TSTP Solution File: GRP028-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP028-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : Sat Jul 16 11:35:20 EDT 2022
% Result : Unsatisfiable 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 4
% Syntax : Number of clauses : 5 ( 4 unt; 0 nHn; 3 RR)
% Number of literals : 8 ( 0 equ; 4 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; 0 con; 1-2 aty)
% Number of variables : 11 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(associativity,axiom,
( ~ product(X,Y,Z)
| ~ product(Y,U,V)
| ~ product(X,V,W)
| product(Z,U,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
cnf(left_soln,hypothesis,
product(left_solution(X,Y),X,Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_soln) ).
cnf(right_soln,hypothesis,
product(X,right_solution(X,Y),Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_soln) ).
cnf(prove_there_is_a_right_identity,negated_conjecture,
~ product(not_identity(X),X,not_identity(X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_there_is_a_right_identity) ).
cnf(5,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[associativity,left_soln,right_soln,left_soln,prove_there_is_a_right_identity]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP028-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.14 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n028.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 : Tue Jun 14 11:59:54 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 *
% 0.20/0.49 #<PACKAGE "SNARK-USER">
% 0.20/0.49 *
% 0.20/0.49 SNARK-TPTP-OPTIONS
% 0.20/0.49 *
% 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 2022-06-14T11:59:54
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-14T11:59:54
% 0.20/0.50
% 0.20/0.52 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?X ?V ?W)) (|product| ?Z ?U ?W)).
% 0.20/0.52
% 0.20/0.52 #||
% 0.20/0.52 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.52 % SZS output start Refutation
% See solution above
% 0.20/0.52 ||#
% 0.20/0.52
% 0.20/0.52 ; Summary of computation:
% 0.20/0.52 ; 23 formulas have been input or derived (from 5 formulas).
% 0.20/0.52 ; 5 (22%) were retained. Of these,
% 0.20/0.52 ; 5 (100%) are still being kept.
% 0.20/0.52 ;
% 0.20/0.52 ; Run time in seconds excluding printing time:
% 0.20/0.52 ; 0.001 4% Read assertion file (1 call)
% 0.20/0.52 ; 0.001 4% Assert (4 calls)
% 0.20/0.52 ; 0.000 0% Process new row (5 calls)
% 0.20/0.52 ; 0.000 0% Resolution (8 calls)
% 0.20/0.52 ; 0.000 0% Paramodulation (4 calls)
% 0.20/0.52 ; 0.000 0% Condensing (1 call)
% 0.20/0.52 ; 0.000 0% Forward subsumption (1 call)
% 0.20/0.52 ; 0.000 0% Backward subsumption (1 call)
% 0.20/0.52 ; 0.000 0% Forward simplification (5 calls)
% 0.20/0.52 ; 0.000 0% Backward simplification (5 calls)
% 0.20/0.52 ; 0.001 4% Sortal reasoning (32 calls)
% 0.20/0.52 ; 0.000 0% Purity testing (1 call)
% 0.20/0.52 ; 0.022 88% Other
% 0.20/0.52 ; 0.025 Total
% 0.20/0.52 ; 0.028 Real time
% 0.20/0.52 ;
% 0.20/0.52 ; Term-hash-array has 10 terms in all.
% 0.20/0.52 ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 0.20/0.52 ; Feature-vector-row-index has 3 nodes (3 at peak, 3 added, 0 deleted).
% 0.20/0.52 ; Retrieved 0 possibly forward subsuming rows in 1 call.
% 0.20/0.52 ; Retrieved 0 possibly backward subsumed rows in 1 call.
% 0.20/0.52 ; Path-index has 10 entries (10 at peak, 10 added, 0 deleted).
% 0.20/0.52 ; Path-index has 34 nodes (34 at peak, 34 added, 0 deleted).
% 0.20/0.52 ; Trie-index has 10 entries (10 at peak, 10 added, 0 deleted).
% 0.20/0.52 ; Trie-index has 27 nodes (27 at peak, 27 added, 0 deleted).
% 0.20/0.52 ; Retrieved 0 generalization terms in 2 calls.
% 0.20/0.52 ; Retrieved 3 instance terms in 3 calls.
% 0.20/0.52 ; Retrieved 154 unifiable terms in 49 calls.
% 0.20/0.52 ;
% 0.20/0.52 ; The agenda of rows to process has 17 entries:
% 0.20/0.52 ; 1 with value 6 1 with value 11 7 with value 15
% 0.20/0.52 ; 1 with value 9 5 with value 14 2 with value 17
% 0.20/0.52 Evaluation took:
% 0.20/0.52 0.028 seconds of real time
% 0.20/0.52 0.02263 seconds of user run time
% 0.20/0.52 0.004907 seconds of system run time
% 0.20/0.52 0 calls to %EVAL
% 0.20/0.52 0 page faults and
% 0.20/0.52 1,461,256 bytes consed.
% 0.20/0.52 :PROOF-FOUND
% 0.20/0.52 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T11:59:54
% 0.20/0.52 :PROOF-FOUND
% 0.20/0.52 *
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