TSTP Solution File: NUM844+2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM844+2 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n004.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 14:14:36 EDT 2022

% Result   : Theorem 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    1
% Syntax   : Number of clauses     :    2 (   2 unt;   0 nHn;   2 RR)
%            Number of literals    :    2 (   1 equ;   1 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;   2 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
    vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))) != vplus(vmul(vd411,vd413),vplus(vsucc(vd411),vd413)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(266, 415, 3)') ).

cnf(2,plain,
    $false,
    inference('REWRITE',[status(thm)],[1,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM844+2 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n004.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 Jul  5 04:47:07 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 2022-07-05T04:47:08
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-07-05T04:47:08
% 0.20/0.50  
% 0.20/0.50  ; Recognized left identity assertion (= (|vmul| |v1| ?X) ?X).
% 0.20/0.50  ; Recognized right identity assertion (= (|vmul| ?X |v1|) ?X).
% 0.20/0.50  ; Recognized commutativity assertion (= (|vplus| ?X ?Y) (|vplus| ?Y ?X)).
% 0.20/0.50  ; Recognized associativity assertion (= (|vplus| (|vplus| ?X ?Y) ?Z) (|vplus| ?X (|vplus| ?Y ?Z))).
% 0.20/0.50  ; Declaring vplus to be commutative.
% 0.20/0.50  WARNING:
% 0.20/0.50     |greater| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.20/0.50  WARNING:
% 0.20/0.50     |less| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.20/0.50  WARNING:
% 0.20/0.50     |leq| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.50  WARNING:
% 0.20/0.50     |geq| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.51  ; Declaring vplus to be associative-commutative.
% 0.20/0.51  
% 0.20/0.51  #||
% 0.20/0.51  % SZS status Theorem for /export/starexec/sandbox/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  ;        23 formulas have been input or derived (from 1 formulas).
% 0.20/0.51  ;         2 ( 9%) were retained.  Of these,
% 0.20/0.51  ;            1 (50%) were simplified or subsumed later,
% 0.20/0.51  ;            1 (50%) are still being kept.
% 0.20/0.51  ; 
% 0.20/0.51  ; Run time in seconds excluding printing time:
% 0.20/0.51  ;     0.004  15%   Read assertion file          (1 call)
% 0.20/0.51  ;     0.001   4%   Assert                       (20 calls)
% 0.20/0.51  ;     0.000   0%   Process new row              (1 call)
% 0.20/0.51  ;     0.000   0%   Forward simplification       (1 call)
% 0.20/0.51  ;     0.000   0%   Backward simplification      (1 call)
% 0.20/0.51  ;     0.002   7%   Sortal reasoning             (32 calls)
% 0.20/0.51  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.51  ;     0.020  74%   Other
% 0.20/0.51  ;     0.027        Total
% 0.20/0.51  ;     0.029        Real time
% 0.20/0.51  ; 
% 0.20/0.51  ; Term-hash-array has 0 terms in all.
% 0.20/0.51  ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.20/0.51  ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.20/0.51  ; Path-index has 2 entries (2 at peak, 2 added, 0 deleted).
% 0.20/0.51  ; Path-index has 3 nodes (3 at peak, 3 added, 0 deleted).
% 0.20/0.51  ; Trie-index has 2 entries (2 at peak, 2 added, 0 deleted).
% 0.20/0.51  ; Trie-index has 3 nodes (3 at peak, 3 added, 0 deleted).
% 0.20/0.51  ; 
% 0.20/0.51  ; The agenda of input rows to process has 21 entries:
% 0.20/0.51  ;    21 with value 0
% 0.20/0.51  Evaluation took:
% 0.20/0.51    0.029 seconds of real time
% 0.20/0.51    0.026456 seconds of user run time
% 0.20/0.51    0.002007 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    1,338,656 bytes consed.
% 0.20/0.51  :PROOF-FOUND
% 0.20/0.51  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T04:47:08
% 0.20/0.51  :PROOF-FOUND
% 0.20/0.51  * 
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