TSTP Solution File: SET640+3 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET640+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n015.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 00:13:06 EDT 2022
% Result : Theorem 7.59s 2.33s
% Output : CNFRefutation 7.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of clauses : 40 ( 14 unt; 7 nHn; 36 RR)
% Number of literals : 107 ( 0 equ; 65 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 : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 59 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_9,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-gniwpr5y/lgb.p',i_0_9) ).
cnf(i_0_41,plain,
ilf_type(X1,set_type),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gniwpr5y/lgb.p',i_0_41) ).
cnf(i_0_18,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-gniwpr5y/lgb.p',i_0_18) ).
cnf(i_0_44,negated_conjecture,
ilf_type(esk15_0,relation_type(esk13_0,esk14_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gniwpr5y/lgb.p',i_0_44) ).
cnf(i_0_28,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-gniwpr5y/lgb.p',i_0_28) ).
cnf(i_0_26,plain,
( ~ empty(power_set(X1))
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gniwpr5y/lgb.p',i_0_26) ).
cnf(i_0_24,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-gniwpr5y/lgb.p',i_0_24) ).
cnf(i_0_13,plain,
( subset(X1,X2)
| member(esk4_2(X1,X2),X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gniwpr5y/lgb.p',i_0_13) ).
cnf(i_0_12,plain,
( subset(X1,X2)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(esk4_2(X1,X2),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gniwpr5y/lgb.p',i_0_12) ).
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-gniwpr5y/lgb.p',i_0_1) ).
cnf(i_0_43,negated_conjecture,
subset(esk12_0,esk15_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gniwpr5y/lgb.p',i_0_43) ).
cnf(i_0_42,negated_conjecture,
~ subset(esk12_0,cross_product(esk13_0,esk14_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gniwpr5y/lgb.p',i_0_42) ).
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_9 ).
cnf(c_0_58,plain,
ilf_type(X1,set_type),
i_0_41 ).
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_18 ).
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(esk15_0,relation_type(esk13_0,esk14_0)),
i_0_44 ).
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_28 ).
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(esk15_0,subset_type(cross_product(esk13_0,esk14_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_26 ).
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_24 ).
cnf(c_0_67,plain,
( member(X1,X2)
| empty(X2)
| ~ ilf_type(X1,member_type(X2)) ),
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(esk15_0,member_type(power_set(cross_product(esk13_0,esk14_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(esk15_0,power_set(cross_product(esk13_0,esk14_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69]) ).
cnf(c_0_72,plain,
( subset(X1,X2)
| member(esk4_2(X1,X2),X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
i_0_13 ).
cnf(c_0_73,plain,
( subset(X1,X2)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(esk4_2(X1,X2),X2) ),
i_0_12 ).
cnf(c_0_74,plain,
( member(X1,cross_product(esk13_0,esk14_0))
| ~ member(X1,esk15_0) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_75,plain,
( member(esk4_2(X1,X2),X1)
| subset(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_58]),c_0_58])]) ).
cnf(c_0_76,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_77,plain,
( subset(X1,X2)
| ~ member(esk4_2(X1,X2),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_58]),c_0_58])]) ).
cnf(c_0_78,plain,
( member(esk4_2(esk15_0,X1),cross_product(esk13_0,esk14_0))
| subset(esk15_0,X1) ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_79,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_76,c_0_58]),c_0_58]),c_0_58])]) ).
cnf(c_0_80,plain,
subset(esk15_0,cross_product(esk13_0,esk14_0)),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_81,plain,
( subset(X1,cross_product(esk13_0,esk14_0))
| ~ subset(X1,esk15_0) ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_82,negated_conjecture,
subset(esk12_0,esk15_0),
i_0_43 ).
cnf(c_0_83,negated_conjecture,
~ subset(esk12_0,cross_product(esk13_0,esk14_0)),
i_0_42 ).
cnf(c_0_84,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_83]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SET640+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n015.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 00:42:24 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 7.59/2.33 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.59/2.33 # No SInE strategy applied
% 7.59/2.33 # Trying AutoSched0 for 150 seconds
% 7.59/2.33 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
% 7.59/2.33 # and selection function SelectNewComplexAHP.
% 7.59/2.33 #
% 7.59/2.33 # Preprocessing time : 0.012 s
% 7.59/2.33 # Presaturation interreduction done
% 7.59/2.33
% 7.59/2.33 # Proof found!
% 7.59/2.33 # SZS status Theorem
% 7.59/2.33 # SZS output start CNFRefutation
% See solution above
% 7.59/2.33 # Training examples: 0 positive, 0 negative
% 7.59/2.33
% 7.59/2.33 # -------------------------------------------------
% 7.59/2.33 # User time : 0.013 s
% 7.59/2.33 # System time : 0.006 s
% 7.59/2.33 # Total time : 0.019 s
% 7.59/2.33 # Maximum resident set size: 7124 pages
% 7.59/2.33
%------------------------------------------------------------------------------