%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : LAT328+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% 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 : 600s
% DateTime : Sun Jul 17 04:47:11 EDT 2022
% Result : Theorem 0.24s 2.42s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 21
% Syntax : Number of formulae : 132 ( 19 unt; 0 def)
% Number of atoms : 663 ( 36 equ)
% Maximal formula atoms : 31 ( 5 avg)
% Number of connectives : 904 ( 373 ~; 428 |; 65 &)
% ( 6 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 2 con; 0-3 aty)
% Number of variables : 242 ( 6 sgn 97 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(dt_l1_lattices,axiom,
! [X1] :
( l1_lattices(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',dt_l1_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(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_k6_domain_1,axiom,
! [X1,X2] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X2,X1) )
=> m1_subset_1(k6_domain_1(X1,X2),k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',dt_k6_domain_1) ).
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(t65_filter_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> r1_filter_2(u1_struct_0(X1),k22_filter_2(X1,X2,X2),k6_domain_1(u1_struct_0(X1),X2)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',t65_filter_2) ).
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(d1_tarski,axiom,
! [X1,X2] :
( X2 = k1_tarski(X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> X3 = X1 ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',d1_tarski) ).
fof(existence_m1_subset_1,axiom,
! [X1] :
? [X2] : m1_subset_1(X2,X1),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',existence_m1_subset_1) ).
fof(redefinition_k6_domain_1,axiom,
! [X1,X2] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X2,X1) )
=> k6_domain_1(X1,X2) = k1_tarski(X2) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',redefinition_k6_domain_1) ).
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(fc2_subset_1,axiom,
! [X1] : ~ v1_xboole_0(k1_tarski(X1)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fc2_subset_1) ).
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(t26_lattices,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v4_lattices(X1)
& l2_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( ( r1_lattices(X1,X2,X3)
& r1_lattices(X1,X3,X2) )
=> X2 = X3 ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',t26_lattices) ).
fof(redefinition_r3_lattices,axiom,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& v6_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> ( r3_lattices(X1,X2,X3)
<=> r1_lattices(X1,X2,X3) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',redefinition_r3_lattices) ).
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(cc1_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v4_lattices(X1)
& v5_lattices(X1)
& v6_lattices(X1)
& v7_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',cc1_lattices) ).
fof(reflexivity_r3_lattices,axiom,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& v6_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> r3_lattices(X1,X2,X2) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',reflexivity_r3_lattices) ).
fof(c_0_21,plain,
! [X2] :
( ~ l1_lattices(X2)
| l1_struct_0(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_lattices])]) ).
fof(c_0_22,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_23,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])])])])])])])]) ).
fof(c_0_24,plain,
! [X3,X4] :
( v1_xboole_0(X3)
| ~ m1_subset_1(X4,X3)
| m1_subset_1(k6_domain_1(X3,X4),k1_zfmisc_1(X3)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k6_domain_1])])]) ).
fof(c_0_25,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_26,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_27,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_28,plain,
( l1_struct_0(X1)
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_29,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_30,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_23]) ).
cnf(c_0_31,plain,
( m1_subset_1(k6_domain_1(X1,X2),k1_zfmisc_1(X1))
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_32,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_25]) ).
cnf(c_0_33,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_26]) ).
cnf(c_0_34,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_35,plain,
( l1_struct_0(X1)
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
fof(c_0_36,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> r1_filter_2(u1_struct_0(X1),k22_filter_2(X1,X2,X2),k6_domain_1(u1_struct_0(X1),X2)) ) ),
inference(assume_negation,[status(cth)],[t65_filter_2]) ).
cnf(c_0_37,plain,
( v1_xboole_0(X1)
| r2_hidden(esk3_3(X1,X2,k6_domain_1(X1,X3)),k6_domain_1(X1,X3))
| r2_hidden(esk3_3(X1,X2,k6_domain_1(X1,X3)),X2)
| r1_filter_2(X1,X2,k6_domain_1(X1,X3))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_38,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_32,c_0_33]) ).
cnf(c_0_39,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
fof(c_0_40,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))
& ~ r1_filter_2(u1_struct_0(esk1_0),k22_filter_2(esk1_0,esk2_0,esk2_0),k6_domain_1(u1_struct_0(esk1_0),esk2_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_36])])])])])]) ).
fof(c_0_41,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_42,plain,
( r2_hidden(esk3_3(u1_struct_0(X1),k22_filter_2(X1,X2,X3),k6_domain_1(u1_struct_0(X1),X4)),k6_domain_1(u1_struct_0(X1),X4))
| r2_hidden(esk3_3(u1_struct_0(X1),k22_filter_2(X1,X2,X3),k6_domain_1(u1_struct_0(X1),X4)),k22_filter_2(X1,X2,X3))
| r1_filter_2(u1_struct_0(X1),k22_filter_2(X1,X2,X3),k6_domain_1(u1_struct_0(X1),X4))
| v3_struct_0(X1)
| ~ m1_subset_1(X4,u1_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(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]) ).
cnf(c_0_43,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_44,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_45,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_46,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_47,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_41]) ).
fof(c_0_48,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_49,negated_conjecture,
( r2_hidden(esk3_3(u1_struct_0(esk1_0),k22_filter_2(esk1_0,X1,X2),k6_domain_1(u1_struct_0(esk1_0),esk2_0)),k6_domain_1(u1_struct_0(esk1_0),esk2_0))
| r2_hidden(esk3_3(u1_struct_0(esk1_0),k22_filter_2(esk1_0,X1,X2),k6_domain_1(u1_struct_0(esk1_0),esk2_0)),k22_filter_2(esk1_0,X1,X2))
| r1_filter_2(u1_struct_0(esk1_0),k22_filter_2(esk1_0,X1,X2),k6_domain_1(u1_struct_0(esk1_0),esk2_0))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ m1_subset_1(X2,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_42,c_0_43]),c_0_44]),c_0_45])]),c_0_46]) ).
fof(c_0_50,plain,
! [X4,X5,X6,X6,X4,X5] :
( ( ~ r2_hidden(X6,X5)
| X6 = X4
| X5 != k1_tarski(X4) )
& ( X6 != X4
| r2_hidden(X6,X5)
| X5 != k1_tarski(X4) )
& ( ~ r2_hidden(esk4_2(X4,X5),X5)
| esk4_2(X4,X5) != X4
| X5 = k1_tarski(X4) )
& ( r2_hidden(esk4_2(X4,X5),X5)
| esk4_2(X4,X5) = X4
| X5 = k1_tarski(X4) ) ),
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)],[d1_tarski])])])])])])]) ).
cnf(c_0_51,plain,
( v1_xboole_0(X1)
| m1_subset_1(X2,X1)
| ~ r2_hidden(X2,k6_domain_1(X1,X3))
| ~ m1_subset_1(X3,X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_31]) ).
cnf(c_0_52,plain,
( r2_hidden(X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
fof(c_0_53,plain,
! [X3] : m1_subset_1(esk9_1(X3),X3),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).
cnf(c_0_54,negated_conjecture,
( r2_hidden(esk3_3(u1_struct_0(esk1_0),k22_filter_2(esk1_0,esk2_0,X1),k6_domain_1(u1_struct_0(esk1_0),esk2_0)),k6_domain_1(u1_struct_0(esk1_0),esk2_0))
| r2_hidden(esk3_3(u1_struct_0(esk1_0),k22_filter_2(esk1_0,esk2_0,X1),k6_domain_1(u1_struct_0(esk1_0),esk2_0)),k22_filter_2(esk1_0,esk2_0,X1))
| r1_filter_2(u1_struct_0(esk1_0),k22_filter_2(esk1_0,esk2_0,X1),k6_domain_1(u1_struct_0(esk1_0),esk2_0))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_49,c_0_43]) ).
cnf(c_0_55,negated_conjecture,
~ r1_filter_2(u1_struct_0(esk1_0),k22_filter_2(esk1_0,esk2_0,esk2_0),k6_domain_1(u1_struct_0(esk1_0),esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
fof(c_0_56,plain,
! [X3,X4] :
( v1_xboole_0(X3)
| ~ m1_subset_1(X4,X3)
| k6_domain_1(X3,X4) = k1_tarski(X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[redefinition_k6_domain_1])])]) ).
cnf(c_0_57,plain,
( X3 = X2
| X1 != k1_tarski(X2)
| ~ r2_hidden(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_58,plain,
( v1_xboole_0(k6_domain_1(X1,X2))
| v1_xboole_0(X1)
| m1_subset_1(X3,X1)
| ~ m1_subset_1(X3,k6_domain_1(X1,X2))
| ~ m1_subset_1(X2,X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_59,plain,
m1_subset_1(esk9_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
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),k22_filter_2(esk1_0,esk2_0,esk2_0),k6_domain_1(u1_struct_0(esk1_0),esk2_0)),k22_filter_2(esk1_0,esk2_0,esk2_0))
| r2_hidden(esk3_3(u1_struct_0(esk1_0),k22_filter_2(esk1_0,esk2_0,esk2_0),k6_domain_1(u1_struct_0(esk1_0),esk2_0)),k6_domain_1(u1_struct_0(esk1_0),esk2_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_43]),c_0_55]) ).
cnf(c_0_62,plain,
( k6_domain_1(X1,X2) = k1_tarski(X2)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_63,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_44]),c_0_46]) ).
cnf(c_0_64,plain,
( X1 = X2
| v1_xboole_0(X3)
| X3 != k1_tarski(X1)
| ~ m1_subset_1(X2,X3) ),
inference(spm,[status(thm)],[c_0_57,c_0_52]) ).
cnf(c_0_65,plain,
( v1_xboole_0(k6_domain_1(X1,X2))
| v1_xboole_0(X1)
| m1_subset_1(esk9_1(k6_domain_1(X1,X2)),X1)
| ~ m1_subset_1(X2,X1) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
fof(c_0_66,plain,
! [X2] : ~ v1_xboole_0(k1_tarski(X2)),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[fc2_subset_1])]) ).
fof(c_0_67,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_68,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_47,c_0_38]) ).
cnf(c_0_69,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_26]) ).
cnf(c_0_70,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_71,negated_conjecture,
( r2_hidden(esk3_3(u1_struct_0(esk1_0),k22_filter_2(esk1_0,esk2_0,esk2_0),k1_tarski(esk2_0)),k22_filter_2(esk1_0,esk2_0,esk2_0))
| r2_hidden(esk3_3(u1_struct_0(esk1_0),k22_filter_2(esk1_0,esk2_0,esk2_0),k1_tarski(esk2_0)),k1_tarski(esk2_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_43])]),c_0_63]) ).
fof(c_0_72,plain,
! [X4,X5,X6] :
( v3_struct_0(X4)
| ~ v4_lattices(X4)
| ~ l2_lattices(X4)
| ~ m1_subset_1(X5,u1_struct_0(X4))
| ~ m1_subset_1(X6,u1_struct_0(X4))
| ~ r1_lattices(X4,X5,X6)
| ~ r1_lattices(X4,X6,X5)
| X5 = X6 ),
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)],[t26_lattices])])])])])]) ).
fof(c_0_73,plain,
! [X4,X5,X6] :
( ( ~ r3_lattices(X4,X5,X6)
| r1_lattices(X4,X5,X6)
| v3_struct_0(X4)
| ~ v6_lattices(X4)
| ~ v8_lattices(X4)
| ~ v9_lattices(X4)
| ~ l3_lattices(X4)
| ~ m1_subset_1(X5,u1_struct_0(X4))
| ~ m1_subset_1(X6,u1_struct_0(X4)) )
& ( ~ r1_lattices(X4,X5,X6)
| r3_lattices(X4,X5,X6)
| v3_struct_0(X4)
| ~ v6_lattices(X4)
| ~ v8_lattices(X4)
| ~ v9_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)],[redefinition_r3_lattices])])])]) ).
cnf(c_0_74,plain,
( X1 = esk9_1(k6_domain_1(X2,X3))
| v1_xboole_0(k6_domain_1(X2,X3))
| v1_xboole_0(X2)
| X2 != k1_tarski(X1)
| ~ m1_subset_1(X3,X2) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_75,plain,
~ v1_xboole_0(k1_tarski(X1)),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_76,plain,
( X1 = esk9_1(X2)
| v1_xboole_0(X2)
| X2 != k1_tarski(X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_59]) ).
cnf(c_0_77,plain,
( v3_struct_0(X1)
| r3_lattices(X1,X4,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)
| ~ r2_hidden(X4,k22_filter_2(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_78,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_68,c_0_52]),c_0_69]) ).
cnf(c_0_79,negated_conjecture,
( r2_hidden(esk3_3(u1_struct_0(esk1_0),k22_filter_2(esk1_0,esk2_0,esk2_0),k1_tarski(esk2_0)),k1_tarski(esk2_0))
| m1_subset_1(esk3_3(u1_struct_0(esk1_0),k22_filter_2(esk1_0,esk2_0,esk2_0),k1_tarski(esk2_0)),k22_filter_2(esk1_0,esk2_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
fof(c_0_80,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_81,plain,
( X1 = X2
| v3_struct_0(X3)
| ~ r1_lattices(X3,X2,X1)
| ~ r1_lattices(X3,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X3))
| ~ m1_subset_1(X1,u1_struct_0(X3))
| ~ l2_lattices(X3)
| ~ v4_lattices(X3) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_82,plain,
( v3_struct_0(X2)
| r1_lattices(X2,X3,X1)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v9_lattices(X2)
| ~ v8_lattices(X2)
| ~ v6_lattices(X2)
| ~ r3_lattices(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_83,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_84,plain,
( esk9_1(k6_domain_1(k1_tarski(X1),X2)) = X1
| v1_xboole_0(k6_domain_1(k1_tarski(X1),X2))
| ~ m1_subset_1(X2,k1_tarski(X1)) ),
inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_74]),c_0_75]) ).
cnf(c_0_85,plain,
esk9_1(k1_tarski(X1)) = X1,
inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_76]),c_0_75]) ).
cnf(c_0_86,plain,
( r3_lattices(X1,X2,X3)
| v3_struct_0(X1)
| ~ r3_lattices(X1,X4,X3)
| ~ m1_subset_1(X2,k22_filter_2(X1,X4,X3))
| ~ 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(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_52]),c_0_78]),c_0_69]) ).
cnf(c_0_87,negated_conjecture,
( m1_subset_1(esk3_3(u1_struct_0(esk1_0),k22_filter_2(esk1_0,esk2_0,esk2_0),k1_tarski(esk2_0)),k22_filter_2(esk1_0,esk2_0,esk2_0))
| m1_subset_1(esk3_3(u1_struct_0(esk1_0),k22_filter_2(esk1_0,esk2_0,esk2_0),k1_tarski(esk2_0)),k1_tarski(esk2_0)) ),
inference(spm,[status(thm)],[c_0_70,c_0_79]) ).
cnf(c_0_88,negated_conjecture,
( r2_hidden(esk3_3(u1_struct_0(esk1_0),k22_filter_2(esk1_0,esk2_0,esk2_0),k6_domain_1(u1_struct_0(esk1_0),esk2_0)),k22_filter_2(esk1_0,esk2_0,esk2_0))
| m1_subset_1(esk3_3(u1_struct_0(esk1_0),k22_filter_2(esk1_0,esk2_0,esk2_0),k6_domain_1(u1_struct_0(esk1_0),esk2_0)),u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_61]),c_0_43])]),c_0_63]) ).
cnf(c_0_89,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_67]) ).
cnf(c_0_90,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_23]) ).
cnf(c_0_91,plain,
( ~ v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ r2_hidden(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_92,plain,
( X1 = X2
| v3_struct_0(X3)
| ~ r1_lattices(X3,X1,X2)
| ~ r3_lattices(X3,X2,X1)
| ~ v9_lattices(X3)
| ~ v8_lattices(X3)
| ~ v6_lattices(X3)
| ~ v4_lattices(X3)
| ~ m1_subset_1(X2,u1_struct_0(X3))
| ~ m1_subset_1(X1,u1_struct_0(X3))
| ~ l3_lattices(X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_83]) ).
cnf(c_0_93,plain,
( X1 = X2
| ~ m1_subset_1(X1,k1_tarski(X2)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_62]),c_0_85]),c_0_75]),c_0_75]) ).
cnf(c_0_94,negated_conjecture,
( r3_lattices(esk1_0,esk3_3(u1_struct_0(esk1_0),k22_filter_2(esk1_0,esk2_0,esk2_0),k1_tarski(esk2_0)),esk2_0)
| m1_subset_1(esk3_3(u1_struct_0(esk1_0),k22_filter_2(esk1_0,esk2_0,esk2_0),k1_tarski(esk2_0)),k1_tarski(esk2_0))
| ~ r3_lattices(esk1_0,esk2_0,esk2_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_87]),c_0_43]),c_0_44]),c_0_45])]),c_0_46]) ).
cnf(c_0_95,negated_conjecture,
m1_subset_1(esk3_3(u1_struct_0(esk1_0),k22_filter_2(esk1_0,esk2_0,esk2_0),k6_domain_1(u1_struct_0(esk1_0),esk2_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_68,c_0_88]),c_0_43]),c_0_44]),c_0_45])]),c_0_46]) ).
cnf(c_0_96,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_89,c_0_52]),c_0_78]),c_0_69]) ).
cnf(c_0_97,plain,
( r2_hidden(X3,X1)
| X1 != k1_tarski(X2)
| X3 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_98,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_90,c_0_91]) ).
cnf(c_0_99,plain,
( X1 = X2
| v3_struct_0(X3)
| ~ r3_lattices(X3,X2,X1)
| ~ r3_lattices(X3,X1,X2)
| ~ v9_lattices(X3)
| ~ v8_lattices(X3)
| ~ v6_lattices(X3)
| ~ v4_lattices(X3)
| ~ m1_subset_1(X2,u1_struct_0(X3))
| ~ m1_subset_1(X1,u1_struct_0(X3))
| ~ l3_lattices(X3) ),
inference(spm,[status(thm)],[c_0_92,c_0_82]) ).
cnf(c_0_100,negated_conjecture,
( esk3_3(u1_struct_0(esk1_0),k22_filter_2(esk1_0,esk2_0,esk2_0),k1_tarski(esk2_0)) = esk2_0
| r3_lattices(esk1_0,esk3_3(u1_struct_0(esk1_0),k22_filter_2(esk1_0,esk2_0,esk2_0),k1_tarski(esk2_0)),esk2_0)
| ~ r3_lattices(esk1_0,esk2_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_101,negated_conjecture,
m1_subset_1(esk3_3(u1_struct_0(esk1_0),k22_filter_2(esk1_0,esk2_0,esk2_0),k1_tarski(esk2_0)),u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_62]),c_0_43])]),c_0_63]) ).
cnf(c_0_102,negated_conjecture,
( r3_lattices(esk1_0,esk2_0,esk3_3(u1_struct_0(esk1_0),k22_filter_2(esk1_0,esk2_0,esk2_0),k1_tarski(esk2_0)))
| m1_subset_1(esk3_3(u1_struct_0(esk1_0),k22_filter_2(esk1_0,esk2_0,esk2_0),k1_tarski(esk2_0)),k1_tarski(esk2_0))
| ~ r3_lattices(esk1_0,esk2_0,esk2_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_96,c_0_87]),c_0_43]),c_0_44]),c_0_45])]),c_0_46]) ).
cnf(c_0_103,plain,
( r2_hidden(X1,X2)
| X2 != k1_tarski(X1) ),
inference(er,[status(thm)],[c_0_97]) ).
cnf(c_0_104,plain,
( v1_xboole_0(X1)
| r1_filter_2(X2,X3,X1)
| ~ r2_hidden(esk3_3(X2,X3,X1),X3)
| ~ m1_subset_1(esk3_3(X2,X3,X1),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
inference(spm,[status(thm)],[c_0_98,c_0_52]) ).
cnf(c_0_105,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_67]) ).
cnf(c_0_106,negated_conjecture,
( esk3_3(u1_struct_0(esk1_0),k22_filter_2(esk1_0,esk2_0,esk2_0),k1_tarski(esk2_0)) = esk2_0
| ~ r3_lattices(esk1_0,esk2_0,esk3_3(u1_struct_0(esk1_0),k22_filter_2(esk1_0,esk2_0,esk2_0),k1_tarski(esk2_0)))
| ~ r3_lattices(esk1_0,esk2_0,esk2_0)
| ~ v9_lattices(esk1_0)
| ~ v8_lattices(esk1_0)
| ~ v6_lattices(esk1_0)
| ~ v4_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_99,c_0_100]),c_0_101]),c_0_43]),c_0_44])]),c_0_46]) ).
cnf(c_0_107,negated_conjecture,
( esk3_3(u1_struct_0(esk1_0),k22_filter_2(esk1_0,esk2_0,esk2_0),k1_tarski(esk2_0)) = esk2_0
| r3_lattices(esk1_0,esk2_0,esk3_3(u1_struct_0(esk1_0),k22_filter_2(esk1_0,esk2_0,esk2_0),k1_tarski(esk2_0)))
| ~ r3_lattices(esk1_0,esk2_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_93,c_0_102]) ).
cnf(c_0_108,plain,
r2_hidden(X1,k1_tarski(X1)),
inference(er,[status(thm)],[c_0_103]) ).
cnf(c_0_109,plain,
( v1_xboole_0(X1)
| r1_filter_2(X2,k22_filter_2(X3,X4,X5),X1)
| v3_struct_0(X3)
| ~ r3_lattices(X3,esk3_3(X2,k22_filter_2(X3,X4,X5),X1),X5)
| ~ r3_lattices(X3,X4,esk3_3(X2,k22_filter_2(X3,X4,X5),X1))
| ~ r3_lattices(X3,X4,X5)
| ~ m1_subset_1(esk3_3(X2,k22_filter_2(X3,X4,X5),X1),u1_struct_0(X3))
| ~ m1_subset_1(esk3_3(X2,k22_filter_2(X3,X4,X5),X1),X1)
| ~ m1_subset_1(k22_filter_2(X3,X4,X5),k1_zfmisc_1(X2))
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ 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_104,c_0_105]) ).
cnf(c_0_110,negated_conjecture,
( esk3_3(u1_struct_0(esk1_0),k22_filter_2(esk1_0,esk2_0,esk2_0),k1_tarski(esk2_0)) = esk2_0
| ~ r3_lattices(esk1_0,esk2_0,esk2_0)
| ~ v9_lattices(esk1_0)
| ~ v8_lattices(esk1_0)
| ~ v6_lattices(esk1_0)
| ~ v4_lattices(esk1_0) ),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_111,plain,
m1_subset_1(X1,k1_tarski(X1)),
inference(spm,[status(thm)],[c_0_70,c_0_108]) ).
cnf(c_0_112,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk1_0))
| ~ r1_filter_2(u1_struct_0(esk1_0),k22_filter_2(esk1_0,esk2_0,esk2_0),k1_tarski(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_62]),c_0_43])]) ).
cnf(c_0_113,negated_conjecture,
( r1_filter_2(u1_struct_0(esk1_0),k22_filter_2(esk1_0,esk2_0,esk2_0),k1_tarski(esk2_0))
| ~ r3_lattices(esk1_0,esk2_0,esk2_0)
| ~ v9_lattices(esk1_0)
| ~ v8_lattices(esk1_0)
| ~ v6_lattices(esk1_0)
| ~ v4_lattices(esk1_0)
| ~ m1_subset_1(k22_filter_2(esk1_0,esk2_0,esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ m1_subset_1(k1_tarski(esk2_0),k1_zfmisc_1(u1_struct_0(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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_43]),c_0_111]),c_0_44]),c_0_45])]),c_0_75]),c_0_46]) ).
cnf(c_0_114,negated_conjecture,
( ~ r3_lattices(esk1_0,esk2_0,esk2_0)
| ~ v9_lattices(esk1_0)
| ~ v8_lattices(esk1_0)
| ~ v6_lattices(esk1_0)
| ~ v4_lattices(esk1_0)
| ~ m1_subset_1(k22_filter_2(esk1_0,esk2_0,esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ m1_subset_1(k1_tarski(esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_63]) ).
cnf(c_0_115,negated_conjecture,
( ~ r3_lattices(esk1_0,esk2_0,esk2_0)
| ~ v9_lattices(esk1_0)
| ~ v8_lattices(esk1_0)
| ~ v6_lattices(esk1_0)
| ~ v4_lattices(esk1_0)
| ~ m1_subset_1(k1_tarski(esk2_0),k1_zfmisc_1(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_114,c_0_38]),c_0_43]),c_0_44]),c_0_45])]),c_0_46]) ).
cnf(c_0_116,plain,
( v1_xboole_0(X1)
| m1_subset_1(k1_tarski(X2),k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_62]) ).
fof(c_0_117,plain,
! [X2] :
( ( ~ v3_struct_0(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v4_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v5_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v6_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v7_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v8_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v9_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[cc1_lattices])])])]) ).
cnf(c_0_118,negated_conjecture,
( ~ r3_lattices(esk1_0,esk2_0,esk2_0)
| ~ v9_lattices(esk1_0)
| ~ v8_lattices(esk1_0)
| ~ v6_lattices(esk1_0)
| ~ v4_lattices(esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_43])]),c_0_63]) ).
cnf(c_0_119,plain,
( v3_struct_0(X1)
| v4_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_120,negated_conjecture,
( ~ r3_lattices(esk1_0,esk2_0,esk2_0)
| ~ v9_lattices(esk1_0)
| ~ v8_lattices(esk1_0)
| ~ v6_lattices(esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_44]),c_0_45])]),c_0_46]) ).
cnf(c_0_121,plain,
( v3_struct_0(X1)
| v9_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
fof(c_0_122,plain,
! [X4,X5,X6] :
( v3_struct_0(X4)
| ~ v6_lattices(X4)
| ~ v8_lattices(X4)
| ~ v9_lattices(X4)
| ~ l3_lattices(X4)
| ~ m1_subset_1(X5,u1_struct_0(X4))
| ~ m1_subset_1(X6,u1_struct_0(X4))
| r3_lattices(X4,X5,X5) ),
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)],[reflexivity_r3_lattices])])])])]) ).
cnf(c_0_123,negated_conjecture,
( ~ r3_lattices(esk1_0,esk2_0,esk2_0)
| ~ v8_lattices(esk1_0)
| ~ v6_lattices(esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_44]),c_0_45])]),c_0_46]) ).
cnf(c_0_124,plain,
( v3_struct_0(X1)
| v8_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_125,plain,
( r3_lattices(X1,X2,X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v9_lattices(X1)
| ~ v8_lattices(X1)
| ~ v6_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_122]) ).
cnf(c_0_126,negated_conjecture,
( ~ r3_lattices(esk1_0,esk2_0,esk2_0)
| ~ v6_lattices(esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_44]),c_0_45])]),c_0_46]) ).
cnf(c_0_127,plain,
( v3_struct_0(X1)
| v6_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_128,plain,
( r3_lattices(X1,X2,X2)
| v3_struct_0(X1)
| ~ v9_lattices(X1)
| ~ v8_lattices(X1)
| ~ v6_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[c_0_125,c_0_59]) ).
cnf(c_0_129,negated_conjecture,
~ r3_lattices(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_126,c_0_127]),c_0_44]),c_0_45])]),c_0_46]) ).
cnf(c_0_130,plain,
( r3_lattices(X1,X2,X2)
| v3_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_128,c_0_121]),c_0_127]),c_0_124]) ).
cnf(c_0_131,negated_conjecture,
$false,
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_129,c_0_130]),c_0_43]),c_0_44]),c_0_45])]),c_0_46]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT328+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 29 13:54:57 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.24/2.42 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.24/2.42 # Preprocessing time : 0.022 s
% 0.24/2.42
% 0.24/2.42 # Proof found!
% 0.24/2.42 # SZS status Theorem
% 0.24/2.42 # SZS output start CNFRefutation
% See solution above
% 0.24/2.42 # Proof object total steps : 132
% 0.24/2.42 # Proof object clause steps : 89
% 0.24/2.42 # Proof object formula steps : 43
% 0.24/2.42 # Proof object conjectures : 34
% 0.24/2.42 # Proof object clause conjectures : 31
% 0.24/2.42 # Proof object formula conjectures : 3
% 0.24/2.42 # Proof object initial clauses used : 34
% 0.24/2.42 # Proof object initial formulas used : 21
% 0.24/2.42 # Proof object generating inferences : 53
% 0.24/2.42 # Proof object simplifying inferences : 90
% 0.24/2.42 # Training examples: 0 positive, 0 negative
% 0.24/2.42 # Parsed axioms : 57
% 0.24/2.42 # Removed by relevancy pruning/SinE : 0
% 0.24/2.42 # Initial clauses : 91
% 0.24/2.42 # Removed in clause preprocessing : 8
% 0.24/2.42 # Initial clauses in saturation : 83
% 0.24/2.42 # Processed clauses : 3208
% 0.24/2.42 # ...of these trivial : 3
% 0.24/2.42 # ...subsumed : 1846
% 0.24/2.42 # ...remaining for further processing : 1359
% 0.24/2.42 # Other redundant clauses eliminated : 16
% 0.24/2.42 # Clauses deleted for lack of memory : 0
% 0.24/2.42 # Backward-subsumed : 65
% 0.24/2.42 # Backward-rewritten : 9
% 0.24/2.42 # Generated clauses : 34774
% 0.24/2.42 # ...of the previous two non-trivial : 33705
% 0.24/2.42 # Contextual simplify-reflections : 2137
% 0.24/2.42 # Paramodulations : 34734
% 0.24/2.42 # Factorizations : 4
% 0.24/2.42 # Equation resolutions : 36
% 0.24/2.42 # Current number of processed clauses : 1283
% 0.24/2.42 # Positive orientable unit clauses : 29
% 0.24/2.42 # Positive unorientable unit clauses: 0
% 0.24/2.42 # Negative unit clauses : 17
% 0.24/2.42 # Non-unit-clauses : 1237
% 0.24/2.42 # Current number of unprocessed clauses: 30085
% 0.24/2.42 # ...number of literals in the above : 294445
% 0.24/2.42 # Current number of archived formulas : 0
% 0.24/2.42 # Current number of archived clauses : 74
% 0.24/2.42 # Clause-clause subsumption calls (NU) : 1152340
% 0.24/2.42 # Rec. Clause-clause subsumption calls : 168385
% 0.24/2.42 # Non-unit clause-clause subsumptions : 3196
% 0.24/2.42 # Unit Clause-clause subsumption calls : 1566
% 0.24/2.42 # Rewrite failures with RHS unbound : 0
% 0.24/2.42 # BW rewrite match attempts : 24
% 0.24/2.42 # BW rewrite match successes : 4
% 0.24/2.42 # Condensation attempts : 0
% 0.24/2.42 # Condensation successes : 0
% 0.24/2.42 # Termbank termtop insertions : 2272745
% 0.24/2.42
% 0.24/2.42 # -------------------------------------------------
% 0.24/2.42 # User time : 1.228 s
% 0.24/2.42 # System time : 0.024 s
% 0.24/2.42 # Total time : 1.252 s
% 0.24/2.42 # Maximum resident set size: 53768 pages
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