TSTP Solution File: LAT346+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LAT346+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 : n028.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 10:46:56 EDT 2023
% Result : Theorem 47.85s 30.08s
% Output : CNFRefutation 47.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 105
% Syntax : Number of formulae : 261 ( 50 unt; 81 typ; 0 def)
% Number of atoms : 596 ( 68 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 691 ( 275 ~; 330 |; 57 &)
% ( 3 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 95 ( 64 >; 31 *; 0 +; 0 <<)
% Number of predicates : 38 ( 36 usr; 1 prp; 0-3 aty)
% Number of functors : 45 ( 45 usr; 17 con; 0-3 aty)
% Number of variables : 177 (; 174 !; 3 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ v3_lattice4 > v1_partfun1 > v1_funct_2 > m2_relset_1 > m1_relset_1 > m1_lattice4 > v2_binop_1 > v1_binop_1 > r2_hidden > r1_tarski > r1_filter_1 > m1_subset_1 > v9_lattices > v8_lattices > v7_lattices > v6_lattices > v5_lattices > v4_lattices > v4_lattice3 > v4_conlat_1 > v3_struct_0 > v3_lattices > v3_conlat_1 > v1_xboole_0 > v1_relat_1 > v1_funct_1 > v15_lattices > v14_lattices > v13_lattices > v10_lattices > l3_lattices > l2_lattices > l2_conlat_1 > l1_struct_0 > l1_lattices > l1_conlat_1 > k6_relset_1 > g3_lattices > g2_conlat_1 > k2_zfmisc_1 > #nlpp > u3_conlat_1 > u2_lattices > u2_conlat_1 > u1_struct_0 > u1_lattices > u1_conlat_1 > k7_conlat_2 > k4_relat_1 > k1_zfmisc_1 > k1_lattice2 > k11_conlat_1 > k10_conlat_2 > k1_xboole_0 > #skF_20 > #skF_18 > #skF_17 > #skF_25 > #skF_19 > #skF_7 > #skF_16 > #skF_14 > #skF_15 > #skF_12 > #skF_5 > #skF_6 > #skF_13 > #skF_10 > #skF_3 > #skF_1 > #skF_21 > #skF_23 > #skF_26 > #skF_8 > #skF_4 > #skF_11 > #skF_22 > #skF_28 > #skF_2 > #skF_24 > #skF_27 > #skF_9
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(l3_lattices,type,
l3_lattices: $i > $o ).
tff(k1_lattice2,type,
k1_lattice2: $i > $i ).
tff(k10_conlat_2,type,
k10_conlat_2: $i > $i ).
tff(m2_relset_1,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff(l2_lattices,type,
l2_lattices: $i > $o ).
tff(l1_conlat_1,type,
l1_conlat_1: $i > $o ).
tff('#skF_20',type,
'#skF_20': $i ).
tff(v1_funct_1,type,
v1_funct_1: $i > $o ).
tff('#skF_18',type,
'#skF_18': $i > $i ).
tff(r2_hidden,type,
r2_hidden: ( $i * $i ) > $o ).
tff(v1_partfun1,type,
v1_partfun1: ( $i * $i * $i ) > $o ).
tff('#skF_17',type,
'#skF_17': ( $i * $i ) > $i ).
tff('#skF_25',type,
'#skF_25': $i ).
tff(k1_xboole_0,type,
k1_xboole_0: $i ).
tff(r1_filter_1,type,
r1_filter_1: ( $i * $i ) > $o ).
tff(l1_lattices,type,
l1_lattices: $i > $o ).
tff(u3_conlat_1,type,
u3_conlat_1: $i > $i ).
tff(k6_relset_1,type,
k6_relset_1: ( $i * $i * $i ) > $i ).
tff('#skF_19',type,
'#skF_19': $i ).
tff('#skF_7',type,
'#skF_7': $i ).
tff(r1_tarski,type,
r1_tarski: ( $i * $i ) > $o ).
tff(m1_lattice4,type,
m1_lattice4: ( $i * $i * $i ) > $o ).
tff(m1_relset_1,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff('#skF_16',type,
'#skF_16': $i ).
tff('#skF_14',type,
'#skF_14': ( $i * $i ) > $i ).
tff(u2_conlat_1,type,
u2_conlat_1: $i > $i ).
tff('#skF_15',type,
'#skF_15': $i > $i ).
tff('#skF_12',type,
'#skF_12': ( $i * $i ) > $i ).
tff(g2_conlat_1,type,
g2_conlat_1: ( $i * $i * $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_6',type,
'#skF_6': $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('#skF_10',type,
'#skF_10': ( $i * $i ) > $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(u1_lattices,type,
u1_lattices: $i > $i ).
tff(v4_lattice3,type,
v4_lattice3: $i > $o ).
tff(k7_conlat_2,type,
k7_conlat_2: $i > $i ).
tff(g3_lattices,type,
g3_lattices: ( $i * $i * $i ) > $i ).
tff(v5_lattices,type,
v5_lattices: $i > $o ).
tff('#skF_21',type,
'#skF_21': $i ).
tff(v10_lattices,type,
v10_lattices: $i > $o ).
tff(l2_conlat_1,type,
l2_conlat_1: $i > $o ).
tff(k1_zfmisc_1,type,
k1_zfmisc_1: $i > $i ).
tff(l1_struct_0,type,
l1_struct_0: $i > $o ).
tff('#skF_23',type,
'#skF_23': $i > $i ).
tff(v4_conlat_1,type,
v4_conlat_1: $i > $o ).
tff('#skF_26',type,
'#skF_26': $i > $i ).
tff('#skF_8',type,
'#skF_8': $i ).
tff(v1_binop_1,type,
v1_binop_1: ( $i * $i ) > $o ).
tff(v2_binop_1,type,
v2_binop_1: ( $i * $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('#skF_11',type,
'#skF_11': $i > $i ).
tff('#skF_22',type,
'#skF_22': $i ).
tff(v8_lattices,type,
v8_lattices: $i > $o ).
tff(u1_conlat_1,type,
u1_conlat_1: $i > $i ).
tff('#skF_28',type,
'#skF_28': $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i ) > $i ).
tff('#skF_24',type,
'#skF_24': $i ).
tff(v3_lattices,type,
v3_lattices: $i > $o ).
tff('#skF_27',type,
'#skF_27': $i > $i ).
tff(v3_lattice4,type,
v3_lattice4: ( $i * $i * $i ) > $o ).
tff(u1_struct_0,type,
u1_struct_0: $i > $i ).
tff(v1_xboole_0,type,
v1_xboole_0: $i > $o ).
tff('#skF_9',type,
'#skF_9': ( $i * $i ) > $i ).
tff(k4_relat_1,type,
k4_relat_1: $i > $i ).
tff(v15_lattices,type,
v15_lattices: $i > $o ).
tff(v3_conlat_1,type,
v3_conlat_1: $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(k11_conlat_1,type,
k11_conlat_1: $i > $i ).
tff(f_37,negated_conjecture,
~ ! [A] :
( ( ~ v3_conlat_1(A)
& l2_conlat_1(A) )
=> r1_filter_1(k11_conlat_1(k7_conlat_2(A)),k1_lattice2(k11_conlat_1(A))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_conlat_2) ).
tff(f_248,axiom,
! [A] :
( ( ~ v3_conlat_1(A)
& l2_conlat_1(A) )
=> ( ~ v3_struct_0(k11_conlat_1(A))
& v3_lattices(k11_conlat_1(A))
& l3_lattices(k11_conlat_1(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k11_conlat_1) ).
tff(f_254,axiom,
! [A] :
( l3_lattices(A)
=> ( v3_lattices(k1_lattice2(A))
& l3_lattices(k1_lattice2(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_lattice2) ).
tff(f_275,axiom,
! [A] :
( ( ~ v3_conlat_1(A)
& l2_conlat_1(A) )
=> ( ~ v3_conlat_1(k7_conlat_2(A))
& v4_conlat_1(k7_conlat_2(A))
& l2_conlat_1(k7_conlat_2(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_conlat_2) ).
tff(f_791,axiom,
? [A] :
( l2_conlat_1(A)
& ~ v3_conlat_1(A)
& v4_conlat_1(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc7_conlat_1) ).
tff(f_340,axiom,
! [A] :
( l2_conlat_1(A)
=> m2_relset_1(u3_conlat_1(A),u1_conlat_1(A),u2_conlat_1(A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u3_conlat_1) ).
tff(f_842,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_49,axiom,
! [A] :
( l2_conlat_1(A)
=> ( v4_conlat_1(A)
=> ( A = g2_conlat_1(u1_conlat_1(A),u2_conlat_1(A),u3_conlat_1(A)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abstractness_v4_conlat_1) ).
tff(f_207,axiom,
! [A] :
( ( ~ v3_conlat_1(A)
& l2_conlat_1(A) )
=> ( k7_conlat_2(A) = g2_conlat_1(u2_conlat_1(A),u1_conlat_1(A),k6_relset_1(u1_conlat_1(A),u2_conlat_1(A),u3_conlat_1(A))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d7_conlat_2) ).
tff(f_662,axiom,
! [A,B,C] :
( m1_relset_1(C,A,B)
=> ! [D,E,F] :
( ( g2_conlat_1(A,B,C) = g2_conlat_1(D,E,F) )
=> ( ( A = D )
& ( B = E )
& ( C = F ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',free_g2_conlat_1) ).
tff(f_263,axiom,
! [A,B,C] :
( m1_relset_1(C,A,B)
=> m2_relset_1(k6_relset_1(A,B,C),B,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_relset_1) ).
tff(f_838,axiom,
! [A,B,C] :
( m1_relset_1(C,A,B)
=> ( k6_relset_1(A,B,C) = k4_relat_1(C) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k6_relset_1) ).
tff(f_213,axiom,
! [A,B,C] :
( m1_relset_1(C,A,B)
=> ( v4_conlat_1(g2_conlat_1(A,B,C))
& l2_conlat_1(g2_conlat_1(A,B,C)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_g2_conlat_1) ).
tff(f_283,axiom,
! [A] :
( l2_conlat_1(A)
=> l1_conlat_1(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l2_conlat_1) ).
tff(f_802,axiom,
! [A] :
( ( ~ v3_conlat_1(A)
& l1_conlat_1(A) )
=> ? [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_conlat_1(A)))
& ~ v1_xboole_0(B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc8_conlat_1) ).
tff(f_899,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_608,axiom,
! [A] :
( ( ~ v3_conlat_1(A)
& l2_conlat_1(A) )
=> ( ~ v3_struct_0(k11_conlat_1(A))
& v3_lattices(k11_conlat_1(A))
& v4_lattices(k11_conlat_1(A))
& v5_lattices(k11_conlat_1(A))
& v6_lattices(k11_conlat_1(A))
& v7_lattices(k11_conlat_1(A))
& v8_lattices(k11_conlat_1(A))
& v9_lattices(k11_conlat_1(A))
& v10_lattices(k11_conlat_1(A))
& v4_lattice3(k11_conlat_1(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_conlat_1) ).
tff(f_651,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ( ~ v3_struct_0(k1_lattice2(A))
& v3_lattices(k1_lattice2(A))
& v4_lattices(k1_lattice2(A))
& v5_lattices(k1_lattice2(A))
& v6_lattices(k1_lattice2(A))
& v7_lattices(k1_lattice2(A))
& v8_lattices(k1_lattice2(A))
& v9_lattices(k1_lattice2(A))
& v10_lattices(k1_lattice2(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_lattice2) ).
tff(f_236,axiom,
! [A] :
( ( ~ v3_conlat_1(A)
& l2_conlat_1(A) )
=> m1_lattice4(k10_conlat_2(A),k1_lattice2(k11_conlat_1(A)),k11_conlat_1(k7_conlat_2(A))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k10_conlat_2) ).
tff(f_889,axiom,
! [A] :
( ( ~ v3_conlat_1(A)
& l2_conlat_1(A) )
=> v3_lattice4(k10_conlat_2(A),k1_lattice2(k11_conlat_1(A)),k11_conlat_1(k7_conlat_2(A))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_conlat_2) ).
tff(f_200,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v10_lattices(B)
& l3_lattices(B) )
=> ( r1_filter_1(A,B)
<=> ? [C] :
( m1_lattice4(C,A,B)
& v3_lattice4(C,A,B) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_lattice4) ).
tff(f_878,axiom,
! [A,B] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A)
& ~ v3_struct_0(B)
& v10_lattices(B)
& l3_lattices(B) )
=> ( r1_filter_1(A,B)
=> r1_filter_1(B,A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_r1_filter_1) ).
tff(f_316,axiom,
! [A,B] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A)
& ~ v3_struct_0(B)
& v10_lattices(B)
& l3_lattices(B) )
=> ! [C] :
( m1_lattice4(C,A,B)
=> ( v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_lattice4) ).
tff(f_428,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l3_lattices(A) )
=> ( ~ v3_struct_0(k1_lattice2(A))
& v3_lattices(k1_lattice2(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_lattice2) ).
tff(c_6,plain,
~ v3_conlat_1('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_4,plain,
l2_conlat_1('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_80,plain,
! [A_41] :
( l3_lattices(k11_conlat_1(A_41))
| ~ l2_conlat_1(A_41)
| v3_conlat_1(A_41) ),
inference(cnfTransformation,[status(thm)],[f_248]) ).
tff(c_86,plain,
! [A_42] :
( l3_lattices(k1_lattice2(A_42))
| ~ l3_lattices(A_42) ),
inference(cnfTransformation,[status(thm)],[f_254]) ).
tff(c_100,plain,
! [A_47] :
( l2_conlat_1(k7_conlat_2(A_47))
| ~ l2_conlat_1(A_47)
| v3_conlat_1(A_47) ),
inference(cnfTransformation,[status(thm)],[f_275]) ).
tff(c_428,plain,
l2_conlat_1('#skF_25'),
inference(cnfTransformation,[status(thm)],[f_791]) ).
tff(c_424,plain,
v4_conlat_1('#skF_25'),
inference(cnfTransformation,[status(thm)],[f_791]) ).
tff(c_903,plain,
! [A_293] :
( m2_relset_1(u3_conlat_1(A_293),u1_conlat_1(A_293),u2_conlat_1(A_293))
| ~ l2_conlat_1(A_293) ),
inference(cnfTransformation,[status(thm)],[f_340]) ).
tff(c_460,plain,
! [C_135,A_133,B_134] :
( m1_relset_1(C_135,A_133,B_134)
| ~ m2_relset_1(C_135,A_133,B_134) ),
inference(cnfTransformation,[status(thm)],[f_842]) ).
tff(c_907,plain,
! [A_293] :
( m1_relset_1(u3_conlat_1(A_293),u1_conlat_1(A_293),u2_conlat_1(A_293))
| ~ l2_conlat_1(A_293) ),
inference(resolution,[status(thm)],[c_903,c_460]) ).
tff(c_10,plain,
! [A_2] :
( ( g2_conlat_1(u1_conlat_1(A_2),u2_conlat_1(A_2),u3_conlat_1(A_2)) = A_2 )
| ~ v4_conlat_1(A_2)
| ~ l2_conlat_1(A_2) ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_2976,plain,
! [A_586] :
( ( g2_conlat_1(u2_conlat_1(A_586),u1_conlat_1(A_586),k6_relset_1(u1_conlat_1(A_586),u2_conlat_1(A_586),u3_conlat_1(A_586))) = k7_conlat_2(A_586) )
| ~ l2_conlat_1(A_586)
| v3_conlat_1(A_586) ),
inference(cnfTransformation,[status(thm)],[f_207]) ).
tff(c_338,plain,
! [E_99,A_92,C_94,B_93,F_100,D_98] :
( ( D_98 = A_92 )
| ( g2_conlat_1(D_98,E_99,F_100) != g2_conlat_1(A_92,B_93,C_94) )
| ~ m1_relset_1(C_94,A_92,B_93) ),
inference(cnfTransformation,[status(thm)],[f_662]) ).
tff(c_5520,plain,
! [A_835,A_836,B_837,C_838] :
( ( u2_conlat_1(A_835) = A_836 )
| ( k7_conlat_2(A_835) != g2_conlat_1(A_836,B_837,C_838) )
| ~ m1_relset_1(C_838,A_836,B_837)
| ~ l2_conlat_1(A_835)
| v3_conlat_1(A_835) ),
inference(superposition,[status(thm),theory(equality)],[c_2976,c_338]) ).
tff(c_15392,plain,
! [A_1394,A_1395] :
( ( u2_conlat_1(A_1394) = u1_conlat_1(A_1395) )
| ( k7_conlat_2(A_1394) != A_1395 )
| ~ m1_relset_1(u3_conlat_1(A_1395),u1_conlat_1(A_1395),u2_conlat_1(A_1395))
| ~ l2_conlat_1(A_1394)
| v3_conlat_1(A_1394)
| ~ v4_conlat_1(A_1395)
| ~ l2_conlat_1(A_1395) ),
inference(superposition,[status(thm),theory(equality)],[c_10,c_5520]) ).
tff(c_15405,plain,
! [A_1396,A_1397] :
( ( u2_conlat_1(A_1396) = u1_conlat_1(A_1397) )
| ( k7_conlat_2(A_1396) != A_1397 )
| ~ l2_conlat_1(A_1396)
| v3_conlat_1(A_1396)
| ~ v4_conlat_1(A_1397)
| ~ l2_conlat_1(A_1397) ),
inference(resolution,[status(thm)],[c_907,c_15392]) ).
tff(c_15413,plain,
! [A_1396] :
( ( u2_conlat_1(A_1396) = u1_conlat_1('#skF_25') )
| ( k7_conlat_2(A_1396) != '#skF_25' )
| ~ l2_conlat_1(A_1396)
| v3_conlat_1(A_1396)
| ~ l2_conlat_1('#skF_25') ),
inference(resolution,[status(thm)],[c_424,c_15405]) ).
tff(c_15441,plain,
! [A_1399] :
( ( u2_conlat_1(A_1399) = u1_conlat_1('#skF_25') )
| ( k7_conlat_2(A_1399) != '#skF_25' )
| ~ l2_conlat_1(A_1399)
| v3_conlat_1(A_1399) ),
inference(demodulation,[status(thm),theory(equality)],[c_428,c_15413]) ).
tff(c_104,plain,
! [A_47] :
( ~ v3_conlat_1(k7_conlat_2(A_47))
| ~ l2_conlat_1(A_47)
| v3_conlat_1(A_47) ),
inference(cnfTransformation,[status(thm)],[f_275]) ).
tff(c_15491,plain,
! [A_1404] :
( ~ l2_conlat_1(A_1404)
| v3_conlat_1(A_1404)
| ( u2_conlat_1(k7_conlat_2(A_1404)) = u1_conlat_1('#skF_25') )
| ( k7_conlat_2(k7_conlat_2(A_1404)) != '#skF_25' )
| ~ l2_conlat_1(k7_conlat_2(A_1404)) ),
inference(resolution,[status(thm)],[c_15441,c_104]) ).
tff(c_15495,plain,
! [A_47] :
( ( u2_conlat_1(k7_conlat_2(A_47)) = u1_conlat_1('#skF_25') )
| ( k7_conlat_2(k7_conlat_2(A_47)) != '#skF_25' )
| ~ l2_conlat_1(A_47)
| v3_conlat_1(A_47) ),
inference(resolution,[status(thm)],[c_100,c_15491]) ).
tff(c_1126,plain,
! [A_347,B_348,C_349] :
( m2_relset_1(k6_relset_1(A_347,B_348,C_349),B_348,A_347)
| ~ m1_relset_1(C_349,A_347,B_348) ),
inference(cnfTransformation,[status(thm)],[f_263]) ).
tff(c_1134,plain,
! [A_347,B_348,C_349] :
( m1_relset_1(k6_relset_1(A_347,B_348,C_349),B_348,A_347)
| ~ m1_relset_1(C_349,A_347,B_348) ),
inference(resolution,[status(thm)],[c_1126,c_460]) ).
tff(c_68,plain,
! [A_33] :
( ( g2_conlat_1(u2_conlat_1(A_33),u1_conlat_1(A_33),k6_relset_1(u1_conlat_1(A_33),u2_conlat_1(A_33),u3_conlat_1(A_33))) = k7_conlat_2(A_33) )
| ~ l2_conlat_1(A_33)
| v3_conlat_1(A_33) ),
inference(cnfTransformation,[status(thm)],[f_207]) ).
tff(c_18680,plain,
! [A_1510,A_1509] :
( ( u2_conlat_1(A_1510) = u2_conlat_1(A_1509) )
| ( k7_conlat_2(A_1510) != k7_conlat_2(A_1509) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(A_1510),u2_conlat_1(A_1510),u3_conlat_1(A_1510)),u2_conlat_1(A_1510),u1_conlat_1(A_1510))
| ~ l2_conlat_1(A_1509)
| v3_conlat_1(A_1509)
| ~ l2_conlat_1(A_1510)
| v3_conlat_1(A_1510) ),
inference(superposition,[status(thm),theory(equality)],[c_68,c_5520]) ).
tff(c_67258,plain,
! [A_2108,A_2107] :
( ( u2_conlat_1(A_2108) = u2_conlat_1(A_2107) )
| ( k7_conlat_2(A_2108) != k7_conlat_2(A_2107) )
| ~ l2_conlat_1(A_2108)
| v3_conlat_1(A_2108)
| ~ l2_conlat_1(A_2107)
| v3_conlat_1(A_2107)
| ~ m1_relset_1(u3_conlat_1(A_2107),u1_conlat_1(A_2107),u2_conlat_1(A_2107)) ),
inference(resolution,[status(thm)],[c_1134,c_18680]) ).
tff(c_67755,plain,
! [A_2121,A_2120] :
( ( u2_conlat_1(A_2121) = u2_conlat_1(A_2120) )
| ( k7_conlat_2(A_2121) != k7_conlat_2(A_2120) )
| ~ l2_conlat_1(A_2121)
| v3_conlat_1(A_2121)
| v3_conlat_1(A_2120)
| ~ l2_conlat_1(A_2120) ),
inference(resolution,[status(thm)],[c_907,c_67258]) ).
tff(c_68225,plain,
! [A_2120] :
( ( u2_conlat_1(A_2120) = u2_conlat_1('#skF_1') )
| ( k7_conlat_2(A_2120) != k7_conlat_2('#skF_1') )
| ~ l2_conlat_1('#skF_1')
| v3_conlat_1(A_2120)
| ~ l2_conlat_1(A_2120) ),
inference(resolution,[status(thm)],[c_67755,c_6]) ).
tff(c_68374,plain,
! [A_2122] :
( ( u2_conlat_1(A_2122) = u2_conlat_1('#skF_1') )
| ( k7_conlat_2(A_2122) != k7_conlat_2('#skF_1') )
| v3_conlat_1(A_2122)
| ~ l2_conlat_1(A_2122) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_68225]) ).
tff(c_78508,plain,
! [A_2206] :
( ~ l2_conlat_1(A_2206)
| v3_conlat_1(A_2206)
| ( u2_conlat_1(k7_conlat_2(A_2206)) = u2_conlat_1('#skF_1') )
| ( k7_conlat_2(k7_conlat_2(A_2206)) != k7_conlat_2('#skF_1') )
| ~ l2_conlat_1(k7_conlat_2(A_2206)) ),
inference(resolution,[status(thm)],[c_68374,c_104]) ).
tff(c_78534,plain,
! [A_2207] :
( ( u2_conlat_1(k7_conlat_2(A_2207)) = u2_conlat_1('#skF_1') )
| ( k7_conlat_2(k7_conlat_2(A_2207)) != k7_conlat_2('#skF_1') )
| ~ l2_conlat_1(A_2207)
| v3_conlat_1(A_2207) ),
inference(resolution,[status(thm)],[c_100,c_78508]) ).
tff(c_78753,plain,
! [A_47] :
( ( u2_conlat_1('#skF_1') = u1_conlat_1('#skF_25') )
| ( k7_conlat_2(k7_conlat_2(A_47)) != k7_conlat_2('#skF_1') )
| ~ l2_conlat_1(A_47)
| v3_conlat_1(A_47)
| ( k7_conlat_2(k7_conlat_2(A_47)) != '#skF_25' )
| ~ l2_conlat_1(A_47)
| v3_conlat_1(A_47) ),
inference(superposition,[status(thm),theory(equality)],[c_15495,c_78534]) ).
tff(c_81037,plain,
u2_conlat_1('#skF_1') = u1_conlat_1('#skF_25'),
inference(splitLeft,[status(thm)],[c_78753]) ).
tff(c_1009,plain,
! [A_321,B_322,C_323] :
( ( k6_relset_1(A_321,B_322,C_323) = k4_relat_1(C_323) )
| ~ m1_relset_1(C_323,A_321,B_322) ),
inference(cnfTransformation,[status(thm)],[f_838]) ).
tff(c_2025,plain,
! [A_487] :
( ( k6_relset_1(u1_conlat_1(A_487),u2_conlat_1(A_487),u3_conlat_1(A_487)) = k4_relat_1(u3_conlat_1(A_487)) )
| ~ l2_conlat_1(A_487) ),
inference(resolution,[status(thm)],[c_907,c_1009]) ).
tff(c_2034,plain,
! [A_487] :
( m1_relset_1(k4_relat_1(u3_conlat_1(A_487)),u2_conlat_1(A_487),u1_conlat_1(A_487))
| ~ m1_relset_1(u3_conlat_1(A_487),u1_conlat_1(A_487),u2_conlat_1(A_487))
| ~ l2_conlat_1(A_487) ),
inference(superposition,[status(thm),theory(equality)],[c_2025,c_1134]) ).
tff(c_1025,plain,
! [A_293] :
( ( k6_relset_1(u1_conlat_1(A_293),u2_conlat_1(A_293),u3_conlat_1(A_293)) = k4_relat_1(u3_conlat_1(A_293)) )
| ~ l2_conlat_1(A_293) ),
inference(resolution,[status(thm)],[c_907,c_1009]) ).
tff(c_3006,plain,
! [A_293] :
( ( g2_conlat_1(u2_conlat_1(A_293),u1_conlat_1(A_293),k4_relat_1(u3_conlat_1(A_293))) = k7_conlat_2(A_293) )
| ~ l2_conlat_1(A_293)
| v3_conlat_1(A_293)
| ~ l2_conlat_1(A_293) ),
inference(superposition,[status(thm),theory(equality)],[c_1025,c_2976]) ).
tff(c_70,plain,
! [A_34,B_35,C_36] :
( l2_conlat_1(g2_conlat_1(A_34,B_35,C_36))
| ~ m1_relset_1(C_36,A_34,B_35) ),
inference(cnfTransformation,[status(thm)],[f_213]) ).
tff(c_72,plain,
! [A_34,B_35,C_36] :
( v4_conlat_1(g2_conlat_1(A_34,B_35,C_36))
| ~ m1_relset_1(C_36,A_34,B_35) ),
inference(cnfTransformation,[status(thm)],[f_213]) ).
tff(c_2020,plain,
! [B_486,D_485,C_483,F_482,A_484,E_481] :
( ( E_481 = B_486 )
| ( g2_conlat_1(D_485,E_481,F_482) != g2_conlat_1(A_484,B_486,C_483) )
| ~ m1_relset_1(C_483,A_484,B_486) ),
inference(cnfTransformation,[status(thm)],[f_662]) ).
tff(c_2022,plain,
! [A_2,B_486,A_484,C_483] :
( ( u2_conlat_1(A_2) = B_486 )
| ( g2_conlat_1(A_484,B_486,C_483) != A_2 )
| ~ m1_relset_1(C_483,A_484,B_486)
| ~ v4_conlat_1(A_2)
| ~ l2_conlat_1(A_2) ),
inference(superposition,[status(thm),theory(equality)],[c_10,c_2020]) ).
tff(c_14495,plain,
! [A_1372,B_1373,C_1374] :
( ( u2_conlat_1(g2_conlat_1(A_1372,B_1373,C_1374)) = B_1373 )
| ~ m1_relset_1(C_1374,A_1372,B_1373)
| ~ v4_conlat_1(g2_conlat_1(A_1372,B_1373,C_1374))
| ~ l2_conlat_1(g2_conlat_1(A_1372,B_1373,C_1374)) ),
inference(reflexivity,[status(thm),theory(equality)],[c_2022]) ).
tff(c_14509,plain,
! [A_1375,B_1376,C_1377] :
( ( u2_conlat_1(g2_conlat_1(A_1375,B_1376,C_1377)) = B_1376 )
| ~ l2_conlat_1(g2_conlat_1(A_1375,B_1376,C_1377))
| ~ m1_relset_1(C_1377,A_1375,B_1376) ),
inference(resolution,[status(thm)],[c_72,c_14495]) ).
tff(c_14523,plain,
! [A_1378,B_1379,C_1380] :
( ( u2_conlat_1(g2_conlat_1(A_1378,B_1379,C_1380)) = B_1379 )
| ~ m1_relset_1(C_1380,A_1378,B_1379) ),
inference(resolution,[status(thm)],[c_70,c_14509]) ).
tff(c_16535,plain,
! [A_1445] :
( ( u2_conlat_1(k7_conlat_2(A_1445)) = u1_conlat_1(A_1445) )
| ~ m1_relset_1(k4_relat_1(u3_conlat_1(A_1445)),u2_conlat_1(A_1445),u1_conlat_1(A_1445))
| ~ l2_conlat_1(A_1445)
| v3_conlat_1(A_1445)
| ~ l2_conlat_1(A_1445) ),
inference(superposition,[status(thm),theory(equality)],[c_3006,c_14523]) ).
tff(c_16564,plain,
! [A_1446] :
( ( u2_conlat_1(k7_conlat_2(A_1446)) = u1_conlat_1(A_1446) )
| v3_conlat_1(A_1446)
| ~ m1_relset_1(u3_conlat_1(A_1446),u1_conlat_1(A_1446),u2_conlat_1(A_1446))
| ~ l2_conlat_1(A_1446) ),
inference(resolution,[status(thm)],[c_2034,c_16535]) ).
tff(c_16593,plain,
! [A_1447] :
( ( u2_conlat_1(k7_conlat_2(A_1447)) = u1_conlat_1(A_1447) )
| v3_conlat_1(A_1447)
| ~ l2_conlat_1(A_1447) ),
inference(resolution,[status(thm)],[c_907,c_16564]) ).
tff(c_2101,plain,
! [D_497,E_493,C_495,F_494,A_496,B_498] :
( ( D_497 = A_496 )
| ( g2_conlat_1(D_497,E_493,F_494) != g2_conlat_1(A_496,B_498,C_495) )
| ~ m1_relset_1(C_495,A_496,B_498) ),
inference(cnfTransformation,[status(thm)],[f_662]) ).
tff(c_2103,plain,
! [A_2,A_496,B_498,C_495] :
( ( u1_conlat_1(A_2) = A_496 )
| ( g2_conlat_1(A_496,B_498,C_495) != A_2 )
| ~ m1_relset_1(C_495,A_496,B_498)
| ~ v4_conlat_1(A_2)
| ~ l2_conlat_1(A_2) ),
inference(superposition,[status(thm),theory(equality)],[c_10,c_2101]) ).
tff(c_9593,plain,
! [A_1204,B_1205,C_1206] :
( ( u1_conlat_1(g2_conlat_1(A_1204,B_1205,C_1206)) = A_1204 )
| ~ m1_relset_1(C_1206,A_1204,B_1205)
| ~ v4_conlat_1(g2_conlat_1(A_1204,B_1205,C_1206))
| ~ l2_conlat_1(g2_conlat_1(A_1204,B_1205,C_1206)) ),
inference(reflexivity,[status(thm),theory(equality)],[c_2103]) ).
tff(c_9607,plain,
! [A_1207,B_1208,C_1209] :
( ( u1_conlat_1(g2_conlat_1(A_1207,B_1208,C_1209)) = A_1207 )
| ~ l2_conlat_1(g2_conlat_1(A_1207,B_1208,C_1209))
| ~ m1_relset_1(C_1209,A_1207,B_1208) ),
inference(resolution,[status(thm)],[c_72,c_9593]) ).
tff(c_9621,plain,
! [A_1210,B_1211,C_1212] :
( ( u1_conlat_1(g2_conlat_1(A_1210,B_1211,C_1212)) = A_1210 )
| ~ m1_relset_1(C_1212,A_1210,B_1211) ),
inference(resolution,[status(thm)],[c_70,c_9607]) ).
tff(c_9710,plain,
! [A_1216] :
( ( u1_conlat_1(k7_conlat_2(A_1216)) = u2_conlat_1(A_1216) )
| ~ m1_relset_1(k4_relat_1(u3_conlat_1(A_1216)),u2_conlat_1(A_1216),u1_conlat_1(A_1216))
| ~ l2_conlat_1(A_1216)
| v3_conlat_1(A_1216)
| ~ l2_conlat_1(A_1216) ),
inference(superposition,[status(thm),theory(equality)],[c_3006,c_9621]) ).
tff(c_9718,plain,
! [A_1217] :
( ( u1_conlat_1(k7_conlat_2(A_1217)) = u2_conlat_1(A_1217) )
| v3_conlat_1(A_1217)
| ~ m1_relset_1(u3_conlat_1(A_1217),u1_conlat_1(A_1217),u2_conlat_1(A_1217))
| ~ l2_conlat_1(A_1217) ),
inference(resolution,[status(thm)],[c_2034,c_9710]) ).
tff(c_9726,plain,
! [A_1218] :
( ( u1_conlat_1(k7_conlat_2(A_1218)) = u2_conlat_1(A_1218) )
| v3_conlat_1(A_1218)
| ~ l2_conlat_1(A_1218) ),
inference(resolution,[status(thm)],[c_907,c_9718]) ).
tff(c_150,plain,
! [A_61] :
( m2_relset_1(u3_conlat_1(A_61),u1_conlat_1(A_61),u2_conlat_1(A_61))
| ~ l2_conlat_1(A_61) ),
inference(cnfTransformation,[status(thm)],[f_340]) ).
tff(c_9786,plain,
! [A_1218] :
( m2_relset_1(u3_conlat_1(k7_conlat_2(A_1218)),u2_conlat_1(A_1218),u2_conlat_1(k7_conlat_2(A_1218)))
| ~ l2_conlat_1(k7_conlat_2(A_1218))
| v3_conlat_1(A_1218)
| ~ l2_conlat_1(A_1218) ),
inference(superposition,[status(thm),theory(equality)],[c_9726,c_150]) ).
tff(c_16617,plain,
! [A_1447] :
( m2_relset_1(u3_conlat_1(k7_conlat_2(A_1447)),u2_conlat_1(A_1447),u1_conlat_1(A_1447))
| ~ l2_conlat_1(k7_conlat_2(A_1447))
| v3_conlat_1(A_1447)
| ~ l2_conlat_1(A_1447)
| v3_conlat_1(A_1447)
| ~ l2_conlat_1(A_1447) ),
inference(superposition,[status(thm),theory(equality)],[c_16593,c_9786]) ).
tff(c_81110,plain,
( m2_relset_1(u3_conlat_1(k7_conlat_2('#skF_1')),u1_conlat_1('#skF_25'),u1_conlat_1('#skF_1'))
| ~ l2_conlat_1(k7_conlat_2('#skF_1'))
| v3_conlat_1('#skF_1')
| ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1')
| ~ l2_conlat_1('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_81037,c_16617]) ).
tff(c_81257,plain,
( m2_relset_1(u3_conlat_1(k7_conlat_2('#skF_1')),u1_conlat_1('#skF_25'),u1_conlat_1('#skF_1'))
| ~ l2_conlat_1(k7_conlat_2('#skF_1'))
| v3_conlat_1('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_4,c_81110]) ).
tff(c_81258,plain,
( m2_relset_1(u3_conlat_1(k7_conlat_2('#skF_1')),u1_conlat_1('#skF_25'),u1_conlat_1('#skF_1'))
| ~ l2_conlat_1(k7_conlat_2('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_6,c_81257]) ).
tff(c_82396,plain,
~ l2_conlat_1(k7_conlat_2('#skF_1')),
inference(splitLeft,[status(thm)],[c_81258]) ).
tff(c_82399,plain,
( ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_100,c_82396]) ).
tff(c_82402,plain,
v3_conlat_1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_82399]) ).
tff(c_82404,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6,c_82402]) ).
tff(c_82406,plain,
l2_conlat_1(k7_conlat_2('#skF_1')),
inference(splitRight,[status(thm)],[c_81258]) ).
tff(c_112,plain,
! [A_49] :
( l1_conlat_1(A_49)
| ~ l2_conlat_1(A_49) ),
inference(cnfTransformation,[status(thm)],[f_283]) ).
tff(c_82410,plain,
l1_conlat_1(k7_conlat_2('#skF_1')),
inference(resolution,[status(thm)],[c_82406,c_112]) ).
tff(c_1030,plain,
! [A_324] :
( m1_subset_1('#skF_26'(A_324),k1_zfmisc_1(u1_conlat_1(A_324)))
| ~ l1_conlat_1(A_324)
| v3_conlat_1(A_324) ),
inference(cnfTransformation,[status(thm)],[f_802]) ).
tff(c_476,plain,
! [A_147,B_148] :
( r1_tarski(A_147,B_148)
| ~ m1_subset_1(A_147,k1_zfmisc_1(B_148)) ),
inference(cnfTransformation,[status(thm)],[f_899]) ).
tff(c_1040,plain,
! [A_324] :
( r1_tarski('#skF_26'(A_324),u1_conlat_1(A_324))
| ~ l1_conlat_1(A_324)
| v3_conlat_1(A_324) ),
inference(resolution,[status(thm)],[c_1030,c_476]) ).
tff(c_9777,plain,
! [A_1218] :
( r1_tarski('#skF_26'(k7_conlat_2(A_1218)),u2_conlat_1(A_1218))
| ~ l1_conlat_1(k7_conlat_2(A_1218))
| v3_conlat_1(k7_conlat_2(A_1218))
| v3_conlat_1(A_1218)
| ~ l2_conlat_1(A_1218) ),
inference(superposition,[status(thm),theory(equality)],[c_9726,c_1040]) ).
tff(c_81125,plain,
( r1_tarski('#skF_26'(k7_conlat_2('#skF_1')),u1_conlat_1('#skF_25'))
| ~ l1_conlat_1(k7_conlat_2('#skF_1'))
| v3_conlat_1(k7_conlat_2('#skF_1'))
| v3_conlat_1('#skF_1')
| ~ l2_conlat_1('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_81037,c_9777]) ).
tff(c_81272,plain,
( r1_tarski('#skF_26'(k7_conlat_2('#skF_1')),u1_conlat_1('#skF_25'))
| ~ l1_conlat_1(k7_conlat_2('#skF_1'))
| v3_conlat_1(k7_conlat_2('#skF_1'))
| v3_conlat_1('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_81125]) ).
tff(c_81273,plain,
( r1_tarski('#skF_26'(k7_conlat_2('#skF_1')),u1_conlat_1('#skF_25'))
| ~ l1_conlat_1(k7_conlat_2('#skF_1'))
| v3_conlat_1(k7_conlat_2('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_6,c_81272]) ).
tff(c_83690,plain,
( r1_tarski('#skF_26'(k7_conlat_2('#skF_1')),u1_conlat_1('#skF_25'))
| v3_conlat_1(k7_conlat_2('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_82410,c_81273]) ).
tff(c_83691,plain,
v3_conlat_1(k7_conlat_2('#skF_1')),
inference(splitLeft,[status(thm)],[c_83690]) ).
tff(c_83694,plain,
( ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_83691,c_104]) ).
tff(c_83697,plain,
v3_conlat_1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_83694]) ).
tff(c_83699,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6,c_83697]) ).
tff(c_83701,plain,
~ v3_conlat_1(k7_conlat_2('#skF_1')),
inference(splitRight,[status(thm)],[c_83690]) ).
tff(c_288,plain,
! [A_89] :
( v10_lattices(k11_conlat_1(A_89))
| ~ l2_conlat_1(A_89)
| v3_conlat_1(A_89) ),
inference(cnfTransformation,[status(thm)],[f_608]) ).
tff(c_316,plain,
! [A_91] :
( v10_lattices(k1_lattice2(A_91))
| ~ l3_lattices(A_91)
| ~ v10_lattices(A_91)
| v3_struct_0(A_91) ),
inference(cnfTransformation,[status(thm)],[f_651]) ).
tff(c_78,plain,
! [A_40] :
( m1_lattice4(k10_conlat_2(A_40),k1_lattice2(k11_conlat_1(A_40)),k11_conlat_1(k7_conlat_2(A_40)))
| ~ l2_conlat_1(A_40)
| v3_conlat_1(A_40) ),
inference(cnfTransformation,[status(thm)],[f_236]) ).
tff(c_472,plain,
! [A_144] :
( v3_lattice4(k10_conlat_2(A_144),k1_lattice2(k11_conlat_1(A_144)),k11_conlat_1(k7_conlat_2(A_144)))
| ~ l2_conlat_1(A_144)
| v3_conlat_1(A_144) ),
inference(cnfTransformation,[status(thm)],[f_889]) ).
tff(c_3220,plain,
! [A_638,B_639,C_640] :
( r1_filter_1(A_638,B_639)
| ~ v3_lattice4(C_640,A_638,B_639)
| ~ m1_lattice4(C_640,A_638,B_639)
| ~ l3_lattices(B_639)
| ~ v10_lattices(B_639)
| v3_struct_0(B_639)
| ~ l3_lattices(A_638)
| ~ v10_lattices(A_638)
| v3_struct_0(A_638) ),
inference(cnfTransformation,[status(thm)],[f_200]) ).
tff(c_9800,plain,
! [A_1220] :
( r1_filter_1(k1_lattice2(k11_conlat_1(A_1220)),k11_conlat_1(k7_conlat_2(A_1220)))
| ~ m1_lattice4(k10_conlat_2(A_1220),k1_lattice2(k11_conlat_1(A_1220)),k11_conlat_1(k7_conlat_2(A_1220)))
| ~ l3_lattices(k11_conlat_1(k7_conlat_2(A_1220)))
| ~ v10_lattices(k11_conlat_1(k7_conlat_2(A_1220)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(A_1220)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(A_1220)))
| ~ v10_lattices(k1_lattice2(k11_conlat_1(A_1220)))
| v3_struct_0(k1_lattice2(k11_conlat_1(A_1220)))
| ~ l2_conlat_1(A_1220)
| v3_conlat_1(A_1220) ),
inference(resolution,[status(thm)],[c_472,c_3220]) ).
tff(c_24185,plain,
! [A_1593] :
( r1_filter_1(k1_lattice2(k11_conlat_1(A_1593)),k11_conlat_1(k7_conlat_2(A_1593)))
| ~ l3_lattices(k11_conlat_1(k7_conlat_2(A_1593)))
| ~ v10_lattices(k11_conlat_1(k7_conlat_2(A_1593)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(A_1593)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(A_1593)))
| ~ v10_lattices(k1_lattice2(k11_conlat_1(A_1593)))
| v3_struct_0(k1_lattice2(k11_conlat_1(A_1593)))
| ~ l2_conlat_1(A_1593)
| v3_conlat_1(A_1593) ),
inference(resolution,[status(thm)],[c_78,c_9800]) ).
tff(c_468,plain,
! [B_141,A_140] :
( r1_filter_1(B_141,A_140)
| ~ r1_filter_1(A_140,B_141)
| ~ l3_lattices(B_141)
| ~ v10_lattices(B_141)
| v3_struct_0(B_141)
| ~ l3_lattices(A_140)
| ~ v10_lattices(A_140)
| v3_struct_0(A_140) ),
inference(cnfTransformation,[status(thm)],[f_878]) ).
tff(c_94470,plain,
! [A_2330] :
( r1_filter_1(k11_conlat_1(k7_conlat_2(A_2330)),k1_lattice2(k11_conlat_1(A_2330)))
| ~ l3_lattices(k11_conlat_1(k7_conlat_2(A_2330)))
| ~ v10_lattices(k11_conlat_1(k7_conlat_2(A_2330)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(A_2330)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(A_2330)))
| ~ v10_lattices(k1_lattice2(k11_conlat_1(A_2330)))
| v3_struct_0(k1_lattice2(k11_conlat_1(A_2330)))
| ~ l2_conlat_1(A_2330)
| v3_conlat_1(A_2330) ),
inference(resolution,[status(thm)],[c_24185,c_468]) ).
tff(c_2,plain,
~ r1_filter_1(k11_conlat_1(k7_conlat_2('#skF_1')),k1_lattice2(k11_conlat_1('#skF_1'))),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_94475,plain,
( ~ l3_lattices(k11_conlat_1(k7_conlat_2('#skF_1')))
| ~ v10_lattices(k11_conlat_1(k7_conlat_2('#skF_1')))
| v3_struct_0(k11_conlat_1(k7_conlat_2('#skF_1')))
| ~ l3_lattices(k1_lattice2(k11_conlat_1('#skF_1')))
| ~ v10_lattices(k1_lattice2(k11_conlat_1('#skF_1')))
| v3_struct_0(k1_lattice2(k11_conlat_1('#skF_1')))
| ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_94470,c_2]) ).
tff(c_94482,plain,
( ~ l3_lattices(k11_conlat_1(k7_conlat_2('#skF_1')))
| ~ v10_lattices(k11_conlat_1(k7_conlat_2('#skF_1')))
| v3_struct_0(k11_conlat_1(k7_conlat_2('#skF_1')))
| ~ l3_lattices(k1_lattice2(k11_conlat_1('#skF_1')))
| ~ v10_lattices(k1_lattice2(k11_conlat_1('#skF_1')))
| v3_struct_0(k1_lattice2(k11_conlat_1('#skF_1')))
| v3_conlat_1('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_94475]) ).
tff(c_94483,plain,
( ~ l3_lattices(k11_conlat_1(k7_conlat_2('#skF_1')))
| ~ v10_lattices(k11_conlat_1(k7_conlat_2('#skF_1')))
| v3_struct_0(k11_conlat_1(k7_conlat_2('#skF_1')))
| ~ l3_lattices(k1_lattice2(k11_conlat_1('#skF_1')))
| ~ v10_lattices(k1_lattice2(k11_conlat_1('#skF_1')))
| v3_struct_0(k1_lattice2(k11_conlat_1('#skF_1'))) ),
inference(negUnitSimplification,[status(thm)],[c_6,c_94482]) ).
tff(c_96367,plain,
~ v10_lattices(k1_lattice2(k11_conlat_1('#skF_1'))),
inference(splitLeft,[status(thm)],[c_94483]) ).
tff(c_96371,plain,
( ~ l3_lattices(k11_conlat_1('#skF_1'))
| ~ v10_lattices(k11_conlat_1('#skF_1'))
| v3_struct_0(k11_conlat_1('#skF_1')) ),
inference(resolution,[status(thm)],[c_316,c_96367]) ).
tff(c_96372,plain,
~ v10_lattices(k11_conlat_1('#skF_1')),
inference(splitLeft,[status(thm)],[c_96371]) ).
tff(c_96375,plain,
( ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_288,c_96372]) ).
tff(c_96378,plain,
v3_conlat_1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_96375]) ).
tff(c_96380,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6,c_96378]) ).
tff(c_96381,plain,
( ~ l3_lattices(k11_conlat_1('#skF_1'))
| v3_struct_0(k11_conlat_1('#skF_1')) ),
inference(splitRight,[status(thm)],[c_96371]) ).
tff(c_96383,plain,
~ l3_lattices(k11_conlat_1('#skF_1')),
inference(splitLeft,[status(thm)],[c_96381]) ).
tff(c_96412,plain,
( ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_80,c_96383]) ).
tff(c_96415,plain,
v3_conlat_1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_96412]) ).
tff(c_96417,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6,c_96415]) ).
tff(c_96418,plain,
v3_struct_0(k11_conlat_1('#skF_1')),
inference(splitRight,[status(thm)],[c_96381]) ).
tff(c_304,plain,
! [A_89] :
( ~ v3_struct_0(k11_conlat_1(A_89))
| ~ l2_conlat_1(A_89)
| v3_conlat_1(A_89) ),
inference(cnfTransformation,[status(thm)],[f_608]) ).
tff(c_96430,plain,
( ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_96418,c_304]) ).
tff(c_96433,plain,
v3_conlat_1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_96430]) ).
tff(c_96435,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6,c_96433]) ).
tff(c_96437,plain,
v10_lattices(k1_lattice2(k11_conlat_1('#skF_1'))),
inference(splitRight,[status(thm)],[c_94483]) ).
tff(c_2926,plain,
! [C_577,A_578,B_579] :
( v1_funct_1(C_577)
| ~ m1_lattice4(C_577,A_578,B_579)
| ~ l3_lattices(B_579)
| ~ v10_lattices(B_579)
| v3_struct_0(B_579)
| ~ l3_lattices(A_578)
| ~ v10_lattices(A_578)
| v3_struct_0(A_578) ),
inference(cnfTransformation,[status(thm)],[f_316]) ).
tff(c_8051,plain,
! [A_1051] :
( v1_funct_1(k10_conlat_2(A_1051))
| ~ l3_lattices(k11_conlat_1(k7_conlat_2(A_1051)))
| ~ v10_lattices(k11_conlat_1(k7_conlat_2(A_1051)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(A_1051)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(A_1051)))
| ~ v10_lattices(k1_lattice2(k11_conlat_1(A_1051)))
| v3_struct_0(k1_lattice2(k11_conlat_1(A_1051)))
| ~ l2_conlat_1(A_1051)
| v3_conlat_1(A_1051) ),
inference(resolution,[status(thm)],[c_78,c_2926]) ).
tff(c_202,plain,
! [A_75] :
( ~ v3_struct_0(k1_lattice2(A_75))
| ~ l3_lattices(A_75)
| v3_struct_0(A_75) ),
inference(cnfTransformation,[status(thm)],[f_428]) ).
tff(c_23468,plain,
! [A_1588] :
( ~ l3_lattices(k11_conlat_1(A_1588))
| v3_struct_0(k11_conlat_1(A_1588))
| v1_funct_1(k10_conlat_2(A_1588))
| ~ l3_lattices(k11_conlat_1(k7_conlat_2(A_1588)))
| ~ v10_lattices(k11_conlat_1(k7_conlat_2(A_1588)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(A_1588)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(A_1588)))
| ~ v10_lattices(k1_lattice2(k11_conlat_1(A_1588)))
| ~ l2_conlat_1(A_1588)
| v3_conlat_1(A_1588) ),
inference(resolution,[status(thm)],[c_8051,c_202]) ).
tff(c_23472,plain,
! [A_1588] :
( ~ l2_conlat_1(k7_conlat_2(A_1588))
| v3_conlat_1(k7_conlat_2(A_1588))
| ~ l3_lattices(k11_conlat_1(A_1588))
| v3_struct_0(k11_conlat_1(A_1588))
| v1_funct_1(k10_conlat_2(A_1588))
| ~ l3_lattices(k11_conlat_1(k7_conlat_2(A_1588)))
| ~ v10_lattices(k11_conlat_1(k7_conlat_2(A_1588)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(A_1588)))
| ~ v10_lattices(k1_lattice2(k11_conlat_1(A_1588)))
| ~ l2_conlat_1(A_1588)
| v3_conlat_1(A_1588) ),
inference(resolution,[status(thm)],[c_23468,c_304]) ).
tff(c_96442,plain,
( ~ l2_conlat_1(k7_conlat_2('#skF_1'))
| v3_conlat_1(k7_conlat_2('#skF_1'))
| ~ l3_lattices(k11_conlat_1('#skF_1'))
| v3_struct_0(k11_conlat_1('#skF_1'))
| v1_funct_1(k10_conlat_2('#skF_1'))
| ~ l3_lattices(k11_conlat_1(k7_conlat_2('#skF_1')))
| ~ v10_lattices(k11_conlat_1(k7_conlat_2('#skF_1')))
| ~ l3_lattices(k1_lattice2(k11_conlat_1('#skF_1')))
| ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_96437,c_23472]) ).
tff(c_96445,plain,
( v3_conlat_1(k7_conlat_2('#skF_1'))
| ~ l3_lattices(k11_conlat_1('#skF_1'))
| v3_struct_0(k11_conlat_1('#skF_1'))
| v1_funct_1(k10_conlat_2('#skF_1'))
| ~ l3_lattices(k11_conlat_1(k7_conlat_2('#skF_1')))
| ~ v10_lattices(k11_conlat_1(k7_conlat_2('#skF_1')))
| ~ l3_lattices(k1_lattice2(k11_conlat_1('#skF_1')))
| v3_conlat_1('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_82406,c_96442]) ).
tff(c_96446,plain,
( ~ l3_lattices(k11_conlat_1('#skF_1'))
| v3_struct_0(k11_conlat_1('#skF_1'))
| v1_funct_1(k10_conlat_2('#skF_1'))
| ~ l3_lattices(k11_conlat_1(k7_conlat_2('#skF_1')))
| ~ v10_lattices(k11_conlat_1(k7_conlat_2('#skF_1')))
| ~ l3_lattices(k1_lattice2(k11_conlat_1('#skF_1'))) ),
inference(negUnitSimplification,[status(thm)],[c_6,c_83701,c_96445]) ).
tff(c_96592,plain,
~ l3_lattices(k1_lattice2(k11_conlat_1('#skF_1'))),
inference(splitLeft,[status(thm)],[c_96446]) ).
tff(c_96596,plain,
~ l3_lattices(k11_conlat_1('#skF_1')),
inference(resolution,[status(thm)],[c_86,c_96592]) ).
tff(c_96599,plain,
( ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_80,c_96596]) ).
tff(c_96602,plain,
v3_conlat_1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_96599]) ).
tff(c_96604,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6,c_96602]) ).
tff(c_96605,plain,
( ~ v10_lattices(k11_conlat_1(k7_conlat_2('#skF_1')))
| ~ l3_lattices(k11_conlat_1(k7_conlat_2('#skF_1')))
| ~ l3_lattices(k11_conlat_1('#skF_1'))
| v1_funct_1(k10_conlat_2('#skF_1'))
| v3_struct_0(k11_conlat_1('#skF_1')) ),
inference(splitRight,[status(thm)],[c_96446]) ).
tff(c_96883,plain,
~ l3_lattices(k11_conlat_1('#skF_1')),
inference(splitLeft,[status(thm)],[c_96605]) ).
tff(c_96886,plain,
( ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_80,c_96883]) ).
tff(c_96889,plain,
v3_conlat_1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_96886]) ).
tff(c_96891,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6,c_96889]) ).
tff(c_96893,plain,
l3_lattices(k11_conlat_1('#skF_1')),
inference(splitRight,[status(thm)],[c_96605]) ).
tff(c_96892,plain,
( ~ l3_lattices(k11_conlat_1(k7_conlat_2('#skF_1')))
| ~ v10_lattices(k11_conlat_1(k7_conlat_2('#skF_1')))
| v3_struct_0(k11_conlat_1('#skF_1'))
| v1_funct_1(k10_conlat_2('#skF_1')) ),
inference(splitRight,[status(thm)],[c_96605]) ).
tff(c_97220,plain,
~ v10_lattices(k11_conlat_1(k7_conlat_2('#skF_1'))),
inference(splitLeft,[status(thm)],[c_96892]) ).
tff(c_97223,plain,
( ~ l2_conlat_1(k7_conlat_2('#skF_1'))
| v3_conlat_1(k7_conlat_2('#skF_1')) ),
inference(resolution,[status(thm)],[c_288,c_97220]) ).
tff(c_97226,plain,
v3_conlat_1(k7_conlat_2('#skF_1')),
inference(demodulation,[status(thm),theory(equality)],[c_82406,c_97223]) ).
tff(c_97228,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_83701,c_97226]) ).
tff(c_97229,plain,
( ~ l3_lattices(k11_conlat_1(k7_conlat_2('#skF_1')))
| v1_funct_1(k10_conlat_2('#skF_1'))
| v3_struct_0(k11_conlat_1('#skF_1')) ),
inference(splitRight,[status(thm)],[c_96892]) ).
tff(c_97231,plain,
~ l3_lattices(k11_conlat_1(k7_conlat_2('#skF_1'))),
inference(splitLeft,[status(thm)],[c_97229]) ).
tff(c_97234,plain,
( ~ l2_conlat_1(k7_conlat_2('#skF_1'))
| v3_conlat_1(k7_conlat_2('#skF_1')) ),
inference(resolution,[status(thm)],[c_80,c_97231]) ).
tff(c_97237,plain,
v3_conlat_1(k7_conlat_2('#skF_1')),
inference(demodulation,[status(thm),theory(equality)],[c_82406,c_97234]) ).
tff(c_97239,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_83701,c_97237]) ).
tff(c_97241,plain,
l3_lattices(k11_conlat_1(k7_conlat_2('#skF_1'))),
inference(splitRight,[status(thm)],[c_97229]) ).
tff(c_97230,plain,
v10_lattices(k11_conlat_1(k7_conlat_2('#skF_1'))),
inference(splitRight,[status(thm)],[c_96892]) ).
tff(c_96606,plain,
l3_lattices(k1_lattice2(k11_conlat_1('#skF_1'))),
inference(splitRight,[status(thm)],[c_96446]) ).
tff(c_96436,plain,
( ~ l3_lattices(k1_lattice2(k11_conlat_1('#skF_1')))
| ~ v10_lattices(k11_conlat_1(k7_conlat_2('#skF_1')))
| ~ l3_lattices(k11_conlat_1(k7_conlat_2('#skF_1')))
| v3_struct_0(k1_lattice2(k11_conlat_1('#skF_1')))
| v3_struct_0(k11_conlat_1(k7_conlat_2('#skF_1'))) ),
inference(splitRight,[status(thm)],[c_94483]) ).
tff(c_99693,plain,
( v3_struct_0(k1_lattice2(k11_conlat_1('#skF_1')))
| v3_struct_0(k11_conlat_1(k7_conlat_2('#skF_1'))) ),
inference(demodulation,[status(thm),theory(equality)],[c_97241,c_97230,c_96606,c_96436]) ).
tff(c_99694,plain,
v3_struct_0(k11_conlat_1(k7_conlat_2('#skF_1'))),
inference(splitLeft,[status(thm)],[c_99693]) ).
tff(c_99697,plain,
( ~ l2_conlat_1(k7_conlat_2('#skF_1'))
| v3_conlat_1(k7_conlat_2('#skF_1')) ),
inference(resolution,[status(thm)],[c_99694,c_304]) ).
tff(c_99700,plain,
v3_conlat_1(k7_conlat_2('#skF_1')),
inference(demodulation,[status(thm),theory(equality)],[c_82406,c_99697]) ).
tff(c_99702,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_83701,c_99700]) ).
tff(c_99703,plain,
v3_struct_0(k1_lattice2(k11_conlat_1('#skF_1'))),
inference(splitRight,[status(thm)],[c_99693]) ).
tff(c_99707,plain,
( ~ l3_lattices(k11_conlat_1('#skF_1'))
| v3_struct_0(k11_conlat_1('#skF_1')) ),
inference(resolution,[status(thm)],[c_99703,c_202]) ).
tff(c_99710,plain,
v3_struct_0(k11_conlat_1('#skF_1')),
inference(demodulation,[status(thm),theory(equality)],[c_96893,c_99707]) ).
tff(c_99713,plain,
( ~ l2_conlat_1('#skF_1')
| v3_conlat_1('#skF_1') ),
inference(resolution,[status(thm)],[c_99710,c_304]) ).
tff(c_99716,plain,
v3_conlat_1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_99713]) ).
tff(c_99718,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6,c_99716]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : LAT346+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.14 % 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
% 0.17/0.36 % Computer : n028.cluster.edu
% 0.17/0.36 % Model : x86_64 x86_64
% 0.17/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.36 % Memory : 8042.1875MB
% 0.17/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.36 % CPULimit : 300
% 0.17/0.36 % WCLimit : 300
% 0.17/0.36 % DateTime : Thu Aug 3 13:06:54 EDT 2023
% 0.17/0.36 % CPUTime :
% 47.85/30.08 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 47.96/30.10
% 47.96/30.10 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 47.96/30.15
% 47.96/30.15 Inference rules
% 47.96/30.15 ----------------------
% 47.96/30.15 #Ref : 38
% 47.96/30.15 #Sup : 22611
% 47.96/30.15 #Fact : 12
% 47.96/30.15 #Define : 0
% 47.96/30.15 #Split : 169
% 47.96/30.15 #Chain : 0
% 47.96/30.15 #Close : 0
% 47.96/30.15
% 47.96/30.15 Ordering : KBO
% 47.96/30.15
% 47.96/30.15 Simplification rules
% 47.96/30.15 ----------------------
% 47.96/30.15 #Subsume : 7581
% 47.96/30.15 #Demod : 24558
% 47.96/30.15 #Tautology : 5603
% 47.96/30.15 #SimpNegUnit : 5026
% 47.96/30.15 #BackRed : 979
% 47.96/30.15
% 47.96/30.15 #Partial instantiations: 0
% 47.96/30.15 #Strategies tried : 1
% 47.96/30.15
% 47.96/30.15 Timing (in seconds)
% 47.96/30.15 ----------------------
% 47.96/30.16 Preprocessing : 0.79
% 47.96/30.16 Parsing : 0.40
% 47.96/30.16 CNF conversion : 0.07
% 47.96/30.16 Main loop : 28.25
% 47.96/30.16 Inferencing : 5.89
% 47.96/30.16 Reduction : 13.49
% 47.96/30.16 Demodulation : 10.87
% 47.96/30.16 BG Simplification : 0.20
% 47.96/30.16 Subsumption : 6.65
% 47.96/30.16 Abstraction : 0.29
% 47.96/30.16 MUC search : 0.00
% 47.96/30.16 Cooper : 0.00
% 47.96/30.16 Total : 29.14
% 47.96/30.16 Index Insertion : 0.00
% 47.96/30.16 Index Deletion : 0.00
% 47.96/30.16 Index Matching : 0.00
% 47.96/30.16 BG Taut test : 0.00
%------------------------------------------------------------------------------