TSTP Solution File: LAT302+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LAT302+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 : n010.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 10:46:43 EDT 2023
% Result : Theorem 172.47s 134.44s
% Output : CNFRefutation 172.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 90
% Syntax : Number of formulae : 166 ( 33 unt; 75 typ; 0 def)
% Number of atoms : 290 ( 8 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 331 ( 132 ~; 145 |; 34 &)
% ( 3 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 80 ( 57 >; 23 *; 0 +; 0 <<)
% Number of predicates : 37 ( 35 usr; 1 prp; 0-3 aty)
% Number of functors : 40 ( 40 usr; 18 con; 0-3 aty)
% Number of variables : 51 (; 51 !; 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 > k2_zfmisc_1 > #nlpp > u2_lattices > u1_struct_0 > u1_lattices > k6_lattices > k5_lattices > k1_zfmisc_1 > k1_tarski > k1_lattice2 > k1_xboole_0 > #skF_9 > #skF_7 > #skF_21 > #skF_20 > #skF_18 > #skF_25 > #skF_19 > #skF_16 > #skF_15 > #skF_12 > #skF_14 > #skF_5 > #skF_10 > #skF_13 > #skF_2 > #skF_3 > #skF_1 > #skF_8 > #skF_26 > #skF_4 > #skF_17 > #skF_11 > #skF_22 > #skF_28 > #skF_24 > #skF_27 > #skF_23 > #skF_6
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(l3_lattices,type,
l3_lattices: $i > $o ).
tff(k1_lattice2,type,
k1_lattice2: $i > $i ).
tff('#skF_9',type,
'#skF_9': $i > $i ).
tff(k6_lattices,type,
k6_lattices: $i > $i ).
tff('#skF_7',type,
'#skF_7': $i > $i ).
tff(m2_relset_1,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff('#skF_21',type,
'#skF_21': $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 ).
tff(r2_hidden,type,
r2_hidden: ( $i * $i ) > $o ).
tff(k1_tarski,type,
k1_tarski: $i > $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(l1_lattices,type,
l1_lattices: $i > $o ).
tff('#skF_19',type,
'#skF_19': $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_16',type,
'#skF_16': $i ).
tff('#skF_15',type,
'#skF_15': $i > $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(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_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(m1_filter_2,type,
m1_filter_2: ( $i * $i ) > $o ).
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(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_26',type,
'#skF_26': $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('#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(v8_lattices,type,
v8_lattices: $i > $o ).
tff('#skF_28',type,
'#skF_28': $i ).
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(u1_struct_0,type,
u1_struct_0: $i > $i ).
tff(v1_xboole_0,type,
v1_xboole_0: $i > $o ).
tff(v1_finset_1,type,
v1_finset_1: $i > $o ).
tff('#skF_6',type,
'#skF_6': $i > $i ).
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_41,negated_conjecture,
~ ! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ( v13_lattices(A)
=> m2_filter_2(k6_domain_1(u1_struct_0(A),k5_lattices(A)),A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t26_filter_2) ).
tff(f_212,axiom,
! [A] :
( l3_lattices(A)
=> ( l1_lattices(A)
& l2_lattices(A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_lattices) ).
tff(f_206,axiom,
! [A] :
( l2_lattices(A)
=> l1_struct_0(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l2_lattices) ).
tff(f_176,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_501,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_749,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ( v13_lattices(A)
<=> v14_lattices(k1_lattice2(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t63_lattice2) ).
tff(f_764,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& v13_lattices(A)
& l3_lattices(A) )
=> ( k5_lattices(A) = k6_lattices(k1_lattice2(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t78_lattice2) ).
tff(f_198,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l2_lattices(A) )
=> m1_subset_1(k6_lattices(A),u1_struct_0(A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_lattices) ).
tff(f_663,axiom,
! [A,B] :
( ( ~ v1_xboole_0(A)
& m1_subset_1(B,A) )
=> ( k6_domain_1(A,B) = k1_tarski(B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k6_domain_1) ).
tff(f_699,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ( ( ~ v3_struct_0(A)
& v10_lattices(A)
& v14_lattices(A)
& l3_lattices(A) )
=> m1_filter_0(k6_domain_1(u1_struct_0(A),k6_lattices(A)),A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_filter_0) ).
tff(f_675,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/sandbox2/benchmark/theBenchmark.p',redefinition_m1_filter_2) ).
tff(f_715,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/sandbox2/benchmark/theBenchmark.p',t21_filter_2) ).
tff(f_184,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l1_lattices(A) )
=> m1_subset_1(k5_lattices(A),u1_struct_0(A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_lattices) ).
tff(f_356,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_364,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l1_struct_0(A) )
=> ~ v1_xboole_0(u1_struct_0(A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
tff(c_10,plain,
~ v3_struct_0('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_6,plain,
l3_lattices('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_411,plain,
! [A_132] :
( l2_lattices(A_132)
| ~ l3_lattices(A_132) ),
inference(cnfTransformation,[status(thm)],[f_212]) ).
tff(c_433,plain,
l2_lattices('#skF_1'),
inference(resolution,[status(thm)],[c_6,c_411]) ).
tff(c_492,plain,
! [A_136] :
( l1_struct_0(A_136)
| ~ l2_lattices(A_136) ),
inference(cnfTransformation,[status(thm)],[f_206]) ).
tff(c_518,plain,
l1_struct_0('#skF_1'),
inference(resolution,[status(thm)],[c_433,c_492]) ).
tff(c_62,plain,
! [A_18] :
( l3_lattices(k1_lattice2(A_18))
| ~ l3_lattices(A_18) ),
inference(cnfTransformation,[status(thm)],[f_176]) ).
tff(c_8,plain,
v10_lattices('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_210,plain,
! [A_73] :
( v10_lattices(k1_lattice2(A_73))
| ~ l3_lattices(A_73)
| ~ v10_lattices(A_73)
| v3_struct_0(A_73) ),
inference(cnfTransformation,[status(thm)],[f_501]) ).
tff(c_4,plain,
v13_lattices('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_370,plain,
! [A_117] :
( v14_lattices(k1_lattice2(A_117))
| ~ v13_lattices(A_117)
| ~ l3_lattices(A_117)
| ~ v10_lattices(A_117)
| v3_struct_0(A_117) ),
inference(cnfTransformation,[status(thm)],[f_749]) ).
tff(c_536,plain,
! [A_142] :
( l3_lattices(k1_lattice2(A_142))
| ~ l3_lattices(A_142) ),
inference(cnfTransformation,[status(thm)],[f_176]) ).
tff(c_86,plain,
! [A_25] :
( l2_lattices(A_25)
| ~ l3_lattices(A_25) ),
inference(cnfTransformation,[status(thm)],[f_212]) ).
tff(c_543,plain,
! [A_142] :
( l2_lattices(k1_lattice2(A_142))
| ~ l3_lattices(A_142) ),
inference(resolution,[status(thm)],[c_536,c_86]) ).
tff(c_2147,plain,
! [A_389] :
( ( k6_lattices(k1_lattice2(A_389)) = k5_lattices(A_389) )
| ~ l3_lattices(A_389)
| ~ v13_lattices(A_389)
| ~ v10_lattices(A_389)
| v3_struct_0(A_389) ),
inference(cnfTransformation,[status(thm)],[f_764]) ).
tff(c_78,plain,
! [A_22] :
( m1_subset_1(k6_lattices(A_22),u1_struct_0(A_22))
| ~ l2_lattices(A_22)
| v3_struct_0(A_22) ),
inference(cnfTransformation,[status(thm)],[f_198]) ).
tff(c_7937,plain,
! [A_647] :
( m1_subset_1(k5_lattices(A_647),u1_struct_0(k1_lattice2(A_647)))
| ~ l2_lattices(k1_lattice2(A_647))
| v3_struct_0(k1_lattice2(A_647))
| ~ l3_lattices(A_647)
| ~ v13_lattices(A_647)
| ~ v10_lattices(A_647)
| v3_struct_0(A_647) ),
inference(superposition,[status(thm),theory(equality)],[c_2147,c_78]) ).
tff(c_338,plain,
! [A_91,B_92] :
( ( k6_domain_1(A_91,B_92) = k1_tarski(B_92) )
| ~ m1_subset_1(B_92,A_91)
| v1_xboole_0(A_91) ),
inference(cnfTransformation,[status(thm)],[f_663]) ).
tff(c_7944,plain,
! [A_647] :
( ( k6_domain_1(u1_struct_0(k1_lattice2(A_647)),k5_lattices(A_647)) = k1_tarski(k5_lattices(A_647)) )
| v1_xboole_0(u1_struct_0(k1_lattice2(A_647)))
| ~ l2_lattices(k1_lattice2(A_647))
| v3_struct_0(k1_lattice2(A_647))
| ~ l3_lattices(A_647)
| ~ v13_lattices(A_647)
| ~ v10_lattices(A_647)
| v3_struct_0(A_647) ),
inference(resolution,[status(thm)],[c_7937,c_338]) ).
tff(c_374,plain,
! [A_119] :
( ( k6_lattices(k1_lattice2(A_119)) = k5_lattices(A_119) )
| ~ l3_lattices(A_119)
| ~ v13_lattices(A_119)
| ~ v10_lattices(A_119)
| v3_struct_0(A_119) ),
inference(cnfTransformation,[status(thm)],[f_764]) ).
tff(c_2584,plain,
! [A_413] :
( m1_filter_0(k6_domain_1(u1_struct_0(A_413),k6_lattices(A_413)),A_413)
| ~ v14_lattices(A_413)
| ~ l3_lattices(A_413)
| ~ v10_lattices(A_413)
| v3_struct_0(A_413) ),
inference(cnfTransformation,[status(thm)],[f_699]) ).
tff(c_8513,plain,
! [A_669] :
( m1_filter_0(k6_domain_1(u1_struct_0(k1_lattice2(A_669)),k5_lattices(A_669)),k1_lattice2(A_669))
| ~ v14_lattices(k1_lattice2(A_669))
| ~ l3_lattices(k1_lattice2(A_669))
| ~ v10_lattices(k1_lattice2(A_669))
| v3_struct_0(k1_lattice2(A_669))
| ~ l3_lattices(A_669)
| ~ v13_lattices(A_669)
| ~ v10_lattices(A_669)
| v3_struct_0(A_669) ),
inference(superposition,[status(thm),theory(equality)],[c_374,c_2584]) ).
tff(c_342,plain,
! [B_95,A_93] :
( m1_filter_2(B_95,A_93)
| ~ m1_filter_0(B_95,A_93)
| ~ l3_lattices(A_93)
| ~ v10_lattices(A_93)
| v3_struct_0(A_93) ),
inference(cnfTransformation,[status(thm)],[f_675]) ).
tff(c_2009,plain,
! [B_383,A_384] :
( m2_filter_2(B_383,A_384)
| ~ m1_filter_2(B_383,k1_lattice2(A_384))
| ~ l3_lattices(A_384)
| ~ v10_lattices(A_384)
| v3_struct_0(A_384) ),
inference(cnfTransformation,[status(thm)],[f_715]) ).
tff(c_2018,plain,
! [B_95,A_384] :
( m2_filter_2(B_95,A_384)
| ~ l3_lattices(A_384)
| ~ v10_lattices(A_384)
| v3_struct_0(A_384)
| ~ m1_filter_0(B_95,k1_lattice2(A_384))
| ~ l3_lattices(k1_lattice2(A_384))
| ~ v10_lattices(k1_lattice2(A_384))
| v3_struct_0(k1_lattice2(A_384)) ),
inference(resolution,[status(thm)],[c_342,c_2009]) ).
tff(c_34646,plain,
! [A_1360] :
( m2_filter_2(k6_domain_1(u1_struct_0(k1_lattice2(A_1360)),k5_lattices(A_1360)),A_1360)
| ~ v14_lattices(k1_lattice2(A_1360))
| ~ l3_lattices(k1_lattice2(A_1360))
| ~ v10_lattices(k1_lattice2(A_1360))
| v3_struct_0(k1_lattice2(A_1360))
| ~ l3_lattices(A_1360)
| ~ v13_lattices(A_1360)
| ~ v10_lattices(A_1360)
| v3_struct_0(A_1360) ),
inference(resolution,[status(thm)],[c_8513,c_2018]) ).
tff(c_343402,plain,
! [A_3829] :
( m2_filter_2(k1_tarski(k5_lattices(A_3829)),A_3829)
| ~ v14_lattices(k1_lattice2(A_3829))
| ~ l3_lattices(k1_lattice2(A_3829))
| ~ v10_lattices(k1_lattice2(A_3829))
| v3_struct_0(k1_lattice2(A_3829))
| ~ l3_lattices(A_3829)
| ~ v13_lattices(A_3829)
| ~ v10_lattices(A_3829)
| v3_struct_0(A_3829)
| v1_xboole_0(u1_struct_0(k1_lattice2(A_3829)))
| ~ l2_lattices(k1_lattice2(A_3829))
| v3_struct_0(k1_lattice2(A_3829))
| ~ l3_lattices(A_3829)
| ~ v13_lattices(A_3829)
| ~ v10_lattices(A_3829)
| v3_struct_0(A_3829) ),
inference(superposition,[status(thm),theory(equality)],[c_7944,c_34646]) ).
tff(c_386,plain,
! [A_131] :
( l1_lattices(A_131)
| ~ l3_lattices(A_131) ),
inference(cnfTransformation,[status(thm)],[f_212]) ).
tff(c_408,plain,
l1_lattices('#skF_1'),
inference(resolution,[status(thm)],[c_6,c_386]) ).
tff(c_74,plain,
! [A_19] :
( m1_subset_1(k5_lattices(A_19),u1_struct_0(A_19))
| ~ l1_lattices(A_19)
| v3_struct_0(A_19) ),
inference(cnfTransformation,[status(thm)],[f_184]) ).
tff(c_792,plain,
! [A_230,B_231] :
( ( k6_domain_1(A_230,B_231) = k1_tarski(B_231) )
| ~ m1_subset_1(B_231,A_230)
| v1_xboole_0(A_230) ),
inference(cnfTransformation,[status(thm)],[f_663]) ).
tff(c_6252,plain,
! [A_600] :
( ( k6_domain_1(u1_struct_0(A_600),k5_lattices(A_600)) = k1_tarski(k5_lattices(A_600)) )
| v1_xboole_0(u1_struct_0(A_600))
| ~ l1_lattices(A_600)
| v3_struct_0(A_600) ),
inference(resolution,[status(thm)],[c_74,c_792]) ).
tff(c_2,plain,
~ m2_filter_2(k6_domain_1(u1_struct_0('#skF_1'),k5_lattices('#skF_1')),'#skF_1'),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_6270,plain,
( ~ m2_filter_2(k1_tarski(k5_lattices('#skF_1')),'#skF_1')
| v1_xboole_0(u1_struct_0('#skF_1'))
| ~ l1_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_6252,c_2]) ).
tff(c_6276,plain,
( ~ m2_filter_2(k1_tarski(k5_lattices('#skF_1')),'#skF_1')
| v1_xboole_0(u1_struct_0('#skF_1'))
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_408,c_6270]) ).
tff(c_6277,plain,
( ~ m2_filter_2(k1_tarski(k5_lattices('#skF_1')),'#skF_1')
| v1_xboole_0(u1_struct_0('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_10,c_6276]) ).
tff(c_6284,plain,
~ m2_filter_2(k1_tarski(k5_lattices('#skF_1')),'#skF_1'),
inference(splitLeft,[status(thm)],[c_6277]) ).
tff(c_343405,plain,
( ~ v14_lattices(k1_lattice2('#skF_1'))
| ~ l3_lattices(k1_lattice2('#skF_1'))
| ~ v10_lattices(k1_lattice2('#skF_1'))
| v1_xboole_0(u1_struct_0(k1_lattice2('#skF_1')))
| ~ l2_lattices(k1_lattice2('#skF_1'))
| v3_struct_0(k1_lattice2('#skF_1'))
| ~ l3_lattices('#skF_1')
| ~ v13_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_343402,c_6284]) ).
tff(c_343411,plain,
( ~ v14_lattices(k1_lattice2('#skF_1'))
| ~ l3_lattices(k1_lattice2('#skF_1'))
| ~ v10_lattices(k1_lattice2('#skF_1'))
| v1_xboole_0(u1_struct_0(k1_lattice2('#skF_1')))
| ~ l2_lattices(k1_lattice2('#skF_1'))
| v3_struct_0(k1_lattice2('#skF_1'))
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_4,c_6,c_343405]) ).
tff(c_343412,plain,
( ~ v14_lattices(k1_lattice2('#skF_1'))
| ~ l3_lattices(k1_lattice2('#skF_1'))
| ~ v10_lattices(k1_lattice2('#skF_1'))
| v1_xboole_0(u1_struct_0(k1_lattice2('#skF_1')))
| ~ l2_lattices(k1_lattice2('#skF_1'))
| v3_struct_0(k1_lattice2('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_10,c_343411]) ).
tff(c_343716,plain,
~ l2_lattices(k1_lattice2('#skF_1')),
inference(splitLeft,[status(thm)],[c_343412]) ).
tff(c_343719,plain,
~ l3_lattices('#skF_1'),
inference(resolution,[status(thm)],[c_543,c_343716]) ).
tff(c_343723,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_6,c_343719]) ).
tff(c_343724,plain,
( ~ v10_lattices(k1_lattice2('#skF_1'))
| ~ l3_lattices(k1_lattice2('#skF_1'))
| ~ v14_lattices(k1_lattice2('#skF_1'))
| v3_struct_0(k1_lattice2('#skF_1'))
| v1_xboole_0(u1_struct_0(k1_lattice2('#skF_1'))) ),
inference(splitRight,[status(thm)],[c_343412]) ).
tff(c_344158,plain,
~ v14_lattices(k1_lattice2('#skF_1')),
inference(splitLeft,[status(thm)],[c_343724]) ).
tff(c_344161,plain,
( ~ v13_lattices('#skF_1')
| ~ l3_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_370,c_344158]) ).
tff(c_344164,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_6,c_4,c_344161]) ).
tff(c_344166,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10,c_344164]) ).
tff(c_344167,plain,
( ~ l3_lattices(k1_lattice2('#skF_1'))
| ~ v10_lattices(k1_lattice2('#skF_1'))
| v1_xboole_0(u1_struct_0(k1_lattice2('#skF_1')))
| v3_struct_0(k1_lattice2('#skF_1')) ),
inference(splitRight,[status(thm)],[c_343724]) ).
tff(c_344176,plain,
~ v10_lattices(k1_lattice2('#skF_1')),
inference(splitLeft,[status(thm)],[c_344167]) ).
tff(c_344179,plain,
( ~ l3_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_210,c_344176]) ).
tff(c_344182,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_6,c_344179]) ).
tff(c_344184,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10,c_344182]) ).
tff(c_344185,plain,
( ~ l3_lattices(k1_lattice2('#skF_1'))
| v3_struct_0(k1_lattice2('#skF_1'))
| v1_xboole_0(u1_struct_0(k1_lattice2('#skF_1'))) ),
inference(splitRight,[status(thm)],[c_344167]) ).
tff(c_344433,plain,
~ l3_lattices(k1_lattice2('#skF_1')),
inference(splitLeft,[status(thm)],[c_344185]) ).
tff(c_344436,plain,
~ l3_lattices('#skF_1'),
inference(resolution,[status(thm)],[c_62,c_344433]) ).
tff(c_344440,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_6,c_344436]) ).
tff(c_344441,plain,
( v1_xboole_0(u1_struct_0(k1_lattice2('#skF_1')))
| v3_struct_0(k1_lattice2('#skF_1')) ),
inference(splitRight,[status(thm)],[c_344185]) ).
tff(c_344452,plain,
v3_struct_0(k1_lattice2('#skF_1')),
inference(splitLeft,[status(thm)],[c_344441]) ).
tff(c_148,plain,
! [A_59] :
( ~ v3_struct_0(k1_lattice2(A_59))
| ~ l3_lattices(A_59)
| v3_struct_0(A_59) ),
inference(cnfTransformation,[status(thm)],[f_356]) ).
tff(c_344455,plain,
( ~ l3_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_344452,c_148]) ).
tff(c_344458,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_344455]) ).
tff(c_344460,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10,c_344458]) ).
tff(c_344462,plain,
~ v3_struct_0(k1_lattice2('#skF_1')),
inference(splitRight,[status(thm)],[c_344441]) ).
tff(c_343725,plain,
l2_lattices(k1_lattice2('#skF_1')),
inference(splitRight,[status(thm)],[c_343412]) ).
tff(c_84,plain,
! [A_24] :
( l1_struct_0(A_24)
| ~ l2_lattices(A_24) ),
inference(cnfTransformation,[status(thm)],[f_206]) ).
tff(c_343729,plain,
l1_struct_0(k1_lattice2('#skF_1')),
inference(resolution,[status(thm)],[c_343725,c_84]) ).
tff(c_344461,plain,
v1_xboole_0(u1_struct_0(k1_lattice2('#skF_1'))),
inference(splitRight,[status(thm)],[c_344441]) ).
tff(c_150,plain,
! [A_60] :
( ~ v1_xboole_0(u1_struct_0(A_60))
| ~ l1_struct_0(A_60)
| v3_struct_0(A_60) ),
inference(cnfTransformation,[status(thm)],[f_364]) ).
tff(c_344529,plain,
( ~ l1_struct_0(k1_lattice2('#skF_1'))
| v3_struct_0(k1_lattice2('#skF_1')) ),
inference(resolution,[status(thm)],[c_344461,c_150]) ).
tff(c_344578,plain,
v3_struct_0(k1_lattice2('#skF_1')),
inference(demodulation,[status(thm),theory(equality)],[c_343729,c_344529]) ).
tff(c_344580,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_344462,c_344578]) ).
tff(c_344581,plain,
v1_xboole_0(u1_struct_0('#skF_1')),
inference(splitRight,[status(thm)],[c_6277]) ).
tff(c_344591,plain,
( ~ l1_struct_0('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_344581,c_150]) ).
tff(c_344614,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_518,c_344591]) ).
tff(c_344616,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10,c_344614]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LAT302+1 : TPTP v8.1.2. Released v3.4.0.
% 0.13/0.14 % 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 : n010.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 12:15:29 EDT 2023
% 0.14/0.36 % CPUTime :
% 172.47/134.44 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 172.47/134.45
% 172.47/134.45 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 172.47/134.48
% 172.47/134.48 Inference rules
% 172.47/134.48 ----------------------
% 172.47/134.48 #Ref : 9
% 172.47/134.48 #Sup : 88230
% 172.47/134.48 #Fact : 4
% 172.47/134.48 #Define : 0
% 172.47/134.48 #Split : 179
% 172.47/134.48 #Chain : 0
% 172.47/134.48 #Close : 0
% 172.47/134.48
% 172.47/134.48 Ordering : KBO
% 172.47/134.48
% 172.47/134.48 Simplification rules
% 172.47/134.48 ----------------------
% 172.47/134.48 #Subsume : 40328
% 172.47/134.48 #Demod : 38327
% 172.47/134.48 #Tautology : 10335
% 172.47/134.48 #SimpNegUnit : 30662
% 172.47/134.48 #BackRed : 2125
% 172.47/134.48
% 172.47/134.48 #Partial instantiations: 0
% 172.47/134.49 #Strategies tried : 1
% 172.47/134.49
% 172.47/134.49 Timing (in seconds)
% 172.47/134.49 ----------------------
% 172.47/134.49 Preprocessing : 0.75
% 172.47/134.49 Parsing : 0.39
% 172.47/134.49 CNF conversion : 0.07
% 172.47/134.49 Main loop : 132.64
% 172.47/134.49 Inferencing : 14.49
% 172.47/134.49 Reduction : 55.59
% 172.47/134.49 Demodulation : 44.85
% 172.47/134.49 BG Simplification : 0.48
% 172.47/134.49 Subsumption : 53.82
% 172.47/134.49 Abstraction : 1.01
% 172.47/134.49 MUC search : 0.00
% 172.47/134.49 Cooper : 0.00
% 172.47/134.49 Total : 133.45
% 172.47/134.49 Index Insertion : 0.00
% 172.47/134.49 Index Deletion : 0.00
% 172.47/134.49 Index Matching : 0.00
% 172.47/134.49 BG Taut test : 0.00
%------------------------------------------------------------------------------