%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU209+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n024.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 08:39:33 EDT 2022
% Result : Theorem 8.06s 2.47s
% Output : CNFRefutation 8.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of clauses : 22 ( 8 unt; 4 nHn; 15 RR)
% Number of literals : 49 ( 6 equ; 25 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-4 aty)
% Number of variables : 46 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_15,plain,
( in(X1,X2)
| X2 != relation_dom(X3)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X1,X4),singleton(X1)),X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o0qqz50p/lgb.p',i_0_15) ).
cnf(i_0_3,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o0qqz50p/lgb.p',i_0_3) ).
cnf(i_0_9,plain,
( in(unordered_pair(unordered_pair(X1,esk1_4(X2,X3,X4,X1)),singleton(X1)),X2)
| X4 != relation_inverse_image(X2,X3)
| ~ relation(X2)
| ~ in(X1,X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o0qqz50p/lgb.p',i_0_9) ).
cnf(i_0_11,plain,
( subset(X1,X2)
| in(esk4_2(X1,X2),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o0qqz50p/lgb.p',i_0_11) ).
cnf(i_0_49,negated_conjecture,
relation(esk16_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o0qqz50p/lgb.p',i_0_49) ).
cnf(i_0_10,plain,
( subset(X1,X2)
| ~ in(esk4_2(X1,X2),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o0qqz50p/lgb.p',i_0_10) ).
cnf(i_0_48,negated_conjecture,
~ subset(relation_inverse_image(esk16_0,esk15_0),relation_dom(esk16_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o0qqz50p/lgb.p',i_0_48) ).
cnf(c_0_57,plain,
( in(X1,X2)
| X2 != relation_dom(X3)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X1,X4),singleton(X1)),X3) ),
i_0_15 ).
cnf(c_0_58,plain,
( in(X1,relation_dom(X2))
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X1,X3),singleton(X1)),X2) ),
inference(er,[status(thm)],[c_0_57]) ).
cnf(c_0_59,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
i_0_3 ).
cnf(c_0_60,plain,
( in(unordered_pair(unordered_pair(X1,esk1_4(X2,X3,X4,X1)),singleton(X1)),X2)
| X4 != relation_inverse_image(X2,X3)
| ~ relation(X2)
| ~ in(X1,X4) ),
i_0_9 ).
cnf(c_0_61,plain,
( in(X1,relation_dom(X2))
| ~ relation(X2)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X3)),X2) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_62,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,esk1_4(X2,X3,relation_inverse_image(X2,X3),X1))),X2)
| ~ relation(X2)
| ~ in(X1,relation_inverse_image(X2,X3)) ),
inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_59])]) ).
cnf(c_0_63,plain,
( in(X1,relation_dom(X2))
| ~ relation(X2)
| ~ in(X1,relation_inverse_image(X2,X3)) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_64,plain,
( subset(X1,X2)
| in(esk4_2(X1,X2),X1) ),
i_0_11 ).
cnf(c_0_65,plain,
( in(esk4_2(relation_inverse_image(X1,X2),X3),relation_dom(X1))
| subset(relation_inverse_image(X1,X2),X3)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_66,negated_conjecture,
relation(esk16_0),
i_0_49 ).
cnf(c_0_67,plain,
( subset(X1,X2)
| ~ in(esk4_2(X1,X2),X2) ),
i_0_10 ).
cnf(c_0_68,negated_conjecture,
( in(esk4_2(relation_inverse_image(esk16_0,X1),X2),relation_dom(esk16_0))
| subset(relation_inverse_image(esk16_0,X1),X2) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_69,negated_conjecture,
~ subset(relation_inverse_image(esk16_0,esk15_0),relation_dom(esk16_0)),
i_0_48 ).
cnf(c_0_70,plain,
subset(relation_inverse_image(esk16_0,X1),relation_dom(esk16_0)),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_71,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_70])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEU209+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 19 19:00:04 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 8.06/2.47 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.06/2.47 # No SInE strategy applied
% 8.06/2.47 # Trying AutoSched0 for 150 seconds
% 8.06/2.47 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 8.06/2.47 # and selection function SelectComplexExceptUniqMaxHorn.
% 8.06/2.47 #
% 8.06/2.47 # Preprocessing time : 0.023 s
% 8.06/2.47 # Presaturation interreduction done
% 8.06/2.47
% 8.06/2.47 # Proof found!
% 8.06/2.47 # SZS status Theorem
% 8.06/2.47 # SZS output start CNFRefutation
% See solution above
% 8.06/2.47 # Training examples: 0 positive, 0 negative
% 8.06/2.47
% 8.06/2.47 # -------------------------------------------------
% 8.06/2.47 # User time : 0.026 s
% 8.06/2.47 # System time : 0.006 s
% 8.06/2.47 # Total time : 0.032 s
% 8.06/2.47 # Maximum resident set size: 7124 pages
% 8.06/2.47
%------------------------------------------------------------------------------