TSTP Solution File: GRP001+6 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP001+6 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n013.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 : Sat Jul 16 11:35:08 EDT 2022
% Result : Theorem 0.20s 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 7
% Syntax : Number of clauses : 10 ( 8 unt; 0 nHn; 7 RR)
% Number of literals : 16 ( 0 equ; 8 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 15 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,negated_conjecture,
( ~ product(X,Y,Z)
| ~ product(Y,U,V)
| ~ product(Z,U,W)
| product(X,V,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity) ).
cnf(3,negated_conjecture,
( ~ product(X,Y,Z)
| ~ product(Y,U,V)
| ~ product(X,V,W)
| product(Z,U,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity) ).
cnf(4,negated_conjecture,
product(X,'SKOLEMAAAV1',X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity) ).
cnf(5,negated_conjecture,
product('SKOLEMAAAV1',X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity) ).
cnf(8,negated_conjecture,
product(X,X,'SKOLEMAAAV1'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity) ).
cnf(9,negated_conjecture,
product('SKOLEMAAAV3','SKOLEMAAAV4','SKOLEMAAAV5'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity) ).
cnf(10,negated_conjecture,
~ product('SKOLEMAAAV4','SKOLEMAAAV3','SKOLEMAAAV5'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity) ).
cnf(11,plain,
product('SKOLEMAAAV3','SKOLEMAAAV5','SKOLEMAAAV4'),
inference('HYPERRESOLVE',[status(thm)],[2,8,9,5]) ).
cnf(13,plain,
~ product('SKOLEMAAAV4','SKOLEMAAAV5','SKOLEMAAAV3'),
inference('UR-RESOLVE',[status(thm)],[2,8,5,10]) ).
cnf(140,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[3,11,8,4]),13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP001+6 : TPTP v8.1.0. Released v3.1.0.
% 0.04/0.13 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jun 13 14:40:14 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49 (USE-FACTORING :POS)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49 *
% 0.20/0.49 "."
% 0.20/0.49 *
% 0.20/0.49 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T14:40:14
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-06-13T14:40:14
% 0.20/0.50
% 0.20/0.50 ; Recognized relation function assertion (|product| ?X ?Y (SKOLEMAAAV2 ?X ?Y)).
% 0.20/0.50 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?Z ?U ?W)) (|product| ?X ?V ?W)).
% 0.20/0.50 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?X ?V ?W)) (|product| ?Z ?U ?W)).
% 0.20/0.50 ; Recognized possible right identity assertion (|product| ?X SKOLEMAAAV1 ?X).
% 0.20/0.50 ; Recognized possible left identity assertion (|product| SKOLEMAAAV1 ?X ?X).
% 0.20/0.50 ; Recognized possible right inverse assertion (|product| ?X (|inverse| ?X) SKOLEMAAAV1).
% 0.20/0.55 ; Recognized possible left inverse assertion (|product| (|inverse| ?X) ?X SKOLEMAAAV1).
% 0.20/0.55
% 0.20/0.55 #||
% 0.20/0.55 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.55 % SZS output start Refutation
% See solution above
% 0.20/0.55 ||#
% 0.20/0.55
% 0.20/0.55 ; Summary of computation:
% 0.20/0.55 ; 746 formulas have been input or derived (from 12 formulas).
% 0.20/0.55 ; 140 (19%) were retained. Of these,
% 0.20/0.55 ; 1 ( 1%) were simplified or subsumed later,
% 0.20/0.55 ; 139 (99%) are still being kept.
% 0.20/0.55 ;
% 0.20/0.55 ; Run time in seconds excluding printing time:
% 0.20/0.55 ; 0.002 3% Read assertion file (1 call)
% 0.20/0.55 ; 0.001 2% Assert (1 call)
% 0.20/0.55 ; 0.014 23% Process new row (538 calls)
% 0.20/0.55 ; 0.016 27% Resolution (22 calls)
% 0.20/0.55 ; 0.000 0% Paramodulation (11 calls)
% 0.20/0.55 ; 0.000 0% Condensing (2 calls)
% 0.20/0.55 ; 0.000 0% Forward subsumption (2 calls)
% 0.20/0.55 ; 0.000 0% Backward subsumption (2 calls)
% 0.20/0.55 ; 0.000 0% Clause clause subsumption (2 calls)
% 0.20/0.55 ; 0.001 2% Forward simplification (538 calls)
% 0.20/0.55 ; 0.001 2% Backward simplification (140 calls)
% 0.20/0.55 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.55 ; 0.000 0% Purity testing (1 call)
% 0.20/0.55 ; 0.025 42% Other
% 0.39/0.55 ; 0.060 Total
% 0.39/0.55 ; 0.062 Real time
% 0.39/0.55 ;
% 0.39/0.55 ; Term-hash-array has 213 terms in all.
% 0.39/0.55 ; Feature-vector-row-index has 2 entries (2 at peak, 2 added, 0 deleted).
% 0.39/0.55 ; Feature-vector-row-index has 3 nodes (3 at peak, 3 added, 0 deleted).
% 0.39/0.55 ; Retrieved 1 possibly forward subsuming row in 2 calls.
% 0.39/0.55 ; Retrieved 1 possibly backward subsumed row in 2 calls.
% 0.39/0.55 ; Path-index has 216 entries (216 at peak, 217 added, 1 deleted).
% 0.39/0.55 ; Path-index has 226 nodes (226 at peak, 226 added, 0 deleted).
% 0.39/0.55 ; Trie-index has 216 entries (216 at peak, 217 added, 1 deleted).
% 0.39/0.55 ; Trie-index has 549 nodes (549 at peak, 552 added, 3 deleted).
% 0.39/0.55 ; Retrieved 736 generalization terms in 543 calls.
% 0.39/0.55 ; Retrieved 146 instance terms in 137 calls.
% 0.39/0.55 ; Retrieved 9,987 unifiable terms in 1,032 calls.
% 0.39/0.55 ;
% 0.39/0.55 ; The agenda of rows to process has 82 entries:
% 0.39/0.55 ; 21 with value 7 37 with value 10 12 with value 12
% 0.39/0.55 ; 4 with value 9 4 with value 11 4 with value 13
% 0.39/0.55 ; The agenda of rows to give has 127 entries:
% 0.39/0.55 ; 5 with value (4 6) 16 with value (4 10) 6 with value (4 13)
% 0.39/0.55 ; 10 with value (4 8) 30 with value (4 11) 6 with value (4 14)
% 0.39/0.55 ; 34 with value (4 9) 20 with value (4 12)
% 0.39/0.55 Evaluation took:
% 0.39/0.55 0.063 seconds of real time
% 0.39/0.55 0.050221 seconds of user run time
% 0.39/0.55 0.012906 seconds of system run time
% 0.39/0.55 0 calls to %EVAL
% 0.39/0.55 0 page faults and
% 0.39/0.55 3,321,056 bytes consed.
% 0.39/0.55 :PROOF-FOUND
% 0.39/0.55 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T14:40:14
% 0.39/0.55 :PROOF-FOUND
% 0.39/0.55 *
%------------------------------------------------------------------------------