c_33327,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10,c_33325]) ).
tff(c_33329,plain,
m1_relset_1(k5_conlat_2('#skF_1'),u2_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1'))),
inference(splitRight,[status(thm)],[c_32757]) ).
tff(c_33328,plain,
k8_funct_2(u2_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')),k5_conlat_2('#skF_1'),'#skF_3') = k1_funct_1(k5_conlat_2('#skF_1'),'#skF_3'),
inference(splitRight,[status(thm)],[c_32757]) ).
tff(c_118,plain,
! [A_49,B_50,C_51,D_52] :
( m1_subset_1(k8_funct_2(A_49,B_50,C_51,D_52),B_50)
| ~ m1_subset_1(D_52,A_49)
| ~ m1_relset_1(C_51,A_49,B_50)
| ~ v1_funct_2(C_51,A_49,B_50)
| ~ v1_funct_1(C_51)
| v1_xboole_0(A_49) ),
inference(cnfTransformation,[status(thm)],[f_317]) ).
tff(c_33575,plain,
( m1_subset_1(k1_funct_1(k5_conlat_2('#skF_1'),'#skF_3'),u1_struct_0(k11_conlat_1('#skF_1')))
| ~ m1_subset_1('#skF_3',u2_conlat_1('#skF_1'))
| ~ m1_relset_1(k5_conlat_2('#skF_1'),u2_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')))
| ~ v1_funct_2(k5_conlat_2('#skF_1'),u2_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')))
| ~ v1_funct_1(k5_conlat_2('#skF_1'))
| v1_xboole_0(u2_conlat_1('#skF_1')) ),
inference(superposition,[status(thm),theory(equality)],[c_33328,c_118]) ).
tff(c_33579,plain,
( m1_subset_1(k1_funct_1(k5_conlat_2('#skF_1'),'#skF_3'),u1_struct_0(k11_conlat_1('#skF_1')))
| ~ v1_funct_2(k5_conlat_2('#skF_1'),u2_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')))
| v1_xboole_0(u2_conlat_1('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_32758,c_33329,c_4,c_33575]) ).
tff(c_33580,plain,
( m1_subset_1(k1_funct_1(k5_conlat_2('#skF_1'),'#skF_3'),u1_struct_0(k11_conlat_1('#skF_1')))
| ~ v1_funct_2(k5_conlat_2('#skF_1'),u2_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1'))) ),
inference(negUnitSimplification,[status(thm)],[c_31540,c_33579]) ).
tff(c_33984,plain,
~ v1_funct_2(k5_conlat_2('#skF_1'),u2_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1'))),
inference(splitLeft,[status(thm)],[c_33580]) ).
tff(c_33987,plain,
( ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_110,c_33984]) ).
tff(c_33990,plain,
v3_conlat_1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_33987]) ).
tff(c_33992,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10,c_33990]) ).
tff(c_33993,plain,
m1_subset_1(k1_funct_1(k5_conlat_2('#skF_1'),'#skF_3'),u1_struct_0(k11_conlat_1('#skF_1'))),
inference(splitRight,[status(thm)],[c_33580]) ).
tff(c_25346,plain,
! [A_2749] :
( ( k8_conlat_1(A_2749) = k7_conlat_1(A_2749) )
| ~ l2_conlat_1(A_2749)
| v3_conlat_1(A_2749) ),
inference(cnfTransformation,[status(thm)],[f_799]) ).
tff(c_25349,plain,
( ( k8_conlat_1('#skF_1') = k7_conlat_1('#skF_1') )
| ~ l2_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_25346,c_10]) ).
tff(c_25352,plain,
k8_conlat_1('#skF_1') = k7_conlat_1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_25349]) ).
tff(c_25397,plain,
! [A_2764] :
( m1_conlat_1(k8_conlat_1(A_2764),A_2764)
| ~ l2_conlat_1(A_2764)
| v3_conlat_1(A_2764) ),
inference(cnfTransformation,[status(thm)],[f_304]) ).
tff(c_25400,plain,
( m1_conlat_1(k7_conlat_1('#skF_1'),'#skF_1')
| ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_25352,c_25397]) ).
tff(c_25402,plain,
( m1_conlat_1(k7_conlat_1('#skF_1'),'#skF_1')
| v3_conlat_1('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_25400]) ).
tff(c_25403,plain,
m1_conlat_1(k7_conlat_1('#skF_1'),'#skF_1'),
inference(negUnitSimplification,[status(thm)],[c_10,c_25402]) ).
tff(c_25450,plain,
! [B_2783,A_2784] :
( ~ v1_xboole_0(B_2783)
| ~ m1_conlat_1(B_2783,A_2784)
| ~ l2_conlat_1(A_2784)
| v3_conlat_1(A_2784) ),
inference(cnfTransformation,[status(thm)],[f_357]) ).
tff(c_25453,plain,
( ~ v1_xboole_0(k7_conlat_1('#skF_1'))
| ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_25403,c_25450]) ).
tff(c_25462,plain,
( ~ v1_xboole_0(k7_conlat_1('#skF_1'))
| v3_conlat_1('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_25453]) ).
tff(c_25463,plain,
~ v1_xboole_0(k7_conlat_1('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_10,c_25462]) ).
tff(c_25417,plain,
! [C_2773,B_2774,A_2775] :
( ~ v1_xboole_0(C_2773)
| ~ m1_subset_1(B_2774,k1_zfmisc_1(C_2773))
| ~ r2_hidden(A_2775,B_2774) ),
inference(cnfTransformation,[status(thm)],[f_845]) ).
tff(c_25440,plain,
! [C_2778,A_2779] :
( ~ v1_xboole_0(C_2778)
| ~ r2_hidden(A_2779,'#skF_14'(k1_zfmisc_1(C_2778))) ),
inference(resolution,[status(thm)],[c_186,c_25417]) ).
tff(c_25777,plain,
! [C_2853,A_2854] :
( ~ v1_xboole_0(C_2853)
| v1_xboole_0('#skF_14'(k1_zfmisc_1(C_2853)))
| ~ m1_subset_1(A_2854,'#skF_14'(k1_zfmisc_1(C_2853))) ),
inference(resolution,[status(thm)],[c_434,c_25440]) ).
tff(c_25781,plain,
! [C_2853] :
( ~ v1_xboole_0(C_2853)
| v1_xboole_0('#skF_14'(k1_zfmisc_1(C_2853))) ),
inference(resolution,[status(thm)],[c_186,c_25777]) ).
tff(c_25791,plain,
! [C_2856] :
( ~ v1_xboole_0(C_2856)
| v1_xboole_0('#skF_14'(k1_zfmisc_1(C_2856))) ),
inference(resolution,[status(thm)],[c_186,c_25777]) ).
tff(c_25835,plain,
! [A_2859,C_2860] :
( ( A_2859 = '#skF_14'(k1_zfmisc_1(C_2860)) )
| ~ v1_xboole_0(A_2859)
| ~ v1_xboole_0(C_2860) ),
inference(resolution,[status(thm)],[c_25791,c_448]) ).
tff(c_25842,plain,
! [C_2862,C_2861] :
( ( '#skF_14'(k1_zfmisc_1(C_2862)) = '#skF_14'(k1_zfmisc_1(C_2861)) )
| ~ v1_xboole_0(C_2861)
| ~ v1_xboole_0(C_2862) ),
inference(resolution,[status(thm)],[c_25781,c_25835]) ).
tff(c_25256,plain,
! [C_2734,A_2735,B_2736] :
( v1_relat_1(C_2734)
| ~ m1_subset_1(C_2734,k1_zfmisc_1(k2_zfmisc_1(A_2735,B_2736))) ),
inference(cnfTransformation,[status(thm)],[f_102]) ).
tff(c_25276,plain,
! [A_2735,B_2736] : v1_relat_1('#skF_14'(k1_zfmisc_1(k2_zfmisc_1(A_2735,B_2736)))),
inference(resolution,[status(thm)],[c_186,c_25256]) ).
tff(c_25887,plain,
! [C_2862,A_2735,B_2736] :
( v1_relat_1('#skF_14'(k1_zfmisc_1(C_2862)))
| ~ v1_xboole_0(k2_zfmisc_1(A_2735,B_2736))
| ~ v1_xboole_0(C_2862) ),
inference(superposition,[status(thm),theory(equality)],[c_25842,c_25276]) ).
tff(c_25986,plain,
! [A_2735,B_2736] : ~ v1_xboole_0(k2_zfmisc_1(A_2735,B_2736)),
inference(splitLeft,[status(thm)],[c_25887]) ).
tff(c_26392,plain,
! [A_2921] :
( m2_relset_1(k10_conlat_1(A_2921),k2_zfmisc_1(k8_conlat_1(A_2921),k8_conlat_1(A_2921)),k8_conlat_1(A_2921))
| ~ l2_conlat_1(A_2921)
| v3_conlat_1(A_2921) ),
inference(cnfTransformation,[status(thm)],[f_254]) ).
tff(c_26401,plain,
( m2_relset_1(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k8_conlat_1('#skF_1')),k8_conlat_1('#skF_1'))
| ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_25352,c_26392]) ).
tff(c_26411,plain,
( m2_relset_1(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| v3_conlat_1('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_25352,c_25352,c_26401]) ).
tff(c_26412,plain,
m2_relset_1(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_10,c_26411]) ).
tff(c_26427,plain,
m1_relset_1(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1')),
inference(resolution,[status(thm)],[c_26412,c_426]) ).
tff(c_26073,plain,
! [A_2895] :
( v1_funct_2(k10_conlat_1(A_2895),k2_zfmisc_1(k8_conlat_1(A_2895),k8_conlat_1(A_2895)),k8_conlat_1(A_2895))
| ~ l2_conlat_1(A_2895)
| v3_conlat_1(A_2895) ),
inference(cnfTransformation,[status(thm)],[f_254]) ).
tff(c_26076,plain,
( v1_funct_2(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k8_conlat_1('#skF_1')),k8_conlat_1('#skF_1'))
| ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_25352,c_26073]) ).
tff(c_26084,plain,
( v1_funct_2(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| v3_conlat_1('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_25352,c_25352,c_26076]) ).
tff(c_26085,plain,
v1_funct_2(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_10,c_26084]) ).
tff(c_26887,plain,
! [C_3001,A_3002,B_3003] :
( ~ v1_xboole_0(C_3001)
| ~ v1_funct_2(C_3001,A_3002,B_3003)
| ~ v1_funct_1(C_3001)
| ~ m1_relset_1(C_3001,A_3002,B_3003)
| v1_xboole_0(B_3003)
| v1_xboole_0(A_3002) ),
inference(cnfTransformation,[status(thm)],[f_199]) ).
tff(c_26896,plain,
( ~ v1_xboole_0(k10_conlat_1('#skF_1'))
| ~ v1_funct_1(k10_conlat_1('#skF_1'))
| ~ m1_relset_1(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| v1_xboole_0(k7_conlat_1('#skF_1'))
| v1_xboole_0(k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1'))) ),
inference(resolution,[status(thm)],[c_26085,c_26887]) ).
tff(c_26924,plain,
( ~ v1_xboole_0(k10_conlat_1('#skF_1'))
| ~ v1_funct_1(k10_conlat_1('#skF_1'))
| v1_xboole_0(k7_conlat_1('#skF_1'))
| v1_xboole_0(k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1'))) ),
inference(demodulation,[status(thm),theory(equality)],[c_26427,c_26896]) ).
tff(c_26925,plain,
( ~ v1_xboole_0(k10_conlat_1('#skF_1'))
| ~ v1_funct_1(k10_conlat_1('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_25986,c_25463,c_26924]) ).
tff(c_26976,plain,
~ v1_funct_1(k10_conlat_1('#skF_1')),
inference(splitLeft,[status(thm)],[c_26925]) ).
tff(c_26979,plain,
( ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_86,c_26976]) ).
tff(c_26982,plain,
v3_conlat_1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_26979]) ).
tff(c_26984,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10,c_26982]) ).
tff(c_26986,plain,
v1_funct_1(k10_conlat_1('#skF_1')),
inference(splitRight,[status(thm)],[c_26925]) ).
tff(c_26228,plain,
! [A_2906] :
( m2_relset_1(k9_conlat_1(A_2906),k2_zfmisc_1(k8_conlat_1(A_2906),k8_conlat_1(A_2906)),k8_conlat_1(A_2906))
| ~ l2_conlat_1(A_2906)
| v3_conlat_1(A_2906) ),
inference(cnfTransformation,[status(thm)],[f_328]) ).
tff(c_26237,plain,
( m2_relset_1(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k8_conlat_1('#skF_1')),k8_conlat_1('#skF_1'))
| ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_25352,c_26228]) ).
tff(c_26247,plain,
( m2_relset_1(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| v3_conlat_1('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_25352,c_25352,c_26237]) ).
tff(c_26248,plain,
m2_relset_1(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_10,c_26247]) ).
tff(c_26263,plain,
m1_relset_1(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1')),
inference(resolution,[status(thm)],[c_26248,c_426]) ).
tff(c_26349,plain,
! [A_2918] :
( v1_funct_2(k9_conlat_1(A_2918),k2_zfmisc_1(k8_conlat_1(A_2918),k8_conlat_1(A_2918)),k8_conlat_1(A_2918))
| ~ l2_conlat_1(A_2918)
| v3_conlat_1(A_2918) ),
inference(cnfTransformation,[status(thm)],[f_328]) ).
tff(c_26352,plain,
( v1_funct_2(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k8_conlat_1('#skF_1')),k8_conlat_1('#skF_1'))
| ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_25352,c_26349]) ).
tff(c_26360,plain,
( v1_funct_2(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| v3_conlat_1('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_25352,c_25352,c_26352]) ).
tff(c_26361,plain,
v1_funct_2(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_10,c_26360]) ).
tff(c_26890,plain,
( ~ v1_xboole_0(k9_conlat_1('#skF_1'))
| ~ v1_funct_1(k9_conlat_1('#skF_1'))
| ~ m1_relset_1(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| v1_xboole_0(k7_conlat_1('#skF_1'))
| v1_xboole_0(k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1'))) ),
inference(resolution,[status(thm)],[c_26361,c_26887]) ).
tff(c_26917,plain,
( ~ v1_xboole_0(k9_conlat_1('#skF_1'))
| ~ v1_funct_1(k9_conlat_1('#skF_1'))
| v1_xboole_0(k7_conlat_1('#skF_1'))
| v1_xboole_0(k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1'))) ),
inference(demodulation,[status(thm),theory(equality)],[c_26263,c_26890]) ).
tff(c_26918,plain,
( ~ v1_xboole_0(k9_conlat_1('#skF_1'))
| ~ v1_funct_1(k9_conlat_1('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_25986,c_25463,c_26917]) ).
tff(c_26940,plain,
~ v1_funct_1(k9_conlat_1('#skF_1')),
inference(splitLeft,[status(thm)],[c_26918]) ).
tff(c_26943,plain,
( ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_124,c_26940]) ).
tff(c_26946,plain,
v3_conlat_1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_26943]) ).
tff(c_26948,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10,c_26946]) ).
tff(c_26950,plain,
v1_funct_1(k9_conlat_1('#skF_1')),
inference(splitRight,[status(thm)],[c_26918]) ).
tff(c_26033,plain,
! [A_2885] :
( ( g3_lattices(k8_conlat_1(A_2885),k10_conlat_1(A_2885),k9_conlat_1(A_2885)) = k11_conlat_1(A_2885) )
| ~ l2_conlat_1(A_2885)
| v3_conlat_1(A_2885) ),
inference(cnfTransformation,[status(thm)],[f_227]) ).
tff(c_26042,plain,
( ( g3_lattices(k7_conlat_1('#skF_1'),k10_conlat_1('#skF_1'),k9_conlat_1('#skF_1')) = k11_conlat_1('#skF_1') )
| ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_25352,c_26033]) ).
tff(c_26046,plain,
( ( g3_lattices(k7_conlat_1('#skF_1'),k10_conlat_1('#skF_1'),k9_conlat_1('#skF_1')) = k11_conlat_1('#skF_1') )
| v3_conlat_1('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_26042]) ).
tff(c_26047,plain,
g3_lattices(k7_conlat_1('#skF_1'),k10_conlat_1('#skF_1'),k9_conlat_1('#skF_1')) = k11_conlat_1('#skF_1'),
inference(negUnitSimplification,[status(thm)],[c_10,c_26046]) ).
tff(c_28382,plain,
! [A_3099,B_3100,C_3101] :
( ~ v3_struct_0(g3_lattices(A_3099,B_3100,C_3101))
| ~ m1_relset_1(C_3101,k2_zfmisc_1(A_3099,A_3099),A_3099)
| ~ v1_funct_2(C_3101,k2_zfmisc_1(A_3099,A_3099),A_3099)
| ~ v1_funct_1(C_3101)
| ~ m1_relset_1(B_3100,k2_zfmisc_1(A_3099,A_3099),A_3099)
| ~ v1_funct_2(B_3100,k2_zfmisc_1(A_3099,A_3099),A_3099)
| ~ v1_funct_1(B_3100)
| v1_xboole_0(A_3099) ),
inference(cnfTransformation,[status(thm)],[f_533]) ).
tff(c_28384,plain,
( ~ v3_struct_0(k11_conlat_1('#skF_1'))
| ~ m1_relset_1(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_2(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_1(k9_conlat_1('#skF_1'))
| ~ m1_relset_1(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_2(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_1(k10_conlat_1('#skF_1'))
| v1_xboole_0(k7_conlat_1('#skF_1')) ),
inference(superposition,[status(thm),theory(equality)],[c_26047,c_28382]) ).
tff(c_28399,plain,
( ~ v3_struct_0(k11_conlat_1('#skF_1'))
| v1_xboole_0(k7_conlat_1('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_26986,c_26085,c_26427,c_26950,c_26361,c_26263,c_28384]) ).
tff(c_28400,plain,
~ v3_struct_0(k11_conlat_1('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_25463,c_28399]) ).
tff(c_28414,plain,
( v14_lattices(k11_conlat_1('#skF_1'))
| ~ v15_lattices(k11_conlat_1('#skF_1'))
| ~ l3_lattices(k11_conlat_1('#skF_1')) ),
inference(resolution,[status(thm)],[c_46,c_28400]) ).
tff(c_28416,plain,
~ l3_lattices(k11_conlat_1('#skF_1')),
inference(splitLeft,[status(thm)],[c_28414]) ).
tff(c_28419,plain,
( ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_88,c_28416]) ).
tff(c_28422,plain,
v3_conlat_1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_28419]) ).
tff(c_28424,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10,c_28422]) ).
tff(c_28426,plain,
l3_lattices(k11_conlat_1('#skF_1')),
inference(splitRight,[status(thm)],[c_28414]) ).
tff(c_28444,plain,
l2_lattices(k11_conlat_1('#skF_1')),
inference(resolution,[status(thm)],[c_28426,c_138]) ).
tff(c_28449,plain,
l1_struct_0(k11_conlat_1('#skF_1')),
inference(resolution,[status(thm)],[c_28444,c_134]) ).
tff(c_298,plain,
! [A_93] :
( v3_lattices(k11_conlat_1(A_93))
| ~ l2_conlat_1(A_93)
| v3_conlat_1(A_93) ),
inference(cnfTransformation,[status(thm)],[f_609]) ).
tff(c_28454,plain,
! [D_3103,C_3102,F_3104,B_3106,A_3105,E_3107] :
( ( F_3104 = C_3102 )
| ( g3_lattices(D_3103,E_3107,F_3104) != g3_lattices(A_3105,B_3106,C_3102) )
| ~ m1_relset_1(C_3102,k2_zfmisc_1(A_3105,A_3105),A_3105)
| ~ v1_funct_2(C_3102,k2_zfmisc_1(A_3105,A_3105),A_3105)
| ~ v1_funct_1(C_3102)
| ~ m1_relset_1(B_3106,k2_zfmisc_1(A_3105,A_3105),A_3105)
| ~ v1_funct_2(B_3106,k2_zfmisc_1(A_3105,A_3105),A_3105)
| ~ v1_funct_1(B_3106) ),
inference(cnfTransformation,[status(thm)],[f_647]) ).
tff(c_28458,plain,
! [F_3104,D_3103,E_3107] :
( ( k9_conlat_1('#skF_1') = F_3104 )
| ( g3_lattices(D_3103,E_3107,F_3104) != k11_conlat_1('#skF_1') )
| ~ m1_relset_1(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_2(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_1(k9_conlat_1('#skF_1'))
| ~ m1_relset_1(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_2(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_1(k10_conlat_1('#skF_1')) ),
inference(superposition,[status(thm),theory(equality)],[c_26047,c_28454]) ).
tff(c_28541,plain,
! [F_3117,D_3118,E_3119] :
( ( k9_conlat_1('#skF_1') = F_3117 )
| ( g3_lattices(D_3118,E_3119,F_3117) != k11_conlat_1('#skF_1') ) ),
inference(demodulation,[status(thm),theory(equality)],[c_26986,c_26085,c_26427,c_26950,c_26361,c_26263,c_28458]) ).
tff(c_28604,plain,
! [A_3134] :
( ( u1_lattices(A_3134) = k9_conlat_1('#skF_1') )
| ( k11_conlat_1('#skF_1') != A_3134 )
| ~ v3_lattices(A_3134)
| ~ l3_lattices(A_3134) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_28541]) ).
tff(c_29537,plain,
! [A_3219] :
( ( u1_lattices(k11_conlat_1(A_3219)) = k9_conlat_1('#skF_1') )
| ( k11_conlat_1(A_3219) != k11_conlat_1('#skF_1') )
| ~ l3_lattices(k11_conlat_1(A_3219))
| ~ l2_conlat_1(A_3219)
| v3_conlat_1(A_3219) ),
inference(resolution,[status(thm)],[c_298,c_28604]) ).
tff(c_29540,plain,
( ( u1_lattices(k11_conlat_1('#skF_1')) = k9_conlat_1('#skF_1') )
| ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_28426,c_29537]) ).
tff(c_29546,plain,
( ( u1_lattices(k11_conlat_1('#skF_1')) = k9_conlat_1('#skF_1') )
| v3_conlat_1('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_29540]) ).
tff(c_29547,plain,
u1_lattices(k11_conlat_1('#skF_1')) = k9_conlat_1('#skF_1'),
inference(negUnitSimplification,[status(thm)],[c_10,c_29546]) ).
tff(c_29569,plain,
( ( g3_lattices(u1_struct_0(k11_conlat_1('#skF_1')),u2_lattices(k11_conlat_1('#skF_1')),k9_conlat_1('#skF_1')) = k11_conlat_1('#skF_1') )
| ~ v3_lattices(k11_conlat_1('#skF_1'))
| ~ l3_lattices(k11_conlat_1('#skF_1')) ),
inference(superposition,[status(thm),theory(equality)],[c_29547,c_12]) ).
tff(c_29606,plain,
( ( g3_lattices(u1_struct_0(k11_conlat_1('#skF_1')),u2_lattices(k11_conlat_1('#skF_1')),k9_conlat_1('#skF_1')) = k11_conlat_1('#skF_1') )
| ~ v3_lattices(k11_conlat_1('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_28426,c_29569]) ).
tff(c_29795,plain,
~ v3_lattices(k11_conlat_1('#skF_1')),
inference(splitLeft,[status(thm)],[c_29606]) ).
tff(c_29798,plain,
( ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_298,c_29795]) ).
tff(c_29801,plain,
v3_conlat_1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_29798]) ).
tff(c_29803,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10,c_29801]) ).
tff(c_29805,plain,
v3_lattices(k11_conlat_1('#skF_1')),
inference(splitRight,[status(thm)],[c_29606]) ).
tff(c_28559,plain,
! [B_3124,F_3122,E_3125,A_3123,C_3120,D_3121] :
( ( D_3121 = A_3123 )
| ( g3_lattices(D_3121,E_3125,F_3122) != g3_lattices(A_3123,B_3124,C_3120) )
| ~ m1_relset_1(C_3120,k2_zfmisc_1(A_3123,A_3123),A_3123)
| ~ v1_funct_2(C_3120,k2_zfmisc_1(A_3123,A_3123),A_3123)
| ~ v1_funct_1(C_3120)
| ~ m1_relset_1(B_3124,k2_zfmisc_1(A_3123,A_3123),A_3123)
| ~ v1_funct_2(B_3124,k2_zfmisc_1(A_3123,A_3123),A_3123)
| ~ v1_funct_1(B_3124) ),
inference(cnfTransformation,[status(thm)],[f_647]) ).
tff(c_28563,plain,
! [D_3121,E_3125,F_3122] :
( ( k7_conlat_1('#skF_1') = D_3121 )
| ( g3_lattices(D_3121,E_3125,F_3122) != k11_conlat_1('#skF_1') )
| ~ m1_relset_1(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_2(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_1(k9_conlat_1('#skF_1'))
| ~ m1_relset_1(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_2(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_1(k10_conlat_1('#skF_1')) ),
inference(superposition,[status(thm),theory(equality)],[c_26047,c_28559]) ).
tff(c_28574,plain,
! [D_3126,E_3127,F_3128] :
( ( k7_conlat_1('#skF_1') = D_3126 )
| ( g3_lattices(D_3126,E_3127,F_3128) != k11_conlat_1('#skF_1') ) ),
inference(demodulation,[status(thm),theory(equality)],[c_26986,c_26085,c_26427,c_26950,c_26361,c_26263,c_28563]) ).
tff(c_28583,plain,
! [A_5] :
( ( u1_struct_0(A_5) = k7_conlat_1('#skF_1') )
| ( k11_conlat_1('#skF_1') != A_5 )
| ~ v3_lattices(A_5)
| ~ l3_lattices(A_5) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_28574]) ).
tff(c_29834,plain,
( ( u1_struct_0(k11_conlat_1('#skF_1')) = k7_conlat_1('#skF_1') )
| ~ l3_lattices(k11_conlat_1('#skF_1')) ),
inference(resolution,[status(thm)],[c_29805,c_28583]) ).
tff(c_29843,plain,
u1_struct_0(k11_conlat_1('#skF_1')) = k7_conlat_1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_28426,c_29834]) ).
tff(c_104,plain,
! [A_45] :
( v1_funct_2(k4_conlat_2(A_45),u1_conlat_1(A_45),u1_struct_0(k11_conlat_1(A_45)))
| ~ l2_conlat_1(A_45)
| v3_conlat_1(A_45) ),
inference(cnfTransformation,[status(thm)],[f_278]) ).
tff(c_6,plain,
m1_subset_1('#skF_2',u1_conlat_1('#skF_1')),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_25549,plain,
! [C_2804,A_2805,B_2806] :
( m1_subset_1(C_2804,k1_zfmisc_1(k2_zfmisc_1(A_2805,B_2806)))
| ~ m2_relset_1(C_2804,A_2805,B_2806) ),
inference(cnfTransformation,[status(thm)],[f_361]) ).
tff(c_26063,plain,
! [A_2889,A_2890,B_2891,C_2892] :
( m1_subset_1(A_2889,k2_zfmisc_1(A_2890,B_2891))
| ~ r2_hidden(A_2889,C_2892)
| ~ m2_relset_1(C_2892,A_2890,B_2891) ),
inference(resolution,[status(thm)],[c_25549,c_440]) ).
tff(c_26612,plain,
! [A_2949,A_2950,B_2951,B_2952] :
( m1_subset_1(A_2949,k2_zfmisc_1(A_2950,B_2951))
| ~ m2_relset_1(B_2952,A_2950,B_2951)
| v1_xboole_0(B_2952)
| ~ m1_subset_1(A_2949,B_2952) ),
inference(resolution,[status(thm)],[c_434,c_26063]) ).
tff(c_26669,plain,
! [A_2957,A_2958,B_2959,C_2960] :
( m1_subset_1(A_2957,k2_zfmisc_1(A_2958,B_2959))
| v1_xboole_0(C_2960)
| ~ m1_subset_1(A_2957,C_2960)
| ~ m1_relset_1(C_2960,A_2958,B_2959) ),
inference(resolution,[status(thm)],[c_428,c_26612]) ).
tff(c_26731,plain,
! [A_2958,B_2959] :
( m1_subset_1('#skF_2',k2_zfmisc_1(A_2958,B_2959))
| v1_xboole_0(u1_conlat_1('#skF_1'))
| ~ m1_relset_1(u1_conlat_1('#skF_1'),A_2958,B_2959) ),
inference(resolution,[status(thm)],[c_6,c_26669]) ).
tff(c_26793,plain,
v1_xboole_0(u1_conlat_1('#skF_1')),
inference(splitLeft,[status(thm)],[c_26731]) ).
tff(c_224,plain,
! [A_82] :
( ~ v1_xboole_0(u1_conlat_1(A_82))
| ~ l1_conlat_1(A_82)
| v3_conlat_1(A_82) ),
inference(cnfTransformation,[status(thm)],[f_471]) ).
tff(c_26798,plain,
( ~ l1_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_26793,c_224]) ).
tff(c_26807,plain,
v3_conlat_1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_460,c_26798]) ).
tff(c_26809,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10,c_26807]) ).
tff(c_26811,plain,
~ v1_xboole_0(u1_conlat_1('#skF_1')),
inference(splitRight,[status(thm)],[c_26731]) ).
tff(c_106,plain,
! [A_45] :
( v1_funct_1(k4_conlat_2(A_45))
| ~ l2_conlat_1(A_45)
| v3_conlat_1(A_45) ),
inference(cnfTransformation,[status(thm)],[f_278]) ).
tff(c_27611,plain,
! [A_3047,B_3048,C_3049,D_3050] :
( ( k8_funct_2(A_3047,B_3048,C_3049,D_3050) = k1_funct_1(C_3049,D_3050) )
| ~ m1_subset_1(D_3050,A_3047)
| ~ m1_relset_1(C_3049,A_3047,B_3048)
| ~ v1_funct_2(C_3049,A_3047,B_3048)
| ~ v1_funct_1(C_3049)
| v1_xboole_0(A_3047) ),
inference(cnfTransformation,[status(thm)],[f_812]) ).
tff(c_27655,plain,
! [B_3048,C_3049] :
( ( k8_funct_2(u1_conlat_1('#skF_1'),B_3048,C_3049,'#skF_2') = k1_funct_1(C_3049,'#skF_2') )
| ~ m1_relset_1(C_3049,u1_conlat_1('#skF_1'),B_3048)
| ~ v1_funct_2(C_3049,u1_conlat_1('#skF_1'),B_3048)
| ~ v1_funct_1(C_3049)
| v1_xboole_0(u1_conlat_1('#skF_1')) ),
inference(resolution,[status(thm)],[c_6,c_27611]) ).
tff(c_27883,plain,
! [B_3074,C_3075] :
( ( k8_funct_2(u1_conlat_1('#skF_1'),B_3074,C_3075,'#skF_2') = k1_funct_1(C_3075,'#skF_2') )
| ~ m1_relset_1(C_3075,u1_conlat_1('#skF_1'),B_3074)
| ~ v1_funct_2(C_3075,u1_conlat_1('#skF_1'),B_3074)
| ~ v1_funct_1(C_3075) ),
inference(negUnitSimplification,[status(thm)],[c_26811,c_27655]) ).
tff(c_27887,plain,
( ( k8_funct_2(u1_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')),k4_conlat_2('#skF_1'),'#skF_2') = k1_funct_1(k4_conlat_2('#skF_1'),'#skF_2') )
| ~ m1_relset_1(k4_conlat_2('#skF_1'),u1_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')))
| ~ v1_funct_1(k4_conlat_2('#skF_1'))
| ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_104,c_27883]) ).
tff(c_27894,plain,
( ( k8_funct_2(u1_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')),k4_conlat_2('#skF_1'),'#skF_2') = k1_funct_1(k4_conlat_2('#skF_1'),'#skF_2') )
| ~ m1_relset_1(k4_conlat_2('#skF_1'),u1_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')))
| ~ v1_funct_1(k4_conlat_2('#skF_1'))
| v3_conlat_1('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_27887]) ).
tff(c_27895,plain,
( ( k8_funct_2(u1_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')),k4_conlat_2('#skF_1'),'#skF_2') = k1_funct_1(k4_conlat_2('#skF_1'),'#skF_2') )
| ~ m1_relset_1(k4_conlat_2('#skF_1'),u1_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')))
| ~ v1_funct_1(k4_conlat_2('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_10,c_27894]) ).
tff(c_28039,plain,
~ v1_funct_1(k4_conlat_2('#skF_1')),
inference(splitLeft,[status(thm)],[c_27895]) ).
tff(c_28042,plain,
( ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_106,c_28039]) ).
tff(c_28045,plain,
v3_conlat_1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_28042]) ).
tff(c_28047,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10,c_28045]) ).
tff(c_28049,plain,
v1_funct_1(k4_conlat_2('#skF_1')),
inference(splitRight,[status(thm)],[c_27895]) ).
tff(c_25782,plain,
! [A_2855] :
( m2_relset_1(k4_conlat_2(A_2855),u1_conlat_1(A_2855),u1_struct_0(k11_conlat_1(A_2855)))
| ~ l2_conlat_1(A_2855)
| v3_conlat_1(A_2855) ),
inference(cnfTransformation,[status(thm)],[f_278]) ).
tff(c_25790,plain,
! [A_2855] :
( m1_relset_1(k4_conlat_2(A_2855),u1_conlat_1(A_2855),u1_struct_0(k11_conlat_1(A_2855)))
| ~ l2_conlat_1(A_2855)
| v3_conlat_1(A_2855) ),
inference(resolution,[status(thm)],[c_25782,c_426]) ).
tff(c_28048,plain,
( ~ m1_relset_1(k4_conlat_2('#skF_1'),u1_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')))
| ( k8_funct_2(u1_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')),k4_conlat_2('#skF_1'),'#skF_2') = k1_funct_1(k4_conlat_2('#skF_1'),'#skF_2') ) ),
inference(splitRight,[status(thm)],[c_27895]) ).
tff(c_28526,plain,
~ m1_relset_1(k4_conlat_2('#skF_1'),u1_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1'))),
inference(splitLeft,[status(thm)],[c_28048]) ).
tff(c_28529,plain,
( ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_25790,c_28526]) ).
tff(c_28532,plain,
v3_conlat_1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_28529]) ).
tff(c_28534,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10,c_28532]) ).
tff(c_28536,plain,
m1_relset_1(k4_conlat_2('#skF_1'),u1_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1'))),
inference(splitRight,[status(thm)],[c_28048]) ).
tff(c_28535,plain,
k8_funct_2(u1_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')),k4_conlat_2('#skF_1'),'#skF_2') = k1_funct_1(k4_conlat_2('#skF_1'),'#skF_2'),
inference(splitRight,[status(thm)],[c_28048]) ).
tff(c_28776,plain,
( m1_subset_1(k1_funct_1(k4_conlat_2('#skF_1'),'#skF_2'),u1_struct_0(k11_conlat_1('#skF_1')))
| ~ m1_subset_1('#skF_2',u1_conlat_1('#skF_1'))
| ~ m1_relset_1(k4_conlat_2('#skF_1'),u1_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')))
| ~ v1_funct_2(k4_conlat_2('#skF_1'),u1_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')))
| ~ v1_funct_1(k4_conlat_2('#skF_1'))
| v1_xboole_0(u1_conlat_1('#skF_1')) ),
inference(superposition,[status(thm),theory(equality)],[c_28535,c_118]) ).
tff(c_28780,plain,
( m1_subset_1(k1_funct_1(k4_conlat_2('#skF_1'),'#skF_2'),u1_struct_0(k11_conlat_1('#skF_1')))
| ~ v1_funct_2(k4_conlat_2('#skF_1'),u1_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')))
| v1_xboole_0(u1_conlat_1('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_28049,c_28536,c_6,c_28776]) ).
tff(c_28781,plain,
( m1_subset_1(k1_funct_1(k4_conlat_2('#skF_1'),'#skF_2'),u1_struct_0(k11_conlat_1('#skF_1')))
| ~ v1_funct_2(k4_conlat_2('#skF_1'),u1_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1'))) ),
inference(negUnitSimplification,[status(thm)],[c_26811,c_28780]) ).
tff(c_29135,plain,
~ v1_funct_2(k4_conlat_2('#skF_1'),u1_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1'))),
inference(splitLeft,[status(thm)],[c_28781]) ).
tff(c_29138,plain,
( ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_104,c_29135]) ).
tff(c_29141,plain,
v3_conlat_1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_29138]) ).
tff(c_29143,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10,c_29141]) ).
tff(c_29144,plain,
m1_subset_1(k1_funct_1(k4_conlat_2('#skF_1'),'#skF_2'),u1_struct_0(k11_conlat_1('#skF_1'))),
inference(splitRight,[status(thm)],[c_28781]) ).
tff(c_20671,plain,
! [A_2296] :
( m2_relset_1(k5_conlat_2(A_2296),u2_conlat_1(A_2296),u1_struct_0(k11_conlat_1(A_2296)))
| ~ l2_conlat_1(A_2296)
| v3_conlat_1(A_2296) ),
inference(cnfTransformation,[status(thm)],[f_289]) ).
tff(c_20679,plain,
! [A_2296] :
( m1_relset_1(k5_conlat_2(A_2296),u2_conlat_1(A_2296),u1_struct_0(k11_conlat_1(A_2296)))
| ~ l2_conlat_1(A_2296)
| v3_conlat_1(A_2296) ),
inference(resolution,[status(thm)],[c_20671,c_426]) ).
tff(c_20238,plain,
! [C_2227,A_2228,B_2229] :
( m1_subset_1(C_2227,k1_zfmisc_1(k2_zfmisc_1(A_2228,B_2229)))
| ~ m2_relset_1(C_2227,A_2228,B_2229) ),
inference(cnfTransformation,[status(thm)],[f_361]) ).
tff(c_20839,plain,
! [A_2317,A_2318,B_2319,C_2320] :
( m1_subset_1(A_2317,k2_zfmisc_1(A_2318,B_2319))
| ~ r2_hidden(A_2317,C_2320)
| ~ m2_relset_1(C_2320,A_2318,B_2319) ),
inference(resolution,[status(thm)],[c_20238,c_440]) ).
tff(c_21278,plain,
! [A_2371,A_2372,B_2373,B_2374] :
( m1_subset_1(A_2371,k2_zfmisc_1(A_2372,B_2373))
| ~ m2_relset_1(B_2374,A_2372,B_2373)
| v1_xboole_0(B_2374)
| ~ m1_subset_1(A_2371,B_2374) ),
inference(resolution,[status(thm)],[c_434,c_20839]) ).
tff(c_21727,plain,
! [A_2409,A_2410,B_2411,C_2412] :
( m1_subset_1(A_2409,k2_zfmisc_1(A_2410,B_2411))
| v1_xboole_0(C_2412)
| ~ m1_subset_1(A_2409,C_2412)
| ~ m1_relset_1(C_2412,A_2410,B_2411) ),
inference(resolution,[status(thm)],[c_428,c_21278]) ).
tff(c_21790,plain,
! [A_2410,B_2411] :
( m1_subset_1('#skF_3',k2_zfmisc_1(A_2410,B_2411))
| v1_xboole_0(u2_conlat_1('#skF_1'))
| ~ m1_relset_1(u2_conlat_1('#skF_1'),A_2410,B_2411) ),
inference(resolution,[status(thm)],[c_4,c_21727]) ).
tff(c_21835,plain,
v1_xboole_0(u2_conlat_1('#skF_1')),
inference(splitLeft,[status(thm)],[c_21790]) ).
tff(c_21845,plain,
( ~ l1_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_21835,c_190]) ).
tff(c_21854,plain,
v3_conlat_1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_460,c_21845]) ).
tff(c_21856,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10,c_21854]) ).
tff(c_21858,plain,
~ v1_xboole_0(u2_conlat_1('#skF_1')),
inference(splitRight,[status(thm)],[c_21790]) ).
tff(c_23161,plain,
! [A_2570,B_2571,C_2572,D_2573] :
( ( k8_funct_2(A_2570,B_2571,C_2572,D_2573) = k1_funct_1(C_2572,D_2573) )
| ~ m1_subset_1(D_2573,A_2570)
| ~ m1_relset_1(C_2572,A_2570,B_2571)
| ~ v1_funct_2(C_2572,A_2570,B_2571)
| ~ v1_funct_1(C_2572)
| v1_xboole_0(A_2570) ),
inference(cnfTransformation,[status(thm)],[f_812]) ).
tff(c_23213,plain,
! [B_2571,C_2572] :
( ( k8_funct_2(u2_conlat_1('#skF_1'),B_2571,C_2572,'#skF_3') = k1_funct_1(C_2572,'#skF_3') )
| ~ m1_relset_1(C_2572,u2_conlat_1('#skF_1'),B_2571)
| ~ v1_funct_2(C_2572,u2_conlat_1('#skF_1'),B_2571)
| ~ v1_funct_1(C_2572)
| v1_xboole_0(u2_conlat_1('#skF_1')) ),
inference(resolution,[status(thm)],[c_4,c_23161]) ).
tff(c_23646,plain,
! [B_2596,C_2597] :
( ( k8_funct_2(u2_conlat_1('#skF_1'),B_2596,C_2597,'#skF_3') = k1_funct_1(C_2597,'#skF_3') )
| ~ m1_relset_1(C_2597,u2_conlat_1('#skF_1'),B_2596)
| ~ v1_funct_2(C_2597,u2_conlat_1('#skF_1'),B_2596)
| ~ v1_funct_1(C_2597) ),
inference(negUnitSimplification,[status(thm)],[c_21858,c_23213]) ).
tff(c_23650,plain,
( ( k8_funct_2(u2_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')),k5_conlat_2('#skF_1'),'#skF_3') = k1_funct_1(k5_conlat_2('#skF_1'),'#skF_3') )
| ~ m1_relset_1(k5_conlat_2('#skF_1'),u2_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')))
| ~ v1_funct_1(k5_conlat_2('#skF_1'))
| ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_110,c_23646]) ).
tff(c_23657,plain,
( ( k8_funct_2(u2_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')),k5_conlat_2('#skF_1'),'#skF_3') = k1_funct_1(k5_conlat_2('#skF_1'),'#skF_3') )
| ~ m1_relset_1(k5_conlat_2('#skF_1'),u2_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')))
| ~ v1_funct_1(k5_conlat_2('#skF_1'))
| v3_conlat_1('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_23650]) ).
tff(c_23658,plain,
( ( k8_funct_2(u2_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')),k5_conlat_2('#skF_1'),'#skF_3') = k1_funct_1(k5_conlat_2('#skF_1'),'#skF_3') )
| ~ m1_relset_1(k5_conlat_2('#skF_1'),u2_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')))
| ~ v1_funct_1(k5_conlat_2('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_10,c_23657]) ).
tff(c_23813,plain,
~ v1_funct_1(k5_conlat_2('#skF_1')),
inference(splitLeft,[status(thm)],[c_23658]) ).
tff(c_23816,plain,
( ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_112,c_23813]) ).
tff(c_23819,plain,
v3_conlat_1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_23816]) ).
tff(c_23821,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10,c_23819]) ).
tff(c_23822,plain,
( ~ m1_relset_1(k5_conlat_2('#skF_1'),u2_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')))
| ( k8_funct_2(u2_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')),k5_conlat_2('#skF_1'),'#skF_3') = k1_funct_1(k5_conlat_2('#skF_1'),'#skF_3') ) ),
inference(splitRight,[status(thm)],[c_23658]) ).
tff(c_23880,plain,
~ m1_relset_1(k5_conlat_2('#skF_1'),u2_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1'))),
inference(splitLeft,[status(thm)],[c_23822]) ).
tff(c_23896,plain,
( ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_20679,c_23880]) ).
tff(c_23899,plain,
v3_conlat_1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_23896]) ).
tff(c_23901,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10,c_23899]) ).
tff(c_23902,plain,
k8_funct_2(u2_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')),k5_conlat_2('#skF_1'),'#skF_3') = k1_funct_1(k5_conlat_2('#skF_1'),'#skF_3'),
inference(splitRight,[status(thm)],[c_23822]) ).
tff(c_13440,plain,
! [A_1599] :
( m2_relset_1(k4_conlat_2(A_1599),u1_conlat_1(A_1599),u1_struct_0(k11_conlat_1(A_1599)))
| ~ l2_conlat_1(A_1599)
| v3_conlat_1(A_1599) ),
inference(cnfTransformation,[status(thm)],[f_278]) ).
tff(c_13448,plain,
! [A_1599] :
( m1_relset_1(k4_conlat_2(A_1599),u1_conlat_1(A_1599),u1_struct_0(k11_conlat_1(A_1599)))
| ~ l2_conlat_1(A_1599)
| v3_conlat_1(A_1599) ),
inference(resolution,[status(thm)],[c_13440,c_426]) ).
tff(c_13009,plain,
! [C_1534,A_1535,B_1536] :
( m1_subset_1(C_1534,k1_zfmisc_1(k2_zfmisc_1(A_1535,B_1536)))
| ~ m2_relset_1(C_1534,A_1535,B_1536) ),
inference(cnfTransformation,[status(thm)],[f_361]) ).
tff(c_13533,plain,
! [A_1620,A_1621,B_1622,C_1623] :
( m1_subset_1(A_1620,k2_zfmisc_1(A_1621,B_1622))
| ~ r2_hidden(A_1620,C_1623)
| ~ m2_relset_1(C_1623,A_1621,B_1622) ),
inference(resolution,[status(thm)],[c_13009,c_440]) ).
tff(c_14065,plain,
! [A_1680,A_1681,B_1682,B_1683] :
( m1_subset_1(A_1680,k2_zfmisc_1(A_1681,B_1682))
| ~ m2_relset_1(B_1683,A_1681,B_1682)
| v1_xboole_0(B_1683)
| ~ m1_subset_1(A_1680,B_1683) ),
inference(resolution,[status(thm)],[c_434,c_13533]) ).
tff(c_14858,plain,
! [A_1757,A_1758,B_1759,C_1760] :
( m1_subset_1(A_1757,k2_zfmisc_1(A_1758,B_1759))
| v1_xboole_0(C_1760)
| ~ m1_subset_1(A_1757,C_1760)
| ~ m1_relset_1(C_1760,A_1758,B_1759) ),
inference(resolution,[status(thm)],[c_428,c_14065]) ).
tff(c_14920,plain,
! [A_1758,B_1759] :
( m1_subset_1('#skF_2',k2_zfmisc_1(A_1758,B_1759))
| v1_xboole_0(u1_conlat_1('#skF_1'))
| ~ m1_relset_1(u1_conlat_1('#skF_1'),A_1758,B_1759) ),
inference(resolution,[status(thm)],[c_6,c_14858]) ).
tff(c_14923,plain,
v1_xboole_0(u1_conlat_1('#skF_1')),
inference(splitLeft,[status(thm)],[c_14920]) ).
tff(c_14928,plain,
( ~ l1_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_14923,c_224]) ).
tff(c_14937,plain,
v3_conlat_1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_460,c_14928]) ).
tff(c_14939,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10,c_14937]) ).
tff(c_14941,plain,
~ v1_xboole_0(u1_conlat_1('#skF_1')),
inference(splitRight,[status(thm)],[c_14920]) ).
tff(c_16067,plain,
! [A_1897,B_1898,C_1899,D_1900] :
( ( k8_funct_2(A_1897,B_1898,C_1899,D_1900) = k1_funct_1(C_1899,D_1900) )
| ~ m1_subset_1(D_1900,A_1897)
| ~ m1_relset_1(C_1899,A_1897,B_1898)
| ~ v1_funct_2(C_1899,A_1897,B_1898)
| ~ v1_funct_1(C_1899)
| v1_xboole_0(A_1897) ),
inference(cnfTransformation,[status(thm)],[f_812]) ).
tff(c_16117,plain,
! [B_1898,C_1899] :
( ( k8_funct_2(u1_conlat_1('#skF_1'),B_1898,C_1899,'#skF_2') = k1_funct_1(C_1899,'#skF_2') )
| ~ m1_relset_1(C_1899,u1_conlat_1('#skF_1'),B_1898)
| ~ v1_funct_2(C_1899,u1_conlat_1('#skF_1'),B_1898)
| ~ v1_funct_1(C_1899)
| v1_xboole_0(u1_conlat_1('#skF_1')) ),
inference(resolution,[status(thm)],[c_6,c_16067]) ).
tff(c_17482,plain,
! [B_1977,C_1978] :
( ( k8_funct_2(u1_conlat_1('#skF_1'),B_1977,C_1978,'#skF_2') = k1_funct_1(C_1978,'#skF_2') )
| ~ m1_relset_1(C_1978,u1_conlat_1('#skF_1'),B_1977)
| ~ v1_funct_2(C_1978,u1_conlat_1('#skF_1'),B_1977)
| ~ v1_funct_1(C_1978) ),
inference(negUnitSimplification,[status(thm)],[c_14941,c_16117]) ).
tff(c_17486,plain,
( ( k8_funct_2(u1_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')),k4_conlat_2('#skF_1'),'#skF_2') = k1_funct_1(k4_conlat_2('#skF_1'),'#skF_2') )
| ~ m1_relset_1(k4_conlat_2('#skF_1'),u1_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')))
| ~ v1_funct_1(k4_conlat_2('#skF_1'))
| ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_104,c_17482]) ).
tff(c_17493,plain,
( ( k8_funct_2(u1_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')),k4_conlat_2('#skF_1'),'#skF_2') = k1_funct_1(k4_conlat_2('#skF_1'),'#skF_2') )
| ~ m1_relset_1(k4_conlat_2('#skF_1'),u1_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')))
| ~ v1_funct_1(k4_conlat_2('#skF_1'))
| v3_conlat_1('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_17486]) ).
tff(c_17494,plain,
( ( k8_funct_2(u1_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')),k4_conlat_2('#skF_1'),'#skF_2') = k1_funct_1(k4_conlat_2('#skF_1'),'#skF_2') )
| ~ m1_relset_1(k4_conlat_2('#skF_1'),u1_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')))
| ~ v1_funct_1(k4_conlat_2('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_10,c_17493]) ).
tff(c_17562,plain,
~ v1_funct_1(k4_conlat_2('#skF_1')),
inference(splitLeft,[status(thm)],[c_17494]) ).
tff(c_17565,plain,
( ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_106,c_17562]) ).
tff(c_17568,plain,
v3_conlat_1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_17565]) ).
tff(c_17570,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10,c_17568]) ).
tff(c_17571,plain,
( ~ m1_relset_1(k4_conlat_2('#skF_1'),u1_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')))
| ( k8_funct_2(u1_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')),k4_conlat_2('#skF_1'),'#skF_2') = k1_funct_1(k4_conlat_2('#skF_1'),'#skF_2') ) ),
inference(splitRight,[status(thm)],[c_17494]) ).
tff(c_17629,plain,
~ m1_relset_1(k4_conlat_2('#skF_1'),u1_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1'))),
inference(splitLeft,[status(thm)],[c_17571]) ).
tff(c_17632,plain,
( ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_13448,c_17629]) ).
tff(c_17635,plain,
v3_conlat_1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_17632]) ).
tff(c_17637,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10,c_17635]) ).
tff(c_17638,plain,
k8_funct_2(u1_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')),k4_conlat_2('#skF_1'),'#skF_2') = k1_funct_1(k4_conlat_2('#skF_1'),'#skF_2'),
inference(splitRight,[status(thm)],[c_17571]) ).
tff(c_5946,plain,
! [A_889] :
( m2_relset_1(k5_conlat_2(A_889),u2_conlat_1(A_889),u1_struct_0(k11_conlat_1(A_889)))
| ~ l2_conlat_1(A_889)
| v3_conlat_1(A_889) ),
inference(cnfTransformation,[status(thm)],[f_289]) ).
tff(c_5954,plain,
! [A_889] :
( m1_relset_1(k5_conlat_2(A_889),u2_conlat_1(A_889),u1_struct_0(k11_conlat_1(A_889)))
| ~ l2_conlat_1(A_889)
| v3_conlat_1(A_889) ),
inference(resolution,[status(thm)],[c_5946,c_426]) ).
tff(c_5692,plain,
! [C_836,A_837,B_838] :
( m1_subset_1(C_836,k1_zfmisc_1(k2_zfmisc_1(A_837,B_838)))
| ~ m2_relset_1(C_836,A_837,B_838) ),
inference(cnfTransformation,[status(thm)],[f_361]) ).
tff(c_6219,plain,
! [A_925,A_926,B_927,C_928] :
( m1_subset_1(A_925,k2_zfmisc_1(A_926,B_927))
| ~ r2_hidden(A_925,C_928)
| ~ m2_relset_1(C_928,A_926,B_927) ),
inference(resolution,[status(thm)],[c_5692,c_440]) ).
tff(c_6717,plain,
! [A_981,A_982,B_983,B_984] :
( m1_subset_1(A_981,k2_zfmisc_1(A_982,B_983))
| ~ m2_relset_1(B_984,A_982,B_983)
| v1_xboole_0(B_984)
| ~ m1_subset_1(A_981,B_984) ),
inference(resolution,[status(thm)],[c_434,c_6219]) ).
tff(c_7510,plain,
! [A_1058,A_1059,B_1060,C_1061] :
( m1_subset_1(A_1058,k2_zfmisc_1(A_1059,B_1060))
| v1_xboole_0(C_1061)
| ~ m1_subset_1(A_1058,C_1061)
| ~ m1_relset_1(C_1061,A_1059,B_1060) ),
inference(resolution,[status(thm)],[c_428,c_6717]) ).
tff(c_7573,plain,
! [A_1059,B_1060] :
( m1_subset_1('#skF_3',k2_zfmisc_1(A_1059,B_1060))
| v1_xboole_0(u2_conlat_1('#skF_1'))
| ~ m1_relset_1(u2_conlat_1('#skF_1'),A_1059,B_1060) ),
inference(resolution,[status(thm)],[c_4,c_7510]) ).
tff(c_7618,plain,
v1_xboole_0(u2_conlat_1('#skF_1')),
inference(splitLeft,[status(thm)],[c_7573]) ).
tff(c_7628,plain,
( ~ l1_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_7618,c_190]) ).
tff(c_7637,plain,
v3_conlat_1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_460,c_7628]) ).
tff(c_7639,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10,c_7637]) ).
tff(c_7641,plain,
~ v1_xboole_0(u2_conlat_1('#skF_1')),
inference(splitRight,[status(thm)],[c_7573]) ).
tff(c_8783,plain,
! [A_1198,B_1199,C_1200,D_1201] :
( ( k8_funct_2(A_1198,B_1199,C_1200,D_1201) = k1_funct_1(C_1200,D_1201) )
| ~ m1_subset_1(D_1201,A_1198)
| ~ m1_relset_1(C_1200,A_1198,B_1199)
| ~ v1_funct_2(C_1200,A_1198,B_1199)
| ~ v1_funct_1(C_1200)
| v1_xboole_0(A_1198) ),
inference(cnfTransformation,[status(thm)],[f_812]) ).
tff(c_8837,plain,
! [B_1199,C_1200] :
( ( k8_funct_2(u2_conlat_1('#skF_1'),B_1199,C_1200,'#skF_3') = k1_funct_1(C_1200,'#skF_3') )
| ~ m1_relset_1(C_1200,u2_conlat_1('#skF_1'),B_1199)
| ~ v1_funct_2(C_1200,u2_conlat_1('#skF_1'),B_1199)
| ~ v1_funct_1(C_1200)
| v1_xboole_0(u2_conlat_1('#skF_1')) ),
inference(resolution,[status(thm)],[c_4,c_8783]) ).
tff(c_10134,plain,
! [B_1278,C_1279] :
( ( k8_funct_2(u2_conlat_1('#skF_1'),B_1278,C_1279,'#skF_3') = k1_funct_1(C_1279,'#skF_3') )
| ~ m1_relset_1(C_1279,u2_conlat_1('#skF_1'),B_1278)
| ~ v1_funct_2(C_1279,u2_conlat_1('#skF_1'),B_1278)
| ~ v1_funct_1(C_1279) ),
inference(negUnitSimplification,[status(thm)],[c_7641,c_8837]) ).
tff(c_10138,plain,
( ( k8_funct_2(u2_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')),k5_conlat_2('#skF_1'),'#skF_3') = k1_funct_1(k5_conlat_2('#skF_1'),'#skF_3') )
| ~ m1_relset_1(k5_conlat_2('#skF_1'),u2_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')))
| ~ v1_funct_1(k5_conlat_2('#skF_1'))
| ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_110,c_10134]) ).
tff(c_10145,plain,
( ( k8_funct_2(u2_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')),k5_conlat_2('#skF_1'),'#skF_3') = k1_funct_1(k5_conlat_2('#skF_1'),'#skF_3') )
| ~ m1_relset_1(k5_conlat_2('#skF_1'),u2_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')))
| ~ v1_funct_1(k5_conlat_2('#skF_1'))
| v3_conlat_1('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_10138]) ).
tff(c_10146,plain,
( ( k8_funct_2(u2_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')),k5_conlat_2('#skF_1'),'#skF_3') = k1_funct_1(k5_conlat_2('#skF_1'),'#skF_3') )
| ~ m1_relset_1(k5_conlat_2('#skF_1'),u2_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')))
| ~ v1_funct_1(k5_conlat_2('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_10,c_10145]) ).
tff(c_10209,plain,
~ v1_funct_1(k5_conlat_2('#skF_1')),
inference(splitLeft,[status(thm)],[c_10146]) ).
tff(c_10212,plain,
( ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_112,c_10209]) ).
tff(c_10215,plain,
v3_conlat_1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_10212]) ).
tff(c_10217,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10,c_10215]) ).
tff(c_10218,plain,
( ~ m1_relset_1(k5_conlat_2('#skF_1'),u2_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')))
| ( k8_funct_2(u2_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')),k5_conlat_2('#skF_1'),'#skF_3') = k1_funct_1(k5_conlat_2('#skF_1'),'#skF_3') ) ),
inference(splitRight,[status(thm)],[c_10146]) ).
tff(c_10281,plain,
~ m1_relset_1(k5_conlat_2('#skF_1'),u2_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1'))),
inference(splitLeft,[status(thm)],[c_10218]) ).
tff(c_10284,plain,
( ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_5954,c_10281]) ).
tff(c_10287,plain,
v3_conlat_1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_10284]) ).
tff(c_10289,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10,c_10287]) ).
tff(c_10290,plain,
k8_funct_2(u2_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')),k5_conlat_2('#skF_1'),'#skF_3') = k1_funct_1(k5_conlat_2('#skF_1'),'#skF_3'),
inference(splitRight,[status(thm)],[c_10218]) ).
tff(c_1172,plain,
! [A_350] :
( m2_relset_1(k4_conlat_2(A_350),u1_conlat_1(A_350),u1_struct_0(k11_conlat_1(A_350)))
| ~ l2_conlat_1(A_350)
| v3_conlat_1(A_350) ),
inference(cnfTransformation,[status(thm)],[f_278]) ).
tff(c_1180,plain,
! [A_350] :
( m1_relset_1(k4_conlat_2(A_350),u1_conlat_1(A_350),u1_struct_0(k11_conlat_1(A_350)))
| ~ l2_conlat_1(A_350)
| v3_conlat_1(A_350) ),
inference(resolution,[status(thm)],[c_1172,c_426]) ).
tff(c_957,plain,
! [C_300,A_301,B_302] :
( m1_subset_1(C_300,k1_zfmisc_1(k2_zfmisc_1(A_301,B_302)))
| ~ m2_relset_1(C_300,A_301,B_302) ),
inference(cnfTransformation,[status(thm)],[f_361]) ).
tff(c_1446,plain,
! [A_381,A_382,B_383,C_384] :
( m1_subset_1(A_381,k2_zfmisc_1(A_382,B_383))
| ~ r2_hidden(A_381,C_384)
| ~ m2_relset_1(C_384,A_382,B_383) ),
inference(resolution,[status(thm)],[c_957,c_440]) ).
tff(c_2036,plain,
! [A_448,A_449,B_450,B_451] :
( m1_subset_1(A_448,k2_zfmisc_1(A_449,B_450))
| ~ m2_relset_1(B_451,A_449,B_450)
| v1_xboole_0(B_451)
| ~ m1_subset_1(A_448,B_451) ),
inference(resolution,[status(thm)],[c_434,c_1446]) ).
tff(c_2161,plain,
! [A_461,A_462,B_463,C_464] :
( m1_subset_1(A_461,k2_zfmisc_1(A_462,B_463))
| v1_xboole_0(C_464)
| ~ m1_subset_1(A_461,C_464)
| ~ m1_relset_1(C_464,A_462,B_463) ),
inference(resolution,[status(thm)],[c_428,c_2036]) ).
tff(c_2228,plain,
! [A_462,B_463] :
( m1_subset_1('#skF_2',k2_zfmisc_1(A_462,B_463))
| v1_xboole_0(u1_conlat_1('#skF_1'))
| ~ m1_relset_1(u1_conlat_1('#skF_1'),A_462,B_463) ),
inference(resolution,[status(thm)],[c_6,c_2161]) ).
tff(c_2278,plain,
v1_xboole_0(u1_conlat_1('#skF_1')),
inference(splitLeft,[status(thm)],[c_2228]) ).
tff(c_2283,plain,
( ~ l1_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_2278,c_224]) ).
tff(c_2292,plain,
v3_conlat_1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_460,c_2283]) ).
tff(c_2294,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10,c_2292]) ).
tff(c_2296,plain,
~ v1_xboole_0(u1_conlat_1('#skF_1')),
inference(splitRight,[status(thm)],[c_2228]) ).
tff(c_2901,plain,
! [A_539,B_540,C_541,D_542] :
( ( k8_funct_2(A_539,B_540,C_541,D_542) = k1_funct_1(C_541,D_542) )
| ~ m1_subset_1(D_542,A_539)
| ~ m1_relset_1(C_541,A_539,B_540)
| ~ v1_funct_2(C_541,A_539,B_540)
| ~ v1_funct_1(C_541)
| v1_xboole_0(A_539) ),
inference(cnfTransformation,[status(thm)],[f_812]) ).
tff(c_2947,plain,
! [B_540,C_541] :
( ( k8_funct_2(u1_conlat_1('#skF_1'),B_540,C_541,'#skF_2') = k1_funct_1(C_541,'#skF_2') )
| ~ m1_relset_1(C_541,u1_conlat_1('#skF_1'),B_540)
| ~ v1_funct_2(C_541,u1_conlat_1('#skF_1'),B_540)
| ~ v1_funct_1(C_541)
| v1_xboole_0(u1_conlat_1('#skF_1')) ),
inference(resolution,[status(thm)],[c_6,c_2901]) ).
tff(c_3464,plain,
! [B_573,C_574] :
( ( k8_funct_2(u1_conlat_1('#skF_1'),B_573,C_574,'#skF_2') = k1_funct_1(C_574,'#skF_2') )
| ~ m1_relset_1(C_574,u1_conlat_1('#skF_1'),B_573)
| ~ v1_funct_2(C_574,u1_conlat_1('#skF_1'),B_573)
| ~ v1_funct_1(C_574) ),
inference(negUnitSimplification,[status(thm)],[c_2296,c_2947]) ).
tff(c_3468,plain,
( ( k8_funct_2(u1_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')),k4_conlat_2('#skF_1'),'#skF_2') = k1_funct_1(k4_conlat_2('#skF_1'),'#skF_2') )
| ~ m1_relset_1(k4_conlat_2('#skF_1'),u1_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')))
| ~ v1_funct_1(k4_conlat_2('#skF_1'))
| ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_104,c_3464]) ).
tff(c_3475,plain,
( ( k8_funct_2(u1_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')),k4_conlat_2('#skF_1'),'#skF_2') = k1_funct_1(k4_conlat_2('#skF_1'),'#skF_2') )
| ~ m1_relset_1(k4_conlat_2('#skF_1'),u1_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')))
| ~ v1_funct_1(k4_conlat_2('#skF_1'))
| v3_conlat_1('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_3468]) ).
tff(c_3476,plain,
( ( k8_funct_2(u1_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')),k4_conlat_2('#skF_1'),'#skF_2') = k1_funct_1(k4_conlat_2('#skF_1'),'#skF_2') )
| ~ m1_relset_1(k4_conlat_2('#skF_1'),u1_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')))
| ~ v1_funct_1(k4_conlat_2('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_10,c_3475]) ).
tff(c_3754,plain,
~ v1_funct_1(k4_conlat_2('#skF_1')),
inference(splitLeft,[status(thm)],[c_3476]) ).
tff(c_3757,plain,
( ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_106,c_3754]) ).
tff(c_3760,plain,
v3_conlat_1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_3757]) ).
tff(c_3762,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10,c_3760]) ).
tff(c_3763,plain,
( ~ m1_relset_1(k4_conlat_2('#skF_1'),u1_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')))
| ( k8_funct_2(u1_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')),k4_conlat_2('#skF_1'),'#skF_2') = k1_funct_1(k4_conlat_2('#skF_1'),'#skF_2') ) ),
inference(splitRight,[status(thm)],[c_3476]) ).
tff(c_3850,plain,
~ m1_relset_1(k4_conlat_2('#skF_1'),u1_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1'))),
inference(splitLeft,[status(thm)],[c_3763]) ).
tff(c_3876,plain,
( ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_1180,c_3850]) ).
tff(c_3879,plain,
v3_conlat_1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_3876]) ).
tff(c_3881,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10,c_3879]) ).
tff(c_3882,plain,
k8_funct_2(u1_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')),k4_conlat_2('#skF_1'),'#skF_2') = k1_funct_1(k4_conlat_2('#skF_1'),'#skF_2'),
inference(splitRight,[status(thm)],[c_3763]) ).
tff(c_2,plain,
( ~ l3_conlat_1(k8_funct_2(u2_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')),k5_conlat_2('#skF_1'),'#skF_3'),'#skF_1')
| ~ v9_conlat_1(k8_funct_2(u2_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')),k5_conlat_2('#skF_1'),'#skF_3'),'#skF_1')
| v7_conlat_1(k8_funct_2(u2_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')),k5_conlat_2('#skF_1'),'#skF_3'),'#skF_1')
| ~ l3_conlat_1(k8_funct_2(u1_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')),k4_conlat_2('#skF_1'),'#skF_2'),'#skF_1')
| ~ v9_conlat_1(k8_funct_2(u1_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')),k4_conlat_2('#skF_1'),'#skF_2'),'#skF_1')
| v7_conlat_1(k8_funct_2(u1_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')),k4_conlat_2('#skF_1'),'#skF_2'),'#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_461,plain,
~ v9_conlat_1(k8_funct_2(u1_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')),k4_conlat_2('#skF_1'),'#skF_2'),'#skF_1'),
inference(splitLeft,[status(thm)],[c_2]) ).
tff(c_4046,plain,
~ v9_conlat_1(k1_funct_1(k4_conlat_2('#skF_1'),'#skF_2'),'#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_3882,c_461]) ).
tff(c_756,plain,
! [A_256] :
( ( k8_conlat_1(A_256) = k7_conlat_1(A_256) )
| ~ l2_conlat_1(A_256)
| v3_conlat_1(A_256) ),
inference(cnfTransformation,[status(thm)],[f_799]) ).
tff(c_759,plain,
( ( k8_conlat_1('#skF_1') = k7_conlat_1('#skF_1') )
| ~ l2_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_756,c_10]) ).
tff(c_762,plain,
k8_conlat_1('#skF_1') = k7_conlat_1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_759]) ).
tff(c_766,plain,
( m1_conlat_1(k7_conlat_1('#skF_1'),'#skF_1')
| ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_762,c_116]) ).
tff(c_770,plain,
( m1_conlat_1(k7_conlat_1('#skF_1'),'#skF_1')
| v3_conlat_1('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_766]) ).
tff(c_771,plain,
m1_conlat_1(k7_conlat_1('#skF_1'),'#skF_1'),
inference(negUnitSimplification,[status(thm)],[c_10,c_770]) ).
tff(c_849,plain,
! [B_279,A_280] :
( ~ v1_xboole_0(B_279)
| ~ m1_conlat_1(B_279,A_280)
| ~ l2_conlat_1(A_280)
| v3_conlat_1(A_280) ),
inference(cnfTransformation,[status(thm)],[f_357]) ).
tff(c_852,plain,
( ~ v1_xboole_0(k7_conlat_1('#skF_1'))
| ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_771,c_849]) ).
tff(c_861,plain,
( ~ v1_xboole_0(k7_conlat_1('#skF_1'))
| v3_conlat_1('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_852]) ).
tff(c_862,plain,
~ v1_xboole_0(k7_conlat_1('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_10,c_861]) ).
tff(c_813,plain,
! [C_266,B_267,A_268] :
( ~ v1_xboole_0(C_266)
| ~ m1_subset_1(B_267,k1_zfmisc_1(C_266))
| ~ r2_hidden(A_268,B_267) ),
inference(cnfTransformation,[status(thm)],[f_845]) ).
tff(c_835,plain,
! [C_270,A_271] :
( ~ v1_xboole_0(C_270)
| ~ r2_hidden(A_271,'#skF_14'(k1_zfmisc_1(C_270))) ),
inference(resolution,[status(thm)],[c_186,c_813]) ).
tff(c_1167,plain,
! [C_348,A_349] :
( ~ v1_xboole_0(C_348)
| v1_xboole_0('#skF_14'(k1_zfmisc_1(C_348)))
| ~ m1_subset_1(A_349,'#skF_14'(k1_zfmisc_1(C_348))) ),
inference(resolution,[status(thm)],[c_434,c_835]) ).
tff(c_1171,plain,
! [C_348] :
( ~ v1_xboole_0(C_348)
| v1_xboole_0('#skF_14'(k1_zfmisc_1(C_348))) ),
inference(resolution,[status(thm)],[c_186,c_1167]) ).
tff(c_1181,plain,
! [C_351] :
( ~ v1_xboole_0(C_351)
| v1_xboole_0('#skF_14'(k1_zfmisc_1(C_351))) ),
inference(resolution,[status(thm)],[c_186,c_1167]) ).
tff(c_1225,plain,
! [A_354,C_355] :
( ( A_354 = '#skF_14'(k1_zfmisc_1(C_355)) )
| ~ v1_xboole_0(A_354)
| ~ v1_xboole_0(C_355) ),
inference(resolution,[status(thm)],[c_1181,c_448]) ).
tff(c_1232,plain,
! [C_357,C_356] :
( ( '#skF_14'(k1_zfmisc_1(C_357)) = '#skF_14'(k1_zfmisc_1(C_356)) )
| ~ v1_xboole_0(C_356)
| ~ v1_xboole_0(C_357) ),
inference(resolution,[status(thm)],[c_1171,c_1225]) ).
tff(c_709,plain,
! [C_245,A_246,B_247] :
( v1_relat_1(C_245)
| ~ m1_subset_1(C_245,k1_zfmisc_1(k2_zfmisc_1(A_246,B_247))) ),
inference(cnfTransformation,[status(thm)],[f_102]) ).
tff(c_729,plain,
! [A_246,B_247] : v1_relat_1('#skF_14'(k1_zfmisc_1(k2_zfmisc_1(A_246,B_247)))),
inference(resolution,[status(thm)],[c_186,c_709]) ).
tff(c_1277,plain,
! [C_357,A_246,B_247] :
( v1_relat_1('#skF_14'(k1_zfmisc_1(C_357)))
| ~ v1_xboole_0(k2_zfmisc_1(A_246,B_247))
| ~ v1_xboole_0(C_357) ),
inference(superposition,[status(thm),theory(equality)],[c_1232,c_729]) ).
tff(c_1385,plain,
! [A_246,B_247] : ~ v1_xboole_0(k2_zfmisc_1(A_246,B_247)),
inference(splitLeft,[status(thm)],[c_1277]) ).
tff(c_1487,plain,
! [A_390] :
( m2_relset_1(k10_conlat_1(A_390),k2_zfmisc_1(k8_conlat_1(A_390),k8_conlat_1(A_390)),k8_conlat_1(A_390))
| ~ l2_conlat_1(A_390)
| v3_conlat_1(A_390) ),
inference(cnfTransformation,[status(thm)],[f_254]) ).
tff(c_1496,plain,
( m2_relset_1(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k8_conlat_1('#skF_1')),k8_conlat_1('#skF_1'))
| ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_762,c_1487]) ).
tff(c_1506,plain,
( m2_relset_1(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| v3_conlat_1('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_762,c_762,c_1496]) ).
tff(c_1507,plain,
m2_relset_1(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_10,c_1506]) ).
tff(c_1522,plain,
m1_relset_1(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1')),
inference(resolution,[status(thm)],[c_1507,c_426]) ).
tff(c_1692,plain,
! [A_404] :
( v1_funct_2(k10_conlat_1(A_404),k2_zfmisc_1(k8_conlat_1(A_404),k8_conlat_1(A_404)),k8_conlat_1(A_404))
| ~ l2_conlat_1(A_404)
| v3_conlat_1(A_404) ),
inference(cnfTransformation,[status(thm)],[f_254]) ).
tff(c_1695,plain,
( v1_funct_2(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k8_conlat_1('#skF_1')),k8_conlat_1('#skF_1'))
| ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_762,c_1692]) ).
tff(c_1703,plain,
( v1_funct_2(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| v3_conlat_1('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_762,c_762,c_1695]) ).
tff(c_1704,plain,
v1_funct_2(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_10,c_1703]) ).
tff(c_1932,plain,
! [C_439,A_440,B_441] :
( ~ v1_xboole_0(C_439)
| ~ v1_funct_2(C_439,A_440,B_441)
| ~ v1_funct_1(C_439)
| ~ m1_relset_1(C_439,A_440,B_441)
| v1_xboole_0(B_441)
| v1_xboole_0(A_440) ),
inference(cnfTransformation,[status(thm)],[f_199]) ).
tff(c_1935,plain,
( ~ v1_xboole_0(k10_conlat_1('#skF_1'))
| ~ v1_funct_1(k10_conlat_1('#skF_1'))
| ~ m1_relset_1(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| v1_xboole_0(k7_conlat_1('#skF_1'))
| v1_xboole_0(k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1'))) ),
inference(resolution,[status(thm)],[c_1704,c_1932]) ).
tff(c_1962,plain,
( ~ v1_xboole_0(k10_conlat_1('#skF_1'))
| ~ v1_funct_1(k10_conlat_1('#skF_1'))
| v1_xboole_0(k7_conlat_1('#skF_1'))
| v1_xboole_0(k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1'))) ),
inference(demodulation,[status(thm),theory(equality)],[c_1522,c_1935]) ).
tff(c_1963,plain,
( ~ v1_xboole_0(k10_conlat_1('#skF_1'))
| ~ v1_funct_1(k10_conlat_1('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_1385,c_862,c_1962]) ).
tff(c_1985,plain,
~ v1_funct_1(k10_conlat_1('#skF_1')),
inference(splitLeft,[status(thm)],[c_1963]) ).
tff(c_1988,plain,
( ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_86,c_1985]) ).
tff(c_1991,plain,
v3_conlat_1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_1988]) ).
tff(c_1993,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10,c_1991]) ).
tff(c_1995,plain,
v1_funct_1(k10_conlat_1('#skF_1')),
inference(splitRight,[status(thm)],[c_1963]) ).
tff(c_1525,plain,
! [A_392] :
( m2_relset_1(k9_conlat_1(A_392),k2_zfmisc_1(k8_conlat_1(A_392),k8_conlat_1(A_392)),k8_conlat_1(A_392))
| ~ l2_conlat_1(A_392)
| v3_conlat_1(A_392) ),
inference(cnfTransformation,[status(thm)],[f_328]) ).
tff(c_1534,plain,
( m2_relset_1(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k8_conlat_1('#skF_1')),k8_conlat_1('#skF_1'))
| ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_762,c_1525]) ).
tff(c_1544,plain,
( m2_relset_1(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| v3_conlat_1('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_762,c_762,c_1534]) ).
tff(c_1545,plain,
m2_relset_1(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_10,c_1544]) ).
tff(c_1560,plain,
m1_relset_1(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1')),
inference(resolution,[status(thm)],[c_1545,c_426]) ).
tff(c_1466,plain,
! [A_389] :
( v1_funct_2(k9_conlat_1(A_389),k2_zfmisc_1(k8_conlat_1(A_389),k8_conlat_1(A_389)),k8_conlat_1(A_389))
| ~ l2_conlat_1(A_389)
| v3_conlat_1(A_389) ),
inference(cnfTransformation,[status(thm)],[f_328]) ).
tff(c_1469,plain,
( v1_funct_2(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k8_conlat_1('#skF_1')),k8_conlat_1('#skF_1'))
| ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_762,c_1466]) ).
tff(c_1477,plain,
( v1_funct_2(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| v3_conlat_1('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_762,c_762,c_1469]) ).
tff(c_1478,plain,
v1_funct_2(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_10,c_1477]) ).
tff(c_1941,plain,
( ~ v1_xboole_0(k9_conlat_1('#skF_1'))
| ~ v1_funct_1(k9_conlat_1('#skF_1'))
| ~ m1_relset_1(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| v1_xboole_0(k7_conlat_1('#skF_1'))
| v1_xboole_0(k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1'))) ),
inference(resolution,[status(thm)],[c_1478,c_1932]) ).
tff(c_1969,plain,
( ~ v1_xboole_0(k9_conlat_1('#skF_1'))
| ~ v1_funct_1(k9_conlat_1('#skF_1'))
| v1_xboole_0(k7_conlat_1('#skF_1'))
| v1_xboole_0(k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1'))) ),
inference(demodulation,[status(thm),theory(equality)],[c_1560,c_1941]) ).
tff(c_1970,plain,
( ~ v1_xboole_0(k9_conlat_1('#skF_1'))
| ~ v1_funct_1(k9_conlat_1('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_1385,c_862,c_1969]) ).
tff(c_1996,plain,
~ v1_funct_1(k9_conlat_1('#skF_1')),
inference(splitLeft,[status(thm)],[c_1970]) ).
tff(c_1999,plain,
( ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_124,c_1996]) ).
tff(c_2002,plain,
v3_conlat_1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_1999]) ).
tff(c_2004,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10,c_2002]) ).
tff(c_2006,plain,
v1_funct_1(k9_conlat_1('#skF_1')),
inference(splitRight,[status(thm)],[c_1970]) ).
tff(c_1427,plain,
! [A_380] :
( ( g3_lattices(k8_conlat_1(A_380),k10_conlat_1(A_380),k9_conlat_1(A_380)) = k11_conlat_1(A_380) )
| ~ l2_conlat_1(A_380)
| v3_conlat_1(A_380) ),
inference(cnfTransformation,[status(thm)],[f_227]) ).
tff(c_1436,plain,
( ( g3_lattices(k7_conlat_1('#skF_1'),k10_conlat_1('#skF_1'),k9_conlat_1('#skF_1')) = k11_conlat_1('#skF_1') )
| ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_762,c_1427]) ).
tff(c_1440,plain,
( ( g3_lattices(k7_conlat_1('#skF_1'),k10_conlat_1('#skF_1'),k9_conlat_1('#skF_1')) = k11_conlat_1('#skF_1') )
| v3_conlat_1('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_1436]) ).
tff(c_1441,plain,
g3_lattices(k7_conlat_1('#skF_1'),k10_conlat_1('#skF_1'),k9_conlat_1('#skF_1')) = k11_conlat_1('#skF_1'),
inference(negUnitSimplification,[status(thm)],[c_10,c_1440]) ).
tff(c_3585,plain,
! [A_578,B_579,C_580] :
( ~ v3_struct_0(g3_lattices(A_578,B_579,C_580))
| ~ m1_relset_1(C_580,k2_zfmisc_1(A_578,A_578),A_578)
| ~ v1_funct_2(C_580,k2_zfmisc_1(A_578,A_578),A_578)
| ~ v1_funct_1(C_580)
| ~ m1_relset_1(B_579,k2_zfmisc_1(A_578,A_578),A_578)
| ~ v1_funct_2(B_579,k2_zfmisc_1(A_578,A_578),A_578)
| ~ v1_funct_1(B_579)
| v1_xboole_0(A_578) ),
inference(cnfTransformation,[status(thm)],[f_533]) ).
tff(c_3587,plain,
( ~ v3_struct_0(k11_conlat_1('#skF_1'))
| ~ m1_relset_1(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_2(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_1(k9_conlat_1('#skF_1'))
| ~ m1_relset_1(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_2(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_1(k10_conlat_1('#skF_1'))
| v1_xboole_0(k7_conlat_1('#skF_1')) ),
inference(superposition,[status(thm),theory(equality)],[c_1441,c_3585]) ).
tff(c_3602,plain,
( ~ v3_struct_0(k11_conlat_1('#skF_1'))
| v1_xboole_0(k7_conlat_1('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_1995,c_1704,c_1522,c_2006,c_1478,c_1560,c_3587]) ).
tff(c_3603,plain,
~ v3_struct_0(k11_conlat_1('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_862,c_3602]) ).
tff(c_3617,plain,
( v14_lattices(k11_conlat_1('#skF_1'))
| ~ v15_lattices(k11_conlat_1('#skF_1'))
| ~ l3_lattices(k11_conlat_1('#skF_1')) ),
inference(resolution,[status(thm)],[c_46,c_3603]) ).
tff(c_3634,plain,
~ l3_lattices(k11_conlat_1('#skF_1')),
inference(splitLeft,[status(thm)],[c_3617]) ).
tff(c_3648,plain,
( ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_88,c_3634]) ).
tff(c_3651,plain,
v3_conlat_1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_3648]) ).
tff(c_3653,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10,c_3651]) ).
tff(c_3655,plain,
l3_lattices(k11_conlat_1('#skF_1')),
inference(splitRight,[status(thm)],[c_3617]) ).
tff(c_3355,plain,
! [A_569,B_570,C_571] :
( v3_lattices(g3_lattices(A_569,B_570,C_571))
| ~ m1_relset_1(C_571,k2_zfmisc_1(A_569,A_569),A_569)
| ~ v1_funct_2(C_571,k2_zfmisc_1(A_569,A_569),A_569)
| ~ v1_funct_1(C_571)
| ~ m1_relset_1(B_570,k2_zfmisc_1(A_569,A_569),A_569)
| ~ v1_funct_2(B_570,k2_zfmisc_1(A_569,A_569),A_569)
| ~ v1_funct_1(B_570) ),
inference(cnfTransformation,[status(thm)],[f_243]) ).
tff(c_3361,plain,
! [B_570] :
( v3_lattices(g3_lattices(k7_conlat_1('#skF_1'),B_570,k9_conlat_1('#skF_1')))
| ~ m1_relset_1(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_1(k9_conlat_1('#skF_1'))
| ~ m1_relset_1(B_570,k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_2(B_570,k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_1(B_570) ),
inference(resolution,[status(thm)],[c_1478,c_3355]) ).
tff(c_4730,plain,
! [B_688] :
( v3_lattices(g3_lattices(k7_conlat_1('#skF_1'),B_688,k9_conlat_1('#skF_1')))
| ~ m1_relset_1(B_688,k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_2(B_688,k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_1(B_688) ),
inference(demodulation,[status(thm),theory(equality)],[c_2006,c_1560,c_3361]) ).
tff(c_4733,plain,
( v3_lattices(g3_lattices(k7_conlat_1('#skF_1'),k10_conlat_1('#skF_1'),k9_conlat_1('#skF_1')))
| ~ m1_relset_1(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_1(k10_conlat_1('#skF_1')) ),
inference(resolution,[status(thm)],[c_1704,c_4730]) ).
tff(c_4743,plain,
v3_lattices(k11_conlat_1('#skF_1')),
inference(demodulation,[status(thm),theory(equality)],[c_1995,c_1522,c_1441,c_4733]) ).
tff(c_3668,plain,
! [E_587,D_583,C_582,A_585,F_584,B_586] :
( ( D_583 = A_585 )
| ( g3_lattices(D_583,E_587,F_584) != g3_lattices(A_585,B_586,C_582) )
| ~ m1_relset_1(C_582,k2_zfmisc_1(A_585,A_585),A_585)
| ~ v1_funct_2(C_582,k2_zfmisc_1(A_585,A_585),A_585)
| ~ v1_funct_1(C_582)
| ~ m1_relset_1(B_586,k2_zfmisc_1(A_585,A_585),A_585)
| ~ v1_funct_2(B_586,k2_zfmisc_1(A_585,A_585),A_585)
| ~ v1_funct_1(B_586) ),
inference(cnfTransformation,[status(thm)],[f_647]) ).
tff(c_3672,plain,
! [D_583,E_587,F_584] :
( ( k7_conlat_1('#skF_1') = D_583 )
| ( g3_lattices(D_583,E_587,F_584) != k11_conlat_1('#skF_1') )
| ~ m1_relset_1(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_2(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_1(k9_conlat_1('#skF_1'))
| ~ m1_relset_1(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_2(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_1(k10_conlat_1('#skF_1')) ),
inference(superposition,[status(thm),theory(equality)],[c_1441,c_3668]) ).
tff(c_3728,plain,
! [D_594,E_595,F_596] :
( ( k7_conlat_1('#skF_1') = D_594 )
| ( g3_lattices(D_594,E_595,F_596) != k11_conlat_1('#skF_1') ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1995,c_1704,c_1522,c_2006,c_1478,c_1560,c_3672]) ).
tff(c_3737,plain,
! [A_5] :
( ( u1_struct_0(A_5) = k7_conlat_1('#skF_1') )
| ( k11_conlat_1('#skF_1') != A_5 )
| ~ v3_lattices(A_5)
| ~ l3_lattices(A_5) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_3728]) ).
tff(c_4755,plain,
( ( u1_struct_0(k11_conlat_1('#skF_1')) = k7_conlat_1('#skF_1') )
| ~ l3_lattices(k11_conlat_1('#skF_1')) ),
inference(resolution,[status(thm)],[c_4743,c_3737]) ).
tff(c_4764,plain,
u1_struct_0(k11_conlat_1('#skF_1')) = k7_conlat_1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_3655,c_4755]) ).
tff(c_3764,plain,
v1_funct_1(k4_conlat_2('#skF_1')),
inference(splitRight,[status(thm)],[c_3476]) ).
tff(c_3883,plain,
m1_relset_1(k4_conlat_2('#skF_1'),u1_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1'))),
inference(splitRight,[status(thm)],[c_3763]) ).
tff(c_4050,plain,
( m1_subset_1(k1_funct_1(k4_conlat_2('#skF_1'),'#skF_2'),u1_struct_0(k11_conlat_1('#skF_1')))
| ~ m1_subset_1('#skF_2',u1_conlat_1('#skF_1'))
| ~ m1_relset_1(k4_conlat_2('#skF_1'),u1_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')))
| ~ v1_funct_2(k4_conlat_2('#skF_1'),u1_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')))
| ~ v1_funct_1(k4_conlat_2('#skF_1'))
| v1_xboole_0(u1_conlat_1('#skF_1')) ),
inference(superposition,[status(thm),theory(equality)],[c_3882,c_118]) ).
tff(c_4054,plain,
( m1_subset_1(k1_funct_1(k4_conlat_2('#skF_1'),'#skF_2'),u1_struct_0(k11_conlat_1('#skF_1')))
| ~ v1_funct_2(k4_conlat_2('#skF_1'),u1_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')))
| v1_xboole_0(u1_conlat_1('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_3764,c_3883,c_6,c_4050]) ).
tff(c_4055,plain,
( m1_subset_1(k1_funct_1(k4_conlat_2('#skF_1'),'#skF_2'),u1_struct_0(k11_conlat_1('#skF_1')))
| ~ v1_funct_2(k4_conlat_2('#skF_1'),u1_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1'))) ),
inference(negUnitSimplification,[status(thm)],[c_2296,c_4054]) ).
tff(c_4368,plain,
~ v1_funct_2(k4_conlat_2('#skF_1'),u1_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1'))),
inference(splitLeft,[status(thm)],[c_4055]) ).
tff(c_4380,plain,
( ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_104,c_4368]) ).
tff(c_4383,plain,
v3_conlat_1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_4380]) ).
tff(c_4385,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10,c_4383]) ).
tff(c_4386,plain,
m1_subset_1(k1_funct_1(k4_conlat_2('#skF_1'),'#skF_2'),u1_struct_0(k11_conlat_1('#skF_1'))),
inference(splitRight,[status(thm)],[c_4055]) ).
tff(c_4842,plain,
m1_subset_1(k1_funct_1(k4_conlat_2('#skF_1'),'#skF_2'),k7_conlat_1('#skF_1')),
inference(demodulation,[status(thm),theory(equality)],[c_4764,c_4386]) ).
tff(c_1836,plain,
! [C_423,A_424,B_425] :
( v9_conlat_1(C_423,A_424)
| ~ r2_hidden(C_423,B_425)
| ~ m1_conlat_1(B_425,A_424)
| v1_xboole_0(B_425)
| ~ l2_conlat_1(A_424)
| v3_conlat_1(A_424) ),
inference(cnfTransformation,[status(thm)],[f_220]) ).
tff(c_2379,plain,
! [A_501,A_502,B_503] :
( v9_conlat_1(A_501,A_502)
| ~ m1_conlat_1(B_503,A_502)
| ~ l2_conlat_1(A_502)
| v3_conlat_1(A_502)
| v1_xboole_0(B_503)
| ~ m1_subset_1(A_501,B_503) ),
inference(resolution,[status(thm)],[c_434,c_1836]) ).
tff(c_2381,plain,
! [A_501] :
( v9_conlat_1(A_501,'#skF_1')
| ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1')
| v1_xboole_0(k7_conlat_1('#skF_1'))
| ~ m1_subset_1(A_501,k7_conlat_1('#skF_1')) ),
inference(resolution,[status(thm)],[c_771,c_2379]) ).
tff(c_2388,plain,
! [A_501] :
( v9_conlat_1(A_501,'#skF_1')
| v3_conlat_1('#skF_1')
| v1_xboole_0(k7_conlat_1('#skF_1'))
| ~ m1_subset_1(A_501,k7_conlat_1('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_2381]) ).
tff(c_2389,plain,
! [A_501] :
( v9_conlat_1(A_501,'#skF_1')
| ~ m1_subset_1(A_501,k7_conlat_1('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_862,c_10,c_2388]) ).
tff(c_5203,plain,
v9_conlat_1(k1_funct_1(k4_conlat_2('#skF_1'),'#skF_2'),'#skF_1'),
inference(resolution,[status(thm)],[c_4842,c_2389]) ).
tff(c_5215,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4046,c_5203]) ).
tff(c_5216,plain,
( ~ l3_conlat_1(k8_funct_2(u1_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')),k4_conlat_2('#skF_1'),'#skF_2'),'#skF_1')
| ~ v9_conlat_1(k8_funct_2(u2_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')),k5_conlat_2('#skF_1'),'#skF_3'),'#skF_1')
| ~ l3_conlat_1(k8_funct_2(u2_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')),k5_conlat_2('#skF_1'),'#skF_3'),'#skF_1')
| v7_conlat_1(k8_funct_2(u1_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')),k4_conlat_2('#skF_1'),'#skF_2'),'#skF_1')
| v7_conlat_1(k8_funct_2(u2_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')),k5_conlat_2('#skF_1'),'#skF_3'),'#skF_1') ),
inference(splitRight,[status(thm)],[c_2]) ).
tff(c_5273,plain,
~ l3_conlat_1(k8_funct_2(u2_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')),k5_conlat_2('#skF_1'),'#skF_3'),'#skF_1'),
inference(splitLeft,[status(thm)],[c_5216]) ).
tff(c_10468,plain,
~ l3_conlat_1(k1_funct_1(k5_conlat_2('#skF_1'),'#skF_3'),'#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_10290,c_5273]) ).
tff(c_5504,plain,
! [A_788] :
( ( k8_conlat_1(A_788) = k7_conlat_1(A_788) )
| ~ l2_conlat_1(A_788)
| v3_conlat_1(A_788) ),
inference(cnfTransformation,[status(thm)],[f_799]) ).
tff(c_5507,plain,
( ( k8_conlat_1('#skF_1') = k7_conlat_1('#skF_1') )
| ~ l2_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_5504,c_10]) ).
tff(c_5510,plain,
k8_conlat_1('#skF_1') = k7_conlat_1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_5507]) ).
tff(c_5514,plain,
( m1_conlat_1(k7_conlat_1('#skF_1'),'#skF_1')
| ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_5510,c_116]) ).
tff(c_5518,plain,
( m1_conlat_1(k7_conlat_1('#skF_1'),'#skF_1')
| v3_conlat_1('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_5514]) ).
tff(c_5519,plain,
m1_conlat_1(k7_conlat_1('#skF_1'),'#skF_1'),
inference(negUnitSimplification,[status(thm)],[c_10,c_5518]) ).
tff(c_5571,plain,
! [B_807,A_808] :
( ~ v1_xboole_0(B_807)
| ~ m1_conlat_1(B_807,A_808)
| ~ l2_conlat_1(A_808)
| v3_conlat_1(A_808) ),
inference(cnfTransformation,[status(thm)],[f_357]) ).
tff(c_5574,plain,
( ~ v1_xboole_0(k7_conlat_1('#skF_1'))
| ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_5519,c_5571]) ).
tff(c_5583,plain,
( ~ v1_xboole_0(k7_conlat_1('#skF_1'))
| v3_conlat_1('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_5574]) ).
tff(c_5584,plain,
~ v1_xboole_0(k7_conlat_1('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_10,c_5583]) ).
tff(c_6537,plain,
! [A_954] :
( v1_funct_2(k10_conlat_1(A_954),k2_zfmisc_1(k8_conlat_1(A_954),k8_conlat_1(A_954)),k8_conlat_1(A_954))
| ~ l2_conlat_1(A_954)
| v3_conlat_1(A_954) ),
inference(cnfTransformation,[status(thm)],[f_254]) ).
tff(c_6540,plain,
( v1_funct_2(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k8_conlat_1('#skF_1')),k8_conlat_1('#skF_1'))
| ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_5510,c_6537]) ).
tff(c_6548,plain,
( v1_funct_2(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| v3_conlat_1('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_5510,c_5510,c_6540]) ).
tff(c_6549,plain,
v1_funct_2(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_10,c_6548]) ).
tff(c_6319,plain,
! [A_939] :
( m2_relset_1(k10_conlat_1(A_939),k2_zfmisc_1(k8_conlat_1(A_939),k8_conlat_1(A_939)),k8_conlat_1(A_939))
| ~ l2_conlat_1(A_939)
| v3_conlat_1(A_939) ),
inference(cnfTransformation,[status(thm)],[f_254]) ).
tff(c_6328,plain,
( m2_relset_1(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k8_conlat_1('#skF_1')),k8_conlat_1('#skF_1'))
| ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_5510,c_6319]) ).
tff(c_6338,plain,
( m2_relset_1(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| v3_conlat_1('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_5510,c_5510,c_6328]) ).
tff(c_6339,plain,
m2_relset_1(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_10,c_6338]) ).
tff(c_6354,plain,
m1_relset_1(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1')),
inference(resolution,[status(thm)],[c_6339,c_426]) ).
tff(c_6298,plain,
! [A_938] :
( v1_funct_2(k9_conlat_1(A_938),k2_zfmisc_1(k8_conlat_1(A_938),k8_conlat_1(A_938)),k8_conlat_1(A_938))
| ~ l2_conlat_1(A_938)
| v3_conlat_1(A_938) ),
inference(cnfTransformation,[status(thm)],[f_328]) ).
tff(c_6301,plain,
( v1_funct_2(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k8_conlat_1('#skF_1')),k8_conlat_1('#skF_1'))
| ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_5510,c_6298]) ).
tff(c_6309,plain,
( v1_funct_2(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| v3_conlat_1('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_5510,c_5510,c_6301]) ).
tff(c_6310,plain,
v1_funct_2(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_10,c_6309]) ).
tff(c_6229,plain,
! [A_931] :
( m2_relset_1(k9_conlat_1(A_931),k2_zfmisc_1(k8_conlat_1(A_931),k8_conlat_1(A_931)),k8_conlat_1(A_931))
| ~ l2_conlat_1(A_931)
| v3_conlat_1(A_931) ),
inference(cnfTransformation,[status(thm)],[f_328]) ).
tff(c_6238,plain,
( m2_relset_1(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k8_conlat_1('#skF_1')),k8_conlat_1('#skF_1'))
| ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_5510,c_6229]) ).
tff(c_6248,plain,
( m2_relset_1(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| v3_conlat_1('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_5510,c_5510,c_6238]) ).
tff(c_6249,plain,
m2_relset_1(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_10,c_6248]) ).
tff(c_6264,plain,
m1_relset_1(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1')),
inference(resolution,[status(thm)],[c_6249,c_426]) ).
tff(c_6189,plain,
! [A_921] :
( ( g3_lattices(k8_conlat_1(A_921),k10_conlat_1(A_921),k9_conlat_1(A_921)) = k11_conlat_1(A_921) )
| ~ l2_conlat_1(A_921)
| v3_conlat_1(A_921) ),
inference(cnfTransformation,[status(thm)],[f_227]) ).
tff(c_6198,plain,
( ( g3_lattices(k7_conlat_1('#skF_1'),k10_conlat_1('#skF_1'),k9_conlat_1('#skF_1')) = k11_conlat_1('#skF_1') )
| ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_5510,c_6189]) ).
tff(c_6202,plain,
( ( g3_lattices(k7_conlat_1('#skF_1'),k10_conlat_1('#skF_1'),k9_conlat_1('#skF_1')) = k11_conlat_1('#skF_1') )
| v3_conlat_1('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_6198]) ).
tff(c_6203,plain,
g3_lattices(k7_conlat_1('#skF_1'),k10_conlat_1('#skF_1'),k9_conlat_1('#skF_1')) = k11_conlat_1('#skF_1'),
inference(negUnitSimplification,[status(thm)],[c_10,c_6202]) ).
tff(c_9866,plain,
! [A_1247,B_1248,C_1249] :
( ~ v3_struct_0(g3_lattices(A_1247,B_1248,C_1249))
| ~ m1_relset_1(C_1249,k2_zfmisc_1(A_1247,A_1247),A_1247)
| ~ v1_funct_2(C_1249,k2_zfmisc_1(A_1247,A_1247),A_1247)
| ~ v1_funct_1(C_1249)
| ~ m1_relset_1(B_1248,k2_zfmisc_1(A_1247,A_1247),A_1247)
| ~ v1_funct_2(B_1248,k2_zfmisc_1(A_1247,A_1247),A_1247)
| ~ v1_funct_1(B_1248)
| v1_xboole_0(A_1247) ),
inference(cnfTransformation,[status(thm)],[f_533]) ).
tff(c_9868,plain,
( ~ v3_struct_0(k11_conlat_1('#skF_1'))
| ~ m1_relset_1(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_2(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_1(k9_conlat_1('#skF_1'))
| ~ m1_relset_1(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_2(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_1(k10_conlat_1('#skF_1'))
| v1_xboole_0(k7_conlat_1('#skF_1')) ),
inference(superposition,[status(thm),theory(equality)],[c_6203,c_9866]) ).
tff(c_9883,plain,
( ~ v3_struct_0(k11_conlat_1('#skF_1'))
| ~ v1_funct_1(k9_conlat_1('#skF_1'))
| ~ v1_funct_1(k10_conlat_1('#skF_1'))
| v1_xboole_0(k7_conlat_1('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_6549,c_6354,c_6310,c_6264,c_9868]) ).
tff(c_9884,plain,
( ~ v3_struct_0(k11_conlat_1('#skF_1'))
| ~ v1_funct_1(k9_conlat_1('#skF_1'))
| ~ v1_funct_1(k10_conlat_1('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_5584,c_9883]) ).
tff(c_9888,plain,
~ v1_funct_1(k10_conlat_1('#skF_1')),
inference(splitLeft,[status(thm)],[c_9884]) ).
tff(c_9891,plain,
( ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_86,c_9888]) ).
tff(c_9894,plain,
v3_conlat_1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_9891]) ).
tff(c_9896,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10,c_9894]) ).
tff(c_9897,plain,
( ~ v1_funct_1(k9_conlat_1('#skF_1'))
| ~ v3_struct_0(k11_conlat_1('#skF_1')) ),
inference(splitRight,[status(thm)],[c_9884]) ).
tff(c_9913,plain,
~ v3_struct_0(k11_conlat_1('#skF_1')),
inference(splitLeft,[status(thm)],[c_9897]) ).
tff(c_9924,plain,
( v14_lattices(k11_conlat_1('#skF_1'))
| ~ v15_lattices(k11_conlat_1('#skF_1'))
| ~ l3_lattices(k11_conlat_1('#skF_1')) ),
inference(resolution,[status(thm)],[c_46,c_9913]) ).
tff(c_9926,plain,
~ l3_lattices(k11_conlat_1('#skF_1')),
inference(splitLeft,[status(thm)],[c_9924]) ).
tff(c_9929,plain,
( ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_88,c_9926]) ).
tff(c_9932,plain,
v3_conlat_1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_9929]) ).
tff(c_9934,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10,c_9932]) ).
tff(c_9936,plain,
l3_lattices(k11_conlat_1('#skF_1')),
inference(splitRight,[status(thm)],[c_9924]) ).
tff(c_9898,plain,
v1_funct_1(k10_conlat_1('#skF_1')),
inference(splitRight,[status(thm)],[c_9884]) ).
tff(c_9949,plain,
! [D_1253,A_1255,F_1254,C_1252,E_1257,B_1256] :
( ( F_1254 = C_1252 )
| ( g3_lattices(D_1253,E_1257,F_1254) != g3_lattices(A_1255,B_1256,C_1252) )
| ~ m1_relset_1(C_1252,k2_zfmisc_1(A_1255,A_1255),A_1255)
| ~ v1_funct_2(C_1252,k2_zfmisc_1(A_1255,A_1255),A_1255)
| ~ v1_funct_1(C_1252)
| ~ m1_relset_1(B_1256,k2_zfmisc_1(A_1255,A_1255),A_1255)
| ~ v1_funct_2(B_1256,k2_zfmisc_1(A_1255,A_1255),A_1255)
| ~ v1_funct_1(B_1256) ),
inference(cnfTransformation,[status(thm)],[f_647]) ).
tff(c_9953,plain,
! [F_1254,D_1253,E_1257] :
( ( k9_conlat_1('#skF_1') = F_1254 )
| ( g3_lattices(D_1253,E_1257,F_1254) != k11_conlat_1('#skF_1') )
| ~ m1_relset_1(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_2(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_1(k9_conlat_1('#skF_1'))
| ~ m1_relset_1(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_2(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_1(k10_conlat_1('#skF_1')) ),
inference(superposition,[status(thm),theory(equality)],[c_6203,c_9949]) ).
tff(c_9963,plain,
! [F_1254,D_1253,E_1257] :
( ( k9_conlat_1('#skF_1') = F_1254 )
| ( g3_lattices(D_1253,E_1257,F_1254) != k11_conlat_1('#skF_1') )
| ~ v1_funct_1(k9_conlat_1('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_9898,c_6549,c_6354,c_6310,c_6264,c_9953]) ).
tff(c_10049,plain,
~ v1_funct_1(k9_conlat_1('#skF_1')),
inference(splitLeft,[status(thm)],[c_9963]) ).
tff(c_10052,plain,
( ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_124,c_10049]) ).
tff(c_10055,plain,
v3_conlat_1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_10052]) ).
tff(c_10057,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10,c_10055]) ).
tff(c_10059,plain,
v1_funct_1(k9_conlat_1('#skF_1')),
inference(splitRight,[status(thm)],[c_9963]) ).
tff(c_10001,plain,
! [B_1264,A_1263,F_1262,C_1260,E_1265,D_1261] :
( ( D_1261 = A_1263 )
| ( g3_lattices(D_1261,E_1265,F_1262) != g3_lattices(A_1263,B_1264,C_1260) )
| ~ m1_relset_1(C_1260,k2_zfmisc_1(A_1263,A_1263),A_1263)
| ~ v1_funct_2(C_1260,k2_zfmisc_1(A_1263,A_1263),A_1263)
| ~ v1_funct_1(C_1260)
| ~ m1_relset_1(B_1264,k2_zfmisc_1(A_1263,A_1263),A_1263)
| ~ v1_funct_2(B_1264,k2_zfmisc_1(A_1263,A_1263),A_1263)
| ~ v1_funct_1(B_1264) ),
inference(cnfTransformation,[status(thm)],[f_647]) ).
tff(c_10005,plain,
! [D_1261,E_1265,F_1262] :
( ( k7_conlat_1('#skF_1') = D_1261 )
| ( g3_lattices(D_1261,E_1265,F_1262) != k11_conlat_1('#skF_1') )
| ~ m1_relset_1(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_2(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_1(k9_conlat_1('#skF_1'))
| ~ m1_relset_1(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_2(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_1(k10_conlat_1('#skF_1')) ),
inference(superposition,[status(thm),theory(equality)],[c_6203,c_10001]) ).
tff(c_10015,plain,
! [D_1261,E_1265,F_1262] :
( ( k7_conlat_1('#skF_1') = D_1261 )
| ( g3_lattices(D_1261,E_1265,F_1262) != k11_conlat_1('#skF_1') )
| ~ v1_funct_1(k9_conlat_1('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_9898,c_6549,c_6354,c_6310,c_6264,c_10005]) ).
tff(c_10197,plain,
! [D_1287,E_1288,F_1289] :
( ( k7_conlat_1('#skF_1') = D_1287 )
| ( g3_lattices(D_1287,E_1288,F_1289) != k11_conlat_1('#skF_1') ) ),
inference(demodulation,[status(thm),theory(equality)],[c_10059,c_10015]) ).
tff(c_10221,plain,
! [A_1290] :
( ( u1_struct_0(A_1290) = k7_conlat_1('#skF_1') )
| ( k11_conlat_1('#skF_1') != A_1290 )
| ~ v3_lattices(A_1290)
| ~ l3_lattices(A_1290) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_10197]) ).
tff(c_12188,plain,
! [A_1395] :
( ( u1_struct_0(k11_conlat_1(A_1395)) = k7_conlat_1('#skF_1') )
| ( k11_conlat_1(A_1395) != k11_conlat_1('#skF_1') )
| ~ l3_lattices(k11_conlat_1(A_1395))
| ~ l2_conlat_1(A_1395)
| v3_conlat_1(A_1395) ),
inference(resolution,[status(thm)],[c_298,c_10221]) ).
tff(c_12191,plain,
( ( u1_struct_0(k11_conlat_1('#skF_1')) = k7_conlat_1('#skF_1') )
| ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_9936,c_12188]) ).
tff(c_12197,plain,
( ( u1_struct_0(k11_conlat_1('#skF_1')) = k7_conlat_1('#skF_1') )
| v3_conlat_1('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_12191]) ).
tff(c_12198,plain,
u1_struct_0(k11_conlat_1('#skF_1')) = k7_conlat_1('#skF_1'),
inference(negUnitSimplification,[status(thm)],[c_10,c_12197]) ).
tff(c_10219,plain,
v1_funct_1(k5_conlat_2('#skF_1')),
inference(splitRight,[status(thm)],[c_10146]) ).
tff(c_10291,plain,
m1_relset_1(k5_conlat_2('#skF_1'),u2_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1'))),
inference(splitRight,[status(thm)],[c_10218]) ).
tff(c_10472,plain,
( m1_subset_1(k1_funct_1(k5_conlat_2('#skF_1'),'#skF_3'),u1_struct_0(k11_conlat_1('#skF_1')))
| ~ m1_subset_1('#skF_3',u2_conlat_1('#skF_1'))
| ~ m1_relset_1(k5_conlat_2('#skF_1'),u2_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')))
| ~ v1_funct_2(k5_conlat_2('#skF_1'),u2_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')))
| ~ v1_funct_1(k5_conlat_2('#skF_1'))
| v1_xboole_0(u2_conlat_1('#skF_1')) ),
inference(superposition,[status(thm),theory(equality)],[c_10290,c_118]) ).
tff(c_10476,plain,
( m1_subset_1(k1_funct_1(k5_conlat_2('#skF_1'),'#skF_3'),u1_struct_0(k11_conlat_1('#skF_1')))
| ~ v1_funct_2(k5_conlat_2('#skF_1'),u2_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')))
| v1_xboole_0(u2_conlat_1('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_10219,c_10291,c_4,c_10472]) ).
tff(c_10477,plain,
( m1_subset_1(k1_funct_1(k5_conlat_2('#skF_1'),'#skF_3'),u1_struct_0(k11_conlat_1('#skF_1')))
| ~ v1_funct_2(k5_conlat_2('#skF_1'),u2_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1'))) ),
inference(negUnitSimplification,[status(thm)],[c_7641,c_10476]) ).
tff(c_11955,plain,
~ v1_funct_2(k5_conlat_2('#skF_1'),u2_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1'))),
inference(splitLeft,[status(thm)],[c_10477]) ).
tff(c_11958,plain,
( ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_110,c_11955]) ).
tff(c_11961,plain,
v3_conlat_1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_11958]) ).
tff(c_11963,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10,c_11961]) ).
tff(c_11964,plain,
m1_subset_1(k1_funct_1(k5_conlat_2('#skF_1'),'#skF_3'),u1_struct_0(k11_conlat_1('#skF_1'))),
inference(splitRight,[status(thm)],[c_10477]) ).
tff(c_12201,plain,
m1_subset_1(k1_funct_1(k5_conlat_2('#skF_1'),'#skF_3'),k7_conlat_1('#skF_1')),
inference(demodulation,[status(thm),theory(equality)],[c_12198,c_11964]) ).
tff(c_6594,plain,
! [C_964,A_965,B_966] :
( l3_conlat_1(C_964,A_965)
| ~ r2_hidden(C_964,B_966)
| ~ m1_conlat_1(B_966,A_965)
| v1_xboole_0(B_966)
| ~ l2_conlat_1(A_965)
| v3_conlat_1(A_965) ),
inference(cnfTransformation,[status(thm)],[f_220]) ).
tff(c_7754,plain,
! [A_1101,A_1102,B_1103] :
( l3_conlat_1(A_1101,A_1102)
| ~ m1_conlat_1(B_1103,A_1102)
| ~ l2_conlat_1(A_1102)
| v3_conlat_1(A_1102)
| v1_xboole_0(B_1103)
| ~ m1_subset_1(A_1101,B_1103) ),
inference(resolution,[status(thm)],[c_434,c_6594]) ).
tff(c_7756,plain,
! [A_1101] :
( l3_conlat_1(A_1101,'#skF_1')
| ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1')
| v1_xboole_0(k7_conlat_1('#skF_1'))
| ~ m1_subset_1(A_1101,k7_conlat_1('#skF_1')) ),
inference(resolution,[status(thm)],[c_5519,c_7754]) ).
tff(c_7763,plain,
! [A_1101] :
( l3_conlat_1(A_1101,'#skF_1')
| v3_conlat_1('#skF_1')
| v1_xboole_0(k7_conlat_1('#skF_1'))
| ~ m1_subset_1(A_1101,k7_conlat_1('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_7756]) ).
tff(c_7764,plain,
! [A_1101] :
( l3_conlat_1(A_1101,'#skF_1')
| ~ m1_subset_1(A_1101,k7_conlat_1('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_5584,c_10,c_7763]) ).
tff(c_12606,plain,
l3_conlat_1(k1_funct_1(k5_conlat_2('#skF_1'),'#skF_3'),'#skF_1'),
inference(resolution,[status(thm)],[c_12201,c_7764]) ).
tff(c_12618,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10468,c_12606]) ).
tff(c_12619,plain,
( ~ v9_conlat_1(k8_funct_2(u2_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')),k5_conlat_2('#skF_1'),'#skF_3'),'#skF_1')
| ~ l3_conlat_1(k8_funct_2(u1_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')),k4_conlat_2('#skF_1'),'#skF_2'),'#skF_1')
| v7_conlat_1(k8_funct_2(u2_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')),k5_conlat_2('#skF_1'),'#skF_3'),'#skF_1')
| v7_conlat_1(k8_funct_2(u1_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')),k4_conlat_2('#skF_1'),'#skF_2'),'#skF_1') ),
inference(splitRight,[status(thm)],[c_5216]) ).
tff(c_12662,plain,
~ l3_conlat_1(k8_funct_2(u1_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')),k4_conlat_2('#skF_1'),'#skF_2'),'#skF_1'),
inference(splitLeft,[status(thm)],[c_12619]) ).
tff(c_17816,plain,
~ l3_conlat_1(k1_funct_1(k4_conlat_2('#skF_1'),'#skF_2'),'#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_17638,c_12662]) ).
tff(c_12808,plain,
! [A_1482] :
( ( k8_conlat_1(A_1482) = k7_conlat_1(A_1482) )
| ~ l2_conlat_1(A_1482)
| v3_conlat_1(A_1482) ),
inference(cnfTransformation,[status(thm)],[f_799]) ).
tff(c_12811,plain,
( ( k8_conlat_1('#skF_1') = k7_conlat_1('#skF_1') )
| ~ l2_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_12808,c_10]) ).
tff(c_12814,plain,
k8_conlat_1('#skF_1') = k7_conlat_1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_12811]) ).
tff(c_12905,plain,
! [A_1501] :
( m1_conlat_1(k8_conlat_1(A_1501),A_1501)
| ~ l2_conlat_1(A_1501)
| v3_conlat_1(A_1501) ),
inference(cnfTransformation,[status(thm)],[f_304]) ).
tff(c_12908,plain,
( m1_conlat_1(k7_conlat_1('#skF_1'),'#skF_1')
| ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_12814,c_12905]) ).
tff(c_12910,plain,
( m1_conlat_1(k7_conlat_1('#skF_1'),'#skF_1')
| v3_conlat_1('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_12908]) ).
tff(c_12911,plain,
m1_conlat_1(k7_conlat_1('#skF_1'),'#skF_1'),
inference(negUnitSimplification,[status(thm)],[c_10,c_12910]) ).
tff(c_12952,plain,
! [B_1516,A_1517] :
( ~ v1_xboole_0(B_1516)
| ~ m1_conlat_1(B_1516,A_1517)
| ~ l2_conlat_1(A_1517)
| v3_conlat_1(A_1517) ),
inference(cnfTransformation,[status(thm)],[f_357]) ).
tff(c_12955,plain,
( ~ v1_xboole_0(k7_conlat_1('#skF_1'))
| ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_12911,c_12952]) ).
tff(c_12964,plain,
( ~ v1_xboole_0(k7_conlat_1('#skF_1'))
| v3_conlat_1('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_12955]) ).
tff(c_12965,plain,
~ v1_xboole_0(k7_conlat_1('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_10,c_12964]) ).
tff(c_13885,plain,
! [A_1653] :
( v1_funct_2(k10_conlat_1(A_1653),k2_zfmisc_1(k8_conlat_1(A_1653),k8_conlat_1(A_1653)),k8_conlat_1(A_1653))
| ~ l2_conlat_1(A_1653)
| v3_conlat_1(A_1653) ),
inference(cnfTransformation,[status(thm)],[f_254]) ).
tff(c_13888,plain,
( v1_funct_2(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k8_conlat_1('#skF_1')),k8_conlat_1('#skF_1'))
| ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_12814,c_13885]) ).
tff(c_13896,plain,
( v1_funct_2(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| v3_conlat_1('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_12814,c_12814,c_13888]) ).
tff(c_13897,plain,
v1_funct_2(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_10,c_13896]) ).
tff(c_13693,plain,
! [A_1639] :
( m2_relset_1(k10_conlat_1(A_1639),k2_zfmisc_1(k8_conlat_1(A_1639),k8_conlat_1(A_1639)),k8_conlat_1(A_1639))
| ~ l2_conlat_1(A_1639)
| v3_conlat_1(A_1639) ),
inference(cnfTransformation,[status(thm)],[f_254]) ).
tff(c_13702,plain,
( m2_relset_1(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k8_conlat_1('#skF_1')),k8_conlat_1('#skF_1'))
| ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_12814,c_13693]) ).
tff(c_13712,plain,
( m2_relset_1(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| v3_conlat_1('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_12814,c_12814,c_13702]) ).
tff(c_13713,plain,
m2_relset_1(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_10,c_13712]) ).
tff(c_13728,plain,
m1_relset_1(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1')),
inference(resolution,[status(thm)],[c_13713,c_426]) ).
tff(c_13850,plain,
! [A_1649] :
( v1_funct_2(k9_conlat_1(A_1649),k2_zfmisc_1(k8_conlat_1(A_1649),k8_conlat_1(A_1649)),k8_conlat_1(A_1649))
| ~ l2_conlat_1(A_1649)
| v3_conlat_1(A_1649) ),
inference(cnfTransformation,[status(thm)],[f_328]) ).
tff(c_13853,plain,
( v1_funct_2(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k8_conlat_1('#skF_1')),k8_conlat_1('#skF_1'))
| ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_12814,c_13850]) ).
tff(c_13861,plain,
( v1_funct_2(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| v3_conlat_1('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_12814,c_12814,c_13853]) ).
tff(c_13862,plain,
v1_funct_2(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_10,c_13861]) ).
tff(c_13655,plain,
! [A_1637] :
( m2_relset_1(k9_conlat_1(A_1637),k2_zfmisc_1(k8_conlat_1(A_1637),k8_conlat_1(A_1637)),k8_conlat_1(A_1637))
| ~ l2_conlat_1(A_1637)
| v3_conlat_1(A_1637) ),
inference(cnfTransformation,[status(thm)],[f_328]) ).
tff(c_13664,plain,
( m2_relset_1(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k8_conlat_1('#skF_1')),k8_conlat_1('#skF_1'))
| ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_12814,c_13655]) ).
tff(c_13674,plain,
( m2_relset_1(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| v3_conlat_1('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_12814,c_12814,c_13664]) ).
tff(c_13675,plain,
m2_relset_1(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_10,c_13674]) ).
tff(c_13690,plain,
m1_relset_1(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1')),
inference(resolution,[status(thm)],[c_13675,c_426]) ).
tff(c_13537,plain,
! [A_1624] :
( ( g3_lattices(k8_conlat_1(A_1624),k10_conlat_1(A_1624),k9_conlat_1(A_1624)) = k11_conlat_1(A_1624) )
| ~ l2_conlat_1(A_1624)
| v3_conlat_1(A_1624) ),
inference(cnfTransformation,[status(thm)],[f_227]) ).
tff(c_13546,plain,
( ( g3_lattices(k7_conlat_1('#skF_1'),k10_conlat_1('#skF_1'),k9_conlat_1('#skF_1')) = k11_conlat_1('#skF_1') )
| ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_12814,c_13537]) ).
tff(c_13550,plain,
( ( g3_lattices(k7_conlat_1('#skF_1'),k10_conlat_1('#skF_1'),k9_conlat_1('#skF_1')) = k11_conlat_1('#skF_1') )
| v3_conlat_1('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_13546]) ).
tff(c_13551,plain,
g3_lattices(k7_conlat_1('#skF_1'),k10_conlat_1('#skF_1'),k9_conlat_1('#skF_1')) = k11_conlat_1('#skF_1'),
inference(negUnitSimplification,[status(thm)],[c_10,c_13550]) ).
tff(c_17214,plain,
! [A_1946,B_1947,C_1948] :
( ~ v3_struct_0(g3_lattices(A_1946,B_1947,C_1948))
| ~ m1_relset_1(C_1948,k2_zfmisc_1(A_1946,A_1946),A_1946)
| ~ v1_funct_2(C_1948,k2_zfmisc_1(A_1946,A_1946),A_1946)
| ~ v1_funct_1(C_1948)
| ~ m1_relset_1(B_1947,k2_zfmisc_1(A_1946,A_1946),A_1946)
| ~ v1_funct_2(B_1947,k2_zfmisc_1(A_1946,A_1946),A_1946)
| ~ v1_funct_1(B_1947)
| v1_xboole_0(A_1946) ),
inference(cnfTransformation,[status(thm)],[f_533]) ).
tff(c_17216,plain,
( ~ v3_struct_0(k11_conlat_1('#skF_1'))
| ~ m1_relset_1(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_2(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_1(k9_conlat_1('#skF_1'))
| ~ m1_relset_1(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_2(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_1(k10_conlat_1('#skF_1'))
| v1_xboole_0(k7_conlat_1('#skF_1')) ),
inference(superposition,[status(thm),theory(equality)],[c_13551,c_17214]) ).
tff(c_17231,plain,
( ~ v3_struct_0(k11_conlat_1('#skF_1'))
| ~ v1_funct_1(k9_conlat_1('#skF_1'))
| ~ v1_funct_1(k10_conlat_1('#skF_1'))
| v1_xboole_0(k7_conlat_1('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_13897,c_13728,c_13862,c_13690,c_17216]) ).
tff(c_17232,plain,
( ~ v3_struct_0(k11_conlat_1('#skF_1'))
| ~ v1_funct_1(k9_conlat_1('#skF_1'))
| ~ v1_funct_1(k10_conlat_1('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_12965,c_17231]) ).
tff(c_17236,plain,
~ v1_funct_1(k10_conlat_1('#skF_1')),
inference(splitLeft,[status(thm)],[c_17232]) ).
tff(c_17239,plain,
( ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_86,c_17236]) ).
tff(c_17242,plain,
v3_conlat_1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_17239]) ).
tff(c_17244,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10,c_17242]) ).
tff(c_17245,plain,
( ~ v1_funct_1(k9_conlat_1('#skF_1'))
| ~ v3_struct_0(k11_conlat_1('#skF_1')) ),
inference(splitRight,[status(thm)],[c_17232]) ).
tff(c_17261,plain,
~ v3_struct_0(k11_conlat_1('#skF_1')),
inference(splitLeft,[status(thm)],[c_17245]) ).
tff(c_17272,plain,
( v14_lattices(k11_conlat_1('#skF_1'))
| ~ v15_lattices(k11_conlat_1('#skF_1'))
| ~ l3_lattices(k11_conlat_1('#skF_1')) ),
inference(resolution,[status(thm)],[c_46,c_17261]) ).
tff(c_17274,plain,
~ l3_lattices(k11_conlat_1('#skF_1')),
inference(splitLeft,[status(thm)],[c_17272]) ).
tff(c_17277,plain,
( ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_88,c_17274]) ).
tff(c_17280,plain,
v3_conlat_1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_17277]) ).
tff(c_17282,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10,c_17280]) ).
tff(c_17284,plain,
l3_lattices(k11_conlat_1('#skF_1')),
inference(splitRight,[status(thm)],[c_17272]) ).
tff(c_17246,plain,
v1_funct_1(k10_conlat_1('#skF_1')),
inference(splitRight,[status(thm)],[c_17232]) ).
tff(c_17297,plain,
! [F_1953,A_1954,E_1956,D_1952,C_1951,B_1955] :
( ( F_1953 = C_1951 )
| ( g3_lattices(D_1952,E_1956,F_1953) != g3_lattices(A_1954,B_1955,C_1951) )
| ~ m1_relset_1(C_1951,k2_zfmisc_1(A_1954,A_1954),A_1954)
| ~ v1_funct_2(C_1951,k2_zfmisc_1(A_1954,A_1954),A_1954)
| ~ v1_funct_1(C_1951)
| ~ m1_relset_1(B_1955,k2_zfmisc_1(A_1954,A_1954),A_1954)
| ~ v1_funct_2(B_1955,k2_zfmisc_1(A_1954,A_1954),A_1954)
| ~ v1_funct_1(B_1955) ),
inference(cnfTransformation,[status(thm)],[f_647]) ).
tff(c_17301,plain,
! [F_1953,D_1952,E_1956] :
( ( k9_conlat_1('#skF_1') = F_1953 )
| ( g3_lattices(D_1952,E_1956,F_1953) != k11_conlat_1('#skF_1') )
| ~ m1_relset_1(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_2(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_1(k9_conlat_1('#skF_1'))
| ~ m1_relset_1(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_2(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_1(k10_conlat_1('#skF_1')) ),
inference(superposition,[status(thm),theory(equality)],[c_13551,c_17297]) ).
tff(c_17311,plain,
! [F_1953,D_1952,E_1956] :
( ( k9_conlat_1('#skF_1') = F_1953 )
| ( g3_lattices(D_1952,E_1956,F_1953) != k11_conlat_1('#skF_1') )
| ~ v1_funct_1(k9_conlat_1('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_17246,c_13897,c_13728,c_13862,c_13690,c_17301]) ).
tff(c_17397,plain,
~ v1_funct_1(k9_conlat_1('#skF_1')),
inference(splitLeft,[status(thm)],[c_17311]) ).
tff(c_17400,plain,
( ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_124,c_17397]) ).
tff(c_17403,plain,
v3_conlat_1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_17400]) ).
tff(c_17405,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10,c_17403]) ).
tff(c_17407,plain,
v1_funct_1(k9_conlat_1('#skF_1')),
inference(splitRight,[status(thm)],[c_17311]) ).
tff(c_17349,plain,
! [A_1962,E_1964,D_1960,B_1963,C_1959,F_1961] :
( ( D_1960 = A_1962 )
| ( g3_lattices(D_1960,E_1964,F_1961) != g3_lattices(A_1962,B_1963,C_1959) )
| ~ m1_relset_1(C_1959,k2_zfmisc_1(A_1962,A_1962),A_1962)
| ~ v1_funct_2(C_1959,k2_zfmisc_1(A_1962,A_1962),A_1962)
| ~ v1_funct_1(C_1959)
| ~ m1_relset_1(B_1963,k2_zfmisc_1(A_1962,A_1962),A_1962)
| ~ v1_funct_2(B_1963,k2_zfmisc_1(A_1962,A_1962),A_1962)
| ~ v1_funct_1(B_1963) ),
inference(cnfTransformation,[status(thm)],[f_647]) ).
tff(c_17353,plain,
! [D_1960,E_1964,F_1961] :
( ( k7_conlat_1('#skF_1') = D_1960 )
| ( g3_lattices(D_1960,E_1964,F_1961) != k11_conlat_1('#skF_1') )
| ~ m1_relset_1(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_2(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_1(k9_conlat_1('#skF_1'))
| ~ m1_relset_1(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_2(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_1(k10_conlat_1('#skF_1')) ),
inference(superposition,[status(thm),theory(equality)],[c_13551,c_17349]) ).
tff(c_17363,plain,
! [D_1960,E_1964,F_1961] :
( ( k7_conlat_1('#skF_1') = D_1960 )
| ( g3_lattices(D_1960,E_1964,F_1961) != k11_conlat_1('#skF_1') )
| ~ v1_funct_1(k9_conlat_1('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_17246,c_13897,c_13728,c_13862,c_13690,c_17353]) ).
tff(c_17550,plain,
! [D_1986,E_1987,F_1988] :
( ( k7_conlat_1('#skF_1') = D_1986 )
| ( g3_lattices(D_1986,E_1987,F_1988) != k11_conlat_1('#skF_1') ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17407,c_17363]) ).
tff(c_17574,plain,
! [A_1989] :
( ( u1_struct_0(A_1989) = k7_conlat_1('#skF_1') )
| ( k11_conlat_1('#skF_1') != A_1989 )
| ~ v3_lattices(A_1989)
| ~ l3_lattices(A_1989) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_17550]) ).
tff(c_19513,plain,
! [A_2098] :
( ( u1_struct_0(k11_conlat_1(A_2098)) = k7_conlat_1('#skF_1') )
| ( k11_conlat_1(A_2098) != k11_conlat_1('#skF_1') )
| ~ l3_lattices(k11_conlat_1(A_2098))
| ~ l2_conlat_1(A_2098)
| v3_conlat_1(A_2098) ),
inference(resolution,[status(thm)],[c_298,c_17574]) ).
tff(c_19516,plain,
( ( u1_struct_0(k11_conlat_1('#skF_1')) = k7_conlat_1('#skF_1') )
| ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_17284,c_19513]) ).
tff(c_19522,plain,
( ( u1_struct_0(k11_conlat_1('#skF_1')) = k7_conlat_1('#skF_1') )
| v3_conlat_1('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_19516]) ).
tff(c_19523,plain,
u1_struct_0(k11_conlat_1('#skF_1')) = k7_conlat_1('#skF_1'),
inference(negUnitSimplification,[status(thm)],[c_10,c_19522]) ).
tff(c_17572,plain,
v1_funct_1(k4_conlat_2('#skF_1')),
inference(splitRight,[status(thm)],[c_17494]) ).
tff(c_17639,plain,
m1_relset_1(k4_conlat_2('#skF_1'),u1_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1'))),
inference(splitRight,[status(thm)],[c_17571]) ).
tff(c_17821,plain,
( m1_subset_1(k1_funct_1(k4_conlat_2('#skF_1'),'#skF_2'),u1_struct_0(k11_conlat_1('#skF_1')))
| ~ m1_subset_1('#skF_2',u1_conlat_1('#skF_1'))
| ~ m1_relset_1(k4_conlat_2('#skF_1'),u1_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')))
| ~ v1_funct_2(k4_conlat_2('#skF_1'),u1_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')))
| ~ v1_funct_1(k4_conlat_2('#skF_1'))
| v1_xboole_0(u1_conlat_1('#skF_1')) ),
inference(superposition,[status(thm),theory(equality)],[c_17638,c_118]) ).
tff(c_17825,plain,
( m1_subset_1(k1_funct_1(k4_conlat_2('#skF_1'),'#skF_2'),u1_struct_0(k11_conlat_1('#skF_1')))
| ~ v1_funct_2(k4_conlat_2('#skF_1'),u1_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')))
| v1_xboole_0(u1_conlat_1('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_17572,c_17639,c_6,c_17821]) ).
tff(c_17826,plain,
( m1_subset_1(k1_funct_1(k4_conlat_2('#skF_1'),'#skF_2'),u1_struct_0(k11_conlat_1('#skF_1')))
| ~ v1_funct_2(k4_conlat_2('#skF_1'),u1_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1'))) ),
inference(negUnitSimplification,[status(thm)],[c_14941,c_17825]) ).
tff(c_19227,plain,
~ v1_funct_2(k4_conlat_2('#skF_1'),u1_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1'))),
inference(splitLeft,[status(thm)],[c_17826]) ).
tff(c_19256,plain,
( ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_104,c_19227]) ).
tff(c_19259,plain,
v3_conlat_1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_19256]) ).
tff(c_19261,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10,c_19259]) ).
tff(c_19262,plain,
m1_subset_1(k1_funct_1(k4_conlat_2('#skF_1'),'#skF_2'),u1_struct_0(k11_conlat_1('#skF_1'))),
inference(splitRight,[status(thm)],[c_17826]) ).
tff(c_19528,plain,
m1_subset_1(k1_funct_1(k4_conlat_2('#skF_1'),'#skF_2'),k7_conlat_1('#skF_1')),
inference(demodulation,[status(thm),theory(equality)],[c_19523,c_19262]) ).
tff(c_13906,plain,
! [C_1654,A_1655,B_1656] :
( l3_conlat_1(C_1654,A_1655)
| ~ r2_hidden(C_1654,B_1656)
| ~ m1_conlat_1(B_1656,A_1655)
| v1_xboole_0(B_1656)
| ~ l2_conlat_1(A_1655)
| v3_conlat_1(A_1655) ),
inference(cnfTransformation,[status(thm)],[f_220]) ).
tff(c_15365,plain,
! [A_1817,A_1818,B_1819] :
( l3_conlat_1(A_1817,A_1818)
| ~ m1_conlat_1(B_1819,A_1818)
| ~ l2_conlat_1(A_1818)
| v3_conlat_1(A_1818)
| v1_xboole_0(B_1819)
| ~ m1_subset_1(A_1817,B_1819) ),
inference(resolution,[status(thm)],[c_434,c_13906]) ).
tff(c_15367,plain,
! [A_1817] :
( l3_conlat_1(A_1817,'#skF_1')
| ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1')
| v1_xboole_0(k7_conlat_1('#skF_1'))
| ~ m1_subset_1(A_1817,k7_conlat_1('#skF_1')) ),
inference(resolution,[status(thm)],[c_12911,c_15365]) ).
tff(c_15374,plain,
! [A_1817] :
( l3_conlat_1(A_1817,'#skF_1')
| v3_conlat_1('#skF_1')
| v1_xboole_0(k7_conlat_1('#skF_1'))
| ~ m1_subset_1(A_1817,k7_conlat_1('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_15367]) ).
tff(c_15375,plain,
! [A_1817] :
( l3_conlat_1(A_1817,'#skF_1')
| ~ m1_subset_1(A_1817,k7_conlat_1('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_12965,c_10,c_15374]) ).
tff(c_19863,plain,
l3_conlat_1(k1_funct_1(k4_conlat_2('#skF_1'),'#skF_2'),'#skF_1'),
inference(resolution,[status(thm)],[c_19528,c_15375]) ).
tff(c_19877,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_17816,c_19863]) ).
tff(c_19878,plain,
( ~ v9_conlat_1(k8_funct_2(u2_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')),k5_conlat_2('#skF_1'),'#skF_3'),'#skF_1')
| v7_conlat_1(k8_funct_2(u1_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')),k4_conlat_2('#skF_1'),'#skF_2'),'#skF_1')
| v7_conlat_1(k8_funct_2(u2_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')),k5_conlat_2('#skF_1'),'#skF_3'),'#skF_1') ),
inference(splitRight,[status(thm)],[c_12619]) ).
tff(c_19901,plain,
~ v9_conlat_1(k8_funct_2(u2_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')),k5_conlat_2('#skF_1'),'#skF_3'),'#skF_1'),
inference(splitLeft,[status(thm)],[c_19878]) ).
tff(c_24256,plain,
~ v9_conlat_1(k1_funct_1(k5_conlat_2('#skF_1'),'#skF_3'),'#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_23902,c_19901]) ).
tff(c_48,plain,
! [A_20] :
( v13_lattices(A_20)
| ~ v15_lattices(A_20)
| v3_struct_0(A_20)
| ~ l3_lattices(A_20) ),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_20111,plain,
! [A_2191] :
( ( k8_conlat_1(A_2191) = k7_conlat_1(A_2191) )
| ~ l2_conlat_1(A_2191)
| v3_conlat_1(A_2191) ),
inference(cnfTransformation,[status(thm)],[f_799]) ).
tff(c_20114,plain,
( ( k8_conlat_1('#skF_1') = k7_conlat_1('#skF_1') )
| ~ l2_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_20111,c_10]) ).
tff(c_20117,plain,
k8_conlat_1('#skF_1') = k7_conlat_1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_20114]) ).
tff(c_20121,plain,
( m1_conlat_1(k7_conlat_1('#skF_1'),'#skF_1')
| ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_20117,c_116]) ).
tff(c_20125,plain,
( m1_conlat_1(k7_conlat_1('#skF_1'),'#skF_1')
| v3_conlat_1('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_20121]) ).
tff(c_20126,plain,
m1_conlat_1(k7_conlat_1('#skF_1'),'#skF_1'),
inference(negUnitSimplification,[status(thm)],[c_10,c_20125]) ).
tff(c_20161,plain,
! [B_2204,A_2205] :
( ~ v1_xboole_0(B_2204)
| ~ m1_conlat_1(B_2204,A_2205)
| ~ l2_conlat_1(A_2205)
| v3_conlat_1(A_2205) ),
inference(cnfTransformation,[status(thm)],[f_357]) ).
tff(c_20164,plain,
( ~ v1_xboole_0(k7_conlat_1('#skF_1'))
| ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_20126,c_20161]) ).
tff(c_20173,plain,
( ~ v1_xboole_0(k7_conlat_1('#skF_1'))
| v3_conlat_1('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_20164]) ).
tff(c_20174,plain,
~ v1_xboole_0(k7_conlat_1('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_10,c_20173]) ).
tff(c_21135,plain,
! [A_2348] :
( v1_funct_2(k10_conlat_1(A_2348),k2_zfmisc_1(k8_conlat_1(A_2348),k8_conlat_1(A_2348)),k8_conlat_1(A_2348))
| ~ l2_conlat_1(A_2348)
| v3_conlat_1(A_2348) ),
inference(cnfTransformation,[status(thm)],[f_254]) ).
tff(c_21138,plain,
( v1_funct_2(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k8_conlat_1('#skF_1')),k8_conlat_1('#skF_1'))
| ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_20117,c_21135]) ).
tff(c_21146,plain,
( v1_funct_2(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| v3_conlat_1('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_20117,c_20117,c_21138]) ).
tff(c_21147,plain,
v1_funct_2(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_10,c_21146]) ).
tff(c_21046,plain,
! [A_2340] :
( m2_relset_1(k10_conlat_1(A_2340),k2_zfmisc_1(k8_conlat_1(A_2340),k8_conlat_1(A_2340)),k8_conlat_1(A_2340))
| ~ l2_conlat_1(A_2340)
| v3_conlat_1(A_2340) ),
inference(cnfTransformation,[status(thm)],[f_254]) ).
tff(c_21055,plain,
( m2_relset_1(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k8_conlat_1('#skF_1')),k8_conlat_1('#skF_1'))
| ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_20117,c_21046]) ).
tff(c_21065,plain,
( m2_relset_1(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| v3_conlat_1('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_20117,c_20117,c_21055]) ).
tff(c_21066,plain,
m2_relset_1(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_10,c_21065]) ).
tff(c_21081,plain,
m1_relset_1(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1')),
inference(resolution,[status(thm)],[c_21066,c_426]) ).
tff(c_20813,plain,
! [A_2316] :
( v1_funct_2(k9_conlat_1(A_2316),k2_zfmisc_1(k8_conlat_1(A_2316),k8_conlat_1(A_2316)),k8_conlat_1(A_2316))
| ~ l2_conlat_1(A_2316)
| v3_conlat_1(A_2316) ),
inference(cnfTransformation,[status(thm)],[f_328]) ).
tff(c_20816,plain,
( v1_funct_2(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k8_conlat_1('#skF_1')),k8_conlat_1('#skF_1'))
| ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_20117,c_20813]) ).
tff(c_20824,plain,
( v1_funct_2(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| v3_conlat_1('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_20117,c_20117,c_20816]) ).
tff(c_20825,plain,
v1_funct_2(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_10,c_20824]) ).
tff(c_20775,plain,
! [A_2314] :
( m2_relset_1(k9_conlat_1(A_2314),k2_zfmisc_1(k8_conlat_1(A_2314),k8_conlat_1(A_2314)),k8_conlat_1(A_2314))
| ~ l2_conlat_1(A_2314)
| v3_conlat_1(A_2314) ),
inference(cnfTransformation,[status(thm)],[f_328]) ).
tff(c_20784,plain,
( m2_relset_1(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k8_conlat_1('#skF_1')),k8_conlat_1('#skF_1'))
| ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_20117,c_20775]) ).
tff(c_20794,plain,
( m2_relset_1(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| v3_conlat_1('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_20117,c_20117,c_20784]) ).
tff(c_20795,plain,
m2_relset_1(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_10,c_20794]) ).
tff(c_20810,plain,
m1_relset_1(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1')),
inference(resolution,[status(thm)],[c_20795,c_426]) ).
tff(c_20745,plain,
! [A_2310] :
( ( g3_lattices(k8_conlat_1(A_2310),k10_conlat_1(A_2310),k9_conlat_1(A_2310)) = k11_conlat_1(A_2310) )
| ~ l2_conlat_1(A_2310)
| v3_conlat_1(A_2310) ),
inference(cnfTransformation,[status(thm)],[f_227]) ).
tff(c_20754,plain,
( ( g3_lattices(k7_conlat_1('#skF_1'),k10_conlat_1('#skF_1'),k9_conlat_1('#skF_1')) = k11_conlat_1('#skF_1') )
| ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_20117,c_20745]) ).
tff(c_20758,plain,
( ( g3_lattices(k7_conlat_1('#skF_1'),k10_conlat_1('#skF_1'),k9_conlat_1('#skF_1')) = k11_conlat_1('#skF_1') )
| v3_conlat_1('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_20754]) ).
tff(c_20759,plain,
g3_lattices(k7_conlat_1('#skF_1'),k10_conlat_1('#skF_1'),k9_conlat_1('#skF_1')) = k11_conlat_1('#skF_1'),
inference(negUnitSimplification,[status(thm)],[c_10,c_20758]) ).
tff(c_23847,plain,
! [A_2611,B_2612,C_2613] :
( ~ v3_struct_0(g3_lattices(A_2611,B_2612,C_2613))
| ~ m1_relset_1(C_2613,k2_zfmisc_1(A_2611,A_2611),A_2611)
| ~ v1_funct_2(C_2613,k2_zfmisc_1(A_2611,A_2611),A_2611)
| ~ v1_funct_1(C_2613)
| ~ m1_relset_1(B_2612,k2_zfmisc_1(A_2611,A_2611),A_2611)
| ~ v1_funct_2(B_2612,k2_zfmisc_1(A_2611,A_2611),A_2611)
| ~ v1_funct_1(B_2612)
| v1_xboole_0(A_2611) ),
inference(cnfTransformation,[status(thm)],[f_533]) ).
tff(c_23849,plain,
( ~ v3_struct_0(k11_conlat_1('#skF_1'))
| ~ m1_relset_1(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_2(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_1(k9_conlat_1('#skF_1'))
| ~ m1_relset_1(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_2(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_1(k10_conlat_1('#skF_1'))
| v1_xboole_0(k7_conlat_1('#skF_1')) ),
inference(superposition,[status(thm),theory(equality)],[c_20759,c_23847]) ).
tff(c_23864,plain,
( ~ v3_struct_0(k11_conlat_1('#skF_1'))
| ~ v1_funct_1(k9_conlat_1('#skF_1'))
| ~ v1_funct_1(k10_conlat_1('#skF_1'))
| v1_xboole_0(k7_conlat_1('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_21147,c_21081,c_20825,c_20810,c_23849]) ).
tff(c_23865,plain,
( ~ v3_struct_0(k11_conlat_1('#skF_1'))
| ~ v1_funct_1(k9_conlat_1('#skF_1'))
| ~ v1_funct_1(k10_conlat_1('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_20174,c_23864]) ).
tff(c_23869,plain,
~ v1_funct_1(k10_conlat_1('#skF_1')),
inference(splitLeft,[status(thm)],[c_23865]) ).
tff(c_23872,plain,
( ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_86,c_23869]) ).
tff(c_23875,plain,
v3_conlat_1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_23872]) ).
tff(c_23877,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10,c_23875]) ).
tff(c_23878,plain,
( ~ v1_funct_1(k9_conlat_1('#skF_1'))
| ~ v3_struct_0(k11_conlat_1('#skF_1')) ),
inference(splitRight,[status(thm)],[c_23865]) ).
tff(c_23904,plain,
~ v3_struct_0(k11_conlat_1('#skF_1')),
inference(splitLeft,[status(thm)],[c_23878]) ).
tff(c_23916,plain,
( v13_lattices(k11_conlat_1('#skF_1'))
| ~ v15_lattices(k11_conlat_1('#skF_1'))
| ~ l3_lattices(k11_conlat_1('#skF_1')) ),
inference(resolution,[status(thm)],[c_48,c_23904]) ).
tff(c_23940,plain,
~ l3_lattices(k11_conlat_1('#skF_1')),
inference(splitLeft,[status(thm)],[c_23916]) ).
tff(c_23944,plain,
( ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_88,c_23940]) ).
tff(c_23947,plain,
v3_conlat_1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_23944]) ).
tff(c_23949,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10,c_23947]) ).
tff(c_23951,plain,
l3_lattices(k11_conlat_1('#skF_1')),
inference(splitRight,[status(thm)],[c_23916]) ).
tff(c_23879,plain,
v1_funct_1(k10_conlat_1('#skF_1')),
inference(splitRight,[status(thm)],[c_23865]) ).
tff(c_23968,plain,
! [D_2621,C_2620,B_2624,F_2622,E_2625,A_2623] :
( ( D_2621 = A_2623 )
| ( g3_lattices(D_2621,E_2625,F_2622) != g3_lattices(A_2623,B_2624,C_2620) )
| ~ m1_relset_1(C_2620,k2_zfmisc_1(A_2623,A_2623),A_2623)
| ~ v1_funct_2(C_2620,k2_zfmisc_1(A_2623,A_2623),A_2623)
| ~ v1_funct_1(C_2620)
| ~ m1_relset_1(B_2624,k2_zfmisc_1(A_2623,A_2623),A_2623)
| ~ v1_funct_2(B_2624,k2_zfmisc_1(A_2623,A_2623),A_2623)
| ~ v1_funct_1(B_2624) ),
inference(cnfTransformation,[status(thm)],[f_647]) ).
tff(c_23972,plain,
! [D_2621,E_2625,F_2622] :
( ( k7_conlat_1('#skF_1') = D_2621 )
| ( g3_lattices(D_2621,E_2625,F_2622) != k11_conlat_1('#skF_1') )
| ~ m1_relset_1(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_2(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_1(k9_conlat_1('#skF_1'))
| ~ m1_relset_1(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_2(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_1(k10_conlat_1('#skF_1')) ),
inference(superposition,[status(thm),theory(equality)],[c_20759,c_23968]) ).
tff(c_23982,plain,
! [D_2621,E_2625,F_2622] :
( ( k7_conlat_1('#skF_1') = D_2621 )
| ( g3_lattices(D_2621,E_2625,F_2622) != k11_conlat_1('#skF_1') )
| ~ v1_funct_1(k9_conlat_1('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_23879,c_21147,c_21081,c_20825,c_20810,c_23972]) ).
tff(c_24030,plain,
~ v1_funct_1(k9_conlat_1('#skF_1')),
inference(splitLeft,[status(thm)],[c_23982]) ).
tff(c_24033,plain,
( ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_124,c_24030]) ).
tff(c_24036,plain,
v3_conlat_1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_24033]) ).
tff(c_24038,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10,c_24036]) ).
tff(c_24040,plain,
v1_funct_1(k9_conlat_1('#skF_1')),
inference(splitRight,[status(thm)],[c_23982]) ).
tff(c_23537,plain,
! [A_2592,B_2593,C_2594] :
( v3_lattices(g3_lattices(A_2592,B_2593,C_2594))
| ~ m1_relset_1(C_2594,k2_zfmisc_1(A_2592,A_2592),A_2592)
| ~ v1_funct_2(C_2594,k2_zfmisc_1(A_2592,A_2592),A_2592)
| ~ v1_funct_1(C_2594)
| ~ m1_relset_1(B_2593,k2_zfmisc_1(A_2592,A_2592),A_2592)
| ~ v1_funct_2(B_2593,k2_zfmisc_1(A_2592,A_2592),A_2592)
| ~ v1_funct_1(B_2593) ),
inference(cnfTransformation,[status(thm)],[f_243]) ).
tff(c_23543,plain,
! [B_2593] :
( v3_lattices(g3_lattices(k7_conlat_1('#skF_1'),B_2593,k9_conlat_1('#skF_1')))
| ~ m1_relset_1(k9_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_1(k9_conlat_1('#skF_1'))
| ~ m1_relset_1(B_2593,k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_2(B_2593,k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_1(B_2593) ),
inference(resolution,[status(thm)],[c_20825,c_23537]) ).
tff(c_23559,plain,
! [B_2593] :
( v3_lattices(g3_lattices(k7_conlat_1('#skF_1'),B_2593,k9_conlat_1('#skF_1')))
| ~ v1_funct_1(k9_conlat_1('#skF_1'))
| ~ m1_relset_1(B_2593,k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_2(B_2593,k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_1(B_2593) ),
inference(demodulation,[status(thm),theory(equality)],[c_20810,c_23543]) ).
tff(c_24635,plain,
! [B_2678] :
( v3_lattices(g3_lattices(k7_conlat_1('#skF_1'),B_2678,k9_conlat_1('#skF_1')))
| ~ m1_relset_1(B_2678,k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_2(B_2678,k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_1(B_2678) ),
inference(demodulation,[status(thm),theory(equality)],[c_24040,c_23559]) ).
tff(c_24638,plain,
( v3_lattices(g3_lattices(k7_conlat_1('#skF_1'),k10_conlat_1('#skF_1'),k9_conlat_1('#skF_1')))
| ~ m1_relset_1(k10_conlat_1('#skF_1'),k2_zfmisc_1(k7_conlat_1('#skF_1'),k7_conlat_1('#skF_1')),k7_conlat_1('#skF_1'))
| ~ v1_funct_1(k10_conlat_1('#skF_1')) ),
inference(resolution,[status(thm)],[c_21147,c_24635]) ).
tff(c_24648,plain,
v3_lattices(k11_conlat_1('#skF_1')),
inference(demodulation,[status(thm),theory(equality)],[c_23879,c_21081,c_20759,c_24638]) ).
tff(c_24056,plain,
! [D_2635,E_2636,F_2637] :
( ( k7_conlat_1('#skF_1') = D_2635 )
| ( g3_lattices(D_2635,E_2636,F_2637) != k11_conlat_1('#skF_1') ) ),
inference(splitRight,[status(thm)],[c_23982]) ).
tff(c_24065,plain,
! [A_5] :
( ( u1_struct_0(A_5) = k7_conlat_1('#skF_1') )
| ( k11_conlat_1('#skF_1') != A_5 )
| ~ v3_lattices(A_5)
| ~ l3_lattices(A_5) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_24056]) ).
tff(c_24663,plain,
( ( u1_struct_0(k11_conlat_1('#skF_1')) = k7_conlat_1('#skF_1') )
| ~ l3_lattices(k11_conlat_1('#skF_1')) ),
inference(resolution,[status(thm)],[c_24648,c_24065]) ).
tff(c_24672,plain,
u1_struct_0(k11_conlat_1('#skF_1')) = k7_conlat_1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_23951,c_24663]) ).
tff(c_23823,plain,
v1_funct_1(k5_conlat_2('#skF_1')),
inference(splitRight,[status(thm)],[c_23658]) ).
tff(c_23903,plain,
m1_relset_1(k5_conlat_2('#skF_1'),u2_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1'))),
inference(splitRight,[status(thm)],[c_23822]) ).
tff(c_24261,plain,
( m1_subset_1(k1_funct_1(k5_conlat_2('#skF_1'),'#skF_3'),u1_struct_0(k11_conlat_1('#skF_1')))
| ~ m1_subset_1('#skF_3',u2_conlat_1('#skF_1'))
| ~ m1_relset_1(k5_conlat_2('#skF_1'),u2_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')))
| ~ v1_funct_2(k5_conlat_2('#skF_1'),u2_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')))
| ~ v1_funct_1(k5_conlat_2('#skF_1'))
| v1_xboole_0(u2_conlat_1('#skF_1')) ),
inference(superposition,[status(thm),theory(equality)],[c_23902,c_118]) ).
tff(c_24265,plain,
( m1_subset_1(k1_funct_1(k5_conlat_2('#skF_1'),'#skF_3'),u1_struct_0(k11_conlat_1('#skF_1')))
| ~ v1_funct_2(k5_conlat_2('#skF_1'),u2_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')))
| v1_xboole_0(u2_conlat_1('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_23823,c_23903,c_4,c_24261]) ).
tff(c_24266,plain,
( m1_subset_1(k1_funct_1(k5_conlat_2('#skF_1'),'#skF_3'),u1_struct_0(k11_conlat_1('#skF_1')))
| ~ v1_funct_2(k5_conlat_2('#skF_1'),u2_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1'))) ),
inference(negUnitSimplification,[status(thm)],[c_21858,c_24265]) ).
tff(c_24540,plain,
~ v1_funct_2(k5_conlat_2('#skF_1'),u2_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1'))),
inference(splitLeft,[status(thm)],[c_24266]) ).
tff(c_24543,plain,
( ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_110,c_24540]) ).
tff(c_24546,plain,
v3_conlat_1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_24543]) ).
tff(c_24548,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10,c_24546]) ).
tff(c_24549,plain,
m1_subset_1(k1_funct_1(k5_conlat_2('#skF_1'),'#skF_3'),u1_struct_0(k11_conlat_1('#skF_1'))),
inference(splitRight,[status(thm)],[c_24266]) ).
tff(c_24810,plain,
m1_subset_1(k1_funct_1(k5_conlat_2('#skF_1'),'#skF_3'),k7_conlat_1('#skF_1')),
inference(demodulation,[status(thm),theory(equality)],[c_24672,c_24549]) ).
tff(c_21156,plain,
! [C_2349,A_2350,B_2351] :
( v9_conlat_1(C_2349,A_2350)
| ~ r2_hidden(C_2349,B_2351)
| ~ m1_conlat_1(B_2351,A_2350)
| v1_xboole_0(B_2351)
| ~ l2_conlat_1(A_2350)
| v3_conlat_1(A_2350) ),
inference(cnfTransformation,[status(thm)],[f_220]) ).
tff(c_22499,plain,
! [A_2502,A_2503,B_2504] :
( v9_conlat_1(A_2502,A_2503)
| ~ m1_conlat_1(B_2504,A_2503)
| ~ l2_conlat_1(A_2503)
| v3_conlat_1(A_2503)
| v1_xboole_0(B_2504)
| ~ m1_subset_1(A_2502,B_2504) ),
inference(resolution,[status(thm)],[c_434,c_21156]) ).
tff(c_22501,plain,
! [A_2502] :
( v9_conlat_1(A_2502,'#skF_1')
| ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1')
| v1_xboole_0(k7_conlat_1('#skF_1'))
| ~ m1_subset_1(A_2502,k7_conlat_1('#skF_1')) ),
inference(resolution,[status(thm)],[c_20126,c_22499]) ).
tff(c_22508,plain,
! [A_2502] :
( v9_conlat_1(A_2502,'#skF_1')
| v3_conlat_1('#skF_1')
| v1_xboole_0(k7_conlat_1('#skF_1'))
| ~ m1_subset_1(A_2502,k7_conlat_1('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_22501]) ).
tff(c_22509,plain,
! [A_2502] :
( v9_conlat_1(A_2502,'#skF_1')
| ~ m1_subset_1(A_2502,k7_conlat_1('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_20174,c_10,c_22508]) ).
tff(c_25162,plain,
v9_conlat_1(k1_funct_1(k5_conlat_2('#skF_1'),'#skF_3'),'#skF_1'),
inference(resolution,[status(thm)],[c_24810,c_22509]) ).
tff(c_25176,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24256,c_25162]) ).
tff(c_25177,plain,
( v7_conlat_1(k8_funct_2(u2_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')),k5_conlat_2('#skF_1'),'#skF_3'),'#skF_1')
| v7_conlat_1(k8_funct_2(u1_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')),k4_conlat_2('#skF_1'),'#skF_2'),'#skF_1') ),
inference(splitRight,[status(thm)],[c_19878]) ).
tff(c_25215,plain,
v7_conlat_1(k8_funct_2(u1_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')),k4_conlat_2('#skF_1'),'#skF_2'),'#skF_1'),
inference(splitLeft,[status(thm)],[c_25177]) ).
tff(c_26567,plain,
! [C_2943,A_2944,B_2945] :
( ~ v7_conlat_1(C_2943,A_2944)
| ~ r2_hidden(C_2943,B_2945)
| ~ m1_conlat_1(B_2945,A_2944)
| v1_xboole_0(B_2945)
| ~ l2_conlat_1(A_2944)
| v3_conlat_1(A_2944) ),
inference(cnfTransformation,[status(thm)],[f_220]) ).
tff(c_26569,plain,
! [B_2945] :
( ~ r2_hidden(k8_funct_2(u1_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')),k4_conlat_2('#skF_1'),'#skF_2'),B_2945)
| ~ m1_conlat_1(B_2945,'#skF_1')
| v1_xboole_0(B_2945)
| ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_25215,c_26567]) ).
tff(c_26572,plain,
! [B_2945] :
( ~ r2_hidden(k8_funct_2(u1_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')),k4_conlat_2('#skF_1'),'#skF_2'),B_2945)
| ~ m1_conlat_1(B_2945,'#skF_1')
| v1_xboole_0(B_2945)
| v3_conlat_1('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_26569]) ).
tff(c_26643,plain,
! [B_2953] :
( ~ r2_hidden(k8_funct_2(u1_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')),k4_conlat_2('#skF_1'),'#skF_2'),B_2953)
| ~ m1_conlat_1(B_2953,'#skF_1')
| v1_xboole_0(B_2953) ),
inference(negUnitSimplification,[status(thm)],[c_10,c_26572]) ).
tff(c_26648,plain,
! [B_135] :
( ~ m1_conlat_1(B_135,'#skF_1')
| v1_xboole_0(B_135)
| ~ m1_subset_1(k8_funct_2(u1_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')),k4_conlat_2('#skF_1'),'#skF_2'),B_135) ),
inference(resolution,[status(thm)],[c_434,c_26643]) ).
tff(c_28768,plain,
! [B_135] :
( ~ m1_conlat_1(B_135,'#skF_1')
| v1_xboole_0(B_135)
| ~ m1_subset_1(k1_funct_1(k4_conlat_2('#skF_1'),'#skF_2'),B_135) ),
inference(demodulation,[status(thm),theory(equality)],[c_28535,c_26648]) ).
tff(c_29168,plain,
( ~ m1_conlat_1(u1_struct_0(k11_conlat_1('#skF_1')),'#skF_1')
| v1_xboole_0(u1_struct_0(k11_conlat_1('#skF_1'))) ),
inference(resolution,[status(thm)],[c_29144,c_28768]) ).
tff(c_29229,plain,
~ m1_conlat_1(u1_struct_0(k11_conlat_1('#skF_1')),'#skF_1'),
inference(splitLeft,[status(thm)],[c_29168]) ).
tff(c_29915,plain,
~ m1_conlat_1(k7_conlat_1('#skF_1'),'#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_29843,c_29229]) ).
tff(c_29929,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_25403,c_29915]) ).
tff(c_29930,plain,
v1_xboole_0(u1_struct_0(k11_conlat_1('#skF_1'))),
inference(splitRight,[status(thm)],[c_29168]) ).
tff(c_218,plain,
! [A_80] :
( ~ v1_xboole_0(u1_struct_0(A_80))
| ~ l1_struct_0(A_80)
| v3_struct_0(A_80) ),
inference(cnfTransformation,[status(thm)],[f_459]) ).
tff(c_29940,plain,
( ~ l1_struct_0(k11_conlat_1('#skF_1'))
| v3_struct_0(k11_conlat_1('#skF_1')) ),
inference(resolution,[status(thm)],[c_29930,c_218]) ).
tff(c_29950,plain,
v3_struct_0(k11_conlat_1('#skF_1')),
inference(demodulation,[status(thm),theory(equality)],[c_28449,c_29940]) ).
tff(c_29952,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28400,c_29950]) ).
tff(c_29953,plain,
v7_conlat_1(k8_funct_2(u2_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')),k5_conlat_2('#skF_1'),'#skF_3'),'#skF_1'),
inference(splitRight,[status(thm)],[c_25177]) ).
tff(c_31061,plain,
! [C_3437,A_3438,B_3439] :
( ~ v7_conlat_1(C_3437,A_3438)
| ~ r2_hidden(C_3437,B_3439)
| ~ m1_conlat_1(B_3439,A_3438)
| v1_xboole_0(B_3439)
| ~ l2_conlat_1(A_3438)
| v3_conlat_1(A_3438) ),
inference(cnfTransformation,[status(thm)],[f_220]) ).
tff(c_31063,plain,
! [B_3439] :
( ~ r2_hidden(k8_funct_2(u2_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')),k5_conlat_2('#skF_1'),'#skF_3'),B_3439)
| ~ m1_conlat_1(B_3439,'#skF_1')
| v1_xboole_0(B_3439)
| ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_29953,c_31061]) ).
tff(c_31066,plain,
! [B_3439] :
( ~ r2_hidden(k8_funct_2(u2_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')),k5_conlat_2('#skF_1'),'#skF_3'),B_3439)
| ~ m1_conlat_1(B_3439,'#skF_1')
| v1_xboole_0(B_3439)
| v3_conlat_1('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_31063]) ).
tff(c_31134,plain,
! [B_3443] :
( ~ r2_hidden(k8_funct_2(u2_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')),k5_conlat_2('#skF_1'),'#skF_3'),B_3443)
| ~ m1_conlat_1(B_3443,'#skF_1')
| v1_xboole_0(B_3443) ),
inference(negUnitSimplification,[status(thm)],[c_10,c_31066]) ).
tff(c_31139,plain,
! [B_135] :
( ~ m1_conlat_1(B_135,'#skF_1')
| v1_xboole_0(B_135)
| ~ m1_subset_1(k8_funct_2(u2_conlat_1('#skF_1'),u1_struct_0(k11_conlat_1('#skF_1')),k5_conlat_2('#skF_1'),'#skF_3'),B_135) ),
inference(resolution,[status(thm)],[c_434,c_31134]) ).
tff(c_33567,plain,
! [B_135] :
( ~ m1_conlat_1(B_135,'#skF_1')
| v1_xboole_0(B_135)
| ~ m1_subset_1(k1_funct_1(k5_conlat_2('#skF_1'),'#skF_3'),B_135) ),
inference(demodulation,[status(thm),theory(equality)],[c_33328,c_31139]) ).
tff(c_34004,plain,
( ~ m1_conlat_1(u1_struct_0(k11_conlat_1('#skF_1')),'#skF_1')
| v1_xboole_0(u1_struct_0(k11_conlat_1('#skF_1'))) ),
inference(resolution,[status(thm)],[c_33993,c_33567]) ).
tff(c_34024,plain,
~ m1_conlat_1(u1_struct_0(k11_conlat_1('#skF_1')),'#skF_1'),
inference(splitLeft,[status(thm)],[c_34004]) ).
tff(c_34355,plain,
~ m1_conlat_1(k7_conlat_1('#skF_1'),'#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_34278,c_34024]) ).
tff(c_34366,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_30132,c_34355]) ).
tff(c_34367,plain,
v1_xboole_0(u1_struct_0(k11_conlat_1('#skF_1'))),
inference(splitRight,[status(thm)],[c_34004]) ).
tff(c_34375,plain,
( ~ l1_struct_0(k11_conlat_1('#skF_1'))
| v3_struct_0(k11_conlat_1('#skF_1')) ),
inference(resolution,[status(thm)],[c_34367,c_218]) ).
tff(c_34385,plain,
v3_struct_0(k11_conlat_1('#skF_1')),
inference(demodulation,[status(thm),theory(equality)],[c_33284,c_34375]) ).
tff(c_34387,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_33192,c_34385]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12 % Problem : LAT343+1 : TPTP v9.0.0. Released v3.4.0.
% 0.02/0.13 % 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
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Apr 8 04:33:41 EDT 2025
% 0.12/0.34 % CPUTime :
% 24.59/11.38 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 24.78/11.45
% 24.78/11.45 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------