TSTP Solution File: SET645+3 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET645+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n016.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 8.55s 2.40s
% Output : CNFRefutation 8.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of clauses : 37 ( 14 unt; 3 nHn; 35 RR)
% Number of literals : 100 ( 0 equ; 66 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 60 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_7,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-z2kz3q_e/lgb.p',i_0_7) ).
cnf(i_0_42,plain,
ilf_type(X1,set_type),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z2kz3q_e/lgb.p',i_0_42) ).
cnf(i_0_15,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-z2kz3q_e/lgb.p',i_0_15) ).
cnf(i_0_45,negated_conjecture,
ilf_type(esk14_0,relation_type(esk10_0,esk11_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z2kz3q_e/lgb.p',i_0_45) ).
cnf(i_0_29,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-z2kz3q_e/lgb.p',i_0_29) ).
cnf(i_0_27,plain,
( ~ empty(power_set(X1))
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z2kz3q_e/lgb.p',i_0_27) ).
cnf(i_0_25,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-z2kz3q_e/lgb.p',i_0_25) ).
cnf(i_0_2,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-z2kz3q_e/lgb.p',i_0_2) ).
cnf(i_0_44,negated_conjecture,
member(ordered_pair(esk12_0,esk13_0),esk14_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z2kz3q_e/lgb.p',i_0_44) ).
cnf(i_0_3,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-z2kz3q_e/lgb.p',i_0_3) ).
cnf(i_0_43,negated_conjecture,
( ~ member(esk12_0,esk10_0)
| ~ member(esk13_0,esk11_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z2kz3q_e/lgb.p',i_0_43) ).
cnf(c_0_57,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_7 ).
cnf(c_0_58,plain,
ilf_type(X1,set_type),
i_0_42 ).
cnf(c_0_59,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_15 ).
cnf(c_0_60,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_57,c_0_58]),c_0_58])]) ).
cnf(c_0_61,negated_conjecture,
ilf_type(esk14_0,relation_type(esk10_0,esk11_0)),
i_0_45 ).
cnf(c_0_62,plain,
( empty(X1)
| member(X2,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X2,member_type(X1)) ),
i_0_29 ).
cnf(c_0_63,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_59,c_0_58]),c_0_58])]) ).
cnf(c_0_64,negated_conjecture,
ilf_type(esk14_0,subset_type(cross_product(esk10_0,esk11_0))),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_65,plain,
( ~ empty(power_set(X1))
| ~ ilf_type(X1,set_type) ),
i_0_27 ).
cnf(c_0_66,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_25 ).
cnf(c_0_67,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_62,c_0_58]),c_0_58])]) ).
cnf(c_0_68,plain,
ilf_type(esk14_0,member_type(power_set(cross_product(esk10_0,esk11_0)))),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_69,plain,
~ empty(power_set(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_58])]) ).
cnf(c_0_70,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_66,c_0_58]),c_0_58]),c_0_58])]) ).
cnf(c_0_71,plain,
member(esk14_0,power_set(cross_product(esk10_0,esk11_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69]) ).
cnf(c_0_72,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_2 ).
cnf(c_0_73,plain,
( member(X1,cross_product(esk10_0,esk11_0))
| ~ member(X1,esk14_0) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_74,negated_conjecture,
member(ordered_pair(esk12_0,esk13_0),esk14_0),
i_0_44 ).
cnf(c_0_75,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_72,c_0_58]),c_0_58]),c_0_58]),c_0_58])]) ).
cnf(c_0_76,negated_conjecture,
member(ordered_pair(esk12_0,esk13_0),cross_product(esk10_0,esk11_0)),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_77,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_3 ).
cnf(c_0_78,negated_conjecture,
( ~ member(esk12_0,esk10_0)
| ~ member(esk13_0,esk11_0) ),
i_0_43 ).
cnf(c_0_79,plain,
member(esk13_0,esk11_0),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_80,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_77,c_0_58]),c_0_58]),c_0_58]),c_0_58])]) ).
cnf(c_0_81,negated_conjecture,
~ member(esk12_0,esk10_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_79])]) ).
cnf(c_0_82,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_76]),c_0_81]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET645+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 : n016.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 : Sat Jul 9 19:23:42 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 # ENIGMATIC: Selected complete mode:
% 8.55/2.40 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.55/2.40 # No SInE strategy applied
% 8.55/2.40 # Trying AutoSched0 for 150 seconds
% 8.55/2.40 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
% 8.55/2.40 # and selection function SelectNewComplexAHP.
% 8.55/2.40 #
% 8.55/2.40 # Preprocessing time : 0.024 s
% 8.55/2.40 # Presaturation interreduction done
% 8.55/2.40
% 8.55/2.40 # Proof found!
% 8.55/2.40 # SZS status Theorem
% 8.55/2.40 # SZS output start CNFRefutation
% See solution above
% 8.55/2.40 # Training examples: 0 positive, 0 negative
% 8.55/2.40
% 8.55/2.40 # -------------------------------------------------
% 8.55/2.40 # User time : 0.030 s
% 8.55/2.40 # System time : 0.004 s
% 8.55/2.40 # Total time : 0.034 s
% 8.55/2.40 # Maximum resident set size: 7124 pages
% 8.55/2.40
%------------------------------------------------------------------------------