TSTP Solution File: LAT310+1 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : LAT310+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 18:08:31 EDT 2023
% Result : Theorem 0.17s 0.49s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 55 ( 23 unt; 0 def)
% Number of atoms : 258 ( 9 equ)
% Maximal formula atoms : 45 ( 4 avg)
% Number of connectives : 327 ( 124 ~; 116 |; 54 &)
% ( 2 <=>; 31 =>; 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 : 74 ( 1 sgn; 47 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(dt_k19_filter_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> m2_filter_2(k19_filter_2(X1,X2),X1) ),
file('/export/starexec/sandbox/tmp/tmp.AV4zgjHJ9m/E---3.1_9622.p',dt_k19_filter_2) ).
fof(t39_filter_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ! [X3] :
( ( ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
=> ! [X4] :
( ( ~ v1_xboole_0(X4)
& m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1))) )
=> ( ( r1_tarski(X3,X4)
=> r1_tarski(k19_filter_2(X1,X3),k19_filter_2(X1,X4)) )
& r1_tarski(k19_filter_2(X1,k19_filter_2(X1,X2)),k19_filter_2(X1,X2)) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.AV4zgjHJ9m/E---3.1_9622.p',t39_filter_2) ).
fof(dt_m2_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.AV4zgjHJ9m/E---3.1_9622.p',dt_m2_filter_2) ).
fof(d11_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ! [X3] :
( m2_filter_2(X3,X1)
=> ( X3 = k19_filter_2(X1,X2)
<=> ( r1_tarski(X2,X3)
& ! [X4] :
( m2_filter_2(X4,X1)
=> ( r1_tarski(X2,X4)
=> r1_tarski(X3,X4) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.AV4zgjHJ9m/E---3.1_9622.p',d11_filter_2) ).
fof(dt_m2_lattice4,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_lattice4(X2,X1)
=> m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ),
file('/export/starexec/sandbox/tmp/tmp.AV4zgjHJ9m/E---3.1_9622.p',dt_m2_lattice4) ).
fof(reflexivity_r1_tarski,axiom,
! [X1,X2] : r1_tarski(X1,X1),
file('/export/starexec/sandbox/tmp/tmp.AV4zgjHJ9m/E---3.1_9622.p',reflexivity_r1_tarski) ).
fof(t1_xboole_1,axiom,
! [X1,X2,X3] :
( ( r1_tarski(X1,X2)
& r1_tarski(X2,X3) )
=> r1_tarski(X1,X3) ),
file('/export/starexec/sandbox/tmp/tmp.AV4zgjHJ9m/E---3.1_9622.p',t1_xboole_1) ).
fof(c_0_7,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> m2_filter_2(k19_filter_2(X1,X2),X1) ),
inference(fof_simplification,[status(thm)],[dt_k19_filter_2]) ).
fof(c_0_8,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ! [X3] :
( ( ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
=> ! [X4] :
( ( ~ v1_xboole_0(X4)
& m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1))) )
=> ( ( r1_tarski(X3,X4)
=> r1_tarski(k19_filter_2(X1,X3),k19_filter_2(X1,X4)) )
& r1_tarski(k19_filter_2(X1,k19_filter_2(X1,X2)),k19_filter_2(X1,X2)) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t39_filter_2])]) ).
fof(c_0_9,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[dt_m2_filter_2]) ).
fof(c_0_10,plain,
! [X20,X21] :
( v3_struct_0(X20)
| ~ v10_lattices(X20)
| ~ l3_lattices(X20)
| v1_xboole_0(X21)
| ~ m1_subset_1(X21,k1_zfmisc_1(u1_struct_0(X20)))
| m2_filter_2(k19_filter_2(X20,X21),X20) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])]) ).
fof(c_0_11,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& l3_lattices(esk1_0)
& ~ v1_xboole_0(esk2_0)
& m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
& ~ v1_xboole_0(esk3_0)
& m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
& ~ v1_xboole_0(esk4_0)
& m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
& ( r1_tarski(esk3_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(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)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])]) ).
fof(c_0_12,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ! [X3] :
( m2_filter_2(X3,X1)
=> ( X3 = k19_filter_2(X1,X2)
<=> ( r1_tarski(X2,X3)
& ! [X4] :
( m2_filter_2(X4,X1)
=> ( r1_tarski(X2,X4)
=> r1_tarski(X3,X4) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d11_filter_2]) ).
fof(c_0_13,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(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_14,plain,
! [X39,X40] :
( ( ~ v1_xboole_0(X40)
| ~ m2_filter_2(X40,X39)
| v3_struct_0(X39)
| ~ v10_lattices(X39)
| ~ l3_lattices(X39) )
& ( m2_lattice4(X40,X39)
| ~ m2_filter_2(X40,X39)
| v3_struct_0(X39)
| ~ v10_lattices(X39)
| ~ l3_lattices(X39) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])]) ).
cnf(c_0_15,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| m2_filter_2(k19_filter_2(X1,X2),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,negated_conjecture,
m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_19,negated_conjecture,
~ v1_xboole_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_20,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_21,plain,
! [X15,X16,X17,X18] :
( ( r1_tarski(X16,X17)
| X17 != k19_filter_2(X15,X16)
| ~ m2_filter_2(X17,X15)
| v1_xboole_0(X16)
| ~ m1_subset_1(X16,k1_zfmisc_1(u1_struct_0(X15)))
| v3_struct_0(X15)
| ~ v10_lattices(X15)
| ~ l3_lattices(X15) )
& ( ~ m2_filter_2(X18,X15)
| ~ r1_tarski(X16,X18)
| r1_tarski(X17,X18)
| X17 != k19_filter_2(X15,X16)
| ~ m2_filter_2(X17,X15)
| v1_xboole_0(X16)
| ~ m1_subset_1(X16,k1_zfmisc_1(u1_struct_0(X15)))
| v3_struct_0(X15)
| ~ v10_lattices(X15)
| ~ l3_lattices(X15) )
& ( m2_filter_2(esk5_3(X15,X16,X17),X15)
| ~ r1_tarski(X16,X17)
| X17 = k19_filter_2(X15,X16)
| ~ m2_filter_2(X17,X15)
| v1_xboole_0(X16)
| ~ m1_subset_1(X16,k1_zfmisc_1(u1_struct_0(X15)))
| v3_struct_0(X15)
| ~ v10_lattices(X15)
| ~ l3_lattices(X15) )
& ( r1_tarski(X16,esk5_3(X15,X16,X17))
| ~ r1_tarski(X16,X17)
| X17 = k19_filter_2(X15,X16)
| ~ m2_filter_2(X17,X15)
| v1_xboole_0(X16)
| ~ m1_subset_1(X16,k1_zfmisc_1(u1_struct_0(X15)))
| v3_struct_0(X15)
| ~ v10_lattices(X15)
| ~ l3_lattices(X15) )
& ( ~ r1_tarski(X17,esk5_3(X15,X16,X17))
| ~ r1_tarski(X16,X17)
| X17 = k19_filter_2(X15,X16)
| ~ m2_filter_2(X17,X15)
| v1_xboole_0(X16)
| ~ m1_subset_1(X16,k1_zfmisc_1(u1_struct_0(X15)))
| v3_struct_0(X15)
| ~ v10_lattices(X15)
| ~ l3_lattices(X15) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])])]) ).
fof(c_0_22,plain,
! [X29,X30] :
( v3_struct_0(X29)
| ~ v10_lattices(X29)
| ~ l3_lattices(X29)
| ~ m2_lattice4(X30,X29)
| m1_subset_1(X30,k1_zfmisc_1(u1_struct_0(X29))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).
cnf(c_0_23,plain,
( m2_lattice4(X1,X2)
| v3_struct_0(X2)
| ~ m2_filter_2(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_24,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_15,c_0_16]),c_0_17]),c_0_18])]),c_0_19]),c_0_20]) ).
cnf(c_0_25,plain,
( r1_tarski(X4,X1)
| v1_xboole_0(X3)
| v3_struct_0(X2)
| ~ m2_filter_2(X1,X2)
| ~ r1_tarski(X3,X1)
| X4 != k19_filter_2(X2,X3)
| ~ m2_filter_2(X4,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_26,plain,
( v3_struct_0(X1)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_lattice4(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_27,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_23,c_0_24]),c_0_17]),c_0_18])]),c_0_20]) ).
cnf(c_0_28,plain,
( v3_struct_0(X2)
| ~ v1_xboole_0(X1)
| ~ m2_filter_2(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_29,plain,
( r1_tarski(k19_filter_2(X1,X2),X3)
| v1_xboole_0(X2)
| v3_struct_0(X1)
| ~ m2_filter_2(X3,X1)
| ~ r1_tarski(X2,X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_25]),c_0_15]) ).
cnf(c_0_30,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_26,c_0_27]),c_0_17]),c_0_18])]),c_0_20]) ).
cnf(c_0_31,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_28,c_0_24]),c_0_17]),c_0_18])]),c_0_20]) ).
fof(c_0_32,plain,
! [X9] : r1_tarski(X9,X9),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])]) ).
cnf(c_0_33,negated_conjecture,
( r1_tarski(k19_filter_2(esk1_0,k19_filter_2(esk1_0,esk2_0)),X1)
| ~ m2_filter_2(X1,esk1_0)
| ~ r1_tarski(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_29,c_0_30]),c_0_17]),c_0_18])]),c_0_31]),c_0_20]) ).
cnf(c_0_34,plain,
r1_tarski(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_35,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_36,negated_conjecture,
~ v1_xboole_0(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_37,negated_conjecture,
m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_38,negated_conjecture,
~ v1_xboole_0(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_39,plain,
( r1_tarski(X1,X2)
| v1_xboole_0(X1)
| v3_struct_0(X3)
| X2 != k19_filter_2(X3,X1)
| ~ m2_filter_2(X2,X3)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X3)))
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_40,negated_conjecture,
( ~ 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)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_41,negated_conjecture,
r1_tarski(k19_filter_2(esk1_0,k19_filter_2(esk1_0,esk2_0)),k19_filter_2(esk1_0,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_24]),c_0_34])]) ).
cnf(c_0_42,negated_conjecture,
( r1_tarski(k19_filter_2(esk1_0,esk3_0),X1)
| ~ m2_filter_2(X1,esk1_0)
| ~ r1_tarski(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_29,c_0_35]),c_0_17]),c_0_18])]),c_0_36]),c_0_20]) ).
cnf(c_0_43,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_15,c_0_37]),c_0_17]),c_0_18])]),c_0_38]),c_0_20]) ).
fof(c_0_44,plain,
! [X10,X11,X12] :
( ~ r1_tarski(X10,X11)
| ~ r1_tarski(X11,X12)
| r1_tarski(X10,X12) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_xboole_1])]) ).
cnf(c_0_45,plain,
( r1_tarski(X1,k19_filter_2(X2,X1))
| v1_xboole_0(X1)
| v3_struct_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_39]),c_0_15]) ).
cnf(c_0_46,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)],[c_0_40,c_0_41])]) ).
cnf(c_0_47,negated_conjecture,
( r1_tarski(k19_filter_2(esk1_0,esk3_0),k19_filter_2(esk1_0,esk4_0))
| ~ r1_tarski(esk3_0,k19_filter_2(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_48,plain,
( r1_tarski(X1,X3)
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_49,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_45,c_0_37]),c_0_17]),c_0_18])]),c_0_38]),c_0_20]) ).
cnf(c_0_50,negated_conjecture,
( r1_tarski(esk3_0,esk4_0)
| ~ r1_tarski(k19_filter_2(esk1_0,k19_filter_2(esk1_0,esk2_0)),k19_filter_2(esk1_0,esk2_0)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_51,negated_conjecture,
~ r1_tarski(esk3_0,k19_filter_2(esk1_0,esk4_0)),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_52,negated_conjecture,
( r1_tarski(X1,k19_filter_2(esk1_0,esk4_0))
| ~ r1_tarski(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_53,negated_conjecture,
r1_tarski(esk3_0,esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_41])]) ).
cnf(c_0_54,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : LAT310+1 : TPTP v8.1.2. Released v3.4.0.
% 0.02/0.12 % Command : run_E %s %d THM
% 0.12/0.32 % Computer : n003.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 2400
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Mon Oct 2 10:08:48 EDT 2023
% 0.12/0.32 % CPUTime :
% 0.17/0.44 Running first-order theorem proving
% 0.17/0.44 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/tmp/tmp.AV4zgjHJ9m/E---3.1_9622.p
% 0.17/0.49 # Version: 3.1pre001
% 0.17/0.49 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.49 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.49 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.49 # Starting new_bool_1 with 300s (1) cores
% 0.17/0.49 # Starting sh5l with 300s (1) cores
% 0.17/0.49 # new_bool_1 with pid 9702 completed with status 0
% 0.17/0.49 # Result found by new_bool_1
% 0.17/0.49 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.49 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.49 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.49 # Starting new_bool_1 with 300s (1) cores
% 0.17/0.49 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.49 # Search class: FGHSM-FFMM31-SFFFFFNN
% 0.17/0.49 # Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.49 # Starting G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 28s (1) cores
% 0.17/0.49 # G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 9704 completed with status 0
% 0.17/0.49 # Result found by G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.17/0.49 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.49 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.49 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.49 # Starting new_bool_1 with 300s (1) cores
% 0.17/0.49 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.49 # Search class: FGHSM-FFMM31-SFFFFFNN
% 0.17/0.49 # Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.49 # Starting G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 28s (1) cores
% 0.17/0.49 # Preprocessing time : 0.001 s
% 0.17/0.49 # Presaturation interreduction done
% 0.17/0.49
% 0.17/0.49 # Proof found!
% 0.17/0.49 # SZS status Theorem
% 0.17/0.49 # SZS output start CNFRefutation
% See solution above
% 0.17/0.49 # Parsed axioms : 44
% 0.17/0.49 # Removed by relevancy pruning/SinE : 21
% 0.17/0.49 # Initial clauses : 44
% 0.17/0.49 # Removed in clause preprocessing : 0
% 0.17/0.49 # Initial clauses in saturation : 44
% 0.17/0.49 # Processed clauses : 500
% 0.17/0.49 # ...of these trivial : 4
% 0.17/0.49 # ...subsumed : 125
% 0.17/0.49 # ...remaining for further processing : 371
% 0.17/0.49 # Other redundant clauses eliminated : 2
% 0.17/0.49 # Clauses deleted for lack of memory : 0
% 0.17/0.49 # Backward-subsumed : 5
% 0.17/0.49 # Backward-rewritten : 8
% 0.17/0.49 # Generated clauses : 1151
% 0.17/0.49 # ...of the previous two non-redundant : 977
% 0.17/0.49 # ...aggressively subsumed : 0
% 0.17/0.49 # Contextual simplify-reflections : 5
% 0.17/0.49 # Paramodulations : 1149
% 0.17/0.49 # Factorizations : 0
% 0.17/0.49 # NegExts : 0
% 0.17/0.49 # Equation resolutions : 2
% 0.17/0.49 # Total rewrite steps : 780
% 0.17/0.49 # Propositional unsat checks : 0
% 0.17/0.49 # Propositional check models : 0
% 0.17/0.49 # Propositional check unsatisfiable : 0
% 0.17/0.49 # Propositional clauses : 0
% 0.17/0.49 # Propositional clauses after purity: 0
% 0.17/0.49 # Propositional unsat core size : 0
% 0.17/0.49 # Propositional preprocessing time : 0.000
% 0.17/0.49 # Propositional encoding time : 0.000
% 0.17/0.49 # Propositional solver time : 0.000
% 0.17/0.49 # Success case prop preproc time : 0.000
% 0.17/0.49 # Success case prop encoding time : 0.000
% 0.17/0.49 # Success case prop solver time : 0.000
% 0.17/0.49 # Current number of processed clauses : 312
% 0.17/0.49 # Positive orientable unit clauses : 127
% 0.17/0.49 # Positive unorientable unit clauses: 2
% 0.17/0.49 # Negative unit clauses : 33
% 0.17/0.49 # Non-unit-clauses : 150
% 0.17/0.49 # Current number of unprocessed clauses: 561
% 0.17/0.49 # ...number of literals in the above : 1918
% 0.17/0.49 # Current number of archived formulas : 0
% 0.17/0.49 # Current number of archived clauses : 57
% 0.17/0.49 # Clause-clause subsumption calls (NU) : 2976
% 0.17/0.49 # Rec. Clause-clause subsumption calls : 2197
% 0.17/0.49 # Non-unit clause-clause subsumptions : 124
% 0.17/0.49 # Unit Clause-clause subsumption calls : 524
% 0.17/0.49 # Rewrite failures with RHS unbound : 0
% 0.17/0.49 # BW rewrite match attempts : 362
% 0.17/0.49 # BW rewrite match successes : 14
% 0.17/0.49 # Condensation attempts : 0
% 0.17/0.49 # Condensation successes : 0
% 0.17/0.49 # Termbank termtop insertions : 26658
% 0.17/0.49
% 0.17/0.49 # -------------------------------------------------
% 0.17/0.49 # User time : 0.032 s
% 0.17/0.49 # System time : 0.003 s
% 0.17/0.49 # Total time : 0.035 s
% 0.17/0.49 # Maximum resident set size: 1876 pages
% 0.17/0.49
% 0.17/0.49 # -------------------------------------------------
% 0.17/0.49 # User time : 0.034 s
% 0.17/0.49 # System time : 0.004 s
% 0.17/0.49 # Total time : 0.039 s
% 0.17/0.49 # Maximum resident set size: 1728 pages
% 0.17/0.49 % E---3.1 exiting
% 0.17/0.49 % E---3.1 exiting
%------------------------------------------------------------------------------