%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP004-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n027.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 11:35:11 EDT 2022
% Result : Unsatisfiable 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 7 ( 5 unt; 0 nHn; 4 RR)
% Number of literals : 13 ( 0 equ; 7 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 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 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(left_identity,axiom,
product(identity,X,X),
file('/export/starexec/sandbox/benchmark/Axioms/GRP005-0.ax',left_identity) ).
cnf(left_inverse,axiom,
product(inverse(X),X,identity),
file('/export/starexec/sandbox/benchmark/Axioms/GRP005-0.ax',left_inverse) ).
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/GRP005-0.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/GRP005-0.ax',associativity2) ).
cnf(prove_right_inverse,negated_conjecture,
~ product(a,inverse(a),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_right_inverse) ).
cnf(19,plain,
product(inverse(inverse(X)),identity,X),
inference('HYPERRESOLVE',[status(thm)],[associativity1,left_inverse,left_inverse,left_identity]) ).
cnf(35,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[associativity2,left_identity,left_inverse,prove_right_inverse]),19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP004-2 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.14/0.33 % Computer : n027.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 600
% 0.14/0.33 % DateTime : Mon Jun 13 06:51:47 EDT 2022
% 0.14/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 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 2022-06-13T06:51:47
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-13T06:51:47
% 0.19/0.47
% 0.19/0.47 ; Recognized possible left identity assertion (|product| |identity| ?X ?X).
% 0.19/0.47 ; Recognized possible left inverse assertion (|product| (|inverse| ?X) ?X |identity|).
% 0.19/0.47 ; Recognized relation function assertion (|product| ?X ?Y (|multiply| ?X ?Y)).
% 0.19/0.47 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?Z ?U ?W)) (|product| ?X ?V ?W)).
% 0.19/0.49 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?X ?V ?W)) (|product| ?Z ?U ?W)).
% 0.19/0.49
% 0.19/0.49 #||
% 0.19/0.49 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.49 % SZS output start Refutation
% See solution above
% 0.19/0.49 ||#
% 0.19/0.49
% 0.19/0.49 ; Summary of computation:
% 0.19/0.49 ; 103 formulas have been input or derived (from 9 formulas).
% 0.19/0.49 ; 35 (34%) were retained. Of these,
% 0.19/0.49 ; 1 ( 3%) were simplified or subsumed later,
% 0.19/0.49 ; 34 (97%) are still being kept.
% 0.19/0.49 ;
% 0.19/0.49 ; Run time in seconds:
% 0.19/0.49 ; 0.002 6% Read assertion file (1 call)
% 0.19/0.49 ; 0.001 3% Assert (8 calls)
% 0.19/0.49 ; 0.003 9% Process new row (75 calls)
% 0.19/0.49 ; 0.003 9% Resolution (16 calls)
% 0.19/0.49 ; 0.000 0% Paramodulation (8 calls)
% 0.19/0.49 ; 0.000 0% Condensing (4 calls)
% 0.19/0.49 ; 0.000 0% Forward subsumption (4 calls)
% 0.19/0.50 ; 0.000 0% Backward subsumption (4 calls)
% 0.19/0.50 ; 0.001 3% Clause clause subsumption (2 calls)
% 0.19/0.50 ; 0.001 3% Forward simplification (75 calls)
% 0.19/0.50 ; 0.000 0% Backward simplification (35 calls)
% 0.19/0.50 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.50 ; 0.000 0% Purity testing (1 call)
% 0.19/0.50 ; 0.021 66% Other
% 0.19/0.50 ; 0.032 Total
% 0.19/0.50 ; 0.033 Real time
% 0.19/0.50 ;
% 0.19/0.50 ; Term-hash-array has 58 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 8 nodes (8 at peak, 8 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 59 entries (59 at peak, 60 added, 1 deleted).
% 0.19/0.50 ; Path-index has 113 nodes (113 at peak, 115 added, 2 deleted).
% 0.19/0.50 ; Trie-index has 59 entries (59 at peak, 60 added, 1 deleted).
% 0.19/0.50 ; Trie-index has 156 nodes (156 at peak, 158 added, 2 deleted).
% 0.19/0.50 ; Retrieved 65 generalization terms in 81 calls.
% 0.19/0.50 ; Retrieved 33 instance terms in 30 calls.
% 0.19/0.50 ; Retrieved 1,451 unifiable terms in 215 calls.
% 0.19/0.50 ;
% 0.19/0.50 ; The agenda of rows to process has 28 entries:
% 0.19/0.50 ; 1 with value 10 4 with value 12 4 with value 14
% 0.19/0.50 ; 12 with value 11 7 with value 13
% 0.19/0.50 ; The agenda of rows to give has 25 entries:
% 0.19/0.50 ; 1 with value (4 5) 10 with value (4 10) 3 with value (4 12)
% 0.19/0.50 ; 4 with value (4 8) 2 with value (4 11) 2 with value (4 14)
% 0.19/0.50 ; 3 with value (4 9)
% 0.19/0.50 Evaluation took:
% 0.19/0.50 0.033 seconds of real time
% 0.19/0.50 0.026261 seconds of user run time
% 0.19/0.50 0.007219 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 1,932,304 bytes consed.
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T06:51:47
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 *
%------------------------------------------------------------------------------