TSTP Solution File: SET082+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET082+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n019.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 05:07:03 EDT 2022
% Result : Theorem 4.41s 4.62s
% Output : Refutation 4.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of clauses : 14 ( 9 unt; 3 nHn; 10 RR)
% Number of literals : 21 ( 8 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 13 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ subclass(X,Y)
| ~ member(Z,X)
| member(Z,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',subclass_defn) ).
cnf(4,axiom,
subclass(X,universal_class),
file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',class_elements_are_sets) ).
cnf(8,axiom,
( ~ member(X,unordered_pair(Y,Z))
| X = Y
| X = Z ),
file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',unordered_pair_defn) ).
cnf(12,axiom,
singleton(X) = unordered_pair(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',singleton_set_defn) ).
cnf(86,axiom,
( X = null_class
| member('SKOLEMAAAV6'(X),universal_class) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',regularity) ).
cnf(87,axiom,
( X = null_class
| member('SKOLEMAAAV6'(X),X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',regularity) ).
cnf(92,negated_conjecture,
~ member('SKOLEMAAAV8',universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_is_null_class) ).
cnf(93,negated_conjecture,
singleton('SKOLEMAAAV8') != null_class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_is_null_class) ).
cnf(110,plain,
member('SKOLEMAAAV6'(singleton('SKOLEMAAAV8')),universal_class),
inference('UR-RESOLVE',[status(thm)],[86,93]) ).
cnf(114,plain,
member('SKOLEMAAAV6'(singleton('SKOLEMAAAV8')),singleton('SKOLEMAAAV8')),
inference('UR-RESOLVE',[status(thm)],[87,93]) ).
cnf(169,plain,
~ member('SKOLEMAAAV8',X),
inference('UR-RESOLVE',[status(thm)],[1,4,92]) ).
cnf(260,plain,
( ~ member(X,singleton(Y))
| X = Y ),
inference('PARAMODULATE',[status(thm)],[8,12,theory(equality)]) ).
cnf(22980,plain,
'SKOLEMAAAV6'(singleton('SKOLEMAAAV8')) = 'SKOLEMAAAV8',
inference('HYPERRESOLVE',[status(thm)],[260,114]) ).
cnf(22981,plain,
$false,
inference('REWRITE',[status(thm)],[110,169,22980,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET082+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n019.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sat Jul 9 22:17:38 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-07-09T22:17:38
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-07-09T22:17:38
% 4.41/4.62
% 4.41/4.62
% 4.41/4.62 #||
% 4.41/4.62 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.41/4.62 % SZS output start Refutation
% See solution above
% 4.41/4.62 ||#
% 4.41/4.62
% 4.41/4.62 ; Summary of computation:
% 4.41/4.62 ; 46302 formulas have been input or derived (from 511 formulas).
% 4.41/4.62 ; 22981 (50%) were retained. Of these,
% 4.41/4.62 ; 1053 ( 5%) were simplified or subsumed later,
% 4.41/4.62 ; 21928 (95%) are still being kept.
% 4.41/4.62 ;
% 4.41/4.62 ; Run time in seconds excluding printing time:
% 4.41/4.62 ; 0.011 0% Read assertion file (1 call)
% 4.41/4.62 ; 0.003 0% Assert (44 calls)
% 4.41/4.62 ; 1.383 33% Process new row (44,746 calls)
% 4.41/4.62 ; 1.338 32% Resolution (1,020 calls)
% 4.41/4.62 ; 0.012 0% Paramodulation (510 calls)
% 4.41/4.62 ; 0.000 0% Factoring (8 calls)
% 4.41/4.62 ; 0.017 0% Condensing (2,704 calls)
% 4.41/4.62 ; 0.164 4% Forward subsumption (2,704 calls)
% 4.41/4.62 ; 0.216 5% Backward subsumption (2,621 calls)
% 4.41/4.62 ; 0.015 0% Clause clause subsumption (6,829 calls)
% 4.41/4.62 ; 0.504 12% Forward simplification (44,407 calls)
% 4.41/4.62 ; 0.282 7% Backward simplification (22,978 calls)
% 4.41/4.62 ; 0.018 0% Ordering (8,071 calls)
% 4.41/4.62 ; 0.000 0% Sortal reasoning (32 calls)
% 4.41/4.62 ; 0.000 0% Purity testing (1 call)
% 4.41/4.62 ; 0.174 4% Other
% 4.41/4.62 ; 4.137 Total
% 4.41/4.62 ; 4.142 Real time
% 4.41/4.62 ;
% 4.41/4.62 ; Term-hash-array has 33,166 terms in all.
% 4.41/4.62 ; Feature-vector-row-index has 2,526 entries (2,576 at peak, 2,621 added, 95 deleted).
% 4.41/4.62 ; Feature-vector-row-index has 9,084 nodes (9,331 at peak, 9,568 added, 484 deleted).
% 4.41/4.62 ; Retrieved 6,087 possibly forward subsuming rows in 2,704 calls.
% 4.41/4.62 ; Retrieved 3,455 possibly backward subsumed rows in 2,621 calls.
% 4.41/4.62 ; Path-index has 31,646 entries (32,670 at peak, 33,241 added, 1,595 deleted).
% 4.41/4.62 ; Path-index has 9,793 nodes (9,858 at peak, 10,044 added, 251 deleted).
% 4.41/4.62 ; Trie-index has 31,646 entries (32,670 at peak, 33,241 added, 1,595 deleted).
% 4.41/4.62 ; Trie-index has 83,294 nodes (86,197 at peak, 88,046 added, 4,752 deleted).
% 4.41/4.62 ; Retrieved 29,926 generalization terms in 115,039 calls.
% 4.41/4.62 ; Retrieved 20,434 instance terms in 20,356 calls.
% 4.41/4.62 ; Retrieved 3,610,645 unifiable terms in 17,938 calls.
% 4.41/4.62 ;
% 4.41/4.62 ; The agenda of backward simplifiable rows to process has 671 entries:
% 4.41/4.62 ; 671 with value 0
% 4.41/4.62 ; The agenda of rows to process has 83 entries:
% 4.41/4.62 ; 11 with value 10 34 with value 12 1 with value 16
% 4.41/4.62 ; 6 with value 11 29 with value 13 2 with value 17
% 4.41/4.62 ; The agenda of rows to give has 21436 entries:
% 4.41/4.62 ; 1 with value (4 10) 197 with value (4 23) 3 with value (4 38)
% 4.41/4.62 ; 365 with value (4 11) 187 with value (4 24) 6 with value (4 39)
% 4.41/4.62 ; 482 with value (4 12) 69 with value (4 25) 2 with value (4 40)
% 4.41/4.62 ; 873 with value (4 13) 37 with value (4 26) 9 with value (4 41)
% 4.41/4.62 ; 976 with value (4 14) 30 with value (4 27) 13 with value (4 42)
% 4.41/4.62 ; 1110 with value (4 15) 16 with value (4 28) 14 with value (4 43)
% 4.41/4.62 ; 1721 with value (4 16) 17 with value (4 29) 24 with value (4 44)
% 4.41/4.62 ; 2629 with value (4 17) 5 with value (4 30) 16 with value (4 45)
% 4.41/4.62 ; 5082 with value (4 18) 3 with value (4 31) 3 with value (4 46)
% 4.41/4.62 ; 4047 with value (4 19) 6 with value (4 32) 4 with value (4 47)
% 4.41/4.62 ; 1865 with value (4 20) 2 with value (4 33) 1 with value (4 49)
% 4.41/4.62 ; 1069 with value (4 21) 1 with value (4 34) 2 with value (4 50)
% 4.41/4.62 ; 547 with value (4 22) 2 with value (4 35)
% 4.41/4.62 Evaluation took:
% 4.41/4.62 4.144 seconds of real time
% 4.41/4.62 3.82614 seconds of user run time
% 4.41/4.62 0.314061 seconds of system run time
% 4.41/4.62 [Run times include 0.664 seconds GC run time.]
% 4.41/4.62 0 calls to %EVAL
% 4.41/4.62 0 page faults and
% 4.41/4.62 273,549,696 bytes consed.
% 4.41/4.62 :PROOF-FOUND
% 4.41/4.62 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-09T22:17:42
% 4.41/4.62 :PROOF-FOUND
% 4.41/4.62 *
%------------------------------------------------------------------------------