TSTP Solution File: LAT329+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : LAT329+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 04:47:12 EDT 2022
% Result : Theorem 0.24s 1.41s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 20
% Syntax : Number of formulae : 104 ( 10 unt; 0 def)
% Number of atoms : 539 ( 3 equ)
% Maximal formula atoms : 31 ( 5 avg)
% Number of connectives : 738 ( 303 ~; 338 |; 56 &)
% ( 4 <=>; 37 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-3 aty)
% Number of variables : 192 ( 1 sgn 88 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(dt_l2_lattices,axiom,
! [X1] :
( l2_lattices(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',dt_l2_lattices) ).
fof(dt_l3_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( l1_lattices(X1)
& l2_lattices(X1) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',dt_l3_lattices) ).
fof(dt_m2_lattice4,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_lattice4(X2,X1)
=> m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',dt_m2_lattice4) ).
fof(dt_k22_filter_2,axiom,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> ( ~ v1_xboole_0(k22_filter_2(X1,X2,X3))
& m2_lattice4(k22_filter_2(X1,X2,X3),X1) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',dt_k22_filter_2) ).
fof(fc1_struct_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fc1_struct_0) ).
fof(dt_m1_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_2(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',dt_m1_filter_2) ).
fof(d1_filter_2,axiom,
! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ( r1_filter_2(X1,X2,X3)
<=> ! [X4] :
( m1_subset_1(X4,X1)
=> ( r2_hidden(X4,X2)
<=> r2_hidden(X4,X3) ) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',d1_filter_2) ).
fof(dt_k2_filter_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> m1_filter_2(k2_filter_2(X1,X2),X1) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',dt_k2_filter_2) ).
fof(t66_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)
=> r1_filter_2(u1_struct_0(X1),k2_filter_2(X1,X2),k22_filter_2(X1,X2,k6_lattices(X1))) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',t66_filter_2) ).
fof(dt_k6_lattices,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l2_lattices(X1) )
=> m1_subset_1(k6_lattices(X1),u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',dt_k6_lattices) ).
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/solver/bin/../tmp/theBenchmark.p',t4_subset) ).
fof(t2_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,X2)
=> ( v1_xboole_0(X2)
| r2_hidden(X1,X2) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',t2_subset) ).
fof(t63_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( r3_lattices(X1,X2,X3)
=> ( r2_hidden(X4,k22_filter_2(X1,X2,X3))
<=> ( r3_lattices(X1,X2,X4)
& r3_lattices(X1,X4,X3) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',t63_filter_2) ).
fof(t1_subset,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> m1_subset_1(X1,X2) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',t1_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/solver/bin/../tmp/theBenchmark.p',t5_subset) ).
fof(redefinition_k2_filter_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> k2_filter_2(X1,X2) = k2_filter_0(X1,X2) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',redefinition_k2_filter_2) ).
fof(t45_lattices,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v14_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> r3_lattices(X1,X2,k6_lattices(X1)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',t45_lattices) ).
fof(t18_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r2_hidden(X2,k2_filter_0(X1,X3))
<=> r3_lattices(X1,X3,X2) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',t18_filter_0) ).
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/solver/bin/../tmp/theBenchmark.p',dt_m1_filter_0) ).
fof(dt_k2_filter_0,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> m1_filter_0(k2_filter_0(X1,X2),X1) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',dt_k2_filter_0) ).
fof(c_0_20,plain,
! [X2] :
( ~ l2_lattices(X2)
| l1_struct_0(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_lattices])]) ).
fof(c_0_21,plain,
! [X2] :
( ( l1_lattices(X2)
| ~ l3_lattices(X2) )
& ( l2_lattices(X2)
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_lattices])])]) ).
fof(c_0_22,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m2_lattice4(X4,X3)
| m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3))) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_m2_lattice4])])])])])]) ).
fof(c_0_23,plain,
! [X4,X5,X6] :
( ( ~ v1_xboole_0(k22_filter_2(X4,X5,X6))
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4)
| ~ m1_subset_1(X5,u1_struct_0(X4))
| ~ m1_subset_1(X6,u1_struct_0(X4)) )
& ( m2_lattice4(k22_filter_2(X4,X5,X6),X4)
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4)
| ~ m1_subset_1(X5,u1_struct_0(X4))
| ~ m1_subset_1(X6,u1_struct_0(X4)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k22_filter_2])])])]) ).
fof(c_0_24,plain,
! [X2] :
( v3_struct_0(X2)
| ~ l1_struct_0(X2)
| ~ v1_xboole_0(u1_struct_0(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fc1_struct_0])])]) ).
cnf(c_0_25,plain,
( l1_struct_0(X1)
| ~ l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_26,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_27,plain,
! [X3,X4] :
( ( ~ v1_xboole_0(X4)
| ~ m1_filter_2(X4,X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) )
& ( m2_lattice4(X4,X3)
| ~ m1_filter_2(X4,X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_m1_filter_2])])])])])])]) ).
fof(c_0_28,plain,
! [X5,X6,X7,X8] :
( ( ~ r2_hidden(X8,X6)
| r2_hidden(X8,X7)
| ~ m1_subset_1(X8,X5)
| ~ r1_filter_2(X5,X6,X7)
| ~ m1_subset_1(X7,k1_zfmisc_1(X5))
| ~ m1_subset_1(X6,k1_zfmisc_1(X5))
| v1_xboole_0(X5) )
& ( ~ r2_hidden(X8,X7)
| r2_hidden(X8,X6)
| ~ m1_subset_1(X8,X5)
| ~ r1_filter_2(X5,X6,X7)
| ~ m1_subset_1(X7,k1_zfmisc_1(X5))
| ~ m1_subset_1(X6,k1_zfmisc_1(X5))
| v1_xboole_0(X5) )
& ( m1_subset_1(esk3_3(X5,X6,X7),X5)
| r1_filter_2(X5,X6,X7)
| ~ m1_subset_1(X7,k1_zfmisc_1(X5))
| ~ m1_subset_1(X6,k1_zfmisc_1(X5))
| v1_xboole_0(X5) )
& ( ~ r2_hidden(esk3_3(X5,X6,X7),X6)
| ~ r2_hidden(esk3_3(X5,X6,X7),X7)
| r1_filter_2(X5,X6,X7)
| ~ m1_subset_1(X7,k1_zfmisc_1(X5))
| ~ m1_subset_1(X6,k1_zfmisc_1(X5))
| v1_xboole_0(X5) )
& ( r2_hidden(esk3_3(X5,X6,X7),X6)
| r2_hidden(esk3_3(X5,X6,X7),X7)
| r1_filter_2(X5,X6,X7)
| ~ m1_subset_1(X7,k1_zfmisc_1(X5))
| ~ m1_subset_1(X6,k1_zfmisc_1(X5))
| v1_xboole_0(X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[d1_filter_2])])])])])])])]) ).
cnf(c_0_29,plain,
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| v3_struct_0(X2)
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_30,plain,
( v3_struct_0(X2)
| m2_lattice4(k22_filter_2(X2,X3,X1),X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_31,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_32,plain,
( l1_struct_0(X1)
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_33,plain,
( v3_struct_0(X1)
| m2_lattice4(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_34,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_subset_1(X4,u1_struct_0(X3))
| m1_filter_2(k2_filter_2(X3,X4),X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k2_filter_2])])]) ).
cnf(c_0_35,plain,
( v1_xboole_0(X1)
| r1_filter_2(X1,X2,X3)
| r2_hidden(esk3_3(X1,X2,X3),X3)
| r2_hidden(esk3_3(X1,X2,X3),X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_36,plain,
( m1_subset_1(k22_filter_2(X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_37,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_38,plain,
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| v3_struct_0(X2)
| ~ m1_filter_2(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(spm,[status(thm)],[c_0_29,c_0_33]) ).
cnf(c_0_39,plain,
( m1_filter_2(k2_filter_2(X1,X2),X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
fof(c_0_40,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)
=> r1_filter_2(u1_struct_0(X1),k2_filter_2(X1,X2),k22_filter_2(X1,X2,k6_lattices(X1))) ) ) ),
inference(assume_negation,[status(cth)],[t66_filter_2]) ).
cnf(c_0_41,plain,
( r2_hidden(esk3_3(u1_struct_0(X1),X2,k22_filter_2(X1,X3,X4)),k22_filter_2(X1,X3,X4))
| r2_hidden(esk3_3(u1_struct_0(X1),X2,k22_filter_2(X1,X3,X4)),X2)
| r1_filter_2(u1_struct_0(X1),X2,k22_filter_2(X1,X3,X4))
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]) ).
cnf(c_0_42,plain,
( m1_subset_1(k2_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
fof(c_0_43,negated_conjecture,
( ~ 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)
& ~ r1_filter_2(u1_struct_0(esk1_0),k2_filter_2(esk1_0,esk2_0),k22_filter_2(esk1_0,esk2_0,k6_lattices(esk1_0))) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_40])])])])])]) ).
cnf(c_0_44,plain,
( r2_hidden(esk3_3(u1_struct_0(X1),k2_filter_2(X1,X2),k22_filter_2(X1,X3,X4)),k22_filter_2(X1,X3,X4))
| r2_hidden(esk3_3(u1_struct_0(X1),k2_filter_2(X1,X2),k22_filter_2(X1,X3,X4)),k2_filter_2(X1,X2))
| r1_filter_2(u1_struct_0(X1),k2_filter_2(X1,X2),k22_filter_2(X1,X3,X4))
| v3_struct_0(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_45,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_46,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_47,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_48,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
fof(c_0_49,plain,
! [X2] :
( v3_struct_0(X2)
| ~ l2_lattices(X2)
| m1_subset_1(k6_lattices(X2),u1_struct_0(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k6_lattices])])]) ).
fof(c_0_50,plain,
! [X4,X5,X6] :
( ~ r2_hidden(X4,X5)
| ~ m1_subset_1(X5,k1_zfmisc_1(X6))
| m1_subset_1(X4,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).
cnf(c_0_51,negated_conjecture,
( r2_hidden(esk3_3(u1_struct_0(esk1_0),k2_filter_2(esk1_0,X1),k22_filter_2(esk1_0,esk2_0,X2)),k22_filter_2(esk1_0,esk2_0,X2))
| r2_hidden(esk3_3(u1_struct_0(esk1_0),k2_filter_2(esk1_0,X1),k22_filter_2(esk1_0,esk2_0,X2)),k2_filter_2(esk1_0,X1))
| r1_filter_2(u1_struct_0(esk1_0),k2_filter_2(esk1_0,X1),k22_filter_2(esk1_0,esk2_0,X2))
| ~ m1_subset_1(X2,u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]),c_0_47])]),c_0_48]) ).
cnf(c_0_52,plain,
( m1_subset_1(k6_lattices(X1),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_53,plain,
( m1_subset_1(X1,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| ~ r2_hidden(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
fof(c_0_54,plain,
! [X3,X4] :
( ~ m1_subset_1(X3,X4)
| v1_xboole_0(X4)
| r2_hidden(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
cnf(c_0_55,negated_conjecture,
( r2_hidden(esk3_3(u1_struct_0(esk1_0),k2_filter_2(esk1_0,X1),k22_filter_2(esk1_0,esk2_0,k6_lattices(esk1_0))),k22_filter_2(esk1_0,esk2_0,k6_lattices(esk1_0)))
| r2_hidden(esk3_3(u1_struct_0(esk1_0),k2_filter_2(esk1_0,X1),k22_filter_2(esk1_0,esk2_0,k6_lattices(esk1_0))),k2_filter_2(esk1_0,X1))
| r1_filter_2(u1_struct_0(esk1_0),k2_filter_2(esk1_0,X1),k22_filter_2(esk1_0,esk2_0,k6_lattices(esk1_0)))
| ~ l2_lattices(esk1_0)
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_48]) ).
fof(c_0_56,plain,
! [X5,X6,X7,X8] :
( ( r3_lattices(X5,X6,X8)
| ~ r2_hidden(X8,k22_filter_2(X5,X6,X7))
| ~ r3_lattices(X5,X6,X7)
| ~ m1_subset_1(X8,u1_struct_0(X5))
| ~ m1_subset_1(X7,u1_struct_0(X5))
| ~ m1_subset_1(X6,u1_struct_0(X5))
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5) )
& ( r3_lattices(X5,X8,X7)
| ~ r2_hidden(X8,k22_filter_2(X5,X6,X7))
| ~ r3_lattices(X5,X6,X7)
| ~ m1_subset_1(X8,u1_struct_0(X5))
| ~ m1_subset_1(X7,u1_struct_0(X5))
| ~ m1_subset_1(X6,u1_struct_0(X5))
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5) )
& ( ~ r3_lattices(X5,X6,X8)
| ~ r3_lattices(X5,X8,X7)
| r2_hidden(X8,k22_filter_2(X5,X6,X7))
| ~ r3_lattices(X5,X6,X7)
| ~ m1_subset_1(X8,u1_struct_0(X5))
| ~ m1_subset_1(X7,u1_struct_0(X5))
| ~ m1_subset_1(X6,u1_struct_0(X5))
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t63_filter_2])])])])])])]) ).
cnf(c_0_57,plain,
( m1_subset_1(X1,u1_struct_0(X2))
| v3_struct_0(X2)
| ~ r2_hidden(X1,k22_filter_2(X2,X3,X4))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(spm,[status(thm)],[c_0_53,c_0_36]) ).
cnf(c_0_58,plain,
( r2_hidden(X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_59,plain,
( v3_struct_0(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ v1_xboole_0(k22_filter_2(X2,X3,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_60,plain,
! [X3,X4] :
( ~ r2_hidden(X3,X4)
| m1_subset_1(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
cnf(c_0_61,negated_conjecture,
( r2_hidden(esk3_3(u1_struct_0(esk1_0),k2_filter_2(esk1_0,X1),k22_filter_2(esk1_0,esk2_0,k6_lattices(esk1_0))),k22_filter_2(esk1_0,esk2_0,k6_lattices(esk1_0)))
| r2_hidden(esk3_3(u1_struct_0(esk1_0),k2_filter_2(esk1_0,X1),k22_filter_2(esk1_0,esk2_0,k6_lattices(esk1_0))),k2_filter_2(esk1_0,X1))
| r1_filter_2(u1_struct_0(esk1_0),k2_filter_2(esk1_0,X1),k22_filter_2(esk1_0,esk2_0,k6_lattices(esk1_0)))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_26]),c_0_46])]) ).
cnf(c_0_62,negated_conjecture,
~ r1_filter_2(u1_struct_0(esk1_0),k2_filter_2(esk1_0,esk2_0),k22_filter_2(esk1_0,esk2_0,k6_lattices(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
fof(c_0_63,plain,
! [X4,X5,X6] :
( ~ r2_hidden(X4,X5)
| ~ m1_subset_1(X5,k1_zfmisc_1(X6))
| ~ v1_xboole_0(X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).
cnf(c_0_64,plain,
( v3_struct_0(X1)
| r3_lattices(X1,X2,X4)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ r2_hidden(X4,k22_filter_2(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_65,plain,
( m1_subset_1(X1,u1_struct_0(X2))
| v3_struct_0(X2)
| ~ m1_subset_1(X1,k22_filter_2(X2,X3,X4))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59]) ).
cnf(c_0_66,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_67,negated_conjecture,
( r2_hidden(esk3_3(u1_struct_0(esk1_0),k2_filter_2(esk1_0,esk2_0),k22_filter_2(esk1_0,esk2_0,k6_lattices(esk1_0))),k22_filter_2(esk1_0,esk2_0,k6_lattices(esk1_0)))
| r2_hidden(esk3_3(u1_struct_0(esk1_0),k2_filter_2(esk1_0,esk2_0),k22_filter_2(esk1_0,esk2_0,k6_lattices(esk1_0))),k2_filter_2(esk1_0,esk2_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_45]),c_0_62]) ).
cnf(c_0_68,plain,
( v1_xboole_0(X1)
| r1_filter_2(X1,X2,X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ r2_hidden(esk3_3(X1,X2,X3),X3)
| ~ r2_hidden(esk3_3(X1,X2,X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_69,plain,
( ~ v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ r2_hidden(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_70,plain,
( r3_lattices(X1,X2,X3)
| v3_struct_0(X1)
| ~ r3_lattices(X1,X2,X4)
| ~ m1_subset_1(X3,k22_filter_2(X1,X2,X4))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_58]),c_0_65]),c_0_59]) ).
cnf(c_0_71,negated_conjecture,
( r2_hidden(esk3_3(u1_struct_0(esk1_0),k2_filter_2(esk1_0,esk2_0),k22_filter_2(esk1_0,esk2_0,k6_lattices(esk1_0))),k2_filter_2(esk1_0,esk2_0))
| m1_subset_1(esk3_3(u1_struct_0(esk1_0),k2_filter_2(esk1_0,esk2_0),k22_filter_2(esk1_0,esk2_0,k6_lattices(esk1_0))),k22_filter_2(esk1_0,esk2_0,k6_lattices(esk1_0))) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
fof(c_0_72,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_subset_1(X4,u1_struct_0(X3))
| k2_filter_2(X3,X4) = k2_filter_0(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[redefinition_k2_filter_2])])]) ).
cnf(c_0_73,plain,
( m1_subset_1(X1,u1_struct_0(X2))
| v3_struct_0(X2)
| ~ r2_hidden(X1,k2_filter_2(X2,X3))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(spm,[status(thm)],[c_0_53,c_0_42]) ).
cnf(c_0_74,negated_conjecture,
( r2_hidden(esk3_3(u1_struct_0(esk1_0),k2_filter_2(esk1_0,esk2_0),k22_filter_2(esk1_0,esk2_0,k6_lattices(esk1_0))),k2_filter_2(esk1_0,esk2_0))
| m1_subset_1(esk3_3(u1_struct_0(esk1_0),k2_filter_2(esk1_0,esk2_0),k22_filter_2(esk1_0,esk2_0,k6_lattices(esk1_0))),u1_struct_0(esk1_0))
| ~ m1_subset_1(k6_lattices(esk1_0),u1_struct_0(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_57,c_0_67]),c_0_45]),c_0_46]),c_0_47])]),c_0_48]) ).
cnf(c_0_75,plain,
( r1_filter_2(X1,X2,X3)
| ~ r2_hidden(esk3_3(X1,X2,X3),X3)
| ~ r2_hidden(esk3_3(X1,X2,X3),X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(csr,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_76,plain,
( v3_struct_0(X1)
| r2_hidden(X4,k22_filter_2(X1,X2,X3))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ r3_lattices(X1,X4,X3)
| ~ r3_lattices(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
fof(c_0_77,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ v14_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_subset_1(X4,u1_struct_0(X3))
| r3_lattices(X3,X4,k6_lattices(X3)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t45_lattices])])])])])]) ).
fof(c_0_78,plain,
! [X4,X5,X6] :
( ( ~ r2_hidden(X5,k2_filter_0(X4,X6))
| r3_lattices(X4,X6,X5)
| ~ m1_subset_1(X6,u1_struct_0(X4))
| ~ m1_subset_1(X5,u1_struct_0(X4))
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4) )
& ( ~ r3_lattices(X4,X6,X5)
| r2_hidden(X5,k2_filter_0(X4,X6))
| ~ m1_subset_1(X6,u1_struct_0(X4))
| ~ m1_subset_1(X5,u1_struct_0(X4))
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t18_filter_0])])])])])])]) ).
cnf(c_0_79,negated_conjecture,
( r3_lattices(esk1_0,esk2_0,esk3_3(u1_struct_0(esk1_0),k2_filter_2(esk1_0,esk2_0),k22_filter_2(esk1_0,esk2_0,k6_lattices(esk1_0))))
| r2_hidden(esk3_3(u1_struct_0(esk1_0),k2_filter_2(esk1_0,esk2_0),k22_filter_2(esk1_0,esk2_0,k6_lattices(esk1_0))),k2_filter_2(esk1_0,esk2_0))
| ~ r3_lattices(esk1_0,esk2_0,k6_lattices(esk1_0))
| ~ m1_subset_1(k6_lattices(esk1_0),u1_struct_0(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_70,c_0_71]),c_0_45]),c_0_46]),c_0_47])]),c_0_48]) ).
cnf(c_0_80,plain,
( k2_filter_2(X1,X2) = k2_filter_0(X1,X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_81,negated_conjecture,
( m1_subset_1(esk3_3(u1_struct_0(esk1_0),k2_filter_2(esk1_0,esk2_0),k22_filter_2(esk1_0,esk2_0,k6_lattices(esk1_0))),u1_struct_0(esk1_0))
| ~ m1_subset_1(k6_lattices(esk1_0),u1_struct_0(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_73,c_0_74]),c_0_45]),c_0_46]),c_0_47])]),c_0_48]) ).
cnf(c_0_82,plain,
( r1_filter_2(X1,X2,k22_filter_2(X3,X4,X5))
| v3_struct_0(X3)
| ~ r3_lattices(X3,esk3_3(X1,X2,k22_filter_2(X3,X4,X5)),X5)
| ~ r3_lattices(X3,X4,esk3_3(X1,X2,k22_filter_2(X3,X4,X5)))
| ~ r3_lattices(X3,X4,X5)
| ~ r2_hidden(esk3_3(X1,X2,k22_filter_2(X3,X4,X5)),X2)
| ~ m1_subset_1(esk3_3(X1,X2,k22_filter_2(X3,X4,X5)),u1_struct_0(X3))
| ~ m1_subset_1(k22_filter_2(X3,X4,X5),k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X5,u1_struct_0(X3))
| ~ m1_subset_1(X4,u1_struct_0(X3))
| ~ l3_lattices(X3)
| ~ v10_lattices(X3) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_83,plain,
( r3_lattices(X1,X2,k6_lattices(X1))
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v14_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_84,plain,
( v3_struct_0(X1)
| r3_lattices(X1,X3,X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r2_hidden(X2,k2_filter_0(X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_85,negated_conjecture,
( r3_lattices(esk1_0,esk2_0,esk3_3(u1_struct_0(esk1_0),k2_filter_0(esk1_0,esk2_0),k22_filter_2(esk1_0,esk2_0,k6_lattices(esk1_0))))
| r2_hidden(esk3_3(u1_struct_0(esk1_0),k2_filter_0(esk1_0,esk2_0),k22_filter_2(esk1_0,esk2_0,k6_lattices(esk1_0))),k2_filter_0(esk1_0,esk2_0))
| ~ r3_lattices(esk1_0,esk2_0,k6_lattices(esk1_0))
| ~ m1_subset_1(k6_lattices(esk1_0),u1_struct_0(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_79,c_0_80]),c_0_45]),c_0_46]),c_0_47])]),c_0_48]) ).
cnf(c_0_86,negated_conjecture,
( m1_subset_1(esk3_3(u1_struct_0(esk1_0),k2_filter_0(esk1_0,esk2_0),k22_filter_2(esk1_0,esk2_0,k6_lattices(esk1_0))),u1_struct_0(esk1_0))
| ~ m1_subset_1(k6_lattices(esk1_0),u1_struct_0(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_81,c_0_80]),c_0_45]),c_0_46]),c_0_47])]),c_0_48]) ).
cnf(c_0_87,plain,
( r1_filter_2(X1,X2,k22_filter_2(X3,X4,k6_lattices(X3)))
| v3_struct_0(X3)
| ~ r3_lattices(X3,X4,esk3_3(X1,X2,k22_filter_2(X3,X4,k6_lattices(X3))))
| ~ r2_hidden(esk3_3(X1,X2,k22_filter_2(X3,X4,k6_lattices(X3))),X2)
| ~ v14_lattices(X3)
| ~ m1_subset_1(esk3_3(X1,X2,k22_filter_2(X3,X4,k6_lattices(X3))),u1_struct_0(X3))
| ~ m1_subset_1(k22_filter_2(X3,X4,k6_lattices(X3)),k1_zfmisc_1(X1))
| ~ m1_subset_1(k6_lattices(X3),u1_struct_0(X3))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X4,u1_struct_0(X3))
| ~ l3_lattices(X3)
| ~ v10_lattices(X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_83]) ).
cnf(c_0_88,negated_conjecture,
( r3_lattices(esk1_0,esk2_0,esk3_3(u1_struct_0(esk1_0),k2_filter_0(esk1_0,esk2_0),k22_filter_2(esk1_0,esk2_0,k6_lattices(esk1_0))))
| ~ r3_lattices(esk1_0,esk2_0,k6_lattices(esk1_0))
| ~ m1_subset_1(k6_lattices(esk1_0),u1_struct_0(esk1_0)) ),
inference(csr,[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_84,c_0_85]),c_0_45]),c_0_46]),c_0_47])]),c_0_48]),c_0_86]) ).
cnf(c_0_89,negated_conjecture,
v14_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_90,negated_conjecture,
~ r1_filter_2(u1_struct_0(esk1_0),k2_filter_0(esk1_0,esk2_0),k22_filter_2(esk1_0,esk2_0,k6_lattices(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_62,c_0_80]),c_0_45]),c_0_46]),c_0_47])]),c_0_48]) ).
cnf(c_0_91,negated_conjecture,
( ~ r3_lattices(esk1_0,esk2_0,k6_lattices(esk1_0))
| ~ r2_hidden(esk3_3(u1_struct_0(esk1_0),k2_filter_0(esk1_0,esk2_0),k22_filter_2(esk1_0,esk2_0,k6_lattices(esk1_0))),k2_filter_0(esk1_0,esk2_0))
| ~ m1_subset_1(k22_filter_2(esk1_0,esk2_0,k6_lattices(esk1_0)),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ m1_subset_1(k2_filter_0(esk1_0,esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ m1_subset_1(k6_lattices(esk1_0),u1_struct_0(esk1_0)) ),
inference(csr,[status(thm)],[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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_89]),c_0_45]),c_0_46]),c_0_47])]),c_0_90]),c_0_48]),c_0_86]) ).
cnf(c_0_92,plain,
( v3_struct_0(X1)
| r2_hidden(X2,k2_filter_0(X1,X3))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r3_lattices(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
fof(c_0_93,plain,
! [X3,X4] :
( ( ~ v1_xboole_0(X4)
| ~ m1_filter_0(X4,X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) )
& ( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| ~ m1_filter_0(X4,X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_m1_filter_0])])])])])])]) ).
fof(c_0_94,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_subset_1(X4,u1_struct_0(X3))
| m1_filter_0(k2_filter_0(X3,X4),X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k2_filter_0])])]) ).
cnf(c_0_95,negated_conjecture,
( ~ r3_lattices(esk1_0,esk2_0,k6_lattices(esk1_0))
| ~ m1_subset_1(k22_filter_2(esk1_0,esk2_0,k6_lattices(esk1_0)),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ m1_subset_1(k2_filter_0(esk1_0,esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ m1_subset_1(k6_lattices(esk1_0),u1_struct_0(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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_45]),c_0_46]),c_0_47])]),c_0_48]),c_0_86]),c_0_88]) ).
cnf(c_0_96,plain,
( v3_struct_0(X1)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_97,plain,
( m1_filter_0(k2_filter_0(X1,X2),X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_98,negated_conjecture,
( ~ r3_lattices(esk1_0,esk2_0,k6_lattices(esk1_0))
| ~ m1_subset_1(k2_filter_0(esk1_0,esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ m1_subset_1(k6_lattices(esk1_0),u1_struct_0(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_95,c_0_36]),c_0_45]),c_0_46]),c_0_47])]),c_0_48]) ).
cnf(c_0_99,plain,
( m1_subset_1(k2_filter_0(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_100,negated_conjecture,
( ~ r3_lattices(esk1_0,esk2_0,k6_lattices(esk1_0))
| ~ m1_subset_1(k6_lattices(esk1_0),u1_struct_0(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_98,c_0_99]),c_0_45]),c_0_46]),c_0_47])]),c_0_48]) ).
cnf(c_0_101,negated_conjecture,
~ m1_subset_1(k6_lattices(esk1_0),u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_83]),c_0_89]),c_0_45]),c_0_46]),c_0_47])]),c_0_48]) ).
cnf(c_0_102,negated_conjecture,
~ l2_lattices(esk1_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_52]),c_0_48]) ).
cnf(c_0_103,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_26]),c_0_46])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT329+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 29 18:42:31 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.24/1.41 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.24/1.41 # Preprocessing time : 0.023 s
% 0.24/1.41
% 0.24/1.41 # Proof found!
% 0.24/1.41 # SZS status Theorem
% 0.24/1.41 # SZS output start CNFRefutation
% See solution above
% 0.24/1.42 # Proof object total steps : 104
% 0.24/1.42 # Proof object clause steps : 63
% 0.24/1.42 # Proof object formula steps : 41
% 0.24/1.42 # Proof object conjectures : 28
% 0.24/1.42 # Proof object clause conjectures : 25
% 0.24/1.42 # Proof object formula conjectures : 3
% 0.24/1.42 # Proof object initial clauses used : 29
% 0.24/1.42 # Proof object initial formulas used : 20
% 0.24/1.42 # Proof object generating inferences : 33
% 0.24/1.42 # Proof object simplifying inferences : 84
% 0.24/1.42 # Training examples: 0 positive, 0 negative
% 0.24/1.42 # Parsed axioms : 61
% 0.24/1.42 # Removed by relevancy pruning/SinE : 0
% 0.24/1.42 # Initial clauses : 97
% 0.24/1.42 # Removed in clause preprocessing : 7
% 0.24/1.42 # Initial clauses in saturation : 90
% 0.24/1.42 # Processed clauses : 2772
% 0.24/1.42 # ...of these trivial : 0
% 0.24/1.42 # ...subsumed : 1688
% 0.24/1.42 # ...remaining for further processing : 1084
% 0.24/1.42 # Other redundant clauses eliminated : 2
% 0.24/1.42 # Clauses deleted for lack of memory : 0
% 0.24/1.42 # Backward-subsumed : 113
% 0.24/1.42 # Backward-rewritten : 4
% 0.24/1.42 # Generated clauses : 19846
% 0.24/1.42 # ...of the previous two non-trivial : 18829
% 0.24/1.42 # Contextual simplify-reflections : 2756
% 0.24/1.42 # Paramodulations : 19830
% 0.24/1.42 # Factorizations : 14
% 0.24/1.42 # Equation resolutions : 2
% 0.24/1.42 # Current number of processed clauses : 965
% 0.24/1.42 # Positive orientable unit clauses : 19
% 0.24/1.42 # Positive unorientable unit clauses: 0
% 0.24/1.42 # Negative unit clauses : 11
% 0.24/1.42 # Non-unit-clauses : 935
% 0.24/1.42 # Current number of unprocessed clauses: 15025
% 0.24/1.42 # ...number of literals in the above : 116699
% 0.24/1.42 # Current number of archived formulas : 0
% 0.24/1.42 # Current number of archived clauses : 117
% 0.24/1.42 # Clause-clause subsumption calls (NU) : 284476
% 0.24/1.42 # Rec. Clause-clause subsumption calls : 50739
% 0.24/1.42 # Non-unit clause-clause subsumptions : 4483
% 0.24/1.42 # Unit Clause-clause subsumption calls : 542
% 0.24/1.42 # Rewrite failures with RHS unbound : 0
% 0.24/1.42 # BW rewrite match attempts : 15
% 0.24/1.42 # BW rewrite match successes : 3
% 0.24/1.42 # Condensation attempts : 0
% 0.24/1.42 # Condensation successes : 0
% 0.24/1.42 # Termbank termtop insertions : 796873
% 0.24/1.42
% 0.24/1.42 # -------------------------------------------------
% 0.24/1.42 # User time : 0.564 s
% 0.24/1.42 # System time : 0.012 s
% 0.24/1.42 # Total time : 0.576 s
% 0.24/1.42 # Maximum resident set size: 24512 pages
% 0.24/23.41 eprover: CPU time limit exceeded, terminating
% 0.24/23.41 eprover: CPU time limit exceeded, terminating
% 0.24/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.42 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.44 eprover: CPU time limit exceeded, terminating
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.49 eprover: No such file or directory
% 0.24/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.49 eprover: No such file or directory
% 0.24/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.49 eprover: No such file or directory
%------------------------------------------------------------------------------