TSTP Solution File: LAT309+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LAT309+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 : n021.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 06:01:06 EDT 2023
% Result : Theorem 1.08s 1.20s
% Output : CNFRefutation 1.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 95
% Syntax : Number of formulae : 187 ( 10 unt; 78 typ; 0 def)
% Number of atoms : 598 ( 72 equ)
% Maximal formula atoms : 36 ( 5 avg)
% Number of connectives : 735 ( 246 ~; 300 |; 134 &)
% ( 4 <=>; 51 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 91 ( 61 >; 30 *; 0 +; 0 <<)
% Number of predicates : 37 ( 35 usr; 1 prp; 0-3 aty)
% Number of functors : 43 ( 43 usr; 17 con; 0-3 aty)
% Number of variables : 127 ( 0 sgn; 89 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
v3_struct_0: $i > $o ).
tff(decl_23,type,
v10_lattices: $i > $o ).
tff(decl_24,type,
l3_lattices: $i > $o ).
tff(decl_25,type,
u1_struct_0: $i > $i ).
tff(decl_26,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(decl_27,type,
v14_lattices: $i > $o ).
tff(decl_28,type,
k6_lattices: $i > $i ).
tff(decl_29,type,
m2_filter_2: ( $i * $i ) > $o ).
tff(decl_30,type,
r2_hidden: ( $i * $i ) > $o ).
tff(decl_31,type,
r2_filter_2: ( $i * $i ) > $o ).
tff(decl_32,type,
v3_lattices: $i > $o ).
tff(decl_33,type,
u2_lattices: $i > $i ).
tff(decl_34,type,
u1_lattices: $i > $i ).
tff(decl_35,type,
g3_lattices: ( $i * $i * $i ) > $i ).
tff(decl_36,type,
v1_xboole_0: $i > $o ).
tff(decl_37,type,
v1_funct_1: $i > $o ).
tff(decl_38,type,
v4_lattices: $i > $o ).
tff(decl_39,type,
v5_lattices: $i > $o ).
tff(decl_40,type,
v6_lattices: $i > $o ).
tff(decl_41,type,
v7_lattices: $i > $o ).
tff(decl_42,type,
v8_lattices: $i > $o ).
tff(decl_43,type,
v9_lattices: $i > $o ).
tff(decl_44,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff(decl_45,type,
k1_zfmisc_1: $i > $i ).
tff(decl_46,type,
v1_relat_1: $i > $o ).
tff(decl_47,type,
v2_funct_1: $i > $o ).
tff(decl_48,type,
v13_lattices: $i > $o ).
tff(decl_49,type,
v15_lattices: $i > $o ).
tff(decl_50,type,
k1_lattice2: $i > $i ).
tff(decl_51,type,
k5_filter_2: ( $i * $i ) > $i ).
tff(decl_52,type,
k7_filter_2: ( $i * $i ) > $i ).
tff(decl_53,type,
k8_filter_2: ( $i * $i ) > $i ).
tff(decl_54,type,
v1_funct_2: ( $i * $i * $i ) > $o ).
tff(decl_55,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_56,type,
m1_filter_0: ( $i * $i ) > $o ).
tff(decl_57,type,
k14_filter_2: ( $i * $i ) > $i ).
tff(decl_58,type,
k15_filter_2: ( $i * $i ) > $i ).
tff(decl_59,type,
m1_filter_2: ( $i * $i ) > $o ).
tff(decl_60,type,
l1_lattices: $i > $o ).
tff(decl_61,type,
k5_lattices: $i > $i ).
tff(decl_62,type,
l2_lattices: $i > $o ).
tff(decl_63,type,
l1_struct_0: $i > $o ).
tff(decl_64,type,
m2_lattice4: ( $i * $i ) > $o ).
tff(decl_65,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_66,type,
k1_xboole_0: $i ).
tff(decl_67,type,
v1_binop_1: ( $i * $i ) > $o ).
tff(decl_68,type,
v1_partfun1: ( $i * $i * $i ) > $o ).
tff(decl_69,type,
v2_binop_1: ( $i * $i ) > $o ).
tff(decl_70,type,
r1_tarski: ( $i * $i ) > $o ).
tff(decl_71,type,
v1_filter_0: ( $i * $i ) > $o ).
tff(decl_72,type,
esk1_0: $i ).
tff(decl_73,type,
esk2_0: $i ).
tff(decl_74,type,
esk3_0: $i ).
tff(decl_75,type,
esk4_0: $i ).
tff(decl_76,type,
esk5_0: $i ).
tff(decl_77,type,
esk6_0: $i ).
tff(decl_78,type,
esk7_1: $i > $i ).
tff(decl_79,type,
esk8_1: $i > $i ).
tff(decl_80,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_81,type,
esk10_1: $i > $i ).
tff(decl_82,type,
esk11_1: $i > $i ).
tff(decl_83,type,
esk12_1: $i > $i ).
tff(decl_84,type,
esk13_2: ( $i * $i ) > $i ).
tff(decl_85,type,
esk14_0: $i ).
tff(decl_86,type,
esk15_0: $i ).
tff(decl_87,type,
esk16_1: $i > $i ).
tff(decl_88,type,
esk17_1: $i > $i ).
tff(decl_89,type,
esk18_0: $i ).
tff(decl_90,type,
esk19_0: $i ).
tff(decl_91,type,
esk20_1: $i > $i ).
tff(decl_92,type,
esk21_0: $i ).
tff(decl_93,type,
esk22_0: $i ).
tff(decl_94,type,
esk23_0: $i ).
tff(decl_95,type,
esk24_0: $i ).
tff(decl_96,type,
esk25_1: $i > $i ).
tff(decl_97,type,
esk26_0: $i ).
tff(decl_98,type,
esk27_0: $i ).
tff(decl_99,type,
esk28_2: ( $i * $i ) > $i ).
fof(d4_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> k5_filter_2(X1,X2) = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_filter_2) ).
fof(t36_filter_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ~ ( v14_lattices(X1)
& X2 != k6_lattices(X1)
& ! [X3] :
( m2_filter_2(X3,X1)
=> ~ ( r2_hidden(X2,X3)
& r2_filter_2(X1,X3) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t36_filter_2) ).
fof(t24_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ~ ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v13_lattices(X1)
& l3_lattices(X1)
& X2 != k5_lattices(X1)
& ! [X3] :
( m1_filter_0(X3,X1)
=> ~ ( r2_hidden(X2,X3)
& v1_filter_0(X3,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_filter_0) ).
fof(dt_k5_filter_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> m1_subset_1(k5_filter_2(X1,X2),u1_struct_0(k1_lattice2(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_filter_2) ).
fof(t64_lattice2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( v14_lattices(X1)
<=> v13_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t64_lattice2) ).
fof(fc6_lattice2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_lattice2) ).
fof(dt_m1_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_filter_0) ).
fof(dt_k1_lattice2,axiom,
! [X1] :
( l3_lattices(X1)
=> ( v3_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_lattice2) ).
fof(dt_k14_filter_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_filter_0(X2,k1_lattice2(X1)) )
=> m2_filter_2(k14_filter_2(X1,X2),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k14_filter_2) ).
fof(redefinition_k14_filter_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_filter_0(X2,k1_lattice2(X1)) )
=> k14_filter_2(X1,X2) = k8_filter_2(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k14_filter_2) ).
fof(dt_k8_filter_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) )
=> m1_subset_1(k8_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_filter_2) ).
fof(d7_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
=> k8_filter_2(X1,X2) = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d7_filter_2) ).
fof(d6_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> k7_filter_2(X1,X2) = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d6_filter_2) ).
fof(redefinition_k15_filter_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m2_filter_2(X2,X1) )
=> k15_filter_2(X1,X2) = k7_filter_2(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k15_filter_2) ).
fof(t33_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( r2_filter_2(X1,X2)
<=> v1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t33_filter_2) ).
fof(t79_lattice2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v14_lattices(X1)
& l3_lattices(X1) )
=> k6_lattices(X1) = k5_lattices(k1_lattice2(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t79_lattice2) ).
fof(fc1_lattice2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_lattice2) ).
fof(c_0_17,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> k5_filter_2(X1,X2) = X2 ) ),
inference(fof_simplification,[status(thm)],[d4_filter_2]) ).
fof(c_0_18,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ~ ( v14_lattices(X1)
& X2 != k6_lattices(X1)
& ! [X3] :
( m2_filter_2(X3,X1)
=> ~ ( r2_hidden(X2,X3)
& r2_filter_2(X1,X3) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t36_filter_2])]) ).
fof(c_0_19,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ~ ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v13_lattices(X1)
& l3_lattices(X1)
& X2 != k5_lattices(X1)
& ! [X3] :
( m1_filter_0(X3,X1)
=> ~ ( r2_hidden(X2,X3)
& v1_filter_0(X3,X1) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t24_filter_0]) ).
fof(c_0_20,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> m1_subset_1(k5_filter_2(X1,X2),u1_struct_0(k1_lattice2(X1))) ),
inference(fof_simplification,[status(thm)],[dt_k5_filter_2]) ).
fof(c_0_21,plain,
! [X23,X24] :
( v3_struct_0(X23)
| ~ v10_lattices(X23)
| ~ l3_lattices(X23)
| ~ m1_subset_1(X24,u1_struct_0(X23))
| k5_filter_2(X23,X24) = X24 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])]) ).
fof(c_0_22,negated_conjecture,
! [X9] :
( ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& l3_lattices(esk1_0)
& m1_subset_1(esk2_0,u1_struct_0(esk1_0))
& v14_lattices(esk1_0)
& esk2_0 != k6_lattices(esk1_0)
& ( ~ m2_filter_2(X9,esk1_0)
| ~ r2_hidden(esk2_0,X9)
| ~ r2_filter_2(esk1_0,X9) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])]) ).
fof(c_0_23,plain,
! [X134,X135] :
( ( m1_filter_0(esk28_2(X134,X135),X134)
| v3_struct_0(X134)
| ~ v10_lattices(X134)
| ~ v13_lattices(X134)
| ~ l3_lattices(X134)
| X135 = k5_lattices(X134)
| ~ m1_subset_1(X135,u1_struct_0(X134))
| v3_struct_0(X134)
| ~ v10_lattices(X134)
| ~ l3_lattices(X134) )
& ( r2_hidden(X135,esk28_2(X134,X135))
| v3_struct_0(X134)
| ~ v10_lattices(X134)
| ~ v13_lattices(X134)
| ~ l3_lattices(X134)
| X135 = k5_lattices(X134)
| ~ m1_subset_1(X135,u1_struct_0(X134))
| v3_struct_0(X134)
| ~ v10_lattices(X134)
| ~ l3_lattices(X134) )
& ( v1_filter_0(esk28_2(X134,X135),X134)
| v3_struct_0(X134)
| ~ v10_lattices(X134)
| ~ v13_lattices(X134)
| ~ l3_lattices(X134)
| X135 = k5_lattices(X134)
| ~ m1_subset_1(X135,u1_struct_0(X134))
| v3_struct_0(X134)
| ~ v10_lattices(X134)
| ~ l3_lattices(X134) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])])]) ).
fof(c_0_24,plain,
! [X37,X38] :
( v3_struct_0(X37)
| ~ v10_lattices(X37)
| ~ l3_lattices(X37)
| ~ m1_subset_1(X38,u1_struct_0(X37))
| m1_subset_1(k5_filter_2(X37,X38),u1_struct_0(k1_lattice2(X37))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])]) ).
cnf(c_0_25,plain,
( v3_struct_0(X1)
| k5_filter_2(X1,X2) = X2
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_26,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_27,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_28,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_29,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_30,plain,
( m1_filter_0(esk28_2(X1,X2),X1)
| v3_struct_0(X1)
| X2 = k5_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v13_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_31,plain,
( v3_struct_0(X1)
| m1_subset_1(k5_filter_2(X1,X2),u1_struct_0(k1_lattice2(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_32,negated_conjecture,
k5_filter_2(esk1_0,esk2_0) = esk2_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]),c_0_28])]),c_0_29]) ).
fof(c_0_33,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( v14_lattices(X1)
<=> v13_lattices(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[t64_lattice2]) ).
cnf(c_0_34,plain,
( X2 = k5_lattices(X1)
| v3_struct_0(X1)
| m1_filter_0(esk28_2(X1,X2),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v13_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(cn,[status(thm)],[c_0_30]) ).
cnf(c_0_35,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(k1_lattice2(esk1_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_26]),c_0_32]),c_0_27]),c_0_28])]),c_0_29]) ).
fof(c_0_36,plain,
! [X149] :
( ( ~ v14_lattices(X149)
| v13_lattices(k1_lattice2(X149))
| v3_struct_0(X149)
| ~ v10_lattices(X149)
| ~ l3_lattices(X149) )
& ( ~ v13_lattices(k1_lattice2(X149))
| v14_lattices(X149)
| v3_struct_0(X149)
| ~ v10_lattices(X149)
| ~ l3_lattices(X149) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])]) ).
fof(c_0_37,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc6_lattice2]) ).
cnf(c_0_38,negated_conjecture,
( k5_lattices(k1_lattice2(esk1_0)) = esk2_0
| m1_filter_0(esk28_2(k1_lattice2(esk1_0),esk2_0),k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ v13_lattices(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_39,plain,
( v13_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v14_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_40,negated_conjecture,
v14_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_41,plain,
! [X97] :
( ( ~ v3_struct_0(k1_lattice2(X97))
| v3_struct_0(X97)
| ~ v10_lattices(X97)
| ~ l3_lattices(X97) )
& ( v3_lattices(k1_lattice2(X97))
| v3_struct_0(X97)
| ~ v10_lattices(X97)
| ~ l3_lattices(X97) )
& ( v4_lattices(k1_lattice2(X97))
| v3_struct_0(X97)
| ~ v10_lattices(X97)
| ~ l3_lattices(X97) )
& ( v5_lattices(k1_lattice2(X97))
| v3_struct_0(X97)
| ~ v10_lattices(X97)
| ~ l3_lattices(X97) )
& ( v6_lattices(k1_lattice2(X97))
| v3_struct_0(X97)
| ~ v10_lattices(X97)
| ~ l3_lattices(X97) )
& ( v7_lattices(k1_lattice2(X97))
| v3_struct_0(X97)
| ~ v10_lattices(X97)
| ~ l3_lattices(X97) )
& ( v8_lattices(k1_lattice2(X97))
| v3_struct_0(X97)
| ~ v10_lattices(X97)
| ~ l3_lattices(X97) )
& ( v9_lattices(k1_lattice2(X97))
| v3_struct_0(X97)
| ~ v10_lattices(X97)
| ~ l3_lattices(X97) )
& ( v10_lattices(k1_lattice2(X97))
| v3_struct_0(X97)
| ~ v10_lattices(X97)
| ~ l3_lattices(X97) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])]) ).
fof(c_0_42,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ) ),
inference(fof_simplification,[status(thm)],[dt_m1_filter_0]) ).
cnf(c_0_43,negated_conjecture,
( k5_lattices(k1_lattice2(esk1_0)) = esk2_0
| m1_filter_0(esk28_2(k1_lattice2(esk1_0),esk2_0),k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]),c_0_27]),c_0_28])]),c_0_29]) ).
cnf(c_0_44,plain,
( v10_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
fof(c_0_45,plain,
! [X36] :
( ( v3_lattices(k1_lattice2(X36))
| ~ l3_lattices(X36) )
& ( l3_lattices(k1_lattice2(X36))
| ~ l3_lattices(X36) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_lattice2])])]) ).
fof(c_0_46,plain,
! [X48,X49] :
( ( ~ v1_xboole_0(X49)
| ~ m1_filter_0(X49,X48)
| v3_struct_0(X48)
| ~ v10_lattices(X48)
| ~ l3_lattices(X48) )
& ( m1_subset_1(X49,k1_zfmisc_1(u1_struct_0(X48)))
| ~ m1_filter_0(X49,X48)
| v3_struct_0(X48)
| ~ v10_lattices(X48)
| ~ l3_lattices(X48) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_42])])])]) ).
cnf(c_0_47,negated_conjecture,
( k5_lattices(k1_lattice2(esk1_0)) = esk2_0
| m1_filter_0(esk28_2(k1_lattice2(esk1_0),esk2_0),k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_27]),c_0_28])]),c_0_29]) ).
cnf(c_0_48,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_49,plain,
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| v3_struct_0(X2)
| ~ m1_filter_0(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_50,negated_conjecture,
( k5_lattices(k1_lattice2(esk1_0)) = esk2_0
| m1_filter_0(esk28_2(k1_lattice2(esk1_0),esk2_0),k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_27])]) ).
fof(c_0_51,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_filter_0(X2,k1_lattice2(X1)) )
=> m2_filter_2(k14_filter_2(X1,X2),X1) ),
inference(fof_simplification,[status(thm)],[dt_k14_filter_2]) ).
fof(c_0_52,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_filter_0(X2,k1_lattice2(X1)) )
=> k14_filter_2(X1,X2) = k8_filter_2(X1,X2) ),
inference(fof_simplification,[status(thm)],[redefinition_k14_filter_2]) ).
fof(c_0_53,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) )
=> m1_subset_1(k8_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(fof_simplification,[status(thm)],[dt_k8_filter_2]) ).
cnf(c_0_54,negated_conjecture,
( k5_lattices(k1_lattice2(esk1_0)) = esk2_0
| m1_subset_1(esk28_2(k1_lattice2(esk1_0),esk2_0),k1_zfmisc_1(u1_struct_0(k1_lattice2(esk1_0))))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
fof(c_0_55,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
=> k8_filter_2(X1,X2) = X2 ) ),
inference(fof_simplification,[status(thm)],[d7_filter_2]) ).
fof(c_0_56,plain,
! [X32,X33] :
( v3_struct_0(X32)
| ~ v10_lattices(X32)
| ~ l3_lattices(X32)
| ~ m1_filter_0(X33,k1_lattice2(X32))
| m2_filter_2(k14_filter_2(X32,X33),X32) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_51])]) ).
fof(c_0_57,plain,
! [X122,X123] :
( v3_struct_0(X122)
| ~ v10_lattices(X122)
| ~ l3_lattices(X122)
| ~ m1_filter_0(X123,k1_lattice2(X122))
| k14_filter_2(X122,X123) = k8_filter_2(X122,X123) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_52])]) ).
fof(c_0_58,plain,
! [X43,X44] :
( v3_struct_0(X43)
| ~ v10_lattices(X43)
| ~ l3_lattices(X43)
| ~ m1_subset_1(X44,k1_zfmisc_1(u1_struct_0(k1_lattice2(X43))))
| m1_subset_1(k8_filter_2(X43,X44),k1_zfmisc_1(u1_struct_0(X43))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])]) ).
cnf(c_0_59,negated_conjecture,
( k5_lattices(k1_lattice2(esk1_0)) = esk2_0
| m1_subset_1(esk28_2(k1_lattice2(esk1_0),esk2_0),k1_zfmisc_1(u1_struct_0(k1_lattice2(esk1_0))))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_44]),c_0_27]),c_0_28])]),c_0_29]) ).
fof(c_0_60,plain,
! [X27,X28] :
( v3_struct_0(X27)
| ~ v10_lattices(X27)
| ~ l3_lattices(X27)
| ~ m1_subset_1(X28,k1_zfmisc_1(u1_struct_0(k1_lattice2(X27))))
| k8_filter_2(X27,X28) = X28 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_55])])]) ).
cnf(c_0_61,plain,
( v3_struct_0(X1)
| m2_filter_2(k14_filter_2(X1,X2),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_0(X2,k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_62,plain,
( v3_struct_0(X1)
| k14_filter_2(X1,X2) = k8_filter_2(X1,X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_0(X2,k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_63,plain,
( v1_filter_0(esk28_2(X1,X2),X1)
| v3_struct_0(X1)
| X2 = k5_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v13_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_64,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> k7_filter_2(X1,X2) = X2 ) ),
inference(fof_simplification,[status(thm)],[d6_filter_2]) ).
cnf(c_0_65,plain,
( v3_struct_0(X1)
| m1_subset_1(k8_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_66,negated_conjecture,
( k5_lattices(k1_lattice2(esk1_0)) = esk2_0
| m1_subset_1(esk28_2(k1_lattice2(esk1_0),esk2_0),k1_zfmisc_1(u1_struct_0(k1_lattice2(esk1_0))))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_48]),c_0_27])]) ).
cnf(c_0_67,plain,
( v3_struct_0(X1)
| k8_filter_2(X1,X2) = X2
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
fof(c_0_68,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m2_filter_2(X2,X1) )
=> k15_filter_2(X1,X2) = k7_filter_2(X1,X2) ),
inference(fof_simplification,[status(thm)],[redefinition_k15_filter_2]) ).
cnf(c_0_69,negated_conjecture,
( k5_lattices(k1_lattice2(esk1_0)) = esk2_0
| m2_filter_2(k14_filter_2(esk1_0,esk28_2(k1_lattice2(esk1_0),esk2_0)),esk1_0)
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_50]),c_0_27]),c_0_28])]),c_0_29]) ).
cnf(c_0_70,negated_conjecture,
( k14_filter_2(esk1_0,esk28_2(k1_lattice2(esk1_0),esk2_0)) = k8_filter_2(esk1_0,esk28_2(k1_lattice2(esk1_0),esk2_0))
| k5_lattices(k1_lattice2(esk1_0)) = esk2_0
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_50]),c_0_27]),c_0_28])]),c_0_29]) ).
cnf(c_0_71,plain,
( X2 = k5_lattices(X1)
| v3_struct_0(X1)
| v1_filter_0(esk28_2(X1,X2),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v13_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(cn,[status(thm)],[c_0_63]) ).
cnf(c_0_72,plain,
( r2_hidden(X1,esk28_2(X2,X1))
| v3_struct_0(X2)
| X1 = k5_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v13_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_73,plain,
! [X25,X26] :
( v3_struct_0(X25)
| ~ v10_lattices(X25)
| ~ l3_lattices(X25)
| ~ m1_subset_1(X26,k1_zfmisc_1(u1_struct_0(X25)))
| k7_filter_2(X25,X26) = X26 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_64])])]) ).
cnf(c_0_74,negated_conjecture,
( k5_lattices(k1_lattice2(esk1_0)) = esk2_0
| m1_subset_1(k8_filter_2(esk1_0,esk28_2(k1_lattice2(esk1_0),esk2_0)),k1_zfmisc_1(u1_struct_0(esk1_0)))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_27]),c_0_28])]),c_0_29]) ).
cnf(c_0_75,negated_conjecture,
( k8_filter_2(esk1_0,esk28_2(k1_lattice2(esk1_0),esk2_0)) = esk28_2(k1_lattice2(esk1_0),esk2_0)
| k5_lattices(k1_lattice2(esk1_0)) = esk2_0
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_66]),c_0_27]),c_0_28])]),c_0_29]) ).
fof(c_0_76,plain,
! [X124,X125] :
( v3_struct_0(X124)
| ~ v10_lattices(X124)
| ~ l3_lattices(X124)
| ~ m2_filter_2(X125,X124)
| k15_filter_2(X124,X125) = k7_filter_2(X124,X125) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_68])]) ).
cnf(c_0_77,negated_conjecture,
( k5_lattices(k1_lattice2(esk1_0)) = esk2_0
| m2_filter_2(k8_filter_2(esk1_0,esk28_2(k1_lattice2(esk1_0),esk2_0)),esk1_0)
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_78,negated_conjecture,
( k5_lattices(k1_lattice2(esk1_0)) = esk2_0
| v1_filter_0(esk28_2(k1_lattice2(esk1_0),esk2_0),k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ v13_lattices(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_71,c_0_35]) ).
cnf(c_0_79,plain,
( X1 = k5_lattices(X2)
| v3_struct_0(X2)
| r2_hidden(X1,esk28_2(X2,X1))
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ v13_lattices(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2)) ),
inference(cn,[status(thm)],[c_0_72]) ).
fof(c_0_80,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( r2_filter_2(X1,X2)
<=> v1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1)) ) ) ),
inference(fof_simplification,[status(thm)],[t33_filter_2]) ).
cnf(c_0_81,plain,
( v3_struct_0(X1)
| k7_filter_2(X1,X2) = X2
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_82,negated_conjecture,
( k5_lattices(k1_lattice2(esk1_0)) = esk2_0
| m1_subset_1(esk28_2(k1_lattice2(esk1_0),esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0)))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_83,plain,
( v3_struct_0(X1)
| k15_filter_2(X1,X2) = k7_filter_2(X1,X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_84,negated_conjecture,
( k5_lattices(k1_lattice2(esk1_0)) = esk2_0
| m2_filter_2(esk28_2(k1_lattice2(esk1_0),esk2_0),esk1_0)
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_77,c_0_75]) ).
cnf(c_0_85,negated_conjecture,
( k5_lattices(k1_lattice2(esk1_0)) = esk2_0
| v1_filter_0(esk28_2(k1_lattice2(esk1_0),esk2_0),k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_39]),c_0_40]),c_0_27]),c_0_28])]),c_0_29]) ).
cnf(c_0_86,negated_conjecture,
( k5_lattices(k1_lattice2(esk1_0)) = esk2_0
| r2_hidden(esk2_0,esk28_2(k1_lattice2(esk1_0),esk2_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ v13_lattices(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_79,c_0_35]) ).
fof(c_0_87,plain,
! [X139,X140] :
( ( ~ r2_filter_2(X139,X140)
| v1_filter_0(k15_filter_2(X139,X140),k1_lattice2(X139))
| ~ m2_filter_2(X140,X139)
| v3_struct_0(X139)
| ~ v10_lattices(X139)
| ~ l3_lattices(X139) )
& ( ~ v1_filter_0(k15_filter_2(X139,X140),k1_lattice2(X139))
| r2_filter_2(X139,X140)
| ~ m2_filter_2(X140,X139)
| v3_struct_0(X139)
| ~ v10_lattices(X139)
| ~ l3_lattices(X139) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_80])])])]) ).
cnf(c_0_88,negated_conjecture,
( k7_filter_2(esk1_0,esk28_2(k1_lattice2(esk1_0),esk2_0)) = esk28_2(k1_lattice2(esk1_0),esk2_0)
| k5_lattices(k1_lattice2(esk1_0)) = esk2_0
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_27]),c_0_28])]),c_0_29]) ).
cnf(c_0_89,negated_conjecture,
( k7_filter_2(esk1_0,esk28_2(k1_lattice2(esk1_0),esk2_0)) = k15_filter_2(esk1_0,esk28_2(k1_lattice2(esk1_0),esk2_0))
| k5_lattices(k1_lattice2(esk1_0)) = esk2_0
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_27]),c_0_28])]),c_0_29]) ).
cnf(c_0_90,negated_conjecture,
( k5_lattices(k1_lattice2(esk1_0)) = esk2_0
| v1_filter_0(esk28_2(k1_lattice2(esk1_0),esk2_0),k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_44]),c_0_27]),c_0_28])]),c_0_29]) ).
cnf(c_0_91,negated_conjecture,
( k5_lattices(k1_lattice2(esk1_0)) = esk2_0
| r2_hidden(esk2_0,esk28_2(k1_lattice2(esk1_0),esk2_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_39]),c_0_40]),c_0_27]),c_0_28])]),c_0_29]) ).
fof(c_0_92,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v14_lattices(X1)
& l3_lattices(X1) )
=> k6_lattices(X1) = k5_lattices(k1_lattice2(X1)) ),
inference(fof_simplification,[status(thm)],[t79_lattice2]) ).
cnf(c_0_93,plain,
( r2_filter_2(X1,X2)
| v3_struct_0(X1)
| ~ v1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1))
| ~ m2_filter_2(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_94,negated_conjecture,
( k15_filter_2(esk1_0,esk28_2(k1_lattice2(esk1_0),esk2_0)) = esk28_2(k1_lattice2(esk1_0),esk2_0)
| k5_lattices(k1_lattice2(esk1_0)) = esk2_0
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_95,negated_conjecture,
( k5_lattices(k1_lattice2(esk1_0)) = esk2_0
| v1_filter_0(esk28_2(k1_lattice2(esk1_0),esk2_0),k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_48]),c_0_27])]) ).
cnf(c_0_96,negated_conjecture,
( k5_lattices(k1_lattice2(esk1_0)) = esk2_0
| r2_hidden(esk2_0,esk28_2(k1_lattice2(esk1_0),esk2_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_44]),c_0_27]),c_0_28])]),c_0_29]) ).
fof(c_0_97,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc1_lattice2]) ).
fof(c_0_98,plain,
! [X151] :
( v3_struct_0(X151)
| ~ v10_lattices(X151)
| ~ v14_lattices(X151)
| ~ l3_lattices(X151)
| k6_lattices(X151) = k5_lattices(k1_lattice2(X151)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_92])]) ).
cnf(c_0_99,negated_conjecture,
( ~ m2_filter_2(X1,esk1_0)
| ~ r2_hidden(esk2_0,X1)
| ~ r2_filter_2(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_100,negated_conjecture,
( k5_lattices(k1_lattice2(esk1_0)) = esk2_0
| r2_filter_2(esk1_0,esk28_2(k1_lattice2(esk1_0),esk2_0))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_27]),c_0_28])]),c_0_29]),c_0_84]),c_0_95]) ).
cnf(c_0_101,negated_conjecture,
( k5_lattices(k1_lattice2(esk1_0)) = esk2_0
| r2_hidden(esk2_0,esk28_2(k1_lattice2(esk1_0),esk2_0))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_48]),c_0_27])]) ).
fof(c_0_102,plain,
! [X83] :
( ( ~ v3_struct_0(k1_lattice2(X83))
| v3_struct_0(X83)
| ~ l3_lattices(X83) )
& ( v3_lattices(k1_lattice2(X83))
| v3_struct_0(X83)
| ~ l3_lattices(X83) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_97])])]) ).
cnf(c_0_103,plain,
( v3_struct_0(X1)
| k6_lattices(X1) = k5_lattices(k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ v14_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_104,negated_conjecture,
( k5_lattices(k1_lattice2(esk1_0)) = esk2_0
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_84]),c_0_101]) ).
cnf(c_0_105,negated_conjecture,
esk2_0 != k6_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_106,plain,
( v3_struct_0(X1)
| ~ v3_struct_0(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_107,negated_conjecture,
v3_struct_0(k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_40]),c_0_27]),c_0_28])]),c_0_105]),c_0_29]) ).
cnf(c_0_108,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_27])]),c_0_29]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT309+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
% 0.13/0.34 % Computer : n021.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 24 07:40:25 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.57 start to proof: theBenchmark
% 1.08/1.20 % Version : CSE_E---1.5
% 1.08/1.20 % Problem : theBenchmark.p
% 1.08/1.20 % Proof found
% 1.08/1.20 % SZS status Theorem for theBenchmark.p
% 1.08/1.20 % SZS output start Proof
% See solution above
% 1.18/1.21 % Total time : 0.619000 s
% 1.18/1.21 % SZS output end Proof
% 1.18/1.21 % Total time : 0.624000 s
%------------------------------------------------------------------------------