TSTP Solution File: LAT322+3 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : LAT322+3 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n014.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 18:08:36 EDT 2023
% Result : Theorem 11.40s 5.32s
% Output : CNFRefutation 11.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 18
% Syntax : Number of formulae : 112 ( 24 unt; 0 def)
% Number of atoms : 655 ( 63 equ)
% Maximal formula atoms : 64 ( 5 avg)
% Number of connectives : 840 ( 297 ~; 323 |; 151 &)
% ( 16 <=>; 53 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 2 con; 0-2 aty)
% Number of variables : 118 ( 0 sgn; 84 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t21_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
<=> m1_filter_2(X2,k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.JlnDVKoNGe/E---3.1_398.p',t21_filter_2) ).
fof(t58_filter_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( ( X2 != k17_filter_2(X1)
& v1_filter_2(X2,X1) )
<=> r2_filter_2(X1,X2) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.JlnDVKoNGe/E---3.1_398.p',t58_filter_2) ).
fof(fc6_lattice2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.JlnDVKoNGe/E---3.1_398.p',fc6_lattice2) ).
fof(fc1_lattice2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.JlnDVKoNGe/E---3.1_398.p',fc1_lattice2) ).
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/sandbox2/tmp/tmp.JlnDVKoNGe/E---3.1_398.p',redefinition_m1_filter_2) ).
fof(dt_k1_lattice2,axiom,
! [X1] :
( l3_lattices(X1)
=> ( v3_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.JlnDVKoNGe/E---3.1_398.p',dt_k1_lattice2) ).
fof(t18_lattice2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ( u1_struct_0(X1) = u1_struct_0(k1_lattice2(X1))
& u2_lattices(X1) = u1_lattices(k1_lattice2(X1))
& u1_lattices(X1) = u2_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.JlnDVKoNGe/E---3.1_398.p',t18_lattice2) ).
fof(dt_m1_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.JlnDVKoNGe/E---3.1_398.p',dt_m1_filter_0) ).
fof(d6_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> k7_filter_2(X1,X2) = X2 ) ),
file('/export/starexec/sandbox2/tmp/tmp.JlnDVKoNGe/E---3.1_398.p',d6_filter_2) ).
fof(t54_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1) )
<=> ( ~ v3_struct_0(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1))
& v17_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.JlnDVKoNGe/E---3.1_398.p',t54_filter_2) ).
fof(redefinition_k15_filter_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m2_filter_2(X2,X1) )
=> k15_filter_2(X1,X2) = k7_filter_2(X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.JlnDVKoNGe/E---3.1_398.p',redefinition_k15_filter_2) ).
fof(d2_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> k1_filter_0(X1) = u1_struct_0(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.JlnDVKoNGe/E---3.1_398.p',d2_filter_0) ).
fof(t44_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( v1_filter_2(X2,X1)
<=> v2_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.JlnDVKoNGe/E---3.1_398.p',t44_filter_2) ).
fof(d8_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> k17_filter_2(X1) = u1_struct_0(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.JlnDVKoNGe/E---3.1_398.p',d8_filter_2) ).
fof(t58_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( ( X2 != k1_filter_0(X1)
& v2_filter_0(X2,X1) )
<=> v1_filter_0(X2,X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.JlnDVKoNGe/E---3.1_398.p',t58_filter_0) ).
fof(t33_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( r2_filter_2(X1,X2)
<=> v1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.JlnDVKoNGe/E---3.1_398.p',t33_filter_2) ).
fof(d4_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( v1_filter_0(X2,X1)
<=> ( X2 != u1_struct_0(X1)
& ! [X3] :
( m1_filter_0(X3,X1)
=> ( r1_tarski(X2,X3)
=> ( X3 = u1_struct_0(X1)
| X2 = X3 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.JlnDVKoNGe/E---3.1_398.p',d4_filter_0) ).
fof(t15_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> m1_filter_0(u1_struct_0(X1),X1) ),
file('/export/starexec/sandbox2/tmp/tmp.JlnDVKoNGe/E---3.1_398.p',t15_filter_0) ).
fof(c_0_18,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
<=> m1_filter_2(X2,k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[t21_filter_2]) ).
fof(c_0_19,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( ( X2 != k17_filter_2(X1)
& v1_filter_2(X2,X1) )
<=> r2_filter_2(X1,X2) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t58_filter_2])]) ).
fof(c_0_20,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc6_lattice2]) ).
fof(c_0_21,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc1_lattice2]) ).
fof(c_0_22,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_2(X2,X1)
<=> m1_filter_0(X2,X1) ) ),
inference(fof_simplification,[status(thm)],[redefinition_m1_filter_2]) ).
fof(c_0_23,plain,
! [X763,X764] :
( ( ~ m2_filter_2(X764,X763)
| m1_filter_2(X764,k1_lattice2(X763))
| v3_struct_0(X763)
| ~ v10_lattices(X763)
| ~ l3_lattices(X763) )
& ( ~ m1_filter_2(X764,k1_lattice2(X763))
| m2_filter_2(X764,X763)
| v3_struct_0(X763)
| ~ v10_lattices(X763)
| ~ l3_lattices(X763) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])]) ).
fof(c_0_24,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& v17_lattices(esk1_0)
& l3_lattices(esk1_0)
& m2_filter_2(esk2_0,esk1_0)
& ( esk2_0 = k17_filter_2(esk1_0)
| ~ v1_filter_2(esk2_0,esk1_0)
| ~ r2_filter_2(esk1_0,esk2_0) )
& ( esk2_0 != k17_filter_2(esk1_0)
| r2_filter_2(esk1_0,esk2_0) )
& ( v1_filter_2(esk2_0,esk1_0)
| r2_filter_2(esk1_0,esk2_0) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])]) ).
fof(c_0_25,plain,
! [X213] :
( ( ~ v3_struct_0(k1_lattice2(X213))
| v3_struct_0(X213)
| ~ v10_lattices(X213)
| ~ l3_lattices(X213) )
& ( v3_lattices(k1_lattice2(X213))
| v3_struct_0(X213)
| ~ v10_lattices(X213)
| ~ l3_lattices(X213) )
& ( v4_lattices(k1_lattice2(X213))
| v3_struct_0(X213)
| ~ v10_lattices(X213)
| ~ l3_lattices(X213) )
& ( v5_lattices(k1_lattice2(X213))
| v3_struct_0(X213)
| ~ v10_lattices(X213)
| ~ l3_lattices(X213) )
& ( v6_lattices(k1_lattice2(X213))
| v3_struct_0(X213)
| ~ v10_lattices(X213)
| ~ l3_lattices(X213) )
& ( v7_lattices(k1_lattice2(X213))
| v3_struct_0(X213)
| ~ v10_lattices(X213)
| ~ l3_lattices(X213) )
& ( v8_lattices(k1_lattice2(X213))
| v3_struct_0(X213)
| ~ v10_lattices(X213)
| ~ l3_lattices(X213) )
& ( v9_lattices(k1_lattice2(X213))
| v3_struct_0(X213)
| ~ v10_lattices(X213)
| ~ l3_lattices(X213) )
& ( v10_lattices(k1_lattice2(X213))
| v3_struct_0(X213)
| ~ v10_lattices(X213)
| ~ l3_lattices(X213) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])]) ).
fof(c_0_26,plain,
! [X238] :
( ( v3_lattices(k1_lattice2(X238))
| ~ l3_lattices(X238) )
& ( l3_lattices(k1_lattice2(X238))
| ~ l3_lattices(X238) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_lattice2])])]) ).
fof(c_0_27,plain,
! [X212] :
( ( ~ v3_struct_0(k1_lattice2(X212))
| v3_struct_0(X212)
| ~ l3_lattices(X212) )
& ( v3_lattices(k1_lattice2(X212))
| v3_struct_0(X212)
| ~ l3_lattices(X212) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])]) ).
fof(c_0_28,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ( u1_struct_0(X1) = u1_struct_0(k1_lattice2(X1))
& u2_lattices(X1) = u1_lattices(k1_lattice2(X1))
& u1_lattices(X1) = u2_lattices(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[t18_lattice2]) ).
fof(c_0_29,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ) ),
inference(fof_simplification,[status(thm)],[dt_m1_filter_0]) ).
fof(c_0_30,plain,
! [X758,X759] :
( ( ~ m1_filter_2(X759,X758)
| m1_filter_0(X759,X758)
| v3_struct_0(X758)
| ~ v10_lattices(X758)
| ~ l3_lattices(X758) )
& ( ~ m1_filter_0(X759,X758)
| m1_filter_2(X759,X758)
| v3_struct_0(X758)
| ~ v10_lattices(X758)
| ~ l3_lattices(X758) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])])]) ).
cnf(c_0_31,plain,
( m1_filter_2(X1,k1_lattice2(X2))
| v3_struct_0(X2)
| ~ m2_filter_2(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_32,negated_conjecture,
m2_filter_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_33,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_34,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_35,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_36,plain,
( v10_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_37,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_38,plain,
( v3_struct_0(X1)
| ~ v3_struct_0(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_39,plain,
! [X215] :
( ( u1_struct_0(X215) = u1_struct_0(k1_lattice2(X215))
| v3_struct_0(X215)
| ~ l3_lattices(X215) )
& ( u2_lattices(X215) = u1_lattices(k1_lattice2(X215))
| v3_struct_0(X215)
| ~ l3_lattices(X215) )
& ( u1_lattices(X215) = u2_lattices(k1_lattice2(X215))
| v3_struct_0(X215)
| ~ l3_lattices(X215) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])]) ).
fof(c_0_40,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> k7_filter_2(X1,X2) = X2 ) ),
inference(fof_simplification,[status(thm)],[d6_filter_2]) ).
fof(c_0_41,plain,
! [X695,X696] :
( ( ~ v1_xboole_0(X696)
| ~ m1_filter_0(X696,X695)
| v3_struct_0(X695)
| ~ v10_lattices(X695)
| ~ l3_lattices(X695) )
& ( m1_subset_1(X696,k1_zfmisc_1(u1_struct_0(X695)))
| ~ m1_filter_0(X696,X695)
| v3_struct_0(X695)
| ~ v10_lattices(X695)
| ~ l3_lattices(X695) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])])]) ).
cnf(c_0_42,plain,
( m1_filter_0(X1,X2)
| v3_struct_0(X2)
| ~ m1_filter_2(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_43,negated_conjecture,
m1_filter_2(esk2_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_31,c_0_32]),c_0_33]),c_0_34])]),c_0_35]) ).
cnf(c_0_44,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_36,c_0_34]),c_0_33])]),c_0_35]) ).
cnf(c_0_45,negated_conjecture,
l3_lattices(k1_lattice2(esk1_0)),
inference(spm,[status(thm)],[c_0_37,c_0_34]) ).
cnf(c_0_46,negated_conjecture,
~ v3_struct_0(k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_34]),c_0_35]) ).
cnf(c_0_47,plain,
( u1_struct_0(X1) = u1_struct_0(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
fof(c_0_48,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1) )
<=> ( ~ v3_struct_0(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1))
& v17_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) ) ),
inference(fof_simplification,[status(thm)],[t54_filter_2]) ).
fof(c_0_49,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m2_filter_2(X2,X1) )
=> k15_filter_2(X1,X2) = k7_filter_2(X1,X2) ),
inference(fof_simplification,[status(thm)],[redefinition_k15_filter_2]) ).
fof(c_0_50,plain,
! [X767,X768] :
( v3_struct_0(X767)
| ~ v10_lattices(X767)
| ~ l3_lattices(X767)
| ~ m1_subset_1(X768,k1_zfmisc_1(u1_struct_0(X767)))
| k7_filter_2(X767,X768) = X768 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])]) ).
cnf(c_0_51,plain,
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| v3_struct_0(X2)
| ~ m1_filter_0(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_52,negated_conjecture,
m1_filter_0(esk2_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_42,c_0_43]),c_0_44]),c_0_45])]),c_0_46]) ).
cnf(c_0_53,negated_conjecture,
u1_struct_0(k1_lattice2(esk1_0)) = u1_struct_0(esk1_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_34]),c_0_35]) ).
fof(c_0_54,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> k1_filter_0(X1) = u1_struct_0(X1) ),
inference(fof_simplification,[status(thm)],[d2_filter_0]) ).
fof(c_0_55,plain,
! [X242] :
( ( ~ v3_struct_0(k1_lattice2(X242))
| v3_struct_0(X242)
| ~ v10_lattices(X242)
| ~ v17_lattices(X242)
| ~ l3_lattices(X242)
| v3_struct_0(X242)
| ~ v10_lattices(X242)
| ~ l3_lattices(X242) )
& ( v10_lattices(k1_lattice2(X242))
| v3_struct_0(X242)
| ~ v10_lattices(X242)
| ~ v17_lattices(X242)
| ~ l3_lattices(X242)
| v3_struct_0(X242)
| ~ v10_lattices(X242)
| ~ l3_lattices(X242) )
& ( v17_lattices(k1_lattice2(X242))
| v3_struct_0(X242)
| ~ v10_lattices(X242)
| ~ v17_lattices(X242)
| ~ l3_lattices(X242)
| v3_struct_0(X242)
| ~ v10_lattices(X242)
| ~ l3_lattices(X242) )
& ( l3_lattices(k1_lattice2(X242))
| v3_struct_0(X242)
| ~ v10_lattices(X242)
| ~ v17_lattices(X242)
| ~ l3_lattices(X242)
| v3_struct_0(X242)
| ~ v10_lattices(X242)
| ~ l3_lattices(X242) )
& ( ~ v3_struct_0(X242)
| v3_struct_0(k1_lattice2(X242))
| ~ v10_lattices(k1_lattice2(X242))
| ~ v17_lattices(k1_lattice2(X242))
| ~ l3_lattices(k1_lattice2(X242))
| v3_struct_0(X242)
| ~ v10_lattices(X242)
| ~ l3_lattices(X242) )
& ( v10_lattices(X242)
| v3_struct_0(k1_lattice2(X242))
| ~ v10_lattices(k1_lattice2(X242))
| ~ v17_lattices(k1_lattice2(X242))
| ~ l3_lattices(k1_lattice2(X242))
| v3_struct_0(X242)
| ~ v10_lattices(X242)
| ~ l3_lattices(X242) )
& ( v17_lattices(X242)
| v3_struct_0(k1_lattice2(X242))
| ~ v10_lattices(k1_lattice2(X242))
| ~ v17_lattices(k1_lattice2(X242))
| ~ l3_lattices(k1_lattice2(X242))
| v3_struct_0(X242)
| ~ v10_lattices(X242)
| ~ l3_lattices(X242) )
& ( l3_lattices(X242)
| v3_struct_0(k1_lattice2(X242))
| ~ v10_lattices(k1_lattice2(X242))
| ~ v17_lattices(k1_lattice2(X242))
| ~ l3_lattices(k1_lattice2(X242))
| v3_struct_0(X242)
| ~ v10_lattices(X242)
| ~ l3_lattices(X242) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_48])])]) ).
fof(c_0_56,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( v1_filter_2(X2,X1)
<=> v2_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1)) ) ) ),
inference(fof_simplification,[status(thm)],[t44_filter_2]) ).
fof(c_0_57,plain,
! [X245,X246] :
( v3_struct_0(X245)
| ~ v10_lattices(X245)
| ~ l3_lattices(X245)
| ~ m2_filter_2(X246,X245)
| k15_filter_2(X245,X246) = k7_filter_2(X245,X246) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_49])]) ).
cnf(c_0_58,plain,
( v3_struct_0(X1)
| k7_filter_2(X1,X2) = X2
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_59,negated_conjecture,
m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53]),c_0_44]),c_0_45])]),c_0_46]) ).
fof(c_0_60,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> k17_filter_2(X1) = u1_struct_0(X1) ),
inference(fof_simplification,[status(thm)],[d8_filter_2]) ).
fof(c_0_61,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( ( X2 != k1_filter_0(X1)
& v2_filter_0(X2,X1) )
<=> v1_filter_0(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[t58_filter_0]) ).
fof(c_0_62,plain,
! [X890] :
( v3_struct_0(X890)
| ~ v10_lattices(X890)
| ~ l3_lattices(X890)
| k1_filter_0(X890) = u1_struct_0(X890) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_54])]) ).
cnf(c_0_63,plain,
( v17_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
fof(c_0_64,plain,
! [X39,X40] :
( ( ~ v1_filter_2(X40,X39)
| v2_filter_0(k15_filter_2(X39,X40),k1_lattice2(X39))
| ~ m2_filter_2(X40,X39)
| v3_struct_0(X39)
| ~ v10_lattices(X39)
| ~ l3_lattices(X39) )
& ( ~ v2_filter_0(k15_filter_2(X39,X40),k1_lattice2(X39))
| v1_filter_2(X40,X39)
| ~ m2_filter_2(X40,X39)
| v3_struct_0(X39)
| ~ v10_lattices(X39)
| ~ l3_lattices(X39) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_56])])])]) ).
cnf(c_0_65,plain,
( v3_struct_0(X1)
| k15_filter_2(X1,X2) = k7_filter_2(X1,X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_66,negated_conjecture,
k7_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_58,c_0_59]),c_0_33]),c_0_34])]),c_0_35]) ).
fof(c_0_67,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( r2_filter_2(X1,X2)
<=> v1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1)) ) ) ),
inference(fof_simplification,[status(thm)],[t33_filter_2]) ).
fof(c_0_68,plain,
! [X42] :
( v3_struct_0(X42)
| ~ v10_lattices(X42)
| ~ l3_lattices(X42)
| k17_filter_2(X42) = u1_struct_0(X42) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_60])]) ).
fof(c_0_69,plain,
! [X399,X400] :
( ( X400 = k1_filter_0(X399)
| ~ v2_filter_0(X400,X399)
| v1_filter_0(X400,X399)
| ~ m1_filter_0(X400,X399)
| v3_struct_0(X399)
| ~ v10_lattices(X399)
| ~ v17_lattices(X399)
| ~ l3_lattices(X399) )
& ( X400 != k1_filter_0(X399)
| ~ v1_filter_0(X400,X399)
| ~ m1_filter_0(X400,X399)
| v3_struct_0(X399)
| ~ v10_lattices(X399)
| ~ v17_lattices(X399)
| ~ l3_lattices(X399) )
& ( v2_filter_0(X400,X399)
| ~ v1_filter_0(X400,X399)
| ~ m1_filter_0(X400,X399)
| v3_struct_0(X399)
| ~ v10_lattices(X399)
| ~ v17_lattices(X399)
| ~ l3_lattices(X399) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_61])])])]) ).
cnf(c_0_70,plain,
( v3_struct_0(X1)
| k1_filter_0(X1) = u1_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_71,plain,
( v3_struct_0(X1)
| v17_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1) ),
inference(cn,[status(thm)],[c_0_63]) ).
cnf(c_0_72,negated_conjecture,
v17_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_73,plain,
( v2_filter_0(k15_filter_2(X2,X1),k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v1_filter_2(X1,X2)
| ~ m2_filter_2(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_74,negated_conjecture,
k15_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_32]),c_0_66]),c_0_33]),c_0_34])]),c_0_35]) ).
fof(c_0_75,plain,
! [X21,X22] :
( ( ~ r2_filter_2(X21,X22)
| v1_filter_0(k15_filter_2(X21,X22),k1_lattice2(X21))
| ~ m2_filter_2(X22,X21)
| v3_struct_0(X21)
| ~ v10_lattices(X21)
| ~ l3_lattices(X21) )
& ( ~ v1_filter_0(k15_filter_2(X21,X22),k1_lattice2(X21))
| r2_filter_2(X21,X22)
| ~ m2_filter_2(X22,X21)
| v3_struct_0(X21)
| ~ v10_lattices(X21)
| ~ l3_lattices(X21) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_67])])])]) ).
cnf(c_0_76,plain,
( v3_struct_0(X1)
| k17_filter_2(X1) = u1_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_77,plain,
( X1 = k1_filter_0(X2)
| v1_filter_0(X1,X2)
| v3_struct_0(X2)
| ~ v2_filter_0(X1,X2)
| ~ m1_filter_0(X1,X2)
| ~ v10_lattices(X2)
| ~ v17_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_78,negated_conjecture,
k1_filter_0(k1_lattice2(esk1_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_70,c_0_45]),c_0_53]),c_0_44])]),c_0_46]) ).
cnf(c_0_79,negated_conjecture,
v17_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_71,c_0_34]),c_0_72]),c_0_33])]),c_0_35]) ).
cnf(c_0_80,negated_conjecture,
( v2_filter_0(esk2_0,k1_lattice2(esk1_0))
| ~ v1_filter_2(esk2_0,esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_32]),c_0_74]),c_0_33]),c_0_34])]),c_0_35]) ).
cnf(c_0_81,negated_conjecture,
( v1_filter_2(esk2_0,esk1_0)
| r2_filter_2(esk1_0,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_82,plain,
( r2_filter_2(X1,X2)
| v3_struct_0(X1)
| ~ v1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1))
| ~ m2_filter_2(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_83,negated_conjecture,
( r2_filter_2(esk1_0,esk2_0)
| esk2_0 != k17_filter_2(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_84,negated_conjecture,
k17_filter_2(esk1_0) = u1_struct_0(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_34]),c_0_33])]),c_0_35]) ).
cnf(c_0_85,plain,
( v1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1))
| v3_struct_0(X1)
| ~ r2_filter_2(X1,X2)
| ~ m2_filter_2(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_86,negated_conjecture,
( u1_struct_0(esk1_0) = esk2_0
| v1_filter_0(esk2_0,k1_lattice2(esk1_0))
| ~ v2_filter_0(esk2_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_52]),c_0_78]),c_0_79]),c_0_44]),c_0_45])]),c_0_46]) ).
cnf(c_0_87,negated_conjecture,
( r2_filter_2(esk1_0,esk2_0)
| v2_filter_0(esk2_0,k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_88,negated_conjecture,
( r2_filter_2(esk1_0,esk2_0)
| ~ v1_filter_0(esk2_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_82,c_0_32]),c_0_74]),c_0_33]),c_0_34])]),c_0_35]) ).
cnf(c_0_89,negated_conjecture,
( r2_filter_2(esk1_0,esk2_0)
| u1_struct_0(esk1_0) != esk2_0 ),
inference(rw,[status(thm)],[c_0_83,c_0_84]) ).
fof(c_0_90,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( v1_filter_0(X2,X1)
<=> ( X2 != u1_struct_0(X1)
& ! [X3] :
( m1_filter_0(X3,X1)
=> ( r1_tarski(X2,X3)
=> ( X3 = u1_struct_0(X1)
| X2 = X3 ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d4_filter_0]) ).
fof(c_0_91,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> m1_filter_0(u1_struct_0(X1),X1) ),
inference(fof_simplification,[status(thm)],[t15_filter_0]) ).
cnf(c_0_92,plain,
( v2_filter_0(X1,X2)
| v3_struct_0(X2)
| ~ v1_filter_0(X1,X2)
| ~ m1_filter_0(X1,X2)
| ~ v10_lattices(X2)
| ~ v17_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_93,negated_conjecture,
( v1_filter_0(esk2_0,k1_lattice2(esk1_0))
| ~ r2_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(spm,[status(thm)],[c_0_85,c_0_32]),c_0_74]),c_0_33]),c_0_34])]),c_0_35]) ).
cnf(c_0_94,negated_conjecture,
r2_filter_2(esk1_0,esk2_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88]),c_0_89]) ).
fof(c_0_95,plain,
! [X181,X182,X183] :
( ( X182 != u1_struct_0(X181)
| ~ v1_filter_0(X182,X181)
| ~ m1_filter_0(X182,X181)
| v3_struct_0(X181)
| ~ v10_lattices(X181)
| ~ l3_lattices(X181) )
& ( ~ m1_filter_0(X183,X181)
| ~ r1_tarski(X182,X183)
| X183 = u1_struct_0(X181)
| X182 = X183
| ~ v1_filter_0(X182,X181)
| ~ m1_filter_0(X182,X181)
| v3_struct_0(X181)
| ~ v10_lattices(X181)
| ~ l3_lattices(X181) )
& ( m1_filter_0(esk21_2(X181,X182),X181)
| X182 = u1_struct_0(X181)
| v1_filter_0(X182,X181)
| ~ m1_filter_0(X182,X181)
| v3_struct_0(X181)
| ~ v10_lattices(X181)
| ~ l3_lattices(X181) )
& ( r1_tarski(X182,esk21_2(X181,X182))
| X182 = u1_struct_0(X181)
| v1_filter_0(X182,X181)
| ~ m1_filter_0(X182,X181)
| v3_struct_0(X181)
| ~ v10_lattices(X181)
| ~ l3_lattices(X181) )
& ( esk21_2(X181,X182) != u1_struct_0(X181)
| X182 = u1_struct_0(X181)
| v1_filter_0(X182,X181)
| ~ m1_filter_0(X182,X181)
| v3_struct_0(X181)
| ~ v10_lattices(X181)
| ~ l3_lattices(X181) )
& ( X182 != esk21_2(X181,X182)
| X182 = u1_struct_0(X181)
| v1_filter_0(X182,X181)
| ~ m1_filter_0(X182,X181)
| v3_struct_0(X181)
| ~ v10_lattices(X181)
| ~ l3_lattices(X181) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_90])])])])]) ).
fof(c_0_96,plain,
! [X694] :
( v3_struct_0(X694)
| ~ v10_lattices(X694)
| ~ l3_lattices(X694)
| m1_filter_0(u1_struct_0(X694),X694) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_91])]) ).
cnf(c_0_97,negated_conjecture,
( esk2_0 = k17_filter_2(esk1_0)
| ~ v1_filter_2(esk2_0,esk1_0)
| ~ r2_filter_2(esk1_0,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_98,plain,
( v1_filter_2(X2,X1)
| v3_struct_0(X1)
| ~ v2_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1))
| ~ m2_filter_2(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_99,negated_conjecture,
( v2_filter_0(esk2_0,k1_lattice2(esk1_0))
| ~ v1_filter_0(esk2_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_92,c_0_52]),c_0_79]),c_0_44]),c_0_45])]),c_0_46]) ).
cnf(c_0_100,negated_conjecture,
v1_filter_0(esk2_0,k1_lattice2(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_94])]) ).
cnf(c_0_101,plain,
( v3_struct_0(X2)
| X1 != u1_struct_0(X2)
| ~ v1_filter_0(X1,X2)
| ~ m1_filter_0(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_102,plain,
( v3_struct_0(X1)
| m1_filter_0(u1_struct_0(X1),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_103,negated_conjecture,
( u1_struct_0(esk1_0) = esk2_0
| ~ v1_filter_2(esk2_0,esk1_0)
| ~ r2_filter_2(esk1_0,esk2_0) ),
inference(rw,[status(thm)],[c_0_97,c_0_84]) ).
cnf(c_0_104,negated_conjecture,
( v1_filter_2(esk2_0,esk1_0)
| ~ v2_filter_0(esk2_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_98,c_0_32]),c_0_74]),c_0_33]),c_0_34])]),c_0_35]) ).
cnf(c_0_105,negated_conjecture,
v2_filter_0(esk2_0,k1_lattice2(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_99,c_0_100])]) ).
cnf(c_0_106,plain,
( v3_struct_0(X1)
| ~ v1_filter_0(u1_struct_0(X1),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_101]),c_0_102]) ).
cnf(c_0_107,negated_conjecture,
( u1_struct_0(esk1_0) = esk2_0
| ~ v1_filter_2(esk2_0,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_103,c_0_94])]) ).
cnf(c_0_108,negated_conjecture,
v1_filter_2(esk2_0,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_105])]) ).
cnf(c_0_109,negated_conjecture,
~ v1_filter_0(u1_struct_0(esk1_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_106,c_0_53]),c_0_44]),c_0_45])]),c_0_46]) ).
cnf(c_0_110,negated_conjecture,
u1_struct_0(esk1_0) = esk2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_107,c_0_108])]) ).
cnf(c_0_111,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_109,c_0_110]),c_0_100])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 1.07/1.07 % Problem : LAT322+3 : TPTP v8.1.2. Released v3.4.0.
% 1.07/1.09 % Command : run_E %s %d THM
% 1.11/1.30 % Computer : n014.cluster.edu
% 1.11/1.30 % Model : x86_64 x86_64
% 1.11/1.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 1.11/1.30 % Memory : 8042.1875MB
% 1.11/1.30 % OS : Linux 3.10.0-693.el7.x86_64
% 1.11/1.30 % CPULimit : 2400
% 1.11/1.30 % WCLimit : 300
% 1.11/1.30 % DateTime : Mon Oct 2 10:52:07 EDT 2023
% 1.11/1.30 % CPUTime :
% 3.66/3.92 Running first-order theorem proving
% 3.66/3.92 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/tmp/tmp.JlnDVKoNGe/E---3.1_398.p
% 11.40/5.32 # Version: 3.1pre001
% 11.40/5.32 # Preprocessing class: FMLLSMLLSSSNFFN.
% 11.40/5.32 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.40/5.32 # Starting new_bool_3 with 900s (3) cores
% 11.40/5.32 # Starting new_bool_1 with 900s (3) cores
% 11.40/5.32 # Starting sh5l with 300s (1) cores
% 11.40/5.32 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 11.40/5.32 # new_bool_3 with pid 477 completed with status 0
% 11.40/5.32 # Result found by new_bool_3
% 11.40/5.32 # Preprocessing class: FMLLSMLLSSSNFFN.
% 11.40/5.32 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.40/5.32 # Starting new_bool_3 with 900s (3) cores
% 11.40/5.32 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 11.40/5.32 # Search class: FGHSM-SMLM32-MFFFFFNN
% 11.40/5.32 # Scheduled 13 strats onto 3 cores with 900 seconds (900 total)
% 11.40/5.32 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 68s (1) cores
% 11.40/5.32 # Starting new_bool_3 with 91s (1) cores
% 11.40/5.32 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 68s (1) cores
% 11.40/5.32 # G-E--_208_C18_F1_SE_CS_SP_PS_S2g with pid 487 completed with status 0
% 11.40/5.32 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S2g
% 11.40/5.32 # Preprocessing class: FMLLSMLLSSSNFFN.
% 11.40/5.32 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.40/5.32 # Starting new_bool_3 with 900s (3) cores
% 11.40/5.32 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 11.40/5.32 # Search class: FGHSM-SMLM32-MFFFFFNN
% 11.40/5.32 # Scheduled 13 strats onto 3 cores with 900 seconds (900 total)
% 11.40/5.32 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 68s (1) cores
% 11.40/5.32 # Starting new_bool_3 with 91s (1) cores
% 11.40/5.32 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 68s (1) cores
% 11.40/5.32 # Preprocessing time : 0.032 s
% 11.40/5.32 # Presaturation interreduction done
% 11.40/5.32
% 11.40/5.32 # Proof found!
% 11.40/5.32 # SZS status Theorem
% 11.40/5.32 # SZS output start CNFRefutation
% See solution above
% 11.40/5.32 # Parsed axioms : 13652
% 11.40/5.32 # Removed by relevancy pruning/SinE : 13181
% 11.40/5.32 # Initial clauses : 1235
% 11.40/5.32 # Removed in clause preprocessing : 57
% 11.40/5.32 # Initial clauses in saturation : 1178
% 11.40/5.32 # Processed clauses : 5916
% 11.40/5.32 # ...of these trivial : 135
% 11.40/5.32 # ...subsumed : 1537
% 11.40/5.32 # ...remaining for further processing : 4244
% 11.40/5.32 # Other redundant clauses eliminated : 100
% 11.40/5.32 # Clauses deleted for lack of memory : 0
% 11.40/5.32 # Backward-subsumed : 13
% 11.40/5.32 # Backward-rewritten : 528
% 11.40/5.32 # Generated clauses : 16940
% 11.40/5.32 # ...of the previous two non-redundant : 16155
% 11.40/5.32 # ...aggressively subsumed : 0
% 11.40/5.32 # Contextual simplify-reflections : 86
% 11.40/5.32 # Paramodulations : 16841
% 11.40/5.32 # Factorizations : 2
% 11.40/5.32 # NegExts : 0
% 11.40/5.32 # Equation resolutions : 104
% 11.40/5.32 # Total rewrite steps : 9792
% 11.40/5.32 # Propositional unsat checks : 0
% 11.40/5.32 # Propositional check models : 0
% 11.40/5.32 # Propositional check unsatisfiable : 0
% 11.40/5.32 # Propositional clauses : 0
% 11.40/5.32 # Propositional clauses after purity: 0
% 11.40/5.32 # Propositional unsat core size : 0
% 11.40/5.32 # Propositional preprocessing time : 0.000
% 11.40/5.32 # Propositional encoding time : 0.000
% 11.40/5.32 # Propositional solver time : 0.000
% 11.40/5.32 # Success case prop preproc time : 0.000
% 11.40/5.32 # Success case prop encoding time : 0.000
% 11.40/5.32 # Success case prop solver time : 0.000
% 11.40/5.32 # Current number of processed clauses : 2538
% 11.40/5.32 # Positive orientable unit clauses : 696
% 11.40/5.32 # Positive unorientable unit clauses: 0
% 11.40/5.32 # Negative unit clauses : 532
% 11.40/5.32 # Non-unit-clauses : 1310
% 11.40/5.32 # Current number of unprocessed clauses: 12190
% 11.40/5.32 # ...number of literals in the above : 35139
% 11.40/5.32 # Current number of archived formulas : 0
% 11.40/5.32 # Current number of archived clauses : 1624
% 11.40/5.32 # Clause-clause subsumption calls (NU) : 934403
% 11.40/5.32 # Rec. Clause-clause subsumption calls : 216093
% 11.40/5.32 # Non-unit clause-clause subsumptions : 413
% 11.40/5.32 # Unit Clause-clause subsumption calls : 84325
% 11.40/5.32 # Rewrite failures with RHS unbound : 0
% 11.40/5.32 # BW rewrite match attempts : 504
% 11.40/5.32 # BW rewrite match successes : 82
% 11.40/5.32 # Condensation attempts : 0
% 11.40/5.32 # Condensation successes : 0
% 11.40/5.32 # Termbank termtop insertions : 712541
% 11.40/5.32
% 11.40/5.32 # -------------------------------------------------
% 11.40/5.32 # User time : 0.965 s
% 11.40/5.32 # System time : 0.066 s
% 11.40/5.32 # Total time : 1.031 s
% 11.40/5.32 # Maximum resident set size: 26412 pages
% 11.40/5.32
% 11.40/5.32 # -------------------------------------------------
% 11.40/5.32 # User time : 2.946 s
% 11.40/5.32 # System time : 0.129 s
% 11.40/5.32 # Total time : 3.075 s
% 11.40/5.32 # Maximum resident set size: 20072 pages
% 11.40/5.32 % E---3.1 exiting
% 11.86/5.32 % E---3.1 exiting
%------------------------------------------------------------------------------