%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET641+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n014.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 00:13:07 EDT 2022
% Result : Theorem 6.63s 2.34s
% Output : CNFRefutation 6.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of clauses : 33 ( 10 unt; 5 nHn; 30 RR)
% Number of literals : 91 ( 0 equ; 58 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 : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 52 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_14,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ subset(X3,X2)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sfkdjk1x/input.p',i_0_14) ).
cnf(i_0_40,plain,
ilf_type(X1,set_type),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sfkdjk1x/input.p',i_0_40) ).
cnf(i_0_20,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-sfkdjk1x/input.p',i_0_20) ).
cnf(i_0_42,negated_conjecture,
subset(esk12_0,cross_product(esk13_0,esk14_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sfkdjk1x/input.p',i_0_42) ).
cnf(i_0_31,plain,
( ~ empty(X1)
| ~ member(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sfkdjk1x/input.p',i_0_31) ).
cnf(i_0_21,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-sfkdjk1x/input.p',i_0_21) ).
cnf(i_0_26,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-sfkdjk1x/input.p',i_0_26) ).
cnf(i_0_16,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-sfkdjk1x/input.p',i_0_16) ).
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-sfkdjk1x/input.p',i_0_2) ).
cnf(i_0_41,negated_conjecture,
~ ilf_type(esk12_0,relation_type(esk13_0,esk14_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sfkdjk1x/input.p',i_0_41) ).
cnf(c_0_53,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ subset(X3,X2)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type) ),
i_0_14 ).
cnf(c_0_54,plain,
ilf_type(X1,set_type),
i_0_40 ).
cnf(c_0_55,plain,
( member(X1,power_set(X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(esk6_2(X1,X2),X2) ),
i_0_20 ).
cnf(c_0_56,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_53,c_0_54]),c_0_54]),c_0_54])]) ).
cnf(c_0_57,negated_conjecture,
subset(esk12_0,cross_product(esk13_0,esk14_0)),
i_0_42 ).
cnf(c_0_58,plain,
( ~ empty(X1)
| ~ member(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
i_0_31 ).
cnf(c_0_59,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_55,c_0_54]),c_0_54])]) ).
cnf(c_0_60,negated_conjecture,
( member(X1,cross_product(esk13_0,esk14_0))
| ~ member(X1,esk12_0) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_61,plain,
( member(X1,power_set(X2))
| member(esk6_2(X1,X2),X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
i_0_21 ).
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_26 ).
cnf(c_0_63,plain,
( ~ member(X1,X2)
| ~ empty(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_54]),c_0_54])]) ).
cnf(c_0_64,plain,
( member(X1,power_set(cross_product(esk13_0,esk14_0)))
| ~ member(esk6_2(X1,cross_product(esk13_0,esk14_0)),esk12_0) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_65,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_61,c_0_54]),c_0_54])]) ).
cnf(c_0_66,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_16 ).
cnf(c_0_67,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_54]),c_0_54])]),c_0_63]) ).
cnf(c_0_68,plain,
member(esk12_0,power_set(cross_product(esk13_0,esk14_0))),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_69,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_70,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_66,c_0_54]),c_0_54])]) ).
cnf(c_0_71,plain,
ilf_type(esk12_0,member_type(power_set(cross_product(esk13_0,esk14_0)))),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_72,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_69,c_0_54]),c_0_54])]) ).
cnf(c_0_73,plain,
ilf_type(esk12_0,subset_type(cross_product(esk13_0,esk14_0))),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_74,negated_conjecture,
~ ilf_type(esk12_0,relation_type(esk13_0,esk14_0)),
i_0_41 ).
cnf(c_0_75,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET641+3 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n014.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 08:22:21 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 6.63/2.34 # ENIGMATIC: Solved by autoschedule:
% 6.63/2.34 # No SInE strategy applied
% 6.63/2.34 # Trying AutoSched0 for 150 seconds
% 6.63/2.34 # AutoSched0-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y
% 6.63/2.34 # and selection function SelectMaxLComplexAvoidPosPred.
% 6.63/2.34 #
% 6.63/2.34 # Preprocessing time : 0.013 s
% 6.63/2.34
% 6.63/2.34 # Proof found!
% 6.63/2.34 # SZS status Theorem
% 6.63/2.34 # SZS output start CNFRefutation
% See solution above
% 6.63/2.34 # Training examples: 0 positive, 0 negative
% 6.63/2.34
% 6.63/2.34 # -------------------------------------------------
% 6.63/2.34 # User time : 0.021 s
% 6.63/2.34 # System time : 0.003 s
% 6.63/2.34 # Total time : 0.024 s
% 6.63/2.34 # Maximum resident set size: 7120 pages
% 6.63/2.34
%------------------------------------------------------------------------------