TSTP Solution File: SEU252+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU252+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n029.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 08:40:06 EDT 2022
% Result : Theorem 4.81s 2.34s
% Output : CNFRefutation 4.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of clauses : 36 ( 16 unt; 2 nHn; 32 RR)
% Number of literals : 76 ( 2 equ; 41 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 46 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_54,negated_conjecture,
~ reflexive(relation_restriction(esk9_0,esk8_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-flj2k209/lgb.p',i_0_54) ).
cnf(i_0_32,plain,
( reflexive(X1)
| in(esk2_1(X1),relation_field(X1))
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-flj2k209/lgb.p',i_0_32) ).
cnf(i_0_17,plain,
( relation(relation_restriction(X1,X2))
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-flj2k209/lgb.p',i_0_17) ).
cnf(i_0_56,negated_conjecture,
relation(esk9_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-flj2k209/lgb.p',i_0_56) ).
cnf(i_0_50,plain,
( in(X1,X2)
| ~ relation(X3)
| ~ in(X1,relation_field(relation_restriction(X3,X2))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-flj2k209/lgb.p',i_0_50) ).
cnf(i_0_44,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),cartesian_product2(X3,X4))
| ~ in(X2,X4)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-flj2k209/lgb.p',i_0_44) ).
cnf(i_0_6,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-flj2k209/lgb.p',i_0_6) ).
cnf(i_0_51,plain,
( in(X1,relation_field(X2))
| ~ relation(X2)
| ~ in(X1,relation_field(relation_restriction(X2,X3))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-flj2k209/lgb.p',i_0_51) ).
cnf(i_0_47,plain,
( in(X1,relation_restriction(X2,X3))
| ~ relation(X2)
| ~ in(X1,X2)
| ~ in(X1,cartesian_product2(X3,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-flj2k209/lgb.p',i_0_47) ).
cnf(i_0_33,plain,
( in(unordered_pair(unordered_pair(X1,X1),singleton(X1)),X2)
| ~ relation(X2)
| ~ reflexive(X2)
| ~ in(X1,relation_field(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-flj2k209/lgb.p',i_0_33) ).
cnf(i_0_55,negated_conjecture,
reflexive(esk9_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-flj2k209/lgb.p',i_0_55) ).
cnf(i_0_31,plain,
( reflexive(X1)
| ~ relation(X1)
| ~ in(unordered_pair(unordered_pair(esk2_1(X1),esk2_1(X1)),singleton(esk2_1(X1))),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-flj2k209/lgb.p',i_0_31) ).
cnf(c_0_69,negated_conjecture,
~ reflexive(relation_restriction(esk9_0,esk8_0)),
i_0_54 ).
cnf(c_0_70,plain,
( reflexive(X1)
| in(esk2_1(X1),relation_field(X1))
| ~ relation(X1) ),
i_0_32 ).
cnf(c_0_71,negated_conjecture,
( in(esk2_1(relation_restriction(esk9_0,esk8_0)),relation_field(relation_restriction(esk9_0,esk8_0)))
| ~ relation(relation_restriction(esk9_0,esk8_0)) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_72,plain,
( relation(relation_restriction(X1,X2))
| ~ relation(X1) ),
i_0_17 ).
cnf(c_0_73,negated_conjecture,
relation(esk9_0),
i_0_56 ).
cnf(c_0_74,plain,
( in(X1,X2)
| ~ relation(X3)
| ~ in(X1,relation_field(relation_restriction(X3,X2))) ),
i_0_50 ).
cnf(c_0_75,plain,
in(esk2_1(relation_restriction(esk9_0,esk8_0)),relation_field(relation_restriction(esk9_0,esk8_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73])]) ).
cnf(c_0_76,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),cartesian_product2(X3,X4))
| ~ in(X2,X4)
| ~ in(X1,X3) ),
i_0_44 ).
cnf(c_0_77,plain,
in(esk2_1(relation_restriction(esk9_0,esk8_0)),esk8_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_73])]) ).
cnf(c_0_78,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
i_0_6 ).
cnf(c_0_79,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,esk2_1(relation_restriction(esk9_0,esk8_0)))),cartesian_product2(X2,esk8_0))
| ~ in(X1,X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78]) ).
cnf(c_0_80,plain,
( in(X1,relation_field(X2))
| ~ relation(X2)
| ~ in(X1,relation_field(relation_restriction(X2,X3))) ),
i_0_51 ).
cnf(c_0_81,plain,
( in(X1,relation_restriction(X2,X3))
| ~ relation(X2)
| ~ in(X1,X2)
| ~ in(X1,cartesian_product2(X3,X3)) ),
i_0_47 ).
cnf(c_0_82,plain,
in(unordered_pair(singleton(esk2_1(relation_restriction(esk9_0,esk8_0))),unordered_pair(esk2_1(relation_restriction(esk9_0,esk8_0)),esk2_1(relation_restriction(esk9_0,esk8_0)))),cartesian_product2(esk8_0,esk8_0)),
inference(spm,[status(thm)],[c_0_79,c_0_77]) ).
cnf(c_0_83,plain,
( in(unordered_pair(unordered_pair(X1,X1),singleton(X1)),X2)
| ~ relation(X2)
| ~ reflexive(X2)
| ~ in(X1,relation_field(X2)) ),
i_0_33 ).
cnf(c_0_84,plain,
in(esk2_1(relation_restriction(esk9_0,esk8_0)),relation_field(esk9_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_75]),c_0_73])]) ).
cnf(c_0_85,negated_conjecture,
reflexive(esk9_0),
i_0_55 ).
cnf(c_0_86,plain,
( reflexive(X1)
| ~ relation(X1)
| ~ in(unordered_pair(unordered_pair(esk2_1(X1),esk2_1(X1)),singleton(esk2_1(X1))),X1) ),
i_0_31 ).
cnf(c_0_87,plain,
( in(unordered_pair(singleton(esk2_1(relation_restriction(esk9_0,esk8_0))),unordered_pair(esk2_1(relation_restriction(esk9_0,esk8_0)),esk2_1(relation_restriction(esk9_0,esk8_0)))),relation_restriction(X1,esk8_0))
| ~ in(unordered_pair(singleton(esk2_1(relation_restriction(esk9_0,esk8_0))),unordered_pair(esk2_1(relation_restriction(esk9_0,esk8_0)),esk2_1(relation_restriction(esk9_0,esk8_0)))),X1)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_88,plain,
in(unordered_pair(singleton(esk2_1(relation_restriction(esk9_0,esk8_0))),unordered_pair(esk2_1(relation_restriction(esk9_0,esk8_0)),esk2_1(relation_restriction(esk9_0,esk8_0)))),esk9_0),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_73]),c_0_85])]),c_0_78]) ).
cnf(c_0_89,plain,
( reflexive(X1)
| ~ in(unordered_pair(singleton(esk2_1(X1)),unordered_pair(esk2_1(X1),esk2_1(X1))),X1)
| ~ relation(X1) ),
inference(rw,[status(thm)],[c_0_86,c_0_78]) ).
cnf(c_0_90,plain,
in(unordered_pair(singleton(esk2_1(relation_restriction(esk9_0,esk8_0))),unordered_pair(esk2_1(relation_restriction(esk9_0,esk8_0)),esk2_1(relation_restriction(esk9_0,esk8_0)))),relation_restriction(esk9_0,esk8_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_73])]) ).
cnf(c_0_91,plain,
~ relation(relation_restriction(esk9_0,esk8_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_69]) ).
cnf(c_0_92,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_72]),c_0_73])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SEU252+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n029.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 : Sat Jun 18 22:21:16 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 4.81/2.34 # ENIGMATIC: Solved by autoschedule-lgb:
% 4.81/2.34 # No SInE strategy applied
% 4.81/2.34 # Trying AutoSched0 for 150 seconds
% 4.81/2.34 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2SI
% 4.81/2.34 # and selection function SelectNewComplexAHP.
% 4.81/2.34 #
% 4.81/2.34 # Preprocessing time : 0.020 s
% 4.81/2.34 # Presaturation interreduction done
% 4.81/2.34
% 4.81/2.34 # Proof found!
% 4.81/2.34 # SZS status Theorem
% 4.81/2.34 # SZS output start CNFRefutation
% See solution above
% 4.81/2.34 # Training examples: 0 positive, 0 negative
% 4.81/2.34
% 4.81/2.34 # -------------------------------------------------
% 4.81/2.34 # User time : 0.019 s
% 4.81/2.34 # System time : 0.010 s
% 4.81/2.34 # Total time : 0.029 s
% 4.81/2.34 # Maximum resident set size: 7128 pages
% 4.81/2.34
%------------------------------------------------------------------------------