TSTP Solution File: LAT313+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LAT313+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 : n027.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 10:46:47 EDT 2023
% Result : Theorem 9.10s 3.26s
% Output : CNFRefutation 9.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 57
% Syntax : Number of formulae : 142 ( 42 unt; 43 typ; 0 def)
% Number of atoms : 256 ( 23 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 278 ( 121 ~; 111 |; 25 &)
% ( 2 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 41 ( 33 >; 8 *; 0 +; 0 <<)
% Number of predicates : 23 ( 21 usr; 1 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 10 con; 0-2 aty)
% Number of variables : 66 (; 66 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ r1_filter_2 > 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 > v14_lattices > v10_lattices > l3_lattices > l2_lattices > l1_struct_0 > l1_lattices > k19_filter_2 > #nlpp > u1_struct_0 > k6_lattices > k1_zfmisc_1 > k17_filter_2 > k1_xboole_0 > #skF_9 > #skF_7 > #skF_16 > #skF_15 > #skF_8 > #skF_14 > #skF_5 > #skF_10 > #skF_6 > #skF_2 > #skF_3 > #skF_1 > #skF_13 > #skF_4 > #skF_11 > #skF_12
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(l3_lattices,type,
l3_lattices: $i > $o ).
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('#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(r2_hidden,type,
r2_hidden: ( $i * $i ) > $o ).
tff('#skF_15',type,
'#skF_15': $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_8',type,
'#skF_8': $i > $i ).
tff(r1_tarski,type,
r1_tarski: ( $i * $i ) > $o ).
tff(k19_filter_2,type,
k19_filter_2: ( $i * $i ) > $i ).
tff(k17_filter_2,type,
k17_filter_2: $i > $i ).
tff('#skF_14',type,
'#skF_14': $i ).
tff('#skF_5',type,
'#skF_5': $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_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(k1_zfmisc_1,type,
k1_zfmisc_1: $i > $i ).
tff(l1_struct_0,type,
l1_struct_0: $i > $o ).
tff('#skF_13',type,
'#skF_13': $i > $i ).
tff(v14_lattices,type,
v14_lattices: $i > $o ).
tff('#skF_4',type,
'#skF_4': $i ).
tff('#skF_11',type,
'#skF_11': $i > $i ).
tff(r1_filter_2,type,
r1_filter_2: ( $i * $i * $i ) > $o ).
tff(v8_lattices,type,
v8_lattices: $i > $o ).
tff(u1_struct_0,type,
u1_struct_0: $i > $i ).
tff(v1_xboole_0,type,
v1_xboole_0: $i > $o ).
tff('#skF_12',type,
'#skF_12': $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_295,axiom,
! [A,B] : r1_tarski(A,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
tff(f_332,axiom,
! [A,B] :
( m1_subset_1(A,k1_zfmisc_1(B))
<=> r1_tarski(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
tff(f_48,negated_conjecture,
~ ! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ! [B] :
( m2_filter_2(B,A)
=> ( ( v14_lattices(A)
& r2_hidden(k6_lattices(A),B) )
=> ( r1_filter_2(u1_struct_0(A),B,k17_filter_2(A))
& ( B = u1_struct_0(A) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t43_filter_2) ).
tff(f_170,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_110,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ( k17_filter_2(A) = u1_struct_0(A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_filter_2) ).
tff(f_182,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_155,axiom,
! [A] :
( l3_lattices(A)
=> ( l1_lattices(A)
& l2_lattices(A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
tff(f_149,axiom,
! [A] :
( l2_lattices(A)
=> l1_struct_0(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_lattices) ).
tff(f_221,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_375,axiom,
! [A,B] :
~ ( r2_hidden(A,B)
& v1_xboole_0(B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
tff(f_353,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))) )
=> ( ( v14_lattices(A)
& r2_hidden(k6_lattices(A),B) )
=> ( r1_filter_2(u1_struct_0(A),k19_filter_2(A,B),k17_filter_2(A))
& ( k19_filter_2(A,B) = u1_struct_0(A) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_filter_2) ).
tff(f_328,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ! [B] :
( m2_filter_2(B,A)
=> r1_filter_2(u1_struct_0(A),k19_filter_2(A,B),B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t38_filter_2) ).
tff(f_306,axiom,
! [A,B,C] :
( ( ~ v1_xboole_0(A)
& m1_subset_1(B,k1_zfmisc_1(A))
& m1_subset_1(C,k1_zfmisc_1(A)) )
=> ( r1_filter_2(A,B,C)
=> r1_filter_2(A,C,B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_r1_filter_2) ).
tff(f_284,axiom,
! [A,B,C] :
( ( ~ v1_xboole_0(A)
& m1_subset_1(B,k1_zfmisc_1(A))
& m1_subset_1(C,k1_zfmisc_1(A)) )
=> ( r1_filter_2(A,B,C)
<=> ( B = C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_r1_filter_2) ).
tff(c_120,plain,
! [A_43] : r1_tarski(A_43,A_43),
inference(cnfTransformation,[status(thm)],[f_295]) ).
tff(c_132,plain,
! [A_55,B_56] :
( m1_subset_1(A_55,k1_zfmisc_1(B_56))
| ~ r1_tarski(A_55,B_56) ),
inference(cnfTransformation,[status(thm)],[f_332]) ).
tff(c_14,plain,
~ v3_struct_0('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_12,plain,
v10_lattices('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_10,plain,
l3_lattices('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_8,plain,
m2_filter_2('#skF_2','#skF_1'),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_62,plain,
! [B_17,A_15] :
( m2_lattice4(B_17,A_15)
| ~ m2_filter_2(B_17,A_15)
| ~ l3_lattices(A_15)
| ~ v10_lattices(A_15)
| v3_struct_0(A_15) ),
inference(cnfTransformation,[status(thm)],[f_170]) ).
tff(c_4056,plain,
! [A_375] :
( ( u1_struct_0(A_375) = k17_filter_2(A_375) )
| ~ l3_lattices(A_375)
| ~ v10_lattices(A_375)
| v3_struct_0(A_375) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_4059,plain,
( ( u1_struct_0('#skF_1') = k17_filter_2('#skF_1') )
| ~ l3_lattices('#skF_1')
| ~ v10_lattices('#skF_1') ),
inference(resolution,[status(thm)],[c_4056,c_14]) ).
tff(c_4065,plain,
u1_struct_0('#skF_1') = k17_filter_2('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_10,c_4059]) ).
tff(c_4397,plain,
! [B_437,A_438] :
( m1_subset_1(B_437,k1_zfmisc_1(u1_struct_0(A_438)))
| ~ m2_lattice4(B_437,A_438)
| ~ l3_lattices(A_438)
| ~ v10_lattices(A_438)
| v3_struct_0(A_438) ),
inference(cnfTransformation,[status(thm)],[f_182]) ).
tff(c_4415,plain,
! [B_437] :
( m1_subset_1(B_437,k1_zfmisc_1(k17_filter_2('#skF_1')))
| ~ m2_lattice4(B_437,'#skF_1')
| ~ l3_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_4065,c_4397]) ).
tff(c_4427,plain,
! [B_437] :
( m1_subset_1(B_437,k1_zfmisc_1(k17_filter_2('#skF_1')))
| ~ m2_lattice4(B_437,'#skF_1')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_10,c_4415]) ).
tff(c_4428,plain,
! [B_437] :
( m1_subset_1(B_437,k1_zfmisc_1(k17_filter_2('#skF_1')))
| ~ m2_lattice4(B_437,'#skF_1') ),
inference(negUnitSimplification,[status(thm)],[c_14,c_4427]) ).
tff(c_3939,plain,
! [A_338] :
( l2_lattices(A_338)
| ~ l3_lattices(A_338) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_3946,plain,
l2_lattices('#skF_1'),
inference(resolution,[status(thm)],[c_10,c_3939]) ).
tff(c_54,plain,
! [A_13] :
( l1_struct_0(A_13)
| ~ l2_lattices(A_13) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_3951,plain,
l1_struct_0('#skF_1'),
inference(resolution,[status(thm)],[c_3946,c_54]) ).
tff(c_84,plain,
! [A_27] :
( ~ v1_xboole_0(u1_struct_0(A_27))
| ~ l1_struct_0(A_27)
| v3_struct_0(A_27) ),
inference(cnfTransformation,[status(thm)],[f_221]) ).
tff(c_4075,plain,
( ~ v1_xboole_0(k17_filter_2('#skF_1'))
| ~ l1_struct_0('#skF_1')
| v3_struct_0('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_4065,c_84]) ).
tff(c_4082,plain,
( ~ v1_xboole_0(k17_filter_2('#skF_1'))
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_3951,c_4075]) ).
tff(c_4083,plain,
~ v1_xboole_0(k17_filter_2('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_14,c_4082]) ).
tff(c_4,plain,
r2_hidden(k6_lattices('#skF_1'),'#skF_2'),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_240,plain,
! [B_85,A_86] :
( ~ v1_xboole_0(B_85)
| ~ r2_hidden(A_86,B_85) ),
inference(cnfTransformation,[status(thm)],[f_375]) ).
tff(c_244,plain,
~ v1_xboole_0('#skF_2'),
inference(resolution,[status(thm)],[c_4,c_240]) ).
tff(c_410,plain,
! [A_140] :
( ( u1_struct_0(A_140) = k17_filter_2(A_140) )
| ~ l3_lattices(A_140)
| ~ v10_lattices(A_140)
| v3_struct_0(A_140) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_413,plain,
( ( u1_struct_0('#skF_1') = k17_filter_2('#skF_1') )
| ~ l3_lattices('#skF_1')
| ~ v10_lattices('#skF_1') ),
inference(resolution,[status(thm)],[c_410,c_14]) ).
tff(c_419,plain,
u1_struct_0('#skF_1') = k17_filter_2('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_10,c_413]) ).
tff(c_691,plain,
! [B_179,A_180] :
( m1_subset_1(B_179,k1_zfmisc_1(u1_struct_0(A_180)))
| ~ m2_lattice4(B_179,A_180)
| ~ l3_lattices(A_180)
| ~ v10_lattices(A_180)
| v3_struct_0(A_180) ),
inference(cnfTransformation,[status(thm)],[f_182]) ).
tff(c_709,plain,
! [B_179] :
( m1_subset_1(B_179,k1_zfmisc_1(k17_filter_2('#skF_1')))
| ~ m2_lattice4(B_179,'#skF_1')
| ~ l3_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_419,c_691]) ).
tff(c_721,plain,
! [B_179] :
( m1_subset_1(B_179,k1_zfmisc_1(k17_filter_2('#skF_1')))
| ~ m2_lattice4(B_179,'#skF_1')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_10,c_709]) ).
tff(c_722,plain,
! [B_179] :
( m1_subset_1(B_179,k1_zfmisc_1(k17_filter_2('#skF_1')))
| ~ m2_lattice4(B_179,'#skF_1') ),
inference(negUnitSimplification,[status(thm)],[c_14,c_721]) ).
tff(c_6,plain,
v14_lattices('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_3041,plain,
! [A_295,B_296] :
( ( k19_filter_2(A_295,B_296) = u1_struct_0(A_295) )
| ~ r2_hidden(k6_lattices(A_295),B_296)
| ~ v14_lattices(A_295)
| ~ m1_subset_1(B_296,k1_zfmisc_1(u1_struct_0(A_295)))
| v1_xboole_0(B_296)
| ~ l3_lattices(A_295)
| ~ v10_lattices(A_295)
| v3_struct_0(A_295) ),
inference(cnfTransformation,[status(thm)],[f_353]) ).
tff(c_3058,plain,
! [B_296] :
( ( k19_filter_2('#skF_1',B_296) = u1_struct_0('#skF_1') )
| ~ r2_hidden(k6_lattices('#skF_1'),B_296)
| ~ v14_lattices('#skF_1')
| ~ m1_subset_1(B_296,k1_zfmisc_1(k17_filter_2('#skF_1')))
| v1_xboole_0(B_296)
| ~ l3_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_419,c_3041]) ).
tff(c_3086,plain,
! [B_296] :
( ( k19_filter_2('#skF_1',B_296) = k17_filter_2('#skF_1') )
| ~ r2_hidden(k6_lattices('#skF_1'),B_296)
| ~ m1_subset_1(B_296,k1_zfmisc_1(k17_filter_2('#skF_1')))
| v1_xboole_0(B_296)
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_10,c_6,c_419,c_3058]) ).
tff(c_3097,plain,
! [B_297] :
( ( k19_filter_2('#skF_1',B_297) = k17_filter_2('#skF_1') )
| ~ r2_hidden(k6_lattices('#skF_1'),B_297)
| ~ m1_subset_1(B_297,k1_zfmisc_1(k17_filter_2('#skF_1')))
| v1_xboole_0(B_297) ),
inference(negUnitSimplification,[status(thm)],[c_14,c_3086]) ).
tff(c_3660,plain,
! [B_329] :
( ( k19_filter_2('#skF_1',B_329) = k17_filter_2('#skF_1') )
| ~ r2_hidden(k6_lattices('#skF_1'),B_329)
| v1_xboole_0(B_329)
| ~ m2_lattice4(B_329,'#skF_1') ),
inference(resolution,[status(thm)],[c_722,c_3097]) ).
tff(c_3667,plain,
( ( k19_filter_2('#skF_1','#skF_2') = k17_filter_2('#skF_1') )
| v1_xboole_0('#skF_2')
| ~ m2_lattice4('#skF_2','#skF_1') ),
inference(resolution,[status(thm)],[c_4,c_3660]) ).
tff(c_3671,plain,
( ( k19_filter_2('#skF_1','#skF_2') = k17_filter_2('#skF_1') )
| ~ m2_lattice4('#skF_2','#skF_1') ),
inference(negUnitSimplification,[status(thm)],[c_244,c_3667]) ).
tff(c_3672,plain,
~ m2_lattice4('#skF_2','#skF_1'),
inference(splitLeft,[status(thm)],[c_3671]) ).
tff(c_3675,plain,
( ~ m2_filter_2('#skF_2','#skF_1')
| ~ l3_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_62,c_3672]) ).
tff(c_3678,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_10,c_8,c_3675]) ).
tff(c_3680,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14,c_3678]) ).
tff(c_3682,plain,
m2_lattice4('#skF_2','#skF_1'),
inference(splitRight,[status(thm)],[c_3671]) ).
tff(c_216,plain,
! [A_82] :
( l2_lattices(A_82)
| ~ l3_lattices(A_82) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_223,plain,
l2_lattices('#skF_1'),
inference(resolution,[status(thm)],[c_10,c_216]) ).
tff(c_228,plain,
l1_struct_0('#skF_1'),
inference(resolution,[status(thm)],[c_223,c_54]) ).
tff(c_428,plain,
( ~ v1_xboole_0(k17_filter_2('#skF_1'))
| ~ l1_struct_0('#skF_1')
| v3_struct_0('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_419,c_84]) ).
tff(c_435,plain,
( ~ v1_xboole_0(k17_filter_2('#skF_1'))
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_228,c_428]) ).
tff(c_436,plain,
~ v1_xboole_0(k17_filter_2('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_14,c_435]) ).
tff(c_2,plain,
( ( u1_struct_0('#skF_1') != '#skF_2' )
| ~ r1_filter_2(u1_struct_0('#skF_1'),'#skF_2',k17_filter_2('#skF_1')) ),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_198,plain,
~ r1_filter_2(u1_struct_0('#skF_1'),'#skF_2',k17_filter_2('#skF_1')),
inference(splitLeft,[status(thm)],[c_2]) ).
tff(c_421,plain,
~ r1_filter_2(k17_filter_2('#skF_1'),'#skF_2',k17_filter_2('#skF_1')),
inference(demodulation,[status(thm),theory(equality)],[c_419,c_198]) ).
tff(c_3681,plain,
k19_filter_2('#skF_1','#skF_2') = k17_filter_2('#skF_1'),
inference(splitRight,[status(thm)],[c_3671]) ).
tff(c_802,plain,
! [A_187,B_188] :
( r1_filter_2(u1_struct_0(A_187),k19_filter_2(A_187,B_188),B_188)
| ~ m2_filter_2(B_188,A_187)
| ~ l3_lattices(A_187)
| ~ v10_lattices(A_187)
| v3_struct_0(A_187) ),
inference(cnfTransformation,[status(thm)],[f_328]) ).
tff(c_805,plain,
! [B_188] :
( r1_filter_2(k17_filter_2('#skF_1'),k19_filter_2('#skF_1',B_188),B_188)
| ~ m2_filter_2(B_188,'#skF_1')
| ~ l3_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_419,c_802]) ).
tff(c_807,plain,
! [B_188] :
( r1_filter_2(k17_filter_2('#skF_1'),k19_filter_2('#skF_1',B_188),B_188)
| ~ m2_filter_2(B_188,'#skF_1')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_10,c_805]) ).
tff(c_808,plain,
! [B_188] :
( r1_filter_2(k17_filter_2('#skF_1'),k19_filter_2('#skF_1',B_188),B_188)
| ~ m2_filter_2(B_188,'#skF_1') ),
inference(negUnitSimplification,[status(thm)],[c_14,c_807]) ).
tff(c_3713,plain,
( r1_filter_2(k17_filter_2('#skF_1'),k17_filter_2('#skF_1'),'#skF_2')
| ~ m2_filter_2('#skF_2','#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_3681,c_808]) ).
tff(c_3735,plain,
r1_filter_2(k17_filter_2('#skF_1'),k17_filter_2('#skF_1'),'#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_3713]) ).
tff(c_122,plain,
! [A_45,C_47,B_46] :
( r1_filter_2(A_45,C_47,B_46)
| ~ r1_filter_2(A_45,B_46,C_47)
| ~ m1_subset_1(C_47,k1_zfmisc_1(A_45))
| ~ m1_subset_1(B_46,k1_zfmisc_1(A_45))
| v1_xboole_0(A_45) ),
inference(cnfTransformation,[status(thm)],[f_306]) ).
tff(c_3749,plain,
( r1_filter_2(k17_filter_2('#skF_1'),'#skF_2',k17_filter_2('#skF_1'))
| ~ m1_subset_1('#skF_2',k1_zfmisc_1(k17_filter_2('#skF_1')))
| ~ m1_subset_1(k17_filter_2('#skF_1'),k1_zfmisc_1(k17_filter_2('#skF_1')))
| v1_xboole_0(k17_filter_2('#skF_1')) ),
inference(resolution,[status(thm)],[c_3735,c_122]) ).
tff(c_3754,plain,
( ~ m1_subset_1('#skF_2',k1_zfmisc_1(k17_filter_2('#skF_1')))
| ~ m1_subset_1(k17_filter_2('#skF_1'),k1_zfmisc_1(k17_filter_2('#skF_1'))) ),
inference(negUnitSimplification,[status(thm)],[c_436,c_421,c_3749]) ).
tff(c_3767,plain,
~ m1_subset_1(k17_filter_2('#skF_1'),k1_zfmisc_1(k17_filter_2('#skF_1'))),
inference(splitLeft,[status(thm)],[c_3754]) ).
tff(c_3902,plain,
~ r1_tarski(k17_filter_2('#skF_1'),k17_filter_2('#skF_1')),
inference(resolution,[status(thm)],[c_132,c_3767]) ).
tff(c_3907,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_120,c_3902]) ).
tff(c_3908,plain,
~ m1_subset_1('#skF_2',k1_zfmisc_1(k17_filter_2('#skF_1'))),
inference(splitRight,[status(thm)],[c_3754]) ).
tff(c_3912,plain,
~ m2_lattice4('#skF_2','#skF_1'),
inference(resolution,[status(thm)],[c_722,c_3908]) ).
tff(c_3919,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3682,c_3912]) ).
tff(c_3920,plain,
u1_struct_0('#skF_1') != '#skF_2',
inference(splitRight,[status(thm)],[c_2]) ).
tff(c_4068,plain,
k17_filter_2('#skF_1') != '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_4065,c_3920]) ).
tff(c_3921,plain,
r1_filter_2(u1_struct_0('#skF_1'),'#skF_2',k17_filter_2('#skF_1')),
inference(splitRight,[status(thm)],[c_2]) ).
tff(c_4067,plain,
r1_filter_2(k17_filter_2('#skF_1'),'#skF_2',k17_filter_2('#skF_1')),
inference(demodulation,[status(thm),theory(equality)],[c_4065,c_3921]) ).
tff(c_4546,plain,
! [C_447,B_448,A_449] :
( ( C_447 = B_448 )
| ~ r1_filter_2(A_449,B_448,C_447)
| ~ m1_subset_1(C_447,k1_zfmisc_1(A_449))
| ~ m1_subset_1(B_448,k1_zfmisc_1(A_449))
| v1_xboole_0(A_449) ),
inference(cnfTransformation,[status(thm)],[f_284]) ).
tff(c_4562,plain,
( ( k17_filter_2('#skF_1') = '#skF_2' )
| ~ m1_subset_1(k17_filter_2('#skF_1'),k1_zfmisc_1(k17_filter_2('#skF_1')))
| ~ m1_subset_1('#skF_2',k1_zfmisc_1(k17_filter_2('#skF_1')))
| v1_xboole_0(k17_filter_2('#skF_1')) ),
inference(resolution,[status(thm)],[c_4067,c_4546]) ).
tff(c_4588,plain,
( ~ m1_subset_1(k17_filter_2('#skF_1'),k1_zfmisc_1(k17_filter_2('#skF_1')))
| ~ m1_subset_1('#skF_2',k1_zfmisc_1(k17_filter_2('#skF_1'))) ),
inference(negUnitSimplification,[status(thm)],[c_4083,c_4068,c_4562]) ).
tff(c_4778,plain,
~ m1_subset_1('#skF_2',k1_zfmisc_1(k17_filter_2('#skF_1'))),
inference(splitLeft,[status(thm)],[c_4588]) ).
tff(c_4785,plain,
~ m2_lattice4('#skF_2','#skF_1'),
inference(resolution,[status(thm)],[c_4428,c_4778]) ).
tff(c_4789,plain,
( ~ m2_filter_2('#skF_2','#skF_1')
| ~ l3_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_62,c_4785]) ).
tff(c_4792,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_10,c_8,c_4789]) ).
tff(c_4794,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14,c_4792]) ).
tff(c_4795,plain,
~ m1_subset_1(k17_filter_2('#skF_1'),k1_zfmisc_1(k17_filter_2('#skF_1'))),
inference(splitRight,[status(thm)],[c_4588]) ).
tff(c_4879,plain,
~ r1_tarski(k17_filter_2('#skF_1'),k17_filter_2('#skF_1')),
inference(resolution,[status(thm)],[c_132,c_4795]) ).
tff(c_4884,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_120,c_4879]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT313+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/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
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 3 12:43:23 EDT 2023
% 0.13/0.35 % CPUTime :
% 9.10/3.26 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.10/3.27
% 9.10/3.27 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 9.10/3.31
% 9.10/3.31 Inference rules
% 9.10/3.31 ----------------------
% 9.10/3.31 #Ref : 0
% 9.10/3.31 #Sup : 994
% 9.10/3.31 #Fact : 0
% 9.10/3.31 #Define : 0
% 9.10/3.31 #Split : 37
% 9.10/3.31 #Chain : 0
% 9.10/3.31 #Close : 0
% 9.10/3.31
% 9.10/3.31 Ordering : KBO
% 9.10/3.31
% 9.10/3.31 Simplification rules
% 9.10/3.31 ----------------------
% 9.10/3.31 #Subsume : 319
% 9.10/3.31 #Demod : 384
% 9.10/3.31 #Tautology : 193
% 9.10/3.31 #SimpNegUnit : 320
% 9.10/3.31 #BackRed : 23
% 9.10/3.31
% 9.10/3.31 #Partial instantiations: 0
% 9.10/3.31 #Strategies tried : 1
% 9.10/3.31
% 9.10/3.31 Timing (in seconds)
% 9.10/3.31 ----------------------
% 9.10/3.31 Preprocessing : 0.67
% 9.10/3.31 Parsing : 0.34
% 9.10/3.31 CNF conversion : 0.05
% 9.10/3.31 Main loop : 1.46
% 9.10/3.31 Inferencing : 0.55
% 9.10/3.31 Reduction : 0.46
% 9.10/3.31 Demodulation : 0.30
% 9.10/3.31 BG Simplification : 0.05
% 9.10/3.31 Subsumption : 0.28
% 9.10/3.31 Abstraction : 0.04
% 9.10/3.31 MUC search : 0.00
% 9.10/3.31 Cooper : 0.00
% 9.10/3.31 Total : 2.19
% 9.10/3.31 Index Insertion : 0.00
% 9.10/3.31 Index Deletion : 0.00
% 9.10/3.31 Index Matching : 0.00
% 9.10/3.31 BG Taut test : 0.00
%------------------------------------------------------------------------------