%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP029-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 0.54s
% 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; 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/theBenchmark.p',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/theBenchmark.p',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(38,plain,
~ product(X,identity,not_right_identity(identity)),
inference('UR-RESOLVE',[status(thm)],[associativity2,left_identity,prove_there_is_a_right_identity]) ).
cnf(90,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[associativity1,38,left_inverse,left_inverse,left_identity]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP029-2 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n026.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 03:07:21 EDT 2022
% 0.13/0.34 % 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 2022-06-14T03:07:21
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-14T03:07:21
% 0.20/0.50
% 0.20/0.50 ; Recognized commutativity assertion (OR (NOT (|equalish| ?X ?Y)) (|equalish| ?Y ?X)).
% 0.20/0.50 ; Recognized relation function assertion (|product| ?X ?Y (|multiply| ?X ?Y)).
% 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).
% 0.20/0.50 ; Recognized possible left inverse assertion (|product| (|inverse| ?X) ?X |identity|).
% 0.20/0.54 ; Declaring equalish to be commutative.
% 0.20/0.54
% 0.20/0.54 #||
% 0.20/0.54 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.54 % SZS output start Refutation
% See solution above
% 0.20/0.54 ||#
% 0.20/0.54
% 0.20/0.54 ; Summary of computation:
% 0.20/0.54 ; 428 formulas have been input or derived (from 19 formulas).
% 0.20/0.54 ; 90 (21%) were retained. Of these,
% 0.20/0.54 ; 1 ( 1%) were simplified or subsumed later,
% 0.20/0.54 ; 89 (99%) are still being kept.
% 0.20/0.54 ;
% 0.20/0.54 ; Run time in seconds:
% 0.20/0.54 ; 0.003 6% Read assertion file (1 call)
% 0.20/0.54 ; 0.001 2% Assert (16 calls)
% 0.20/0.54 ; 0.008 15% Process new row (320 calls)
% 0.20/0.54 ; 0.011 21% Resolution (36 calls)
% 0.20/0.54 ; 0.000 0% Paramodulation (18 calls)
% 0.20/0.54 ; 0.001 2% Condensing (10 calls)
% 0.20/0.54 ; 0.000 0% Forward subsumption (10 calls)
% 0.20/0.54 ; 0.000 0% Backward subsumption (10 calls)
% 0.20/0.54 ; 0.000 0% Clause clause subsumption (10 calls)
% 0.20/0.54 ; 0.002 4% Forward simplification (320 calls)
% 0.20/0.54 ; 0.001 2% Backward simplification (90 calls)
% 0.20/0.54 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.54 ; 0.000 0% Purity testing (1 call)
% 0.20/0.54 ; 0.025 48% Other
% 0.20/0.54 ; 0.052 Total
% 0.20/0.54 ; 0.052 Real time
% 0.20/0.54 ;
% 0.20/0.54 ; Term-hash-array has 153 terms in all.
% 0.20/0.54 ; Feature-vector-row-index has 10 entries (10 at peak, 10 added, 0 deleted).
% 0.20/0.54 ; Feature-vector-row-index has 14 nodes (14 at peak, 14 added, 0 deleted).
% 0.20/0.54 ; Retrieved 5 possibly forward subsuming rows in 10 calls.
% 0.20/0.54 ; Retrieved 5 possibly backward subsumed rows in 10 calls.
% 0.20/0.54 ; Path-index has 153 entries (153 at peak, 154 added, 1 deleted).
% 0.20/0.54 ; Path-index has 230 nodes (230 at peak, 230 added, 0 deleted).
% 0.20/0.54 ; Trie-index has 153 entries (153 at peak, 154 added, 1 deleted).
% 0.20/0.54 ; Trie-index has 453 nodes (453 at peak, 455 added, 2 deleted).
% 0.20/0.54 ; Retrieved 348 generalization terms in 329 calls.
% 0.20/0.54 ; Retrieved 81 instance terms in 79 calls.
% 0.20/0.54 ; Retrieved 6,987 unifiable terms in 617 calls.
% 0.20/0.54 ;
% 0.20/0.54 ; The agenda of rows to process has 41 entries:
% 0.20/0.54 ; 1 with value 8 10 with value 10 5 with value 12
% 0.20/0.54 ; 17 with value 9 6 with value 11 2 with value 13
% 0.20/0.54 ; The agenda of rows to give has 70 entries:
% 0.20/0.54 ; 4 with value (4 9) 16 with value (4 12) 2 with value (4 15)
% 0.20/0.54 ; 5 with value (4 10) 16 with value (4 13) 1 with value (4 17)
% 0.20/0.54 ; 12 with value (4 11) 14 with value (4 14)
% 0.20/0.54 Evaluation took:
% 0.20/0.54 0.052 seconds of real time
% 0.20/0.54 0.046488 seconds of user run time
% 0.20/0.54 0.005998 seconds of system run time
% 0.20/0.54 0 calls to %EVAL
% 0.20/0.54 0 page faults and
% 0.20/0.54 2,689,904 bytes consed.
% 0.20/0.54 :PROOF-FOUND
% 0.20/0.54 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T03:07:21
% 0.20/0.54 :PROOF-FOUND
% 0.20/0.54 *
%------------------------------------------------------------------------------