TSTP Solution File: SET701+4 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET701+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n018.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 00:13:33 EDT 2022
% Result : Theorem 8.74s 2.43s
% Output : CNFRefutation 8.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 13
% Syntax : Number of clauses : 61 ( 9 unt; 20 nHn; 45 RR)
% Number of literals : 129 ( 0 equ; 53 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 98 ( 16 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_11,plain,
( member(X1,power_set(X2))
| ~ subset(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rquav017/lgb.p',i_0_11) ).
cnf(i_0_19,plain,
( subset(X1,X2)
| member(esk2_2(X1,X2),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rquav017/lgb.p',i_0_19) ).
cnf(i_0_9,plain,
( member(X1,X2)
| ~ member(X1,intersection(X3,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rquav017/lgb.p',i_0_9) ).
cnf(i_0_2,plain,
( ~ member(X1,X2)
| ~ member(X1,difference(X3,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rquav017/lgb.p',i_0_2) ).
cnf(i_0_10,plain,
( member(X1,X2)
| ~ member(X1,intersection(X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rquav017/lgb.p',i_0_10) ).
cnf(i_0_20,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ subset(X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rquav017/lgb.p',i_0_20) ).
cnf(i_0_12,plain,
( subset(X1,X2)
| ~ member(X1,power_set(X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rquav017/lgb.p',i_0_12) ).
cnf(i_0_24,negated_conjecture,
( subset(esk4_0,esk5_0)
| subset(intersection(esk4_0,difference(esk7_0,esk5_0)),intersection(esk6_0,difference(esk7_0,esk6_0))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rquav017/lgb.p',i_0_24) ).
cnf(i_0_25,negated_conjecture,
( ~ subset(esk4_0,esk5_0)
| ~ subset(intersection(esk4_0,difference(esk7_0,esk5_0)),intersection(esk6_0,difference(esk7_0,esk6_0))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rquav017/lgb.p',i_0_25) ).
cnf(i_0_8,plain,
( member(X1,intersection(X2,X3))
| ~ member(X1,X3)
| ~ member(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rquav017/lgb.p',i_0_8) ).
cnf(i_0_27,negated_conjecture,
subset(esk4_0,esk7_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rquav017/lgb.p',i_0_27) ).
cnf(i_0_1,plain,
( member(X1,X2)
| member(X1,difference(X3,X2))
| ~ member(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rquav017/lgb.p',i_0_1) ).
cnf(i_0_18,plain,
( subset(X1,X2)
| ~ member(esk2_2(X1,X2),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rquav017/lgb.p',i_0_18) ).
cnf(c_0_41,plain,
( member(X1,power_set(X2))
| ~ subset(X1,X2) ),
i_0_11 ).
cnf(c_0_42,plain,
( subset(X1,X2)
| member(esk2_2(X1,X2),X1) ),
i_0_19 ).
cnf(c_0_43,plain,
( member(X1,X2)
| ~ member(X1,intersection(X3,X2)) ),
i_0_9 ).
cnf(c_0_44,plain,
( member(esk2_2(X1,X2),X1)
| member(X1,power_set(X2)) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_45,plain,
( ~ member(X1,X2)
| ~ member(X1,difference(X3,X2)) ),
i_0_2 ).
cnf(c_0_46,plain,
( member(esk2_2(intersection(X1,X2),X3),X2)
| member(intersection(X1,X2),power_set(X3)) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_47,plain,
( member(X1,X2)
| ~ member(X1,intersection(X2,X3)) ),
i_0_10 ).
cnf(c_0_48,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ subset(X3,X2) ),
i_0_20 ).
cnf(c_0_49,plain,
( subset(X1,X2)
| ~ member(X1,power_set(X2)) ),
i_0_12 ).
cnf(c_0_50,plain,
( member(intersection(X1,difference(X2,X3)),power_set(X4))
| ~ member(esk2_2(intersection(X1,difference(X2,X3)),X4),X3) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_51,plain,
( member(esk2_2(intersection(X1,X2),X3),X1)
| member(intersection(X1,X2),power_set(X3)) ),
inference(spm,[status(thm)],[c_0_47,c_0_44]) ).
cnf(c_0_52,negated_conjecture,
( subset(esk4_0,esk5_0)
| subset(intersection(esk4_0,difference(esk7_0,esk5_0)),intersection(esk6_0,difference(esk7_0,esk6_0))) ),
i_0_24 ).
cnf(c_0_53,negated_conjecture,
( ~ subset(esk4_0,esk5_0)
| ~ subset(intersection(esk4_0,difference(esk7_0,esk5_0)),intersection(esk6_0,difference(esk7_0,esk6_0))) ),
i_0_25 ).
cnf(c_0_54,plain,
( member(X1,X2)
| ~ member(X3,power_set(X2))
| ~ member(X1,X3) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_55,plain,
member(intersection(X1,difference(X2,X1)),power_set(X3)),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_56,negated_conjecture,
( member(X1,intersection(esk6_0,difference(esk7_0,esk6_0)))
| subset(esk4_0,esk5_0)
| ~ member(X1,intersection(esk4_0,difference(esk7_0,esk5_0))) ),
inference(spm,[status(thm)],[c_0_48,c_0_52]) ).
cnf(c_0_57,plain,
( member(esk2_2(intersection(esk4_0,difference(esk7_0,esk5_0)),intersection(esk6_0,difference(esk7_0,esk6_0))),intersection(esk4_0,difference(esk7_0,esk5_0)))
| ~ subset(esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_53,c_0_42]) ).
cnf(c_0_58,plain,
( member(X1,X2)
| ~ member(X1,intersection(X3,difference(X4,X3))) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_59,plain,
( member(X1,intersection(esk6_0,difference(esk7_0,esk6_0)))
| member(esk4_0,power_set(esk5_0))
| ~ member(X1,intersection(esk4_0,difference(esk7_0,esk5_0))) ),
inference(spm,[status(thm)],[c_0_41,c_0_56]) ).
cnf(c_0_60,plain,
( member(esk2_2(intersection(esk4_0,difference(esk7_0,esk5_0)),intersection(esk6_0,difference(esk7_0,esk6_0))),intersection(esk4_0,difference(esk7_0,esk5_0)))
| member(esk2_2(esk4_0,esk5_0),esk4_0) ),
inference(spm,[status(thm)],[c_0_57,c_0_42]) ).
cnf(c_0_61,plain,
( member(esk4_0,power_set(esk5_0))
| member(X1,X2)
| ~ member(X1,intersection(esk4_0,difference(esk7_0,esk5_0))) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_62,plain,
( member(X1,intersection(X2,X3))
| ~ member(X1,X3)
| ~ member(X1,X2) ),
i_0_8 ).
cnf(c_0_63,negated_conjecture,
subset(esk4_0,esk7_0),
i_0_27 ).
cnf(c_0_64,plain,
( member(esk2_2(intersection(esk4_0,difference(esk7_0,esk5_0)),intersection(esk6_0,difference(esk7_0,esk6_0))),difference(esk7_0,esk5_0))
| member(esk2_2(esk4_0,esk5_0),esk4_0) ),
inference(spm,[status(thm)],[c_0_43,c_0_60]) ).
cnf(c_0_65,plain,
( member(esk2_2(X1,X2),X1)
| member(X3,X2)
| ~ member(X3,X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_42]) ).
cnf(c_0_66,plain,
( member(esk2_2(intersection(esk4_0,difference(esk7_0,esk5_0)),intersection(esk6_0,difference(esk7_0,esk6_0))),esk4_0)
| member(esk2_2(esk4_0,esk5_0),esk4_0) ),
inference(spm,[status(thm)],[c_0_47,c_0_60]) ).
cnf(c_0_67,plain,
( member(esk4_0,power_set(esk5_0))
| member(X1,X2)
| ~ member(X1,difference(esk7_0,esk5_0))
| ~ member(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_68,plain,
( member(X1,X2)
| member(X1,difference(X3,X2))
| ~ member(X1,X3) ),
i_0_1 ).
cnf(c_0_69,negated_conjecture,
( member(X1,esk7_0)
| ~ member(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_48,c_0_63]) ).
cnf(c_0_70,plain,
( member(esk2_2(esk4_0,esk5_0),esk4_0)
| ~ member(esk2_2(intersection(esk4_0,difference(esk7_0,esk5_0)),intersection(esk6_0,difference(esk7_0,esk6_0))),esk5_0) ),
inference(spm,[status(thm)],[c_0_45,c_0_64]) ).
cnf(c_0_71,plain,
( member(esk2_2(intersection(esk4_0,difference(esk7_0,esk5_0)),intersection(esk6_0,difference(esk7_0,esk6_0))),X1)
| member(esk2_2(esk4_0,esk5_0),esk4_0)
| member(esk2_2(esk4_0,X1),esk4_0) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_72,plain,
( member(X1,esk5_0)
| member(X1,X2)
| ~ member(X1,esk4_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69]),c_0_54]) ).
cnf(c_0_73,plain,
member(esk2_2(esk4_0,esk5_0),esk4_0),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_74,plain,
( subset(X1,X2)
| ~ member(esk2_2(X1,X2),X2) ),
i_0_18 ).
cnf(c_0_75,plain,
( member(esk2_2(esk4_0,esk5_0),esk5_0)
| member(esk2_2(esk4_0,esk5_0),X1) ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_76,plain,
( member(X1,X2)
| ~ member(esk2_2(X3,X2),X2)
| ~ member(X1,X3) ),
inference(spm,[status(thm)],[c_0_48,c_0_74]) ).
cnf(c_0_77,plain,
member(esk2_2(esk4_0,esk5_0),esk5_0),
inference(ef,[status(thm)],[c_0_75]) ).
cnf(c_0_78,plain,
( member(X1,power_set(X2))
| ~ member(esk2_2(X1,X2),X2) ),
inference(spm,[status(thm)],[c_0_41,c_0_74]) ).
cnf(c_0_79,plain,
( member(X1,esk5_0)
| ~ member(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_80,plain,
( member(esk2_2(intersection(esk4_0,difference(esk7_0,esk5_0)),intersection(esk6_0,difference(esk7_0,esk6_0))),intersection(esk4_0,difference(esk7_0,esk5_0)))
| ~ member(esk2_2(esk4_0,esk5_0),esk5_0) ),
inference(spm,[status(thm)],[c_0_57,c_0_74]) ).
cnf(c_0_81,plain,
( member(X1,power_set(esk5_0))
| ~ member(esk2_2(X1,esk5_0),esk4_0) ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_82,plain,
( member(esk2_2(intersection(esk4_0,difference(esk7_0,esk5_0)),intersection(esk6_0,difference(esk7_0,esk6_0))),difference(esk7_0,esk5_0))
| ~ member(esk2_2(esk4_0,esk5_0),esk5_0) ),
inference(spm,[status(thm)],[c_0_43,c_0_80]) ).
cnf(c_0_83,plain,
member(intersection(esk4_0,X1),power_set(esk5_0)),
inference(spm,[status(thm)],[c_0_81,c_0_51]) ).
cnf(c_0_84,plain,
( ~ member(esk2_2(intersection(esk4_0,difference(esk7_0,esk5_0)),intersection(esk6_0,difference(esk7_0,esk6_0))),esk5_0)
| ~ member(esk2_2(esk4_0,esk5_0),esk5_0) ),
inference(spm,[status(thm)],[c_0_45,c_0_82]) ).
cnf(c_0_85,plain,
( member(X1,esk5_0)
| ~ member(X1,intersection(esk4_0,X2)) ),
inference(spm,[status(thm)],[c_0_54,c_0_83]) ).
cnf(c_0_86,plain,
member(esk2_2(intersection(esk4_0,difference(esk7_0,esk5_0)),intersection(esk6_0,difference(esk7_0,esk6_0))),intersection(esk4_0,difference(esk7_0,esk5_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_77])]) ).
cnf(c_0_87,plain,
~ member(esk2_2(intersection(esk4_0,difference(esk7_0,esk5_0)),intersection(esk6_0,difference(esk7_0,esk6_0))),esk5_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_77])]) ).
cnf(c_0_88,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_87]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET701+4 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n018.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 : Sat Jul 9 21:06:59 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected SinE mode:
% 0.19/0.45 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.19/0.45 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.19/0.45 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 8.74/2.43 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.74/2.43 # No SInE strategy applied
% 8.74/2.43 # Trying AutoSched0 for 150 seconds
% 8.74/2.43 # AutoSched0-Mode selected heuristic G_E___107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YA
% 8.74/2.43 # and selection function SelectMaxLComplexAvoidPosPred.
% 8.74/2.43 #
% 8.74/2.43 # Preprocessing time : 0.023 s
% 8.74/2.43 # Presaturation interreduction done
% 8.74/2.43
% 8.74/2.43 # Proof found!
% 8.74/2.43 # SZS status Theorem
% 8.74/2.43 # SZS output start CNFRefutation
% See solution above
% 8.74/2.43 # Training examples: 0 positive, 0 negative
% 8.74/2.43
% 8.74/2.43 # -------------------------------------------------
% 8.74/2.43 # User time : 0.107 s
% 8.74/2.43 # System time : 0.009 s
% 8.74/2.43 # Total time : 0.116 s
% 8.74/2.43 # Maximum resident set size: 7124 pages
% 8.74/2.43
%------------------------------------------------------------------------------