TSTP Solution File: LAT287+1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LAT287+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 : n020.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 19.88s 7.45s
% Output : CNFRefutation 19.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 99
% Syntax : Number of formulae : 206 ( 35 unt; 81 typ; 0 def)
% Number of atoms : 402 ( 55 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 477 ( 200 ~; 209 |; 46 &)
% ( 2 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 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 : 115 (; 115 !; 0 ?; 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 > k1_zfmisc_1 > k1_pre_topc > k1_lopclset > a_1_0_lopclset > k1_xboole_0 > #skF_25 > #skF_22 > #skF_6 > #skF_18 > #skF_17 > #skF_26 > #skF_11 > #skF_19 > #skF_3 > #skF_16 > #skF_15 > #skF_5 > #skF_10 > #skF_13 > #skF_1 > #skF_9 > #skF_8 > #skF_23 > #skF_4 > #skF_14 > #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 ).
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(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(k4_lopclset,type,
k4_lopclset: $i > $i ).
tff(k1_pre_topc,type,
k1_pre_topc: $i > $i ).
tff(l1_pre_topc,type,
l1_pre_topc: $i > $o ).
tff(l1_lattices,type,
l1_lattices: $i > $o ).
tff('#skF_19',type,
'#skF_19': $i ).
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_15',type,
'#skF_15': $i > $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('#skF_14',type,
'#skF_14': $i > $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('#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_755,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(k1_pre_topc(A),u1_struct_0(k6_lopclset(A))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_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_765,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_711,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_733,axiom,
! [A] :
( l1_pre_topc(A)
=> l1_struct_0(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
tff(f_605,axiom,
! [A] :
( l1_struct_0(A)
=> ( v1_xboole_0(k1_pre_topc(A))
& v1_membered(k1_pre_topc(A))
& v2_membered(k1_pre_topc(A))
& v3_membered(k1_pre_topc(A))
& v4_membered(k1_pre_topc(A))
& v5_membered(k1_pre_topc(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_pre_topc) ).
tff(f_639,axiom,
! [A] :
( v1_xboole_0(A)
=> ( A = k1_xboole_0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
tff(f_794,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v2_pre_topc(A)
& l1_pre_topc(A) )
=> m2_subset_1(k1_pre_topc(A),k1_zfmisc_1(u1_struct_0(A)),k1_lopclset(A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_lopclset) ).
tff(f_704,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_522,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_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_535,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_509,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_487,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_394,plain,
! [A_157] : ~ v1_xboole_0(k1_zfmisc_1(A_157)),
inference(cnfTransformation,[status(thm)],[f_755]) ).
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_1502,plain,
! [A_312] :
( ( k1_lopclset(A_312) = a_1_0_lopclset(A_312) )
| ~ l1_pre_topc(A_312)
| v3_struct_0(A_312) ),
inference(cnfTransformation,[status(thm)],[f_776]) ).
tff(c_1508,plain,
( ( k1_lopclset('#skF_1') = a_1_0_lopclset('#skF_1') )
| ~ l1_pre_topc('#skF_1') ),
inference(resolution,[status(thm)],[c_1502,c_8]) ).
tff(c_1518,plain,
k1_lopclset('#skF_1') = a_1_0_lopclset('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1508]) ).
tff(c_4371,plain,
! [A_436] :
( ~ v1_xboole_0(k1_lopclset(A_436))
| ~ l1_pre_topc(A_436)
| ~ v2_pre_topc(A_436)
| v3_struct_0(A_436) ),
inference(cnfTransformation,[status(thm)],[f_765]) ).
tff(c_4374,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_1518,c_4371]) ).
tff(c_4376,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_4374]) ).
tff(c_4377,plain,
~ v1_xboole_0(a_1_0_lopclset('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_8,c_4376]) ).
tff(c_4971,plain,
! [A_460] :
( m1_subset_1(k1_lopclset(A_460),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A_460))))
| ~ l1_pre_topc(A_460)
| v3_struct_0(A_460) ),
inference(cnfTransformation,[status(thm)],[f_711]) ).
tff(c_5074,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_1518,c_4971]) ).
tff(c_5110,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_5074]) ).
tff(c_5111,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_5110]) ).
tff(c_386,plain,
! [A_152] :
( l1_struct_0(A_152)
| ~ l1_pre_topc(A_152) ),
inference(cnfTransformation,[status(thm)],[f_733]) ).
tff(c_573,plain,
! [A_196] :
( v1_xboole_0(k1_pre_topc(A_196))
| ~ l1_struct_0(A_196) ),
inference(cnfTransformation,[status(thm)],[f_605]) ).
tff(c_340,plain,
! [A_127] :
( ( k1_xboole_0 = A_127 )
| ~ v1_xboole_0(A_127) ),
inference(cnfTransformation,[status(thm)],[f_639]) ).
tff(c_621,plain,
! [A_212] :
( ( k1_pre_topc(A_212) = k1_xboole_0 )
| ~ l1_struct_0(A_212) ),
inference(resolution,[status(thm)],[c_573,c_340]) ).
tff(c_943,plain,
! [A_219] :
( ( k1_pre_topc(A_219) = k1_xboole_0 )
| ~ l1_pre_topc(A_219) ),
inference(resolution,[status(thm)],[c_386,c_621]) ).
tff(c_950,plain,
k1_pre_topc('#skF_1') = k1_xboole_0,
inference(resolution,[status(thm)],[c_4,c_943]) ).
tff(c_6435,plain,
! [A_496] :
( m2_subset_1(k1_pre_topc(A_496),k1_zfmisc_1(u1_struct_0(A_496)),k1_lopclset(A_496))
| ~ l1_pre_topc(A_496)
| ~ v2_pre_topc(A_496)
| v3_struct_0(A_496) ),
inference(cnfTransformation,[status(thm)],[f_794]) ).
tff(c_6438,plain,
( m2_subset_1(k1_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_1518,c_6435]) ).
tff(c_6470,plain,
( m2_subset_1(k1_xboole_0,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_950,c_6438]) ).
tff(c_6471,plain,
m2_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0('#skF_1')),a_1_0_lopclset('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_8,c_6470]) ).
tff(c_7416,plain,
! [C_533,B_534,A_535] :
( m1_subset_1(C_533,B_534)
| ~ m2_subset_1(C_533,A_535,B_534)
| ~ m1_subset_1(B_534,k1_zfmisc_1(A_535))
| v1_xboole_0(B_534)
| v1_xboole_0(A_535) ),
inference(cnfTransformation,[status(thm)],[f_704]) ).
tff(c_7418,plain,
( m1_subset_1(k1_xboole_0,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_6471,c_7416]) ).
tff(c_7425,plain,
( m1_subset_1(k1_xboole_0,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_5111,c_7418]) ).
tff(c_7426,plain,
m1_subset_1(k1_xboole_0,a_1_0_lopclset('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_394,c_4377,c_7425]) ).
tff(c_270,plain,
! [A_113] :
( v1_funct_1(k4_lopclset(A_113))
| ~ l1_pre_topc(A_113)
| ~ v2_pre_topc(A_113)
| v3_struct_0(A_113) ),
inference(cnfTransformation,[status(thm)],[f_522]) ).
tff(c_7679,plain,
! [A_541] :
( m2_relset_1(k4_lopclset(A_541),k2_zfmisc_1(k1_lopclset(A_541),k1_lopclset(A_541)),k1_lopclset(A_541))
| ~ l1_pre_topc(A_541)
| ~ v2_pre_topc(A_541)
| v3_struct_0(A_541) ),
inference(cnfTransformation,[status(thm)],[f_522]) ).
tff(c_7691,plain,
( m2_relset_1(k4_lopclset('#skF_1'),k2_zfmisc_1(k1_lopclset('#skF_1'),a_1_0_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_1518,c_7679]) ).
tff(c_7701,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_1518,c_1518,c_7691]) ).
tff(c_7702,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_7701]) ).
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_7713,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_7702,c_52]) ).
tff(c_7847,plain,
! [A_568] :
( v1_funct_2(k4_lopclset(A_568),k2_zfmisc_1(k1_lopclset(A_568),k1_lopclset(A_568)),k1_lopclset(A_568))
| ~ l1_pre_topc(A_568)
| ~ v2_pre_topc(A_568)
| v3_struct_0(A_568) ),
inference(cnfTransformation,[status(thm)],[f_522]) ).
tff(c_7856,plain,
( v1_funct_2(k4_lopclset('#skF_1'),k2_zfmisc_1(k1_lopclset('#skF_1'),a_1_0_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_1518,c_7847]) ).
tff(c_7865,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_1518,c_1518,c_7856]) ).
tff(c_7866,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_7865]) ).
tff(c_154,plain,
! [C_77,A_74,B_75] :
( ~ v1_xboole_0(C_77)
| ~ v1_funct_2(C_77,A_74,B_75)
| ~ v1_funct_1(C_77)
| ~ m1_relset_1(C_77,A_74,B_75)
| v1_xboole_0(B_75)
| v1_xboole_0(A_74) ),
inference(cnfTransformation,[status(thm)],[f_316]) ).
tff(c_8229,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_7866,c_154]) ).
tff(c_8232,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(k2_zfmisc_1(a_1_0_lopclset('#skF_1'),a_1_0_lopclset('#skF_1'))) ),
inference(negUnitSimplification,[status(thm)],[c_4377,c_8229]) ).
tff(c_9220,plain,
( ~ v1_xboole_0(k4_lopclset('#skF_1'))
| ~ v1_funct_1(k4_lopclset('#skF_1'))
| v1_xboole_0(k2_zfmisc_1(a_1_0_lopclset('#skF_1'),a_1_0_lopclset('#skF_1'))) ),
inference(demodulation,[status(thm),theory(equality)],[c_7713,c_8232]) ).
tff(c_9221,plain,
~ v1_funct_1(k4_lopclset('#skF_1')),
inference(splitLeft,[status(thm)],[c_9220]) ).
tff(c_9224,plain,
( ~ l1_pre_topc('#skF_1')
| ~ v2_pre_topc('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_270,c_9221]) ).
tff(c_9227,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_4,c_9224]) ).
tff(c_9229,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8,c_9227]) ).
tff(c_9231,plain,
v1_funct_1(k4_lopclset('#skF_1')),
inference(splitRight,[status(thm)],[c_9220]) ).
tff(c_7003,plain,
! [A_507] :
( ( g3_lattices(k1_lopclset(A_507),k4_lopclset(A_507),k5_lopclset(A_507)) = k6_lopclset(A_507) )
| ~ l1_pre_topc(A_507)
| ~ v2_pre_topc(A_507)
| v3_struct_0(A_507) ),
inference(cnfTransformation,[status(thm)],[f_785]) ).
tff(c_7012,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_1518,c_7003]) ).
tff(c_7016,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_7012]) ).
tff(c_7017,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_7016]) ).
tff(c_276,plain,
! [A_114] :
( v1_funct_1(k5_lopclset(A_114))
| ~ l1_pre_topc(A_114)
| ~ v2_pre_topc(A_114)
| v3_struct_0(A_114) ),
inference(cnfTransformation,[status(thm)],[f_535]) ).
tff(c_7781,plain,
! [A_558] :
( m2_relset_1(k5_lopclset(A_558),k2_zfmisc_1(k1_lopclset(A_558),k1_lopclset(A_558)),k1_lopclset(A_558))
| ~ l1_pre_topc(A_558)
| ~ v2_pre_topc(A_558)
| v3_struct_0(A_558) ),
inference(cnfTransformation,[status(thm)],[f_535]) ).
tff(c_7790,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_1518,c_7781]) ).
tff(c_7800,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_1518,c_1518,c_7790]) ).
tff(c_7801,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_7800]) ).
tff(c_7826,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_7801,c_52]) ).
tff(c_7957,plain,
! [A_595] :
( v1_funct_2(k5_lopclset(A_595),k2_zfmisc_1(k1_lopclset(A_595),k1_lopclset(A_595)),k1_lopclset(A_595))
| ~ l1_pre_topc(A_595)
| ~ v2_pre_topc(A_595)
| v3_struct_0(A_595) ),
inference(cnfTransformation,[status(thm)],[f_535]) ).
tff(c_7966,plain,
( v1_funct_2(k5_lopclset('#skF_1'),k2_zfmisc_1(k1_lopclset('#skF_1'),a_1_0_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_1518,c_7957]) ).
tff(c_7975,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_1518,c_1518,c_7966]) ).
tff(c_7976,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_7975]) ).
tff(c_8346,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_7976,c_154]) ).
tff(c_8349,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(k2_zfmisc_1(a_1_0_lopclset('#skF_1'),a_1_0_lopclset('#skF_1'))) ),
inference(negUnitSimplification,[status(thm)],[c_4377,c_8346]) ).
tff(c_9130,plain,
( ~ v1_xboole_0(k5_lopclset('#skF_1'))
| ~ v1_funct_1(k5_lopclset('#skF_1'))
| v1_xboole_0(k2_zfmisc_1(a_1_0_lopclset('#skF_1'),a_1_0_lopclset('#skF_1'))) ),
inference(demodulation,[status(thm),theory(equality)],[c_7826,c_8349]) ).
tff(c_9131,plain,
~ v1_funct_1(k5_lopclset('#skF_1')),
inference(splitLeft,[status(thm)],[c_9130]) ).
tff(c_9134,plain,
( ~ l1_pre_topc('#skF_1')
| ~ v2_pre_topc('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_276,c_9131]) ).
tff(c_9137,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_4,c_9134]) ).
tff(c_9139,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8,c_9137]) ).
tff(c_9141,plain,
v1_funct_1(k5_lopclset('#skF_1')),
inference(splitRight,[status(thm)],[c_9130]) ).
tff(c_8397,plain,
! [A_619,B_620,C_621] :
( l3_lattices(g3_lattices(A_619,B_620,C_621))
| ~ m1_relset_1(C_621,k2_zfmisc_1(A_619,A_619),A_619)
| ~ v1_funct_2(C_621,k2_zfmisc_1(A_619,A_619),A_619)
| ~ v1_funct_1(C_621)
| ~ m1_relset_1(B_620,k2_zfmisc_1(A_619,A_619),A_619)
| ~ v1_funct_2(B_620,k2_zfmisc_1(A_619,A_619),A_619)
| ~ v1_funct_1(B_620) ),
inference(cnfTransformation,[status(thm)],[f_509]) ).
tff(c_8413,plain,
! [B_620] :
( l3_lattices(g3_lattices(a_1_0_lopclset('#skF_1'),B_620,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_620,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_620,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_620) ),
inference(resolution,[status(thm)],[c_7976,c_8397]) ).
tff(c_10634,plain,
! [B_715] :
( l3_lattices(g3_lattices(a_1_0_lopclset('#skF_1'),B_715,k5_lopclset('#skF_1')))
| ~ m1_relset_1(B_715,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_715,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_715) ),
inference(demodulation,[status(thm),theory(equality)],[c_9141,c_7826,c_8413]) ).
tff(c_10640,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_7866,c_10634]) ).
tff(c_10650,plain,
l3_lattices(k6_lopclset('#skF_1')),
inference(demodulation,[status(thm),theory(equality)],[c_9231,c_7713,c_7017,c_10640]) ).
tff(c_8356,plain,
! [A_616,B_617,C_618] :
( v3_lattices(g3_lattices(A_616,B_617,C_618))
| ~ m1_relset_1(C_618,k2_zfmisc_1(A_616,A_616),A_616)
| ~ v1_funct_2(C_618,k2_zfmisc_1(A_616,A_616),A_616)
| ~ v1_funct_1(C_618)
| ~ m1_relset_1(B_617,k2_zfmisc_1(A_616,A_616),A_616)
| ~ v1_funct_2(B_617,k2_zfmisc_1(A_616,A_616),A_616)
| ~ v1_funct_1(B_617) ),
inference(cnfTransformation,[status(thm)],[f_509]) ).
tff(c_8372,plain,
! [B_617] :
( v3_lattices(g3_lattices(a_1_0_lopclset('#skF_1'),B_617,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_617,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_617,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_617) ),
inference(resolution,[status(thm)],[c_7976,c_8356]) ).
tff(c_10316,plain,
! [B_708] :
( v3_lattices(g3_lattices(a_1_0_lopclset('#skF_1'),B_708,k5_lopclset('#skF_1')))
| ~ m1_relset_1(B_708,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_708,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_708) ),
inference(demodulation,[status(thm),theory(equality)],[c_9141,c_7826,c_8372]) ).
tff(c_10322,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_7866,c_10316]) ).
tff(c_10332,plain,
v3_lattices(k6_lopclset('#skF_1')),
inference(demodulation,[status(thm),theory(equality)],[c_9231,c_7713,c_7017,c_10322]) ).
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_8522,plain,
! [B_628,C_630,D_627,F_631,A_626,E_629] :
( ( E_629 = B_628 )
| ( g3_lattices(D_627,E_629,F_631) != g3_lattices(A_626,B_628,C_630) )
| ~ m1_relset_1(C_630,k2_zfmisc_1(A_626,A_626),A_626)
| ~ v1_funct_2(C_630,k2_zfmisc_1(A_626,A_626),A_626)
| ~ v1_funct_1(C_630)
| ~ m1_relset_1(B_628,k2_zfmisc_1(A_626,A_626),A_626)
| ~ v1_funct_2(B_628,k2_zfmisc_1(A_626,A_626),A_626)
| ~ v1_funct_1(B_628) ),
inference(cnfTransformation,[status(thm)],[f_487]) ).
tff(c_8526,plain,
! [E_629,D_627,F_631] :
( ( k4_lopclset('#skF_1') = E_629 )
| ( g3_lattices(D_627,E_629,F_631) != 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_7017,c_8522]) ).
tff(c_8536,plain,
! [E_629,D_627,F_631] :
( ( k4_lopclset('#skF_1') = E_629 )
| ( g3_lattices(D_627,E_629,F_631) != 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_7866,c_7976,c_8526]) ).
tff(c_13107,plain,
! [E_959,D_960,F_961] :
( ( k4_lopclset('#skF_1') = E_959 )
| ( g3_lattices(D_960,E_959,F_961) != k6_lopclset('#skF_1') ) ),
inference(demodulation,[status(thm),theory(equality)],[c_9231,c_7713,c_9141,c_7826,c_8536]) ).
tff(c_16985,plain,
! [A_1151] :
( ( u2_lattices(A_1151) = k4_lopclset('#skF_1') )
| ( k6_lopclset('#skF_1') != A_1151 )
| ~ v3_lattices(A_1151)
| ~ l3_lattices(A_1151) ),
inference(superposition,[status(thm),theory(equality)],[c_42,c_13107]) ).
tff(c_16997,plain,
( ( u2_lattices(k6_lopclset('#skF_1')) = k4_lopclset('#skF_1') )
| ~ l3_lattices(k6_lopclset('#skF_1')) ),
inference(resolution,[status(thm)],[c_10332,c_16985]) ).
tff(c_17018,plain,
u2_lattices(k6_lopclset('#skF_1')) = k4_lopclset('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_10650,c_16997]) ).
tff(c_8549,plain,
! [C_636,B_634,D_633,E_635,F_637,A_632] :
( ( F_637 = C_636 )
| ( g3_lattices(D_633,E_635,F_637) != g3_lattices(A_632,B_634,C_636) )
| ~ m1_relset_1(C_636,k2_zfmisc_1(A_632,A_632),A_632)
| ~ v1_funct_2(C_636,k2_zfmisc_1(A_632,A_632),A_632)
| ~ v1_funct_1(C_636)
| ~ m1_relset_1(B_634,k2_zfmisc_1(A_632,A_632),A_632)
| ~ v1_funct_2(B_634,k2_zfmisc_1(A_632,A_632),A_632)
| ~ v1_funct_1(B_634) ),
inference(cnfTransformation,[status(thm)],[f_487]) ).
tff(c_8553,plain,
! [F_637,D_633,E_635] :
( ( k5_lopclset('#skF_1') = F_637 )
| ( g3_lattices(D_633,E_635,F_637) != 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_7017,c_8549]) ).
tff(c_8563,plain,
! [F_637,D_633,E_635] :
( ( k5_lopclset('#skF_1') = F_637 )
| ( g3_lattices(D_633,E_635,F_637) != 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_7866,c_7976,c_8553]) ).
tff(c_13081,plain,
! [F_941,D_942,E_943] :
( ( k5_lopclset('#skF_1') = F_941 )
| ( g3_lattices(D_942,E_943,F_941) != k6_lopclset('#skF_1') ) ),
inference(demodulation,[status(thm),theory(equality)],[c_9231,c_7713,c_9141,c_7826,c_8563]) ).
tff(c_17079,plain,
! [A_1154] :
( ( u1_lattices(A_1154) = k5_lopclset('#skF_1') )
| ( k6_lopclset('#skF_1') != A_1154 )
| ~ v3_lattices(A_1154)
| ~ l3_lattices(A_1154) ),
inference(superposition,[status(thm),theory(equality)],[c_42,c_13081]) ).
tff(c_17091,plain,
( ( u1_lattices(k6_lopclset('#skF_1')) = k5_lopclset('#skF_1') )
| ~ l3_lattices(k6_lopclset('#skF_1')) ),
inference(resolution,[status(thm)],[c_10332,c_17079]) ).
tff(c_17112,plain,
u1_lattices(k6_lopclset('#skF_1')) = k5_lopclset('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_10650,c_17091]) ).
tff(c_17128,plain,
( ( g3_lattices(u1_struct_0(k6_lopclset('#skF_1')),u2_lattices(k6_lopclset('#skF_1')),k5_lopclset('#skF_1')) = k6_lopclset('#skF_1') )
| ~ v3_lattices(k6_lopclset('#skF_1'))
| ~ l3_lattices(k6_lopclset('#skF_1')) ),
inference(superposition,[status(thm),theory(equality)],[c_17112,c_42]) ).
tff(c_17143,plain,
g3_lattices(u1_struct_0(k6_lopclset('#skF_1')),k4_lopclset('#skF_1'),k5_lopclset('#skF_1')) = k6_lopclset('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_10650,c_10332,c_17018,c_17128]) ).
tff(c_8574,plain,
! [E_641,A_638,B_640,D_639,C_642,F_643] :
( ( D_639 = A_638 )
| ( g3_lattices(D_639,E_641,F_643) != g3_lattices(A_638,B_640,C_642) )
| ~ m1_relset_1(C_642,k2_zfmisc_1(A_638,A_638),A_638)
| ~ v1_funct_2(C_642,k2_zfmisc_1(A_638,A_638),A_638)
| ~ v1_funct_1(C_642)
| ~ m1_relset_1(B_640,k2_zfmisc_1(A_638,A_638),A_638)
| ~ v1_funct_2(B_640,k2_zfmisc_1(A_638,A_638),A_638)
| ~ v1_funct_1(B_640) ),
inference(cnfTransformation,[status(thm)],[f_487]) ).
tff(c_8578,plain,
! [D_639,E_641,F_643] :
( ( a_1_0_lopclset('#skF_1') = D_639 )
| ( g3_lattices(D_639,E_641,F_643) != 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_7017,c_8574]) ).
tff(c_8588,plain,
! [D_639,E_641,F_643] :
( ( a_1_0_lopclset('#skF_1') = D_639 )
| ( g3_lattices(D_639,E_641,F_643) != 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_7866,c_7976,c_8578]) ).
tff(c_13056,plain,
! [D_639,E_641,F_643] :
( ( a_1_0_lopclset('#skF_1') = D_639 )
| ( g3_lattices(D_639,E_641,F_643) != k6_lopclset('#skF_1') ) ),
inference(demodulation,[status(thm),theory(equality)],[c_9231,c_7713,c_9141,c_7826,c_8588]) ).
tff(c_17181,plain,
u1_struct_0(k6_lopclset('#skF_1')) = a_1_0_lopclset('#skF_1'),
inference(superposition,[status(thm),theory(equality)],[c_17143,c_13056]) ).
tff(c_2,plain,
~ m1_subset_1(k1_pre_topc('#skF_1'),u1_struct_0(k6_lopclset('#skF_1'))),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_952,plain,
~ m1_subset_1(k1_xboole_0,u1_struct_0(k6_lopclset('#skF_1'))),
inference(demodulation,[status(thm),theory(equality)],[c_950,c_2]) ).
tff(c_17200,plain,
~ m1_subset_1(k1_xboole_0,a_1_0_lopclset('#skF_1')),
inference(demodulation,[status(thm),theory(equality)],[c_17181,c_952]) ).
tff(c_17204,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_7426,c_17200]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LAT287+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.12 % 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
% 0.13/0.34 % Computer : n020.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 12:50:37 EDT 2023
% 0.13/0.34 % CPUTime :
% 19.88/7.45 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.88/7.46
% 19.88/7.46 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 19.88/7.51
% 19.88/7.51 Inference rules
% 19.88/7.51 ----------------------
% 19.88/7.51 #Ref : 3
% 19.88/7.51 #Sup : 3753
% 19.88/7.51 #Fact : 0
% 19.88/7.51 #Define : 0
% 19.88/7.51 #Split : 164
% 19.88/7.51 #Chain : 0
% 19.88/7.51 #Close : 0
% 19.88/7.51
% 19.88/7.51 Ordering : KBO
% 19.88/7.51
% 19.88/7.51 Simplification rules
% 19.88/7.51 ----------------------
% 19.88/7.51 #Subsume : 1610
% 19.88/7.51 #Demod : 1438
% 19.88/7.51 #Tautology : 825
% 19.88/7.51 #SimpNegUnit : 269
% 19.88/7.51 #BackRed : 154
% 19.88/7.51
% 19.88/7.51 #Partial instantiations: 0
% 19.88/7.51 #Strategies tried : 1
% 19.88/7.51
% 19.88/7.51 Timing (in seconds)
% 19.88/7.51 ----------------------
% 19.88/7.51 Preprocessing : 0.86
% 19.88/7.51 Parsing : 0.43
% 19.88/7.51 CNF conversion : 0.07
% 19.88/7.51 Main loop : 5.53
% 19.88/7.51 Inferencing : 1.46
% 19.88/7.51 Reduction : 2.24
% 19.88/7.51 Demodulation : 1.42
% 19.88/7.51 BG Simplification : 0.09
% 19.88/7.51 Subsumption : 1.38
% 19.88/7.51 Abstraction : 0.07
% 19.88/7.51 MUC search : 0.00
% 19.88/7.51 Cooper : 0.00
% 19.88/7.51 Total : 6.47
% 19.88/7.51 Index Insertion : 0.00
% 19.88/7.51 Index Deletion : 0.00
% 19.88/7.51 Index Matching : 0.00
% 19.88/7.51 BG Taut test : 0.00
%------------------------------------------------------------------------------