TSTP Solution File: GRP590-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GRP590-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n015.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 11:39:33 EDT 2022

% Result   : Unsatisfiable 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   10 (  10 unt;   0 nHn;   3 RR)
%            Number of literals    :   10 (   9 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :   10 (   3 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   :   17 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
    double_divide(inverse(double_divide(double_divide(X,Y),inverse(double_divide(X,inverse(Z))))),Y) = Z,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).

cnf(multiply,axiom,
    multiply(X,Y) = inverse(double_divide(Y,X)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).

cnf(prove_these_axioms_2,negated_conjecture,
    multiply(multiply(inverse(b2),b2),a2) != a2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).

cnf(4,plain,
    inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2))))) != a2,
    inference('REWRITE',[status(thm)],[prove_these_axioms_2,multiply,theory(equality)]) ).

cnf(5,plain,
    double_divide(inverse(double_divide(double_divide(inverse(double_divide(double_divide(X,inverse(Y)),inverse(double_divide(X,inverse(Z))))),U),inverse(Z))),U) = Y,
    inference('PARAMODULATE',[status(thm)],[single_axiom,single_axiom,theory(equality)]) ).

cnf(7,plain,
    double_divide(inverse(double_divide(X,inverse(X))),inverse(Y)) = Y,
    inference('PARAMODULATE',[status(thm)],[5,single_axiom,theory(equality)]) ).

cnf(13,plain,
    double_divide(inverse(double_divide(X,inverse(Y))),inverse(X)) = Y,
    inference('PARAMODULATE',[status(thm)],[5,7,theory(equality)]) ).

cnf(17,plain,
    double_divide(inverse(X),inverse(inverse(double_divide(Y,inverse(X))))) = Y,
    inference('PARAMODULATE',[status(thm)],[13,13,theory(equality)]) ).

cnf(29,plain,
    X = inverse(double_divide(X,inverse(double_divide(Y,inverse(Y))))),
    inference('PARAMODULATE',[status(thm)],[7,17,theory(equality)]) ).

cnf(30,plain,
    $false,
    inference('REWRITE',[status(thm)],[4,29,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP590-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n015.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon Jun 13 17:25:08 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-06-13T17:25:08
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-06-13T17:25:08
% 0.19/0.50  
% 0.19/0.50  
% 0.19/0.50  #||
% 0.19/0.50  % SZS status Unsatisfiable for /export/starexec/sandbox/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  ;        60 formulas have been input or derived (from 9 formulas).
% 0.19/0.50  ;        30 (50%) were retained.  Of these,
% 0.19/0.50  ;            2 ( 7%) were simplified or subsumed later,
% 0.19/0.50  ;           28 (93%) are still being kept.
% 0.19/0.50  ; 
% 0.19/0.50  ; Run time in seconds excluding printing time:
% 0.19/0.50  ;     0.001   3%   Read assertion file          (1 call)
% 0.19/0.50  ;     0.000   0%   Assert                       (3 calls)
% 0.19/0.50  ;     0.007  21%   Process new row              (45 calls)
% 0.19/0.50  ;     0.000   0%   Resolution                   (16 calls)
% 0.19/0.50  ;     0.002   6%   Paramodulation               (8 calls)
% 0.19/0.50  ;     0.001   3%   Forward simplification       (45 calls)
% 0.19/0.50  ;     0.000   0%   Backward simplification      (29 calls)
% 0.19/0.50  ;     0.001   3%   Ordering                     (134 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  ;     0.022  65%   Other
% 0.19/0.50  ;     0.034        Total
% 0.19/0.50  ;     0.035        Real time
% 0.19/0.50  ; 
% 0.19/0.50  ; Term-hash-array has 167 terms in all.
% 0.19/0.50  ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.19/0.50  ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.19/0.50  ; Path-index has 162 entries (169 at peak, 170 added, 8 deleted).
% 0.19/0.50  ; Path-index has 876 nodes (892 at peak, 893 added, 17 deleted).
% 0.19/0.50  ; Trie-index has 162 entries (169 at peak, 170 added, 8 deleted).
% 0.19/0.50  ; Trie-index has 1,102 nodes (1,131 at peak, 1,132 added, 30 deleted).
% 0.19/0.50  ; Retrieved 68 generalization terms in 194 calls.
% 0.19/0.50  ; Retrieved 75 instance terms in 28 calls.
% 0.19/0.50  ; Retrieved 190 unifiable terms in 71 calls.
% 0.19/0.50  ; 
% 0.19/0.50  ; The agenda of rows to process has 13 entries:
% 0.19/0.50  ;     3 with value 21              1 with value 27               1 with value 37
% 0.19/0.50  ;     2 with value 23              1 with value 29               2 with value 38
% 0.19/0.50  ;     1 with value 24              1 with value 30               1 with value 39
% 0.19/0.50  ; The agenda of rows to give has 20 entries:
% 0.19/0.50  ;     2 with value (4 21)          1 with value (4 30)           1 with value (4 43)
% 0.19/0.50  ;     2 with value (4 23)          1 with value (4 33)           2 with value (4 44)
% 0.19/0.50  ;     1 with value (4 25)          1 with value (4 37)           1 with value (4 53)
% 0.19/0.50  ;     3 with value (4 26)          1 with value (4 38)           1 with value (4 54)
% 0.19/0.50  ;     2 with value (4 29)          1 with value (4 39)
% 0.19/0.50  Evaluation took:
% 0.19/0.50    0.037 seconds of real time
% 0.19/0.50    0.03319 seconds of user run time
% 0.19/0.50    0.003037 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    2,489,280 bytes consed.
% 0.19/0.50  :PROOF-FOUND
% 0.19/0.50  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T17:25:08
% 0.19/0.50  :PROOF-FOUND
% 0.19/0.50  * 
%------------------------------------------------------------------------------