TSTP Solution File: SEU208+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU208+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n016.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 08:39:32 EDT 2022
% Result : Theorem 7.49s 2.20s
% Output : CNFRefutation 7.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of clauses : 33 ( 9 unt; 7 nHn; 31 RR)
% Number of literals : 90 ( 10 equ; 55 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-4 aty)
% Number of variables : 61 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_7,plain,
( in(X1,X2)
| X2 != relation_inverse_image(X3,X4)
| ~ relation(X3)
| ~ in(X5,X4)
| ~ in(unordered_pair(unordered_pair(X1,X5),singleton(X1)),X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dryir7pl/lgb.p',i_0_7) ).
cnf(i_0_38,negated_conjecture,
( in(esk15_0,esk13_0)
| in(esk12_0,relation_inverse_image(esk14_0,esk13_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dryir7pl/lgb.p',i_0_38) ).
cnf(i_0_3,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dryir7pl/lgb.p',i_0_3) ).
cnf(i_0_39,negated_conjecture,
( in(esk12_0,relation_inverse_image(esk14_0,esk13_0))
| in(unordered_pair(unordered_pair(esk12_0,esk15_0),singleton(esk12_0)),esk14_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dryir7pl/lgb.p',i_0_39) ).
cnf(i_0_42,negated_conjecture,
relation(esk14_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dryir7pl/lgb.p',i_0_42) ).
cnf(i_0_8,plain,
( in(esk1_4(X1,X2,X3,X4),X2)
| X3 != relation_inverse_image(X1,X2)
| ~ relation(X1)
| ~ in(X4,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dryir7pl/lgb.p',i_0_8) ).
cnf(i_0_41,negated_conjecture,
( ~ in(X1,esk13_0)
| ~ in(X1,relation_rng(esk14_0))
| ~ in(esk12_0,relation_inverse_image(esk14_0,esk13_0))
| ~ in(unordered_pair(unordered_pair(esk12_0,X1),singleton(esk12_0)),esk14_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dryir7pl/lgb.p',i_0_41) ).
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-dryir7pl/lgb.p',i_0_9) ).
cnf(i_0_12,plain,
( in(X1,X2)
| X2 != relation_rng(X3)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X4,X1),singleton(X4)),X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dryir7pl/lgb.p',i_0_12) ).
cnf(c_0_52,plain,
( in(X1,X2)
| X2 != relation_inverse_image(X3,X4)
| ~ relation(X3)
| ~ in(X5,X4)
| ~ in(unordered_pair(unordered_pair(X1,X5),singleton(X1)),X3) ),
i_0_7 ).
cnf(c_0_53,plain,
( in(X1,relation_inverse_image(X2,X3))
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X1,X4),singleton(X1)),X2)
| ~ in(X4,X3) ),
inference(er,[status(thm)],[c_0_52]) ).
cnf(c_0_54,negated_conjecture,
( in(esk15_0,esk13_0)
| in(esk12_0,relation_inverse_image(esk14_0,esk13_0)) ),
i_0_38 ).
cnf(c_0_55,negated_conjecture,
( in(esk12_0,relation_inverse_image(esk14_0,esk13_0))
| in(X1,relation_inverse_image(X2,esk13_0))
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X1,esk15_0),singleton(X1)),X2) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_56,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
i_0_3 ).
cnf(c_0_57,negated_conjecture,
( in(esk12_0,relation_inverse_image(esk14_0,esk13_0))
| in(unordered_pair(unordered_pair(esk12_0,esk15_0),singleton(esk12_0)),esk14_0) ),
i_0_39 ).
cnf(c_0_58,plain,
( in(esk12_0,relation_inverse_image(esk14_0,esk13_0))
| in(X1,relation_inverse_image(X2,esk13_0))
| ~ relation(X2)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,esk15_0)),X2) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_59,negated_conjecture,
( in(unordered_pair(singleton(esk12_0),unordered_pair(esk12_0,esk15_0)),esk14_0)
| in(esk12_0,relation_inverse_image(esk14_0,esk13_0)) ),
inference(rw,[status(thm)],[c_0_57,c_0_56]) ).
cnf(c_0_60,negated_conjecture,
relation(esk14_0),
i_0_42 ).
cnf(c_0_61,plain,
( in(esk1_4(X1,X2,X3,X4),X2)
| X3 != relation_inverse_image(X1,X2)
| ~ relation(X1)
| ~ in(X4,X3) ),
i_0_8 ).
cnf(c_0_62,negated_conjecture,
( ~ in(X1,esk13_0)
| ~ in(X1,relation_rng(esk14_0))
| ~ in(esk12_0,relation_inverse_image(esk14_0,esk13_0))
| ~ in(unordered_pair(unordered_pair(esk12_0,X1),singleton(esk12_0)),esk14_0) ),
i_0_41 ).
cnf(c_0_63,negated_conjecture,
in(esk12_0,relation_inverse_image(esk14_0,esk13_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60])]) ).
cnf(c_0_64,plain,
( in(esk1_4(X1,X2,relation_inverse_image(X1,X2),X3),X2)
| ~ relation(X1)
| ~ in(X3,relation_inverse_image(X1,X2)) ),
inference(er,[status(thm)],[c_0_61]) ).
cnf(c_0_65,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_66,plain,
( in(X1,X2)
| X2 != relation_rng(X3)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X4,X1),singleton(X4)),X3) ),
i_0_12 ).
cnf(c_0_67,negated_conjecture,
( ~ in(unordered_pair(unordered_pair(esk12_0,X1),singleton(esk12_0)),esk14_0)
| ~ in(X1,relation_rng(esk14_0))
| ~ in(X1,esk13_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_63])]) ).
cnf(c_0_68,plain,
in(esk1_4(esk14_0,esk13_0,relation_inverse_image(esk14_0,esk13_0),esk12_0),esk13_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_63]),c_0_60])]) ).
cnf(c_0_69,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_65,c_0_56])]) ).
cnf(c_0_70,plain,
( in(X1,relation_rng(X2))
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X3,X1),singleton(X3)),X2) ),
inference(er,[status(thm)],[c_0_66]) ).
cnf(c_0_71,negated_conjecture,
( ~ in(unordered_pair(singleton(esk12_0),unordered_pair(esk12_0,esk1_4(esk14_0,esk13_0,relation_inverse_image(esk14_0,esk13_0),esk12_0))),esk14_0)
| ~ in(esk1_4(esk14_0,esk13_0,relation_inverse_image(esk14_0,esk13_0),esk12_0),relation_rng(esk14_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_56]) ).
cnf(c_0_72,plain,
in(unordered_pair(singleton(esk12_0),unordered_pair(esk12_0,esk1_4(esk14_0,esk13_0,relation_inverse_image(esk14_0,esk13_0),esk12_0))),esk14_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_63]),c_0_60])]) ).
cnf(c_0_73,plain,
( in(X1,relation_rng(X2))
| ~ relation(X2)
| ~ in(unordered_pair(singleton(X3),unordered_pair(X3,X1)),X2) ),
inference(spm,[status(thm)],[c_0_70,c_0_56]) ).
cnf(c_0_74,negated_conjecture,
~ in(esk1_4(esk14_0,esk13_0,relation_inverse_image(esk14_0,esk13_0),esk12_0),relation_rng(esk14_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_72])]) ).
cnf(c_0_75,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_72]),c_0_60])]),c_0_74]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU208+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.34 % Computer : n016.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sun Jun 19 23:42:56 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.45 # ENIGMATIC: Selected complete mode:
% 7.49/2.20 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.49/2.20 # No SInE strategy applied
% 7.49/2.20 # Trying AutoSched0 for 150 seconds
% 7.49/2.20 # AutoSched0-Mode selected heuristic G_E___208_B07_F1_SE_CS_SP_PS_S4d
% 7.49/2.20 # and selection function SelectCQIPrecWNTNp.
% 7.49/2.20 #
% 7.49/2.20 # Preprocessing time : 0.023 s
% 7.49/2.20 # Presaturation interreduction done
% 7.49/2.20
% 7.49/2.20 # Proof found!
% 7.49/2.20 # SZS status Theorem
% 7.49/2.20 # SZS output start CNFRefutation
% See solution above
% 7.49/2.20 # Training examples: 0 positive, 0 negative
% 7.49/2.20
% 7.49/2.20 # -------------------------------------------------
% 7.49/2.20 # User time : 0.027 s
% 7.49/2.20 # System time : 0.005 s
% 7.49/2.20 # Total time : 0.032 s
% 7.49/2.20 # Maximum resident set size: 7120 pages
% 7.49/2.20
%------------------------------------------------------------------------------