TSTP Solution File: LAT326+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LAT326+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Aug 22 10:46:50 EDT 2023
% Result : Theorem 15.66s 5.67s
% Output : CNFRefutation 15.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 78
% Syntax : Number of formulae : 413 ( 161 unt; 58 typ; 0 def)
% Number of atoms : 1397 ( 7 equ)
% Maximal formula atoms : 19 ( 3 avg)
% Number of connectives : 1917 ( 875 ~; 927 |; 77 &)
% ( 0 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 65 ( 43 >; 22 *; 0 +; 0 <<)
% Number of predicates : 30 ( 28 usr; 1 prp; 0-3 aty)
% Number of functors : 30 ( 30 usr; 15 con; 0-2 aty)
% Number of variables : 205 (; 205 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ v1_partfun1 > v1_funct_2 > r1_lattice2 > m2_relset_1 > m1_relset_1 > v3_binop_1 > v2_binop_1 > v1_binop_1 > r2_hidden > r1_tarski > m2_lattice4 > m1_subset_1 > v9_lattices > v8_lattices > v7_lattices > v6_lattices > v5_lattices > v4_lattices > v3_struct_0 > v2_funct_1 > v1_xboole_0 > v1_relat_1 > v1_funct_1 > v10_lattices > l3_lattices > l2_lattices > l1_struct_0 > l1_lattices > k7_relat_1 > k2_zfmisc_1 > k1_realset1 > #nlpp > u2_lattices > u1_struct_0 > u1_lattices > k1_zfmisc_1 > k1_xboole_0 > #skF_20 > #skF_18 > #skF_17 > #skF_22 > #skF_19 > #skF_7 > #skF_16 > #skF_15 > #skF_12 > #skF_5 > #skF_10 > #skF_6 > #skF_13 > #skF_2 > #skF_3 > #skF_1 > #skF_21 > #skF_8 > #skF_4 > #skF_11 > #skF_14 > #skF_9
%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('#skF_20',type,
'#skF_20': $i ).
tff(v1_funct_1,type,
v1_funct_1: $i > $o ).
tff(v2_funct_1,type,
v2_funct_1: $i > $o ).
tff('#skF_18',type,
'#skF_18': $i > $i ).
tff('#skF_17',type,
'#skF_17': $i ).
tff(r2_hidden,type,
r2_hidden: ( $i * $i ) > $o ).
tff(k7_relat_1,type,
k7_relat_1: ( $i * $i ) > $i ).
tff(v1_partfun1,type,
v1_partfun1: ( $i * $i * $i ) > $o ).
tff(k1_xboole_0,type,
k1_xboole_0: $i ).
tff(m2_lattice4,type,
m2_lattice4: ( $i * $i ) > $o ).
tff('#skF_22',type,
'#skF_22': $i > $i ).
tff(l1_lattices,type,
l1_lattices: $i > $o ).
tff('#skF_19',type,
'#skF_19': $i ).
tff('#skF_7',type,
'#skF_7': $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_15',type,
'#skF_15': $i > $i ).
tff('#skF_12',type,
'#skF_12': ( $i * $i ) > $i ).
tff('#skF_5',type,
'#skF_5': $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('#skF_6',type,
'#skF_6': $i ).
tff('#skF_13',type,
'#skF_13': $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(u1_lattices,type,
u1_lattices: $i > $i ).
tff(v5_lattices,type,
v5_lattices: $i > $o ).
tff('#skF_21',type,
'#skF_21': $i ).
tff(v10_lattices,type,
v10_lattices: $i > $o ).
tff(r1_lattice2,type,
r1_lattice2: ( $i * $i * $i ) > $o ).
tff(k1_zfmisc_1,type,
k1_zfmisc_1: $i > $i ).
tff(k1_realset1,type,
k1_realset1: ( $i * $i ) > $i ).
tff(l1_struct_0,type,
l1_struct_0: $i > $o ).
tff('#skF_8',type,
'#skF_8': $i ).
tff(v1_binop_1,type,
v1_binop_1: ( $i * $i ) > $o ).
tff(v2_binop_1,type,
v2_binop_1: ( $i * $i ) > $o ).
tff(v1_relat_1,type,
v1_relat_1: $i > $o ).
tff(k2_zfmisc_1,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': $i ).
tff('#skF_11',type,
'#skF_11': $i > $i ).
tff('#skF_14',type,
'#skF_14': $i > $i ).
tff(v8_lattices,type,
v8_lattices: $i > $o ).
tff(u1_struct_0,type,
u1_struct_0: $i > $i ).
tff(v1_xboole_0,type,
v1_xboole_0: $i > $o ).
tff('#skF_9',type,
'#skF_9': ( $i * $i ) > $i ).
tff(v3_binop_1,type,
v3_binop_1: ( $i * $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(f_73,negated_conjecture,
~ ! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ! [B] :
( ( ~ v1_xboole_0(B)
& m2_lattice4(B,A) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_funct_2(C,k2_zfmisc_1(B,B),B)
& m2_relset_1(C,k2_zfmisc_1(B,B),B) )
=> ! [D] :
( ( v1_funct_1(D)
& v1_funct_2(D,k2_zfmisc_1(B,B),B)
& m2_relset_1(D,k2_zfmisc_1(B,B),B) )
=> ( ( ( C = k1_realset1(u2_lattices(A),B) )
& ( D = k1_realset1(u1_lattices(A),B) ) )
=> ( v1_binop_1(C,B)
& v2_binop_1(C,B)
& v1_binop_1(D,B)
& v2_binop_1(D,B)
& r1_lattice2(B,C,D)
& r1_lattice2(B,D,C) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t62_filter_2) ).
tff(f_166,axiom,
! [A] :
( l3_lattices(A)
=> ( l1_lattices(A)
& l2_lattices(A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
tff(f_190,axiom,
! [A] :
( l1_lattices(A)
=> ( v1_funct_1(u1_lattices(A))
& v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& m2_relset_1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_lattices) ).
tff(f_104,axiom,
! [A] :
( l3_lattices(A)
=> ( ( ~ v3_struct_0(A)
& v10_lattices(A) )
=> ( ~ v3_struct_0(A)
& v4_lattices(A)
& v5_lattices(A)
& v6_lattices(A)
& v7_lattices(A)
& v8_lattices(A)
& v9_lattices(A) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_lattices) ).
tff(f_334,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v7_lattices(A)
& l1_lattices(A) )
=> ( v1_relat_1(u1_lattices(A))
& v1_funct_1(u1_lattices(A))
& v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v2_binop_1(u1_lattices(A),u1_struct_0(A))
& v1_partfun1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_lattice2) ).
tff(f_178,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ! [B] :
( m2_lattice4(B,A)
=> m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_lattice4) ).
tff(f_160,axiom,
! [A] :
( l2_lattices(A)
=> l1_struct_0(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_lattices) ).
tff(f_451,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_479,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_78,axiom,
! [A,B] :
( r2_hidden(A,B)
=> ~ r2_hidden(B,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
tff(f_237,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l1_struct_0(A) )
=> ~ v1_xboole_0(u1_struct_0(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
tff(f_308,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v6_lattices(A)
& l1_lattices(A) )
=> ( v1_relat_1(u1_lattices(A))
& v1_funct_1(u1_lattices(A))
& v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v1_binop_1(u1_lattices(A),u1_struct_0(A))
& v1_partfun1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_lattice2) ).
tff(f_198,axiom,
! [A] :
( l2_lattices(A)
=> ( v1_funct_1(u2_lattices(A))
& v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& m2_relset_1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u2_lattices) ).
tff(f_283,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v5_lattices(A)
& l2_lattices(A) )
=> ( v1_relat_1(u2_lattices(A))
& v1_funct_1(u2_lattices(A))
& v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v2_binop_1(u2_lattices(A),u1_struct_0(A))
& v1_partfun1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_lattice2) ).
tff(f_258,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v4_lattices(A)
& l2_lattices(A) )
=> ( v1_relat_1(u2_lattices(A))
& v1_funct_1(u2_lattices(A))
& v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v1_binop_1(u2_lattices(A),u1_struct_0(A))
& v1_partfun1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_lattice2) ).
tff(f_441,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B] :
( ( ~ v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(A)) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_funct_2(C,k2_zfmisc_1(A,A),A)
& m2_relset_1(C,k2_zfmisc_1(A,A),A) )
=> ! [D] :
( ( v1_funct_1(D)
& v1_funct_2(D,k2_zfmisc_1(B,B),B)
& m2_relset_1(D,k2_zfmisc_1(B,B),B) )
=> ( ( D = k1_realset1(C,B) )
=> ( ( v1_binop_1(C,A)
=> v1_binop_1(D,B) )
& ( v3_binop_1(C,A)
=> v3_binop_1(D,B) )
& ( v2_binop_1(C,A)
=> v2_binop_1(D,B) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_filter_2) ).
tff(f_464,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> r1_lattice2(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t40_lattice2) ).
tff(f_524,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B] :
( ( ~ v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(A)) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_funct_2(C,k2_zfmisc_1(A,A),A)
& m2_relset_1(C,k2_zfmisc_1(A,A),A) )
=> ! [D] :
( ( v1_funct_1(D)
& v1_funct_2(D,k2_zfmisc_1(A,A),A)
& m2_relset_1(D,k2_zfmisc_1(A,A),A) )
=> ! [E] :
( ( v1_funct_1(E)
& v1_funct_2(E,k2_zfmisc_1(B,B),B)
& m2_relset_1(E,k2_zfmisc_1(B,B),B) )
=> ! [F] :
( ( v1_funct_1(F)
& v1_funct_2(F,k2_zfmisc_1(B,B),B)
& m2_relset_1(F,k2_zfmisc_1(B,B),B) )
=> ( ( ( E = k1_realset1(C,B) )
& ( F = k1_realset1(D,B) )
& r1_lattice2(A,C,D) )
=> r1_lattice2(B,E,F) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_filter_2) ).
tff(f_531,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_473,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> r1_lattice2(u1_struct_0(A),u1_lattices(A),u2_lattices(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t41_lattice2) ).
tff(c_24,plain,
l3_lattices('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_314,plain,
! [A_177] :
( l1_lattices(A_177)
| ~ l3_lattices(A_177) ),
inference(cnfTransformation,[status(thm)],[f_166]) ).
tff(c_321,plain,
l1_lattices('#skF_1'),
inference(resolution,[status(thm)],[c_24,c_314]) ).
tff(c_90,plain,
! [A_35] :
( m2_relset_1(u1_lattices(A_35),k2_zfmisc_1(u1_struct_0(A_35),u1_struct_0(A_35)),u1_struct_0(A_35))
| ~ l1_lattices(A_35) ),
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_28,plain,
~ v3_struct_0('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_26,plain,
v10_lattices('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_38,plain,
! [A_15] :
( v7_lattices(A_15)
| ~ v10_lattices(A_15)
| v3_struct_0(A_15)
| ~ l3_lattices(A_15) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_170,plain,
! [A_60] :
( v2_binop_1(u1_lattices(A_60),u1_struct_0(A_60))
| ~ l1_lattices(A_60)
| ~ v7_lattices(A_60)
| v3_struct_0(A_60) ),
inference(cnfTransformation,[status(thm)],[f_334]) ).
tff(c_20,plain,
m2_lattice4('#skF_2','#skF_1'),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_86,plain,
! [B_31,A_29] :
( m1_subset_1(B_31,k1_zfmisc_1(u1_struct_0(A_29)))
| ~ m2_lattice4(B_31,A_29)
| ~ l3_lattices(A_29)
| ~ v10_lattices(A_29)
| v3_struct_0(A_29) ),
inference(cnfTransformation,[status(thm)],[f_178]) ).
tff(c_328,plain,
! [A_179] :
( l2_lattices(A_179)
| ~ l3_lattices(A_179) ),
inference(cnfTransformation,[status(thm)],[f_166]) ).
tff(c_335,plain,
l2_lattices('#skF_1'),
inference(resolution,[status(thm)],[c_24,c_328]) ).
tff(c_338,plain,
! [A_181] :
( l1_struct_0(A_181)
| ~ l2_lattices(A_181) ),
inference(cnfTransformation,[status(thm)],[f_160]) ).
tff(c_349,plain,
l1_struct_0('#skF_1'),
inference(resolution,[status(thm)],[c_335,c_338]) ).
tff(c_22,plain,
~ v1_xboole_0('#skF_2'),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_232,plain,
! [A_91,B_92] :
( r2_hidden(A_91,B_92)
| v1_xboole_0(B_92)
| ~ m1_subset_1(A_91,B_92) ),
inference(cnfTransformation,[status(thm)],[f_451]) ).
tff(c_16375,plain,
! [B_2524,A_2525] :
( m1_subset_1(B_2524,k1_zfmisc_1(u1_struct_0(A_2525)))
| ~ m2_lattice4(B_2524,A_2525)
| ~ l3_lattices(A_2525)
| ~ v10_lattices(A_2525)
| v3_struct_0(A_2525) ),
inference(cnfTransformation,[status(thm)],[f_178]) ).
tff(c_242,plain,
! [A_97,C_99,B_98] :
( m1_subset_1(A_97,C_99)
| ~ m1_subset_1(B_98,k1_zfmisc_1(C_99))
| ~ r2_hidden(A_97,B_98) ),
inference(cnfTransformation,[status(thm)],[f_479]) ).
tff(c_17198,plain,
! [A_2634,A_2635,B_2636] :
( m1_subset_1(A_2634,u1_struct_0(A_2635))
| ~ r2_hidden(A_2634,B_2636)
| ~ m2_lattice4(B_2636,A_2635)
| ~ l3_lattices(A_2635)
| ~ v10_lattices(A_2635)
| v3_struct_0(A_2635) ),
inference(resolution,[status(thm)],[c_16375,c_242]) ).
tff(c_17679,plain,
! [A_2699,A_2700,B_2701] :
( m1_subset_1(A_2699,u1_struct_0(A_2700))
| ~ m2_lattice4(B_2701,A_2700)
| ~ l3_lattices(A_2700)
| ~ v10_lattices(A_2700)
| v3_struct_0(A_2700)
| v1_xboole_0(B_2701)
| ~ m1_subset_1(A_2699,B_2701) ),
inference(resolution,[status(thm)],[c_232,c_17198]) ).
tff(c_17685,plain,
! [A_2699] :
( m1_subset_1(A_2699,u1_struct_0('#skF_1'))
| ~ l3_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1')
| v1_xboole_0('#skF_2')
| ~ m1_subset_1(A_2699,'#skF_2') ),
inference(resolution,[status(thm)],[c_20,c_17679]) ).
tff(c_17690,plain,
! [A_2699] :
( m1_subset_1(A_2699,u1_struct_0('#skF_1'))
| v3_struct_0('#skF_1')
| v1_xboole_0('#skF_2')
| ~ m1_subset_1(A_2699,'#skF_2') ),
inference(demodulation,[status(thm),theory(equality)],[c_26,c_24,c_17685]) ).
tff(c_17692,plain,
! [A_2702] :
( m1_subset_1(A_2702,u1_struct_0('#skF_1'))
| ~ m1_subset_1(A_2702,'#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_22,c_28,c_17690]) ).
tff(c_15828,plain,
! [A_2412,B_2413] :
( r2_hidden(A_2412,B_2413)
| v1_xboole_0(B_2413)
| ~ m1_subset_1(A_2412,B_2413) ),
inference(cnfTransformation,[status(thm)],[f_451]) ).
tff(c_30,plain,
! [B_13,A_12] :
( ~ r2_hidden(B_13,A_12)
| ~ r2_hidden(A_12,B_13) ),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_15841,plain,
! [B_2415,A_2416] :
( ~ r2_hidden(B_2415,A_2416)
| v1_xboole_0(B_2415)
| ~ m1_subset_1(A_2416,B_2415) ),
inference(resolution,[status(thm)],[c_15828,c_30]) ).
tff(c_15845,plain,
! [A_91,B_92] :
( v1_xboole_0(A_91)
| ~ m1_subset_1(B_92,A_91)
| v1_xboole_0(B_92)
| ~ m1_subset_1(A_91,B_92) ),
inference(resolution,[status(thm)],[c_232,c_15841]) ).
tff(c_17722,plain,
! [A_2702] :
( v1_xboole_0(u1_struct_0('#skF_1'))
| v1_xboole_0(A_2702)
| ~ m1_subset_1(u1_struct_0('#skF_1'),A_2702)
| ~ m1_subset_1(A_2702,'#skF_2') ),
inference(resolution,[status(thm)],[c_17692,c_15845]) ).
tff(c_17740,plain,
v1_xboole_0(u1_struct_0('#skF_1')),
inference(splitLeft,[status(thm)],[c_17722]) ).
tff(c_122,plain,
! [A_49] :
( ~ v1_xboole_0(u1_struct_0(A_49))
| ~ l1_struct_0(A_49)
| v3_struct_0(A_49) ),
inference(cnfTransformation,[status(thm)],[f_237]) ).
tff(c_17754,plain,
( ~ l1_struct_0('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_17740,c_122]) ).
tff(c_17773,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_349,c_17754]) ).
tff(c_17775,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28,c_17773]) ).
tff(c_17777,plain,
~ v1_xboole_0(u1_struct_0('#skF_1')),
inference(splitRight,[status(thm)],[c_17722]) ).
tff(c_92,plain,
! [A_35] :
( v1_funct_2(u1_lattices(A_35),k2_zfmisc_1(u1_struct_0(A_35),u1_struct_0(A_35)),u1_struct_0(A_35))
| ~ l1_lattices(A_35) ),
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_94,plain,
! [A_35] :
( v1_funct_1(u1_lattices(A_35))
| ~ l1_lattices(A_35) ),
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_40,plain,
! [A_15] :
( v6_lattices(A_15)
| ~ v10_lattices(A_15)
| v3_struct_0(A_15)
| ~ l3_lattices(A_15) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_158,plain,
! [A_57] :
( v1_binop_1(u1_lattices(A_57),u1_struct_0(A_57))
| ~ l1_lattices(A_57)
| ~ v6_lattices(A_57)
| v3_struct_0(A_57) ),
inference(cnfTransformation,[status(thm)],[f_308]) ).
tff(c_13578,plain,
! [B_2195,A_2196] :
( m1_subset_1(B_2195,k1_zfmisc_1(u1_struct_0(A_2196)))
| ~ m2_lattice4(B_2195,A_2196)
| ~ l3_lattices(A_2196)
| ~ v10_lattices(A_2196)
| v3_struct_0(A_2196) ),
inference(cnfTransformation,[status(thm)],[f_178]) ).
tff(c_14448,plain,
! [A_2302,A_2303,B_2304] :
( m1_subset_1(A_2302,u1_struct_0(A_2303))
| ~ r2_hidden(A_2302,B_2304)
| ~ m2_lattice4(B_2304,A_2303)
| ~ l3_lattices(A_2303)
| ~ v10_lattices(A_2303)
| v3_struct_0(A_2303) ),
inference(resolution,[status(thm)],[c_13578,c_242]) ).
tff(c_15260,plain,
! [A_2373,A_2374,B_2375] :
( m1_subset_1(A_2373,u1_struct_0(A_2374))
| ~ m2_lattice4(B_2375,A_2374)
| ~ l3_lattices(A_2374)
| ~ v10_lattices(A_2374)
| v3_struct_0(A_2374)
| v1_xboole_0(B_2375)
| ~ m1_subset_1(A_2373,B_2375) ),
inference(resolution,[status(thm)],[c_232,c_14448]) ).
tff(c_15266,plain,
! [A_2373] :
( m1_subset_1(A_2373,u1_struct_0('#skF_1'))
| ~ l3_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1')
| v1_xboole_0('#skF_2')
| ~ m1_subset_1(A_2373,'#skF_2') ),
inference(resolution,[status(thm)],[c_20,c_15260]) ).
tff(c_15271,plain,
! [A_2373] :
( m1_subset_1(A_2373,u1_struct_0('#skF_1'))
| v3_struct_0('#skF_1')
| v1_xboole_0('#skF_2')
| ~ m1_subset_1(A_2373,'#skF_2') ),
inference(demodulation,[status(thm),theory(equality)],[c_26,c_24,c_15266]) ).
tff(c_15273,plain,
! [A_2376] :
( m1_subset_1(A_2376,u1_struct_0('#skF_1'))
| ~ m1_subset_1(A_2376,'#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_22,c_28,c_15271]) ).
tff(c_13011,plain,
! [A_2075,B_2076] :
( r2_hidden(A_2075,B_2076)
| v1_xboole_0(B_2076)
| ~ m1_subset_1(A_2075,B_2076) ),
inference(cnfTransformation,[status(thm)],[f_451]) ).
tff(c_13025,plain,
! [B_2080,A_2081] :
( ~ r2_hidden(B_2080,A_2081)
| v1_xboole_0(B_2080)
| ~ m1_subset_1(A_2081,B_2080) ),
inference(resolution,[status(thm)],[c_13011,c_30]) ).
tff(c_13029,plain,
! [A_91,B_92] :
( v1_xboole_0(A_91)
| ~ m1_subset_1(B_92,A_91)
| v1_xboole_0(B_92)
| ~ m1_subset_1(A_91,B_92) ),
inference(resolution,[status(thm)],[c_232,c_13025]) ).
tff(c_15303,plain,
! [A_2376] :
( v1_xboole_0(u1_struct_0('#skF_1'))
| v1_xboole_0(A_2376)
| ~ m1_subset_1(u1_struct_0('#skF_1'),A_2376)
| ~ m1_subset_1(A_2376,'#skF_2') ),
inference(resolution,[status(thm)],[c_15273,c_13029]) ).
tff(c_15381,plain,
v1_xboole_0(u1_struct_0('#skF_1')),
inference(splitLeft,[status(thm)],[c_15303]) ).
tff(c_15396,plain,
( ~ l1_struct_0('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_15381,c_122]) ).
tff(c_15415,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_349,c_15396]) ).
tff(c_15417,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28,c_15415]) ).
tff(c_15419,plain,
~ v1_xboole_0(u1_struct_0('#skF_1')),
inference(splitRight,[status(thm)],[c_15303]) ).
tff(c_98,plain,
! [A_36] :
( m2_relset_1(u2_lattices(A_36),k2_zfmisc_1(u1_struct_0(A_36),u1_struct_0(A_36)),u1_struct_0(A_36))
| ~ l2_lattices(A_36) ),
inference(cnfTransformation,[status(thm)],[f_198]) ).
tff(c_100,plain,
! [A_36] :
( v1_funct_2(u2_lattices(A_36),k2_zfmisc_1(u1_struct_0(A_36),u1_struct_0(A_36)),u1_struct_0(A_36))
| ~ l2_lattices(A_36) ),
inference(cnfTransformation,[status(thm)],[f_198]) ).
tff(c_42,plain,
! [A_15] :
( v5_lattices(A_15)
| ~ v10_lattices(A_15)
| v3_struct_0(A_15)
| ~ l3_lattices(A_15) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_144,plain,
! [A_54] :
( v2_binop_1(u2_lattices(A_54),u1_struct_0(A_54))
| ~ l2_lattices(A_54)
| ~ v5_lattices(A_54)
| v3_struct_0(A_54) ),
inference(cnfTransformation,[status(thm)],[f_283]) ).
tff(c_102,plain,
! [A_36] :
( v1_funct_1(u2_lattices(A_36))
| ~ l2_lattices(A_36) ),
inference(cnfTransformation,[status(thm)],[f_198]) ).
tff(c_44,plain,
! [A_15] :
( v4_lattices(A_15)
| ~ v10_lattices(A_15)
| v3_struct_0(A_15)
| ~ l3_lattices(A_15) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_130,plain,
! [A_51] :
( v1_binop_1(u2_lattices(A_51),u1_struct_0(A_51))
| ~ l2_lattices(A_51)
| ~ v4_lattices(A_51)
| v3_struct_0(A_51) ),
inference(cnfTransformation,[status(thm)],[f_258]) ).
tff(c_18,plain,
v1_funct_1('#skF_3'),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_6,plain,
k1_realset1(u2_lattices('#skF_1'),'#skF_2') = '#skF_3',
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_16,plain,
v1_funct_2('#skF_3',k2_zfmisc_1('#skF_2','#skF_2'),'#skF_2'),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_14,plain,
m2_relset_1('#skF_3',k2_zfmisc_1('#skF_2','#skF_2'),'#skF_2'),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_3071,plain,
! [C_700,B_701,A_702] :
( v2_binop_1(k1_realset1(C_700,B_701),B_701)
| ~ v2_binop_1(C_700,A_702)
| ~ m2_relset_1(k1_realset1(C_700,B_701),k2_zfmisc_1(B_701,B_701),B_701)
| ~ v1_funct_2(k1_realset1(C_700,B_701),k2_zfmisc_1(B_701,B_701),B_701)
| ~ v1_funct_1(k1_realset1(C_700,B_701))
| ~ m2_relset_1(C_700,k2_zfmisc_1(A_702,A_702),A_702)
| ~ v1_funct_2(C_700,k2_zfmisc_1(A_702,A_702),A_702)
| ~ v1_funct_1(C_700)
| ~ m1_subset_1(B_701,k1_zfmisc_1(A_702))
| v1_xboole_0(B_701)
| v1_xboole_0(A_702) ),
inference(cnfTransformation,[status(thm)],[f_441]) ).
tff(c_3075,plain,
! [A_702] :
( v2_binop_1(k1_realset1(u2_lattices('#skF_1'),'#skF_2'),'#skF_2')
| ~ v2_binop_1(u2_lattices('#skF_1'),A_702)
| ~ m2_relset_1(k1_realset1(u2_lattices('#skF_1'),'#skF_2'),k2_zfmisc_1('#skF_2','#skF_2'),'#skF_2')
| ~ v1_funct_2('#skF_3',k2_zfmisc_1('#skF_2','#skF_2'),'#skF_2')
| ~ v1_funct_1(k1_realset1(u2_lattices('#skF_1'),'#skF_2'))
| ~ m2_relset_1(u2_lattices('#skF_1'),k2_zfmisc_1(A_702,A_702),A_702)
| ~ v1_funct_2(u2_lattices('#skF_1'),k2_zfmisc_1(A_702,A_702),A_702)
| ~ v1_funct_1(u2_lattices('#skF_1'))
| ~ m1_subset_1('#skF_2',k1_zfmisc_1(A_702))
| v1_xboole_0('#skF_2')
| v1_xboole_0(A_702) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_3071]) ).
tff(c_3080,plain,
! [A_702] :
( v2_binop_1('#skF_3','#skF_2')
| ~ v2_binop_1(u2_lattices('#skF_1'),A_702)
| ~ m2_relset_1(u2_lattices('#skF_1'),k2_zfmisc_1(A_702,A_702),A_702)
| ~ v1_funct_2(u2_lattices('#skF_1'),k2_zfmisc_1(A_702,A_702),A_702)
| ~ v1_funct_1(u2_lattices('#skF_1'))
| ~ m1_subset_1('#skF_2',k1_zfmisc_1(A_702))
| v1_xboole_0('#skF_2')
| v1_xboole_0(A_702) ),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_6,c_16,c_14,c_6,c_6,c_3075]) ).
tff(c_3081,plain,
! [A_702] :
( v2_binop_1('#skF_3','#skF_2')
| ~ v2_binop_1(u2_lattices('#skF_1'),A_702)
| ~ m2_relset_1(u2_lattices('#skF_1'),k2_zfmisc_1(A_702,A_702),A_702)
| ~ v1_funct_2(u2_lattices('#skF_1'),k2_zfmisc_1(A_702,A_702),A_702)
| ~ v1_funct_1(u2_lattices('#skF_1'))
| ~ m1_subset_1('#skF_2',k1_zfmisc_1(A_702))
| v1_xboole_0(A_702) ),
inference(negUnitSimplification,[status(thm)],[c_22,c_3080]) ).
tff(c_3090,plain,
~ v1_funct_1(u2_lattices('#skF_1')),
inference(splitLeft,[status(thm)],[c_3081]) ).
tff(c_3093,plain,
~ l2_lattices('#skF_1'),
inference(resolution,[status(thm)],[c_102,c_3090]) ).
tff(c_3097,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_335,c_3093]) ).
tff(c_3099,plain,
v1_funct_1(u2_lattices('#skF_1')),
inference(splitRight,[status(thm)],[c_3081]) ).
tff(c_12,plain,
v1_funct_1('#skF_4'),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_4,plain,
k1_realset1(u1_lattices('#skF_1'),'#skF_2') = '#skF_4',
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_10,plain,
v1_funct_2('#skF_4',k2_zfmisc_1('#skF_2','#skF_2'),'#skF_2'),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_8,plain,
m2_relset_1('#skF_4',k2_zfmisc_1('#skF_2','#skF_2'),'#skF_2'),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_3129,plain,
! [C_706,B_707,A_708] :
( v3_binop_1(k1_realset1(C_706,B_707),B_707)
| ~ v3_binop_1(C_706,A_708)
| ~ m2_relset_1(k1_realset1(C_706,B_707),k2_zfmisc_1(B_707,B_707),B_707)
| ~ v1_funct_2(k1_realset1(C_706,B_707),k2_zfmisc_1(B_707,B_707),B_707)
| ~ v1_funct_1(k1_realset1(C_706,B_707))
| ~ m2_relset_1(C_706,k2_zfmisc_1(A_708,A_708),A_708)
| ~ v1_funct_2(C_706,k2_zfmisc_1(A_708,A_708),A_708)
| ~ v1_funct_1(C_706)
| ~ m1_subset_1(B_707,k1_zfmisc_1(A_708))
| v1_xboole_0(B_707)
| v1_xboole_0(A_708) ),
inference(cnfTransformation,[status(thm)],[f_441]) ).
tff(c_3131,plain,
! [A_708] :
( v3_binop_1(k1_realset1(u1_lattices('#skF_1'),'#skF_2'),'#skF_2')
| ~ v3_binop_1(u1_lattices('#skF_1'),A_708)
| ~ m2_relset_1(k1_realset1(u1_lattices('#skF_1'),'#skF_2'),k2_zfmisc_1('#skF_2','#skF_2'),'#skF_2')
| ~ v1_funct_2('#skF_4',k2_zfmisc_1('#skF_2','#skF_2'),'#skF_2')
| ~ v1_funct_1(k1_realset1(u1_lattices('#skF_1'),'#skF_2'))
| ~ m2_relset_1(u1_lattices('#skF_1'),k2_zfmisc_1(A_708,A_708),A_708)
| ~ v1_funct_2(u1_lattices('#skF_1'),k2_zfmisc_1(A_708,A_708),A_708)
| ~ v1_funct_1(u1_lattices('#skF_1'))
| ~ m1_subset_1('#skF_2',k1_zfmisc_1(A_708))
| v1_xboole_0('#skF_2')
| v1_xboole_0(A_708) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_3129]) ).
tff(c_3135,plain,
! [A_708] :
( v3_binop_1('#skF_4','#skF_2')
| ~ v3_binop_1(u1_lattices('#skF_1'),A_708)
| ~ m2_relset_1(u1_lattices('#skF_1'),k2_zfmisc_1(A_708,A_708),A_708)
| ~ v1_funct_2(u1_lattices('#skF_1'),k2_zfmisc_1(A_708,A_708),A_708)
| ~ v1_funct_1(u1_lattices('#skF_1'))
| ~ m1_subset_1('#skF_2',k1_zfmisc_1(A_708))
| v1_xboole_0('#skF_2')
| v1_xboole_0(A_708) ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_4,c_10,c_8,c_4,c_4,c_3131]) ).
tff(c_3136,plain,
! [A_708] :
( v3_binop_1('#skF_4','#skF_2')
| ~ v3_binop_1(u1_lattices('#skF_1'),A_708)
| ~ m2_relset_1(u1_lattices('#skF_1'),k2_zfmisc_1(A_708,A_708),A_708)
| ~ v1_funct_2(u1_lattices('#skF_1'),k2_zfmisc_1(A_708,A_708),A_708)
| ~ v1_funct_1(u1_lattices('#skF_1'))
| ~ m1_subset_1('#skF_2',k1_zfmisc_1(A_708))
| v1_xboole_0(A_708) ),
inference(negUnitSimplification,[status(thm)],[c_22,c_3135]) ).
tff(c_3450,plain,
~ v1_funct_1(u1_lattices('#skF_1')),
inference(splitLeft,[status(thm)],[c_3136]) ).
tff(c_3453,plain,
~ l1_lattices('#skF_1'),
inference(resolution,[status(thm)],[c_94,c_3450]) ).
tff(c_3457,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_321,c_3453]) ).
tff(c_3459,plain,
v1_funct_1(u1_lattices('#skF_1')),
inference(splitRight,[status(thm)],[c_3136]) ).
tff(c_238,plain,
! [A_95] :
( r1_lattice2(u1_struct_0(A_95),u2_lattices(A_95),u1_lattices(A_95))
| ~ l3_lattices(A_95)
| ~ v10_lattices(A_95)
| v3_struct_0(A_95) ),
inference(cnfTransformation,[status(thm)],[f_464]) ).
tff(c_3400,plain,
! [B_733,C_734,D_735,A_736] :
( r1_lattice2(B_733,k1_realset1(C_734,B_733),k1_realset1(D_735,B_733))
| ~ r1_lattice2(A_736,C_734,D_735)
| ~ m2_relset_1(k1_realset1(D_735,B_733),k2_zfmisc_1(B_733,B_733),B_733)
| ~ v1_funct_2(k1_realset1(D_735,B_733),k2_zfmisc_1(B_733,B_733),B_733)
| ~ v1_funct_1(k1_realset1(D_735,B_733))
| ~ m2_relset_1(k1_realset1(C_734,B_733),k2_zfmisc_1(B_733,B_733),B_733)
| ~ v1_funct_2(k1_realset1(C_734,B_733),k2_zfmisc_1(B_733,B_733),B_733)
| ~ v1_funct_1(k1_realset1(C_734,B_733))
| ~ m2_relset_1(D_735,k2_zfmisc_1(A_736,A_736),A_736)
| ~ v1_funct_2(D_735,k2_zfmisc_1(A_736,A_736),A_736)
| ~ v1_funct_1(D_735)
| ~ m2_relset_1(C_734,k2_zfmisc_1(A_736,A_736),A_736)
| ~ v1_funct_2(C_734,k2_zfmisc_1(A_736,A_736),A_736)
| ~ v1_funct_1(C_734)
| ~ m1_subset_1(B_733,k1_zfmisc_1(A_736))
| v1_xboole_0(B_733)
| v1_xboole_0(A_736) ),
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_3670,plain,
! [B_793,A_794] :
( r1_lattice2(B_793,k1_realset1(u2_lattices(A_794),B_793),k1_realset1(u1_lattices(A_794),B_793))
| ~ m2_relset_1(k1_realset1(u1_lattices(A_794),B_793),k2_zfmisc_1(B_793,B_793),B_793)
| ~ v1_funct_2(k1_realset1(u1_lattices(A_794),B_793),k2_zfmisc_1(B_793,B_793),B_793)
| ~ v1_funct_1(k1_realset1(u1_lattices(A_794),B_793))
| ~ m2_relset_1(k1_realset1(u2_lattices(A_794),B_793),k2_zfmisc_1(B_793,B_793),B_793)
| ~ v1_funct_2(k1_realset1(u2_lattices(A_794),B_793),k2_zfmisc_1(B_793,B_793),B_793)
| ~ v1_funct_1(k1_realset1(u2_lattices(A_794),B_793))
| ~ m2_relset_1(u1_lattices(A_794),k2_zfmisc_1(u1_struct_0(A_794),u1_struct_0(A_794)),u1_struct_0(A_794))
| ~ v1_funct_2(u1_lattices(A_794),k2_zfmisc_1(u1_struct_0(A_794),u1_struct_0(A_794)),u1_struct_0(A_794))
| ~ v1_funct_1(u1_lattices(A_794))
| ~ m2_relset_1(u2_lattices(A_794),k2_zfmisc_1(u1_struct_0(A_794),u1_struct_0(A_794)),u1_struct_0(A_794))
| ~ v1_funct_2(u2_lattices(A_794),k2_zfmisc_1(u1_struct_0(A_794),u1_struct_0(A_794)),u1_struct_0(A_794))
| ~ v1_funct_1(u2_lattices(A_794))
| ~ m1_subset_1(B_793,k1_zfmisc_1(u1_struct_0(A_794)))
| v1_xboole_0(B_793)
| v1_xboole_0(u1_struct_0(A_794))
| ~ l3_lattices(A_794)
| ~ v10_lattices(A_794)
| v3_struct_0(A_794) ),
inference(resolution,[status(thm)],[c_238,c_3400]) ).
tff(c_3672,plain,
( r1_lattice2('#skF_2',k1_realset1(u2_lattices('#skF_1'),'#skF_2'),k1_realset1(u1_lattices('#skF_1'),'#skF_2'))
| ~ m2_relset_1(k1_realset1(u1_lattices('#skF_1'),'#skF_2'),k2_zfmisc_1('#skF_2','#skF_2'),'#skF_2')
| ~ v1_funct_2(k1_realset1(u1_lattices('#skF_1'),'#skF_2'),k2_zfmisc_1('#skF_2','#skF_2'),'#skF_2')
| ~ v1_funct_1(k1_realset1(u1_lattices('#skF_1'),'#skF_2'))
| ~ m2_relset_1(k1_realset1(u2_lattices('#skF_1'),'#skF_2'),k2_zfmisc_1('#skF_2','#skF_2'),'#skF_2')
| ~ v1_funct_2('#skF_3',k2_zfmisc_1('#skF_2','#skF_2'),'#skF_2')
| ~ v1_funct_1(k1_realset1(u2_lattices('#skF_1'),'#skF_2'))
| ~ m2_relset_1(u1_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ v1_funct_2(u1_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ v1_funct_1(u1_lattices('#skF_1'))
| ~ m2_relset_1(u2_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ v1_funct_2(u2_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ v1_funct_1(u2_lattices('#skF_1'))
| ~ m1_subset_1('#skF_2',k1_zfmisc_1(u1_struct_0('#skF_1')))
| v1_xboole_0('#skF_2')
| v1_xboole_0(u1_struct_0('#skF_1'))
| ~ l3_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_3670]) ).
tff(c_3674,plain,
( r1_lattice2('#skF_2','#skF_3','#skF_4')
| ~ m2_relset_1(u1_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ v1_funct_2(u1_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ m2_relset_1(u2_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ v1_funct_2(u2_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ m1_subset_1('#skF_2',k1_zfmisc_1(u1_struct_0('#skF_1')))
| v1_xboole_0('#skF_2')
| v1_xboole_0(u1_struct_0('#skF_1'))
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_26,c_24,c_3099,c_3459,c_18,c_6,c_16,c_14,c_6,c_12,c_4,c_10,c_4,c_8,c_4,c_6,c_4,c_3672]) ).
tff(c_3675,plain,
( r1_lattice2('#skF_2','#skF_3','#skF_4')
| ~ m2_relset_1(u1_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ v1_funct_2(u1_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ m2_relset_1(u2_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ v1_funct_2(u2_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ m1_subset_1('#skF_2',k1_zfmisc_1(u1_struct_0('#skF_1')))
| v1_xboole_0(u1_struct_0('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_28,c_22,c_3674]) ).
tff(c_3765,plain,
~ m1_subset_1('#skF_2',k1_zfmisc_1(u1_struct_0('#skF_1'))),
inference(splitLeft,[status(thm)],[c_3675]) ).
tff(c_3768,plain,
( ~ m2_lattice4('#skF_2','#skF_1')
| ~ l3_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_86,c_3765]) ).
tff(c_3774,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_26,c_24,c_20,c_3768]) ).
tff(c_3776,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28,c_3774]) ).
tff(c_3778,plain,
m1_subset_1('#skF_2',k1_zfmisc_1(u1_struct_0('#skF_1'))),
inference(splitRight,[status(thm)],[c_3675]) ).
tff(c_246,plain,
! [C_165,B_164,A_163] :
( ~ v1_xboole_0(C_165)
| ~ m1_subset_1(B_164,k1_zfmisc_1(C_165))
| ~ r2_hidden(A_163,B_164) ),
inference(cnfTransformation,[status(thm)],[f_531]) ).
tff(c_3797,plain,
! [A_163] :
( ~ v1_xboole_0(u1_struct_0('#skF_1'))
| ~ r2_hidden(A_163,'#skF_2') ),
inference(resolution,[status(thm)],[c_3778,c_246]) ).
tff(c_3809,plain,
~ v1_xboole_0(u1_struct_0('#skF_1')),
inference(splitLeft,[status(thm)],[c_3797]) ).
tff(c_2,plain,
( ~ r1_lattice2('#skF_2','#skF_4','#skF_3')
| ~ r1_lattice2('#skF_2','#skF_3','#skF_4')
| ~ v2_binop_1('#skF_4','#skF_2')
| ~ v1_binop_1('#skF_4','#skF_2')
| ~ v2_binop_1('#skF_3','#skF_2')
| ~ v1_binop_1('#skF_3','#skF_2') ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_889,plain,
~ v1_binop_1('#skF_3','#skF_2'),
inference(splitLeft,[status(thm)],[c_2]) ).
tff(c_3262,plain,
! [C_713,B_714,A_715] :
( v1_binop_1(k1_realset1(C_713,B_714),B_714)
| ~ v1_binop_1(C_713,A_715)
| ~ m2_relset_1(k1_realset1(C_713,B_714),k2_zfmisc_1(B_714,B_714),B_714)
| ~ v1_funct_2(k1_realset1(C_713,B_714),k2_zfmisc_1(B_714,B_714),B_714)
| ~ v1_funct_1(k1_realset1(C_713,B_714))
| ~ m2_relset_1(C_713,k2_zfmisc_1(A_715,A_715),A_715)
| ~ v1_funct_2(C_713,k2_zfmisc_1(A_715,A_715),A_715)
| ~ v1_funct_1(C_713)
| ~ m1_subset_1(B_714,k1_zfmisc_1(A_715))
| v1_xboole_0(B_714)
| v1_xboole_0(A_715) ),
inference(cnfTransformation,[status(thm)],[f_441]) ).
tff(c_3266,plain,
! [A_715] :
( v1_binop_1(k1_realset1(u2_lattices('#skF_1'),'#skF_2'),'#skF_2')
| ~ v1_binop_1(u2_lattices('#skF_1'),A_715)
| ~ m2_relset_1(k1_realset1(u2_lattices('#skF_1'),'#skF_2'),k2_zfmisc_1('#skF_2','#skF_2'),'#skF_2')
| ~ v1_funct_2('#skF_3',k2_zfmisc_1('#skF_2','#skF_2'),'#skF_2')
| ~ v1_funct_1(k1_realset1(u2_lattices('#skF_1'),'#skF_2'))
| ~ m2_relset_1(u2_lattices('#skF_1'),k2_zfmisc_1(A_715,A_715),A_715)
| ~ v1_funct_2(u2_lattices('#skF_1'),k2_zfmisc_1(A_715,A_715),A_715)
| ~ v1_funct_1(u2_lattices('#skF_1'))
| ~ m1_subset_1('#skF_2',k1_zfmisc_1(A_715))
| v1_xboole_0('#skF_2')
| v1_xboole_0(A_715) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_3262]) ).
tff(c_3271,plain,
! [A_715] :
( v1_binop_1('#skF_3','#skF_2')
| ~ v1_binop_1(u2_lattices('#skF_1'),A_715)
| ~ m2_relset_1(u2_lattices('#skF_1'),k2_zfmisc_1(A_715,A_715),A_715)
| ~ v1_funct_2(u2_lattices('#skF_1'),k2_zfmisc_1(A_715,A_715),A_715)
| ~ m1_subset_1('#skF_2',k1_zfmisc_1(A_715))
| v1_xboole_0('#skF_2')
| v1_xboole_0(A_715) ),
inference(demodulation,[status(thm),theory(equality)],[c_3099,c_18,c_6,c_16,c_14,c_6,c_6,c_3266]) ).
tff(c_3317,plain,
! [A_718] :
( ~ v1_binop_1(u2_lattices('#skF_1'),A_718)
| ~ m2_relset_1(u2_lattices('#skF_1'),k2_zfmisc_1(A_718,A_718),A_718)
| ~ v1_funct_2(u2_lattices('#skF_1'),k2_zfmisc_1(A_718,A_718),A_718)
| ~ m1_subset_1('#skF_2',k1_zfmisc_1(A_718))
| v1_xboole_0(A_718) ),
inference(negUnitSimplification,[status(thm)],[c_22,c_889,c_3271]) ).
tff(c_3321,plain,
( ~ v1_binop_1(u2_lattices('#skF_1'),u1_struct_0('#skF_1'))
| ~ m2_relset_1(u2_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ m1_subset_1('#skF_2',k1_zfmisc_1(u1_struct_0('#skF_1')))
| v1_xboole_0(u1_struct_0('#skF_1'))
| ~ l2_lattices('#skF_1') ),
inference(resolution,[status(thm)],[c_100,c_3317]) ).
tff(c_3324,plain,
( ~ v1_binop_1(u2_lattices('#skF_1'),u1_struct_0('#skF_1'))
| ~ m2_relset_1(u2_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ m1_subset_1('#skF_2',k1_zfmisc_1(u1_struct_0('#skF_1')))
| v1_xboole_0(u1_struct_0('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_335,c_3321]) ).
tff(c_4075,plain,
( ~ v1_binop_1(u2_lattices('#skF_1'),u1_struct_0('#skF_1'))
| ~ m2_relset_1(u2_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| v1_xboole_0(u1_struct_0('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_3778,c_3324]) ).
tff(c_4076,plain,
( ~ v1_binop_1(u2_lattices('#skF_1'),u1_struct_0('#skF_1'))
| ~ m2_relset_1(u2_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_3809,c_4075]) ).
tff(c_4077,plain,
~ m2_relset_1(u2_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1')),
inference(splitLeft,[status(thm)],[c_4076]) ).
tff(c_4080,plain,
~ l2_lattices('#skF_1'),
inference(resolution,[status(thm)],[c_98,c_4077]) ).
tff(c_4087,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_335,c_4080]) ).
tff(c_4088,plain,
~ v1_binop_1(u2_lattices('#skF_1'),u1_struct_0('#skF_1')),
inference(splitRight,[status(thm)],[c_4076]) ).
tff(c_4092,plain,
( ~ l2_lattices('#skF_1')
| ~ v4_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_130,c_4088]) ).
tff(c_4095,plain,
( ~ v4_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_335,c_4092]) ).
tff(c_4096,plain,
~ v4_lattices('#skF_1'),
inference(negUnitSimplification,[status(thm)],[c_28,c_4095]) ).
tff(c_4099,plain,
( ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1')
| ~ l3_lattices('#skF_1') ),
inference(resolution,[status(thm)],[c_44,c_4096]) ).
tff(c_4102,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_26,c_4099]) ).
tff(c_4104,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28,c_4102]) ).
tff(c_4106,plain,
v1_xboole_0(u1_struct_0('#skF_1')),
inference(splitRight,[status(thm)],[c_3797]) ).
tff(c_4125,plain,
( ~ l1_struct_0('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_4106,c_122]) ).
tff(c_4139,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_349,c_4125]) ).
tff(c_4141,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28,c_4139]) ).
tff(c_4142,plain,
( ~ v2_binop_1('#skF_3','#skF_2')
| ~ v1_binop_1('#skF_4','#skF_2')
| ~ v2_binop_1('#skF_4','#skF_2')
| ~ r1_lattice2('#skF_2','#skF_3','#skF_4')
| ~ r1_lattice2('#skF_2','#skF_4','#skF_3') ),
inference(splitRight,[status(thm)],[c_2]) ).
tff(c_4154,plain,
~ r1_lattice2('#skF_2','#skF_4','#skF_3'),
inference(splitLeft,[status(thm)],[c_4142]) ).
tff(c_6353,plain,
! [C_1152,B_1153,A_1154] :
( v1_binop_1(k1_realset1(C_1152,B_1153),B_1153)
| ~ v1_binop_1(C_1152,A_1154)
| ~ m2_relset_1(k1_realset1(C_1152,B_1153),k2_zfmisc_1(B_1153,B_1153),B_1153)
| ~ v1_funct_2(k1_realset1(C_1152,B_1153),k2_zfmisc_1(B_1153,B_1153),B_1153)
| ~ v1_funct_1(k1_realset1(C_1152,B_1153))
| ~ m2_relset_1(C_1152,k2_zfmisc_1(A_1154,A_1154),A_1154)
| ~ v1_funct_2(C_1152,k2_zfmisc_1(A_1154,A_1154),A_1154)
| ~ v1_funct_1(C_1152)
| ~ m1_subset_1(B_1153,k1_zfmisc_1(A_1154))
| v1_xboole_0(B_1153)
| v1_xboole_0(A_1154) ),
inference(cnfTransformation,[status(thm)],[f_441]) ).
tff(c_6355,plain,
! [A_1154] :
( v1_binop_1(k1_realset1(u1_lattices('#skF_1'),'#skF_2'),'#skF_2')
| ~ v1_binop_1(u1_lattices('#skF_1'),A_1154)
| ~ m2_relset_1(k1_realset1(u1_lattices('#skF_1'),'#skF_2'),k2_zfmisc_1('#skF_2','#skF_2'),'#skF_2')
| ~ v1_funct_2('#skF_4',k2_zfmisc_1('#skF_2','#skF_2'),'#skF_2')
| ~ v1_funct_1(k1_realset1(u1_lattices('#skF_1'),'#skF_2'))
| ~ m2_relset_1(u1_lattices('#skF_1'),k2_zfmisc_1(A_1154,A_1154),A_1154)
| ~ v1_funct_2(u1_lattices('#skF_1'),k2_zfmisc_1(A_1154,A_1154),A_1154)
| ~ v1_funct_1(u1_lattices('#skF_1'))
| ~ m1_subset_1('#skF_2',k1_zfmisc_1(A_1154))
| v1_xboole_0('#skF_2')
| v1_xboole_0(A_1154) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_6353]) ).
tff(c_6359,plain,
! [A_1154] :
( v1_binop_1('#skF_4','#skF_2')
| ~ v1_binop_1(u1_lattices('#skF_1'),A_1154)
| ~ m2_relset_1(u1_lattices('#skF_1'),k2_zfmisc_1(A_1154,A_1154),A_1154)
| ~ v1_funct_2(u1_lattices('#skF_1'),k2_zfmisc_1(A_1154,A_1154),A_1154)
| ~ v1_funct_1(u1_lattices('#skF_1'))
| ~ m1_subset_1('#skF_2',k1_zfmisc_1(A_1154))
| v1_xboole_0('#skF_2')
| v1_xboole_0(A_1154) ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_4,c_10,c_8,c_4,c_4,c_6355]) ).
tff(c_6360,plain,
! [A_1154] :
( v1_binop_1('#skF_4','#skF_2')
| ~ v1_binop_1(u1_lattices('#skF_1'),A_1154)
| ~ m2_relset_1(u1_lattices('#skF_1'),k2_zfmisc_1(A_1154,A_1154),A_1154)
| ~ v1_funct_2(u1_lattices('#skF_1'),k2_zfmisc_1(A_1154,A_1154),A_1154)
| ~ v1_funct_1(u1_lattices('#skF_1'))
| ~ m1_subset_1('#skF_2',k1_zfmisc_1(A_1154))
| v1_xboole_0(A_1154) ),
inference(negUnitSimplification,[status(thm)],[c_22,c_6359]) ).
tff(c_6400,plain,
~ v1_funct_1(u1_lattices('#skF_1')),
inference(splitLeft,[status(thm)],[c_6360]) ).
tff(c_6403,plain,
~ l1_lattices('#skF_1'),
inference(resolution,[status(thm)],[c_94,c_6400]) ).
tff(c_6407,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_321,c_6403]) ).
tff(c_6409,plain,
v1_funct_1(u1_lattices('#skF_1')),
inference(splitRight,[status(thm)],[c_6360]) ).
tff(c_6438,plain,
! [C_1158,B_1159,A_1160] :
( v3_binop_1(k1_realset1(C_1158,B_1159),B_1159)
| ~ v3_binop_1(C_1158,A_1160)
| ~ m2_relset_1(k1_realset1(C_1158,B_1159),k2_zfmisc_1(B_1159,B_1159),B_1159)
| ~ v1_funct_2(k1_realset1(C_1158,B_1159),k2_zfmisc_1(B_1159,B_1159),B_1159)
| ~ v1_funct_1(k1_realset1(C_1158,B_1159))
| ~ m2_relset_1(C_1158,k2_zfmisc_1(A_1160,A_1160),A_1160)
| ~ v1_funct_2(C_1158,k2_zfmisc_1(A_1160,A_1160),A_1160)
| ~ v1_funct_1(C_1158)
| ~ m1_subset_1(B_1159,k1_zfmisc_1(A_1160))
| v1_xboole_0(B_1159)
| v1_xboole_0(A_1160) ),
inference(cnfTransformation,[status(thm)],[f_441]) ).
tff(c_6442,plain,
! [A_1160] :
( v3_binop_1(k1_realset1(u2_lattices('#skF_1'),'#skF_2'),'#skF_2')
| ~ v3_binop_1(u2_lattices('#skF_1'),A_1160)
| ~ m2_relset_1(k1_realset1(u2_lattices('#skF_1'),'#skF_2'),k2_zfmisc_1('#skF_2','#skF_2'),'#skF_2')
| ~ v1_funct_2('#skF_3',k2_zfmisc_1('#skF_2','#skF_2'),'#skF_2')
| ~ v1_funct_1(k1_realset1(u2_lattices('#skF_1'),'#skF_2'))
| ~ m2_relset_1(u2_lattices('#skF_1'),k2_zfmisc_1(A_1160,A_1160),A_1160)
| ~ v1_funct_2(u2_lattices('#skF_1'),k2_zfmisc_1(A_1160,A_1160),A_1160)
| ~ v1_funct_1(u2_lattices('#skF_1'))
| ~ m1_subset_1('#skF_2',k1_zfmisc_1(A_1160))
| v1_xboole_0('#skF_2')
| v1_xboole_0(A_1160) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_6438]) ).
tff(c_6447,plain,
! [A_1160] :
( v3_binop_1('#skF_3','#skF_2')
| ~ v3_binop_1(u2_lattices('#skF_1'),A_1160)
| ~ m2_relset_1(u2_lattices('#skF_1'),k2_zfmisc_1(A_1160,A_1160),A_1160)
| ~ v1_funct_2(u2_lattices('#skF_1'),k2_zfmisc_1(A_1160,A_1160),A_1160)
| ~ v1_funct_1(u2_lattices('#skF_1'))
| ~ m1_subset_1('#skF_2',k1_zfmisc_1(A_1160))
| v1_xboole_0('#skF_2')
| v1_xboole_0(A_1160) ),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_6,c_16,c_14,c_6,c_6,c_6442]) ).
tff(c_6448,plain,
! [A_1160] :
( v3_binop_1('#skF_3','#skF_2')
| ~ v3_binop_1(u2_lattices('#skF_1'),A_1160)
| ~ m2_relset_1(u2_lattices('#skF_1'),k2_zfmisc_1(A_1160,A_1160),A_1160)
| ~ v1_funct_2(u2_lattices('#skF_1'),k2_zfmisc_1(A_1160,A_1160),A_1160)
| ~ v1_funct_1(u2_lattices('#skF_1'))
| ~ m1_subset_1('#skF_2',k1_zfmisc_1(A_1160))
| v1_xboole_0(A_1160) ),
inference(negUnitSimplification,[status(thm)],[c_22,c_6447]) ).
tff(c_6622,plain,
~ v1_funct_1(u2_lattices('#skF_1')),
inference(splitLeft,[status(thm)],[c_6448]) ).
tff(c_6625,plain,
~ l2_lattices('#skF_1'),
inference(resolution,[status(thm)],[c_102,c_6622]) ).
tff(c_6629,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_335,c_6625]) ).
tff(c_6631,plain,
v1_funct_1(u2_lattices('#skF_1')),
inference(splitRight,[status(thm)],[c_6448]) ).
tff(c_240,plain,
! [A_96] :
( r1_lattice2(u1_struct_0(A_96),u1_lattices(A_96),u2_lattices(A_96))
| ~ l3_lattices(A_96)
| ~ v10_lattices(A_96)
| v3_struct_0(A_96) ),
inference(cnfTransformation,[status(thm)],[f_473]) ).
tff(c_6613,plain,
! [B_1197,C_1198,D_1199,A_1200] :
( r1_lattice2(B_1197,k1_realset1(C_1198,B_1197),k1_realset1(D_1199,B_1197))
| ~ r1_lattice2(A_1200,C_1198,D_1199)
| ~ m2_relset_1(k1_realset1(D_1199,B_1197),k2_zfmisc_1(B_1197,B_1197),B_1197)
| ~ v1_funct_2(k1_realset1(D_1199,B_1197),k2_zfmisc_1(B_1197,B_1197),B_1197)
| ~ v1_funct_1(k1_realset1(D_1199,B_1197))
| ~ m2_relset_1(k1_realset1(C_1198,B_1197),k2_zfmisc_1(B_1197,B_1197),B_1197)
| ~ v1_funct_2(k1_realset1(C_1198,B_1197),k2_zfmisc_1(B_1197,B_1197),B_1197)
| ~ v1_funct_1(k1_realset1(C_1198,B_1197))
| ~ m2_relset_1(D_1199,k2_zfmisc_1(A_1200,A_1200),A_1200)
| ~ v1_funct_2(D_1199,k2_zfmisc_1(A_1200,A_1200),A_1200)
| ~ v1_funct_1(D_1199)
| ~ m2_relset_1(C_1198,k2_zfmisc_1(A_1200,A_1200),A_1200)
| ~ v1_funct_2(C_1198,k2_zfmisc_1(A_1200,A_1200),A_1200)
| ~ v1_funct_1(C_1198)
| ~ m1_subset_1(B_1197,k1_zfmisc_1(A_1200))
| v1_xboole_0(B_1197)
| v1_xboole_0(A_1200) ),
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_6859,plain,
! [B_1242,A_1243] :
( r1_lattice2(B_1242,k1_realset1(u1_lattices(A_1243),B_1242),k1_realset1(u2_lattices(A_1243),B_1242))
| ~ m2_relset_1(k1_realset1(u2_lattices(A_1243),B_1242),k2_zfmisc_1(B_1242,B_1242),B_1242)
| ~ v1_funct_2(k1_realset1(u2_lattices(A_1243),B_1242),k2_zfmisc_1(B_1242,B_1242),B_1242)
| ~ v1_funct_1(k1_realset1(u2_lattices(A_1243),B_1242))
| ~ m2_relset_1(k1_realset1(u1_lattices(A_1243),B_1242),k2_zfmisc_1(B_1242,B_1242),B_1242)
| ~ v1_funct_2(k1_realset1(u1_lattices(A_1243),B_1242),k2_zfmisc_1(B_1242,B_1242),B_1242)
| ~ v1_funct_1(k1_realset1(u1_lattices(A_1243),B_1242))
| ~ m2_relset_1(u2_lattices(A_1243),k2_zfmisc_1(u1_struct_0(A_1243),u1_struct_0(A_1243)),u1_struct_0(A_1243))
| ~ v1_funct_2(u2_lattices(A_1243),k2_zfmisc_1(u1_struct_0(A_1243),u1_struct_0(A_1243)),u1_struct_0(A_1243))
| ~ v1_funct_1(u2_lattices(A_1243))
| ~ m2_relset_1(u1_lattices(A_1243),k2_zfmisc_1(u1_struct_0(A_1243),u1_struct_0(A_1243)),u1_struct_0(A_1243))
| ~ v1_funct_2(u1_lattices(A_1243),k2_zfmisc_1(u1_struct_0(A_1243),u1_struct_0(A_1243)),u1_struct_0(A_1243))
| ~ v1_funct_1(u1_lattices(A_1243))
| ~ m1_subset_1(B_1242,k1_zfmisc_1(u1_struct_0(A_1243)))
| v1_xboole_0(B_1242)
| v1_xboole_0(u1_struct_0(A_1243))
| ~ l3_lattices(A_1243)
| ~ v10_lattices(A_1243)
| v3_struct_0(A_1243) ),
inference(resolution,[status(thm)],[c_240,c_6613]) ).
tff(c_6861,plain,
( r1_lattice2('#skF_2',k1_realset1(u1_lattices('#skF_1'),'#skF_2'),k1_realset1(u2_lattices('#skF_1'),'#skF_2'))
| ~ m2_relset_1(k1_realset1(u2_lattices('#skF_1'),'#skF_2'),k2_zfmisc_1('#skF_2','#skF_2'),'#skF_2')
| ~ v1_funct_2('#skF_3',k2_zfmisc_1('#skF_2','#skF_2'),'#skF_2')
| ~ v1_funct_1(k1_realset1(u2_lattices('#skF_1'),'#skF_2'))
| ~ m2_relset_1(k1_realset1(u1_lattices('#skF_1'),'#skF_2'),k2_zfmisc_1('#skF_2','#skF_2'),'#skF_2')
| ~ v1_funct_2(k1_realset1(u1_lattices('#skF_1'),'#skF_2'),k2_zfmisc_1('#skF_2','#skF_2'),'#skF_2')
| ~ v1_funct_1(k1_realset1(u1_lattices('#skF_1'),'#skF_2'))
| ~ m2_relset_1(u2_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ v1_funct_2(u2_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ v1_funct_1(u2_lattices('#skF_1'))
| ~ m2_relset_1(u1_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ v1_funct_2(u1_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ v1_funct_1(u1_lattices('#skF_1'))
| ~ m1_subset_1('#skF_2',k1_zfmisc_1(u1_struct_0('#skF_1')))
| v1_xboole_0('#skF_2')
| v1_xboole_0(u1_struct_0('#skF_1'))
| ~ l3_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_6859]) ).
tff(c_6863,plain,
( r1_lattice2('#skF_2','#skF_4','#skF_3')
| ~ m2_relset_1(u2_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ v1_funct_2(u2_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ m2_relset_1(u1_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ v1_funct_2(u1_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ m1_subset_1('#skF_2',k1_zfmisc_1(u1_struct_0('#skF_1')))
| v1_xboole_0('#skF_2')
| v1_xboole_0(u1_struct_0('#skF_1'))
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_26,c_24,c_6409,c_6631,c_12,c_4,c_10,c_4,c_8,c_4,c_18,c_6,c_16,c_14,c_6,c_6,c_4,c_6861]) ).
tff(c_6864,plain,
( ~ m2_relset_1(u2_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ v1_funct_2(u2_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ m2_relset_1(u1_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ v1_funct_2(u1_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ m1_subset_1('#skF_2',k1_zfmisc_1(u1_struct_0('#skF_1')))
| v1_xboole_0(u1_struct_0('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_28,c_22,c_4154,c_6863]) ).
tff(c_6912,plain,
~ m1_subset_1('#skF_2',k1_zfmisc_1(u1_struct_0('#skF_1'))),
inference(splitLeft,[status(thm)],[c_6864]) ).
tff(c_6915,plain,
( ~ m2_lattice4('#skF_2','#skF_1')
| ~ l3_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_86,c_6912]) ).
tff(c_6921,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_26,c_24,c_20,c_6915]) ).
tff(c_6923,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28,c_6921]) ).
tff(c_6925,plain,
m1_subset_1('#skF_2',k1_zfmisc_1(u1_struct_0('#skF_1'))),
inference(splitRight,[status(thm)],[c_6864]) ).
tff(c_6944,plain,
! [A_163] :
( ~ v1_xboole_0(u1_struct_0('#skF_1'))
| ~ r2_hidden(A_163,'#skF_2') ),
inference(resolution,[status(thm)],[c_6925,c_246]) ).
tff(c_6956,plain,
~ v1_xboole_0(u1_struct_0('#skF_1')),
inference(splitLeft,[status(thm)],[c_6944]) ).
tff(c_6957,plain,
! [B_1251,A_1252] :
( r1_lattice2(B_1251,k1_realset1(u2_lattices(A_1252),B_1251),k1_realset1(u1_lattices(A_1252),B_1251))
| ~ m2_relset_1(k1_realset1(u1_lattices(A_1252),B_1251),k2_zfmisc_1(B_1251,B_1251),B_1251)
| ~ v1_funct_2(k1_realset1(u1_lattices(A_1252),B_1251),k2_zfmisc_1(B_1251,B_1251),B_1251)
| ~ v1_funct_1(k1_realset1(u1_lattices(A_1252),B_1251))
| ~ m2_relset_1(k1_realset1(u2_lattices(A_1252),B_1251),k2_zfmisc_1(B_1251,B_1251),B_1251)
| ~ v1_funct_2(k1_realset1(u2_lattices(A_1252),B_1251),k2_zfmisc_1(B_1251,B_1251),B_1251)
| ~ v1_funct_1(k1_realset1(u2_lattices(A_1252),B_1251))
| ~ m2_relset_1(u1_lattices(A_1252),k2_zfmisc_1(u1_struct_0(A_1252),u1_struct_0(A_1252)),u1_struct_0(A_1252))
| ~ v1_funct_2(u1_lattices(A_1252),k2_zfmisc_1(u1_struct_0(A_1252),u1_struct_0(A_1252)),u1_struct_0(A_1252))
| ~ v1_funct_1(u1_lattices(A_1252))
| ~ m2_relset_1(u2_lattices(A_1252),k2_zfmisc_1(u1_struct_0(A_1252),u1_struct_0(A_1252)),u1_struct_0(A_1252))
| ~ v1_funct_2(u2_lattices(A_1252),k2_zfmisc_1(u1_struct_0(A_1252),u1_struct_0(A_1252)),u1_struct_0(A_1252))
| ~ v1_funct_1(u2_lattices(A_1252))
| ~ m1_subset_1(B_1251,k1_zfmisc_1(u1_struct_0(A_1252)))
| v1_xboole_0(B_1251)
| v1_xboole_0(u1_struct_0(A_1252))
| ~ l3_lattices(A_1252)
| ~ v10_lattices(A_1252)
| v3_struct_0(A_1252) ),
inference(resolution,[status(thm)],[c_238,c_6613]) ).
tff(c_6959,plain,
( r1_lattice2('#skF_2',k1_realset1(u2_lattices('#skF_1'),'#skF_2'),k1_realset1(u1_lattices('#skF_1'),'#skF_2'))
| ~ m2_relset_1(k1_realset1(u1_lattices('#skF_1'),'#skF_2'),k2_zfmisc_1('#skF_2','#skF_2'),'#skF_2')
| ~ v1_funct_2(k1_realset1(u1_lattices('#skF_1'),'#skF_2'),k2_zfmisc_1('#skF_2','#skF_2'),'#skF_2')
| ~ v1_funct_1(k1_realset1(u1_lattices('#skF_1'),'#skF_2'))
| ~ m2_relset_1(k1_realset1(u2_lattices('#skF_1'),'#skF_2'),k2_zfmisc_1('#skF_2','#skF_2'),'#skF_2')
| ~ v1_funct_2('#skF_3',k2_zfmisc_1('#skF_2','#skF_2'),'#skF_2')
| ~ v1_funct_1(k1_realset1(u2_lattices('#skF_1'),'#skF_2'))
| ~ m2_relset_1(u1_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ v1_funct_2(u1_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ v1_funct_1(u1_lattices('#skF_1'))
| ~ m2_relset_1(u2_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ v1_funct_2(u2_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ v1_funct_1(u2_lattices('#skF_1'))
| ~ m1_subset_1('#skF_2',k1_zfmisc_1(u1_struct_0('#skF_1')))
| v1_xboole_0('#skF_2')
| v1_xboole_0(u1_struct_0('#skF_1'))
| ~ l3_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_6957]) ).
tff(c_6961,plain,
( r1_lattice2('#skF_2','#skF_3','#skF_4')
| ~ m2_relset_1(u1_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ v1_funct_2(u1_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ m2_relset_1(u2_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ v1_funct_2(u2_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| v1_xboole_0('#skF_2')
| v1_xboole_0(u1_struct_0('#skF_1'))
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_26,c_24,c_6925,c_6631,c_6409,c_18,c_6,c_16,c_14,c_6,c_12,c_4,c_10,c_4,c_8,c_4,c_6,c_4,c_6959]) ).
tff(c_6962,plain,
( r1_lattice2('#skF_2','#skF_3','#skF_4')
| ~ m2_relset_1(u1_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ v1_funct_2(u1_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ m2_relset_1(u2_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ v1_funct_2(u2_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| v1_xboole_0(u1_struct_0('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_28,c_22,c_6961]) ).
tff(c_7201,plain,
( r1_lattice2('#skF_2','#skF_3','#skF_4')
| ~ m2_relset_1(u1_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ v1_funct_2(u1_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ m2_relset_1(u2_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ v1_funct_2(u2_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_6956,c_6962]) ).
tff(c_7202,plain,
~ v1_funct_2(u2_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1')),
inference(splitLeft,[status(thm)],[c_7201]) ).
tff(c_7205,plain,
~ l2_lattices('#skF_1'),
inference(resolution,[status(thm)],[c_100,c_7202]) ).
tff(c_7209,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_335,c_7205]) ).
tff(c_7210,plain,
( ~ m2_relset_1(u2_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ v1_funct_2(u1_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ m2_relset_1(u1_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| r1_lattice2('#skF_2','#skF_3','#skF_4') ),
inference(splitRight,[status(thm)],[c_7201]) ).
tff(c_7221,plain,
~ m2_relset_1(u1_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1')),
inference(splitLeft,[status(thm)],[c_7210]) ).
tff(c_7224,plain,
~ l1_lattices('#skF_1'),
inference(resolution,[status(thm)],[c_90,c_7221]) ).
tff(c_7231,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_321,c_7224]) ).
tff(c_7232,plain,
( ~ v1_funct_2(u1_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ m2_relset_1(u2_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| r1_lattice2('#skF_2','#skF_3','#skF_4') ),
inference(splitRight,[status(thm)],[c_7210]) ).
tff(c_7252,plain,
~ m2_relset_1(u2_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1')),
inference(splitLeft,[status(thm)],[c_7232]) ).
tff(c_7255,plain,
~ l2_lattices('#skF_1'),
inference(resolution,[status(thm)],[c_98,c_7252]) ).
tff(c_7262,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_335,c_7255]) ).
tff(c_7264,plain,
m2_relset_1(u2_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1')),
inference(splitRight,[status(thm)],[c_7232]) ).
tff(c_7211,plain,
v1_funct_2(u2_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1')),
inference(splitRight,[status(thm)],[c_7201]) ).
tff(c_7233,plain,
m2_relset_1(u1_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1')),
inference(splitRight,[status(thm)],[c_7210]) ).
tff(c_6924,plain,
( ~ v1_funct_2(u1_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ m2_relset_1(u1_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ v1_funct_2(u2_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ m2_relset_1(u2_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| v1_xboole_0(u1_struct_0('#skF_1')) ),
inference(splitRight,[status(thm)],[c_6864]) ).
tff(c_7283,plain,
( ~ v1_funct_2(u1_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| v1_xboole_0(u1_struct_0('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_7264,c_7211,c_7233,c_6924]) ).
tff(c_7284,plain,
~ v1_funct_2(u1_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_6956,c_7283]) ).
tff(c_7287,plain,
~ l1_lattices('#skF_1'),
inference(resolution,[status(thm)],[c_92,c_7284]) ).
tff(c_7291,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_321,c_7287]) ).
tff(c_7293,plain,
v1_xboole_0(u1_struct_0('#skF_1')),
inference(splitRight,[status(thm)],[c_6944]) ).
tff(c_7311,plain,
( ~ l1_struct_0('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_7293,c_122]) ).
tff(c_7325,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_349,c_7311]) ).
tff(c_7327,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28,c_7325]) ).
tff(c_7328,plain,
( ~ r1_lattice2('#skF_2','#skF_3','#skF_4')
| ~ v2_binop_1('#skF_4','#skF_2')
| ~ v1_binop_1('#skF_4','#skF_2')
| ~ v2_binop_1('#skF_3','#skF_2') ),
inference(splitRight,[status(thm)],[c_4142]) ).
tff(c_7393,plain,
~ v2_binop_1('#skF_3','#skF_2'),
inference(splitLeft,[status(thm)],[c_7328]) ).
tff(c_9349,plain,
! [C_1592,B_1593,A_1594] :
( v2_binop_1(k1_realset1(C_1592,B_1593),B_1593)
| ~ v2_binop_1(C_1592,A_1594)
| ~ m2_relset_1(k1_realset1(C_1592,B_1593),k2_zfmisc_1(B_1593,B_1593),B_1593)
| ~ v1_funct_2(k1_realset1(C_1592,B_1593),k2_zfmisc_1(B_1593,B_1593),B_1593)
| ~ v1_funct_1(k1_realset1(C_1592,B_1593))
| ~ m2_relset_1(C_1592,k2_zfmisc_1(A_1594,A_1594),A_1594)
| ~ v1_funct_2(C_1592,k2_zfmisc_1(A_1594,A_1594),A_1594)
| ~ v1_funct_1(C_1592)
| ~ m1_subset_1(B_1593,k1_zfmisc_1(A_1594))
| v1_xboole_0(B_1593)
| v1_xboole_0(A_1594) ),
inference(cnfTransformation,[status(thm)],[f_441]) ).
tff(c_9353,plain,
! [A_1594] :
( v2_binop_1(k1_realset1(u2_lattices('#skF_1'),'#skF_2'),'#skF_2')
| ~ v2_binop_1(u2_lattices('#skF_1'),A_1594)
| ~ m2_relset_1(k1_realset1(u2_lattices('#skF_1'),'#skF_2'),k2_zfmisc_1('#skF_2','#skF_2'),'#skF_2')
| ~ v1_funct_2('#skF_3',k2_zfmisc_1('#skF_2','#skF_2'),'#skF_2')
| ~ v1_funct_1(k1_realset1(u2_lattices('#skF_1'),'#skF_2'))
| ~ m2_relset_1(u2_lattices('#skF_1'),k2_zfmisc_1(A_1594,A_1594),A_1594)
| ~ v1_funct_2(u2_lattices('#skF_1'),k2_zfmisc_1(A_1594,A_1594),A_1594)
| ~ v1_funct_1(u2_lattices('#skF_1'))
| ~ m1_subset_1('#skF_2',k1_zfmisc_1(A_1594))
| v1_xboole_0('#skF_2')
| v1_xboole_0(A_1594) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_9349]) ).
tff(c_9358,plain,
! [A_1594] :
( v2_binop_1('#skF_3','#skF_2')
| ~ v2_binop_1(u2_lattices('#skF_1'),A_1594)
| ~ m2_relset_1(u2_lattices('#skF_1'),k2_zfmisc_1(A_1594,A_1594),A_1594)
| ~ v1_funct_2(u2_lattices('#skF_1'),k2_zfmisc_1(A_1594,A_1594),A_1594)
| ~ v1_funct_1(u2_lattices('#skF_1'))
| ~ m1_subset_1('#skF_2',k1_zfmisc_1(A_1594))
| v1_xboole_0('#skF_2')
| v1_xboole_0(A_1594) ),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_6,c_16,c_14,c_6,c_6,c_9353]) ).
tff(c_9359,plain,
! [A_1594] :
( ~ v2_binop_1(u2_lattices('#skF_1'),A_1594)
| ~ m2_relset_1(u2_lattices('#skF_1'),k2_zfmisc_1(A_1594,A_1594),A_1594)
| ~ v1_funct_2(u2_lattices('#skF_1'),k2_zfmisc_1(A_1594,A_1594),A_1594)
| ~ v1_funct_1(u2_lattices('#skF_1'))
| ~ m1_subset_1('#skF_2',k1_zfmisc_1(A_1594))
| v1_xboole_0(A_1594) ),
inference(negUnitSimplification,[status(thm)],[c_22,c_7393,c_9358]) ).
tff(c_9405,plain,
~ v1_funct_1(u2_lattices('#skF_1')),
inference(splitLeft,[status(thm)],[c_9359]) ).
tff(c_9408,plain,
~ l2_lattices('#skF_1'),
inference(resolution,[status(thm)],[c_102,c_9405]) ).
tff(c_9412,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_335,c_9408]) ).
tff(c_9414,plain,
v1_funct_1(u2_lattices('#skF_1')),
inference(splitRight,[status(thm)],[c_9359]) ).
tff(c_9493,plain,
! [C_1600,B_1601,A_1602] :
( v3_binop_1(k1_realset1(C_1600,B_1601),B_1601)
| ~ v3_binop_1(C_1600,A_1602)
| ~ m2_relset_1(k1_realset1(C_1600,B_1601),k2_zfmisc_1(B_1601,B_1601),B_1601)
| ~ v1_funct_2(k1_realset1(C_1600,B_1601),k2_zfmisc_1(B_1601,B_1601),B_1601)
| ~ v1_funct_1(k1_realset1(C_1600,B_1601))
| ~ m2_relset_1(C_1600,k2_zfmisc_1(A_1602,A_1602),A_1602)
| ~ v1_funct_2(C_1600,k2_zfmisc_1(A_1602,A_1602),A_1602)
| ~ v1_funct_1(C_1600)
| ~ m1_subset_1(B_1601,k1_zfmisc_1(A_1602))
| v1_xboole_0(B_1601)
| v1_xboole_0(A_1602) ),
inference(cnfTransformation,[status(thm)],[f_441]) ).
tff(c_9495,plain,
! [A_1602] :
( v3_binop_1(k1_realset1(u1_lattices('#skF_1'),'#skF_2'),'#skF_2')
| ~ v3_binop_1(u1_lattices('#skF_1'),A_1602)
| ~ m2_relset_1(k1_realset1(u1_lattices('#skF_1'),'#skF_2'),k2_zfmisc_1('#skF_2','#skF_2'),'#skF_2')
| ~ v1_funct_2('#skF_4',k2_zfmisc_1('#skF_2','#skF_2'),'#skF_2')
| ~ v1_funct_1(k1_realset1(u1_lattices('#skF_1'),'#skF_2'))
| ~ m2_relset_1(u1_lattices('#skF_1'),k2_zfmisc_1(A_1602,A_1602),A_1602)
| ~ v1_funct_2(u1_lattices('#skF_1'),k2_zfmisc_1(A_1602,A_1602),A_1602)
| ~ v1_funct_1(u1_lattices('#skF_1'))
| ~ m1_subset_1('#skF_2',k1_zfmisc_1(A_1602))
| v1_xboole_0('#skF_2')
| v1_xboole_0(A_1602) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_9493]) ).
tff(c_9499,plain,
! [A_1602] :
( v3_binop_1('#skF_4','#skF_2')
| ~ v3_binop_1(u1_lattices('#skF_1'),A_1602)
| ~ m2_relset_1(u1_lattices('#skF_1'),k2_zfmisc_1(A_1602,A_1602),A_1602)
| ~ v1_funct_2(u1_lattices('#skF_1'),k2_zfmisc_1(A_1602,A_1602),A_1602)
| ~ v1_funct_1(u1_lattices('#skF_1'))
| ~ m1_subset_1('#skF_2',k1_zfmisc_1(A_1602))
| v1_xboole_0('#skF_2')
| v1_xboole_0(A_1602) ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_4,c_10,c_8,c_4,c_4,c_9495]) ).
tff(c_9500,plain,
! [A_1602] :
( v3_binop_1('#skF_4','#skF_2')
| ~ v3_binop_1(u1_lattices('#skF_1'),A_1602)
| ~ m2_relset_1(u1_lattices('#skF_1'),k2_zfmisc_1(A_1602,A_1602),A_1602)
| ~ v1_funct_2(u1_lattices('#skF_1'),k2_zfmisc_1(A_1602,A_1602),A_1602)
| ~ v1_funct_1(u1_lattices('#skF_1'))
| ~ m1_subset_1('#skF_2',k1_zfmisc_1(A_1602))
| v1_xboole_0(A_1602) ),
inference(negUnitSimplification,[status(thm)],[c_22,c_9499]) ).
tff(c_9654,plain,
~ v1_funct_1(u1_lattices('#skF_1')),
inference(splitLeft,[status(thm)],[c_9500]) ).
tff(c_9657,plain,
~ l1_lattices('#skF_1'),
inference(resolution,[status(thm)],[c_94,c_9654]) ).
tff(c_9661,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_321,c_9657]) ).
tff(c_9663,plain,
v1_funct_1(u1_lattices('#skF_1')),
inference(splitRight,[status(thm)],[c_9500]) ).
tff(c_9676,plain,
! [B_1626,C_1627,D_1628,A_1629] :
( r1_lattice2(B_1626,k1_realset1(C_1627,B_1626),k1_realset1(D_1628,B_1626))
| ~ r1_lattice2(A_1629,C_1627,D_1628)
| ~ m2_relset_1(k1_realset1(D_1628,B_1626),k2_zfmisc_1(B_1626,B_1626),B_1626)
| ~ v1_funct_2(k1_realset1(D_1628,B_1626),k2_zfmisc_1(B_1626,B_1626),B_1626)
| ~ v1_funct_1(k1_realset1(D_1628,B_1626))
| ~ m2_relset_1(k1_realset1(C_1627,B_1626),k2_zfmisc_1(B_1626,B_1626),B_1626)
| ~ v1_funct_2(k1_realset1(C_1627,B_1626),k2_zfmisc_1(B_1626,B_1626),B_1626)
| ~ v1_funct_1(k1_realset1(C_1627,B_1626))
| ~ m2_relset_1(D_1628,k2_zfmisc_1(A_1629,A_1629),A_1629)
| ~ v1_funct_2(D_1628,k2_zfmisc_1(A_1629,A_1629),A_1629)
| ~ v1_funct_1(D_1628)
| ~ m2_relset_1(C_1627,k2_zfmisc_1(A_1629,A_1629),A_1629)
| ~ v1_funct_2(C_1627,k2_zfmisc_1(A_1629,A_1629),A_1629)
| ~ v1_funct_1(C_1627)
| ~ m1_subset_1(B_1626,k1_zfmisc_1(A_1629))
| v1_xboole_0(B_1626)
| v1_xboole_0(A_1629) ),
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_10143,plain,
! [B_1713,A_1714] :
( r1_lattice2(B_1713,k1_realset1(u2_lattices(A_1714),B_1713),k1_realset1(u1_lattices(A_1714),B_1713))
| ~ m2_relset_1(k1_realset1(u1_lattices(A_1714),B_1713),k2_zfmisc_1(B_1713,B_1713),B_1713)
| ~ v1_funct_2(k1_realset1(u1_lattices(A_1714),B_1713),k2_zfmisc_1(B_1713,B_1713),B_1713)
| ~ v1_funct_1(k1_realset1(u1_lattices(A_1714),B_1713))
| ~ m2_relset_1(k1_realset1(u2_lattices(A_1714),B_1713),k2_zfmisc_1(B_1713,B_1713),B_1713)
| ~ v1_funct_2(k1_realset1(u2_lattices(A_1714),B_1713),k2_zfmisc_1(B_1713,B_1713),B_1713)
| ~ v1_funct_1(k1_realset1(u2_lattices(A_1714),B_1713))
| ~ m2_relset_1(u1_lattices(A_1714),k2_zfmisc_1(u1_struct_0(A_1714),u1_struct_0(A_1714)),u1_struct_0(A_1714))
| ~ v1_funct_2(u1_lattices(A_1714),k2_zfmisc_1(u1_struct_0(A_1714),u1_struct_0(A_1714)),u1_struct_0(A_1714))
| ~ v1_funct_1(u1_lattices(A_1714))
| ~ m2_relset_1(u2_lattices(A_1714),k2_zfmisc_1(u1_struct_0(A_1714),u1_struct_0(A_1714)),u1_struct_0(A_1714))
| ~ v1_funct_2(u2_lattices(A_1714),k2_zfmisc_1(u1_struct_0(A_1714),u1_struct_0(A_1714)),u1_struct_0(A_1714))
| ~ v1_funct_1(u2_lattices(A_1714))
| ~ m1_subset_1(B_1713,k1_zfmisc_1(u1_struct_0(A_1714)))
| v1_xboole_0(B_1713)
| v1_xboole_0(u1_struct_0(A_1714))
| ~ l3_lattices(A_1714)
| ~ v10_lattices(A_1714)
| v3_struct_0(A_1714) ),
inference(resolution,[status(thm)],[c_238,c_9676]) ).
tff(c_10145,plain,
( r1_lattice2('#skF_2',k1_realset1(u2_lattices('#skF_1'),'#skF_2'),k1_realset1(u1_lattices('#skF_1'),'#skF_2'))
| ~ m2_relset_1(k1_realset1(u1_lattices('#skF_1'),'#skF_2'),k2_zfmisc_1('#skF_2','#skF_2'),'#skF_2')
| ~ v1_funct_2(k1_realset1(u1_lattices('#skF_1'),'#skF_2'),k2_zfmisc_1('#skF_2','#skF_2'),'#skF_2')
| ~ v1_funct_1(k1_realset1(u1_lattices('#skF_1'),'#skF_2'))
| ~ m2_relset_1(k1_realset1(u2_lattices('#skF_1'),'#skF_2'),k2_zfmisc_1('#skF_2','#skF_2'),'#skF_2')
| ~ v1_funct_2('#skF_3',k2_zfmisc_1('#skF_2','#skF_2'),'#skF_2')
| ~ v1_funct_1(k1_realset1(u2_lattices('#skF_1'),'#skF_2'))
| ~ m2_relset_1(u1_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ v1_funct_2(u1_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ v1_funct_1(u1_lattices('#skF_1'))
| ~ m2_relset_1(u2_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ v1_funct_2(u2_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ v1_funct_1(u2_lattices('#skF_1'))
| ~ m1_subset_1('#skF_2',k1_zfmisc_1(u1_struct_0('#skF_1')))
| v1_xboole_0('#skF_2')
| v1_xboole_0(u1_struct_0('#skF_1'))
| ~ l3_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_10143]) ).
tff(c_10147,plain,
( r1_lattice2('#skF_2','#skF_3','#skF_4')
| ~ m2_relset_1(u1_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ v1_funct_2(u1_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ m2_relset_1(u2_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ v1_funct_2(u2_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ m1_subset_1('#skF_2',k1_zfmisc_1(u1_struct_0('#skF_1')))
| v1_xboole_0('#skF_2')
| v1_xboole_0(u1_struct_0('#skF_1'))
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_26,c_24,c_9414,c_9663,c_18,c_6,c_16,c_14,c_6,c_12,c_4,c_10,c_4,c_8,c_4,c_6,c_4,c_10145]) ).
tff(c_10148,plain,
( r1_lattice2('#skF_2','#skF_3','#skF_4')
| ~ m2_relset_1(u1_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ v1_funct_2(u1_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ m2_relset_1(u2_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ v1_funct_2(u2_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ m1_subset_1('#skF_2',k1_zfmisc_1(u1_struct_0('#skF_1')))
| v1_xboole_0(u1_struct_0('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_28,c_22,c_10147]) ).
tff(c_10186,plain,
~ m1_subset_1('#skF_2',k1_zfmisc_1(u1_struct_0('#skF_1'))),
inference(splitLeft,[status(thm)],[c_10148]) ).
tff(c_10189,plain,
( ~ m2_lattice4('#skF_2','#skF_1')
| ~ l3_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_86,c_10186]) ).
tff(c_10195,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_26,c_24,c_20,c_10189]) ).
tff(c_10197,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28,c_10195]) ).
tff(c_10199,plain,
m1_subset_1('#skF_2',k1_zfmisc_1(u1_struct_0('#skF_1'))),
inference(splitRight,[status(thm)],[c_10148]) ).
tff(c_10218,plain,
! [A_163] :
( ~ v1_xboole_0(u1_struct_0('#skF_1'))
| ~ r2_hidden(A_163,'#skF_2') ),
inference(resolution,[status(thm)],[c_10199,c_246]) ).
tff(c_10230,plain,
~ v1_xboole_0(u1_struct_0('#skF_1')),
inference(splitLeft,[status(thm)],[c_10218]) ).
tff(c_9928,plain,
! [A_1676] :
( ~ v2_binop_1(u2_lattices('#skF_1'),A_1676)
| ~ m2_relset_1(u2_lattices('#skF_1'),k2_zfmisc_1(A_1676,A_1676),A_1676)
| ~ v1_funct_2(u2_lattices('#skF_1'),k2_zfmisc_1(A_1676,A_1676),A_1676)
| ~ m1_subset_1('#skF_2',k1_zfmisc_1(A_1676))
| v1_xboole_0(A_1676) ),
inference(splitRight,[status(thm)],[c_9359]) ).
tff(c_9932,plain,
( ~ v2_binop_1(u2_lattices('#skF_1'),u1_struct_0('#skF_1'))
| ~ m2_relset_1(u2_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ m1_subset_1('#skF_2',k1_zfmisc_1(u1_struct_0('#skF_1')))
| v1_xboole_0(u1_struct_0('#skF_1'))
| ~ l2_lattices('#skF_1') ),
inference(resolution,[status(thm)],[c_100,c_9928]) ).
tff(c_9935,plain,
( ~ v2_binop_1(u2_lattices('#skF_1'),u1_struct_0('#skF_1'))
| ~ m2_relset_1(u2_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ m1_subset_1('#skF_2',k1_zfmisc_1(u1_struct_0('#skF_1')))
| v1_xboole_0(u1_struct_0('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_335,c_9932]) ).
tff(c_10428,plain,
( ~ v2_binop_1(u2_lattices('#skF_1'),u1_struct_0('#skF_1'))
| ~ m2_relset_1(u2_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| v1_xboole_0(u1_struct_0('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_10199,c_9935]) ).
tff(c_10429,plain,
( ~ v2_binop_1(u2_lattices('#skF_1'),u1_struct_0('#skF_1'))
| ~ m2_relset_1(u2_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_10230,c_10428]) ).
tff(c_10430,plain,
~ m2_relset_1(u2_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1')),
inference(splitLeft,[status(thm)],[c_10429]) ).
tff(c_10545,plain,
~ l2_lattices('#skF_1'),
inference(resolution,[status(thm)],[c_98,c_10430]) ).
tff(c_10552,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_335,c_10545]) ).
tff(c_10553,plain,
~ v2_binop_1(u2_lattices('#skF_1'),u1_struct_0('#skF_1')),
inference(splitRight,[status(thm)],[c_10429]) ).
tff(c_10557,plain,
( ~ l2_lattices('#skF_1')
| ~ v5_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_144,c_10553]) ).
tff(c_10560,plain,
( ~ v5_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_335,c_10557]) ).
tff(c_10561,plain,
~ v5_lattices('#skF_1'),
inference(negUnitSimplification,[status(thm)],[c_28,c_10560]) ).
tff(c_10564,plain,
( ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1')
| ~ l3_lattices('#skF_1') ),
inference(resolution,[status(thm)],[c_42,c_10561]) ).
tff(c_10567,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_26,c_10564]) ).
tff(c_10569,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28,c_10567]) ).
tff(c_10571,plain,
v1_xboole_0(u1_struct_0('#skF_1')),
inference(splitRight,[status(thm)],[c_10218]) ).
tff(c_10604,plain,
( ~ l1_struct_0('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_10571,c_122]) ).
tff(c_10622,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_349,c_10604]) ).
tff(c_10624,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28,c_10622]) ).
tff(c_10625,plain,
( ~ v1_binop_1('#skF_4','#skF_2')
| ~ v2_binop_1('#skF_4','#skF_2')
| ~ r1_lattice2('#skF_2','#skF_3','#skF_4') ),
inference(splitRight,[status(thm)],[c_7328]) ).
tff(c_10627,plain,
~ r1_lattice2('#skF_2','#skF_3','#skF_4'),
inference(splitLeft,[status(thm)],[c_10625]) ).
tff(c_12029,plain,
! [C_1949,B_1950,A_1951] :
( v3_binop_1(k1_realset1(C_1949,B_1950),B_1950)
| ~ v3_binop_1(C_1949,A_1951)
| ~ m2_relset_1(k1_realset1(C_1949,B_1950),k2_zfmisc_1(B_1950,B_1950),B_1950)
| ~ v1_funct_2(k1_realset1(C_1949,B_1950),k2_zfmisc_1(B_1950,B_1950),B_1950)
| ~ v1_funct_1(k1_realset1(C_1949,B_1950))
| ~ m2_relset_1(C_1949,k2_zfmisc_1(A_1951,A_1951),A_1951)
| ~ v1_funct_2(C_1949,k2_zfmisc_1(A_1951,A_1951),A_1951)
| ~ v1_funct_1(C_1949)
| ~ m1_subset_1(B_1950,k1_zfmisc_1(A_1951))
| v1_xboole_0(B_1950)
| v1_xboole_0(A_1951) ),
inference(cnfTransformation,[status(thm)],[f_441]) ).
tff(c_12033,plain,
! [A_1951] :
( v3_binop_1(k1_realset1(u2_lattices('#skF_1'),'#skF_2'),'#skF_2')
| ~ v3_binop_1(u2_lattices('#skF_1'),A_1951)
| ~ m2_relset_1(k1_realset1(u2_lattices('#skF_1'),'#skF_2'),k2_zfmisc_1('#skF_2','#skF_2'),'#skF_2')
| ~ v1_funct_2('#skF_3',k2_zfmisc_1('#skF_2','#skF_2'),'#skF_2')
| ~ v1_funct_1(k1_realset1(u2_lattices('#skF_1'),'#skF_2'))
| ~ m2_relset_1(u2_lattices('#skF_1'),k2_zfmisc_1(A_1951,A_1951),A_1951)
| ~ v1_funct_2(u2_lattices('#skF_1'),k2_zfmisc_1(A_1951,A_1951),A_1951)
| ~ v1_funct_1(u2_lattices('#skF_1'))
| ~ m1_subset_1('#skF_2',k1_zfmisc_1(A_1951))
| v1_xboole_0('#skF_2')
| v1_xboole_0(A_1951) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_12029]) ).
tff(c_12038,plain,
! [A_1951] :
( v3_binop_1('#skF_3','#skF_2')
| ~ v3_binop_1(u2_lattices('#skF_1'),A_1951)
| ~ m2_relset_1(u2_lattices('#skF_1'),k2_zfmisc_1(A_1951,A_1951),A_1951)
| ~ v1_funct_2(u2_lattices('#skF_1'),k2_zfmisc_1(A_1951,A_1951),A_1951)
| ~ v1_funct_1(u2_lattices('#skF_1'))
| ~ m1_subset_1('#skF_2',k1_zfmisc_1(A_1951))
| v1_xboole_0('#skF_2')
| v1_xboole_0(A_1951) ),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_6,c_16,c_14,c_6,c_6,c_12033]) ).
tff(c_12039,plain,
! [A_1951] :
( v3_binop_1('#skF_3','#skF_2')
| ~ v3_binop_1(u2_lattices('#skF_1'),A_1951)
| ~ m2_relset_1(u2_lattices('#skF_1'),k2_zfmisc_1(A_1951,A_1951),A_1951)
| ~ v1_funct_2(u2_lattices('#skF_1'),k2_zfmisc_1(A_1951,A_1951),A_1951)
| ~ v1_funct_1(u2_lattices('#skF_1'))
| ~ m1_subset_1('#skF_2',k1_zfmisc_1(A_1951))
| v1_xboole_0(A_1951) ),
inference(negUnitSimplification,[status(thm)],[c_22,c_12038]) ).
tff(c_12120,plain,
~ v1_funct_1(u2_lattices('#skF_1')),
inference(splitLeft,[status(thm)],[c_12039]) ).
tff(c_12123,plain,
~ l2_lattices('#skF_1'),
inference(resolution,[status(thm)],[c_102,c_12120]) ).
tff(c_12127,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_335,c_12123]) ).
tff(c_12129,plain,
v1_funct_1(u2_lattices('#skF_1')),
inference(splitRight,[status(thm)],[c_12039]) ).
tff(c_11798,plain,
! [C_1923,B_1924,A_1925] :
( v2_binop_1(k1_realset1(C_1923,B_1924),B_1924)
| ~ v2_binop_1(C_1923,A_1925)
| ~ m2_relset_1(k1_realset1(C_1923,B_1924),k2_zfmisc_1(B_1924,B_1924),B_1924)
| ~ v1_funct_2(k1_realset1(C_1923,B_1924),k2_zfmisc_1(B_1924,B_1924),B_1924)
| ~ v1_funct_1(k1_realset1(C_1923,B_1924))
| ~ m2_relset_1(C_1923,k2_zfmisc_1(A_1925,A_1925),A_1925)
| ~ v1_funct_2(C_1923,k2_zfmisc_1(A_1925,A_1925),A_1925)
| ~ v1_funct_1(C_1923)
| ~ m1_subset_1(B_1924,k1_zfmisc_1(A_1925))
| v1_xboole_0(B_1924)
| v1_xboole_0(A_1925) ),
inference(cnfTransformation,[status(thm)],[f_441]) ).
tff(c_11800,plain,
! [A_1925] :
( v2_binop_1(k1_realset1(u1_lattices('#skF_1'),'#skF_2'),'#skF_2')
| ~ v2_binop_1(u1_lattices('#skF_1'),A_1925)
| ~ m2_relset_1(k1_realset1(u1_lattices('#skF_1'),'#skF_2'),k2_zfmisc_1('#skF_2','#skF_2'),'#skF_2')
| ~ v1_funct_2('#skF_4',k2_zfmisc_1('#skF_2','#skF_2'),'#skF_2')
| ~ v1_funct_1(k1_realset1(u1_lattices('#skF_1'),'#skF_2'))
| ~ m2_relset_1(u1_lattices('#skF_1'),k2_zfmisc_1(A_1925,A_1925),A_1925)
| ~ v1_funct_2(u1_lattices('#skF_1'),k2_zfmisc_1(A_1925,A_1925),A_1925)
| ~ v1_funct_1(u1_lattices('#skF_1'))
| ~ m1_subset_1('#skF_2',k1_zfmisc_1(A_1925))
| v1_xboole_0('#skF_2')
| v1_xboole_0(A_1925) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_11798]) ).
tff(c_11804,plain,
! [A_1925] :
( v2_binop_1('#skF_4','#skF_2')
| ~ v2_binop_1(u1_lattices('#skF_1'),A_1925)
| ~ m2_relset_1(u1_lattices('#skF_1'),k2_zfmisc_1(A_1925,A_1925),A_1925)
| ~ v1_funct_2(u1_lattices('#skF_1'),k2_zfmisc_1(A_1925,A_1925),A_1925)
| ~ v1_funct_1(u1_lattices('#skF_1'))
| ~ m1_subset_1('#skF_2',k1_zfmisc_1(A_1925))
| v1_xboole_0('#skF_2')
| v1_xboole_0(A_1925) ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_4,c_10,c_8,c_4,c_4,c_11800]) ).
tff(c_11805,plain,
! [A_1925] :
( v2_binop_1('#skF_4','#skF_2')
| ~ v2_binop_1(u1_lattices('#skF_1'),A_1925)
| ~ m2_relset_1(u1_lattices('#skF_1'),k2_zfmisc_1(A_1925,A_1925),A_1925)
| ~ v1_funct_2(u1_lattices('#skF_1'),k2_zfmisc_1(A_1925,A_1925),A_1925)
| ~ v1_funct_1(u1_lattices('#skF_1'))
| ~ m1_subset_1('#skF_2',k1_zfmisc_1(A_1925))
| v1_xboole_0(A_1925) ),
inference(negUnitSimplification,[status(thm)],[c_22,c_11804]) ).
tff(c_11877,plain,
~ v1_funct_1(u1_lattices('#skF_1')),
inference(splitLeft,[status(thm)],[c_11805]) ).
tff(c_11880,plain,
~ l1_lattices('#skF_1'),
inference(resolution,[status(thm)],[c_94,c_11877]) ).
tff(c_11884,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_321,c_11880]) ).
tff(c_11886,plain,
v1_funct_1(u1_lattices('#skF_1')),
inference(splitRight,[status(thm)],[c_11805]) ).
tff(c_12106,plain,
! [B_1968,C_1969,D_1970,A_1971] :
( r1_lattice2(B_1968,k1_realset1(C_1969,B_1968),k1_realset1(D_1970,B_1968))
| ~ r1_lattice2(A_1971,C_1969,D_1970)
| ~ m2_relset_1(k1_realset1(D_1970,B_1968),k2_zfmisc_1(B_1968,B_1968),B_1968)
| ~ v1_funct_2(k1_realset1(D_1970,B_1968),k2_zfmisc_1(B_1968,B_1968),B_1968)
| ~ v1_funct_1(k1_realset1(D_1970,B_1968))
| ~ m2_relset_1(k1_realset1(C_1969,B_1968),k2_zfmisc_1(B_1968,B_1968),B_1968)
| ~ v1_funct_2(k1_realset1(C_1969,B_1968),k2_zfmisc_1(B_1968,B_1968),B_1968)
| ~ v1_funct_1(k1_realset1(C_1969,B_1968))
| ~ m2_relset_1(D_1970,k2_zfmisc_1(A_1971,A_1971),A_1971)
| ~ v1_funct_2(D_1970,k2_zfmisc_1(A_1971,A_1971),A_1971)
| ~ v1_funct_1(D_1970)
| ~ m2_relset_1(C_1969,k2_zfmisc_1(A_1971,A_1971),A_1971)
| ~ v1_funct_2(C_1969,k2_zfmisc_1(A_1971,A_1971),A_1971)
| ~ v1_funct_1(C_1969)
| ~ m1_subset_1(B_1968,k1_zfmisc_1(A_1971))
| v1_xboole_0(B_1968)
| v1_xboole_0(A_1971) ),
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_12413,plain,
! [B_2034,A_2035] :
( r1_lattice2(B_2034,k1_realset1(u2_lattices(A_2035),B_2034),k1_realset1(u1_lattices(A_2035),B_2034))
| ~ m2_relset_1(k1_realset1(u1_lattices(A_2035),B_2034),k2_zfmisc_1(B_2034,B_2034),B_2034)
| ~ v1_funct_2(k1_realset1(u1_lattices(A_2035),B_2034),k2_zfmisc_1(B_2034,B_2034),B_2034)
| ~ v1_funct_1(k1_realset1(u1_lattices(A_2035),B_2034))
| ~ m2_relset_1(k1_realset1(u2_lattices(A_2035),B_2034),k2_zfmisc_1(B_2034,B_2034),B_2034)
| ~ v1_funct_2(k1_realset1(u2_lattices(A_2035),B_2034),k2_zfmisc_1(B_2034,B_2034),B_2034)
| ~ v1_funct_1(k1_realset1(u2_lattices(A_2035),B_2034))
| ~ m2_relset_1(u1_lattices(A_2035),k2_zfmisc_1(u1_struct_0(A_2035),u1_struct_0(A_2035)),u1_struct_0(A_2035))
| ~ v1_funct_2(u1_lattices(A_2035),k2_zfmisc_1(u1_struct_0(A_2035),u1_struct_0(A_2035)),u1_struct_0(A_2035))
| ~ v1_funct_1(u1_lattices(A_2035))
| ~ m2_relset_1(u2_lattices(A_2035),k2_zfmisc_1(u1_struct_0(A_2035),u1_struct_0(A_2035)),u1_struct_0(A_2035))
| ~ v1_funct_2(u2_lattices(A_2035),k2_zfmisc_1(u1_struct_0(A_2035),u1_struct_0(A_2035)),u1_struct_0(A_2035))
| ~ v1_funct_1(u2_lattices(A_2035))
| ~ m1_subset_1(B_2034,k1_zfmisc_1(u1_struct_0(A_2035)))
| v1_xboole_0(B_2034)
| v1_xboole_0(u1_struct_0(A_2035))
| ~ l3_lattices(A_2035)
| ~ v10_lattices(A_2035)
| v3_struct_0(A_2035) ),
inference(resolution,[status(thm)],[c_238,c_12106]) ).
tff(c_12415,plain,
( r1_lattice2('#skF_2',k1_realset1(u2_lattices('#skF_1'),'#skF_2'),k1_realset1(u1_lattices('#skF_1'),'#skF_2'))
| ~ m2_relset_1(k1_realset1(u1_lattices('#skF_1'),'#skF_2'),k2_zfmisc_1('#skF_2','#skF_2'),'#skF_2')
| ~ v1_funct_2(k1_realset1(u1_lattices('#skF_1'),'#skF_2'),k2_zfmisc_1('#skF_2','#skF_2'),'#skF_2')
| ~ v1_funct_1(k1_realset1(u1_lattices('#skF_1'),'#skF_2'))
| ~ m2_relset_1(k1_realset1(u2_lattices('#skF_1'),'#skF_2'),k2_zfmisc_1('#skF_2','#skF_2'),'#skF_2')
| ~ v1_funct_2('#skF_3',k2_zfmisc_1('#skF_2','#skF_2'),'#skF_2')
| ~ v1_funct_1(k1_realset1(u2_lattices('#skF_1'),'#skF_2'))
| ~ m2_relset_1(u1_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ v1_funct_2(u1_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ v1_funct_1(u1_lattices('#skF_1'))
| ~ m2_relset_1(u2_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ v1_funct_2(u2_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ v1_funct_1(u2_lattices('#skF_1'))
| ~ m1_subset_1('#skF_2',k1_zfmisc_1(u1_struct_0('#skF_1')))
| v1_xboole_0('#skF_2')
| v1_xboole_0(u1_struct_0('#skF_1'))
| ~ l3_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_12413]) ).
tff(c_12417,plain,
( r1_lattice2('#skF_2','#skF_3','#skF_4')
| ~ m2_relset_1(u1_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ v1_funct_2(u1_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ m2_relset_1(u2_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ v1_funct_2(u2_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ m1_subset_1('#skF_2',k1_zfmisc_1(u1_struct_0('#skF_1')))
| v1_xboole_0('#skF_2')
| v1_xboole_0(u1_struct_0('#skF_1'))
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_26,c_24,c_12129,c_11886,c_18,c_6,c_16,c_14,c_6,c_12,c_4,c_10,c_4,c_8,c_4,c_6,c_4,c_12415]) ).
tff(c_12418,plain,
( ~ m2_relset_1(u1_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ v1_funct_2(u1_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ m2_relset_1(u2_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ v1_funct_2(u2_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ m1_subset_1('#skF_2',k1_zfmisc_1(u1_struct_0('#skF_1')))
| v1_xboole_0(u1_struct_0('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_28,c_22,c_10627,c_12417]) ).
tff(c_12511,plain,
~ m1_subset_1('#skF_2',k1_zfmisc_1(u1_struct_0('#skF_1'))),
inference(splitLeft,[status(thm)],[c_12418]) ).
tff(c_12514,plain,
( ~ m2_lattice4('#skF_2','#skF_1')
| ~ l3_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_86,c_12511]) ).
tff(c_12520,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_26,c_24,c_20,c_12514]) ).
tff(c_12522,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28,c_12520]) ).
tff(c_12524,plain,
m1_subset_1('#skF_2',k1_zfmisc_1(u1_struct_0('#skF_1'))),
inference(splitRight,[status(thm)],[c_12418]) ).
tff(c_12543,plain,
! [A_163] :
( ~ v1_xboole_0(u1_struct_0('#skF_1'))
| ~ r2_hidden(A_163,'#skF_2') ),
inference(resolution,[status(thm)],[c_12524,c_246]) ).
tff(c_12555,plain,
~ v1_xboole_0(u1_struct_0('#skF_1')),
inference(splitLeft,[status(thm)],[c_12543]) ).
tff(c_12523,plain,
( ~ v1_funct_2(u2_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ m2_relset_1(u2_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ v1_funct_2(u1_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ m2_relset_1(u1_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| v1_xboole_0(u1_struct_0('#skF_1')) ),
inference(splitRight,[status(thm)],[c_12418]) ).
tff(c_12736,plain,
( ~ v1_funct_2(u2_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ m2_relset_1(u2_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ v1_funct_2(u1_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ m2_relset_1(u1_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_12555,c_12523]) ).
tff(c_12737,plain,
~ m2_relset_1(u1_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1')),
inference(splitLeft,[status(thm)],[c_12736]) ).
tff(c_12798,plain,
~ l1_lattices('#skF_1'),
inference(resolution,[status(thm)],[c_90,c_12737]) ).
tff(c_12805,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_321,c_12798]) ).
tff(c_12806,plain,
( ~ v1_funct_2(u1_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ m2_relset_1(u2_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ v1_funct_2(u2_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1')) ),
inference(splitRight,[status(thm)],[c_12736]) ).
tff(c_12893,plain,
~ v1_funct_2(u2_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1')),
inference(splitLeft,[status(thm)],[c_12806]) ).
tff(c_12896,plain,
~ l2_lattices('#skF_1'),
inference(resolution,[status(thm)],[c_100,c_12893]) ).
tff(c_12900,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_335,c_12896]) ).
tff(c_12901,plain,
( ~ m2_relset_1(u2_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ v1_funct_2(u1_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1')) ),
inference(splitRight,[status(thm)],[c_12806]) ).
tff(c_12919,plain,
~ v1_funct_2(u1_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1')),
inference(splitLeft,[status(thm)],[c_12901]) ).
tff(c_12922,plain,
~ l1_lattices('#skF_1'),
inference(resolution,[status(thm)],[c_92,c_12919]) ).
tff(c_12926,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_321,c_12922]) ).
tff(c_12927,plain,
~ m2_relset_1(u2_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1')),
inference(splitRight,[status(thm)],[c_12901]) ).
tff(c_12931,plain,
~ l2_lattices('#skF_1'),
inference(resolution,[status(thm)],[c_98,c_12927]) ).
tff(c_12938,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_335,c_12931]) ).
tff(c_12940,plain,
v1_xboole_0(u1_struct_0('#skF_1')),
inference(splitRight,[status(thm)],[c_12543]) ).
tff(c_12961,plain,
( ~ l1_struct_0('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_12940,c_122]) ).
tff(c_12979,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_349,c_12961]) ).
tff(c_12981,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28,c_12979]) ).
tff(c_12982,plain,
( ~ v2_binop_1('#skF_4','#skF_2')
| ~ v1_binop_1('#skF_4','#skF_2') ),
inference(splitRight,[status(thm)],[c_10625]) ).
tff(c_12985,plain,
~ v1_binop_1('#skF_4','#skF_2'),
inference(splitLeft,[status(thm)],[c_12982]) ).
tff(c_14113,plain,
! [C_2235,B_2236,A_2237] :
( v1_binop_1(k1_realset1(C_2235,B_2236),B_2236)
| ~ v1_binop_1(C_2235,A_2237)
| ~ m2_relset_1(k1_realset1(C_2235,B_2236),k2_zfmisc_1(B_2236,B_2236),B_2236)
| ~ v1_funct_2(k1_realset1(C_2235,B_2236),k2_zfmisc_1(B_2236,B_2236),B_2236)
| ~ v1_funct_1(k1_realset1(C_2235,B_2236))
| ~ m2_relset_1(C_2235,k2_zfmisc_1(A_2237,A_2237),A_2237)
| ~ v1_funct_2(C_2235,k2_zfmisc_1(A_2237,A_2237),A_2237)
| ~ v1_funct_1(C_2235)
| ~ m1_subset_1(B_2236,k1_zfmisc_1(A_2237))
| v1_xboole_0(B_2236)
| v1_xboole_0(A_2237) ),
inference(cnfTransformation,[status(thm)],[f_441]) ).
tff(c_14115,plain,
! [A_2237] :
( v1_binop_1(k1_realset1(u1_lattices('#skF_1'),'#skF_2'),'#skF_2')
| ~ v1_binop_1(u1_lattices('#skF_1'),A_2237)
| ~ m2_relset_1(k1_realset1(u1_lattices('#skF_1'),'#skF_2'),k2_zfmisc_1('#skF_2','#skF_2'),'#skF_2')
| ~ v1_funct_2('#skF_4',k2_zfmisc_1('#skF_2','#skF_2'),'#skF_2')
| ~ v1_funct_1(k1_realset1(u1_lattices('#skF_1'),'#skF_2'))
| ~ m2_relset_1(u1_lattices('#skF_1'),k2_zfmisc_1(A_2237,A_2237),A_2237)
| ~ v1_funct_2(u1_lattices('#skF_1'),k2_zfmisc_1(A_2237,A_2237),A_2237)
| ~ v1_funct_1(u1_lattices('#skF_1'))
| ~ m1_subset_1('#skF_2',k1_zfmisc_1(A_2237))
| v1_xboole_0('#skF_2')
| v1_xboole_0(A_2237) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_14113]) ).
tff(c_14119,plain,
! [A_2237] :
( v1_binop_1('#skF_4','#skF_2')
| ~ v1_binop_1(u1_lattices('#skF_1'),A_2237)
| ~ m2_relset_1(u1_lattices('#skF_1'),k2_zfmisc_1(A_2237,A_2237),A_2237)
| ~ v1_funct_2(u1_lattices('#skF_1'),k2_zfmisc_1(A_2237,A_2237),A_2237)
| ~ v1_funct_1(u1_lattices('#skF_1'))
| ~ m1_subset_1('#skF_2',k1_zfmisc_1(A_2237))
| v1_xboole_0('#skF_2')
| v1_xboole_0(A_2237) ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_4,c_10,c_8,c_4,c_4,c_14115]) ).
tff(c_14120,plain,
! [A_2237] :
( ~ v1_binop_1(u1_lattices('#skF_1'),A_2237)
| ~ m2_relset_1(u1_lattices('#skF_1'),k2_zfmisc_1(A_2237,A_2237),A_2237)
| ~ v1_funct_2(u1_lattices('#skF_1'),k2_zfmisc_1(A_2237,A_2237),A_2237)
| ~ v1_funct_1(u1_lattices('#skF_1'))
| ~ m1_subset_1('#skF_2',k1_zfmisc_1(A_2237))
| v1_xboole_0(A_2237) ),
inference(negUnitSimplification,[status(thm)],[c_22,c_12985,c_14119]) ).
tff(c_14206,plain,
~ v1_funct_1(u1_lattices('#skF_1')),
inference(splitLeft,[status(thm)],[c_14120]) ).
tff(c_14209,plain,
~ l1_lattices('#skF_1'),
inference(resolution,[status(thm)],[c_94,c_14206]) ).
tff(c_14213,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_321,c_14209]) ).
tff(c_14563,plain,
! [A_2323] :
( ~ v1_binop_1(u1_lattices('#skF_1'),A_2323)
| ~ m2_relset_1(u1_lattices('#skF_1'),k2_zfmisc_1(A_2323,A_2323),A_2323)
| ~ v1_funct_2(u1_lattices('#skF_1'),k2_zfmisc_1(A_2323,A_2323),A_2323)
| ~ m1_subset_1('#skF_2',k1_zfmisc_1(A_2323))
| v1_xboole_0(A_2323) ),
inference(splitRight,[status(thm)],[c_14120]) ).
tff(c_14567,plain,
( ~ v1_binop_1(u1_lattices('#skF_1'),u1_struct_0('#skF_1'))
| ~ m2_relset_1(u1_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ m1_subset_1('#skF_2',k1_zfmisc_1(u1_struct_0('#skF_1')))
| v1_xboole_0(u1_struct_0('#skF_1'))
| ~ l1_lattices('#skF_1') ),
inference(resolution,[status(thm)],[c_92,c_14563]) ).
tff(c_14570,plain,
( ~ v1_binop_1(u1_lattices('#skF_1'),u1_struct_0('#skF_1'))
| ~ m2_relset_1(u1_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ m1_subset_1('#skF_2',k1_zfmisc_1(u1_struct_0('#skF_1')))
| v1_xboole_0(u1_struct_0('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_321,c_14567]) ).
tff(c_15613,plain,
( ~ v1_binop_1(u1_lattices('#skF_1'),u1_struct_0('#skF_1'))
| ~ m2_relset_1(u1_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ m1_subset_1('#skF_2',k1_zfmisc_1(u1_struct_0('#skF_1'))) ),
inference(negUnitSimplification,[status(thm)],[c_15419,c_14570]) ).
tff(c_15614,plain,
~ m1_subset_1('#skF_2',k1_zfmisc_1(u1_struct_0('#skF_1'))),
inference(splitLeft,[status(thm)],[c_15613]) ).
tff(c_15617,plain,
( ~ m2_lattice4('#skF_2','#skF_1')
| ~ l3_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_86,c_15614]) ).
tff(c_15623,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_26,c_24,c_20,c_15617]) ).
tff(c_15625,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28,c_15623]) ).
tff(c_15626,plain,
( ~ m2_relset_1(u1_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ v1_binop_1(u1_lattices('#skF_1'),u1_struct_0('#skF_1')) ),
inference(splitRight,[status(thm)],[c_15613]) ).
tff(c_15770,plain,
~ v1_binop_1(u1_lattices('#skF_1'),u1_struct_0('#skF_1')),
inference(splitLeft,[status(thm)],[c_15626]) ).
tff(c_15773,plain,
( ~ l1_lattices('#skF_1')
| ~ v6_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_158,c_15770]) ).
tff(c_15776,plain,
( ~ v6_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_321,c_15773]) ).
tff(c_15777,plain,
~ v6_lattices('#skF_1'),
inference(negUnitSimplification,[status(thm)],[c_28,c_15776]) ).
tff(c_15780,plain,
( ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1')
| ~ l3_lattices('#skF_1') ),
inference(resolution,[status(thm)],[c_40,c_15777]) ).
tff(c_15783,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_26,c_15780]) ).
tff(c_15785,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28,c_15783]) ).
tff(c_15786,plain,
~ m2_relset_1(u1_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1')),
inference(splitRight,[status(thm)],[c_15626]) ).
tff(c_15792,plain,
~ l1_lattices('#skF_1'),
inference(resolution,[status(thm)],[c_90,c_15786]) ).
tff(c_15799,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_321,c_15792]) ).
tff(c_15800,plain,
~ v2_binop_1('#skF_4','#skF_2'),
inference(splitRight,[status(thm)],[c_12982]) ).
tff(c_16836,plain,
! [C_2573,B_2574,A_2575] :
( v2_binop_1(k1_realset1(C_2573,B_2574),B_2574)
| ~ v2_binop_1(C_2573,A_2575)
| ~ m2_relset_1(k1_realset1(C_2573,B_2574),k2_zfmisc_1(B_2574,B_2574),B_2574)
| ~ v1_funct_2(k1_realset1(C_2573,B_2574),k2_zfmisc_1(B_2574,B_2574),B_2574)
| ~ v1_funct_1(k1_realset1(C_2573,B_2574))
| ~ m2_relset_1(C_2573,k2_zfmisc_1(A_2575,A_2575),A_2575)
| ~ v1_funct_2(C_2573,k2_zfmisc_1(A_2575,A_2575),A_2575)
| ~ v1_funct_1(C_2573)
| ~ m1_subset_1(B_2574,k1_zfmisc_1(A_2575))
| v1_xboole_0(B_2574)
| v1_xboole_0(A_2575) ),
inference(cnfTransformation,[status(thm)],[f_441]) ).
tff(c_16838,plain,
! [A_2575] :
( v2_binop_1(k1_realset1(u1_lattices('#skF_1'),'#skF_2'),'#skF_2')
| ~ v2_binop_1(u1_lattices('#skF_1'),A_2575)
| ~ m2_relset_1(k1_realset1(u1_lattices('#skF_1'),'#skF_2'),k2_zfmisc_1('#skF_2','#skF_2'),'#skF_2')
| ~ v1_funct_2('#skF_4',k2_zfmisc_1('#skF_2','#skF_2'),'#skF_2')
| ~ v1_funct_1(k1_realset1(u1_lattices('#skF_1'),'#skF_2'))
| ~ m2_relset_1(u1_lattices('#skF_1'),k2_zfmisc_1(A_2575,A_2575),A_2575)
| ~ v1_funct_2(u1_lattices('#skF_1'),k2_zfmisc_1(A_2575,A_2575),A_2575)
| ~ v1_funct_1(u1_lattices('#skF_1'))
| ~ m1_subset_1('#skF_2',k1_zfmisc_1(A_2575))
| v1_xboole_0('#skF_2')
| v1_xboole_0(A_2575) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_16836]) ).
tff(c_16842,plain,
! [A_2575] :
( v2_binop_1('#skF_4','#skF_2')
| ~ v2_binop_1(u1_lattices('#skF_1'),A_2575)
| ~ m2_relset_1(u1_lattices('#skF_1'),k2_zfmisc_1(A_2575,A_2575),A_2575)
| ~ v1_funct_2(u1_lattices('#skF_1'),k2_zfmisc_1(A_2575,A_2575),A_2575)
| ~ v1_funct_1(u1_lattices('#skF_1'))
| ~ m1_subset_1('#skF_2',k1_zfmisc_1(A_2575))
| v1_xboole_0('#skF_2')
| v1_xboole_0(A_2575) ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_4,c_10,c_8,c_4,c_4,c_16838]) ).
tff(c_16843,plain,
! [A_2575] :
( ~ v2_binop_1(u1_lattices('#skF_1'),A_2575)
| ~ m2_relset_1(u1_lattices('#skF_1'),k2_zfmisc_1(A_2575,A_2575),A_2575)
| ~ v1_funct_2(u1_lattices('#skF_1'),k2_zfmisc_1(A_2575,A_2575),A_2575)
| ~ v1_funct_1(u1_lattices('#skF_1'))
| ~ m1_subset_1('#skF_2',k1_zfmisc_1(A_2575))
| v1_xboole_0(A_2575) ),
inference(negUnitSimplification,[status(thm)],[c_22,c_15800,c_16842]) ).
tff(c_16915,plain,
~ v1_funct_1(u1_lattices('#skF_1')),
inference(splitLeft,[status(thm)],[c_16843]) ).
tff(c_16918,plain,
~ l1_lattices('#skF_1'),
inference(resolution,[status(thm)],[c_94,c_16915]) ).
tff(c_16922,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_321,c_16918]) ).
tff(c_17301,plain,
! [A_2651] :
( ~ v2_binop_1(u1_lattices('#skF_1'),A_2651)
| ~ m2_relset_1(u1_lattices('#skF_1'),k2_zfmisc_1(A_2651,A_2651),A_2651)
| ~ v1_funct_2(u1_lattices('#skF_1'),k2_zfmisc_1(A_2651,A_2651),A_2651)
| ~ m1_subset_1('#skF_2',k1_zfmisc_1(A_2651))
| v1_xboole_0(A_2651) ),
inference(splitRight,[status(thm)],[c_16843]) ).
tff(c_17305,plain,
( ~ v2_binop_1(u1_lattices('#skF_1'),u1_struct_0('#skF_1'))
| ~ m2_relset_1(u1_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ m1_subset_1('#skF_2',k1_zfmisc_1(u1_struct_0('#skF_1')))
| v1_xboole_0(u1_struct_0('#skF_1'))
| ~ l1_lattices('#skF_1') ),
inference(resolution,[status(thm)],[c_92,c_17301]) ).
tff(c_17308,plain,
( ~ v2_binop_1(u1_lattices('#skF_1'),u1_struct_0('#skF_1'))
| ~ m2_relset_1(u1_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ m1_subset_1('#skF_2',k1_zfmisc_1(u1_struct_0('#skF_1')))
| v1_xboole_0(u1_struct_0('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_321,c_17305]) ).
tff(c_17825,plain,
( ~ v2_binop_1(u1_lattices('#skF_1'),u1_struct_0('#skF_1'))
| ~ m2_relset_1(u1_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ m1_subset_1('#skF_2',k1_zfmisc_1(u1_struct_0('#skF_1'))) ),
inference(negUnitSimplification,[status(thm)],[c_17777,c_17308]) ).
tff(c_17826,plain,
~ m1_subset_1('#skF_2',k1_zfmisc_1(u1_struct_0('#skF_1'))),
inference(splitLeft,[status(thm)],[c_17825]) ).
tff(c_17829,plain,
( ~ m2_lattice4('#skF_2','#skF_1')
| ~ l3_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_86,c_17826]) ).
tff(c_17835,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_26,c_24,c_20,c_17829]) ).
tff(c_17837,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28,c_17835]) ).
tff(c_17838,plain,
( ~ m2_relset_1(u1_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1'))
| ~ v2_binop_1(u1_lattices('#skF_1'),u1_struct_0('#skF_1')) ),
inference(splitRight,[status(thm)],[c_17825]) ).
tff(c_17985,plain,
~ v2_binop_1(u1_lattices('#skF_1'),u1_struct_0('#skF_1')),
inference(splitLeft,[status(thm)],[c_17838]) ).
tff(c_17988,plain,
( ~ l1_lattices('#skF_1')
| ~ v7_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_170,c_17985]) ).
tff(c_17991,plain,
( ~ v7_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_321,c_17988]) ).
tff(c_17992,plain,
~ v7_lattices('#skF_1'),
inference(negUnitSimplification,[status(thm)],[c_28,c_17991]) ).
tff(c_17995,plain,
( ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1')
| ~ l3_lattices('#skF_1') ),
inference(resolution,[status(thm)],[c_38,c_17992]) ).
tff(c_17998,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_26,c_17995]) ).
tff(c_18000,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28,c_17998]) ).
tff(c_18001,plain,
~ m2_relset_1(u1_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),u1_struct_0('#skF_1')),
inference(splitRight,[status(thm)],[c_17838]) ).
tff(c_18007,plain,
~ l1_lattices('#skF_1'),
inference(resolution,[status(thm)],[c_90,c_18001]) ).
tff(c_18014,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_321,c_18007]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LAT326+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.33 % Computer : n004.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Thu Aug 3 12:27:41 EDT 2023
% 0.14/0.33 % CPUTime :
% 15.66/5.67 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.79/5.71
% 15.79/5.71 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 15.92/5.77
% 15.92/5.77 Inference rules
% 15.92/5.77 ----------------------
% 15.92/5.77 #Ref : 0
% 15.92/5.77 #Sup : 3663
% 15.92/5.77 #Fact : 0
% 15.92/5.77 #Define : 0
% 15.92/5.77 #Split : 130
% 15.92/5.77 #Chain : 0
% 15.92/5.77 #Close : 0
% 15.92/5.77
% 15.92/5.77 Ordering : KBO
% 15.92/5.77
% 15.92/5.77 Simplification rules
% 15.92/5.77 ----------------------
% 15.92/5.77 #Subsume : 1200
% 15.92/5.77 #Demod : 1574
% 15.92/5.77 #Tautology : 677
% 15.92/5.77 #SimpNegUnit : 1063
% 15.92/5.77 #BackRed : 187
% 15.92/5.77
% 15.92/5.77 #Partial instantiations: 0
% 15.92/5.77 #Strategies tried : 1
% 15.92/5.77
% 15.92/5.77 Timing (in seconds)
% 15.92/5.77 ----------------------
% 15.92/5.78 Preprocessing : 0.70
% 15.92/5.78 Parsing : 0.36
% 15.92/5.78 CNF conversion : 0.07
% 15.92/5.78 Main loop : 3.97
% 15.92/5.78 Inferencing : 1.48
% 15.92/5.78 Reduction : 1.34
% 15.92/5.78 Demodulation : 0.92
% 15.92/5.78 BG Simplification : 0.07
% 15.92/5.78 Subsumption : 0.80
% 15.92/5.78 Abstraction : 0.07
% 15.92/5.78 MUC search : 0.00
% 15.92/5.78 Cooper : 0.00
% 15.92/5.78 Total : 4.79
% 15.92/5.78 Index Insertion : 0.00
% 15.92/5.78 Index Deletion : 0.00
% 15.92/5.78 Index Matching : 0.00
% 15.92/5.78 BG Taut test : 0.00
%------------------------------------------------------------------------------