TSTP Solution File: LAT313+3 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LAT313+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n025.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 : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 04:29:25 EDT 2022
% Result : Theorem 12.09s 5.00s
% Output : CNFRefutation 12.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 20
% Syntax : Number of clauses : 57 ( 27 unt; 19 nHn; 51 RR)
% Number of literals : 144 ( 15 equ; 78 neg)
% Maximal clause size : 8 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 60 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_779,plain,
( v1_xboole_0(X1)
| r2_hidden(X2,X1)
| ~ m1_subset_1(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5ejjdjiz/lgb.p',i_0_779) ).
cnf(i_0_1490,plain,
m1_subset_1(esk260_1(X1),X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5ejjdjiz/lgb.p',i_0_1490) ).
cnf(i_0_1440,plain,
( v3_struct_0(X1)
| m2_lattice4(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5ejjdjiz/lgb.p',i_0_1440) ).
cnf(i_0_4756,negated_conjecture,
m2_filter_2(esk706_0,esk705_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5ejjdjiz/lgb.p',i_0_4756) ).
cnf(i_0_4758,negated_conjecture,
v10_lattices(esk705_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5ejjdjiz/lgb.p',i_0_4758) ).
cnf(i_0_4757,negated_conjecture,
l3_lattices(esk705_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5ejjdjiz/lgb.p',i_0_4757) ).
cnf(i_0_4759,negated_conjecture,
~ v3_struct_0(esk705_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5ejjdjiz/lgb.p',i_0_4759) ).
cnf(i_0_5440,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5ejjdjiz/lgb.p',i_0_5440) ).
cnf(i_0_1445,plain,
( v3_struct_0(X1)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_lattice4(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5ejjdjiz/lgb.p',i_0_1445) ).
cnf(i_0_6082,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5ejjdjiz/lgb.p',i_0_6082) ).
cnf(i_0_4754,negated_conjecture,
r2_hidden(k6_lattices(esk705_0),esk706_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5ejjdjiz/lgb.p',i_0_4754) ).
cnf(i_0_4497,plain,
( v3_struct_0(X1)
| r1_filter_2(u1_struct_0(X1),k19_filter_2(X1,X2),X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5ejjdjiz/lgb.p',i_0_4497) ).
cnf(i_0_4701,plain,
( k19_filter_2(X1,X2) = u1_struct_0(X1)
| v3_struct_0(X1)
| v1_xboole_0(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v14_lattices(X1)
| ~ r2_hidden(k6_lattices(X1),X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5ejjdjiz/lgb.p',i_0_4701) ).
cnf(i_0_2475,plain,
( X1 = X2
| v1_xboole_0(X3)
| ~ r1_filter_2(X3,X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ m1_subset_1(X1,k1_zfmisc_1(X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5ejjdjiz/lgb.p',i_0_2475) ).
cnf(i_0_4755,negated_conjecture,
v14_lattices(esk705_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5ejjdjiz/lgb.p',i_0_4755) ).
cnf(i_0_4593,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5ejjdjiz/lgb.p',i_0_4593) ).
cnf(i_0_2482,plain,
r1_tarski(X1,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5ejjdjiz/lgb.p',i_0_2482) ).
cnf(i_0_2474,plain,
( v1_xboole_0(X1)
| r1_filter_2(X1,X2,X3)
| X2 != X3
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5ejjdjiz/lgb.p',i_0_2474) ).
cnf(i_0_4753,negated_conjecture,
( u1_struct_0(esk705_0) != esk706_0
| ~ r1_filter_2(u1_struct_0(esk705_0),esk706_0,k17_filter_2(esk705_0)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5ejjdjiz/lgb.p',i_0_4753) ).
cnf(i_0_1189,plain,
( k17_filter_2(X1) = u1_struct_0(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5ejjdjiz/lgb.p',i_0_1189) ).
cnf(c_0_6103,plain,
( v1_xboole_0(X1)
| r2_hidden(X2,X1)
| ~ m1_subset_1(X2,X1) ),
i_0_779 ).
cnf(c_0_6104,plain,
m1_subset_1(esk260_1(X1),X1),
i_0_1490 ).
cnf(c_0_6105,plain,
( v3_struct_0(X1)
| m2_lattice4(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
i_0_1440 ).
cnf(c_0_6106,negated_conjecture,
m2_filter_2(esk706_0,esk705_0),
i_0_4756 ).
cnf(c_0_6107,negated_conjecture,
v10_lattices(esk705_0),
i_0_4758 ).
cnf(c_0_6108,negated_conjecture,
l3_lattices(esk705_0),
i_0_4757 ).
cnf(c_0_6109,negated_conjecture,
~ v3_struct_0(esk705_0),
i_0_4759 ).
cnf(c_0_6110,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
i_0_5440 ).
cnf(c_0_6111,plain,
( v1_xboole_0(X1)
| r2_hidden(esk260_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_6103,c_0_6104]) ).
cnf(c_0_6112,plain,
( v3_struct_0(X1)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_lattice4(X2,X1) ),
i_0_1445 ).
cnf(c_0_6113,negated_conjecture,
m2_lattice4(esk706_0,esk705_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6105,c_0_6106]),c_0_6107]),c_0_6108])]),c_0_6109]) ).
cnf(c_0_6114,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
i_0_6082 ).
cnf(c_0_6115,negated_conjecture,
r2_hidden(k6_lattices(esk705_0),esk706_0),
i_0_4754 ).
cnf(c_0_6116,plain,
( v3_struct_0(X1)
| r1_filter_2(u1_struct_0(X1),k19_filter_2(X1,X2),X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
i_0_4497 ).
cnf(c_0_6117,plain,
( v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v1_xboole_0(X2) ),
inference(spm,[status(thm)],[c_0_6110,c_0_6111]) ).
cnf(c_0_6118,negated_conjecture,
m1_subset_1(esk706_0,k1_zfmisc_1(u1_struct_0(esk705_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6112,c_0_6113]),c_0_6107]),c_0_6108])]),c_0_6109]) ).
cnf(c_0_6119,negated_conjecture,
~ v1_xboole_0(esk706_0),
inference(spm,[status(thm)],[c_0_6114,c_0_6115]) ).
cnf(c_0_6120,plain,
( k19_filter_2(X1,X2) = u1_struct_0(X1)
| v3_struct_0(X1)
| v1_xboole_0(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v14_lattices(X1)
| ~ r2_hidden(k6_lattices(X1),X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
i_0_4701 ).
cnf(c_0_6121,plain,
( X1 = X2
| v1_xboole_0(X3)
| ~ r1_filter_2(X3,X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ m1_subset_1(X1,k1_zfmisc_1(X3)) ),
i_0_2475 ).
cnf(c_0_6122,negated_conjecture,
r1_filter_2(u1_struct_0(esk705_0),k19_filter_2(esk705_0,esk706_0),esk706_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6116,c_0_6106]),c_0_6107]),c_0_6108])]),c_0_6109]) ).
cnf(c_0_6123,plain,
~ v1_xboole_0(u1_struct_0(esk705_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6117,c_0_6118]),c_0_6119]) ).
cnf(c_0_6124,plain,
( k19_filter_2(X1,X2) = u1_struct_0(X1)
| v3_struct_0(X1)
| ~ v14_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ r2_hidden(k6_lattices(X1),X2) ),
inference(csr,[status(thm)],[c_0_6120,c_0_6114]) ).
cnf(c_0_6125,negated_conjecture,
v14_lattices(esk705_0),
i_0_4755 ).
cnf(c_0_6126,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
i_0_4593 ).
cnf(c_0_6127,plain,
r1_tarski(X1,X1),
i_0_2482 ).
cnf(c_0_6128,plain,
( v1_xboole_0(X1)
| r1_filter_2(X1,X2,X3)
| X2 != X3
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
i_0_2474 ).
cnf(c_0_6129,negated_conjecture,
( u1_struct_0(esk705_0) != esk706_0
| ~ r1_filter_2(u1_struct_0(esk705_0),esk706_0,k17_filter_2(esk705_0)) ),
i_0_4753 ).
cnf(c_0_6130,plain,
( k17_filter_2(X1) = u1_struct_0(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
i_0_1189 ).
cnf(c_0_6131,plain,
( k19_filter_2(esk705_0,esk706_0) = esk706_0
| ~ m1_subset_1(k19_filter_2(esk705_0,esk706_0),k1_zfmisc_1(u1_struct_0(esk705_0))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6121,c_0_6122]),c_0_6118])]),c_0_6123]) ).
cnf(c_0_6132,negated_conjecture,
k19_filter_2(esk705_0,esk706_0) = u1_struct_0(esk705_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_6124,c_0_6115]),c_0_6125]),c_0_6118]),c_0_6107]),c_0_6108])]),c_0_6109]) ).
cnf(c_0_6133,plain,
m1_subset_1(X1,k1_zfmisc_1(X1)),
inference(spm,[status(thm)],[c_0_6126,c_0_6127]) ).
cnf(c_0_6134,plain,
( v1_xboole_0(X1)
| r1_filter_2(X1,X2,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(er,[status(thm)],[c_0_6128]) ).
cnf(c_0_6135,negated_conjecture,
( u1_struct_0(esk705_0) != esk706_0
| ~ r1_filter_2(u1_struct_0(esk705_0),esk706_0,u1_struct_0(esk705_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6129,c_0_6130]),c_0_6107]),c_0_6108])]),c_0_6109]) ).
cnf(c_0_6136,plain,
u1_struct_0(esk705_0) = esk706_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_6131,c_0_6132]),c_0_6132]),c_0_6133])]) ).
cnf(c_0_6137,negated_conjecture,
r1_filter_2(u1_struct_0(esk705_0),esk706_0,esk706_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6134,c_0_6118]),c_0_6123]) ).
cnf(c_0_6138,negated_conjecture,
~ r1_filter_2(esk706_0,esk706_0,esk706_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_6135,c_0_6136]),c_0_6136]),c_0_6136])]) ).
cnf(c_0_6139,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_6137,c_0_6136]),c_0_6138]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : LAT313+3 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 29 23:33:56 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.20/0.44 # ENIGMATIC: Selected SinE mode:
% 0.73/0.88 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.73/0.88 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.73/0.88 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.73/0.88 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 12.09/5.00 # ENIGMATIC: Solved by autoschedule-lgb:
% 12.09/5.00 # No SInE strategy applied
% 12.09/5.00 # Trying AutoSched0 for 149 seconds
% 12.09/5.00 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 12.09/5.00 # and selection function SelectCQIPrecWNTNp.
% 12.09/5.00 #
% 12.09/5.00 # Preprocessing time : 0.033 s
% 12.09/5.00 # Presaturation interreduction done
% 12.09/5.00
% 12.09/5.00 # Proof found!
% 12.09/5.00 # SZS status Theorem
% 12.09/5.00 # SZS output start CNFRefutation
% See solution above
% 12.09/5.00 # Training examples: 0 positive, 0 negative
% 12.09/5.00
% 12.09/5.00 # -------------------------------------------------
% 12.09/5.00 # User time : 0.148 s
% 12.09/5.00 # System time : 0.012 s
% 12.09/5.00 # Total time : 0.160 s
% 12.09/5.00 # Maximum resident set size: 7120 pages
% 12.09/5.00
%------------------------------------------------------------------------------