TSTP Solution File: SEU197+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU197+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n028.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 08:39:25 EDT 2022
% Result : Theorem 8.78s 2.45s
% Output : CNFRefutation 8.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of clauses : 45 ( 11 unt; 9 nHn; 41 RR)
% Number of literals : 122 ( 12 equ; 73 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 84 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_13,plain,
( in(unordered_pair(unordered_pair(esk3_3(X1,X2,X3),X3),singleton(esk3_3(X1,X2,X3))),X1)
| X2 != relation_rng(X1)
| ~ relation(X1)
| ~ in(X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rprvfxd9/lgb.p',i_0_13) ).
cnf(i_0_3,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rprvfxd9/lgb.p',i_0_3) ).
cnf(i_0_9,plain,
( in(X1,X2)
| X3 != relation_rng_restriction(X2,X4)
| ~ relation(X4)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X5,X1),singleton(X5)),X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rprvfxd9/lgb.p',i_0_9) ).
cnf(i_0_20,plain,
( relation(relation_rng_restriction(X1,X2))
| ~ relation(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rprvfxd9/lgb.p',i_0_20) ).
cnf(i_0_39,negated_conjecture,
( in(esk11_0,esk12_0)
| in(esk11_0,relation_rng(relation_rng_restriction(esk12_0,esk13_0))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rprvfxd9/lgb.p',i_0_39) ).
cnf(i_0_8,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
| X4 != relation_rng_restriction(X5,X3)
| ~ relation(X4)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rprvfxd9/lgb.p',i_0_8) ).
cnf(i_0_38,negated_conjecture,
( in(esk11_0,relation_rng(esk13_0))
| in(esk11_0,relation_rng(relation_rng_restriction(esk12_0,esk13_0))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rprvfxd9/lgb.p',i_0_38) ).
cnf(i_0_41,negated_conjecture,
relation(esk13_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rprvfxd9/lgb.p',i_0_41) ).
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-rprvfxd9/lgb.p',i_0_12) ).
cnf(i_0_7,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
| X3 != relation_rng_restriction(X4,X5)
| ~ relation(X3)
| ~ relation(X5)
| ~ in(X2,X4)
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X5) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rprvfxd9/lgb.p',i_0_7) ).
cnf(i_0_40,negated_conjecture,
( ~ in(esk11_0,esk12_0)
| ~ in(esk11_0,relation_rng(esk13_0))
| ~ in(esk11_0,relation_rng(relation_rng_restriction(esk12_0,esk13_0))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rprvfxd9/lgb.p',i_0_40) ).
cnf(c_0_53,plain,
( in(unordered_pair(unordered_pair(esk3_3(X1,X2,X3),X3),singleton(esk3_3(X1,X2,X3))),X1)
| X2 != relation_rng(X1)
| ~ relation(X1)
| ~ in(X3,X2) ),
i_0_13 ).
cnf(c_0_54,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
i_0_3 ).
cnf(c_0_55,plain,
( in(X1,X2)
| X3 != relation_rng_restriction(X2,X4)
| ~ relation(X4)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X5,X1),singleton(X5)),X3) ),
i_0_9 ).
cnf(c_0_56,plain,
( relation(relation_rng_restriction(X1,X2))
| ~ relation(X2) ),
i_0_20 ).
cnf(c_0_57,plain,
( in(unordered_pair(unordered_pair(X1,esk3_3(X2,relation_rng(X2),X1)),singleton(esk3_3(X2,relation_rng(X2),X1))),X2)
| ~ relation(X2)
| ~ in(X1,relation_rng(X2)) ),
inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_54])]) ).
cnf(c_0_58,negated_conjecture,
( in(esk11_0,esk12_0)
| in(esk11_0,relation_rng(relation_rng_restriction(esk12_0,esk13_0))) ),
i_0_39 ).
cnf(c_0_59,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
| X4 != relation_rng_restriction(X5,X3)
| ~ relation(X4)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X4) ),
i_0_8 ).
cnf(c_0_60,negated_conjecture,
( in(esk11_0,relation_rng(esk13_0))
| in(esk11_0,relation_rng(relation_rng_restriction(esk12_0,esk13_0))) ),
i_0_38 ).
cnf(c_0_61,plain,
( in(X1,X2)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X4,X1),singleton(X4)),relation_rng_restriction(X2,X3)) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_55]),c_0_56]) ).
cnf(c_0_62,negated_conjecture,
( in(unordered_pair(unordered_pair(esk11_0,esk3_3(relation_rng_restriction(esk12_0,esk13_0),relation_rng(relation_rng_restriction(esk12_0,esk13_0)),esk11_0)),singleton(esk3_3(relation_rng_restriction(esk12_0,esk13_0),relation_rng(relation_rng_restriction(esk12_0,esk13_0)),esk11_0))),relation_rng_restriction(esk12_0,esk13_0))
| in(esk11_0,esk12_0)
| ~ relation(relation_rng_restriction(esk12_0,esk13_0)) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_63,negated_conjecture,
relation(esk13_0),
i_0_41 ).
cnf(c_0_64,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_65,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),relation_rng_restriction(X4,X3)) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_59]),c_0_56]) ).
cnf(c_0_66,negated_conjecture,
( in(unordered_pair(unordered_pair(esk11_0,esk3_3(relation_rng_restriction(esk12_0,esk13_0),relation_rng(relation_rng_restriction(esk12_0,esk13_0)),esk11_0)),singleton(esk3_3(relation_rng_restriction(esk12_0,esk13_0),relation_rng(relation_rng_restriction(esk12_0,esk13_0)),esk11_0))),relation_rng_restriction(esk12_0,esk13_0))
| in(esk11_0,relation_rng(esk13_0))
| ~ relation(relation_rng_restriction(esk12_0,esk13_0)) ),
inference(spm,[status(thm)],[c_0_57,c_0_60]) ).
cnf(c_0_67,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
| X3 != relation_rng_restriction(X4,X5)
| ~ relation(X3)
| ~ relation(X5)
| ~ in(X2,X4)
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X5) ),
i_0_7 ).
cnf(c_0_68,plain,
( in(X1,X2)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X1,X4),singleton(X4)),relation_rng_restriction(X2,X3)) ),
inference(spm,[status(thm)],[c_0_61,c_0_54]) ).
cnf(c_0_69,plain,
( in(unordered_pair(unordered_pair(esk11_0,esk3_3(relation_rng_restriction(esk12_0,esk13_0),relation_rng(relation_rng_restriction(esk12_0,esk13_0)),esk11_0)),singleton(esk3_3(relation_rng_restriction(esk12_0,esk13_0),relation_rng(relation_rng_restriction(esk12_0,esk13_0)),esk11_0))),relation_rng_restriction(esk12_0,esk13_0))
| in(esk11_0,esk12_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_56]),c_0_63])]) ).
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_64]) ).
cnf(c_0_71,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X2)),X3)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X2)),relation_rng_restriction(X4,X3)) ),
inference(spm,[status(thm)],[c_0_65,c_0_54]) ).
cnf(c_0_72,plain,
( in(unordered_pair(unordered_pair(esk11_0,esk3_3(relation_rng_restriction(esk12_0,esk13_0),relation_rng(relation_rng_restriction(esk12_0,esk13_0)),esk11_0)),singleton(esk3_3(relation_rng_restriction(esk12_0,esk13_0),relation_rng(relation_rng_restriction(esk12_0,esk13_0)),esk11_0))),relation_rng_restriction(esk12_0,esk13_0))
| in(esk11_0,relation_rng(esk13_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_56]),c_0_63])]) ).
cnf(c_0_73,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),relation_rng_restriction(X3,X4))
| ~ relation(X4)
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X4)
| ~ in(X2,X3) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_67]),c_0_56]) ).
cnf(c_0_74,plain,
in(esk11_0,esk12_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_63])]) ).
cnf(c_0_75,plain,
( in(X1,relation_rng(X2))
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X1,X3),singleton(X3)),X2) ),
inference(spm,[status(thm)],[c_0_70,c_0_54]) ).
cnf(c_0_76,plain,
( in(unordered_pair(unordered_pair(esk11_0,esk3_3(relation_rng_restriction(esk12_0,esk13_0),relation_rng(relation_rng_restriction(esk12_0,esk13_0)),esk11_0)),singleton(esk3_3(relation_rng_restriction(esk12_0,esk13_0),relation_rng(relation_rng_restriction(esk12_0,esk13_0)),esk11_0))),esk13_0)
| in(esk11_0,relation_rng(esk13_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_63])]) ).
cnf(c_0_77,plain,
( in(unordered_pair(unordered_pair(X1,esk11_0),singleton(X1)),relation_rng_restriction(esk12_0,X2))
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X1,esk11_0),singleton(X1)),X2) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_78,plain,
in(esk11_0,relation_rng(esk13_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_63])]) ).
cnf(c_0_79,negated_conjecture,
( ~ in(esk11_0,esk12_0)
| ~ in(esk11_0,relation_rng(esk13_0))
| ~ in(esk11_0,relation_rng(relation_rng_restriction(esk12_0,esk13_0))) ),
i_0_40 ).
cnf(c_0_80,plain,
( in(unordered_pair(unordered_pair(esk11_0,X1),singleton(X1)),relation_rng_restriction(esk12_0,X2))
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(esk11_0,X1),singleton(X1)),X2) ),
inference(spm,[status(thm)],[c_0_77,c_0_54]) ).
cnf(c_0_81,plain,
in(unordered_pair(unordered_pair(esk11_0,esk3_3(esk13_0,relation_rng(esk13_0),esk11_0)),singleton(esk3_3(esk13_0,relation_rng(esk13_0),esk11_0))),esk13_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_78]),c_0_63])]) ).
cnf(c_0_82,negated_conjecture,
( ~ in(esk11_0,relation_rng(relation_rng_restriction(esk12_0,esk13_0)))
| ~ in(esk11_0,relation_rng(esk13_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_74])]) ).
cnf(c_0_83,plain,
in(unordered_pair(unordered_pair(esk11_0,esk3_3(esk13_0,relation_rng(esk13_0),esk11_0)),singleton(esk3_3(esk13_0,relation_rng(esk13_0),esk11_0))),relation_rng_restriction(esk12_0,esk13_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_63])]) ).
cnf(c_0_84,negated_conjecture,
~ in(esk11_0,relation_rng(relation_rng_restriction(esk12_0,esk13_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_78])]) ).
cnf(c_0_85,plain,
~ relation(relation_rng_restriction(esk12_0,esk13_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_83]),c_0_84]) ).
cnf(c_0_86,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_56]),c_0_63])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SEU197+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n028.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 : Sun Jun 19 04:50:31 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.17/0.43 # ENIGMATIC: Selected complete mode:
% 8.78/2.45 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.78/2.45 # No SInE strategy applied
% 8.78/2.45 # Trying AutoSched0 for 150 seconds
% 8.78/2.45 # AutoSched0-Mode selected heuristic G_E___208_B07_F1_SE_CS_SP_PS_S4d
% 8.78/2.45 # and selection function SelectCQIPrecWNTNp.
% 8.78/2.45 #
% 8.78/2.45 # Preprocessing time : 0.023 s
% 8.78/2.45 # Presaturation interreduction done
% 8.78/2.45
% 8.78/2.45 # Proof found!
% 8.78/2.45 # SZS status Theorem
% 8.78/2.45 # SZS output start CNFRefutation
% See solution above
% 8.78/2.45 # Training examples: 0 positive, 0 negative
% 8.78/2.45
% 8.78/2.45 # -------------------------------------------------
% 8.78/2.45 # User time : 0.038 s
% 8.78/2.45 # System time : 0.008 s
% 8.78/2.45 # Total time : 0.046 s
% 8.78/2.45 # Maximum resident set size: 7124 pages
% 8.78/2.45
%------------------------------------------------------------------------------