TSTP Solution File: LAT289+4 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : LAT289+4 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n032.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 1162.64s 151.16s
% Output : CNFRefutation 1162.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 55 ( 14 unt; 0 def)
% Number of atoms : 303 ( 9 equ)
% Maximal formula atoms : 28 ( 5 avg)
% Number of connectives : 385 ( 137 ~; 133 |; 86 &)
% ( 3 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-4 aty)
% Number of variables : 72 ( 0 sgn; 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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.lteeFLXKKr/E---3.1_26572.p',t27_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.lteeFLXKKr/E---3.1_26572.p',redefinition_k9_lopclset) ).
fof(dt_k8_lopclset,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> ( v1_relat_1(k8_lopclset(X1))
& v1_funct_1(k8_lopclset(X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.lteeFLXKKr/E---3.1_26572.p',dt_k8_lopclset) ).
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.lteeFLXKKr/E---3.1_26572.p',redefinition_k8_funct_2) ).
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.lteeFLXKKr/E---3.1_26572.p',dt_k9_lopclset) ).
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.lteeFLXKKr/E---3.1_26572.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.lteeFLXKKr/E---3.1_26572.p',t21_lopclset) ).
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.lteeFLXKKr/E---3.1_26572.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/sandbox2/tmp/tmp.lteeFLXKKr/E---3.1_26572.p',t15_filter_0) ).
fof(c_0_9,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_10,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]) ).
fof(c_0_11,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> ( v1_relat_1(k8_lopclset(X1))
& v1_funct_1(k8_lopclset(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k8_lopclset]) ).
fof(c_0_12,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_9])])]) ).
fof(c_0_13,plain,
! [X119] :
( v3_struct_0(X119)
| ~ v10_lattices(X119)
| ~ v17_lattices(X119)
| v3_realset2(X119)
| ~ l3_lattices(X119)
| k9_lopclset(X119) = k8_lopclset(X119) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])]) ).
fof(c_0_14,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_15,plain,
! [X494] :
( ( v1_relat_1(k8_lopclset(X494))
| v3_struct_0(X494)
| ~ v10_lattices(X494)
| ~ v17_lattices(X494)
| v3_realset2(X494)
| ~ l3_lattices(X494) )
& ( v1_funct_1(k8_lopclset(X494))
| v3_struct_0(X494)
| ~ v10_lattices(X494)
| ~ v17_lattices(X494)
| v3_realset2(X494)
| ~ l3_lattices(X494) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])]) ).
cnf(c_0_16,negated_conjecture,
~ v3_realset2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,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_13]) ).
cnf(c_0_18,negated_conjecture,
v17_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_20,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_21,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_22,plain,
! [X94,X95,X96,X97] :
( v1_xboole_0(X94)
| ~ v1_funct_1(X96)
| ~ v1_funct_2(X96,X94,X95)
| ~ m1_relset_1(X96,X94,X95)
| ~ m1_subset_1(X97,X94)
| k8_funct_2(X94,X95,X96,X97) = k1_funct_1(X96,X97) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])]) ).
cnf(c_0_23,plain,
( v1_funct_1(k8_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_15]) ).
cnf(c_0_24,negated_conjecture,
k8_lopclset(esk1_0) = k9_lopclset(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_16,c_0_17]),c_0_18]),c_0_19]),c_0_20])]),c_0_21]) ).
fof(c_0_25,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_26,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_12]) ).
cnf(c_0_27,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_22]) ).
cnf(c_0_28,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_29,negated_conjecture,
v1_funct_1(k9_lopclset(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_23,c_0_24]),c_0_18]),c_0_19]),c_0_20])]),c_0_16]),c_0_21]) ).
fof(c_0_30,plain,
! [X118] :
( ( v1_funct_1(k9_lopclset(X118))
| v3_struct_0(X118)
| ~ v10_lattices(X118)
| ~ v17_lattices(X118)
| v3_realset2(X118)
| ~ l3_lattices(X118) )
& ( v1_funct_2(k9_lopclset(X118),u1_struct_0(X118),k1_zfmisc_1(k7_lopclset(X118)))
| v3_struct_0(X118)
| ~ v10_lattices(X118)
| ~ v17_lattices(X118)
| v3_realset2(X118)
| ~ l3_lattices(X118) )
& ( m2_relset_1(k9_lopclset(X118),u1_struct_0(X118),k1_zfmisc_1(k7_lopclset(X118)))
| v3_struct_0(X118)
| ~ v10_lattices(X118)
| ~ v17_lattices(X118)
| v3_realset2(X118)
| ~ l3_lattices(X118) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])]) ).
fof(c_0_31,plain,
! [X211,X212,X213] :
( ( ~ m2_relset_1(X213,X211,X212)
| m1_relset_1(X213,X211,X212) )
& ( ~ m1_relset_1(X213,X211,X212)
| m2_relset_1(X213,X211,X212) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
fof(c_0_32,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]) ).
fof(c_0_33,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_34,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_35,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk1_0))
| ~ v1_funct_2(k9_lopclset(esk1_0),u1_struct_0(esk1_0),k1_zfmisc_1(k7_lopclset(esk1_0)))
| ~ m1_relset_1(k9_lopclset(esk1_0),u1_struct_0(esk1_0),k1_zfmisc_1(k7_lopclset(esk1_0)))
| ~ r2_hidden(esk3_0,k1_funct_1(k9_lopclset(esk1_0),esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28])]),c_0_29])]) ).
cnf(c_0_36,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_30]) ).
cnf(c_0_37,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_38,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_30]) ).
fof(c_0_39,plain,
! [X500,X501,X502] :
( ( v1_filter_0(X502,X500)
| ~ r2_hidden(X502,k1_funct_1(k8_lopclset(X500),X501))
| ~ m1_filter_0(X502,X500)
| ~ m1_subset_1(X501,u1_struct_0(X500))
| v3_struct_0(X500)
| ~ v10_lattices(X500)
| ~ v17_lattices(X500)
| v3_realset2(X500)
| ~ l3_lattices(X500) )
& ( r2_hidden(X501,X502)
| ~ r2_hidden(X502,k1_funct_1(k8_lopclset(X500),X501))
| ~ m1_filter_0(X502,X500)
| ~ m1_subset_1(X501,u1_struct_0(X500))
| v3_struct_0(X500)
| ~ v10_lattices(X500)
| ~ v17_lattices(X500)
| v3_realset2(X500)
| ~ l3_lattices(X500) )
& ( ~ v1_filter_0(X502,X500)
| ~ r2_hidden(X501,X502)
| r2_hidden(X502,k1_funct_1(k8_lopclset(X500),X501))
| ~ m1_filter_0(X502,X500)
| ~ m1_subset_1(X501,u1_struct_0(X500))
| v3_struct_0(X500)
| ~ v10_lattices(X500)
| ~ v17_lattices(X500)
| v3_realset2(X500)
| ~ l3_lattices(X500) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])])]) ).
fof(c_0_40,plain,
! [X189,X190] :
( ( ~ v1_xboole_0(X190)
| ~ m1_filter_0(X190,X189)
| v3_struct_0(X189)
| ~ v10_lattices(X189)
| ~ l3_lattices(X189) )
& ( m1_subset_1(X190,k1_zfmisc_1(u1_struct_0(X189)))
| ~ m1_filter_0(X190,X189)
| v3_struct_0(X189)
| ~ v10_lattices(X189)
| ~ l3_lattices(X189) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])])]) ).
fof(c_0_41,plain,
! [X188] :
( v3_struct_0(X188)
| ~ v10_lattices(X188)
| ~ l3_lattices(X188)
| m1_filter_0(u1_struct_0(X188),X188) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])]) ).
cnf(c_0_42,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk1_0))
| ~ m1_relset_1(k9_lopclset(esk1_0),u1_struct_0(esk1_0),k1_zfmisc_1(k7_lopclset(esk1_0)))
| ~ r2_hidden(esk3_0,k1_funct_1(k9_lopclset(esk1_0),esk2_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_35,c_0_36]),c_0_18]),c_0_19]),c_0_20])]),c_0_16]),c_0_21]) ).
cnf(c_0_43,plain,
( v3_realset2(X1)
| v3_struct_0(X1)
| m1_relset_1(k9_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)))
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_44,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_39]) ).
cnf(c_0_45,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_40]) ).
cnf(c_0_46,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_41]) ).
cnf(c_0_47,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk1_0))
| ~ r2_hidden(esk3_0,k1_funct_1(k9_lopclset(esk1_0),esk2_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_42,c_0_43]),c_0_18]),c_0_19]),c_0_20])]),c_0_16]),c_0_21]) ).
cnf(c_0_48,negated_conjecture,
( r2_hidden(X1,k1_funct_1(k9_lopclset(esk1_0),X2))
| ~ v1_filter_0(X1,esk1_0)
| ~ m1_filter_0(X1,esk1_0)
| ~ m1_subset_1(X2,u1_struct_0(esk1_0))
| ~ r2_hidden(X2,X1) ),
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_44,c_0_24]),c_0_18]),c_0_19]),c_0_20])]),c_0_16]),c_0_21]) ).
cnf(c_0_49,negated_conjecture,
v1_filter_0(esk3_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_50,negated_conjecture,
m1_filter_0(esk3_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_51,negated_conjecture,
r2_hidden(esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_52,plain,
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_53,negated_conjecture,
v1_xboole_0(u1_struct_0(esk1_0)),
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_47,c_0_48]),c_0_49]),c_0_50]),c_0_28]),c_0_51])]) ).
cnf(c_0_54,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_19]),c_0_20])]),c_0_21]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : LAT289+4 : TPTP v8.1.2. Released v3.4.0.
% 0.06/0.11 % Command : run_E %s %d THM
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 2400
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Mon Oct 2 10:01:09 EDT 2023
% 0.10/0.30 % CPUTime :
% 2.21/2.38 Running first-order model finding
% 2.21/2.38 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.lteeFLXKKr/E---3.1_26572.p
% 1162.64/151.16 # Version: 3.1pre001
% 1162.64/151.16 # Preprocessing class: FMLLMLLLSSSNFFN.
% 1162.64/151.16 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1162.64/151.16 # Starting new_bool_3 with 900s (3) cores
% 1162.64/151.16 # Starting new_bool_1 with 900s (3) cores
% 1162.64/151.16 # Starting sh5l with 300s (1) cores
% 1162.64/151.16 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 300s (1) cores
% 1162.64/151.16 # G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with pid 26655 completed with status 0
% 1162.64/151.16 # Result found by G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y
% 1162.64/151.16 # Preprocessing class: FMLLMLLLSSSNFFN.
% 1162.64/151.16 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1162.64/151.16 # Starting new_bool_3 with 900s (3) cores
% 1162.64/151.16 # Starting new_bool_1 with 900s (3) cores
% 1162.64/151.16 # Starting sh5l with 300s (1) cores
% 1162.64/151.16 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 300s (1) cores
% 1162.64/151.16 # SinE strategy is gf120_h_gu_R02_F100_L20000
% 1162.64/151.16 # Search class: FGHSM-FSLM31-MFFFFFNN
% 1162.64/151.16 # Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 1162.64/151.16 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 135s (1) cores
% 1162.64/151.16 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with pid 26664 completed with status 7
% 1162.64/151.16 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 31s (1) cores
% 1162.64/151.16 # G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with pid 28113 completed with status 0
% 1162.64/151.16 # Result found by G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y
% 1162.64/151.16 # Preprocessing class: FMLLMLLLSSSNFFN.
% 1162.64/151.16 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1162.64/151.16 # Starting new_bool_3 with 900s (3) cores
% 1162.64/151.16 # Starting new_bool_1 with 900s (3) cores
% 1162.64/151.16 # Starting sh5l with 300s (1) cores
% 1162.64/151.16 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 300s (1) cores
% 1162.64/151.16 # SinE strategy is gf120_h_gu_R02_F100_L20000
% 1162.64/151.16 # Search class: FGHSM-FSLM31-MFFFFFNN
% 1162.64/151.16 # Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 1162.64/151.16 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 135s (1) cores
% 1162.64/151.16 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with pid 26664 completed with status 7
% 1162.64/151.16 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 31s (1) cores
% 1162.64/151.16 # Preprocessing time : 0.017 s
% 1162.64/151.16
% 1162.64/151.16 # Proof found!
% 1162.64/151.16 # SZS status Theorem
% 1162.64/151.16 # SZS output start CNFRefutation
% See solution above
% 1162.64/151.16 # Parsed axioms : 32158
% 1162.64/151.16 # Removed by relevancy pruning/SinE : 31937
% 1162.64/151.16 # Initial clauses : 462
% 1162.64/151.16 # Removed in clause preprocessing : 25
% 1162.64/151.16 # Initial clauses in saturation : 437
% 1162.64/151.16 # Processed clauses : 21380
% 1162.64/151.16 # ...of these trivial : 88
% 1162.64/151.16 # ...subsumed : 16658
% 1162.64/151.16 # ...remaining for further processing : 4634
% 1162.64/151.16 # Other redundant clauses eliminated : 261
% 1162.64/151.16 # Clauses deleted for lack of memory : 0
% 1162.64/151.16 # Backward-subsumed : 430
% 1162.64/151.16 # Backward-rewritten : 221
% 1162.64/151.16 # Generated clauses : 204124
% 1162.64/151.16 # ...of the previous two non-redundant : 197563
% 1162.64/151.16 # ...aggressively subsumed : 0
% 1162.64/151.16 # Contextual simplify-reflections : 541
% 1162.64/151.16 # Paramodulations : 203845
% 1162.64/151.16 # Factorizations : 3
% 1162.64/151.16 # NegExts : 0
% 1162.64/151.16 # Equation resolutions : 279
% 1162.64/151.16 # Total rewrite steps : 25071
% 1162.64/151.16 # Propositional unsat checks : 0
% 1162.64/151.16 # Propositional check models : 0
% 1162.64/151.16 # Propositional check unsatisfiable : 0
% 1162.64/151.16 # Propositional clauses : 0
% 1162.64/151.16 # Propositional clauses after purity: 0
% 1162.64/151.16 # Propositional unsat core size : 0
% 1162.64/151.16 # Propositional preprocessing time : 0.000
% 1162.64/151.16 # Propositional encoding time : 0.000
% 1162.64/151.16 # Propositional solver time : 0.000
% 1162.64/151.16 # Success case prop preproc time : 0.000
% 1162.64/151.16 # Success case prop encoding time : 0.000
% 1162.64/151.16 # Success case prop solver time : 0.000
% 1162.64/151.16 # Current number of processed clauses : 3946
% 1162.64/151.16 # Positive orientable unit clauses : 107
% 1162.64/151.16 # Positive unorientable unit clauses: 0
% 1162.64/151.16 # Negative unit clauses : 139
% 1162.64/151.16 # Non-unit-clauses : 3700
% 1162.64/151.16 # Current number of unprocessed clauses: 175953
% 1162.64/151.16 # ...number of literals in the above : 1712967
% 1162.64/151.16 # Current number of archived formulas : 0
% 1162.64/151.16 # Current number of archived clauses : 651
% 1162.64/151.16 # Clause-clause subsumption calls (NU) : 5518774
% 1162.64/151.16 # Rec. Clause-clause subsumption calls : 797158
% 1162.64/151.16 # Non-unit clause-clause subsumptions : 12080
% 1162.64/151.16 # Unit Clause-clause subsumption calls : 23296
% 1162.64/151.16 # Rewrite failures with RHS unbound : 0
% 1162.64/151.16 # BW rewrite match attempts : 36
% 1162.64/151.16 # BW rewrite match successes : 24
% 1162.64/151.16 # Condensation attempts : 0
% 1162.64/151.16 # Condensation successes : 0
% 1162.64/151.16 # Termbank termtop insertions : 7464798
% 1162.64/151.16
% 1162.64/151.16 # -------------------------------------------------
% 1162.64/151.16 # User time : 142.880 s
% 1162.64/151.16 # System time : 2.272 s
% 1162.64/151.16 # Total time : 145.152 s
% 1162.64/151.16 # Maximum resident set size: 62272 pages
% 1162.64/151.16
% 1162.64/151.16 # -------------------------------------------------
% 1162.64/151.16 # User time : 143.632 s
% 1162.64/151.16 # System time : 2.323 s
% 1162.64/151.16 # Total time : 145.955 s
% 1162.64/151.16 # Maximum resident set size: 49596 pages
% 1162.64/151.16 % E---3.1 exiting
%------------------------------------------------------------------------------