%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP030-1 : 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 11:35:21 EDT 2022
% Result : Unsatisfiable 0.20s 0.53s
% Output : Refutation 0.20s
% 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 : 15 ( 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,hypothesis,
product(identity,X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
cnf(left_inverse,hypothesis,
product(inverse(X),X,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
cnf(prove_identity_is_a_right_identity,negated_conjecture,
~ product(a,identity,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_identity_is_a_right_identity) ).
cnf(21,plain,
~ product(X,identity,a),
inference('UR-RESOLVE',[status(thm)],[associativity2,left_identity,prove_identity_is_a_right_identity]) ).
cnf(37,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[associativity1,21,left_inverse,left_inverse,left_identity]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP030-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % 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 02:19:38 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-06-14T02:19:38
% 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 2022-06-14T02:19:38
% 0.20/0.50
% 0.20/0.50 ; Recognized relation function assertion (|product| ?X ?Y (|multiply| ?X ?Y)).
% 0.20/0.50 ; Recognized relation functionality assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?X ?Y ?U)) (= ?Z ?U)).
% 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 left identity assertion (|product| |identity| ?X ?X).
% 0.20/0.53 ; Recognized possible left inverse assertion (|product| (|inverse| ?X) ?X |identity|).
% 0.20/0.53
% 0.20/0.53 #||
% 0.20/0.53 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.53 % SZS output start Refutation
% See solution above
% 0.20/0.53 ||#
% 0.20/0.53
% 0.20/0.53 ; Summary of computation:
% 0.20/0.53 ; 133 formulas have been input or derived (from 10 formulas).
% 0.20/0.53 ; 37 (28%) were retained. Of these,
% 0.20/0.53 ; 3 ( 8%) were simplified or subsumed later,
% 0.20/0.53 ; 34 (92%) are still being kept.
% 0.20/0.53 ;
% 0.20/0.53 ; Run time in seconds excluding printing time:
% 0.20/0.53 ; 0.003 9% Read assertion file (1 call)
% 0.20/0.53 ; 0.000 0% Assert (7 calls)
% 0.20/0.53 ; 0.004 11% Process new row (107 calls)
% 0.20/0.53 ; 0.003 9% Resolution (18 calls)
% 0.20/0.53 ; 0.000 0% Paramodulation (9 calls)
% 0.20/0.53 ; 0.000 0% Condensing (3 calls)
% 0.20/0.53 ; 0.000 0% Forward subsumption (3 calls)
% 0.20/0.53 ; 0.000 0% Backward subsumption (3 calls)
% 0.20/0.53 ; 0.000 0% Clause clause subsumption (2 calls)
% 0.20/0.53 ; 0.001 3% Forward simplification (105 calls)
% 0.20/0.53 ; 0.002 6% Backward simplification (37 calls)
% 0.20/0.53 ; 0.000 0% Ordering (3 calls)
% 0.20/0.53 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.53 ; 0.000 0% Purity testing (1 call)
% 0.20/0.53 ; 0.022 63% Other
% 0.20/0.53 ; 0.035 Total
% 0.20/0.53 ; 0.036 Real time
% 0.20/0.53 ;
% 0.20/0.53 ; Term-hash-array has 67 terms in all.
% 0.20/0.53 ; Feature-vector-row-index has 3 entries (3 at peak, 3 added, 0 deleted).
% 0.20/0.53 ; Feature-vector-row-index has 5 nodes (5 at peak, 5 added, 0 deleted).
% 0.20/0.53 ; Retrieved 1 possibly forward subsuming row in 3 calls.
% 0.20/0.53 ; Retrieved 1 possibly backward subsumed row in 3 calls.
% 0.20/0.53 ; Path-index has 66 entries (66 at peak, 70 added, 4 deleted).
% 0.20/0.53 ; Path-index has 134 nodes (134 at peak, 135 added, 1 deleted).
% 0.20/0.53 ; Trie-index has 66 entries (66 at peak, 70 added, 4 deleted).
% 0.20/0.53 ; Trie-index has 192 nodes (192 at peak, 200 added, 8 deleted).
% 0.20/0.53 ; Retrieved 134 generalization terms in 179 calls.
% 0.20/0.53 ; Retrieved 36 instance terms in 33 calls.
% 0.20/0.53 ; Retrieved 1,465 unifiable terms in 272 calls.
% 0.20/0.53 ;
% 0.20/0.53 ; The agenda of rows to process has 22 entries:
% 0.20/0.53 ; 13 with value 7 3 with value 10 1 with value 12
% 0.20/0.53 ; 3 with value 9 2 with value 11
% 0.20/0.53 ; The agenda of rows to give has 25 entries:
% 0.20/0.53 ; 3 with value (4 8) 4 with value (4 11) 3 with value (4 13)
% 0.20/0.53 ; 2 with value (4 9) 3 with value (4 12) 4 with value (4 14)
% 0.20/0.53 ; 6 with value (4 10)
% 0.20/0.53 Evaluation took:
% 0.20/0.53 0.037 seconds of real time
% 0.20/0.53 0.02768 seconds of user run time
% 0.20/0.53 0.008799 seconds of system run time
% 0.20/0.53 0 calls to %EVAL
% 0.20/0.53 0 page faults and
% 0.20/0.53 1,969,256 bytes consed.
% 0.20/0.53 :PROOF-FOUND
% 0.20/0.53 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T02:19:38
% 0.20/0.53 :PROOF-FOUND
% 0.20/0.53 *
%------------------------------------------------------------------------------