TSTP Solution File: SET663+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET663+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 05:11:22 EDT 2022
% Result : Theorem 0.38s 0.55s
% Output : Refutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of clauses : 22 ( 11 unt; 0 nHn; 21 RR)
% Number of literals : 42 ( 6 equ; 24 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 26 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ ilf_type(X,set_type)
| ~ subset(X,empty_set)
| X = empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
cnf(2,axiom,
( ~ ilf_type(X,binary_relation_type)
| domain_of(X) != empty_set
| X = empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2) ).
cnf(4,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ ilf_type(Z,relation_type(X,Y))
| subset(domain_of(Z),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3) ).
cnf(9,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ ilf_type(Z,relation_type(X,Y))
| ilf_type(Z,subset_type(cross_product(X,Y))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6) ).
cnf(21,axiom,
( ~ ilf_type(X,set_type)
| ilf_type(X,binary_relation_type)
| ~ relation_like(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p13) ).
cnf(50,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ ilf_type(Z,subset_type(cross_product(X,Y)))
| relation_like(Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p28) ).
cnf(55,axiom,
ilf_type(X,set_type),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p33) ).
cnf(56,negated_conjecture,
ilf_type('SKOLEMAAAU15',relation_type('SKOLEMAAAU13','SKOLEMAAAU14')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_26) ).
cnf(57,negated_conjecture,
ilf_type('SKOLEMAAAU15',relation_type(empty_set,'SKOLEMAAAU14')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_26) ).
cnf(58,negated_conjecture,
'SKOLEMAAAU15' != empty_set,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_26) ).
cnf(60,plain,
( ~ subset(X,empty_set)
| X = empty_set ),
inference('REWRITE',[status(thm)],[1,55]) ).
cnf(61,plain,
( ~ ilf_type(X,relation_type(Y,Z))
| subset(domain_of(X),Y) ),
inference('REWRITE',[status(thm)],[4,55]) ).
cnf(65,plain,
( ~ ilf_type(X,relation_type(Y,Z))
| ilf_type(X,subset_type(cross_product(Y,Z))) ),
inference('REWRITE',[status(thm)],[9,55]) ).
cnf(68,plain,
( ilf_type(X,binary_relation_type)
| ~ relation_like(X) ),
inference('REWRITE',[status(thm)],[21,55]) ).
cnf(89,plain,
( ~ ilf_type(X,subset_type(cross_product(Y,Z)))
| relation_like(X) ),
inference('REWRITE',[status(thm)],[50,55]) ).
cnf(105,plain,
subset(domain_of('SKOLEMAAAU15'),empty_set),
inference('HYPERRESOLVE',[status(thm)],[61,57]) ).
cnf(129,plain,
ilf_type('SKOLEMAAAU15',subset_type(cross_product('SKOLEMAAAU13','SKOLEMAAAU14'))),
inference('HYPERRESOLVE',[status(thm)],[65,56]) ).
cnf(152,plain,
domain_of('SKOLEMAAAU15') = empty_set,
inference('HYPERRESOLVE',[status(thm)],[60,105]) ).
cnf(167,plain,
~ ilf_type('SKOLEMAAAU15',binary_relation_type),
inference('UR-RESOLVE',[status(thm)],[2,152,58]) ).
cnf(168,plain,
~ relation_like('SKOLEMAAAU15'),
inference('UR-RESOLVE',[status(thm)],[68,167]) ).
cnf(172,plain,
~ ilf_type('SKOLEMAAAU15',subset_type(cross_product(X,Y))),
inference('UR-RESOLVE',[status(thm)],[89,168]) ).
cnf(173,plain,
$false,
inference('REWRITE',[status(thm)],[129,172]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET663+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n020.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 : Mon Jul 11 09:48:13 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.47 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T09:48:13
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-07-11T09:48:13
% 0.20/0.49 WARNING:
% 0.20/0.49 |type| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.38/0.55
% 0.38/0.55
% 0.38/0.55 #||
% 0.38/0.55 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/0.55 % SZS output start Refutation
% See solution above
% 0.38/0.55 ||#
% 0.38/0.55
% 0.38/0.55 ; Summary of computation:
% 0.38/0.55 ; 297 formulas have been input or derived (from 62 formulas).
% 0.38/0.55 ; 173 (58%) were retained. Of these,
% 0.38/0.55 ; 60 (35%) were simplified or subsumed later,
% 0.38/0.55 ; 113 (65%) are still being kept.
% 0.38/0.55 ;
% 0.38/0.55 ; Run time in seconds excluding printing time:
% 0.38/0.55 ; 0.010 14% Read assertion file (1 call)
% 0.38/0.55 ; 0.003 4% Assert (35 calls)
% 0.38/0.55 ; 0.016 22% Process new row (264 calls)
% 0.38/0.55 ; 0.005 7% Resolution (122 calls)
% 0.38/0.55 ; 0.000 0% Paramodulation (61 calls)
% 0.38/0.55 ; 0.000 0% Factoring (5 calls)
% 0.38/0.55 ; 0.000 0% Condensing (118 calls)
% 0.38/0.55 ; 0.002 3% Forward subsumption (118 calls)
% 0.38/0.55 ; 0.001 1% Backward subsumption (111 calls)
% 0.38/0.55 ; 0.000 0% Clause clause subsumption (38 calls)
% 0.38/0.55 ; 0.008 11% Forward simplification (259 calls)
% 0.38/0.55 ; 0.003 4% Backward simplification (173 calls)
% 0.38/0.55 ; 0.001 1% Ordering (92 calls)
% 0.38/0.55 ; 0.000 0% Sortal reasoning (32 calls)
% 0.38/0.55 ; 0.000 0% Purity testing (1 call)
% 0.38/0.55 ; 0.025 34% Other
% 0.38/0.55 ; 0.074 Total
% 0.38/0.55 ; 0.077 Real time
% 0.38/0.55 ;
% 0.38/0.55 ; Term-hash-array has 283 terms in all.
% 0.38/0.55 ; Feature-vector-row-index has 60 entries (60 at peak, 111 added, 51 deleted).
% 0.38/0.55 ; Feature-vector-row-index has 287 nodes (287 at peak, 520 added, 233 deleted).
% 0.38/0.55 ; Retrieved 33 possibly forward subsuming rows in 118 calls.
% 0.38/0.55 ; Retrieved 8 possibly backward subsumed rows in 111 calls.
% 0.38/0.55 ; Path-index has 231 entries (237 at peak, 339 added, 108 deleted).
% 0.38/0.55 ; Path-index has 631 nodes (640 at peak, 764 added, 133 deleted).
% 0.38/0.55 ; Trie-index has 231 entries (237 at peak, 339 added, 108 deleted).
% 0.38/0.55 ; Trie-index has 632 nodes (644 at peak, 891 added, 259 deleted).
% 0.38/0.55 ; Retrieved 149 generalization terms in 439 calls.
% 0.38/0.55 ; Retrieved 91 instance terms in 61 calls.
% 0.38/0.55 ; Retrieved 1,927 unifiable terms in 523 calls.
% 0.38/0.55 ;
% 0.38/0.55 ; The agenda of rows to give has 53 entries:
% 0.38/0.55 ; 2 with value (4 8) 2 with value (4 14) 2 with value (4 21)
% 0.38/0.55 ; 5 with value (4 9) 4 with value (4 15) 2 with value (4 23)
% 0.38/0.55 ; 10 with value (4 10) 2 with value (4 16) 1 with value (4 25)
% 0.38/0.55 ; 6 with value (4 11) 2 with value (4 17) 1 with value (4 26)
% 0.38/0.55 ; 3 with value (4 12) 4 with value (4 18) 2 with value (4 27)
% 0.38/0.55 ; 1 with value (4 13) 3 with value (4 19) 1 with value (4 30)
% 0.38/0.55 Evaluation took:
% 0.38/0.55 0.077 seconds of real time
% 0.38/0.55 0.063203 seconds of user run time
% 0.38/0.55 0.013985 seconds of system run time
% 0.38/0.55 0 calls to %EVAL
% 0.38/0.55 0 page faults and
% 0.38/0.55 4,843,968 bytes consed.
% 0.38/0.55 :PROOF-FOUND
% 0.38/0.55 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T09:48:13
% 0.38/0.55 :PROOF-FOUND
% 0.38/0.55 *
%------------------------------------------------------------------------------