TSTP Solution File: GRP034-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP034-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n010.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 0.19s 0.50s
% Output : Refutation 0.19s
% 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/sandbox2/benchmark/Axioms/GRP003-0.ax',left_identity) ).
cnf(right_inverse,axiom,
product(X,inverse(X),identity),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',right_inverse) ).
cnf(closure_of_product_and_inverse,axiom,
( ~ subgroup_member(X)
| ~ subgroup_member(Y)
| ~ product(X,inverse(Y),Z)
| subgroup_member(Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-2.ax',closure_of_product_and_inverse) ).
cnf(a_is_in_subgroup,hypothesis,
subgroup_member(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_in_subgroup) ).
cnf(prove_a_inverse_is_in_subgroup,negated_conjecture,
~ subgroup_member(inverse(a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_inverse_is_in_subgroup) ).
cnf(17,plain,
subgroup_member(identity),
inference('HYPERRESOLVE',[status(thm)],[closure_of_product_and_inverse,a_is_in_subgroup,a_is_in_subgroup,right_inverse]) ).
cnf(18,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[closure_of_product_and_inverse,a_is_in_subgroup,left_identity,prove_a_inverse_is_in_subgroup]),17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GRP034-3 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 14 01:26:09 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T01:26:09
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2022-06-14T01:26:09
% 0.19/0.49
% 0.19/0.49 ; Recognized possible left identity assertion (|product| |identity| ?X ?X).
% 0.19/0.49 ; Recognized possible right identity assertion (|product| ?X |identity| ?X).
% 0.19/0.49 ; Recognized possible left inverse assertion (|product| (|inverse| ?X) ?X |identity|).
% 0.19/0.49 ; Recognized possible right inverse assertion (|product| ?X (|inverse| ?X) |identity|).
% 0.19/0.49 ; Recognized relation function assertion (|product| ?X ?Y (|multiply| ?X ?Y)).
% 0.19/0.49 ; Recognized relation functionality assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?X ?Y ?U)) (= ?Z ?U)).
% 0.19/0.49 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?Z ?U ?W)) (|product| ?X ?V ?W)).
% 0.19/0.50 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?X ?V ?W)) (|product| ?Z ?U ?W)).
% 0.19/0.50
% 0.19/0.50 #||
% 0.19/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.50 % SZS output start Refutation
% See solution above
% 0.19/0.50 ||#
% 0.19/0.50
% 0.19/0.50 ; Summary of computation:
% 0.19/0.50 ; 55 formulas have been input or derived (from 10 formulas).
% 0.19/0.50 ; 18 (33%) were retained. Of these,
% 0.19/0.50 ; 18 (100%) are still being kept.
% 0.19/0.50 ;
% 0.19/0.50 ; Run time in seconds excluding printing time:
% 0.19/0.50 ; 0.003 10% Read assertion file (1 call)
% 0.19/0.50 ; 0.001 3% Assert (11 calls)
% 0.19/0.50 ; 0.002 7% Process new row (41 calls)
% 0.19/0.50 ; 0.001 3% Resolution (18 calls)
% 0.19/0.50 ; 0.000 0% Paramodulation (9 calls)
% 0.19/0.50 ; 0.000 0% Condensing (4 calls)
% 0.19/0.50 ; 0.000 0% Forward subsumption (4 calls)
% 0.19/0.50 ; 0.000 0% Backward subsumption (4 calls)
% 0.19/0.50 ; 0.000 0% Clause clause subsumption (2 calls)
% 0.19/0.50 ; 0.000 0% Forward simplification (41 calls)
% 0.19/0.50 ; 0.000 0% Backward simplification (18 calls)
% 0.19/0.50 ; 0.000 0% Ordering (6 calls)
% 0.19/0.50 ; 0.001 3% Sortal reasoning (32 calls)
% 0.19/0.50 ; 0.000 0% Purity testing (1 call)
% 0.19/0.50 ; 0.021 72% Other
% 0.19/0.50 ; 0.029 Total
% 0.19/0.50 ; 0.031 Real time
% 0.19/0.50 ;
% 0.19/0.50 ; Term-hash-array has 32 terms in all.
% 0.19/0.50 ; Feature-vector-row-index has 4 entries (4 at peak, 4 added, 0 deleted).
% 0.19/0.50 ; Feature-vector-row-index has 9 nodes (9 at peak, 9 added, 0 deleted).
% 0.19/0.50 ; Retrieved 1 possibly forward subsuming row in 4 calls.
% 0.19/0.50 ; Retrieved 1 possibly backward subsumed row in 4 calls.
% 0.19/0.50 ; Path-index has 34 entries (34 at peak, 34 added, 0 deleted).
% 0.19/0.50 ; Path-index has 59 nodes (59 at peak, 59 added, 0 deleted).
% 0.19/0.50 ; Trie-index has 34 entries (34 at peak, 34 added, 0 deleted).
% 0.19/0.50 ; Trie-index has 62 nodes (62 at peak, 62 added, 0 deleted).
% 0.19/0.50 ; Retrieved 13 generalization terms in 41 calls.
% 0.19/0.50 ; Retrieved 13 instance terms in 13 calls.
% 0.19/0.50 ; Retrieved 239 unifiable terms in 97 calls.
% 0.19/0.50 ;
% 0.19/0.50 ; The agenda of rows to process has 4 entries:
% 0.19/0.50 ; 1 with value 4 3 with value 9
% 0.19/0.50 ; The agenda of input rows to give has 2 entries:
% 0.19/0.50 ; 2 with value 20
% 0.19/0.50 ; The agenda of rows to give has 6 entries:
% 0.19/0.50 ; 1 with value (4 4) 2 with value (4 8) 2 with value (4 10)
% 0.19/0.50 ; 1 with value (4 7)
% 0.19/0.50 Evaluation took:
% 0.19/0.50 0.032 seconds of real time
% 0.19/0.50 0.02664 seconds of user run time
% 0.19/0.50 0.004803 seconds of system run time
% 0.19/0.50 0 calls to %EVAL
% 0.19/0.50 0 page faults and
% 0.19/0.50 1,706,976 bytes consed.
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T01:26:09
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 *
%------------------------------------------------------------------------------