%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LAT313+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 01:04:52 PM UTC 2026
% Result : Theorem 9.66s 2.42s
% Output : CNFRefutation 9.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 14
% Syntax : Number of formulae : 75 ( 16 unt; 0 def)
% Number of atoms : 280 ( 26 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 328 ( 123 ~; 107 |; 59 &)
% ( 3 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 96 ( 1 sgn 63 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t42_filter_2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2) )
=> ( ( r2_hidden(k6_lattices(X1),X2)
& v14_lattices(X1) )
=> ( k19_filter_2(X1,X2) = u1_struct_0(X1)
& r1_filter_2(u1_struct_0(X1),k19_filter_2(X1,X2),k17_filter_2(X1)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t42_filter_2) ).
fof(t43_filter_2,conjecture,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( ( r2_hidden(k6_lattices(X1),X2)
& v14_lattices(X1) )
=> ( X2 = u1_struct_0(X1)
& r1_filter_2(u1_struct_0(X1),X2,k17_filter_2(X1)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t43_filter_2) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( v1_xboole_0(X2)
& r2_hidden(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+3.ax',t7_boole) ).
fof(dt_m2_lattice4,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_lattice4(X2,X1)
=> m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+375.ax',dt_m2_lattice4) ).
fof(fc1_struct_0,axiom,
! [X1] :
( ( l1_struct_0(X1)
& ~ v3_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+200.ax',fc1_struct_0) ).
fof(dt_l1_lattices,axiom,
! [X1] :
( l1_lattices(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+205.ax',dt_l1_lattices) ).
fof(dt_l3_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( l2_lattices(X1)
& l1_lattices(X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+205.ax',dt_l3_lattices) ).
fof(t38_filter_2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> r1_filter_2(u1_struct_0(X1),k19_filter_2(X1,X2),X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t38_filter_2) ).
fof(t37_zfmisc_1,axiom,
! [X1,X2] :
( r1_tarski(k1_tarski(X1),X2)
<=> r2_hidden(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+6.ax',t37_zfmisc_1) ).
fof(t80_zfmisc_1,axiom,
! [X1] : r1_tarski(k1_tarski(X1),k1_zfmisc_1(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+6.ax',t80_zfmisc_1) ).
fof(redefinition_r1_filter_2,axiom,
! [X1,X2,X3] :
( ( m1_subset_1(X3,k1_zfmisc_1(X1))
& m1_subset_1(X2,k1_zfmisc_1(X1))
& ~ v1_xboole_0(X1) )
=> ( r1_filter_2(X1,X2,X3)
<=> X2 = X3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_r1_filter_2) ).
fof(t1_subset,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> m1_subset_1(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+9.ax',t1_subset) ).
fof(d8_filter_2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> k17_filter_2(X1) = u1_struct_0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_filter_2) ).
fof(dt_m2_filter_2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( m2_lattice4(X2,X1)
& ~ v1_xboole_0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_filter_2) ).
fof(c_0_14,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2) )
=> ( ( r2_hidden(k6_lattices(X1),X2)
& v14_lattices(X1) )
=> ( k19_filter_2(X1,X2) = u1_struct_0(X1)
& r1_filter_2(u1_struct_0(X1),k19_filter_2(X1,X2),k17_filter_2(X1)) ) ) ) ),
inference(fof_simplification,[status(thm)],[t42_filter_2]) ).
fof(c_0_15,negated_conjecture,
~ ! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( ( r2_hidden(k6_lattices(X1),X2)
& v14_lattices(X1) )
=> ( X2 = u1_struct_0(X1)
& r1_filter_2(u1_struct_0(X1),X2,k17_filter_2(X1)) ) ) ) ),
inference(assume_negation,[status(cth)],[t43_filter_2]) ).
fof(c_0_16,plain,
! [X39,X40] :
( ( ~ l3_lattices(X39)
| ~ v10_lattices(X39)
| v3_struct_0(X39)
| ~ m1_subset_1(X40,k1_zfmisc_1(u1_struct_0(X39)))
| v1_xboole_0(X40)
| ~ r2_hidden(k6_lattices(X39),X40)
| ~ v14_lattices(X39)
| k19_filter_2(X39,X40) = u1_struct_0(X39) )
& ( ~ l3_lattices(X39)
| ~ v10_lattices(X39)
| v3_struct_0(X39)
| ~ m1_subset_1(X40,k1_zfmisc_1(u1_struct_0(X39)))
| v1_xboole_0(X40)
| ~ r2_hidden(k6_lattices(X39),X40)
| ~ v14_lattices(X39)
| r1_filter_2(u1_struct_0(X39),k19_filter_2(X39,X40),k17_filter_2(X39)) ) ),
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_14])])])])]) ).
fof(c_0_17,plain,
! [X50,X51] :
( ~ v1_xboole_0(X51)
| ~ r2_hidden(X50,X51) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])])]) ).
fof(c_0_18,negated_conjecture,
~ ! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( ( r2_hidden(k6_lattices(X1),X2)
& v14_lattices(X1) )
=> ( X2 = u1_struct_0(X1)
& r1_filter_2(u1_struct_0(X1),X2,k17_filter_2(X1)) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_15]) ).
cnf(c_0_19,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r2_hidden(k6_lattices(X1),X2)
| ~ v14_lattices(X1)
| v3_struct_0(X1)
| v1_xboole_0(X2)
| k19_filter_2(X1,X2) = u1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_20,plain,
( ~ v1_xboole_0(X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_21,negated_conjecture,
( ( esk2_0 != u1_struct_0(esk1_0)
| ~ r1_filter_2(u1_struct_0(esk1_0),esk2_0,k17_filter_2(esk1_0)) )
& r2_hidden(k6_lattices(esk1_0),esk2_0)
& v14_lattices(esk1_0)
& m2_filter_2(esk2_0,esk1_0)
& l3_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_18])])])]) ).
fof(c_0_22,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_lattice4(X2,X1)
=> m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ),
inference(fof_simplification,[status(thm)],[dt_m2_lattice4]) ).
fof(c_0_23,plain,
! [X1] :
( ( l1_struct_0(X1)
& ~ v3_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[fc1_struct_0]) ).
fof(c_0_24,plain,
! [X1112] :
( l1_struct_0(X1112)
| ~ l1_lattices(X1112) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_lattices])])]) ).
fof(c_0_25,plain,
! [X361] :
( ( ~ l3_lattices(X361)
| l2_lattices(X361) )
& ( ~ l3_lattices(X361)
| l1_lattices(X361) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_lattices])])])]) ).
fof(c_0_26,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> r1_filter_2(u1_struct_0(X1),k19_filter_2(X1,X2),X2) ) ),
inference(fof_simplification,[status(thm)],[t38_filter_2]) ).
cnf(c_0_27,plain,
( ~ r2_hidden(k6_lattices(X1),X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v14_lattices(X1)
| v3_struct_0(X1)
| k19_filter_2(X1,X2) = u1_struct_0(X1) ),
inference(csr,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_28,negated_conjecture,
r2_hidden(k6_lattices(esk1_0),esk2_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_29,negated_conjecture,
v14_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_30,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_31,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_32,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_33,plain,
! [X536,X537] :
( m1_subset_1(X537,k1_zfmisc_1(u1_struct_0(X536)))
| ~ m2_lattice4(X537,X536)
| ~ l3_lattices(X536)
| ~ v10_lattices(X536)
| v3_struct_0(X536) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])])]) ).
fof(c_0_34,plain,
! [X622,X623] :
( ( r1_tarski(k1_tarski(X622),X623)
| ~ r2_hidden(X622,X623) )
& ( r2_hidden(X622,X623)
| ~ r1_tarski(k1_tarski(X622),X623) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t37_zfmisc_1])])]) ).
fof(c_0_35,plain,
! [X629] : r1_tarski(k1_tarski(X629),k1_zfmisc_1(X629)),
inference(variable_rename,[status(thm)],[t80_zfmisc_1]) ).
fof(c_0_36,plain,
! [X1049] :
( ~ v1_xboole_0(u1_struct_0(X1049))
| ~ l1_struct_0(X1049)
| v3_struct_0(X1049) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])]) ).
cnf(c_0_37,plain,
( ~ l1_lattices(X1)
| l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_38,plain,
( ~ l3_lattices(X1)
| l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_39,plain,
! [X1,X2,X3] :
( ( m1_subset_1(X3,k1_zfmisc_1(X1))
& m1_subset_1(X2,k1_zfmisc_1(X1))
& ~ v1_xboole_0(X1) )
=> ( r1_filter_2(X1,X2,X3)
<=> X2 = X3 ) ),
inference(fof_simplification,[status(thm)],[redefinition_r1_filter_2]) ).
fof(c_0_40,plain,
! [X31,X32] :
( r1_filter_2(u1_struct_0(X31),k19_filter_2(X31,X32),X32)
| ~ m2_filter_2(X32,X31)
| ~ l3_lattices(X31)
| ~ v10_lattices(X31)
| v3_struct_0(X31) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])]) ).
cnf(c_0_41,negated_conjecture,
( ~ m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
| k19_filter_2(esk1_0,esk2_0) = u1_struct_0(esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]),c_0_30]),c_0_31])]),c_0_32]) ).
cnf(c_0_42,plain,
( ~ m2_lattice4(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_43,plain,
! [X65,X66] :
( m1_subset_1(X65,X66)
| ~ r2_hidden(X65,X66) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])])]) ).
cnf(c_0_44,plain,
( ~ r1_tarski(k1_tarski(X1),X2)
| r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_45,plain,
r1_tarski(k1_tarski(X1),k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_46,plain,
( ~ v1_xboole_0(u1_struct_0(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_47,plain,
( ~ l3_lattices(X1)
| l1_struct_0(X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
fof(c_0_48,plain,
! [X23,X24,X25] :
( ( ~ m1_subset_1(X25,k1_zfmisc_1(X23))
| ~ m1_subset_1(X24,k1_zfmisc_1(X23))
| v1_xboole_0(X23)
| r1_filter_2(X23,X24,X25)
| X24 != X25 )
& ( ~ m1_subset_1(X25,k1_zfmisc_1(X23))
| ~ m1_subset_1(X24,k1_zfmisc_1(X23))
| v1_xboole_0(X23)
| X24 = X25
| ~ r1_filter_2(X23,X24,X25) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])])]) ).
cnf(c_0_49,plain,
( ~ m2_filter_2(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| r1_filter_2(u1_struct_0(X1),k19_filter_2(X1,X2),X2)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_50,negated_conjecture,
( ~ m2_lattice4(esk2_0,esk1_0)
| k19_filter_2(esk1_0,esk2_0) = u1_struct_0(esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_30]),c_0_31])]),c_0_32]) ).
cnf(c_0_51,negated_conjecture,
m2_filter_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_52,plain,
( ~ r2_hidden(X1,X2)
| m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_53,plain,
r2_hidden(X1,k1_zfmisc_1(X1)),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_54,plain,
( ~ v1_xboole_0(u1_struct_0(X1))
| ~ l3_lattices(X1)
| v3_struct_0(X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
fof(c_0_55,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> k17_filter_2(X1) = u1_struct_0(X1) ),
inference(fof_simplification,[status(thm)],[d8_filter_2]) ).
cnf(c_0_56,plain,
( ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ r1_filter_2(X1,X2,X3)
| v1_xboole_0(X1)
| X2 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_57,negated_conjecture,
( ~ m2_lattice4(esk2_0,esk1_0)
| r1_filter_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),esk2_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]),c_0_30]),c_0_31])]),c_0_32]) ).
cnf(c_0_58,plain,
m1_subset_1(X1,k1_zfmisc_1(X1)),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_59,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_31]),c_0_32]) ).
fof(c_0_60,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( m2_lattice4(X2,X1)
& ~ v1_xboole_0(X2) ) ) ),
inference(fof_simplification,[status(thm)],[dt_m2_filter_2]) ).
fof(c_0_61,plain,
! [X37] :
( k17_filter_2(X37) = u1_struct_0(X37)
| ~ l3_lattices(X37)
| ~ v10_lattices(X37)
| v3_struct_0(X37) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_55])])]) ).
cnf(c_0_62,negated_conjecture,
( ~ m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ m2_lattice4(esk2_0,esk1_0)
| u1_struct_0(esk1_0) = esk2_0 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58])]),c_0_59]) ).
fof(c_0_63,plain,
! [X126,X127] :
( ( ~ l3_lattices(X126)
| ~ v10_lattices(X126)
| v3_struct_0(X126)
| ~ m2_filter_2(X127,X126)
| m2_lattice4(X127,X126) )
& ( ~ l3_lattices(X126)
| ~ v10_lattices(X126)
| v3_struct_0(X126)
| ~ m2_filter_2(X127,X126)
| ~ v1_xboole_0(X127) ) ),
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_60])])])])]) ).
cnf(c_0_64,negated_conjecture,
( esk2_0 != u1_struct_0(esk1_0)
| ~ r1_filter_2(u1_struct_0(esk1_0),esk2_0,k17_filter_2(esk1_0)) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_65,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| k17_filter_2(X1) = u1_struct_0(X1)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_66,negated_conjecture,
( ~ m2_lattice4(esk2_0,esk1_0)
| u1_struct_0(esk1_0) = esk2_0 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_42]),c_0_30]),c_0_31])]),c_0_32]) ).
cnf(c_0_67,plain,
( ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m2_filter_2(X1,X2)
| v3_struct_0(X2)
| m2_lattice4(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_68,negated_conjecture,
( ~ r1_filter_2(u1_struct_0(esk1_0),esk2_0,u1_struct_0(esk1_0))
| u1_struct_0(esk1_0) != esk2_0 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_30]),c_0_31])]),c_0_32]) ).
cnf(c_0_69,negated_conjecture,
u1_struct_0(esk1_0) = esk2_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_51]),c_0_30]),c_0_31])]),c_0_32]) ).
cnf(c_0_70,plain,
( ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ m1_subset_1(X1,k1_zfmisc_1(X3))
| X1 != X2
| v1_xboole_0(X3)
| r1_filter_2(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_71,negated_conjecture,
~ r1_filter_2(esk2_0,esk2_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_69]),c_0_69]),c_0_69])]) ).
cnf(c_0_72,plain,
( ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| v1_xboole_0(X1)
| r1_filter_2(X1,X2,X2) ),
inference(er,[status(thm)],[c_0_70]) ).
cnf(c_0_73,negated_conjecture,
~ v1_xboole_0(esk2_0),
inference(spm,[status(thm)],[c_0_20,c_0_28]) ).
cnf(c_0_74,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_58])]),c_0_73]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT313+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.35 % Computer : n014.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 23:34:21 UTC 2026
% 0.12/0.35 % CPUTime :
% 0.12/0.35 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 Running first-order theorem proving
% 0.12/0.40 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 9.66/2.42 % Version: 3.5.1
% 9.66/2.42 % Preprocessing class: FMLLSMLLSSSNFFN.
% 9.66/2.42 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 9.66/2.42 % Starting new_bool_3 with 900s (3) cores
% 9.66/2.42 % Starting new_bool_1 with 900s (3) cores
% 9.66/2.42 % Starting sh5l with 300s (1) cores
% 9.66/2.42 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 9.66/2.42 % new_bool_3 with pid 2616524 completed with status 0
% 9.66/2.42 % Result found by new_bool_3
% 9.66/2.42 % Preprocessing class: FMLLSMLLSSSNFFN.
% 9.66/2.42 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 9.66/2.42 % Starting new_bool_3 with 900s (3) cores
% 9.66/2.42 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 9.66/2.42 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 9.66/2.42 % Search class: FGHSM-SMLM32-MFFFFFNN
% 9.66/2.42 % Scheduled 13 strats onto 3 cores with 900 seconds (900 total)
% 9.66/2.42 % Starting SubtermCWHack with 82s (1) cores
% 9.66/2.42 % Starting new_bool_3 with 91s (1) cores
% 9.66/2.42 % Starting C12_02_nc_SAT001_MinMin_p005000_rr with 68s (1) cores
% 9.66/2.42 % C12_02_nc_SAT001_MinMin_p005000_rr with pid 2616533 completed with status 0
% 9.66/2.42 % Result found by C12_02_nc_SAT001_MinMin_p005000_rr
% 9.66/2.42 % Preprocessing class: FMLLSMLLSSSNFFN.
% 9.66/2.42 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 9.66/2.42 % Starting new_bool_3 with 900s (3) cores
% 9.66/2.42 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 9.66/2.42 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 9.66/2.42 % Search class: FGHSM-SMLM32-MFFFFFNN
% 9.66/2.42 % Scheduled 13 strats onto 3 cores with 900 seconds (900 total)
% 9.66/2.42 % Starting SubtermCWHack with 82s (1) cores
% 9.66/2.42 % Starting new_bool_3 with 91s (1) cores
% 9.66/2.42 % Starting C12_02_nc_SAT001_MinMin_p005000_rr with 68s (1) cores
% 9.66/2.42 % Preprocessing time : 0.047 s
% 9.66/2.42 % Presaturation interreduction done
% 9.66/2.42
% 9.66/2.42 % Proof found!
% 9.66/2.42 % SZS status Theorem
% 9.66/2.42 % SZS output start CNFRefutation
% See solution above
% 9.66/2.42 % Parsed axioms : 13631
% 9.66/2.42 % Removed by relevancy pruning/SinE : 13003
% 9.66/2.42 % Initial clauses : 1536
% 9.66/2.42 % Removed in clause preprocessing : 74
% 9.66/2.42 % Initial clauses in saturation : 1462
% 9.66/2.42 % Processed clauses : 6385
% 9.66/2.42 % ...of these trivial : 92
% 9.66/2.42 % ...subsumed : 2527
% 9.66/2.42 % ...remaining for further processing : 3766
% 9.66/2.42 % Other redundant clauses eliminated : 128
% 9.66/2.42 % Clauses deleted for lack of memory : 0
% 9.66/2.42 % Backward-subsumed : 28
% 9.66/2.42 % Backward-rewritten : 170
% 9.66/2.42 % Generated clauses : 16828
% 9.66/2.42 % ...of the previous two non-redundant : 14781
% 9.66/2.42 % ...aggressively subsumed : 0
% 9.66/2.42 % Contextual simplify-reflections : 92
% 9.66/2.42 % Paramodulations : 16712
% 9.66/2.42 % Factorizations : 2
% 9.66/2.42 % NegExts : 0
% 9.66/2.42 % Equation resolutions : 131
% 9.66/2.42 % Disequality decompositions : 0
% 9.66/2.42 % Total rewrite steps : 2682
% 9.66/2.42 % ...of those cached : 2075
% 9.66/2.42 % Propositional unsat checks : 0
% 9.66/2.42 % Propositional check models : 0
% 9.66/2.42 % Propositional check unsatisfiable : 0
% 9.66/2.42 % Propositional clauses : 0
% 9.66/2.42 % Propositional clauses after purity: 0
% 9.66/2.42 % Propositional unsat core size : 0
% 9.66/2.42 % Propositional preprocessing time : 0.000
% 9.66/2.42 % Propositional encoding time : 0.000
% 9.66/2.42 % Propositional solver time : 0.000
% 9.66/2.42 % Success case prop preproc time : 0.000
% 9.66/2.42 % Success case prop encoding time : 0.000
% 9.66/2.42 % Success case prop solver time : 0.000
% 9.66/2.42 % Current number of processed clauses : 2113
% 9.66/2.42 % Positive orientable unit clauses : 362
% 9.66/2.42 % Positive unorientable unit clauses: 0
% 9.66/2.42 % Negative unit clauses : 369
% 9.66/2.42 % Non-unit-clauses : 1382
% 9.66/2.42 % Current number of unprocessed clauses: 11060
% 9.66/2.42 % ...number of literals in the above : 37302
% 9.66/2.42 % Current number of archived formulas : 0
% 9.66/2.42 % Current number of archived clauses : 1546
% 9.66/2.42 % Clause-clause subsumption calls (NU) : 1382324
% 9.66/2.42 % Rec. Clause-clause subsumption calls : 223776
% 9.66/2.42 % Non-unit clause-clause subsumptions : 1177
% 9.66/2.42 % Unit Clause-clause subsumption calls : 77139
% 9.66/2.42 % Rewrite failures with RHS unbound : 0
% 9.66/2.42 % BW rewrite match attempts : 1689
% 9.66/2.42 % BW rewrite match successes : 56
% 9.66/2.42 % Condensation attempts : 0
% 9.66/2.42 % Condensation successes : 0
% 9.66/2.42 % Termbank termtop insertions : 680497
% 9.66/2.42 % Search garbage collected termcells : 140474
% 9.66/2.42
% 9.66/2.42 % -------------------------------------------------
% 9.66/2.42 % User time : 1.320 s
% 9.66/2.42 % System time : 0.081 s
% 9.66/2.42 % Total time : 1.401 s
% 9.66/2.42 % Maximum resident set size: 28744 pages
% 9.66/2.42
% 9.66/2.42 % -------------------------------------------------
% 9.66/2.42 % User time : 4.129 s
% 9.66/2.42 % System time : 0.250 s
% 9.66/2.42 % Total time : 4.379 s
% 9.66/2.42 % Maximum resident set size: 23296 pages
% 9.66/2.42 % E exiting
%------------------------------------------------------------------------------