TSTP Solution File: SET656+3 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET656+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n003.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 00:13:14 EDT 2022
% Result : Theorem 9.02s 2.41s
% Output : CNFRefutation 9.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 18
% Syntax : Number of clauses : 72 ( 14 unt; 25 nHn; 53 RR)
% Number of literals : 214 ( 22 equ; 121 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-2 aty)
% Number of variables : 135 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_11,plain,
( member(X1,X2)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(X1,intersection(X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9bwef34t/lgb.p',i_0_11) ).
cnf(i_0_65,plain,
ilf_type(X1,set_type),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9bwef34t/lgb.p',i_0_65) ).
cnf(i_0_47,plain,
( X1 = X2
| member(esk11_2(X1,X2),X2)
| member(esk11_2(X1,X2),X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9bwef34t/lgb.p',i_0_47) ).
cnf(i_0_13,plain,
( ilf_type(X1,subset_type(cross_product(X2,X3)))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,relation_type(X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9bwef34t/lgb.p',i_0_13) ).
cnf(i_0_61,plain,
( ~ empty(X1)
| ~ member(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9bwef34t/lgb.p',i_0_61) ).
cnf(i_0_10,plain,
( member(X1,X2)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(X1,intersection(X3,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9bwef34t/lgb.p',i_0_10) ).
cnf(i_0_29,plain,
( ilf_type(X1,member_type(power_set(X2)))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X1,subset_type(X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9bwef34t/lgb.p',i_0_29) ).
cnf(i_0_67,negated_conjecture,
ilf_type(esk18_0,relation_type(esk16_0,esk17_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9bwef34t/lgb.p',i_0_67) ).
cnf(i_0_44,plain,
( empty(X1)
| ilf_type(X2,member_type(X1))
| ~ member(X2,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9bwef34t/lgb.p',i_0_44) ).
cnf(i_0_41,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ member(X3,power_set(X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9bwef34t/lgb.p',i_0_41) ).
cnf(i_0_39,plain,
( member(X1,power_set(X2))
| member(esk9_2(X1,X2),X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9bwef34t/lgb.p',i_0_39) ).
cnf(i_0_45,plain,
( empty(X1)
| member(X2,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X2,member_type(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9bwef34t/lgb.p',i_0_45) ).
cnf(i_0_43,plain,
( ~ empty(power_set(X1))
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9bwef34t/lgb.p',i_0_43) ).
cnf(i_0_22,plain,
( intersection(X1,X2) = intersection(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9bwef34t/lgb.p',i_0_22) ).
cnf(i_0_9,plain,
( member(X1,intersection(X2,X3))
| ~ member(X1,X3)
| ~ member(X1,X2)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9bwef34t/lgb.p',i_0_9) ).
cnf(i_0_38,plain,
( member(X1,power_set(X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(esk9_2(X1,X2),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9bwef34t/lgb.p',i_0_38) ).
cnf(i_0_48,plain,
( X1 = X2
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(esk11_2(X1,X2),X2)
| ~ member(esk11_2(X1,X2),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9bwef34t/lgb.p',i_0_48) ).
cnf(i_0_66,negated_conjecture,
intersection(esk18_0,cross_product(esk16_0,esk17_0)) != esk18_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9bwef34t/lgb.p',i_0_66) ).
cnf(c_0_86,plain,
( member(X1,X2)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(X1,intersection(X2,X3)) ),
i_0_11 ).
cnf(c_0_87,plain,
ilf_type(X1,set_type),
i_0_65 ).
cnf(c_0_88,plain,
( X1 = X2
| member(esk11_2(X1,X2),X2)
| member(esk11_2(X1,X2),X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
i_0_47 ).
cnf(c_0_89,plain,
( ilf_type(X1,subset_type(cross_product(X2,X3)))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,relation_type(X2,X3)) ),
i_0_13 ).
cnf(c_0_90,plain,
( ~ empty(X1)
| ~ member(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
i_0_61 ).
cnf(c_0_91,plain,
( member(X1,X2)
| ~ member(X1,intersection(X2,X3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_86,c_0_87]),c_0_87]),c_0_87])]) ).
cnf(c_0_92,plain,
( X1 = X2
| member(esk11_2(X1,X2),X1)
| member(esk11_2(X1,X2),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_87]),c_0_87])]) ).
cnf(c_0_93,plain,
( member(X1,X2)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(X1,intersection(X3,X2)) ),
i_0_10 ).
cnf(c_0_94,plain,
( ilf_type(X1,member_type(power_set(X2)))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X1,subset_type(X2)) ),
i_0_29 ).
cnf(c_0_95,plain,
( ilf_type(X1,subset_type(cross_product(X2,X3)))
| ~ ilf_type(X1,relation_type(X2,X3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_87]),c_0_87])]) ).
cnf(c_0_96,negated_conjecture,
ilf_type(esk18_0,relation_type(esk16_0,esk17_0)),
i_0_67 ).
cnf(c_0_97,plain,
( empty(X1)
| ilf_type(X2,member_type(X1))
| ~ member(X2,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type) ),
i_0_44 ).
cnf(c_0_98,plain,
( ~ empty(X1)
| ~ member(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_87]),c_0_87])]) ).
cnf(c_0_99,plain,
( X1 = intersection(X2,X3)
| member(esk11_2(X1,intersection(X2,X3)),X1)
| member(esk11_2(X1,intersection(X2,X3)),X2) ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_100,plain,
( member(X1,X2)
| ~ member(X1,intersection(X3,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_87]),c_0_87]),c_0_87])]) ).
cnf(c_0_101,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ member(X3,power_set(X2)) ),
i_0_41 ).
cnf(c_0_102,plain,
( member(X1,power_set(X2))
| member(esk9_2(X1,X2),X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
i_0_39 ).
cnf(c_0_103,plain,
( empty(X1)
| member(X2,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X2,member_type(X1)) ),
i_0_45 ).
cnf(c_0_104,plain,
( ilf_type(X1,member_type(power_set(X2)))
| ~ ilf_type(X1,subset_type(X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_87]),c_0_87])]) ).
cnf(c_0_105,negated_conjecture,
ilf_type(esk18_0,subset_type(cross_product(esk16_0,esk17_0))),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_106,plain,
( ~ empty(power_set(X1))
| ~ ilf_type(X1,set_type) ),
i_0_43 ).
cnf(c_0_107,plain,
( ilf_type(X1,member_type(X2))
| ~ member(X1,X2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_87]),c_0_87])]),c_0_98]) ).
cnf(c_0_108,plain,
( intersection(X1,X2) = X1
| member(esk11_2(X1,intersection(X1,X2)),X1) ),
inference(ef,[status(thm)],[c_0_99]) ).
cnf(c_0_109,plain,
( intersection(X1,X2) = intersection(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
i_0_22 ).
cnf(c_0_110,plain,
( intersection(X1,X2) = X3
| member(esk11_2(intersection(X1,X2),X3),X3)
| member(esk11_2(intersection(X1,X2),X3),X2) ),
inference(spm,[status(thm)],[c_0_100,c_0_92]) ).
cnf(c_0_111,plain,
( member(X1,intersection(X2,X3))
| ~ member(X1,X3)
| ~ member(X1,X2)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
i_0_9 ).
cnf(c_0_112,plain,
( member(X1,X2)
| ~ member(X3,power_set(X2))
| ~ member(X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_101,c_0_87]),c_0_87]),c_0_87])]) ).
cnf(c_0_113,plain,
( member(esk9_2(X1,X2),X1)
| member(X1,power_set(X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_87]),c_0_87])]) ).
cnf(c_0_114,plain,
( empty(X1)
| member(X2,X1)
| ~ ilf_type(X2,member_type(X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_103,c_0_87]),c_0_87])]) ).
cnf(c_0_115,plain,
ilf_type(esk18_0,member_type(power_set(cross_product(esk16_0,esk17_0)))),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_116,plain,
~ empty(power_set(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_87])]) ).
cnf(c_0_117,plain,
( intersection(X1,X2) = X1
| ilf_type(esk11_2(X1,intersection(X1,X2)),member_type(X1)) ),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_118,plain,
intersection(X1,X2) = intersection(X2,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_109,c_0_87]),c_0_87])]) ).
cnf(c_0_119,plain,
( intersection(X1,X2) = X2
| member(esk11_2(intersection(X1,X2),X2),X2) ),
inference(ef,[status(thm)],[c_0_110]) ).
cnf(c_0_120,plain,
( member(X1,intersection(X2,X3))
| ~ member(X1,X3)
| ~ member(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_111,c_0_87]),c_0_87]),c_0_87])]) ).
cnf(c_0_121,plain,
( member(esk9_2(X1,X2),X3)
| member(X1,power_set(X2))
| ~ member(X1,power_set(X3)) ),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_122,plain,
member(esk18_0,power_set(cross_product(esk16_0,esk17_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_116]) ).
cnf(c_0_123,plain,
( intersection(X1,X2) = X2
| ilf_type(esk11_2(X2,intersection(X1,X2)),member_type(X2)) ),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_124,plain,
( intersection(X1,X2) = X2
| ~ empty(X2) ),
inference(spm,[status(thm)],[c_0_98,c_0_119]) ).
cnf(c_0_125,plain,
( member(X1,power_set(X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(esk9_2(X1,X2),X2) ),
i_0_38 ).
cnf(c_0_126,plain,
( member(esk9_2(X1,X2),intersection(X3,X1))
| member(X1,power_set(X2))
| ~ member(esk9_2(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_120,c_0_113]) ).
cnf(c_0_127,plain,
( member(esk9_2(esk18_0,X1),cross_product(esk16_0,esk17_0))
| member(esk18_0,power_set(X1)) ),
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_128,plain,
( intersection(X1,X2) = X2
| member(esk11_2(X2,intersection(X1,X2)),X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_123]),c_0_124]) ).
cnf(c_0_129,plain,
( member(X1,power_set(X2))
| ~ member(esk9_2(X1,X2),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_125,c_0_87]),c_0_87])]) ).
cnf(c_0_130,plain,
( member(esk9_2(esk18_0,X1),intersection(esk18_0,cross_product(esk16_0,esk17_0)))
| member(esk18_0,power_set(X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_118]) ).
cnf(c_0_131,plain,
( intersection(X1,X2) = X2
| member(esk11_2(X2,intersection(X1,X2)),X3)
| ~ member(X2,power_set(X3)) ),
inference(spm,[status(thm)],[c_0_112,c_0_128]) ).
cnf(c_0_132,plain,
member(esk18_0,power_set(intersection(esk18_0,cross_product(esk16_0,esk17_0)))),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_133,plain,
( X1 = X2
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(esk11_2(X1,X2),X2)
| ~ member(esk11_2(X1,X2),X1) ),
i_0_48 ).
cnf(c_0_134,plain,
( intersection(X1,esk18_0) = esk18_0
| member(esk11_2(esk18_0,intersection(X1,esk18_0)),intersection(esk18_0,cross_product(esk16_0,esk17_0))) ),
inference(spm,[status(thm)],[c_0_131,c_0_132]) ).
cnf(c_0_135,plain,
( X1 = X2
| ~ member(esk11_2(X1,X2),X2)
| ~ member(esk11_2(X1,X2),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_133,c_0_87]),c_0_87])]) ).
cnf(c_0_136,plain,
( intersection(esk18_0,X1) = esk18_0
| member(esk11_2(esk18_0,intersection(esk18_0,X1)),intersection(esk18_0,cross_product(esk16_0,esk17_0))) ),
inference(spm,[status(thm)],[c_0_134,c_0_118]) ).
cnf(c_0_137,negated_conjecture,
intersection(esk18_0,cross_product(esk16_0,esk17_0)) != esk18_0,
i_0_66 ).
cnf(c_0_138,plain,
~ member(esk11_2(esk18_0,intersection(esk18_0,cross_product(esk16_0,esk17_0))),esk18_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_137]) ).
cnf(c_0_139,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_108]),c_0_137]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET656+3 : TPTP v8.1.0. Released v2.2.0.
% 0.00/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n003.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 : Sun Jul 10 20:31:01 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 9.02/2.41 # ENIGMATIC: Solved by autoschedule-lgb:
% 9.02/2.41 # No SInE strategy applied
% 9.02/2.41 # Trying AutoSched0 for 150 seconds
% 9.02/2.41 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI
% 9.02/2.41 # and selection function SelectCQArNTNpEqFirst.
% 9.02/2.41 #
% 9.02/2.41 # Preprocessing time : 0.013 s
% 9.02/2.41 # Presaturation interreduction done
% 9.02/2.41
% 9.02/2.41 # Proof found!
% 9.02/2.41 # SZS status Theorem
% 9.02/2.41 # SZS output start CNFRefutation
% See solution above
% 9.02/2.41 # Training examples: 0 positive, 0 negative
% 9.02/2.41
% 9.02/2.41 # -------------------------------------------------
% 9.02/2.41 # User time : 0.161 s
% 9.02/2.41 # System time : 0.012 s
% 9.02/2.41 # Total time : 0.174 s
% 9.02/2.41 # Maximum resident set size: 7124 pages
% 9.02/2.41
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