TSTP Solution File: SET666+3 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET666+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n011.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 00:13:17 EDT 2022
% Result : Theorem 7.10s 2.30s
% Output : CNFRefutation 7.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of clauses : 39 ( 8 unt; 5 nHn; 35 RR)
% Number of literals : 109 ( 0 equ; 71 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 2 con; 0-2 aty)
% Number of variables : 70 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_44,plain,
( ~ empty(X1)
| ~ member(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-itazz__k/input.p',i_0_44) ).
cnf(i_0_46,plain,
ilf_type(X1,set_type),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-itazz__k/input.p',i_0_46) ).
cnf(i_0_18,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/sandbox/tmp/enigma-theBenchmark.p-itazz__k/input.p',i_0_18) ).
cnf(i_0_32,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/sandbox/tmp/enigma-theBenchmark.p-itazz__k/input.p',i_0_32) ).
cnf(i_0_2,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/sandbox/tmp/enigma-theBenchmark.p-itazz__k/input.p',i_0_2) ).
cnf(i_0_9,plain,
( ilf_type(X1,identity_relation_of_type(X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X1,relation_type(X2,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-itazz__k/input.p',i_0_9) ).
cnf(i_0_24,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/sandbox/tmp/enigma-theBenchmark.p-itazz__k/input.p',i_0_24) ).
cnf(i_0_4,plain,
( subset(identity_relation_of(X1),cross_product(X1,X1))
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-itazz__k/input.p',i_0_4) ).
cnf(i_0_26,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/sandbox/tmp/enigma-theBenchmark.p-itazz__k/input.p',i_0_26) ).
cnf(i_0_47,negated_conjecture,
~ ilf_type(identity_relation_of(esk12_0),identity_relation_of_type(esk12_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-itazz__k/input.p',i_0_47) ).
cnf(i_0_27,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/sandbox/tmp/enigma-theBenchmark.p-itazz__k/input.p',i_0_27) ).
cnf(c_0_59,plain,
( ~ empty(X1)
| ~ member(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
i_0_44 ).
cnf(c_0_60,plain,
ilf_type(X1,set_type),
i_0_46 ).
cnf(c_0_61,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_18 ).
cnf(c_0_62,plain,
( empty(X1)
| ilf_type(X2,member_type(X1))
| ~ member(X2,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type) ),
i_0_32 ).
cnf(c_0_63,plain,
( ~ member(X1,X2)
| ~ empty(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_60]),c_0_60])]) ).
cnf(c_0_64,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_2 ).
cnf(c_0_65,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_61,c_0_60]),c_0_60])]) ).
cnf(c_0_66,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_62,c_0_60]),c_0_60])]),c_0_63]) ).
cnf(c_0_67,plain,
( ilf_type(X1,identity_relation_of_type(X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X1,relation_type(X2,X2)) ),
i_0_9 ).
cnf(c_0_68,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_64,c_0_60]),c_0_60])]) ).
cnf(c_0_69,plain,
( ilf_type(X1,subset_type(X2))
| ~ member(X1,power_set(X2)) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_70,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_24 ).
cnf(c_0_71,plain,
( subset(identity_relation_of(X1),cross_product(X1,X1))
| ~ ilf_type(X1,set_type) ),
i_0_4 ).
cnf(c_0_72,plain,
( ilf_type(X1,identity_relation_of_type(X2))
| ~ ilf_type(X1,relation_type(X2,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_60]),c_0_60])]) ).
cnf(c_0_73,plain,
( ilf_type(X1,relation_type(X2,X3))
| ~ member(X1,power_set(cross_product(X2,X3))) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
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_26 ).
cnf(c_0_75,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_70,c_0_60]),c_0_60]),c_0_60])]) ).
cnf(c_0_76,plain,
subset(identity_relation_of(X1),cross_product(X1,X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_60])]) ).
cnf(c_0_77,negated_conjecture,
~ ilf_type(identity_relation_of(esk12_0),identity_relation_of_type(esk12_0)),
i_0_47 ).
cnf(c_0_78,plain,
( ilf_type(X1,identity_relation_of_type(X2))
| ~ member(X1,power_set(cross_product(X2,X2))) ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_79,plain,
( member(X1,power_set(X2))
| member(esk6_2(X1,X2),X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
i_0_27 ).
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_60]),c_0_60])]) ).
cnf(c_0_81,plain,
( member(X1,cross_product(X2,X2))
| ~ member(X1,identity_relation_of(X2)) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_82,negated_conjecture,
~ member(identity_relation_of(esk12_0),power_set(cross_product(esk12_0,esk12_0))),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_83,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_79,c_0_60]),c_0_60])]) ).
cnf(c_0_84,plain,
( member(X1,power_set(cross_product(X2,X2)))
| ~ member(esk6_2(X1,cross_product(X2,X2)),identity_relation_of(X2)) ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_85,plain,
member(esk6_2(identity_relation_of(esk12_0),cross_product(esk12_0,esk12_0)),identity_relation_of(esk12_0)),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_86,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_82]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET666+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jul 10 17:07:13 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 # ENIGMATIC: Selected complete mode:
% 7.10/2.30 # ENIGMATIC: Solved by autoschedule:
% 7.10/2.30 # No SInE strategy applied
% 7.10/2.30 # Trying AutoSched0 for 150 seconds
% 7.10/2.30 # AutoSched0-Mode selected heuristic G_E___208_C09_12_F1_SE_CS_SP_PS_S070I
% 7.10/2.30 # and selection function SelectVGNonCR.
% 7.10/2.30 #
% 7.10/2.30 # Preprocessing time : 0.013 s
% 7.10/2.30 # Presaturation interreduction done
% 7.10/2.30
% 7.10/2.30 # Proof found!
% 7.10/2.30 # SZS status Theorem
% 7.10/2.30 # SZS output start CNFRefutation
% See solution above
% 7.10/2.30 # Training examples: 0 positive, 0 negative
% 7.10/2.30
% 7.10/2.30 # -------------------------------------------------
% 7.10/2.30 # User time : 0.018 s
% 7.10/2.30 # System time : 0.003 s
% 7.10/2.30 # Total time : 0.021 s
% 7.10/2.30 # Maximum resident set size: 7124 pages
% 7.10/2.30
%------------------------------------------------------------------------------