TSTP Solution File: LAT338+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LAT338+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n010.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 : Thu Aug 31 06:01:38 EDT 2023
% Result : Theorem 25.38s 25.45s
% Output : CNFRefutation 25.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 116
% Syntax : Number of formulae : 235 ( 15 unt; 93 typ; 0 def)
% Number of atoms : 514 ( 34 equ)
% Maximal formula atoms : 24 ( 3 avg)
% Number of connectives : 590 ( 218 ~; 250 |; 88 &)
% ( 3 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 115 ( 77 >; 38 *; 0 +; 0 <<)
% Number of predicates : 41 ( 39 usr; 1 prp; 0-3 aty)
% Number of functors : 54 ( 54 usr; 16 con; 0-3 aty)
% Number of variables : 209 ( 21 sgn; 99 !; 4 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
v3_conlat_1: $i > $o ).
tff(decl_23,type,
l2_conlat_1: $i > $o ).
tff(decl_24,type,
k11_conlat_1: $i > $i ).
tff(decl_25,type,
u1_struct_0: $i > $i ).
tff(decl_26,type,
k1_zfmisc_1: $i > $i ).
tff(decl_27,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(decl_28,type,
k16_lattice3: ( $i * $i ) > $i ).
tff(decl_29,type,
v7_conlat_1: ( $i * $i ) > $o ).
tff(decl_30,type,
v9_conlat_1: ( $i * $i ) > $o ).
tff(decl_31,type,
l3_conlat_1: ( $i * $i ) > $o ).
tff(decl_32,type,
k15_lattice3: ( $i * $i ) > $i ).
tff(decl_33,type,
l3_lattices: $i > $o ).
tff(decl_34,type,
v3_lattices: $i > $o ).
tff(decl_35,type,
u2_lattices: $i > $i ).
tff(decl_36,type,
u1_lattices: $i > $i ).
tff(decl_37,type,
g3_lattices: ( $i * $i * $i ) > $i ).
tff(decl_38,type,
l1_conlat_1: $i > $o ).
tff(decl_39,type,
v6_conlat_1: ( $i * $i ) > $o ).
tff(decl_40,type,
u4_conlat_1: ( $i * $i ) > $i ).
tff(decl_41,type,
u5_conlat_1: ( $i * $i ) > $i ).
tff(decl_42,type,
g3_conlat_1: ( $i * $i * $i ) > $i ).
tff(decl_43,type,
r2_hidden: ( $i * $i ) > $o ).
tff(decl_44,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_45,type,
v1_funct_1: $i > $o ).
tff(decl_46,type,
v1_partfun1: ( $i * $i * $i ) > $o ).
tff(decl_47,type,
v1_funct_2: ( $i * $i * $i ) > $o ).
tff(decl_48,type,
v3_struct_0: $i > $o ).
tff(decl_49,type,
v10_lattices: $i > $o ).
tff(decl_50,type,
v4_lattices: $i > $o ).
tff(decl_51,type,
v5_lattices: $i > $o ).
tff(decl_52,type,
v6_lattices: $i > $o ).
tff(decl_53,type,
v7_lattices: $i > $o ).
tff(decl_54,type,
v8_lattices: $i > $o ).
tff(decl_55,type,
v9_lattices: $i > $o ).
tff(decl_56,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff(decl_57,type,
v1_relat_1: $i > $o ).
tff(decl_58,type,
v8_conlat_1: ( $i * $i ) > $o ).
tff(decl_59,type,
v13_lattices: $i > $o ).
tff(decl_60,type,
v14_lattices: $i > $o ).
tff(decl_61,type,
v15_lattices: $i > $o ).
tff(decl_62,type,
v1_xboole_0: $i > $o ).
tff(decl_63,type,
a_2_1_lattice3: ( $i * $i ) > $i ).
tff(decl_64,type,
k8_conlat_1: $i > $i ).
tff(decl_65,type,
k10_conlat_1: $i > $i ).
tff(decl_66,type,
k9_conlat_1: $i > $i ).
tff(decl_67,type,
u1_conlat_1: $i > $i ).
tff(decl_68,type,
u2_conlat_1: $i > $i ).
tff(decl_69,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_70,type,
k7_conlat_1: $i > $i ).
tff(decl_71,type,
m1_conlat_1: ( $i * $i ) > $o ).
tff(decl_72,type,
l1_lattices: $i > $o ).
tff(decl_73,type,
l1_struct_0: $i > $o ).
tff(decl_74,type,
l2_lattices: $i > $o ).
tff(decl_75,type,
v4_lattice3: $i > $o ).
tff(decl_76,type,
k1_xboole_0: $i ).
tff(decl_77,type,
v1_binop_1: ( $i * $i ) > $o ).
tff(decl_78,type,
v2_binop_1: ( $i * $i ) > $o ).
tff(decl_79,type,
r3_lattice3: ( $i * $i * $i ) > $o ).
tff(decl_80,type,
r1_tarski: ( $i * $i ) > $o ).
tff(decl_81,type,
esk1_0: $i ).
tff(decl_82,type,
esk2_0: $i ).
tff(decl_83,type,
esk3_0: $i ).
tff(decl_84,type,
esk4_0: $i ).
tff(decl_85,type,
esk5_0: $i ).
tff(decl_86,type,
esk6_0: $i ).
tff(decl_87,type,
esk7_0: $i ).
tff(decl_88,type,
esk8_1: $i > $i ).
tff(decl_89,type,
esk9_0: $i ).
tff(decl_90,type,
esk10_1: $i > $i ).
tff(decl_91,type,
esk11_2: ( $i * $i ) > $i ).
tff(decl_92,type,
esk12_1: $i > $i ).
tff(decl_93,type,
esk13_2: ( $i * $i ) > $i ).
tff(decl_94,type,
esk14_3: ( $i * $i * $i ) > $i ).
tff(decl_95,type,
esk15_1: $i > $i ).
tff(decl_96,type,
esk16_1: $i > $i ).
tff(decl_97,type,
esk17_0: $i ).
tff(decl_98,type,
esk18_1: $i > $i ).
tff(decl_99,type,
esk19_1: $i > $i ).
tff(decl_100,type,
esk20_1: $i > $i ).
tff(decl_101,type,
esk21_2: ( $i * $i ) > $i ).
tff(decl_102,type,
esk22_1: $i > $i ).
tff(decl_103,type,
esk23_0: $i ).
tff(decl_104,type,
esk24_2: ( $i * $i ) > $i ).
tff(decl_105,type,
esk25_1: $i > $i ).
tff(decl_106,type,
esk26_0: $i ).
tff(decl_107,type,
esk27_0: $i ).
tff(decl_108,type,
esk28_0: $i ).
tff(decl_109,type,
esk29_1: $i > $i ).
tff(decl_110,type,
esk30_0: $i ).
tff(decl_111,type,
esk31_1: $i > $i ).
tff(decl_112,type,
esk32_1: $i > $i ).
tff(decl_113,type,
esk33_0: $i ).
tff(decl_114,type,
esk34_2: ( $i * $i ) > $i ).
fof(t2_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,X2)
=> ( v1_xboole_0(X2)
| r2_hidden(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(existence_m1_subset_1,axiom,
! [X1] :
? [X2] : m1_subset_1(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(t4_subset,axiom,
! [X1,X2,X3] :
( ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3)) )
=> m1_subset_1(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(t5_subset,axiom,
! [X1,X2,X3] :
~ ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3))
& v1_xboole_0(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_subset) ).
fof(t6_boole,axiom,
! [X1] :
( v1_xboole_0(X1)
=> X1 = k1_xboole_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(rc2_subset_1,axiom,
! [X1] :
? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_subset_1) ).
fof(dt_k10_conlat_1,axiom,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ( v1_funct_1(k10_conlat_1(X1))
& v1_funct_2(k10_conlat_1(X1),k2_zfmisc_1(k8_conlat_1(X1),k8_conlat_1(X1)),k8_conlat_1(X1))
& m2_relset_1(k10_conlat_1(X1),k2_zfmisc_1(k8_conlat_1(X1),k8_conlat_1(X1)),k8_conlat_1(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k10_conlat_1) ).
fof(dt_k9_conlat_1,axiom,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ( v1_funct_1(k9_conlat_1(X1))
& v1_funct_2(k9_conlat_1(X1),k2_zfmisc_1(k8_conlat_1(X1),k8_conlat_1(X1)),k8_conlat_1(X1))
& m2_relset_1(k9_conlat_1(X1),k2_zfmisc_1(k8_conlat_1(X1),k8_conlat_1(X1)),k8_conlat_1(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k9_conlat_1) ).
fof(antisymmetry_r2_hidden,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> ~ r2_hidden(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(t35_conlat_1,axiom,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ! [X2] :
( r2_hidden(X2,k8_conlat_1(X1))
<=> ( v6_conlat_1(X2,X1)
& ~ v7_conlat_1(X2,X1)
& v9_conlat_1(X2,X1)
& l3_conlat_1(X2,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t35_conlat_1) ).
fof(rc14_conlat_1,axiom,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ? [X2] :
( l3_conlat_1(X2,X1)
& v6_conlat_1(X2,X1)
& ~ v7_conlat_1(X2,X1)
& v9_conlat_1(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc14_conlat_1) ).
fof(d23_conlat_1,axiom,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> k11_conlat_1(X1) = g3_lattices(k8_conlat_1(X1),k10_conlat_1(X1),k9_conlat_1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d23_conlat_1) ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(free_g3_lattices,axiom,
! [X1,X2,X3] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1) )
=> ! [X4,X5,X6] :
( g3_lattices(X1,X2,X3) = g3_lattices(X4,X5,X6)
=> ( X1 = X4
& X2 = X5
& X3 = X6 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',free_g3_lattices) ).
fof(dt_k11_conlat_1,axiom,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ( ~ v3_struct_0(k11_conlat_1(X1))
& v3_lattices(k11_conlat_1(X1))
& l3_lattices(k11_conlat_1(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k11_conlat_1) ).
fof(abstractness_v3_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( v3_lattices(X1)
=> X1 = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abstractness_v3_lattices) ).
fof(t8_boole,axiom,
! [X1,X2] :
~ ( v1_xboole_0(X1)
& X1 != X2
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_boole) ).
fof(dt_k15_lattice3,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> m1_subset_1(k15_lattice3(X1,X2),u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k15_lattice3) ).
fof(fc1_xboole_0,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(d22_lattice3,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ! [X2] : k16_lattice3(X1,X2) = k15_lattice3(X1,a_2_1_lattice3(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d22_lattice3) ).
fof(t4_conlat_2,conjecture,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X1))))
=> ( ~ v7_conlat_1(k16_lattice3(k11_conlat_1(X1),X2),X1)
& v9_conlat_1(k16_lattice3(k11_conlat_1(X1),X2),X1)
& l3_conlat_1(k16_lattice3(k11_conlat_1(X1),X2),X1)
& ~ v7_conlat_1(k15_lattice3(k11_conlat_1(X1),X2),X1)
& v9_conlat_1(k15_lattice3(k11_conlat_1(X1),X2),X1)
& l3_conlat_1(k15_lattice3(k11_conlat_1(X1),X2),X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_conlat_2) ).
fof(dt_k16_lattice3,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> m1_subset_1(k16_lattice3(X1,X2),u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k16_lattice3) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( r2_hidden(X1,X2)
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(c_0_23,plain,
! [X158,X159] :
( ~ m1_subset_1(X158,X159)
| v1_xboole_0(X159)
| r2_hidden(X158,X159) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
fof(c_0_24,plain,
! [X78] : m1_subset_1(esk12_1(X78),X78),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).
fof(c_0_25,plain,
! [X167,X168,X169] :
( ~ r2_hidden(X167,X168)
| ~ m1_subset_1(X168,k1_zfmisc_1(X169))
| m1_subset_1(X167,X169) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).
cnf(c_0_26,plain,
( v1_xboole_0(X2)
| r2_hidden(X1,X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_27,plain,
m1_subset_1(esk12_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_28,plain,
! [X170,X171,X172] :
( ~ r2_hidden(X170,X171)
| ~ m1_subset_1(X171,k1_zfmisc_1(X172))
| ~ v1_xboole_0(X172) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).
cnf(c_0_29,plain,
( m1_subset_1(X1,X3)
| ~ r2_hidden(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_30,plain,
( v1_xboole_0(X1)
| r2_hidden(esk12_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_31,plain,
( ~ r2_hidden(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ v1_xboole_0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_32,plain,
( v1_xboole_0(X1)
| m1_subset_1(esk12_1(X1),X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_33,plain,
( v1_xboole_0(X1)
| ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(spm,[status(thm)],[c_0_31,c_0_30]) ).
fof(c_0_34,plain,
! [X173] :
( ~ v1_xboole_0(X173)
| X173 = k1_xboole_0 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])]) ).
fof(c_0_35,plain,
! [X138] :
( m1_subset_1(esk25_1(X138),k1_zfmisc_1(X138))
& v1_xboole_0(esk25_1(X138)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_subset_1])]) ).
cnf(c_0_36,plain,
( v1_xboole_0(esk12_1(k1_zfmisc_1(X1)))
| m1_subset_1(esk12_1(esk12_1(k1_zfmisc_1(X1))),X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_27]) ).
cnf(c_0_37,plain,
( v1_xboole_0(esk12_1(k1_zfmisc_1(X1)))
| ~ v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_27]) ).
cnf(c_0_38,plain,
( X1 = k1_xboole_0
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_39,plain,
v1_xboole_0(esk25_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_40,plain,
( v1_xboole_0(esk12_1(k1_zfmisc_1(X1)))
| r2_hidden(esk12_1(esk12_1(k1_zfmisc_1(X1))),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_36]),c_0_37]) ).
cnf(c_0_41,plain,
m1_subset_1(esk25_1(X1),k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_42,plain,
esk25_1(X1) = k1_xboole_0,
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
fof(c_0_43,plain,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ( v1_funct_1(k10_conlat_1(X1))
& v1_funct_2(k10_conlat_1(X1),k2_zfmisc_1(k8_conlat_1(X1),k8_conlat_1(X1)),k8_conlat_1(X1))
& m2_relset_1(k10_conlat_1(X1),k2_zfmisc_1(k8_conlat_1(X1),k8_conlat_1(X1)),k8_conlat_1(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k10_conlat_1]) ).
fof(c_0_44,plain,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ( v1_funct_1(k9_conlat_1(X1))
& v1_funct_2(k9_conlat_1(X1),k2_zfmisc_1(k8_conlat_1(X1),k8_conlat_1(X1)),k8_conlat_1(X1))
& m2_relset_1(k9_conlat_1(X1),k2_zfmisc_1(k8_conlat_1(X1),k8_conlat_1(X1)),k8_conlat_1(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k9_conlat_1]) ).
fof(c_0_45,plain,
! [X1,X2] :
( r2_hidden(X1,X2)
=> ~ r2_hidden(X2,X1) ),
inference(fof_simplification,[status(thm)],[antisymmetry_r2_hidden]) ).
cnf(c_0_46,plain,
( v1_xboole_0(esk12_1(k1_zfmisc_1(X1)))
| m1_subset_1(esk12_1(esk12_1(k1_zfmisc_1(X1))),X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(spm,[status(thm)],[c_0_29,c_0_40]) ).
cnf(c_0_47,plain,
m1_subset_1(k1_xboole_0,k1_zfmisc_1(X1)),
inference(rw,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_48,plain,
( v1_xboole_0(esk12_1(k1_zfmisc_1(X1)))
| ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(spm,[status(thm)],[c_0_31,c_0_40]) ).
fof(c_0_49,plain,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ! [X2] :
( r2_hidden(X2,k8_conlat_1(X1))
<=> ( v6_conlat_1(X2,X1)
& ~ v7_conlat_1(X2,X1)
& v9_conlat_1(X2,X1)
& l3_conlat_1(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[t35_conlat_1]) ).
fof(c_0_50,plain,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ? [X2] :
( l3_conlat_1(X2,X1)
& v6_conlat_1(X2,X1)
& ~ v7_conlat_1(X2,X1)
& v9_conlat_1(X2,X1) ) ),
inference(fof_simplification,[status(thm)],[rc14_conlat_1]) ).
fof(c_0_51,plain,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> k11_conlat_1(X1) = g3_lattices(k8_conlat_1(X1),k10_conlat_1(X1),k9_conlat_1(X1)) ),
inference(fof_simplification,[status(thm)],[d23_conlat_1]) ).
fof(c_0_52,plain,
! [X152,X153,X154] :
( ( ~ m2_relset_1(X154,X152,X153)
| m1_relset_1(X154,X152,X153) )
& ( ~ m1_relset_1(X154,X152,X153)
| m2_relset_1(X154,X152,X153) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
fof(c_0_53,plain,
! [X41] :
( ( v1_funct_1(k10_conlat_1(X41))
| v3_conlat_1(X41)
| ~ l2_conlat_1(X41) )
& ( v1_funct_2(k10_conlat_1(X41),k2_zfmisc_1(k8_conlat_1(X41),k8_conlat_1(X41)),k8_conlat_1(X41))
| v3_conlat_1(X41)
| ~ l2_conlat_1(X41) )
& ( m2_relset_1(k10_conlat_1(X41),k2_zfmisc_1(k8_conlat_1(X41),k8_conlat_1(X41)),k8_conlat_1(X41))
| v3_conlat_1(X41)
| ~ l2_conlat_1(X41) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])])]) ).
fof(c_0_54,plain,
! [X49] :
( ( v1_funct_1(k9_conlat_1(X49))
| v3_conlat_1(X49)
| ~ l2_conlat_1(X49) )
& ( v1_funct_2(k9_conlat_1(X49),k2_zfmisc_1(k8_conlat_1(X49),k8_conlat_1(X49)),k8_conlat_1(X49))
| v3_conlat_1(X49)
| ~ l2_conlat_1(X49) )
& ( m2_relset_1(k9_conlat_1(X49),k2_zfmisc_1(k8_conlat_1(X49),k8_conlat_1(X49)),k8_conlat_1(X49))
| v3_conlat_1(X49)
| ~ l2_conlat_1(X49) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])])]) ).
fof(c_0_55,plain,
! [X12,X13] :
( ~ r2_hidden(X12,X13)
| ~ r2_hidden(X13,X12) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])]) ).
cnf(c_0_56,plain,
( v1_xboole_0(esk12_1(k1_zfmisc_1(k1_xboole_0)))
| m1_subset_1(esk12_1(esk12_1(k1_zfmisc_1(k1_xboole_0))),X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_57,plain,
( v1_xboole_0(esk12_1(k1_zfmisc_1(k1_xboole_0)))
| ~ v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_47]) ).
fof(c_0_58,plain,
! [X163,X164] :
( ( v6_conlat_1(X164,X163)
| ~ r2_hidden(X164,k8_conlat_1(X163))
| v3_conlat_1(X163)
| ~ l2_conlat_1(X163) )
& ( ~ v7_conlat_1(X164,X163)
| ~ r2_hidden(X164,k8_conlat_1(X163))
| v3_conlat_1(X163)
| ~ l2_conlat_1(X163) )
& ( v9_conlat_1(X164,X163)
| ~ r2_hidden(X164,k8_conlat_1(X163))
| v3_conlat_1(X163)
| ~ l2_conlat_1(X163) )
& ( l3_conlat_1(X164,X163)
| ~ r2_hidden(X164,k8_conlat_1(X163))
| v3_conlat_1(X163)
| ~ l2_conlat_1(X163) )
& ( ~ v6_conlat_1(X164,X163)
| v7_conlat_1(X164,X163)
| ~ v9_conlat_1(X164,X163)
| ~ l3_conlat_1(X164,X163)
| r2_hidden(X164,k8_conlat_1(X163))
| v3_conlat_1(X163)
| ~ l2_conlat_1(X163) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_49])])])]) ).
fof(c_0_59,plain,
! [X127] :
( ( l3_conlat_1(esk20_1(X127),X127)
| v3_conlat_1(X127)
| ~ l2_conlat_1(X127) )
& ( v6_conlat_1(esk20_1(X127),X127)
| v3_conlat_1(X127)
| ~ l2_conlat_1(X127) )
& ( ~ v7_conlat_1(esk20_1(X127),X127)
| v3_conlat_1(X127)
| ~ l2_conlat_1(X127) )
& ( v9_conlat_1(esk20_1(X127),X127)
| v3_conlat_1(X127)
| ~ l2_conlat_1(X127) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_50])])])]) ).
fof(c_0_60,plain,
! [X112,X113,X114,X115,X116,X117] :
( ( X112 = X115
| g3_lattices(X112,X113,X114) != g3_lattices(X115,X116,X117)
| ~ v1_funct_1(X113)
| ~ v1_funct_2(X113,k2_zfmisc_1(X112,X112),X112)
| ~ m1_relset_1(X113,k2_zfmisc_1(X112,X112),X112)
| ~ v1_funct_1(X114)
| ~ v1_funct_2(X114,k2_zfmisc_1(X112,X112),X112)
| ~ m1_relset_1(X114,k2_zfmisc_1(X112,X112),X112) )
& ( X113 = X116
| g3_lattices(X112,X113,X114) != g3_lattices(X115,X116,X117)
| ~ v1_funct_1(X113)
| ~ v1_funct_2(X113,k2_zfmisc_1(X112,X112),X112)
| ~ m1_relset_1(X113,k2_zfmisc_1(X112,X112),X112)
| ~ v1_funct_1(X114)
| ~ v1_funct_2(X114,k2_zfmisc_1(X112,X112),X112)
| ~ m1_relset_1(X114,k2_zfmisc_1(X112,X112),X112) )
& ( X114 = X117
| g3_lattices(X112,X113,X114) != g3_lattices(X115,X116,X117)
| ~ v1_funct_1(X113)
| ~ v1_funct_2(X113,k2_zfmisc_1(X112,X112),X112)
| ~ m1_relset_1(X113,k2_zfmisc_1(X112,X112),X112)
| ~ v1_funct_1(X114)
| ~ v1_funct_2(X114,k2_zfmisc_1(X112,X112),X112)
| ~ m1_relset_1(X114,k2_zfmisc_1(X112,X112),X112) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[free_g3_lattices])])])]) ).
fof(c_0_61,plain,
! [X34] :
( v3_conlat_1(X34)
| ~ l2_conlat_1(X34)
| k11_conlat_1(X34) = g3_lattices(k8_conlat_1(X34),k10_conlat_1(X34),k9_conlat_1(X34)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_51])]) ).
cnf(c_0_62,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_63,plain,
( m2_relset_1(k10_conlat_1(X1),k2_zfmisc_1(k8_conlat_1(X1),k8_conlat_1(X1)),k8_conlat_1(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_64,plain,
( m2_relset_1(k9_conlat_1(X1),k2_zfmisc_1(k8_conlat_1(X1),k8_conlat_1(X1)),k8_conlat_1(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
fof(c_0_65,plain,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ( ~ v3_struct_0(k11_conlat_1(X1))
& v3_lattices(k11_conlat_1(X1))
& l3_lattices(k11_conlat_1(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k11_conlat_1]) ).
cnf(c_0_66,plain,
( ~ r2_hidden(X1,X2)
| ~ r2_hidden(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_67,plain,
( v1_xboole_0(esk12_1(k1_zfmisc_1(k1_xboole_0)))
| r2_hidden(esk12_1(esk12_1(k1_zfmisc_1(k1_xboole_0))),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_56]),c_0_57]) ).
cnf(c_0_68,plain,
( v7_conlat_1(X1,X2)
| r2_hidden(X1,k8_conlat_1(X2))
| v3_conlat_1(X2)
| ~ v6_conlat_1(X1,X2)
| ~ v9_conlat_1(X1,X2)
| ~ l3_conlat_1(X1,X2)
| ~ l2_conlat_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_69,plain,
( v9_conlat_1(esk20_1(X1),X1)
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_70,plain,
( l3_conlat_1(esk20_1(X1),X1)
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_71,plain,
( v6_conlat_1(esk20_1(X1),X1)
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_72,plain,
( v3_conlat_1(X1)
| ~ v7_conlat_1(esk20_1(X1),X1)
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_73,plain,
( X1 = X2
| g3_lattices(X1,X3,X4) != g3_lattices(X2,X5,X6)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_74,plain,
( v3_conlat_1(X1)
| k11_conlat_1(X1) = g3_lattices(k8_conlat_1(X1),k10_conlat_1(X1),k9_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_75,plain,
( m1_relset_1(k10_conlat_1(X1),k2_zfmisc_1(k8_conlat_1(X1),k8_conlat_1(X1)),k8_conlat_1(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_76,plain,
( m1_relset_1(k9_conlat_1(X1),k2_zfmisc_1(k8_conlat_1(X1),k8_conlat_1(X1)),k8_conlat_1(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(spm,[status(thm)],[c_0_62,c_0_64]) ).
cnf(c_0_77,plain,
( v1_funct_1(k10_conlat_1(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_78,plain,
( v1_funct_1(k9_conlat_1(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_79,plain,
( v1_funct_2(k10_conlat_1(X1),k2_zfmisc_1(k8_conlat_1(X1),k8_conlat_1(X1)),k8_conlat_1(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_80,plain,
( v1_funct_2(k9_conlat_1(X1),k2_zfmisc_1(k8_conlat_1(X1),k8_conlat_1(X1)),k8_conlat_1(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
fof(c_0_81,plain,
! [X9] :
( ~ l3_lattices(X9)
| ~ v3_lattices(X9)
| X9 = g3_lattices(u1_struct_0(X9),u2_lattices(X9),u1_lattices(X9)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v3_lattices])]) ).
fof(c_0_82,plain,
! [X42] :
( ( ~ v3_struct_0(k11_conlat_1(X42))
| v3_conlat_1(X42)
| ~ l2_conlat_1(X42) )
& ( v3_lattices(k11_conlat_1(X42))
| v3_conlat_1(X42)
| ~ l2_conlat_1(X42) )
& ( l3_lattices(k11_conlat_1(X42))
| v3_conlat_1(X42)
| ~ l2_conlat_1(X42) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_65])])]) ).
fof(c_0_83,plain,
! [X176,X177] :
( ~ v1_xboole_0(X176)
| X176 = X177
| ~ v1_xboole_0(X177) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_boole])]) ).
cnf(c_0_84,plain,
( v1_xboole_0(esk12_1(k1_zfmisc_1(k1_xboole_0)))
| ~ r2_hidden(X1,esk12_1(esk12_1(k1_zfmisc_1(k1_xboole_0)))) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
fof(c_0_85,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> m1_subset_1(k15_lattice3(X1,X2),u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[dt_k15_lattice3]) ).
cnf(c_0_86,plain,
( r2_hidden(esk20_1(X1),k8_conlat_1(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70]),c_0_71]),c_0_72]) ).
cnf(c_0_87,plain,
( k8_conlat_1(X1) = X2
| v3_conlat_1(X1)
| k11_conlat_1(X1) != g3_lattices(X2,X3,X4)
| ~ l2_conlat_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75]),c_0_76]),c_0_77]),c_0_78]),c_0_79]),c_0_80]) ).
cnf(c_0_88,plain,
( X1 = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| ~ l3_lattices(X1)
| ~ v3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_89,plain,
( l3_lattices(k11_conlat_1(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_90,plain,
( v3_lattices(k11_conlat_1(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_91,plain,
( X1 = X2
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_92,plain,
v1_xboole_0(esk12_1(k1_zfmisc_1(k1_xboole_0))),
inference(spm,[status(thm)],[c_0_84,c_0_67]) ).
fof(c_0_93,plain,
! [X43,X44] :
( v3_struct_0(X43)
| ~ l3_lattices(X43)
| m1_subset_1(k15_lattice3(X43,X44),u1_struct_0(X43)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_85])]) ).
cnf(c_0_94,plain,
( v3_conlat_1(X1)
| ~ v1_xboole_0(X2)
| ~ m1_subset_1(k8_conlat_1(X1),k1_zfmisc_1(X2))
| ~ l2_conlat_1(X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_86]) ).
cnf(c_0_95,plain,
( k8_conlat_1(X1) = u1_struct_0(k11_conlat_1(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88])]),c_0_89]),c_0_90]) ).
cnf(c_0_96,plain,
( m1_subset_1(X1,X2)
| ~ v1_xboole_0(esk12_1(X2))
| ~ v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_91]) ).
cnf(c_0_97,plain,
esk12_1(k1_zfmisc_1(k1_xboole_0)) = k1_xboole_0,
inference(spm,[status(thm)],[c_0_38,c_0_92]) ).
cnf(c_0_98,plain,
v1_xboole_0(k1_xboole_0),
inference(split_conjunct,[status(thm)],[fc1_xboole_0]) ).
cnf(c_0_99,plain,
( v9_conlat_1(X1,X2)
| v3_conlat_1(X2)
| ~ r2_hidden(X1,k8_conlat_1(X2))
| ~ l2_conlat_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_100,plain,
( v3_struct_0(X1)
| m1_subset_1(k15_lattice3(X1,X2),u1_struct_0(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_101,plain,
( v3_conlat_1(X1)
| ~ v1_xboole_0(X2)
| ~ m1_subset_1(u1_struct_0(k11_conlat_1(X1)),k1_zfmisc_1(X2))
| ~ l2_conlat_1(X1) ),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_102,plain,
( m1_subset_1(X1,k1_zfmisc_1(k1_xboole_0))
| ~ v1_xboole_0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_98])]) ).
fof(c_0_103,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ! [X2] : k16_lattice3(X1,X2) = k15_lattice3(X1,a_2_1_lattice3(X1,X2)) ),
inference(fof_simplification,[status(thm)],[d22_lattice3]) ).
fof(c_0_104,negated_conjecture,
~ ! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X1))))
=> ( ~ v7_conlat_1(k16_lattice3(k11_conlat_1(X1),X2),X1)
& v9_conlat_1(k16_lattice3(k11_conlat_1(X1),X2),X1)
& l3_conlat_1(k16_lattice3(k11_conlat_1(X1),X2),X1)
& ~ v7_conlat_1(k15_lattice3(k11_conlat_1(X1),X2),X1)
& v9_conlat_1(k15_lattice3(k11_conlat_1(X1),X2),X1)
& l3_conlat_1(k15_lattice3(k11_conlat_1(X1),X2),X1) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t4_conlat_2])]) ).
cnf(c_0_105,plain,
( v9_conlat_1(X1,X2)
| v3_conlat_1(X2)
| ~ r2_hidden(X1,u1_struct_0(k11_conlat_1(X2)))
| ~ l2_conlat_1(X2) ),
inference(spm,[status(thm)],[c_0_99,c_0_95]) ).
cnf(c_0_106,plain,
( v1_xboole_0(u1_struct_0(X1))
| v3_struct_0(X1)
| r2_hidden(k15_lattice3(X1,X2),u1_struct_0(X1))
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_100]) ).
cnf(c_0_107,plain,
( v3_conlat_1(X1)
| ~ v3_struct_0(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_108,plain,
( v3_conlat_1(X1)
| ~ v1_xboole_0(u1_struct_0(k11_conlat_1(X1)))
| ~ l2_conlat_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_98])]) ).
fof(c_0_109,plain,
! [X32,X33] :
( v3_struct_0(X32)
| ~ l3_lattices(X32)
| k16_lattice3(X32,X33) = k15_lattice3(X32,a_2_1_lattice3(X32,X33)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_103])])]) ).
fof(c_0_110,negated_conjecture,
( ~ v3_conlat_1(esk1_0)
& l2_conlat_1(esk1_0)
& m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(k11_conlat_1(esk1_0))))
& ( v7_conlat_1(k16_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0)
| ~ v9_conlat_1(k16_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0)
| ~ l3_conlat_1(k16_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0)
| v7_conlat_1(k15_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0)
| ~ v9_conlat_1(k15_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0)
| ~ l3_conlat_1(k15_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_104])])]) ).
cnf(c_0_111,plain,
( v9_conlat_1(k15_lattice3(k11_conlat_1(X1),X2),X1)
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_89]),c_0_107]),c_0_108]) ).
cnf(c_0_112,plain,
( v3_struct_0(X1)
| k16_lattice3(X1,X2) = k15_lattice3(X1,a_2_1_lattice3(X1,X2))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_113,plain,
( l3_conlat_1(X1,X2)
| v3_conlat_1(X2)
| ~ r2_hidden(X1,k8_conlat_1(X2))
| ~ l2_conlat_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_114,negated_conjecture,
( v7_conlat_1(k16_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0)
| v7_conlat_1(k15_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0)
| ~ v9_conlat_1(k16_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0)
| ~ l3_conlat_1(k16_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0)
| ~ v9_conlat_1(k15_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0)
| ~ l3_conlat_1(k15_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_110]) ).
cnf(c_0_115,plain,
( v9_conlat_1(k16_lattice3(k11_conlat_1(X1),X2),X1)
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_89]),c_0_107]) ).
cnf(c_0_116,negated_conjecture,
l2_conlat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_110]) ).
cnf(c_0_117,negated_conjecture,
~ v3_conlat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_110]) ).
cnf(c_0_118,plain,
( l3_conlat_1(X1,X2)
| v3_conlat_1(X2)
| ~ r2_hidden(X1,u1_struct_0(k11_conlat_1(X2)))
| ~ l2_conlat_1(X2) ),
inference(spm,[status(thm)],[c_0_113,c_0_95]) ).
cnf(c_0_119,negated_conjecture,
( v7_conlat_1(k15_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0)
| v7_conlat_1(k16_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0)
| ~ l3_conlat_1(k16_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0)
| ~ l3_conlat_1(k15_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0)
| ~ v9_conlat_1(k15_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_116])]),c_0_117]) ).
cnf(c_0_120,plain,
( l3_conlat_1(k15_lattice3(k11_conlat_1(X1),X2),X1)
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_106]),c_0_89]),c_0_107]),c_0_108]) ).
cnf(c_0_121,negated_conjecture,
( v7_conlat_1(k16_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0)
| v7_conlat_1(k15_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0)
| ~ l3_conlat_1(k16_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0)
| ~ l3_conlat_1(k15_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_111]),c_0_116])]),c_0_117]) ).
cnf(c_0_122,plain,
( l3_conlat_1(k16_lattice3(k11_conlat_1(X1),X2),X1)
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_112]),c_0_89]),c_0_107]) ).
cnf(c_0_123,negated_conjecture,
( v7_conlat_1(k15_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0)
| v7_conlat_1(k16_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0)
| ~ l3_conlat_1(k15_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_116])]),c_0_117]) ).
cnf(c_0_124,plain,
( v3_conlat_1(X2)
| ~ v7_conlat_1(X1,X2)
| ~ r2_hidden(X1,k8_conlat_1(X2))
| ~ l2_conlat_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_125,negated_conjecture,
( v7_conlat_1(k16_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0)
| v7_conlat_1(k15_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_120]),c_0_116])]),c_0_117]) ).
cnf(c_0_126,negated_conjecture,
( v7_conlat_1(k16_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0)
| ~ r2_hidden(k15_lattice3(k11_conlat_1(esk1_0),esk2_0),k8_conlat_1(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_116])]),c_0_117]) ).
cnf(c_0_127,negated_conjecture,
( v7_conlat_1(k16_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0)
| ~ r2_hidden(k15_lattice3(k11_conlat_1(esk1_0),esk2_0),u1_struct_0(k11_conlat_1(esk1_0))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_95]),c_0_116])]),c_0_117]) ).
cnf(c_0_128,negated_conjecture,
( v1_xboole_0(u1_struct_0(k11_conlat_1(esk1_0)))
| v3_struct_0(k11_conlat_1(esk1_0))
| v7_conlat_1(k16_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0)
| ~ l3_lattices(k11_conlat_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_127,c_0_106]) ).
fof(c_0_129,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> m1_subset_1(k16_lattice3(X1,X2),u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[dt_k16_lattice3]) ).
cnf(c_0_130,negated_conjecture,
( v1_xboole_0(u1_struct_0(k11_conlat_1(esk1_0)))
| v3_struct_0(k11_conlat_1(esk1_0))
| v7_conlat_1(k16_lattice3(k11_conlat_1(esk1_0),esk2_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_89]),c_0_116])]),c_0_117]) ).
fof(c_0_131,plain,
! [X174,X175] :
( ~ r2_hidden(X174,X175)
| ~ v1_xboole_0(X175) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
fof(c_0_132,plain,
! [X45,X46] :
( v3_struct_0(X45)
| ~ l3_lattices(X45)
| m1_subset_1(k16_lattice3(X45,X46),u1_struct_0(X45)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_129])]) ).
cnf(c_0_133,negated_conjecture,
( v1_xboole_0(u1_struct_0(k11_conlat_1(esk1_0)))
| v3_struct_0(k11_conlat_1(esk1_0))
| ~ r2_hidden(k16_lattice3(k11_conlat_1(esk1_0),esk2_0),k8_conlat_1(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_130]),c_0_116])]),c_0_117]) ).
cnf(c_0_134,plain,
( ~ r2_hidden(X1,X2)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_131]) ).
cnf(c_0_135,plain,
( v3_struct_0(X1)
| m1_subset_1(k16_lattice3(X1,X2),u1_struct_0(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_132]) ).
cnf(c_0_136,negated_conjecture,
( v3_struct_0(k11_conlat_1(esk1_0))
| ~ r2_hidden(k16_lattice3(k11_conlat_1(esk1_0),esk2_0),u1_struct_0(k11_conlat_1(esk1_0))) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_95]),c_0_116])]),c_0_117]),c_0_134]) ).
cnf(c_0_137,plain,
( v1_xboole_0(u1_struct_0(X1))
| v3_struct_0(X1)
| r2_hidden(k16_lattice3(X1,X2),u1_struct_0(X1))
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_135]) ).
cnf(c_0_138,negated_conjecture,
( v1_xboole_0(u1_struct_0(k11_conlat_1(esk1_0)))
| v3_struct_0(k11_conlat_1(esk1_0))
| ~ l3_lattices(k11_conlat_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_136,c_0_137]) ).
cnf(c_0_139,negated_conjecture,
( v1_xboole_0(u1_struct_0(k11_conlat_1(esk1_0)))
| v3_struct_0(k11_conlat_1(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_89]),c_0_116])]),c_0_117]) ).
cnf(c_0_140,negated_conjecture,
v3_struct_0(k11_conlat_1(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_139]),c_0_116])]),c_0_117]) ).
cnf(c_0_141,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_140]),c_0_116])]),c_0_117]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT338+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.16/0.34 % Computer : n010.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Thu Aug 24 06:16:21 EDT 2023
% 0.16/0.34 % CPUTime :
% 0.20/0.56 start to proof: theBenchmark
% 25.38/25.45 % Version : CSE_E---1.5
% 25.38/25.45 % Problem : theBenchmark.p
% 25.38/25.45 % Proof found
% 25.38/25.45 % SZS status Theorem for theBenchmark.p
% 25.38/25.45 % SZS output start Proof
% See solution above
% 25.38/25.46 % Total time : 24.871000 s
% 25.38/25.46 % SZS output end Proof
% 25.38/25.46 % Total time : 24.877000 s
%------------------------------------------------------------------------------