TSTP Solution File: LAT295+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LAT295+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/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n006.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 10:46:41 EDT 2023
% Result : Theorem 60.88s 41.03s
% Output : CNFRefutation 61.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 76
% Syntax : Number of formulae : 318 ( 113 unt; 60 typ; 0 def)
% Number of atoms : 741 ( 164 equ)
% Maximal formula atoms : 17 ( 2 avg)
% Number of connectives : 900 ( 417 ~; 414 |; 36 &)
% ( 2 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 69 ( 39 >; 30 *; 0 +; 0 <<)
% Number of predicates : 21 ( 19 usr; 1 prp; 0-3 aty)
% Number of functors : 41 ( 41 usr; 21 con; 0-6 aty)
% Number of variables : 311 (; 311 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ v1_funct_2 > r1_lattices > m2_relset_1 > m1_relset_1 > r2_hidden > r1_tarski > m1_subset_1 > v3_struct_0 > v3_lattices > v2_funct_1 > v1_xboole_0 > v1_relat_1 > v1_realset1 > v1_funct_1 > v1_finset_1 > l3_lattices > l2_lattices > l1_struct_0 > l1_lattices > k2_binop_1 > k2_lattices > k1_lattices > k1_binop_1 > g3_lattices > k4_tarski > k2_zfmisc_1 > k2_tarski > k1_funct_1 > #nlpp > u2_lattices > u1_struct_0 > u1_lattices > k1_zfmisc_1 > k1_tarski > k1_xboole_0 > #skF_25 > #skF_11 > #skF_16 > #skF_18 > #skF_17 > #skF_15 > #skF_19 > #skF_7 > #skF_13 > #skF_10 > #skF_26 > #skF_14 > #skF_5 > #skF_6 > #skF_2 > #skF_3 > #skF_1 > #skF_21 > #skF_9 > #skF_8 > #skF_4 > #skF_22 > #skF_24 > #skF_23 > #skF_12 > #skF_20
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(l3_lattices,type,
l3_lattices: $i > $o ).
tff('#skF_25',type,
'#skF_25': $i > $i ).
tff(k2_lattices,type,
k2_lattices: ( $i * $i * $i ) > $i ).
tff('#skF_11',type,
'#skF_11': ( $i * $i ) > $i ).
tff(m2_relset_1,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff('#skF_16',type,
'#skF_16': $i > $i ).
tff(l2_lattices,type,
l2_lattices: $i > $o ).
tff(v1_funct_1,type,
v1_funct_1: $i > $o ).
tff(v1_realset1,type,
v1_realset1: $i > $o ).
tff(v2_funct_1,type,
v2_funct_1: $i > $o ).
tff('#skF_18',type,
'#skF_18': $i ).
tff('#skF_17',type,
'#skF_17': $i ).
tff(r2_hidden,type,
r2_hidden: ( $i * $i ) > $o ).
tff(k1_tarski,type,
k1_tarski: $i > $i ).
tff('#skF_15',type,
'#skF_15': $i ).
tff(k4_tarski,type,
k4_tarski: ( $i * $i ) > $i ).
tff(k1_xboole_0,type,
k1_xboole_0: $i ).
tff(k1_lattices,type,
k1_lattices: ( $i * $i * $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('#skF_13',type,
'#skF_13': ( $i * $i ) > $i ).
tff(r1_lattices,type,
r1_lattices: ( $i * $i * $i ) > $o ).
tff(r1_tarski,type,
r1_tarski: ( $i * $i ) > $o ).
tff('#skF_10',type,
'#skF_10': $i ).
tff(m1_relset_1,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff('#skF_26',type,
'#skF_26': $i ).
tff(k2_tarski,type,
k2_tarski: ( $i * $i ) > $i ).
tff('#skF_14',type,
'#skF_14': $i ).
tff('#skF_5',type,
'#skF_5': $i ).
tff(v1_funct_2,type,
v1_funct_2: ( $i * $i * $i ) > $o ).
tff('#skF_6',type,
'#skF_6': $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff(u2_lattices,type,
u2_lattices: $i > $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(u1_lattices,type,
u1_lattices: $i > $i ).
tff(g3_lattices,type,
g3_lattices: ( $i * $i * $i ) > $i ).
tff('#skF_21',type,
'#skF_21': $i ).
tff('#skF_9',type,
'#skF_9': $i ).
tff(k2_binop_1,type,
k2_binop_1: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(k1_binop_1,type,
k1_binop_1: ( $i * $i * $i ) > $i ).
tff(k1_zfmisc_1,type,
k1_zfmisc_1: $i > $i ).
tff(l1_struct_0,type,
l1_struct_0: $i > $o ).
tff(k1_funct_1,type,
k1_funct_1: ( $i * $i ) > $i ).
tff('#skF_8',type,
'#skF_8': $i ).
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_22',type,
'#skF_22': $i ).
tff('#skF_24',type,
'#skF_24': $i ).
tff('#skF_23',type,
'#skF_23': $i ).
tff(v3_lattices,type,
v3_lattices: $i > $o ).
tff('#skF_12',type,
'#skF_12': $i > $i ).
tff(u1_struct_0,type,
u1_struct_0: $i > $i ).
tff(v1_xboole_0,type,
v1_xboole_0: $i > $o ).
tff(v1_finset_1,type,
v1_finset_1: $i > $o ).
tff('#skF_20',type,
'#skF_20': $i > $i ).
tff(v3_struct_0,type,
v3_struct_0: $i > $o ).
tff(m1_subset_1,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(f_71,negated_conjecture,
~ ! [A] :
( ( ~ v3_struct_0(A)
& l3_lattices(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& l3_lattices(B) )
=> ( ( g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) = g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B)) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ! [E] :
( m1_subset_1(E,u1_struct_0(B))
=> ! [F] :
( m1_subset_1(F,u1_struct_0(B))
=> ( ( ( C = E )
& ( D = F ) )
=> ( ( k1_lattices(A,C,D) = k1_lattices(B,E,F) )
& ( k2_lattices(A,C,D) = k2_lattices(B,E,F) )
& ( r1_lattices(A,C,D)
=> r1_lattices(B,E,F) )
& ( r1_lattices(B,E,F)
=> r1_lattices(A,C,D) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_filter_2) ).
tff(f_231,axiom,
! [A] :
( l3_lattices(A)
=> ( l1_lattices(A)
& l2_lattices(A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_lattices) ).
tff(f_243,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/sandbox2/benchmark/theBenchmark.p',dt_u1_lattices) ).
tff(f_251,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/sandbox2/benchmark/theBenchmark.p',dt_u2_lattices) ).
tff(f_225,axiom,
! [A] :
( l2_lattices(A)
=> l1_struct_0(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l2_lattices) ).
tff(f_438,axiom,
! [A,B,C] :
( m2_relset_1(C,A,B)
<=> m1_relset_1(C,A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
tff(f_450,axiom,
! [A,B] :
( m1_subset_1(A,B)
=> ( v1_xboole_0(B)
| r2_hidden(A,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
tff(f_235,axiom,
! [A,B,C] :
( m2_relset_1(C,A,B)
=> m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
tff(f_460,axiom,
! [A,B,C] :
( ( r2_hidden(A,B)
& m1_subset_1(B,k1_zfmisc_1(C)) )
=> m1_subset_1(A,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
tff(f_276,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l1_struct_0(A) )
=> ~ v1_xboole_0(u1_struct_0(A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
tff(f_303,axiom,
! [A,B,C] :
( ( ~ v1_xboole_0(A)
& v1_funct_1(B)
& v1_funct_2(B,k2_zfmisc_1(A,A),A)
& m1_relset_1(B,k2_zfmisc_1(A,A),A)
& v1_funct_1(C)
& v1_funct_2(C,k2_zfmisc_1(A,A),A)
& m1_relset_1(C,k2_zfmisc_1(A,A),A) )
=> ( ~ v3_struct_0(g3_lattices(A,B,C))
& v3_lattices(g3_lattices(A,B,C)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc3_lattices) ).
tff(f_343,axiom,
! [A,B,C] :
( ( v1_funct_1(B)
& v1_funct_2(B,k2_zfmisc_1(A,A),A)
& m1_relset_1(B,k2_zfmisc_1(A,A),A)
& v1_funct_1(C)
& v1_funct_2(C,k2_zfmisc_1(A,A),A)
& m1_relset_1(C,k2_zfmisc_1(A,A),A) )
=> ! [D,E,F] :
( ( g3_lattices(A,B,C) = g3_lattices(D,E,F) )
=> ( ( A = D )
& ( B = E )
& ( C = F ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',free_g3_lattices) ).
tff(f_434,axiom,
! [A,B,C,D,E,F] :
( ( ~ v1_xboole_0(A)
& ~ v1_xboole_0(B)
& v1_funct_1(D)
& v1_funct_2(D,k2_zfmisc_1(A,B),C)
& m1_relset_1(D,k2_zfmisc_1(A,B),C)
& m1_subset_1(E,A)
& m1_subset_1(F,B) )
=> ( k2_binop_1(A,B,C,D,E,F) = k1_binop_1(D,E,F) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k2_binop_1) ).
tff(f_130,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l2_lattices(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ( k1_lattices(A,B,C) = k2_binop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u2_lattices(A),B,C) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_lattices) ).
tff(f_143,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l1_lattices(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ( k2_lattices(A,B,C) = k2_binop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u1_lattices(A),B,C) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_lattices) ).
tff(f_158,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l2_lattices(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ( r1_lattices(A,B,C)
<=> ( k1_lattices(A,B,C) = C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_lattices) ).
tff(c_18,plain,
~ v3_struct_0('#skF_2'),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_2,plain,
'#skF_6' = '#skF_4',
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_4,plain,
'#skF_5' = '#skF_3',
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_30,plain,
( r1_lattices('#skF_1','#skF_3','#skF_4')
| r1_lattices('#skF_2','#skF_5','#skF_6')
| ( k2_lattices('#skF_2','#skF_5','#skF_6') != k2_lattices('#skF_1','#skF_3','#skF_4') )
| ( k1_lattices('#skF_2','#skF_5','#skF_6') != k1_lattices('#skF_1','#skF_3','#skF_4') ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_240,plain,
( r1_lattices('#skF_1','#skF_3','#skF_4')
| r1_lattices('#skF_2','#skF_3','#skF_6')
| ( k2_lattices('#skF_2','#skF_3','#skF_6') != k2_lattices('#skF_1','#skF_3','#skF_4') )
| ( k1_lattices('#skF_2','#skF_3','#skF_6') != k1_lattices('#skF_1','#skF_3','#skF_4') ) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_4,c_4,c_30]) ).
tff(c_244,plain,
( r1_lattices('#skF_1','#skF_3','#skF_4')
| r1_lattices('#skF_2','#skF_3','#skF_4')
| ( k2_lattices('#skF_2','#skF_3','#skF_4') != k2_lattices('#skF_1','#skF_3','#skF_4') )
| ( k1_lattices('#skF_2','#skF_3','#skF_4') != k1_lattices('#skF_1','#skF_3','#skF_4') ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_2,c_240]) ).
tff(c_399,plain,
k1_lattices('#skF_2','#skF_3','#skF_4') != k1_lattices('#skF_1','#skF_3','#skF_4'),
inference(splitLeft,[status(thm)],[c_244]) ).
tff(c_12,plain,
m1_subset_1('#skF_3',u1_struct_0('#skF_1')),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_22,plain,
~ v3_struct_0('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_20,plain,
l3_lattices('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_259,plain,
! [A_188] :
( l2_lattices(A_188)
| ~ l3_lattices(A_188) ),
inference(cnfTransformation,[status(thm)],[f_231]) ).
tff(c_276,plain,
l2_lattices('#skF_1'),
inference(resolution,[status(thm)],[c_20,c_259]) ).
tff(c_10,plain,
m1_subset_1('#skF_4',u1_struct_0('#skF_1')),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_16,plain,
l3_lattices('#skF_2'),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_281,plain,
! [A_191] :
( l1_lattices(A_191)
| ~ l3_lattices(A_191) ),
inference(cnfTransformation,[status(thm)],[f_231]) ).
tff(c_297,plain,
l1_lattices('#skF_2'),
inference(resolution,[status(thm)],[c_16,c_281]) ).
tff(c_108,plain,
! [A_118] :
( v1_funct_1(u1_lattices(A_118))
| ~ l1_lattices(A_118) ),
inference(cnfTransformation,[status(thm)],[f_243]) ).
tff(c_275,plain,
l2_lattices('#skF_2'),
inference(resolution,[status(thm)],[c_16,c_259]) ).
tff(c_116,plain,
! [A_119] :
( v1_funct_1(u2_lattices(A_119))
| ~ l2_lattices(A_119) ),
inference(cnfTransformation,[status(thm)],[f_251]) ).
tff(c_355,plain,
! [A_195] :
( l1_struct_0(A_195)
| ~ l2_lattices(A_195) ),
inference(cnfTransformation,[status(thm)],[f_225]) ).
tff(c_378,plain,
l1_struct_0('#skF_2'),
inference(resolution,[status(thm)],[c_275,c_355]) ).
tff(c_8,plain,
m1_subset_1('#skF_5',u1_struct_0('#skF_2')),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_239,plain,
m1_subset_1('#skF_3',u1_struct_0('#skF_2')),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_8]) ).
tff(c_218,plain,
! [C_162,A_160,B_161] :
( m2_relset_1(C_162,A_160,B_161)
| ~ m1_relset_1(C_162,A_160,B_161) ),
inference(cnfTransformation,[status(thm)],[f_438]) ).
tff(c_224,plain,
! [A_167,B_168] :
( r2_hidden(A_167,B_168)
| v1_xboole_0(B_168)
| ~ m1_subset_1(A_167,B_168) ),
inference(cnfTransformation,[status(thm)],[f_450]) ).
tff(c_102,plain,
! [C_117,A_115,B_116] :
( m1_subset_1(C_117,k1_zfmisc_1(k2_zfmisc_1(A_115,B_116)))
| ~ m2_relset_1(C_117,A_115,B_116) ),
inference(cnfTransformation,[status(thm)],[f_235]) ).
tff(c_747,plain,
! [A_284,C_285,B_286] :
( m1_subset_1(A_284,C_285)
| ~ m1_subset_1(B_286,k1_zfmisc_1(C_285))
| ~ r2_hidden(A_284,B_286) ),
inference(cnfTransformation,[status(thm)],[f_460]) ).
tff(c_1435,plain,
! [A_381,A_382,B_383,C_384] :
( m1_subset_1(A_381,k2_zfmisc_1(A_382,B_383))
| ~ r2_hidden(A_381,C_384)
| ~ m2_relset_1(C_384,A_382,B_383) ),
inference(resolution,[status(thm)],[c_102,c_747]) ).
tff(c_2708,plain,
! [A_469,A_470,B_471,B_472] :
( m1_subset_1(A_469,k2_zfmisc_1(A_470,B_471))
| ~ m2_relset_1(B_472,A_470,B_471)
| v1_xboole_0(B_472)
| ~ m1_subset_1(A_469,B_472) ),
inference(resolution,[status(thm)],[c_224,c_1435]) ).
tff(c_3270,plain,
! [A_484,A_485,B_486,C_487] :
( m1_subset_1(A_484,k2_zfmisc_1(A_485,B_486))
| v1_xboole_0(C_487)
| ~ m1_subset_1(A_484,C_487)
| ~ m1_relset_1(C_487,A_485,B_486) ),
inference(resolution,[status(thm)],[c_218,c_2708]) ).
tff(c_3329,plain,
! [A_485,B_486] :
( m1_subset_1('#skF_3',k2_zfmisc_1(A_485,B_486))
| v1_xboole_0(u1_struct_0('#skF_2'))
| ~ m1_relset_1(u1_struct_0('#skF_2'),A_485,B_486) ),
inference(resolution,[status(thm)],[c_239,c_3270]) ).
tff(c_3402,plain,
v1_xboole_0(u1_struct_0('#skF_2')),
inference(splitLeft,[status(thm)],[c_3329]) ).
tff(c_132,plain,
! [A_128] :
( ~ v1_xboole_0(u1_struct_0(A_128))
| ~ l1_struct_0(A_128)
| v3_struct_0(A_128) ),
inference(cnfTransformation,[status(thm)],[f_276]) ).
tff(c_3407,plain,
( ~ l1_struct_0('#skF_2')
| v3_struct_0('#skF_2') ),
inference(resolution,[status(thm)],[c_3402,c_132]) ).
tff(c_3422,plain,
v3_struct_0('#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_378,c_3407]) ).
tff(c_3424,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18,c_3422]) ).
tff(c_3426,plain,
~ v1_xboole_0(u1_struct_0('#skF_2')),
inference(splitRight,[status(thm)],[c_3329]) ).
tff(c_14,plain,
g3_lattices(u1_struct_0('#skF_2'),u2_lattices('#skF_2'),u1_lattices('#skF_2')) = g3_lattices(u1_struct_0('#skF_1'),u2_lattices('#skF_1'),u1_lattices('#skF_1')),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_2078,plain,
! [A_435,B_436,C_437] :
( ~ v3_struct_0(g3_lattices(A_435,B_436,C_437))
| ~ m1_relset_1(C_437,k2_zfmisc_1(A_435,A_435),A_435)
| ~ v1_funct_2(C_437,k2_zfmisc_1(A_435,A_435),A_435)
| ~ v1_funct_1(C_437)
| ~ m1_relset_1(B_436,k2_zfmisc_1(A_435,A_435),A_435)
| ~ v1_funct_2(B_436,k2_zfmisc_1(A_435,A_435),A_435)
| ~ v1_funct_1(B_436)
| v1_xboole_0(A_435) ),
inference(cnfTransformation,[status(thm)],[f_303]) ).
tff(c_2082,plain,
( ~ v3_struct_0(g3_lattices(u1_struct_0('#skF_1'),u2_lattices('#skF_1'),u1_lattices('#skF_1')))
| ~ m1_relset_1(u1_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ~ v1_funct_2(u1_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ~ v1_funct_1(u1_lattices('#skF_2'))
| ~ m1_relset_1(u2_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ~ v1_funct_2(u2_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ~ v1_funct_1(u2_lattices('#skF_2'))
| v1_xboole_0(u1_struct_0('#skF_2')) ),
inference(superposition,[status(thm),theory(equality)],[c_14,c_2078]) ).
tff(c_4987,plain,
( ~ v3_struct_0(g3_lattices(u1_struct_0('#skF_1'),u2_lattices('#skF_1'),u1_lattices('#skF_1')))
| ~ m1_relset_1(u1_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ~ v1_funct_2(u1_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ~ v1_funct_1(u1_lattices('#skF_2'))
| ~ m1_relset_1(u2_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ~ v1_funct_2(u2_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ~ v1_funct_1(u2_lattices('#skF_2')) ),
inference(negUnitSimplification,[status(thm)],[c_3426,c_2082]) ).
tff(c_4988,plain,
~ v1_funct_1(u2_lattices('#skF_2')),
inference(splitLeft,[status(thm)],[c_4987]) ).
tff(c_4991,plain,
~ l2_lattices('#skF_2'),
inference(resolution,[status(thm)],[c_116,c_4988]) ).
tff(c_4995,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_275,c_4991]) ).
tff(c_4997,plain,
v1_funct_1(u2_lattices('#skF_2')),
inference(splitRight,[status(thm)],[c_4987]) ).
tff(c_114,plain,
! [A_119] :
( v1_funct_2(u2_lattices(A_119),k2_zfmisc_1(u1_struct_0(A_119),u1_struct_0(A_119)),u1_struct_0(A_119))
| ~ l2_lattices(A_119) ),
inference(cnfTransformation,[status(thm)],[f_251]) ).
tff(c_2699,plain,
! [B_464,E_468,C_467,F_466,D_465,A_463] :
( ( D_465 = A_463 )
| ( g3_lattices(D_465,E_468,F_466) != g3_lattices(A_463,B_464,C_467) )
| ~ m1_relset_1(C_467,k2_zfmisc_1(A_463,A_463),A_463)
| ~ v1_funct_2(C_467,k2_zfmisc_1(A_463,A_463),A_463)
| ~ v1_funct_1(C_467)
| ~ m1_relset_1(B_464,k2_zfmisc_1(A_463,A_463),A_463)
| ~ v1_funct_2(B_464,k2_zfmisc_1(A_463,A_463),A_463)
| ~ v1_funct_1(B_464) ),
inference(cnfTransformation,[status(thm)],[f_343]) ).
tff(c_2707,plain,
! [D_465,E_468,F_466] :
( ( u1_struct_0('#skF_2') = D_465 )
| ( g3_lattices(u1_struct_0('#skF_1'),u2_lattices('#skF_1'),u1_lattices('#skF_1')) != g3_lattices(D_465,E_468,F_466) )
| ~ m1_relset_1(u1_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ~ v1_funct_2(u1_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ~ v1_funct_1(u1_lattices('#skF_2'))
| ~ m1_relset_1(u2_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ~ v1_funct_2(u2_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ~ v1_funct_1(u2_lattices('#skF_2')) ),
inference(superposition,[status(thm),theory(equality)],[c_14,c_2699]) ).
tff(c_5103,plain,
! [D_465,E_468,F_466] :
( ( u1_struct_0('#skF_2') = D_465 )
| ( g3_lattices(u1_struct_0('#skF_1'),u2_lattices('#skF_1'),u1_lattices('#skF_1')) != g3_lattices(D_465,E_468,F_466) )
| ~ m1_relset_1(u1_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ~ v1_funct_2(u1_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ~ v1_funct_1(u1_lattices('#skF_2'))
| ~ m1_relset_1(u2_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ~ v1_funct_2(u2_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2')) ),
inference(demodulation,[status(thm),theory(equality)],[c_4997,c_2707]) ).
tff(c_5104,plain,
~ v1_funct_2(u2_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2')),
inference(splitLeft,[status(thm)],[c_5103]) ).
tff(c_5125,plain,
~ l2_lattices('#skF_2'),
inference(resolution,[status(thm)],[c_114,c_5104]) ).
tff(c_5129,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_275,c_5125]) ).
tff(c_5131,plain,
v1_funct_2(u2_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2')),
inference(splitRight,[status(thm)],[c_5103]) ).
tff(c_880,plain,
! [A_306] :
( m2_relset_1(u2_lattices(A_306),k2_zfmisc_1(u1_struct_0(A_306),u1_struct_0(A_306)),u1_struct_0(A_306))
| ~ l2_lattices(A_306) ),
inference(cnfTransformation,[status(thm)],[f_251]) ).
tff(c_216,plain,
! [C_162,A_160,B_161] :
( m1_relset_1(C_162,A_160,B_161)
| ~ m2_relset_1(C_162,A_160,B_161) ),
inference(cnfTransformation,[status(thm)],[f_438]) ).
tff(c_888,plain,
! [A_306] :
( m1_relset_1(u2_lattices(A_306),k2_zfmisc_1(u1_struct_0(A_306),u1_struct_0(A_306)),u1_struct_0(A_306))
| ~ l2_lattices(A_306) ),
inference(resolution,[status(thm)],[c_880,c_216]) ).
tff(c_3337,plain,
! [D_490,E_493,B_489,F_491,A_488,C_492] :
( ( F_491 = C_492 )
| ( g3_lattices(D_490,E_493,F_491) != g3_lattices(A_488,B_489,C_492) )
| ~ m1_relset_1(C_492,k2_zfmisc_1(A_488,A_488),A_488)
| ~ v1_funct_2(C_492,k2_zfmisc_1(A_488,A_488),A_488)
| ~ v1_funct_1(C_492)
| ~ m1_relset_1(B_489,k2_zfmisc_1(A_488,A_488),A_488)
| ~ v1_funct_2(B_489,k2_zfmisc_1(A_488,A_488),A_488)
| ~ v1_funct_1(B_489) ),
inference(cnfTransformation,[status(thm)],[f_343]) ).
tff(c_3345,plain,
! [F_491,D_490,E_493] :
( ( u1_lattices('#skF_2') = F_491 )
| ( g3_lattices(u1_struct_0('#skF_1'),u2_lattices('#skF_1'),u1_lattices('#skF_1')) != g3_lattices(D_490,E_493,F_491) )
| ~ m1_relset_1(u1_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ~ v1_funct_2(u1_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ~ v1_funct_1(u1_lattices('#skF_2'))
| ~ m1_relset_1(u2_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ~ v1_funct_2(u2_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ~ v1_funct_1(u2_lattices('#skF_2')) ),
inference(superposition,[status(thm),theory(equality)],[c_14,c_3337]) ).
tff(c_5185,plain,
! [F_491,D_490,E_493] :
( ( u1_lattices('#skF_2') = F_491 )
| ( g3_lattices(u1_struct_0('#skF_1'),u2_lattices('#skF_1'),u1_lattices('#skF_1')) != g3_lattices(D_490,E_493,F_491) )
| ~ m1_relset_1(u1_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ~ v1_funct_2(u1_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ~ v1_funct_1(u1_lattices('#skF_2'))
| ~ m1_relset_1(u2_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2')) ),
inference(demodulation,[status(thm),theory(equality)],[c_4997,c_5131,c_3345]) ).
tff(c_5186,plain,
~ m1_relset_1(u2_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2')),
inference(splitLeft,[status(thm)],[c_5185]) ).
tff(c_5189,plain,
~ l2_lattices('#skF_2'),
inference(resolution,[status(thm)],[c_888,c_5186]) ).
tff(c_5193,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_275,c_5189]) ).
tff(c_5195,plain,
m1_relset_1(u2_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2')),
inference(splitRight,[status(thm)],[c_5185]) ).
tff(c_775,plain,
! [A_289] :
( m2_relset_1(u1_lattices(A_289),k2_zfmisc_1(u1_struct_0(A_289),u1_struct_0(A_289)),u1_struct_0(A_289))
| ~ l1_lattices(A_289) ),
inference(cnfTransformation,[status(thm)],[f_243]) ).
tff(c_783,plain,
! [A_289] :
( m1_relset_1(u1_lattices(A_289),k2_zfmisc_1(u1_struct_0(A_289),u1_struct_0(A_289)),u1_struct_0(A_289))
| ~ l1_lattices(A_289) ),
inference(resolution,[status(thm)],[c_775,c_216]) ).
tff(c_5194,plain,
! [F_491,D_490,E_493] :
( ~ v1_funct_1(u1_lattices('#skF_2'))
| ~ v1_funct_2(u1_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ~ m1_relset_1(u1_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ( u1_lattices('#skF_2') = F_491 )
| ( g3_lattices(u1_struct_0('#skF_1'),u2_lattices('#skF_1'),u1_lattices('#skF_1')) != g3_lattices(D_490,E_493,F_491) ) ),
inference(splitRight,[status(thm)],[c_5185]) ).
tff(c_5378,plain,
~ m1_relset_1(u1_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2')),
inference(splitLeft,[status(thm)],[c_5194]) ).
tff(c_5381,plain,
~ l1_lattices('#skF_2'),
inference(resolution,[status(thm)],[c_783,c_5378]) ).
tff(c_5385,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_297,c_5381]) ).
tff(c_5387,plain,
m1_relset_1(u1_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2')),
inference(splitRight,[status(thm)],[c_5194]) ).
tff(c_2106,plain,
! [F_448,D_447,B_446,A_445,C_449,E_450] :
( ( E_450 = B_446 )
| ( g3_lattices(D_447,E_450,F_448) != g3_lattices(A_445,B_446,C_449) )
| ~ m1_relset_1(C_449,k2_zfmisc_1(A_445,A_445),A_445)
| ~ v1_funct_2(C_449,k2_zfmisc_1(A_445,A_445),A_445)
| ~ v1_funct_1(C_449)
| ~ m1_relset_1(B_446,k2_zfmisc_1(A_445,A_445),A_445)
| ~ v1_funct_2(B_446,k2_zfmisc_1(A_445,A_445),A_445)
| ~ v1_funct_1(B_446) ),
inference(cnfTransformation,[status(thm)],[f_343]) ).
tff(c_2114,plain,
! [E_450,D_447,F_448] :
( ( u2_lattices('#skF_2') = E_450 )
| ( g3_lattices(u1_struct_0('#skF_1'),u2_lattices('#skF_1'),u1_lattices('#skF_1')) != g3_lattices(D_447,E_450,F_448) )
| ~ m1_relset_1(u1_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ~ v1_funct_2(u1_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ~ v1_funct_1(u1_lattices('#skF_2'))
| ~ m1_relset_1(u2_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ~ v1_funct_2(u2_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ~ v1_funct_1(u2_lattices('#skF_2')) ),
inference(superposition,[status(thm),theory(equality)],[c_14,c_2106]) ).
tff(c_5393,plain,
! [E_450,D_447,F_448] :
( ( u2_lattices('#skF_2') = E_450 )
| ( g3_lattices(u1_struct_0('#skF_1'),u2_lattices('#skF_1'),u1_lattices('#skF_1')) != g3_lattices(D_447,E_450,F_448) )
| ~ v1_funct_2(u1_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ~ v1_funct_1(u1_lattices('#skF_2')) ),
inference(demodulation,[status(thm),theory(equality)],[c_4997,c_5131,c_5195,c_5387,c_2114]) ).
tff(c_5394,plain,
~ v1_funct_1(u1_lattices('#skF_2')),
inference(splitLeft,[status(thm)],[c_5393]) ).
tff(c_5397,plain,
~ l1_lattices('#skF_2'),
inference(resolution,[status(thm)],[c_108,c_5394]) ).
tff(c_5401,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_297,c_5397]) ).
tff(c_5403,plain,
v1_funct_1(u1_lattices('#skF_2')),
inference(splitRight,[status(thm)],[c_5393]) ).
tff(c_106,plain,
! [A_118] :
( v1_funct_2(u1_lattices(A_118),k2_zfmisc_1(u1_struct_0(A_118),u1_struct_0(A_118)),u1_struct_0(A_118))
| ~ l1_lattices(A_118) ),
inference(cnfTransformation,[status(thm)],[f_243]) ).
tff(c_5402,plain,
! [E_450,D_447,F_448] :
( ~ v1_funct_2(u1_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ( u2_lattices('#skF_2') = E_450 )
| ( g3_lattices(u1_struct_0('#skF_1'),u2_lattices('#skF_1'),u1_lattices('#skF_1')) != g3_lattices(D_447,E_450,F_448) ) ),
inference(splitRight,[status(thm)],[c_5393]) ).
tff(c_5404,plain,
~ v1_funct_2(u1_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2')),
inference(splitLeft,[status(thm)],[c_5402]) ).
tff(c_5407,plain,
~ l1_lattices('#skF_2'),
inference(resolution,[status(thm)],[c_106,c_5404]) ).
tff(c_5411,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_297,c_5407]) ).
tff(c_5413,plain,
v1_funct_2(u1_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2')),
inference(splitRight,[status(thm)],[c_5402]) ).
tff(c_5386,plain,
! [F_491,D_490,E_493] :
( ~ v1_funct_2(u1_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ~ v1_funct_1(u1_lattices('#skF_2'))
| ( u1_lattices('#skF_2') = F_491 )
| ( g3_lattices(u1_struct_0('#skF_1'),u2_lattices('#skF_1'),u1_lattices('#skF_1')) != g3_lattices(D_490,E_493,F_491) ) ),
inference(splitRight,[status(thm)],[c_5194]) ).
tff(c_5514,plain,
! [F_491,D_490,E_493] :
( ( u1_lattices('#skF_2') = F_491 )
| ( g3_lattices(u1_struct_0('#skF_1'),u2_lattices('#skF_1'),u1_lattices('#skF_1')) != g3_lattices(D_490,E_493,F_491) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5403,c_5413,c_5386]) ).
tff(c_5517,plain,
u1_lattices('#skF_2') = u1_lattices('#skF_1'),
inference(reflexivity,[status(thm),theory(equality)],[c_5514]) ).
tff(c_5533,plain,
m1_relset_1(u1_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2')),
inference(demodulation,[status(thm),theory(equality)],[c_5517,c_5387]) ).
tff(c_5530,plain,
v1_funct_2(u1_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2')),
inference(demodulation,[status(thm),theory(equality)],[c_5517,c_5413]) ).
tff(c_5531,plain,
v1_funct_1(u1_lattices('#skF_1')),
inference(demodulation,[status(thm),theory(equality)],[c_5517,c_5403]) ).
tff(c_5412,plain,
! [E_450,D_447,F_448] :
( ( u2_lattices('#skF_2') = E_450 )
| ( g3_lattices(u1_struct_0('#skF_1'),u2_lattices('#skF_1'),u1_lattices('#skF_1')) != g3_lattices(D_447,E_450,F_448) ) ),
inference(splitRight,[status(thm)],[c_5402]) ).
tff(c_5452,plain,
u2_lattices('#skF_2') = u2_lattices('#skF_1'),
inference(reflexivity,[status(thm),theory(equality)],[c_5412]) ).
tff(c_5469,plain,
m1_relset_1(u2_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2')),
inference(demodulation,[status(thm),theory(equality)],[c_5452,c_5195]) ).
tff(c_5130,plain,
! [D_465,E_468,F_466] :
( ~ m1_relset_1(u2_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ~ v1_funct_1(u1_lattices('#skF_2'))
| ~ v1_funct_2(u1_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ~ m1_relset_1(u1_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ( u1_struct_0('#skF_2') = D_465 )
| ( g3_lattices(u1_struct_0('#skF_1'),u2_lattices('#skF_1'),u1_lattices('#skF_1')) != g3_lattices(D_465,E_468,F_466) ) ),
inference(splitRight,[status(thm)],[c_5103]) ).
tff(c_62591,plain,
! [D_465,E_468,F_466] :
( ( u1_struct_0('#skF_2') = D_465 )
| ( g3_lattices(u1_struct_0('#skF_1'),u2_lattices('#skF_1'),u1_lattices('#skF_1')) != g3_lattices(D_465,E_468,F_466) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5533,c_5517,c_5530,c_5517,c_5531,c_5517,c_5469,c_5452,c_5130]) ).
tff(c_62594,plain,
u1_struct_0('#skF_2') = u1_struct_0('#skF_1'),
inference(reflexivity,[status(thm),theory(equality)],[c_62591]) ).
tff(c_62627,plain,
m1_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(demodulation,[status(thm),theory(equality)],[c_62594,c_62594,c_62594,c_5469]) ).
tff(c_6,plain,
m1_subset_1('#skF_6',u1_struct_0('#skF_2')),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_243,plain,
m1_subset_1('#skF_4',u1_struct_0('#skF_2')),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_6]) ).
tff(c_2006,plain,
! [F_427,A_432,E_430,C_431,B_429,D_428] :
( ( k2_binop_1(A_432,B_429,C_431,D_428,E_430,F_427) = k1_binop_1(D_428,E_430,F_427) )
| ~ m1_subset_1(F_427,B_429)
| ~ m1_subset_1(E_430,A_432)
| ~ m1_relset_1(D_428,k2_zfmisc_1(A_432,B_429),C_431)
| ~ v1_funct_2(D_428,k2_zfmisc_1(A_432,B_429),C_431)
| ~ v1_funct_1(D_428)
| v1_xboole_0(B_429)
| v1_xboole_0(A_432) ),
inference(cnfTransformation,[status(thm)],[f_434]) ).
tff(c_2061,plain,
! [A_432,C_431,D_428,E_430] :
( ( k2_binop_1(A_432,u1_struct_0('#skF_2'),C_431,D_428,E_430,'#skF_4') = k1_binop_1(D_428,E_430,'#skF_4') )
| ~ m1_subset_1(E_430,A_432)
| ~ m1_relset_1(D_428,k2_zfmisc_1(A_432,u1_struct_0('#skF_2')),C_431)
| ~ v1_funct_2(D_428,k2_zfmisc_1(A_432,u1_struct_0('#skF_2')),C_431)
| ~ v1_funct_1(D_428)
| v1_xboole_0(u1_struct_0('#skF_2'))
| v1_xboole_0(A_432) ),
inference(resolution,[status(thm)],[c_243,c_2006]) ).
tff(c_3999,plain,
! [A_432,C_431,D_428,E_430] :
( ( k2_binop_1(A_432,u1_struct_0('#skF_2'),C_431,D_428,E_430,'#skF_4') = k1_binop_1(D_428,E_430,'#skF_4') )
| ~ m1_subset_1(E_430,A_432)
| ~ m1_relset_1(D_428,k2_zfmisc_1(A_432,u1_struct_0('#skF_2')),C_431)
| ~ v1_funct_2(D_428,k2_zfmisc_1(A_432,u1_struct_0('#skF_2')),C_431)
| ~ v1_funct_1(D_428)
| v1_xboole_0(A_432) ),
inference(negUnitSimplification,[status(thm)],[c_3426,c_2061]) ).
tff(c_5151,plain,
! [E_430] :
( ( k2_binop_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2'),u1_struct_0('#skF_2'),u2_lattices('#skF_2'),E_430,'#skF_4') = k1_binop_1(u2_lattices('#skF_2'),E_430,'#skF_4') )
| ~ m1_subset_1(E_430,u1_struct_0('#skF_2'))
| ~ m1_relset_1(u2_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ~ v1_funct_1(u2_lattices('#skF_2'))
| v1_xboole_0(u1_struct_0('#skF_2')) ),
inference(resolution,[status(thm)],[c_5131,c_3999]) ).
tff(c_5164,plain,
! [E_430] :
( ( k2_binop_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2'),u1_struct_0('#skF_2'),u2_lattices('#skF_2'),E_430,'#skF_4') = k1_binop_1(u2_lattices('#skF_2'),E_430,'#skF_4') )
| ~ m1_subset_1(E_430,u1_struct_0('#skF_2'))
| ~ m1_relset_1(u2_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| v1_xboole_0(u1_struct_0('#skF_2')) ),
inference(demodulation,[status(thm),theory(equality)],[c_4997,c_5151]) ).
tff(c_5165,plain,
! [E_430] :
( ( k2_binop_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2'),u1_struct_0('#skF_2'),u2_lattices('#skF_2'),E_430,'#skF_4') = k1_binop_1(u2_lattices('#skF_2'),E_430,'#skF_4') )
| ~ m1_subset_1(E_430,u1_struct_0('#skF_2'))
| ~ m1_relset_1(u2_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2')) ),
inference(negUnitSimplification,[status(thm)],[c_3426,c_5164]) ).
tff(c_67384,plain,
! [E_1806] :
( ( k2_binop_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),u2_lattices('#skF_1'),E_1806,'#skF_4') = k1_binop_1(u2_lattices('#skF_1'),E_1806,'#skF_4') )
| ~ m1_subset_1(E_1806,u1_struct_0('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_62627,c_5452,c_62594,c_62594,c_62594,c_62594,c_5452,c_5452,c_62594,c_62594,c_62594,c_5165]) ).
tff(c_52,plain,
! [A_74,B_78,C_80] :
( ( k2_binop_1(u1_struct_0(A_74),u1_struct_0(A_74),u1_struct_0(A_74),u2_lattices(A_74),B_78,C_80) = k1_lattices(A_74,B_78,C_80) )
| ~ m1_subset_1(C_80,u1_struct_0(A_74))
| ~ m1_subset_1(B_78,u1_struct_0(A_74))
| ~ l2_lattices(A_74)
| v3_struct_0(A_74) ),
inference(cnfTransformation,[status(thm)],[f_130]) ).
tff(c_67393,plain,
! [E_1806] :
( ( k1_binop_1(u2_lattices('#skF_1'),E_1806,'#skF_4') = k1_lattices('#skF_1',E_1806,'#skF_4') )
| ~ m1_subset_1('#skF_4',u1_struct_0('#skF_1'))
| ~ m1_subset_1(E_1806,u1_struct_0('#skF_1'))
| ~ l2_lattices('#skF_1')
| v3_struct_0('#skF_1')
| ~ m1_subset_1(E_1806,u1_struct_0('#skF_1')) ),
inference(superposition,[status(thm),theory(equality)],[c_67384,c_52]) ).
tff(c_67406,plain,
! [E_1806] :
( ( k1_binop_1(u2_lattices('#skF_1'),E_1806,'#skF_4') = k1_lattices('#skF_1',E_1806,'#skF_4') )
| v3_struct_0('#skF_1')
| ~ m1_subset_1(E_1806,u1_struct_0('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_276,c_10,c_67393]) ).
tff(c_67467,plain,
! [E_1807] :
( ( k1_binop_1(u2_lattices('#skF_1'),E_1807,'#skF_4') = k1_lattices('#skF_1',E_1807,'#skF_4') )
| ~ m1_subset_1(E_1807,u1_struct_0('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_22,c_67406]) ).
tff(c_67618,plain,
k1_binop_1(u2_lattices('#skF_1'),'#skF_3','#skF_4') = k1_lattices('#skF_1','#skF_3','#skF_4'),
inference(resolution,[status(thm)],[c_12,c_67467]) ).
tff(c_67383,plain,
! [E_430] :
( ( k2_binop_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),u2_lattices('#skF_1'),E_430,'#skF_4') = k1_binop_1(u2_lattices('#skF_1'),E_430,'#skF_4') )
| ~ m1_subset_1(E_430,u1_struct_0('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_62627,c_5452,c_62594,c_62594,c_62594,c_62594,c_5452,c_5452,c_62594,c_62594,c_62594,c_5165]) ).
tff(c_62717,plain,
! [B_78,C_80] :
( ( k2_binop_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_2'),u1_struct_0('#skF_2'),u2_lattices('#skF_2'),B_78,C_80) = k1_lattices('#skF_2',B_78,C_80) )
| ~ m1_subset_1(C_80,u1_struct_0('#skF_2'))
| ~ m1_subset_1(B_78,u1_struct_0('#skF_2'))
| ~ l2_lattices('#skF_2')
| v3_struct_0('#skF_2') ),
inference(superposition,[status(thm),theory(equality)],[c_62594,c_52]) ).
tff(c_62873,plain,
! [B_78,C_80] :
( ( k2_binop_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),u2_lattices('#skF_1'),B_78,C_80) = k1_lattices('#skF_2',B_78,C_80) )
| ~ m1_subset_1(C_80,u1_struct_0('#skF_1'))
| ~ m1_subset_1(B_78,u1_struct_0('#skF_1'))
| v3_struct_0('#skF_2') ),
inference(demodulation,[status(thm),theory(equality)],[c_275,c_62594,c_62594,c_62594,c_62594,c_5452,c_62717]) ).
tff(c_70007,plain,
! [B_1854,C_1855] :
( ( k2_binop_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),u2_lattices('#skF_1'),B_1854,C_1855) = k1_lattices('#skF_2',B_1854,C_1855) )
| ~ m1_subset_1(C_1855,u1_struct_0('#skF_1'))
| ~ m1_subset_1(B_1854,u1_struct_0('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_18,c_62873]) ).
tff(c_70036,plain,
! [E_430] :
( ( k1_binop_1(u2_lattices('#skF_1'),E_430,'#skF_4') = k1_lattices('#skF_2',E_430,'#skF_4') )
| ~ m1_subset_1('#skF_4',u1_struct_0('#skF_1'))
| ~ m1_subset_1(E_430,u1_struct_0('#skF_1'))
| ~ m1_subset_1(E_430,u1_struct_0('#skF_1')) ),
inference(superposition,[status(thm),theory(equality)],[c_67383,c_70007]) ).
tff(c_70536,plain,
! [E_1858] :
( ( k1_binop_1(u2_lattices('#skF_1'),E_1858,'#skF_4') = k1_lattices('#skF_2',E_1858,'#skF_4') )
| ~ m1_subset_1(E_1858,u1_struct_0('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_70036]) ).
tff(c_70709,plain,
k1_binop_1(u2_lattices('#skF_1'),'#skF_3','#skF_4') = k1_lattices('#skF_2','#skF_3','#skF_4'),
inference(resolution,[status(thm)],[c_12,c_70536]) ).
tff(c_70791,plain,
k1_lattices('#skF_2','#skF_3','#skF_4') = k1_lattices('#skF_1','#skF_3','#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_67618,c_70709]) ).
tff(c_70793,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_399,c_70791]) ).
tff(c_70794,plain,
( ( k2_lattices('#skF_2','#skF_3','#skF_4') != k2_lattices('#skF_1','#skF_3','#skF_4') )
| r1_lattices('#skF_2','#skF_3','#skF_4')
| r1_lattices('#skF_1','#skF_3','#skF_4') ),
inference(splitRight,[status(thm)],[c_244]) ).
tff(c_70977,plain,
k2_lattices('#skF_2','#skF_3','#skF_4') != k2_lattices('#skF_1','#skF_3','#skF_4'),
inference(splitLeft,[status(thm)],[c_70794]) ).
tff(c_298,plain,
l1_lattices('#skF_1'),
inference(resolution,[status(thm)],[c_20,c_281]) ).
tff(c_71191,plain,
! [A_1953,C_1954,B_1955] :
( m1_subset_1(A_1953,C_1954)
| ~ m1_subset_1(B_1955,k1_zfmisc_1(C_1954))
| ~ r2_hidden(A_1953,B_1955) ),
inference(cnfTransformation,[status(thm)],[f_460]) ).
tff(c_71842,plain,
! [A_2038,A_2039,B_2040,C_2041] :
( m1_subset_1(A_2038,k2_zfmisc_1(A_2039,B_2040))
| ~ r2_hidden(A_2038,C_2041)
| ~ m2_relset_1(C_2041,A_2039,B_2040) ),
inference(resolution,[status(thm)],[c_102,c_71191]) ).
tff(c_72746,plain,
! [A_2112,A_2113,B_2114,B_2115] :
( m1_subset_1(A_2112,k2_zfmisc_1(A_2113,B_2114))
| ~ m2_relset_1(B_2115,A_2113,B_2114)
| v1_xboole_0(B_2115)
| ~ m1_subset_1(A_2112,B_2115) ),
inference(resolution,[status(thm)],[c_224,c_71842]) ).
tff(c_73926,plain,
! [A_2155,A_2156,B_2157,C_2158] :
( m1_subset_1(A_2155,k2_zfmisc_1(A_2156,B_2157))
| v1_xboole_0(C_2158)
| ~ m1_subset_1(A_2155,C_2158)
| ~ m1_relset_1(C_2158,A_2156,B_2157) ),
inference(resolution,[status(thm)],[c_218,c_72746]) ).
tff(c_73988,plain,
! [A_2156,B_2157] :
( m1_subset_1('#skF_3',k2_zfmisc_1(A_2156,B_2157))
| v1_xboole_0(u1_struct_0('#skF_2'))
| ~ m1_relset_1(u1_struct_0('#skF_2'),A_2156,B_2157) ),
inference(resolution,[status(thm)],[c_239,c_73926]) ).
tff(c_74049,plain,
v1_xboole_0(u1_struct_0('#skF_2')),
inference(splitLeft,[status(thm)],[c_73988]) ).
tff(c_74060,plain,
( ~ l1_struct_0('#skF_2')
| v3_struct_0('#skF_2') ),
inference(resolution,[status(thm)],[c_74049,c_132]) ).
tff(c_74075,plain,
v3_struct_0('#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_378,c_74060]) ).
tff(c_74077,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18,c_74075]) ).
tff(c_74079,plain,
~ v1_xboole_0(u1_struct_0('#skF_2')),
inference(splitRight,[status(thm)],[c_73988]) ).
tff(c_72478,plain,
! [A_2090,B_2091,C_2092] :
( ~ v3_struct_0(g3_lattices(A_2090,B_2091,C_2092))
| ~ m1_relset_1(C_2092,k2_zfmisc_1(A_2090,A_2090),A_2090)
| ~ v1_funct_2(C_2092,k2_zfmisc_1(A_2090,A_2090),A_2090)
| ~ v1_funct_1(C_2092)
| ~ m1_relset_1(B_2091,k2_zfmisc_1(A_2090,A_2090),A_2090)
| ~ v1_funct_2(B_2091,k2_zfmisc_1(A_2090,A_2090),A_2090)
| ~ v1_funct_1(B_2091)
| v1_xboole_0(A_2090) ),
inference(cnfTransformation,[status(thm)],[f_303]) ).
tff(c_72482,plain,
( ~ v3_struct_0(g3_lattices(u1_struct_0('#skF_1'),u2_lattices('#skF_1'),u1_lattices('#skF_1')))
| ~ m1_relset_1(u1_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ~ v1_funct_2(u1_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ~ v1_funct_1(u1_lattices('#skF_2'))
| ~ m1_relset_1(u2_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ~ v1_funct_2(u2_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ~ v1_funct_1(u2_lattices('#skF_2'))
| v1_xboole_0(u1_struct_0('#skF_2')) ),
inference(superposition,[status(thm),theory(equality)],[c_14,c_72478]) ).
tff(c_75036,plain,
( ~ v3_struct_0(g3_lattices(u1_struct_0('#skF_1'),u2_lattices('#skF_1'),u1_lattices('#skF_1')))
| ~ m1_relset_1(u1_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ~ v1_funct_2(u1_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ~ v1_funct_1(u1_lattices('#skF_2'))
| ~ m1_relset_1(u2_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ~ v1_funct_2(u2_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ~ v1_funct_1(u2_lattices('#skF_2')) ),
inference(negUnitSimplification,[status(thm)],[c_74079,c_72482]) ).
tff(c_75037,plain,
~ v1_funct_1(u2_lattices('#skF_2')),
inference(splitLeft,[status(thm)],[c_75036]) ).
tff(c_75040,plain,
~ l2_lattices('#skF_2'),
inference(resolution,[status(thm)],[c_116,c_75037]) ).
tff(c_75044,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_275,c_75040]) ).
tff(c_75046,plain,
v1_funct_1(u2_lattices('#skF_2')),
inference(splitRight,[status(thm)],[c_75036]) ).
tff(c_73917,plain,
! [B_2150,E_2154,A_2149,C_2153,D_2151,F_2152] :
( ( D_2151 = A_2149 )
| ( g3_lattices(D_2151,E_2154,F_2152) != g3_lattices(A_2149,B_2150,C_2153) )
| ~ m1_relset_1(C_2153,k2_zfmisc_1(A_2149,A_2149),A_2149)
| ~ v1_funct_2(C_2153,k2_zfmisc_1(A_2149,A_2149),A_2149)
| ~ v1_funct_1(C_2153)
| ~ m1_relset_1(B_2150,k2_zfmisc_1(A_2149,A_2149),A_2149)
| ~ v1_funct_2(B_2150,k2_zfmisc_1(A_2149,A_2149),A_2149)
| ~ v1_funct_1(B_2150) ),
inference(cnfTransformation,[status(thm)],[f_343]) ).
tff(c_73925,plain,
! [D_2151,E_2154,F_2152] :
( ( u1_struct_0('#skF_2') = D_2151 )
| ( g3_lattices(u1_struct_0('#skF_1'),u2_lattices('#skF_1'),u1_lattices('#skF_1')) != g3_lattices(D_2151,E_2154,F_2152) )
| ~ m1_relset_1(u1_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ~ v1_funct_2(u1_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ~ v1_funct_1(u1_lattices('#skF_2'))
| ~ m1_relset_1(u2_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ~ v1_funct_2(u2_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ~ v1_funct_1(u2_lattices('#skF_2')) ),
inference(superposition,[status(thm),theory(equality)],[c_14,c_73917]) ).
tff(c_75516,plain,
! [D_2151,E_2154,F_2152] :
( ( u1_struct_0('#skF_2') = D_2151 )
| ( g3_lattices(u1_struct_0('#skF_1'),u2_lattices('#skF_1'),u1_lattices('#skF_1')) != g3_lattices(D_2151,E_2154,F_2152) )
| ~ m1_relset_1(u1_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ~ v1_funct_2(u1_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ~ v1_funct_1(u1_lattices('#skF_2'))
| ~ m1_relset_1(u2_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ~ v1_funct_2(u2_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2')) ),
inference(demodulation,[status(thm),theory(equality)],[c_75046,c_73925]) ).
tff(c_75517,plain,
~ v1_funct_2(u2_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2')),
inference(splitLeft,[status(thm)],[c_75516]) ).
tff(c_75530,plain,
~ l2_lattices('#skF_2'),
inference(resolution,[status(thm)],[c_114,c_75517]) ).
tff(c_75534,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_275,c_75530]) ).
tff(c_75536,plain,
v1_funct_2(u2_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2')),
inference(splitRight,[status(thm)],[c_75516]) ).
tff(c_71364,plain,
! [A_1973] :
( m2_relset_1(u2_lattices(A_1973),k2_zfmisc_1(u1_struct_0(A_1973),u1_struct_0(A_1973)),u1_struct_0(A_1973))
| ~ l2_lattices(A_1973) ),
inference(cnfTransformation,[status(thm)],[f_251]) ).
tff(c_71372,plain,
! [A_1973] :
( m1_relset_1(u2_lattices(A_1973),k2_zfmisc_1(u1_struct_0(A_1973),u1_struct_0(A_1973)),u1_struct_0(A_1973))
| ~ l2_lattices(A_1973) ),
inference(resolution,[status(thm)],[c_71364,c_216]) ).
tff(c_73490,plain,
! [E_2139,B_2135,F_2137,D_2136,A_2134,C_2138] :
( ( F_2137 = C_2138 )
| ( g3_lattices(D_2136,E_2139,F_2137) != g3_lattices(A_2134,B_2135,C_2138) )
| ~ m1_relset_1(C_2138,k2_zfmisc_1(A_2134,A_2134),A_2134)
| ~ v1_funct_2(C_2138,k2_zfmisc_1(A_2134,A_2134),A_2134)
| ~ v1_funct_1(C_2138)
| ~ m1_relset_1(B_2135,k2_zfmisc_1(A_2134,A_2134),A_2134)
| ~ v1_funct_2(B_2135,k2_zfmisc_1(A_2134,A_2134),A_2134)
| ~ v1_funct_1(B_2135) ),
inference(cnfTransformation,[status(thm)],[f_343]) ).
tff(c_73498,plain,
! [F_2137,D_2136,E_2139] :
( ( u1_lattices('#skF_2') = F_2137 )
| ( g3_lattices(u1_struct_0('#skF_1'),u2_lattices('#skF_1'),u1_lattices('#skF_1')) != g3_lattices(D_2136,E_2139,F_2137) )
| ~ m1_relset_1(u1_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ~ v1_funct_2(u1_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ~ v1_funct_1(u1_lattices('#skF_2'))
| ~ m1_relset_1(u2_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ~ v1_funct_2(u2_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ~ v1_funct_1(u2_lattices('#skF_2')) ),
inference(superposition,[status(thm),theory(equality)],[c_14,c_73490]) ).
tff(c_75672,plain,
! [F_2137,D_2136,E_2139] :
( ( u1_lattices('#skF_2') = F_2137 )
| ( g3_lattices(u1_struct_0('#skF_1'),u2_lattices('#skF_1'),u1_lattices('#skF_1')) != g3_lattices(D_2136,E_2139,F_2137) )
| ~ m1_relset_1(u1_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ~ v1_funct_2(u1_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ~ v1_funct_1(u1_lattices('#skF_2'))
| ~ m1_relset_1(u2_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2')) ),
inference(demodulation,[status(thm),theory(equality)],[c_75046,c_75536,c_73498]) ).
tff(c_75673,plain,
~ m1_relset_1(u2_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2')),
inference(splitLeft,[status(thm)],[c_75672]) ).
tff(c_75676,plain,
~ l2_lattices('#skF_2'),
inference(resolution,[status(thm)],[c_71372,c_75673]) ).
tff(c_75680,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_275,c_75676]) ).
tff(c_75682,plain,
m1_relset_1(u2_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2')),
inference(splitRight,[status(thm)],[c_75672]) ).
tff(c_71398,plain,
! [A_1982] :
( m2_relset_1(u1_lattices(A_1982),k2_zfmisc_1(u1_struct_0(A_1982),u1_struct_0(A_1982)),u1_struct_0(A_1982))
| ~ l1_lattices(A_1982) ),
inference(cnfTransformation,[status(thm)],[f_243]) ).
tff(c_71406,plain,
! [A_1982] :
( m1_relset_1(u1_lattices(A_1982),k2_zfmisc_1(u1_struct_0(A_1982),u1_struct_0(A_1982)),u1_struct_0(A_1982))
| ~ l1_lattices(A_1982) ),
inference(resolution,[status(thm)],[c_71398,c_216]) ).
tff(c_75681,plain,
! [F_2137,D_2136,E_2139] :
( ~ v1_funct_1(u1_lattices('#skF_2'))
| ~ v1_funct_2(u1_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ~ m1_relset_1(u1_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ( u1_lattices('#skF_2') = F_2137 )
| ( g3_lattices(u1_struct_0('#skF_1'),u2_lattices('#skF_1'),u1_lattices('#skF_1')) != g3_lattices(D_2136,E_2139,F_2137) ) ),
inference(splitRight,[status(thm)],[c_75672]) ).
tff(c_75838,plain,
~ m1_relset_1(u1_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2')),
inference(splitLeft,[status(thm)],[c_75681]) ).
tff(c_75841,plain,
~ l1_lattices('#skF_2'),
inference(resolution,[status(thm)],[c_71406,c_75838]) ).
tff(c_75845,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_297,c_75841]) ).
tff(c_75847,plain,
m1_relset_1(u1_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2')),
inference(splitRight,[status(thm)],[c_75681]) ).
tff(c_72763,plain,
! [A_2116,F_2119,D_2118,C_2120,E_2121,B_2117] :
( ( E_2121 = B_2117 )
| ( g3_lattices(D_2118,E_2121,F_2119) != g3_lattices(A_2116,B_2117,C_2120) )
| ~ m1_relset_1(C_2120,k2_zfmisc_1(A_2116,A_2116),A_2116)
| ~ v1_funct_2(C_2120,k2_zfmisc_1(A_2116,A_2116),A_2116)
| ~ v1_funct_1(C_2120)
| ~ m1_relset_1(B_2117,k2_zfmisc_1(A_2116,A_2116),A_2116)
| ~ v1_funct_2(B_2117,k2_zfmisc_1(A_2116,A_2116),A_2116)
| ~ v1_funct_1(B_2117) ),
inference(cnfTransformation,[status(thm)],[f_343]) ).
tff(c_72771,plain,
! [E_2121,D_2118,F_2119] :
( ( u2_lattices('#skF_2') = E_2121 )
| ( g3_lattices(u1_struct_0('#skF_1'),u2_lattices('#skF_1'),u1_lattices('#skF_1')) != g3_lattices(D_2118,E_2121,F_2119) )
| ~ m1_relset_1(u1_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ~ v1_funct_2(u1_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ~ v1_funct_1(u1_lattices('#skF_2'))
| ~ m1_relset_1(u2_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ~ v1_funct_2(u2_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ~ v1_funct_1(u2_lattices('#skF_2')) ),
inference(superposition,[status(thm),theory(equality)],[c_14,c_72763]) ).
tff(c_75853,plain,
! [E_2121,D_2118,F_2119] :
( ( u2_lattices('#skF_2') = E_2121 )
| ( g3_lattices(u1_struct_0('#skF_1'),u2_lattices('#skF_1'),u1_lattices('#skF_1')) != g3_lattices(D_2118,E_2121,F_2119) )
| ~ v1_funct_2(u1_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ~ v1_funct_1(u1_lattices('#skF_2')) ),
inference(demodulation,[status(thm),theory(equality)],[c_75046,c_75536,c_75682,c_75847,c_72771]) ).
tff(c_75854,plain,
~ v1_funct_1(u1_lattices('#skF_2')),
inference(splitLeft,[status(thm)],[c_75853]) ).
tff(c_75857,plain,
~ l1_lattices('#skF_2'),
inference(resolution,[status(thm)],[c_108,c_75854]) ).
tff(c_75861,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_297,c_75857]) ).
tff(c_75863,plain,
v1_funct_1(u1_lattices('#skF_2')),
inference(splitRight,[status(thm)],[c_75853]) ).
tff(c_75862,plain,
! [E_2121,D_2118,F_2119] :
( ~ v1_funct_2(u1_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ( u2_lattices('#skF_2') = E_2121 )
| ( g3_lattices(u1_struct_0('#skF_1'),u2_lattices('#skF_1'),u1_lattices('#skF_1')) != g3_lattices(D_2118,E_2121,F_2119) ) ),
inference(splitRight,[status(thm)],[c_75853]) ).
tff(c_75891,plain,
~ v1_funct_2(u1_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2')),
inference(splitLeft,[status(thm)],[c_75862]) ).
tff(c_75894,plain,
~ l1_lattices('#skF_2'),
inference(resolution,[status(thm)],[c_106,c_75891]) ).
tff(c_75898,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_297,c_75894]) ).
tff(c_75900,plain,
v1_funct_2(u1_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2')),
inference(splitRight,[status(thm)],[c_75862]) ).
tff(c_75846,plain,
! [F_2137,D_2136,E_2139] :
( ~ v1_funct_2(u1_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ~ v1_funct_1(u1_lattices('#skF_2'))
| ( u1_lattices('#skF_2') = F_2137 )
| ( g3_lattices(u1_struct_0('#skF_1'),u2_lattices('#skF_1'),u1_lattices('#skF_1')) != g3_lattices(D_2136,E_2139,F_2137) ) ),
inference(splitRight,[status(thm)],[c_75681]) ).
tff(c_76012,plain,
! [F_2137,D_2136,E_2139] :
( ( u1_lattices('#skF_2') = F_2137 )
| ( g3_lattices(u1_struct_0('#skF_1'),u2_lattices('#skF_1'),u1_lattices('#skF_1')) != g3_lattices(D_2136,E_2139,F_2137) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_75863,c_75900,c_75846]) ).
tff(c_76015,plain,
u1_lattices('#skF_2') = u1_lattices('#skF_1'),
inference(reflexivity,[status(thm),theory(equality)],[c_76012]) ).
tff(c_76031,plain,
m1_relset_1(u1_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2')),
inference(demodulation,[status(thm),theory(equality)],[c_76015,c_75847]) ).
tff(c_76028,plain,
v1_funct_2(u1_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2')),
inference(demodulation,[status(thm),theory(equality)],[c_76015,c_75900]) ).
tff(c_76029,plain,
v1_funct_1(u1_lattices('#skF_1')),
inference(demodulation,[status(thm),theory(equality)],[c_76015,c_75863]) ).
tff(c_75899,plain,
! [E_2121,D_2118,F_2119] :
( ( u2_lattices('#skF_2') = E_2121 )
| ( g3_lattices(u1_struct_0('#skF_1'),u2_lattices('#skF_1'),u1_lattices('#skF_1')) != g3_lattices(D_2118,E_2121,F_2119) ) ),
inference(splitRight,[status(thm)],[c_75862]) ).
tff(c_75950,plain,
u2_lattices('#skF_2') = u2_lattices('#skF_1'),
inference(reflexivity,[status(thm),theory(equality)],[c_75899]) ).
tff(c_75967,plain,
m1_relset_1(u2_lattices('#skF_1'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2')),
inference(demodulation,[status(thm),theory(equality)],[c_75950,c_75682]) ).
tff(c_75535,plain,
! [D_2151,E_2154,F_2152] :
( ~ m1_relset_1(u2_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ~ v1_funct_1(u1_lattices('#skF_2'))
| ~ v1_funct_2(u1_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ~ m1_relset_1(u1_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ( u1_struct_0('#skF_2') = D_2151 )
| ( g3_lattices(u1_struct_0('#skF_1'),u2_lattices('#skF_1'),u1_lattices('#skF_1')) != g3_lattices(D_2151,E_2154,F_2152) ) ),
inference(splitRight,[status(thm)],[c_75516]) ).
tff(c_135171,plain,
! [D_2151,E_2154,F_2152] :
( ( u1_struct_0('#skF_2') = D_2151 )
| ( g3_lattices(u1_struct_0('#skF_1'),u2_lattices('#skF_1'),u1_lattices('#skF_1')) != g3_lattices(D_2151,E_2154,F_2152) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_76031,c_76015,c_76028,c_76015,c_76029,c_76015,c_75967,c_75950,c_75535]) ).
tff(c_135174,plain,
u1_struct_0('#skF_2') = u1_struct_0('#skF_1'),
inference(reflexivity,[status(thm),theory(equality)],[c_135171]) ).
tff(c_72497,plain,
! [B_2098,C_2100,D_2097,A_2101,F_2096,E_2099] :
( ( k2_binop_1(A_2101,B_2098,C_2100,D_2097,E_2099,F_2096) = k1_binop_1(D_2097,E_2099,F_2096) )
| ~ m1_subset_1(F_2096,B_2098)
| ~ m1_subset_1(E_2099,A_2101)
| ~ m1_relset_1(D_2097,k2_zfmisc_1(A_2101,B_2098),C_2100)
| ~ v1_funct_2(D_2097,k2_zfmisc_1(A_2101,B_2098),C_2100)
| ~ v1_funct_1(D_2097)
| v1_xboole_0(B_2098)
| v1_xboole_0(A_2101) ),
inference(cnfTransformation,[status(thm)],[f_434]) ).
tff(c_72555,plain,
! [A_2101,C_2100,D_2097,E_2099] :
( ( k2_binop_1(A_2101,u1_struct_0('#skF_2'),C_2100,D_2097,E_2099,'#skF_4') = k1_binop_1(D_2097,E_2099,'#skF_4') )
| ~ m1_subset_1(E_2099,A_2101)
| ~ m1_relset_1(D_2097,k2_zfmisc_1(A_2101,u1_struct_0('#skF_2')),C_2100)
| ~ v1_funct_2(D_2097,k2_zfmisc_1(A_2101,u1_struct_0('#skF_2')),C_2100)
| ~ v1_funct_1(D_2097)
| v1_xboole_0(u1_struct_0('#skF_2'))
| v1_xboole_0(A_2101) ),
inference(resolution,[status(thm)],[c_243,c_72497]) ).
tff(c_75235,plain,
! [A_2101,C_2100,D_2097,E_2099] :
( ( k2_binop_1(A_2101,u1_struct_0('#skF_2'),C_2100,D_2097,E_2099,'#skF_4') = k1_binop_1(D_2097,E_2099,'#skF_4') )
| ~ m1_subset_1(E_2099,A_2101)
| ~ m1_relset_1(D_2097,k2_zfmisc_1(A_2101,u1_struct_0('#skF_2')),C_2100)
| ~ v1_funct_2(D_2097,k2_zfmisc_1(A_2101,u1_struct_0('#skF_2')),C_2100)
| ~ v1_funct_1(D_2097)
| v1_xboole_0(A_2101) ),
inference(negUnitSimplification,[status(thm)],[c_74079,c_72555]) ).
tff(c_75902,plain,
! [E_2099] :
( ( k2_binop_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2'),u1_struct_0('#skF_2'),u1_lattices('#skF_2'),E_2099,'#skF_4') = k1_binop_1(u1_lattices('#skF_2'),E_2099,'#skF_4') )
| ~ m1_subset_1(E_2099,u1_struct_0('#skF_2'))
| ~ m1_relset_1(u1_lattices('#skF_2'),k2_zfmisc_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2')),u1_struct_0('#skF_2'))
| ~ v1_funct_1(u1_lattices('#skF_2'))
| v1_xboole_0(u1_struct_0('#skF_2')) ),
inference(resolution,[status(thm)],[c_75900,c_75235]) ).
tff(c_75915,plain,
! [E_2099] :
( ( k2_binop_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2'),u1_struct_0('#skF_2'),u1_lattices('#skF_2'),E_2099,'#skF_4') = k1_binop_1(u1_lattices('#skF_2'),E_2099,'#skF_4') )
| ~ m1_subset_1(E_2099,u1_struct_0('#skF_2'))
| v1_xboole_0(u1_struct_0('#skF_2')) ),
inference(demodulation,[status(thm),theory(equality)],[c_75863,c_75847,c_75902]) ).
tff(c_75916,plain,
! [E_2099] :
( ( k2_binop_1(u1_struct_0('#skF_2'),u1_struct_0('#skF_2'),u1_struct_0('#skF_2'),u1_lattices('#skF_2'),E_2099,'#skF_4') = k1_binop_1(u1_lattices('#skF_2'),E_2099,'#skF_4') )
| ~ m1_subset_1(E_2099,u1_struct_0('#skF_2')) ),
inference(negUnitSimplification,[status(thm)],[c_74079,c_75915]) ).
tff(c_138174,plain,
! [E_3451] :
( ( k2_binop_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),u1_lattices('#skF_1'),E_3451,'#skF_4') = k1_binop_1(u1_lattices('#skF_1'),E_3451,'#skF_4') )
| ~ m1_subset_1(E_3451,u1_struct_0('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_135174,c_135174,c_135174,c_135174,c_76015,c_76015,c_75916]) ).
tff(c_54,plain,
! [A_81,B_85,C_87] :
( ( k2_binop_1(u1_struct_0(A_81),u1_struct_0(A_81),u1_struct_0(A_81),u1_lattices(A_81),B_85,C_87) = k2_lattices(A_81,B_85,C_87) )
| ~ m1_subset_1(C_87,u1_struct_0(A_81))
| ~ m1_subset_1(B_85,u1_struct_0(A_81))
| ~ l1_lattices(A_81)
| v3_struct_0(A_81) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_138183,plain,
! [E_3451] :
( ( k1_binop_1(u1_lattices('#skF_1'),E_3451,'#skF_4') = k2_lattices('#skF_1',E_3451,'#skF_4') )
| ~ m1_subset_1('#skF_4',u1_struct_0('#skF_1'))
| ~ m1_subset_1(E_3451,u1_struct_0('#skF_1'))
| ~ l1_lattices('#skF_1')
| v3_struct_0('#skF_1')
| ~ m1_subset_1(E_3451,u1_struct_0('#skF_1')) ),
inference(superposition,[status(thm),theory(equality)],[c_138174,c_54]) ).
tff(c_138196,plain,
! [E_3451] :
( ( k1_binop_1(u1_lattices('#skF_1'),E_3451,'#skF_4') = k2_lattices('#skF_1',E_3451,'#skF_4') )
| v3_struct_0('#skF_1')
| ~ m1_subset_1(E_3451,u1_struct_0('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_298,c_10,c_138183]) ).
tff(c_138249,plain,
! [E_3453] :
( ( k1_binop_1(u1_lattices('#skF_1'),E_3453,'#skF_4') = k2_lattices('#skF_1',E_3453,'#skF_4') )
| ~ m1_subset_1(E_3453,u1_struct_0('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_22,c_138196]) ).
tff(c_138352,plain,
k1_binop_1(u1_lattices('#skF_1'),'#skF_3','#skF_4') = k2_lattices('#skF_1','#skF_3','#skF_4'),
inference(resolution,[status(thm)],[c_12,c_138249]) ).
tff(c_138173,plain,
! [E_2099] :
( ( k2_binop_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),u1_lattices('#skF_1'),E_2099,'#skF_4') = k1_binop_1(u1_lattices('#skF_1'),E_2099,'#skF_4') )
| ~ m1_subset_1(E_2099,u1_struct_0('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_135174,c_135174,c_135174,c_135174,c_76015,c_76015,c_75916]) ).
tff(c_135302,plain,
! [B_85,C_87] :
( ( k2_binop_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_2'),u1_struct_0('#skF_2'),u1_lattices('#skF_2'),B_85,C_87) = k2_lattices('#skF_2',B_85,C_87) )
| ~ m1_subset_1(C_87,u1_struct_0('#skF_2'))
| ~ m1_subset_1(B_85,u1_struct_0('#skF_2'))
| ~ l1_lattices('#skF_2')
| v3_struct_0('#skF_2') ),
inference(superposition,[status(thm),theory(equality)],[c_135174,c_54]) ).
tff(c_135458,plain,
! [B_85,C_87] :
( ( k2_binop_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),u1_lattices('#skF_1'),B_85,C_87) = k2_lattices('#skF_2',B_85,C_87) )
| ~ m1_subset_1(C_87,u1_struct_0('#skF_1'))
| ~ m1_subset_1(B_85,u1_struct_0('#skF_1'))
| v3_struct_0('#skF_2') ),
inference(demodulation,[status(thm),theory(equality)],[c_297,c_135174,c_135174,c_135174,c_135174,c_76015,c_135302]) ).
tff(c_142708,plain,
! [B_3526,C_3527] :
( ( k2_binop_1(u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),u1_struct_0('#skF_1'),u1_lattices('#skF_1'),B_3526,C_3527) = k2_lattices('#skF_2',B_3526,C_3527) )
| ~ m1_subset_1(C_3527,u1_struct_0('#skF_1'))
| ~ m1_subset_1(B_3526,u1_struct_0('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_18,c_135458]) ).
tff(c_142744,plain,
! [E_2099] :
( ( k1_binop_1(u1_lattices('#skF_1'),E_2099,'#skF_4') = k2_lattices('#skF_2',E_2099,'#skF_4') )
| ~ m1_subset_1('#skF_4',u1_struct_0('#skF_1'))
| ~ m1_subset_1(E_2099,u1_struct_0('#skF_1'))
| ~ m1_subset_1(E_2099,u1_struct_0('#skF_1')) ),
inference(superposition,[status(thm),theory(equality)],[c_138173,c_142708]) ).
tff(c_143247,plain,
! [E_3530] :
( ( k1_binop_1(u1_lattices('#skF_1'),E_3530,'#skF_4') = k2_lattices('#skF_2',E_3530,'#skF_4') )
| ~ m1_subset_1(E_3530,u1_struct_0('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_142744]) ).
tff(c_143423,plain,
k1_binop_1(u1_lattices('#skF_1'),'#skF_3','#skF_4') = k2_lattices('#skF_2','#skF_3','#skF_4'),
inference(resolution,[status(thm)],[c_12,c_143247]) ).
tff(c_143509,plain,
k2_lattices('#skF_2','#skF_3','#skF_4') = k2_lattices('#skF_1','#skF_3','#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_138352,c_143423]) ).
tff(c_143511,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70977,c_143509]) ).
tff(c_143512,plain,
( r1_lattices('#skF_1','#skF_3','#skF_4')
| r1_lattices('#skF_2','#skF_3','#skF_4') ),
inference(splitRight,[status(thm)],[c_70794]) ).
tff(c_143519,plain,
r1_lattices('#skF_2','#skF_3','#skF_4'),
inference(splitLeft,[status(thm)],[c_143512]) ).
tff(c_143513,plain,
k2_lattices('#skF_2','#skF_3','#skF_4') = k2_lattices('#skF_1','#skF_3','#skF_4'),
inference(splitRight,[status(thm)],[c_70794]) ).
tff(c_70795,plain,
k1_lattices('#skF_2','#skF_3','#skF_4') = k1_lattices('#skF_1','#skF_3','#skF_4'),
inference(splitRight,[status(thm)],[c_244]) ).
tff(c_24,plain,
( ~ r1_lattices('#skF_2','#skF_5','#skF_6')
| ~ r1_lattices('#skF_1','#skF_3','#skF_4')
| ( k2_lattices('#skF_2','#skF_5','#skF_6') != k2_lattices('#skF_1','#skF_3','#skF_4') )
| ( k1_lattices('#skF_2','#skF_5','#skF_6') != k1_lattices('#skF_1','#skF_3','#skF_4') ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_241,plain,
( ~ r1_lattices('#skF_2','#skF_3','#skF_6')
| ~ r1_lattices('#skF_1','#skF_3','#skF_4')
| ( k2_lattices('#skF_2','#skF_3','#skF_6') != k2_lattices('#skF_1','#skF_3','#skF_4') )
| ( k1_lattices('#skF_2','#skF_3','#skF_6') != k1_lattices('#skF_1','#skF_3','#skF_4') ) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_4,c_4,c_24]) ).
tff(c_242,plain,
( ~ r1_lattices('#skF_2','#skF_3','#skF_4')
| ~ r1_lattices('#skF_1','#skF_3','#skF_4')
| ( k2_lattices('#skF_2','#skF_3','#skF_4') != k2_lattices('#skF_1','#skF_3','#skF_4') )
| ( k1_lattices('#skF_2','#skF_3','#skF_4') != k1_lattices('#skF_1','#skF_3','#skF_4') ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_2,c_241]) ).
tff(c_70842,plain,
k1_lattices('#skF_2','#skF_3','#skF_4') != k1_lattices('#skF_1','#skF_3','#skF_4'),
inference(splitLeft,[status(thm)],[c_242]) ).
tff(c_70873,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_70795,c_70842]) ).
tff(c_70874,plain,
( ( k2_lattices('#skF_2','#skF_3','#skF_4') != k2_lattices('#skF_1','#skF_3','#skF_4') )
| ~ r1_lattices('#skF_1','#skF_3','#skF_4')
| ~ r1_lattices('#skF_2','#skF_3','#skF_4') ),
inference(splitRight,[status(thm)],[c_242]) ).
tff(c_143549,plain,
~ r1_lattices('#skF_1','#skF_3','#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_143519,c_143513,c_70874]) ).
tff(c_144198,plain,
! [A_3632,B_3633,C_3634] :
( r1_lattices(A_3632,B_3633,C_3634)
| ( k1_lattices(A_3632,B_3633,C_3634) != C_3634 )
| ~ m1_subset_1(C_3634,u1_struct_0(A_3632))
| ~ m1_subset_1(B_3633,u1_struct_0(A_3632))
| ~ l2_lattices(A_3632)
| v3_struct_0(A_3632) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_144217,plain,
! [B_3633] :
( r1_lattices('#skF_1',B_3633,'#skF_4')
| ( k1_lattices('#skF_1',B_3633,'#skF_4') != '#skF_4' )
| ~ m1_subset_1(B_3633,u1_struct_0('#skF_1'))
| ~ l2_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_10,c_144198]) ).
tff(c_144243,plain,
! [B_3633] :
( r1_lattices('#skF_1',B_3633,'#skF_4')
| ( k1_lattices('#skF_1',B_3633,'#skF_4') != '#skF_4' )
| ~ m1_subset_1(B_3633,u1_struct_0('#skF_1'))
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_276,c_144217]) ).
tff(c_144278,plain,
! [B_3641] :
( r1_lattices('#skF_1',B_3641,'#skF_4')
| ( k1_lattices('#skF_1',B_3641,'#skF_4') != '#skF_4' )
| ~ m1_subset_1(B_3641,u1_struct_0('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_22,c_144243]) ).
tff(c_144293,plain,
( r1_lattices('#skF_1','#skF_3','#skF_4')
| ( k1_lattices('#skF_1','#skF_3','#skF_4') != '#skF_4' ) ),
inference(resolution,[status(thm)],[c_12,c_144278]) ).
tff(c_144308,plain,
k1_lattices('#skF_1','#skF_3','#skF_4') != '#skF_4',
inference(negUnitSimplification,[status(thm)],[c_143549,c_144293]) ).
tff(c_144311,plain,
! [A_3642,B_3643,C_3644] :
( ( k1_lattices(A_3642,B_3643,C_3644) = C_3644 )
| ~ r1_lattices(A_3642,B_3643,C_3644)
| ~ m1_subset_1(C_3644,u1_struct_0(A_3642))
| ~ m1_subset_1(B_3643,u1_struct_0(A_3642))
| ~ l2_lattices(A_3642)
| v3_struct_0(A_3642) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_144313,plain,
( ( k1_lattices('#skF_2','#skF_3','#skF_4') = '#skF_4' )
| ~ m1_subset_1('#skF_4',u1_struct_0('#skF_2'))
| ~ m1_subset_1('#skF_3',u1_struct_0('#skF_2'))
| ~ l2_lattices('#skF_2')
| v3_struct_0('#skF_2') ),
inference(resolution,[status(thm)],[c_143519,c_144311]) ).
tff(c_144316,plain,
( ( k1_lattices('#skF_1','#skF_3','#skF_4') = '#skF_4' )
| v3_struct_0('#skF_2') ),
inference(demodulation,[status(thm),theory(equality)],[c_275,c_239,c_243,c_70795,c_144313]) ).
tff(c_144318,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18,c_144308,c_144316]) ).
tff(c_144320,plain,
~ r1_lattices('#skF_2','#skF_3','#skF_4'),
inference(splitRight,[status(thm)],[c_143512]) ).
tff(c_144319,plain,
r1_lattices('#skF_1','#skF_3','#skF_4'),
inference(splitRight,[status(thm)],[c_143512]) ).
tff(c_144997,plain,
! [A_3744,B_3745,C_3746] :
( ( k1_lattices(A_3744,B_3745,C_3746) = C_3746 )
| ~ r1_lattices(A_3744,B_3745,C_3746)
| ~ m1_subset_1(C_3746,u1_struct_0(A_3744))
| ~ m1_subset_1(B_3745,u1_struct_0(A_3744))
| ~ l2_lattices(A_3744)
| v3_struct_0(A_3744) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_144999,plain,
( ( k1_lattices('#skF_1','#skF_3','#skF_4') = '#skF_4' )
| ~ m1_subset_1('#skF_4',u1_struct_0('#skF_1'))
| ~ m1_subset_1('#skF_3',u1_struct_0('#skF_1'))
| ~ l2_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_144319,c_144997]) ).
tff(c_145002,plain,
( ( k1_lattices('#skF_1','#skF_3','#skF_4') = '#skF_4' )
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_276,c_12,c_10,c_144999]) ).
tff(c_145003,plain,
k1_lattices('#skF_1','#skF_3','#skF_4') = '#skF_4',
inference(negUnitSimplification,[status(thm)],[c_22,c_145002]) ).
tff(c_145005,plain,
k1_lattices('#skF_2','#skF_3','#skF_4') = '#skF_4',
inference(demodulation,[status(thm),theory(equality)],[c_145003,c_70795]) ).
tff(c_145062,plain,
! [A_3753,B_3754,C_3755] :
( r1_lattices(A_3753,B_3754,C_3755)
| ( k1_lattices(A_3753,B_3754,C_3755) != C_3755 )
| ~ m1_subset_1(C_3755,u1_struct_0(A_3753))
| ~ m1_subset_1(B_3754,u1_struct_0(A_3753))
| ~ l2_lattices(A_3753)
| v3_struct_0(A_3753) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_145075,plain,
! [B_3754] :
( r1_lattices('#skF_2',B_3754,'#skF_4')
| ( k1_lattices('#skF_2',B_3754,'#skF_4') != '#skF_4' )
| ~ m1_subset_1(B_3754,u1_struct_0('#skF_2'))
| ~ l2_lattices('#skF_2')
| v3_struct_0('#skF_2') ),
inference(resolution,[status(thm)],[c_243,c_145062]) ).
tff(c_145093,plain,
! [B_3754] :
( r1_lattices('#skF_2',B_3754,'#skF_4')
| ( k1_lattices('#skF_2',B_3754,'#skF_4') != '#skF_4' )
| ~ m1_subset_1(B_3754,u1_struct_0('#skF_2'))
| v3_struct_0('#skF_2') ),
inference(demodulation,[status(thm),theory(equality)],[c_275,c_145075]) ).
tff(c_145186,plain,
! [B_3770] :
( r1_lattices('#skF_2',B_3770,'#skF_4')
| ( k1_lattices('#skF_2',B_3770,'#skF_4') != '#skF_4' )
| ~ m1_subset_1(B_3770,u1_struct_0('#skF_2')) ),
inference(negUnitSimplification,[status(thm)],[c_18,c_145093]) ).
tff(c_145204,plain,
( r1_lattices('#skF_2','#skF_3','#skF_4')
| ( k1_lattices('#skF_2','#skF_3','#skF_4') != '#skF_4' ) ),
inference(resolution,[status(thm)],[c_239,c_145186]) ).
tff(c_145220,plain,
r1_lattices('#skF_2','#skF_3','#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_145005,c_145204]) ).
tff(c_145222,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_144320,c_145220]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LAT295+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.33 % Computer : n006.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 12:39:29 EDT 2023
% 0.14/0.33 % CPUTime :
% 60.88/41.03 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 60.88/41.06
% 60.88/41.06 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 61.11/41.12
% 61.11/41.12 Inference rules
% 61.11/41.12 ----------------------
% 61.11/41.12 #Ref : 97
% 61.11/41.12 #Sup : 33496
% 61.11/41.12 #Fact : 0
% 61.11/41.12 #Define : 0
% 61.11/41.12 #Split : 444
% 61.11/41.12 #Chain : 0
% 61.11/41.12 #Close : 0
% 61.11/41.12
% 61.11/41.12 Ordering : KBO
% 61.11/41.12
% 61.11/41.12 Simplification rules
% 61.11/41.12 ----------------------
% 61.11/41.12 #Subsume : 2218
% 61.11/41.12 #Demod : 33728
% 61.11/41.12 #Tautology : 4275
% 61.11/41.12 #SimpNegUnit : 6056
% 61.11/41.12 #BackRed : 426
% 61.11/41.12
% 61.11/41.12 #Partial instantiations: 0
% 61.11/41.12 #Strategies tried : 1
% 61.11/41.12
% 61.11/41.12 Timing (in seconds)
% 61.11/41.12 ----------------------
% 61.11/41.12 Preprocessing : 0.81
% 61.11/41.12 Parsing : 0.41
% 61.11/41.12 CNF conversion : 0.09
% 61.11/41.12 Main loop : 39.16
% 61.11/41.12 Inferencing : 6.48
% 61.11/41.12 Reduction : 20.23
% 61.11/41.12 Demodulation : 16.33
% 61.11/41.12 BG Simplification : 0.50
% 61.11/41.12 Subsumption : 9.29
% 61.11/41.12 Abstraction : 1.06
% 61.11/41.12 MUC search : 0.00
% 61.11/41.12 Cooper : 0.00
% 61.11/41.12 Total : 40.08
% 61.11/41.12 Index Insertion : 0.00
% 61.11/41.12 Index Deletion : 0.00
% 61.11/41.12 Index Matching : 0.00
% 61.11/41.12 BG Taut test : 0.00
%------------------------------------------------------------------------------