TSTP Solution File: SEU191+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU191+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n018.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 08:39:21 EDT 2022
% Result : Theorem 7.55s 2.20s
% Output : CNFRefutation 7.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of clauses : 44 ( 11 unt; 5 nHn; 40 RR)
% Number of literals : 131 ( 22 equ; 87 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-5 aty)
% Number of variables : 103 ( 11 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_9,plain,
( in(X1,X2)
| X3 != identity_relation(X2)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X1,X4),singleton(X1)),X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnzg8rrd/lgb.p',i_0_9) ).
cnf(i_0_22,plain,
relation(identity_relation(X1)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnzg8rrd/lgb.p',i_0_22) ).
cnf(i_0_8,plain,
( X1 = X2
| X3 != identity_relation(X4)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnzg8rrd/lgb.p',i_0_8) ).
cnf(i_0_3,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnzg8rrd/lgb.p',i_0_3) ).
cnf(i_0_16,plain,
( in(unordered_pair(unordered_pair(X1,esk3_5(X2,X3,X4,X1,X5)),singleton(X1)),X2)
| X4 != relation_composition(X2,X3)
| ~ relation(X4)
| ~ relation(X3)
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X1,X5),singleton(X1)),X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnzg8rrd/lgb.p',i_0_16) ).
cnf(i_0_21,plain,
( relation(relation_composition(X1,X2))
| ~ relation(X2)
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnzg8rrd/lgb.p',i_0_21) ).
cnf(i_0_45,negated_conjecture,
( in(esk12_0,esk14_0)
| in(unordered_pair(unordered_pair(esk12_0,esk13_0),singleton(esk12_0)),relation_composition(identity_relation(esk14_0),esk15_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnzg8rrd/lgb.p',i_0_45) ).
cnf(i_0_47,negated_conjecture,
relation(esk15_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnzg8rrd/lgb.p',i_0_47) ).
cnf(i_0_15,plain,
( in(unordered_pair(unordered_pair(esk3_5(X1,X2,X3,X4,X5),X5),singleton(esk3_5(X1,X2,X3,X4,X5))),X2)
| X3 != relation_composition(X1,X2)
| ~ relation(X3)
| ~ relation(X2)
| ~ relation(X1)
| ~ in(unordered_pair(unordered_pair(X4,X5),singleton(X4)),X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnzg8rrd/lgb.p',i_0_15) ).
cnf(i_0_44,negated_conjecture,
( in(unordered_pair(unordered_pair(esk12_0,esk13_0),singleton(esk12_0)),esk15_0)
| in(unordered_pair(unordered_pair(esk12_0,esk13_0),singleton(esk12_0)),relation_composition(identity_relation(esk14_0),esk15_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnzg8rrd/lgb.p',i_0_44) ).
cnf(i_0_46,negated_conjecture,
( ~ in(esk12_0,esk14_0)
| ~ in(unordered_pair(unordered_pair(esk12_0,esk13_0),singleton(esk12_0)),esk15_0)
| ~ in(unordered_pair(unordered_pair(esk12_0,esk13_0),singleton(esk12_0)),relation_composition(identity_relation(esk14_0),esk15_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnzg8rrd/lgb.p',i_0_46) ).
cnf(i_0_14,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
| X3 != relation_composition(X4,X5)
| ~ relation(X3)
| ~ relation(X5)
| ~ relation(X4)
| ~ in(unordered_pair(unordered_pair(X6,X2),singleton(X6)),X5)
| ~ in(unordered_pair(unordered_pair(X1,X6),singleton(X1)),X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnzg8rrd/lgb.p',i_0_14) ).
cnf(i_0_7,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
| X1 != X2
| X3 != identity_relation(X4)
| ~ relation(X3)
| ~ in(X1,X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnzg8rrd/lgb.p',i_0_7) ).
cnf(c_0_61,plain,
( in(X1,X2)
| X3 != identity_relation(X2)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X1,X4),singleton(X1)),X3) ),
i_0_9 ).
cnf(c_0_62,plain,
relation(identity_relation(X1)),
i_0_22 ).
cnf(c_0_63,plain,
( X1 = X2
| X3 != identity_relation(X4)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3) ),
i_0_8 ).
cnf(c_0_64,plain,
( in(X1,X2)
| ~ in(unordered_pair(unordered_pair(X1,X3),singleton(X1)),identity_relation(X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_61]),c_0_62])]) ).
cnf(c_0_65,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
i_0_3 ).
cnf(c_0_66,plain,
( in(unordered_pair(unordered_pair(X1,esk3_5(X2,X3,X4,X1,X5)),singleton(X1)),X2)
| X4 != relation_composition(X2,X3)
| ~ relation(X4)
| ~ relation(X3)
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X1,X5),singleton(X1)),X4) ),
i_0_16 ).
cnf(c_0_67,plain,
( relation(relation_composition(X1,X2))
| ~ relation(X2)
| ~ relation(X1) ),
i_0_21 ).
cnf(c_0_68,plain,
( X1 = X2
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),identity_relation(X3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_63]),c_0_62])]) ).
cnf(c_0_69,plain,
( in(X1,X2)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X3)),identity_relation(X2)) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_70,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,esk3_5(X2,X3,relation_composition(X2,X3),X1,X4))),X2)
| ~ relation(X3)
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X1,X4),singleton(X1)),relation_composition(X2,X3)) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_65])]),c_0_67]) ).
cnf(c_0_71,plain,
( X1 = X2
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),identity_relation(X3)) ),
inference(spm,[status(thm)],[c_0_68,c_0_65]) ).
cnf(c_0_72,plain,
( in(X1,X2)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X1,X4),singleton(X1)),relation_composition(identity_relation(X2),X3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_62])]) ).
cnf(c_0_73,negated_conjecture,
( in(esk12_0,esk14_0)
| in(unordered_pair(unordered_pair(esk12_0,esk13_0),singleton(esk12_0)),relation_composition(identity_relation(esk14_0),esk15_0)) ),
i_0_45 ).
cnf(c_0_74,negated_conjecture,
relation(esk15_0),
i_0_47 ).
cnf(c_0_75,plain,
( in(unordered_pair(unordered_pair(esk3_5(X1,X2,X3,X4,X5),X5),singleton(esk3_5(X1,X2,X3,X4,X5))),X2)
| X3 != relation_composition(X1,X2)
| ~ relation(X3)
| ~ relation(X2)
| ~ relation(X1)
| ~ in(unordered_pair(unordered_pair(X4,X5),singleton(X4)),X3) ),
i_0_15 ).
cnf(c_0_76,plain,
( esk3_5(identity_relation(X1),X2,relation_composition(identity_relation(X1),X2),X3,X4) = X3
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),relation_composition(identity_relation(X1),X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_70]),c_0_62])]) ).
cnf(c_0_77,negated_conjecture,
( in(unordered_pair(unordered_pair(esk12_0,esk13_0),singleton(esk12_0)),esk15_0)
| in(unordered_pair(unordered_pair(esk12_0,esk13_0),singleton(esk12_0)),relation_composition(identity_relation(esk14_0),esk15_0)) ),
i_0_44 ).
cnf(c_0_78,negated_conjecture,
( ~ in(esk12_0,esk14_0)
| ~ in(unordered_pair(unordered_pair(esk12_0,esk13_0),singleton(esk12_0)),esk15_0)
| ~ in(unordered_pair(unordered_pair(esk12_0,esk13_0),singleton(esk12_0)),relation_composition(identity_relation(esk14_0),esk15_0)) ),
i_0_46 ).
cnf(c_0_79,negated_conjecture,
in(esk12_0,esk14_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74])]) ).
cnf(c_0_80,plain,
( in(unordered_pair(unordered_pair(X1,esk3_5(X2,X3,relation_composition(X2,X3),X4,X1)),singleton(esk3_5(X2,X3,relation_composition(X2,X3),X4,X1))),X3)
| ~ relation(X3)
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X4,X1),singleton(X4)),relation_composition(X2,X3)) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_65])]),c_0_67]) ).
cnf(c_0_81,negated_conjecture,
( esk3_5(identity_relation(esk14_0),esk15_0,relation_composition(identity_relation(esk14_0),esk15_0),esk12_0,esk13_0) = esk12_0
| in(unordered_pair(unordered_pair(esk12_0,esk13_0),singleton(esk12_0)),esk15_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_74])]) ).
cnf(c_0_82,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
| X3 != relation_composition(X4,X5)
| ~ relation(X3)
| ~ relation(X5)
| ~ relation(X4)
| ~ in(unordered_pair(unordered_pair(X6,X2),singleton(X6)),X5)
| ~ in(unordered_pair(unordered_pair(X1,X6),singleton(X1)),X4) ),
i_0_14 ).
cnf(c_0_83,negated_conjecture,
( ~ in(unordered_pair(unordered_pair(esk12_0,esk13_0),singleton(esk12_0)),relation_composition(identity_relation(esk14_0),esk15_0))
| ~ in(unordered_pair(unordered_pair(esk12_0,esk13_0),singleton(esk12_0)),esk15_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_79])]) ).
cnf(c_0_84,plain,
in(unordered_pair(unordered_pair(esk12_0,esk13_0),singleton(esk12_0)),esk15_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_74]),c_0_62])]),c_0_65])]),c_0_77]) ).
cnf(c_0_85,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),relation_composition(X3,X4))
| ~ relation(X4)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X5,X2),singleton(X5)),X4)
| ~ in(unordered_pair(unordered_pair(X1,X5),singleton(X1)),X3) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_82]),c_0_67]) ).
cnf(c_0_86,negated_conjecture,
~ in(unordered_pair(unordered_pair(esk12_0,esk13_0),singleton(esk12_0)),relation_composition(identity_relation(esk14_0),esk15_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_84])]) ).
cnf(c_0_87,plain,
( in(unordered_pair(unordered_pair(X1,esk13_0),singleton(X1)),relation_composition(X2,esk15_0))
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X1,esk12_0),singleton(X1)),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_84]),c_0_74])]) ).
cnf(c_0_88,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
| X1 != X2
| X3 != identity_relation(X4)
| ~ relation(X3)
| ~ in(X1,X4) ),
i_0_7 ).
cnf(c_0_89,negated_conjecture,
~ in(unordered_pair(unordered_pair(esk12_0,esk12_0),singleton(esk12_0)),identity_relation(esk14_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_62])]) ).
cnf(c_0_90,plain,
( in(unordered_pair(unordered_pair(X1,X1),singleton(X1)),identity_relation(X2))
| ~ in(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_88])]),c_0_62])]) ).
cnf(c_0_91,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_79])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU191+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.33 % Computer : n018.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 : Mon Jun 20 00:35:52 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 7.55/2.20 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.55/2.20 # No SInE strategy applied
% 7.55/2.20 # Trying AutoSched0 for 150 seconds
% 7.55/2.20 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 7.55/2.20 # and selection function SelectComplexExceptUniqMaxHorn.
% 7.55/2.20 #
% 7.55/2.20 # Preprocessing time : 0.024 s
% 7.55/2.20 # Presaturation interreduction done
% 7.55/2.20
% 7.55/2.20 # Proof found!
% 7.55/2.20 # SZS status Theorem
% 7.55/2.20 # SZS output start CNFRefutation
% See solution above
% 7.55/2.20 # Training examples: 0 positive, 0 negative
% 7.55/2.20
% 7.55/2.20 # -------------------------------------------------
% 7.55/2.20 # User time : 0.035 s
% 7.55/2.20 # System time : 0.007 s
% 7.55/2.20 # Total time : 0.042 s
% 7.55/2.20 # Maximum resident set size: 7124 pages
% 7.55/2.20
%------------------------------------------------------------------------------