TSTP Solution File: SET646+3 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET646+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n012.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 00:13:09 EDT 2022
% Result : Theorem 9.12s 2.64s
% Output : CNFRefutation 9.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of clauses : 40 ( 13 unt; 6 nHn; 36 RR)
% Number of literals : 114 ( 6 equ; 73 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-2 aty)
% Number of variables : 69 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_13,plain,
( X1 = X2
| X3 != singleton(X2)
| ~ member(X1,X3)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-47y6ptlm/input.p',i_0_13) ).
cnf(i_0_54,plain,
ilf_type(X1,set_type),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-47y6ptlm/input.p',i_0_54) ).
cnf(i_0_35,plain,
( member(X1,power_set(X2))
| member(esk6_2(X1,X2),X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-47y6ptlm/input.p',i_0_35) ).
cnf(i_0_3,plain,
( member(ordered_pair(X1,X2),cross_product(X3,X4))
| ~ member(X2,X4)
| ~ member(X1,X3)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-47y6ptlm/input.p',i_0_3) ).
cnf(i_0_34,plain,
( member(X1,power_set(X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(esk6_2(X1,X2),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-47y6ptlm/input.p',i_0_34) ).
cnf(i_0_56,negated_conjecture,
member(esk15_0,esk13_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-47y6ptlm/input.p',i_0_56) ).
cnf(i_0_45,plain,
( ~ empty(X1)
| ~ member(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-47y6ptlm/input.p',i_0_45) ).
cnf(i_0_57,negated_conjecture,
member(esk14_0,esk12_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-47y6ptlm/input.p',i_0_57) ).
cnf(i_0_40,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-47y6ptlm/input.p',i_0_40) ).
cnf(i_0_21,plain,
( ilf_type(X1,subset_type(X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X1,member_type(power_set(X2))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-47y6ptlm/input.p',i_0_21) ).
cnf(i_0_7,plain,
( ilf_type(X1,relation_type(X2,X3))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,subset_type(cross_product(X2,X3))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-47y6ptlm/input.p',i_0_7) ).
cnf(i_0_55,negated_conjecture,
~ ilf_type(singleton(ordered_pair(esk14_0,esk15_0)),relation_type(esk12_0,esk13_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-47y6ptlm/input.p',i_0_55) ).
cnf(c_0_70,plain,
( X1 = X2
| X3 != singleton(X2)
| ~ member(X1,X3)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X1,set_type) ),
i_0_13 ).
cnf(c_0_71,plain,
ilf_type(X1,set_type),
i_0_54 ).
cnf(c_0_72,plain,
( member(X1,power_set(X2))
| member(esk6_2(X1,X2),X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
i_0_35 ).
cnf(c_0_73,plain,
( member(ordered_pair(X1,X2),cross_product(X3,X4))
| ~ member(X2,X4)
| ~ member(X1,X3)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X1,set_type) ),
i_0_3 ).
cnf(c_0_74,plain,
( member(X1,power_set(X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(esk6_2(X1,X2),X2) ),
i_0_34 ).
cnf(c_0_75,plain,
( X1 = X2
| ~ member(X1,singleton(X2)) ),
inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_71]),c_0_71]),c_0_71]),c_0_71])])]) ).
cnf(c_0_76,plain,
( member(esk6_2(X1,X2),X1)
| member(X1,power_set(X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_71]),c_0_71])]) ).
cnf(c_0_77,plain,
( member(ordered_pair(X1,X2),cross_product(X3,X4))
| ~ member(X2,X4)
| ~ member(X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_71]),c_0_71]),c_0_71]),c_0_71])]) ).
cnf(c_0_78,negated_conjecture,
member(esk15_0,esk13_0),
i_0_56 ).
cnf(c_0_79,plain,
( ~ empty(X1)
| ~ member(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
i_0_45 ).
cnf(c_0_80,plain,
( member(X1,power_set(X2))
| ~ member(esk6_2(X1,X2),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_71]),c_0_71])]) ).
cnf(c_0_81,plain,
( esk6_2(singleton(X1),X2) = X1
| member(singleton(X1),power_set(X2)) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_82,negated_conjecture,
( member(ordered_pair(X1,esk15_0),cross_product(X2,esk13_0))
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_83,negated_conjecture,
member(esk14_0,esk12_0),
i_0_57 ).
cnf(c_0_84,plain,
( empty(X1)
| ilf_type(X2,member_type(X1))
| ~ member(X2,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type) ),
i_0_40 ).
cnf(c_0_85,plain,
( ~ empty(X1)
| ~ member(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_71]),c_0_71])]) ).
cnf(c_0_86,plain,
( member(singleton(X1),power_set(X2))
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_87,negated_conjecture,
member(ordered_pair(esk14_0,esk15_0),cross_product(esk12_0,esk13_0)),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_88,plain,
( ilf_type(X1,subset_type(X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X1,member_type(power_set(X2))) ),
i_0_21 ).
cnf(c_0_89,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_84,c_0_71]),c_0_71])]),c_0_85]) ).
cnf(c_0_90,negated_conjecture,
member(singleton(ordered_pair(esk14_0,esk15_0)),power_set(cross_product(esk12_0,esk13_0))),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_91,plain,
( ilf_type(X1,relation_type(X2,X3))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,subset_type(cross_product(X2,X3))) ),
i_0_7 ).
cnf(c_0_92,plain,
( ilf_type(X1,subset_type(X2))
| ~ ilf_type(X1,member_type(power_set(X2))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_71]),c_0_71])]) ).
cnf(c_0_93,plain,
ilf_type(singleton(ordered_pair(esk14_0,esk15_0)),member_type(power_set(cross_product(esk12_0,esk13_0)))),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_94,plain,
( ilf_type(X1,relation_type(X2,X3))
| ~ ilf_type(X1,subset_type(cross_product(X2,X3))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_71]),c_0_71])]) ).
cnf(c_0_95,plain,
ilf_type(singleton(ordered_pair(esk14_0,esk15_0)),subset_type(cross_product(esk12_0,esk13_0))),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_96,negated_conjecture,
~ ilf_type(singleton(ordered_pair(esk14_0,esk15_0)),relation_type(esk12_0,esk13_0)),
i_0_55 ).
cnf(c_0_97,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_96]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SET646+3 : TPTP v8.1.0. Released v2.2.0.
% 0.08/0.15 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.36 % Computer : n012.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sun Jul 10 23:26:14 EDT 2022
% 0.14/0.37 % CPUTime :
% 0.22/0.48 # ENIGMATIC: Selected complete mode:
% 9.12/2.64 # ENIGMATIC: Solved by autoschedule:
% 9.12/2.64 # No SInE strategy applied
% 9.12/2.64 # Trying AutoSched0 for 150 seconds
% 9.12/2.64 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
% 9.12/2.64 # and selection function SelectNewComplexAHP.
% 9.12/2.64 #
% 9.12/2.64 # Preprocessing time : 0.025 s
% 9.12/2.64 # Presaturation interreduction done
% 9.12/2.64
% 9.12/2.64 # Proof found!
% 9.12/2.64 # SZS status Theorem
% 9.12/2.64 # SZS output start CNFRefutation
% See solution above
% 9.12/2.64 # Training examples: 0 positive, 0 negative
% 9.12/2.64
% 9.12/2.64 # -------------------------------------------------
% 9.12/2.64 # User time : 0.077 s
% 9.12/2.64 # System time : 0.009 s
% 9.12/2.64 # Total time : 0.086 s
% 9.12/2.64 # Maximum resident set size: 7120 pages
% 9.12/2.64
%------------------------------------------------------------------------------