TSTP Solution File: SET183+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET183+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 05:08:09 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of clauses : 13 ( 8 unt; 1 nHn; 11 RR)
% Number of literals : 21 ( 2 equ; 10 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 14 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( member(X,intersection(Y,Z))
| ~ member(X,Y)
| ~ member(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_defn) ).
cnf(3,axiom,
subset(intersection(X,Y),X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_is_subset) ).
cnf(4,axiom,
( ~ subset(X,Y)
| ~ member(Z,X)
| member(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_defn) ).
cnf(5,axiom,
( subset(X,Y)
| member('SKOLEMAAAV1'(X,Y),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_defn) ).
cnf(6,axiom,
( subset(X,Y)
| ~ member('SKOLEMAAAV1'(X,Y),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_defn) ).
cnf(8,axiom,
( X = Y
| ~ subset(X,Y)
| ~ subset(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_defn) ).
cnf(13,negated_conjecture,
subset('SKOLEMAAAV3','SKOLEMAAAV4'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_subset_intersection) ).
cnf(14,negated_conjecture,
intersection('SKOLEMAAAV3','SKOLEMAAAV4') != 'SKOLEMAAAV3',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_subset_intersection) ).
cnf(15,plain,
~ subset('SKOLEMAAAV3',intersection('SKOLEMAAAV3','SKOLEMAAAV4')),
inference('UR-RESOLVE',[status(thm)],[8,14,3]) ).
cnf(27,plain,
member('SKOLEMAAAV1'('SKOLEMAAAV3',intersection('SKOLEMAAAV3','SKOLEMAAAV4')),'SKOLEMAAAV3'),
inference('HYPERRESOLVE',[status(thm)],[15,5]) ).
cnf(28,plain,
~ member('SKOLEMAAAV1'('SKOLEMAAAV3',intersection('SKOLEMAAAV3','SKOLEMAAAV4')),intersection('SKOLEMAAAV3','SKOLEMAAAV4')),
inference('UR-RESOLVE',[status(thm)],[6,15]) ).
cnf(31,plain,
member('SKOLEMAAAV1'('SKOLEMAAAV3',intersection('SKOLEMAAAV3','SKOLEMAAAV4')),'SKOLEMAAAV4'),
inference('HYPERRESOLVE',[status(thm)],[4,27,13]) ).
cnf(34,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[2,31,27]),28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET183+3 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n018.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 22:00:28 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 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/sandbox2/benchmark/theBenchmark.p 2022-07-10T22:00:28
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-07-10T22:00:28
% 0.20/0.48
% 0.20/0.49 ; Recognized commutativity assertion (= (|intersection| ?X ?Y) (|intersection| ?Y ?X)).
% 0.20/0.51 ; Declaring intersection to be commutative.
% 0.20/0.51
% 0.20/0.51 #||
% 0.20/0.51 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.51 % SZS output start Refutation
% See solution above
% 0.20/0.51 ||#
% 0.20/0.51
% 0.20/0.51 ; Summary of computation:
% 0.20/0.51 ; 93 formulas have been input or derived (from 19 formulas).
% 0.20/0.51 ; 34 (37%) were retained. Of these,
% 0.20/0.51 ; 34 (100%) are still being kept.
% 0.20/0.51 ;
% 0.20/0.51 ; Run time in seconds excluding printing time:
% 0.20/0.51 ; 0.002 5% Read assertion file (1 call)
% 0.20/0.51 ; 0.001 3% Assert (8 calls)
% 0.20/0.51 ; 0.005 14% Process new row (65 calls)
% 0.20/0.51 ; 0.002 5% Resolution (36 calls)
% 0.20/0.51 ; 0.000 0% Paramodulation (18 calls)
% 0.20/0.51 ; 0.000 0% Factoring (3 calls)
% 0.20/0.51 ; 0.001 3% Condensing (39 calls)
% 0.20/0.51 ; 0.000 0% Forward subsumption (39 calls)
% 0.20/0.51 ; 0.000 0% Backward subsumption (24 calls)
% 0.20/0.51 ; 0.001 3% Clause clause subsumption (41 calls)
% 0.20/0.51 ; 0.003 8% Forward simplification (65 calls)
% 0.20/0.51 ; 0.000 0% Backward simplification (34 calls)
% 0.20/0.51 ; 0.000 0% Ordering (109 calls)
% 0.20/0.51 ; 0.001 3% Sortal reasoning (32 calls)
% 0.20/0.51 ; 0.000 0% Purity testing (1 call)
% 0.20/0.51 ; 0.021 57% Other
% 0.20/0.51 ; 0.037 Total
% 0.20/0.51 ; 0.039 Real time
% 0.20/0.51 ;
% 0.20/0.51 ; Term-hash-array has 68 terms in all.
% 0.20/0.51 ; Feature-vector-row-index has 24 entries (24 at peak, 24 added, 0 deleted).
% 0.20/0.51 ; Feature-vector-row-index has 86 nodes (86 at peak, 86 added, 0 deleted).
% 0.20/0.51 ; Retrieved 44 possibly forward subsuming rows in 39 calls.
% 0.20/0.51 ; Retrieved 4 possibly backward subsumed rows in 24 calls.
% 0.20/0.51 ; Path-index has 70 entries (70 at peak, 70 added, 0 deleted).
% 0.20/0.51 ; Path-index has 84 nodes (84 at peak, 84 added, 0 deleted).
% 0.20/0.51 ; Trie-index has 70 entries (70 at peak, 70 added, 0 deleted).
% 0.20/0.51 ; Trie-index has 125 nodes (125 at peak, 125 added, 0 deleted).
% 0.20/0.51 ; Retrieved 10 generalization terms in 52 calls.
% 0.20/0.51 ; Retrieved 13 instance terms in 9 calls.
% 0.20/0.51 ; Retrieved 647 unifiable terms in 161 calls.
% 0.20/0.51 ;
% 0.20/0.51 ; The agenda of rows to process has 8 entries:
% 0.20/0.51 ; 7 with value 16 1 with value 21
% 0.20/0.51 ; The agenda of rows to give has 15 entries:
% 0.20/0.51 ; 1 with value (4 14) 3 with value (4 19) 2 with value (4 26)
% 0.20/0.51 ; 2 with value (4 15) 2 with value (4 20) 2 with value (4 28)
% 0.20/0.51 ; 1 with value (4 18) 2 with value (4 21)
% 0.20/0.51 Evaluation took:
% 0.20/0.51 0.04 seconds of real time
% 0.20/0.51 0.036143 seconds of user run time
% 0.20/0.51 0.003023 seconds of system run time
% 0.20/0.51 0 calls to %EVAL
% 0.20/0.51 0 page faults and
% 0.20/0.51 2,595,456 bytes consed.
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.51 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T22:00:28
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.51 *
%------------------------------------------------------------------------------