TSTP Solution File: NUM404+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM404+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n015.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 08:35:42 EDT 2022
% Result : Theorem 8.16s 2.42s
% Output : CNFRefutation 8.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 15
% Syntax : Number of clauses : 42 ( 5 unt; 16 nHn; 32 RR)
% Number of literals : 94 ( 5 equ; 34 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 46 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_81,plain,
( ordinal(X1)
| ~ ordinal(X2)
| ~ in(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rg2h7sdm/input.p',i_0_81) ).
cnf(i_0_23,plain,
( subset(X1,X2)
| in(esk4_2(X1,X2),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rg2h7sdm/input.p',i_0_23) ).
cnf(i_0_84,negated_conjecture,
( in(X1,esk19_0)
| ~ ordinal(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rg2h7sdm/input.p',i_0_84) ).
cnf(i_0_85,negated_conjecture,
( ordinal(X1)
| ~ in(X1,esk19_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rg2h7sdm/input.p',i_0_85) ).
cnf(i_0_20,plain,
( epsilon_connected(X1)
| in(esk2_1(X1),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rg2h7sdm/input.p',i_0_20) ).
cnf(i_0_22,plain,
( subset(X1,X2)
| ~ in(esk4_2(X1,X2),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rg2h7sdm/input.p',i_0_22) ).
cnf(i_0_14,plain,
( epsilon_transitive(X1)
| in(esk1_1(X1),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rg2h7sdm/input.p',i_0_14) ).
cnf(i_0_82,plain,
( X1 = X2
| in(X2,X1)
| in(X1,X2)
| ~ ordinal(X2)
| ~ ordinal(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rg2h7sdm/input.p',i_0_82) ).
cnf(i_0_19,plain,
( epsilon_connected(X1)
| in(esk3_1(X1),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rg2h7sdm/input.p',i_0_19) ).
cnf(i_0_13,plain,
( epsilon_transitive(X1)
| ~ subset(esk1_1(X1),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rg2h7sdm/input.p',i_0_13) ).
cnf(i_0_18,plain,
( epsilon_connected(X1)
| ~ in(esk2_1(X1),esk3_1(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rg2h7sdm/input.p',i_0_18) ).
cnf(i_0_16,plain,
( epsilon_connected(X1)
| ~ in(esk3_1(X1),esk2_1(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rg2h7sdm/input.p',i_0_16) ).
cnf(i_0_17,plain,
( epsilon_connected(X1)
| esk3_1(X1) != esk2_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rg2h7sdm/input.p',i_0_17) ).
cnf(i_0_9,plain,
( ordinal(X1)
| ~ epsilon_transitive(X1)
| ~ epsilon_connected(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rg2h7sdm/input.p',i_0_9) ).
cnf(i_0_1,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rg2h7sdm/input.p',i_0_1) ).
cnf(c_0_101,plain,
( ordinal(X1)
| ~ ordinal(X2)
| ~ in(X1,X2) ),
i_0_81 ).
cnf(c_0_102,plain,
( subset(X1,X2)
| in(esk4_2(X1,X2),X1) ),
i_0_23 ).
cnf(c_0_103,negated_conjecture,
( in(X1,esk19_0)
| ~ ordinal(X1) ),
i_0_84 ).
cnf(c_0_104,plain,
( subset(X1,X2)
| ordinal(esk4_2(X1,X2))
| ~ ordinal(X1) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_105,negated_conjecture,
( ordinal(X1)
| ~ in(X1,esk19_0) ),
i_0_85 ).
cnf(c_0_106,plain,
( epsilon_connected(X1)
| in(esk2_1(X1),X1) ),
i_0_20 ).
cnf(c_0_107,plain,
( subset(X1,X2)
| ~ in(esk4_2(X1,X2),X2) ),
i_0_22 ).
cnf(c_0_108,negated_conjecture,
( in(esk4_2(X1,X2),esk19_0)
| subset(X1,X2)
| ~ ordinal(X1) ),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_109,plain,
( epsilon_transitive(X1)
| in(esk1_1(X1),X1) ),
i_0_14 ).
cnf(c_0_110,plain,
( X1 = X2
| in(X2,X1)
| in(X1,X2)
| ~ ordinal(X2)
| ~ ordinal(X1) ),
i_0_82 ).
cnf(c_0_111,negated_conjecture,
( epsilon_connected(esk19_0)
| ordinal(esk2_1(esk19_0)) ),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_112,plain,
( epsilon_connected(X1)
| in(esk3_1(X1),X1) ),
i_0_19 ).
cnf(c_0_113,plain,
( epsilon_transitive(X1)
| ~ subset(esk1_1(X1),X1) ),
i_0_13 ).
cnf(c_0_114,plain,
( subset(X1,esk19_0)
| ~ ordinal(X1) ),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_115,negated_conjecture,
( epsilon_transitive(esk19_0)
| ordinal(esk1_1(esk19_0)) ),
inference(spm,[status(thm)],[c_0_105,c_0_109]) ).
cnf(c_0_116,plain,
( epsilon_connected(X1)
| ~ in(esk2_1(X1),esk3_1(X1)) ),
i_0_18 ).
cnf(c_0_117,negated_conjecture,
( esk2_1(esk19_0) = X1
| in(esk2_1(esk19_0),X1)
| in(X1,esk2_1(esk19_0))
| epsilon_connected(esk19_0)
| ~ ordinal(X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_118,negated_conjecture,
( epsilon_connected(esk19_0)
| ordinal(esk3_1(esk19_0)) ),
inference(spm,[status(thm)],[c_0_105,c_0_112]) ).
cnf(c_0_119,plain,
( epsilon_connected(X1)
| ~ in(esk3_1(X1),esk2_1(X1)) ),
i_0_16 ).
cnf(c_0_120,plain,
( epsilon_connected(X1)
| esk3_1(X1) != esk2_1(X1) ),
i_0_17 ).
cnf(c_0_121,plain,
( ordinal(X1)
| ~ epsilon_transitive(X1)
| ~ epsilon_connected(X1) ),
i_0_9 ).
cnf(c_0_122,plain,
epsilon_transitive(esk19_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_115]) ).
cnf(c_0_123,plain,
epsilon_connected(esk19_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_118]),c_0_119]),c_0_120]) ).
cnf(c_0_124,plain,
ordinal(esk19_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_123])]) ).
cnf(c_0_125,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
i_0_1 ).
cnf(c_0_126,negated_conjecture,
in(esk19_0,esk19_0),
inference(spm,[status(thm)],[c_0_103,c_0_124]) ).
cnf(c_0_127,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_126])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM404+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.33 % Computer : n015.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Wed Jul 6 08:29:35 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected complete mode:
% 8.16/2.42 # ENIGMATIC: Solved by autoschedule:
% 8.16/2.42 # No SInE strategy applied
% 8.16/2.42 # Trying AutoSched0 for 150 seconds
% 8.16/2.42 # AutoSched0-Mode selected heuristic G_E___208_B07_F1_SE_CS_SP_PS_S2q
% 8.16/2.42 # and selection function SelectCQArNTNp.
% 8.16/2.42 #
% 8.16/2.42 # Preprocessing time : 0.024 s
% 8.16/2.42 # Presaturation interreduction done
% 8.16/2.42
% 8.16/2.42 # Proof found!
% 8.16/2.42 # SZS status Theorem
% 8.16/2.42 # SZS output start CNFRefutation
% See solution above
% 8.16/2.43 # Training examples: 0 positive, 0 negative
% 8.16/2.43
% 8.16/2.43 # -------------------------------------------------
% 8.16/2.43 # User time : 0.090 s
% 8.16/2.43 # System time : 0.008 s
% 8.16/2.43 # Total time : 0.097 s
% 8.16/2.43 # Maximum resident set size: 7124 pages
% 8.16/2.43
%------------------------------------------------------------------------------