TSTP Solution File: LAT310+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LAT310+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/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 : n023.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 22.56s 9.40s
% Output : CNFRefutation 22.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 49
% Syntax : Number of formulae : 113 ( 31 unt; 42 typ; 0 def)
% Number of atoms : 248 ( 11 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 293 ( 116 ~; 140 |; 20 &)
% ( 1 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 38 ( 30 >; 8 *; 0 +; 0 <<)
% Number of predicates : 21 ( 19 usr; 1 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 12 con; 0-3 aty)
% Number of variables : 59 (; 59 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ r2_hidden > r1_tarski > m2_lattice4 > m2_filter_2 > m1_subset_1 > v9_lattices > v8_lattices > v7_lattices > v6_lattices > v5_lattices > v4_lattices > v3_struct_0 > v1_xboole_0 > v1_funct_1 > v10_lattices > l3_lattices > l2_lattices > l1_struct_0 > l1_lattices > k19_filter_2 > #nlpp > u1_struct_0 > k1_zfmisc_1 > k1_xboole_0 > #skF_16 > #skF_18 > #skF_17 > #skF_15 > #skF_19 > #skF_7 > #skF_10 > #skF_6 > #skF_5 > #skF_2 > #skF_3 > #skF_1 > #skF_9 > #skF_8 > #skF_13 > #skF_4 > #skF_11 > #skF_14 > #skF_12
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(l3_lattices,type,
l3_lattices: $i > $o ).
tff('#skF_16',type,
'#skF_16': $i > $i ).
tff(l2_lattices,type,
l2_lattices: $i > $o ).
tff(v1_funct_1,type,
v1_funct_1: $i > $o ).
tff('#skF_18',type,
'#skF_18': $i ).
tff('#skF_17',type,
'#skF_17': $i ).
tff(r2_hidden,type,
r2_hidden: ( $i * $i ) > $o ).
tff('#skF_15',type,
'#skF_15': $i ).
tff('#skF_19',type,
'#skF_19': $i > $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_7',type,
'#skF_7': $i ).
tff(r1_tarski,type,
r1_tarski: ( $i * $i ) > $o ).
tff(k19_filter_2,type,
k19_filter_2: ( $i * $i ) > $i ).
tff(v4_lattices,type,
v4_lattices: $i > $o ).
tff('#skF_10',type,
'#skF_10': $i > $i ).
tff('#skF_6',type,
'#skF_6': $i ).
tff(v6_lattices,type,
v6_lattices: $i > $o ).
tff('#skF_5',type,
'#skF_5': ( $i * $i * $i ) > $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff(v9_lattices,type,
v9_lattices: $i > $o ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(v5_lattices,type,
v5_lattices: $i > $o ).
tff(v10_lattices,type,
v10_lattices: $i > $o ).
tff('#skF_9',type,
'#skF_9': $i ).
tff(k1_zfmisc_1,type,
k1_zfmisc_1: $i > $i ).
tff(l1_struct_0,type,
l1_struct_0: $i > $o ).
tff('#skF_8',type,
'#skF_8': $i ).
tff('#skF_13',type,
'#skF_13': $i > $i ).
tff('#skF_4',type,
'#skF_4': $i ).
tff('#skF_11',type,
'#skF_11': $i > $i ).
tff('#skF_14',type,
'#skF_14': $i > $i ).
tff(v8_lattices,type,
v8_lattices: $i > $o ).
tff('#skF_12',type,
'#skF_12': $i > $i ).
tff(u1_struct_0,type,
u1_struct_0: $i > $i ).
tff(v1_xboole_0,type,
v1_xboole_0: $i > $o ).
tff(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_290,axiom,
! [A,B] : r1_tarski(A,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
tff(f_61,negated_conjecture,
~ ! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ! [B] :
( ( ~ v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
=> ! [C] :
( ( ~ v1_xboole_0(C)
& m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) )
=> ! [D] :
( ( ~ v1_xboole_0(D)
& m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) )
=> ( ( r1_tarski(C,D)
=> r1_tarski(k19_filter_2(A,C),k19_filter_2(A,D)) )
& r1_tarski(k19_filter_2(A,k19_filter_2(A,B)),k19_filter_2(A,B)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t39_filter_2) ).
tff(f_155,axiom,
! [A,B] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A)
& ~ v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
=> m2_filter_2(k19_filter_2(A,B),A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k19_filter_2) ).
tff(f_185,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ! [B] :
( m2_filter_2(B,A)
=> ( ~ v1_xboole_0(B)
& m2_lattice4(B,A) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_filter_2) ).
tff(f_197,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/sandbox/benchmark/theBenchmark.p',dt_m2_lattice4) ).
tff(f_141,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ! [B] :
( ( ~ v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
=> ! [C] :
( m2_filter_2(C,A)
=> ( ( C = k19_filter_2(A,B) )
<=> ( r1_tarski(B,C)
& ! [D] :
( m2_filter_2(D,A)
=> ( r1_tarski(B,D)
=> r1_tarski(C,D) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d11_filter_2) ).
tff(f_300,axiom,
! [A,B,C] :
( ( r1_tarski(A,B)
& r1_tarski(B,C) )
=> r1_tarski(A,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_xboole_1) ).
tff(c_126,plain,
! [A_66] : r1_tarski(A_66,A_66),
inference(cnfTransformation,[status(thm)],[f_290]) ).
tff(c_18,plain,
~ v3_struct_0('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_16,plain,
v10_lattices('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_14,plain,
l3_lattices('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_12,plain,
~ v1_xboole_0('#skF_2'),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_10,plain,
m1_subset_1('#skF_2',k1_zfmisc_1(u1_struct_0('#skF_1'))),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_1379,plain,
! [A_219,B_220] :
( m2_filter_2(k19_filter_2(A_219,B_220),A_219)
| ~ m1_subset_1(B_220,k1_zfmisc_1(u1_struct_0(A_219)))
| v1_xboole_0(B_220)
| ~ l3_lattices(A_219)
| ~ v10_lattices(A_219)
| v3_struct_0(A_219) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_1398,plain,
( m2_filter_2(k19_filter_2('#skF_1','#skF_2'),'#skF_1')
| v1_xboole_0('#skF_2')
| ~ l3_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_10,c_1379]) ).
tff(c_1418,plain,
( m2_filter_2(k19_filter_2('#skF_1','#skF_2'),'#skF_1')
| v1_xboole_0('#skF_2')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_14,c_1398]) ).
tff(c_1419,plain,
m2_filter_2(k19_filter_2('#skF_1','#skF_2'),'#skF_1'),
inference(negUnitSimplification,[status(thm)],[c_18,c_12,c_1418]) ).
tff(c_76,plain,
! [B_46,A_44] :
( ~ v1_xboole_0(B_46)
| ~ m2_filter_2(B_46,A_44)
| ~ l3_lattices(A_44)
| ~ v10_lattices(A_44)
| v3_struct_0(A_44) ),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_1437,plain,
( ~ v1_xboole_0(k19_filter_2('#skF_1','#skF_2'))
| ~ l3_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_1419,c_76]) ).
tff(c_1440,plain,
( ~ v1_xboole_0(k19_filter_2('#skF_1','#skF_2'))
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_14,c_1437]) ).
tff(c_1441,plain,
~ v1_xboole_0(k19_filter_2('#skF_1','#skF_2')),
inference(negUnitSimplification,[status(thm)],[c_18,c_1440]) ).
tff(c_74,plain,
! [B_46,A_44] :
( m2_lattice4(B_46,A_44)
| ~ m2_filter_2(B_46,A_44)
| ~ l3_lattices(A_44)
| ~ v10_lattices(A_44)
| v3_struct_0(A_44) ),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_78,plain,
! [B_49,A_47] :
( m1_subset_1(B_49,k1_zfmisc_1(u1_struct_0(A_47)))
| ~ m2_lattice4(B_49,A_47)
| ~ l3_lattices(A_47)
| ~ v10_lattices(A_47)
| v3_struct_0(A_47) ),
inference(cnfTransformation,[status(thm)],[f_197]) ).
tff(c_2245,plain,
! [B_249,A_250,C_251] :
( r1_tarski(B_249,'#skF_5'(A_250,B_249,C_251))
| ( k19_filter_2(A_250,B_249) = C_251 )
| ~ r1_tarski(B_249,C_251)
| ~ m2_filter_2(C_251,A_250)
| ~ m1_subset_1(B_249,k1_zfmisc_1(u1_struct_0(A_250)))
| v1_xboole_0(B_249)
| ~ l3_lattices(A_250)
| ~ v10_lattices(A_250)
| v3_struct_0(A_250) ),
inference(cnfTransformation,[status(thm)],[f_141]) ).
tff(c_5307,plain,
! [B_347,A_348,C_349] :
( r1_tarski(B_347,'#skF_5'(A_348,B_347,C_349))
| ( k19_filter_2(A_348,B_347) = C_349 )
| ~ r1_tarski(B_347,C_349)
| ~ m2_filter_2(C_349,A_348)
| v1_xboole_0(B_347)
| ~ m2_lattice4(B_347,A_348)
| ~ l3_lattices(A_348)
| ~ v10_lattices(A_348)
| v3_struct_0(A_348) ),
inference(resolution,[status(thm)],[c_78,c_2245]) ).
tff(c_46,plain,
! [C_35,A_17,B_29] :
( ~ r1_tarski(C_35,'#skF_5'(A_17,B_29,C_35))
| ( k19_filter_2(A_17,B_29) = C_35 )
| ~ r1_tarski(B_29,C_35)
| ~ m2_filter_2(C_35,A_17)
| ~ m1_subset_1(B_29,k1_zfmisc_1(u1_struct_0(A_17)))
| v1_xboole_0(B_29)
| ~ l3_lattices(A_17)
| ~ v10_lattices(A_17)
| v3_struct_0(A_17) ),
inference(cnfTransformation,[status(thm)],[f_141]) ).
tff(c_5342,plain,
! [C_349,A_348] :
( ~ m1_subset_1(C_349,k1_zfmisc_1(u1_struct_0(A_348)))
| ( k19_filter_2(A_348,C_349) = C_349 )
| ~ r1_tarski(C_349,C_349)
| ~ m2_filter_2(C_349,A_348)
| v1_xboole_0(C_349)
| ~ m2_lattice4(C_349,A_348)
| ~ l3_lattices(A_348)
| ~ v10_lattices(A_348)
| v3_struct_0(A_348) ),
inference(resolution,[status(thm)],[c_5307,c_46]) ).
tff(c_15843,plain,
! [C_552,A_553] :
( ~ m1_subset_1(C_552,k1_zfmisc_1(u1_struct_0(A_553)))
| ( k19_filter_2(A_553,C_552) = C_552 )
| ~ m2_filter_2(C_552,A_553)
| v1_xboole_0(C_552)
| ~ m2_lattice4(C_552,A_553)
| ~ l3_lattices(A_553)
| ~ v10_lattices(A_553)
| v3_struct_0(A_553) ),
inference(demodulation,[status(thm),theory(equality)],[c_126,c_5342]) ).
tff(c_39206,plain,
! [A_838,B_839] :
( ( k19_filter_2(A_838,B_839) = B_839 )
| ~ m2_filter_2(B_839,A_838)
| v1_xboole_0(B_839)
| ~ m2_lattice4(B_839,A_838)
| ~ l3_lattices(A_838)
| ~ v10_lattices(A_838)
| v3_struct_0(A_838) ),
inference(resolution,[status(thm)],[c_78,c_15843]) ).
tff(c_39587,plain,
! [A_843,B_844] :
( ( k19_filter_2(A_843,B_844) = B_844 )
| v1_xboole_0(B_844)
| ~ m2_filter_2(B_844,A_843)
| ~ l3_lattices(A_843)
| ~ v10_lattices(A_843)
| v3_struct_0(A_843) ),
inference(resolution,[status(thm)],[c_74,c_39206]) ).
tff(c_39680,plain,
( ( k19_filter_2('#skF_1',k19_filter_2('#skF_1','#skF_2')) = k19_filter_2('#skF_1','#skF_2') )
| v1_xboole_0(k19_filter_2('#skF_1','#skF_2'))
| ~ l3_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_1419,c_39587]) ).
tff(c_39782,plain,
( ( k19_filter_2('#skF_1',k19_filter_2('#skF_1','#skF_2')) = k19_filter_2('#skF_1','#skF_2') )
| v1_xboole_0(k19_filter_2('#skF_1','#skF_2'))
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_14,c_39680]) ).
tff(c_39783,plain,
k19_filter_2('#skF_1',k19_filter_2('#skF_1','#skF_2')) = k19_filter_2('#skF_1','#skF_2'),
inference(negUnitSimplification,[status(thm)],[c_18,c_1441,c_39782]) ).
tff(c_20,plain,
( ~ r1_tarski(k19_filter_2('#skF_1','#skF_3'),k19_filter_2('#skF_1','#skF_4'))
| ~ r1_tarski(k19_filter_2('#skF_1',k19_filter_2('#skF_1','#skF_2')),k19_filter_2('#skF_1','#skF_2')) ),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_286,plain,
~ r1_tarski(k19_filter_2('#skF_1',k19_filter_2('#skF_1','#skF_2')),k19_filter_2('#skF_1','#skF_2')),
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_39794,plain,
~ r1_tarski(k19_filter_2('#skF_1','#skF_2'),k19_filter_2('#skF_1','#skF_2')),
inference(demodulation,[status(thm),theory(equality)],[c_39783,c_286]) ).
tff(c_39797,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_126,c_39794]) ).
tff(c_39799,plain,
r1_tarski(k19_filter_2('#skF_1',k19_filter_2('#skF_1','#skF_2')),k19_filter_2('#skF_1','#skF_2')),
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_22,plain,
( r1_tarski('#skF_3','#skF_4')
| ~ r1_tarski(k19_filter_2('#skF_1',k19_filter_2('#skF_1','#skF_2')),k19_filter_2('#skF_1','#skF_2')) ),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_275,plain,
~ r1_tarski(k19_filter_2('#skF_1',k19_filter_2('#skF_1','#skF_2')),k19_filter_2('#skF_1','#skF_2')),
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_39863,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_39799,c_275]) ).
tff(c_39864,plain,
r1_tarski('#skF_3','#skF_4'),
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_4,plain,
~ v1_xboole_0('#skF_4'),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_2,plain,
m1_subset_1('#skF_4',k1_zfmisc_1(u1_struct_0('#skF_1'))),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_41329,plain,
! [A_984,B_985] :
( m2_filter_2(k19_filter_2(A_984,B_985),A_984)
| ~ m1_subset_1(B_985,k1_zfmisc_1(u1_struct_0(A_984)))
| v1_xboole_0(B_985)
| ~ l3_lattices(A_984)
| ~ v10_lattices(A_984)
| v3_struct_0(A_984) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_41346,plain,
( m2_filter_2(k19_filter_2('#skF_1','#skF_4'),'#skF_1')
| v1_xboole_0('#skF_4')
| ~ l3_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_2,c_41329]) ).
tff(c_41364,plain,
( m2_filter_2(k19_filter_2('#skF_1','#skF_4'),'#skF_1')
| v1_xboole_0('#skF_4')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_14,c_41346]) ).
tff(c_41365,plain,
m2_filter_2(k19_filter_2('#skF_1','#skF_4'),'#skF_1'),
inference(negUnitSimplification,[status(thm)],[c_18,c_4,c_41364]) ).
tff(c_41434,plain,
! [B_988,A_989] :
( r1_tarski(B_988,k19_filter_2(A_989,B_988))
| ~ m2_filter_2(k19_filter_2(A_989,B_988),A_989)
| ~ m1_subset_1(B_988,k1_zfmisc_1(u1_struct_0(A_989)))
| v1_xboole_0(B_988)
| ~ l3_lattices(A_989)
| ~ v10_lattices(A_989)
| v3_struct_0(A_989) ),
inference(cnfTransformation,[status(thm)],[f_141]) ).
tff(c_41438,plain,
( r1_tarski('#skF_4',k19_filter_2('#skF_1','#skF_4'))
| ~ m1_subset_1('#skF_4',k1_zfmisc_1(u1_struct_0('#skF_1')))
| v1_xboole_0('#skF_4')
| ~ l3_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_41365,c_41434]) ).
tff(c_41447,plain,
( r1_tarski('#skF_4',k19_filter_2('#skF_1','#skF_4'))
| v1_xboole_0('#skF_4')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_14,c_2,c_41438]) ).
tff(c_41448,plain,
r1_tarski('#skF_4',k19_filter_2('#skF_1','#skF_4')),
inference(negUnitSimplification,[status(thm)],[c_18,c_4,c_41447]) ).
tff(c_130,plain,
! [A_70,C_72,B_71] :
( r1_tarski(A_70,C_72)
| ~ r1_tarski(B_71,C_72)
| ~ r1_tarski(A_70,B_71) ),
inference(cnfTransformation,[status(thm)],[f_300]) ).
tff(c_41474,plain,
! [A_70] :
( r1_tarski(A_70,k19_filter_2('#skF_1','#skF_4'))
| ~ r1_tarski(A_70,'#skF_4') ),
inference(resolution,[status(thm)],[c_41448,c_130]) ).
tff(c_8,plain,
~ v1_xboole_0('#skF_3'),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_6,plain,
m1_subset_1('#skF_3',k1_zfmisc_1(u1_struct_0('#skF_1'))),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_41344,plain,
( m2_filter_2(k19_filter_2('#skF_1','#skF_3'),'#skF_1')
| v1_xboole_0('#skF_3')
| ~ l3_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_6,c_41329]) ).
tff(c_41360,plain,
( m2_filter_2(k19_filter_2('#skF_1','#skF_3'),'#skF_1')
| v1_xboole_0('#skF_3')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_14,c_41344]) ).
tff(c_41361,plain,
m2_filter_2(k19_filter_2('#skF_1','#skF_3'),'#skF_1'),
inference(negUnitSimplification,[status(thm)],[c_18,c_8,c_41360]) ).
tff(c_41637,plain,
! [A_993,B_994,D_995] :
( r1_tarski(k19_filter_2(A_993,B_994),D_995)
| ~ r1_tarski(B_994,D_995)
| ~ m2_filter_2(D_995,A_993)
| ~ m2_filter_2(k19_filter_2(A_993,B_994),A_993)
| ~ m1_subset_1(B_994,k1_zfmisc_1(u1_struct_0(A_993)))
| v1_xboole_0(B_994)
| ~ l3_lattices(A_993)
| ~ v10_lattices(A_993)
| v3_struct_0(A_993) ),
inference(cnfTransformation,[status(thm)],[f_141]) ).
tff(c_41643,plain,
! [D_995] :
( r1_tarski(k19_filter_2('#skF_1','#skF_3'),D_995)
| ~ r1_tarski('#skF_3',D_995)
| ~ m2_filter_2(D_995,'#skF_1')
| ~ m1_subset_1('#skF_3',k1_zfmisc_1(u1_struct_0('#skF_1')))
| v1_xboole_0('#skF_3')
| ~ l3_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_41361,c_41637]) ).
tff(c_41654,plain,
! [D_995] :
( r1_tarski(k19_filter_2('#skF_1','#skF_3'),D_995)
| ~ r1_tarski('#skF_3',D_995)
| ~ m2_filter_2(D_995,'#skF_1')
| v1_xboole_0('#skF_3')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_14,c_6,c_41643]) ).
tff(c_42394,plain,
! [D_1013] :
( r1_tarski(k19_filter_2('#skF_1','#skF_3'),D_1013)
| ~ r1_tarski('#skF_3',D_1013)
| ~ m2_filter_2(D_1013,'#skF_1') ),
inference(negUnitSimplification,[status(thm)],[c_18,c_8,c_41654]) ).
tff(c_39865,plain,
r1_tarski(k19_filter_2('#skF_1',k19_filter_2('#skF_1','#skF_2')),k19_filter_2('#skF_1','#skF_2')),
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_39875,plain,
~ r1_tarski(k19_filter_2('#skF_1',k19_filter_2('#skF_1','#skF_2')),k19_filter_2('#skF_1','#skF_2')),
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_39962,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_39865,c_39875]) ).
tff(c_39963,plain,
~ r1_tarski(k19_filter_2('#skF_1','#skF_3'),k19_filter_2('#skF_1','#skF_4')),
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_42451,plain,
( ~ r1_tarski('#skF_3',k19_filter_2('#skF_1','#skF_4'))
| ~ m2_filter_2(k19_filter_2('#skF_1','#skF_4'),'#skF_1') ),
inference(resolution,[status(thm)],[c_42394,c_39963]) ).
tff(c_42486,plain,
~ r1_tarski('#skF_3',k19_filter_2('#skF_1','#skF_4')),
inference(demodulation,[status(thm),theory(equality)],[c_41365,c_42451]) ).
tff(c_42489,plain,
~ r1_tarski('#skF_3','#skF_4'),
inference(resolution,[status(thm)],[c_41474,c_42486]) ).
tff(c_42493,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_39864,c_42489]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.15 % Problem : LAT310+1 : TPTP v8.1.2. Released v3.4.0.
% 0.08/0.16 % 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
% 0.14/0.37 % Computer : n023.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Thu Aug 3 12:45:37 EDT 2023
% 0.14/0.38 % CPUTime :
% 22.56/9.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.56/9.41
% 22.56/9.41 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 22.56/9.44
% 22.56/9.44 Inference rules
% 22.56/9.44 ----------------------
% 22.56/9.44 #Ref : 0
% 22.56/9.44 #Sup : 10294
% 22.56/9.44 #Fact : 0
% 22.56/9.44 #Define : 0
% 22.56/9.44 #Split : 120
% 22.56/9.44 #Chain : 0
% 22.56/9.44 #Close : 0
% 22.56/9.44
% 22.56/9.44 Ordering : KBO
% 22.56/9.44
% 22.56/9.44 Simplification rules
% 22.56/9.44 ----------------------
% 22.56/9.44 #Subsume : 4526
% 22.56/9.44 #Demod : 2952
% 22.56/9.44 #Tautology : 1038
% 22.56/9.44 #SimpNegUnit : 1499
% 22.56/9.44 #BackRed : 20
% 22.56/9.44
% 22.56/9.44 #Partial instantiations: 0
% 22.56/9.44 #Strategies tried : 1
% 22.56/9.44
% 22.56/9.44 Timing (in seconds)
% 22.56/9.44 ----------------------
% 22.56/9.45 Preprocessing : 0.90
% 22.56/9.45 Parsing : 0.51
% 22.56/9.45 CNF conversion : 0.08
% 22.56/9.45 Main loop : 7.44
% 22.56/9.45 Inferencing : 1.62
% 22.56/9.45 Reduction : 2.65
% 22.56/9.45 Demodulation : 1.69
% 22.56/9.45 BG Simplification : 0.11
% 22.56/9.45 Subsumption : 2.57
% 22.56/9.45 Abstraction : 0.15
% 22.56/9.45 MUC search : 0.00
% 22.56/9.45 Cooper : 0.00
% 22.56/9.45 Total : 8.40
% 22.56/9.45 Index Insertion : 0.00
% 22.56/9.45 Index Deletion : 0.00
% 22.56/9.45 Index Matching : 0.00
% 22.56/9.45 BG Taut test : 0.00
%------------------------------------------------------------------------------