TSTP Solution File: SET200+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET200+3 : TPTP v8.1.0. Released v2.2.0.
% 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 05:08:18 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of clauses : 16 ( 10 unt; 3 nHn; 14 RR)
% Number of literals : 24 ( 0 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 13 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ member(X,union(Y,Z))
| member(X,Y)
| member(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_defn) ).
cnf(2,axiom,
( member(X,union(Y,Z))
| ~ member(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_defn) ).
cnf(3,axiom,
( ~ subset(X,Y)
| ~ member(Z,X)
| member(Z,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_defn) ).
cnf(4,axiom,
( subset(X,Y)
| member('SKOLEMAAAV1'(X,Y),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_defn) ).
cnf(5,axiom,
( subset(X,Y)
| ~ member('SKOLEMAAAV1'(X,Y),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_defn) ).
cnf(10,negated_conjecture,
subset('SKOLEMAAAV3','SKOLEMAAAV4'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th34) ).
cnf(11,negated_conjecture,
subset('SKOLEMAAAV5','SKOLEMAAAV6'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th34) ).
cnf(12,negated_conjecture,
~ subset(union('SKOLEMAAAV3','SKOLEMAAAV5'),union('SKOLEMAAAV4','SKOLEMAAAV6')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th34) ).
cnf(13,plain,
member('SKOLEMAAAV1'(union('SKOLEMAAAV3','SKOLEMAAAV5'),union('SKOLEMAAAV4','SKOLEMAAAV6')),union('SKOLEMAAAV3','SKOLEMAAAV5')),
inference('HYPERRESOLVE',[status(thm)],[12,4]) ).
cnf(14,plain,
~ member('SKOLEMAAAV1'(union('SKOLEMAAAV3','SKOLEMAAAV5'),union('SKOLEMAAAV4','SKOLEMAAAV6')),union('SKOLEMAAAV4','SKOLEMAAAV6')),
inference('UR-RESOLVE',[status(thm)],[5,12]) ).
cnf(26,plain,
( member('SKOLEMAAAV1'(union('SKOLEMAAAV3','SKOLEMAAAV5'),union('SKOLEMAAAV4','SKOLEMAAAV6')),'SKOLEMAAAV3')
| member('SKOLEMAAAV1'(union('SKOLEMAAAV3','SKOLEMAAAV5'),union('SKOLEMAAAV4','SKOLEMAAAV6')),'SKOLEMAAAV5') ),
inference('HYPERRESOLVE',[status(thm)],[1,13]) ).
cnf(29,plain,
~ member('SKOLEMAAAV1'(union('SKOLEMAAAV3','SKOLEMAAAV5'),union('SKOLEMAAAV4','SKOLEMAAAV6')),'SKOLEMAAAV4'),
inference('UR-RESOLVE',[status(thm)],[2,14]) ).
cnf(30,plain,
~ member('SKOLEMAAAV1'(union('SKOLEMAAAV3','SKOLEMAAAV5'),union('SKOLEMAAAV4','SKOLEMAAAV6')),'SKOLEMAAAV6'),
inference('UR-RESOLVE',[status(thm)],[2,14]) ).
cnf(34,plain,
~ member('SKOLEMAAAV1'(union('SKOLEMAAAV3','SKOLEMAAAV5'),union('SKOLEMAAAV4','SKOLEMAAAV6')),'SKOLEMAAAV3'),
inference('UR-RESOLVE',[status(thm)],[3,29,10]) ).
cnf(35,plain,
member('SKOLEMAAAV1'(union('SKOLEMAAAV3','SKOLEMAAAV5'),union('SKOLEMAAAV4','SKOLEMAAAV6')),'SKOLEMAAAV5'),
inference('REWRITE',[status(thm)],[26,34]) ).
cnf(42,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[3,30,11]),35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET200+3 : TPTP v8.1.0. Released v2.2.0.
% 0.10/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n019.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 23:04:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-07-10T23:04:23
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-07-10T23:04:23
% 0.19/0.48
% 0.19/0.48 ; Recognized commutativity assertion (= (|union| ?X ?Y) (|union| ?Y ?X)).
% 0.19/0.50 ; Declaring union to be commutative.
% 0.19/0.50
% 0.19/0.50 #||
% 0.19/0.50 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.50 % SZS output start Refutation
% See solution above
% 0.19/0.50 ||#
% 0.19/0.50
% 0.19/0.50 ; Summary of computation:
% 0.19/0.50 ; 82 formulas have been input or derived (from 20 formulas).
% 0.19/0.50 ; 42 (51%) were retained. Of these,
% 0.19/0.50 ; 1 ( 2%) were simplified or subsumed later,
% 0.19/0.50 ; 41 (98%) are still being kept.
% 0.19/0.50 ;
% 0.19/0.50 ; Run time in seconds excluding printing time:
% 0.19/0.50 ; 0.001 3% Read assertion file (1 call)
% 0.19/0.50 ; 0.001 3% Assert (6 calls)
% 0.19/0.50 ; 0.007 19% Process new row (62 calls)
% 0.19/0.51 ; 0.001 3% Resolution (38 calls)
% 0.19/0.51 ; 0.000 0% Paramodulation (19 calls)
% 0.19/0.51 ; 0.000 0% Factoring (2 calls)
% 0.19/0.51 ; 0.000 0% Condensing (28 calls)
% 0.19/0.51 ; 0.002 6% Forward subsumption (28 calls)
% 0.19/0.51 ; 0.000 0% Backward subsumption (20 calls)
% 0.19/0.51 ; 0.001 3% Clause clause subsumption (32 calls)
% 0.19/0.51 ; 0.000 0% Forward simplification (62 calls)
% 0.19/0.51 ; 0.000 0% Backward simplification (42 calls)
% 0.19/0.51 ; 0.001 3% Ordering (95 calls)
% 0.19/0.51 ; 0.001 3% Sortal reasoning (32 calls)
% 0.19/0.51 ; 0.000 0% Purity testing (1 call)
% 0.19/0.51 ; 0.021 58% Other
% 0.19/0.51 ; 0.036 Total
% 0.19/0.51 ; 0.038 Real time
% 0.19/0.51 ;
% 0.19/0.51 ; Term-hash-array has 79 terms in all.
% 0.19/0.51 ; Feature-vector-row-index has 19 entries (20 at peak, 20 added, 1 deleted).
% 0.19/0.51 ; Feature-vector-row-index has 61 nodes (80 at peak, 80 added, 19 deleted).
% 0.19/0.51 ; Retrieved 27 possibly forward subsuming rows in 28 calls.
% 0.19/0.51 ; Retrieved 5 possibly backward subsumed rows in 20 calls.
% 0.19/0.51 ; Path-index has 83 entries (83 at peak, 84 added, 1 deleted).
% 0.19/0.51 ; Path-index has 113 nodes (113 at peak, 114 added, 1 deleted).
% 0.19/0.51 ; Trie-index has 83 entries (83 at peak, 84 added, 1 deleted).
% 0.19/0.51 ; Trie-index has 166 nodes (166 at peak, 167 added, 1 deleted).
% 0.19/0.51 ; Retrieved 12 generalization terms in 66 calls.
% 0.19/0.51 ; Retrieved 23 instance terms in 21 calls.
% 0.19/0.51 ; Retrieved 863 unifiable terms in 202 calls.
% 0.19/0.51 ;
% 0.19/0.51 ; The agenda of rows to process has 6 entries:
% 0.19/0.51 ; 1 with value 15 4 with value 17 1 with value 19
% 0.19/0.51 ; The agenda of rows to give has 21 entries:
% 0.19/0.51 ; 2 with value (4 10) 1 with value (4 17) 2 with value (4 21)
% 0.19/0.51 ; 2 with value (4 14) 1 with value (4 18) 3 with value (4 26)
% 0.19/0.51 ; 1 with value (4 15) 5 with value (4 19) 2 with value (4 38)
% 0.19/0.51 ; 1 with value (4 16) 1 with value (4 20)
% 0.19/0.51 Evaluation took:
% 0.19/0.51 0.039 seconds of real time
% 0.19/0.51 0.037338 seconds of user run time
% 0.19/0.51 0.001707 seconds of system run time
% 0.19/0.51 0 calls to %EVAL
% 0.19/0.51 0 page faults and
% 0.19/0.51 3,054,344 bytes consed.
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T23:04:23
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 *
%------------------------------------------------------------------------------