%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LAT313+4 : 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 : n010.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 24.32s 20.82s
% Output : CNFRefutation 24.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 13
% Syntax : Number of formulae : 72 ( 19 unt; 0 def)
% Number of atoms : 276 ( 29 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 324 ( 120 ~; 108 |; 59 &)
% ( 3 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-2 aty)
% Number of variables : 94 ( 1 sgn 61 !; 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/sandbox/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/sandbox/benchmark/theBenchmark.p',t43_filter_2) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( v1_xboole_0(X2)
& r2_hidden(X1,X2) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/SET007/SET007+375.ax',dt_m2_lattice4) ).
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/sandbox/benchmark/theBenchmark.p',dt_m2_filter_2) ).
fof(t28_filter_2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> m2_filter_2(u1_struct_0(X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t28_filter_2) ).
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/sandbox/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/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t37_zfmisc_1) ).
fof(t100_zfmisc_1,axiom,
! [X1] : r1_tarski(X1,k1_zfmisc_1(k3_tarski(X1))),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t100_zfmisc_1) ).
fof(t31_zfmisc_1,axiom,
! [X1] : k3_tarski(k1_tarski(X1)) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t31_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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',d8_filter_2) ).
fof(c_0_13,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_14,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_15,plain,
! [X76,X77] :
( ( ~ l3_lattices(X76)
| ~ v10_lattices(X76)
| v3_struct_0(X76)
| ~ m1_subset_1(X77,k1_zfmisc_1(u1_struct_0(X76)))
| v1_xboole_0(X77)
| ~ r2_hidden(k6_lattices(X76),X77)
| ~ v14_lattices(X76)
| k19_filter_2(X76,X77) = u1_struct_0(X76) )
& ( ~ l3_lattices(X76)
| ~ v10_lattices(X76)
| v3_struct_0(X76)
| ~ m1_subset_1(X77,k1_zfmisc_1(u1_struct_0(X76)))
| v1_xboole_0(X77)
| ~ r2_hidden(k6_lattices(X76),X77)
| ~ v14_lattices(X76)
| r1_filter_2(u1_struct_0(X76),k19_filter_2(X76,X77),k17_filter_2(X76)) ) ),
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_16,plain,
! [X87,X88] :
( ~ v1_xboole_0(X88)
| ~ r2_hidden(X87,X88) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])])]) ).
fof(c_0_17,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_14]) ).
cnf(c_0_18,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_15]) ).
cnf(c_0_19,plain,
( ~ v1_xboole_0(X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_20,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_17])])])]) ).
fof(c_0_21,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_22,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_23,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> m2_filter_2(u1_struct_0(X1),X1) ),
inference(fof_simplification,[status(thm)],[t28_filter_2]) ).
fof(c_0_24,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_25,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_18,c_0_19]) ).
cnf(c_0_26,negated_conjecture,
r2_hidden(k6_lattices(esk1_0),esk2_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_27,negated_conjecture,
v14_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_28,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_29,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_30,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_31,plain,
! [X1065,X1066] :
( m1_subset_1(X1066,k1_zfmisc_1(u1_struct_0(X1065)))
| ~ m2_lattice4(X1066,X1065)
| ~ l3_lattices(X1065)
| ~ v10_lattices(X1065)
| v3_struct_0(X1065) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])]) ).
fof(c_0_32,plain,
! [X576,X577] :
( ( r1_tarski(k1_tarski(X576),X577)
| ~ r2_hidden(X576,X577) )
& ( r2_hidden(X576,X577)
| ~ r1_tarski(k1_tarski(X576),X577) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t37_zfmisc_1])])]) ).
fof(c_0_33,plain,
! [X2666] : r1_tarski(X2666,k1_zfmisc_1(k3_tarski(X2666))),
inference(variable_rename,[status(thm)],[t100_zfmisc_1]) ).
fof(c_0_34,plain,
! [X2646] : k3_tarski(k1_tarski(X2646)) = X2646,
inference(variable_rename,[status(thm)],[t31_zfmisc_1]) ).
fof(c_0_35,plain,
! [X172,X173] :
( ( ~ l3_lattices(X172)
| ~ v10_lattices(X172)
| v3_struct_0(X172)
| ~ m2_filter_2(X173,X172)
| m2_lattice4(X173,X172) )
& ( ~ l3_lattices(X172)
| ~ v10_lattices(X172)
| v3_struct_0(X172)
| ~ m2_filter_2(X173,X172)
| ~ v1_xboole_0(X173) ) ),
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_22])])])])]) ).
fof(c_0_36,plain,
! [X203] :
( m2_filter_2(u1_struct_0(X203),X203)
| ~ l3_lattices(X203)
| ~ v10_lattices(X203)
| v3_struct_0(X203) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])]) ).
fof(c_0_37,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_38,plain,
! [X68,X69] :
( r1_filter_2(u1_struct_0(X68),k19_filter_2(X68,X69),X69)
| ~ m2_filter_2(X69,X68)
| ~ l3_lattices(X68)
| ~ v10_lattices(X68)
| v3_struct_0(X68) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])])]) ).
cnf(c_0_39,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_25,c_0_26]),c_0_27]),c_0_28]),c_0_29])]),c_0_30]) ).
cnf(c_0_40,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_31]) ).
fof(c_0_41,plain,
! [X102,X103] :
( m1_subset_1(X102,X103)
| ~ r2_hidden(X102,X103) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])])]) ).
cnf(c_0_42,plain,
( ~ r1_tarski(k1_tarski(X1),X2)
| r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_43,plain,
r1_tarski(X1,k1_zfmisc_1(k3_tarski(X1))),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_44,plain,
k3_tarski(k1_tarski(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_45,plain,
( ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m2_filter_2(X1,X2)
| ~ v1_xboole_0(X1)
| v3_struct_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_46,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m2_filter_2(u1_struct_0(X1),X1)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_47,plain,
! [X60,X61,X62] :
( ( ~ m1_subset_1(X62,k1_zfmisc_1(X60))
| ~ m1_subset_1(X61,k1_zfmisc_1(X60))
| v1_xboole_0(X60)
| r1_filter_2(X60,X61,X62)
| X61 != X62 )
& ( ~ m1_subset_1(X62,k1_zfmisc_1(X60))
| ~ m1_subset_1(X61,k1_zfmisc_1(X60))
| v1_xboole_0(X60)
| X61 = X62
| ~ r1_filter_2(X60,X61,X62) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])])]) ).
cnf(c_0_48,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_38]) ).
cnf(c_0_49,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_39,c_0_40]),c_0_28]),c_0_29])]),c_0_30]) ).
cnf(c_0_50,negated_conjecture,
m2_filter_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_51,plain,
( ~ r2_hidden(X1,X2)
| m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_52,plain,
r2_hidden(X1,k1_zfmisc_1(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]) ).
cnf(c_0_53,plain,
( ~ v1_xboole_0(u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
fof(c_0_54,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_55,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_47]) ).
cnf(c_0_56,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_48,c_0_49]),c_0_50]),c_0_28]),c_0_29])]),c_0_30]) ).
cnf(c_0_57,plain,
m1_subset_1(X1,k1_zfmisc_1(X1)),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_58,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_28]),c_0_29])]),c_0_30]) ).
fof(c_0_59,plain,
! [X74] :
( k17_filter_2(X74) = u1_struct_0(X74)
| ~ l3_lattices(X74)
| ~ v10_lattices(X74)
| v3_struct_0(X74) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_54])])]) ).
cnf(c_0_60,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_55,c_0_56]),c_0_57])]),c_0_58]) ).
cnf(c_0_61,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_20]) ).
cnf(c_0_62,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_59]) ).
cnf(c_0_63,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_60,c_0_40]),c_0_28]),c_0_29])]),c_0_30]) ).
cnf(c_0_64,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_35]) ).
cnf(c_0_65,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_61,c_0_62]),c_0_28]),c_0_29])]),c_0_30]) ).
cnf(c_0_66,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_63,c_0_64]),c_0_50]),c_0_28]),c_0_29])]),c_0_30]) ).
cnf(c_0_67,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_47]) ).
cnf(c_0_68,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_65,c_0_66]),c_0_66]),c_0_66])]) ).
cnf(c_0_69,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_67]) ).
cnf(c_0_70,negated_conjecture,
~ v1_xboole_0(esk2_0),
inference(spm,[status(thm)],[c_0_19,c_0_26]) ).
cnf(c_0_71,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_57])]),c_0_70]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT313+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/15.38 % Computer : n010.cluster.edu
% 0.09/15.38 % Model : x86_64 x86_64
% 0.09/15.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/15.38 % Memory : 8046.5625MB
% 0.09/15.38 % OS : Linux 6.8.0-71-generic
% 0.09/15.38 % CPULimit : 300
% 0.09/15.38 % WCLimit : 300
% 0.09/15.38 % DateTime : Sun Sep 20 23:35:27 UTC 2026
% 0.09/15.38 % CPUTime :
% 0.09/15.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/15.43 Running first-order theorem proving
% 0.14/15.43 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
% 24.32/20.82 % Version: 3.5.1
% 24.32/20.82 % Preprocessing class: FMLLMLLLSSSNFFN.
% 24.32/20.82 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 24.32/20.82 % Starting new_bool_3 with 897s (3) cores
% 24.32/20.82 % Starting new_bool_1 with 897s (3) cores
% 24.32/20.82 % Starting sh5l with 299s (1) cores
% 24.32/20.82 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 299s (1) cores
% 24.32/20.82 % new_bool_3 with pid 3763538 completed with status 0
% 24.32/20.82 % Result found by new_bool_3
% 24.32/20.82 % Preprocessing class: FMLLMLLLSSSNFFN.
% 24.32/20.82 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 24.32/20.82 % Starting new_bool_3 with 897s (3) cores
% 24.32/20.82 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 24.32/20.82 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 24.32/20.82 % Search class: FGHSM-SMLM32-MFFFFFNN
% 24.32/20.82 % Scheduled 13 strats onto 3 cores with 897 seconds (897 total)
% 24.32/20.82 % Starting SubtermCWHack with 81s (1) cores
% 24.32/20.82 % Starting new_bool_3 with 90s (1) cores
% 24.32/20.82 % Starting C12_02_nc_SAT001_MinMin_p005000_rr with 68s (1) cores
% 24.32/20.82 % C12_02_nc_SAT001_MinMin_p005000_rr with pid 3763564 completed with status 0
% 24.32/20.82 % Result found by C12_02_nc_SAT001_MinMin_p005000_rr
% 24.32/20.82 % Preprocessing class: FMLLMLLLSSSNFFN.
% 24.32/20.82 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 24.32/20.82 % Starting new_bool_3 with 897s (3) cores
% 24.32/20.82 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 24.32/20.82 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 24.32/20.82 % Search class: FGHSM-SMLM32-MFFFFFNN
% 24.32/20.82 % Scheduled 13 strats onto 3 cores with 897 seconds (897 total)
% 24.32/20.82 % Starting SubtermCWHack with 81s (1) cores
% 24.32/20.82 % Starting new_bool_3 with 90s (1) cores
% 24.32/20.82 % Starting C12_02_nc_SAT001_MinMin_p005000_rr with 68s (1) cores
% 24.32/20.82 % Preprocessing time : 0.109 s
% 24.32/20.82 % Presaturation interreduction done
% 24.32/20.82
% 24.32/20.82 % Proof found!
% 24.32/20.82 % SZS status Theorem
% 24.32/20.82 % SZS output start CNFRefutation
% See solution above
% 24.32/20.82 % Parsed axioms : 34706
% 24.32/20.82 % Removed by relevancy pruning/SinE : 33753
% 24.32/20.82 % Initial clauses : 2487
% 24.32/20.82 % Removed in clause preprocessing : 121
% 24.32/20.82 % Initial clauses in saturation : 2366
% 24.32/20.82 % Processed clauses : 9748
% 24.32/20.82 % ...of these trivial : 83
% 24.32/20.82 % ...subsumed : 4513
% 24.32/20.82 % ...remaining for further processing : 5152
% 24.32/20.82 % Other redundant clauses eliminated : 249
% 24.32/20.82 % Clauses deleted for lack of memory : 0
% 24.32/20.82 % Backward-subsumed : 48
% 24.32/20.82 % Backward-rewritten : 116
% 24.32/20.82 % Generated clauses : 29641
% 24.32/20.82 % ...of the previous two non-redundant : 26600
% 24.32/20.82 % ...aggressively subsumed : 0
% 24.32/20.82 % Contextual simplify-reflections : 143
% 24.32/20.82 % Paramodulations : 29396
% 24.32/20.82 % Factorizations : 2
% 24.32/20.82 % NegExts : 0
% 24.32/20.82 % Equation resolutions : 254
% 24.32/20.82 % Disequality decompositions : 0
% 24.32/20.82 % Total rewrite steps : 6477
% 24.32/20.82 % ...of those cached : 5418
% 24.32/20.82 % Propositional unsat checks : 1
% 24.32/20.82 % Propositional check models : 0
% 24.32/20.82 % Propositional check unsatisfiable : 0
% 24.32/20.82 % Propositional clauses : 0
% 24.32/20.82 % Propositional clauses after purity: 0
% 24.32/20.82 % Propositional unsat core size : 0
% 24.32/20.82 % Propositional preprocessing time : 0.000
% 24.32/20.82 % Propositional encoding time : 0.055
% 24.32/20.82 % Propositional solver time : 0.054
% 24.32/20.82 % Success case prop preproc time : 0.000
% 24.32/20.82 % Success case prop encoding time : 0.000
% 24.32/20.82 % Success case prop solver time : 0.000
% 24.32/20.82 % Current number of processed clauses : 2584
% 24.32/20.82 % Positive orientable unit clauses : 488
% 24.32/20.82 % Positive unorientable unit clauses: 3
% 24.32/20.82 % Negative unit clauses : 299
% 24.32/20.82 % Non-unit-clauses : 1794
% 24.32/20.82 % Current number of unprocessed clauses: 21329
% 24.32/20.82 % ...number of literals in the above : 72877
% 24.32/20.82 % Current number of archived formulas : 0
% 24.32/20.82 % Current number of archived clauses : 2380
% 24.32/20.82 % Clause-clause subsumption calls (NU) : 3625279
% 24.32/20.82 % Rec. Clause-clause subsumption calls : 496909
% 24.32/20.82 % Non-unit clause-clause subsumptions : 1954
% 24.32/20.82 % Unit Clause-clause subsumption calls : 160140
% 24.32/20.82 % Rewrite failures with RHS unbound : 18
% 24.32/20.82 % BW rewrite match attempts : 1363
% 24.32/20.82 % BW rewrite match successes : 112
% 24.32/20.82 % Condensation attempts : 0
% 24.32/20.82 % Condensation successes : 0
% 24.32/20.82 % Termbank termtop insertions : 1698728
% 24.32/20.82 % Search garbage collected termcells : 379252
% 24.32/20.82
% 24.32/20.82 % -------------------------------------------------
% 24.32/20.82 % User time : 3.043 s
% 24.32/20.82 % System time : 0.220 s
% 24.32/20.82 % Total time : 3.263 s
% 24.32/20.82 % Maximum resident set size: 70372 pages
% 24.32/20.82
% 24.32/20.82 % -------------------------------------------------
% 24.32/20.82 % User time : 10.763 s
% 24.32/20.82 % System time : 0.611 s
% 24.32/20.82 % Total time : 11.374 s
% 24.32/20.82 % Maximum resident set size: 57088 pages
% 24.32/20.82 % E exiting
%------------------------------------------------------------------------------