TSTP Solution File: GRP028-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP028-3 : TPTP v8.1.0. Released v1.1.0.
% 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 11:35:20 EDT 2022
% Result : Unsatisfiable 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 4
% Syntax : Number of clauses : 5 ( 4 unt; 0 nHn; 3 RR)
% Number of literals : 8 ( 0 equ; 4 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; 0 con; 1-2 aty)
% Number of variables : 11 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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_soln,hypothesis,
product(left_solution(X,Y),X,Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_soln) ).
cnf(right_soln,hypothesis,
product(X,right_solution(X,Y),Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_soln) ).
cnf(prove_there_is_a_right_identity,negated_conjecture,
~ product(not_identity(X),X,not_identity(X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_there_is_a_right_identity) ).
cnf(36,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[associativity2,left_soln,right_soln,left_soln,prove_there_is_a_right_identity]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP028-3 : TPTP v8.1.0. Released v1.1.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n027.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 : Mon Jun 13 04:59:02 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T04:59:02
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-13T04:59:02
% 0.19/0.49
% 0.19/0.49 ; Recognized relation function assertion (|product| ?X ?Y (|multiply| ?X ?Y)).
% 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)).
% 0.19/0.51 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?X ?V ?W)) (|product| ?Z ?U ?W)).
% 0.19/0.51
% 0.19/0.51 #||
% 0.19/0.51 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.51 % SZS output start Refutation
% See solution above
% 0.19/0.51 ||#
% 0.19/0.51
% 0.19/0.51 ; Summary of computation:
% 0.19/0.51 ; 100 formulas have been input or derived (from 7 formulas).
% 0.19/0.51 ; 36 (36%) were retained. Of these,
% 0.19/0.51 ; 36 (100%) are still being kept.
% 0.19/0.51 ;
% 0.19/0.51 ; Run time in seconds:
% 0.19/0.51 ; 0.001 3% Read assertion file (1 call)
% 0.19/0.51 ; 0.001 3% Assert (6 calls)
% 0.19/0.51 ; 0.003 9% Process new row (51 calls)
% 0.19/0.51 ; 0.003 9% Resolution (12 calls)
% 0.19/0.51 ; 0.000 0% Paramodulation (6 calls)
% 0.19/0.51 ; 0.000 0% Condensing (2 calls)
% 0.19/0.51 ; 0.000 0% Forward subsumption (2 calls)
% 0.19/0.51 ; 0.000 0% Backward subsumption (2 calls)
% 0.19/0.51 ; 0.000 0% Clause clause subsumption (2 calls)
% 0.19/0.51 ; 0.001 3% Forward simplification (51 calls)
% 0.19/0.51 ; 0.001 3% Backward simplification (36 calls)
% 0.19/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.51 ; 0.000 0% Purity testing (1 call)
% 0.19/0.51 ; 0.022 69% Other
% 0.19/0.51 ; 0.032 Total
% 0.19/0.51 ; 0.033 Real time
% 0.19/0.51 ;
% 0.19/0.51 ; Term-hash-array has 91 terms in all.
% 0.19/0.51 ; Feature-vector-row-index has 2 entries (2 at peak, 2 added, 0 deleted).
% 0.19/0.51 ; Feature-vector-row-index has 3 nodes (3 at peak, 3 added, 0 deleted).
% 0.19/0.51 ; Retrieved 1 possibly forward subsuming row in 2 calls.
% 0.19/0.51 ; Retrieved 1 possibly backward subsumed row in 2 calls.
% 0.19/0.51 ; Path-index has 91 entries (91 at peak, 91 added, 0 deleted).
% 0.19/0.51 ; Path-index has 299 nodes (299 at peak, 299 added, 0 deleted).
% 0.19/0.51 ; Trie-index has 91 entries (91 at peak, 91 added, 0 deleted).
% 0.19/0.51 ; Trie-index has 323 nodes (323 at peak, 323 added, 0 deleted).
% 0.19/0.51 ; Retrieved 45 generalization terms in 55 calls.
% 0.19/0.51 ; Retrieved 34 instance terms in 33 calls.
% 0.19/0.51 ; Retrieved 1,612 unifiable terms in 176 calls.
% 0.19/0.51 ;
% 0.19/0.51 ; The agenda of rows to process has 45 entries:
% 0.19/0.51 ; 1 with value 6 1 with value 13 16 with value 15
% 0.19/0.51 ; 1 with value 9 23 with value 14 2 with value 17
% 0.19/0.51 ; 1 with value 11
% 0.19/0.51 ; The agenda of rows to give has 29 entries:
% 0.19/0.51 ; 1 with value (4 9) 15 with value (4 14) 2 with value (4 17)
% 0.19/0.51 ; 1 with value (4 13) 10 with value (4 15)
% 0.19/0.51 Evaluation took:
% 0.19/0.51 0.034 seconds of real time
% 0.19/0.51 0.029117 seconds of user run time
% 0.19/0.51 0.003902 seconds of system run time
% 0.19/0.51 0 calls to %EVAL
% 0.19/0.51 0 page faults and
% 0.19/0.51 1,801,352 bytes consed.
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T04:59:02
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 *
%------------------------------------------------------------------------------