TSTP Solution File: GRP029-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP029-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n004.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 11:35:21 EDT 2022
% Result : Unsatisfiable 0.19s 0.50s
% Output : Refutation 0.19s
% 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; 1 con; 0-1 aty)
% Number of variables : 16 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(associativity1,axiom,
( ~ product(X,Y,Z)
| ~ product(Y,U,V)
| ~ product(Z,U,W)
| product(X,V,W) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP002-0.ax',associativity1) ).
cnf(associativity2,axiom,
( ~ product(X,Y,Z)
| ~ product(Y,U,V)
| ~ product(X,V,W)
| product(Z,U,W) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP002-0.ax',associativity2) ).
cnf(left_identity,axiom,
product(identity,X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
cnf(left_inverse,axiom,
product(inverse(X),X,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
cnf(prove_there_is_a_right_identity,negated_conjecture,
~ product(not_right_identity(X),X,not_right_identity(X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_there_is_a_right_identity) ).
cnf(23,plain,
~ product(X,identity,not_right_identity(identity)),
inference('UR-RESOLVE',[status(thm)],[associativity2,left_identity,prove_there_is_a_right_identity]) ).
cnf(46,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[associativity1,23,left_inverse,left_inverse,left_identity]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP029-1 : TPTP v8.1.0. Released v1.0.0.
% 0.00/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n004.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 14 13:05:09 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T13:05:09
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-06-14T13:05:09
% 0.19/0.48
% 0.19/0.48 ; Recognized relation function assertion (|product| ?X ?Y (|multiply| ?X ?Y)).
% 0.19/0.48 ; Recognized relation functionality assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?X ?Y ?U)) (= ?Z ?U)).
% 0.19/0.48 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?Z ?U ?W)) (|product| ?X ?V ?W)).
% 0.19/0.48 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?X ?V ?W)) (|product| ?Z ?U ?W)).
% 0.19/0.48 ; Recognized possible left identity assertion (|product| |identity| ?X ?X).
% 0.19/0.50 ; Recognized possible left inverse assertion (|product| (|inverse| ?X) ?X |identity|).
% 0.19/0.50
% 0.19/0.50 #||
% 0.19/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.50 % SZS output start Refutation
% See solution above
% 0.19/0.51 ||#
% 0.19/0.51
% 0.19/0.51 ; Summary of computation:
% 0.19/0.51 ; 290 formulas have been input or derived (from 11 formulas).
% 0.19/0.51 ; 46 (16%) were retained. Of these,
% 0.19/0.51 ; 3 ( 7%) were simplified or subsumed later,
% 0.19/0.51 ; 43 (93%) are still being kept.
% 0.19/0.51 ;
% 0.19/0.51 ; Run time in seconds:
% 0.19/0.51 ; 0.002 5% Read assertion file (1 call)
% 0.19/0.51 ; 0.000 0% Assert (7 calls)
% 0.19/0.51 ; 0.006 15% Process new row (230 calls)
% 0.19/0.51 ; 0.006 15% Resolution (20 calls)
% 0.19/0.51 ; 0.001 2% Paramodulation (10 calls)
% 0.19/0.51 ; 0.000 0% Condensing (3 calls)
% 0.19/0.51 ; 0.000 0% Forward subsumption (3 calls)
% 0.19/0.51 ; 0.000 0% Backward subsumption (3 calls)
% 0.19/0.51 ; 0.000 0% Clause clause subsumption (2 calls)
% 0.19/0.51 ; 0.002 5% Forward simplification (230 calls)
% 0.19/0.51 ; 0.000 0% Backward simplification (46 calls)
% 0.19/0.51 ; 0.000 0% Ordering (8 calls)
% 0.19/0.51 ; 0.001 2% Sortal reasoning (32 calls)
% 0.19/0.51 ; 0.001 2% Purity testing (1 call)
% 0.19/0.51 ; 0.021 52% Other
% 0.19/0.51 ; 0.040 Total
% 0.19/0.51 ; 0.041 Real time
% 0.19/0.51 ;
% 0.19/0.51 ; Term-hash-array has 87 terms in all.
% 0.19/0.51 ; Feature-vector-row-index has 3 entries (3 at peak, 3 added, 0 deleted).
% 0.19/0.51 ; Feature-vector-row-index has 5 nodes (5 at peak, 5 added, 0 deleted).
% 0.19/0.51 ; Retrieved 1 possibly forward subsuming row in 3 calls.
% 0.19/0.51 ; Retrieved 1 possibly backward subsumed row in 3 calls.
% 0.19/0.51 ; Path-index has 84 entries (84 at peak, 88 added, 4 deleted).
% 0.19/0.51 ; Path-index has 181 nodes (181 at peak, 183 added, 2 deleted).
% 0.19/0.51 ; Trie-index has 84 entries (84 at peak, 88 added, 4 deleted).
% 0.19/0.51 ; Trie-index has 270 nodes (270 at peak, 282 added, 12 deleted).
% 0.19/0.51 ; Retrieved 345 generalization terms in 380 calls.
% 0.19/0.51 ; Retrieved 44 instance terms in 42 calls.
% 0.19/0.51 ; Retrieved 3,094 unifiable terms in 460 calls.
% 0.19/0.51 ;
% 0.19/0.51 ; The agenda of rows to process has 34 entries:
% 0.19/0.51 ; 15 with value 9 4 with value 11 2 with value 13
% 0.19/0.51 ; 9 with value 10 4 with value 12
% 0.19/0.51 ; The agenda of rows to give has 32 entries:
% 0.19/0.51 ; 2 with value (4 9) 4 with value (4 12) 1 with value (4 15)
% 0.19/0.51 ; 3 with value (4 10) 6 with value (4 13) 1 with value (4 17)
% 0.19/0.51 ; 5 with value (4 11) 10 with value (4 14)
% 0.19/0.51 Evaluation took:
% 0.19/0.51 0.041 seconds of real time
% 0.19/0.51 0.036244 seconds of user run time
% 0.19/0.51 0.005131 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 2,256,360 bytes consed.
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T13:05:09
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 *
%------------------------------------------------------------------------------