%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET644+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n007.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 00:13:08 EDT 2022
% Result : Theorem 4.43s 2.17s
% Output : CNFRefutation 4.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of clauses : 49 ( 16 unt; 3 nHn; 47 RR)
% Number of literals : 140 ( 7 equ; 96 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-2 aty)
% Number of variables : 85 ( 11 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_10,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-b0u3vz8p/lgb.p',i_0_10) ).
cnf(i_0_57,plain,
ilf_type(X1,set_type),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b0u3vz8p/lgb.p',i_0_57) ).
cnf(i_0_25,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-b0u3vz8p/lgb.p',i_0_25) ).
cnf(i_0_60,negated_conjecture,
ilf_type(esk17_0,relation_type(esk14_0,esk15_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b0u3vz8p/lgb.p',i_0_60) ).
cnf(i_0_52,plain,
( relation_like(X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X1,subset_type(cross_product(X3,X2))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b0u3vz8p/lgb.p',i_0_52) ).
cnf(i_0_44,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-b0u3vz8p/lgb.p',i_0_44) ).
cnf(i_0_42,plain,
( ~ empty(power_set(X1))
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b0u3vz8p/lgb.p',i_0_42) ).
cnf(i_0_49,plain,
( ordered_pair(esk10_2(X1,X2),esk11_2(X1,X2)) = X2
| ~ relation_like(X1)
| ~ member(X2,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b0u3vz8p/lgb.p',i_0_49) ).
cnf(i_0_40,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-b0u3vz8p/lgb.p',i_0_40) ).
cnf(i_0_5,plain,
( member(X1,X2)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(ordered_pair(X4,X1),cross_product(X3,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b0u3vz8p/lgb.p',i_0_5) ).
cnf(i_0_59,negated_conjecture,
member(esk16_0,esk17_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b0u3vz8p/lgb.p',i_0_59) ).
cnf(i_0_58,negated_conjecture,
( ordered_pair(X1,X2) != esk16_0
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(X2,esk15_0)
| ~ member(X1,esk14_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b0u3vz8p/lgb.p',i_0_58) ).
cnf(i_0_6,plain,
( member(X1,X2)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(ordered_pair(X1,X4),cross_product(X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b0u3vz8p/lgb.p',i_0_6) ).
cnf(c_0_74,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_10 ).
cnf(c_0_75,plain,
ilf_type(X1,set_type),
i_0_57 ).
cnf(c_0_76,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_25 ).
cnf(c_0_77,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_74,c_0_75]),c_0_75])]) ).
cnf(c_0_78,negated_conjecture,
ilf_type(esk17_0,relation_type(esk14_0,esk15_0)),
i_0_60 ).
cnf(c_0_79,plain,
( relation_like(X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X1,subset_type(cross_product(X3,X2))) ),
i_0_52 ).
cnf(c_0_80,plain,
( empty(X1)
| member(X2,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X2,member_type(X1)) ),
i_0_44 ).
cnf(c_0_81,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_76,c_0_75]),c_0_75])]) ).
cnf(c_0_82,negated_conjecture,
ilf_type(esk17_0,subset_type(cross_product(esk14_0,esk15_0))),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_83,plain,
( ~ empty(power_set(X1))
| ~ ilf_type(X1,set_type) ),
i_0_42 ).
cnf(c_0_84,plain,
( ordered_pair(esk10_2(X1,X2),esk11_2(X1,X2)) = X2
| ~ relation_like(X1)
| ~ member(X2,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type) ),
i_0_49 ).
cnf(c_0_85,plain,
( relation_like(X1)
| ~ ilf_type(X1,subset_type(cross_product(X2,X3))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_75]),c_0_75])]) ).
cnf(c_0_86,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_40 ).
cnf(c_0_87,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_80,c_0_75]),c_0_75])]) ).
cnf(c_0_88,plain,
ilf_type(esk17_0,member_type(power_set(cross_product(esk14_0,esk15_0)))),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_89,plain,
~ empty(power_set(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_75])]) ).
cnf(c_0_90,plain,
( member(X1,X2)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(ordered_pair(X4,X1),cross_product(X3,X2)) ),
i_0_5 ).
cnf(c_0_91,plain,
( ordered_pair(esk10_2(X1,X2),esk11_2(X1,X2)) = X2
| ~ relation_like(X1)
| ~ member(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_75]),c_0_75])]) ).
cnf(c_0_92,negated_conjecture,
member(esk16_0,esk17_0),
i_0_59 ).
cnf(c_0_93,plain,
relation_like(esk17_0),
inference(spm,[status(thm)],[c_0_85,c_0_82]) ).
cnf(c_0_94,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_86,c_0_75]),c_0_75]),c_0_75])]) ).
cnf(c_0_95,plain,
member(esk17_0,power_set(cross_product(esk14_0,esk15_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_89]) ).
cnf(c_0_96,negated_conjecture,
( ordered_pair(X1,X2) != esk16_0
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(X2,esk15_0)
| ~ member(X1,esk14_0) ),
i_0_58 ).
cnf(c_0_97,plain,
( member(X1,X2)
| ~ member(ordered_pair(X3,X1),cross_product(X4,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_75]),c_0_75]),c_0_75]),c_0_75])]) ).
cnf(c_0_98,negated_conjecture,
ordered_pair(esk10_2(esk17_0,esk16_0),esk11_2(esk17_0,esk16_0)) = esk16_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93])]) ).
cnf(c_0_99,plain,
( member(X1,cross_product(esk14_0,esk15_0))
| ~ member(X1,esk17_0) ),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_100,plain,
( member(X1,X2)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(ordered_pair(X1,X4),cross_product(X2,X3)) ),
i_0_6 ).
cnf(c_0_101,negated_conjecture,
( ordered_pair(X1,X2) != esk16_0
| ~ member(X2,esk15_0)
| ~ member(X1,esk14_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_96,c_0_75]),c_0_75])]) ).
cnf(c_0_102,plain,
( member(esk11_2(esk17_0,esk16_0),X1)
| ~ member(esk16_0,cross_product(X2,X1)) ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_103,negated_conjecture,
member(esk16_0,cross_product(esk14_0,esk15_0)),
inference(spm,[status(thm)],[c_0_99,c_0_92]) ).
cnf(c_0_104,plain,
( member(X1,X2)
| ~ member(ordered_pair(X1,X3),cross_product(X2,X4)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_75]),c_0_75]),c_0_75]),c_0_75])]) ).
cnf(c_0_105,negated_conjecture,
( ~ member(esk11_2(esk17_0,esk16_0),esk15_0)
| ~ member(esk10_2(esk17_0,esk16_0),esk14_0) ),
inference(spm,[status(thm)],[c_0_101,c_0_98]) ).
cnf(c_0_106,negated_conjecture,
member(esk11_2(esk17_0,esk16_0),esk15_0),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_107,plain,
( member(esk10_2(esk17_0,esk16_0),X1)
| ~ member(esk16_0,cross_product(X1,X2)) ),
inference(spm,[status(thm)],[c_0_104,c_0_98]) ).
cnf(c_0_108,negated_conjecture,
~ member(esk10_2(esk17_0,esk16_0),esk14_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_106])]) ).
cnf(c_0_109,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_103]),c_0_108]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12 % Problem : SET644+3 : TPTP v8.1.0. Released v2.2.0.
% 0.09/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n007.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 20:41:49 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 4.43/2.17 # ENIGMATIC: Solved by autoschedule-lgb:
% 4.43/2.17 # No SInE strategy applied
% 4.43/2.17 # Trying AutoSched0 for 150 seconds
% 4.43/2.17 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
% 4.43/2.17 # and selection function SelectNewComplexAHP.
% 4.43/2.17 #
% 4.43/2.17 # Preprocessing time : 0.024 s
% 4.43/2.17 # Presaturation interreduction done
% 4.43/2.17
% 4.43/2.17 # Proof found!
% 4.43/2.17 # SZS status Theorem
% 4.43/2.17 # SZS output start CNFRefutation
% See solution above
% 4.43/2.17 # Training examples: 0 positive, 0 negative
% 4.43/2.17
% 4.43/2.17 # -------------------------------------------------
% 4.43/2.17 # User time : 0.033 s
% 4.43/2.17 # System time : 0.006 s
% 4.43/2.17 # Total time : 0.039 s
% 4.43/2.17 # Maximum resident set size: 7124 pages
% 4.43/2.17
%------------------------------------------------------------------------------