%------------------------------------------------------------------------------
% File : E-SAT---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 : n001.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 01:06:09 PM UTC 2026
% Result : Theorem 28.26s 8.19s
% Output : CNFRefutation 28.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 67 ( 22 unt; 0 def)
% Number of atoms : 256 ( 23 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 295 ( 106 ~; 95 |; 57 &)
% ( 3 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 90 ( 1 sgn 60 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(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(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(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(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(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(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(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(t80_zfmisc_1,axiom,
! [X1] : r1_tarski(k1_tarski(X1),k1_zfmisc_1(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t80_zfmisc_1) ).
fof(cc1_sgraph1,axiom,
! [X1] :
( v1_xboole_0(X1)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
=> ( v1_finset_1(X2)
& v1_xboole_0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+409.ax',cc1_sgraph1) ).
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_12,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_13,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_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(fof_simplification,[status(thm)],[c_0_12]) ).
fof(c_0_15,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_16,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_17,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_13])])])])]) ).
fof(c_0_18,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_14])])])]) ).
fof(c_0_19,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]) ).
fof(c_0_20,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_15])])])])]) ).
fof(c_0_21,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_22,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_16])])])]) ).
cnf(c_0_23,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_17]) ).
cnf(c_0_24,negated_conjecture,
m2_filter_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_25,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_26,negated_conjecture,
l3_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,
! [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_29,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_19])])])]) ).
cnf(c_0_30,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_20]) ).
cnf(c_0_31,plain,
( ~ v1_xboole_0(X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_32,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_22]) ).
cnf(c_0_33,negated_conjecture,
m2_lattice4(esk2_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]) ).
fof(c_0_34,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_35,plain,
! [X583] : r1_tarski(k1_tarski(X583),k1_zfmisc_1(X583)),
inference(variable_rename,[status(thm)],[t80_zfmisc_1]) ).
fof(c_0_36,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_28])])])]) ).
fof(c_0_37,plain,
! [X2526,X2527] :
( ( ~ v1_xboole_0(X2526)
| ~ m1_subset_1(X2527,k1_zfmisc_1(X2526))
| v1_finset_1(X2527) )
& ( ~ v1_xboole_0(X2526)
| ~ m1_subset_1(X2527,k1_zfmisc_1(X2526))
| v1_xboole_0(X2527) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_sgraph1])])])])]) ).
cnf(c_0_38,negated_conjecture,
r2_hidden(k6_lattices(esk1_0),esk2_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_39,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_29]) ).
cnf(c_0_40,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_30,c_0_31]) ).
cnf(c_0_41,negated_conjecture,
v14_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_42,negated_conjecture,
m1_subset_1(esk2_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_32,c_0_33]),c_0_25]),c_0_26])]),c_0_27]) ).
fof(c_0_43,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_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]) ).
fof(c_0_46,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_47,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_36]) ).
cnf(c_0_48,plain,
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_49,negated_conjecture,
~ v1_xboole_0(esk2_0),
inference(spm,[status(thm)],[c_0_31,c_0_38]) ).
cnf(c_0_50,negated_conjecture,
r1_filter_2(u1_struct_0(esk1_0),k19_filter_2(esk1_0,esk2_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_39,c_0_24]),c_0_25]),c_0_26])]),c_0_27]) ).
cnf(c_0_51,negated_conjecture,
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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_38]),c_0_41]),c_0_25]),c_0_26]),c_0_42])]),c_0_27]) ).
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]) ).
fof(c_0_54,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_46])])]) ).
cnf(c_0_55,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_47]) ).
cnf(c_0_56,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_42]),c_0_49]) ).
cnf(c_0_57,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_36]) ).
cnf(c_0_58,negated_conjecture,
r1_filter_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),esk2_0),
inference(rw,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_59,plain,
m1_subset_1(X1,k1_zfmisc_1(X1)),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_60,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_18]) ).
cnf(c_0_61,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_54]) ).
cnf(c_0_62,negated_conjecture,
r1_filter_2(u1_struct_0(esk1_0),esk2_0,esk2_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_42]),c_0_56]) ).
cnf(c_0_63,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(spm,[status(thm)],[c_0_57,c_0_58]),c_0_42]),c_0_59])]),c_0_56]) ).
cnf(c_0_64,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_60,c_0_61]),c_0_25]),c_0_26])]),c_0_27]) ).
cnf(c_0_65,negated_conjecture,
r1_filter_2(esk2_0,esk2_0,esk2_0),
inference(rw,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_66,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_63]),c_0_63]),c_0_63])]),c_0_65])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LAT313+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.43 % Computer : n001.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Sun Sep 20 23:40:20 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.50 Running first-order theorem proving
% 0.17/0.50 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
% 28.26/8.19 % Version: 3.5.1
% 28.26/8.19 % Preprocessing class: FMLLMLLLSSSNFFN.
% 28.26/8.19 % Scheduled 4 strats onto 8 cores with 297 seconds (2376 total)
% 28.26/8.19 % Starting new_bool_3 with 891s (3) cores
% 28.26/8.19 % Starting new_bool_1 with 891s (3) cores
% 28.26/8.19 % Starting sh5l with 297s (1) cores
% 28.26/8.19 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 297s (1) cores
% 28.26/8.19 % new_bool_1 with pid 1670462 completed with status 0
% 28.26/8.19 % Result found by new_bool_1
% 28.26/8.19 % Preprocessing class: FMLLMLLLSSSNFFN.
% 28.26/8.19 % Scheduled 4 strats onto 8 cores with 297 seconds (2376 total)
% 28.26/8.19 % Starting new_bool_3 with 891s (3) cores
% 28.26/8.19 % Starting new_bool_1 with 891s (3) cores
% 28.26/8.19 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 28.26/8.19 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 28.26/8.19 % Search class: FGHSM-SMLM32-MFFFFFNN
% 28.26/8.19 % Scheduled 13 strats onto 3 cores with 891 seconds (891 total)
% 28.26/8.19 % Starting SubtermCWHack with 81s (1) cores
% 28.26/8.19 % Starting new_bool_1 with 90s (1) cores
% 28.26/8.19 % Starting C12_02_nc_SAT001_MinMin_p005000_rr with 67s (1) cores
% 28.26/8.19 % new_bool_1 with pid 1670470 completed with status 0
% 28.26/8.19 % Result found by new_bool_1
% 28.26/8.19 % Preprocessing class: FMLLMLLLSSSNFFN.
% 28.26/8.19 % Scheduled 4 strats onto 8 cores with 297 seconds (2376 total)
% 28.26/8.19 % Starting new_bool_3 with 891s (3) cores
% 28.26/8.19 % Starting new_bool_1 with 891s (3) cores
% 28.26/8.19 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 28.26/8.19 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 28.26/8.19 % Search class: FGHSM-SMLM32-MFFFFFNN
% 28.26/8.19 % Scheduled 13 strats onto 3 cores with 891 seconds (891 total)
% 28.26/8.19 % Starting SubtermCWHack with 81s (1) cores
% 28.26/8.19 % Starting new_bool_1 with 90s (1) cores
% 28.26/8.19 % Preprocessing time : 0.101 s
% 28.26/8.19 % Presaturation interreduction done
% 28.26/8.19
% 28.26/8.19 % Proof found!
% 28.26/8.19 % SZS status Theorem
% 28.26/8.19 % SZS output start CNFRefutation
% See solution above
% 28.26/8.19 % Parsed axioms : 34706
% 28.26/8.19 % Removed by relevancy pruning/SinE : 33753
% 28.26/8.19 % Initial clauses : 2487
% 28.26/8.19 % Removed in clause preprocessing : 121
% 28.26/8.19 % Initial clauses in saturation : 2366
% 28.26/8.19 % Processed clauses : 11222
% 28.26/8.19 % ...of these trivial : 92
% 28.26/8.19 % ...subsumed : 5548
% 28.26/8.19 % ...remaining for further processing : 5581
% 28.26/8.19 % Other redundant clauses eliminated : 549
% 28.26/8.19 % Clauses deleted for lack of memory : 0
% 28.26/8.19 % Backward-subsumed : 37
% 28.26/8.19 % Backward-rewritten : 319
% 28.26/8.19 % Generated clauses : 40651
% 28.26/8.19 % ...of the previous two non-redundant : 37829
% 28.26/8.19 % ...aggressively subsumed : 0
% 28.26/8.19 % Contextual simplify-reflections : 136
% 28.26/8.19 % Paramodulations : 40092
% 28.26/8.19 % Factorizations : 10
% 28.26/8.19 % NegExts : 0
% 28.26/8.19 % Equation resolutions : 556
% 28.26/8.19 % Disequality decompositions : 0
% 28.26/8.19 % Total rewrite steps : 7087
% 28.26/8.19 % ...of those cached : 5787
% 28.26/8.19 % Propositional unsat checks : 1
% 28.26/8.19 % Propositional check models : 0
% 28.26/8.19 % Propositional check unsatisfiable : 0
% 28.26/8.19 % Propositional clauses : 0
% 28.26/8.19 % Propositional clauses after purity: 0
% 28.26/8.19 % Propositional unsat core size : 0
% 28.26/8.19 % Propositional preprocessing time : 0.000
% 28.26/8.19 % Propositional encoding time : 0.058
% 28.26/8.19 % Propositional solver time : 0.039
% 28.26/8.19 % Success case prop preproc time : 0.000
% 28.26/8.19 % Success case prop encoding time : 0.000
% 28.26/8.19 % Success case prop solver time : 0.000
% 28.26/8.19 % Current number of processed clauses : 2817
% 28.26/8.19 % Positive orientable unit clauses : 640
% 28.26/8.19 % Positive unorientable unit clauses: 1
% 28.26/8.19 % Negative unit clauses : 563
% 28.26/8.19 % Non-unit-clauses : 1613
% 28.26/8.19 % Current number of unprocessed clauses: 31151
% 28.26/8.19 % ...number of literals in the above : 103464
% 28.26/8.19 % Current number of archived formulas : 0
% 28.26/8.19 % Current number of archived clauses : 2577
% 28.26/8.19 % Clause-clause subsumption calls (NU) : 3528594
% 28.26/8.19 % Rec. Clause-clause subsumption calls : 406473
% 28.26/8.19 % Non-unit clause-clause subsumptions : 1338
% 28.26/8.19 % Unit Clause-clause subsumption calls : 216770
% 28.26/8.19 % Rewrite failures with RHS unbound : 0
% 28.26/8.19 % BW rewrite match attempts : 741
% 28.26/8.19 % BW rewrite match successes : 106
% 28.26/8.19 % Condensation attempts : 0
% 28.26/8.19 % Condensation successes : 0
% 28.26/8.19 % Termbank termtop insertions : 1859080
% 28.26/8.19 % Search garbage collected termcells : 379252
% 28.26/8.19
% 28.26/8.19 % -------------------------------------------------
% 28.26/8.19 % User time : 3.487 s
% 28.26/8.19 % System time : 0.231 s
% 28.26/8.19 % Total time : 3.718 s
% 28.26/8.19 % Maximum resident set size: 70372 pages
% 28.26/8.19
% 28.26/8.19 % -------------------------------------------------
% 28.26/8.19 % User time : 13.186 s
% 28.26/8.19 % System time : 0.715 s
% 28.26/8.19 % Total time : 13.901 s
% 28.26/8.19 % Maximum resident set size: 57344 pages
% 28.26/8.19 % E exiting
%------------------------------------------------------------------------------