TSTP Solution File: SEU271+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU271+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n013.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 08:40:17 EDT 2022
% Result : Theorem 8.40s 2.47s
% Output : CNFRefutation 8.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of clauses : 51 ( 16 unt; 17 nHn; 29 RR)
% Number of literals : 115 ( 16 equ; 49 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-2 aty)
% Number of variables : 67 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_29,plain,
( is_antisymmetric_in(X1,X2)
| in(esk4_2(X1,X2),X2)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q543l5rs/lgb.p',i_0_29) ).
cnf(i_0_36,plain,
relation(inclusion_relation(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q543l5rs/lgb.p',i_0_36) ).
cnf(i_0_25,plain,
( relation_field(X1) = X2
| X1 != inclusion_relation(X2)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q543l5rs/lgb.p',i_0_25) ).
cnf(i_0_17,plain,
( antisymmetric(X1)
| ~ relation(X1)
| ~ is_antisymmetric_in(X1,relation_field(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q543l5rs/lgb.p',i_0_17) ).
cnf(i_0_30,plain,
( is_antisymmetric_in(X1,X2)
| in(esk3_2(X1,X2),X2)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q543l5rs/lgb.p',i_0_30) ).
cnf(i_0_24,plain,
( subset(X1,X2)
| X3 != inclusion_relation(X4)
| ~ relation(X3)
| ~ in(X2,X4)
| ~ in(X1,X4)
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q543l5rs/lgb.p',i_0_24) ).
cnf(i_0_94,negated_conjecture,
~ antisymmetric(inclusion_relation(esk15_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q543l5rs/lgb.p',i_0_94) ).
cnf(i_0_28,plain,
( is_antisymmetric_in(X1,X2)
| in(unordered_pair(unordered_pair(esk3_2(X1,X2),esk4_2(X1,X2)),singleton(esk3_2(X1,X2))),X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q543l5rs/lgb.p',i_0_28) ).
cnf(i_0_27,plain,
( is_antisymmetric_in(X1,X2)
| in(unordered_pair(unordered_pair(esk4_2(X1,X2),esk3_2(X1,X2)),singleton(esk4_2(X1,X2))),X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q543l5rs/lgb.p',i_0_27) ).
cnf(i_0_12,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q543l5rs/lgb.p',i_0_12) ).
cnf(i_0_14,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q543l5rs/lgb.p',i_0_14) ).
cnf(i_0_26,plain,
( is_antisymmetric_in(X1,X2)
| esk4_2(X1,X2) != esk3_2(X1,X2)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q543l5rs/lgb.p',i_0_26) ).
cnf(c_0_107,plain,
( is_antisymmetric_in(X1,X2)
| in(esk4_2(X1,X2),X2)
| ~ relation(X1) ),
i_0_29 ).
cnf(c_0_108,plain,
relation(inclusion_relation(X1)),
i_0_36 ).
cnf(c_0_109,plain,
( relation_field(X1) = X2
| X1 != inclusion_relation(X2)
| ~ relation(X1) ),
i_0_25 ).
cnf(c_0_110,plain,
( antisymmetric(X1)
| ~ relation(X1)
| ~ is_antisymmetric_in(X1,relation_field(X1)) ),
i_0_17 ).
cnf(c_0_111,plain,
( in(esk4_2(inclusion_relation(X1),X2),X2)
| is_antisymmetric_in(inclusion_relation(X1),X2) ),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_112,plain,
relation_field(inclusion_relation(X1)) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_109]),c_0_108])]) ).
cnf(c_0_113,plain,
( is_antisymmetric_in(X1,X2)
| in(esk3_2(X1,X2),X2)
| ~ relation(X1) ),
i_0_30 ).
cnf(c_0_114,plain,
( subset(X1,X2)
| X3 != inclusion_relation(X4)
| ~ relation(X3)
| ~ in(X2,X4)
| ~ in(X1,X4)
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3) ),
i_0_24 ).
cnf(c_0_115,negated_conjecture,
~ antisymmetric(inclusion_relation(esk15_0)),
i_0_94 ).
cnf(c_0_116,plain,
( in(esk4_2(inclusion_relation(X1),X1),X1)
| antisymmetric(inclusion_relation(X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_112]),c_0_112]),c_0_108])]) ).
cnf(c_0_117,plain,
( in(esk3_2(inclusion_relation(X1),X2),X2)
| is_antisymmetric_in(inclusion_relation(X1),X2) ),
inference(spm,[status(thm)],[c_0_113,c_0_108]) ).
cnf(c_0_118,plain,
( is_antisymmetric_in(X1,X2)
| in(unordered_pair(unordered_pair(esk3_2(X1,X2),esk4_2(X1,X2)),singleton(esk3_2(X1,X2))),X1)
| ~ relation(X1) ),
i_0_28 ).
cnf(c_0_119,plain,
( is_antisymmetric_in(X1,X2)
| in(unordered_pair(unordered_pair(esk4_2(X1,X2),esk3_2(X1,X2)),singleton(esk4_2(X1,X2))),X1)
| ~ relation(X1) ),
i_0_27 ).
cnf(c_0_120,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
i_0_12 ).
cnf(c_0_121,plain,
( subset(X1,X2)
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),inclusion_relation(X3))
| ~ in(X2,X3)
| ~ in(X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_114]),c_0_108])]) ).
cnf(c_0_122,negated_conjecture,
in(esk4_2(inclusion_relation(esk15_0),esk15_0),esk15_0),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_123,plain,
( in(esk3_2(inclusion_relation(X1),X1),X1)
| antisymmetric(inclusion_relation(X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_117]),c_0_112]),c_0_112]),c_0_108])]) ).
cnf(c_0_124,plain,
( in(unordered_pair(unordered_pair(esk3_2(inclusion_relation(X1),X2),esk4_2(inclusion_relation(X1),X2)),singleton(esk3_2(inclusion_relation(X1),X2))),inclusion_relation(X1))
| is_antisymmetric_in(inclusion_relation(X1),X2) ),
inference(spm,[status(thm)],[c_0_118,c_0_108]) ).
cnf(c_0_125,plain,
( in(unordered_pair(unordered_pair(esk3_2(X1,X2),esk4_2(X1,X2)),singleton(esk4_2(X1,X2))),X1)
| is_antisymmetric_in(X1,X2)
| ~ relation(X1) ),
inference(rw,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_126,plain,
( subset(X1,esk4_2(inclusion_relation(esk15_0),esk15_0))
| ~ in(unordered_pair(unordered_pair(X1,esk4_2(inclusion_relation(esk15_0),esk15_0)),singleton(X1)),inclusion_relation(esk15_0))
| ~ in(X1,esk15_0) ),
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_127,negated_conjecture,
in(esk3_2(inclusion_relation(esk15_0),esk15_0),esk15_0),
inference(spm,[status(thm)],[c_0_115,c_0_123]) ).
cnf(c_0_128,plain,
( in(unordered_pair(unordered_pair(esk3_2(inclusion_relation(X1),X1),esk4_2(inclusion_relation(X1),X1)),singleton(esk3_2(inclusion_relation(X1),X1))),inclusion_relation(X1))
| antisymmetric(inclusion_relation(X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_124]),c_0_112]),c_0_112]),c_0_112]),c_0_108])]) ).
cnf(c_0_129,plain,
( in(unordered_pair(unordered_pair(esk3_2(inclusion_relation(X1),X2),esk4_2(inclusion_relation(X1),X2)),singleton(esk4_2(inclusion_relation(X1),X2))),inclusion_relation(X1))
| is_antisymmetric_in(inclusion_relation(X1),X2) ),
inference(spm,[status(thm)],[c_0_125,c_0_108]) ).
cnf(c_0_130,negated_conjecture,
( subset(esk3_2(inclusion_relation(esk15_0),esk15_0),esk4_2(inclusion_relation(esk15_0),esk15_0))
| ~ in(unordered_pair(unordered_pair(esk3_2(inclusion_relation(esk15_0),esk15_0),esk4_2(inclusion_relation(esk15_0),esk15_0)),singleton(esk3_2(inclusion_relation(esk15_0),esk15_0))),inclusion_relation(esk15_0)) ),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
cnf(c_0_131,negated_conjecture,
in(unordered_pair(unordered_pair(esk3_2(inclusion_relation(esk15_0),esk15_0),esk4_2(inclusion_relation(esk15_0),esk15_0)),singleton(esk3_2(inclusion_relation(esk15_0),esk15_0))),inclusion_relation(esk15_0)),
inference(spm,[status(thm)],[c_0_115,c_0_128]) ).
cnf(c_0_132,plain,
( subset(X1,esk3_2(inclusion_relation(esk15_0),esk15_0))
| ~ in(unordered_pair(unordered_pair(X1,esk3_2(inclusion_relation(esk15_0),esk15_0)),singleton(X1)),inclusion_relation(esk15_0))
| ~ in(X1,esk15_0) ),
inference(spm,[status(thm)],[c_0_121,c_0_127]) ).
cnf(c_0_133,plain,
( in(unordered_pair(unordered_pair(esk3_2(inclusion_relation(X1),X1),esk4_2(inclusion_relation(X1),X1)),singleton(esk4_2(inclusion_relation(X1),X1))),inclusion_relation(X1))
| antisymmetric(inclusion_relation(X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_129]),c_0_112]),c_0_112]),c_0_112]),c_0_108])]) ).
cnf(c_0_134,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
i_0_14 ).
cnf(c_0_135,negated_conjecture,
subset(esk3_2(inclusion_relation(esk15_0),esk15_0),esk4_2(inclusion_relation(esk15_0),esk15_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_130,c_0_131])]) ).
cnf(c_0_136,plain,
( subset(esk4_2(inclusion_relation(esk15_0),esk15_0),esk3_2(inclusion_relation(esk15_0),esk15_0))
| ~ in(unordered_pair(unordered_pair(esk3_2(inclusion_relation(esk15_0),esk15_0),esk4_2(inclusion_relation(esk15_0),esk15_0)),singleton(esk4_2(inclusion_relation(esk15_0),esk15_0))),inclusion_relation(esk15_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_122]),c_0_120]) ).
cnf(c_0_137,negated_conjecture,
in(unordered_pair(unordered_pair(esk3_2(inclusion_relation(esk15_0),esk15_0),esk4_2(inclusion_relation(esk15_0),esk15_0)),singleton(esk4_2(inclusion_relation(esk15_0),esk15_0))),inclusion_relation(esk15_0)),
inference(spm,[status(thm)],[c_0_115,c_0_133]) ).
cnf(c_0_138,plain,
( is_antisymmetric_in(X1,X2)
| esk4_2(X1,X2) != esk3_2(X1,X2)
| ~ relation(X1) ),
i_0_26 ).
cnf(c_0_139,plain,
( esk4_2(inclusion_relation(esk15_0),esk15_0) = esk3_2(inclusion_relation(esk15_0),esk15_0)
| ~ subset(esk4_2(inclusion_relation(esk15_0),esk15_0),esk3_2(inclusion_relation(esk15_0),esk15_0)) ),
inference(spm,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_140,plain,
subset(esk4_2(inclusion_relation(esk15_0),esk15_0),esk3_2(inclusion_relation(esk15_0),esk15_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_136,c_0_137])]) ).
cnf(c_0_141,plain,
( is_antisymmetric_in(inclusion_relation(X1),X2)
| esk4_2(inclusion_relation(X1),X2) != esk3_2(inclusion_relation(X1),X2) ),
inference(spm,[status(thm)],[c_0_138,c_0_108]) ).
cnf(c_0_142,plain,
esk4_2(inclusion_relation(esk15_0),esk15_0) = esk3_2(inclusion_relation(esk15_0),esk15_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_139,c_0_140])]) ).
cnf(c_0_143,plain,
( antisymmetric(inclusion_relation(X1))
| ~ is_antisymmetric_in(inclusion_relation(X1),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_112]),c_0_108])]) ).
cnf(c_0_144,plain,
is_antisymmetric_in(inclusion_relation(esk15_0),esk15_0),
inference(spm,[status(thm)],[c_0_141,c_0_142]) ).
cnf(c_0_145,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_115]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : SEU271+1 : TPTP v8.1.0. Released v3.3.0.
% 0.09/0.14 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.36 % Computer : n013.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 600
% 0.13/0.36 % DateTime : Sun Jun 19 14:21:15 EDT 2022
% 0.13/0.36 % CPUTime :
% 0.21/0.48 # ENIGMATIC: Selected complete mode:
% 8.40/2.47 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.40/2.47 # No SInE strategy applied
% 8.40/2.47 # Trying AutoSched0 for 150 seconds
% 8.40/2.47 # AutoSched0-Mode selected heuristic G_E___208_B00_00_F1_SE_CS_SP_PS_S071I
% 8.40/2.47 # and selection function SelectCQArEqLast.
% 8.40/2.47 #
% 8.40/2.47 # Preprocessing time : 0.023 s
% 8.40/2.47 # Presaturation interreduction done
% 8.40/2.47
% 8.40/2.47 # Proof found!
% 8.40/2.47 # SZS status Theorem
% 8.40/2.47 # SZS output start CNFRefutation
% See solution above
% 8.40/2.47 # Training examples: 0 positive, 0 negative
% 8.40/2.47
% 8.40/2.47 # -------------------------------------------------
% 8.40/2.47 # User time : 0.032 s
% 8.40/2.47 # System time : 0.009 s
% 8.40/2.47 # Total time : 0.041 s
% 8.40/2.47 # Maximum resident set size: 7128 pages
% 8.40/2.47
%------------------------------------------------------------------------------