TSTP Solution File: LAT337+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LAT337+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 : n014.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 10:46:53 EDT 2023
% Result : Theorem 19.50s 7.14s
% Output : CNFRefutation 19.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 92
% Syntax : Number of formulae : 239 ( 70 unt; 76 typ; 0 def)
% Number of atoms : 550 ( 23 equ)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 667 ( 280 ~; 286 |; 74 &)
% ( 0 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 82 ( 55 >; 27 *; 0 +; 0 <<)
% Number of predicates : 39 ( 37 usr; 1 prp; 0-3 aty)
% Number of functors : 39 ( 39 usr; 21 con; 0-3 aty)
% Number of variables : 107 (; 105 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ v1_partfun1 > v1_funct_2 > r3_lattices > r1_lattices > m2_relset_1 > m1_relset_1 > v2_binop_1 > v1_binop_1 > r2_hidden > r1_tarski > m2_nat_lat > m2_lattice4 > m1_subset_1 > 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 > v17_lattices > v16_lattices > v15_lattices > v14_lattices > v13_lattices > v12_lattices > v11_lattices > v10_lattices > l3_lattices > l2_lattices > l1_struct_0 > l1_lattices > k22_filter_2 > g3_lattices > k2_zfmisc_1 > k23_filter_2 > #nlpp > u2_lattices > u1_struct_0 > u1_lattices > k1_zfmisc_1 > k1_xboole_0 > #skF_9 > #skF_18 > #skF_17 > #skF_15 > #skF_19 > #skF_25 > #skF_7 > #skF_16 > #skF_26 > #skF_12 > #skF_14 > #skF_5 > #skF_28 > #skF_10 > #skF_6 > #skF_13 > #skF_2 > #skF_3 > #skF_1 > #skF_8 > #skF_21 > #skF_23 > #skF_30 > #skF_4 > #skF_11 > #skF_22 > #skF_29 > #skF_24 > #skF_27 > #skF_20
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(l3_lattices,type,
l3_lattices: $i > $o ).
tff('#skF_9',type,
'#skF_9': $i > $i ).
tff(v12_lattices,type,
v12_lattices: $i > $o ).
tff(m2_relset_1,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
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(r3_lattices,type,
r3_lattices: ( $i * $i * $i ) > $o ).
tff('#skF_18',type,
'#skF_18': $i > $i ).
tff(m2_nat_lat,type,
m2_nat_lat: ( $i * $i ) > $o ).
tff('#skF_17',type,
'#skF_17': $i ).
tff(r2_hidden,type,
r2_hidden: ( $i * $i ) > $o ).
tff('#skF_15',type,
'#skF_15': $i ).
tff(v1_partfun1,type,
v1_partfun1: ( $i * $i * $i ) > $o ).
tff('#skF_19',type,
'#skF_19': $i > $i ).
tff('#skF_25',type,
'#skF_25': $i ).
tff(k1_xboole_0,type,
k1_xboole_0: $i ).
tff(m2_lattice4,type,
m2_lattice4: ( $i * $i ) > $o ).
tff(l1_lattices,type,
l1_lattices: $i > $o ).
tff(k23_filter_2,type,
k23_filter_2: ( $i * $i ) > $i ).
tff('#skF_7',type,
'#skF_7': $i ).
tff(r1_lattices,type,
r1_lattices: ( $i * $i * $i ) > $o ).
tff(r1_tarski,type,
r1_tarski: ( $i * $i ) > $o ).
tff(m1_relset_1,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff(v17_lattices,type,
v17_lattices: $i > $o ).
tff('#skF_16',type,
'#skF_16': $i ).
tff('#skF_26',type,
'#skF_26': $i ).
tff('#skF_12',type,
'#skF_12': ( $i * $i ) > $i ).
tff('#skF_14',type,
'#skF_14': $i ).
tff('#skF_5',type,
'#skF_5': $i ).
tff('#skF_28',type,
'#skF_28': $i > $i ).
tff(v1_funct_2,type,
v1_funct_2: ( $i * $i * $i ) > $o ).
tff(v4_lattices,type,
v4_lattices: $i > $o ).
tff('#skF_10',type,
'#skF_10': $i > $i ).
tff(k22_filter_2,type,
k22_filter_2: ( $i * $i * $i ) > $i ).
tff('#skF_6',type,
'#skF_6': $i ).
tff('#skF_13',type,
'#skF_13': $i ).
tff(v6_lattices,type,
v6_lattices: $i > $o ).
tff('#skF_2',type,
'#skF_2': $i ).
tff(u2_lattices,type,
u2_lattices: $i > $i ).
tff(v9_lattices,type,
v9_lattices: $i > $o ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(u1_lattices,type,
u1_lattices: $i > $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $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(l1_struct_0,type,
l1_struct_0: $i > $o ).
tff('#skF_23',type,
'#skF_23': $i > $i ).
tff('#skF_30',type,
'#skF_30': $i ).
tff(v1_binop_1,type,
v1_binop_1: ( $i * $i ) > $o ).
tff(v2_binop_1,type,
v2_binop_1: ( $i * $i ) > $o ).
tff(v14_lattices,type,
v14_lattices: $i > $o ).
tff(v1_relat_1,type,
v1_relat_1: $i > $o ).
tff(k2_zfmisc_1,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff(v13_lattices,type,
v13_lattices: $i > $o ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(v11_lattices,type,
v11_lattices: $i > $o ).
tff('#skF_11',type,
'#skF_11': $i > $i ).
tff('#skF_22',type,
'#skF_22': $i ).
tff(v8_lattices,type,
v8_lattices: $i > $o ).
tff('#skF_29',type,
'#skF_29': $i ).
tff('#skF_24',type,
'#skF_24': $i ).
tff('#skF_27',type,
'#skF_27': $i ).
tff(v3_lattices,type,
v3_lattices: $i > $o ).
tff(u1_struct_0,type,
u1_struct_0: $i > $i ).
tff(v16_lattices,type,
v16_lattices: $i > $o ).
tff(v1_xboole_0,type,
v1_xboole_0: $i > $o ).
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_63,negated_conjecture,
~ ! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ( ( ~ v3_struct_0(A)
& v10_lattices(A)
& v17_lattices(A)
& l3_lattices(A)
& r3_lattices(A,B,C) )
=> ( ~ v3_struct_0(k23_filter_2(A,k22_filter_2(A,B,C)))
& v10_lattices(k23_filter_2(A,k22_filter_2(A,B,C)))
& v17_lattices(k23_filter_2(A,k22_filter_2(A,B,C)))
& l3_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t87_filter_2) ).
tff(f_719,axiom,
? [A] :
( v1_relat_1(A)
& v1_xboole_0(A)
& v1_funct_1(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_funct_1) ).
tff(f_263,axiom,
! [A,B,C] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A)
& m1_subset_1(B,u1_struct_0(A))
& m1_subset_1(C,u1_struct_0(A)) )
=> ( ~ v1_xboole_0(k22_filter_2(A,B,C))
& m2_lattice4(k22_filter_2(A,B,C),A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k22_filter_2) ).
tff(f_186,axiom,
! [A] :
( l3_lattices(A)
=> ( ( ~ v3_struct_0(A)
& v17_lattices(A) )
=> ( ~ v3_struct_0(A)
& v11_lattices(A)
& v13_lattices(A)
& v14_lattices(A)
& v15_lattices(A)
& v16_lattices(A) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc5_lattices) ).
tff(f_230,axiom,
! [A] :
( l3_lattices(A)
=> ( ( ~ v3_struct_0(A)
& v10_lattices(A)
& v11_lattices(A) )
=> ( ~ v3_struct_0(A)
& v4_lattices(A)
& v5_lattices(A)
& v6_lattices(A)
& v7_lattices(A)
& v8_lattices(A)
& v9_lattices(A)
& v10_lattices(A)
& v12_lattices(A) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc7_lattices) ).
tff(f_915,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ( ( ~ v3_struct_0(A)
& v10_lattices(A)
& v15_lattices(A)
& v16_lattices(A)
& l3_lattices(A)
& v12_lattices(A)
& r3_lattices(A,B,C) )
=> ( ~ v3_struct_0(k23_filter_2(A,k22_filter_2(A,B,C)))
& v10_lattices(k23_filter_2(A,k22_filter_2(A,B,C)))
& v15_lattices(k23_filter_2(A,k22_filter_2(A,B,C)))
& v16_lattices(k23_filter_2(A,k22_filter_2(A,B,C)))
& l3_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t86_filter_2) ).
tff(f_871,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ! [B] :
( ( ~ v1_xboole_0(B)
& m2_lattice4(B,A) )
=> ( v11_lattices(A)
=> v11_lattices(k23_filter_2(A,B)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t78_filter_2) ).
tff(f_277,axiom,
! [A,B] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A)
& ~ v1_xboole_0(B)
& m2_lattice4(B,A) )
=> m2_nat_lat(k23_filter_2(A,B),A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k23_filter_2) ).
tff(f_320,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ! [B] :
( m2_nat_lat(B,A)
=> ( ~ v3_struct_0(B)
& v10_lattices(B)
& l3_lattices(B) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_nat_lat) ).
tff(f_500,axiom,
! [A,B] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A)
& ~ v1_xboole_0(B)
& m2_lattice4(B,A) )
=> ( ~ v3_struct_0(k23_filter_2(A,B))
& v3_lattices(k23_filter_2(A,B))
& v4_lattices(k23_filter_2(A,B))
& v5_lattices(k23_filter_2(A,B))
& v6_lattices(k23_filter_2(A,B))
& v7_lattices(k23_filter_2(A,B))
& v8_lattices(k23_filter_2(A,B))
& v9_lattices(k23_filter_2(A,B))
& v10_lattices(k23_filter_2(A,B)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_filter_2) ).
tff(f_854,axiom,
! [A] :
( v1_xboole_0(A)
=> ( A = k1_xboole_0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
tff(f_713,axiom,
? [A] : v1_xboole_0(A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_xboole_0) ).
tff(f_202,axiom,
! [A] :
( l3_lattices(A)
=> ( ( ~ v3_struct_0(A)
& v11_lattices(A)
& v15_lattices(A)
& v16_lattices(A) )
=> ( ~ v3_struct_0(A)
& v17_lattices(A) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc6_lattices) ).
tff(f_833,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_303,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ! [B] :
( m2_lattice4(B,A)
=> m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_lattice4) ).
tff(f_843,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(c_22,plain,
~ v3_struct_0('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_20,plain,
v10_lattices('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_18,plain,
l3_lattices('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_16,plain,
m1_subset_1('#skF_2',u1_struct_0('#skF_1')),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_14,plain,
m1_subset_1('#skF_3',u1_struct_0('#skF_1')),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_398,plain,
v1_xboole_0('#skF_22'),
inference(cnfTransformation,[status(thm)],[f_719]) ).
tff(c_14221,plain,
! [A_1968,B_1969,C_1970] :
( m2_lattice4(k22_filter_2(A_1968,B_1969,C_1970),A_1968)
| ~ m1_subset_1(C_1970,u1_struct_0(A_1968))
| ~ m1_subset_1(B_1969,u1_struct_0(A_1968))
| ~ l3_lattices(A_1968)
| ~ v10_lattices(A_1968)
| v3_struct_0(A_1968) ),
inference(cnfTransformation,[status(thm)],[f_263]) ).
tff(c_8,plain,
v17_lattices('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_5849,plain,
! [A_1008] :
( v15_lattices(A_1008)
| ~ v17_lattices(A_1008)
| v3_struct_0(A_1008)
| ~ l3_lattices(A_1008) ),
inference(cnfTransformation,[status(thm)],[f_186]) ).
tff(c_5867,plain,
( v15_lattices('#skF_1')
| ~ v17_lattices('#skF_1')
| ~ l3_lattices('#skF_1') ),
inference(resolution,[status(thm)],[c_5849,c_22]) ).
tff(c_5889,plain,
v15_lattices('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_8,c_5867]) ).
tff(c_6192,plain,
! [A_1037] :
( v16_lattices(A_1037)
| ~ v17_lattices(A_1037)
| v3_struct_0(A_1037)
| ~ l3_lattices(A_1037) ),
inference(cnfTransformation,[status(thm)],[f_186]) ).
tff(c_6210,plain,
( v16_lattices('#skF_1')
| ~ v17_lattices('#skF_1')
| ~ l3_lattices('#skF_1') ),
inference(resolution,[status(thm)],[c_6192,c_22]) ).
tff(c_6232,plain,
v16_lattices('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_8,c_6210]) ).
tff(c_5901,plain,
! [A_1012] :
( v11_lattices(A_1012)
| ~ v17_lattices(A_1012)
| v3_struct_0(A_1012)
| ~ l3_lattices(A_1012) ),
inference(cnfTransformation,[status(thm)],[f_186]) ).
tff(c_5919,plain,
( v11_lattices('#skF_1')
| ~ v17_lattices('#skF_1')
| ~ l3_lattices('#skF_1') ),
inference(resolution,[status(thm)],[c_5901,c_22]) ).
tff(c_5941,plain,
v11_lattices('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_8,c_5919]) ).
tff(c_6328,plain,
! [A_1067] :
( v12_lattices(A_1067)
| ~ v11_lattices(A_1067)
| ~ v10_lattices(A_1067)
| v3_struct_0(A_1067)
| ~ l3_lattices(A_1067) ),
inference(cnfTransformation,[status(thm)],[f_230]) ).
tff(c_6349,plain,
( v12_lattices('#skF_1')
| ~ v11_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| ~ l3_lattices('#skF_1') ),
inference(resolution,[status(thm)],[c_6328,c_22]) ).
tff(c_6372,plain,
v12_lattices('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_20,c_5941,c_6349]) ).
tff(c_4,plain,
r3_lattices('#skF_1','#skF_2','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_484,plain,
! [A_115,B_119,C_121] :
( v16_lattices(k23_filter_2(A_115,k22_filter_2(A_115,B_119,C_121)))
| ~ r3_lattices(A_115,B_119,C_121)
| ~ v12_lattices(A_115)
| ~ v16_lattices(A_115)
| ~ v15_lattices(A_115)
| ~ m1_subset_1(C_121,u1_struct_0(A_115))
| ~ m1_subset_1(B_119,u1_struct_0(A_115))
| ~ l3_lattices(A_115)
| ~ v10_lattices(A_115)
| v3_struct_0(A_115) ),
inference(cnfTransformation,[status(thm)],[f_915]) ).
tff(c_486,plain,
! [A_115,B_119,C_121] :
( v15_lattices(k23_filter_2(A_115,k22_filter_2(A_115,B_119,C_121)))
| ~ r3_lattices(A_115,B_119,C_121)
| ~ v12_lattices(A_115)
| ~ v16_lattices(A_115)
| ~ v15_lattices(A_115)
| ~ m1_subset_1(C_121,u1_struct_0(A_115))
| ~ m1_subset_1(B_119,u1_struct_0(A_115))
| ~ l3_lattices(A_115)
| ~ v10_lattices(A_115)
| v3_struct_0(A_115) ),
inference(cnfTransformation,[status(thm)],[f_915]) ).
tff(c_108,plain,
! [A_23,B_24,C_25] :
( m2_lattice4(k22_filter_2(A_23,B_24,C_25),A_23)
| ~ m1_subset_1(C_25,u1_struct_0(A_23))
| ~ m1_subset_1(B_24,u1_struct_0(A_23))
| ~ l3_lattices(A_23)
| ~ v10_lattices(A_23)
| v3_struct_0(A_23) ),
inference(cnfTransformation,[status(thm)],[f_263]) ).
tff(c_478,plain,
! [A_110,B_112] :
( v11_lattices(k23_filter_2(A_110,B_112))
| ~ v11_lattices(A_110)
| ~ m2_lattice4(B_112,A_110)
| v1_xboole_0(B_112)
| ~ l3_lattices(A_110)
| ~ v10_lattices(A_110)
| v3_struct_0(A_110) ),
inference(cnfTransformation,[status(thm)],[f_871]) ).
tff(c_5412,plain,
! [A_945,B_946,C_947] :
( m2_lattice4(k22_filter_2(A_945,B_946,C_947),A_945)
| ~ m1_subset_1(C_947,u1_struct_0(A_945))
| ~ m1_subset_1(B_946,u1_struct_0(A_945))
| ~ l3_lattices(A_945)
| ~ v10_lattices(A_945)
| v3_struct_0(A_945) ),
inference(cnfTransformation,[status(thm)],[f_263]) ).
tff(c_5161,plain,
! [A_912,B_913] :
( m2_nat_lat(k23_filter_2(A_912,B_913),A_912)
| ~ m2_lattice4(B_913,A_912)
| v1_xboole_0(B_913)
| ~ l3_lattices(A_912)
| ~ v10_lattices(A_912)
| v3_struct_0(A_912) ),
inference(cnfTransformation,[status(thm)],[f_277]) ).
tff(c_132,plain,
! [B_36,A_34] :
( l3_lattices(B_36)
| ~ m2_nat_lat(B_36,A_34)
| ~ l3_lattices(A_34)
| ~ v10_lattices(A_34)
| v3_struct_0(A_34) ),
inference(cnfTransformation,[status(thm)],[f_320]) ).
tff(c_5174,plain,
! [A_914,B_915] :
( l3_lattices(k23_filter_2(A_914,B_915))
| ~ m2_lattice4(B_915,A_914)
| v1_xboole_0(B_915)
| ~ l3_lattices(A_914)
| ~ v10_lattices(A_914)
| v3_struct_0(A_914) ),
inference(resolution,[status(thm)],[c_5161,c_132]) ).
tff(c_2606,plain,
! [A_471,B_472,C_473] :
( m2_lattice4(k22_filter_2(A_471,B_472,C_473),A_471)
| ~ m1_subset_1(C_473,u1_struct_0(A_471))
| ~ m1_subset_1(B_472,u1_struct_0(A_471))
| ~ l3_lattices(A_471)
| ~ v10_lattices(A_471)
| v3_struct_0(A_471) ),
inference(cnfTransformation,[status(thm)],[f_263]) ).
tff(c_1977,plain,
! [A_342,B_343] :
( v10_lattices(k23_filter_2(A_342,B_343))
| ~ m2_lattice4(B_343,A_342)
| v1_xboole_0(B_343)
| ~ l3_lattices(A_342)
| ~ v10_lattices(A_342)
| v3_struct_0(A_342) ),
inference(cnfTransformation,[status(thm)],[f_500]) ).
tff(c_2,plain,
( ~ l3_lattices(k23_filter_2('#skF_1',k22_filter_2('#skF_1','#skF_2','#skF_3')))
| ~ v17_lattices(k23_filter_2('#skF_1',k22_filter_2('#skF_1','#skF_2','#skF_3')))
| ~ v10_lattices(k23_filter_2('#skF_1',k22_filter_2('#skF_1','#skF_2','#skF_3')))
| v3_struct_0(k23_filter_2('#skF_1',k22_filter_2('#skF_1','#skF_2','#skF_3'))) ),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_495,plain,
~ v10_lattices(k23_filter_2('#skF_1',k22_filter_2('#skF_1','#skF_2','#skF_3'))),
inference(splitLeft,[status(thm)],[c_2]) ).
tff(c_1980,plain,
( ~ m2_lattice4(k22_filter_2('#skF_1','#skF_2','#skF_3'),'#skF_1')
| v1_xboole_0(k22_filter_2('#skF_1','#skF_2','#skF_3'))
| ~ l3_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_1977,c_495]) ).
tff(c_1983,plain,
( ~ m2_lattice4(k22_filter_2('#skF_1','#skF_2','#skF_3'),'#skF_1')
| v1_xboole_0(k22_filter_2('#skF_1','#skF_2','#skF_3'))
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_20,c_18,c_1980]) ).
tff(c_1984,plain,
( ~ m2_lattice4(k22_filter_2('#skF_1','#skF_2','#skF_3'),'#skF_1')
| v1_xboole_0(k22_filter_2('#skF_1','#skF_2','#skF_3')) ),
inference(negUnitSimplification,[status(thm)],[c_22,c_1983]) ).
tff(c_1985,plain,
~ m2_lattice4(k22_filter_2('#skF_1','#skF_2','#skF_3'),'#skF_1'),
inference(splitLeft,[status(thm)],[c_1984]) ).
tff(c_2609,plain,
( ~ m1_subset_1('#skF_3',u1_struct_0('#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(resolution,[status(thm)],[c_2606,c_1985]) ).
tff(c_2612,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_20,c_18,c_16,c_14,c_2609]) ).
tff(c_2614,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22,c_2612]) ).
tff(c_2615,plain,
v1_xboole_0(k22_filter_2('#skF_1','#skF_2','#skF_3')),
inference(splitRight,[status(thm)],[c_1984]) ).
tff(c_499,plain,
! [A_127] :
( ( k1_xboole_0 = A_127 )
| ~ v1_xboole_0(A_127) ),
inference(cnfTransformation,[status(thm)],[f_854]) ).
tff(c_514,plain,
k1_xboole_0 = '#skF_22',
inference(resolution,[status(thm)],[c_398,c_499]) ).
tff(c_394,plain,
v1_xboole_0('#skF_21'),
inference(cnfTransformation,[status(thm)],[f_713]) ).
tff(c_513,plain,
k1_xboole_0 = '#skF_21',
inference(resolution,[status(thm)],[c_394,c_499]) ).
tff(c_524,plain,
'#skF_21' = '#skF_22',
inference(demodulation,[status(thm),theory(equality)],[c_514,c_513]) ).
tff(c_476,plain,
! [A_109] :
( ( k1_xboole_0 = A_109 )
| ~ v1_xboole_0(A_109) ),
inference(cnfTransformation,[status(thm)],[f_854]) ).
tff(c_517,plain,
! [A_109] :
( ( A_109 = '#skF_21' )
| ~ v1_xboole_0(A_109) ),
inference(demodulation,[status(thm),theory(equality)],[c_513,c_476]) ).
tff(c_670,plain,
! [A_109] :
( ( A_109 = '#skF_22' )
| ~ v1_xboole_0(A_109) ),
inference(demodulation,[status(thm),theory(equality)],[c_524,c_517]) ).
tff(c_2629,plain,
k22_filter_2('#skF_1','#skF_2','#skF_3') = '#skF_22',
inference(resolution,[status(thm)],[c_2615,c_670]) ).
tff(c_3181,plain,
! [A_585,B_586,C_587] :
( ~ v1_xboole_0(k22_filter_2(A_585,B_586,C_587))
| ~ m1_subset_1(C_587,u1_struct_0(A_585))
| ~ m1_subset_1(B_586,u1_struct_0(A_585))
| ~ l3_lattices(A_585)
| ~ v10_lattices(A_585)
| v3_struct_0(A_585) ),
inference(cnfTransformation,[status(thm)],[f_263]) ).
tff(c_3183,plain,
( ~ v1_xboole_0('#skF_22')
| ~ m1_subset_1('#skF_3',u1_struct_0('#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_2629,c_3181]) ).
tff(c_3185,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_20,c_18,c_16,c_14,c_398,c_3183]) ).
tff(c_3187,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22,c_3185]) ).
tff(c_3188,plain,
( ~ v17_lattices(k23_filter_2('#skF_1',k22_filter_2('#skF_1','#skF_2','#skF_3')))
| ~ l3_lattices(k23_filter_2('#skF_1',k22_filter_2('#skF_1','#skF_2','#skF_3')))
| v3_struct_0(k23_filter_2('#skF_1',k22_filter_2('#skF_1','#skF_2','#skF_3'))) ),
inference(splitRight,[status(thm)],[c_2]) ).
tff(c_3190,plain,
~ l3_lattices(k23_filter_2('#skF_1',k22_filter_2('#skF_1','#skF_2','#skF_3'))),
inference(splitLeft,[status(thm)],[c_3188]) ).
tff(c_5183,plain,
( ~ m2_lattice4(k22_filter_2('#skF_1','#skF_2','#skF_3'),'#skF_1')
| v1_xboole_0(k22_filter_2('#skF_1','#skF_2','#skF_3'))
| ~ l3_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_5174,c_3190]) ).
tff(c_5188,plain,
( ~ m2_lattice4(k22_filter_2('#skF_1','#skF_2','#skF_3'),'#skF_1')
| v1_xboole_0(k22_filter_2('#skF_1','#skF_2','#skF_3'))
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_20,c_18,c_5183]) ).
tff(c_5189,plain,
( ~ m2_lattice4(k22_filter_2('#skF_1','#skF_2','#skF_3'),'#skF_1')
| v1_xboole_0(k22_filter_2('#skF_1','#skF_2','#skF_3')) ),
inference(negUnitSimplification,[status(thm)],[c_22,c_5188]) ).
tff(c_5190,plain,
~ m2_lattice4(k22_filter_2('#skF_1','#skF_2','#skF_3'),'#skF_1'),
inference(splitLeft,[status(thm)],[c_5189]) ).
tff(c_5415,plain,
( ~ m1_subset_1('#skF_3',u1_struct_0('#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(resolution,[status(thm)],[c_5412,c_5190]) ).
tff(c_5418,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_20,c_18,c_16,c_14,c_5415]) ).
tff(c_5420,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22,c_5418]) ).
tff(c_5421,plain,
v1_xboole_0(k22_filter_2('#skF_1','#skF_2','#skF_3')),
inference(splitRight,[status(thm)],[c_5189]) ).
tff(c_3292,plain,
! [A_596] :
( ( k1_xboole_0 = A_596 )
| ~ v1_xboole_0(A_596) ),
inference(cnfTransformation,[status(thm)],[f_854]) ).
tff(c_3307,plain,
k1_xboole_0 = '#skF_22',
inference(resolution,[status(thm)],[c_398,c_3292]) ).
tff(c_3306,plain,
k1_xboole_0 = '#skF_21',
inference(resolution,[status(thm)],[c_394,c_3292]) ).
tff(c_3319,plain,
'#skF_21' = '#skF_22',
inference(demodulation,[status(thm),theory(equality)],[c_3307,c_3306]) ).
tff(c_3310,plain,
! [A_109] :
( ( A_109 = '#skF_21' )
| ~ v1_xboole_0(A_109) ),
inference(demodulation,[status(thm),theory(equality)],[c_3306,c_476]) ).
tff(c_3383,plain,
! [A_109] :
( ( A_109 = '#skF_22' )
| ~ v1_xboole_0(A_109) ),
inference(demodulation,[status(thm),theory(equality)],[c_3319,c_3310]) ).
tff(c_5435,plain,
k22_filter_2('#skF_1','#skF_2','#skF_3') = '#skF_22',
inference(resolution,[status(thm)],[c_5421,c_3383]) ).
tff(c_5565,plain,
! [A_960,B_961,C_962] :
( ~ v1_xboole_0(k22_filter_2(A_960,B_961,C_962))
| ~ m1_subset_1(C_962,u1_struct_0(A_960))
| ~ m1_subset_1(B_961,u1_struct_0(A_960))
| ~ l3_lattices(A_960)
| ~ v10_lattices(A_960)
| v3_struct_0(A_960) ),
inference(cnfTransformation,[status(thm)],[f_263]) ).
tff(c_5567,plain,
( ~ v1_xboole_0('#skF_22')
| ~ m1_subset_1('#skF_3',u1_struct_0('#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_5435,c_5565]) ).
tff(c_5569,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_20,c_18,c_16,c_14,c_398,c_5567]) ).
tff(c_5571,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22,c_5569]) ).
tff(c_5573,plain,
l3_lattices(k23_filter_2('#skF_1',k22_filter_2('#skF_1','#skF_2','#skF_3'))),
inference(splitRight,[status(thm)],[c_3188]) ).
tff(c_78,plain,
! [A_18] :
( v17_lattices(A_18)
| ~ v16_lattices(A_18)
| ~ v15_lattices(A_18)
| ~ v11_lattices(A_18)
| v3_struct_0(A_18)
| ~ l3_lattices(A_18) ),
inference(cnfTransformation,[status(thm)],[f_202]) ).
tff(c_7436,plain,
! [A_1242,B_1243] :
( ~ v3_struct_0(k23_filter_2(A_1242,B_1243))
| ~ m2_lattice4(B_1243,A_1242)
| v1_xboole_0(B_1243)
| ~ l3_lattices(A_1242)
| ~ v10_lattices(A_1242)
| v3_struct_0(A_1242) ),
inference(cnfTransformation,[status(thm)],[f_500]) ).
tff(c_11395,plain,
! [B_1557,A_1558] :
( ~ m2_lattice4(B_1557,A_1558)
| v1_xboole_0(B_1557)
| ~ l3_lattices(A_1558)
| ~ v10_lattices(A_1558)
| v3_struct_0(A_1558)
| v17_lattices(k23_filter_2(A_1558,B_1557))
| ~ v16_lattices(k23_filter_2(A_1558,B_1557))
| ~ v15_lattices(k23_filter_2(A_1558,B_1557))
| ~ v11_lattices(k23_filter_2(A_1558,B_1557))
| ~ l3_lattices(k23_filter_2(A_1558,B_1557)) ),
inference(resolution,[status(thm)],[c_78,c_7436]) ).
tff(c_5572,plain,
( ~ v17_lattices(k23_filter_2('#skF_1',k22_filter_2('#skF_1','#skF_2','#skF_3')))
| v3_struct_0(k23_filter_2('#skF_1',k22_filter_2('#skF_1','#skF_2','#skF_3'))) ),
inference(splitRight,[status(thm)],[c_3188]) ).
tff(c_5577,plain,
~ v17_lattices(k23_filter_2('#skF_1',k22_filter_2('#skF_1','#skF_2','#skF_3'))),
inference(splitLeft,[status(thm)],[c_5572]) ).
tff(c_11413,plain,
( ~ m2_lattice4(k22_filter_2('#skF_1','#skF_2','#skF_3'),'#skF_1')
| v1_xboole_0(k22_filter_2('#skF_1','#skF_2','#skF_3'))
| ~ l3_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1')
| ~ v16_lattices(k23_filter_2('#skF_1',k22_filter_2('#skF_1','#skF_2','#skF_3')))
| ~ v15_lattices(k23_filter_2('#skF_1',k22_filter_2('#skF_1','#skF_2','#skF_3')))
| ~ v11_lattices(k23_filter_2('#skF_1',k22_filter_2('#skF_1','#skF_2','#skF_3')))
| ~ l3_lattices(k23_filter_2('#skF_1',k22_filter_2('#skF_1','#skF_2','#skF_3'))) ),
inference(resolution,[status(thm)],[c_11395,c_5577]) ).
tff(c_11421,plain,
( ~ m2_lattice4(k22_filter_2('#skF_1','#skF_2','#skF_3'),'#skF_1')
| v1_xboole_0(k22_filter_2('#skF_1','#skF_2','#skF_3'))
| v3_struct_0('#skF_1')
| ~ v16_lattices(k23_filter_2('#skF_1',k22_filter_2('#skF_1','#skF_2','#skF_3')))
| ~ v15_lattices(k23_filter_2('#skF_1',k22_filter_2('#skF_1','#skF_2','#skF_3')))
| ~ v11_lattices(k23_filter_2('#skF_1',k22_filter_2('#skF_1','#skF_2','#skF_3'))) ),
inference(demodulation,[status(thm),theory(equality)],[c_5573,c_20,c_18,c_11413]) ).
tff(c_11422,plain,
( ~ m2_lattice4(k22_filter_2('#skF_1','#skF_2','#skF_3'),'#skF_1')
| v1_xboole_0(k22_filter_2('#skF_1','#skF_2','#skF_3'))
| ~ v16_lattices(k23_filter_2('#skF_1',k22_filter_2('#skF_1','#skF_2','#skF_3')))
| ~ v15_lattices(k23_filter_2('#skF_1',k22_filter_2('#skF_1','#skF_2','#skF_3')))
| ~ v11_lattices(k23_filter_2('#skF_1',k22_filter_2('#skF_1','#skF_2','#skF_3'))) ),
inference(negUnitSimplification,[status(thm)],[c_22,c_11421]) ).
tff(c_11454,plain,
~ v11_lattices(k23_filter_2('#skF_1',k22_filter_2('#skF_1','#skF_2','#skF_3'))),
inference(splitLeft,[status(thm)],[c_11422]) ).
tff(c_11457,plain,
( ~ v11_lattices('#skF_1')
| ~ m2_lattice4(k22_filter_2('#skF_1','#skF_2','#skF_3'),'#skF_1')
| v1_xboole_0(k22_filter_2('#skF_1','#skF_2','#skF_3'))
| ~ l3_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_478,c_11454]) ).
tff(c_11460,plain,
( ~ m2_lattice4(k22_filter_2('#skF_1','#skF_2','#skF_3'),'#skF_1')
| v1_xboole_0(k22_filter_2('#skF_1','#skF_2','#skF_3'))
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_20,c_18,c_5941,c_11457]) ).
tff(c_11461,plain,
( ~ m2_lattice4(k22_filter_2('#skF_1','#skF_2','#skF_3'),'#skF_1')
| v1_xboole_0(k22_filter_2('#skF_1','#skF_2','#skF_3')) ),
inference(negUnitSimplification,[status(thm)],[c_22,c_11460]) ).
tff(c_11462,plain,
~ m2_lattice4(k22_filter_2('#skF_1','#skF_2','#skF_3'),'#skF_1'),
inference(splitLeft,[status(thm)],[c_11461]) ).
tff(c_11465,plain,
( ~ m1_subset_1('#skF_3',u1_struct_0('#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(resolution,[status(thm)],[c_108,c_11462]) ).
tff(c_11468,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_20,c_18,c_16,c_14,c_11465]) ).
tff(c_11470,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22,c_11468]) ).
tff(c_11471,plain,
v1_xboole_0(k22_filter_2('#skF_1','#skF_2','#skF_3')),
inference(splitRight,[status(thm)],[c_11461]) ).
tff(c_110,plain,
! [A_23,B_24,C_25] :
( ~ v1_xboole_0(k22_filter_2(A_23,B_24,C_25))
| ~ m1_subset_1(C_25,u1_struct_0(A_23))
| ~ m1_subset_1(B_24,u1_struct_0(A_23))
| ~ l3_lattices(A_23)
| ~ v10_lattices(A_23)
| v3_struct_0(A_23) ),
inference(cnfTransformation,[status(thm)],[f_263]) ).
tff(c_11476,plain,
( ~ m1_subset_1('#skF_3',u1_struct_0('#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(resolution,[status(thm)],[c_11471,c_110]) ).
tff(c_11490,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_20,c_18,c_16,c_14,c_11476]) ).
tff(c_11492,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22,c_11490]) ).
tff(c_11493,plain,
( ~ v15_lattices(k23_filter_2('#skF_1',k22_filter_2('#skF_1','#skF_2','#skF_3')))
| ~ v16_lattices(k23_filter_2('#skF_1',k22_filter_2('#skF_1','#skF_2','#skF_3')))
| ~ m2_lattice4(k22_filter_2('#skF_1','#skF_2','#skF_3'),'#skF_1')
| v1_xboole_0(k22_filter_2('#skF_1','#skF_2','#skF_3')) ),
inference(splitRight,[status(thm)],[c_11422]) ).
tff(c_11530,plain,
~ m2_lattice4(k22_filter_2('#skF_1','#skF_2','#skF_3'),'#skF_1'),
inference(splitLeft,[status(thm)],[c_11493]) ).
tff(c_11533,plain,
( ~ m1_subset_1('#skF_3',u1_struct_0('#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(resolution,[status(thm)],[c_108,c_11530]) ).
tff(c_11536,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_20,c_18,c_16,c_14,c_11533]) ).
tff(c_11538,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22,c_11536]) ).
tff(c_11540,plain,
m2_lattice4(k22_filter_2('#skF_1','#skF_2','#skF_3'),'#skF_1'),
inference(splitRight,[status(thm)],[c_11493]) ).
tff(c_466,plain,
! [A_99,B_100] :
( r2_hidden(A_99,B_100)
| v1_xboole_0(B_100)
| ~ m1_subset_1(A_99,B_100) ),
inference(cnfTransformation,[status(thm)],[f_833]) ).
tff(c_7058,plain,
! [B_1177,A_1178] :
( m1_subset_1(B_1177,k1_zfmisc_1(u1_struct_0(A_1178)))
| ~ m2_lattice4(B_1177,A_1178)
| ~ l3_lattices(A_1178)
| ~ v10_lattices(A_1178)
| v3_struct_0(A_1178) ),
inference(cnfTransformation,[status(thm)],[f_303]) ).
tff(c_472,plain,
! [A_103,C_105,B_104] :
( m1_subset_1(A_103,C_105)
| ~ m1_subset_1(B_104,k1_zfmisc_1(C_105))
| ~ r2_hidden(A_103,B_104) ),
inference(cnfTransformation,[status(thm)],[f_843]) ).
tff(c_7718,plain,
! [A_1311,A_1312,B_1313] :
( m1_subset_1(A_1311,u1_struct_0(A_1312))
| ~ r2_hidden(A_1311,B_1313)
| ~ m2_lattice4(B_1313,A_1312)
| ~ l3_lattices(A_1312)
| ~ v10_lattices(A_1312)
| v3_struct_0(A_1312) ),
inference(resolution,[status(thm)],[c_7058,c_472]) ).
tff(c_7721,plain,
! [A_99,A_1312,B_100] :
( m1_subset_1(A_99,u1_struct_0(A_1312))
| ~ m2_lattice4(B_100,A_1312)
| ~ l3_lattices(A_1312)
| ~ v10_lattices(A_1312)
| v3_struct_0(A_1312)
| v1_xboole_0(B_100)
| ~ m1_subset_1(A_99,B_100) ),
inference(resolution,[status(thm)],[c_466,c_7718]) ).
tff(c_11542,plain,
! [A_99] :
( m1_subset_1(A_99,u1_struct_0('#skF_1'))
| ~ l3_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1')
| v1_xboole_0(k22_filter_2('#skF_1','#skF_2','#skF_3'))
| ~ m1_subset_1(A_99,k22_filter_2('#skF_1','#skF_2','#skF_3')) ),
inference(resolution,[status(thm)],[c_11540,c_7721]) ).
tff(c_11545,plain,
! [A_99] :
( m1_subset_1(A_99,u1_struct_0('#skF_1'))
| v3_struct_0('#skF_1')
| v1_xboole_0(k22_filter_2('#skF_1','#skF_2','#skF_3'))
| ~ m1_subset_1(A_99,k22_filter_2('#skF_1','#skF_2','#skF_3')) ),
inference(demodulation,[status(thm),theory(equality)],[c_20,c_18,c_11542]) ).
tff(c_11546,plain,
! [A_99] :
( m1_subset_1(A_99,u1_struct_0('#skF_1'))
| v1_xboole_0(k22_filter_2('#skF_1','#skF_2','#skF_3'))
| ~ m1_subset_1(A_99,k22_filter_2('#skF_1','#skF_2','#skF_3')) ),
inference(negUnitSimplification,[status(thm)],[c_22,c_11545]) ).
tff(c_11547,plain,
v1_xboole_0(k22_filter_2('#skF_1','#skF_2','#skF_3')),
inference(splitLeft,[status(thm)],[c_11546]) ).
tff(c_11551,plain,
( ~ m1_subset_1('#skF_3',u1_struct_0('#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(resolution,[status(thm)],[c_11547,c_110]) ).
tff(c_11565,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_20,c_18,c_16,c_14,c_11551]) ).
tff(c_11567,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22,c_11565]) ).
tff(c_11569,plain,
~ v1_xboole_0(k22_filter_2('#skF_1','#skF_2','#skF_3')),
inference(splitRight,[status(thm)],[c_11546]) ).
tff(c_11539,plain,
( ~ v16_lattices(k23_filter_2('#skF_1',k22_filter_2('#skF_1','#skF_2','#skF_3')))
| ~ v15_lattices(k23_filter_2('#skF_1',k22_filter_2('#skF_1','#skF_2','#skF_3')))
| v1_xboole_0(k22_filter_2('#skF_1','#skF_2','#skF_3')) ),
inference(splitRight,[status(thm)],[c_11493]) ).
tff(c_11932,plain,
( ~ v16_lattices(k23_filter_2('#skF_1',k22_filter_2('#skF_1','#skF_2','#skF_3')))
| ~ v15_lattices(k23_filter_2('#skF_1',k22_filter_2('#skF_1','#skF_2','#skF_3'))) ),
inference(negUnitSimplification,[status(thm)],[c_11569,c_11539]) ).
tff(c_11933,plain,
~ v15_lattices(k23_filter_2('#skF_1',k22_filter_2('#skF_1','#skF_2','#skF_3'))),
inference(splitLeft,[status(thm)],[c_11932]) ).
tff(c_11943,plain,
( ~ r3_lattices('#skF_1','#skF_2','#skF_3')
| ~ v12_lattices('#skF_1')
| ~ v16_lattices('#skF_1')
| ~ v15_lattices('#skF_1')
| ~ m1_subset_1('#skF_3',u1_struct_0('#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(resolution,[status(thm)],[c_486,c_11933]) ).
tff(c_11950,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_20,c_18,c_16,c_14,c_5889,c_6232,c_6372,c_4,c_11943]) ).
tff(c_11952,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22,c_11950]) ).
tff(c_11953,plain,
~ v16_lattices(k23_filter_2('#skF_1',k22_filter_2('#skF_1','#skF_2','#skF_3'))),
inference(splitRight,[status(thm)],[c_11932]) ).
tff(c_11971,plain,
( ~ r3_lattices('#skF_1','#skF_2','#skF_3')
| ~ v12_lattices('#skF_1')
| ~ v16_lattices('#skF_1')
| ~ v15_lattices('#skF_1')
| ~ m1_subset_1('#skF_3',u1_struct_0('#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(resolution,[status(thm)],[c_484,c_11953]) ).
tff(c_11974,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_20,c_18,c_16,c_14,c_5889,c_6232,c_6372,c_4,c_11971]) ).
tff(c_11976,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22,c_11974]) ).
tff(c_11977,plain,
v3_struct_0(k23_filter_2('#skF_1',k22_filter_2('#skF_1','#skF_2','#skF_3'))),
inference(splitRight,[status(thm)],[c_5572]) ).
tff(c_13675,plain,
! [A_1840,B_1841] :
( ~ v3_struct_0(k23_filter_2(A_1840,B_1841))
| ~ m2_lattice4(B_1841,A_1840)
| v1_xboole_0(B_1841)
| ~ l3_lattices(A_1840)
| ~ v10_lattices(A_1840)
| v3_struct_0(A_1840) ),
inference(cnfTransformation,[status(thm)],[f_500]) ).
tff(c_13708,plain,
( ~ m2_lattice4(k22_filter_2('#skF_1','#skF_2','#skF_3'),'#skF_1')
| v1_xboole_0(k22_filter_2('#skF_1','#skF_2','#skF_3'))
| ~ l3_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_11977,c_13675]) ).
tff(c_13721,plain,
( ~ m2_lattice4(k22_filter_2('#skF_1','#skF_2','#skF_3'),'#skF_1')
| v1_xboole_0(k22_filter_2('#skF_1','#skF_2','#skF_3'))
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_20,c_18,c_13708]) ).
tff(c_13722,plain,
( ~ m2_lattice4(k22_filter_2('#skF_1','#skF_2','#skF_3'),'#skF_1')
| v1_xboole_0(k22_filter_2('#skF_1','#skF_2','#skF_3')) ),
inference(negUnitSimplification,[status(thm)],[c_22,c_13721]) ).
tff(c_13723,plain,
~ m2_lattice4(k22_filter_2('#skF_1','#skF_2','#skF_3'),'#skF_1'),
inference(splitLeft,[status(thm)],[c_13722]) ).
tff(c_14224,plain,
( ~ m1_subset_1('#skF_3',u1_struct_0('#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(resolution,[status(thm)],[c_14221,c_13723]) ).
tff(c_14227,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_20,c_18,c_16,c_14,c_14224]) ).
tff(c_14229,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22,c_14227]) ).
tff(c_14230,plain,
v1_xboole_0(k22_filter_2('#skF_1','#skF_2','#skF_3')),
inference(splitRight,[status(thm)],[c_13722]) ).
tff(c_12004,plain,
! [A_1607] :
( ( k1_xboole_0 = A_1607 )
| ~ v1_xboole_0(A_1607) ),
inference(cnfTransformation,[status(thm)],[f_854]) ).
tff(c_12019,plain,
k1_xboole_0 = '#skF_22',
inference(resolution,[status(thm)],[c_398,c_12004]) ).
tff(c_12018,plain,
k1_xboole_0 = '#skF_21',
inference(resolution,[status(thm)],[c_394,c_12004]) ).
tff(c_12031,plain,
'#skF_21' = '#skF_22',
inference(demodulation,[status(thm),theory(equality)],[c_12019,c_12018]) ).
tff(c_12022,plain,
! [A_109] :
( ( A_109 = '#skF_21' )
| ~ v1_xboole_0(A_109) ),
inference(demodulation,[status(thm),theory(equality)],[c_12018,c_476]) ).
tff(c_12182,plain,
! [A_109] :
( ( A_109 = '#skF_22' )
| ~ v1_xboole_0(A_109) ),
inference(demodulation,[status(thm),theory(equality)],[c_12031,c_12022]) ).
tff(c_14244,plain,
k22_filter_2('#skF_1','#skF_2','#skF_3') = '#skF_22',
inference(resolution,[status(thm)],[c_14230,c_12182]) ).
tff(c_14623,plain,
! [A_2068,B_2069,C_2070] :
( ~ v1_xboole_0(k22_filter_2(A_2068,B_2069,C_2070))
| ~ m1_subset_1(C_2070,u1_struct_0(A_2068))
| ~ m1_subset_1(B_2069,u1_struct_0(A_2068))
| ~ l3_lattices(A_2068)
| ~ v10_lattices(A_2068)
| v3_struct_0(A_2068) ),
inference(cnfTransformation,[status(thm)],[f_263]) ).
tff(c_14625,plain,
( ~ v1_xboole_0('#skF_22')
| ~ m1_subset_1('#skF_3',u1_struct_0('#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_14244,c_14623]) ).
tff(c_14627,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_20,c_18,c_16,c_14,c_398,c_14625]) ).
tff(c_14629,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22,c_14627]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT337+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/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
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 12:24:03 EDT 2023
% 0.13/0.35 % CPUTime :
% 19.50/7.14 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.50/7.16
% 19.50/7.16 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 19.64/7.21
% 19.64/7.21 Inference rules
% 19.64/7.21 ----------------------
% 19.64/7.21 #Ref : 7
% 19.64/7.21 #Sup : 2947
% 19.64/7.21 #Fact : 0
% 19.64/7.21 #Define : 0
% 19.64/7.21 #Split : 151
% 19.64/7.21 #Chain : 0
% 19.64/7.21 #Close : 0
% 19.64/7.21
% 19.64/7.21 Ordering : KBO
% 19.64/7.21
% 19.64/7.21 Simplification rules
% 19.64/7.21 ----------------------
% 19.64/7.21 #Subsume : 999
% 19.64/7.21 #Demod : 1669
% 19.64/7.21 #Tautology : 523
% 19.64/7.21 #SimpNegUnit : 562
% 19.64/7.21 #BackRed : 54
% 19.64/7.21
% 19.64/7.21 #Partial instantiations: 0
% 19.64/7.21 #Strategies tried : 1
% 19.64/7.21
% 19.64/7.21 Timing (in seconds)
% 19.64/7.21 ----------------------
% 19.64/7.21 Preprocessing : 0.80
% 19.64/7.21 Parsing : 0.42
% 19.64/7.21 CNF conversion : 0.08
% 19.64/7.21 Main loop : 5.30
% 19.64/7.21 Inferencing : 1.91
% 19.64/7.21 Reduction : 2.03
% 19.64/7.21 Demodulation : 1.44
% 19.64/7.21 BG Simplification : 0.09
% 19.64/7.21 Subsumption : 0.96
% 19.64/7.21 Abstraction : 0.07
% 19.64/7.21 MUC search : 0.00
% 19.64/7.21 Cooper : 0.00
% 19.64/7.21 Total : 6.19
% 19.64/7.21 Index Insertion : 0.00
% 19.64/7.21 Index Deletion : 0.00
% 19.64/7.21 Index Matching : 0.00
% 19.64/7.21 BG Taut test : 0.00
%------------------------------------------------------------------------------