%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU256+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n021.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 08:40:08 EDT 2022
% Result : Theorem 20.03s 3.93s
% Output : CNFRefutation 20.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 20
% Syntax : Number of clauses : 56 ( 7 unt; 21 nHn; 38 RR)
% Number of literals : 167 ( 13 equ; 97 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 117 ( 14 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_60,plain,
( element(X1,X2)
| ~ in(X1,X3)
| ~ element(X3,powerset(X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vloc32ii/input.p',i_0_60) ).
cnf(i_0_55,plain,
( element(X1,powerset(X2))
| ~ subset(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vloc32ii/input.p',i_0_55) ).
cnf(i_0_61,plain,
( ~ empty(X1)
| ~ in(X2,X3)
| ~ element(X3,powerset(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vloc32ii/input.p',i_0_61) ).
cnf(i_0_58,plain,
( disjoint(X1,X2)
| in(esk11_2(X1,X2),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vloc32ii/input.p',i_0_58) ).
cnf(i_0_57,plain,
( ~ in(X1,X2)
| ~ in(X1,X3)
| ~ disjoint(X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vloc32ii/input.p',i_0_57) ).
cnf(i_0_11,plain,
( X1 = empty_set
| disjoint(fiber(X2,esk1_2(X2,X1)),X1)
| ~ relation(X2)
| ~ well_founded_relation(X2)
| ~ subset(X1,relation_field(X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vloc32ii/input.p',i_0_11) ).
cnf(i_0_51,plain,
( empty(X1)
| in(X2,X1)
| ~ element(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vloc32ii/input.p',i_0_51) ).
cnf(i_0_49,plain,
( subset(fiber(relation_restriction(X1,X2),X3),fiber(X1,X3))
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vloc32ii/input.p',i_0_49) ).
cnf(i_0_59,plain,
( disjoint(X1,X2)
| in(esk11_2(X1,X2),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vloc32ii/input.p',i_0_59) ).
cnf(i_0_46,plain,
( subset(X1,X2)
| ~ subset(X3,X2)
| ~ subset(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vloc32ii/input.p',i_0_46) ).
cnf(i_0_48,plain,
( subset(relation_field(relation_restriction(X1,X2)),relation_field(X1))
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vloc32ii/input.p',i_0_48) ).
cnf(i_0_43,plain,
( disjoint(X1,X2)
| ~ disjoint(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vloc32ii/input.p',i_0_43) ).
cnf(i_0_10,plain,
( well_founded_relation(X1)
| subset(esk2_1(X1),relation_field(X1))
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vloc32ii/input.p',i_0_10) ).
cnf(i_0_20,plain,
( relation(relation_restriction(X1,X2))
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vloc32ii/input.p',i_0_20) ).
cnf(i_0_8,plain,
( well_founded_relation(X1)
| ~ relation(X1)
| ~ in(X2,esk2_1(X1))
| ~ disjoint(fiber(X1,X2),esk2_1(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vloc32ii/input.p',i_0_8) ).
cnf(i_0_12,plain,
( X1 = empty_set
| in(esk1_2(X2,X1),X1)
| ~ relation(X2)
| ~ well_founded_relation(X2)
| ~ subset(X1,relation_field(X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vloc32ii/input.p',i_0_12) ).
cnf(i_0_9,plain,
( well_founded_relation(X1)
| esk2_1(X1) != empty_set
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vloc32ii/input.p',i_0_9) ).
cnf(i_0_52,negated_conjecture,
~ well_founded_relation(relation_restriction(esk10_0,esk9_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vloc32ii/input.p',i_0_52) ).
cnf(i_0_53,negated_conjecture,
well_founded_relation(esk10_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vloc32ii/input.p',i_0_53) ).
cnf(i_0_54,negated_conjecture,
relation(esk10_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vloc32ii/input.p',i_0_54) ).
cnf(c_0_82,plain,
( element(X1,X2)
| ~ in(X1,X3)
| ~ element(X3,powerset(X2)) ),
i_0_60 ).
cnf(c_0_83,plain,
( element(X1,powerset(X2))
| ~ subset(X1,X2) ),
i_0_55 ).
cnf(c_0_84,plain,
( ~ empty(X1)
| ~ in(X2,X3)
| ~ element(X3,powerset(X1)) ),
i_0_61 ).
cnf(c_0_85,plain,
( element(X1,X2)
| ~ in(X1,X3)
| ~ subset(X3,X2) ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_86,plain,
( disjoint(X1,X2)
| in(esk11_2(X1,X2),X2) ),
i_0_58 ).
cnf(c_0_87,plain,
( ~ in(X1,X2)
| ~ subset(X2,X3)
| ~ empty(X3) ),
inference(spm,[status(thm)],[c_0_84,c_0_83]) ).
cnf(c_0_88,plain,
( ~ in(X1,X2)
| ~ in(X1,X3)
| ~ disjoint(X3,X2) ),
i_0_57 ).
cnf(c_0_89,plain,
( X1 = empty_set
| disjoint(fiber(X2,esk1_2(X2,X1)),X1)
| ~ relation(X2)
| ~ well_founded_relation(X2)
| ~ subset(X1,relation_field(X2)) ),
i_0_11 ).
cnf(c_0_90,plain,
( empty(X1)
| in(X2,X1)
| ~ element(X2,X1) ),
i_0_51 ).
cnf(c_0_91,plain,
( disjoint(X1,X2)
| element(esk11_2(X1,X2),X3)
| ~ subset(X2,X3) ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_92,plain,
( disjoint(X1,X2)
| ~ subset(X2,X3)
| ~ empty(X3) ),
inference(spm,[status(thm)],[c_0_87,c_0_86]) ).
cnf(c_0_93,plain,
( X1 = empty_set
| ~ in(X2,fiber(X3,esk1_2(X3,X1)))
| ~ in(X2,X1)
| ~ subset(X1,relation_field(X3))
| ~ well_founded_relation(X3)
| ~ relation(X3) ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_94,plain,
( disjoint(X1,X2)
| in(esk11_2(X1,X2),X3)
| ~ subset(X2,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_92]) ).
cnf(c_0_95,plain,
( X1 = empty_set
| disjoint(X2,X3)
| ~ in(esk11_2(X2,X3),X1)
| ~ subset(X3,fiber(X4,esk1_2(X4,X1)))
| ~ subset(X1,relation_field(X4))
| ~ well_founded_relation(X4)
| ~ relation(X4) ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_96,plain,
( subset(fiber(relation_restriction(X1,X2),X3),fiber(X1,X3))
| ~ relation(X1) ),
i_0_49 ).
cnf(c_0_97,plain,
( X1 = empty_set
| disjoint(X2,fiber(relation_restriction(X3,X4),esk1_2(X3,X1)))
| ~ in(esk11_2(X2,fiber(relation_restriction(X3,X4),esk1_2(X3,X1))),X1)
| ~ subset(X1,relation_field(X3))
| ~ well_founded_relation(X3)
| ~ relation(X3) ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_98,plain,
( disjoint(X1,X2)
| in(esk11_2(X1,X2),X1) ),
i_0_59 ).
cnf(c_0_99,plain,
( subset(X1,X2)
| ~ subset(X3,X2)
| ~ subset(X1,X3) ),
i_0_46 ).
cnf(c_0_100,plain,
( subset(relation_field(relation_restriction(X1,X2)),relation_field(X1))
| ~ relation(X1) ),
i_0_48 ).
cnf(c_0_101,plain,
( disjoint(X1,X2)
| ~ disjoint(X2,X1) ),
i_0_43 ).
cnf(c_0_102,plain,
( X1 = empty_set
| disjoint(X1,fiber(relation_restriction(X2,X3),esk1_2(X2,X1)))
| ~ subset(X1,relation_field(X2))
| ~ well_founded_relation(X2)
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_103,plain,
( subset(X1,relation_field(X2))
| ~ subset(X1,relation_field(relation_restriction(X2,X3)))
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_104,plain,
( well_founded_relation(X1)
| subset(esk2_1(X1),relation_field(X1))
| ~ relation(X1) ),
i_0_10 ).
cnf(c_0_105,plain,
( relation(relation_restriction(X1,X2))
| ~ relation(X1) ),
i_0_20 ).
cnf(c_0_106,plain,
( well_founded_relation(X1)
| ~ relation(X1)
| ~ in(X2,esk2_1(X1))
| ~ disjoint(fiber(X1,X2),esk2_1(X1)) ),
i_0_8 ).
cnf(c_0_107,plain,
( X1 = empty_set
| disjoint(fiber(relation_restriction(X2,X3),esk1_2(X2,X1)),X1)
| ~ subset(X1,relation_field(X2))
| ~ well_founded_relation(X2)
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_108,plain,
( subset(esk2_1(relation_restriction(X1,X2)),relation_field(X1))
| well_founded_relation(relation_restriction(X1,X2))
| ~ relation(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_105]) ).
cnf(c_0_109,plain,
( esk2_1(relation_restriction(X1,X2)) = empty_set
| well_founded_relation(relation_restriction(X1,X2))
| ~ in(esk1_2(X1,esk2_1(relation_restriction(X1,X2))),esk2_1(relation_restriction(X1,X2)))
| ~ well_founded_relation(X1)
| ~ relation(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_108]),c_0_105]) ).
cnf(c_0_110,plain,
( X1 = empty_set
| in(esk1_2(X2,X1),X1)
| ~ relation(X2)
| ~ well_founded_relation(X2)
| ~ subset(X1,relation_field(X2)) ),
i_0_12 ).
cnf(c_0_111,plain,
( well_founded_relation(X1)
| esk2_1(X1) != empty_set
| ~ relation(X1) ),
i_0_9 ).
cnf(c_0_112,plain,
( esk2_1(relation_restriction(X1,X2)) = empty_set
| well_founded_relation(relation_restriction(X1,X2))
| ~ well_founded_relation(X1)
| ~ relation(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_108]) ).
cnf(c_0_113,negated_conjecture,
~ well_founded_relation(relation_restriction(esk10_0,esk9_0)),
i_0_52 ).
cnf(c_0_114,plain,
( well_founded_relation(relation_restriction(X1,X2))
| ~ well_founded_relation(X1)
| ~ relation(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_105]) ).
cnf(c_0_115,negated_conjecture,
well_founded_relation(esk10_0),
i_0_53 ).
cnf(c_0_116,negated_conjecture,
relation(esk10_0),
i_0_54 ).
cnf(c_0_117,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_115]),c_0_116])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU256+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 : n021.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 : Sun Jun 19 09:46:34 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 # ENIGMATIC: Selected complete mode:
% 20.03/3.93 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d45-l8000-e0.15+coop-mzr02:
% 20.03/3.93 # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d45-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 29; version: 991; iters: 150)
% 20.03/3.93 # Preprocessing time : 1.134 s
% 20.03/3.93
% 20.03/3.93 # Proof found!
% 20.03/3.93 # SZS status Theorem
% 20.03/3.93 # SZS output start CNFRefutation
% See solution above
% 20.03/3.94 # Training examples: 0 positive, 0 negative
% 20.03/3.94
% 20.03/3.94 # -------------------------------------------------
% 20.03/3.94 # User time : 1.182 s
% 20.03/3.94 # System time : 0.137 s
% 20.03/3.94 # Total time : 1.319 s
% 20.03/3.94 # ...preprocessing : 1.134 s
% 20.03/3.94 # ...main loop : 0.185 s
% 20.03/3.94 # Maximum resident set size: 178136 pages
% 20.03/3.94
%------------------------------------------------------------------------------