TSTP Solution File: NUM397+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM397+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n019.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 : Mon Jul 18 08:35:40 EDT 2022
% Result : Theorem 16.35s 3.39s
% Output : CNFRefutation 16.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 21
% Syntax : Number of clauses : 62 ( 5 unt; 12 nHn; 56 RR)
% Number of literals : 153 ( 8 equ; 82 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-3 aty)
% Number of variables : 97 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_91,plain,
( element(X1,X2)
| ~ in(X1,X3)
| ~ element(X3,powerset(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yc06ikl2/lgb.p',i_0_91) ).
cnf(i_0_89,plain,
( element(X1,powerset(X2))
| ~ subset(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yc06ikl2/lgb.p',i_0_89) ).
cnf(i_0_16,plain,
( subset(X1,X2)
| ~ epsilon_transitive(X2)
| ~ in(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yc06ikl2/lgb.p',i_0_16) ).
cnf(i_0_31,plain,
( in(X1,esk4_3(X2,X3,X1))
| X3 != union(X2)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yc06ikl2/lgb.p',i_0_31) ).
cnf(i_0_30,plain,
( in(esk4_3(X1,X2,X3),X1)
| X2 != union(X1)
| ~ in(X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yc06ikl2/lgb.p',i_0_30) ).
cnf(i_0_94,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yc06ikl2/lgb.p',i_0_94) ).
cnf(i_0_84,plain,
( ordinal(X1)
| ~ ordinal(X2)
| ~ in(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yc06ikl2/lgb.p',i_0_84) ).
cnf(i_0_86,plain,
( empty(X1)
| in(X2,X1)
| ~ element(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yc06ikl2/lgb.p',i_0_86) ).
cnf(i_0_14,plain,
( epsilon_transitive(X1)
| ~ subset(esk1_1(X1),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yc06ikl2/lgb.p',i_0_14) ).
cnf(i_0_96,plain,
( subset(X1,union(X2))
| ~ in(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yc06ikl2/lgb.p',i_0_96) ).
cnf(i_0_15,plain,
( epsilon_transitive(X1)
| in(esk1_1(X1),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yc06ikl2/lgb.p',i_0_15) ).
cnf(i_0_19,plain,
( epsilon_connected(X1)
| ~ in(esk2_1(X1),esk3_1(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yc06ikl2/lgb.p',i_0_19) ).
cnf(i_0_85,plain,
( X1 = X2
| in(X2,X1)
| in(X1,X2)
| ~ ordinal(X2)
| ~ ordinal(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yc06ikl2/lgb.p',i_0_85) ).
cnf(i_0_17,plain,
( epsilon_connected(X1)
| ~ in(esk3_1(X1),esk2_1(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yc06ikl2/lgb.p',i_0_17) ).
cnf(i_0_18,plain,
( epsilon_connected(X1)
| esk3_1(X1) != esk2_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yc06ikl2/lgb.p',i_0_18) ).
cnf(i_0_21,plain,
( epsilon_connected(X1)
| in(esk2_1(X1),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yc06ikl2/lgb.p',i_0_21) ).
cnf(i_0_20,plain,
( epsilon_connected(X1)
| in(esk3_1(X1),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yc06ikl2/lgb.p',i_0_20) ).
cnf(i_0_9,plain,
( ordinal(X1)
| ~ epsilon_transitive(X1)
| ~ epsilon_connected(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yc06ikl2/lgb.p',i_0_9) ).
cnf(i_0_4,plain,
( epsilon_transitive(X1)
| ~ ordinal(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yc06ikl2/lgb.p',i_0_4) ).
cnf(i_0_87,negated_conjecture,
~ ordinal(union(esk20_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yc06ikl2/lgb.p',i_0_87) ).
cnf(i_0_88,negated_conjecture,
ordinal(esk20_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yc06ikl2/lgb.p',i_0_88) ).
cnf(c_0_118,plain,
( element(X1,X2)
| ~ in(X1,X3)
| ~ element(X3,powerset(X2)) ),
i_0_91 ).
cnf(c_0_119,plain,
( element(X1,powerset(X2))
| ~ subset(X1,X2) ),
i_0_89 ).
cnf(c_0_120,plain,
( element(X1,X2)
| ~ subset(X3,X2)
| ~ in(X1,X3) ),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_121,plain,
( subset(X1,X2)
| ~ epsilon_transitive(X2)
| ~ in(X1,X2) ),
i_0_16 ).
cnf(c_0_122,plain,
( in(X1,esk4_3(X2,X3,X1))
| X3 != union(X2)
| ~ in(X1,X3) ),
i_0_31 ).
cnf(c_0_123,plain,
( element(X1,X2)
| ~ epsilon_transitive(X2)
| ~ in(X1,X3)
| ~ in(X3,X2) ),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_124,plain,
( in(X1,esk4_3(X2,union(X2),X1))
| ~ in(X1,union(X2)) ),
inference(er,[status(thm)],[c_0_122]) ).
cnf(c_0_125,plain,
( in(esk4_3(X1,X2,X3),X1)
| X2 != union(X1)
| ~ in(X3,X2) ),
i_0_30 ).
cnf(c_0_126,plain,
( element(X1,X2)
| ~ epsilon_transitive(X2)
| ~ in(esk4_3(X3,union(X3),X1),X2)
| ~ in(X1,union(X3)) ),
inference(spm,[status(thm)],[c_0_123,c_0_124]) ).
cnf(c_0_127,plain,
( in(esk4_3(X1,union(X1),X2),X1)
| ~ in(X2,union(X1)) ),
inference(er,[status(thm)],[c_0_125]) ).
cnf(c_0_128,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
i_0_94 ).
cnf(c_0_129,plain,
( ordinal(X1)
| ~ ordinal(X2)
| ~ in(X1,X2) ),
i_0_84 ).
cnf(c_0_130,plain,
( empty(X1)
| in(X2,X1)
| ~ element(X2,X1) ),
i_0_86 ).
cnf(c_0_131,plain,
( element(X1,X2)
| ~ epsilon_transitive(X2)
| ~ in(X1,union(X2)) ),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
cnf(c_0_132,plain,
( ~ empty(X1)
| ~ in(X2,union(X1)) ),
inference(spm,[status(thm)],[c_0_128,c_0_127]) ).
cnf(c_0_133,plain,
( epsilon_transitive(X1)
| ~ subset(esk1_1(X1),X1) ),
i_0_14 ).
cnf(c_0_134,plain,
( subset(X1,union(X2))
| ~ in(X1,X2) ),
i_0_96 ).
cnf(c_0_135,plain,
( ordinal(X1)
| ~ in(X1,union(X2))
| ~ ordinal(esk4_3(X2,union(X2),X1)) ),
inference(spm,[status(thm)],[c_0_129,c_0_124]) ).
cnf(c_0_136,plain,
( ordinal(esk4_3(X1,union(X1),X2))
| ~ in(X2,union(X1))
| ~ ordinal(X1) ),
inference(spm,[status(thm)],[c_0_129,c_0_127]) ).
cnf(c_0_137,plain,
( in(X1,X2)
| ~ epsilon_transitive(X2)
| ~ in(X1,union(X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_132]) ).
cnf(c_0_138,plain,
( epsilon_transitive(X1)
| in(esk1_1(X1),X1) ),
i_0_15 ).
cnf(c_0_139,plain,
( epsilon_transitive(union(X1))
| ~ in(esk1_1(union(X1)),X1) ),
inference(spm,[status(thm)],[c_0_133,c_0_134]) ).
cnf(c_0_140,plain,
( epsilon_connected(X1)
| ~ in(esk2_1(X1),esk3_1(X1)) ),
i_0_19 ).
cnf(c_0_141,plain,
( X1 = X2
| in(X2,X1)
| in(X1,X2)
| ~ ordinal(X2)
| ~ ordinal(X1) ),
i_0_85 ).
cnf(c_0_142,plain,
( epsilon_connected(X1)
| ~ in(esk3_1(X1),esk2_1(X1)) ),
i_0_17 ).
cnf(c_0_143,plain,
( epsilon_connected(X1)
| esk3_1(X1) != esk2_1(X1) ),
i_0_18 ).
cnf(c_0_144,plain,
( ordinal(X1)
| ~ in(X1,union(X2))
| ~ ordinal(X2) ),
inference(spm,[status(thm)],[c_0_135,c_0_136]) ).
cnf(c_0_145,plain,
( epsilon_connected(X1)
| in(esk2_1(X1),X1) ),
i_0_21 ).
cnf(c_0_146,plain,
( epsilon_connected(X1)
| in(esk3_1(X1),X1) ),
i_0_20 ).
cnf(c_0_147,plain,
( ordinal(X1)
| ~ epsilon_transitive(X1)
| ~ epsilon_connected(X1) ),
i_0_9 ).
cnf(c_0_148,plain,
( epsilon_transitive(union(X1))
| ~ epsilon_transitive(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_139]) ).
cnf(c_0_149,plain,
( epsilon_connected(X1)
| ~ ordinal(esk2_1(X1))
| ~ ordinal(esk3_1(X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_142]),c_0_143]) ).
cnf(c_0_150,plain,
( epsilon_connected(union(X1))
| ordinal(esk2_1(union(X1)))
| ~ ordinal(X1) ),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_151,plain,
( epsilon_connected(union(X1))
| ordinal(esk3_1(union(X1)))
| ~ ordinal(X1) ),
inference(spm,[status(thm)],[c_0_144,c_0_146]) ).
cnf(c_0_152,plain,
( ordinal(union(X1))
| ~ epsilon_transitive(X1)
| ~ epsilon_connected(union(X1)) ),
inference(spm,[status(thm)],[c_0_147,c_0_148]) ).
cnf(c_0_153,plain,
( epsilon_connected(union(X1))
| ~ ordinal(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_151]) ).
cnf(c_0_154,plain,
( epsilon_transitive(X1)
| ~ ordinal(X1) ),
i_0_4 ).
cnf(c_0_155,negated_conjecture,
~ ordinal(union(esk20_0)),
i_0_87 ).
cnf(c_0_156,plain,
( ordinal(union(X1))
| ~ ordinal(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_154]) ).
cnf(c_0_157,negated_conjecture,
ordinal(esk20_0),
i_0_88 ).
cnf(c_0_158,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_157])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM397+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n019.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 : Tue Jul 5 13:44:40 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 16.35/3.39 # ENIGMATIC: Solved by autoschedule-lgb:
% 16.35/3.39 # No SInE strategy applied
% 16.35/3.39 # Trying AutoSched0 for 150 seconds
% 16.35/3.39 # AutoSched0-Mode selected heuristic G_____0017_C18_F1_SE_CS_SP_S4Y
% 16.35/3.39 # and selection function SelectMaxLComplexAPPNTNp.
% 16.35/3.39 #
% 16.35/3.39 # Preprocessing time : 0.024 s
% 16.35/3.39
% 16.35/3.39 # Proof found!
% 16.35/3.39 # SZS status Theorem
% 16.35/3.39 # SZS output start CNFRefutation
% See solution above
% 16.35/3.39 # Training examples: 0 positive, 0 negative
% 16.35/3.39
% 16.35/3.39 # -------------------------------------------------
% 16.35/3.39 # User time : 1.031 s
% 16.35/3.39 # System time : 0.047 s
% 16.35/3.39 # Total time : 1.078 s
% 16.35/3.39 # Maximum resident set size: 7128 pages
% 16.35/3.39
%------------------------------------------------------------------------------