TSTP Solution File: LAT309+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LAT309+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 : n024.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 10:46:46 EDT 2023
% Result : Theorem 12.37s 3.79s
% Output : CNFRefutation 12.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 97
% Syntax : Number of formulae : 211 ( 46 unt; 78 typ; 0 def)
% Number of atoms : 429 ( 50 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 484 ( 188 ~; 201 |; 63 &)
% ( 2 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 91 ( 61 >; 30 *; 0 +; 0 <<)
% Number of predicates : 37 ( 35 usr; 1 prp; 0-3 aty)
% Number of functors : 43 ( 43 usr; 17 con; 0-3 aty)
% Number of variables : 72 (; 72 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ v1_partfun1 > v1_funct_2 > m2_relset_1 > m1_relset_1 > v2_binop_1 > v1_filter_0 > v1_binop_1 > r2_hidden > r2_filter_2 > r1_tarski > m2_lattice4 > m2_filter_2 > m1_subset_1 > m1_filter_2 > m1_filter_0 > v9_lattices > v8_lattices > v7_lattices > v6_lattices > v5_lattices > v4_lattices > v3_struct_0 > v3_lattices > v2_funct_1 > v1_xboole_0 > v1_relat_1 > v1_funct_1 > v15_lattices > v14_lattices > v13_lattices > v10_lattices > l3_lattices > l2_lattices > l1_struct_0 > l1_lattices > g3_lattices > k8_filter_2 > k7_filter_2 > k5_filter_2 > k2_zfmisc_1 > k15_filter_2 > k14_filter_2 > #nlpp > u2_lattices > u1_struct_0 > u1_lattices > k6_lattices > k5_lattices > k1_zfmisc_1 > k1_lattice2 > k1_xboole_0 > #skF_25 > #skF_7 > #skF_16 > #skF_18 > #skF_15 > #skF_8 > #skF_19 > #skF_13 > #skF_26 > #skF_14 > #skF_5 > #skF_10 > #skF_6 > #skF_2 > #skF_3 > #skF_1 > #skF_21 > #skF_28 > #skF_4 > #skF_17 > #skF_11 > #skF_22 > #skF_24 > #skF_27 > #skF_23 > #skF_12 > #skF_9 > #skF_20
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(l3_lattices,type,
l3_lattices: $i > $o ).
tff(k1_lattice2,type,
k1_lattice2: $i > $i ).
tff(k6_lattices,type,
k6_lattices: $i > $i ).
tff('#skF_25',type,
'#skF_25': $i > $i ).
tff('#skF_7',type,
'#skF_7': $i > $i ).
tff(m2_relset_1,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff('#skF_16',type,
'#skF_16': $i > $i ).
tff(k5_filter_2,type,
k5_filter_2: ( $i * $i ) > $i ).
tff(l2_lattices,type,
l2_lattices: $i > $o ).
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 ).
tff(r2_hidden,type,
r2_hidden: ( $i * $i ) > $o ).
tff(v1_filter_0,type,
v1_filter_0: ( $i * $i ) > $o ).
tff('#skF_15',type,
'#skF_15': $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(m2_filter_2,type,
m2_filter_2: ( $i * $i ) > $o ).
tff(l1_lattices,type,
l1_lattices: $i > $o ).
tff('#skF_8',type,
'#skF_8': $i > $i ).
tff('#skF_19',type,
'#skF_19': $i ).
tff('#skF_13',type,
'#skF_13': ( $i * $i ) > $i ).
tff(k14_filter_2,type,
k14_filter_2: ( $i * $i ) > $i ).
tff(r1_tarski,type,
r1_tarski: ( $i * $i ) > $o ).
tff(m1_relset_1,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff('#skF_26',type,
'#skF_26': $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(v4_lattices,type,
v4_lattices: $i > $o ).
tff('#skF_10',type,
'#skF_10': $i > $i ).
tff(m1_filter_0,type,
m1_filter_0: ( $i * $i ) > $o ).
tff('#skF_6',type,
'#skF_6': $i ).
tff(v6_lattices,type,
v6_lattices: $i > $o ).
tff('#skF_2',type,
'#skF_2': $i ).
tff(u2_lattices,type,
u2_lattices: $i > $i ).
tff(v9_lattices,type,
v9_lattices: $i > $o ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(m1_filter_2,type,
m1_filter_2: ( $i * $i ) > $o ).
tff(u1_lattices,type,
u1_lattices: $i > $i ).
tff(g3_lattices,type,
g3_lattices: ( $i * $i * $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(k1_zfmisc_1,type,
k1_zfmisc_1: $i > $i ).
tff(k8_filter_2,type,
k8_filter_2: ( $i * $i ) > $i ).
tff(l1_struct_0,type,
l1_struct_0: $i > $o ).
tff('#skF_28',type,
'#skF_28': ( $i * $i ) > $i ).
tff(k15_filter_2,type,
k15_filter_2: ( $i * $i ) > $i ).
tff(v1_binop_1,type,
v1_binop_1: ( $i * $i ) > $o ).
tff(v2_binop_1,type,
v2_binop_1: ( $i * $i ) > $o ).
tff(v14_lattices,type,
v14_lattices: $i > $o ).
tff(v1_relat_1,type,
v1_relat_1: $i > $o ).
tff(k2_zfmisc_1,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff(v13_lattices,type,
v13_lattices: $i > $o ).
tff(k7_filter_2,type,
k7_filter_2: ( $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': $i ).
tff('#skF_17',type,
'#skF_17': $i > $i ).
tff('#skF_11',type,
'#skF_11': $i > $i ).
tff('#skF_22',type,
'#skF_22': $i ).
tff(r2_filter_2,type,
r2_filter_2: ( $i * $i ) > $o ).
tff(v8_lattices,type,
v8_lattices: $i > $o ).
tff('#skF_24',type,
'#skF_24': $i ).
tff('#skF_27',type,
'#skF_27': $i ).
tff('#skF_23',type,
'#skF_23': $i ).
tff(v3_lattices,type,
v3_lattices: $i > $o ).
tff(k5_lattices,type,
k5_lattices: $i > $i ).
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('#skF_9',type,
'#skF_9': ( $i * $i ) > $i ).
tff(v15_lattices,type,
v15_lattices: $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(v7_lattices,type,
v7_lattices: $i > $o ).
tff(f_54,negated_conjecture,
~ ! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ~ ( v14_lattices(A)
& ( B != k6_lattices(A) )
& ! [C] :
( m2_filter_2(C,A)
=> ~ ( r2_hidden(B,C)
& r2_filter_2(A,C) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t36_filter_2) ).
tff(f_241,axiom,
! [A] :
( l3_lattices(A)
=> ( v3_lattices(k1_lattice2(A))
& l3_lattices(k1_lattice2(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_lattice2) ).
tff(f_612,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ( ~ v3_struct_0(k1_lattice2(A))
& v3_lattices(k1_lattice2(A))
& v4_lattices(k1_lattice2(A))
& v5_lattices(k1_lattice2(A))
& v6_lattices(k1_lattice2(A))
& v7_lattices(k1_lattice2(A))
& v8_lattices(k1_lattice2(A))
& v9_lattices(k1_lattice2(A))
& v10_lattices(k1_lattice2(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_lattice2) ).
tff(f_173,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ( k5_filter_2(A,B) = B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_filter_2) ).
tff(f_253,axiom,
! [A,B] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A)
& m1_subset_1(B,u1_struct_0(A)) )
=> m1_subset_1(k5_filter_2(A,B),u1_struct_0(k1_lattice2(A))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_filter_2) ).
tff(f_462,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l3_lattices(A) )
=> ( ~ v3_struct_0(k1_lattice2(A))
& v3_lattices(k1_lattice2(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_lattice2) ).
tff(f_879,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ( v14_lattices(A)
<=> v13_lattices(k1_lattice2(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t64_lattice2) ).
tff(f_157,axiom,
! [A] :
( l3_lattices(A)
=> ( ( ~ v3_struct_0(A)
& v15_lattices(A) )
=> ( ~ v3_struct_0(A)
& v13_lattices(A)
& v14_lattices(A) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc4_lattices) ).
tff(f_143,axiom,
! [A] :
( l3_lattices(A)
=> ( ( ~ v3_struct_0(A)
& v13_lattices(A)
& v14_lattices(A) )
=> ( ~ v3_struct_0(A)
& v15_lattices(A) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc3_lattices) ).
tff(f_831,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ~ ( ~ v3_struct_0(A)
& v10_lattices(A)
& v13_lattices(A)
& l3_lattices(A)
& ( B != k5_lattices(A) )
& ! [C] :
( m1_filter_0(C,A)
=> ~ ( r2_hidden(B,C)
& v1_filter_0(C,A) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_filter_0) ).
tff(f_894,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& v14_lattices(A)
& l3_lattices(A) )
=> ( k6_lattices(A) = k5_lattices(k1_lattice2(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t79_lattice2) ).
tff(f_767,axiom,
! [A,B] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A)
& m1_filter_0(B,k1_lattice2(A)) )
=> ( k14_filter_2(A,B) = k8_filter_2(A,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k14_filter_2) ).
tff(f_318,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ! [B] :
( m1_filter_0(B,A)
=> ( ~ v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_filter_0) ).
tff(f_289,axiom,
! [A,B] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))) )
=> m1_subset_1(k8_filter_2(A,B),k1_zfmisc_1(u1_struct_0(A))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_filter_2) ).
tff(f_197,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_lattice2(A))))
=> ( k8_filter_2(A,B) = B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d7_filter_2) ).
tff(f_224,axiom,
! [A,B] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A)
& m1_filter_0(B,k1_lattice2(A)) )
=> m2_filter_2(k14_filter_2(A,B),A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k14_filter_2) ).
tff(f_185,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
=> ( k7_filter_2(A,B) = B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d6_filter_2) ).
tff(f_778,axiom,
! [A,B] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A)
& m2_filter_2(B,A) )
=> ( k15_filter_2(A,B) = k7_filter_2(A,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k15_filter_2) ).
tff(f_851,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ! [B] :
( m2_filter_2(B,A)
=> ( r2_filter_2(A,B)
<=> v1_filter_0(k15_filter_2(A,B),k1_lattice2(A)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t33_filter_2) ).
tff(c_14,plain,
~ v3_struct_0('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_10,plain,
l3_lattices('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_74,plain,
! [A_35] :
( l3_lattices(k1_lattice2(A_35))
| ~ l3_lattices(A_35) ),
inference(cnfTransformation,[status(thm)],[f_241]) ).
tff(c_12,plain,
v10_lattices('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_220,plain,
! [A_96] :
( v10_lattices(k1_lattice2(A_96))
| ~ l3_lattices(A_96)
| ~ v10_lattices(A_96)
| v3_struct_0(A_96) ),
inference(cnfTransformation,[status(thm)],[f_612]) ).
tff(c_8,plain,
m1_subset_1('#skF_2',u1_struct_0('#skF_1')),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_1424,plain,
! [A_379,B_380] :
( ( k5_filter_2(A_379,B_380) = B_380 )
| ~ m1_subset_1(B_380,u1_struct_0(A_379))
| ~ l3_lattices(A_379)
| ~ v10_lattices(A_379)
| v3_struct_0(A_379) ),
inference(cnfTransformation,[status(thm)],[f_173]) ).
tff(c_1441,plain,
( ( k5_filter_2('#skF_1','#skF_2') = '#skF_2' )
| ~ l3_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_8,c_1424]) ).
tff(c_1448,plain,
( ( k5_filter_2('#skF_1','#skF_2') = '#skF_2' )
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_10,c_1441]) ).
tff(c_1449,plain,
k5_filter_2('#skF_1','#skF_2') = '#skF_2',
inference(negUnitSimplification,[status(thm)],[c_14,c_1448]) ).
tff(c_2249,plain,
! [A_472,B_473] :
( m1_subset_1(k5_filter_2(A_472,B_473),u1_struct_0(k1_lattice2(A_472)))
| ~ m1_subset_1(B_473,u1_struct_0(A_472))
| ~ l3_lattices(A_472)
| ~ v10_lattices(A_472)
| v3_struct_0(A_472) ),
inference(cnfTransformation,[status(thm)],[f_253]) ).
tff(c_2268,plain,
( m1_subset_1('#skF_2',u1_struct_0(k1_lattice2('#skF_1')))
| ~ m1_subset_1('#skF_2',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_1449,c_2249]) ).
tff(c_2275,plain,
( m1_subset_1('#skF_2',u1_struct_0(k1_lattice2('#skF_1')))
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_10,c_8,c_2268]) ).
tff(c_2276,plain,
m1_subset_1('#skF_2',u1_struct_0(k1_lattice2('#skF_1'))),
inference(negUnitSimplification,[status(thm)],[c_14,c_2275]) ).
tff(c_60,plain,
! [A_19,B_21] :
( ( k5_filter_2(A_19,B_21) = B_21 )
| ~ m1_subset_1(B_21,u1_struct_0(A_19))
| ~ l3_lattices(A_19)
| ~ v10_lattices(A_19)
| v3_struct_0(A_19) ),
inference(cnfTransformation,[status(thm)],[f_173]) ).
tff(c_2285,plain,
( ( k5_filter_2(k1_lattice2('#skF_1'),'#skF_2') = '#skF_2' )
| ~ l3_lattices(k1_lattice2('#skF_1'))
| ~ v10_lattices(k1_lattice2('#skF_1'))
| v3_struct_0(k1_lattice2('#skF_1')) ),
inference(resolution,[status(thm)],[c_2276,c_60]) ).
tff(c_2322,plain,
~ v10_lattices(k1_lattice2('#skF_1')),
inference(splitLeft,[status(thm)],[c_2285]) ).
tff(c_2376,plain,
( ~ l3_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_220,c_2322]) ).
tff(c_2379,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_10,c_2376]) ).
tff(c_2381,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14,c_2379]) ).
tff(c_2382,plain,
( ~ l3_lattices(k1_lattice2('#skF_1'))
| v3_struct_0(k1_lattice2('#skF_1'))
| ( k5_filter_2(k1_lattice2('#skF_1'),'#skF_2') = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_2285]) ).
tff(c_2384,plain,
~ l3_lattices(k1_lattice2('#skF_1')),
inference(splitLeft,[status(thm)],[c_2382]) ).
tff(c_2388,plain,
~ l3_lattices('#skF_1'),
inference(resolution,[status(thm)],[c_74,c_2384]) ).
tff(c_2392,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_10,c_2388]) ).
tff(c_2393,plain,
( ( k5_filter_2(k1_lattice2('#skF_1'),'#skF_2') = '#skF_2' )
| v3_struct_0(k1_lattice2('#skF_1')) ),
inference(splitRight,[status(thm)],[c_2382]) ).
tff(c_2458,plain,
v3_struct_0(k1_lattice2('#skF_1')),
inference(splitLeft,[status(thm)],[c_2393]) ).
tff(c_164,plain,
! [A_82] :
( ~ v3_struct_0(k1_lattice2(A_82))
| ~ l3_lattices(A_82)
| v3_struct_0(A_82) ),
inference(cnfTransformation,[status(thm)],[f_462]) ).
tff(c_2461,plain,
( ~ l3_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_2458,c_164]) ).
tff(c_2464,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_2461]) ).
tff(c_2466,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14,c_2464]) ).
tff(c_2468,plain,
~ v3_struct_0(k1_lattice2('#skF_1')),
inference(splitRight,[status(thm)],[c_2393]) ).
tff(c_4,plain,
k6_lattices('#skF_1') != '#skF_2',
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_6,plain,
v14_lattices('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_2383,plain,
v10_lattices(k1_lattice2('#skF_1')),
inference(splitRight,[status(thm)],[c_2285]) ).
tff(c_2394,plain,
l3_lattices(k1_lattice2('#skF_1')),
inference(splitRight,[status(thm)],[c_2382]) ).
tff(c_378,plain,
! [A_147] :
( v13_lattices(k1_lattice2(A_147))
| ~ v14_lattices(A_147)
| ~ l3_lattices(A_147)
| ~ v10_lattices(A_147)
| v3_struct_0(A_147) ),
inference(cnfTransformation,[status(thm)],[f_879]) ).
tff(c_52,plain,
! [A_17] :
( v14_lattices(A_17)
| ~ v15_lattices(A_17)
| v3_struct_0(A_17)
| ~ l3_lattices(A_17) ),
inference(cnfTransformation,[status(thm)],[f_157]) ).
tff(c_2480,plain,
( v14_lattices(k1_lattice2('#skF_1'))
| ~ v15_lattices(k1_lattice2('#skF_1'))
| ~ l3_lattices(k1_lattice2('#skF_1')) ),
inference(resolution,[status(thm)],[c_52,c_2468]) ).
tff(c_2495,plain,
( v14_lattices(k1_lattice2('#skF_1'))
| ~ v15_lattices(k1_lattice2('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_2394,c_2480]) ).
tff(c_2603,plain,
~ v15_lattices(k1_lattice2('#skF_1')),
inference(splitLeft,[status(thm)],[c_2495]) ).
tff(c_48,plain,
! [A_16] :
( v15_lattices(A_16)
| ~ v14_lattices(A_16)
| ~ v13_lattices(A_16)
| v3_struct_0(A_16)
| ~ l3_lattices(A_16) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_2477,plain,
( v15_lattices(k1_lattice2('#skF_1'))
| ~ v14_lattices(k1_lattice2('#skF_1'))
| ~ v13_lattices(k1_lattice2('#skF_1'))
| ~ l3_lattices(k1_lattice2('#skF_1')) ),
inference(resolution,[status(thm)],[c_48,c_2468]) ).
tff(c_2492,plain,
( v15_lattices(k1_lattice2('#skF_1'))
| ~ v14_lattices(k1_lattice2('#skF_1'))
| ~ v13_lattices(k1_lattice2('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_2394,c_2477]) ).
tff(c_2605,plain,
( ~ v14_lattices(k1_lattice2('#skF_1'))
| ~ v13_lattices(k1_lattice2('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_2603,c_2492]) ).
tff(c_2606,plain,
~ v13_lattices(k1_lattice2('#skF_1')),
inference(splitLeft,[status(thm)],[c_2605]) ).
tff(c_2609,plain,
( ~ v14_lattices('#skF_1')
| ~ l3_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_378,c_2606]) ).
tff(c_2612,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_10,c_6,c_2609]) ).
tff(c_2614,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14,c_2612]) ).
tff(c_2616,plain,
v13_lattices(k1_lattice2('#skF_1')),
inference(splitRight,[status(thm)],[c_2605]) ).
tff(c_4093,plain,
! [A_545,B_546] :
( m1_filter_0('#skF_28'(A_545,B_546),A_545)
| ( k5_lattices(A_545) = B_546 )
| ~ v13_lattices(A_545)
| ~ m1_subset_1(B_546,u1_struct_0(A_545))
| ~ l3_lattices(A_545)
| ~ v10_lattices(A_545)
| v3_struct_0(A_545) ),
inference(cnfTransformation,[status(thm)],[f_831]) ).
tff(c_4103,plain,
( m1_filter_0('#skF_28'(k1_lattice2('#skF_1'),'#skF_2'),k1_lattice2('#skF_1'))
| ( k5_lattices(k1_lattice2('#skF_1')) = '#skF_2' )
| ~ v13_lattices(k1_lattice2('#skF_1'))
| ~ l3_lattices(k1_lattice2('#skF_1'))
| ~ v10_lattices(k1_lattice2('#skF_1'))
| v3_struct_0(k1_lattice2('#skF_1')) ),
inference(resolution,[status(thm)],[c_2276,c_4093]) ).
tff(c_4132,plain,
( m1_filter_0('#skF_28'(k1_lattice2('#skF_1'),'#skF_2'),k1_lattice2('#skF_1'))
| ( k5_lattices(k1_lattice2('#skF_1')) = '#skF_2' )
| v3_struct_0(k1_lattice2('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_2383,c_2394,c_2616,c_4103]) ).
tff(c_4133,plain,
( m1_filter_0('#skF_28'(k1_lattice2('#skF_1'),'#skF_2'),k1_lattice2('#skF_1'))
| ( k5_lattices(k1_lattice2('#skF_1')) = '#skF_2' ) ),
inference(negUnitSimplification,[status(thm)],[c_2468,c_4132]) ).
tff(c_4149,plain,
k5_lattices(k1_lattice2('#skF_1')) = '#skF_2',
inference(splitLeft,[status(thm)],[c_4133]) ).
tff(c_382,plain,
! [A_149] :
( ( k5_lattices(k1_lattice2(A_149)) = k6_lattices(A_149) )
| ~ l3_lattices(A_149)
| ~ v14_lattices(A_149)
| ~ v10_lattices(A_149)
| v3_struct_0(A_149) ),
inference(cnfTransformation,[status(thm)],[f_894]) ).
tff(c_4156,plain,
( ( k6_lattices('#skF_1') = '#skF_2' )
| ~ l3_lattices('#skF_1')
| ~ v14_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_4149,c_382]) ).
tff(c_4169,plain,
( ( k6_lattices('#skF_1') = '#skF_2' )
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_6,c_10,c_4156]) ).
tff(c_4171,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14,c_4,c_4169]) ).
tff(c_4173,plain,
k5_lattices(k1_lattice2('#skF_1')) != '#skF_2',
inference(splitRight,[status(thm)],[c_4133]) ).
tff(c_4172,plain,
m1_filter_0('#skF_28'(k1_lattice2('#skF_1'),'#skF_2'),k1_lattice2('#skF_1')),
inference(splitRight,[status(thm)],[c_4133]) ).
tff(c_340,plain,
! [A_114,B_115] :
( ( k8_filter_2(A_114,B_115) = k14_filter_2(A_114,B_115) )
| ~ m1_filter_0(B_115,k1_lattice2(A_114))
| ~ l3_lattices(A_114)
| ~ v10_lattices(A_114)
| v3_struct_0(A_114) ),
inference(cnfTransformation,[status(thm)],[f_767]) ).
tff(c_4185,plain,
( ( k8_filter_2('#skF_1','#skF_28'(k1_lattice2('#skF_1'),'#skF_2')) = k14_filter_2('#skF_1','#skF_28'(k1_lattice2('#skF_1'),'#skF_2')) )
| ~ l3_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_4172,c_340]) ).
tff(c_4198,plain,
( ( k8_filter_2('#skF_1','#skF_28'(k1_lattice2('#skF_1'),'#skF_2')) = k14_filter_2('#skF_1','#skF_28'(k1_lattice2('#skF_1'),'#skF_2')) )
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_10,c_4185]) ).
tff(c_4199,plain,
k8_filter_2('#skF_1','#skF_28'(k1_lattice2('#skF_1'),'#skF_2')) = k14_filter_2('#skF_1','#skF_28'(k1_lattice2('#skF_1'),'#skF_2')),
inference(negUnitSimplification,[status(thm)],[c_14,c_4198]) ).
tff(c_104,plain,
! [B_49,A_47] :
( m1_subset_1(B_49,k1_zfmisc_1(u1_struct_0(A_47)))
| ~ m1_filter_0(B_49,A_47)
| ~ l3_lattices(A_47)
| ~ v10_lattices(A_47)
| v3_struct_0(A_47) ),
inference(cnfTransformation,[status(thm)],[f_318]) ).
tff(c_92,plain,
! [A_42,B_43] :
( m1_subset_1(k8_filter_2(A_42,B_43),k1_zfmisc_1(u1_struct_0(A_42)))
| ~ m1_subset_1(B_43,k1_zfmisc_1(u1_struct_0(k1_lattice2(A_42))))
| ~ l3_lattices(A_42)
| ~ v10_lattices(A_42)
| v3_struct_0(A_42) ),
inference(cnfTransformation,[status(thm)],[f_289]) ).
tff(c_4286,plain,
( m1_subset_1(k14_filter_2('#skF_1','#skF_28'(k1_lattice2('#skF_1'),'#skF_2')),k1_zfmisc_1(u1_struct_0('#skF_1')))
| ~ m1_subset_1('#skF_28'(k1_lattice2('#skF_1'),'#skF_2'),k1_zfmisc_1(u1_struct_0(k1_lattice2('#skF_1'))))
| ~ l3_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_4199,c_92]) ).
tff(c_4290,plain,
( m1_subset_1(k14_filter_2('#skF_1','#skF_28'(k1_lattice2('#skF_1'),'#skF_2')),k1_zfmisc_1(u1_struct_0('#skF_1')))
| ~ m1_subset_1('#skF_28'(k1_lattice2('#skF_1'),'#skF_2'),k1_zfmisc_1(u1_struct_0(k1_lattice2('#skF_1'))))
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_10,c_4286]) ).
tff(c_4291,plain,
( m1_subset_1(k14_filter_2('#skF_1','#skF_28'(k1_lattice2('#skF_1'),'#skF_2')),k1_zfmisc_1(u1_struct_0('#skF_1')))
| ~ m1_subset_1('#skF_28'(k1_lattice2('#skF_1'),'#skF_2'),k1_zfmisc_1(u1_struct_0(k1_lattice2('#skF_1')))) ),
inference(negUnitSimplification,[status(thm)],[c_14,c_4290]) ).
tff(c_4293,plain,
~ m1_subset_1('#skF_28'(k1_lattice2('#skF_1'),'#skF_2'),k1_zfmisc_1(u1_struct_0(k1_lattice2('#skF_1')))),
inference(splitLeft,[status(thm)],[c_4291]) ).
tff(c_4296,plain,
( ~ m1_filter_0('#skF_28'(k1_lattice2('#skF_1'),'#skF_2'),k1_lattice2('#skF_1'))
| ~ l3_lattices(k1_lattice2('#skF_1'))
| ~ v10_lattices(k1_lattice2('#skF_1'))
| v3_struct_0(k1_lattice2('#skF_1')) ),
inference(resolution,[status(thm)],[c_104,c_4293]) ).
tff(c_4305,plain,
v3_struct_0(k1_lattice2('#skF_1')),
inference(demodulation,[status(thm),theory(equality)],[c_2383,c_2394,c_4172,c_4296]) ).
tff(c_4307,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2468,c_4305]) ).
tff(c_4309,plain,
m1_subset_1('#skF_28'(k1_lattice2('#skF_1'),'#skF_2'),k1_zfmisc_1(u1_struct_0(k1_lattice2('#skF_1')))),
inference(splitRight,[status(thm)],[c_4291]) ).
tff(c_64,plain,
! [A_25,B_27] :
( ( k8_filter_2(A_25,B_27) = B_27 )
| ~ m1_subset_1(B_27,k1_zfmisc_1(u1_struct_0(k1_lattice2(A_25))))
| ~ l3_lattices(A_25)
| ~ v10_lattices(A_25)
| v3_struct_0(A_25) ),
inference(cnfTransformation,[status(thm)],[f_197]) ).
tff(c_4320,plain,
( ( k8_filter_2('#skF_1','#skF_28'(k1_lattice2('#skF_1'),'#skF_2')) = '#skF_28'(k1_lattice2('#skF_1'),'#skF_2') )
| ~ l3_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_4309,c_64]) ).
tff(c_4346,plain,
( ( k14_filter_2('#skF_1','#skF_28'(k1_lattice2('#skF_1'),'#skF_2')) = '#skF_28'(k1_lattice2('#skF_1'),'#skF_2') )
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_10,c_4199,c_4320]) ).
tff(c_4347,plain,
k14_filter_2('#skF_1','#skF_28'(k1_lattice2('#skF_1'),'#skF_2')) = '#skF_28'(k1_lattice2('#skF_1'),'#skF_2'),
inference(negUnitSimplification,[status(thm)],[c_14,c_4346]) ).
tff(c_70,plain,
! [A_31,B_32] :
( m2_filter_2(k14_filter_2(A_31,B_32),A_31)
| ~ m1_filter_0(B_32,k1_lattice2(A_31))
| ~ l3_lattices(A_31)
| ~ v10_lattices(A_31)
| v3_struct_0(A_31) ),
inference(cnfTransformation,[status(thm)],[f_224]) ).
tff(c_4447,plain,
( m2_filter_2('#skF_28'(k1_lattice2('#skF_1'),'#skF_2'),'#skF_1')
| ~ m1_filter_0('#skF_28'(k1_lattice2('#skF_1'),'#skF_2'),k1_lattice2('#skF_1'))
| ~ l3_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_4347,c_70]) ).
tff(c_4451,plain,
( m2_filter_2('#skF_28'(k1_lattice2('#skF_1'),'#skF_2'),'#skF_1')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_10,c_4172,c_4447]) ).
tff(c_4452,plain,
m2_filter_2('#skF_28'(k1_lattice2('#skF_1'),'#skF_2'),'#skF_1'),
inference(negUnitSimplification,[status(thm)],[c_14,c_4451]) ).
tff(c_356,plain,
! [A_128,B_132] :
( v1_filter_0('#skF_28'(A_128,B_132),A_128)
| ( k5_lattices(A_128) = B_132 )
| ~ v13_lattices(A_128)
| ~ m1_subset_1(B_132,u1_struct_0(A_128))
| ~ l3_lattices(A_128)
| ~ v10_lattices(A_128)
| v3_struct_0(A_128) ),
inference(cnfTransformation,[status(thm)],[f_831]) ).
tff(c_4308,plain,
m1_subset_1(k14_filter_2('#skF_1','#skF_28'(k1_lattice2('#skF_1'),'#skF_2')),k1_zfmisc_1(u1_struct_0('#skF_1'))),
inference(splitRight,[status(thm)],[c_4291]) ).
tff(c_4441,plain,
m1_subset_1('#skF_28'(k1_lattice2('#skF_1'),'#skF_2'),k1_zfmisc_1(u1_struct_0('#skF_1'))),
inference(demodulation,[status(thm),theory(equality)],[c_4347,c_4308]) ).
tff(c_62,plain,
! [A_22,B_24] :
( ( k7_filter_2(A_22,B_24) = B_24 )
| ~ m1_subset_1(B_24,k1_zfmisc_1(u1_struct_0(A_22)))
| ~ l3_lattices(A_22)
| ~ v10_lattices(A_22)
| v3_struct_0(A_22) ),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_4498,plain,
( ( k7_filter_2('#skF_1','#skF_28'(k1_lattice2('#skF_1'),'#skF_2')) = '#skF_28'(k1_lattice2('#skF_1'),'#skF_2') )
| ~ l3_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_4441,c_62]) ).
tff(c_4517,plain,
( ( k7_filter_2('#skF_1','#skF_28'(k1_lattice2('#skF_1'),'#skF_2')) = '#skF_28'(k1_lattice2('#skF_1'),'#skF_2') )
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_10,c_4498]) ).
tff(c_4518,plain,
k7_filter_2('#skF_1','#skF_28'(k1_lattice2('#skF_1'),'#skF_2')) = '#skF_28'(k1_lattice2('#skF_1'),'#skF_2'),
inference(negUnitSimplification,[status(thm)],[c_14,c_4517]) ).
tff(c_342,plain,
! [A_116,B_117] :
( ( k7_filter_2(A_116,B_117) = k15_filter_2(A_116,B_117) )
| ~ m2_filter_2(B_117,A_116)
| ~ l3_lattices(A_116)
| ~ v10_lattices(A_116)
| v3_struct_0(A_116) ),
inference(cnfTransformation,[status(thm)],[f_778]) ).
tff(c_4459,plain,
( ( k7_filter_2('#skF_1','#skF_28'(k1_lattice2('#skF_1'),'#skF_2')) = k15_filter_2('#skF_1','#skF_28'(k1_lattice2('#skF_1'),'#skF_2')) )
| ~ l3_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_4452,c_342]) ).
tff(c_4469,plain,
( ( k7_filter_2('#skF_1','#skF_28'(k1_lattice2('#skF_1'),'#skF_2')) = k15_filter_2('#skF_1','#skF_28'(k1_lattice2('#skF_1'),'#skF_2')) )
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_10,c_4459]) ).
tff(c_4470,plain,
k7_filter_2('#skF_1','#skF_28'(k1_lattice2('#skF_1'),'#skF_2')) = k15_filter_2('#skF_1','#skF_28'(k1_lattice2('#skF_1'),'#skF_2')),
inference(negUnitSimplification,[status(thm)],[c_14,c_4469]) ).
tff(c_4704,plain,
k15_filter_2('#skF_1','#skF_28'(k1_lattice2('#skF_1'),'#skF_2')) = '#skF_28'(k1_lattice2('#skF_1'),'#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_4518,c_4470]) ).
tff(c_366,plain,
! [A_136,B_138] :
( v1_filter_0(k15_filter_2(A_136,B_138),k1_lattice2(A_136))
| ~ r2_filter_2(A_136,B_138)
| ~ m2_filter_2(B_138,A_136)
| ~ l3_lattices(A_136)
| ~ v10_lattices(A_136)
| v3_struct_0(A_136) ),
inference(cnfTransformation,[status(thm)],[f_851]) ).
tff(c_4711,plain,
( v1_filter_0('#skF_28'(k1_lattice2('#skF_1'),'#skF_2'),k1_lattice2('#skF_1'))
| ~ r2_filter_2('#skF_1','#skF_28'(k1_lattice2('#skF_1'),'#skF_2'))
| ~ m2_filter_2('#skF_28'(k1_lattice2('#skF_1'),'#skF_2'),'#skF_1')
| ~ l3_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_4704,c_366]) ).
tff(c_4721,plain,
( v1_filter_0('#skF_28'(k1_lattice2('#skF_1'),'#skF_2'),k1_lattice2('#skF_1'))
| ~ r2_filter_2('#skF_1','#skF_28'(k1_lattice2('#skF_1'),'#skF_2'))
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_10,c_4452,c_4711]) ).
tff(c_4722,plain,
( v1_filter_0('#skF_28'(k1_lattice2('#skF_1'),'#skF_2'),k1_lattice2('#skF_1'))
| ~ r2_filter_2('#skF_1','#skF_28'(k1_lattice2('#skF_1'),'#skF_2')) ),
inference(negUnitSimplification,[status(thm)],[c_14,c_4721]) ).
tff(c_4855,plain,
~ r2_filter_2('#skF_1','#skF_28'(k1_lattice2('#skF_1'),'#skF_2')),
inference(splitLeft,[status(thm)],[c_4722]) ).
tff(c_364,plain,
! [A_136,B_138] :
( r2_filter_2(A_136,B_138)
| ~ v1_filter_0(k15_filter_2(A_136,B_138),k1_lattice2(A_136))
| ~ m2_filter_2(B_138,A_136)
| ~ l3_lattices(A_136)
| ~ v10_lattices(A_136)
| v3_struct_0(A_136) ),
inference(cnfTransformation,[status(thm)],[f_851]) ).
tff(c_4708,plain,
( r2_filter_2('#skF_1','#skF_28'(k1_lattice2('#skF_1'),'#skF_2'))
| ~ v1_filter_0('#skF_28'(k1_lattice2('#skF_1'),'#skF_2'),k1_lattice2('#skF_1'))
| ~ m2_filter_2('#skF_28'(k1_lattice2('#skF_1'),'#skF_2'),'#skF_1')
| ~ l3_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_4704,c_364]) ).
tff(c_4718,plain,
( r2_filter_2('#skF_1','#skF_28'(k1_lattice2('#skF_1'),'#skF_2'))
| ~ v1_filter_0('#skF_28'(k1_lattice2('#skF_1'),'#skF_2'),k1_lattice2('#skF_1'))
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_10,c_4452,c_4708]) ).
tff(c_4719,plain,
( r2_filter_2('#skF_1','#skF_28'(k1_lattice2('#skF_1'),'#skF_2'))
| ~ v1_filter_0('#skF_28'(k1_lattice2('#skF_1'),'#skF_2'),k1_lattice2('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_14,c_4718]) ).
tff(c_4856,plain,
~ v1_filter_0('#skF_28'(k1_lattice2('#skF_1'),'#skF_2'),k1_lattice2('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_4855,c_4719]) ).
tff(c_4859,plain,
( ( k5_lattices(k1_lattice2('#skF_1')) = '#skF_2' )
| ~ v13_lattices(k1_lattice2('#skF_1'))
| ~ m1_subset_1('#skF_2',u1_struct_0(k1_lattice2('#skF_1')))
| ~ l3_lattices(k1_lattice2('#skF_1'))
| ~ v10_lattices(k1_lattice2('#skF_1'))
| v3_struct_0(k1_lattice2('#skF_1')) ),
inference(resolution,[status(thm)],[c_356,c_4856]) ).
tff(c_4862,plain,
( ( k5_lattices(k1_lattice2('#skF_1')) = '#skF_2' )
| v3_struct_0(k1_lattice2('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_2383,c_2394,c_2276,c_2616,c_4859]) ).
tff(c_4864,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2468,c_4173,c_4862]) ).
tff(c_4866,plain,
r2_filter_2('#skF_1','#skF_28'(k1_lattice2('#skF_1'),'#skF_2')),
inference(splitRight,[status(thm)],[c_4722]) ).
tff(c_4208,plain,
! [B_547,A_548] :
( r2_hidden(B_547,'#skF_28'(A_548,B_547))
| ( k5_lattices(A_548) = B_547 )
| ~ v13_lattices(A_548)
| ~ m1_subset_1(B_547,u1_struct_0(A_548))
| ~ l3_lattices(A_548)
| ~ v10_lattices(A_548)
| v3_struct_0(A_548) ),
inference(cnfTransformation,[status(thm)],[f_831]) ).
tff(c_2,plain,
! [C_5] :
( ~ r2_filter_2('#skF_1',C_5)
| ~ r2_hidden('#skF_2',C_5)
| ~ m2_filter_2(C_5,'#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_4951,plain,
! [A_587] :
( ~ r2_filter_2('#skF_1','#skF_28'(A_587,'#skF_2'))
| ~ m2_filter_2('#skF_28'(A_587,'#skF_2'),'#skF_1')
| ( k5_lattices(A_587) = '#skF_2' )
| ~ v13_lattices(A_587)
| ~ m1_subset_1('#skF_2',u1_struct_0(A_587))
| ~ l3_lattices(A_587)
| ~ v10_lattices(A_587)
| v3_struct_0(A_587) ),
inference(resolution,[status(thm)],[c_4208,c_2]) ).
tff(c_4954,plain,
( ~ m2_filter_2('#skF_28'(k1_lattice2('#skF_1'),'#skF_2'),'#skF_1')
| ( k5_lattices(k1_lattice2('#skF_1')) = '#skF_2' )
| ~ v13_lattices(k1_lattice2('#skF_1'))
| ~ m1_subset_1('#skF_2',u1_struct_0(k1_lattice2('#skF_1')))
| ~ l3_lattices(k1_lattice2('#skF_1'))
| ~ v10_lattices(k1_lattice2('#skF_1'))
| v3_struct_0(k1_lattice2('#skF_1')) ),
inference(resolution,[status(thm)],[c_4866,c_4951]) ).
tff(c_4957,plain,
( ( k5_lattices(k1_lattice2('#skF_1')) = '#skF_2' )
| v3_struct_0(k1_lattice2('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_2383,c_2394,c_2276,c_2616,c_4452,c_4954]) ).
tff(c_4959,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2468,c_4173,c_4957]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LAT309+1 : TPTP v8.1.2. Released v3.4.0.
% 0.14/0.14 % 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
% 0.14/0.36 % Computer : n024.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 12:40:45 EDT 2023
% 0.14/0.36 % CPUTime :
% 12.37/3.79 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.37/3.80
% 12.37/3.80 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 12.54/3.85
% 12.54/3.85 Inference rules
% 12.54/3.85 ----------------------
% 12.54/3.85 #Ref : 3
% 12.54/3.85 #Sup : 971
% 12.54/3.85 #Fact : 0
% 12.54/3.85 #Define : 0
% 12.54/3.85 #Split : 36
% 12.54/3.85 #Chain : 0
% 12.54/3.85 #Close : 0
% 12.54/3.85
% 12.54/3.85 Ordering : KBO
% 12.54/3.85
% 12.54/3.85 Simplification rules
% 12.54/3.85 ----------------------
% 12.54/3.85 #Subsume : 163
% 12.54/3.85 #Demod : 642
% 12.54/3.85 #Tautology : 233
% 12.54/3.85 #SimpNegUnit : 217
% 12.54/3.85 #BackRed : 18
% 12.54/3.85
% 12.54/3.85 #Partial instantiations: 0
% 12.54/3.85 #Strategies tried : 1
% 12.54/3.85
% 12.54/3.85 Timing (in seconds)
% 12.54/3.85 ----------------------
% 12.54/3.85 Preprocessing : 0.79
% 12.54/3.85 Parsing : 0.40
% 12.54/3.85 CNF conversion : 0.07
% 12.54/3.85 Main loop : 1.95
% 12.54/3.85 Inferencing : 0.63
% 12.54/3.85 Reduction : 0.74
% 12.54/3.85 Demodulation : 0.51
% 12.54/3.85 BG Simplification : 0.07
% 12.54/3.85 Subsumption : 0.37
% 12.54/3.85 Abstraction : 0.05
% 12.54/3.85 MUC search : 0.00
% 12.54/3.85 Cooper : 0.00
% 12.54/3.85 Total : 2.82
% 12.54/3.85 Index Insertion : 0.00
% 12.54/3.85 Index Deletion : 0.00
% 12.54/3.85 Index Matching : 0.00
% 12.54/3.85 BG Taut test : 0.00
%------------------------------------------------------------------------------