TSTP Solution File: LAT289+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LAT289+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 : n004.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 10:46:39 EDT 2023
% Result : Theorem 21.80s 8.85s
% Output : CNFRefutation 21.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 89
% Syntax : Number of formulae : 140 ( 25 unt; 79 typ; 0 def)
% Number of atoms : 201 ( 17 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 224 ( 84 ~; 94 |; 31 &)
% ( 2 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 92 ( 67 >; 25 *; 0 +; 0 <<)
% Number of predicates : 48 ( 46 usr; 1 prp; 0-3 aty)
% Number of functors : 33 ( 33 usr; 12 con; 0-4 aty)
% Number of variables : 41 (; 41 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ v1_partfun1 > v1_funct_2 > m2_relset_1 > m1_relset_1 > v1_filter_0 > r2_hidden > r1_tarski > m1_subset_1 > m1_filter_0 > v9_lattices > v8_lattices > v7_lattices > v6_lattices > v5_membered > v5_lattices > v4_ordinal2 > v4_membered > v4_lattices > v4_finsub_1 > v3_struct_0 > v3_realset2 > v3_membered > v3_finsub_1 > v2_membered > v1_xreal_0 > v1_xcmplx_0 > v1_xboole_0 > v1_relat_1 > v1_rat_1 > v1_membered > v1_int_1 > v1_funct_1 > v1_finsub_1 > v1_finset_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 > k8_funct_2 > k2_zfmisc_1 > k1_funct_1 > #nlpp > u1_struct_0 > k9_lopclset > k8_lopclset > k7_lopclset > k1_zfmisc_1 > a_1_1_lopclset > k1_xboole_0 > #skF_7 > #skF_11 > #skF_20 > #skF_22 > #skF_8 > #skF_13 > #skF_10 > #skF_16 > #skF_14 > #skF_12 > #skF_18 > #skF_5 > #skF_19 > #skF_6 > #skF_2 > #skF_3 > #skF_1 > #skF_21 > #skF_9 > #skF_23 > #skF_4 > #skF_17 > #skF_15
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(l3_lattices,type,
l3_lattices: $i > $o ).
tff('#skF_7',type,
'#skF_7': $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(v4_finsub_1,type,
v4_finsub_1: $i > $o ).
tff(k7_lopclset,type,
k7_lopclset: $i > $i ).
tff(r2_hidden,type,
r2_hidden: ( $i * $i ) > $o ).
tff('#skF_11',type,
'#skF_11': $i ).
tff(v1_filter_0,type,
v1_filter_0: ( $i * $i ) > $o ).
tff(k8_lopclset,type,
k8_lopclset: $i > $i ).
tff(v1_partfun1,type,
v1_partfun1: ( $i * $i * $i ) > $o ).
tff(v1_int_1,type,
v1_int_1: $i > $o ).
tff(k1_xboole_0,type,
k1_xboole_0: $i ).
tff('#skF_20',type,
'#skF_20': ( $i * $i ) > $i ).
tff('#skF_22',type,
'#skF_22': $i > $i ).
tff(k9_lopclset,type,
k9_lopclset: $i > $i ).
tff(l1_lattices,type,
l1_lattices: $i > $o ).
tff('#skF_8',type,
'#skF_8': $i > $i ).
tff('#skF_13',type,
'#skF_13': ( $i * $i ) > $i ).
tff(r1_tarski,type,
r1_tarski: ( $i * $i ) > $o ).
tff('#skF_10',type,
'#skF_10': $i ).
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(v4_ordinal2,type,
v4_ordinal2: $i > $o ).
tff('#skF_14',type,
'#skF_14': ( $i * $i ) > $i ).
tff('#skF_12',type,
'#skF_12': ( $i * $i ) > $i ).
tff('#skF_18',type,
'#skF_18': ( $i * $i ) > $i ).
tff('#skF_5',type,
'#skF_5': $i ).
tff('#skF_19',type,
'#skF_19': ( $i * $i ) > $i ).
tff(v1_funct_2,type,
v1_funct_2: ( $i * $i * $i ) > $o ).
tff(v4_lattices,type,
v4_lattices: $i > $o ).
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(v9_lattices,type,
v9_lattices: $i > $o ).
tff(v3_realset2,type,
v3_realset2: $i > $o ).
tff(v3_membered,type,
v3_membered: $i > $o ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(k8_funct_2,type,
k8_funct_2: ( $i * $i * $i * $i ) > $i ).
tff(v1_xreal_0,type,
v1_xreal_0: $i > $o ).
tff(v5_lattices,type,
v5_lattices: $i > $o ).
tff('#skF_21',type,
'#skF_21': $i ).
tff(v10_lattices,type,
v10_lattices: $i > $o ).
tff('#skF_9',type,
'#skF_9': $i ).
tff(v3_finsub_1,type,
v3_finsub_1: $i > $o ).
tff(v5_membered,type,
v5_membered: $i > $o ).
tff(k1_zfmisc_1,type,
k1_zfmisc_1: $i > $i ).
tff(l1_struct_0,type,
l1_struct_0: $i > $o ).
tff(k1_funct_1,type,
k1_funct_1: ( $i * $i ) > $i ).
tff('#skF_23',type,
'#skF_23': $i > $i ).
tff(v2_membered,type,
v2_membered: $i > $o ).
tff(v1_membered,type,
v1_membered: $i > $o ).
tff(v1_xcmplx_0,type,
v1_xcmplx_0: $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_17',type,
'#skF_17': $i > $i ).
tff(v8_lattices,type,
v8_lattices: $i > $o ).
tff(v1_finsub_1,type,
v1_finsub_1: $i > $o ).
tff(v1_rat_1,type,
v1_rat_1: $i > $o ).
tff(v4_membered,type,
v4_membered: $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(v1_finset_1,type,
v1_finset_1: $i > $o ).
tff('#skF_15',type,
'#skF_15': ( $i * $i ) > $i ).
tff(a_1_1_lopclset,type,
a_1_1_lopclset: $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_56,negated_conjecture,
~ ! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& v17_lattices(A)
& ~ v3_realset2(A)
& l3_lattices(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_filter_0(C,A)
=> ~ ( v1_filter_0(C,A)
& ~ r2_hidden(C,k8_funct_2(u1_struct_0(A),k1_zfmisc_1(k7_lopclset(A)),k9_lopclset(A),B))
& r2_hidden(B,C) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t27_lopclset) ).
tff(f_832,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& v17_lattices(A)
& ~ v3_realset2(A)
& l3_lattices(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_filter_0(C,A)
=> ( r2_hidden(C,k1_funct_1(k8_lopclset(A),B))
<=> ( v1_filter_0(C,A)
& r2_hidden(B,C) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_lopclset) ).
tff(f_627,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& v17_lattices(A)
& ~ v3_realset2(A)
& l3_lattices(A) )
=> ( k9_lopclset(A) = k8_lopclset(A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k9_lopclset) ).
tff(f_688,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& v17_lattices(A)
& ~ v3_realset2(A)
& l3_lattices(A) )
=> ( v1_funct_1(k9_lopclset(A))
& v1_funct_2(k9_lopclset(A),u1_struct_0(A),k1_zfmisc_1(k7_lopclset(A)))
& m2_relset_1(k9_lopclset(A),u1_struct_0(A),k1_zfmisc_1(k7_lopclset(A))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k9_lopclset) ).
tff(f_808,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& v17_lattices(A)
& ~ v3_realset2(A)
& l3_lattices(A) )
=> ( k7_lopclset(A) = a_1_1_lopclset(A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_lopclset) ).
tff(f_315,axiom,
! [A,B,C] :
( m2_relset_1(C,A,B)
<=> m1_relset_1(C,A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
tff(f_694,axiom,
! [A] :
( l3_lattices(A)
=> ( l1_lattices(A)
& l2_lattices(A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
tff(f_323,axiom,
! [A] :
( l2_lattices(A)
=> l1_struct_0(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_lattices) ).
tff(f_613,axiom,
! [A,B,C,D] :
( ( ~ v1_xboole_0(A)
& v1_funct_1(C)
& v1_funct_2(C,A,B)
& m1_relset_1(C,A,B)
& m1_subset_1(D,A) )
=> ( k8_funct_2(A,B,C,D) = k1_funct_1(C,D) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k8_funct_2) ).
tff(f_495,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(c_20,plain,
~ v3_struct_0('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_14,plain,
~ v3_realset2('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_18,plain,
v10_lattices('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_16,plain,
v17_lattices('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_12,plain,
l3_lattices('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_10,plain,
m1_subset_1('#skF_2',u1_struct_0('#skF_1')),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_8,plain,
m1_filter_0('#skF_3','#skF_1'),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_6,plain,
v1_filter_0('#skF_3','#skF_1'),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_2,plain,
r2_hidden('#skF_2','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_410,plain,
! [C_154,A_148,B_152] :
( r2_hidden(C_154,k1_funct_1(k8_lopclset(A_148),B_152))
| ~ r2_hidden(B_152,C_154)
| ~ v1_filter_0(C_154,A_148)
| ~ m1_filter_0(C_154,A_148)
| ~ m1_subset_1(B_152,u1_struct_0(A_148))
| ~ l3_lattices(A_148)
| v3_realset2(A_148)
| ~ v17_lattices(A_148)
| ~ v10_lattices(A_148)
| v3_struct_0(A_148) ),
inference(cnfTransformation,[status(thm)],[f_832]) ).
tff(c_27851,plain,
! [A_2415] :
( ( k9_lopclset(A_2415) = k8_lopclset(A_2415) )
| ~ l3_lattices(A_2415)
| v3_realset2(A_2415)
| ~ v17_lattices(A_2415)
| ~ v10_lattices(A_2415)
| v3_struct_0(A_2415) ),
inference(cnfTransformation,[status(thm)],[f_627]) ).
tff(c_27860,plain,
( ( k9_lopclset('#skF_1') = k8_lopclset('#skF_1') )
| ~ l3_lattices('#skF_1')
| v3_realset2('#skF_1')
| ~ v17_lattices('#skF_1')
| ~ v10_lattices('#skF_1') ),
inference(resolution,[status(thm)],[c_27851,c_20]) ).
tff(c_27868,plain,
( ( k9_lopclset('#skF_1') = k8_lopclset('#skF_1') )
| v3_realset2('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_16,c_12,c_27860]) ).
tff(c_27869,plain,
k9_lopclset('#skF_1') = k8_lopclset('#skF_1'),
inference(negUnitSimplification,[status(thm)],[c_14,c_27868]) ).
tff(c_348,plain,
! [A_129] :
( v1_funct_1(k9_lopclset(A_129))
| ~ l3_lattices(A_129)
| v3_realset2(A_129)
| ~ v17_lattices(A_129)
| ~ v10_lattices(A_129)
| v3_struct_0(A_129) ),
inference(cnfTransformation,[status(thm)],[f_688]) ).
tff(c_27883,plain,
( v1_funct_1(k8_lopclset('#skF_1'))
| ~ l3_lattices('#skF_1')
| v3_realset2('#skF_1')
| ~ v17_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_27869,c_348]) ).
tff(c_27887,plain,
( v1_funct_1(k8_lopclset('#skF_1'))
| v3_realset2('#skF_1')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_16,c_12,c_27883]) ).
tff(c_27888,plain,
v1_funct_1(k8_lopclset('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_20,c_14,c_27887]) ).
tff(c_27809,plain,
! [A_2414] :
( ( k7_lopclset(A_2414) = a_1_1_lopclset(A_2414) )
| ~ l3_lattices(A_2414)
| v3_realset2(A_2414)
| ~ v17_lattices(A_2414)
| ~ v10_lattices(A_2414)
| v3_struct_0(A_2414) ),
inference(cnfTransformation,[status(thm)],[f_808]) ).
tff(c_27818,plain,
( ( k7_lopclset('#skF_1') = a_1_1_lopclset('#skF_1') )
| ~ l3_lattices('#skF_1')
| v3_realset2('#skF_1')
| ~ v17_lattices('#skF_1')
| ~ v10_lattices('#skF_1') ),
inference(resolution,[status(thm)],[c_27809,c_20]) ).
tff(c_27826,plain,
( ( k7_lopclset('#skF_1') = a_1_1_lopclset('#skF_1') )
| v3_realset2('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_16,c_12,c_27818]) ).
tff(c_27827,plain,
k7_lopclset('#skF_1') = a_1_1_lopclset('#skF_1'),
inference(negUnitSimplification,[status(thm)],[c_14,c_27826]) ).
tff(c_28580,plain,
! [A_2433] :
( m2_relset_1(k9_lopclset(A_2433),u1_struct_0(A_2433),k1_zfmisc_1(k7_lopclset(A_2433)))
| ~ l3_lattices(A_2433)
| v3_realset2(A_2433)
| ~ v17_lattices(A_2433)
| ~ v10_lattices(A_2433)
| v3_struct_0(A_2433) ),
inference(cnfTransformation,[status(thm)],[f_688]) ).
tff(c_28595,plain,
( m2_relset_1(k9_lopclset('#skF_1'),u1_struct_0('#skF_1'),k1_zfmisc_1(a_1_1_lopclset('#skF_1')))
| ~ l3_lattices('#skF_1')
| v3_realset2('#skF_1')
| ~ v17_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_27827,c_28580]) ).
tff(c_28608,plain,
( m2_relset_1(k8_lopclset('#skF_1'),u1_struct_0('#skF_1'),k1_zfmisc_1(a_1_1_lopclset('#skF_1')))
| v3_realset2('#skF_1')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_16,c_12,c_27869,c_28595]) ).
tff(c_28609,plain,
m2_relset_1(k8_lopclset('#skF_1'),u1_struct_0('#skF_1'),k1_zfmisc_1(a_1_1_lopclset('#skF_1'))),
inference(negUnitSimplification,[status(thm)],[c_20,c_14,c_28608]) ).
tff(c_190,plain,
! [C_64,A_62,B_63] :
( m1_relset_1(C_64,A_62,B_63)
| ~ m2_relset_1(C_64,A_62,B_63) ),
inference(cnfTransformation,[status(thm)],[f_315]) ).
tff(c_28621,plain,
m1_relset_1(k8_lopclset('#skF_1'),u1_struct_0('#skF_1'),k1_zfmisc_1(a_1_1_lopclset('#skF_1'))),
inference(resolution,[status(thm)],[c_28609,c_190]) ).
tff(c_346,plain,
! [A_129] :
( v1_funct_2(k9_lopclset(A_129),u1_struct_0(A_129),k1_zfmisc_1(k7_lopclset(A_129)))
| ~ l3_lattices(A_129)
| v3_realset2(A_129)
| ~ v17_lattices(A_129)
| ~ v10_lattices(A_129)
| v3_struct_0(A_129) ),
inference(cnfTransformation,[status(thm)],[f_688]) ).
tff(c_489,plain,
! [A_174] :
( l2_lattices(A_174)
| ~ l3_lattices(A_174) ),
inference(cnfTransformation,[status(thm)],[f_694]) ).
tff(c_500,plain,
l2_lattices('#skF_1'),
inference(resolution,[status(thm)],[c_12,c_489]) ).
tff(c_539,plain,
! [A_183] :
( l1_struct_0(A_183)
| ~ l2_lattices(A_183) ),
inference(cnfTransformation,[status(thm)],[f_323]) ).
tff(c_552,plain,
l1_struct_0('#skF_1'),
inference(resolution,[status(thm)],[c_500,c_539]) ).
tff(c_28859,plain,
! [A_2444,B_2445,C_2446,D_2447] :
( ( k8_funct_2(A_2444,B_2445,C_2446,D_2447) = k1_funct_1(C_2446,D_2447) )
| ~ m1_subset_1(D_2447,A_2444)
| ~ m1_relset_1(C_2446,A_2444,B_2445)
| ~ v1_funct_2(C_2446,A_2444,B_2445)
| ~ v1_funct_1(C_2446)
| v1_xboole_0(A_2444) ),
inference(cnfTransformation,[status(thm)],[f_613]) ).
tff(c_28923,plain,
! [B_2445,C_2446] :
( ( k8_funct_2(u1_struct_0('#skF_1'),B_2445,C_2446,'#skF_2') = k1_funct_1(C_2446,'#skF_2') )
| ~ m1_relset_1(C_2446,u1_struct_0('#skF_1'),B_2445)
| ~ v1_funct_2(C_2446,u1_struct_0('#skF_1'),B_2445)
| ~ v1_funct_1(C_2446)
| v1_xboole_0(u1_struct_0('#skF_1')) ),
inference(resolution,[status(thm)],[c_10,c_28859]) ).
tff(c_28924,plain,
v1_xboole_0(u1_struct_0('#skF_1')),
inference(splitLeft,[status(thm)],[c_28923]) ).
tff(c_272,plain,
! [A_87] :
( ~ v1_xboole_0(u1_struct_0(A_87))
| ~ l1_struct_0(A_87)
| v3_struct_0(A_87) ),
inference(cnfTransformation,[status(thm)],[f_495]) ).
tff(c_28929,plain,
( ~ l1_struct_0('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_28924,c_272]) ).
tff(c_28944,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_552,c_28929]) ).
tff(c_28946,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_20,c_28944]) ).
tff(c_31183,plain,
! [B_2630,C_2631] :
( ( k8_funct_2(u1_struct_0('#skF_1'),B_2630,C_2631,'#skF_2') = k1_funct_1(C_2631,'#skF_2') )
| ~ m1_relset_1(C_2631,u1_struct_0('#skF_1'),B_2630)
| ~ v1_funct_2(C_2631,u1_struct_0('#skF_1'),B_2630)
| ~ v1_funct_1(C_2631) ),
inference(splitRight,[status(thm)],[c_28923]) ).
tff(c_31190,plain,
( ( k8_funct_2(u1_struct_0('#skF_1'),k1_zfmisc_1(k7_lopclset('#skF_1')),k9_lopclset('#skF_1'),'#skF_2') = k1_funct_1(k9_lopclset('#skF_1'),'#skF_2') )
| ~ m1_relset_1(k9_lopclset('#skF_1'),u1_struct_0('#skF_1'),k1_zfmisc_1(k7_lopclset('#skF_1')))
| ~ v1_funct_1(k9_lopclset('#skF_1'))
| ~ l3_lattices('#skF_1')
| v3_realset2('#skF_1')
| ~ v17_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_346,c_31183]) ).
tff(c_31200,plain,
( ( k8_funct_2(u1_struct_0('#skF_1'),k1_zfmisc_1(a_1_1_lopclset('#skF_1')),k8_lopclset('#skF_1'),'#skF_2') = k1_funct_1(k8_lopclset('#skF_1'),'#skF_2') )
| v3_realset2('#skF_1')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_16,c_12,c_27888,c_27869,c_28621,c_27827,c_27869,c_27827,c_27869,c_27869,c_31190]) ).
tff(c_31201,plain,
k8_funct_2(u1_struct_0('#skF_1'),k1_zfmisc_1(a_1_1_lopclset('#skF_1')),k8_lopclset('#skF_1'),'#skF_2') = k1_funct_1(k8_lopclset('#skF_1'),'#skF_2'),
inference(negUnitSimplification,[status(thm)],[c_20,c_14,c_31200]) ).
tff(c_4,plain,
~ r2_hidden('#skF_3',k8_funct_2(u1_struct_0('#skF_1'),k1_zfmisc_1(k7_lopclset('#skF_1')),k9_lopclset('#skF_1'),'#skF_2')),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_27839,plain,
~ r2_hidden('#skF_3',k8_funct_2(u1_struct_0('#skF_1'),k1_zfmisc_1(a_1_1_lopclset('#skF_1')),k9_lopclset('#skF_1'),'#skF_2')),
inference(demodulation,[status(thm),theory(equality)],[c_27827,c_4]) ).
tff(c_27904,plain,
~ r2_hidden('#skF_3',k8_funct_2(u1_struct_0('#skF_1'),k1_zfmisc_1(a_1_1_lopclset('#skF_1')),k8_lopclset('#skF_1'),'#skF_2')),
inference(demodulation,[status(thm),theory(equality)],[c_27869,c_27839]) ).
tff(c_31219,plain,
~ r2_hidden('#skF_3',k1_funct_1(k8_lopclset('#skF_1'),'#skF_2')),
inference(demodulation,[status(thm),theory(equality)],[c_31201,c_27904]) ).
tff(c_31232,plain,
( ~ r2_hidden('#skF_2','#skF_3')
| ~ v1_filter_0('#skF_3','#skF_1')
| ~ m1_filter_0('#skF_3','#skF_1')
| ~ m1_subset_1('#skF_2',u1_struct_0('#skF_1'))
| ~ l3_lattices('#skF_1')
| v3_realset2('#skF_1')
| ~ v17_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_410,c_31219]) ).
tff(c_31238,plain,
( v3_realset2('#skF_1')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_16,c_12,c_10,c_8,c_6,c_2,c_31232]) ).
tff(c_31240,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_20,c_14,c_31238]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT289+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
% 0.14/0.34 % Computer : n004.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu Aug 3 12:34:41 EDT 2023
% 0.14/0.34 % CPUTime :
% 21.80/8.85 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 21.80/8.86
% 21.80/8.86 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 21.80/8.89
% 21.80/8.89 Inference rules
% 21.80/8.89 ----------------------
% 21.80/8.89 #Ref : 0
% 21.80/8.89 #Sup : 6680
% 21.80/8.89 #Fact : 0
% 21.80/8.89 #Define : 0
% 21.80/8.89 #Split : 217
% 21.80/8.89 #Chain : 0
% 21.80/8.89 #Close : 0
% 21.80/8.89
% 21.80/8.89 Ordering : KBO
% 21.80/8.89
% 21.80/8.89 Simplification rules
% 21.80/8.89 ----------------------
% 21.80/8.89 #Subsume : 2469
% 21.80/8.89 #Demod : 1530
% 21.80/8.89 #Tautology : 827
% 21.80/8.89 #SimpNegUnit : 630
% 21.80/8.89 #BackRed : 367
% 21.80/8.89
% 21.80/8.89 #Partial instantiations: 0
% 21.80/8.89 #Strategies tried : 1
% 21.80/8.89
% 21.80/8.89 Timing (in seconds)
% 21.80/8.89 ----------------------
% 21.80/8.90 Preprocessing : 0.80
% 21.80/8.90 Parsing : 0.40
% 21.80/8.90 CNF conversion : 0.07
% 21.80/8.90 Main loop : 7.03
% 21.80/8.90 Inferencing : 2.16
% 21.80/8.90 Reduction : 2.55
% 21.80/8.90 Demodulation : 1.69
% 21.80/8.90 BG Simplification : 0.11
% 21.80/8.90 Subsumption : 1.70
% 21.80/8.90 Abstraction : 0.10
% 21.80/8.90 MUC search : 0.00
% 21.80/8.90 Cooper : 0.00
% 21.80/8.90 Total : 7.89
% 21.80/8.90 Index Insertion : 0.00
% 21.80/8.90 Index Deletion : 0.00
% 21.80/8.90 Index Matching : 0.00
% 21.80/8.90 BG Taut test : 0.00
%------------------------------------------------------------------------------