TSTP Solution File: SET682+3 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET682+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n004.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 00:13:25 EDT 2022
% Result : Theorem 6.13s 2.53s
% Output : CNFRefutation 6.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 18
% Syntax : Number of clauses : 65 ( 18 unt; 10 nHn; 62 RR)
% Number of literals : 171 ( 8 equ; 104 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 6 con; 0-3 aty)
% Number of variables : 99 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_40,plain,
( ilf_type(range(X1,X2,X3),subset_type(X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ya83a1l/lgb.p',i_0_40) ).
cnf(i_0_41,plain,
ilf_type(X1,set_type),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ya83a1l/lgb.p',i_0_41) ).
cnf(i_0_20,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-6ya83a1l/lgb.p',i_0_20) ).
cnf(i_0_45,negated_conjecture,
ilf_type(esk13_0,relation_type(esk11_0,esk12_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ya83a1l/lgb.p',i_0_45) ).
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/sandbox2/tmp/enigma-theBenchmark.p-6ya83a1l/lgb.p',i_0_3) ).
cnf(i_0_7,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-6ya83a1l/lgb.p',i_0_7) ).
cnf(i_0_27,plain,
( ~ empty(power_set(X1))
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ya83a1l/lgb.p',i_0_27) ).
cnf(i_0_35,plain,
( relation_like(X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X1,subset_type(cross_product(X3,X2))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ya83a1l/lgb.p',i_0_35) ).
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-6ya83a1l/lgb.p',i_0_25) ).
cnf(i_0_15,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1)
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ya83a1l/lgb.p',i_0_15) ).
cnf(i_0_39,plain,
( range(X1,X2,X3) = range_of(X3)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ya83a1l/lgb.p',i_0_39) ).
cnf(i_0_37,plain,
( domain(X1,X2,X3) = domain_of(X3)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ya83a1l/lgb.p',i_0_37) ).
cnf(i_0_11,plain,
( ~ empty(X1)
| ~ member(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ya83a1l/lgb.p',i_0_11) ).
cnf(i_0_9,plain,
( empty(X1)
| member(esk4_1(X1),X1)
| ~ ilf_type(X1,set_type) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ya83a1l/lgb.p',i_0_9) ).
cnf(i_0_1,plain,
( member(esk1_2(X1,X2),range_of(X2))
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ member(X1,domain_of(X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ya83a1l/lgb.p',i_0_1) ).
cnf(i_0_6,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/sandbox2/tmp/enigma-theBenchmark.p-6ya83a1l/lgb.p',i_0_6) ).
cnf(i_0_43,negated_conjecture,
member(esk14_0,domain(esk11_0,esk12_0,esk13_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ya83a1l/lgb.p',i_0_43) ).
cnf(i_0_42,negated_conjecture,
( ~ ilf_type(X1,member_type(esk12_0))
| ~ member(X1,range(esk11_0,esk12_0,esk13_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ya83a1l/lgb.p',i_0_42) ).
cnf(c_0_64,plain,
( ilf_type(range(X1,X2,X3),subset_type(X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
i_0_40 ).
cnf(c_0_65,plain,
ilf_type(X1,set_type),
i_0_41 ).
cnf(c_0_66,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_20 ).
cnf(c_0_67,plain,
( ilf_type(range(X1,X2,X3),subset_type(X2))
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_65]),c_0_65])]) ).
cnf(c_0_68,negated_conjecture,
ilf_type(esk13_0,relation_type(esk11_0,esk12_0)),
i_0_45 ).
cnf(c_0_69,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_70,plain,
( empty(X1)
| member(X2,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X2,member_type(X1)) ),
i_0_7 ).
cnf(c_0_71,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_66,c_0_65]),c_0_65])]) ).
cnf(c_0_72,negated_conjecture,
ilf_type(range(esk11_0,esk12_0,esk13_0),subset_type(esk12_0)),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_73,plain,
( ~ empty(power_set(X1))
| ~ ilf_type(X1,set_type) ),
i_0_27 ).
cnf(c_0_74,plain,
( relation_like(X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X1,subset_type(cross_product(X3,X2))) ),
i_0_35 ).
cnf(c_0_75,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_69,c_0_65]),c_0_65])]) ).
cnf(c_0_76,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_77,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_70,c_0_65]),c_0_65])]) ).
cnf(c_0_78,plain,
ilf_type(range(esk11_0,esk12_0,esk13_0),member_type(power_set(esk12_0))),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_79,plain,
~ empty(power_set(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_65])]) ).
cnf(c_0_80,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1)
| ~ ilf_type(X1,set_type) ),
i_0_15 ).
cnf(c_0_81,plain,
( relation_like(X1)
| ~ ilf_type(X1,subset_type(cross_product(X2,X3))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_65]),c_0_65])]) ).
cnf(c_0_82,negated_conjecture,
ilf_type(esk13_0,subset_type(cross_product(esk11_0,esk12_0))),
inference(spm,[status(thm)],[c_0_75,c_0_68]) ).
cnf(c_0_83,plain,
( range(X1,X2,X3) = range_of(X3)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
i_0_39 ).
cnf(c_0_84,plain,
( domain(X1,X2,X3) = domain_of(X3)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
i_0_37 ).
cnf(c_0_85,plain,
( ~ empty(X1)
| ~ member(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
i_0_11 ).
cnf(c_0_86,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_76,c_0_65]),c_0_65]),c_0_65])]) ).
cnf(c_0_87,plain,
member(range(esk11_0,esk12_0,esk13_0),power_set(esk12_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_79]) ).
cnf(c_0_88,plain,
( empty(X1)
| member(esk4_1(X1),X1)
| ~ ilf_type(X1,set_type) ),
i_0_9 ).
cnf(c_0_89,plain,
( member(esk1_2(X1,X2),range_of(X2))
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ member(X1,domain_of(X2)) ),
i_0_1 ).
cnf(c_0_90,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_65])]) ).
cnf(c_0_91,plain,
relation_like(esk13_0),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_92,plain,
( range(X1,X2,X3) = range_of(X3)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_65]),c_0_65])]) ).
cnf(c_0_93,plain,
( domain(X1,X2,X3) = domain_of(X3)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_65]),c_0_65])]) ).
cnf(c_0_94,plain,
( empty(X1)
| ilf_type(X2,member_type(X1))
| ~ member(X2,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type) ),
i_0_6 ).
cnf(c_0_95,plain,
( ~ empty(X1)
| ~ member(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_65]),c_0_65])]) ).
cnf(c_0_96,plain,
( member(X1,esk12_0)
| ~ member(X1,range(esk11_0,esk12_0,esk13_0)) ),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_97,plain,
( empty(X1)
| member(esk4_1(X1),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_65])]) ).
cnf(c_0_98,plain,
( member(esk1_2(X1,X2),range_of(X2))
| ~ member(X1,domain_of(X2))
| ~ ilf_type(X2,binary_relation_type) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_65])]) ).
cnf(c_0_99,plain,
ilf_type(esk13_0,binary_relation_type),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_100,negated_conjecture,
range_of(esk13_0) = range(esk11_0,esk12_0,esk13_0),
inference(spm,[status(thm)],[c_0_92,c_0_68]) ).
cnf(c_0_101,negated_conjecture,
domain_of(esk13_0) = domain(esk11_0,esk12_0,esk13_0),
inference(spm,[status(thm)],[c_0_93,c_0_68]) ).
cnf(c_0_102,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_94,c_0_65]),c_0_65])]),c_0_95]) ).
cnf(c_0_103,plain,
( empty(range(esk11_0,esk12_0,esk13_0))
| member(esk4_1(range(esk11_0,esk12_0,esk13_0)),esk12_0) ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_104,plain,
( member(esk1_2(X1,esk13_0),range(esk11_0,esk12_0,esk13_0))
| ~ member(X1,domain(esk11_0,esk12_0,esk13_0)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_100]),c_0_101]) ).
cnf(c_0_105,negated_conjecture,
member(esk14_0,domain(esk11_0,esk12_0,esk13_0)),
i_0_43 ).
cnf(c_0_106,negated_conjecture,
( ~ ilf_type(X1,member_type(esk12_0))
| ~ member(X1,range(esk11_0,esk12_0,esk13_0)) ),
i_0_42 ).
cnf(c_0_107,plain,
( empty(range(esk11_0,esk12_0,esk13_0))
| ilf_type(esk4_1(range(esk11_0,esk12_0,esk13_0)),member_type(esk12_0)) ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_108,negated_conjecture,
member(esk1_2(esk14_0,esk13_0),range(esk11_0,esk12_0,esk13_0)),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_109,negated_conjecture,
empty(range(esk11_0,esk12_0,esk13_0)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_97]) ).
cnf(c_0_110,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_108]),c_0_109])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SET682+3 : TPTP v8.1.0. Released v2.2.0.
% 0.04/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.35 % Computer : n004.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jul 11 08:54:39 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.46 # ENIGMATIC: Selected complete mode:
% 6.13/2.53 # ENIGMATIC: Solved by autoschedule-lgb:
% 6.13/2.53 # No SInE strategy applied
% 6.13/2.53 # Trying AutoSched0 for 150 seconds
% 6.13/2.53 # AutoSched0-Mode selected heuristic G_E___008_C18_F1_PI_SE_CS_SP_CO_S4S
% 6.13/2.53 # and selection function SelectNewComplexAHPNS.
% 6.13/2.53 #
% 6.13/2.53 # Preprocessing time : 0.012 s
% 6.13/2.53
% 6.13/2.53 # Proof found!
% 6.13/2.53 # SZS status Theorem
% 6.13/2.53 # SZS output start CNFRefutation
% See solution above
% 6.13/2.53 # Training examples: 0 positive, 0 negative
% 6.13/2.53
% 6.13/2.53 # -------------------------------------------------
% 6.13/2.53 # User time : 0.016 s
% 6.13/2.53 # System time : 0.003 s
% 6.13/2.53 # Total time : 0.019 s
% 6.13/2.53 # Maximum resident set size: 7124 pages
% 6.13/2.53
%------------------------------------------------------------------------------