TSTP Solution File: GRP031-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP031-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n022.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 11:35:22 EDT 2022
% Result : Unsatisfiable 0.38s 0.54s
% Output : Refutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 7 ( 5 unt; 0 nHn; 5 RR)
% Number of literals : 13 ( 0 equ; 8 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 16 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(associativity1,axiom,
( ~ product(X,Y,Z)
| ~ product(Y,U,V)
| ~ product(Z,U,W)
| product(X,V,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity1) ).
cnf(associativity2,axiom,
( ~ product(X,Y,Z)
| ~ product(Y,U,V)
| ~ product(X,V,W)
| product(Z,U,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity2) ).
cnf(right_inverse,hypothesis,
product(X,inverse(X),identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_inverse) ).
cnf(right_identity,hypothesis,
product(X,identity,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_identity) ).
cnf(prove_a_has_a_left_inverse,negated_conjecture,
~ product(X,a,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_has_a_left_inverse) ).
cnf(9,plain,
~ product(identity,inverse(X),a),
inference('UR-RESOLVE',[status(thm)],[associativity1,right_identity,right_inverse,prove_a_has_a_left_inverse]) ).
cnf(57,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[associativity2,9,right_inverse,right_inverse,right_identity]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP031-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.14 % Command : run-snark %s %d
% 0.14/0.36 % Computer : n022.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Tue Jun 14 12:21:18 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.22/0.49 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.50 *
% 0.22/0.50 *
% 0.22/0.50 #<PACKAGE "SNARK-USER">
% 0.22/0.50 *
% 0.22/0.50 SNARK-TPTP-OPTIONS
% 0.22/0.50 *
% 0.22/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.50 (USE-FACTORING :POS)
% 0.22/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.50 *
% 0.22/0.50 "."
% 0.22/0.50 *
% 0.22/0.51 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T12:21:18
% 0.22/0.51 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-14T12:21:18
% 0.35/0.52
% 0.35/0.52 ; Recognized relation function assertion (|product| ?X ?Y (|multiply| ?X ?Y)).
% 0.35/0.52 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?Z ?U ?W)) (|product| ?X ?V ?W)).
% 0.35/0.52 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?X ?V ?W)) (|product| ?Z ?U ?W)).
% 0.35/0.52 ; Recognized possible right inverse assertion (|product| ?X (|inverse| ?X) |identity|).
% 0.35/0.52 WARNING:
% 0.35/0.52 |equalish| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.38/0.54 ; Recognized possible right identity assertion (|product| ?X |identity| ?X).
% 0.38/0.54
% 0.38/0.54 #||
% 0.38/0.54 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/0.54 % SZS output start Refutation
% See solution above
% 0.38/0.54 ||#
% 0.38/0.54
% 0.38/0.54 ; Summary of computation:
% 0.38/0.54 ; 142 formulas have been input or derived (from 11 formulas).
% 0.38/0.54 ; 57 (40%) were retained. Of these,
% 0.38/0.54 ; 4 ( 7%) were simplified or subsumed later,
% 0.38/0.54 ; 53 (93%) are still being kept.
% 0.38/0.54 ;
% 0.38/0.54 ; Run time in seconds excluding printing time:
% 0.38/0.54 ; 0.002 5% Read assertion file (1 call)
% 0.38/0.54 ; 0.001 3% Assert (7 calls)
% 0.38/0.54 ; 0.005 14% Process new row (127 calls)
% 0.38/0.54 ; 0.003 8% Resolution (20 calls)
% 0.38/0.54 ; 0.000 0% Paramodulation (10 calls)
% 0.38/0.54 ; 0.000 0% Condensing (2 calls)
% 0.38/0.54 ; 0.000 0% Forward subsumption (2 calls)
% 0.38/0.54 ; 0.000 0% Backward subsumption (2 calls)
% 0.38/0.54 ; 0.000 0% Clause clause subsumption (2 calls)
% 0.38/0.54 ; 0.002 5% Forward simplification (114 calls)
% 0.38/0.54 ; 0.001 3% Backward simplification (57 calls)
% 0.38/0.54 ; 0.000 0% Sortal reasoning (32 calls)
% 0.38/0.54 ; 0.000 0% Purity testing (1 call)
% 0.38/0.54 ; 0.023 62% Other
% 0.38/0.54 ; 0.037 Total
% 0.38/0.54 ; 0.039 Real time
% 0.38/0.54 ;
% 0.38/0.54 ; Term-hash-array has 91 terms in all.
% 0.38/0.54 ; Feature-vector-row-index has 2 entries (2 at peak, 2 added, 0 deleted).
% 0.38/0.54 ; Feature-vector-row-index has 3 nodes (3 at peak, 3 added, 0 deleted).
% 0.38/0.54 ; Retrieved 1 possibly forward subsuming row in 2 calls.
% 0.38/0.54 ; Retrieved 1 possibly backward subsumed row in 2 calls.
% 0.38/0.54 ; Path-index has 88 entries (88 at peak, 93 added, 5 deleted).
% 0.38/0.54 ; Path-index has 131 nodes (131 at peak, 133 added, 2 deleted).
% 0.38/0.54 ; Trie-index has 88 entries (88 at peak, 93 added, 5 deleted).
% 0.38/0.54 ; Trie-index has 233 nodes (233 at peak, 245 added, 12 deleted).
% 0.38/0.54 ; Retrieved 105 generalization terms in 118 calls.
% 0.38/0.54 ; Retrieved 63 instance terms in 54 calls.
% 0.38/0.54 ; Retrieved 1,961 unifiable terms in 311 calls.
% 0.38/0.54 ;
% 0.38/0.54 ; The agenda of rows to process has 8 entries:
% 0.38/0.54 ; 3 with value 7 1 with value 10 1 with value 13
% 0.38/0.54 ; 1 with value 9 2 with value 12
% 0.38/0.54 ; The agenda of rows to give has 43 entries:
% 0.38/0.54 ; 3 with value (4 8) 10 with value (4 11) 4 with value (4 13)
% 0.38/0.54 ; 9 with value (4 9) 7 with value (4 12) 4 with value (4 14)
% 0.38/0.54 ; 6 with value (4 10)
% 0.38/0.54 Evaluation took:
% 0.38/0.54 0.039 seconds of real time
% 0.38/0.54 0.033565 seconds of user run time
% 0.38/0.54 0.005134 seconds of system run time
% 0.38/0.54 0 calls to %EVAL
% 0.38/0.54 0 page faults and
% 0.38/0.54 2,063,048 bytes consed.
% 0.38/0.54 :PROOF-FOUND
% 0.38/0.54 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T12:21:18
% 0.38/0.54 :PROOF-FOUND
% 0.38/0.54 *
%------------------------------------------------------------------------------