TSTP Solution File: SET692+4 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET692+4 : TPTP v8.1.0. Released v2.2.0.
% 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 00:13:29 EDT 2022
% Result : Theorem 7.80s 2.42s
% Output : CNFRefutation 7.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 13
% Syntax : Number of clauses : 68 ( 8 unt; 16 nHn; 66 RR)
% Number of literals : 152 ( 0 equ; 87 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 58 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_25,negated_conjecture,
( ~ subset(esk4_0,esk5_0)
| ~ equal_set(esk4_0,intersection(esk4_0,esk5_0)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-if16z9_j/lgb.p',i_0_25) ).
cnf(i_0_5,plain,
( equal_set(X1,X2)
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-if16z9_j/lgb.p',i_0_5) ).
cnf(i_0_12,plain,
( subset(X1,X2)
| ~ member(X1,power_set(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-if16z9_j/lgb.p',i_0_12) ).
cnf(i_0_6,plain,
( subset(X1,X2)
| ~ equal_set(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-if16z9_j/lgb.p',i_0_6) ).
cnf(i_0_24,negated_conjecture,
( subset(esk4_0,esk5_0)
| equal_set(esk4_0,intersection(esk4_0,esk5_0)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-if16z9_j/lgb.p',i_0_24) ).
cnf(i_0_7,plain,
( subset(X1,X2)
| ~ equal_set(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-if16z9_j/lgb.p',i_0_7) ).
cnf(i_0_11,plain,
( member(X1,power_set(X2))
| ~ subset(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-if16z9_j/lgb.p',i_0_11) ).
cnf(i_0_20,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ subset(X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-if16z9_j/lgb.p',i_0_20) ).
cnf(i_0_19,plain,
( subset(X1,X2)
| member(esk2_2(X1,X2),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-if16z9_j/lgb.p',i_0_19) ).
cnf(i_0_18,plain,
( subset(X1,X2)
| ~ member(esk2_2(X1,X2),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-if16z9_j/lgb.p',i_0_18) ).
cnf(i_0_9,plain,
( member(X1,X2)
| ~ member(X1,intersection(X3,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-if16z9_j/lgb.p',i_0_9) ).
cnf(i_0_8,plain,
( member(X1,intersection(X2,X3))
| ~ member(X1,X3)
| ~ member(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-if16z9_j/lgb.p',i_0_8) ).
cnf(i_0_10,plain,
( member(X1,X2)
| ~ member(X1,intersection(X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-if16z9_j/lgb.p',i_0_10) ).
cnf(c_0_39,negated_conjecture,
( ~ subset(esk4_0,esk5_0)
| ~ equal_set(esk4_0,intersection(esk4_0,esk5_0)) ),
i_0_25 ).
cnf(c_0_40,plain,
( equal_set(X1,X2)
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
i_0_5 ).
cnf(c_0_41,negated_conjecture,
( ~ subset(intersection(esk4_0,esk5_0),esk4_0)
| ~ subset(esk4_0,intersection(esk4_0,esk5_0))
| ~ subset(esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_42,plain,
( subset(X1,X2)
| ~ member(X1,power_set(X2)) ),
i_0_12 ).
cnf(c_0_43,plain,
( subset(X1,X2)
| ~ equal_set(X2,X1) ),
i_0_6 ).
cnf(c_0_44,negated_conjecture,
( subset(esk4_0,esk5_0)
| equal_set(esk4_0,intersection(esk4_0,esk5_0)) ),
i_0_24 ).
cnf(c_0_45,plain,
( subset(X1,X2)
| ~ equal_set(X1,X2) ),
i_0_7 ).
cnf(c_0_46,plain,
( ~ member(intersection(esk4_0,esk5_0),power_set(esk4_0))
| ~ subset(esk4_0,intersection(esk4_0,esk5_0))
| ~ subset(esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_47,plain,
( member(X1,power_set(X2))
| ~ subset(X1,X2) ),
i_0_11 ).
cnf(c_0_48,negated_conjecture,
( subset(intersection(esk4_0,esk5_0),esk4_0)
| subset(esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_49,negated_conjecture,
( subset(esk4_0,intersection(esk4_0,esk5_0))
| subset(esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_45,c_0_44]) ).
cnf(c_0_50,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ subset(X3,X2) ),
i_0_20 ).
cnf(c_0_51,plain,
( ~ member(intersection(esk4_0,esk5_0),power_set(esk4_0))
| ~ member(esk4_0,power_set(intersection(esk4_0,esk5_0)))
| ~ subset(esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_46,c_0_42]) ).
cnf(c_0_52,plain,
( subset(X1,X2)
| member(esk2_2(X1,X2),X1) ),
i_0_19 ).
cnf(c_0_53,negated_conjecture,
( member(intersection(esk4_0,esk5_0),power_set(esk4_0))
| subset(esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_54,negated_conjecture,
( member(esk4_0,power_set(intersection(esk4_0,esk5_0)))
| subset(esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_47,c_0_49]) ).
cnf(c_0_55,negated_conjecture,
( member(X1,intersection(esk4_0,esk5_0))
| subset(esk4_0,esk5_0)
| ~ member(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_50,c_0_49]) ).
cnf(c_0_56,plain,
( member(esk2_2(esk4_0,esk5_0),esk4_0)
| ~ member(intersection(esk4_0,esk5_0),power_set(esk4_0))
| ~ member(esk4_0,power_set(intersection(esk4_0,esk5_0))) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_57,plain,
( member(intersection(esk4_0,esk5_0),power_set(esk4_0))
| member(esk4_0,power_set(esk5_0)) ),
inference(spm,[status(thm)],[c_0_47,c_0_53]) ).
cnf(c_0_58,plain,
( member(esk4_0,power_set(intersection(esk4_0,esk5_0)))
| member(esk4_0,power_set(esk5_0)) ),
inference(spm,[status(thm)],[c_0_47,c_0_54]) ).
cnf(c_0_59,plain,
( subset(X1,X2)
| ~ member(esk2_2(X1,X2),X2) ),
i_0_18 ).
cnf(c_0_60,plain,
( member(X1,intersection(esk4_0,esk5_0))
| member(esk4_0,power_set(esk5_0))
| ~ member(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_47,c_0_55]) ).
cnf(c_0_61,plain,
( member(esk2_2(esk4_0,esk5_0),esk4_0)
| member(esk4_0,power_set(esk5_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58]) ).
cnf(c_0_62,plain,
( ~ member(intersection(esk4_0,esk5_0),power_set(esk4_0))
| ~ member(esk4_0,power_set(intersection(esk4_0,esk5_0)))
| ~ member(esk2_2(esk4_0,esk5_0),esk5_0) ),
inference(spm,[status(thm)],[c_0_51,c_0_59]) ).
cnf(c_0_63,plain,
( ~ member(esk2_2(esk4_0,intersection(esk4_0,esk5_0)),intersection(esk4_0,esk5_0))
| ~ member(intersection(esk4_0,esk5_0),power_set(esk4_0))
| ~ subset(esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_46,c_0_59]) ).
cnf(c_0_64,plain,
( member(X1,X2)
| ~ member(X1,intersection(X3,X2)) ),
i_0_9 ).
cnf(c_0_65,plain,
( member(esk2_2(esk4_0,esk5_0),intersection(esk4_0,esk5_0))
| member(esk4_0,power_set(esk5_0)) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_66,plain,
( member(esk4_0,power_set(esk5_0))
| ~ member(esk2_2(esk4_0,esk5_0),esk5_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_57]),c_0_58]) ).
cnf(c_0_67,plain,
( ~ member(esk2_2(esk4_0,intersection(esk4_0,esk5_0)),intersection(esk4_0,esk5_0))
| ~ member(intersection(esk4_0,esk5_0),power_set(esk4_0))
| ~ member(esk4_0,power_set(esk5_0)) ),
inference(spm,[status(thm)],[c_0_63,c_0_42]) ).
cnf(c_0_68,plain,
member(esk4_0,power_set(esk5_0)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66]) ).
cnf(c_0_69,plain,
( member(X1,X2)
| ~ member(X3,power_set(X2))
| ~ member(X1,X3) ),
inference(spm,[status(thm)],[c_0_50,c_0_42]) ).
cnf(c_0_70,plain,
( ~ member(esk2_2(intersection(esk4_0,esk5_0),esk4_0),esk4_0)
| ~ subset(esk4_0,intersection(esk4_0,esk5_0))
| ~ subset(esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_41,c_0_59]) ).
cnf(c_0_71,plain,
( ~ member(esk2_2(esk4_0,intersection(esk4_0,esk5_0)),intersection(esk4_0,esk5_0))
| ~ member(intersection(esk4_0,esk5_0),power_set(esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_68])]) ).
cnf(c_0_72,plain,
( member(X1,intersection(X2,X3))
| ~ member(X1,X3)
| ~ member(X1,X2) ),
i_0_8 ).
cnf(c_0_73,plain,
( member(X1,esk5_0)
| ~ member(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_69,c_0_68]) ).
cnf(c_0_74,plain,
( ~ member(esk2_2(esk4_0,intersection(esk4_0,esk5_0)),intersection(esk4_0,esk5_0))
| ~ member(esk2_2(intersection(esk4_0,esk5_0),esk4_0),esk4_0)
| ~ subset(esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_70,c_0_59]) ).
cnf(c_0_75,plain,
( member(esk2_2(esk4_0,intersection(esk4_0,esk5_0)),esk4_0)
| ~ member(intersection(esk4_0,esk5_0),power_set(esk4_0))
| ~ subset(esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_46,c_0_52]) ).
cnf(c_0_76,plain,
( ~ member(esk2_2(esk4_0,intersection(esk4_0,esk5_0)),esk4_0)
| ~ member(intersection(esk4_0,esk5_0),power_set(esk4_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73]) ).
cnf(c_0_77,plain,
( ~ member(esk2_2(esk4_0,intersection(esk4_0,esk5_0)),intersection(esk4_0,esk5_0))
| ~ member(esk2_2(intersection(esk4_0,esk5_0),esk4_0),esk4_0)
| ~ member(esk4_0,power_set(esk5_0)) ),
inference(spm,[status(thm)],[c_0_74,c_0_42]) ).
cnf(c_0_78,plain,
( member(esk2_2(intersection(esk4_0,esk5_0),esk4_0),intersection(esk4_0,esk5_0))
| ~ subset(esk4_0,intersection(esk4_0,esk5_0))
| ~ subset(esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_41,c_0_52]) ).
cnf(c_0_79,plain,
~ member(intersection(esk4_0,esk5_0),power_set(esk4_0)),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_42]),c_0_68])]),c_0_76]) ).
cnf(c_0_80,plain,
( ~ member(esk2_2(esk4_0,intersection(esk4_0,esk5_0)),intersection(esk4_0,esk5_0))
| ~ member(esk2_2(intersection(esk4_0,esk5_0),esk4_0),esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_68])]) ).
cnf(c_0_81,plain,
( member(esk2_2(intersection(esk4_0,esk5_0),esk4_0),intersection(esk4_0,esk5_0))
| ~ member(esk2_2(esk4_0,intersection(esk4_0,esk5_0)),intersection(esk4_0,esk5_0))
| ~ subset(esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_78,c_0_59]) ).
cnf(c_0_82,negated_conjecture,
subset(esk4_0,esk5_0),
inference(sr,[status(thm)],[c_0_53,c_0_79]) ).
cnf(c_0_83,plain,
( member(esk2_2(esk4_0,intersection(esk4_0,esk5_0)),esk4_0)
| ~ member(esk2_2(intersection(esk4_0,esk5_0),esk4_0),esk4_0)
| ~ subset(esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_70,c_0_52]) ).
cnf(c_0_84,plain,
( ~ member(esk2_2(intersection(esk4_0,esk5_0),esk4_0),esk4_0)
| ~ member(esk2_2(esk4_0,intersection(esk4_0,esk5_0)),esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_72]),c_0_73]) ).
cnf(c_0_85,plain,
( member(esk2_2(intersection(esk4_0,esk5_0),esk4_0),intersection(esk4_0,esk5_0))
| member(esk2_2(esk4_0,intersection(esk4_0,esk5_0)),esk4_0)
| ~ subset(esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_78,c_0_52]) ).
cnf(c_0_86,plain,
( member(X1,X2)
| ~ member(X1,intersection(X2,X3)) ),
i_0_10 ).
cnf(c_0_87,plain,
( member(esk2_2(intersection(esk4_0,esk5_0),esk4_0),intersection(esk4_0,esk5_0))
| ~ member(esk2_2(esk4_0,intersection(esk4_0,esk5_0)),intersection(esk4_0,esk5_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_82])]) ).
cnf(c_0_88,plain,
~ member(esk2_2(intersection(esk4_0,esk5_0),esk4_0),esk4_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_42]),c_0_68])]),c_0_84]) ).
cnf(c_0_89,plain,
( member(esk2_2(intersection(esk4_0,esk5_0),esk4_0),intersection(esk4_0,esk5_0))
| member(esk2_2(esk4_0,intersection(esk4_0,esk5_0)),esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_82])]) ).
cnf(c_0_90,plain,
~ member(esk2_2(esk4_0,intersection(esk4_0,esk5_0)),intersection(esk4_0,esk5_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88]) ).
cnf(c_0_91,plain,
member(esk2_2(esk4_0,intersection(esk4_0,esk5_0)),esk4_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_89]),c_0_88]) ).
cnf(c_0_92,plain,
~ member(esk2_2(esk4_0,intersection(esk4_0,esk5_0)),esk5_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_72]),c_0_91])]) ).
cnf(c_0_93,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_73]),c_0_91])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET692+4 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.14 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.35 % Computer : n016.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sun Jul 10 09:17:28 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.46 # ENIGMATIC: Selected SinE mode:
% 0.20/0.47 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.20/0.47 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.20/0.47 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 7.80/2.42 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.80/2.42 # No SInE strategy applied
% 7.80/2.42 # Trying AutoSched0 for 150 seconds
% 7.80/2.42 # AutoSched0-Mode selected heuristic G_E___208_C09_12_F1_SE_CS_SP_PS_S070I
% 7.80/2.42 # and selection function SelectVGNonCR.
% 7.80/2.42 #
% 7.80/2.42 # Preprocessing time : 0.023 s
% 7.80/2.42 # Presaturation interreduction done
% 7.80/2.42
% 7.80/2.42 # Proof found!
% 7.80/2.42 # SZS status Theorem
% 7.80/2.42 # SZS output start CNFRefutation
% See solution above
% 7.80/2.42 # Training examples: 0 positive, 0 negative
% 7.80/2.42
% 7.80/2.42 # -------------------------------------------------
% 7.80/2.42 # User time : 0.032 s
% 7.80/2.42 # System time : 0.008 s
% 7.80/2.42 # Total time : 0.040 s
% 7.80/2.42 # Maximum resident set size: 7124 pages
% 7.80/2.42
%------------------------------------------------------------------------------