%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : LAT303+1 : TPTP v9.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Apr 9 07:11:46 PM UTC 2025
% Result : Theorem 25.14s 10.91s
% Output : CNFRefutation 25.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 14
% Syntax : Number of formulae : 90 ( 37 unt; 0 typ; 0 def)
% Number of atoms : 242 ( 16 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 245 ( 93 ~; 99 |; 31 &)
% ( 3 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 37 ( 35 usr; 1 prp; 0-3 aty)
% Number of functors : 40 ( 40 usr; 19 con; 0-3 aty)
% Number of variables : 52 ( 52 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ v1_partfun1 > v1_funct_2 > m2_relset_1 > m1_relset_1 > v2_binop_1 > v1_binop_1 > r2_hidden > 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_realset1 > v1_funct_1 > v1_finset_1 > v15_lattices > v14_lattices > v13_lattices > v10_lattices > l3_lattices > l2_lattices > l1_struct_0 > l1_lattices > g3_lattices > k6_domain_1 > k5_filter_2 > k2_zfmisc_1 > #nlpp > u2_lattices > u1_struct_0 > u1_lattices > k1_zfmisc_1 > k1_tarski > k1_lattice2 > k1_xboole_0 > #skF_7 > #skF_16 > #skF_20 > #skF_18 > #skF_17 > #skF_15 > #skF_25 > #skF_22 > #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_4 > #skF_11 > #skF_29 > #skF_28 > #skF_24 > #skF_23 > #skF_27 > #skF_12 > #skF_9
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(l3_lattices,type,
l3_lattices: $i > $o ).
tff(k1_lattice2,type,
k1_lattice2: $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('#skF_20',type,
'#skF_20': $i ).
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 > $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(v1_partfun1,type,
v1_partfun1: ( $i * $i * $i ) > $o ).
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(m2_filter_2,type,
m2_filter_2: ( $i * $i ) > $o ).
tff('#skF_22',type,
'#skF_22': $i > $i ).
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(k6_domain_1,type,
k6_domain_1: ( $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(l1_struct_0,type,
l1_struct_0: $i > $o ).
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('#skF_11',type,
'#skF_11': $i > $i ).
tff(v8_lattices,type,
v8_lattices: $i > $o ).
tff('#skF_29',type,
'#skF_29': $i ).
tff('#skF_28',type,
'#skF_28': $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_27',type,
'#skF_27': $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(v1_finset_1,type,
v1_finset_1: $i > $o ).
tff(v15_lattices,type,
v15_lattices: $i > $o ).
tff(v3_struct_0,type,
v3_struct_0: $i > $o ).
tff(m1_subset_1,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(v7_lattices,type,
v7_lattices: $i > $o ).
tff(f_44,negated_conjecture,
~ ! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ( m2_filter_2(k6_domain_1(u1_struct_0(A),B),A)
=> v13_lattices(A) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t27_filter_2) ).
tff(f_191,axiom,
! [A] :
( l3_lattices(A)
=> ( v3_lattices(k1_lattice2(A))
& l3_lattices(k1_lattice2(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_lattice2) ).
tff(f_513,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/sandbox/benchmark/theBenchmark.p',fc6_lattice2) ).
tff(f_169,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/sandbox/benchmark/theBenchmark.p',d4_filter_2) ).
tff(f_203,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/sandbox/benchmark/theBenchmark.p',dt_k5_filter_2) ).
tff(f_368,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l3_lattices(A) )
=> ( ~ v3_struct_0(k1_lattice2(A))
& v3_lattices(k1_lattice2(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_lattice2) ).
tff(f_224,axiom,
! [A] :
( l3_lattices(A)
=> ( l1_lattices(A)
& l2_lattices(A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
tff(f_218,axiom,
! [A] :
( l2_lattices(A)
=> l1_struct_0(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_lattices) ).
tff(f_675,axiom,
! [A,B] :
( ( ~ v1_xboole_0(A)
& m1_subset_1(B,A) )
=> ( k6_domain_1(A,B) = k1_tarski(B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k6_domain_1) ).
tff(f_376,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l1_struct_0(A) )
=> ~ v1_xboole_0(u1_struct_0(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
tff(f_723,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ! [B] :
( m2_filter_2(B,A)
<=> m1_filter_2(B,k1_lattice2(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_filter_2) ).
tff(f_687,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ! [B] :
( m1_filter_2(B,A)
<=> m1_filter_0(B,A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m1_filter_2) ).
tff(f_707,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ( m1_filter_0(k6_domain_1(u1_struct_0(A),B),A)
=> v14_lattices(A) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_filter_0) ).
tff(f_757,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ( v13_lattices(A)
<=> v14_lattices(k1_lattice2(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t63_lattice2) ).
tff(c_12,plain,
~ v3_struct_0('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_2,plain,
~ v13_lattices('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_10,plain,
v10_lattices('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_8,plain,
l3_lattices('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_66,plain,
! [A_22] :
( l3_lattices(k1_lattice2(A_22))
| ~ l3_lattices(A_22) ),
inference(cnfTransformation,[status(thm)],[f_191]) ).
tff(c_212,plain,
! [A_77] :
( v10_lattices(k1_lattice2(A_77))
| ~ l3_lattices(A_77)
| ~ v10_lattices(A_77)
| v3_struct_0(A_77) ),
inference(cnfTransformation,[status(thm)],[f_513]) ).
tff(c_6,plain,
m1_subset_1('#skF_2',u1_struct_0('#skF_1')),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_3042,plain,
! [A_422,B_423] :
( ( k5_filter_2(A_422,B_423) = B_423 )
| ~ m1_subset_1(B_423,u1_struct_0(A_422))
| ~ l3_lattices(A_422)
| ~ v10_lattices(A_422)
| v3_struct_0(A_422) ),
inference(cnfTransformation,[status(thm)],[f_169]) ).
tff(c_3069,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_6,c_3042]) ).
tff(c_3091,plain,
( ( k5_filter_2('#skF_1','#skF_2') = '#skF_2' )
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_3069]) ).
tff(c_3092,plain,
k5_filter_2('#skF_1','#skF_2') = '#skF_2',
inference(negUnitSimplification,[status(thm)],[c_12,c_3091]) ).
tff(c_3611,plain,
! [A_465,B_466] :
( m1_subset_1(k5_filter_2(A_465,B_466),u1_struct_0(k1_lattice2(A_465)))
| ~ m1_subset_1(B_466,u1_struct_0(A_465))
| ~ l3_lattices(A_465)
| ~ v10_lattices(A_465)
| v3_struct_0(A_465) ),
inference(cnfTransformation,[status(thm)],[f_203]) ).
tff(c_3634,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_3092,c_3611]) ).
tff(c_3651,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_10,c_8,c_6,c_3634]) ).
tff(c_3652,plain,
m1_subset_1('#skF_2',u1_struct_0(k1_lattice2('#skF_1'))),
inference(negUnitSimplification,[status(thm)],[c_12,c_3651]) ).
tff(c_60,plain,
! [A_16,B_18] :
( ( k5_filter_2(A_16,B_18) = B_18 )
| ~ m1_subset_1(B_18,u1_struct_0(A_16))
| ~ l3_lattices(A_16)
| ~ v10_lattices(A_16)
| v3_struct_0(A_16) ),
inference(cnfTransformation,[status(thm)],[f_169]) ).
tff(c_3661,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_3652,c_60]) ).
tff(c_4451,plain,
~ v10_lattices(k1_lattice2('#skF_1')),
inference(splitLeft,[status(thm)],[c_3661]) ).
tff(c_4454,plain,
( ~ l3_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_212,c_4451]) ).
tff(c_4457,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_4454]) ).
tff(c_4459,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12,c_4457]) ).
tff(c_4460,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_3661]) ).
tff(c_4462,plain,
~ l3_lattices(k1_lattice2('#skF_1')),
inference(splitLeft,[status(thm)],[c_4460]) ).
tff(c_4465,plain,
~ l3_lattices('#skF_1'),
inference(resolution,[status(thm)],[c_66,c_4462]) ).
tff(c_4469,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_8,c_4465]) ).
tff(c_4470,plain,
( ( k5_filter_2(k1_lattice2('#skF_1'),'#skF_2') = '#skF_2' )
| v3_struct_0(k1_lattice2('#skF_1')) ),
inference(splitRight,[status(thm)],[c_4460]) ).
tff(c_4493,plain,
v3_struct_0(k1_lattice2('#skF_1')),
inference(splitLeft,[status(thm)],[c_4470]) ).
tff(c_150,plain,
! [A_63] :
( ~ v3_struct_0(k1_lattice2(A_63))
| ~ l3_lattices(A_63)
| v3_struct_0(A_63) ),
inference(cnfTransformation,[status(thm)],[f_368]) ).
tff(c_4496,plain,
( ~ l3_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_4493,c_150]) ).
tff(c_4499,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_4496]) ).
tff(c_4501,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12,c_4499]) ).
tff(c_4503,plain,
~ v3_struct_0(k1_lattice2('#skF_1')),
inference(splitRight,[status(thm)],[c_4470]) ).
tff(c_386,plain,
! [A_136] :
( l2_lattices(A_136)
| ~ l3_lattices(A_136) ),
inference(cnfTransformation,[status(thm)],[f_224]) ).
tff(c_409,plain,
l2_lattices('#skF_1'),
inference(resolution,[status(thm)],[c_8,c_386]) ).
tff(c_86,plain,
! [A_28] :
( l1_struct_0(A_28)
| ~ l2_lattices(A_28) ),
inference(cnfTransformation,[status(thm)],[f_218]) ).
tff(c_435,plain,
l1_struct_0('#skF_1'),
inference(resolution,[status(thm)],[c_409,c_86]) ).
tff(c_940,plain,
! [A_263,B_264] :
( ( k6_domain_1(A_263,B_264) = k1_tarski(B_264) )
| ~ m1_subset_1(B_264,A_263)
| v1_xboole_0(A_263) ),
inference(cnfTransformation,[status(thm)],[f_675]) ).
tff(c_978,plain,
( ( k6_domain_1(u1_struct_0('#skF_1'),'#skF_2') = k1_tarski('#skF_2') )
| v1_xboole_0(u1_struct_0('#skF_1')) ),
inference(resolution,[status(thm)],[c_6,c_940]) ).
tff(c_1041,plain,
v1_xboole_0(u1_struct_0('#skF_1')),
inference(splitLeft,[status(thm)],[c_978]) ).
tff(c_152,plain,
! [A_64] :
( ~ v1_xboole_0(u1_struct_0(A_64))
| ~ l1_struct_0(A_64)
| v3_struct_0(A_64) ),
inference(cnfTransformation,[status(thm)],[f_376]) ).
tff(c_1044,plain,
( ~ l1_struct_0('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_1041,c_152]) ).
tff(c_1058,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_435,c_1044]) ).
tff(c_1060,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12,c_1058]) ).
tff(c_1061,plain,
k6_domain_1(u1_struct_0('#skF_1'),'#skF_2') = k1_tarski('#skF_2'),
inference(splitRight,[status(thm)],[c_978]) ).
tff(c_4,plain,
m2_filter_2(k6_domain_1(u1_struct_0('#skF_1'),'#skF_2'),'#skF_1'),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_1063,plain,
m2_filter_2(k1_tarski('#skF_2'),'#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_1061,c_4]) ).
tff(c_4461,plain,
v10_lattices(k1_lattice2('#skF_1')),
inference(splitRight,[status(thm)],[c_3661]) ).
tff(c_4471,plain,
l3_lattices(k1_lattice2('#skF_1')),
inference(splitRight,[status(thm)],[c_4460]) ).
tff(c_569,plain,
! [A_148] :
( l3_lattices(k1_lattice2(A_148))
| ~ l3_lattices(A_148) ),
inference(cnfTransformation,[status(thm)],[f_191]) ).
tff(c_88,plain,
! [A_29] :
( l2_lattices(A_29)
| ~ l3_lattices(A_29) ),
inference(cnfTransformation,[status(thm)],[f_224]) ).
tff(c_583,plain,
! [A_154] :
( l2_lattices(k1_lattice2(A_154))
| ~ l3_lattices(A_154) ),
inference(resolution,[status(thm)],[c_569,c_88]) ).
tff(c_587,plain,
! [A_154] :
( l1_struct_0(k1_lattice2(A_154))
| ~ l3_lattices(A_154) ),
inference(resolution,[status(thm)],[c_583,c_86]) ).
tff(c_340,plain,
! [A_95,B_96] :
( ( k6_domain_1(A_95,B_96) = k1_tarski(B_96) )
| ~ m1_subset_1(B_96,A_95)
| v1_xboole_0(A_95) ),
inference(cnfTransformation,[status(thm)],[f_675]) ).
tff(c_3663,plain,
( ( k6_domain_1(u1_struct_0(k1_lattice2('#skF_1')),'#skF_2') = k1_tarski('#skF_2') )
| v1_xboole_0(u1_struct_0(k1_lattice2('#skF_1'))) ),
inference(resolution,[status(thm)],[c_3652,c_340]) ).
tff(c_3712,plain,
v1_xboole_0(u1_struct_0(k1_lattice2('#skF_1'))),
inference(splitLeft,[status(thm)],[c_3663]) ).
tff(c_3730,plain,
( ~ l1_struct_0(k1_lattice2('#skF_1'))
| v3_struct_0(k1_lattice2('#skF_1')) ),
inference(resolution,[status(thm)],[c_3712,c_152]) ).
tff(c_3960,plain,
~ l1_struct_0(k1_lattice2('#skF_1')),
inference(splitLeft,[status(thm)],[c_3730]) ).
tff(c_3986,plain,
~ l3_lattices('#skF_1'),
inference(resolution,[status(thm)],[c_587,c_3960]) ).
tff(c_3993,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_8,c_3986]) ).
tff(c_3994,plain,
v3_struct_0(k1_lattice2('#skF_1')),
inference(splitRight,[status(thm)],[c_3730]) ).
tff(c_3998,plain,
( ~ l3_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_3994,c_150]) ).
tff(c_4001,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_3998]) ).
tff(c_4003,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12,c_4001]) ).
tff(c_4004,plain,
k6_domain_1(u1_struct_0(k1_lattice2('#skF_1')),'#skF_2') = k1_tarski('#skF_2'),
inference(splitRight,[status(thm)],[c_3663]) ).
tff(c_2367,plain,
! [B_392,A_393] :
( m1_filter_2(B_392,k1_lattice2(A_393))
| ~ m2_filter_2(B_392,A_393)
| ~ l3_lattices(A_393)
| ~ v10_lattices(A_393)
| v3_struct_0(A_393) ),
inference(cnfTransformation,[status(thm)],[f_723]) ).
tff(c_342,plain,
! [B_99,A_97] :
( m1_filter_0(B_99,A_97)
| ~ m1_filter_2(B_99,A_97)
| ~ l3_lattices(A_97)
| ~ v10_lattices(A_97)
| v3_struct_0(A_97) ),
inference(cnfTransformation,[status(thm)],[f_687]) ).
tff(c_8900,plain,
! [B_635,A_636] :
( m1_filter_0(B_635,k1_lattice2(A_636))
| ~ l3_lattices(k1_lattice2(A_636))
| ~ v10_lattices(k1_lattice2(A_636))
| v3_struct_0(k1_lattice2(A_636))
| ~ m2_filter_2(B_635,A_636)
| ~ l3_lattices(A_636)
| ~ v10_lattices(A_636)
| v3_struct_0(A_636) ),
inference(resolution,[status(thm)],[c_2367,c_342]) ).
tff(c_352,plain,
! [A_105,B_107] :
( v14_lattices(A_105)
| ~ m1_filter_0(k6_domain_1(u1_struct_0(A_105),B_107),A_105)
| ~ m1_subset_1(B_107,u1_struct_0(A_105))
| ~ l3_lattices(A_105)
| ~ v10_lattices(A_105)
| v3_struct_0(A_105) ),
inference(cnfTransformation,[status(thm)],[f_707]) ).
tff(c_26076,plain,
! [A_1085,B_1086] :
( v14_lattices(k1_lattice2(A_1085))
| ~ m1_subset_1(B_1086,u1_struct_0(k1_lattice2(A_1085)))
| ~ l3_lattices(k1_lattice2(A_1085))
| ~ v10_lattices(k1_lattice2(A_1085))
| v3_struct_0(k1_lattice2(A_1085))
| ~ m2_filter_2(k6_domain_1(u1_struct_0(k1_lattice2(A_1085)),B_1086),A_1085)
| ~ l3_lattices(A_1085)
| ~ v10_lattices(A_1085)
| v3_struct_0(A_1085) ),
inference(resolution,[status(thm)],[c_8900,c_352]) ).
tff(c_26132,plain,
( v14_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'))
| ~ m2_filter_2(k1_tarski('#skF_2'),'#skF_1')
| ~ l3_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_4004,c_26076]) ).
tff(c_26177,plain,
( v14_lattices(k1_lattice2('#skF_1'))
| v3_struct_0(k1_lattice2('#skF_1'))
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_1063,c_4461,c_4471,c_3652,c_26132]) ).
tff(c_26178,plain,
v14_lattices(k1_lattice2('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_12,c_4503,c_26177]) ).
tff(c_370,plain,
! [A_123] :
( v13_lattices(A_123)
| ~ v14_lattices(k1_lattice2(A_123))
| ~ l3_lattices(A_123)
| ~ v10_lattices(A_123)
| v3_struct_0(A_123) ),
inference(cnfTransformation,[status(thm)],[f_757]) ).
tff(c_26183,plain,
( v13_lattices('#skF_1')
| ~ l3_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_26178,c_370]) ).
tff(c_26186,plain,
( v13_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_26183]) ).
tff(c_26188,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12,c_2,c_26186]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LAT303+1 : TPTP v9.0.0. Released v3.4.0.
% 0.06/0.12 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Apr 8 04:11:17 EDT 2025
% 0.12/0.33 % CPUTime :
% 25.14/10.91 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 25.14/10.92
% 25.14/10.92 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------