TSTP Solution File: LAT312+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : LAT312+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n029.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 04:46:54 EDT 2022
% Result : Theorem 0.68s 82.84s
% Output : CNFRefutation 0.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 39
% Syntax : Number of formulae : 197 ( 43 unt; 0 def)
% Number of atoms : 800 ( 89 equ)
% Maximal formula atoms : 36 ( 4 avg)
% Number of connectives : 981 ( 378 ~; 424 |; 121 &)
% ( 5 <=>; 53 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 3 prp; 0-3 aty)
% Number of functors : 24 ( 24 usr; 4 con; 0-2 aty)
% Number of variables : 274 ( 18 sgn 150 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t41_filter_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( ( ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
=> ( 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/sandbox/solver/bin/../tmp/theBenchmark.p',t41_filter_2) ).
fof(d6_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> k7_filter_2(X1,X2) = X2 ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',d6_filter_2) ).
fof(dt_k7_filter_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> m1_subset_1(k7_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',dt_k7_filter_2) ).
fof(d7_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
=> k8_filter_2(X1,X2) = X2 ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',d7_filter_2) ).
fof(t37_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ! [X3] :
( ( ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) )
=> ( k3_filter_2(k1_lattice2(X1),k7_filter_2(X1,X2)) = k19_filter_2(X1,X2)
& k3_filter_2(X1,X2) = k19_filter_2(k1_lattice2(X1),k7_filter_2(X1,X2))
& k3_filter_2(X1,k8_filter_2(X1,X3)) = k19_filter_2(k1_lattice2(X1),X3)
& k3_filter_2(k1_lattice2(X1),X3) = k19_filter_2(X1,k8_filter_2(X1,X3)) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t37_filter_2) ).
fof(dt_m1_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',dt_m1_filter_0) ).
fof(fc6_lattice2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fc6_lattice2) ).
fof(dt_k1_lattice2,axiom,
! [X1] :
( l3_lattices(X1)
=> ( v3_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',dt_k1_lattice2) ).
fof(fc1_lattice2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fc1_lattice2) ).
fof(redefinition_k3_filter_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> k3_filter_2(X1,X2) = k3_filter_0(X1,X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',redefinition_k3_filter_2) ).
fof(dt_k3_filter_0,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> m1_filter_0(k3_filter_0(X1,X2),X1) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',dt_k3_filter_0) ).
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/sandbox/solver/bin/../tmp/theBenchmark.p',dt_m2_lattice4) ).
fof(dt_k8_filter_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) )
=> m1_subset_1(k8_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',dt_k8_filter_2) ).
fof(t8_boole,axiom,
! [X1,X2] :
~ ( v1_xboole_0(X1)
& X1 != X2
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t8_boole) ).
fof(rc2_subset_1,axiom,
! [X1] :
? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',rc2_subset_1) ).
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/sandbox/solver/bin/../tmp/theBenchmark.p',t5_subset) ).
fof(rc1_xboole_0,axiom,
? [X1] : v1_xboole_0(X1),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',rc1_xboole_0) ).
fof(dt_m2_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',dt_m2_filter_2) ).
fof(dt_k19_filter_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> m2_filter_2(k19_filter_2(X1,X2),X1) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',dt_k19_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/sandbox/solver/bin/../tmp/theBenchmark.p',t4_subset) ).
fof(rc1_subset_1,axiom,
! [X1] :
( ~ v1_xboole_0(X1)
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& ~ v1_xboole_0(X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',rc1_subset_1) ).
fof(redefinition_r1_filter_2,axiom,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X2,k1_zfmisc_1(X1))
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
=> ( r1_filter_2(X1,X2,X3)
<=> X2 = X3 ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',redefinition_r1_filter_2) ).
fof(t2_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,X2)
=> ( v1_xboole_0(X2)
| r2_hidden(X1,X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t2_subset) ).
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/sandbox/solver/bin/../tmp/theBenchmark.p',dt_k6_domain_1) ).
fof(existence_m1_subset_1,axiom,
! [X1] :
? [X2] : m1_subset_1(X2,X1),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',existence_m1_subset_1) ).
fof(d4_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> k5_filter_2(X1,X2) = X2 ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',d4_filter_2) ).
fof(d9_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(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/sandbox/solver/bin/../tmp/theBenchmark.p',d9_filter_2) ).
fof(d3_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> k2_filter_0(X1,X2) = a_2_0_filter_0(X1,X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',d3_filter_0) ).
fof(dt_k5_filter_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> m1_subset_1(k5_filter_2(X1,X2),u1_struct_0(k1_lattice2(X1))) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',dt_k5_filter_2) ).
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/sandbox/solver/bin/../tmp/theBenchmark.p',redefinition_k6_domain_1) ).
fof(dt_k3_filter_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> m1_filter_2(k3_filter_2(X1,X2),X1) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',dt_k3_filter_2) ).
fof(t30_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( ( ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
=> ( X3 = k6_domain_1(u1_struct_0(X1),X2)
=> k3_filter_0(X1,X3) = k2_filter_0(X1,X2) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t30_filter_0) ).
fof(redefinition_k2_filter_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> k2_filter_2(X1,X2) = k2_filter_0(X1,X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',redefinition_k2_filter_2) ).
fof(t30_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ( k18_filter_2(X1,X2) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,X2))
& k18_filter_2(k1_lattice2(X1),k5_filter_2(X1,X2)) = k2_filter_2(X1,X2) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t30_filter_2) ).
fof(redefinition_m1_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_2(X2,X1)
<=> m1_filter_0(X2,X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',redefinition_m1_filter_2) ).
fof(t2_tarski,axiom,
! [X1,X2] :
( ! [X3] :
( r2_hidden(X3,X1)
<=> r2_hidden(X3,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t2_tarski) ).
fof(reflexivity_r1_filter_2,axiom,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X2,k1_zfmisc_1(X1))
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
=> r1_filter_2(X1,X2,X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',reflexivity_r1_filter_2) ).
fof(c_0_37,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( ( ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
=> ( 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_38,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| k7_filter_2(X3,X4) = X4 ),
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)],[d6_filter_2])])])])])]) ).
fof(c_0_39,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))
& ~ v1_xboole_0(esk3_0)
& m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
& r1_filter_2(u1_struct_0(esk1_0),esk3_0,k6_domain_1(u1_struct_0(esk1_0),esk2_0))
& ~ r1_filter_2(u1_struct_0(esk1_0),k19_filter_2(esk1_0,esk3_0),k18_filter_2(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_37])])])])])]) ).
fof(c_0_40,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| m1_subset_1(k7_filter_2(X3,X4),k1_zfmisc_1(u1_struct_0(k1_lattice2(X3)))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k7_filter_2])])]) ).
cnf(c_0_41,plain,
( k7_filter_2(X1,X2) = X2
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_42,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_43,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_44,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_45,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
fof(c_0_46,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k1_lattice2(X3))))
| k8_filter_2(X3,X4) = X4 ),
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)],[d7_filter_2])])])])])]) ).
cnf(c_0_47,plain,
( m1_subset_1(k7_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_48,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_41,c_0_42]),c_0_43]),c_0_44])]),c_0_45]) ).
fof(c_0_49,plain,
! [X4,X5,X6] :
( ( k3_filter_2(k1_lattice2(X4),k7_filter_2(X4,X5)) = k19_filter_2(X4,X5)
| v1_xboole_0(X6)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(k1_lattice2(X4))))
| v1_xboole_0(X5)
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X4)))
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4) )
& ( k3_filter_2(X4,X5) = k19_filter_2(k1_lattice2(X4),k7_filter_2(X4,X5))
| v1_xboole_0(X6)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(k1_lattice2(X4))))
| v1_xboole_0(X5)
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X4)))
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4) )
& ( k3_filter_2(X4,k8_filter_2(X4,X6)) = k19_filter_2(k1_lattice2(X4),X6)
| v1_xboole_0(X6)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(k1_lattice2(X4))))
| v1_xboole_0(X5)
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X4)))
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4) )
& ( k3_filter_2(k1_lattice2(X4),X6) = k19_filter_2(X4,k8_filter_2(X4,X6))
| v1_xboole_0(X6)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(k1_lattice2(X4))))
| v1_xboole_0(X5)
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X4)))
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t37_filter_2])])])])])])]) ).
cnf(c_0_50,plain,
( k8_filter_2(X1,X2) = X2
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_51,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_47,c_0_48]),c_0_42]),c_0_43]),c_0_44])]),c_0_45]) ).
fof(c_0_52,plain,
! [X3,X4] :
( ( ~ v1_xboole_0(X4)
| ~ m1_filter_0(X4,X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) )
& ( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| ~ m1_filter_0(X4,X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_m1_filter_0])])])])])])]) ).
fof(c_0_53,plain,
! [X2] :
( ( ~ v3_struct_0(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v3_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v4_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v5_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v6_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v7_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v8_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v9_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v10_lattices(k1_lattice2(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)],[fc6_lattice2])])])]) ).
fof(c_0_54,plain,
! [X2] :
( ( v3_lattices(k1_lattice2(X2))
| ~ l3_lattices(X2) )
& ( l3_lattices(k1_lattice2(X2))
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_lattice2])])]) ).
fof(c_0_55,plain,
! [X2] :
( ( ~ v3_struct_0(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ l3_lattices(X2) )
& ( v3_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fc1_lattice2])])])]) ).
fof(c_0_56,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| v1_xboole_0(X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| k3_filter_2(X3,X4) = k3_filter_0(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[redefinition_k3_filter_2])])]) ).
cnf(c_0_57,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| v1_xboole_0(X3)
| k3_filter_2(k1_lattice2(X1),X3) = k19_filter_2(X1,k8_filter_2(X1,X3))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_58,negated_conjecture,
~ v1_xboole_0(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_59,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_50,c_0_51]),c_0_43]),c_0_44])]),c_0_45]) ).
cnf(c_0_60,plain,
( v3_struct_0(X1)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_61,plain,
( v3_struct_0(X1)
| v10_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_62,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_63,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v3_struct_0(k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
fof(c_0_64,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| v1_xboole_0(X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| m1_filter_0(k3_filter_0(X3,X4),X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k3_filter_0])])]) ).
cnf(c_0_65,plain,
( k3_filter_2(X1,X2) = k3_filter_0(X1,X2)
| v1_xboole_0(X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_66,negated_conjecture,
( k3_filter_2(k1_lattice2(esk1_0),esk3_0) = k19_filter_2(esk1_0,esk3_0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(rw,[status(thm)],[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_57,c_0_51]),c_0_43]),c_0_44])]),c_0_58]),c_0_45]),c_0_59]) ).
cnf(c_0_67,plain,
( k8_filter_2(X1,X2) = X2
| v3_struct_0(X1)
| ~ m1_filter_0(X2,k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_60]),c_0_61]),c_0_62]),c_0_63]) ).
cnf(c_0_68,plain,
( m1_filter_0(k3_filter_0(X1,X2),X1)
| v1_xboole_0(X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_69,plain,
( k3_filter_0(k1_lattice2(X1),k7_filter_2(X1,X2)) = k3_filter_2(k1_lattice2(X1),k7_filter_2(X1,X2))
| v1_xboole_0(k7_filter_2(X1,X2))
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_47]),c_0_61]),c_0_62]),c_0_63]) ).
cnf(c_0_70,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_66,c_0_42]),c_0_58]) ).
fof(c_0_71,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_72,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k1_lattice2(X3))))
| m1_subset_1(k8_filter_2(X3,X4),k1_zfmisc_1(u1_struct_0(X3))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k8_filter_2])])]) ).
cnf(c_0_73,plain,
( k8_filter_2(X1,k3_filter_0(k1_lattice2(X1),X2)) = k3_filter_0(k1_lattice2(X1),X2)
| v1_xboole_0(X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_61]),c_0_62]),c_0_63]) ).
cnf(c_0_74,negated_conjecture,
k3_filter_0(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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_48]),c_0_70]),c_0_42]),c_0_43]),c_0_44])]),c_0_58]),c_0_45]) ).
cnf(c_0_75,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_71]) ).
cnf(c_0_76,plain,
( m1_subset_1(k8_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_77,negated_conjecture,
k8_filter_2(esk1_0,k19_filter_2(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_73,c_0_74]),c_0_51]),c_0_43]),c_0_44])]),c_0_58]),c_0_45]) ).
cnf(c_0_78,plain,
( k7_filter_2(X1,X2) = X2
| v3_struct_0(X1)
| ~ m2_lattice4(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_75]) ).
cnf(c_0_79,negated_conjecture,
( m1_subset_1(k19_filter_2(esk1_0,esk3_0),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ m1_subset_1(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(spm,[status(thm)],[c_0_76,c_0_77]),c_0_43]),c_0_44])]),c_0_45]) ).
cnf(c_0_80,plain,
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(X2))))
| v3_struct_0(X2)
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_78]),c_0_75]) ).
cnf(c_0_81,negated_conjecture,
( m1_subset_1(k19_filter_2(esk1_0,esk3_0),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ 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_79,c_0_80]),c_0_43]),c_0_44])]),c_0_45]) ).
fof(c_0_82,plain,
! [X3,X4] :
( ~ v1_xboole_0(X3)
| X3 = X4
| ~ v1_xboole_0(X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_boole])]) ).
fof(c_0_83,plain,
! [X3] :
( m1_subset_1(esk24_1(X3),k1_zfmisc_1(X3))
& v1_xboole_0(esk24_1(X3)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_subset_1])]) ).
fof(c_0_84,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_85,negated_conjecture,
( k7_filter_2(esk1_0,k19_filter_2(esk1_0,esk3_0)) = k19_filter_2(esk1_0,esk3_0)
| ~ 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_41,c_0_81]),c_0_43]),c_0_44])]),c_0_45]) ).
cnf(c_0_86,plain,
( X2 = X1
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_87,plain,
v1_xboole_0(esk24_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
fof(c_0_88,plain,
v1_xboole_0(esk21_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_xboole_0])]) ).
cnf(c_0_89,plain,
( ~ v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ r2_hidden(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_90,negated_conjecture,
( m1_subset_1(k19_filter_2(esk1_0,esk3_0),k1_zfmisc_1(u1_struct_0(k1_lattice2(esk1_0))))
| ~ m2_lattice4(k19_filter_2(esk1_0,esk3_0),esk1_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_85]),c_0_43]),c_0_44])]),c_0_45]),c_0_81]) ).
fof(c_0_91,plain,
! [X3,X4] :
( ( ~ v1_xboole_0(X4)
| ~ m2_filter_2(X4,X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) )
& ( m2_lattice4(X4,X3)
| ~ m2_filter_2(X4,X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_m2_filter_2])])])])])])]) ).
fof(c_0_92,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| v1_xboole_0(X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| m2_filter_2(k19_filter_2(X3,X4),X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k19_filter_2])])]) ).
fof(c_0_93,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])]) ).
fof(c_0_94,plain,
! [X3] :
( ( m1_subset_1(esk20_1(X3),k1_zfmisc_1(X3))
| v1_xboole_0(X3) )
& ( ~ v1_xboole_0(esk20_1(X3))
| v1_xboole_0(X3) ) ),
inference(distribute,[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)],[rc1_subset_1])])])])])])]) ).
fof(c_0_95,plain,
! [X4,X5,X6] :
( ( ~ r1_filter_2(X4,X5,X6)
| X5 = X6
| v1_xboole_0(X4)
| ~ m1_subset_1(X5,k1_zfmisc_1(X4))
| ~ m1_subset_1(X6,k1_zfmisc_1(X4)) )
& ( X5 != X6
| r1_filter_2(X4,X5,X6)
| v1_xboole_0(X4)
| ~ m1_subset_1(X5,k1_zfmisc_1(X4))
| ~ m1_subset_1(X6,k1_zfmisc_1(X4)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[redefinition_r1_filter_2])])])]) ).
cnf(c_0_96,plain,
( X1 = esk24_1(X2)
| ~ v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_97,plain,
v1_xboole_0(esk21_0),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_98,negated_conjecture,
( ~ m2_lattice4(k19_filter_2(esk1_0,esk3_0),esk1_0)
| ~ r2_hidden(X1,k19_filter_2(esk1_0,esk3_0))
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(esk1_0))) ),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_99,plain,
( v3_struct_0(X1)
| m2_lattice4(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_100,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_101,plain,
( m2_filter_2(k19_filter_2(X1,X2),X1)
| v1_xboole_0(X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_102,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_93]) ).
cnf(c_0_103,plain,
( v1_xboole_0(X1)
| m1_subset_1(esk20_1(X1),k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
fof(c_0_104,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_105,plain,
( v1_xboole_0(X2)
| X3 = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| ~ r1_filter_2(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_106,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_39]) ).
fof(c_0_107,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])])]) ).
cnf(c_0_108,plain,
m1_subset_1(esk24_1(X1),k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_109,plain,
esk24_1(X1) = esk21_0,
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
fof(c_0_110,plain,
( ~ epred2_0
<=> ! [X2] : ~ v1_xboole_0(X2) ),
introduced(definition) ).
cnf(c_0_111,negated_conjecture,
( ~ m2_filter_2(k19_filter_2(esk1_0,esk3_0),esk1_0)
| ~ r2_hidden(X1,k19_filter_2(esk1_0,esk3_0))
| ~ v1_xboole_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(spm,[status(thm)],[c_0_98,c_0_99]),c_0_43]),c_0_44])]),c_0_45]) ).
cnf(c_0_112,plain,
( v1_xboole_0(X1)
| v3_struct_0(X2)
| ~ v1_xboole_0(k19_filter_2(X2,X1))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_113,plain,
( v1_xboole_0(X1)
| m1_subset_1(X2,X1)
| ~ r2_hidden(X2,esk20_1(X1)) ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_114,plain,
( r2_hidden(X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_115,plain,
( v1_xboole_0(X1)
| ~ v1_xboole_0(esk20_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
fof(c_0_116,plain,
! [X3] : m1_subset_1(esk11_1(X3),X3),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).
fof(c_0_117,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_subset_1(X4,u1_struct_0(X3))
| k5_filter_2(X3,X4) = X4 ),
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)],[d4_filter_2])])])])])]) ).
fof(c_0_118,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_subset_1(X4,u1_struct_0(X3))
| k18_filter_2(X3,X4) = a_2_0_filter_2(X3,X4) ),
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)],[d9_filter_2])])])])])]) ).
fof(c_0_119,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_subset_1(X4,u1_struct_0(X3))
| k2_filter_0(X3,X4) = a_2_0_filter_0(X3,X4) ),
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)],[d3_filter_0])])])])])]) ).
fof(c_0_120,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_subset_1(X4,u1_struct_0(X3))
| m1_subset_1(k5_filter_2(X3,X4),u1_struct_0(k1_lattice2(X3))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k5_filter_2])])]) ).
fof(c_0_121,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_122,negated_conjecture,
( k6_domain_1(u1_struct_0(esk1_0),esk2_0) = esk3_0
| v1_xboole_0(u1_struct_0(esk1_0))
| ~ m1_subset_1(k6_domain_1(u1_struct_0(esk1_0),esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_42])]) ).
cnf(c_0_123,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_107]) ).
cnf(c_0_124,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
fof(c_0_125,plain,
( ~ epred1_0
<=> ! [X1] : ~ r2_hidden(X1,esk21_0) ),
introduced(definition) ).
cnf(c_0_126,plain,
m1_subset_1(esk21_0,k1_zfmisc_1(X1)),
inference(rw,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_127,plain,
( epred2_0
| ~ v1_xboole_0(X1) ),
inference(split_equiv,[status(thm)],[c_0_110]) ).
fof(c_0_128,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| v1_xboole_0(X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| m1_filter_2(k3_filter_2(X3,X4),X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k3_filter_2])])]) ).
fof(c_0_129,plain,
! [X4,X5,X6] :
( v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4)
| ~ m1_subset_1(X5,u1_struct_0(X4))
| v1_xboole_0(X6)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X4)))
| X6 != k6_domain_1(u1_struct_0(X4),X5)
| k3_filter_0(X4,X6) = k2_filter_0(X4,X5) ),
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)],[t30_filter_0])])])])])]) ).
cnf(c_0_130,negated_conjecture,
( ~ r2_hidden(X1,k19_filter_2(esk1_0,esk3_0))
| ~ v1_xboole_0(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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_101]),c_0_42]),c_0_43]),c_0_44])]),c_0_58]),c_0_45]) ).
cnf(c_0_131,negated_conjecture,
~ v1_xboole_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(spm,[status(thm)],[c_0_112,c_0_42]),c_0_43]),c_0_44])]),c_0_58]),c_0_45]) ).
cnf(c_0_132,plain,
( v1_xboole_0(X1)
| m1_subset_1(X2,X1)
| ~ m1_subset_1(X2,esk20_1(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_115]) ).
cnf(c_0_133,plain,
m1_subset_1(esk11_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
fof(c_0_134,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_subset_1(X4,u1_struct_0(X3))
| k2_filter_2(X3,X4) = k2_filter_0(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[redefinition_k2_filter_2])])]) ).
fof(c_0_135,plain,
! [X3,X4] :
( ( k18_filter_2(X3,X4) = k2_filter_2(k1_lattice2(X3),k5_filter_2(X3,X4))
| ~ m1_subset_1(X4,u1_struct_0(X3))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) )
& ( k18_filter_2(k1_lattice2(X3),k5_filter_2(X3,X4)) = k2_filter_2(X3,X4)
| ~ m1_subset_1(X4,u1_struct_0(X3))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t30_filter_2])])])])])])]) ).
cnf(c_0_136,plain,
( k5_filter_2(X1,X2) = X2
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_137,plain,
( k18_filter_2(X1,X2) = a_2_0_filter_2(X1,X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_138,plain,
( k2_filter_0(X1,X2) = a_2_0_filter_0(X1,X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_139,plain,
( m1_subset_1(k5_filter_2(X1,X2),u1_struct_0(k1_lattice2(X1)))
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
cnf(c_0_140,negated_conjecture,
( ~ r2_hidden(X1,esk3_0)
| ~ v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_89,c_0_42]) ).
cnf(c_0_141,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_121]) ).
cnf(c_0_142,negated_conjecture,
( k6_domain_1(u1_struct_0(esk1_0),esk2_0) = esk3_0
| v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_124])]) ).
cnf(c_0_143,plain,
( ~ epred2_0
| ~ epred1_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_126]),c_0_125]),c_0_110]) ).
cnf(c_0_144,plain,
epred2_0,
inference(spm,[status(thm)],[c_0_127,c_0_97]) ).
fof(c_0_145,plain,
! [X3,X4,X4] :
( ( ~ m1_filter_2(X4,X3)
| m1_filter_0(X4,X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) )
& ( ~ m1_filter_0(X4,X3)
| m1_filter_2(X4,X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[redefinition_m1_filter_2])])])])])])]) ).
cnf(c_0_146,plain,
( m1_filter_2(k3_filter_2(X1,X2),X1)
| v1_xboole_0(X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_128]) ).
cnf(c_0_147,plain,
( k3_filter_0(X1,X2) = k2_filter_0(X1,X3)
| v1_xboole_0(X2)
| v3_struct_0(X1)
| X2 != k6_domain_1(u1_struct_0(X1),X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_129]) ).
cnf(c_0_148,negated_conjecture,
( ~ v1_xboole_0(u1_struct_0(k1_lattice2(esk1_0)))
| ~ m1_subset_1(X1,k19_filter_2(esk1_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_114]),c_0_131]) ).
cnf(c_0_149,plain,
( v1_xboole_0(X1)
| m1_subset_1(esk11_1(esk20_1(X1)),X1) ),
inference(spm,[status(thm)],[c_0_132,c_0_133]) ).
cnf(c_0_150,plain,
( k2_filter_2(X1,X2) = k2_filter_0(X1,X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_134]) ).
cnf(c_0_151,plain,
( v3_struct_0(X1)
| k18_filter_2(X1,X2) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,X2))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_135]) ).
cnf(c_0_152,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_136,c_0_124]),c_0_43]),c_0_44])]),c_0_45]) ).
cnf(c_0_153,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_137,c_0_124]),c_0_43]),c_0_44])]),c_0_45]) ).
cnf(c_0_154,plain,
( k2_filter_0(k1_lattice2(X1),k5_filter_2(X1,X2)) = a_2_0_filter_0(k1_lattice2(X1),k5_filter_2(X1,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(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_61]),c_0_62]),c_0_63]) ).
cnf(c_0_155,negated_conjecture,
( ~ v1_xboole_0(u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,esk3_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_114]),c_0_58]) ).
cnf(c_0_156,negated_conjecture,
( k1_tarski(esk2_0) = esk3_0
| v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_124])]) ).
cnf(c_0_157,negated_conjecture,
k3_filter_0(esk1_0,esk3_0) = k3_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(spm,[status(thm)],[c_0_65,c_0_42]),c_0_43]),c_0_44])]),c_0_58]),c_0_45]) ).
cnf(c_0_158,plain,
~ epred1_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_143,c_0_144])]) ).
fof(c_0_159,plain,
! [X4,X5] :
( ( ~ r2_hidden(esk32_2(X4,X5),X4)
| ~ r2_hidden(esk32_2(X4,X5),X5)
| X4 = X5 )
& ( r2_hidden(esk32_2(X4,X5),X4)
| r2_hidden(esk32_2(X4,X5),X5)
| X4 = X5 ) ),
inference(distribute,[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)],[t2_tarski])])])])])]) ).
cnf(c_0_160,plain,
( v3_struct_0(X1)
| m1_filter_0(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_145]) ).
cnf(c_0_161,negated_conjecture,
( m1_filter_2(k19_filter_2(esk1_0,esk3_0),k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_70]),c_0_51])]),c_0_58]) ).
cnf(c_0_162,negated_conjecture,
( k2_filter_0(k1_lattice2(esk1_0),X1) = k19_filter_2(esk1_0,esk3_0)
| v3_struct_0(k1_lattice2(esk1_0))
| k6_domain_1(u1_struct_0(k1_lattice2(esk1_0)),X1) != esk3_0
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(esk1_0)))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_51]),c_0_58]),c_0_74]) ).
cnf(c_0_163,negated_conjecture,
~ v1_xboole_0(u1_struct_0(k1_lattice2(esk1_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_131]) ).
cnf(c_0_164,plain,
( k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,X2)) = k2_filter_0(k1_lattice2(X1),k5_filter_2(X1,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(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_139]),c_0_61]),c_0_62]),c_0_63]) ).
cnf(c_0_165,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_151,c_0_152]),c_0_153]),c_0_124]),c_0_43]),c_0_44])]),c_0_45]) ).
cnf(c_0_166,negated_conjecture,
k2_filter_0(k1_lattice2(esk1_0),esk2_0) = a_2_0_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_154,c_0_152]),c_0_124]),c_0_43]),c_0_44])]),c_0_45]) ).
cnf(c_0_167,negated_conjecture,
( k1_tarski(esk2_0) = esk3_0
| ~ m1_subset_1(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_168,plain,
( v3_struct_0(X1)
| ~ m1_filter_0(X2,X1)
| ~ r2_hidden(X3,X2)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_89,c_0_60]) ).
cnf(c_0_169,negated_conjecture,
m1_filter_0(k3_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_157]),c_0_42]),c_0_43]),c_0_44])]),c_0_58]),c_0_45]) ).
cnf(c_0_170,plain,
~ r2_hidden(X1,esk21_0),
inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_125]),c_0_158]) ).
cnf(c_0_171,plain,
( X1 = X2
| r2_hidden(esk32_2(X1,X2),X2)
| r2_hidden(esk32_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_159]) ).
cnf(c_0_172,negated_conjecture,
( m1_filter_0(k19_filter_2(esk1_0,esk3_0),k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_160,c_0_161]) ).
cnf(c_0_173,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_39]) ).
cnf(c_0_174,negated_conjecture,
( k2_filter_0(k1_lattice2(esk1_0),X1) = k19_filter_2(esk1_0,esk3_0)
| v3_struct_0(k1_lattice2(esk1_0))
| k1_tarski(X1) != esk3_0
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(esk1_0)))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_141]),c_0_163]) ).
cnf(c_0_175,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_139,c_0_152]),c_0_124]),c_0_43]),c_0_44])]),c_0_45]) ).
cnf(c_0_176,negated_conjecture,
a_2_0_filter_0(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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_152]),c_0_165]),c_0_166]),c_0_124]),c_0_43]),c_0_44])]),c_0_45]) ).
cnf(c_0_177,negated_conjecture,
k1_tarski(esk2_0) = esk3_0,
inference(spm,[status(thm)],[c_0_167,c_0_133]) ).
fof(c_0_178,plain,
! [X4,X5,X6] :
( v1_xboole_0(X4)
| ~ m1_subset_1(X5,k1_zfmisc_1(X4))
| ~ m1_subset_1(X6,k1_zfmisc_1(X4))
| r1_filter_2(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_r1_filter_2])])])])]) ).
cnf(c_0_179,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_180,negated_conjecture,
( ~ r2_hidden(X1,k3_filter_2(esk1_0,esk3_0))
| ~ v1_xboole_0(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_168,c_0_169]),c_0_43]),c_0_44])]),c_0_45]) ).
cnf(c_0_181,plain,
( esk21_0 = X1
| r2_hidden(esk32_2(esk21_0,X1),X1) ),
inference(spm,[status(thm)],[c_0_170,c_0_171]) ).
cnf(c_0_182,negated_conjecture,
( k8_filter_2(esk1_0,k19_filter_2(esk1_0,esk3_0)) = k19_filter_2(esk1_0,esk3_0)
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_172]),c_0_43]),c_0_44])]),c_0_45]) ).
cnf(c_0_183,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_173,c_0_153]) ).
cnf(c_0_184,negated_conjecture,
( a_2_0_filter_2(esk1_0,esk2_0) = k19_filter_2(esk1_0,esk3_0)
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_175]),c_0_166]),c_0_176]),c_0_177])]) ).
cnf(c_0_185,plain,
( r1_filter_2(X1,X2,X2)
| v1_xboole_0(X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_178]) ).
cnf(c_0_186,negated_conjecture,
~ v1_xboole_0(k3_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_179,c_0_169]),c_0_43]),c_0_44])]),c_0_45]) ).
cnf(c_0_187,negated_conjecture,
( k3_filter_2(esk1_0,esk3_0) = esk21_0
| ~ v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_180,c_0_181]) ).
cnf(c_0_188,negated_conjecture,
( m1_subset_1(k19_filter_2(esk1_0,esk3_0),k1_zfmisc_1(u1_struct_0(esk1_0)))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ m1_subset_1(k19_filter_2(esk1_0,esk3_0),k1_zfmisc_1(u1_struct_0(k1_lattice2(esk1_0))))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_182]),c_0_43]),c_0_44])]),c_0_45]) ).
cnf(c_0_189,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| ~ r1_filter_2(u1_struct_0(esk1_0),k19_filter_2(esk1_0,esk3_0),k19_filter_2(esk1_0,esk3_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_183,c_0_184]) ).
cnf(c_0_190,plain,
( r1_filter_2(X1,X2,X2)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(spm,[status(thm)],[c_0_185,c_0_103]) ).
cnf(c_0_191,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_187]),c_0_97])]) ).
cnf(c_0_192,negated_conjecture,
( m1_subset_1(k19_filter_2(esk1_0,esk3_0),k1_zfmisc_1(u1_struct_0(esk1_0)))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_60]),c_0_172]) ).
cnf(c_0_193,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_190]),c_0_191]),c_0_192]) ).
cnf(c_0_194,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_61]),c_0_43]),c_0_44])]),c_0_45]) ).
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_194,c_0_62]),c_0_43])]) ).
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_63,c_0_195]),c_0_43])]),c_0_45]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : LAT312+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 29 10:31:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.35/23.41 eprover: CPU time limit exceeded, terminating
% 0.35/23.41 eprover: CPU time limit exceeded, terminating
% 0.35/23.41 eprover: CPU time limit exceeded, terminating
% 0.36/25.81 eprover: CPU time limit exceeded, terminating
% 0.47/46.43 eprover: CPU time limit exceeded, terminating
% 0.47/46.43 eprover: CPU time limit exceeded, terminating
% 0.47/46.43 eprover: CPU time limit exceeded, terminating
% 0.49/48.82 eprover: CPU time limit exceeded, terminating
% 0.60/69.44 eprover: CPU time limit exceeded, terminating
% 0.60/69.44 eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.60/69.44
% 0.62/71.84 eprover: CPU time limit exceeded, terminating
% 0.68/82.84 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.68/82.84
% 0.68/82.84 # Failure: Resource limit exceeded (time)
% 0.68/82.84 # OLD status Res
% 0.68/82.84 # Preprocessing time : 0.025 s
% 0.68/82.84 # Running protocol protocol_eprover_f6eb5f7f05126ea361481ae651a4823314e3d740 for 23 seconds:
% 0.68/82.84
% 0.68/82.84 # Failure: Resource limit exceeded (time)
% 0.68/82.84 # OLD status Res
% 0.68/82.84 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 0.68/82.84 # Preprocessing time : 0.021 s
% 0.68/82.84 # Running protocol protocol_eprover_a172c605141d0894bf6fdc293a5220c6c2a32117 for 23 seconds:
% 0.68/82.84
% 0.68/82.84 # Failure: Resource limit exceeded (time)
% 0.68/82.84 # OLD status Res
% 0.68/82.84 # Preprocessing time : 0.024 s
% 0.68/82.84 # Running protocol protocol_eprover_f8b0f932169414d689b89e2a8b18d4600533b975 for 23 seconds:
% 0.68/82.84 # Preprocessing time : 0.013 s
% 0.68/82.84
% 0.68/82.84 # Proof found!
% 0.68/82.84 # SZS status Theorem
% 0.68/82.84 # SZS output start CNFRefutation
% See solution above
% 0.68/82.85 # Proof object total steps : 197
% 0.68/82.85 # Proof object clause steps : 120
% 0.68/82.85 # Proof object formula steps : 77
% 0.68/82.85 # Proof object conjectures : 61
% 0.68/82.85 # Proof object clause conjectures : 58
% 0.68/82.85 # Proof object formula conjectures : 3
% 0.68/82.85 # Proof object initial clauses used : 49
% 0.68/82.85 # Proof object initial formulas used : 37
% 0.68/82.85 # Proof object generating inferences : 67
% 0.68/82.85 # Proof object simplifying inferences : 180
% 0.68/82.85 # Training examples: 0 positive, 0 negative
% 0.68/82.85 # Parsed axioms : 112
% 0.68/82.85 # Removed by relevancy pruning/SinE : 0
% 0.68/82.85 # Initial clauses : 208
% 0.68/82.85 # Removed in clause preprocessing : 12
% 0.68/82.85 # Initial clauses in saturation : 196
% 0.68/82.85 # Processed clauses : 41550
% 0.68/82.85 # ...of these trivial : 227
% 0.68/82.85 # ...subsumed : 32141
% 0.68/82.85 # ...remaining for further processing : 9182
% 0.68/82.85 # Other redundant clauses eliminated : 3
% 0.68/82.85 # Clauses deleted for lack of memory : 0
% 0.68/82.85 # Backward-subsumed : 1731
% 0.68/82.85 # Backward-rewritten : 205
% 0.68/82.85 # Generated clauses : 203605
% 0.68/82.85 # ...of the previous two non-trivial : 195537
% 0.68/82.85 # Contextual simplify-reflections : 42939
% 0.68/82.85 # Paramodulations : 203532
% 0.68/82.85 # Factorizations : 32
% 0.68/82.85 # Equation resolutions : 9
% 0.68/82.85 # Current number of processed clauses : 7225
% 0.68/82.85 # Positive orientable unit clauses : 531
% 0.68/82.85 # Positive unorientable unit clauses: 0
% 0.68/82.85 # Negative unit clauses : 155
% 0.68/82.85 # Non-unit-clauses : 6539
% 0.68/82.85 # Current number of unprocessed clauses: 134730
% 0.68/82.85 # ...number of literals in the above : 910484
% 0.68/82.85 # Current number of archived formulas : 0
% 0.68/82.85 # Current number of archived clauses : 1947
% 0.68/82.85 # Clause-clause subsumption calls (NU) : 28760461
% 0.68/82.85 # Rec. Clause-clause subsumption calls : 5935596
% 0.68/82.85 # Non-unit clause-clause subsumptions : 70060
% 0.68/82.85 # Unit Clause-clause subsumption calls : 89927
% 0.68/82.85 # Rewrite failures with RHS unbound : 0
% 0.68/82.85 # BW rewrite match attempts : 1805
% 0.68/82.85 # BW rewrite match successes : 114
% 0.68/82.85 # Condensation attempts : 0
% 0.68/82.85 # Condensation successes : 0
% 0.68/82.85 # Termbank termtop insertions : 6620407
% 0.68/82.85
% 0.68/82.85 # -------------------------------------------------
% 0.68/82.85 # User time : 12.957 s
% 0.68/82.85 # System time : 0.112 s
% 0.68/82.85 # Total time : 13.069 s
% 0.68/82.85 # Maximum resident set size: 138324 pages
% 0.68/92.46 eprover: CPU time limit exceeded, terminating
% 0.68/92.47 eprover: CPU time limit exceeded, terminating
% 0.68/92.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.68/92.47 eprover: No such file or directory
% 0.68/92.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.68/92.47 eprover: No such file or directory
% 0.68/92.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.68/92.48 eprover: No such file or directory
% 0.68/92.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.68/92.48 eprover: No such file or directory
% 0.68/92.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.68/92.48 eprover: No such file or directory
% 0.68/92.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.68/92.49 eprover: No such file or directory
% 0.68/92.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.68/92.49 eprover: No such file or directory
% 0.68/92.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.68/92.49 eprover: No such file or directory
% 0.68/92.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.68/92.50 eprover: No such file or directory
% 0.68/92.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.68/92.50 eprover: No such file or directory
% 0.68/92.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.68/92.50 eprover: No such file or directory
% 0.68/92.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.68/92.50 eprover: No such file or directory
% 0.68/92.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.68/92.51 eprover: No such file or directory
% 0.68/92.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.68/92.51 eprover: No such file or directory
% 0.68/92.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.68/92.51 eprover: No such file or directory
% 0.68/92.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.68/92.52 eprover: No such file or directory
% 0.68/94.85 eprover: CPU time limit exceeded, terminating
% 0.68/94.87 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.68/94.87 eprover: No such file or directory
% 0.68/94.87 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.68/94.87 eprover: No such file or directory
% 0.68/94.88 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.68/94.88 eprover: No such file or directory
% 0.68/94.88 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.68/94.88 eprover: No such file or directory
% 0.68/94.89 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.68/94.89 eprover: No such file or directory
% 0.68/94.90 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.68/94.90 eprover: No such file or directory
%------------------------------------------------------------------------------