TSTP Solution File: SEU262+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU262+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n004.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 : Tue Jul 19 08:40:11 EDT 2022
% Result : Theorem 10.36s 2.82s
% Output : CNFRefutation 10.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 19
% Syntax : Number of clauses : 72 ( 16 unt; 10 nHn; 61 RR)
% Number of literals : 154 ( 10 equ; 82 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 4 con; 0-3 aty)
% Number of variables : 127 ( 21 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_14,plain,
( in(unordered_pair(unordered_pair(esk5_3(X1,X2,X3),X3),singleton(esk5_3(X1,X2,X3))),X1)
| X2 != relation_rng(X1)
| ~ relation(X1)
| ~ in(X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kek3g07t/lgb.p',i_0_14) ).
cnf(i_0_3,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kek3g07t/lgb.p',i_0_3) ).
cnf(i_0_49,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kek3g07t/lgb.p',i_0_49) ).
cnf(i_0_43,plain,
( empty(X1)
| in(X2,X1)
| ~ element(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kek3g07t/lgb.p',i_0_43) ).
cnf(i_0_28,plain,
element(esk9_1(X1),X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kek3g07t/lgb.p',i_0_28) ).
cnf(i_0_10,plain,
( in(unordered_pair(unordered_pair(X1,esk2_3(X2,X3,X1)),singleton(X1)),X2)
| X3 != relation_dom(X2)
| ~ relation(X2)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kek3g07t/lgb.p',i_0_10) ).
cnf(i_0_5,plain,
( subset(X1,X2)
| in(esk1_2(X1,X2),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kek3g07t/lgb.p',i_0_5) ).
cnf(i_0_2,plain,
( relation(X1)
| ~ element(X1,powerset(cartesian_product2(X2,X3))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kek3g07t/lgb.p',i_0_2) ).
cnf(i_0_26,plain,
( element(X1,powerset(cartesian_product2(X2,X3)))
| ~ relation_of2_as_subset(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kek3g07t/lgb.p',i_0_26) ).
cnf(i_0_48,plain,
( X1 = empty_set
| ~ empty(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kek3g07t/lgb.p',i_0_48) ).
cnf(i_0_30,plain,
empty(empty_set),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kek3g07t/lgb.p',i_0_30) ).
cnf(i_0_41,negated_conjecture,
relation_of2_as_subset(esk15_0,esk13_0,esk14_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kek3g07t/lgb.p',i_0_41) ).
cnf(i_0_6,plain,
( in(X1,X2)
| ~ in(X1,X3)
| ~ subset(X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kek3g07t/lgb.p',i_0_6) ).
cnf(i_0_45,plain,
( subset(X1,X2)
| ~ element(X1,powerset(X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kek3g07t/lgb.p',i_0_45) ).
cnf(i_0_40,negated_conjecture,
( ~ subset(relation_dom(esk15_0),esk13_0)
| ~ subset(relation_rng(esk15_0),esk14_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kek3g07t/lgb.p',i_0_40) ).
cnf(i_0_46,plain,
( element(X1,X2)
| ~ in(X1,X3)
| ~ element(X3,powerset(X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kek3g07t/lgb.p',i_0_46) ).
cnf(i_0_39,plain,
( in(X1,X2)
| ~ in(unordered_pair(unordered_pair(X1,X3),singleton(X1)),cartesian_product2(X2,X4)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kek3g07t/lgb.p',i_0_39) ).
cnf(i_0_38,plain,
( in(X1,X2)
| ~ in(unordered_pair(unordered_pair(X3,X1),singleton(X3)),cartesian_product2(X4,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kek3g07t/lgb.p',i_0_38) ).
cnf(i_0_4,plain,
( subset(X1,X2)
| ~ in(esk1_2(X1,X2),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kek3g07t/lgb.p',i_0_4) ).
cnf(c_0_69,plain,
( in(unordered_pair(unordered_pair(esk5_3(X1,X2,X3),X3),singleton(esk5_3(X1,X2,X3))),X1)
| X2 != relation_rng(X1)
| ~ relation(X1)
| ~ in(X3,X2) ),
i_0_14 ).
cnf(c_0_70,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
i_0_3 ).
cnf(c_0_71,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
i_0_49 ).
cnf(c_0_72,plain,
( in(unordered_pair(unordered_pair(X1,esk5_3(X2,relation_rng(X2),X1)),singleton(esk5_3(X2,relation_rng(X2),X1))),X2)
| ~ relation(X2)
| ~ in(X1,relation_rng(X2)) ),
inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_70])]) ).
cnf(c_0_73,plain,
( empty(X1)
| in(X2,X1)
| ~ element(X2,X1) ),
i_0_43 ).
cnf(c_0_74,plain,
element(esk9_1(X1),X1),
i_0_28 ).
cnf(c_0_75,plain,
( in(unordered_pair(unordered_pair(X1,esk2_3(X2,X3,X1)),singleton(X1)),X2)
| X3 != relation_dom(X2)
| ~ relation(X2)
| ~ in(X1,X3) ),
i_0_10 ).
cnf(c_0_76,plain,
( ~ empty(X1)
| ~ relation(X1)
| ~ in(X2,relation_rng(X1)) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_77,plain,
( empty(X1)
| in(esk9_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_78,plain,
( subset(X1,X2)
| in(esk1_2(X1,X2),X1) ),
i_0_5 ).
cnf(c_0_79,plain,
( relation(X1)
| ~ element(X1,powerset(cartesian_product2(X2,X3))) ),
i_0_2 ).
cnf(c_0_80,plain,
( element(X1,powerset(cartesian_product2(X2,X3)))
| ~ relation_of2_as_subset(X1,X2,X3) ),
i_0_26 ).
cnf(c_0_81,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,esk2_3(X2,relation_dom(X2),X1))),X2)
| ~ relation(X2)
| ~ in(X1,relation_dom(X2)) ),
inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_70])]) ).
cnf(c_0_82,plain,
( X1 = empty_set
| ~ empty(X1) ),
i_0_48 ).
cnf(c_0_83,plain,
( empty(relation_rng(X1))
| ~ empty(X1)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_84,plain,
( subset(X1,X2)
| ~ empty(X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_78]) ).
cnf(c_0_85,plain,
empty(empty_set),
i_0_30 ).
cnf(c_0_86,plain,
( relation(X1)
| ~ relation_of2_as_subset(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_87,negated_conjecture,
relation_of2_as_subset(esk15_0,esk13_0,esk14_0),
i_0_41 ).
cnf(c_0_88,plain,
( ~ empty(X1)
| ~ relation(X1)
| ~ in(X2,relation_dom(X1)) ),
inference(spm,[status(thm)],[c_0_71,c_0_81]) ).
cnf(c_0_89,plain,
( in(X1,X2)
| ~ in(X1,X3)
| ~ subset(X3,X2) ),
i_0_6 ).
cnf(c_0_90,plain,
( subset(X1,X2)
| ~ element(X1,powerset(X2)) ),
i_0_45 ).
cnf(c_0_91,negated_conjecture,
( ~ subset(relation_dom(esk15_0),esk13_0)
| ~ subset(relation_rng(esk15_0),esk14_0) ),
i_0_40 ).
cnf(c_0_92,plain,
( relation_rng(X1) = empty_set
| ~ empty(X1)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_93,plain,
subset(empty_set,X1),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_94,negated_conjecture,
relation(esk15_0),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_95,plain,
( empty(relation_dom(X1))
| ~ empty(X1)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_88,c_0_77]) ).
cnf(c_0_96,plain,
( element(X1,X2)
| ~ in(X1,X3)
| ~ element(X3,powerset(X2)) ),
i_0_46 ).
cnf(c_0_97,plain,
( empty(X1)
| in(esk9_1(X1),X2)
| ~ subset(X1,X2) ),
inference(spm,[status(thm)],[c_0_89,c_0_77]) ).
cnf(c_0_98,plain,
( subset(X1,cartesian_product2(X2,X3))
| ~ relation_of2_as_subset(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_90,c_0_80]) ).
cnf(c_0_99,negated_conjecture,
( ~ empty(esk15_0)
| ~ subset(relation_dom(esk15_0),esk13_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93]),c_0_94])]) ).
cnf(c_0_100,plain,
( relation_dom(X1) = empty_set
| ~ empty(X1)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_82,c_0_95]) ).
cnf(c_0_101,plain,
( element(X1,cartesian_product2(X2,X3))
| ~ in(X1,X4)
| ~ relation_of2_as_subset(X4,X2,X3) ),
inference(spm,[status(thm)],[c_0_96,c_0_80]) ).
cnf(c_0_102,plain,
( empty(X1)
| in(esk9_1(X1),cartesian_product2(X2,X3))
| ~ relation_of2_as_subset(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_103,plain,
~ empty(esk15_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_93]),c_0_94])]) ).
cnf(c_0_104,negated_conjecture,
( element(X1,cartesian_product2(esk13_0,esk14_0))
| ~ in(X1,esk15_0) ),
inference(spm,[status(thm)],[c_0_101,c_0_87]) ).
cnf(c_0_105,negated_conjecture,
in(esk9_1(esk15_0),cartesian_product2(esk13_0,esk14_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_87]),c_0_103]) ).
cnf(c_0_106,plain,
( in(X1,X2)
| ~ in(unordered_pair(unordered_pair(X1,X3),singleton(X1)),cartesian_product2(X2,X4)) ),
i_0_39 ).
cnf(c_0_107,plain,
( empty(cartesian_product2(esk13_0,esk14_0))
| in(X1,cartesian_product2(esk13_0,esk14_0))
| ~ in(X1,esk15_0) ),
inference(spm,[status(thm)],[c_0_73,c_0_104]) ).
cnf(c_0_108,plain,
~ empty(cartesian_product2(esk13_0,esk14_0)),
inference(spm,[status(thm)],[c_0_71,c_0_105]) ).
cnf(c_0_109,plain,
( in(X1,X2)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X3)),cartesian_product2(X2,X4)) ),
inference(spm,[status(thm)],[c_0_106,c_0_70]) ).
cnf(c_0_110,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,esk2_3(esk15_0,relation_dom(esk15_0),X1))),cartesian_product2(esk13_0,esk14_0))
| ~ in(X1,relation_dom(esk15_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_81]),c_0_94])]),c_0_108]) ).
cnf(c_0_111,plain,
( in(X1,X2)
| ~ in(unordered_pair(unordered_pair(X3,X1),singleton(X3)),cartesian_product2(X4,X2)) ),
i_0_38 ).
cnf(c_0_112,plain,
( in(X1,esk13_0)
| ~ in(X1,relation_dom(esk15_0)) ),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_113,plain,
( in(X1,X2)
| ~ in(unordered_pair(unordered_pair(X1,X3),singleton(X3)),cartesian_product2(X4,X2)) ),
inference(spm,[status(thm)],[c_0_111,c_0_70]) ).
cnf(c_0_114,plain,
( in(unordered_pair(unordered_pair(X1,esk5_3(esk15_0,relation_rng(esk15_0),X1)),singleton(esk5_3(esk15_0,relation_rng(esk15_0),X1))),cartesian_product2(esk13_0,esk14_0))
| ~ in(X1,relation_rng(esk15_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_72]),c_0_94])]),c_0_108]) ).
cnf(c_0_115,plain,
( subset(X1,X2)
| ~ in(esk1_2(X1,X2),X2) ),
i_0_4 ).
cnf(c_0_116,plain,
( in(esk1_2(relation_dom(esk15_0),X1),esk13_0)
| subset(relation_dom(esk15_0),X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_78]) ).
cnf(c_0_117,plain,
( in(X1,esk14_0)
| ~ in(X1,relation_rng(esk15_0)) ),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_118,plain,
subset(relation_dom(esk15_0),esk13_0),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_119,plain,
( in(esk1_2(relation_rng(esk15_0),X1),esk14_0)
| subset(relation_rng(esk15_0),X1) ),
inference(spm,[status(thm)],[c_0_117,c_0_78]) ).
cnf(c_0_120,negated_conjecture,
~ subset(relation_rng(esk15_0),esk14_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_118])]) ).
cnf(c_0_121,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_119]),c_0_120]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU262+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n004.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 20 12:54:25 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 10.36/2.82 # ENIGMATIC: Solved by autoschedule-lgb:
% 10.36/2.82 # No SInE strategy applied
% 10.36/2.82 # Trying AutoSched0 for 150 seconds
% 10.36/2.82 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 10.36/2.82 # and selection function SelectComplexExceptUniqMaxHorn.
% 10.36/2.82 #
% 10.36/2.82 # Preprocessing time : 0.021 s
% 10.36/2.82 # Presaturation interreduction done
% 10.36/2.82
% 10.36/2.82 # Proof found!
% 10.36/2.82 # SZS status Theorem
% 10.36/2.82 # SZS output start CNFRefutation
% See solution above
% 10.36/2.82 # Training examples: 0 positive, 0 negative
% 10.36/2.82
% 10.36/2.82 # -------------------------------------------------
% 10.36/2.82 # User time : 0.293 s
% 10.36/2.82 # System time : 0.007 s
% 10.36/2.82 # Total time : 0.300 s
% 10.36/2.82 # Maximum resident set size: 7124 pages
% 10.36/2.82
%------------------------------------------------------------------------------