TSTP Solution File: SET655+3 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET655+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n026.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 00:13:13 EDT 2022
% Result : Theorem 9.52s 2.56s
% Output : CNFRefutation 9.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 21
% Syntax : Number of clauses : 74 ( 21 unt; 13 nHn; 68 RR)
% Number of literals : 214 ( 0 equ; 135 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 123 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_3,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/sandbox/tmp/enigma-theBenchmark.p-sem1whv_/lgb.p',i_0_3) ).
cnf(i_0_36,plain,
ilf_type(X1,set_type),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sem1whv_/lgb.p',i_0_36) ).
cnf(i_0_12,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/sandbox/tmp/enigma-theBenchmark.p-sem1whv_/lgb.p',i_0_12) ).
cnf(i_0_40,negated_conjecture,
ilf_type(esk14_0,relation_type(esk10_0,esk12_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sem1whv_/lgb.p',i_0_40) ).
cnf(i_0_22,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/sandbox/tmp/enigma-theBenchmark.p-sem1whv_/lgb.p',i_0_22) ).
cnf(i_0_20,plain,
( ~ empty(power_set(X1))
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sem1whv_/lgb.p',i_0_20) ).
cnf(i_0_2,plain,
( subset(cross_product(X1,X2),cross_product(X3,X4))
| ~ subset(X2,X4)
| ~ subset(X1,X3)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sem1whv_/lgb.p',i_0_2) ).
cnf(i_0_18,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/sandbox/tmp/enigma-theBenchmark.p-sem1whv_/lgb.p',i_0_18) ).
cnf(i_0_38,negated_conjecture,
subset(esk12_0,esk13_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sem1whv_/lgb.p',i_0_38) ).
cnf(i_0_7,plain,
( subset(X1,X2)
| member(esk2_2(X1,X2),X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sem1whv_/lgb.p',i_0_7) ).
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/sandbox/tmp/enigma-theBenchmark.p-sem1whv_/lgb.p',i_0_1) ).
cnf(i_0_39,negated_conjecture,
subset(esk10_0,esk11_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sem1whv_/lgb.p',i_0_39) ).
cnf(i_0_6,plain,
( subset(X1,X2)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(esk2_2(X1,X2),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sem1whv_/lgb.p',i_0_6) ).
cnf(i_0_9,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-sem1whv_/lgb.p',i_0_9) ).
cnf(i_0_16,plain,
( member(X1,power_set(X2))
| member(esk4_2(X1,X2),X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sem1whv_/lgb.p',i_0_16) ).
cnf(i_0_26,plain,
( ~ empty(X1)
| ~ member(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sem1whv_/lgb.p',i_0_26) ).
cnf(i_0_15,plain,
( member(X1,power_set(X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(esk4_2(X1,X2),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sem1whv_/lgb.p',i_0_15) ).
cnf(i_0_21,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-sem1whv_/lgb.p',i_0_21) ).
cnf(i_0_11,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-sem1whv_/lgb.p',i_0_11) ).
cnf(i_0_4,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-sem1whv_/lgb.p',i_0_4) ).
cnf(i_0_37,negated_conjecture,
~ ilf_type(esk14_0,relation_type(esk11_0,esk13_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sem1whv_/lgb.p',i_0_37) ).
cnf(c_0_62,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_3 ).
cnf(c_0_63,plain,
ilf_type(X1,set_type),
i_0_36 ).
cnf(c_0_64,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_12 ).
cnf(c_0_65,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_62,c_0_63]),c_0_63])]) ).
cnf(c_0_66,negated_conjecture,
ilf_type(esk14_0,relation_type(esk10_0,esk12_0)),
i_0_40 ).
cnf(c_0_67,plain,
( empty(X1)
| member(X2,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X2,member_type(X1)) ),
i_0_22 ).
cnf(c_0_68,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_64,c_0_63]),c_0_63])]) ).
cnf(c_0_69,negated_conjecture,
ilf_type(esk14_0,subset_type(cross_product(esk10_0,esk12_0))),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_70,plain,
( ~ empty(power_set(X1))
| ~ ilf_type(X1,set_type) ),
i_0_20 ).
cnf(c_0_71,plain,
( subset(cross_product(X1,X2),cross_product(X3,X4))
| ~ subset(X2,X4)
| ~ subset(X1,X3)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X1,set_type) ),
i_0_2 ).
cnf(c_0_72,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_18 ).
cnf(c_0_73,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_67,c_0_63]),c_0_63])]) ).
cnf(c_0_74,plain,
ilf_type(esk14_0,member_type(power_set(cross_product(esk10_0,esk12_0)))),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_75,plain,
~ empty(power_set(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_63])]) ).
cnf(c_0_76,plain,
( subset(cross_product(X1,X2),cross_product(X3,X4))
| ~ subset(X2,X4)
| ~ subset(X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_63]),c_0_63]),c_0_63]),c_0_63])]) ).
cnf(c_0_77,negated_conjecture,
subset(esk12_0,esk13_0),
i_0_38 ).
cnf(c_0_78,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_72,c_0_63]),c_0_63]),c_0_63])]) ).
cnf(c_0_79,plain,
member(esk14_0,power_set(cross_product(esk10_0,esk12_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75]) ).
cnf(c_0_80,plain,
( subset(X1,X2)
| member(esk2_2(X1,X2),X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
i_0_7 ).
cnf(c_0_81,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_82,negated_conjecture,
( subset(cross_product(X1,esk12_0),cross_product(X2,esk13_0))
| ~ subset(X1,X2) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_83,negated_conjecture,
subset(esk10_0,esk11_0),
i_0_39 ).
cnf(c_0_84,plain,
( subset(X1,X2)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(esk2_2(X1,X2),X2) ),
i_0_6 ).
cnf(c_0_85,plain,
( member(X1,cross_product(esk10_0,esk12_0))
| ~ member(X1,esk14_0) ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_86,plain,
( member(esk2_2(X1,X2),X1)
| subset(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_63]),c_0_63])]) ).
cnf(c_0_87,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_81,c_0_63]),c_0_63]),c_0_63])]) ).
cnf(c_0_88,negated_conjecture,
subset(cross_product(esk10_0,esk12_0),cross_product(esk11_0,esk13_0)),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_89,plain,
( subset(X1,X2)
| ~ member(esk2_2(X1,X2),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_63]),c_0_63])]) ).
cnf(c_0_90,plain,
( member(esk2_2(esk14_0,X1),cross_product(esk10_0,esk12_0))
| subset(esk14_0,X1) ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_91,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_9 ).
cnf(c_0_92,plain,
( subset(X1,cross_product(esk11_0,esk13_0))
| ~ subset(X1,cross_product(esk10_0,esk12_0)) ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_93,plain,
subset(esk14_0,cross_product(esk10_0,esk12_0)),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_94,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_91,c_0_63]),c_0_63]),c_0_63])]) ).
cnf(c_0_95,plain,
subset(esk14_0,cross_product(esk11_0,esk13_0)),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_96,plain,
( member(X1,power_set(X2))
| member(esk4_2(X1,X2),X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
i_0_16 ).
cnf(c_0_97,plain,
( ~ empty(X1)
| ~ member(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
i_0_26 ).
cnf(c_0_98,plain,
( member(X1,power_set(X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(esk4_2(X1,X2),X2) ),
i_0_15 ).
cnf(c_0_99,plain,
( member(X1,cross_product(esk11_0,esk13_0))
| ~ member(X1,esk14_0) ),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_100,plain,
( member(esk4_2(X1,X2),X1)
| member(X1,power_set(X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_96,c_0_63]),c_0_63])]) ).
cnf(c_0_101,plain,
( empty(X1)
| ilf_type(X2,member_type(X1))
| ~ member(X2,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type) ),
i_0_21 ).
cnf(c_0_102,plain,
( ~ empty(X1)
| ~ member(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_63]),c_0_63])]) ).
cnf(c_0_103,plain,
( member(X1,power_set(X2))
| ~ member(esk4_2(X1,X2),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_63]),c_0_63])]) ).
cnf(c_0_104,plain,
( member(esk4_2(esk14_0,X1),cross_product(esk11_0,esk13_0))
| member(esk14_0,power_set(X1)) ),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_105,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_11 ).
cnf(c_0_106,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_101,c_0_63]),c_0_63])]),c_0_102]) ).
cnf(c_0_107,plain,
member(esk14_0,power_set(cross_product(esk11_0,esk13_0))),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_108,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_4 ).
cnf(c_0_109,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_105,c_0_63]),c_0_63])]) ).
cnf(c_0_110,plain,
ilf_type(esk14_0,member_type(power_set(cross_product(esk11_0,esk13_0)))),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_111,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_108,c_0_63]),c_0_63])]) ).
cnf(c_0_112,plain,
ilf_type(esk14_0,subset_type(cross_product(esk11_0,esk13_0))),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_113,negated_conjecture,
~ ilf_type(esk14_0,relation_type(esk11_0,esk13_0)),
i_0_37 ).
cnf(c_0_114,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_113]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET655+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jul 10 06:48:13 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 9.52/2.56 # ENIGMATIC: Solved by autoschedule-lgb:
% 9.52/2.56 # No SInE strategy applied
% 9.52/2.56 # Trying AutoSched0 for 150 seconds
% 9.52/2.56 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
% 9.52/2.56 # and selection function SelectNewComplexAHP.
% 9.52/2.56 #
% 9.52/2.56 # Preprocessing time : 0.024 s
% 9.52/2.56 # Presaturation interreduction done
% 9.52/2.56
% 9.52/2.56 # Proof found!
% 9.52/2.56 # SZS status Theorem
% 9.52/2.56 # SZS output start CNFRefutation
% See solution above
% 9.52/2.56 # Training examples: 0 positive, 0 negative
% 9.52/2.56
% 9.52/2.56 # -------------------------------------------------
% 9.52/2.56 # User time : 0.203 s
% 9.52/2.56 # System time : 0.015 s
% 9.52/2.56 # Total time : 0.218 s
% 9.52/2.56 # Maximum resident set size: 7128 pages
% 9.52/2.56
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