TSTP Solution File: SET668+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET668+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% 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 05:11:24 EDT 2022
% Result : Theorem 0.39s 0.60s
% Output : Refutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 16
% Syntax : Number of clauses : 42 ( 16 unt; 4 nHn; 40 RR)
% Number of literals : 103 ( 12 equ; 65 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 : 14 ( 14 usr; 4 con; 0-3 aty)
% Number of variables : 63 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ subset(X,Y)
| ~ subset(Y,X)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
cnf(2,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ ilf_type(Z,set_type)
| ~ ilf_type(U,relation_type(X,Y))
| ~ subset(identity_relation_of(Z),U)
| subset(Z,domain(X,Y,U)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2) ).
cnf(3,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ ilf_type(Z,set_type)
| ~ ilf_type(U,relation_type(X,Y))
| ~ subset(identity_relation_of(Z),U)
| subset(Z,range(X,Y,U)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2) ).
cnf(13,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| subset(X,Y)
| member('SKOLEMAAAV2'(X,Y),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7) ).
cnf(14,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| subset(X,Y)
| ~ member('SKOLEMAAAV2'(X,Y),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7) ).
cnf(28,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ ilf_type(Y,subset_type(X))
| ilf_type(Y,member_type(power_set(X))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16) ).
cnf(33,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ member(X,power_set(Y))
| ~ ilf_type(Z,set_type)
| ~ member(Z,X)
| member(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20) ).
cnf(37,axiom,
( ~ ilf_type(X,set_type)
| ~ empty(power_set(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21) ).
cnf(39,axiom,
( ~ ilf_type(X,set_type)
| empty(Y)
| ~ ilf_type(Y,set_type)
| ~ ilf_type(X,member_type(Y))
| member(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22) ).
cnf(53,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ ilf_type(Z,relation_type(X,Y))
| domain(X,Y,Z) = domain_of(Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p28) ).
cnf(54,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ ilf_type(Z,relation_type(X,Y))
| ilf_type(domain(X,Y,Z),subset_type(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p29) ).
cnf(55,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ ilf_type(Z,relation_type(X,Y))
| range(X,Y,Z) = range_of(Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p30) ).
cnf(57,axiom,
ilf_type(X,set_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p32) ).
cnf(58,negated_conjecture,
ilf_type('SKOLEMAAAV15',relation_type('SKOLEMAAAV14','SKOLEMAAAV13')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_31) ).
cnf(59,negated_conjecture,
subset(identity_relation_of('SKOLEMAAAV14'),'SKOLEMAAAV15'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_31) ).
cnf(60,negated_conjecture,
( 'SKOLEMAAAV14' != domain('SKOLEMAAAV14','SKOLEMAAAV13','SKOLEMAAAV15')
| ~ subset('SKOLEMAAAV14',range('SKOLEMAAAV14','SKOLEMAAAV13','SKOLEMAAAV15')) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_31) ).
cnf(62,plain,
( ~ subset(X,Y)
| ~ subset(Y,X)
| X = Y ),
inference('REWRITE',[status(thm)],[1,57]) ).
cnf(63,plain,
( ~ ilf_type(X,relation_type(Y,Z))
| ~ subset(identity_relation_of(U),X)
| subset(U,domain(Y,Z,X)) ),
inference('REWRITE',[status(thm)],[2,57]) ).
cnf(64,plain,
( ~ ilf_type(X,relation_type(Y,Z))
| ~ subset(identity_relation_of(U),X)
| subset(U,range(Y,Z,X)) ),
inference('REWRITE',[status(thm)],[3,57]) ).
cnf(73,plain,
( subset(X,Y)
| member('SKOLEMAAAV2'(X,Y),X) ),
inference('REWRITE',[status(thm)],[13,57]) ).
cnf(74,plain,
( subset(X,Y)
| ~ member('SKOLEMAAAV2'(X,Y),Y) ),
inference('REWRITE',[status(thm)],[14,57]) ).
cnf(78,plain,
( ~ ilf_type(X,subset_type(Y))
| ilf_type(X,member_type(power_set(Y))) ),
inference('REWRITE',[status(thm)],[28,57]) ).
cnf(82,plain,
( ~ member(X,power_set(Y))
| ~ member(Z,X)
| member(Z,Y) ),
inference('REWRITE',[status(thm)],[33,57]) ).
cnf(85,plain,
~ empty(power_set(X)),
inference('REWRITE',[status(thm)],[37,57]) ).
cnf(86,plain,
( empty(X)
| ~ ilf_type(Y,member_type(X))
| member(Y,X) ),
inference('REWRITE',[status(thm)],[39,57]) ).
cnf(96,plain,
( ~ ilf_type(X,relation_type(Y,Z))
| domain(Y,Z,X) = domain_of(X) ),
inference('REWRITE',[status(thm)],[53,57]) ).
cnf(97,plain,
( ~ ilf_type(X,relation_type(Y,Z))
| ilf_type(domain(Y,Z,X),subset_type(Y)) ),
inference('REWRITE',[status(thm)],[54,57]) ).
cnf(98,plain,
( ~ ilf_type(X,relation_type(Y,Z))
| range(Y,Z,X) = range_of(X) ),
inference('REWRITE',[status(thm)],[55,57]) ).
cnf(134,plain,
domain('SKOLEMAAAV14','SKOLEMAAAV13','SKOLEMAAAV15') = domain_of('SKOLEMAAAV15'),
inference('HYPERRESOLVE',[status(thm)],[96,58]) ).
cnf(135,plain,
( 'SKOLEMAAAV14' != domain_of('SKOLEMAAAV15')
| ~ subset('SKOLEMAAAV14',range('SKOLEMAAAV14','SKOLEMAAAV13','SKOLEMAAAV15')) ),
inference('REWRITE',[status(thm)],[60,134,theory(equality)]) ).
cnf(137,plain,
ilf_type(domain_of('SKOLEMAAAV15'),subset_type('SKOLEMAAAV14')),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[97,58]),134,theory(equality)]) ).
cnf(139,plain,
range('SKOLEMAAAV14','SKOLEMAAAV13','SKOLEMAAAV15') = range_of('SKOLEMAAAV15'),
inference('HYPERRESOLVE',[status(thm)],[98,58]) ).
cnf(140,plain,
( 'SKOLEMAAAV14' != domain_of('SKOLEMAAAV15')
| ~ subset('SKOLEMAAAV14',range_of('SKOLEMAAAV15')) ),
inference('REWRITE',[status(thm)],[135,139,theory(equality)]) ).
cnf(144,plain,
subset('SKOLEMAAAV14',domain_of('SKOLEMAAAV15')),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[63,58,59]),134,theory(equality)]) ).
cnf(147,plain,
subset('SKOLEMAAAV14',range_of('SKOLEMAAAV15')),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[64,58,59]),139,theory(equality)]) ).
cnf(148,plain,
'SKOLEMAAAV14' != domain_of('SKOLEMAAAV15'),
inference('REWRITE',[status(thm)],[140,147]) ).
cnf(163,plain,
~ subset(domain_of('SKOLEMAAAV15'),'SKOLEMAAAV14'),
inference('UR-RESOLVE',[status(thm)],[62,144,148]) ).
cnf(167,plain,
member('SKOLEMAAAV2'(domain_of('SKOLEMAAAV15'),'SKOLEMAAAV14'),domain_of('SKOLEMAAAV15')),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[62,144,73]),148]) ).
cnf(172,plain,
ilf_type(domain_of('SKOLEMAAAV15'),member_type(power_set('SKOLEMAAAV14'))),
inference('HYPERRESOLVE',[status(thm)],[78,137]) ).
cnf(174,plain,
~ member('SKOLEMAAAV2'(domain_of('SKOLEMAAAV15'),'SKOLEMAAAV14'),'SKOLEMAAAV14'),
inference('UR-RESOLVE',[status(thm)],[74,163]) ).
cnf(240,plain,
member(domain_of('SKOLEMAAAV15'),power_set('SKOLEMAAAV14')),
inference('UR-RESOLVE',[status(thm)],[86,172,85]) ).
cnf(312,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[82,167,240]),174]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET668+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n015.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 10:57:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T10:57:08
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-07-10T10:57:08
% 0.39/0.60
% 0.39/0.60
% 0.39/0.60 #||
% 0.39/0.60 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/0.60 % SZS output start Refutation
% See solution above
% 0.39/0.60 ||#
% 0.39/0.60
% 0.39/0.60 ; Summary of computation:
% 0.39/0.60 ; 554 formulas have been input or derived (from 93 formulas).
% 0.39/0.60 ; 312 (56%) were retained. Of these,
% 0.39/0.60 ; 63 (20%) were simplified or subsumed later,
% 0.39/0.60 ; 249 (80%) are still being kept.
% 0.39/0.60 ;
% 0.39/0.60 ; Run time in seconds excluding printing time:
% 0.39/0.60 ; 0.010 8% Read assertion file (1 call)
% 0.39/0.60 ; 0.003 3% Assert (33 calls)
% 0.39/0.60 ; 0.031 26% Process new row (454 calls)
% 0.39/0.60 ; 0.014 12% Resolution (184 calls)
% 0.39/0.60 ; 0.001 1% Paramodulation (92 calls)
% 0.39/0.60 ; 0.000 0% Factoring (9 calls)
% 0.39/0.60 ; 0.010 8% Condensing (234 calls)
% 0.39/0.60 ; 0.009 8% Forward subsumption (234 calls)
% 0.39/0.60 ; 0.004 3% Backward subsumption (208 calls)
% 0.39/0.60 ; 0.000 0% Clause clause subsumption (109 calls)
% 0.39/0.60 ; 0.004 3% Forward simplification (454 calls)
% 0.39/0.60 ; 0.005 4% Backward simplification (312 calls)
% 0.39/0.60 ; 0.001 1% Ordering (200 calls)
% 0.39/0.60 ; 0.001 1% Sortal reasoning (32 calls)
% 0.39/0.60 ; 0.000 0% Purity testing (1 call)
% 0.39/0.60 ; 0.025 21% Other
% 0.39/0.60 ; 0.118 Total
% 0.39/0.60 ; 0.122 Real time
% 0.39/0.60 ;
% 0.39/0.60 ; Term-hash-array has 681 terms in all.
% 0.39/0.60 ; Feature-vector-row-index has 147 entries (149 at peak, 208 added, 61 deleted).
% 0.39/0.60 ; Feature-vector-row-index has 951 nodes (971 at peak, 1,254 added, 303 deleted).
% 0.39/0.60 ; Retrieved 127 possibly forward subsuming rows in 234 calls.
% 0.39/0.60 ; Retrieved 21 possibly backward subsumed rows in 208 calls.
% 0.39/0.60 ; Path-index has 637 entries (637 at peak, 746 added, 109 deleted).
% 0.39/0.60 ; Path-index has 1,970 nodes (1,970 at peak, 2,103 added, 133 deleted).
% 0.39/0.60 ; Trie-index has 637 entries (637 at peak, 746 added, 109 deleted).
% 0.39/0.60 ; Trie-index has 2,466 nodes (2,466 at peak, 2,732 added, 266 deleted).
% 0.39/0.60 ; Retrieved 324 generalization terms in 762 calls.
% 0.39/0.60 ; Retrieved 145 instance terms in 103 calls.
% 0.39/0.60 ; Retrieved 4,508 unifiable terms in 1,092 calls.
% 0.39/0.60 ;
% 0.39/0.60 ; The agenda of rows to process has 6 entries:
% 0.39/0.60 ; 3 with value 13 1 with value 20 1 with value 22
% 0.39/0.60 ; 1 with value 19
% 0.39/0.60 ; The agenda of rows to give has 159 entries:
% 0.39/0.60 ; 1 with value (4 8) 3 with value (4 21) 2 with value (4 33)
% 0.39/0.60 ; 10 with value (4 12) 6 with value (4 22) 4 with value (4 35)
% 0.39/0.60 ; 7 with value (4 13) 4 with value (4 23) 3 with value (4 36)
% 0.39/0.60 ; 8 with value (4 14) 1 with value (4 24) 1 with value (4 37)
% 0.39/0.60 ; 15 with value (4 15) 4 with value (4 25) 1 with value (4 38)
% 0.39/0.60 ; 19 with value (4 16) 4 with value (4 26) 1 with value (4 40)
% 0.39/0.60 ; 14 with value (4 17) 4 with value (4 27) 1 with value (4 41)
% 0.39/0.60 ; 8 with value (4 18) 3 with value (4 28) 1 with value (4 42)
% 0.39/0.60 ; 12 with value (4 19) 6 with value (4 30) 1 with value (4 44)
% 0.39/0.60 ; 11 with value (4 20) 4 with value (4 32)
% 0.39/0.60 Evaluation took:
% 0.39/0.60 0.122 seconds of real time
% 0.39/0.60 0.102073 seconds of user run time
% 0.39/0.60 0.020299 seconds of system run time
% 0.39/0.60 0 calls to %EVAL
% 0.39/0.60 0 page faults and
% 0.39/0.60 9,370,048 bytes consed.
% 0.39/0.60 :PROOF-FOUND
% 0.39/0.60 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T10:57:08
% 0.39/0.60 :PROOF-FOUND
% 0.39/0.60 *
%------------------------------------------------------------------------------