TSTP Solution File: LAT286+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LAT286+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 : n022.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 10:46:38 EDT 2023
% Result : Theorem 16.74s 5.84s
% Output : CNFRefutation 17.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 102
% Syntax : Number of formulae : 201 ( 35 unt; 81 typ; 0 def)
% Number of atoms : 358 ( 32 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 402 ( 164 ~; 167 |; 49 &)
% ( 3 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 94 ( 68 >; 26 *; 0 +; 0 <<)
% Number of predicates : 44 ( 42 usr; 1 prp; 0-3 aty)
% Number of functors : 39 ( 39 usr; 13 con; 0-3 aty)
% Number of variables : 113 (; 112 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ v1_partfun1 > v1_funct_2 > m2_subset_1 > m2_relset_1 > m1_relset_1 > v4_pre_topc > v3_pre_topc > r2_hidden > r1_tarski > m1_subset_1 > 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_membered > v3_lattices > v3_finsub_1 > v2_pre_topc > 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 > v10_lattices > l3_lattices > l2_lattices > l1_struct_0 > l1_pre_topc > l1_lattices > g3_lattices > k2_zfmisc_1 > #nlpp > u2_lattices > u1_struct_0 > u1_lattices > k6_lopclset > k5_lopclset > k4_lopclset > k2_pre_topc > k1_zfmisc_1 > k1_lopclset > a_1_0_lopclset > k1_xboole_0 > #skF_25 > #skF_22 > #skF_6 > #skF_18 > #skF_17 > #skF_26 > #skF_11 > #skF_15 > #skF_19 > #skF_3 > #skF_16 > #skF_14 > #skF_5 > #skF_10 > #skF_13 > #skF_1 > #skF_9 > #skF_8 > #skF_23 > #skF_4 > #skF_2 > #skF_24 > #skF_12 > #skF_7 > #skF_21 > #skF_20
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(l3_lattices,type,
l3_lattices: $i > $o ).
tff('#skF_25',type,
'#skF_25': $i > $i ).
tff(m2_relset_1,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff('#skF_22',type,
'#skF_22': ( $i * $i ) > $i ).
tff(l2_lattices,type,
l2_lattices: $i > $o ).
tff('#skF_6',type,
'#skF_6': ( $i * $i ) > $i ).
tff(v1_funct_1,type,
v1_funct_1: $i > $o ).
tff(v4_finsub_1,type,
v4_finsub_1: $i > $o ).
tff(v3_pre_topc,type,
v3_pre_topc: ( $i * $i ) > $o ).
tff('#skF_18',type,
'#skF_18': $i > $i ).
tff(k6_lopclset,type,
k6_lopclset: $i > $i ).
tff('#skF_17',type,
'#skF_17': $i ).
tff(r2_hidden,type,
r2_hidden: ( $i * $i ) > $o ).
tff('#skF_26',type,
'#skF_26': ( $i * $i ) > $i ).
tff('#skF_11',type,
'#skF_11': $i ).
tff('#skF_15',type,
'#skF_15': $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(k4_lopclset,type,
k4_lopclset: $i > $i ).
tff(l1_pre_topc,type,
l1_pre_topc: $i > $o ).
tff(l1_lattices,type,
l1_lattices: $i > $o ).
tff(k5_lopclset,type,
k5_lopclset: $i > $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i ) > $i ).
tff(r1_tarski,type,
r1_tarski: ( $i * $i ) > $o ).
tff(m1_relset_1,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff('#skF_16',type,
'#skF_16': $i ).
tff(v4_ordinal2,type,
v4_ordinal2: $i > $o ).
tff('#skF_14',type,
'#skF_14': $i ).
tff('#skF_5',type,
'#skF_5': $i ).
tff(v1_funct_2,type,
v1_funct_2: ( $i * $i * $i ) > $o ).
tff(v4_lattices,type,
v4_lattices: $i > $o ).
tff('#skF_10',type,
'#skF_10': $i > $i ).
tff('#skF_13',type,
'#skF_13': $i ).
tff(v6_lattices,type,
v6_lattices: $i > $o ).
tff(u2_lattices,type,
u2_lattices: $i > $i ).
tff(v9_lattices,type,
v9_lattices: $i > $o ).
tff(a_1_0_lopclset,type,
a_1_0_lopclset: $i > $i ).
tff(v3_membered,type,
v3_membered: $i > $o ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(u1_lattices,type,
u1_lattices: $i > $i ).
tff(g3_lattices,type,
g3_lattices: ( $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('#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(v2_membered,type,
v2_membered: $i > $o ).
tff(v4_pre_topc,type,
v4_pre_topc: ( $i * $i ) > $o ).
tff(v1_membered,type,
v1_membered: $i > $o ).
tff(v1_xcmplx_0,type,
v1_xcmplx_0: $i > $o ).
tff('#skF_8',type,
'#skF_8': $i ).
tff('#skF_23',type,
'#skF_23': ( $i * $i ) > $i ).
tff(v1_relat_1,type,
v1_relat_1: $i > $o ).
tff(k2_zfmisc_1,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(v8_lattices,type,
v8_lattices: $i > $o ).
tff('#skF_2',type,
'#skF_2': ( $i * $i ) > $i ).
tff(m2_subset_1,type,
m2_subset_1: ( $i * $i * $i ) > $o ).
tff(k1_lopclset,type,
k1_lopclset: $i > $i ).
tff('#skF_24',type,
'#skF_24': $i ).
tff(v1_finsub_1,type,
v1_finsub_1: $i > $o ).
tff(v2_pre_topc,type,
v2_pre_topc: $i > $o ).
tff(v1_rat_1,type,
v1_rat_1: $i > $o ).
tff(v3_lattices,type,
v3_lattices: $i > $o ).
tff(k2_pre_topc,type,
k2_pre_topc: $i > $i ).
tff('#skF_12',type,
'#skF_12': $i > $i ).
tff('#skF_7',type,
'#skF_7': ( $i * $i ) > $i ).
tff(v4_membered,type,
v4_membered: $i > $o ).
tff(u1_struct_0,type,
u1_struct_0: $i > $i ).
tff('#skF_21',type,
'#skF_21': ( $i * $i ) > $i ).
tff(v1_xboole_0,type,
v1_xboole_0: $i > $o ).
tff(v1_finset_1,type,
v1_finset_1: $i > $o ).
tff('#skF_20',type,
'#skF_20': $i > $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_749,axiom,
! [A] :
( ~ v1_xboole_0(k1_zfmisc_1(A))
& v1_finsub_1(k1_zfmisc_1(A))
& v3_finsub_1(k1_zfmisc_1(A))
& v4_finsub_1(k1_zfmisc_1(A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_finsub_1) ).
tff(f_39,negated_conjecture,
~ ! [A] :
( ( ~ v3_struct_0(A)
& v2_pre_topc(A)
& l1_pre_topc(A) )
=> m1_subset_1(k2_pre_topc(A),u1_struct_0(k6_lopclset(A))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_lopclset) ).
tff(f_776,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l1_pre_topc(A) )
=> ( k1_lopclset(A) = a_1_0_lopclset(A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_lopclset) ).
tff(f_759,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v2_pre_topc(A)
& l1_pre_topc(A) )
=> ~ v1_xboole_0(k1_lopclset(A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_lopclset) ).
tff(f_705,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l1_pre_topc(A) )
=> m1_subset_1(k1_lopclset(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_lopclset) ).
tff(f_794,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v2_pre_topc(A)
& l1_pre_topc(A) )
=> m2_subset_1(k2_pre_topc(A),k1_zfmisc_1(u1_struct_0(A)),k1_lopclset(A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_lopclset) ).
tff(f_698,axiom,
! [A,B] :
( ( ~ v1_xboole_0(A)
& ~ v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(A)) )
=> ! [C] :
( m2_subset_1(C,A,B)
<=> m1_subset_1(C,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_subset_1) ).
tff(f_498,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v2_pre_topc(A)
& l1_pre_topc(A) )
=> ( v1_funct_1(k4_lopclset(A))
& v1_funct_2(k4_lopclset(A),k2_zfmisc_1(k1_lopclset(A),k1_lopclset(A)),k1_lopclset(A))
& m2_relset_1(k4_lopclset(A),k2_zfmisc_1(k1_lopclset(A),k1_lopclset(A)),k1_lopclset(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_lopclset) ).
tff(f_106,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_353,axiom,
( v1_xboole_0(k1_xboole_0)
& v1_membered(k1_xboole_0)
& v2_membered(k1_xboole_0)
& v3_membered(k1_xboole_0)
& v4_membered(k1_xboole_0)
& v5_membered(k1_xboole_0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_membered) ).
tff(f_653,axiom,
! [A,B] :
( ! [C] :
( r2_hidden(C,A)
<=> r2_hidden(C,B) )
=> ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_tarski) ).
tff(f_638,axiom,
! [A,B] :
~ ( r2_hidden(A,B)
& v1_xboole_0(B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
tff(f_674,axiom,
! [A] :
? [B] : m1_subset_1(B,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
tff(f_442,axiom,
! [A,B,C] :
~ ( r2_hidden(A,B)
& m1_subset_1(B,k1_zfmisc_1(C))
& v1_xboole_0(C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_subset) ).
tff(f_222,axiom,
! [A,B,C] :
( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))
=> v1_relat_1(C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).
tff(f_316,axiom,
! [A,B] :
( ( ~ v1_xboole_0(A)
& ~ v1_xboole_0(B) )
=> ! [C] :
( m1_relset_1(C,A,B)
=> ( ( v1_funct_1(C)
& v1_funct_2(C,A,B) )
=> ( v1_funct_1(C)
& ~ v1_xboole_0(C)
& v1_partfun1(C,A,B)
& v1_funct_2(C,A,B) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc6_funct_2) ).
tff(f_785,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v2_pre_topc(A)
& l1_pre_topc(A) )
=> ( k6_lopclset(A) = g3_lattices(k1_lopclset(A),k4_lopclset(A),k5_lopclset(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_lopclset) ).
tff(f_511,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v2_pre_topc(A)
& l1_pre_topc(A) )
=> ( v1_funct_1(k5_lopclset(A))
& v1_funct_2(k5_lopclset(A),k2_zfmisc_1(k1_lopclset(A),k1_lopclset(A)),k1_lopclset(A))
& m2_relset_1(k5_lopclset(A),k2_zfmisc_1(k1_lopclset(A),k1_lopclset(A)),k1_lopclset(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_lopclset) ).
tff(f_485,axiom,
! [A,B,C] :
( ( v1_funct_1(B)
& v1_funct_2(B,k2_zfmisc_1(A,A),A)
& m1_relset_1(B,k2_zfmisc_1(A,A),A)
& v1_funct_1(C)
& v1_funct_2(C,k2_zfmisc_1(A,A),A)
& m1_relset_1(C,k2_zfmisc_1(A,A),A) )
=> ( v3_lattices(g3_lattices(A,B,C))
& l3_lattices(g3_lattices(A,B,C)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_g3_lattices) ).
tff(f_92,axiom,
! [A] :
( l3_lattices(A)
=> ( v3_lattices(A)
=> ( A = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abstractness_v3_lattices) ).
tff(f_463,axiom,
! [A,B,C] :
( ( v1_funct_1(B)
& v1_funct_2(B,k2_zfmisc_1(A,A),A)
& m1_relset_1(B,k2_zfmisc_1(A,A),A)
& v1_funct_1(C)
& v1_funct_2(C,k2_zfmisc_1(A,A),A)
& m1_relset_1(C,k2_zfmisc_1(A,A),A) )
=> ! [D,E,F] :
( ( g3_lattices(A,B,C) = g3_lattices(D,E,F) )
=> ( ( A = D )
& ( B = E )
& ( C = F ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',free_g3_lattices) ).
tff(c_384,plain,
! [A_157] : ~ v1_xboole_0(k1_zfmisc_1(A_157)),
inference(cnfTransformation,[status(thm)],[f_749]) ).
tff(c_8,plain,
~ v3_struct_0('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_6,plain,
v2_pre_topc('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_4,plain,
l1_pre_topc('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_2075,plain,
! [A_425] :
( ( k1_lopclset(A_425) = a_1_0_lopclset(A_425) )
| ~ l1_pre_topc(A_425)
| v3_struct_0(A_425) ),
inference(cnfTransformation,[status(thm)],[f_776]) ).
tff(c_2087,plain,
( ( k1_lopclset('#skF_1') = a_1_0_lopclset('#skF_1') )
| ~ l1_pre_topc('#skF_1') ),
inference(resolution,[status(thm)],[c_2075,c_8]) ).
tff(c_2093,plain,
k1_lopclset('#skF_1') = a_1_0_lopclset('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2087]) ).
tff(c_2099,plain,
! [A_426] :
( ~ v1_xboole_0(k1_lopclset(A_426))
| ~ l1_pre_topc(A_426)
| ~ v2_pre_topc(A_426)
| v3_struct_0(A_426) ),
inference(cnfTransformation,[status(thm)],[f_759]) ).
tff(c_2102,plain,
( ~ v1_xboole_0(a_1_0_lopclset('#skF_1'))
| ~ l1_pre_topc('#skF_1')
| ~ v2_pre_topc('#skF_1')
| v3_struct_0('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_2093,c_2099]) ).
tff(c_2104,plain,
( ~ v1_xboole_0(a_1_0_lopclset('#skF_1'))
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_4,c_2102]) ).
tff(c_2105,plain,
~ v1_xboole_0(a_1_0_lopclset('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_8,c_2104]) ).
tff(c_2822,plain,
! [A_512] :
( m1_subset_1(k1_lopclset(A_512),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A_512))))
| ~ l1_pre_topc(A_512)
| v3_struct_0(A_512) ),
inference(cnfTransformation,[status(thm)],[f_705]) ).
tff(c_2925,plain,
( m1_subset_1(a_1_0_lopclset('#skF_1'),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0('#skF_1'))))
| ~ l1_pre_topc('#skF_1')
| v3_struct_0('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_2093,c_2822]) ).
tff(c_2961,plain,
( m1_subset_1(a_1_0_lopclset('#skF_1'),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0('#skF_1'))))
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2925]) ).
tff(c_2962,plain,
m1_subset_1(a_1_0_lopclset('#skF_1'),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0('#skF_1')))),
inference(negUnitSimplification,[status(thm)],[c_8,c_2961]) ).
tff(c_3957,plain,
! [A_581] :
( m2_subset_1(k2_pre_topc(A_581),k1_zfmisc_1(u1_struct_0(A_581)),k1_lopclset(A_581))
| ~ l1_pre_topc(A_581)
| ~ v2_pre_topc(A_581)
| v3_struct_0(A_581) ),
inference(cnfTransformation,[status(thm)],[f_794]) ).
tff(c_3960,plain,
( m2_subset_1(k2_pre_topc('#skF_1'),k1_zfmisc_1(u1_struct_0('#skF_1')),a_1_0_lopclset('#skF_1'))
| ~ l1_pre_topc('#skF_1')
| ~ v2_pre_topc('#skF_1')
| v3_struct_0('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_2093,c_3957]) ).
tff(c_3962,plain,
( m2_subset_1(k2_pre_topc('#skF_1'),k1_zfmisc_1(u1_struct_0('#skF_1')),a_1_0_lopclset('#skF_1'))
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_4,c_3960]) ).
tff(c_3963,plain,
m2_subset_1(k2_pre_topc('#skF_1'),k1_zfmisc_1(u1_struct_0('#skF_1')),a_1_0_lopclset('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_8,c_3962]) ).
tff(c_4703,plain,
! [C_604,B_605,A_606] :
( m1_subset_1(C_604,B_605)
| ~ m2_subset_1(C_604,A_606,B_605)
| ~ m1_subset_1(B_605,k1_zfmisc_1(A_606))
| v1_xboole_0(B_605)
| v1_xboole_0(A_606) ),
inference(cnfTransformation,[status(thm)],[f_698]) ).
tff(c_4707,plain,
( m1_subset_1(k2_pre_topc('#skF_1'),a_1_0_lopclset('#skF_1'))
| ~ m1_subset_1(a_1_0_lopclset('#skF_1'),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0('#skF_1'))))
| v1_xboole_0(a_1_0_lopclset('#skF_1'))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0('#skF_1'))) ),
inference(resolution,[status(thm)],[c_3963,c_4703]) ).
tff(c_4713,plain,
( m1_subset_1(k2_pre_topc('#skF_1'),a_1_0_lopclset('#skF_1'))
| v1_xboole_0(a_1_0_lopclset('#skF_1'))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0('#skF_1'))) ),
inference(demodulation,[status(thm),theory(equality)],[c_2962,c_4707]) ).
tff(c_4714,plain,
m1_subset_1(k2_pre_topc('#skF_1'),a_1_0_lopclset('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_384,c_2105,c_4713]) ).
tff(c_260,plain,
! [A_109] :
( v1_funct_1(k4_lopclset(A_109))
| ~ l1_pre_topc(A_109)
| ~ v2_pre_topc(A_109)
| v3_struct_0(A_109) ),
inference(cnfTransformation,[status(thm)],[f_498]) ).
tff(c_5200,plain,
! [A_619] :
( m2_relset_1(k4_lopclset(A_619),k2_zfmisc_1(k1_lopclset(A_619),k1_lopclset(A_619)),k1_lopclset(A_619))
| ~ l1_pre_topc(A_619)
| ~ v2_pre_topc(A_619)
| v3_struct_0(A_619) ),
inference(cnfTransformation,[status(thm)],[f_498]) ).
tff(c_5209,plain,
( m2_relset_1(k4_lopclset('#skF_1'),k2_zfmisc_1(a_1_0_lopclset('#skF_1'),k1_lopclset('#skF_1')),k1_lopclset('#skF_1'))
| ~ l1_pre_topc('#skF_1')
| ~ v2_pre_topc('#skF_1')
| v3_struct_0('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_2093,c_5200]) ).
tff(c_5219,plain,
( m2_relset_1(k4_lopclset('#skF_1'),k2_zfmisc_1(a_1_0_lopclset('#skF_1'),a_1_0_lopclset('#skF_1')),a_1_0_lopclset('#skF_1'))
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_4,c_2093,c_2093,c_5209]) ).
tff(c_5220,plain,
m2_relset_1(k4_lopclset('#skF_1'),k2_zfmisc_1(a_1_0_lopclset('#skF_1'),a_1_0_lopclset('#skF_1')),a_1_0_lopclset('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_8,c_5219]) ).
tff(c_52,plain,
! [C_23,A_21,B_22] :
( m1_relset_1(C_23,A_21,B_22)
| ~ m2_relset_1(C_23,A_21,B_22) ),
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_5234,plain,
m1_relset_1(k4_lopclset('#skF_1'),k2_zfmisc_1(a_1_0_lopclset('#skF_1'),a_1_0_lopclset('#skF_1')),a_1_0_lopclset('#skF_1')),
inference(resolution,[status(thm)],[c_5220,c_52]) ).
tff(c_174,plain,
v1_xboole_0(k1_xboole_0),
inference(cnfTransformation,[status(thm)],[f_353]) ).
tff(c_3394,plain,
! [A_531,B_532] :
( r2_hidden('#skF_21'(A_531,B_532),B_532)
| r2_hidden('#skF_22'(A_531,B_532),A_531)
| ( B_532 = A_531 ) ),
inference(cnfTransformation,[status(thm)],[f_653]) ).
tff(c_332,plain,
! [B_129,A_128] :
( ~ v1_xboole_0(B_129)
| ~ r2_hidden(A_128,B_129) ),
inference(cnfTransformation,[status(thm)],[f_638]) ).
tff(c_3909,plain,
! [A_579,B_580] :
( ~ v1_xboole_0(A_579)
| r2_hidden('#skF_21'(A_579,B_580),B_580)
| ( B_580 = A_579 ) ),
inference(resolution,[status(thm)],[c_3394,c_332]) ).
tff(c_356,plain,
! [A_140] : m1_subset_1('#skF_25'(A_140),A_140),
inference(cnfTransformation,[status(thm)],[f_674]) ).
tff(c_2170,plain,
! [C_438,B_439,A_440] :
( ~ v1_xboole_0(C_438)
| ~ m1_subset_1(B_439,k1_zfmisc_1(C_438))
| ~ r2_hidden(A_440,B_439) ),
inference(cnfTransformation,[status(thm)],[f_442]) ).
tff(c_2186,plain,
! [C_438,A_440] :
( ~ v1_xboole_0(C_438)
| ~ r2_hidden(A_440,'#skF_25'(k1_zfmisc_1(C_438))) ),
inference(resolution,[status(thm)],[c_356,c_2170]) ).
tff(c_3964,plain,
! [C_582,A_583] :
( ~ v1_xboole_0(C_582)
| ~ v1_xboole_0(A_583)
| ( A_583 = '#skF_25'(k1_zfmisc_1(C_582)) ) ),
inference(resolution,[status(thm)],[c_3909,c_2186]) ).
tff(c_3968,plain,
! [C_584] :
( ~ v1_xboole_0(C_584)
| ( '#skF_25'(k1_zfmisc_1(C_584)) = k1_xboole_0 ) ),
inference(resolution,[status(thm)],[c_174,c_3964]) ).
tff(c_891,plain,
! [C_282,A_283,B_284] :
( v1_relat_1(C_282)
| ~ m1_subset_1(C_282,k1_zfmisc_1(k2_zfmisc_1(A_283,B_284))) ),
inference(cnfTransformation,[status(thm)],[f_222]) ).
tff(c_911,plain,
! [A_283,B_284] : v1_relat_1('#skF_25'(k1_zfmisc_1(k2_zfmisc_1(A_283,B_284)))),
inference(resolution,[status(thm)],[c_356,c_891]) ).
tff(c_4028,plain,
! [A_283,B_284] :
( v1_relat_1(k1_xboole_0)
| ~ v1_xboole_0(k2_zfmisc_1(A_283,B_284)) ),
inference(superposition,[status(thm),theory(equality)],[c_3968,c_911]) ).
tff(c_4443,plain,
! [A_283,B_284] : ~ v1_xboole_0(k2_zfmisc_1(A_283,B_284)),
inference(splitLeft,[status(thm)],[c_4028]) ).
tff(c_5236,plain,
! [A_620] :
( v1_funct_2(k4_lopclset(A_620),k2_zfmisc_1(k1_lopclset(A_620),k1_lopclset(A_620)),k1_lopclset(A_620))
| ~ l1_pre_topc(A_620)
| ~ v2_pre_topc(A_620)
| v3_struct_0(A_620) ),
inference(cnfTransformation,[status(thm)],[f_498]) ).
tff(c_5239,plain,
( v1_funct_2(k4_lopclset('#skF_1'),k2_zfmisc_1(a_1_0_lopclset('#skF_1'),k1_lopclset('#skF_1')),k1_lopclset('#skF_1'))
| ~ l1_pre_topc('#skF_1')
| ~ v2_pre_topc('#skF_1')
| v3_struct_0('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_2093,c_5236]) ).
tff(c_5247,plain,
( v1_funct_2(k4_lopclset('#skF_1'),k2_zfmisc_1(a_1_0_lopclset('#skF_1'),a_1_0_lopclset('#skF_1')),a_1_0_lopclset('#skF_1'))
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_4,c_2093,c_2093,c_5239]) ).
tff(c_5248,plain,
v1_funct_2(k4_lopclset('#skF_1'),k2_zfmisc_1(a_1_0_lopclset('#skF_1'),a_1_0_lopclset('#skF_1')),a_1_0_lopclset('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_8,c_5247]) ).
tff(c_5576,plain,
! [C_629,A_630,B_631] :
( ~ v1_xboole_0(C_629)
| ~ v1_funct_2(C_629,A_630,B_631)
| ~ v1_funct_1(C_629)
| ~ m1_relset_1(C_629,A_630,B_631)
| v1_xboole_0(B_631)
| v1_xboole_0(A_630) ),
inference(cnfTransformation,[status(thm)],[f_316]) ).
tff(c_5585,plain,
( ~ v1_xboole_0(k4_lopclset('#skF_1'))
| ~ v1_funct_1(k4_lopclset('#skF_1'))
| ~ m1_relset_1(k4_lopclset('#skF_1'),k2_zfmisc_1(a_1_0_lopclset('#skF_1'),a_1_0_lopclset('#skF_1')),a_1_0_lopclset('#skF_1'))
| v1_xboole_0(a_1_0_lopclset('#skF_1'))
| v1_xboole_0(k2_zfmisc_1(a_1_0_lopclset('#skF_1'),a_1_0_lopclset('#skF_1'))) ),
inference(resolution,[status(thm)],[c_5248,c_5576]) ).
tff(c_5606,plain,
( ~ v1_xboole_0(k4_lopclset('#skF_1'))
| ~ v1_funct_1(k4_lopclset('#skF_1'))
| ~ m1_relset_1(k4_lopclset('#skF_1'),k2_zfmisc_1(a_1_0_lopclset('#skF_1'),a_1_0_lopclset('#skF_1')),a_1_0_lopclset('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_4443,c_2105,c_5585]) ).
tff(c_7188,plain,
( ~ v1_xboole_0(k4_lopclset('#skF_1'))
| ~ v1_funct_1(k4_lopclset('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_5234,c_5606]) ).
tff(c_7189,plain,
~ v1_funct_1(k4_lopclset('#skF_1')),
inference(splitLeft,[status(thm)],[c_7188]) ).
tff(c_7192,plain,
( ~ l1_pre_topc('#skF_1')
| ~ v2_pre_topc('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_260,c_7189]) ).
tff(c_7195,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_4,c_7192]) ).
tff(c_7197,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8,c_7195]) ).
tff(c_7199,plain,
v1_funct_1(k4_lopclset('#skF_1')),
inference(splitRight,[status(thm)],[c_7188]) ).
tff(c_5150,plain,
! [A_614] :
( ( g3_lattices(k1_lopclset(A_614),k4_lopclset(A_614),k5_lopclset(A_614)) = k6_lopclset(A_614) )
| ~ l1_pre_topc(A_614)
| ~ v2_pre_topc(A_614)
| v3_struct_0(A_614) ),
inference(cnfTransformation,[status(thm)],[f_785]) ).
tff(c_5159,plain,
( ( g3_lattices(a_1_0_lopclset('#skF_1'),k4_lopclset('#skF_1'),k5_lopclset('#skF_1')) = k6_lopclset('#skF_1') )
| ~ l1_pre_topc('#skF_1')
| ~ v2_pre_topc('#skF_1')
| v3_struct_0('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_2093,c_5150]) ).
tff(c_5163,plain,
( ( g3_lattices(a_1_0_lopclset('#skF_1'),k4_lopclset('#skF_1'),k5_lopclset('#skF_1')) = k6_lopclset('#skF_1') )
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_4,c_5159]) ).
tff(c_5164,plain,
g3_lattices(a_1_0_lopclset('#skF_1'),k4_lopclset('#skF_1'),k5_lopclset('#skF_1')) = k6_lopclset('#skF_1'),
inference(negUnitSimplification,[status(thm)],[c_8,c_5163]) ).
tff(c_266,plain,
! [A_110] :
( v1_funct_1(k5_lopclset(A_110))
| ~ l1_pre_topc(A_110)
| ~ v2_pre_topc(A_110)
| v3_struct_0(A_110) ),
inference(cnfTransformation,[status(thm)],[f_511]) ).
tff(c_5275,plain,
! [A_623] :
( m2_relset_1(k5_lopclset(A_623),k2_zfmisc_1(k1_lopclset(A_623),k1_lopclset(A_623)),k1_lopclset(A_623))
| ~ l1_pre_topc(A_623)
| ~ v2_pre_topc(A_623)
| v3_struct_0(A_623) ),
inference(cnfTransformation,[status(thm)],[f_511]) ).
tff(c_5284,plain,
( m2_relset_1(k5_lopclset('#skF_1'),k2_zfmisc_1(a_1_0_lopclset('#skF_1'),k1_lopclset('#skF_1')),k1_lopclset('#skF_1'))
| ~ l1_pre_topc('#skF_1')
| ~ v2_pre_topc('#skF_1')
| v3_struct_0('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_2093,c_5275]) ).
tff(c_5294,plain,
( m2_relset_1(k5_lopclset('#skF_1'),k2_zfmisc_1(a_1_0_lopclset('#skF_1'),a_1_0_lopclset('#skF_1')),a_1_0_lopclset('#skF_1'))
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_4,c_2093,c_2093,c_5284]) ).
tff(c_5295,plain,
m2_relset_1(k5_lopclset('#skF_1'),k2_zfmisc_1(a_1_0_lopclset('#skF_1'),a_1_0_lopclset('#skF_1')),a_1_0_lopclset('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_8,c_5294]) ).
tff(c_5309,plain,
m1_relset_1(k5_lopclset('#skF_1'),k2_zfmisc_1(a_1_0_lopclset('#skF_1'),a_1_0_lopclset('#skF_1')),a_1_0_lopclset('#skF_1')),
inference(resolution,[status(thm)],[c_5295,c_52]) ).
tff(c_5256,plain,
! [A_622] :
( v1_funct_2(k5_lopclset(A_622),k2_zfmisc_1(k1_lopclset(A_622),k1_lopclset(A_622)),k1_lopclset(A_622))
| ~ l1_pre_topc(A_622)
| ~ v2_pre_topc(A_622)
| v3_struct_0(A_622) ),
inference(cnfTransformation,[status(thm)],[f_511]) ).
tff(c_5265,plain,
( v1_funct_2(k5_lopclset('#skF_1'),k2_zfmisc_1(k1_lopclset('#skF_1'),k1_lopclset('#skF_1')),a_1_0_lopclset('#skF_1'))
| ~ l1_pre_topc('#skF_1')
| ~ v2_pre_topc('#skF_1')
| v3_struct_0('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_2093,c_5256]) ).
tff(c_5273,plain,
( v1_funct_2(k5_lopclset('#skF_1'),k2_zfmisc_1(a_1_0_lopclset('#skF_1'),a_1_0_lopclset('#skF_1')),a_1_0_lopclset('#skF_1'))
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_4,c_2093,c_2093,c_5265]) ).
tff(c_5274,plain,
v1_funct_2(k5_lopclset('#skF_1'),k2_zfmisc_1(a_1_0_lopclset('#skF_1'),a_1_0_lopclset('#skF_1')),a_1_0_lopclset('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_8,c_5273]) ).
tff(c_5579,plain,
( ~ v1_xboole_0(k5_lopclset('#skF_1'))
| ~ v1_funct_1(k5_lopclset('#skF_1'))
| ~ m1_relset_1(k5_lopclset('#skF_1'),k2_zfmisc_1(a_1_0_lopclset('#skF_1'),a_1_0_lopclset('#skF_1')),a_1_0_lopclset('#skF_1'))
| v1_xboole_0(a_1_0_lopclset('#skF_1'))
| v1_xboole_0(k2_zfmisc_1(a_1_0_lopclset('#skF_1'),a_1_0_lopclset('#skF_1'))) ),
inference(resolution,[status(thm)],[c_5274,c_5576]) ).
tff(c_5600,plain,
( ~ v1_xboole_0(k5_lopclset('#skF_1'))
| ~ v1_funct_1(k5_lopclset('#skF_1'))
| ~ m1_relset_1(k5_lopclset('#skF_1'),k2_zfmisc_1(a_1_0_lopclset('#skF_1'),a_1_0_lopclset('#skF_1')),a_1_0_lopclset('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_4443,c_2105,c_5579]) ).
tff(c_7145,plain,
( ~ v1_xboole_0(k5_lopclset('#skF_1'))
| ~ v1_funct_1(k5_lopclset('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_5309,c_5600]) ).
tff(c_7146,plain,
~ v1_funct_1(k5_lopclset('#skF_1')),
inference(splitLeft,[status(thm)],[c_7145]) ).
tff(c_7149,plain,
( ~ l1_pre_topc('#skF_1')
| ~ v2_pre_topc('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_266,c_7146]) ).
tff(c_7152,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_4,c_7149]) ).
tff(c_7154,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8,c_7152]) ).
tff(c_7156,plain,
v1_funct_1(k5_lopclset('#skF_1')),
inference(splitRight,[status(thm)],[c_7145]) ).
tff(c_5812,plain,
! [A_660,B_661,C_662] :
( l3_lattices(g3_lattices(A_660,B_661,C_662))
| ~ m1_relset_1(C_662,k2_zfmisc_1(A_660,A_660),A_660)
| ~ v1_funct_2(C_662,k2_zfmisc_1(A_660,A_660),A_660)
| ~ v1_funct_1(C_662)
| ~ m1_relset_1(B_661,k2_zfmisc_1(A_660,A_660),A_660)
| ~ v1_funct_2(B_661,k2_zfmisc_1(A_660,A_660),A_660)
| ~ v1_funct_1(B_661) ),
inference(cnfTransformation,[status(thm)],[f_485]) ).
tff(c_5828,plain,
! [B_661] :
( l3_lattices(g3_lattices(a_1_0_lopclset('#skF_1'),B_661,k5_lopclset('#skF_1')))
| ~ m1_relset_1(k5_lopclset('#skF_1'),k2_zfmisc_1(a_1_0_lopclset('#skF_1'),a_1_0_lopclset('#skF_1')),a_1_0_lopclset('#skF_1'))
| ~ v1_funct_1(k5_lopclset('#skF_1'))
| ~ m1_relset_1(B_661,k2_zfmisc_1(a_1_0_lopclset('#skF_1'),a_1_0_lopclset('#skF_1')),a_1_0_lopclset('#skF_1'))
| ~ v1_funct_2(B_661,k2_zfmisc_1(a_1_0_lopclset('#skF_1'),a_1_0_lopclset('#skF_1')),a_1_0_lopclset('#skF_1'))
| ~ v1_funct_1(B_661) ),
inference(resolution,[status(thm)],[c_5274,c_5812]) ).
tff(c_8440,plain,
! [B_967] :
( l3_lattices(g3_lattices(a_1_0_lopclset('#skF_1'),B_967,k5_lopclset('#skF_1')))
| ~ m1_relset_1(B_967,k2_zfmisc_1(a_1_0_lopclset('#skF_1'),a_1_0_lopclset('#skF_1')),a_1_0_lopclset('#skF_1'))
| ~ v1_funct_2(B_967,k2_zfmisc_1(a_1_0_lopclset('#skF_1'),a_1_0_lopclset('#skF_1')),a_1_0_lopclset('#skF_1'))
| ~ v1_funct_1(B_967) ),
inference(demodulation,[status(thm),theory(equality)],[c_7156,c_5309,c_5828]) ).
tff(c_8446,plain,
( l3_lattices(g3_lattices(a_1_0_lopclset('#skF_1'),k4_lopclset('#skF_1'),k5_lopclset('#skF_1')))
| ~ m1_relset_1(k4_lopclset('#skF_1'),k2_zfmisc_1(a_1_0_lopclset('#skF_1'),a_1_0_lopclset('#skF_1')),a_1_0_lopclset('#skF_1'))
| ~ v1_funct_1(k4_lopclset('#skF_1')) ),
inference(resolution,[status(thm)],[c_5248,c_8440]) ).
tff(c_8456,plain,
l3_lattices(k6_lopclset('#skF_1')),
inference(demodulation,[status(thm),theory(equality)],[c_7199,c_5234,c_5164,c_8446]) ).
tff(c_5965,plain,
! [A_673,B_674,C_675] :
( v3_lattices(g3_lattices(A_673,B_674,C_675))
| ~ m1_relset_1(C_675,k2_zfmisc_1(A_673,A_673),A_673)
| ~ v1_funct_2(C_675,k2_zfmisc_1(A_673,A_673),A_673)
| ~ v1_funct_1(C_675)
| ~ m1_relset_1(B_674,k2_zfmisc_1(A_673,A_673),A_673)
| ~ v1_funct_2(B_674,k2_zfmisc_1(A_673,A_673),A_673)
| ~ v1_funct_1(B_674) ),
inference(cnfTransformation,[status(thm)],[f_485]) ).
tff(c_5981,plain,
! [B_674] :
( v3_lattices(g3_lattices(a_1_0_lopclset('#skF_1'),B_674,k5_lopclset('#skF_1')))
| ~ m1_relset_1(k5_lopclset('#skF_1'),k2_zfmisc_1(a_1_0_lopclset('#skF_1'),a_1_0_lopclset('#skF_1')),a_1_0_lopclset('#skF_1'))
| ~ v1_funct_1(k5_lopclset('#skF_1'))
| ~ m1_relset_1(B_674,k2_zfmisc_1(a_1_0_lopclset('#skF_1'),a_1_0_lopclset('#skF_1')),a_1_0_lopclset('#skF_1'))
| ~ v1_funct_2(B_674,k2_zfmisc_1(a_1_0_lopclset('#skF_1'),a_1_0_lopclset('#skF_1')),a_1_0_lopclset('#skF_1'))
| ~ v1_funct_1(B_674) ),
inference(resolution,[status(thm)],[c_5274,c_5965]) ).
tff(c_8491,plain,
! [B_969] :
( v3_lattices(g3_lattices(a_1_0_lopclset('#skF_1'),B_969,k5_lopclset('#skF_1')))
| ~ m1_relset_1(B_969,k2_zfmisc_1(a_1_0_lopclset('#skF_1'),a_1_0_lopclset('#skF_1')),a_1_0_lopclset('#skF_1'))
| ~ v1_funct_2(B_969,k2_zfmisc_1(a_1_0_lopclset('#skF_1'),a_1_0_lopclset('#skF_1')),a_1_0_lopclset('#skF_1'))
| ~ v1_funct_1(B_969) ),
inference(demodulation,[status(thm),theory(equality)],[c_7156,c_5309,c_5981]) ).
tff(c_8497,plain,
( v3_lattices(g3_lattices(a_1_0_lopclset('#skF_1'),k4_lopclset('#skF_1'),k5_lopclset('#skF_1')))
| ~ m1_relset_1(k4_lopclset('#skF_1'),k2_zfmisc_1(a_1_0_lopclset('#skF_1'),a_1_0_lopclset('#skF_1')),a_1_0_lopclset('#skF_1'))
| ~ v1_funct_1(k4_lopclset('#skF_1')) ),
inference(resolution,[status(thm)],[c_5248,c_8491]) ).
tff(c_8507,plain,
v3_lattices(k6_lopclset('#skF_1')),
inference(demodulation,[status(thm),theory(equality)],[c_7199,c_5234,c_5164,c_8497]) ).
tff(c_42,plain,
! [A_14] :
( ( g3_lattices(u1_struct_0(A_14),u2_lattices(A_14),u1_lattices(A_14)) = A_14 )
| ~ v3_lattices(A_14)
| ~ l3_lattices(A_14) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_6609,plain,
! [B_707,A_706,E_708,F_705,C_703,D_704] :
( ( D_704 = A_706 )
| ( g3_lattices(D_704,E_708,F_705) != g3_lattices(A_706,B_707,C_703) )
| ~ m1_relset_1(C_703,k2_zfmisc_1(A_706,A_706),A_706)
| ~ v1_funct_2(C_703,k2_zfmisc_1(A_706,A_706),A_706)
| ~ v1_funct_1(C_703)
| ~ m1_relset_1(B_707,k2_zfmisc_1(A_706,A_706),A_706)
| ~ v1_funct_2(B_707,k2_zfmisc_1(A_706,A_706),A_706)
| ~ v1_funct_1(B_707) ),
inference(cnfTransformation,[status(thm)],[f_463]) ).
tff(c_6613,plain,
! [D_704,E_708,F_705] :
( ( a_1_0_lopclset('#skF_1') = D_704 )
| ( g3_lattices(D_704,E_708,F_705) != k6_lopclset('#skF_1') )
| ~ m1_relset_1(k5_lopclset('#skF_1'),k2_zfmisc_1(a_1_0_lopclset('#skF_1'),a_1_0_lopclset('#skF_1')),a_1_0_lopclset('#skF_1'))
| ~ v1_funct_2(k5_lopclset('#skF_1'),k2_zfmisc_1(a_1_0_lopclset('#skF_1'),a_1_0_lopclset('#skF_1')),a_1_0_lopclset('#skF_1'))
| ~ v1_funct_1(k5_lopclset('#skF_1'))
| ~ m1_relset_1(k4_lopclset('#skF_1'),k2_zfmisc_1(a_1_0_lopclset('#skF_1'),a_1_0_lopclset('#skF_1')),a_1_0_lopclset('#skF_1'))
| ~ v1_funct_2(k4_lopclset('#skF_1'),k2_zfmisc_1(a_1_0_lopclset('#skF_1'),a_1_0_lopclset('#skF_1')),a_1_0_lopclset('#skF_1'))
| ~ v1_funct_1(k4_lopclset('#skF_1')) ),
inference(superposition,[status(thm),theory(equality)],[c_5164,c_6609]) ).
tff(c_6623,plain,
! [D_704,E_708,F_705] :
( ( a_1_0_lopclset('#skF_1') = D_704 )
| ( g3_lattices(D_704,E_708,F_705) != k6_lopclset('#skF_1') )
| ~ m1_relset_1(k5_lopclset('#skF_1'),k2_zfmisc_1(a_1_0_lopclset('#skF_1'),a_1_0_lopclset('#skF_1')),a_1_0_lopclset('#skF_1'))
| ~ v1_funct_1(k5_lopclset('#skF_1'))
| ~ m1_relset_1(k4_lopclset('#skF_1'),k2_zfmisc_1(a_1_0_lopclset('#skF_1'),a_1_0_lopclset('#skF_1')),a_1_0_lopclset('#skF_1'))
| ~ v1_funct_1(k4_lopclset('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_5248,c_5274,c_6613]) ).
tff(c_10022,plain,
! [D_1091,E_1092,F_1093] :
( ( a_1_0_lopclset('#skF_1') = D_1091 )
| ( g3_lattices(D_1091,E_1092,F_1093) != k6_lopclset('#skF_1') ) ),
inference(demodulation,[status(thm),theory(equality)],[c_7199,c_5234,c_7156,c_5309,c_6623]) ).
tff(c_10557,plain,
! [A_1117] :
( ( u1_struct_0(A_1117) = a_1_0_lopclset('#skF_1') )
| ( k6_lopclset('#skF_1') != A_1117 )
| ~ v3_lattices(A_1117)
| ~ l3_lattices(A_1117) ),
inference(superposition,[status(thm),theory(equality)],[c_42,c_10022]) ).
tff(c_10569,plain,
( ( u1_struct_0(k6_lopclset('#skF_1')) = a_1_0_lopclset('#skF_1') )
| ~ l3_lattices(k6_lopclset('#skF_1')) ),
inference(resolution,[status(thm)],[c_8507,c_10557]) ).
tff(c_10590,plain,
u1_struct_0(k6_lopclset('#skF_1')) = a_1_0_lopclset('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_8456,c_10569]) ).
tff(c_2,plain,
~ m1_subset_1(k2_pre_topc('#skF_1'),u1_struct_0(k6_lopclset('#skF_1'))),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_10605,plain,
~ m1_subset_1(k2_pre_topc('#skF_1'),a_1_0_lopclset('#skF_1')),
inference(demodulation,[status(thm),theory(equality)],[c_10590,c_2]) ).
tff(c_10608,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4714,c_10605]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : LAT286+1 : TPTP v8.1.2. Released v3.4.0.
% 0.12/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.34 % Computer : n022.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 12:52:03 EDT 2023
% 0.14/0.34 % CPUTime :
% 16.74/5.84 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.04/5.86
% 17.04/5.86 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 17.04/5.91
% 17.04/5.91 Inference rules
% 17.04/5.91 ----------------------
% 17.04/5.91 #Ref : 3
% 17.04/5.91 #Sup : 2285
% 17.04/5.91 #Fact : 0
% 17.04/5.91 #Define : 0
% 17.04/5.91 #Split : 49
% 17.04/5.91 #Chain : 0
% 17.04/5.91 #Close : 0
% 17.04/5.91
% 17.04/5.91 Ordering : KBO
% 17.04/5.91
% 17.04/5.91 Simplification rules
% 17.04/5.91 ----------------------
% 17.04/5.91 #Subsume : 1055
% 17.04/5.91 #Demod : 490
% 17.04/5.91 #Tautology : 202
% 17.04/5.91 #SimpNegUnit : 185
% 17.04/5.91 #BackRed : 120
% 17.04/5.91
% 17.04/5.91 #Partial instantiations: 0
% 17.04/5.91 #Strategies tried : 1
% 17.04/5.91
% 17.04/5.91 Timing (in seconds)
% 17.04/5.91 ----------------------
% 17.04/5.91 Preprocessing : 0.81
% 17.04/5.92 Parsing : 0.41
% 17.04/5.92 CNF conversion : 0.07
% 17.04/5.92 Main loop : 3.91
% 17.04/5.92 Inferencing : 1.27
% 17.04/5.92 Reduction : 1.36
% 17.04/5.92 Demodulation : 0.88
% 17.04/5.92 BG Simplification : 0.08
% 17.04/5.92 Subsumption : 0.89
% 17.04/5.92 Abstraction : 0.06
% 17.04/5.92 MUC search : 0.00
% 17.04/5.92 Cooper : 0.00
% 17.04/5.92 Total : 4.80
% 17.04/5.92 Index Insertion : 0.00
% 17.04/5.92 Index Deletion : 0.00
% 17.04/5.92 Index Matching : 0.00
% 17.04/5.92 BG Taut test : 0.00
%------------------------------------------------------------------------------