%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LAT310+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : 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 01:04:50 PM UTC 2026
% Result : Theorem 0.22s 10.63s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 54 ( 22 unt; 0 def)
% Number of atoms : 267 ( 9 equ)
% Maximal formula atoms : 45 ( 4 avg)
% Number of connectives : 341 ( 128 ~; 115 |; 60 &)
% ( 2 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 78 ( 1 sgn 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t39_filter_2,conjecture,
! [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) )
=> ! [X3] :
( ( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X3) )
=> ! [X4] :
( ( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X4) )
=> ( r1_tarski(k19_filter_2(X1,k19_filter_2(X1,X2)),k19_filter_2(X1,X2))
& ( r1_tarski(X3,X4)
=> r1_tarski(k19_filter_2(X1,X3),k19_filter_2(X1,X4)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t39_filter_2) ).
fof(dt_k19_filter_2,axiom,
! [X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2)
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> m2_filter_2(k19_filter_2(X1,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k19_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(d11_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) )
=> ! [X3] :
( m2_filter_2(X3,X1)
=> ( X3 = k19_filter_2(X1,X2)
<=> ( ! [X4] :
( m2_filter_2(X4,X1)
=> ( r1_tarski(X2,X4)
=> r1_tarski(X3,X4) ) )
& r1_tarski(X2,X3) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d11_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/theBenchmark.p',dt_m2_lattice4) ).
fof(reflexivity_r1_tarski,axiom,
! [X1,X2] : r1_tarski(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(t1_xboole_1,axiom,
! [X1,X2,X3] :
( ( r1_tarski(X2,X3)
& r1_tarski(X1,X2) )
=> r1_tarski(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(c_0_7,negated_conjecture,
~ ! [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) )
=> ! [X3] :
( ( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X3) )
=> ! [X4] :
( ( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X4) )
=> ( r1_tarski(k19_filter_2(X1,k19_filter_2(X1,X2)),k19_filter_2(X1,X2))
& ( r1_tarski(X3,X4)
=> r1_tarski(k19_filter_2(X1,X3),k19_filter_2(X1,X4)) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[t39_filter_2]) ).
fof(c_0_8,plain,
! [X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2)
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> m2_filter_2(k19_filter_2(X1,X2),X1) ),
inference(fof_simplification,[status(thm)],[dt_k19_filter_2]) ).
fof(c_0_9,negated_conjecture,
~ ! [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) )
=> ! [X3] :
( ( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X3) )
=> ! [X4] :
( ( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X4) )
=> ( r1_tarski(k19_filter_2(X1,k19_filter_2(X1,X2)),k19_filter_2(X1,X2))
& ( r1_tarski(X3,X4)
=> r1_tarski(k19_filter_2(X1,X3),k19_filter_2(X1,X4)) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_7]) ).
fof(c_0_10,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_11,plain,
! [X19,X20] :
( m2_filter_2(k19_filter_2(X19,X20),X19)
| ~ m1_subset_1(X20,k1_zfmisc_1(u1_struct_0(X19)))
| v1_xboole_0(X20)
| ~ l3_lattices(X19)
| ~ v10_lattices(X19)
| v3_struct_0(X19) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).
fof(c_0_12,negated_conjecture,
( ( ~ r1_tarski(k19_filter_2(esk1_0,k19_filter_2(esk1_0,esk2_0)),k19_filter_2(esk1_0,esk2_0))
| ~ r1_tarski(k19_filter_2(esk1_0,esk3_0),k19_filter_2(esk1_0,esk4_0)) )
& ( ~ r1_tarski(k19_filter_2(esk1_0,k19_filter_2(esk1_0,esk2_0)),k19_filter_2(esk1_0,esk2_0))
| r1_tarski(esk3_0,esk4_0) )
& m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
& ~ v1_xboole_0(esk4_0)
& m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
& ~ v1_xboole_0(esk3_0)
& m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
& ~ v1_xboole_0(esk2_0)
& l3_lattices(esk1_0)
& v10_lattices(esk1_0)
& ~ v3_struct_0(esk1_0) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])])]) ).
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) )
=> ! [X3] :
( m2_filter_2(X3,X1)
=> ( X3 = k19_filter_2(X1,X2)
<=> ( ! [X4] :
( m2_filter_2(X4,X1)
=> ( r1_tarski(X2,X4)
=> r1_tarski(X3,X4) ) )
& r1_tarski(X2,X3) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d11_filter_2]) ).
fof(c_0_14,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_15,plain,
! [X24,X25] :
( ( ~ l3_lattices(X24)
| ~ v10_lattices(X24)
| v3_struct_0(X24)
| ~ m2_filter_2(X25,X24)
| m2_lattice4(X25,X24) )
& ( ~ l3_lattices(X24)
| ~ v10_lattices(X24)
| v3_struct_0(X24)
| ~ m2_filter_2(X25,X24)
| ~ v1_xboole_0(X25) ) ),
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_10])])])])]) ).
cnf(c_0_16,plain,
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m2_filter_2(k19_filter_2(X1,X2),X1)
| v1_xboole_0(X2)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,negated_conjecture,
m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_20,negated_conjecture,
~ v1_xboole_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_21,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_22,plain,
! [X14,X15,X16,X17] :
( ( ~ l3_lattices(X14)
| ~ v10_lattices(X14)
| v3_struct_0(X14)
| ~ m1_subset_1(X15,k1_zfmisc_1(u1_struct_0(X14)))
| v1_xboole_0(X15)
| ~ m2_filter_2(X16,X14)
| X16 = k19_filter_2(X14,X15)
| ~ r1_tarski(X15,X16)
| ~ r1_tarski(X16,esk5_3(X14,X15,X16)) )
& ( ~ l3_lattices(X14)
| ~ v10_lattices(X14)
| v3_struct_0(X14)
| ~ m1_subset_1(X15,k1_zfmisc_1(u1_struct_0(X14)))
| v1_xboole_0(X15)
| ~ m2_filter_2(X16,X14)
| X16 = k19_filter_2(X14,X15)
| ~ r1_tarski(X15,X16)
| r1_tarski(X15,esk5_3(X14,X15,X16)) )
& ( ~ l3_lattices(X14)
| ~ v10_lattices(X14)
| v3_struct_0(X14)
| ~ m1_subset_1(X15,k1_zfmisc_1(u1_struct_0(X14)))
| v1_xboole_0(X15)
| ~ m2_filter_2(X16,X14)
| X16 = k19_filter_2(X14,X15)
| ~ r1_tarski(X15,X16)
| m2_filter_2(esk5_3(X14,X15,X16),X14) )
& ( ~ l3_lattices(X14)
| ~ v10_lattices(X14)
| v3_struct_0(X14)
| ~ m1_subset_1(X15,k1_zfmisc_1(u1_struct_0(X14)))
| v1_xboole_0(X15)
| ~ m2_filter_2(X16,X14)
| X16 != k19_filter_2(X14,X15)
| r1_tarski(X16,X17)
| ~ r1_tarski(X15,X17)
| ~ m2_filter_2(X17,X14) )
& ( ~ l3_lattices(X14)
| ~ v10_lattices(X14)
| v3_struct_0(X14)
| ~ m1_subset_1(X15,k1_zfmisc_1(u1_struct_0(X14)))
| v1_xboole_0(X15)
| ~ m2_filter_2(X16,X14)
| X16 != k19_filter_2(X14,X15)
| r1_tarski(X15,X16) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])])])]) ).
fof(c_0_23,plain,
! [X26,X27] :
( m1_subset_1(X27,k1_zfmisc_1(u1_struct_0(X26)))
| ~ m2_lattice4(X27,X26)
| ~ l3_lattices(X26)
| ~ v10_lattices(X26)
| v3_struct_0(X26) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])]) ).
cnf(c_0_24,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_15]) ).
cnf(c_0_25,negated_conjecture,
m2_filter_2(k19_filter_2(esk1_0,esk2_0),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_16,c_0_17]),c_0_18]),c_0_19])]),c_0_20]),c_0_21]) ).
cnf(c_0_26,plain,
( ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ m2_filter_2(X4,X2)
| X4 != k19_filter_2(X2,X3)
| ~ r1_tarski(X3,X1)
| ~ m2_filter_2(X1,X2)
| v3_struct_0(X2)
| v1_xboole_0(X3)
| r1_tarski(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_27,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_23]) ).
cnf(c_0_28,negated_conjecture,
m2_lattice4(k19_filter_2(esk1_0,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_24,c_0_25]),c_0_18]),c_0_19])]),c_0_21]) ).
cnf(c_0_29,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_15]) ).
cnf(c_0_30,plain,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r1_tarski(X2,X3)
| ~ m2_filter_2(X3,X1)
| v3_struct_0(X1)
| v1_xboole_0(X2)
| r1_tarski(k19_filter_2(X1,X2),X3) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_26]),c_0_16]) ).
cnf(c_0_31,negated_conjecture,
m1_subset_1(k19_filter_2(esk1_0,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_27,c_0_28]),c_0_18]),c_0_19])]),c_0_21]) ).
cnf(c_0_32,negated_conjecture,
~ v1_xboole_0(k19_filter_2(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_29,c_0_25]),c_0_18]),c_0_19])]),c_0_21]) ).
fof(c_0_33,plain,
! [X51] : r1_tarski(X51,X51),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])]) ).
cnf(c_0_34,plain,
( ~ l3_lattices(X3)
| ~ v10_lattices(X3)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X3)))
| ~ m2_filter_2(X2,X3)
| X2 != k19_filter_2(X3,X1)
| v3_struct_0(X3)
| v1_xboole_0(X1)
| r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_35,negated_conjecture,
( ~ r1_tarski(k19_filter_2(esk1_0,k19_filter_2(esk1_0,esk2_0)),k19_filter_2(esk1_0,esk2_0))
| ~ r1_tarski(k19_filter_2(esk1_0,esk3_0),k19_filter_2(esk1_0,esk4_0)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_36,negated_conjecture,
( ~ r1_tarski(k19_filter_2(esk1_0,esk2_0),X1)
| ~ m2_filter_2(X1,esk1_0)
| r1_tarski(k19_filter_2(esk1_0,k19_filter_2(esk1_0,esk2_0)),X1) ),
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_30,c_0_31]),c_0_18]),c_0_19])]),c_0_32]),c_0_21]) ).
cnf(c_0_37,plain,
r1_tarski(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_38,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_39,negated_conjecture,
~ v1_xboole_0(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_40,negated_conjecture,
m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_41,negated_conjecture,
~ v1_xboole_0(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_42,plain,
! [X54,X55,X56] :
( r1_tarski(X54,X56)
| ~ r1_tarski(X55,X56)
| ~ r1_tarski(X54,X55) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_xboole_1])])]) ).
cnf(c_0_43,plain,
( ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| v3_struct_0(X2)
| v1_xboole_0(X1)
| r1_tarski(X1,k19_filter_2(X2,X1)) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_34]),c_0_16]) ).
cnf(c_0_44,negated_conjecture,
~ r1_tarski(k19_filter_2(esk1_0,esk3_0),k19_filter_2(esk1_0,esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_25]),c_0_37])]) ).
cnf(c_0_45,negated_conjecture,
( ~ r1_tarski(esk3_0,X1)
| ~ m2_filter_2(X1,esk1_0)
| r1_tarski(k19_filter_2(esk1_0,esk3_0),X1) ),
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_30,c_0_38]),c_0_18]),c_0_19])]),c_0_39]),c_0_21]) ).
cnf(c_0_46,negated_conjecture,
m2_filter_2(k19_filter_2(esk1_0,esk4_0),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_16,c_0_40]),c_0_18]),c_0_19])]),c_0_41]),c_0_21]) ).
cnf(c_0_47,plain,
( ~ r1_tarski(X2,X3)
| ~ r1_tarski(X1,X2)
| r1_tarski(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_48,negated_conjecture,
r1_tarski(esk4_0,k19_filter_2(esk1_0,esk4_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_43,c_0_40]),c_0_18]),c_0_19])]),c_0_41]),c_0_21]) ).
cnf(c_0_49,negated_conjecture,
( ~ r1_tarski(k19_filter_2(esk1_0,k19_filter_2(esk1_0,esk2_0)),k19_filter_2(esk1_0,esk2_0))
| r1_tarski(esk3_0,esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_50,negated_conjecture,
~ r1_tarski(esk3_0,k19_filter_2(esk1_0,esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46])]) ).
cnf(c_0_51,negated_conjecture,
( ~ r1_tarski(X1,esk4_0)
| r1_tarski(X1,k19_filter_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_52,negated_conjecture,
r1_tarski(esk3_0,esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_36]),c_0_25]),c_0_37])]) ).
cnf(c_0_53,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LAT310+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/10.46 % Computer : n010.cluster.edu
% 0.18/10.46 % Model : x86_64 x86_64
% 0.18/10.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/10.46 % Memory : 8046.5625MB
% 0.18/10.46 % OS : Linux 6.8.0-71-generic
% 0.18/10.46 % CPULimit : 300
% 0.18/10.46 % WCLimit : 300
% 0.18/10.46 % DateTime : Sun Sep 20 23:33:38 UTC 2026
% 0.18/10.47 % CPUTime :
% 0.18/10.47 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.22/10.54 Running first-order theorem proving
% 0.22/10.54 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/10.63 % Version: 3.5.1
% 0.22/10.63 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/10.63 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/10.63 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/10.63 % Starting new_bool_3 with 300s (1) cores
% 0.22/10.63 % Starting new_bool_1 with 300s (1) cores
% 0.22/10.63 % Starting sh5l with 300s (1) cores
% 0.22/10.63 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3753817 completed with status 0
% 0.22/10.63 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.22/10.63 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/10.63 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/10.63 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/10.63 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.22/10.63 % No SInE strategy applied
% 0.22/10.63 % Search class: FGHSM-FFMM31-SFFFFFNN
% 0.22/10.63 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/10.63 % Starting SubtermCWHack with 136s (1) cores
% 0.22/10.63 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.22/10.63 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4b with 136s (1) cores
% 0.22/10.63 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 0.22/10.63 % Starting G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.22/10.63 % G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 3753828 completed with status 0
% 0.22/10.63 % Result found by G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.22/10.63 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/10.63 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/10.63 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/10.63 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.22/10.63 % No SInE strategy applied
% 0.22/10.63 % Search class: FGHSM-FFMM31-SFFFFFNN
% 0.22/10.63 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/10.63 % Starting SubtermCWHack with 136s (1) cores
% 0.22/10.63 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.22/10.63 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4b with 136s (1) cores
% 0.22/10.63 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 0.22/10.63 % Starting G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.22/10.63 % Preprocessing time : 0.002 s
% 0.22/10.63 % Presaturation interreduction done
% 0.22/10.63
% 0.22/10.63 % Proof found!
% 0.22/10.63 % SZS status Theorem
% 0.22/10.63 % SZS output start CNFRefutation
% See solution above
% 0.22/10.63 % Parsed axioms : 44
% 0.22/10.63 % Removed by relevancy pruning/SinE : 0
% 0.22/10.63 % Initial clauses : 73
% 0.22/10.63 % Removed in clause preprocessing : 7
% 0.22/10.63 % Initial clauses in saturation : 66
% 0.22/10.63 % Processed clauses : 869
% 0.22/10.63 % ...of these trivial : 5
% 0.22/10.63 % ...subsumed : 240
% 0.22/10.63 % ...remaining for further processing : 624
% 0.22/10.63 % Other redundant clauses eliminated : 2
% 0.22/10.63 % Clauses deleted for lack of memory : 0
% 0.22/10.63 % Backward-subsumed : 36
% 0.22/10.63 % Backward-rewritten : 13
% 0.22/10.63 % Generated clauses : 1678
% 0.22/10.63 % ...of the previous two non-redundant : 1476
% 0.22/10.63 % ...aggressively subsumed : 0
% 0.22/10.63 % Contextual simplify-reflections : 5
% 0.22/10.63 % Paramodulations : 1676
% 0.22/10.63 % Factorizations : 0
% 0.22/10.63 % NegExts : 0
% 0.22/10.63 % Equation resolutions : 2
% 0.22/10.63 % Disequality decompositions : 0
% 0.22/10.63 % Total rewrite steps : 846
% 0.22/10.63 % ...of those cached : 741
% 0.22/10.63 % Propositional unsat checks : 0
% 0.22/10.63 % Propositional check models : 0
% 0.22/10.63 % Propositional check unsatisfiable : 0
% 0.22/10.63 % Propositional clauses : 0
% 0.22/10.63 % Propositional clauses after purity: 0
% 0.22/10.63 % Propositional unsat core size : 0
% 0.22/10.63 % Propositional preprocessing time : 0.000
% 0.22/10.63 % Propositional encoding time : 0.000
% 0.22/10.63 % Propositional solver time : 0.000
% 0.22/10.63 % Success case prop preproc time : 0.000
% 0.22/10.63 % Success case prop encoding time : 0.000
% 0.22/10.63 % Success case prop solver time : 0.000
% 0.22/10.63 % Current number of processed clauses : 507
% 0.22/10.63 % Positive orientable unit clauses : 197
% 0.22/10.63 % Positive unorientable unit clauses: 0
% 0.22/10.63 % Negative unit clauses : 111
% 0.22/10.63 % Non-unit-clauses : 199
% 0.22/10.63 % Current number of unprocessed clauses: 727
% 0.22/10.63 % ...number of literals in the above : 2323
% 0.22/10.63 % Current number of archived formulas : 0
% 0.22/10.63 % Current number of archived clauses : 115
% 0.22/10.63 % Clause-clause subsumption calls (NU) : 6071
% 0.22/10.63 % Rec. Clause-clause subsumption calls : 2642
% 0.22/10.63 % Non-unit clause-clause subsumptions : 72
% 0.22/10.63 % Unit Clause-clause subsumption calls : 2939
% 0.22/10.63 % Rewrite failures with RHS unbound : 0
% 0.22/10.63 % BW rewrite match attempts : 280
% 0.22/10.63 % BW rewrite match successes : 4
% 0.22/10.63 % Condensation attempts : 0
% 0.22/10.63 % Condensation successes : 0
% 0.22/10.63 % Termbank termtop insertions : 32182
% 0.22/10.63 % Search garbage collected termcells : 936
% 0.22/10.63
% 0.22/10.63 % -------------------------------------------------
% 0.22/10.63 % User time : 0.062 s
% 0.22/10.63 % System time : 0.005 s
% 0.22/10.63 % Total time : 0.067 s
% 0.22/10.63 % Maximum resident set size: 3640 pages
% 0.22/10.63
% 0.22/10.63 % -------------------------------------------------
% 0.22/10.63 % User time : 0.283 s
% 0.22/10.63 % System time : 0.025 s
% 0.22/10.63 % Total time : 0.308 s
% 0.22/10.63 % Maximum resident set size: 4864 pages
% 0.22/10.63 % E exiting
%------------------------------------------------------------------------------