%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LAT312+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:04:51 PM UTC 2026
% Result : Theorem 71.23s 11.82s
% Output : CNFRefutation 71.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 31
% Syntax : Number of formulae : 197 ( 54 unt; 0 def)
% Number of atoms : 836 ( 88 equ)
% Maximal formula atoms : 36 ( 4 avg)
% Number of connectives : 982 ( 343 ~; 344 |; 197 &)
% ( 4 <=>; 94 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 1 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 3 con; 0-2 aty)
% Number of variables : 259 ( 3 sgn 179 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t41_filter_2,conjecture,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( ( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X3) )
=> ( r1_filter_2(u1_struct_0(X1),X3,k6_domain_1(u1_struct_0(X1),X2))
=> r1_filter_2(u1_struct_0(X1),k19_filter_2(X1,X3),k18_filter_2(X1,X2)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t41_filter_2) ).
fof(dt_k19_filter_2,axiom,
! [X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2)
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> m2_filter_2(k19_filter_2(X1,X2),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k19_filter_2) ).
fof(dt_m2_filter_2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( m2_lattice4(X2,X1)
& ~ v1_xboole_0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_filter_2) ).
fof(dt_m2_lattice4,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_lattice4(X2,X1)
=> m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_lattice4) ).
fof(dt_k3_filter_2,axiom,
! [X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2)
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> m1_filter_2(k3_filter_2(X1,X2),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_filter_2) ).
fof(redefinition_m1_filter_2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_filter_2(X2,X1)
<=> m1_filter_0(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m1_filter_2) ).
fof(dt_m1_filter_0,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_filter_0) ).
fof(dt_m1_filter_2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_filter_2(X2,X1)
=> ( m2_lattice4(X2,X1)
& ~ v1_xboole_0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_filter_2) ).
fof(d6_filter_2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(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_k6_domain_1,axiom,
! [X1,X2] :
( ( m1_subset_1(X2,X1)
& ~ v1_xboole_0(X1) )
=> k6_domain_1(X1,X2) = k1_tarski(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k6_domain_1) ).
fof(rc1_subset_1,axiom,
! [X1] :
( ~ v1_xboole_0(X1)
=> ? [X2] :
( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_subset_1) ).
fof(t5_subset,axiom,
! [X1,X2,X3] :
~ ( v1_xboole_0(X3)
& m1_subset_1(X2,k1_zfmisc_1(X3))
& r2_hidden(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_subset) ).
fof(t2_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,X2)
=> ( r2_hidden(X1,X2)
| v1_xboole_0(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(existence_m1_subset_1,axiom,
! [X1] :
? [X2] : m1_subset_1(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(dt_k7_filter_2,axiom,
! [X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> m1_subset_1(k7_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_filter_2) ).
fof(dt_k6_domain_1,axiom,
! [X1,X2] :
( ( m1_subset_1(X2,X1)
& ~ v1_xboole_0(X1) )
=> m1_subset_1(k6_domain_1(X1,X2),k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_domain_1) ).
fof(d4_filter_2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(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(dt_k5_filter_2,axiom,
! [X1,X2] :
( ( m1_subset_1(X2,u1_struct_0(X1))
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_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(redefinition_r1_filter_2,axiom,
! [X1,X2,X3] :
( ( m1_subset_1(X3,k1_zfmisc_1(X1))
& m1_subset_1(X2,k1_zfmisc_1(X1))
& ~ v1_xboole_0(X1) )
=> ( r1_filter_2(X1,X2,X3)
<=> X2 = X3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_r1_filter_2) ).
fof(fc6_lattice2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v10_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& ~ v3_struct_0(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_lattice2) ).
fof(d7_filter_2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(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(fc1_filter_2,axiom,
! [X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2)
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ~ v1_xboole_0(k7_filter_2(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_filter_2) ).
fof(d9_filter_2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> k18_filter_2(X1,X2) = a_2_0_filter_2(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_filter_2) ).
fof(redefinition_k3_filter_2,axiom,
! [X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2)
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> k3_filter_2(X1,X2) = k3_filter_0(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k3_filter_2) ).
fof(t37_filter_2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2) )
=> ! [X3] :
( ( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
& ~ v1_xboole_0(X3) )
=> ( k3_filter_2(k1_lattice2(X1),X3) = k19_filter_2(X1,k8_filter_2(X1,X3))
& k3_filter_2(X1,k8_filter_2(X1,X3)) = k19_filter_2(k1_lattice2(X1),X3)
& k3_filter_2(X1,X2) = k19_filter_2(k1_lattice2(X1),k7_filter_2(X1,X2))
& k3_filter_2(k1_lattice2(X1),k7_filter_2(X1,X2)) = k19_filter_2(X1,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t37_filter_2) ).
fof(dt_k8_filter_2,axiom,
! [X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(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(t30_filter_0,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( ( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X3) )
=> ( X3 = k6_domain_1(u1_struct_0(X1),X2)
=> k3_filter_0(X1,X3) = k2_filter_0(X1,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t30_filter_0) ).
fof(t30_filter_2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ( k18_filter_2(k1_lattice2(X1),k5_filter_2(X1,X2)) = k2_filter_2(X1,X2)
& k18_filter_2(X1,X2) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t30_filter_2) ).
fof(redefinition_k2_filter_2,axiom,
! [X1,X2] :
( ( m1_subset_1(X2,u1_struct_0(X1))
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> k2_filter_2(X1,X2) = k2_filter_0(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k2_filter_2) ).
fof(dt_k1_lattice2,axiom,
! [X1] :
( l3_lattices(X1)
=> ( l3_lattices(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_lattice2) ).
fof(fc1_lattice2,axiom,
! [X1] :
( ( l3_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v3_lattices(k1_lattice2(X1))
& ~ v3_struct_0(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_lattice2) ).
fof(c_0_31,negated_conjecture,
~ ! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( ( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X3) )
=> ( r1_filter_2(u1_struct_0(X1),X3,k6_domain_1(u1_struct_0(X1),X2))
=> r1_filter_2(u1_struct_0(X1),k19_filter_2(X1,X3),k18_filter_2(X1,X2)) ) ) ) ),
inference(assume_negation,[status(cth)],[t41_filter_2]) ).
fof(c_0_32,plain,
! [X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2)
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> m2_filter_2(k19_filter_2(X1,X2),X1) ),
inference(fof_simplification,[status(thm)],[dt_k19_filter_2]) ).
fof(c_0_33,negated_conjecture,
~ ! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( ( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X3) )
=> ( r1_filter_2(u1_struct_0(X1),X3,k6_domain_1(u1_struct_0(X1),X2))
=> r1_filter_2(u1_struct_0(X1),k19_filter_2(X1,X3),k18_filter_2(X1,X2)) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_31]) ).
fof(c_0_34,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( m2_lattice4(X2,X1)
& ~ v1_xboole_0(X2) ) ) ),
inference(fof_simplification,[status(thm)],[dt_m2_filter_2]) ).
fof(c_0_35,plain,
! [X37,X38] :
( m2_filter_2(k19_filter_2(X37,X38),X37)
| ~ m1_subset_1(X38,k1_zfmisc_1(u1_struct_0(X37)))
| v1_xboole_0(X38)
| ~ l3_lattices(X37)
| ~ v10_lattices(X37)
| v3_struct_0(X37) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])]) ).
fof(c_0_36,negated_conjecture,
( ~ r1_filter_2(u1_struct_0(esk1_0),k19_filter_2(esk1_0,esk3_0),k18_filter_2(esk1_0,esk2_0))
& r1_filter_2(u1_struct_0(esk1_0),esk3_0,k6_domain_1(u1_struct_0(esk1_0),esk2_0))
& m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
& ~ v1_xboole_0(esk3_0)
& m1_subset_1(esk2_0,u1_struct_0(esk1_0))
& l3_lattices(esk1_0)
& v10_lattices(esk1_0)
& ~ v3_struct_0(esk1_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])])]) ).
fof(c_0_37,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_lattice4(X2,X1)
=> m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ),
inference(fof_simplification,[status(thm)],[dt_m2_lattice4]) ).
fof(c_0_38,plain,
! [X63,X64] :
( ( ~ l3_lattices(X63)
| ~ v10_lattices(X63)
| v3_struct_0(X63)
| ~ m2_filter_2(X64,X63)
| m2_lattice4(X64,X63) )
& ( ~ l3_lattices(X63)
| ~ v10_lattices(X63)
| v3_struct_0(X63)
| ~ m2_filter_2(X64,X63)
| ~ v1_xboole_0(X64) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])])])]) ).
cnf(c_0_39,plain,
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m2_filter_2(k19_filter_2(X1,X2),X1)
| v1_xboole_0(X2)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_40,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_41,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_42,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_43,negated_conjecture,
~ v1_xboole_0(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_44,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_45,plain,
! [X65,X66] :
( m1_subset_1(X66,k1_zfmisc_1(u1_struct_0(X65)))
| ~ m2_lattice4(X66,X65)
| ~ l3_lattices(X65)
| ~ v10_lattices(X65)
| v3_struct_0(X65) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])])]) ).
cnf(c_0_46,plain,
( ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m2_filter_2(X1,X2)
| v3_struct_0(X2)
| m2_lattice4(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_47,negated_conjecture,
m2_filter_2(k19_filter_2(esk1_0,esk3_0),esk1_0),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]),c_0_42])]),c_0_43]),c_0_44]) ).
cnf(c_0_48,plain,
( ~ m2_lattice4(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_49,negated_conjecture,
m2_lattice4(k19_filter_2(esk1_0,esk3_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_46,c_0_47]),c_0_41]),c_0_42])]),c_0_44]) ).
cnf(c_0_50,plain,
( ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m2_filter_2(X1,X2)
| ~ v1_xboole_0(X1)
| v3_struct_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_51,negated_conjecture,
m1_subset_1(k19_filter_2(esk1_0,esk3_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(spm,[status(thm)],[c_0_48,c_0_49]),c_0_41]),c_0_42])]),c_0_44]) ).
cnf(c_0_52,negated_conjecture,
~ v1_xboole_0(k19_filter_2(esk1_0,esk3_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_47]),c_0_41]),c_0_42])]),c_0_44]) ).
fof(c_0_53,plain,
! [X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2)
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> m1_filter_2(k3_filter_2(X1,X2),X1) ),
inference(fof_simplification,[status(thm)],[dt_k3_filter_2]) ).
cnf(c_0_54,negated_conjecture,
m2_filter_2(k19_filter_2(esk1_0,k19_filter_2(esk1_0,esk3_0)),esk1_0),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_51]),c_0_41]),c_0_42])]),c_0_52]),c_0_44]) ).
fof(c_0_55,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_filter_2(X2,X1)
<=> m1_filter_0(X2,X1) ) ),
inference(fof_simplification,[status(thm)],[redefinition_m1_filter_2]) ).
fof(c_0_56,plain,
! [X46,X47] :
( m1_filter_2(k3_filter_2(X46,X47),X46)
| ~ m1_subset_1(X47,k1_zfmisc_1(u1_struct_0(X46)))
| v1_xboole_0(X47)
| ~ l3_lattices(X46)
| ~ v10_lattices(X46)
| v3_struct_0(X46) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])])]) ).
cnf(c_0_57,negated_conjecture,
m2_lattice4(k19_filter_2(esk1_0,k19_filter_2(esk1_0,esk3_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_46,c_0_54]),c_0_41]),c_0_42])]),c_0_44]) ).
fof(c_0_58,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2) ) ) ),
inference(fof_simplification,[status(thm)],[dt_m1_filter_0]) ).
fof(c_0_59,plain,
! [X152,X153] :
( ( ~ l3_lattices(X152)
| ~ v10_lattices(X152)
| v3_struct_0(X152)
| m1_filter_2(X153,X152)
| ~ m1_filter_0(X153,X152) )
& ( ~ l3_lattices(X152)
| ~ v10_lattices(X152)
| v3_struct_0(X152)
| m1_filter_0(X153,X152)
| ~ m1_filter_2(X153,X152) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_55])])])])]) ).
cnf(c_0_60,plain,
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m1_filter_2(k3_filter_2(X1,X2),X1)
| v1_xboole_0(X2)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_61,negated_conjecture,
m1_subset_1(k19_filter_2(esk1_0,k19_filter_2(esk1_0,esk3_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(spm,[status(thm)],[c_0_48,c_0_57]),c_0_41]),c_0_42])]),c_0_44]) ).
cnf(c_0_62,negated_conjecture,
~ v1_xboole_0(k19_filter_2(esk1_0,k19_filter_2(esk1_0,esk3_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_54]),c_0_41]),c_0_42])]),c_0_44]) ).
fof(c_0_63,plain,
! [X59,X60] :
( ( ~ l3_lattices(X59)
| ~ v10_lattices(X59)
| v3_struct_0(X59)
| ~ m1_filter_0(X60,X59)
| m1_subset_1(X60,k1_zfmisc_1(u1_struct_0(X59))) )
& ( ~ l3_lattices(X59)
| ~ v10_lattices(X59)
| v3_struct_0(X59)
| ~ m1_filter_0(X60,X59)
| ~ v1_xboole_0(X60) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_58])])])])]) ).
cnf(c_0_64,plain,
( ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_filter_2(X1,X2)
| v3_struct_0(X2)
| m1_filter_0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_65,negated_conjecture,
m1_filter_2(k3_filter_2(esk1_0,k19_filter_2(esk1_0,esk3_0)),esk1_0),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_51]),c_0_41]),c_0_42])]),c_0_52]),c_0_44]) ).
fof(c_0_66,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_filter_2(X2,X1)
=> ( m2_lattice4(X2,X1)
& ~ v1_xboole_0(X2) ) ) ),
inference(fof_simplification,[status(thm)],[dt_m1_filter_2]) ).
fof(c_0_67,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(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_68,negated_conjecture,
m2_filter_2(k19_filter_2(esk1_0,k19_filter_2(esk1_0,k19_filter_2(esk1_0,esk3_0))),esk1_0),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_61]),c_0_41]),c_0_42])]),c_0_62]),c_0_44]) ).
fof(c_0_69,plain,
! [X1,X2] :
( ( m1_subset_1(X2,X1)
& ~ v1_xboole_0(X1) )
=> k6_domain_1(X1,X2) = k1_tarski(X2) ),
inference(fof_simplification,[status(thm)],[redefinition_k6_domain_1]) ).
fof(c_0_70,plain,
! [X1] :
( ~ v1_xboole_0(X1)
=> ? [X2] :
( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(X1)) ) ),
inference(fof_simplification,[status(thm)],[rc1_subset_1]) ).
fof(c_0_71,plain,
! [X193,X194,X195] :
( ~ v1_xboole_0(X195)
| ~ m1_subset_1(X194,k1_zfmisc_1(X195))
| ~ r2_hidden(X193,X194) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])])]) ).
cnf(c_0_72,plain,
( ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_filter_0(X1,X2)
| v3_struct_0(X2)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_73,negated_conjecture,
m1_filter_0(k3_filter_2(esk1_0,k19_filter_2(esk1_0,esk3_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_64,c_0_65]),c_0_41]),c_0_42])]),c_0_44]) ).
fof(c_0_74,plain,
! [X175,X176] :
( r2_hidden(X175,X176)
| v1_xboole_0(X176)
| ~ m1_subset_1(X175,X176) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])])]) ).
fof(c_0_75,plain,
! [X83] : m1_subset_1(esk11_1(X83),X83),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).
fof(c_0_76,plain,
! [X61,X62] :
( ( ~ l3_lattices(X61)
| ~ v10_lattices(X61)
| v3_struct_0(X61)
| ~ m1_filter_2(X62,X61)
| m2_lattice4(X62,X61) )
& ( ~ l3_lattices(X61)
| ~ v10_lattices(X61)
| v3_struct_0(X61)
| ~ m1_filter_2(X62,X61)
| ~ v1_xboole_0(X62) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_66])])])])]) ).
fof(c_0_77,plain,
! [X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> m1_subset_1(k7_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) ),
inference(fof_simplification,[status(thm)],[dt_k7_filter_2]) ).
fof(c_0_78,plain,
! [X26,X27] :
( k7_filter_2(X26,X27) = X27
| ~ m1_subset_1(X27,k1_zfmisc_1(u1_struct_0(X26)))
| ~ l3_lattices(X26)
| ~ v10_lattices(X26)
| v3_struct_0(X26) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_67])])])]) ).
cnf(c_0_79,negated_conjecture,
m2_lattice4(k19_filter_2(esk1_0,k19_filter_2(esk1_0,k19_filter_2(esk1_0,esk3_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_46,c_0_68]),c_0_41]),c_0_42])]),c_0_44]) ).
fof(c_0_80,plain,
! [X1,X2] :
( ( m1_subset_1(X2,X1)
& ~ v1_xboole_0(X1) )
=> m1_subset_1(k6_domain_1(X1,X2),k1_zfmisc_1(X1)) ),
inference(fof_simplification,[status(thm)],[dt_k6_domain_1]) ).
fof(c_0_81,plain,
! [X150,X151] :
( k6_domain_1(X150,X151) = k1_tarski(X151)
| ~ m1_subset_1(X151,X150)
| v1_xboole_0(X150) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_69])])]) ).
fof(c_0_82,plain,
! [X131] :
( ( v1_xboole_0(X131)
| ~ v1_xboole_0(esk20_1(X131)) )
& ( v1_xboole_0(X131)
| m1_subset_1(esk20_1(X131),k1_zfmisc_1(X131)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_70])])])])]) ).
cnf(c_0_83,plain,
( ~ v1_xboole_0(X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_84,negated_conjecture,
m1_subset_1(k3_filter_2(esk1_0,k19_filter_2(esk1_0,esk3_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(spm,[status(thm)],[c_0_72,c_0_73]),c_0_41]),c_0_42])]),c_0_44]) ).
cnf(c_0_85,plain,
( ~ m1_subset_1(X1,X2)
| r2_hidden(X1,X2)
| v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_86,plain,
m1_subset_1(esk11_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_87,plain,
( ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_filter_2(X1,X2)
| ~ v1_xboole_0(X1)
| v3_struct_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
fof(c_0_88,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(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_89,plain,
! [X52,X53] :
( m1_subset_1(k7_filter_2(X52,X53),k1_zfmisc_1(u1_struct_0(k1_lattice2(X52))))
| ~ m1_subset_1(X53,k1_zfmisc_1(u1_struct_0(X52)))
| ~ l3_lattices(X52)
| ~ v10_lattices(X52)
| v3_struct_0(X52) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_77])])]) ).
cnf(c_0_90,plain,
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| k7_filter_2(X1,X2) = X2
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_91,negated_conjecture,
m1_subset_1(k19_filter_2(esk1_0,k19_filter_2(esk1_0,k19_filter_2(esk1_0,esk3_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(spm,[status(thm)],[c_0_48,c_0_79]),c_0_41]),c_0_42])]),c_0_44]) ).
fof(c_0_92,plain,
! [X50,X51] :
( m1_subset_1(k6_domain_1(X50,X51),k1_zfmisc_1(X50))
| ~ m1_subset_1(X51,X50)
| v1_xboole_0(X50) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_80])])]) ).
cnf(c_0_93,plain,
( ~ m1_subset_1(X2,X1)
| k6_domain_1(X1,X2) = k1_tarski(X2)
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_94,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_95,plain,
( v1_xboole_0(X1)
| m1_subset_1(esk20_1(X1),k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_96,negated_conjecture,
( ~ v1_xboole_0(u1_struct_0(esk1_0))
| ~ r2_hidden(X1,k3_filter_2(esk1_0,k19_filter_2(esk1_0,esk3_0))) ),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_97,plain,
( v1_xboole_0(X1)
| r2_hidden(esk11_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_98,negated_conjecture,
~ v1_xboole_0(k3_filter_2(esk1_0,k19_filter_2(esk1_0,esk3_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_65]),c_0_41]),c_0_42])]),c_0_44]) ).
fof(c_0_99,plain,
! [X1,X2] :
( ( m1_subset_1(X2,u1_struct_0(X1))
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_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_100,plain,
! [X24,X25] :
( k5_filter_2(X24,X25) = X25
| ~ m1_subset_1(X25,u1_struct_0(X24))
| ~ l3_lattices(X24)
| ~ v10_lattices(X24)
| v3_struct_0(X24) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_88])])])]) ).
cnf(c_0_101,plain,
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m1_subset_1(k7_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_102,negated_conjecture,
k7_filter_2(esk1_0,k19_filter_2(esk1_0,k19_filter_2(esk1_0,k19_filter_2(esk1_0,esk3_0)))) = k19_filter_2(esk1_0,k19_filter_2(esk1_0,k19_filter_2(esk1_0,esk3_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_41]),c_0_42])]),c_0_44]) ).
fof(c_0_103,plain,
! [X1,X2,X3] :
( ( m1_subset_1(X3,k1_zfmisc_1(X1))
& m1_subset_1(X2,k1_zfmisc_1(X1))
& ~ v1_xboole_0(X1) )
=> ( r1_filter_2(X1,X2,X3)
<=> X2 = X3 ) ),
inference(fof_simplification,[status(thm)],[redefinition_r1_filter_2]) ).
cnf(c_0_104,plain,
( ~ m1_subset_1(X2,X1)
| m1_subset_1(k6_domain_1(X1,X2),k1_zfmisc_1(X1))
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_105,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk1_0))
| k6_domain_1(u1_struct_0(esk1_0),esk2_0) = k1_tarski(esk2_0) ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
fof(c_0_106,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v10_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& ~ v3_struct_0(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc6_lattice2]) ).
fof(c_0_107,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(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]) ).
cnf(c_0_108,plain,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| v1_xboole_0(u1_struct_0(X1))
| k7_filter_2(X1,esk20_1(u1_struct_0(X1))) = esk20_1(u1_struct_0(X1)) ),
inference(spm,[status(thm)],[c_0_90,c_0_95]) ).
cnf(c_0_109,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_98]) ).
fof(c_0_110,plain,
! [X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2)
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ~ v1_xboole_0(k7_filter_2(X1,X2)) ),
inference(fof_simplification,[status(thm)],[fc1_filter_2]) ).
fof(c_0_111,plain,
! [X48,X49] :
( m1_subset_1(k5_filter_2(X48,X49),u1_struct_0(k1_lattice2(X48)))
| ~ m1_subset_1(X49,u1_struct_0(X48))
| ~ l3_lattices(X48)
| ~ v10_lattices(X48)
| v3_struct_0(X48) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_99])])]) ).
cnf(c_0_112,plain,
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| k5_filter_2(X1,X2) = X2
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_113,negated_conjecture,
m1_subset_1(k19_filter_2(esk1_0,k19_filter_2(esk1_0,k19_filter_2(esk1_0,esk3_0))),k1_zfmisc_1(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_101,c_0_102]),c_0_91]),c_0_41]),c_0_42])]),c_0_44]) ).
fof(c_0_114,plain,
! [X157,X158,X159] :
( ( ~ m1_subset_1(X159,k1_zfmisc_1(X157))
| ~ m1_subset_1(X158,k1_zfmisc_1(X157))
| v1_xboole_0(X157)
| r1_filter_2(X157,X158,X159)
| X158 != X159 )
& ( ~ m1_subset_1(X159,k1_zfmisc_1(X157))
| ~ m1_subset_1(X158,k1_zfmisc_1(X157))
| v1_xboole_0(X157)
| X158 = X159
| ~ r1_filter_2(X157,X158,X159) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_103])])])]) ).
cnf(c_0_115,negated_conjecture,
( m1_subset_1(k1_tarski(esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0)))
| v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_94])]) ).
cnf(c_0_116,negated_conjecture,
r1_filter_2(u1_struct_0(esk1_0),esk3_0,k6_domain_1(u1_struct_0(esk1_0),esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_117,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> k18_filter_2(X1,X2) = a_2_0_filter_2(X1,X2) ) ),
inference(fof_simplification,[status(thm)],[d9_filter_2]) ).
fof(c_0_118,plain,
! [X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2)
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> k3_filter_2(X1,X2) = k3_filter_0(X1,X2) ),
inference(fof_simplification,[status(thm)],[redefinition_k3_filter_2]) ).
fof(c_0_119,plain,
! [X110] :
( ( ~ l3_lattices(X110)
| ~ v10_lattices(X110)
| v3_struct_0(X110)
| v10_lattices(k1_lattice2(X110)) )
& ( ~ l3_lattices(X110)
| ~ v10_lattices(X110)
| v3_struct_0(X110)
| v9_lattices(k1_lattice2(X110)) )
& ( ~ l3_lattices(X110)
| ~ v10_lattices(X110)
| v3_struct_0(X110)
| v8_lattices(k1_lattice2(X110)) )
& ( ~ l3_lattices(X110)
| ~ v10_lattices(X110)
| v3_struct_0(X110)
| v7_lattices(k1_lattice2(X110)) )
& ( ~ l3_lattices(X110)
| ~ v10_lattices(X110)
| v3_struct_0(X110)
| v6_lattices(k1_lattice2(X110)) )
& ( ~ l3_lattices(X110)
| ~ v10_lattices(X110)
| v3_struct_0(X110)
| v5_lattices(k1_lattice2(X110)) )
& ( ~ l3_lattices(X110)
| ~ v10_lattices(X110)
| v3_struct_0(X110)
| v4_lattices(k1_lattice2(X110)) )
& ( ~ l3_lattices(X110)
| ~ v10_lattices(X110)
| v3_struct_0(X110)
| v3_lattices(k1_lattice2(X110)) )
& ( ~ l3_lattices(X110)
| ~ v10_lattices(X110)
| v3_struct_0(X110)
| ~ v3_struct_0(k1_lattice2(X110)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_106])])])]) ).
fof(c_0_120,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2) )
=> ! [X3] :
( ( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
& ~ v1_xboole_0(X3) )
=> ( k3_filter_2(k1_lattice2(X1),X3) = k19_filter_2(X1,k8_filter_2(X1,X3))
& k3_filter_2(X1,k8_filter_2(X1,X3)) = k19_filter_2(k1_lattice2(X1),X3)
& k3_filter_2(X1,X2) = k19_filter_2(k1_lattice2(X1),k7_filter_2(X1,X2))
& k3_filter_2(k1_lattice2(X1),k7_filter_2(X1,X2)) = k19_filter_2(X1,X2) ) ) ) ),
inference(fof_simplification,[status(thm)],[t37_filter_2]) ).
fof(c_0_121,plain,
! [X28,X29] :
( k8_filter_2(X28,X29) = X29
| ~ m1_subset_1(X29,k1_zfmisc_1(u1_struct_0(k1_lattice2(X28))))
| ~ l3_lattices(X28)
| ~ v10_lattices(X28)
| v3_struct_0(X28) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_107])])])]) ).
cnf(c_0_122,negated_conjecture,
k7_filter_2(esk1_0,esk3_0) = esk3_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_40]),c_0_41]),c_0_42])]),c_0_44]) ).
fof(c_0_123,plain,
! [X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(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_124,plain,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| m1_subset_1(k7_filter_2(X1,esk20_1(u1_struct_0(X1))),k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
| v1_xboole_0(u1_struct_0(X1)) ),
inference(spm,[status(thm)],[c_0_101,c_0_95]) ).
cnf(c_0_125,negated_conjecture,
k7_filter_2(esk1_0,esk20_1(u1_struct_0(esk1_0))) = esk20_1(u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_41]),c_0_42])]),c_0_109]),c_0_44]) ).
fof(c_0_126,plain,
! [X92,X93] :
( ~ v1_xboole_0(k7_filter_2(X92,X93))
| ~ m1_subset_1(X93,k1_zfmisc_1(u1_struct_0(X92)))
| v1_xboole_0(X93)
| ~ l3_lattices(X92)
| ~ v10_lattices(X92)
| v3_struct_0(X92) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_110])])]) ).
fof(c_0_127,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( ( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X3) )
=> ( X3 = k6_domain_1(u1_struct_0(X1),X2)
=> k3_filter_0(X1,X3) = k2_filter_0(X1,X2) ) ) ) ),
inference(fof_simplification,[status(thm)],[t30_filter_0]) ).
cnf(c_0_128,plain,
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m1_subset_1(k5_filter_2(X1,X2),u1_struct_0(k1_lattice2(X1)))
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_129,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_112,c_0_94]),c_0_41]),c_0_42])]),c_0_44]) ).
cnf(c_0_130,negated_conjecture,
( ~ v1_xboole_0(u1_struct_0(k1_lattice2(esk1_0)))
| ~ r2_hidden(X1,k19_filter_2(esk1_0,k19_filter_2(esk1_0,k19_filter_2(esk1_0,esk3_0)))) ),
inference(spm,[status(thm)],[c_0_83,c_0_113]) ).
cnf(c_0_131,negated_conjecture,
~ v1_xboole_0(k19_filter_2(esk1_0,k19_filter_2(esk1_0,k19_filter_2(esk1_0,esk3_0)))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_68]),c_0_41]),c_0_42])]),c_0_44]) ).
cnf(c_0_132,plain,
( ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ r1_filter_2(X1,X2,X3)
| v1_xboole_0(X1)
| X2 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_133,negated_conjecture,
m1_subset_1(k1_tarski(esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(sr,[status(thm)],[c_0_115,c_0_109]) ).
cnf(c_0_134,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk1_0))
| r1_filter_2(u1_struct_0(esk1_0),esk3_0,k1_tarski(esk2_0)) ),
inference(spm,[status(thm)],[c_0_116,c_0_105]) ).
fof(c_0_135,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ( k18_filter_2(k1_lattice2(X1),k5_filter_2(X1,X2)) = k2_filter_2(X1,X2)
& k18_filter_2(X1,X2) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,X2)) ) ) ),
inference(fof_simplification,[status(thm)],[t30_filter_2]) ).
fof(c_0_136,plain,
! [X30,X31] :
( k18_filter_2(X30,X31) = a_2_0_filter_2(X30,X31)
| ~ m1_subset_1(X31,u1_struct_0(X30))
| ~ l3_lattices(X30)
| ~ v10_lattices(X30)
| v3_struct_0(X30) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_117])])])]) ).
fof(c_0_137,plain,
! [X148,X149] :
( k3_filter_2(X148,X149) = k3_filter_0(X148,X149)
| ~ m1_subset_1(X149,k1_zfmisc_1(u1_struct_0(X148)))
| v1_xboole_0(X149)
| ~ l3_lattices(X148)
| ~ v10_lattices(X148)
| v3_struct_0(X148) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_118])])]) ).
cnf(c_0_138,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v10_lattices(k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
fof(c_0_139,plain,
! [X185,X186,X187] :
( ( ~ l3_lattices(X185)
| ~ v10_lattices(X185)
| v3_struct_0(X185)
| ~ m1_subset_1(X186,k1_zfmisc_1(u1_struct_0(X185)))
| v1_xboole_0(X186)
| ~ m1_subset_1(X187,k1_zfmisc_1(u1_struct_0(k1_lattice2(X185))))
| v1_xboole_0(X187)
| k3_filter_2(k1_lattice2(X185),X187) = k19_filter_2(X185,k8_filter_2(X185,X187)) )
& ( ~ l3_lattices(X185)
| ~ v10_lattices(X185)
| v3_struct_0(X185)
| ~ m1_subset_1(X186,k1_zfmisc_1(u1_struct_0(X185)))
| v1_xboole_0(X186)
| ~ m1_subset_1(X187,k1_zfmisc_1(u1_struct_0(k1_lattice2(X185))))
| v1_xboole_0(X187)
| k3_filter_2(X185,k8_filter_2(X185,X187)) = k19_filter_2(k1_lattice2(X185),X187) )
& ( ~ l3_lattices(X185)
| ~ v10_lattices(X185)
| v3_struct_0(X185)
| ~ m1_subset_1(X186,k1_zfmisc_1(u1_struct_0(X185)))
| v1_xboole_0(X186)
| ~ m1_subset_1(X187,k1_zfmisc_1(u1_struct_0(k1_lattice2(X185))))
| v1_xboole_0(X187)
| k3_filter_2(X185,X186) = k19_filter_2(k1_lattice2(X185),k7_filter_2(X185,X186)) )
& ( ~ l3_lattices(X185)
| ~ v10_lattices(X185)
| v3_struct_0(X185)
| ~ m1_subset_1(X186,k1_zfmisc_1(u1_struct_0(X185)))
| v1_xboole_0(X186)
| ~ m1_subset_1(X187,k1_zfmisc_1(u1_struct_0(k1_lattice2(X185))))
| v1_xboole_0(X187)
| k3_filter_2(k1_lattice2(X185),k7_filter_2(X185,X186)) = k19_filter_2(X185,X186) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_120])])])])]) ).
cnf(c_0_140,plain,
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| k8_filter_2(X1,X2) = X2
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_121]) ).
cnf(c_0_141,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(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_101,c_0_40]),c_0_122]),c_0_41]),c_0_42])]),c_0_44]) ).
fof(c_0_142,plain,
! [X54,X55] :
( m1_subset_1(k8_filter_2(X54,X55),k1_zfmisc_1(u1_struct_0(X54)))
| ~ m1_subset_1(X55,k1_zfmisc_1(u1_struct_0(k1_lattice2(X54))))
| ~ l3_lattices(X54)
| ~ v10_lattices(X54)
| v3_struct_0(X54) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_123])])]) ).
cnf(c_0_143,negated_conjecture,
m1_subset_1(esk20_1(u1_struct_0(esk1_0)),k1_zfmisc_1(u1_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(spm,[status(thm)],[c_0_124,c_0_41]),c_0_125]),c_0_42])]),c_0_109]),c_0_44]) ).
cnf(c_0_144,plain,
( ~ v1_xboole_0(k7_filter_2(X1,X2))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v1_xboole_0(X2)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_145,plain,
( ~ v1_xboole_0(esk20_1(X1))
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
fof(c_0_146,plain,
! [X180,X181,X182] :
( k3_filter_0(X180,X182) = k2_filter_0(X180,X181)
| X182 != k6_domain_1(u1_struct_0(X180),X181)
| ~ m1_subset_1(X182,k1_zfmisc_1(u1_struct_0(X180)))
| v1_xboole_0(X182)
| ~ m1_subset_1(X181,u1_struct_0(X180))
| ~ l3_lattices(X180)
| ~ v10_lattices(X180)
| v3_struct_0(X180) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_127])])])]) ).
cnf(c_0_147,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_128,c_0_94]),c_0_129]),c_0_41]),c_0_42])]),c_0_44]) ).
cnf(c_0_148,negated_conjecture,
~ v1_xboole_0(u1_struct_0(k1_lattice2(esk1_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_97]),c_0_131]) ).
cnf(c_0_149,negated_conjecture,
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ r1_filter_2(u1_struct_0(esk1_0),X1,k1_tarski(esk2_0))
| X1 = k1_tarski(esk2_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_109]) ).
cnf(c_0_150,negated_conjecture,
r1_filter_2(u1_struct_0(esk1_0),esk3_0,k1_tarski(esk2_0)),
inference(sr,[status(thm)],[c_0_134,c_0_109]) ).
fof(c_0_151,plain,
! [X1,X2] :
( ( m1_subset_1(X2,u1_struct_0(X1))
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> k2_filter_2(X1,X2) = k2_filter_0(X1,X2) ),
inference(fof_simplification,[status(thm)],[redefinition_k2_filter_2]) ).
fof(c_0_152,plain,
! [X183,X184] :
( ( ~ l3_lattices(X183)
| ~ v10_lattices(X183)
| v3_struct_0(X183)
| ~ m1_subset_1(X184,u1_struct_0(X183))
| k18_filter_2(k1_lattice2(X183),k5_filter_2(X183,X184)) = k2_filter_2(X183,X184) )
& ( ~ l3_lattices(X183)
| ~ v10_lattices(X183)
| v3_struct_0(X183)
| ~ m1_subset_1(X184,u1_struct_0(X183))
| k18_filter_2(X183,X184) = k2_filter_2(k1_lattice2(X183),k5_filter_2(X183,X184)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_135])])])])]) ).
cnf(c_0_153,plain,
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| k18_filter_2(X1,X2) = a_2_0_filter_2(X1,X2)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_136]) ).
cnf(c_0_154,plain,
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| k3_filter_2(X1,X2) = k3_filter_0(X1,X2)
| v1_xboole_0(X2)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_137]) ).
cnf(c_0_155,negated_conjecture,
v10_lattices(k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_41]),c_0_42])]),c_0_44]) ).
fof(c_0_156,plain,
! [X39] :
( ( ~ l3_lattices(X39)
| l3_lattices(k1_lattice2(X39)) )
& ( ~ l3_lattices(X39)
| v3_lattices(k1_lattice2(X39)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_lattice2])])])]) ).
cnf(c_0_157,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
| v3_struct_0(X1)
| v1_xboole_0(X3)
| v1_xboole_0(X2)
| k3_filter_2(k1_lattice2(X1),X2) = k19_filter_2(X1,k8_filter_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_139]) ).
cnf(c_0_158,negated_conjecture,
k8_filter_2(esk1_0,esk3_0) = esk3_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_41]),c_0_42])]),c_0_44]) ).
cnf(c_0_159,plain,
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m1_subset_1(k8_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_142]) ).
cnf(c_0_160,negated_conjecture,
k8_filter_2(esk1_0,esk20_1(u1_struct_0(esk1_0))) = esk20_1(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_140,c_0_143]),c_0_41]),c_0_42])]),c_0_44]) ).
cnf(c_0_161,plain,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v1_xboole_0(k7_filter_2(X1,esk20_1(u1_struct_0(X1))))
| v3_struct_0(X1)
| v1_xboole_0(u1_struct_0(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_95]),c_0_145]) ).
cnf(c_0_162,plain,
( X3 != k6_domain_1(u1_struct_0(X1),X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| k3_filter_0(X1,X3) = k2_filter_0(X1,X2)
| v1_xboole_0(X3)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_146]) ).
cnf(c_0_163,negated_conjecture,
k6_domain_1(u1_struct_0(k1_lattice2(esk1_0)),esk2_0) = k1_tarski(esk2_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_147]),c_0_148]) ).
cnf(c_0_164,negated_conjecture,
k1_tarski(esk2_0) = esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_40])]) ).
fof(c_0_165,plain,
! [X146,X147] :
( k2_filter_2(X146,X147) = k2_filter_0(X146,X147)
| ~ m1_subset_1(X147,u1_struct_0(X146))
| ~ l3_lattices(X146)
| ~ v10_lattices(X146)
| v3_struct_0(X146) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_151])])]) ).
cnf(c_0_166,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| v3_struct_0(X1)
| k18_filter_2(X1,X2) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_152]) ).
cnf(c_0_167,negated_conjecture,
k18_filter_2(esk1_0,esk2_0) = a_2_0_filter_2(esk1_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_153,c_0_94]),c_0_41]),c_0_42])]),c_0_44]) ).
cnf(c_0_168,negated_conjecture,
( ~ l3_lattices(k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| k3_filter_0(k1_lattice2(esk1_0),esk3_0) = k3_filter_2(k1_lattice2(esk1_0),esk3_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_141]),c_0_155])]),c_0_43]) ).
cnf(c_0_169,plain,
( ~ l3_lattices(X1)
| l3_lattices(k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_156]) ).
cnf(c_0_170,negated_conjecture,
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0)))
| v1_xboole_0(X1)
| k3_filter_2(k1_lattice2(esk1_0),esk3_0) = k19_filter_2(esk1_0,esk3_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_157,c_0_141]),c_0_158]),c_0_41]),c_0_42])]),c_0_43]),c_0_44]) ).
cnf(c_0_171,negated_conjecture,
m1_subset_1(esk20_1(u1_struct_0(esk1_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_159,c_0_160]),c_0_143]),c_0_41]),c_0_42])]),c_0_44]) ).
cnf(c_0_172,negated_conjecture,
~ v1_xboole_0(esk20_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(spm,[status(thm)],[c_0_161,c_0_125]),c_0_41]),c_0_42])]),c_0_109]),c_0_44]) ).
cnf(c_0_173,plain,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(k6_domain_1(u1_struct_0(X1),X2),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| v1_xboole_0(k6_domain_1(u1_struct_0(X1),X2))
| k3_filter_0(X1,k6_domain_1(u1_struct_0(X1),X2)) = k2_filter_0(X1,X2) ),
inference(er,[status(thm)],[c_0_162]) ).
cnf(c_0_174,negated_conjecture,
k6_domain_1(u1_struct_0(k1_lattice2(esk1_0)),esk2_0) = esk3_0,
inference(rw,[status(thm)],[c_0_163,c_0_164]) ).
cnf(c_0_175,plain,
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| k2_filter_2(X1,X2) = k2_filter_0(X1,X2)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_165]) ).
cnf(c_0_176,negated_conjecture,
k2_filter_2(k1_lattice2(esk1_0),esk2_0) = a_2_0_filter_2(esk1_0,esk2_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_166,c_0_94]),c_0_129]),c_0_167]),c_0_41]),c_0_42])]),c_0_44]) ).
cnf(c_0_177,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| k3_filter_0(k1_lattice2(esk1_0),esk3_0) = k3_filter_2(k1_lattice2(esk1_0),esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_41])]) ).
cnf(c_0_178,negated_conjecture,
k3_filter_2(k1_lattice2(esk1_0),esk3_0) = k19_filter_2(esk1_0,esk3_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_171]),c_0_172]) ).
cnf(c_0_179,negated_conjecture,
( ~ l3_lattices(k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| k3_filter_0(k1_lattice2(esk1_0),esk3_0) = k2_filter_0(k1_lattice2(esk1_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_173,c_0_174]),c_0_141]),c_0_147]),c_0_155])]),c_0_43]) ).
cnf(c_0_180,plain,
( ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ m1_subset_1(X1,k1_zfmisc_1(X3))
| X1 != X2
| v1_xboole_0(X3)
| r1_filter_2(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_181,negated_conjecture,
( ~ l3_lattices(k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| k2_filter_0(k1_lattice2(esk1_0),esk2_0) = a_2_0_filter_2(esk1_0,esk2_0) ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_147]),c_0_155])]),c_0_176]) ).
cnf(c_0_182,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| k3_filter_0(k1_lattice2(esk1_0),esk3_0) = k19_filter_2(esk1_0,esk3_0) ),
inference(rw,[status(thm)],[c_0_177,c_0_178]) ).
cnf(c_0_183,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| k3_filter_0(k1_lattice2(esk1_0),esk3_0) = k2_filter_0(k1_lattice2(esk1_0),esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_169]),c_0_41])]) ).
cnf(c_0_184,plain,
( ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| v1_xboole_0(X1)
| r1_filter_2(X1,X2,X2) ),
inference(er,[status(thm)],[c_0_180]) ).
fof(c_0_185,plain,
! [X1] :
( ( l3_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v3_lattices(k1_lattice2(X1))
& ~ v3_struct_0(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc1_lattice2]) ).
cnf(c_0_186,negated_conjecture,
~ r1_filter_2(u1_struct_0(esk1_0),k19_filter_2(esk1_0,esk3_0),k18_filter_2(esk1_0,esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_187,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| k2_filter_0(k1_lattice2(esk1_0),esk2_0) = a_2_0_filter_2(esk1_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_169]),c_0_41])]) ).
cnf(c_0_188,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| k2_filter_0(k1_lattice2(esk1_0),esk2_0) = k19_filter_2(esk1_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_182,c_0_183]) ).
cnf(c_0_189,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk1_0))
| r1_filter_2(u1_struct_0(esk1_0),k19_filter_2(esk1_0,esk3_0),k19_filter_2(esk1_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_184,c_0_51]) ).
fof(c_0_190,plain,
! [X94] :
( ( ~ l3_lattices(X94)
| v3_struct_0(X94)
| v3_lattices(k1_lattice2(X94)) )
& ( ~ l3_lattices(X94)
| v3_struct_0(X94)
| ~ v3_struct_0(k1_lattice2(X94)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_185])])])]) ).
cnf(c_0_191,negated_conjecture,
~ r1_filter_2(u1_struct_0(esk1_0),k19_filter_2(esk1_0,esk3_0),a_2_0_filter_2(esk1_0,esk2_0)),
inference(rw,[status(thm)],[c_0_186,c_0_167]) ).
cnf(c_0_192,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| a_2_0_filter_2(esk1_0,esk2_0) = k19_filter_2(esk1_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_187,c_0_188]) ).
cnf(c_0_193,negated_conjecture,
r1_filter_2(u1_struct_0(esk1_0),k19_filter_2(esk1_0,esk3_0),k19_filter_2(esk1_0,esk3_0)),
inference(sr,[status(thm)],[c_0_189,c_0_109]) ).
cnf(c_0_194,plain,
( ~ l3_lattices(X1)
| ~ v3_struct_0(k1_lattice2(X1))
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_190]) ).
cnf(c_0_195,negated_conjecture,
v3_struct_0(k1_lattice2(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_192]),c_0_193])]) ).
cnf(c_0_196,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_195]),c_0_41])]),c_0_44]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT312+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n015.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 23:36:37 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 71.23/11.82 % Version: 3.5.1
% 71.23/11.82 % Preprocessing class: FSLSSMSSSSSNFFN.
% 71.23/11.82 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 71.23/11.82 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 71.23/11.82 % Starting new_bool_3 with 300s (1) cores
% 71.23/11.82 % Starting new_bool_1 with 300s (1) cores
% 71.23/11.82 % Starting sh5l with 300s (1) cores
% 71.23/11.82 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 7195 completed with status 0
% 71.23/11.82 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 71.23/11.82 % Preprocessing class: FSLSSMSSSSSNFFN.
% 71.23/11.82 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 71.23/11.82 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 71.23/11.82 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 71.23/11.82 % No SInE strategy applied
% 71.23/11.82 % Search class: FGHSM-FSLM31-MFFFFFNN
% 71.23/11.82 % Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 71.23/11.82 % Starting SubtermCWHack with 136s (1) cores
% 71.23/11.82 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 71.23/11.82 % Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 136s (1) cores
% 71.23/11.82 % Starting G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y with 136s (1) cores
% 71.23/11.82 % Starting U----_116Y_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 71.23/11.82 % G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with pid 7206 completed with status 0
% 71.23/11.82 % Result found by G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN
% 71.23/11.82 % Preprocessing class: FSLSSMSSSSSNFFN.
% 71.23/11.82 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 71.23/11.82 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 71.23/11.82 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 71.23/11.82 % No SInE strategy applied
% 71.23/11.82 % Search class: FGHSM-FSLM31-MFFFFFNN
% 71.23/11.82 % Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 71.23/11.82 % Starting SubtermCWHack with 136s (1) cores
% 71.23/11.82 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 71.23/11.82 % Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 136s (1) cores
% 71.23/11.82 % Preprocessing time : 0.004 s
% 71.23/11.82 % Presaturation interreduction done
% 71.23/11.82
% 71.23/11.82 % Proof found!
% 71.23/11.82 % SZS status Theorem
% 71.23/11.82 % SZS output start CNFRefutation
% See solution above
% 71.23/11.82 % Parsed axioms : 112
% 71.23/11.82 % Removed by relevancy pruning/SinE : 0
% 71.23/11.82 % Initial clauses : 208
% 71.23/11.82 % Removed in clause preprocessing : 12
% 71.23/11.82 % Initial clauses in saturation : 196
% 71.23/11.82 % Processed clauses : 20256
% 71.23/11.82 % ...of these trivial : 1146
% 71.23/11.82 % ...subsumed : 9191
% 71.23/11.82 % ...remaining for further processing : 9919
% 71.23/11.82 % Other redundant clauses eliminated : 4
% 71.23/11.82 % Clauses deleted for lack of memory : 0
% 71.23/11.82 % Backward-subsumed : 251
% 71.23/11.82 % Backward-rewritten : 1120
% 71.23/11.82 % Generated clauses : 194348
% 71.23/11.82 % ...of the previous two non-redundant : 190472
% 71.23/11.82 % ...aggressively subsumed : 0
% 71.23/11.82 % Contextual simplify-reflections : 103
% 71.23/11.82 % Paramodulations : 194287
% 71.23/11.82 % Factorizations : 4
% 71.23/11.82 % NegExts : 0
% 71.23/11.82 % Equation resolutions : 4
% 71.23/11.82 % Disequality decompositions : 0
% 71.23/11.82 % Total rewrite steps : 71977
% 71.23/11.82 % ...of those cached : 70182
% 71.23/11.82 % Propositional unsat checks : 1
% 71.23/11.82 % Propositional check models : 0
% 71.23/11.82 % Propositional check unsatisfiable : 0
% 71.23/11.82 % Propositional clauses : 0
% 71.23/11.82 % Propositional clauses after purity: 0
% 71.23/11.82 % Propositional unsat core size : 0
% 71.23/11.82 % Propositional preprocessing time : 0.000
% 71.23/11.82 % Propositional encoding time : 0.107
% 71.23/11.82 % Propositional solver time : 0.252
% 71.23/11.82 % Success case prop preproc time : 0.000
% 71.23/11.82 % Success case prop encoding time : 0.000
% 71.23/11.82 % Success case prop solver time : 0.000
% 71.23/11.82 % Current number of processed clauses : 8309
% 71.23/11.82 % Positive orientable unit clauses : 2957
% 71.23/11.82 % Positive unorientable unit clauses: 0
% 71.23/11.82 % Negative unit clauses : 1162
% 71.23/11.82 % Non-unit-clauses : 4190
% 71.23/11.82 % Current number of unprocessed clauses: 164234
% 71.23/11.82 % ...number of literals in the above : 529378
% 71.23/11.82 % Current number of archived formulas : 0
% 71.23/11.82 % Current number of archived clauses : 1606
% 71.23/11.82 % Clause-clause subsumption calls (NU) : 1791078
% 71.23/11.82 % Rec. Clause-clause subsumption calls : 1311634
% 71.23/11.82 % Non-unit clause-clause subsumptions : 4236
% 71.23/11.82 % Unit Clause-clause subsumption calls : 391728
% 71.23/11.82 % Rewrite failures with RHS unbound : 0
% 71.23/11.82 % BW rewrite match attempts : 59963
% 71.23/11.82 % BW rewrite match successes : 302
% 71.23/11.82 % Condensation attempts : 0
% 71.23/11.82 % Condensation successes : 0
% 71.23/11.82 % Termbank termtop insertions : 4938354
% 71.23/11.82 % Search garbage collected termcells : 2477
% 71.23/11.82
% 71.23/11.82 % -------------------------------------------------
% 71.23/11.82 % User time : 10.193 s
% 71.23/11.82 % System time : 0.287 s
% 71.23/11.82 % Total time : 10.481 s
% 71.23/11.82 % Maximum resident set size: 4264 pages
% 71.23/11.82
% 71.23/11.82 % -------------------------------------------------
% 71.23/11.82 % User time : 49.353 s
% 71.23/11.82 % System time : 1.239 s
% 71.23/11.82 % Total time : 50.592 s
% 71.23/11.82 % Maximum resident set size: 4864 pages
% 71.23/11.82 % E exiting
%------------------------------------------------------------------------------