TSTP Solution File: GRP703-10 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GRP703-10 : TPTP v8.1.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n005.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 11:40:25 EDT 2022

% Result   : Unsatisfiable 0.35s 0.53s
% Output   : Refutation 0.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    6
% Syntax   : Number of clauses     :    8 (   8 unt;   0 nHn;   3 RR)
%            Number of literals    :    8 (   7 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :    8 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(f03,axiom,
    mult(rd(X,Y),Y) = X,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).

cnf(f05,axiom,
    mult(X,unit) = X,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).

cnf(f06,axiom,
    mult(unit,X) = X,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f06) ).

cnf(f08,axiom,
    mult(op_c,mult(X,Y)) = mult(mult(op_c,X),Y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f08) ).

cnf(f12,axiom,
    op_e = mult(mult(rd(op_c,mult(X,Y)),Y),X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f12) ).

cnf(goal,negated_conjecture,
    mult(op_e,mult(x2,x3)) != mult(mult(op_e,x2),x3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).

cnf(62,plain,
    op_e = op_c,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[f05,f12,theory(equality)]),f03,f06,theory(equality)]) ).

cnf(64,plain,
    $false,
    inference('REWRITE',[status(thm)],[goal,f08,62,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP703-10 : TPTP v8.1.0. Released v8.1.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n005.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 10:55:39 EDT 2022
% 0.13/0.35  % 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 2022-06-14T10:55:39
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-06-14T10:55:39
% 0.20/0.50  
% 0.20/0.50  ; Recognized right identity assertion (= (|mult| ?X |unit|) ?X).
% 0.35/0.53  ; Recognized left identity assertion (= (|mult| |unit| ?X) ?X).
% 0.35/0.53  
% 0.35/0.53  #||
% 0.35/0.53  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/0.53  % SZS output start Refutation
% See solution above
% 0.35/0.53  ||#
% 0.35/0.53  
% 0.35/0.53  ; Summary of computation:
% 0.35/0.53  ;       152 formulas have been input or derived (from 14 formulas).
% 0.35/0.53  ;        64 (42%) were retained.  Of these,
% 0.35/0.53  ;            9 (14%) were simplified or subsumed later,
% 0.35/0.53  ;           55 (86%) are still being kept.
% 0.35/0.53  ; 
% 0.35/0.53  ; Run time in seconds excluding printing time:
% 0.35/0.53  ;     0.003   7%   Read assertion file          (1 call)
% 0.35/0.53  ;     0.000   0%   Assert                       (14 calls)
% 0.35/0.53  ;     0.009  21%   Process new row              (127 calls)
% 0.35/0.53  ;     0.000   0%   Resolution                   (26 calls)
% 0.35/0.53  ;     0.004   9%   Paramodulation               (13 calls)
% 0.35/0.53  ;     0.003   7%   Forward simplification       (124 calls)
% 0.35/0.53  ;     0.002   5%   Backward simplification      (64 calls)
% 0.35/0.53  ;     0.000   0%   Ordering                     (434 calls)
% 0.35/0.53  ;     0.001   2%   Sortal reasoning             (32 calls)
% 0.35/0.53  ;     0.000   0%   Purity testing               (1 call)
% 0.35/0.53  ;     0.021  49%   Other
% 0.35/0.53  ;     0.043        Total
% 0.35/0.53  ;     0.045        Real time
% 0.35/0.53  ; 
% 0.35/0.53  ; Term-hash-array has 174 terms in all.
% 0.35/0.53  ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.35/0.53  ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.35/0.53  ; Path-index has 157 entries (174 at peak, 187 added, 30 deleted).
% 0.35/0.53  ; Path-index has 393 nodes (407 at peak, 421 added, 28 deleted).
% 0.35/0.53  ; Trie-index has 157 entries (174 at peak, 187 added, 30 deleted).
% 0.35/0.53  ; Trie-index has 644 nodes (722 at peak, 767 added, 123 deleted).
% 0.35/0.53  ; Retrieved 263 generalization terms in 446 calls.
% 0.35/0.53  ; Retrieved 111 instance terms in 91 calls.
% 0.35/0.53  ; Retrieved 366 unifiable terms in 84 calls.
% 0.35/0.53  ; 
% 0.35/0.53  ; The agenda of rows to process has 24 entries:
% 0.35/0.53  ;     3 with value 14              1 with value 17               8 with value 22
% 0.35/0.53  ;     5 with value 16              3 with value 21               4 with value 23
% 0.35/0.53  ; The agenda of input rows to give has 3 entries:
% 0.35/0.53  ;     2 with value 16              1 with value 19
% 0.35/0.53  ; The agenda of rows to give has 41 entries:
% 0.35/0.53  ;     2 with value (4 5)           3 with value (4 11)          17 with value (4 16)
% 0.35/0.53  ;     4 with value (4 8)           4 with value (4 15)          10 with value (4 20)
% 0.35/0.53  ;     1 with value (4 10)
% 0.35/0.53  Evaluation took:
% 0.35/0.53    0.046 seconds of real time
% 0.35/0.53    0.042396 seconds of user run time
% 0.35/0.53    0.00287 seconds of system run time
% 0.35/0.53    0 calls to %EVAL
% 0.35/0.53    0 page faults and
% 0.35/0.53    2,382,912 bytes consed.
% 0.35/0.53  :PROOF-FOUND
% 0.35/0.53  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T10:55:39
% 0.35/0.53  :PROOF-FOUND
% 0.35/0.53  * 
%------------------------------------------------------------------------------