%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LAT289+1 : TPTP v9.2.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n001.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 : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:37:55 PM UTC 2026
% Result : Theorem 1.75s 1.86s
% Output : CNFRefutation 1.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 68 ( 25 unt; 0 def)
% Number of atoms : 297 ( 10 equ)
% Maximal formula atoms : 28 ( 4 avg)
% Number of connectives : 362 ( 133 ~; 124 |; 77 &)
% ( 3 <=>; 25 =>; 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 : 12 ( 12 usr; 3 con; 0-4 aty)
% Number of variables : 92 ( 2 sgn 60 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(existence_m1_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ? [X2] : m1_filter_0(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_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/benchmark/theBenchmark.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/benchmark/theBenchmark.p',redefinition_k9_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/benchmark/theBenchmark.p',dt_m1_filter_0) ).
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/benchmark/theBenchmark.p',dt_k9_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/benchmark/theBenchmark.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/benchmark/theBenchmark.p',t2_subset) ).
fof(existence_m1_subset_1,axiom,
! [X1] :
? [X2] : m1_subset_1(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
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/benchmark/theBenchmark.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/benchmark/theBenchmark.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/benchmark/theBenchmark.p',t21_lopclset) ).
fof(c_0_11,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ? [X2] : m1_filter_0(X2,X1) ),
inference(fof_simplification,[status(thm)],[existence_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,
! [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_14,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_15,plain,
! [X251] :
( v3_struct_0(X251)
| ~ v10_lattices(X251)
| ~ l3_lattices(X251)
| m1_filter_0(esk21_1(X251),X251) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])]) ).
fof(c_0_16,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_17,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]) ).
fof(c_0_18,plain,
! [X259] :
( v3_struct_0(X259)
| ~ v10_lattices(X259)
| ~ v17_lattices(X259)
| v3_realset2(X259)
| ~ l3_lattices(X259)
| k9_lopclset(X259) = k8_lopclset(X259) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])]) ).
fof(c_0_19,plain,
! [X268,X269] :
( ( ~ v1_xboole_0(X269)
| ~ m1_filter_0(X269,X268)
| v3_struct_0(X268)
| ~ v10_lattices(X268)
| ~ l3_lattices(X268) )
& ( m1_subset_1(X269,k1_zfmisc_1(u1_struct_0(X268)))
| ~ m1_filter_0(X269,X268)
| v3_struct_0(X268)
| ~ v10_lattices(X268)
| ~ l3_lattices(X268) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])]) ).
cnf(c_0_20,plain,
( v3_struct_0(X1)
| m1_filter_0(esk21_1(X1),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_22,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_24,plain,
! [X266] :
( ( v1_funct_1(k9_lopclset(X266))
| v3_struct_0(X266)
| ~ v10_lattices(X266)
| ~ v17_lattices(X266)
| v3_realset2(X266)
| ~ l3_lattices(X266) )
& ( v1_funct_2(k9_lopclset(X266),u1_struct_0(X266),k1_zfmisc_1(k7_lopclset(X266)))
| v3_struct_0(X266)
| ~ v10_lattices(X266)
| ~ v17_lattices(X266)
| v3_realset2(X266)
| ~ l3_lattices(X266) )
& ( m2_relset_1(k9_lopclset(X266),u1_struct_0(X266),k1_zfmisc_1(k7_lopclset(X266)))
| v3_struct_0(X266)
| ~ v10_lattices(X266)
| ~ v17_lattices(X266)
| v3_realset2(X266)
| ~ l3_lattices(X266) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])]) ).
cnf(c_0_25,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_18]) ).
cnf(c_0_26,negated_conjecture,
v17_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_27,negated_conjecture,
~ v3_realset2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_28,plain,
! [X235,X236,X237] :
( ~ r2_hidden(X235,X236)
| ~ m1_subset_1(X236,k1_zfmisc_1(X237))
| ~ v1_xboole_0(X237) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).
cnf(c_0_29,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_19]) ).
cnf(c_0_30,negated_conjecture,
m1_filter_0(esk21_1(esk1_0),esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22])]),c_0_23]) ).
fof(c_0_31,plain,
! [X233,X234] :
( ~ m1_subset_1(X233,X234)
| v1_xboole_0(X234)
| r2_hidden(X233,X234) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
fof(c_0_32,plain,
! [X253] : m1_subset_1(esk22_1(X253),X253),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).
fof(c_0_33,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_34,plain,
! [X200,X201,X202] :
( ( ~ m2_relset_1(X202,X200,X201)
| m1_relset_1(X202,X200,X201) )
& ( ~ m1_relset_1(X202,X200,X201)
| m2_relset_1(X202,X200,X201) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
cnf(c_0_35,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_24]) ).
cnf(c_0_36,negated_conjecture,
k9_lopclset(esk1_0) = 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(spm,[status(thm)],[c_0_25,c_0_21]),c_0_26]),c_0_22])]),c_0_27]),c_0_23]) ).
cnf(c_0_37,plain,
( ~ r2_hidden(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ v1_xboole_0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_38,negated_conjecture,
m1_subset_1(esk21_1(esk1_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_29,c_0_30]),c_0_21]),c_0_22])]),c_0_23]) ).
cnf(c_0_39,plain,
( v1_xboole_0(X2)
| r2_hidden(X1,X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_40,plain,
m1_subset_1(esk22_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_41,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_19]) ).
fof(c_0_42,plain,
! [X255,X256,X257,X258] :
( v1_xboole_0(X255)
| ~ v1_funct_1(X257)
| ~ v1_funct_2(X257,X255,X256)
| ~ m1_relset_1(X257,X255,X256)
| ~ m1_subset_1(X258,X255)
| k8_funct_2(X255,X256,X257,X258) = k1_funct_1(X257,X258) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])]) ).
cnf(c_0_43,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_24]) ).
cnf(c_0_44,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_24]) ).
cnf(c_0_45,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_46,negated_conjecture,
m2_relset_1(k8_lopclset(esk1_0),u1_struct_0(esk1_0),k1_zfmisc_1(k7_lopclset(esk1_0))),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_21]),c_0_26]),c_0_22])]),c_0_27]),c_0_23]),c_0_36]) ).
cnf(c_0_47,negated_conjecture,
( ~ v1_xboole_0(u1_struct_0(esk1_0))
| ~ r2_hidden(X1,esk21_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_48,plain,
( v1_xboole_0(X1)
| r2_hidden(esk22_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_49,negated_conjecture,
~ v1_xboole_0(esk21_1(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_30]),c_0_21]),c_0_22])]),c_0_23]) ).
fof(c_0_50,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_51,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_16]) ).
cnf(c_0_52,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_42]) ).
cnf(c_0_53,negated_conjecture,
v1_funct_2(k8_lopclset(esk1_0),u1_struct_0(esk1_0),k1_zfmisc_1(k7_lopclset(esk1_0))),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_21]),c_0_26]),c_0_22])]),c_0_27]),c_0_23]),c_0_36]) ).
cnf(c_0_54,negated_conjecture,
v1_funct_1(k8_lopclset(esk1_0)),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_21]),c_0_26]),c_0_22])]),c_0_27]),c_0_23]),c_0_36]) ).
cnf(c_0_55,negated_conjecture,
m1_relset_1(k8_lopclset(esk1_0),u1_struct_0(esk1_0),k1_zfmisc_1(k7_lopclset(esk1_0))),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_56,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]) ).
fof(c_0_57,plain,
! [X284,X285,X286] :
( ( v1_filter_0(X286,X284)
| ~ r2_hidden(X286,k1_funct_1(k8_lopclset(X284),X285))
| ~ m1_filter_0(X286,X284)
| ~ m1_subset_1(X285,u1_struct_0(X284))
| v3_struct_0(X284)
| ~ v10_lattices(X284)
| ~ v17_lattices(X284)
| v3_realset2(X284)
| ~ l3_lattices(X284) )
& ( r2_hidden(X285,X286)
| ~ r2_hidden(X286,k1_funct_1(k8_lopclset(X284),X285))
| ~ m1_filter_0(X286,X284)
| ~ m1_subset_1(X285,u1_struct_0(X284))
| v3_struct_0(X284)
| ~ v10_lattices(X284)
| ~ v17_lattices(X284)
| v3_realset2(X284)
| ~ l3_lattices(X284) )
& ( ~ v1_filter_0(X286,X284)
| ~ r2_hidden(X285,X286)
| r2_hidden(X286,k1_funct_1(k8_lopclset(X284),X285))
| ~ m1_filter_0(X286,X284)
| ~ m1_subset_1(X285,u1_struct_0(X284))
| v3_struct_0(X284)
| ~ v10_lattices(X284)
| ~ v17_lattices(X284)
| v3_realset2(X284)
| ~ l3_lattices(X284) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_50])])])]) ).
cnf(c_0_58,negated_conjecture,
~ r2_hidden(esk3_0,k8_funct_2(u1_struct_0(esk1_0),k1_zfmisc_1(k7_lopclset(esk1_0)),k8_lopclset(esk1_0),esk2_0)),
inference(rw,[status(thm)],[c_0_51,c_0_36]) ).
cnf(c_0_59,negated_conjecture,
( k8_funct_2(u1_struct_0(esk1_0),k1_zfmisc_1(k7_lopclset(esk1_0)),k8_lopclset(esk1_0),X1) = k1_funct_1(k8_lopclset(esk1_0),X1)
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54])]),c_0_55])]),c_0_56]) ).
cnf(c_0_60,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_61,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_57]) ).
cnf(c_0_62,negated_conjecture,
~ r2_hidden(esk3_0,k1_funct_1(k8_lopclset(esk1_0),esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60])]) ).
cnf(c_0_63,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_61,c_0_60]),c_0_21]),c_0_26]),c_0_22])]),c_0_27]),c_0_23]) ).
cnf(c_0_64,negated_conjecture,
r2_hidden(esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_65,negated_conjecture,
v1_filter_0(esk3_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_66,negated_conjecture,
m1_filter_0(esk3_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_67,negated_conjecture,
$false,
inference(cn,[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_64]),c_0_65]),c_0_66])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT289+1 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n001.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Mon May 4 21:02:33 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.75/1.86 % Version : CSE_E---1.7
% 1.75/1.86 % Problem : theBenchmark.p
% 1.75/1.86 % SZS status Theorem for theBenchmark.p
% 1.75/1.86 % SZS output start CNFRefutation
% See solution above
% 1.75/1.87 % Total time : 1.373s
%------------------------------------------------------------------------------