TSTP Solution File: GRP665-10 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GRP665-10 : TPTP v8.1.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n017.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 11:40:11 EDT 2022

% Result   : Unsatisfiable 0.39s 0.55s
% Output   : Refutation 0.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    7 (   7 unt;   0 nHn;   3 RR)
%            Number of literals    :    7 (   6 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :    7 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(f02,axiom,
    ld(X,mult(X,Y)) = Y,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).

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

cnf(f09,axiom,
    mult(op_c,X) = mult(X,op_c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f09) ).

cnf(goal,negated_conjecture,
    mult(op_c,mult(x0,x1)) != mult(mult(op_c,x0),x1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).

cnf(15,plain,
    ld(op_c,mult(X,op_c)) = X,
    inference('PARAMODULATE',[status(thm)],[f02,f09,theory(equality)]) ).

cnf(23,plain,
    mult(mult(x0,op_c),x1) != mult(mult(op_c,x0),x1),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[goal,f09,theory(equality)]),15,f08,theory(equality)]) ).

cnf(87,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[23,f09,theory(equality)]),theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP665-10 : TPTP v8.1.0. Released v8.1.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n017.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 14:03:08 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 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 2022-06-13T14:03:08
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-06-13T14:03:08
% 0.20/0.49  
% 0.20/0.49  ; Recognized right identity assertion (= (|mult| ?X |unit|) ?X).
% 0.39/0.55  ; Recognized left identity assertion (= (|mult| |unit| ?X) ?X).
% 0.39/0.55  
% 0.39/0.55  #||
% 0.39/0.55  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/0.55  % SZS output start Refutation
% See solution above
% 0.39/0.55  ||#
% 0.39/0.55  
% 0.39/0.55  ; Summary of computation:
% 0.39/0.55  ;       226 formulas have been input or derived (from 25 formulas).
% 0.39/0.55  ;        87 (38%) were retained.  Of these,
% 0.39/0.55  ;            5 ( 6%) were simplified or subsumed later,
% 0.39/0.55  ;           82 (94%) are still being kept.
% 0.39/0.55  ; 
% 0.39/0.55  ; Run time in seconds:
% 0.39/0.55  ;     0.002   3%   Read assertion file          (1 call)
% 0.39/0.55  ;     0.000   0%   Assert                       (10 calls)
% 0.39/0.55  ;     0.008  11%   Process new row              (216 calls)
% 0.39/0.55  ;     0.000   0%   Resolution                   (48 calls)
% 0.39/0.55  ;     0.006   9%   Paramodulation               (24 calls)
% 0.39/0.55  ;     0.014  20%   Forward simplification       (216 calls)
% 0.39/0.55  ;     0.008  11%   Backward simplification      (87 calls)
% 0.39/0.55  ;     0.008  11%   Ordering                     (978 calls)
% 0.39/0.55  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.39/0.55  ;     0.000   0%   Purity testing               (1 call)
% 0.39/0.55  ;     0.024  34%   Other
% 0.39/0.55  ;     0.070        Total
% 0.39/0.55  ;     0.071        Real time
% 0.39/0.55  ; 
% 0.39/0.55  ; Term-hash-array has 292 terms in all.
% 0.39/0.55  ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.39/0.55  ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.39/0.55  ; Path-index has 286 entries (286 at peak, 296 added, 10 deleted).
% 0.39/0.55  ; Path-index has 788 nodes (788 at peak, 795 added, 7 deleted).
% 0.39/0.55  ; Trie-index has 286 entries (286 at peak, 296 added, 10 deleted).
% 0.39/0.55  ; Trie-index has 1,489 nodes (1,489 at peak, 1,527 added, 38 deleted).
% 0.39/0.55  ; Retrieved 1,054 generalization terms in 1,068 calls.
% 0.39/0.55  ; Retrieved 255 instance terms in 160 calls.
% 0.39/0.55  ; Retrieved 713 unifiable terms in 147 calls.
% 0.39/0.55  ; 
% 0.39/0.55  ; The agenda of rows to process has 3 entries:
% 0.39/0.55  ;     1 with value 16              2 with value 21
% 0.39/0.55  ; The agenda of rows to give has 58 entries:
% 0.39/0.55  ;     9 with value (4 15)          2 with value (4 24)           6 with value (4 33)
% 0.39/0.55  ;     1 with value (4 16)          1 with value (4 25)           2 with value (4 34)
% 0.39/0.55  ;     3 with value (4 17)          8 with value (4 29)           3 with value (4 37)
% 0.39/0.55  ;    12 with value (4 20)          4 with value (4 30)           2 with value (4 38)
% 0.39/0.55  ;     5 with value (4 21)
% 0.39/0.55  Evaluation took:
% 0.39/0.55    0.072 seconds of real time
% 0.39/0.55    0.060973 seconds of user run time
% 0.39/0.55    0.010702 seconds of system run time
% 0.39/0.55    0 calls to %EVAL
% 0.39/0.55    0 page faults and
% 0.39/0.55    3,271,592 bytes consed.
% 0.39/0.55  :PROOF-FOUND
% 0.39/0.55  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T14:03:08
% 0.39/0.55  :PROOF-FOUND
% 0.39/0.55  * 
%------------------------------------------------------------------------------