TSTP Solution File: LAT310+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LAT310+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n024.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 04:29:21 EDT 2022
% Result : Theorem 7.80s 2.31s
% Output : CNFRefutation 7.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 19
% Syntax : Number of clauses : 53 ( 30 unt; 12 nHn; 51 RR)
% Number of literals : 144 ( 4 equ; 84 neg)
% Maximal clause size : 10 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 46 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_28,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))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v9pc_3m7/input.p',i_0_28) ).
cnf(i_0_7,negated_conjecture,
m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v9pc_3m7/input.p',i_0_7) ).
cnf(i_0_9,negated_conjecture,
l3_lattices(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v9pc_3m7/input.p',i_0_9) ).
cnf(i_0_10,negated_conjecture,
v10_lattices(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v9pc_3m7/input.p',i_0_10) ).
cnf(i_0_11,negated_conjecture,
~ v3_struct_0(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v9pc_3m7/input.p',i_0_11) ).
cnf(i_0_8,negated_conjecture,
~ v1_xboole_0(esk2_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v9pc_3m7/input.p',i_0_8) ).
cnf(i_0_37,plain,
( v3_struct_0(X1)
| m2_lattice4(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v9pc_3m7/input.p',i_0_37) ).
cnf(i_0_26,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| r1_tarski(X3,X4)
| X3 != k19_filter_2(X1,X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ r1_tarski(X2,X4)
| ~ m2_filter_2(X3,X1)
| ~ m2_filter_2(X4,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v9pc_3m7/input.p',i_0_26) ).
cnf(i_0_39,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) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v9pc_3m7/input.p',i_0_39) ).
cnf(i_0_38,plain,
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v1_xboole_0(X2)
| ~ m2_filter_2(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v9pc_3m7/input.p',i_0_38) ).
cnf(i_0_27,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| r1_tarski(X2,X3)
| X3 != k19_filter_2(X1,X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X3,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v9pc_3m7/input.p',i_0_27) ).
cnf(i_0_1,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)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v9pc_3m7/input.p',i_0_1) ).
cnf(i_0_63,plain,
r1_tarski(X1,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v9pc_3m7/input.p',i_0_63) ).
cnf(i_0_5,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v9pc_3m7/input.p',i_0_5) ).
cnf(i_0_6,negated_conjecture,
~ v1_xboole_0(esk3_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v9pc_3m7/input.p',i_0_6) ).
cnf(i_0_3,negated_conjecture,
m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v9pc_3m7/input.p',i_0_3) ).
cnf(i_0_4,negated_conjecture,
~ v1_xboole_0(esk4_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v9pc_3m7/input.p',i_0_4) ).
cnf(i_0_65,plain,
( r1_tarski(X1,X2)
| ~ r1_tarski(X3,X2)
| ~ r1_tarski(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v9pc_3m7/input.p',i_0_65) ).
cnf(i_0_2,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)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v9pc_3m7/input.p',i_0_2) ).
cnf(c_0_85,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))) ),
i_0_28 ).
cnf(c_0_86,negated_conjecture,
m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
i_0_7 ).
cnf(c_0_87,negated_conjecture,
l3_lattices(esk1_0),
i_0_9 ).
cnf(c_0_88,negated_conjecture,
v10_lattices(esk1_0),
i_0_10 ).
cnf(c_0_89,negated_conjecture,
~ v3_struct_0(esk1_0),
i_0_11 ).
cnf(c_0_90,negated_conjecture,
~ v1_xboole_0(esk2_0),
i_0_8 ).
cnf(c_0_91,plain,
( v3_struct_0(X1)
| m2_lattice4(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
i_0_37 ).
cnf(c_0_92,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_85,c_0_86]),c_0_87]),c_0_88])]),c_0_89]),c_0_90]) ).
cnf(c_0_93,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| r1_tarski(X3,X4)
| X3 != k19_filter_2(X1,X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ r1_tarski(X2,X4)
| ~ m2_filter_2(X3,X1)
| ~ m2_filter_2(X4,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
i_0_26 ).
cnf(c_0_94,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) ),
i_0_39 ).
cnf(c_0_95,plain,
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_91,c_0_92]),c_0_87]),c_0_88])]),c_0_89]) ).
cnf(c_0_96,plain,
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v1_xboole_0(X2)
| ~ m2_filter_2(X2,X1) ),
i_0_38 ).
cnf(c_0_97,plain,
( v3_struct_0(X1)
| r1_tarski(k19_filter_2(X1,X2),X3)
| v1_xboole_0(X2)
| ~ m2_filter_2(X3,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r1_tarski(X2,X3)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_93]),c_0_85]) ).
cnf(c_0_98,plain,
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_94,c_0_95]),c_0_87]),c_0_88])]),c_0_89]) ).
cnf(c_0_99,plain,
~ 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_96,c_0_92]),c_0_87]),c_0_88])]),c_0_89]) ).
cnf(c_0_100,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| r1_tarski(X2,X3)
| X3 != k19_filter_2(X1,X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X3,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
i_0_27 ).
cnf(c_0_101,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)) ),
i_0_1 ).
cnf(c_0_102,plain,
( 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_97,c_0_98]),c_0_87]),c_0_88])]),c_0_89]),c_0_99]) ).
cnf(c_0_103,plain,
r1_tarski(X1,X1),
i_0_63 ).
cnf(c_0_104,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
i_0_5 ).
cnf(c_0_105,negated_conjecture,
~ v1_xboole_0(esk3_0),
i_0_6 ).
cnf(c_0_106,negated_conjecture,
m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
i_0_3 ).
cnf(c_0_107,negated_conjecture,
~ v1_xboole_0(esk4_0),
i_0_4 ).
cnf(c_0_108,plain,
( v3_struct_0(X1)
| r1_tarski(X2,k19_filter_2(X1,X2))
| v1_xboole_0(X2)
| ~ 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_100]),c_0_85]) ).
cnf(c_0_109,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_101,c_0_102]),c_0_92]),c_0_103])]) ).
cnf(c_0_110,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_97,c_0_104]),c_0_87]),c_0_88])]),c_0_89]),c_0_105]) ).
cnf(c_0_111,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_85,c_0_106]),c_0_87]),c_0_88])]),c_0_89]),c_0_107]) ).
cnf(c_0_112,plain,
( r1_tarski(X1,X2)
| ~ r1_tarski(X3,X2)
| ~ r1_tarski(X1,X3) ),
i_0_65 ).
cnf(c_0_113,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_108,c_0_106]),c_0_87]),c_0_88])]),c_0_89]),c_0_107]) ).
cnf(c_0_114,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)) ),
i_0_2 ).
cnf(c_0_115,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_109,c_0_110]),c_0_111])]) ).
cnf(c_0_116,plain,
( r1_tarski(X1,k19_filter_2(esk1_0,esk4_0))
| ~ r1_tarski(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_117,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_114,c_0_102]),c_0_92]),c_0_103])]) ).
cnf(c_0_118,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_117])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LAT310+1 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.32 % Computer : n024.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Wed Jun 29 02:41:32 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 7.80/2.31 # ENIGMATIC: Solved by autoschedule:
% 7.80/2.31 # No SInE strategy applied
% 7.80/2.31 # Trying AutoSched0 for 150 seconds
% 7.80/2.31 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN
% 7.80/2.31 # and selection function SelectComplexExceptUniqMaxHorn.
% 7.80/2.31 #
% 7.80/2.31 # Preprocessing time : 0.023 s
% 7.80/2.31 # Presaturation interreduction done
% 7.80/2.31
% 7.80/2.31 # Proof found!
% 7.80/2.31 # SZS status Theorem
% 7.80/2.31 # SZS output start CNFRefutation
% See solution above
% 7.80/2.31 # Training examples: 0 positive, 0 negative
% 7.80/2.31
% 7.80/2.31 # -------------------------------------------------
% 7.80/2.31 # User time : 0.060 s
% 7.80/2.31 # System time : 0.007 s
% 7.80/2.31 # Total time : 0.067 s
% 7.80/2.31 # Maximum resident set size: 7124 pages
% 7.80/2.31
%------------------------------------------------------------------------------