TSTP Solution File: GRP700-10 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GRP700-10 : TPTP v8.1.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n025.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 11:40:23 EDT 2022

% Result   : Unsatisfiable 0.55s 0.77s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   14 (  14 unt;   0 nHn;   3 RR)
%            Number of literals    :   14 (  13 equ;   2 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    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   20 (   0 sgn)

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

cnf(f04,axiom,
    rd(mult(X,Y),Y) = X,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).

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(f07,axiom,
    mult(mult(mult(X,Y),X),mult(X,Z)) = mult(X,mult(mult(mult(Y,X),X),Z)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f07) ).

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

cnf(14,plain,
    rd(X,X) = unit,
    inference('PARAMODULATE',[status(thm)],[f04,f06,theory(equality)]) ).

cnf(17,plain,
    tuple(X,mult(x0,rd(X,x0))) != tuple(unit,unit),
    inference('PARAMODULATE',[status(thm)],[goal,f03,theory(equality)]) ).

cnf(20,plain,
    mult(mult(mult(X,Y),X),X) = mult(X,mult(mult(Y,X),X)),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[f07,f05,theory(equality)]),f05,theory(equality)]) ).

cnf(72,plain,
    rd(mult(X,mult(mult(Y,X),X)),X) = mult(mult(X,Y),X),
    inference('PARAMODULATE',[status(thm)],[f04,20,theory(equality)]) ).

cnf(236,plain,
    rd(mult(X,mult(Y,X)),X) = mult(mult(X,rd(Y,X)),X),
    inference('PARAMODULATE',[status(thm)],[72,f03,theory(equality)]) ).

cnf(548,plain,
    X = mult(mult(X,rd(unit,X)),X),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[236,f06,theory(equality)]),f04,theory(equality)]) ).

cnf(594,plain,
    unit = mult(X,rd(unit,X)),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[f04,548,theory(equality)]),14,theory(equality)]) ).

cnf(596,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[17,594,theory(equality)]),theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP700-10 : TPTP v8.1.0. Released v8.1.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n025.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 : Tue Jun 14 02:26:09 EDT 2022
% 0.12/0.34  % 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 2022-06-14T02:26:09
% 0.19/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-14T02:26:09
% 0.19/0.49  
% 0.19/0.49  ; Recognized right identity assertion (= (|mult| ?X |unit|) ?X).
% 0.55/0.77  ; Recognized left identity assertion (= (|mult| |unit| ?X) ?X).
% 0.55/0.77  
% 0.55/0.77  #||
% 0.55/0.77  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.55/0.77  % SZS output start Refutation
% See solution above
% 0.55/0.77  ||#
% 0.55/0.77  
% 0.55/0.77  ; Summary of computation:
% 0.55/0.77  ;      1420 formulas have been input or derived (from 62 formulas).
% 0.55/0.77  ;       596 (42%) were retained.  Of these,
% 0.55/0.77  ;          152 (26%) were simplified or subsumed later,
% 0.55/0.77  ;          444 (74%) are still being kept.
% 0.55/0.77  ; 
% 0.55/0.77  ; Run time in seconds excluding printing time:
% 0.55/0.77  ;     0.001   0%   Read assertion file          (1 call)
% 0.55/0.77  ;     0.001   0%   Assert                       (9 calls)
% 0.55/0.77  ;     0.079  27%   Process new row              (1,345 calls)
% 0.55/0.77  ;     0.001   0%   Resolution                   (122 calls)
% 0.55/0.77  ;     0.040  14%   Paramodulation               (61 calls)
% 0.55/0.77  ;     0.084  29%   Forward simplification       (1,191 calls)
% 0.55/0.77  ;     0.026   9%   Backward simplification      (596 calls)
% 0.55/0.77  ;     0.031  11%   Ordering                     (4,740 calls)
% 0.55/0.77  ;     0.001   0%   Sortal reasoning             (32 calls)
% 0.55/0.77  ;     0.000   0%   Purity testing               (1 call)
% 0.55/0.77  ;     0.024   8%   Other
% 0.55/0.77  ;     0.288        Total
% 0.55/0.77  ;     0.290        Real time
% 0.55/0.77  ; 
% 0.55/0.77  ; Term-hash-array has 1,927 terms in all.
% 0.55/0.77  ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.55/0.77  ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.55/0.77  ; Path-index has 1,577 entries (1,581 at peak, 2,004 added, 427 deleted).
% 0.55/0.77  ; Path-index has 4,807 nodes (4,809 at peak, 5,141 added, 334 deleted).
% 0.55/0.77  ; Trie-index has 1,577 entries (1,581 at peak, 2,004 added, 427 deleted).
% 0.55/0.77  ; Trie-index has 15,174 nodes (15,200 at peak, 18,951 added, 3,777 deleted).
% 0.55/0.77  ; Retrieved 17,212 generalization terms in 13,895 calls.
% 0.55/0.77  ; Retrieved 4,830 instance terms in 645 calls.
% 0.55/0.77  ; Retrieved 9,542 unifiable terms in 408 calls.
% 0.55/0.77  ; 
% 0.55/0.77  ; The agenda of rows to process has 30 entries:
% 0.55/0.77  ;     1 with value 15              4 with value 25               1 with value 31
% 0.55/0.77  ;     2 with value 16              5 with value 26               6 with value 34
% 0.55/0.77  ;     1 with value 18              3 with value 27               2 with value 35
% 0.55/0.77  ;     2 with value 20              1 with value 30               1 with value 38
% 0.55/0.77  ;     1 with value 21
% 0.55/0.77  ; The agenda of rows to give has 391 entries:
% 0.55/0.77  ;     7 with value (4 22)         23 with value (4 35)          36 with value (4 48)
% 0.55/0.77  ;     7 with value (4 23)          9 with value (4 36)          29 with value (4 49)
% 0.55/0.77  ;     6 with value (4 24)          8 with value (4 37)           2 with value (4 50)
% 0.55/0.77  ;     7 with value (4 25)          4 with value (4 38)           2 with value (4 51)
% 0.55/0.77  ;    10 with value (4 26)          7 with value (4 39)          13 with value (4 52)
% 0.55/0.77  ;    18 with value (4 27)          4 with value (4 40)           4 with value (4 53)
% 0.55/0.77  ;     8 with value (4 28)         26 with value (4 41)           3 with value (4 54)
% 0.55/0.77  ;     3 with value (4 29)         12 with value (4 42)           2 with value (4 56)
% 0.55/0.77  ;    13 with value (4 30)          2 with value (4 43)          17 with value (4 57)
% 0.55/0.77  ;    27 with value (4 31)          3 with value (4 44)           4 with value (4 60)
% 0.55/0.77  ;    25 with value (4 32)          1 with value (4 45)          12 with value (4 61)
% 0.55/0.77  ;    11 with value (4 33)          3 with value (4 46)           2 with value (4 62)
% 0.55/0.77  ;     2 with value (4 34)         17 with value (4 47)           2 with value (4 63)
% 0.55/0.77  Evaluation took:
% 0.55/0.77    0.291 seconds of real time
% 0.55/0.77    0.273268 seconds of user run time
% 0.55/0.77    0.017092 seconds of system run time
% 0.55/0.77    [Run times include 0.012 seconds GC run time.]
% 0.55/0.77    0 calls to %EVAL
% 0.55/0.77    0 page faults and
% 0.55/0.77    19,448,144 bytes consed.
% 0.55/0.77  :PROOF-FOUND
% 0.55/0.77  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T02:26:09
% 0.55/0.77  :PROOF-FOUND
% 0.55/0.77  * 
%------------------------------------------------------------------------------