TSTP Solution File: RNG023-6 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : RNG023-6 : TPTP v8.1.0. Released v1.0.0.
% 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 : Mon Jul 18 20:40:35 EDT 2022

% Result   : Unsatisfiable 0.19s 0.50s
% Output   : Refutation 0.19s
% 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    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-3 aty)
%            Number of variables   :    5 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(left_alternative,axiom,
    multiply(multiply(X,X),Y) = multiply(X,multiply(X,Y)),
    file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',left_alternative) ).

cnf(associator,axiom,
    associator(X,Y,Z) = add(multiply(multiply(X,Y),Z),additive_inverse(multiply(X,multiply(Y,Z)))),
    file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',associator) ).

cnf(prove_left_alternative,negated_conjecture,
    associator(x,x,y) != additive_identity,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_left_alternative) ).

cnf(15,plain,
    $false,
    inference('REWRITE',[status(thm)],[prove_left_alternative,left_alternative,associator,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : RNG023-6 : TPTP v8.1.0. Released v1.0.0.
% 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 : Mon May 30 12:48:27 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-05-30T12:48:27
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-05-30T12:48:27
% 0.19/0.48  
% 0.19/0.48  ; Recognized left identity assertion (= (|add| |additive_identity| ?X) ?X).
% 0.19/0.48  ; Recognized right identity assertion (= (|add| ?X |additive_identity|) ?X).
% 0.19/0.48  ; Recognized possible left inverse assertion (= (|add| (|additive_inverse| ?X) ?X) |additive_identity|).
% 0.19/0.48  ; Recognized possible right inverse assertion (= (|add| ?X (|additive_inverse| ?X)) |additive_identity|).
% 0.19/0.48  ; Recognized commutativity assertion (= (|add| ?X ?Y) (|add| ?Y ?X)).
% 0.19/0.48  ; Recognized associativity assertion (= (|add| ?X (|add| ?Y ?Z)) (|add| (|add| ?X ?Y) ?Z)).
% 0.19/0.48  ; Declaring add to be commutative.
% 0.19/0.50  ; Declaring add to be associative-commutative.
% 0.19/0.50  
% 0.19/0.50  #||
% 0.19/0.50  % SZS status Unsatisfiable for /export/starexec/sandbox2/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  ;        19 formulas have been input or derived (from 1 formulas).
% 0.19/0.50  ;        15 (79%) were retained.  Of these,
% 0.19/0.50  ;            1 ( 7%) were simplified or subsumed later,
% 0.19/0.50  ;           14 (93%) are still being kept.
% 0.19/0.50  ; 
% 0.19/0.50  ; Run time in seconds excluding printing time:
% 0.19/0.50  ;     0.003  11%   Read assertion file          (1 call)
% 0.19/0.50  ;     0.001   4%   Assert                       (16 calls)
% 0.19/0.50  ;     0.000   0%   Process new row              (18 calls)
% 0.19/0.50  ;     0.000   0%   Embedding                    (6 calls)
% 0.19/0.50  ;     0.002   7%   Forward simplification       (16 calls)
% 0.19/0.50  ;     0.000   0%   Backward simplification      (12 calls)
% 0.19/0.50  ;     0.000   0%   Ordering                     (26 calls)
% 0.19/0.50  ;     0.001   4%   Sortal reasoning             (32 calls)
% 0.19/0.50  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.50  ;     0.021  75%   Other
% 0.19/0.50  ;     0.028        Total
% 0.19/0.50  ;     0.029        Real time
% 0.19/0.50  ; 
% 0.19/0.50  ; Term-hash-array has 49 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 52 entries (52 at peak, 52 added, 0 deleted).
% 0.19/0.50  ; Path-index has 150 nodes (150 at peak, 150 added, 0 deleted).
% 0.19/0.50  ; Trie-index has 52 entries (52 at peak, 52 added, 0 deleted).
% 0.19/0.50  ; Trie-index has 77 nodes (77 at peak, 77 added, 0 deleted).
% 0.19/0.50  ; Retrieved 30 generalization terms in 44 calls.
% 0.19/0.50  ; Retrieved 19 instance terms in 15 calls.
% 0.19/0.50  ; 
% 0.19/0.50  ; The agenda of input rows to give has 13 entries:
% 0.19/0.50  ;     3 with value 7               2 with value 9                4 with value 16
% 0.19/0.50  ;     1 with value 8               2 with value 14               1 with value 22
% 0.19/0.50  Evaluation took:
% 0.19/0.50    0.03 seconds of real time
% 0.19/0.50    0.026989 seconds of user run time
% 0.19/0.50    0.003018 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    1,527,336 bytes consed.
% 0.19/0.50  :PROOF-FOUND
% 0.19/0.50  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T12:48:27
% 0.19/0.50  :PROOF-FOUND
% 0.19/0.50  * 
%------------------------------------------------------------------------------