TSTP Solution File: SET693+4 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET693+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n006.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 00:13:30 EDT 2022
% Result : Theorem 7.91s 2.45s
% Output : CNFRefutation 7.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 13
% Syntax : Number of clauses : 67 ( 7 unt; 18 nHn; 61 RR)
% Number of literals : 152 ( 0 equ; 83 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 : 60 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_25,negated_conjecture,
( ~ subset(esk5_0,esk4_0)
| ~ equal_set(esk4_0,union(esk4_0,esk5_0)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ou_bdh9x/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-ou_bdh9x/lgb.p',i_0_5) ).
cnf(i_0_6,plain,
( subset(X1,X2)
| ~ equal_set(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ou_bdh9x/lgb.p',i_0_6) ).
cnf(i_0_24,negated_conjecture,
( subset(esk5_0,esk4_0)
| equal_set(esk4_0,union(esk4_0,esk5_0)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ou_bdh9x/lgb.p',i_0_24) ).
cnf(i_0_12,plain,
( subset(X1,X2)
| ~ member(X1,power_set(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ou_bdh9x/lgb.p',i_0_12) ).
cnf(i_0_7,plain,
( subset(X1,X2)
| ~ equal_set(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ou_bdh9x/lgb.p',i_0_7) ).
cnf(i_0_20,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ subset(X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ou_bdh9x/lgb.p',i_0_20) ).
cnf(i_0_11,plain,
( member(X1,power_set(X2))
| ~ subset(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ou_bdh9x/lgb.p',i_0_11) ).
cnf(i_0_18,plain,
( subset(X1,X2)
| ~ member(esk2_2(X1,X2),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ou_bdh9x/lgb.p',i_0_18) ).
cnf(i_0_19,plain,
( subset(X1,X2)
| member(esk2_2(X1,X2),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ou_bdh9x/lgb.p',i_0_19) ).
cnf(i_0_26,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ou_bdh9x/lgb.p',i_0_26) ).
cnf(i_0_27,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ou_bdh9x/lgb.p',i_0_27) ).
cnf(i_0_28,plain,
( member(X1,X2)
| member(X1,X3)
| ~ member(X1,union(X3,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ou_bdh9x/lgb.p',i_0_28) ).
cnf(c_0_42,negated_conjecture,
( ~ subset(esk5_0,esk4_0)
| ~ equal_set(esk4_0,union(esk4_0,esk5_0)) ),
i_0_25 ).
cnf(c_0_43,plain,
( equal_set(X1,X2)
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
i_0_5 ).
cnf(c_0_44,plain,
( subset(X1,X2)
| ~ equal_set(X2,X1) ),
i_0_6 ).
cnf(c_0_45,negated_conjecture,
( subset(esk5_0,esk4_0)
| equal_set(esk4_0,union(esk4_0,esk5_0)) ),
i_0_24 ).
cnf(c_0_46,negated_conjecture,
( ~ subset(union(esk4_0,esk5_0),esk4_0)
| ~ subset(esk4_0,union(esk4_0,esk5_0))
| ~ subset(esk5_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_47,plain,
( subset(X1,X2)
| ~ member(X1,power_set(X2)) ),
i_0_12 ).
cnf(c_0_48,plain,
( subset(X1,X2)
| ~ equal_set(X1,X2) ),
i_0_7 ).
cnf(c_0_49,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ subset(X3,X2) ),
i_0_20 ).
cnf(c_0_50,negated_conjecture,
( subset(union(esk4_0,esk5_0),esk4_0)
| subset(esk5_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_51,plain,
( ~ member(union(esk4_0,esk5_0),power_set(esk4_0))
| ~ subset(esk4_0,union(esk4_0,esk5_0))
| ~ subset(esk5_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_52,plain,
( member(X1,power_set(X2))
| ~ subset(X1,X2) ),
i_0_11 ).
cnf(c_0_53,negated_conjecture,
( subset(esk4_0,union(esk4_0,esk5_0))
| subset(esk5_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_48,c_0_45]) ).
cnf(c_0_54,plain,
( subset(X1,X2)
| ~ member(esk2_2(X1,X2),X2) ),
i_0_18 ).
cnf(c_0_55,negated_conjecture,
( member(X1,esk4_0)
| subset(esk5_0,esk4_0)
| ~ member(X1,union(esk4_0,esk5_0)) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_56,plain,
( ~ member(union(esk4_0,esk5_0),power_set(esk4_0))
| ~ member(esk4_0,power_set(union(esk4_0,esk5_0)))
| ~ subset(esk5_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_51,c_0_47]) ).
cnf(c_0_57,plain,
( subset(X1,X2)
| member(esk2_2(X1,X2),X1) ),
i_0_19 ).
cnf(c_0_58,negated_conjecture,
( member(union(esk4_0,esk5_0),power_set(esk4_0))
| subset(esk5_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_52,c_0_50]) ).
cnf(c_0_59,negated_conjecture,
( member(esk4_0,power_set(union(esk4_0,esk5_0)))
| subset(esk5_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_60,plain,
( ~ member(esk2_2(esk4_0,union(esk4_0,esk5_0)),union(esk4_0,esk5_0))
| ~ member(union(esk4_0,esk5_0),power_set(esk4_0))
| ~ subset(esk5_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_51,c_0_54]) ).
cnf(c_0_61,plain,
( member(esk5_0,power_set(esk4_0))
| member(X1,esk4_0)
| ~ member(X1,union(esk4_0,esk5_0)) ),
inference(spm,[status(thm)],[c_0_52,c_0_55]) ).
cnf(c_0_62,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X3) ),
i_0_26 ).
cnf(c_0_63,plain,
( member(X1,X2)
| ~ member(X3,power_set(X2))
| ~ member(X1,X3) ),
inference(spm,[status(thm)],[c_0_49,c_0_47]) ).
cnf(c_0_64,plain,
( member(esk2_2(esk5_0,esk4_0),esk5_0)
| ~ member(union(esk4_0,esk5_0),power_set(esk4_0))
| ~ member(esk4_0,power_set(union(esk4_0,esk5_0))) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_65,plain,
( member(union(esk4_0,esk5_0),power_set(esk4_0))
| member(esk5_0,power_set(esk4_0)) ),
inference(spm,[status(thm)],[c_0_52,c_0_58]) ).
cnf(c_0_66,plain,
( member(esk4_0,power_set(union(esk4_0,esk5_0)))
| member(esk5_0,power_set(esk4_0)) ),
inference(spm,[status(thm)],[c_0_52,c_0_59]) ).
cnf(c_0_67,plain,
( ~ member(esk2_2(esk4_0,union(esk4_0,esk5_0)),union(esk4_0,esk5_0))
| ~ member(union(esk4_0,esk5_0),power_set(esk4_0))
| ~ member(esk5_0,power_set(esk4_0)) ),
inference(spm,[status(thm)],[c_0_60,c_0_47]) ).
cnf(c_0_68,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X2) ),
i_0_27 ).
cnf(c_0_69,plain,
( member(X1,esk4_0)
| ~ member(X1,esk5_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63]) ).
cnf(c_0_70,plain,
( member(esk2_2(esk5_0,esk4_0),esk5_0)
| member(esk5_0,power_set(esk4_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66]) ).
cnf(c_0_71,plain,
( member(X1,power_set(X2))
| ~ member(esk2_2(X1,X2),X2) ),
inference(spm,[status(thm)],[c_0_52,c_0_54]) ).
cnf(c_0_72,plain,
( ~ member(esk2_2(union(esk4_0,esk5_0),esk4_0),esk4_0)
| ~ subset(esk4_0,union(esk4_0,esk5_0))
| ~ subset(esk5_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_46,c_0_54]) ).
cnf(c_0_73,plain,
( ~ member(esk2_2(esk4_0,union(esk4_0,esk5_0)),esk4_0)
| ~ member(union(esk4_0,esk5_0),power_set(esk4_0))
| ~ member(esk5_0,power_set(esk4_0)) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_74,plain,
member(esk5_0,power_set(esk4_0)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71]) ).
cnf(c_0_75,plain,
( ~ member(esk2_2(esk4_0,union(esk4_0,esk5_0)),union(esk4_0,esk5_0))
| ~ member(esk2_2(union(esk4_0,esk5_0),esk4_0),esk4_0)
| ~ subset(esk5_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_72,c_0_54]) ).
cnf(c_0_76,plain,
( member(esk2_2(esk4_0,union(esk4_0,esk5_0)),esk4_0)
| ~ member(union(esk4_0,esk5_0),power_set(esk4_0))
| ~ subset(esk5_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_51,c_0_57]) ).
cnf(c_0_77,plain,
( ~ member(esk2_2(esk4_0,union(esk4_0,esk5_0)),esk4_0)
| ~ member(union(esk4_0,esk5_0),power_set(esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_74])]) ).
cnf(c_0_78,plain,
( ~ member(esk2_2(esk4_0,union(esk4_0,esk5_0)),union(esk4_0,esk5_0))
| ~ member(esk2_2(union(esk4_0,esk5_0),esk4_0),esk4_0)
| ~ member(esk5_0,power_set(esk4_0)) ),
inference(spm,[status(thm)],[c_0_75,c_0_47]) ).
cnf(c_0_79,plain,
( member(esk2_2(union(esk4_0,esk5_0),esk4_0),union(esk4_0,esk5_0))
| ~ subset(esk4_0,union(esk4_0,esk5_0))
| ~ subset(esk5_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_46,c_0_57]) ).
cnf(c_0_80,plain,
~ member(union(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_76,c_0_47]),c_0_74])]),c_0_77]) ).
cnf(c_0_81,plain,
( member(esk2_2(esk4_0,union(esk4_0,esk5_0)),esk4_0)
| ~ member(esk2_2(union(esk4_0,esk5_0),esk4_0),esk4_0)
| ~ subset(esk5_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_72,c_0_57]) ).
cnf(c_0_82,plain,
( ~ member(esk2_2(union(esk4_0,esk5_0),esk4_0),esk4_0)
| ~ member(esk2_2(esk4_0,union(esk4_0,esk5_0)),esk4_0)
| ~ member(esk5_0,power_set(esk4_0)) ),
inference(spm,[status(thm)],[c_0_78,c_0_68]) ).
cnf(c_0_83,plain,
( member(esk2_2(union(esk4_0,esk5_0),esk4_0),union(esk4_0,esk5_0))
| member(esk2_2(esk4_0,union(esk4_0,esk5_0)),esk4_0)
| ~ subset(esk5_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_79,c_0_57]) ).
cnf(c_0_84,negated_conjecture,
subset(esk5_0,esk4_0),
inference(sr,[status(thm)],[c_0_58,c_0_80]) ).
cnf(c_0_85,plain,
( ~ member(esk2_2(union(esk4_0,esk5_0),esk4_0),esk4_0)
| ~ member(esk5_0,power_set(esk4_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_47]),c_0_82]) ).
cnf(c_0_86,plain,
( member(esk2_2(union(esk4_0,esk5_0),esk4_0),union(esk4_0,esk5_0))
| ~ member(esk2_2(esk4_0,union(esk4_0,esk5_0)),union(esk4_0,esk5_0))
| ~ subset(esk5_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_79,c_0_54]) ).
cnf(c_0_87,plain,
( member(X1,X2)
| member(X1,X3)
| ~ member(X1,union(X3,X2)) ),
i_0_28 ).
cnf(c_0_88,plain,
( member(esk2_2(union(esk4_0,esk5_0),esk4_0),union(esk4_0,esk5_0))
| member(esk2_2(esk4_0,union(esk4_0,esk5_0)),esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_84])]) ).
cnf(c_0_89,plain,
~ member(esk2_2(union(esk4_0,esk5_0),esk4_0),esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_74])]) ).
cnf(c_0_90,plain,
( member(esk2_2(union(esk4_0,esk5_0),esk4_0),union(esk4_0,esk5_0))
| ~ member(esk2_2(esk4_0,union(esk4_0,esk5_0)),union(esk4_0,esk5_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_86,c_0_84])]) ).
cnf(c_0_91,plain,
( member(esk2_2(esk4_0,union(esk4_0,esk5_0)),esk4_0)
| member(esk2_2(union(esk4_0,esk5_0),esk4_0),esk5_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_89]) ).
cnf(c_0_92,plain,
( member(esk2_2(union(esk4_0,esk5_0),esk4_0),esk5_0)
| ~ member(esk2_2(esk4_0,union(esk4_0,esk5_0)),union(esk4_0,esk5_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_90]),c_0_89]) ).
cnf(c_0_93,plain,
member(esk2_2(esk4_0,union(esk4_0,esk5_0)),esk4_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_91]),c_0_89]) ).
cnf(c_0_94,plain,
member(esk2_2(union(esk4_0,esk5_0),esk4_0),esk5_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_68]),c_0_93])]) ).
cnf(c_0_95,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_94]),c_0_89]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SET693+4 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.35 % Computer : n006.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 : Mon Jul 11 05:51:07 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.46 # ENIGMATIC: Selected SinE mode:
% 0.21/0.47 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.47 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.21/0.47 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.21/0.47 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 7.91/2.45 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.91/2.45 # No SInE strategy applied
% 7.91/2.45 # Trying AutoSched0 for 150 seconds
% 7.91/2.45 # AutoSched0-Mode selected heuristic G_E___208_C09_12_F1_SE_CS_SP_PS_S070I
% 7.91/2.45 # and selection function SelectVGNonCR.
% 7.91/2.45 #
% 7.91/2.45 # Preprocessing time : 0.012 s
% 7.91/2.45 # Presaturation interreduction done
% 7.91/2.45
% 7.91/2.45 # Proof found!
% 7.91/2.45 # SZS status Theorem
% 7.91/2.45 # SZS output start CNFRefutation
% See solution above
% 7.91/2.45 # Training examples: 0 positive, 0 negative
% 7.91/2.45
% 7.91/2.45 # -------------------------------------------------
% 7.91/2.45 # User time : 0.020 s
% 7.91/2.45 # System time : 0.005 s
% 7.91/2.45 # Total time : 0.025 s
% 7.91/2.45 # Maximum resident set size: 7128 pages
% 7.91/2.45
%------------------------------------------------------------------------------