TSTP Solution File: SEU182+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU182+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n010.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 08:39:16 EDT 2022
% Result : Theorem 8.68s 2.44s
% Output : CNFRefutation 8.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of clauses : 31 ( 9 unt; 5 nHn; 24 RR)
% Number of literals : 85 ( 8 equ; 51 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-5 aty)
% Number of variables : 69 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_8,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-upor9hki/lgb.p',i_0_8) ).
cnf(i_0_2,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-upor9hki/lgb.p',i_0_2) ).
cnf(i_0_16,plain,
( in(unordered_pair(unordered_pair(X1,esk5_5(X2,X3,X4,X1,X5)),singleton(X1)),X2)
| X4 != relation_composition(X2,X3)
| ~ relation(X4)
| ~ relation(X3)
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X1,X5),singleton(X1)),X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-upor9hki/lgb.p',i_0_16) ).
cnf(i_0_23,plain,
( relation(relation_composition(X1,X2))
| ~ relation(X2)
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-upor9hki/lgb.p',i_0_23) ).
cnf(i_0_9,plain,
( in(unordered_pair(unordered_pair(X1,esk2_3(X2,X3,X1)),singleton(X1)),X2)
| X3 != relation_dom(X2)
| ~ relation(X2)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-upor9hki/lgb.p',i_0_9) ).
cnf(i_0_4,plain,
( subset(X1,X2)
| in(esk1_2(X1,X2),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-upor9hki/lgb.p',i_0_4) ).
cnf(i_0_46,negated_conjecture,
relation(esk15_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-upor9hki/lgb.p',i_0_46) ).
cnf(i_0_45,negated_conjecture,
relation(esk16_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-upor9hki/lgb.p',i_0_45) ).
cnf(i_0_3,plain,
( subset(X1,X2)
| ~ in(esk1_2(X1,X2),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-upor9hki/lgb.p',i_0_3) ).
cnf(i_0_44,negated_conjecture,
~ subset(relation_dom(relation_composition(esk15_0,esk16_0)),relation_dom(esk15_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-upor9hki/lgb.p',i_0_44) ).
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_8 ).
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_2 ).
cnf(c_0_60,plain,
( in(unordered_pair(unordered_pair(X1,esk5_5(X2,X3,X4,X1,X5)),singleton(X1)),X2)
| X4 != relation_composition(X2,X3)
| ~ relation(X4)
| ~ relation(X3)
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X1,X5),singleton(X1)),X4) ),
i_0_16 ).
cnf(c_0_61,plain,
( relation(relation_composition(X1,X2))
| ~ relation(X2)
| ~ relation(X1) ),
i_0_23 ).
cnf(c_0_62,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_63,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,esk5_5(X2,X3,relation_composition(X2,X3),X1,X4))),X2)
| ~ relation(X3)
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X1,X4),singleton(X1)),relation_composition(X2,X3)) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_59])]),c_0_61]) ).
cnf(c_0_64,plain,
( in(X1,relation_dom(X2))
| ~ relation(X2)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X1,X4),singleton(X1)),relation_composition(X2,X3)) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_65,plain,
( in(unordered_pair(unordered_pair(X1,esk2_3(X2,X3,X1)),singleton(X1)),X2)
| X3 != relation_dom(X2)
| ~ relation(X2)
| ~ in(X1,X3) ),
i_0_9 ).
cnf(c_0_66,plain,
( in(X1,relation_dom(X2))
| ~ relation(X2)
| ~ relation(X3)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X4)),relation_composition(X2,X3)) ),
inference(spm,[status(thm)],[c_0_64,c_0_59]) ).
cnf(c_0_67,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,esk2_3(X2,relation_dom(X2),X1))),X2)
| ~ relation(X2)
| ~ in(X1,relation_dom(X2)) ),
inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_59])]) ).
cnf(c_0_68,plain,
( in(X1,relation_dom(X2))
| ~ relation(X2)
| ~ relation(X3)
| ~ in(X1,relation_dom(relation_composition(X2,X3))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_61]) ).
cnf(c_0_69,plain,
( subset(X1,X2)
| in(esk1_2(X1,X2),X1) ),
i_0_4 ).
cnf(c_0_70,plain,
( in(esk1_2(relation_dom(relation_composition(X1,X2)),X3),relation_dom(X1))
| subset(relation_dom(relation_composition(X1,X2)),X3)
| ~ relation(X1)
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_71,negated_conjecture,
relation(esk15_0),
i_0_46 ).
cnf(c_0_72,negated_conjecture,
( in(esk1_2(relation_dom(relation_composition(esk15_0,X1)),X2),relation_dom(esk15_0))
| subset(relation_dom(relation_composition(esk15_0,X1)),X2)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_73,negated_conjecture,
relation(esk16_0),
i_0_45 ).
cnf(c_0_74,plain,
( subset(X1,X2)
| ~ in(esk1_2(X1,X2),X2) ),
i_0_3 ).
cnf(c_0_75,negated_conjecture,
( in(esk1_2(relation_dom(relation_composition(esk15_0,esk16_0)),X1),relation_dom(esk15_0))
| subset(relation_dom(relation_composition(esk15_0,esk16_0)),X1) ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_76,negated_conjecture,
~ subset(relation_dom(relation_composition(esk15_0,esk16_0)),relation_dom(esk15_0)),
i_0_44 ).
cnf(c_0_77,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU182+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n010.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 07:05:54 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 # ENIGMATIC: Selected complete mode:
% 8.68/2.44 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.68/2.44 # No SInE strategy applied
% 8.68/2.44 # Trying AutoSched0 for 150 seconds
% 8.68/2.44 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 8.68/2.44 # and selection function SelectComplexExceptUniqMaxHorn.
% 8.68/2.44 #
% 8.68/2.44 # Preprocessing time : 0.030 s
% 8.68/2.44 # Presaturation interreduction done
% 8.68/2.44
% 8.68/2.44 # Proof found!
% 8.68/2.44 # SZS status Theorem
% 8.68/2.44 # SZS output start CNFRefutation
% See solution above
% 8.68/2.44 # Training examples: 0 positive, 0 negative
% 8.68/2.44
% 8.68/2.44 # -------------------------------------------------
% 8.68/2.44 # User time : 0.035 s
% 8.68/2.44 # System time : 0.010 s
% 8.68/2.44 # Total time : 0.046 s
% 8.68/2.44 # Maximum resident set size: 7120 pages
% 8.68/2.44
%------------------------------------------------------------------------------