TSTP Solution File: KLE074+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : KLE074+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n008.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 : Sun Jul 17 02:26:31 EDT 2022

% Result   : Theorem 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    4 (   4 unt;   0 nHn;   2 RR)
%            Number of literals    :    4 (   3 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    6 (   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   :    5 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(4,axiom,
    multiplication(X,multiplication(Y,Z)) = multiplication(multiplication(X,Y),Z),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_associativity) ).

cnf(15,axiom,
    domain(multiplication(X,Y)) = domain(multiplication(X,domain(Y))),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+5.ax',domain2) ).

cnf(21,negated_conjecture,
    domain(multiplication(multiplication('SKOLEMAAAV1','SKOLEMAAAV2'),domain('SKOLEMAAAV3'))) != domain(multiplication('SKOLEMAAAV1',domain(multiplication('SKOLEMAAAV2',domain('SKOLEMAAAV3'))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

cnf(22,plain,
    $false,
    inference('REWRITE',[status(thm)],[21,4,15,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : KLE074+1 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n008.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 : Thu Jun 16 09:37:22 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-06-16T09:37:22
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-06-16T09:37:22
% 0.20/0.49  
% 0.20/0.49  ; Recognized commutativity assertion (= (|addition| ?X ?Y) (|addition| ?Y ?X)).
% 0.20/0.49  ; Recognized associativity assertion (= (|addition| ?X (|addition| ?Y ?Z)) (|addition| (|addition| ?X ?Y) ?Z)).
% 0.20/0.49  ; Recognized right identity assertion (= (|addition| ?X |zero|) ?X).
% 0.20/0.49  ; Recognized associativity assertion (= (|multiplication| ?X (|multiplication| ?Y ?Z)) (|multiplication| (|multiplication| ?X ?Y) ?Z)).
% 0.20/0.49  ; Recognized right identity assertion (= (|multiplication| ?X |one|) ?X).
% 0.20/0.49  ; Recognized left identity assertion (= (|multiplication| |one| ?X) ?X).
% 0.20/0.49  ; Declaring addition to be commutative.
% 0.20/0.51  ; Declaring addition to be associative-commutative.
% 0.20/0.51  
% 0.20/0.51  #||
% 0.20/0.51  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.51  % SZS output start Refutation
% See solution above
% 0.20/0.51  ||#
% 0.20/0.51  
% 0.20/0.51  ; Summary of computation:
% 0.20/0.51  ;        24 formulas have been input or derived (from 1 formulas).
% 0.20/0.51  ;        22 (92%) were retained.  Of these,
% 0.20/0.51  ;            1 ( 5%) were simplified or subsumed later,
% 0.20/0.51  ;           21 (95%) are still being kept.
% 0.20/0.51  ; 
% 0.20/0.51  ; Run time in seconds:
% 0.20/0.51  ;     0.004  12%   Read assertion file          (1 call)
% 0.20/0.51  ;     0.002   6%   Assert                       (18 calls)
% 0.20/0.51  ;     0.000   0%   Process new row              (23 calls)
% 0.20/0.51  ;     0.000   0%   Embedding                    (7 calls)
% 0.20/0.51  ;     0.001   3%   Condensing                   (2 calls)
% 0.20/0.51  ;     0.000   0%   Forward subsumption          (2 calls)
% 0.20/0.51  ;     0.000   0%   Backward subsumption         (2 calls)
% 0.20/0.51  ;     0.001   3%   Forward simplification       (19 calls)
% 0.20/0.51  ;     0.000   0%   Backward simplification      (17 calls)
% 0.20/0.51  ;     0.001   3%   Ordering                     (28 calls)
% 0.20/0.51  ;     0.000   0%   Ordering ac                  (2 calls)
% 0.20/0.51  ;     0.001   3%   Sortal reasoning             (32 calls)
% 0.20/0.51  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.51  ;     0.022  69%   Other
% 0.20/0.51  ;     0.032        Total
% 0.20/0.51  ;     0.033        Real time
% 0.20/0.51  ; 
% 0.20/0.51  ; Term-hash-array has 55 terms in all.
% 0.20/0.51  ; Feature-vector-row-index has 2 entries (2 at peak, 2 added, 0 deleted).
% 0.20/0.51  ; Feature-vector-row-index has 7 nodes (7 at peak, 7 added, 0 deleted).
% 0.20/0.51  ;  Retrieved 0 possibly forward subsuming rows in 2 calls.
% 0.20/0.51  ;  Retrieved 0 possibly backward subsumed rows in 2 calls.
% 0.20/0.51  ; Path-index has 60 entries (60 at peak, 60 added, 0 deleted).
% 0.20/0.51  ; Path-index has 120 nodes (120 at peak, 120 added, 0 deleted).
% 0.20/0.51  ; Trie-index has 60 entries (60 at peak, 60 added, 0 deleted).
% 0.20/0.51  ; Trie-index has 90 nodes (90 at peak, 90 added, 0 deleted).
% 0.20/0.51  ; Retrieved 33 generalization terms in 60 calls.
% 0.20/0.51  ; Retrieved 19 instance terms in 16 calls.
% 0.20/0.51  ; 
% 0.20/0.51  ; The agenda of input rows to give has 20 entries:
% 0.20/0.51  ;     1 with value 6               2 with value 11               2 with value 15
% 0.20/0.51  ;     7 with value 7               2 with value 13               2 with value 16
% 0.20/0.51  ;     2 with value 9               2 with value 14
% 0.20/0.51  Evaluation took:
% 0.20/0.51    0.033 seconds of real time
% 0.20/0.51    0.027111 seconds of user run time
% 0.20/0.51    0.006052 seconds of system run time
% 0.20/0.51    0 calls to %EVAL
% 0.20/0.51    0 page faults and
% 0.20/0.51    1,686,144 bytes consed.
% 0.20/0.51  :PROOF-FOUND
% 0.20/0.51  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T09:37:22
% 0.20/0.51  :PROOF-FOUND
% 0.20/0.51  * 
%------------------------------------------------------------------------------