TSTP Solution File: SET175+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET175+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n028.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 05:08:05 EDT 2022
% Result : Theorem 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 12 ( 6 unt; 3 nHn; 9 RR)
% Number of literals : 22 ( 4 equ; 8 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 17 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ member(X,union(Y,Z))
| member(X,Y)
| member(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn) ).
cnf(2,axiom,
( member(X,union(Y,Z))
| ~ member(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn) ).
cnf(3,axiom,
( ~ member(X,intersection(Y,Z))
| member(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_defn) ).
cnf(12,axiom,
( X = Y
| ~ member('SKOLEMAAAV2'(X,Y),X)
| ~ member('SKOLEMAAAV2'(X,Y),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_member_defn) ).
cnf(13,axiom,
( X = Y
| member('SKOLEMAAAV2'(X,Y),X)
| member('SKOLEMAAAV2'(X,Y),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_member_defn) ).
cnf(14,negated_conjecture,
union('SKOLEMAAAV3',intersection('SKOLEMAAAV3','SKOLEMAAAV4')) != 'SKOLEMAAAV3',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_absorbtion_for_union) ).
cnf(17,plain,
( X = Y
| member('SKOLEMAAAV2'(X,Y),Y)
| member('SKOLEMAAAV2'(X,Y),union(X,Z)) ),
inference('HYPERRESOLVE',[status(thm)],[2,13]) ).
cnf(46,plain,
member('SKOLEMAAAV2'('SKOLEMAAAV3',union('SKOLEMAAAV3',intersection('SKOLEMAAAV3','SKOLEMAAAV4'))),union('SKOLEMAAAV3',intersection('SKOLEMAAAV3','SKOLEMAAAV4'))),
inference('UR-RESOLVE',[status(thm)],[17,14]) ).
cnf(56,plain,
~ member('SKOLEMAAAV2'('SKOLEMAAAV3',union('SKOLEMAAAV3',intersection('SKOLEMAAAV3','SKOLEMAAAV4'))),'SKOLEMAAAV3'),
inference('UR-RESOLVE',[status(thm)],[12,46,14]) ).
cnf(58,plain,
member('SKOLEMAAAV2'('SKOLEMAAAV3',union('SKOLEMAAAV3',intersection('SKOLEMAAAV3','SKOLEMAAAV4'))),intersection('SKOLEMAAAV3','SKOLEMAAAV4')),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[1,46]),56]) ).
cnf(61,plain,
~ member('SKOLEMAAAV2'('SKOLEMAAAV3',union('SKOLEMAAAV3',intersection('SKOLEMAAAV3','SKOLEMAAAV4'))),intersection('SKOLEMAAAV3',X)),
inference('UR-RESOLVE',[status(thm)],[3,56]) ).
cnf(62,plain,
$false,
inference('REWRITE',[status(thm)],[58,61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET175+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n028.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jul 10 11:08:57 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T11:08:57
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-07-10T11:08:57
% 0.19/0.48
% 0.19/0.48 ; Recognized commutativity assertion (= (|union| ?X ?Y) (|union| ?Y ?X)).
% 0.19/0.48 ; Recognized commutativity assertion (= (|intersection| ?X ?Y) (|intersection| ?Y ?X)).
% 0.19/0.48 ; Declaring union to be commutative.
% 0.19/0.53 ; Declaring intersection to be commutative.
% 0.19/0.53
% 0.19/0.53 #||
% 0.19/0.53 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.53 % SZS output start Refutation
% See solution above
% 0.19/0.53 ||#
% 0.19/0.53
% 0.19/0.53 ; Summary of computation:
% 0.19/0.53 ; 240 formulas have been input or derived (from 23 formulas).
% 0.19/0.53 ; 62 (26%) were retained. Of these,
% 0.19/0.53 ; 18 (29%) were simplified or subsumed later,
% 0.19/0.53 ; 44 (71%) are still being kept.
% 0.19/0.53 ;
% 0.19/0.53 ; Run time in seconds excluding printing time:
% 0.19/0.53 ; 0.002 3% Read assertion file (1 call)
% 0.19/0.53 ; 0.001 2% Assert (9 calls)
% 0.19/0.53 ; 0.008 13% Process new row (189 calls)
% 0.19/0.53 ; 0.007 11% Resolution (44 calls)
% 0.19/0.53 ; 0.000 0% Paramodulation (22 calls)
% 0.19/0.53 ; 0.000 0% Factoring (7 calls)
% 0.19/0.53 ; 0.003 5% Condensing (133 calls)
% 0.19/0.53 ; 0.009 15% Forward subsumption (133 calls)
% 0.19/0.53 ; 0.000 0% Backward subsumption (52 calls)
% 0.19/0.53 ; 0.004 6% Clause clause subsumption (282 calls)
% 0.19/0.53 ; 0.003 5% Forward simplification (178 calls)
% 0.19/0.53 ; 0.001 2% Backward simplification (62 calls)
% 0.19/0.53 ; 0.003 5% Ordering (440 calls)
% 0.19/0.53 ; 0.001 2% Sortal reasoning (32 calls)
% 0.19/0.53 ; 0.000 0% Purity testing (1 call)
% 0.19/0.53 ; 0.020 32% Other
% 0.19/0.53 ; 0.062 Total
% 0.19/0.53 ; 0.064 Real time
% 0.19/0.53 ;
% 0.19/0.53 ; Term-hash-array has 118 terms in all.
% 0.19/0.53 ; Feature-vector-row-index has 35 entries (42 at peak, 52 added, 17 deleted).
% 0.19/0.53 ; Feature-vector-row-index has 96 nodes (97 at peak, 136 added, 40 deleted).
% 0.19/0.53 ; Retrieved 367 possibly forward subsuming rows in 133 calls.
% 0.19/0.53 ; Retrieved 29 possibly backward subsumed rows in 52 calls.
% 0.19/0.53 ; Path-index has 96 entries (97 at peak, 120 added, 24 deleted).
% 0.19/0.54 ; Path-index has 138 nodes (139 at peak, 143 added, 5 deleted).
% 0.19/0.54 ; Trie-index has 96 entries (97 at peak, 120 added, 24 deleted).
% 0.19/0.54 ; Trie-index has 220 nodes (221 at peak, 269 added, 49 deleted).
% 0.19/0.54 ; Retrieved 97 generalization terms in 289 calls.
% 0.19/0.54 ; Retrieved 17 instance terms in 9 calls.
% 0.19/0.54 ; Retrieved 1,655 unifiable terms in 233 calls.
% 0.19/0.54 ;
% 0.19/0.54 ; The agenda of rows to process has 6 entries:
% 0.19/0.54 ; 5 with value 19 1 with value 21
% 0.19/0.54 ; The agenda of rows to give has 24 entries:
% 0.19/0.54 ; 1 with value (4 14) 2 with value (4 25) 1 with value (4 32)
% 0.19/0.54 ; 1 with value (4 19) 2 with value (4 26) 1 with value (4 33)
% 0.19/0.54 ; 1 with value (4 20) 2 with value (4 27) 2 with value (4 38)
% 0.19/0.54 ; 1 with value (4 21) 2 with value (4 28) 1 with value (4 39)
% 0.19/0.54 ; 2 with value (4 22) 2 with value (4 29) 1 with value (4 41)
% 0.19/0.54 ; 1 with value (4 24) 1 with value (4 31)
% 0.19/0.54 Evaluation took:
% 0.19/0.54 0.064 seconds of real time
% 0.19/0.54 0.057179 seconds of user run time
% 0.19/0.54 0.007741 seconds of system run time
% 0.19/0.54 0 calls to %EVAL
% 0.19/0.54 0 page faults and
% 0.19/0.54 4,212,640 bytes consed.
% 0.19/0.54 :PROOF-FOUND
% 0.19/0.54 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T11:08:57
% 0.19/0.54 :PROOF-FOUND
% 0.19/0.54 *
%------------------------------------------------------------------------------