TSTP Solution File: LAT289+1 by E-SAT---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : LAT289+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n024.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 18:10:24 EDT 2023
% Result : Theorem 0.19s 0.63s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 65 ( 21 unt; 0 def)
% Number of atoms : 294 ( 10 equ)
% Maximal formula atoms : 28 ( 4 avg)
% Number of connectives : 363 ( 134 ~; 129 |; 74 &)
% ( 3 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-4 aty)
% Number of variables : 93 ( 4 sgn; 61 !; 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/sandbox2/tmp/tmp.fZyW2odroq/E---3.1_30930.p',dt_m1_filter_0) ).
fof(t27_lopclset,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_filter_0(X3,X1)
=> ~ ( v1_filter_0(X3,X1)
& ~ r2_hidden(X3,k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),X2))
& r2_hidden(X2,X3) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.fZyW2odroq/E---3.1_30930.p',t27_lopclset) ).
fof(t5_subset,axiom,
! [X1,X2,X3] :
~ ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3))
& v1_xboole_0(X3) ),
file('/export/starexec/sandbox2/tmp/tmp.fZyW2odroq/E---3.1_30930.p',t5_subset) ).
fof(t2_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,X2)
=> ( v1_xboole_0(X2)
| r2_hidden(X1,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.fZyW2odroq/E---3.1_30930.p',t2_subset) ).
fof(dt_k9_lopclset,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> ( v1_funct_1(k9_lopclset(X1))
& v1_funct_2(k9_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)))
& m2_relset_1(k9_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1))) ) ),
file('/export/starexec/sandbox2/tmp/tmp.fZyW2odroq/E---3.1_30930.p',dt_k9_lopclset) ).
fof(existence_m1_subset_1,axiom,
! [X1] :
? [X2] : m1_subset_1(X2,X1),
file('/export/starexec/sandbox2/tmp/tmp.fZyW2odroq/E---3.1_30930.p',existence_m1_subset_1) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( r2_hidden(X1,X2)
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox2/tmp/tmp.fZyW2odroq/E---3.1_30930.p',t7_boole) ).
fof(redefinition_k8_funct_2,axiom,
! [X1,X2,X3,X4] :
( ( ~ v1_xboole_0(X1)
& v1_funct_1(X3)
& v1_funct_2(X3,X1,X2)
& m1_relset_1(X3,X1,X2)
& m1_subset_1(X4,X1) )
=> k8_funct_2(X1,X2,X3,X4) = k1_funct_1(X3,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.fZyW2odroq/E---3.1_30930.p',redefinition_k8_funct_2) ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.fZyW2odroq/E---3.1_30930.p',redefinition_m2_relset_1) ).
fof(t21_lopclset,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_filter_0(X3,X1)
=> ( r2_hidden(X3,k1_funct_1(k8_lopclset(X1),X2))
<=> ( v1_filter_0(X3,X1)
& r2_hidden(X2,X3) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.fZyW2odroq/E---3.1_30930.p',t21_lopclset) ).
fof(redefinition_k9_lopclset,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> k9_lopclset(X1) = k8_lopclset(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.fZyW2odroq/E---3.1_30930.p',redefinition_k9_lopclset) ).
fof(c_0_11,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_12,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_filter_0(X3,X1)
=> ~ ( v1_filter_0(X3,X1)
& ~ r2_hidden(X3,k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),X2))
& r2_hidden(X2,X3) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t27_lopclset])]) ).
fof(c_0_13,plain,
! [X40,X41] :
( ( ~ v1_xboole_0(X41)
| ~ m1_filter_0(X41,X40)
| v3_struct_0(X40)
| ~ v10_lattices(X40)
| ~ l3_lattices(X40) )
& ( m1_subset_1(X41,k1_zfmisc_1(u1_struct_0(X40)))
| ~ m1_filter_0(X41,X40)
| v3_struct_0(X40)
| ~ v10_lattices(X40)
| ~ l3_lattices(X40) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])]) ).
fof(c_0_14,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& v17_lattices(esk1_0)
& ~ v3_realset2(esk1_0)
& l3_lattices(esk1_0)
& m1_subset_1(esk2_0,u1_struct_0(esk1_0))
& m1_filter_0(esk3_0,esk1_0)
& v1_filter_0(esk3_0,esk1_0)
& ~ r2_hidden(esk3_0,k8_funct_2(u1_struct_0(esk1_0),k1_zfmisc_1(k7_lopclset(esk1_0)),k9_lopclset(esk1_0),esk2_0))
& r2_hidden(esk2_0,esk3_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).
fof(c_0_15,plain,
! [X10,X11,X12] :
( ~ r2_hidden(X10,X11)
| ~ m1_subset_1(X11,k1_zfmisc_1(X12))
| ~ v1_xboole_0(X12) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).
cnf(c_0_16,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_13]) ).
cnf(c_0_17,negated_conjecture,
m1_filter_0(esk3_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_18,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_21,plain,
! [X8,X9] :
( ~ m1_subset_1(X8,X9)
| v1_xboole_0(X9)
| r2_hidden(X8,X9) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
fof(c_0_22,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> ( v1_funct_1(k9_lopclset(X1))
& v1_funct_2(k9_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)))
& m2_relset_1(k9_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1))) ) ),
inference(fof_simplification,[status(thm)],[dt_k9_lopclset]) ).
cnf(c_0_23,plain,
( ~ r2_hidden(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ v1_xboole_0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_24,negated_conjecture,
m1_subset_1(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_16,c_0_17]),c_0_18]),c_0_19])]),c_0_20]) ).
cnf(c_0_25,plain,
( v1_xboole_0(X2)
| r2_hidden(X1,X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_26,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_27,plain,
! [X51] : m1_subset_1(esk8_1(X51),X51),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).
fof(c_0_28,plain,
! [X23,X24] :
( ~ r2_hidden(X23,X24)
| ~ v1_xboole_0(X24) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
fof(c_0_29,plain,
! [X1,X2,X3,X4] :
( ( ~ v1_xboole_0(X1)
& v1_funct_1(X3)
& v1_funct_2(X3,X1,X2)
& m1_relset_1(X3,X1,X2)
& m1_subset_1(X4,X1) )
=> k8_funct_2(X1,X2,X3,X4) = k1_funct_1(X3,X4) ),
inference(fof_simplification,[status(thm)],[redefinition_k8_funct_2]) ).
fof(c_0_30,plain,
! [X63,X64,X65] :
( ( ~ m2_relset_1(X65,X63,X64)
| m1_relset_1(X65,X63,X64) )
& ( ~ m1_relset_1(X65,X63,X64)
| m2_relset_1(X65,X63,X64) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
fof(c_0_31,plain,
! [X34] :
( ( v1_funct_1(k9_lopclset(X34))
| v3_struct_0(X34)
| ~ v10_lattices(X34)
| ~ v17_lattices(X34)
| v3_realset2(X34)
| ~ l3_lattices(X34) )
& ( v1_funct_2(k9_lopclset(X34),u1_struct_0(X34),k1_zfmisc_1(k7_lopclset(X34)))
| v3_struct_0(X34)
| ~ v10_lattices(X34)
| ~ v17_lattices(X34)
| v3_realset2(X34)
| ~ l3_lattices(X34) )
& ( m2_relset_1(k9_lopclset(X34),u1_struct_0(X34),k1_zfmisc_1(k7_lopclset(X34)))
| v3_struct_0(X34)
| ~ v10_lattices(X34)
| ~ v17_lattices(X34)
| v3_realset2(X34)
| ~ l3_lattices(X34) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])]) ).
cnf(c_0_32,negated_conjecture,
( ~ v1_xboole_0(u1_struct_0(esk1_0))
| ~ r2_hidden(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_33,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk1_0))
| r2_hidden(esk2_0,u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_34,plain,
m1_subset_1(esk8_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_35,plain,
( ~ r2_hidden(X1,X2)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_36,negated_conjecture,
r2_hidden(esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_37,plain,
! [X25,X26,X27,X28] :
( v1_xboole_0(X25)
| ~ v1_funct_1(X27)
| ~ v1_funct_2(X27,X25,X26)
| ~ m1_relset_1(X27,X25,X26)
| ~ m1_subset_1(X28,X25)
| k8_funct_2(X25,X26,X27,X28) = k1_funct_1(X27,X28) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])]) ).
cnf(c_0_38,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_39,plain,
( m2_relset_1(k9_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)))
| v3_struct_0(X1)
| v3_realset2(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_40,negated_conjecture,
( r2_hidden(esk2_0,u1_struct_0(esk1_0))
| ~ r2_hidden(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_41,plain,
( v1_xboole_0(X1)
| r2_hidden(esk8_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_34]) ).
cnf(c_0_42,negated_conjecture,
~ v1_xboole_0(esk3_0),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
fof(c_0_43,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_filter_0(X3,X1)
=> ( r2_hidden(X3,k1_funct_1(k8_lopclset(X1),X2))
<=> ( v1_filter_0(X3,X1)
& r2_hidden(X2,X3) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t21_lopclset]) ).
cnf(c_0_44,plain,
( v1_xboole_0(X1)
| k8_funct_2(X1,X3,X2,X4) = k1_funct_1(X2,X4)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X1,X3)
| ~ m1_relset_1(X2,X1,X3)
| ~ m1_subset_1(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_45,plain,
( v1_funct_2(k9_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)))
| v3_struct_0(X1)
| v3_realset2(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_46,plain,
( m1_relset_1(k9_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)))
| v3_realset2(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_47,plain,
( v1_funct_1(k9_lopclset(X1))
| v3_struct_0(X1)
| v3_realset2(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_48,negated_conjecture,
r2_hidden(esk2_0,u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]) ).
fof(c_0_49,plain,
! [X46,X47,X48] :
( ( v1_filter_0(X48,X46)
| ~ r2_hidden(X48,k1_funct_1(k8_lopclset(X46),X47))
| ~ m1_filter_0(X48,X46)
| ~ m1_subset_1(X47,u1_struct_0(X46))
| v3_struct_0(X46)
| ~ v10_lattices(X46)
| ~ v17_lattices(X46)
| v3_realset2(X46)
| ~ l3_lattices(X46) )
& ( r2_hidden(X47,X48)
| ~ r2_hidden(X48,k1_funct_1(k8_lopclset(X46),X47))
| ~ m1_filter_0(X48,X46)
| ~ m1_subset_1(X47,u1_struct_0(X46))
| v3_struct_0(X46)
| ~ v10_lattices(X46)
| ~ v17_lattices(X46)
| v3_realset2(X46)
| ~ l3_lattices(X46) )
& ( ~ v1_filter_0(X48,X46)
| ~ r2_hidden(X47,X48)
| r2_hidden(X48,k1_funct_1(k8_lopclset(X46),X47))
| ~ m1_filter_0(X48,X46)
| ~ m1_subset_1(X47,u1_struct_0(X46))
| v3_struct_0(X46)
| ~ v10_lattices(X46)
| ~ v17_lattices(X46)
| v3_realset2(X46)
| ~ l3_lattices(X46) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])])])]) ).
cnf(c_0_50,plain,
( k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),X2) = k1_funct_1(k9_lopclset(X1),X2)
| v1_xboole_0(u1_struct_0(X1))
| v3_realset2(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]),c_0_47]) ).
cnf(c_0_51,negated_conjecture,
v17_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_52,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_35,c_0_48]) ).
cnf(c_0_53,negated_conjecture,
~ v3_realset2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_54,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> k9_lopclset(X1) = k8_lopclset(X1) ),
inference(fof_simplification,[status(thm)],[redefinition_k9_lopclset]) ).
cnf(c_0_55,plain,
( r2_hidden(X1,k1_funct_1(k8_lopclset(X2),X3))
| v3_struct_0(X2)
| v3_realset2(X2)
| ~ v1_filter_0(X1,X2)
| ~ r2_hidden(X3,X1)
| ~ m1_filter_0(X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ v10_lattices(X2)
| ~ v17_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_56,negated_conjecture,
~ r2_hidden(esk3_0,k8_funct_2(u1_struct_0(esk1_0),k1_zfmisc_1(k7_lopclset(esk1_0)),k9_lopclset(esk1_0),esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_57,negated_conjecture,
k8_funct_2(u1_struct_0(esk1_0),k1_zfmisc_1(k7_lopclset(esk1_0)),k9_lopclset(esk1_0),esk2_0) = k1_funct_1(k9_lopclset(esk1_0),esk2_0),
inference(sr,[status(thm)],[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_50,c_0_26]),c_0_18]),c_0_51]),c_0_19])]),c_0_52]),c_0_53]),c_0_20]) ).
fof(c_0_58,plain,
! [X33] :
( v3_struct_0(X33)
| ~ v10_lattices(X33)
| ~ v17_lattices(X33)
| v3_realset2(X33)
| ~ l3_lattices(X33)
| k9_lopclset(X33) = k8_lopclset(X33) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_54])]) ).
cnf(c_0_59,negated_conjecture,
( r2_hidden(X1,k1_funct_1(k8_lopclset(esk1_0),esk2_0))
| ~ r2_hidden(esk2_0,X1)
| ~ v1_filter_0(X1,esk1_0)
| ~ m1_filter_0(X1,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_55,c_0_26]),c_0_18]),c_0_51]),c_0_19])]),c_0_53]),c_0_20]) ).
cnf(c_0_60,negated_conjecture,
v1_filter_0(esk3_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_61,negated_conjecture,
~ r2_hidden(esk3_0,k1_funct_1(k9_lopclset(esk1_0),esk2_0)),
inference(rw,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_62,plain,
( v3_struct_0(X1)
| v3_realset2(X1)
| k9_lopclset(X1) = k8_lopclset(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_63,negated_conjecture,
r2_hidden(esk3_0,k1_funct_1(k8_lopclset(esk1_0),esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_36]),c_0_17])]) ).
cnf(c_0_64,negated_conjecture,
$false,
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_61,c_0_62]),c_0_63]),c_0_18]),c_0_51]),c_0_19])]),c_0_53]),c_0_20]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT289+1 : TPTP v8.1.2. Released v3.4.0.
% 0.12/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 2400
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Oct 2 10:30:27 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.48 Running first-order model finding
% 0.19/0.48 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.fZyW2odroq/E---3.1_30930.p
% 0.19/0.63 # Version: 3.1pre001
% 0.19/0.63 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.19/0.63 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.63 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.19/0.63 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.63 # Starting new_bool_1 with 300s (1) cores
% 0.19/0.63 # Starting sh5l with 300s (1) cores
% 0.19/0.63 # new_bool_1 with pid 31016 completed with status 0
% 0.19/0.63 # Result found by new_bool_1
% 0.19/0.63 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.19/0.63 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.63 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.19/0.63 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.63 # Starting new_bool_1 with 300s (1) cores
% 0.19/0.63 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.63 # Search class: FGHSM-FFMM31-MFFFFFNN
% 0.19/0.63 # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.63 # Starting G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with 23s (1) cores
% 0.19/0.63 # G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with pid 31020 completed with status 0
% 0.19/0.63 # Result found by G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S
% 0.19/0.63 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.19/0.63 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.63 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.19/0.63 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.63 # Starting new_bool_1 with 300s (1) cores
% 0.19/0.63 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.63 # Search class: FGHSM-FFMM31-MFFFFFNN
% 0.19/0.63 # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.63 # Starting G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with 23s (1) cores
% 0.19/0.63 # Preprocessing time : 0.002 s
% 0.19/0.63 # Presaturation interreduction done
% 0.19/0.63
% 0.19/0.63 # Proof found!
% 0.19/0.63 # SZS status Theorem
% 0.19/0.63 # SZS output start CNFRefutation
% See solution above
% 0.19/0.63 # Parsed axioms : 87
% 0.19/0.63 # Removed by relevancy pruning/SinE : 52
% 0.19/0.63 # Initial clauses : 62
% 0.19/0.63 # Removed in clause preprocessing : 0
% 0.19/0.63 # Initial clauses in saturation : 62
% 0.19/0.63 # Processed clauses : 1109
% 0.19/0.63 # ...of these trivial : 3
% 0.19/0.63 # ...subsumed : 555
% 0.19/0.63 # ...remaining for further processing : 551
% 0.19/0.63 # Other redundant clauses eliminated : 1
% 0.19/0.63 # Clauses deleted for lack of memory : 0
% 0.19/0.63 # Backward-subsumed : 11
% 0.19/0.63 # Backward-rewritten : 22
% 0.19/0.63 # Generated clauses : 4265
% 0.19/0.63 # ...of the previous two non-redundant : 4138
% 0.19/0.63 # ...aggressively subsumed : 0
% 0.19/0.63 # Contextual simplify-reflections : 7
% 0.19/0.63 # Paramodulations : 4252
% 0.19/0.63 # Factorizations : 12
% 0.19/0.63 # NegExts : 0
% 0.19/0.63 # Equation resolutions : 1
% 0.19/0.63 # Total rewrite steps : 571
% 0.19/0.63 # Propositional unsat checks : 0
% 0.19/0.63 # Propositional check models : 0
% 0.19/0.63 # Propositional check unsatisfiable : 0
% 0.19/0.63 # Propositional clauses : 0
% 0.19/0.63 # Propositional clauses after purity: 0
% 0.19/0.63 # Propositional unsat core size : 0
% 0.19/0.63 # Propositional preprocessing time : 0.000
% 0.19/0.63 # Propositional encoding time : 0.000
% 0.19/0.63 # Propositional solver time : 0.000
% 0.19/0.63 # Success case prop preproc time : 0.000
% 0.19/0.63 # Success case prop encoding time : 0.000
% 0.19/0.63 # Success case prop solver time : 0.000
% 0.19/0.63 # Current number of processed clauses : 455
% 0.19/0.63 # Positive orientable unit clauses : 66
% 0.19/0.63 # Positive unorientable unit clauses: 0
% 0.19/0.63 # Negative unit clauses : 25
% 0.19/0.63 # Non-unit-clauses : 364
% 0.19/0.63 # Current number of unprocessed clauses: 3094
% 0.19/0.63 # ...number of literals in the above : 17621
% 0.19/0.63 # Current number of archived formulas : 0
% 0.19/0.63 # Current number of archived clauses : 95
% 0.19/0.63 # Clause-clause subsumption calls (NU) : 26275
% 0.19/0.63 # Rec. Clause-clause subsumption calls : 8406
% 0.19/0.63 # Non-unit clause-clause subsumptions : 438
% 0.19/0.63 # Unit Clause-clause subsumption calls : 701
% 0.19/0.63 # Rewrite failures with RHS unbound : 0
% 0.19/0.63 # BW rewrite match attempts : 32
% 0.19/0.63 # BW rewrite match successes : 9
% 0.19/0.63 # Condensation attempts : 0
% 0.19/0.63 # Condensation successes : 0
% 0.19/0.63 # Termbank termtop insertions : 82540
% 0.19/0.63
% 0.19/0.63 # -------------------------------------------------
% 0.19/0.63 # User time : 0.136 s
% 0.19/0.63 # System time : 0.009 s
% 0.19/0.63 # Total time : 0.145 s
% 0.19/0.63 # Maximum resident set size: 2048 pages
% 0.19/0.63
% 0.19/0.63 # -------------------------------------------------
% 0.19/0.63 # User time : 0.139 s
% 0.19/0.63 # System time : 0.011 s
% 0.19/0.63 # Total time : 0.150 s
% 0.19/0.63 # Maximum resident set size: 1768 pages
% 0.19/0.63 % E---3.1 exiting
%------------------------------------------------------------------------------