TSTP Solution File: LAT291+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LAT291+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 : n029.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 10:46:40 EDT 2023
% Result : Theorem 16.64s 5.61s
% Output : CNFRefutation 16.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 99
% Syntax : Number of formulae : 176 ( 27 unt; 81 typ; 0 def)
% Number of atoms : 328 ( 34 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 363 ( 130 ~; 159 |; 54 &)
% ( 3 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 98 ( 71 >; 27 *; 0 +; 0 <<)
% Number of predicates : 48 ( 46 usr; 1 prp; 0-3 aty)
% Number of functors : 35 ( 35 usr; 10 con; 0-4 aty)
% Number of variables : 73 (; 72 !; 1 ?; 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 > k7_lattices > k4_xboole_0 > k2_zfmisc_1 > k1_funct_1 > #nlpp > u1_struct_0 > k9_lopclset > k8_lopclset > k7_lopclset > k6_lattices > k5_lattices > k1_zfmisc_1 > a_1_1_lopclset > k1_xboole_0 > #skF_16 > #skF_18 > #skF_17 > #skF_11 > #skF_19 > #skF_20 > #skF_8 > #skF_12 > #skF_14 > #skF_5 > #skF_13 > #skF_2 > #skF_10 > #skF_3 > #skF_1 > #skF_4 > #skF_7 > #skF_21 > #skF_9 > #skF_15 > #skF_6
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(l3_lattices,type,
l3_lattices: $i > $o ).
tff(k6_lattices,type,
k6_lattices: $i > $i ).
tff(v12_lattices,type,
v12_lattices: $i > $o ).
tff(m2_relset_1,type,
m2_relset_1: ( $i * $i * $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(v4_finsub_1,type,
v4_finsub_1: $i > $o ).
tff(k7_lopclset,type,
k7_lopclset: $i > $i ).
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('#skF_11',type,
'#skF_11': $i ).
tff(v1_filter_0,type,
v1_filter_0: ( $i * $i ) > $o ).
tff(k4_xboole_0,type,
k4_xboole_0: ( $i * $i ) > $i ).
tff(k8_lopclset,type,
k8_lopclset: $i > $i ).
tff(v1_partfun1,type,
v1_partfun1: ( $i * $i * $i ) > $o ).
tff('#skF_19',type,
'#skF_19': $i > $i ).
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(k9_lopclset,type,
k9_lopclset: $i > $i ).
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(m1_relset_1,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff(v17_lattices,type,
v17_lattices: $i > $o ).
tff(v4_ordinal2,type,
v4_ordinal2: $i > $o ).
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(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(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_10',type,
'#skF_10': ( $i * $i ) > $i ).
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(v10_lattices,type,
v10_lattices: $i > $o ).
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(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(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(k5_lattices,type,
k5_lattices: $i > $i ).
tff('#skF_7',type,
'#skF_7': ( $i * $i ) > $i ).
tff(v4_membered,type,
v4_membered: $i > $o ).
tff(k7_lattices,type,
k7_lattices: ( $i * $i ) > $i ).
tff(u1_struct_0,type,
u1_struct_0: $i > $i ).
tff(v16_lattices,type,
v16_lattices: $i > $o ).
tff('#skF_21',type,
'#skF_21': ( $i * $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('#skF_15',type,
'#skF_15': ( $i * $i ) > $i ).
tff(a_1_1_lopclset,type,
a_1_1_lopclset: $i > $i ).
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_44,negated_conjecture,
~ ! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& v17_lattices(A)
& ~ v3_realset2(A)
& l3_lattices(A) )
=> ( k8_funct_2(u1_struct_0(A),k1_zfmisc_1(k7_lopclset(A)),k9_lopclset(A),k6_lattices(A)) = k7_lopclset(A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t37_lopclset) ).
tff(f_412,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/sandbox2/benchmark/theBenchmark.p',d5_lopclset) ).
tff(f_806,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/sandbox2/benchmark/theBenchmark.p',redefinition_k9_lopclset) ).
tff(f_871,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& v17_lattices(A)
& l3_lattices(A) )
=> ( k7_lattices(A,k5_lattices(A)) = k6_lattices(A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t37_lattice4) ).
tff(f_511,axiom,
! [A] :
( l3_lattices(A)
=> ( l1_lattices(A)
& l2_lattices(A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_lattices) ).
tff(f_420,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_116,axiom,
! [A] :
( v1_xboole_0(A)
=> ( v1_membered(A)
& v2_membered(A)
& v3_membered(A)
& v4_membered(A)
& v5_membered(A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc15_membered) ).
tff(f_671,axiom,
! [A,B] :
( ( ~ v3_struct_0(B)
& v10_lattices(B)
& v17_lattices(B)
& ~ v3_realset2(B)
& l3_lattices(B) )
=> ( r2_hidden(A,a_1_1_lopclset(B))
<=> ? [C] :
( m1_filter_0(C,B)
& ( A = C )
& v1_filter_0(C,B) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fraenkel_a_1_1_lopclset) ).
tff(f_450,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& v17_lattices(A)
& ~ v3_realset2(A)
& l3_lattices(A) )
=> m1_subset_1(k7_lopclset(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_lopclset) ).
tff(f_885,axiom,
! [A,B,C] :
( ( r2_hidden(A,B)
& m1_subset_1(B,k1_zfmisc_1(C)) )
=> m1_subset_1(A,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
tff(f_877,axiom,
! [A,B] :
( m1_subset_1(A,k1_zfmisc_1(B))
<=> r1_tarski(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
tff(f_221,axiom,
! [A] :
( v5_membered(A)
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> ( v1_membered(B)
& v2_membered(B)
& v3_membered(B)
& v4_membered(B)
& v5_membered(B) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc20_membered) ).
tff(f_497,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/sandbox2/benchmark/theBenchmark.p',dt_k9_lopclset) ).
tff(f_810,axiom,
! [A,B,C] :
( m2_relset_1(C,A,B)
<=> m1_relset_1(C,A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
tff(f_860,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& v17_lattices(A)
& ~ v3_realset2(A)
& l3_lattices(A) )
=> ( k8_funct_2(u1_struct_0(A),k1_zfmisc_1(k7_lopclset(A)),k9_lopclset(A),k5_lattices(A)) = k1_xboole_0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t36_lopclset) ).
tff(f_463,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) )
=> m1_subset_1(k8_funct_2(A,B,C,D),B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_funct_2) ).
tff(f_873,axiom,
! [A] : ( k4_xboole_0(A,k1_xboole_0) = A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_boole) ).
tff(f_833,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))
=> ( k4_xboole_0(k7_lopclset(A),k8_funct_2(u1_struct_0(A),k1_zfmisc_1(k7_lopclset(A)),k9_lopclset(A),B)) = k8_funct_2(u1_struct_0(A),k1_zfmisc_1(k7_lopclset(A)),k9_lopclset(A),k7_lattices(A,B)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t28_lopclset) ).
tff(c_12,plain,
~ v3_struct_0('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_6,plain,
~ v3_realset2('#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,
v17_lattices('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_4,plain,
l3_lattices('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_4401,plain,
! [A_670] :
( ( k7_lopclset(A_670) = a_1_1_lopclset(A_670) )
| ~ l3_lattices(A_670)
| v3_realset2(A_670)
| ~ v17_lattices(A_670)
| ~ v10_lattices(A_670)
| v3_struct_0(A_670) ),
inference(cnfTransformation,[status(thm)],[f_412]) ).
tff(c_4410,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_4401,c_12]) ).
tff(c_4418,plain,
( ( k7_lopclset('#skF_1') = a_1_1_lopclset('#skF_1') )
| v3_realset2('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_4,c_4410]) ).
tff(c_4419,plain,
k7_lopclset('#skF_1') = a_1_1_lopclset('#skF_1'),
inference(negUnitSimplification,[status(thm)],[c_6,c_4418]) ).
tff(c_4206,plain,
! [A_664] :
( ( k9_lopclset(A_664) = k8_lopclset(A_664) )
| ~ l3_lattices(A_664)
| v3_realset2(A_664)
| ~ v17_lattices(A_664)
| ~ v10_lattices(A_664)
| v3_struct_0(A_664) ),
inference(cnfTransformation,[status(thm)],[f_806]) ).
tff(c_4215,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_4206,c_12]) ).
tff(c_4223,plain,
( ( k9_lopclset('#skF_1') = k8_lopclset('#skF_1') )
| v3_realset2('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_4,c_4215]) ).
tff(c_4224,plain,
k9_lopclset('#skF_1') = k8_lopclset('#skF_1'),
inference(negUnitSimplification,[status(thm)],[c_6,c_4223]) ).
tff(c_2,plain,
k8_funct_2(u1_struct_0('#skF_1'),k1_zfmisc_1(k7_lopclset('#skF_1')),k9_lopclset('#skF_1'),k6_lattices('#skF_1')) != k7_lopclset('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_4235,plain,
k8_funct_2(u1_struct_0('#skF_1'),k1_zfmisc_1(k7_lopclset('#skF_1')),k8_lopclset('#skF_1'),k6_lattices('#skF_1')) != k7_lopclset('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_4224,c_2]) ).
tff(c_4430,plain,
k8_funct_2(u1_struct_0('#skF_1'),k1_zfmisc_1(a_1_1_lopclset('#skF_1')),k8_lopclset('#skF_1'),k6_lattices('#skF_1')) != a_1_1_lopclset('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_4419,c_4419,c_4235]) ).
tff(c_432,plain,
! [A_151] :
( ( k7_lattices(A_151,k5_lattices(A_151)) = k6_lattices(A_151) )
| ~ l3_lattices(A_151)
| ~ v17_lattices(A_151)
| ~ v10_lattices(A_151)
| v3_struct_0(A_151) ),
inference(cnfTransformation,[status(thm)],[f_871]) ).
tff(c_503,plain,
! [A_183] :
( l1_lattices(A_183)
| ~ l3_lattices(A_183) ),
inference(cnfTransformation,[status(thm)],[f_511]) ).
tff(c_515,plain,
l1_lattices('#skF_1'),
inference(resolution,[status(thm)],[c_4,c_503]) ).
tff(c_198,plain,
! [A_66] :
( m1_subset_1(k5_lattices(A_66),u1_struct_0(A_66))
| ~ l1_lattices(A_66)
| v3_struct_0(A_66) ),
inference(cnfTransformation,[status(thm)],[f_420]) ).
tff(c_46,plain,
! [A_18] :
( v5_membered(A_18)
| ~ v1_xboole_0(A_18) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_314,plain,
! [C_117,B_114] :
( r2_hidden(C_117,a_1_1_lopclset(B_114))
| ~ v1_filter_0(C_117,B_114)
| ~ m1_filter_0(C_117,B_114)
| ~ l3_lattices(B_114)
| v3_realset2(B_114)
| ~ v17_lattices(B_114)
| ~ v10_lattices(B_114)
| v3_struct_0(B_114) ),
inference(cnfTransformation,[status(thm)],[f_671]) ).
tff(c_4744,plain,
! [A_689] :
( m1_subset_1(k7_lopclset(A_689),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A_689))))
| ~ l3_lattices(A_689)
| v3_realset2(A_689)
| ~ v17_lattices(A_689)
| ~ v10_lattices(A_689)
| v3_struct_0(A_689) ),
inference(cnfTransformation,[status(thm)],[f_450]) ).
tff(c_4847,plain,
( m1_subset_1(a_1_1_lopclset('#skF_1'),k1_zfmisc_1(k1_zfmisc_1(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(superposition,[status(thm),theory(equality)],[c_4419,c_4744]) ).
tff(c_4886,plain,
( m1_subset_1(a_1_1_lopclset('#skF_1'),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0('#skF_1'))))
| v3_realset2('#skF_1')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_4,c_4847]) ).
tff(c_4887,plain,
m1_subset_1(a_1_1_lopclset('#skF_1'),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0('#skF_1')))),
inference(negUnitSimplification,[status(thm)],[c_12,c_6,c_4886]) ).
tff(c_442,plain,
! [A_156,C_158,B_157] :
( m1_subset_1(A_156,C_158)
| ~ m1_subset_1(B_157,k1_zfmisc_1(C_158))
| ~ r2_hidden(A_156,B_157) ),
inference(cnfTransformation,[status(thm)],[f_885]) ).
tff(c_6259,plain,
! [A_728] :
( m1_subset_1(A_728,k1_zfmisc_1(u1_struct_0('#skF_1')))
| ~ r2_hidden(A_728,a_1_1_lopclset('#skF_1')) ),
inference(resolution,[status(thm)],[c_4887,c_442]) ).
tff(c_436,plain,
! [A_153,B_154] :
( r1_tarski(A_153,B_154)
| ~ m1_subset_1(A_153,k1_zfmisc_1(B_154)) ),
inference(cnfTransformation,[status(thm)],[f_877]) ).
tff(c_6399,plain,
! [A_729] :
( r1_tarski(A_729,u1_struct_0('#skF_1'))
| ~ r2_hidden(A_729,a_1_1_lopclset('#skF_1')) ),
inference(resolution,[status(thm)],[c_6259,c_436]) ).
tff(c_6407,plain,
! [C_117] :
( r1_tarski(C_117,u1_struct_0('#skF_1'))
| ~ v1_filter_0(C_117,'#skF_1')
| ~ m1_filter_0(C_117,'#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_314,c_6399]) ).
tff(c_6435,plain,
! [C_117] :
( r1_tarski(C_117,u1_struct_0('#skF_1'))
| ~ v1_filter_0(C_117,'#skF_1')
| ~ m1_filter_0(C_117,'#skF_1')
| v3_realset2('#skF_1')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_4,c_6407]) ).
tff(c_6556,plain,
! [C_739] :
( r1_tarski(C_739,u1_struct_0('#skF_1'))
| ~ v1_filter_0(C_739,'#skF_1')
| ~ m1_filter_0(C_739,'#skF_1') ),
inference(negUnitSimplification,[status(thm)],[c_12,c_6,c_6435]) ).
tff(c_438,plain,
! [A_153,B_154] :
( m1_subset_1(A_153,k1_zfmisc_1(B_154))
| ~ r1_tarski(A_153,B_154) ),
inference(cnfTransformation,[status(thm)],[f_877]) ).
tff(c_1259,plain,
! [B_317,A_318] :
( v1_membered(B_317)
| ~ m1_subset_1(B_317,k1_zfmisc_1(A_318))
| ~ v5_membered(A_318) ),
inference(cnfTransformation,[status(thm)],[f_221]) ).
tff(c_1275,plain,
! [A_153,B_154] :
( v1_membered(A_153)
| ~ v5_membered(B_154)
| ~ r1_tarski(A_153,B_154) ),
inference(resolution,[status(thm)],[c_438,c_1259]) ).
tff(c_6624,plain,
! [C_739] :
( v1_membered(C_739)
| ~ v5_membered(u1_struct_0('#skF_1'))
| ~ v1_filter_0(C_739,'#skF_1')
| ~ m1_filter_0(C_739,'#skF_1') ),
inference(resolution,[status(thm)],[c_6556,c_1275]) ).
tff(c_6999,plain,
~ v5_membered(u1_struct_0('#skF_1')),
inference(splitLeft,[status(thm)],[c_6624]) ).
tff(c_7003,plain,
~ v1_xboole_0(u1_struct_0('#skF_1')),
inference(resolution,[status(thm)],[c_46,c_6999]) ).
tff(c_216,plain,
! [A_76] :
( v1_funct_1(k9_lopclset(A_76))
| ~ l3_lattices(A_76)
| v3_realset2(A_76)
| ~ v17_lattices(A_76)
| ~ v10_lattices(A_76)
| v3_struct_0(A_76) ),
inference(cnfTransformation,[status(thm)],[f_497]) ).
tff(c_4239,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_4224,c_216]) ).
tff(c_4243,plain,
( v1_funct_1(k8_lopclset('#skF_1'))
| v3_realset2('#skF_1')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_4,c_4239]) ).
tff(c_4244,plain,
v1_funct_1(k8_lopclset('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_12,c_6,c_4243]) ).
tff(c_5296,plain,
! [A_690] :
( v1_funct_2(k9_lopclset(A_690),u1_struct_0(A_690),k1_zfmisc_1(k7_lopclset(A_690)))
| ~ l3_lattices(A_690)
| v3_realset2(A_690)
| ~ v17_lattices(A_690)
| ~ v10_lattices(A_690)
| v3_struct_0(A_690) ),
inference(cnfTransformation,[status(thm)],[f_497]) ).
tff(c_5308,plain,
( v1_funct_2(k8_lopclset('#skF_1'),u1_struct_0('#skF_1'),k1_zfmisc_1(k7_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_4224,c_5296]) ).
tff(c_5322,plain,
( v1_funct_2(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_10,c_8,c_4,c_4419,c_5308]) ).
tff(c_5323,plain,
v1_funct_2(k8_lopclset('#skF_1'),u1_struct_0('#skF_1'),k1_zfmisc_1(a_1_1_lopclset('#skF_1'))),
inference(negUnitSimplification,[status(thm)],[c_12,c_6,c_5322]) ).
tff(c_5420,plain,
! [A_694] :
( m2_relset_1(k9_lopclset(A_694),u1_struct_0(A_694),k1_zfmisc_1(k7_lopclset(A_694)))
| ~ l3_lattices(A_694)
| v3_realset2(A_694)
| ~ v17_lattices(A_694)
| ~ v10_lattices(A_694)
| v3_struct_0(A_694) ),
inference(cnfTransformation,[status(thm)],[f_497]) ).
tff(c_5429,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_4419,c_5420]) ).
tff(c_5442,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_10,c_8,c_4,c_4224,c_5429]) ).
tff(c_5443,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_12,c_6,c_5442]) ).
tff(c_410,plain,
! [C_137,A_135,B_136] :
( m1_relset_1(C_137,A_135,B_136)
| ~ m2_relset_1(C_137,A_135,B_136) ),
inference(cnfTransformation,[status(thm)],[f_810]) ).
tff(c_5460,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_5443,c_410]) ).
tff(c_5537,plain,
! [A_701] :
( ( k8_funct_2(u1_struct_0(A_701),k1_zfmisc_1(k7_lopclset(A_701)),k9_lopclset(A_701),k5_lattices(A_701)) = k1_xboole_0 )
| ~ l3_lattices(A_701)
| v3_realset2(A_701)
| ~ v17_lattices(A_701)
| ~ v10_lattices(A_701)
| v3_struct_0(A_701) ),
inference(cnfTransformation,[status(thm)],[f_860]) ).
tff(c_5552,plain,
( ( k8_funct_2(u1_struct_0('#skF_1'),k1_zfmisc_1(k7_lopclset('#skF_1')),k8_lopclset('#skF_1'),k5_lattices('#skF_1')) = k1_xboole_0 )
| ~ 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_4224,c_5537]) ).
tff(c_5565,plain,
( ( k8_funct_2(u1_struct_0('#skF_1'),k1_zfmisc_1(a_1_1_lopclset('#skF_1')),k8_lopclset('#skF_1'),k5_lattices('#skF_1')) = k1_xboole_0 )
| v3_realset2('#skF_1')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_4,c_4419,c_5552]) ).
tff(c_5566,plain,
k8_funct_2(u1_struct_0('#skF_1'),k1_zfmisc_1(a_1_1_lopclset('#skF_1')),k8_lopclset('#skF_1'),k5_lattices('#skF_1')) = k1_xboole_0,
inference(negUnitSimplification,[status(thm)],[c_12,c_6,c_5565]) ).
tff(c_5574,plain,
! [A_702,B_703,C_704,D_705] :
( m1_subset_1(k8_funct_2(A_702,B_703,C_704,D_705),B_703)
| ~ m1_subset_1(D_705,A_702)
| ~ m1_relset_1(C_704,A_702,B_703)
| ~ v1_funct_2(C_704,A_702,B_703)
| ~ v1_funct_1(C_704)
| v1_xboole_0(A_702) ),
inference(cnfTransformation,[status(thm)],[f_463]) ).
tff(c_5700,plain,
( m1_subset_1(k1_xboole_0,k1_zfmisc_1(a_1_1_lopclset('#skF_1')))
| ~ m1_subset_1(k5_lattices('#skF_1'),u1_struct_0('#skF_1'))
| ~ m1_relset_1(k8_lopclset('#skF_1'),u1_struct_0('#skF_1'),k1_zfmisc_1(a_1_1_lopclset('#skF_1')))
| ~ v1_funct_2(k8_lopclset('#skF_1'),u1_struct_0('#skF_1'),k1_zfmisc_1(a_1_1_lopclset('#skF_1')))
| ~ v1_funct_1(k8_lopclset('#skF_1'))
| v1_xboole_0(u1_struct_0('#skF_1')) ),
inference(superposition,[status(thm),theory(equality)],[c_5566,c_5574]) ).
tff(c_5740,plain,
( m1_subset_1(k1_xboole_0,k1_zfmisc_1(a_1_1_lopclset('#skF_1')))
| ~ m1_subset_1(k5_lattices('#skF_1'),u1_struct_0('#skF_1'))
| v1_xboole_0(u1_struct_0('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_4244,c_5323,c_5460,c_5700]) ).
tff(c_9767,plain,
( m1_subset_1(k1_xboole_0,k1_zfmisc_1(a_1_1_lopclset('#skF_1')))
| ~ m1_subset_1(k5_lattices('#skF_1'),u1_struct_0('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_7003,c_5740]) ).
tff(c_9768,plain,
~ m1_subset_1(k5_lattices('#skF_1'),u1_struct_0('#skF_1')),
inference(splitLeft,[status(thm)],[c_9767]) ).
tff(c_9771,plain,
( ~ l1_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_198,c_9768]) ).
tff(c_9774,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_515,c_9771]) ).
tff(c_9776,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12,c_9774]) ).
tff(c_9778,plain,
m1_subset_1(k5_lattices('#skF_1'),u1_struct_0('#skF_1')),
inference(splitRight,[status(thm)],[c_9767]) ).
tff(c_434,plain,
! [A_152] : ( k4_xboole_0(A_152,k1_xboole_0) = A_152 ),
inference(cnfTransformation,[status(thm)],[f_873]) ).
tff(c_5831,plain,
! [A_710,B_711] :
( ( k4_xboole_0(k7_lopclset(A_710),k8_funct_2(u1_struct_0(A_710),k1_zfmisc_1(k7_lopclset(A_710)),k9_lopclset(A_710),B_711)) = k8_funct_2(u1_struct_0(A_710),k1_zfmisc_1(k7_lopclset(A_710)),k9_lopclset(A_710),k7_lattices(A_710,B_711)) )
| ~ m1_subset_1(B_711,u1_struct_0(A_710))
| ~ l3_lattices(A_710)
| v3_realset2(A_710)
| ~ v17_lattices(A_710)
| ~ v10_lattices(A_710)
| v3_struct_0(A_710) ),
inference(cnfTransformation,[status(thm)],[f_833]) ).
tff(c_5891,plain,
! [B_711] :
( ( k4_xboole_0(a_1_1_lopclset('#skF_1'),k8_funct_2(u1_struct_0('#skF_1'),k1_zfmisc_1(k7_lopclset('#skF_1')),k9_lopclset('#skF_1'),B_711)) = k8_funct_2(u1_struct_0('#skF_1'),k1_zfmisc_1(k7_lopclset('#skF_1')),k9_lopclset('#skF_1'),k7_lattices('#skF_1',B_711)) )
| ~ m1_subset_1(B_711,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(superposition,[status(thm),theory(equality)],[c_4419,c_5831]) ).
tff(c_5911,plain,
! [B_711] :
( ( k4_xboole_0(a_1_1_lopclset('#skF_1'),k8_funct_2(u1_struct_0('#skF_1'),k1_zfmisc_1(a_1_1_lopclset('#skF_1')),k8_lopclset('#skF_1'),B_711)) = k8_funct_2(u1_struct_0('#skF_1'),k1_zfmisc_1(a_1_1_lopclset('#skF_1')),k8_lopclset('#skF_1'),k7_lattices('#skF_1',B_711)) )
| ~ m1_subset_1(B_711,u1_struct_0('#skF_1'))
| v3_realset2('#skF_1')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_4,c_4419,c_4419,c_4224,c_4224,c_5891]) ).
tff(c_5935,plain,
! [B_712] :
( ( k4_xboole_0(a_1_1_lopclset('#skF_1'),k8_funct_2(u1_struct_0('#skF_1'),k1_zfmisc_1(a_1_1_lopclset('#skF_1')),k8_lopclset('#skF_1'),B_712)) = k8_funct_2(u1_struct_0('#skF_1'),k1_zfmisc_1(a_1_1_lopclset('#skF_1')),k8_lopclset('#skF_1'),k7_lattices('#skF_1',B_712)) )
| ~ m1_subset_1(B_712,u1_struct_0('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_12,c_6,c_5911]) ).
tff(c_5992,plain,
( ( k8_funct_2(u1_struct_0('#skF_1'),k1_zfmisc_1(a_1_1_lopclset('#skF_1')),k8_lopclset('#skF_1'),k7_lattices('#skF_1',k5_lattices('#skF_1'))) = k4_xboole_0(a_1_1_lopclset('#skF_1'),k1_xboole_0) )
| ~ m1_subset_1(k5_lattices('#skF_1'),u1_struct_0('#skF_1')) ),
inference(superposition,[status(thm),theory(equality)],[c_5566,c_5935]) ).
tff(c_5995,plain,
( ( k8_funct_2(u1_struct_0('#skF_1'),k1_zfmisc_1(a_1_1_lopclset('#skF_1')),k8_lopclset('#skF_1'),k7_lattices('#skF_1',k5_lattices('#skF_1'))) = a_1_1_lopclset('#skF_1') )
| ~ m1_subset_1(k5_lattices('#skF_1'),u1_struct_0('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_434,c_5992]) ).
tff(c_10914,plain,
k8_funct_2(u1_struct_0('#skF_1'),k1_zfmisc_1(a_1_1_lopclset('#skF_1')),k8_lopclset('#skF_1'),k7_lattices('#skF_1',k5_lattices('#skF_1'))) = a_1_1_lopclset('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_9778,c_5995]) ).
tff(c_10925,plain,
( ( k8_funct_2(u1_struct_0('#skF_1'),k1_zfmisc_1(a_1_1_lopclset('#skF_1')),k8_lopclset('#skF_1'),k6_lattices('#skF_1')) = a_1_1_lopclset('#skF_1') )
| ~ l3_lattices('#skF_1')
| ~ v17_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_432,c_10914]) ).
tff(c_10932,plain,
( ( k8_funct_2(u1_struct_0('#skF_1'),k1_zfmisc_1(a_1_1_lopclset('#skF_1')),k8_lopclset('#skF_1'),k6_lattices('#skF_1')) = a_1_1_lopclset('#skF_1') )
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_4,c_10925]) ).
tff(c_10934,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12,c_4430,c_10932]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT291+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/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
% 0.13/0.35 % Computer : n029.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 13:11:07 EDT 2023
% 0.13/0.35 % CPUTime :
% 16.64/5.61 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.64/5.62
% 16.64/5.62 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 16.64/5.66
% 16.64/5.66 Inference rules
% 16.64/5.66 ----------------------
% 16.64/5.66 #Ref : 0
% 16.64/5.66 #Sup : 2303
% 16.64/5.66 #Fact : 0
% 16.64/5.66 #Define : 0
% 16.64/5.66 #Split : 72
% 16.64/5.66 #Chain : 0
% 16.64/5.66 #Close : 0
% 16.64/5.66
% 16.64/5.66 Ordering : KBO
% 16.64/5.66
% 16.64/5.66 Simplification rules
% 16.64/5.66 ----------------------
% 16.64/5.66 #Subsume : 963
% 16.64/5.66 #Demod : 512
% 16.64/5.66 #Tautology : 279
% 16.64/5.66 #SimpNegUnit : 166
% 16.64/5.66 #BackRed : 109
% 16.64/5.66
% 16.64/5.66 #Partial instantiations: 0
% 16.64/5.66 #Strategies tried : 1
% 16.64/5.66
% 16.64/5.66 Timing (in seconds)
% 16.64/5.66 ----------------------
% 16.64/5.66 Preprocessing : 0.81
% 16.64/5.66 Parsing : 0.41
% 16.64/5.66 CNF conversion : 0.07
% 16.64/5.66 Main loop : 3.84
% 16.64/5.66 Inferencing : 1.26
% 16.64/5.66 Reduction : 1.31
% 16.64/5.66 Demodulation : 0.84
% 16.64/5.67 BG Simplification : 0.08
% 16.64/5.67 Subsumption : 0.88
% 16.64/5.67 Abstraction : 0.07
% 16.64/5.67 MUC search : 0.00
% 16.64/5.67 Cooper : 0.00
% 16.64/5.67 Total : 4.71
% 16.64/5.67 Index Insertion : 0.00
% 16.64/5.67 Index Deletion : 0.00
% 16.64/5.67 Index Matching : 0.00
% 16.64/5.67 BG Taut test : 0.00
%------------------------------------------------------------------------------