%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP034-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n017.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 11:35:23 EDT 2022
% Result : Unsatisfiable 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 7 ( 6 unt; 0 nHn; 5 RR)
% Number of literals : 10 ( 0 equ; 4 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 5 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(left_identity,axiom,
product(identity,X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
cnf(right_inverse,axiom,
product(X,inverse(X),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_inverse) ).
cnf(closure_of_subgroup,axiom,
( ~ subgroup_member(X)
| ~ subgroup_member(Y)
| ~ product(Y,inverse(X),Z)
| subgroup_member(Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_subgroup) ).
cnf(a_is_in_subgroup,hypothesis,
subgroup_member(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_in_subgroup) ).
cnf(prove_inverse_is_in_subgroup,negated_conjecture,
~ subgroup_member(inverse(a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_inverse_is_in_subgroup) ).
cnf(10,plain,
subgroup_member(identity),
inference('HYPERRESOLVE',[status(thm)],[closure_of_subgroup,a_is_in_subgroup,a_is_in_subgroup,right_inverse]) ).
cnf(11,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[closure_of_subgroup,a_is_in_subgroup,left_identity,prove_inverse_is_in_subgroup]),10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GRP034-4 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n017.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 09:46:23 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 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T09:46:24
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-06-14T09:46:24
% 0.20/0.50
% 0.20/0.50 ; Recognized relation function assertion (|product| ?X ?Y (|multiply| ?X ?Y)).
% 0.20/0.50 ; Recognized possible left identity assertion (|product| |identity| ?X ?X).
% 0.20/0.50 ; Recognized possible right identity assertion (|product| ?X |identity| ?X).
% 0.20/0.50 ; Recognized possible right inverse assertion (|product| ?X (|inverse| ?X) |identity|).
% 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)).
% 0.20/0.51 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?X ?V ?W)) (|product| ?Z ?U ?W)).
% 0.20/0.51
% 0.20/0.51 #||
% 0.20/0.51 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.51 % SZS output start Refutation
% See solution above
% 0.20/0.51 ||#
% 0.20/0.51
% 0.20/0.51 ; Summary of computation:
% 0.20/0.51 ; 15 formulas have been input or derived (from 8 formulas).
% 0.20/0.51 ; 11 (73%) were retained. Of these,
% 0.20/0.51 ; 11 (100%) are still being kept.
% 0.20/0.51 ;
% 0.20/0.51 ; Run time in seconds excluding printing time:
% 0.20/0.51 ; 0.002 8% Read assertion file (1 call)
% 0.20/0.51 ; 0.001 4% Assert (9 calls)
% 0.20/0.51 ; 0.000 0% Process new row (11 calls)
% 0.20/0.51 ; 0.001 4% Resolution (14 calls)
% 0.20/0.51 ; 0.000 0% Paramodulation (7 calls)
% 0.20/0.51 ; 0.000 0% Condensing (3 calls)
% 0.20/0.51 ; 0.000 0% Forward subsumption (3 calls)
% 0.20/0.51 ; 0.001 4% Backward subsumption (3 calls)
% 0.20/0.51 ; 0.000 0% Clause clause subsumption (2 calls)
% 0.20/0.51 ; 0.000 0% Forward simplification (11 calls)
% 0.20/0.51 ; 0.000 0% Backward simplification (11 calls)
% 0.20/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.51 ; 0.000 0% Purity testing (1 call)
% 0.20/0.51 ; 0.021 81% Other
% 0.20/0.51 ; 0.026 Total
% 0.20/0.51 ; 0.028 Real time
% 0.20/0.51 ;
% 0.20/0.51 ; Term-hash-array has 18 terms in all.
% 0.20/0.51 ; Feature-vector-row-index has 3 entries (3 at peak, 3 added, 0 deleted).
% 0.20/0.51 ; Feature-vector-row-index has 7 nodes (7 at peak, 7 added, 0 deleted).
% 0.20/0.51 ; Retrieved 1 possibly forward subsuming row in 3 calls.
% 0.20/0.51 ; Retrieved 1 possibly backward subsumed row in 3 calls.
% 0.20/0.51 ; Path-index has 20 entries (20 at peak, 20 added, 0 deleted).
% 0.20/0.51 ; Path-index has 34 nodes (34 at peak, 34 added, 0 deleted).
% 0.20/0.51 ; Trie-index has 20 entries (20 at peak, 20 added, 0 deleted).
% 0.20/0.51 ; Trie-index has 31 nodes (31 at peak, 31 added, 0 deleted).
% 0.20/0.51 ; Retrieved 1 generalization term in 15 calls.
% 0.20/0.51 ; Retrieved 7 instance terms in 7 calls.
% 0.20/0.51 ; Retrieved 122 unifiable terms in 48 calls.
% 0.20/0.51 ;
% 0.20/0.51 ; The agenda of rows to process has 4 entries:
% 0.20/0.51 ; 1 with value 4 3 with value 9
% 0.20/0.51 ; The agenda of input rows to give has 2 entries:
% 0.20/0.51 ; 2 with value 20
% 0.20/0.51 ; The agenda of rows to give has 1 entry:
% 0.20/0.51 ; 1 with value (4 4)
% 0.20/0.51 Evaluation took:
% 0.20/0.51 0.028 seconds of real time
% 0.20/0.51 0.02217 seconds of user run time
% 0.20/0.51 0.005625 seconds of system run time
% 0.20/0.51 0 calls to %EVAL
% 0.20/0.51 0 page faults and
% 0.20/0.51 1,571,944 bytes consed.
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.51 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T09:46:24
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.51 *
%------------------------------------------------------------------------------