TSTP Solution File: SET647+3 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET647+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n013.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 00:13:10 EDT 2022
% Result : Theorem 8.56s 2.60s
% Output : CNFRefutation 8.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 14
% Syntax : Number of clauses : 46 ( 12 unt; 5 nHn; 42 RR)
% Number of literals : 132 ( 0 equ; 88 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-2 aty)
% Number of variables : 80 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_1,plain,
( subset(X1,X2)
| ~ subset(X3,X2)
| ~ subset(X1,X3)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-97icdvh4/lgb.p',i_0_1) ).
cnf(i_0_50,plain,
ilf_type(X1,set_type),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-97icdvh4/lgb.p',i_0_50) ).
cnf(i_0_4,plain,
( subset(cross_product(X1,X2),cross_product(X3,X2))
| ~ subset(X1,X3)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-97icdvh4/lgb.p',i_0_4) ).
cnf(i_0_2,plain,
( subset(X1,cross_product(domain_of(X1),range_of(X1)))
| ~ ilf_type(X1,binary_relation_type) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-97icdvh4/lgb.p',i_0_2) ).
cnf(i_0_48,plain,
( ~ empty(X1)
| ~ member(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-97icdvh4/lgb.p',i_0_48) ).
cnf(i_0_23,plain,
( member(X1,X2)
| ~ subset(X3,X2)
| ~ member(X1,X3)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-97icdvh4/lgb.p',i_0_23) ).
cnf(i_0_52,negated_conjecture,
subset(domain_of(esk14_0),esk13_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-97icdvh4/lgb.p',i_0_52) ).
cnf(i_0_53,negated_conjecture,
ilf_type(esk14_0,binary_relation_type),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-97icdvh4/lgb.p',i_0_53) ).
cnf(i_0_6,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-97icdvh4/lgb.p',i_0_6) ).
cnf(i_0_26,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-97icdvh4/lgb.p',i_0_26) ).
cnf(i_0_43,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-97icdvh4/lgb.p',i_0_43) ).
cnf(i_0_37,plain,
( member(X1,power_set(X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(esk10_2(X1,X2),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-97icdvh4/lgb.p',i_0_37) ).
cnf(i_0_51,negated_conjecture,
~ ilf_type(esk14_0,relation_type(esk13_0,range_of(esk14_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-97icdvh4/lgb.p',i_0_51) ).
cnf(i_0_38,plain,
( member(X1,power_set(X2))
| member(esk10_2(X1,X2),X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-97icdvh4/lgb.p',i_0_38) ).
cnf(c_0_68,plain,
( subset(X1,X2)
| ~ subset(X3,X2)
| ~ subset(X1,X3)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X1,set_type) ),
i_0_1 ).
cnf(c_0_69,plain,
ilf_type(X1,set_type),
i_0_50 ).
cnf(c_0_70,plain,
( subset(cross_product(X1,X2),cross_product(X3,X2))
| ~ subset(X1,X3)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
i_0_4 ).
cnf(c_0_71,plain,
( subset(X1,X2)
| ~ subset(X3,X2)
| ~ subset(X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_69]),c_0_69]),c_0_69])]) ).
cnf(c_0_72,plain,
( subset(cross_product(X1,X2),cross_product(X3,X2))
| ~ subset(X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_69]),c_0_69]),c_0_69])]) ).
cnf(c_0_73,plain,
( subset(X1,cross_product(X2,X3))
| ~ subset(X1,cross_product(X4,X3))
| ~ subset(X4,X2) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_74,plain,
( subset(X1,cross_product(domain_of(X1),range_of(X1)))
| ~ ilf_type(X1,binary_relation_type) ),
i_0_2 ).
cnf(c_0_75,plain,
( ~ empty(X1)
| ~ member(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
i_0_48 ).
cnf(c_0_76,plain,
( member(X1,X2)
| ~ subset(X3,X2)
| ~ member(X1,X3)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type) ),
i_0_23 ).
cnf(c_0_77,plain,
( subset(X1,cross_product(X2,range_of(X1)))
| ~ ilf_type(X1,binary_relation_type)
| ~ subset(domain_of(X1),X2) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_78,negated_conjecture,
subset(domain_of(esk14_0),esk13_0),
i_0_52 ).
cnf(c_0_79,negated_conjecture,
ilf_type(esk14_0,binary_relation_type),
i_0_53 ).
cnf(c_0_80,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_6 ).
cnf(c_0_81,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_26 ).
cnf(c_0_82,plain,
( empty(X1)
| ilf_type(X2,member_type(X1))
| ~ member(X2,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type) ),
i_0_43 ).
cnf(c_0_83,plain,
( ~ empty(X1)
| ~ member(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_69]),c_0_69])]) ).
cnf(c_0_84,plain,
( member(X1,power_set(X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(esk10_2(X1,X2),X2) ),
i_0_37 ).
cnf(c_0_85,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ subset(X3,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_69]),c_0_69]),c_0_69])]) ).
cnf(c_0_86,negated_conjecture,
subset(esk14_0,cross_product(esk13_0,range_of(esk14_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_79])]) ).
cnf(c_0_87,negated_conjecture,
~ ilf_type(esk14_0,relation_type(esk13_0,range_of(esk14_0))),
i_0_51 ).
cnf(c_0_88,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_80,c_0_69]),c_0_69])]) ).
cnf(c_0_89,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_81,c_0_69]),c_0_69])]) ).
cnf(c_0_90,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_82,c_0_69]),c_0_69])]),c_0_83]) ).
cnf(c_0_91,plain,
( member(X1,power_set(X2))
| ~ member(esk10_2(X1,X2),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_69]),c_0_69])]) ).
cnf(c_0_92,plain,
( member(X1,cross_product(esk13_0,range_of(esk14_0)))
| ~ member(X1,esk14_0) ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_93,plain,
( member(X1,power_set(X2))
| member(esk10_2(X1,X2),X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
i_0_38 ).
cnf(c_0_94,negated_conjecture,
~ ilf_type(esk14_0,subset_type(cross_product(esk13_0,range_of(esk14_0)))),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_95,plain,
( ilf_type(X1,subset_type(X2))
| ~ member(X1,power_set(X2)) ),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_96,plain,
( member(X1,power_set(cross_product(esk13_0,range_of(esk14_0))))
| ~ member(esk10_2(X1,cross_product(esk13_0,range_of(esk14_0))),esk14_0) ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_97,plain,
( member(esk10_2(X1,X2),X1)
| member(X1,power_set(X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_69]),c_0_69])]) ).
cnf(c_0_98,negated_conjecture,
~ member(esk14_0,power_set(cross_product(esk13_0,range_of(esk14_0)))),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_99,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_98]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SET647+3 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n013.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 00:25:31 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 8.56/2.60 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.56/2.60 # No SInE strategy applied
% 8.56/2.60 # Trying AutoSched0 for 150 seconds
% 8.56/2.60 # AutoSched0-Mode selected heuristic G_E___107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YA
% 8.56/2.60 # and selection function SelectMaxLComplexAvoidPosPred.
% 8.56/2.60 #
% 8.56/2.60 # Preprocessing time : 0.019 s
% 8.56/2.60 # Presaturation interreduction done
% 8.56/2.60
% 8.56/2.60 # Proof found!
% 8.56/2.60 # SZS status Theorem
% 8.56/2.60 # SZS output start CNFRefutation
% See solution above
% 8.56/2.60 # Training examples: 0 positive, 0 negative
% 8.56/2.60
% 8.56/2.60 # -------------------------------------------------
% 8.56/2.60 # User time : 0.272 s
% 8.56/2.60 # System time : 0.012 s
% 8.56/2.60 # Total time : 0.284 s
% 8.56/2.60 # Maximum resident set size: 7124 pages
% 8.56/2.60
%------------------------------------------------------------------------------