%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LAT289+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:04:42 PM UTC 2026
% Result : Theorem 0.08s 0.59s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of formulae : 69 ( 18 unt; 0 def)
% Number of atoms : 333 ( 8 equ)
% Maximal formula atoms : 28 ( 4 avg)
% Number of connectives : 422 ( 158 ~; 142 |; 91 &)
% ( 3 <=>; 28 =>; 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 : 11 ( 11 usr; 3 con; 0-4 aty)
% Number of variables : 100 ( 5 sgn 67 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t27_lopclset,conjecture,
! [X1] :
( ( l3_lattices(X1)
& ~ v3_realset2(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_filter_0(X3,X1)
=> ~ ( r2_hidden(X2,X3)
& ~ r2_hidden(X3,k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),X2))
& v1_filter_0(X3,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t27_lopclset) ).
fof(dt_m1_filter_0,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_filter_0) ).
fof(t5_subset,axiom,
! [X1,X2,X3] :
~ ( v1_xboole_0(X3)
& m1_subset_1(X2,k1_zfmisc_1(X3))
& r2_hidden(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset) ).
fof(t2_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,X2)
=> ( r2_hidden(X1,X2)
| v1_xboole_0(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(existence_m1_subset_1,axiom,
! [X1] :
? [X2] : m1_subset_1(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( v1_xboole_0(X2)
& r2_hidden(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(redefinition_k8_funct_2,axiom,
! [X1,X2,X3,X4] :
( ( m1_subset_1(X4,X1)
& m1_relset_1(X3,X1,X2)
& v1_funct_2(X3,X1,X2)
& v1_funct_1(X3)
& ~ v1_xboole_0(X1) )
=> k8_funct_2(X1,X2,X3,X4) = k1_funct_1(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k8_funct_2) ).
fof(dt_k9_lopclset,axiom,
! [X1] :
( ( l3_lattices(X1)
& ~ v3_realset2(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( m2_relset_1(k9_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)))
& v1_funct_2(k9_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)))
& v1_funct_1(k9_lopclset(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.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/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(redefinition_k9_lopclset,axiom,
! [X1] :
( ( l3_lattices(X1)
& ~ v3_realset2(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> k9_lopclset(X1) = k8_lopclset(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k9_lopclset) ).
fof(t21_lopclset,axiom,
! [X1] :
( ( l3_lattices(X1)
& ~ v3_realset2(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(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))
<=> ( r2_hidden(X2,X3)
& v1_filter_0(X3,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_lopclset) ).
fof(dt_k8_lopclset,axiom,
! [X1] :
( ( l3_lattices(X1)
& ~ v3_realset2(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v1_funct_1(k8_lopclset(X1))
& v1_relat_1(k8_lopclset(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_lopclset) ).
fof(c_0_12,negated_conjecture,
~ ! [X1] :
( ( l3_lattices(X1)
& ~ v3_realset2(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_filter_0(X3,X1)
=> ~ ( r2_hidden(X2,X3)
& ~ r2_hidden(X3,k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),X2))
& v1_filter_0(X3,X1) ) ) ) ),
inference(assume_negation,[status(cth)],[t27_lopclset]) ).
fof(c_0_13,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2) ) ) ),
inference(fof_simplification,[status(thm)],[dt_m1_filter_0]) ).
fof(c_0_14,negated_conjecture,
~ ! [X1] :
( ( l3_lattices(X1)
& ~ v3_realset2(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_filter_0(X3,X1)
=> ~ ( r2_hidden(X2,X3)
& ~ r2_hidden(X3,k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),X2))
& v1_filter_0(X3,X1) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_12]) ).
fof(c_0_15,plain,
! [X10,X11,X12] :
( ~ v1_xboole_0(X12)
| ~ m1_subset_1(X11,k1_zfmisc_1(X12))
| ~ r2_hidden(X10,X11) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])])]) ).
fof(c_0_16,plain,
! [X40,X41] :
( ( ~ l3_lattices(X40)
| ~ v10_lattices(X40)
| v3_struct_0(X40)
| ~ m1_filter_0(X41,X40)
| m1_subset_1(X41,k1_zfmisc_1(u1_struct_0(X40))) )
& ( ~ l3_lattices(X40)
| ~ v10_lattices(X40)
| v3_struct_0(X40)
| ~ m1_filter_0(X41,X40)
| ~ v1_xboole_0(X41) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])])]) ).
fof(c_0_17,plain,
! [X8,X9] :
( r2_hidden(X8,X9)
| v1_xboole_0(X9)
| ~ m1_subset_1(X8,X9) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])])]) ).
fof(c_0_18,negated_conjecture,
( r2_hidden(esk2_0,esk3_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))
& v1_filter_0(esk3_0,esk1_0)
& m1_filter_0(esk3_0,esk1_0)
& m1_subset_1(esk2_0,u1_struct_0(esk1_0))
& l3_lattices(esk1_0)
& ~ v3_realset2(esk1_0)
& v17_lattices(esk1_0)
& v10_lattices(esk1_0)
& ~ v3_struct_0(esk1_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])]) ).
cnf(c_0_19,plain,
( ~ v1_xboole_0(X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,plain,
( ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_filter_0(X1,X2)
| v3_struct_0(X2)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_21,plain,
( ~ m1_subset_1(X1,X2)
| r2_hidden(X1,X2)
| v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_22,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_23,plain,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_0(X3,X1)
| ~ r2_hidden(X2,X3)
| ~ v1_xboole_0(u1_struct_0(X1))
| v3_struct_0(X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,negated_conjecture,
( r2_hidden(esk2_0,u1_struct_0(esk1_0))
| v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_25,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_26,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_27,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_28,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_29,plain,
! [X23,X24] :
( ~ v1_xboole_0(X24)
| ~ r2_hidden(X23,X24) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])])]) ).
cnf(c_0_30,negated_conjecture,
( ~ m1_filter_0(X2,esk1_0)
| ~ r2_hidden(X1,X2)
| r2_hidden(esk2_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_23,c_0_24]),c_0_25]),c_0_26])]),c_0_27]) ).
cnf(c_0_31,negated_conjecture,
m1_filter_0(esk3_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_32,plain,
m1_subset_1(esk8_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_33,plain,
( ~ v1_xboole_0(X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_34,negated_conjecture,
r2_hidden(esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_35,plain,
! [X1,X2,X3,X4] :
( ( m1_subset_1(X4,X1)
& m1_relset_1(X3,X1,X2)
& v1_funct_2(X3,X1,X2)
& v1_funct_1(X3)
& ~ v1_xboole_0(X1) )
=> k8_funct_2(X1,X2,X3,X4) = k1_funct_1(X3,X4) ),
inference(fof_simplification,[status(thm)],[redefinition_k8_funct_2]) ).
cnf(c_0_36,negated_conjecture,
( ~ r2_hidden(X1,esk3_0)
| r2_hidden(esk2_0,u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_37,plain,
( r2_hidden(esk8_1(X1),X1)
| v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_32]) ).
cnf(c_0_38,negated_conjecture,
~ v1_xboole_0(esk3_0),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
fof(c_0_39,plain,
! [X25,X26,X27,X28] :
( k8_funct_2(X25,X26,X27,X28) = k1_funct_1(X27,X28)
| ~ m1_subset_1(X28,X25)
| ~ m1_relset_1(X27,X25,X26)
| ~ v1_funct_2(X27,X25,X26)
| ~ v1_funct_1(X27)
| v1_xboole_0(X25) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])]) ).
cnf(c_0_40,negated_conjecture,
r2_hidden(esk2_0,u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]) ).
fof(c_0_41,plain,
! [X1] :
( ( l3_lattices(X1)
& ~ v3_realset2(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( m2_relset_1(k9_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)))
& v1_funct_2(k9_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)))
& v1_funct_1(k9_lopclset(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k9_lopclset]) ).
cnf(c_0_42,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_18]) ).
cnf(c_0_43,plain,
( ~ m1_subset_1(X4,X1)
| ~ m1_relset_1(X2,X1,X3)
| ~ v1_funct_2(X2,X1,X3)
| ~ v1_funct_1(X2)
| k8_funct_2(X1,X3,X2,X4) = k1_funct_1(X2,X4)
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_44,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_33,c_0_40]) ).
fof(c_0_45,plain,
! [X34] :
( ( ~ l3_lattices(X34)
| v3_realset2(X34)
| ~ v17_lattices(X34)
| ~ v10_lattices(X34)
| v3_struct_0(X34)
| m2_relset_1(k9_lopclset(X34),u1_struct_0(X34),k1_zfmisc_1(k7_lopclset(X34))) )
& ( ~ l3_lattices(X34)
| v3_realset2(X34)
| ~ v17_lattices(X34)
| ~ v10_lattices(X34)
| v3_struct_0(X34)
| v1_funct_2(k9_lopclset(X34),u1_struct_0(X34),k1_zfmisc_1(k7_lopclset(X34))) )
& ( ~ l3_lattices(X34)
| v3_realset2(X34)
| ~ v17_lattices(X34)
| ~ v10_lattices(X34)
| v3_struct_0(X34)
| v1_funct_1(k9_lopclset(X34)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])])])]) ).
fof(c_0_46,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(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])])]) ).
cnf(c_0_47,negated_conjecture,
( ~ r2_hidden(esk3_0,k1_funct_1(k9_lopclset(esk1_0),esk2_0))
| ~ m1_relset_1(k9_lopclset(esk1_0),u1_struct_0(esk1_0),k1_zfmisc_1(k7_lopclset(esk1_0)))
| ~ v1_funct_1(k9_lopclset(esk1_0))
| ~ v1_funct_2(k9_lopclset(esk1_0),u1_struct_0(esk1_0),k1_zfmisc_1(k7_lopclset(esk1_0))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_22])]),c_0_44]) ).
cnf(c_0_48,plain,
( ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_realset2(X1)
| v3_struct_0(X1)
| v1_funct_2(k9_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_49,negated_conjecture,
v17_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_50,negated_conjecture,
~ v3_realset2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_51,plain,
( ~ m2_relset_1(X1,X2,X3)
| m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_52,plain,
( ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_realset2(X1)
| v3_struct_0(X1)
| m2_relset_1(k9_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
fof(c_0_53,plain,
! [X1] :
( ( l3_lattices(X1)
& ~ v3_realset2(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> k9_lopclset(X1) = k8_lopclset(X1) ),
inference(fof_simplification,[status(thm)],[redefinition_k9_lopclset]) ).
cnf(c_0_54,negated_conjecture,
( ~ r2_hidden(esk3_0,k1_funct_1(k9_lopclset(esk1_0),esk2_0))
| ~ m1_relset_1(k9_lopclset(esk1_0),u1_struct_0(esk1_0),k1_zfmisc_1(k7_lopclset(esk1_0)))
| ~ 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_47,c_0_48]),c_0_25]),c_0_49]),c_0_26])]),c_0_50]),c_0_27]) ).
cnf(c_0_55,plain,
( ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| v3_realset2(X1)
| m1_relset_1(k9_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1))) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
fof(c_0_56,plain,
! [X33] :
( k9_lopclset(X33) = k8_lopclset(X33)
| ~ l3_lattices(X33)
| v3_realset2(X33)
| ~ v17_lattices(X33)
| ~ v10_lattices(X33)
| v3_struct_0(X33) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])])]) ).
fof(c_0_57,plain,
! [X1] :
( ( l3_lattices(X1)
& ~ v3_realset2(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(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))
<=> ( r2_hidden(X2,X3)
& v1_filter_0(X3,X1) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t21_lopclset]) ).
cnf(c_0_58,negated_conjecture,
( ~ r2_hidden(esk3_0,k1_funct_1(k9_lopclset(esk1_0),esk2_0))
| ~ 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_54,c_0_55]),c_0_25]),c_0_49]),c_0_26])]),c_0_50]),c_0_27]) ).
cnf(c_0_59,plain,
( ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| k9_lopclset(X1) = k8_lopclset(X1)
| v3_realset2(X1)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
fof(c_0_60,plain,
! [X46,X47,X48] :
( ( ~ l3_lattices(X46)
| v3_realset2(X46)
| ~ v17_lattices(X46)
| ~ v10_lattices(X46)
| v3_struct_0(X46)
| ~ m1_subset_1(X47,u1_struct_0(X46))
| ~ m1_filter_0(X48,X46)
| r2_hidden(X48,k1_funct_1(k8_lopclset(X46),X47))
| ~ r2_hidden(X47,X48)
| ~ v1_filter_0(X48,X46) )
& ( ~ l3_lattices(X46)
| v3_realset2(X46)
| ~ v17_lattices(X46)
| ~ v10_lattices(X46)
| v3_struct_0(X46)
| ~ m1_subset_1(X47,u1_struct_0(X46))
| ~ m1_filter_0(X48,X46)
| ~ r2_hidden(X48,k1_funct_1(k8_lopclset(X46),X47))
| r2_hidden(X47,X48) )
& ( ~ l3_lattices(X46)
| v3_realset2(X46)
| ~ v17_lattices(X46)
| ~ v10_lattices(X46)
| v3_struct_0(X46)
| ~ m1_subset_1(X47,u1_struct_0(X46))
| ~ m1_filter_0(X48,X46)
| ~ r2_hidden(X48,k1_funct_1(k8_lopclset(X46),X47))
| v1_filter_0(X48,X46) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_57])])])])]) ).
fof(c_0_61,plain,
! [X1] :
( ( l3_lattices(X1)
& ~ v3_realset2(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v1_funct_1(k8_lopclset(X1))
& v1_relat_1(k8_lopclset(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k8_lopclset]) ).
cnf(c_0_62,negated_conjecture,
( ~ r2_hidden(esk3_0,k1_funct_1(k8_lopclset(esk1_0),esk2_0))
| ~ v1_funct_1(k8_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_58,c_0_59]),c_0_25]),c_0_49]),c_0_26])]),c_0_50]),c_0_27]) ).
cnf(c_0_63,plain,
( ~ l3_lattices(X2)
| ~ v17_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_filter_0(X1,X2)
| ~ r2_hidden(X3,X1)
| ~ v1_filter_0(X1,X2)
| v3_realset2(X2)
| v3_struct_0(X2)
| r2_hidden(X1,k1_funct_1(k8_lopclset(X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_64,negated_conjecture,
v1_filter_0(esk3_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_65,plain,
! [X59] :
( ( ~ l3_lattices(X59)
| v3_realset2(X59)
| ~ v17_lattices(X59)
| ~ v10_lattices(X59)
| v3_struct_0(X59)
| v1_funct_1(k8_lopclset(X59)) )
& ( ~ l3_lattices(X59)
| v3_realset2(X59)
| ~ v17_lattices(X59)
| ~ v10_lattices(X59)
| v3_struct_0(X59)
| v1_relat_1(k8_lopclset(X59)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_61])])])]) ).
cnf(c_0_66,negated_conjecture,
~ v1_funct_1(k8_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_34]),c_0_64]),c_0_31]),c_0_22]),c_0_25]),c_0_49]),c_0_26])]),c_0_50]),c_0_27]) ).
cnf(c_0_67,plain,
( ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_realset2(X1)
| v3_struct_0(X1)
| v1_funct_1(k8_lopclset(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_68,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(spm,[status(thm)],[c_0_66,c_0_67]),c_0_25]),c_0_49]),c_0_26])]),c_0_50]),c_0_27]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LAT289+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.02 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.48 % Computer : n012.cluster.edu
% 0.04/0.48 % Model : x86_64 x86_64
% 0.04/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.48 % Memory : 8046.5625MB
% 0.04/0.48 % OS : Linux 6.8.0-71-generic
% 0.04/0.48 % CPULimit : 300
% 0.04/0.48 % WCLimit : 300
% 0.04/0.48 % DateTime : Sun Sep 20 23:26:25 UTC 2026
% 0.04/0.48 % CPUTime :
% 0.04/0.48 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.50 Running first-order theorem proving
% 0.04/0.50 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.08/0.59 % Version: 3.5.1
% 0.08/0.59 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.08/0.59 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.59 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.08/0.59 % Starting new_bool_3 with 300s (1) cores
% 0.08/0.59 % Starting new_bool_1 with 300s (1) cores
% 0.08/0.59 % Starting sh5l with 300s (1) cores
% 0.08/0.59 % new_bool_3 with pid 1075115 completed with status 0
% 0.08/0.59 % Result found by new_bool_3
% 0.08/0.59 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.08/0.59 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.59 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.08/0.59 % Starting new_bool_3 with 300s (1) cores
% 0.08/0.59 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.08/0.59 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.08/0.59 % Search class: FGHSM-FFMM31-MFFFFFNN
% 0.08/0.59 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.08/0.59 % Starting SubtermCWHack with 28s (1) cores
% 0.08/0.59 % SubtermCWHack with pid 1075119 completed with status 0
% 0.08/0.59 % Result found by SubtermCWHack
% 0.08/0.59 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.08/0.59 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.59 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.08/0.59 % Starting new_bool_3 with 300s (1) cores
% 0.08/0.59 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.08/0.59 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.08/0.59 % Search class: FGHSM-FFMM31-MFFFFFNN
% 0.08/0.59 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.08/0.59 % Starting SubtermCWHack with 28s (1) cores
% 0.08/0.59 % Preprocessing time : 0.001 s
% 0.08/0.59
% 0.08/0.59 % Proof found!
% 0.08/0.59 % SZS status Theorem
% 0.08/0.59 % SZS output start CNFRefutation
% See solution above
% 0.08/0.59 % Parsed axioms : 87
% 0.08/0.59 % Removed by relevancy pruning/SinE : 52
% 0.08/0.59 % Initial clauses : 62
% 0.08/0.59 % Removed in clause preprocessing : 0
% 0.08/0.59 % Initial clauses in saturation : 62
% 0.08/0.59 % Processed clauses : 1148
% 0.08/0.59 % ...of these trivial : 0
% 0.08/0.59 % ...subsumed : 705
% 0.08/0.59 % ...remaining for further processing : 443
% 0.08/0.59 % Other redundant clauses eliminated : 1
% 0.08/0.59 % Clauses deleted for lack of memory : 0
% 0.08/0.59 % Backward-subsumed : 14
% 0.08/0.59 % Backward-rewritten : 39
% 0.08/0.59 % Generated clauses : 5493
% 0.08/0.59 % ...of the previous two non-redundant : 5431
% 0.08/0.59 % ...aggressively subsumed : 0
% 0.08/0.59 % Contextual simplify-reflections : 16
% 0.08/0.59 % Paramodulations : 5486
% 0.08/0.59 % Factorizations : 6
% 0.08/0.59 % NegExts : 0
% 0.08/0.59 % Equation resolutions : 1
% 0.08/0.59 % Disequality decompositions : 0
% 0.08/0.59 % Total rewrite steps : 105
% 0.08/0.59 % ...of those cached : 88
% 0.08/0.59 % Propositional unsat checks : 0
% 0.08/0.59 % Propositional check models : 0
% 0.08/0.59 % Propositional check unsatisfiable : 0
% 0.08/0.59 % Propositional clauses : 0
% 0.08/0.59 % Propositional clauses after purity: 0
% 0.08/0.59 % Propositional unsat core size : 0
% 0.08/0.59 % Propositional preprocessing time : 0.000
% 0.08/0.59 % Propositional encoding time : 0.000
% 0.08/0.59 % Propositional solver time : 0.000
% 0.08/0.59 % Success case prop preproc time : 0.000
% 0.08/0.59 % Success case prop encoding time : 0.000
% 0.08/0.59 % Success case prop solver time : 0.000
% 0.08/0.59 % Current number of processed clauses : 389
% 0.08/0.59 % Positive orientable unit clauses : 26
% 0.08/0.59 % Positive unorientable unit clauses: 0
% 0.08/0.59 % Negative unit clauses : 13
% 0.08/0.59 % Non-unit-clauses : 350
% 0.08/0.59 % Current number of unprocessed clauses: 4001
% 0.08/0.59 % ...number of literals in the above : 22417
% 0.08/0.59 % Current number of archived formulas : 0
% 0.08/0.59 % Current number of archived clauses : 53
% 0.08/0.59 % Clause-clause subsumption calls (NU) : 25375
% 0.08/0.59 % Rec. Clause-clause subsumption calls : 11647
% 0.08/0.59 % Non-unit clause-clause subsumptions : 729
% 0.08/0.59 % Unit Clause-clause subsumption calls : 67
% 0.08/0.59 % Rewrite failures with RHS unbound : 0
% 0.08/0.59 % BW rewrite match attempts : 2
% 0.08/0.59 % BW rewrite match successes : 2
% 0.08/0.59 % Condensation attempts : 0
% 0.08/0.59 % Condensation successes : 0
% 0.08/0.59 % Termbank termtop insertions : 109097
% 0.08/0.59 % Search garbage collected termcells : 1222
% 0.08/0.59
% 0.08/0.59 % -------------------------------------------------
% 0.08/0.59 % User time : 0.071 s
% 0.08/0.59 % System time : 0.008 s
% 0.08/0.59 % Total time : 0.079 s
% 0.08/0.59 % Maximum resident set size: 3984 pages
% 0.08/0.59
% 0.08/0.59 % -------------------------------------------------
% 0.08/0.59 % User time : 0.074 s
% 0.08/0.59 % System time : 0.009 s
% 0.08/0.59 % Total time : 0.083 s
% 0.08/0.59 % Maximum resident set size: 4608 pages
% 0.08/0.59 % E exiting
%------------------------------------------------------------------------------