TSTP Solution File: GRP460-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GRP460-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n024.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 11:38:58 EDT 2022

% Result   : Unsatisfiable 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    6 (   6 unt;   0 nHn;   2 RR)
%            Number of literals    :    6 (   5 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :    6 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(multiply,axiom,
    multiply(X,Y) = divide(X,divide(identity,Y)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).

cnf(inverse,axiom,
    inverse(X) = divide(identity,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).

cnf(identity,axiom,
    identity = divide(X,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).

cnf(prove_these_axioms_1,negated_conjecture,
    multiply(inverse(a1),a1) != identity,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_1) ).

cnf(7,plain,
    multiply(X,Y) = divide(X,inverse(Y)),
    inference('REWRITE',[status(thm)],[multiply,inverse,theory(equality)]) ).

cnf(8,plain,
    $false,
    inference('REWRITE',[status(thm)],[prove_these_axioms_1,identity,7,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GRP460-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.13  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n024.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 06:43:48 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.19/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47  * 
% 0.19/0.47  * 
% 0.19/0.48  #<PACKAGE "SNARK-USER">
% 0.19/0.48  * 
% 0.19/0.48  SNARK-TPTP-OPTIONS
% 0.19/0.48  * 
% 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 2022-06-14T06:43:48
% 0.19/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-06-14T06:43:48
% 0.19/0.51  
% 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  ;         8 formulas have been input or derived (from 1 formulas).
% 0.19/0.51  ;         8 (100%) were retained.  Of these,
% 0.19/0.51  ;            3 (38%) were simplified or subsumed later,
% 0.19/0.51  ;            5 (62%) are still being kept.
% 0.19/0.51  ; 
% 0.19/0.51  ; Run time in seconds excluding printing time:
% 0.19/0.51  ;     0.001   4%   Read assertion file          (1 call)
% 0.19/0.51  ;     0.001   4%   Assert                       (5 calls)
% 0.19/0.51  ;     0.001   4%   Process new row              (8 calls)
% 0.19/0.51  ;     0.000   0%   Forward simplification       (8 calls)
% 0.19/0.51  ;     0.000   0%   Backward simplification      (8 calls)
% 0.19/0.51  ;     0.000   0%   Ordering                     (6 calls)
% 0.19/0.51  ;     0.001   4%   Sortal reasoning             (32 calls)
% 0.19/0.51  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.51  ;     0.021  84%   Other
% 0.19/0.51  ;     0.025        Total
% 0.19/0.51  ;     0.026        Real time
% 0.19/0.51  ; 
% 0.19/0.51  ; Term-hash-array has 26 terms in all.
% 0.19/0.51  ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.19/0.51  ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.19/0.51  ; Path-index has 16 entries (19 at peak, 31 added, 15 deleted).
% 0.19/0.51  ; Path-index has 100 nodes (105 at peak, 138 added, 38 deleted).
% 0.19/0.51  ; Trie-index has 16 entries (19 at peak, 31 added, 15 deleted).
% 0.19/0.51  ; Trie-index has 64 nodes (79 at peak, 139 added, 75 deleted).
% 0.19/0.51  ; Retrieved 8 generalization terms in 17 calls.
% 0.19/0.51  ; Retrieved 10 instance terms in 7 calls.
% 0.19/0.51  ; 
% 0.19/0.51  ; The agenda of input rows to give has 4 entries:
% 0.19/0.51  ;     1 with value 7               1 with value 11               1 with value 18
% 0.19/0.51  ;     1 with value 8
% 0.19/0.51  Evaluation took:
% 0.19/0.51    0.026 seconds of real time
% 0.19/0.51    0.023332 seconds of user run time
% 0.19/0.51    0.003155 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    1,461,064 bytes consed.
% 0.19/0.51  :PROOF-FOUND
% 0.19/0.51  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T06:43:48
% 0.19/0.51  :PROOF-FOUND
% 0.19/0.51  * 
%------------------------------------------------------------------------------