TSTP Solution File: LAT305+2 by E-SAT---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : LAT305+2 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n017.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 18:10:32 EDT 2023
% Result : Theorem 247.16s 32.00s
% Output : CNFRefutation 247.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 21
% Syntax : Number of formulae : 129 ( 34 unt; 0 def)
% Number of atoms : 549 ( 15 equ)
% Maximal formula atoms : 28 ( 4 avg)
% Number of connectives : 667 ( 247 ~; 241 |; 106 &)
% ( 10 <=>; 63 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 189 ( 4 sgn; 124 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
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/tmp/tmp.Qe1ryy86Ek/E---3.1_7493.p',dt_m1_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/sandbox/tmp/tmp.Qe1ryy86Ek/E---3.1_7493.p',t15_filter_0) ).
fof(d2_subset_1,axiom,
! [X1,X2] :
( ( ~ v1_xboole_0(X1)
=> ( m1_subset_1(X2,X1)
<=> r2_hidden(X2,X1) ) )
& ( v1_xboole_0(X1)
=> ( m1_subset_1(X2,X1)
<=> v1_xboole_0(X2) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.Qe1ryy86Ek/E---3.1_7493.p',d2_subset_1) ).
fof(t31_filter_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r2_hidden(X2,k18_filter_2(X1,X2))
& r2_hidden(k4_lattices(X1,X2,X3),k18_filter_2(X1,X2))
& r2_hidden(k4_lattices(X1,X3,X2),k18_filter_2(X1,X2)) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.Qe1ryy86Ek/E---3.1_7493.p',t31_filter_2) ).
fof(d1_xboole_0,axiom,
! [X1] :
( X1 = k1_xboole_0
<=> ! [X2] : ~ r2_hidden(X2,X1) ),
file('/export/starexec/sandbox/tmp/tmp.Qe1ryy86Ek/E---3.1_7493.p',d1_xboole_0) ).
fof(reflexivity_r3_lattices,axiom,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& v6_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> r3_lattices(X1,X2,X2) ),
file('/export/starexec/sandbox/tmp/tmp.Qe1ryy86Ek/E---3.1_7493.p',reflexivity_r3_lattices) ).
fof(t1_subset,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> m1_subset_1(X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.Qe1ryy86Ek/E---3.1_7493.p',t1_subset) ).
fof(t46_zfmisc_1,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> k2_xboole_0(k1_tarski(X1),X2) = X2 ),
file('/export/starexec/sandbox/tmp/tmp.Qe1ryy86Ek/E---3.1_7493.p',t46_zfmisc_1) ).
fof(t49_zfmisc_1,axiom,
! [X1,X2] : k2_xboole_0(k1_tarski(X1),X2) != k1_xboole_0,
file('/export/starexec/sandbox/tmp/tmp.Qe1ryy86Ek/E---3.1_7493.p',t49_zfmisc_1) ).
fof(cc1_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v4_lattices(X1)
& v5_lattices(X1)
& v6_lattices(X1)
& v7_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.Qe1ryy86Ek/E---3.1_7493.p',cc1_lattices) ).
fof(existence_m1_subset_1,axiom,
! [X1] :
? [X2] : m1_subset_1(X2,X1),
file('/export/starexec/sandbox/tmp/tmp.Qe1ryy86Ek/E---3.1_7493.p',existence_m1_subset_1) ).
fof(dt_k18_filter_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> m2_filter_2(k18_filter_2(X1,X2),X1) ),
file('/export/starexec/sandbox/tmp/tmp.Qe1ryy86Ek/E---3.1_7493.p',dt_k18_filter_2) ).
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/tmp/tmp.Qe1ryy86Ek/E---3.1_7493.p',dt_m2_filter_2) ).
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/tmp/tmp.Qe1ryy86Ek/E---3.1_7493.p',dt_m2_lattice4) ).
fof(t23_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m2_filter_2(X4,X1)
=> ( r2_hidden(X2,X4)
=> ( r2_hidden(k4_lattices(X1,X2,X3),X4)
& r2_hidden(k4_lattices(X1,X3,X2),X4) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.Qe1ryy86Ek/E---3.1_7493.p',t23_filter_2) ).
fof(t29_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r2_hidden(X2,k18_filter_2(X1,X3))
<=> r3_lattices(X1,X2,X3) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.Qe1ryy86Ek/E---3.1_7493.p',t29_filter_2) ).
fof(t2_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( r3_lattices(X1,X2,X3)
=> ( r3_lattices(X1,k4_lattices(X1,X2,X4),X3)
& r3_lattices(X1,k4_lattices(X1,X4,X2),X3) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.Qe1ryy86Ek/E---3.1_7493.p',t2_filter_0) ).
fof(t3_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
<=> r1_tarski(X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.Qe1ryy86Ek/E---3.1_7493.p',t3_subset) ).
fof(t28_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> m2_filter_2(u1_struct_0(X1),X1) ),
file('/export/starexec/sandbox/tmp/tmp.Qe1ryy86Ek/E---3.1_7493.p',t28_filter_2) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( r2_hidden(X1,X2)
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox/tmp/tmp.Qe1ryy86Ek/E---3.1_7493.p',t7_boole) ).
fof(d3_tarski,axiom,
! [X1,X2] :
( r1_tarski(X1,X2)
<=> ! [X3] :
( r2_hidden(X3,X1)
=> r2_hidden(X3,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.Qe1ryy86Ek/E---3.1_7493.p',d3_tarski) ).
fof(c_0_21,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_22,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]) ).
fof(c_0_23,plain,
! [X1,X2] :
( ( ~ v1_xboole_0(X1)
=> ( m1_subset_1(X2,X1)
<=> r2_hidden(X2,X1) ) )
& ( v1_xboole_0(X1)
=> ( m1_subset_1(X2,X1)
<=> v1_xboole_0(X2) ) ) ),
inference(fof_simplification,[status(thm)],[d2_subset_1]) ).
fof(c_0_24,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r2_hidden(X2,k18_filter_2(X1,X2))
& r2_hidden(k4_lattices(X1,X2,X3),k18_filter_2(X1,X2))
& r2_hidden(k4_lattices(X1,X3,X2),k18_filter_2(X1,X2)) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t31_filter_2])]) ).
fof(c_0_25,plain,
! [X291,X292] :
( ( ~ v1_xboole_0(X292)
| ~ m1_filter_0(X292,X291)
| v3_struct_0(X291)
| ~ v10_lattices(X291)
| ~ l3_lattices(X291) )
& ( m1_subset_1(X292,k1_zfmisc_1(u1_struct_0(X291)))
| ~ m1_filter_0(X292,X291)
| v3_struct_0(X291)
| ~ v10_lattices(X291)
| ~ l3_lattices(X291) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])]) ).
fof(c_0_26,plain,
! [X290] :
( v3_struct_0(X290)
| ~ v10_lattices(X290)
| ~ l3_lattices(X290)
| m1_filter_0(u1_struct_0(X290),X290) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])]) ).
fof(c_0_27,plain,
! [X34,X35] :
( ( ~ m1_subset_1(X35,X34)
| r2_hidden(X35,X34)
| v1_xboole_0(X34) )
& ( ~ r2_hidden(X35,X34)
| m1_subset_1(X35,X34)
| v1_xboole_0(X34) )
& ( ~ m1_subset_1(X35,X34)
| v1_xboole_0(X35)
| ~ v1_xboole_0(X34) )
& ( ~ v1_xboole_0(X35)
| m1_subset_1(X35,X34)
| ~ v1_xboole_0(X34) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])]) ).
fof(c_0_28,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))
& m1_subset_1(esk3_0,u1_struct_0(esk1_0))
& ( ~ r2_hidden(esk2_0,k18_filter_2(esk1_0,esk2_0))
| ~ r2_hidden(k4_lattices(esk1_0,esk2_0,esk3_0),k18_filter_2(esk1_0,esk2_0))
| ~ r2_hidden(k4_lattices(esk1_0,esk3_0,esk2_0),k18_filter_2(esk1_0,esk2_0)) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])]) ).
fof(c_0_29,plain,
! [X1] :
( X1 = k1_xboole_0
<=> ! [X2] : ~ r2_hidden(X2,X1) ),
inference(fof_simplification,[status(thm)],[d1_xboole_0]) ).
cnf(c_0_30,plain,
( v3_struct_0(X2)
| ~ v1_xboole_0(X1)
| ~ m1_filter_0(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_31,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_26]) ).
cnf(c_0_32,plain,
( r2_hidden(X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_33,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_34,plain,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& v6_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> r3_lattices(X1,X2,X2) ),
inference(fof_simplification,[status(thm)],[reflexivity_r3_lattices]) ).
fof(c_0_35,plain,
! [X36,X37] :
( ~ r2_hidden(X36,X37)
| m1_subset_1(X36,X37) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
fof(c_0_36,plain,
! [X324,X325,X326] :
( ( X324 != k1_xboole_0
| ~ r2_hidden(X325,X324) )
& ( r2_hidden(esk46_1(X326),X326)
| X326 = k1_xboole_0 ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])])])]) ).
fof(c_0_37,plain,
! [X491,X492] :
( ~ r2_hidden(X491,X492)
| k2_xboole_0(k1_tarski(X491),X492) = X492 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t46_zfmisc_1])]) ).
cnf(c_0_38,plain,
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_39,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk1_0))
| r2_hidden(esk3_0,u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_40,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_41,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_42,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_43,plain,
! [X222,X223,X224] :
( v3_struct_0(X222)
| ~ v6_lattices(X222)
| ~ v8_lattices(X222)
| ~ v9_lattices(X222)
| ~ l3_lattices(X222)
| ~ m1_subset_1(X223,u1_struct_0(X222))
| ~ m1_subset_1(X224,u1_struct_0(X222))
| r3_lattices(X222,X223,X223) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])]) ).
cnf(c_0_44,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_45,plain,
( r2_hidden(esk46_1(X1),X1)
| X1 = k1_xboole_0 ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_46,plain,
! [X493,X494] : k2_xboole_0(k1_tarski(X493),X494) != k1_xboole_0,
inference(variable_rename,[status(thm)],[t49_zfmisc_1]) ).
cnf(c_0_47,plain,
( k2_xboole_0(k1_tarski(X1),X2) = X2
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_48,negated_conjecture,
r2_hidden(esk3_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_38,c_0_39]),c_0_40]),c_0_41])]),c_0_42]) ).
cnf(c_0_49,plain,
( v3_struct_0(X1)
| r3_lattices(X1,X2,X2)
| ~ v6_lattices(X1)
| ~ v8_lattices(X1)
| ~ v9_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_50,plain,
( X1 = k1_xboole_0
| m1_subset_1(esk46_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_51,plain,
k2_xboole_0(k1_tarski(X1),X2) != k1_xboole_0,
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_52,negated_conjecture,
k2_xboole_0(k1_tarski(esk3_0),u1_struct_0(esk1_0)) = u1_struct_0(esk1_0),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
fof(c_0_53,plain,
! [X1] :
( l3_lattices(X1)
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v4_lattices(X1)
& v5_lattices(X1)
& v6_lattices(X1)
& v7_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc1_lattices]) ).
fof(c_0_54,plain,
! [X104] : m1_subset_1(esk15_1(X104),X104),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).
fof(c_0_55,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> m2_filter_2(k18_filter_2(X1,X2),X1) ),
inference(fof_simplification,[status(thm)],[dt_k18_filter_2]) ).
cnf(c_0_56,plain,
( u1_struct_0(X1) = k1_xboole_0
| r3_lattices(X1,X2,X2)
| v3_struct_0(X1)
| ~ v9_lattices(X1)
| ~ v8_lattices(X1)
| ~ v6_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_57,negated_conjecture,
u1_struct_0(esk1_0) != k1_xboole_0,
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
fof(c_0_58,plain,
! [X438] :
( ( ~ v3_struct_0(X438)
| v3_struct_0(X438)
| ~ v10_lattices(X438)
| ~ l3_lattices(X438) )
& ( v4_lattices(X438)
| v3_struct_0(X438)
| ~ v10_lattices(X438)
| ~ l3_lattices(X438) )
& ( v5_lattices(X438)
| v3_struct_0(X438)
| ~ v10_lattices(X438)
| ~ l3_lattices(X438) )
& ( v6_lattices(X438)
| v3_struct_0(X438)
| ~ v10_lattices(X438)
| ~ l3_lattices(X438) )
& ( v7_lattices(X438)
| v3_struct_0(X438)
| ~ v10_lattices(X438)
| ~ l3_lattices(X438) )
& ( v8_lattices(X438)
| v3_struct_0(X438)
| ~ v10_lattices(X438)
| ~ l3_lattices(X438) )
& ( v9_lattices(X438)
| v3_struct_0(X438)
| ~ v10_lattices(X438)
| ~ l3_lattices(X438) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])])]) ).
cnf(c_0_59,plain,
m1_subset_1(esk15_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
fof(c_0_60,plain,
! [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) ) ) ),
inference(fof_simplification,[status(thm)],[dt_m2_filter_2]) ).
fof(c_0_61,plain,
! [X60,X61] :
( v3_struct_0(X60)
| ~ v10_lattices(X60)
| ~ l3_lattices(X60)
| ~ m1_subset_1(X61,u1_struct_0(X60))
| m2_filter_2(k18_filter_2(X60,X61),X60) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_55])]) ).
cnf(c_0_62,negated_conjecture,
( r3_lattices(esk1_0,esk3_0,esk3_0)
| ~ v9_lattices(esk1_0)
| ~ v8_lattices(esk1_0)
| ~ v6_lattices(esk1_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_33]),c_0_41])]),c_0_57]),c_0_42]) ).
cnf(c_0_63,plain,
( v9_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_64,plain,
( r3_lattices(X1,X2,X2)
| v3_struct_0(X1)
| ~ v9_lattices(X1)
| ~ v8_lattices(X1)
| ~ v6_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(spm,[status(thm)],[c_0_49,c_0_59]) ).
cnf(c_0_65,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_66,plain,
! [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))) ) ),
inference(fof_simplification,[status(thm)],[dt_m2_lattice4]) ).
fof(c_0_67,plain,
! [X193,X194] :
( ( ~ v1_xboole_0(X194)
| ~ m2_filter_2(X194,X193)
| v3_struct_0(X193)
| ~ v10_lattices(X193)
| ~ l3_lattices(X193) )
& ( m2_lattice4(X194,X193)
| ~ m2_filter_2(X194,X193)
| v3_struct_0(X193)
| ~ v10_lattices(X193)
| ~ l3_lattices(X193) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_60])])])]) ).
cnf(c_0_68,plain,
( v3_struct_0(X1)
| m2_filter_2(k18_filter_2(X1,X2),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
fof(c_0_69,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m2_filter_2(X4,X1)
=> ( r2_hidden(X2,X4)
=> ( r2_hidden(k4_lattices(X1,X2,X3),X4)
& r2_hidden(k4_lattices(X1,X3,X2),X4) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t23_filter_2]) ).
fof(c_0_70,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r2_hidden(X2,k18_filter_2(X1,X3))
<=> r3_lattices(X1,X2,X3) ) ) ) ),
inference(fof_simplification,[status(thm)],[t29_filter_2]) ).
cnf(c_0_71,negated_conjecture,
( r3_lattices(esk1_0,esk3_0,esk3_0)
| ~ v8_lattices(esk1_0)
| ~ v6_lattices(esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_40]),c_0_41])]),c_0_42]) ).
cnf(c_0_72,plain,
( v8_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_73,negated_conjecture,
( r3_lattices(esk1_0,esk2_0,esk2_0)
| ~ v9_lattices(esk1_0)
| ~ v8_lattices(esk1_0)
| ~ v6_lattices(esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_41])]),c_0_42]) ).
fof(c_0_74,plain,
! [X385,X386] :
( v3_struct_0(X385)
| ~ v10_lattices(X385)
| ~ l3_lattices(X385)
| ~ m2_lattice4(X386,X385)
| m1_subset_1(X386,k1_zfmisc_1(u1_struct_0(X385))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_66])])]) ).
cnf(c_0_75,plain,
( m2_lattice4(X1,X2)
| v3_struct_0(X2)
| ~ m2_filter_2(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_76,negated_conjecture,
m2_filter_2(k18_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_68,c_0_33]),c_0_40]),c_0_41])]),c_0_42]) ).
fof(c_0_77,plain,
! [X212,X213,X214,X215] :
( ( r2_hidden(k4_lattices(X212,X213,X214),X215)
| ~ r2_hidden(X213,X215)
| ~ m2_filter_2(X215,X212)
| ~ m1_subset_1(X214,u1_struct_0(X212))
| ~ m1_subset_1(X213,u1_struct_0(X212))
| v3_struct_0(X212)
| ~ v10_lattices(X212)
| ~ l3_lattices(X212) )
& ( r2_hidden(k4_lattices(X212,X214,X213),X215)
| ~ r2_hidden(X213,X215)
| ~ m2_filter_2(X215,X212)
| ~ m1_subset_1(X214,u1_struct_0(X212))
| ~ m1_subset_1(X213,u1_struct_0(X212))
| v3_struct_0(X212)
| ~ v10_lattices(X212)
| ~ l3_lattices(X212) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_69])])])]) ).
fof(c_0_78,plain,
! [X62,X63,X64] :
( ( ~ r2_hidden(X63,k18_filter_2(X62,X64))
| r3_lattices(X62,X63,X64)
| ~ m1_subset_1(X64,u1_struct_0(X62))
| ~ m1_subset_1(X63,u1_struct_0(X62))
| v3_struct_0(X62)
| ~ v10_lattices(X62)
| ~ l3_lattices(X62) )
& ( ~ r3_lattices(X62,X63,X64)
| r2_hidden(X63,k18_filter_2(X62,X64))
| ~ m1_subset_1(X64,u1_struct_0(X62))
| ~ m1_subset_1(X63,u1_struct_0(X62))
| v3_struct_0(X62)
| ~ v10_lattices(X62)
| ~ l3_lattices(X62) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_70])])])]) ).
cnf(c_0_79,negated_conjecture,
( r3_lattices(esk1_0,esk3_0,esk3_0)
| ~ v6_lattices(esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_40]),c_0_41])]),c_0_42]) ).
cnf(c_0_80,plain,
( v6_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
fof(c_0_81,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( r3_lattices(X1,X2,X3)
=> ( r3_lattices(X1,k4_lattices(X1,X2,X4),X3)
& r3_lattices(X1,k4_lattices(X1,X4,X2),X3) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t2_filter_0]) ).
cnf(c_0_82,negated_conjecture,
( r3_lattices(esk1_0,esk2_0,esk2_0)
| ~ v8_lattices(esk1_0)
| ~ v6_lattices(esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_63]),c_0_40]),c_0_41])]),c_0_42]) ).
fof(c_0_83,plain,
! [X132,X133] :
( ( ~ m1_subset_1(X132,k1_zfmisc_1(X133))
| r1_tarski(X132,X133) )
& ( ~ r1_tarski(X132,X133)
| m1_subset_1(X132,k1_zfmisc_1(X133)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])]) ).
cnf(c_0_84,plain,
( v3_struct_0(X1)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_lattice4(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_85,negated_conjecture,
m2_lattice4(k18_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_75,c_0_76]),c_0_40]),c_0_41])]),c_0_42]) ).
cnf(c_0_86,plain,
( r2_hidden(k4_lattices(X1,X2,X3),X4)
| v3_struct_0(X1)
| ~ r2_hidden(X3,X4)
| ~ m2_filter_2(X4,X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_87,plain,
( r2_hidden(X2,k18_filter_2(X1,X3))
| v3_struct_0(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_88,negated_conjecture,
r3_lattices(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_79,c_0_80]),c_0_40]),c_0_41])]),c_0_42]) ).
fof(c_0_89,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> m2_filter_2(u1_struct_0(X1),X1) ),
inference(fof_simplification,[status(thm)],[t28_filter_2]) ).
fof(c_0_90,plain,
! [X32,X33] :
( ~ r2_hidden(X32,X33)
| ~ v1_xboole_0(X33) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
fof(c_0_91,plain,
! [X78,X79,X80,X81] :
( ( r3_lattices(X78,k4_lattices(X78,X79,X81),X80)
| ~ r3_lattices(X78,X79,X80)
| ~ m1_subset_1(X81,u1_struct_0(X78))
| ~ m1_subset_1(X80,u1_struct_0(X78))
| ~ m1_subset_1(X79,u1_struct_0(X78))
| v3_struct_0(X78)
| ~ v10_lattices(X78)
| ~ l3_lattices(X78) )
& ( r3_lattices(X78,k4_lattices(X78,X81,X79),X80)
| ~ r3_lattices(X78,X79,X80)
| ~ m1_subset_1(X81,u1_struct_0(X78))
| ~ m1_subset_1(X80,u1_struct_0(X78))
| ~ m1_subset_1(X79,u1_struct_0(X78))
| v3_struct_0(X78)
| ~ v10_lattices(X78)
| ~ l3_lattices(X78) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_81])])])]) ).
cnf(c_0_92,negated_conjecture,
( r3_lattices(esk1_0,esk2_0,esk2_0)
| ~ v6_lattices(esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_72]),c_0_40]),c_0_41])]),c_0_42]) ).
fof(c_0_93,plain,
! [X22,X23,X24,X25,X26] :
( ( ~ r1_tarski(X22,X23)
| ~ r2_hidden(X24,X22)
| r2_hidden(X24,X23) )
& ( r2_hidden(esk5_2(X25,X26),X25)
| r1_tarski(X25,X26) )
& ( ~ r2_hidden(esk5_2(X25,X26),X26)
| r1_tarski(X25,X26) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_tarski])])])])])]) ).
cnf(c_0_94,plain,
( r1_tarski(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_95,negated_conjecture,
m1_subset_1(k18_filter_2(esk1_0,esk3_0),k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_40]),c_0_41])]),c_0_42]) ).
cnf(c_0_96,negated_conjecture,
( r2_hidden(k4_lattices(esk1_0,X1,X2),k18_filter_2(esk1_0,esk3_0))
| ~ m1_subset_1(X2,u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ r2_hidden(X2,k18_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_86,c_0_76]),c_0_40]),c_0_41])]),c_0_42]) ).
cnf(c_0_97,negated_conjecture,
r2_hidden(esk3_0,k18_filter_2(esk1_0,esk3_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_87,c_0_88]),c_0_40]),c_0_41]),c_0_33])]),c_0_42]) ).
fof(c_0_98,plain,
! [X221] :
( v3_struct_0(X221)
| ~ v10_lattices(X221)
| ~ l3_lattices(X221)
| m2_filter_2(u1_struct_0(X221),X221) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_89])]) ).
cnf(c_0_99,plain,
( ~ r2_hidden(X1,X2)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_100,plain,
( r3_lattices(X1,k4_lattices(X1,X2,X3),X4)
| v3_struct_0(X1)
| ~ r3_lattices(X1,X2,X4)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_101,negated_conjecture,
r3_lattices(esk1_0,esk2_0,esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_80]),c_0_40]),c_0_41])]),c_0_42]) ).
cnf(c_0_102,plain,
( r2_hidden(X3,X2)
| ~ r1_tarski(X1,X2)
| ~ r2_hidden(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_103,negated_conjecture,
r1_tarski(k18_filter_2(esk1_0,esk3_0),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_104,negated_conjecture,
( r2_hidden(k4_lattices(esk1_0,X1,esk3_0),k18_filter_2(esk1_0,esk3_0))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_33])]) ).
cnf(c_0_105,plain,
( v3_struct_0(X1)
| m2_filter_2(u1_struct_0(X1),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_106,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_99,c_0_48]) ).
cnf(c_0_107,negated_conjecture,
( r3_lattices(esk1_0,k4_lattices(esk1_0,esk2_0,X1),esk2_0)
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_40]),c_0_41]),c_0_65])]),c_0_42]) ).
cnf(c_0_108,negated_conjecture,
( r2_hidden(X1,u1_struct_0(esk1_0))
| ~ r2_hidden(X1,k18_filter_2(esk1_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_109,negated_conjecture,
r2_hidden(k4_lattices(esk1_0,esk2_0,esk3_0),k18_filter_2(esk1_0,esk3_0)),
inference(spm,[status(thm)],[c_0_104,c_0_65]) ).
cnf(c_0_110,plain,
( r3_lattices(X1,k4_lattices(X1,X2,X3),X4)
| v3_struct_0(X1)
| ~ r3_lattices(X1,X3,X4)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_111,plain,
( v3_struct_0(X1)
| r2_hidden(k4_lattices(X1,X2,X3),u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ r2_hidden(X3,u1_struct_0(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_105]),c_0_44]) ).
cnf(c_0_112,negated_conjecture,
r2_hidden(esk2_0,u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_65]),c_0_106]) ).
cnf(c_0_113,negated_conjecture,
r3_lattices(esk1_0,k4_lattices(esk1_0,esk2_0,esk3_0),esk2_0),
inference(spm,[status(thm)],[c_0_107,c_0_33]) ).
cnf(c_0_114,negated_conjecture,
r2_hidden(k4_lattices(esk1_0,esk2_0,esk3_0),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_115,negated_conjecture,
( r3_lattices(esk1_0,k4_lattices(esk1_0,X1,esk2_0),esk2_0)
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_101]),c_0_40]),c_0_41]),c_0_65])]),c_0_42]) ).
cnf(c_0_116,negated_conjecture,
( r2_hidden(k4_lattices(esk1_0,X1,esk2_0),u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_40]),c_0_41])]),c_0_42]) ).
cnf(c_0_117,negated_conjecture,
( ~ r2_hidden(esk2_0,k18_filter_2(esk1_0,esk2_0))
| ~ r2_hidden(k4_lattices(esk1_0,esk2_0,esk3_0),k18_filter_2(esk1_0,esk2_0))
| ~ r2_hidden(k4_lattices(esk1_0,esk3_0,esk2_0),k18_filter_2(esk1_0,esk2_0)) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_118,negated_conjecture,
r2_hidden(esk2_0,k18_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_87,c_0_101]),c_0_40]),c_0_41]),c_0_65])]),c_0_42]) ).
cnf(c_0_119,negated_conjecture,
( r2_hidden(k4_lattices(esk1_0,esk2_0,esk3_0),k18_filter_2(esk1_0,esk2_0))
| ~ m1_subset_1(k4_lattices(esk1_0,esk2_0,esk3_0),u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_113]),c_0_40]),c_0_41]),c_0_65])]),c_0_42]) ).
cnf(c_0_120,negated_conjecture,
m1_subset_1(k4_lattices(esk1_0,esk2_0,esk3_0),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_44,c_0_114]) ).
cnf(c_0_121,negated_conjecture,
r3_lattices(esk1_0,k4_lattices(esk1_0,esk3_0,esk2_0),esk2_0),
inference(spm,[status(thm)],[c_0_115,c_0_33]) ).
cnf(c_0_122,negated_conjecture,
r2_hidden(k4_lattices(esk1_0,esk3_0,esk2_0),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_116,c_0_33]) ).
cnf(c_0_123,negated_conjecture,
( ~ r2_hidden(k4_lattices(esk1_0,esk2_0,esk3_0),k18_filter_2(esk1_0,esk2_0))
| ~ r2_hidden(k4_lattices(esk1_0,esk3_0,esk2_0),k18_filter_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_117,c_0_118])]) ).
cnf(c_0_124,negated_conjecture,
r2_hidden(k4_lattices(esk1_0,esk2_0,esk3_0),k18_filter_2(esk1_0,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_119,c_0_120])]) ).
cnf(c_0_125,negated_conjecture,
( r2_hidden(k4_lattices(esk1_0,esk3_0,esk2_0),k18_filter_2(esk1_0,esk2_0))
| ~ m1_subset_1(k4_lattices(esk1_0,esk3_0,esk2_0),u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_121]),c_0_40]),c_0_41]),c_0_65])]),c_0_42]) ).
cnf(c_0_126,negated_conjecture,
m1_subset_1(k4_lattices(esk1_0,esk3_0,esk2_0),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_44,c_0_122]) ).
cnf(c_0_127,negated_conjecture,
~ r2_hidden(k4_lattices(esk1_0,esk3_0,esk2_0),k18_filter_2(esk1_0,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_123,c_0_124])]) ).
cnf(c_0_128,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_125,c_0_126])]),c_0_127]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LAT305+2 : TPTP v8.1.2. Released v3.4.0.
% 0.10/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n017.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 2400
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Oct 2 09:31:11 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.47/0.69 Running first-order model finding
% 0.47/0.69 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.Qe1ryy86Ek/E---3.1_7493.p
% 247.16/32.00 # Version: 3.1pre001
% 247.16/32.00 # Preprocessing class: FMLMSMSLSSSNFFN.
% 247.16/32.00 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 247.16/32.00 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 900s (3) cores
% 247.16/32.00 # Starting new_bool_3 with 600s (2) cores
% 247.16/32.00 # Starting new_bool_1 with 600s (2) cores
% 247.16/32.00 # Starting sh5l with 300s (1) cores
% 247.16/32.00 # new_bool_3 with pid 7571 completed with status 0
% 247.16/32.00 # Result found by new_bool_3
% 247.16/32.00 # Preprocessing class: FMLMSMSLSSSNFFN.
% 247.16/32.00 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 247.16/32.00 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 900s (3) cores
% 247.16/32.00 # Starting new_bool_3 with 600s (2) cores
% 247.16/32.00 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 247.16/32.00 # Search class: FGHSM-FSLM31-MFFFFFNN
% 247.16/32.00 # Scheduled 7 strats onto 2 cores with 600 seconds (600 total)
% 247.16/32.00 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 270s (1) cores
% 247.16/32.00 # Starting new_bool_3 with 61s (1) cores
% 247.16/32.00 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with pid 7574 completed with status 0
% 247.16/32.00 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 247.16/32.00 # Preprocessing class: FMLMSMSLSSSNFFN.
% 247.16/32.00 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 247.16/32.00 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 900s (3) cores
% 247.16/32.00 # Starting new_bool_3 with 600s (2) cores
% 247.16/32.00 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 247.16/32.00 # Search class: FGHSM-FSLM31-MFFFFFNN
% 247.16/32.00 # Scheduled 7 strats onto 2 cores with 600 seconds (600 total)
% 247.16/32.00 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 270s (1) cores
% 247.16/32.00 # Preprocessing time : 0.009 s
% 247.16/32.00 # Presaturation interreduction done
% 247.16/32.00
% 247.16/32.00 # Proof found!
% 247.16/32.00 # SZS status Theorem
% 247.16/32.00 # SZS output start CNFRefutation
% See solution above
% 247.16/32.00 # Parsed axioms : 2958
% 247.16/32.00 # Removed by relevancy pruning/SinE : 2740
% 247.16/32.00 # Initial clauses : 489
% 247.16/32.00 # Removed in clause preprocessing : 14
% 247.16/32.00 # Initial clauses in saturation : 475
% 247.16/32.00 # Processed clauses : 77106
% 247.16/32.00 # ...of these trivial : 370
% 247.16/32.00 # ...subsumed : 60978
% 247.16/32.00 # ...remaining for further processing : 15758
% 247.16/32.00 # Other redundant clauses eliminated : 789
% 247.16/32.00 # Clauses deleted for lack of memory : 0
% 247.16/32.00 # Backward-subsumed : 512
% 247.16/32.00 # Backward-rewritten : 64
% 247.16/32.00 # Generated clauses : 1182351
% 247.16/32.00 # ...of the previous two non-redundant : 1162468
% 247.16/32.00 # ...aggressively subsumed : 0
% 247.16/32.00 # Contextual simplify-reflections : 152
% 247.16/32.00 # Paramodulations : 1181479
% 247.16/32.00 # Factorizations : 43
% 247.16/32.00 # NegExts : 0
% 247.16/32.00 # Equation resolutions : 801
% 247.16/32.00 # Total rewrite steps : 100542
% 247.16/32.00 # Propositional unsat checks : 3
% 247.16/32.00 # Propositional check models : 0
% 247.16/32.00 # Propositional check unsatisfiable : 0
% 247.16/32.00 # Propositional clauses : 0
% 247.16/32.00 # Propositional clauses after purity: 0
% 247.16/32.00 # Propositional unsat core size : 0
% 247.16/32.00 # Propositional preprocessing time : 0.000
% 247.16/32.00 # Propositional encoding time : 2.857
% 247.16/32.00 # Propositional solver time : 1.795
% 247.16/32.00 # Success case prop preproc time : 0.000
% 247.16/32.00 # Success case prop encoding time : 0.000
% 247.16/32.00 # Success case prop solver time : 0.000
% 247.16/32.00 # Current number of processed clauses : 14690
% 247.16/32.00 # Positive orientable unit clauses : 1485
% 247.16/32.00 # Positive unorientable unit clauses: 2
% 247.16/32.00 # Negative unit clauses : 2943
% 247.16/32.00 # Non-unit-clauses : 10260
% 247.16/32.00 # Current number of unprocessed clauses: 1084842
% 247.16/32.00 # ...number of literals in the above : 4577325
% 247.16/32.00 # Current number of archived formulas : 0
% 247.16/32.00 # Current number of archived clauses : 1048
% 247.16/32.00 # Clause-clause subsumption calls (NU) : 8115913
% 247.16/32.00 # Rec. Clause-clause subsumption calls : 4892395
% 247.16/32.00 # Non-unit clause-clause subsumptions : 12611
% 247.16/32.00 # Unit Clause-clause subsumption calls : 1216939
% 247.16/32.00 # Rewrite failures with RHS unbound : 0
% 247.16/32.00 # BW rewrite match attempts : 2873
% 247.16/32.00 # BW rewrite match successes : 41
% 247.16/32.00 # Condensation attempts : 0
% 247.16/32.00 # Condensation successes : 0
% 247.16/32.00 # Termbank termtop insertions : 35960220
% 247.16/32.00
% 247.16/32.00 # -------------------------------------------------
% 247.16/32.00 # User time : 29.828 s
% 247.16/32.00 # System time : 0.966 s
% 247.16/32.00 # Total time : 30.795 s
% 247.16/32.00 # Maximum resident set size: 6924 pages
% 247.16/32.00
% 247.16/32.00 # -------------------------------------------------
% 247.16/32.00 # User time : 59.842 s
% 247.16/32.00 # System time : 0.973 s
% 247.16/32.00 # Total time : 60.815 s
% 247.16/32.00 # Maximum resident set size: 5140 pages
% 247.16/32.00 % E---3.1 exiting
%------------------------------------------------------------------------------