TSTP Solution File: SEU178+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU178+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n013.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 08:39:14 EDT 2022
% Result : Theorem 8.49s 2.42s
% Output : CNFRefutation 8.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of clauses : 45 ( 9 unt; 8 nHn; 35 RR)
% Number of literals : 140 ( 11 equ; 89 neg)
% Maximal clause size : 7 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 1 con; 0-3 aty)
% Number of variables : 111 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_11,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-x5xutjje/lgb.p',i_0_11) ).
cnf(i_0_12,plain,
( in(unordered_pair(unordered_pair(X1,esk5_3(X2,X3,X1)),singleton(X1)),X2)
| X3 != relation_dom(X2)
| ~ relation(X2)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x5xutjje/lgb.p',i_0_12) ).
cnf(i_0_2,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x5xutjje/lgb.p',i_0_2) ).
cnf(i_0_8,plain,
( in(X1,X2)
| ~ in(X1,X3)
| ~ subset(X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x5xutjje/lgb.p',i_0_8) ).
cnf(i_0_5,plain,
( unordered_pair(unordered_pair(esk1_2(X1,X2),esk2_2(X1,X2)),singleton(esk1_2(X1,X2))) = X2
| ~ relation(X1)
| ~ in(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x5xutjje/lgb.p',i_0_5) ).
cnf(i_0_15,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-x5xutjje/lgb.p',i_0_15) ).
cnf(i_0_7,plain,
( subset(X1,X2)
| in(esk4_2(X1,X2),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x5xutjje/lgb.p',i_0_7) ).
cnf(i_0_43,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),cartesian_product2(X3,X4))
| ~ in(X2,X4)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x5xutjje/lgb.p',i_0_43) ).
cnf(i_0_42,plain,
subset(X1,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x5xutjje/lgb.p',i_0_42) ).
cnf(i_0_48,negated_conjecture,
relation(esk17_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x5xutjje/lgb.p',i_0_48) ).
cnf(i_0_6,plain,
( subset(X1,X2)
| ~ in(esk4_2(X1,X2),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x5xutjje/lgb.p',i_0_6) ).
cnf(i_0_47,negated_conjecture,
~ subset(esk17_0,cartesian_product2(relation_dom(esk17_0),relation_rng(esk17_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x5xutjje/lgb.p',i_0_47) ).
cnf(c_0_61,plain,
( in(X1,X2)
| X2 != relation_dom(X3)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X1,X4),singleton(X1)),X3) ),
i_0_11 ).
cnf(c_0_62,plain,
( in(unordered_pair(unordered_pair(X1,esk5_3(X2,X3,X1)),singleton(X1)),X2)
| X3 != relation_dom(X2)
| ~ relation(X2)
| ~ in(X1,X3) ),
i_0_12 ).
cnf(c_0_63,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
i_0_2 ).
cnf(c_0_64,plain,
( in(X1,relation_dom(X2))
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X1,X3),singleton(X1)),X2) ),
inference(er,[status(thm)],[c_0_61]) ).
cnf(c_0_65,plain,
( in(X1,X2)
| ~ in(X1,X3)
| ~ subset(X3,X2) ),
i_0_8 ).
cnf(c_0_66,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,esk5_3(X2,relation_dom(X2),X1))),X2)
| ~ relation(X2)
| ~ in(X1,relation_dom(X2)) ),
inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_63])]) ).
cnf(c_0_67,plain,
( unordered_pair(unordered_pair(esk1_2(X1,X2),esk2_2(X1,X2)),singleton(esk1_2(X1,X2))) = X2
| ~ relation(X1)
| ~ in(X2,X1) ),
i_0_5 ).
cnf(c_0_68,plain,
( in(X1,relation_dom(X2))
| ~ relation(X2)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X3)),X2) ),
inference(spm,[status(thm)],[c_0_64,c_0_63]) ).
cnf(c_0_69,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,esk5_3(X2,relation_dom(X2),X1))),X3)
| ~ relation(X2)
| ~ in(X1,relation_dom(X2))
| ~ subset(X2,X3) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_70,plain,
( unordered_pair(singleton(esk1_2(X1,X2)),unordered_pair(esk1_2(X1,X2),esk2_2(X1,X2))) = X2
| ~ relation(X1)
| ~ in(X2,X1) ),
inference(rw,[status(thm)],[c_0_67,c_0_63]) ).
cnf(c_0_71,plain,
( in(X1,relation_dom(X2))
| ~ relation(X2)
| ~ relation(X3)
| ~ in(X1,relation_dom(X3))
| ~ subset(X3,X2) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_72,plain,
( in(esk1_2(X1,X2),relation_dom(X3))
| ~ relation(X3)
| ~ relation(X1)
| ~ in(X2,X3)
| ~ in(X2,X1) ),
inference(spm,[status(thm)],[c_0_68,c_0_70]) ).
cnf(c_0_73,plain,
( in(X1,X2)
| X2 != relation_rng(X3)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X4,X1),singleton(X4)),X3) ),
i_0_15 ).
cnf(c_0_74,plain,
( in(esk1_2(X1,X2),relation_dom(X3))
| ~ relation(X3)
| ~ relation(X4)
| ~ relation(X1)
| ~ in(X2,X4)
| ~ in(X2,X1)
| ~ subset(X4,X3) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_75,plain,
( subset(X1,X2)
| in(esk4_2(X1,X2),X1) ),
i_0_7 ).
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_43 ).
cnf(c_0_77,plain,
( in(X1,relation_rng(X2))
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X3,X1),singleton(X3)),X2) ),
inference(er,[status(thm)],[c_0_73]) ).
cnf(c_0_78,plain,
( in(esk1_2(X1,esk4_2(X2,X3)),relation_dom(X4))
| subset(X2,X3)
| ~ relation(X4)
| ~ relation(X2)
| ~ relation(X1)
| ~ in(esk4_2(X2,X3),X1)
| ~ subset(X2,X4) ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_79,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),cartesian_product2(X3,X4))
| ~ in(X2,X4)
| ~ in(X1,X3) ),
inference(spm,[status(thm)],[c_0_76,c_0_63]) ).
cnf(c_0_80,plain,
( in(X1,relation_rng(X2))
| ~ relation(X2)
| ~ in(unordered_pair(singleton(X3),unordered_pair(X3,X1)),X2) ),
inference(spm,[status(thm)],[c_0_77,c_0_63]) ).
cnf(c_0_81,plain,
( in(esk1_2(X1,esk4_2(X1,X2)),relation_dom(X3))
| subset(X1,X2)
| ~ relation(X3)
| ~ relation(X1)
| ~ subset(X1,X3) ),
inference(spm,[status(thm)],[c_0_78,c_0_75]) ).
cnf(c_0_82,plain,
subset(X1,X1),
i_0_42 ).
cnf(c_0_83,plain,
( in(X1,cartesian_product2(X2,X3))
| ~ relation(X4)
| ~ in(esk2_2(X4,X1),X3)
| ~ in(esk1_2(X4,X1),X2)
| ~ in(X1,X4) ),
inference(spm,[status(thm)],[c_0_79,c_0_70]) ).
cnf(c_0_84,plain,
( in(esk2_2(X1,X2),relation_rng(X3))
| ~ relation(X3)
| ~ relation(X1)
| ~ in(X2,X3)
| ~ in(X2,X1) ),
inference(spm,[status(thm)],[c_0_80,c_0_70]) ).
cnf(c_0_85,plain,
( in(esk1_2(X1,esk4_2(X1,X2)),relation_dom(X1))
| subset(X1,X2)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_86,negated_conjecture,
relation(esk17_0),
i_0_48 ).
cnf(c_0_87,plain,
( in(X1,cartesian_product2(X2,relation_rng(X3)))
| ~ relation(X4)
| ~ relation(X3)
| ~ in(esk1_2(X4,X1),X2)
| ~ in(X1,X4)
| ~ in(X1,X3) ),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_88,negated_conjecture,
( in(esk1_2(esk17_0,esk4_2(esk17_0,X1)),relation_dom(esk17_0))
| subset(esk17_0,X1) ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_89,plain,
( in(esk4_2(esk17_0,X1),cartesian_product2(relation_dom(esk17_0),relation_rng(X2)))
| subset(esk17_0,X1)
| ~ relation(X2)
| ~ in(esk4_2(esk17_0,X1),X2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_86])]),c_0_75]) ).
cnf(c_0_90,plain,
( subset(X1,X2)
| ~ in(esk4_2(X1,X2),X2) ),
i_0_6 ).
cnf(c_0_91,plain,
( in(esk4_2(esk17_0,X1),cartesian_product2(relation_dom(esk17_0),relation_rng(esk17_0)))
| subset(esk17_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_75]),c_0_86])]) ).
cnf(c_0_92,negated_conjecture,
~ subset(esk17_0,cartesian_product2(relation_dom(esk17_0),relation_rng(esk17_0))),
i_0_47 ).
cnf(c_0_93,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_92]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU178+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n013.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 : Mon Jun 20 05:04:00 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 8.49/2.42 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.49/2.42 # No SInE strategy applied
% 8.49/2.42 # Trying AutoSched0 for 150 seconds
% 8.49/2.42 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 8.49/2.42 # and selection function SelectComplexExceptUniqMaxHorn.
% 8.49/2.42 #
% 8.49/2.42 # Preprocessing time : 0.024 s
% 8.49/2.42 # Presaturation interreduction done
% 8.49/2.42
% 8.49/2.42 # Proof found!
% 8.49/2.42 # SZS status Theorem
% 8.49/2.42 # SZS output start CNFRefutation
% See solution above
% 8.49/2.42 # Training examples: 0 positive, 0 negative
% 8.49/2.42
% 8.49/2.42 # -------------------------------------------------
% 8.49/2.42 # User time : 0.110 s
% 8.49/2.42 # System time : 0.009 s
% 8.49/2.42 # Total time : 0.120 s
% 8.49/2.42 # Maximum resident set size: 7120 pages
% 8.49/2.42
%------------------------------------------------------------------------------