TSTP Solution File: FLD071-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : FLD071-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n019.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 02:27:21 EDT 2022

% Result   : Unsatisfiable 0.20s 0.53s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    5 (   4 unt;   0 nHn;   5 RR)
%            Number of literals    :    7 (   0 equ;   3 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :    2 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(compatibility_of_order_relation_and_multiplication,axiom,
    ( less_or_equal(additive_identity,multiply(X,Y))
    | ~ less_or_equal(additive_identity,X)
    | ~ less_or_equal(additive_identity,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',compatibility_of_order_relation_and_multiplication) ).

cnf(less_or_equal_3,negated_conjecture,
    less_or_equal(additive_identity,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_3) ).

cnf(less_or_equal_4,negated_conjecture,
    less_or_equal(additive_identity,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_4) ).

cnf(not_less_or_equal_5,negated_conjecture,
    ~ less_or_equal(additive_identity,multiply(a,b)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_less_or_equal_5) ).

cnf(117,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[compatibility_of_order_relation_and_multiplication,not_less_or_equal_5,less_or_equal_3,less_or_equal_4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : FLD071-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.04/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n019.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  6 14:23:55 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 2022-06-06T14:23:55
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-06-06T14:23:55
% 0.20/0.50  
% 0.20/0.50  ; Recognized commutativity assertion (OR (|equalish| ?X ?Y) (NOT (|equalish| ?Y ?X))).
% 0.20/0.53  ; Declaring equalish to be commutative.
% 0.20/0.53  
% 0.20/0.53  #||
% 0.20/0.53  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.53  % SZS output start Refutation
% See solution above
% 0.20/0.53  ||#
% 0.20/0.53  
% 0.20/0.53  ; Summary of computation:
% 0.20/0.53  ;       238 formulas have been input or derived (from 25 formulas).
% 0.20/0.53  ;       117 (49%) were retained.  Of these,
% 0.20/0.53  ;          117 (100%) are still being kept.
% 0.20/0.53  ; 
% 0.20/0.53  ; Run time in seconds excluding printing time:
% 0.20/0.53  ;     0.006  12%   Read assertion file          (1 call)
% 0.20/0.53  ;     0.002   4%   Assert                       (32 calls)
% 0.20/0.53  ;     0.006  12%   Process new row              (228 calls)
% 0.20/0.53  ;     0.003   6%   Resolution                   (48 calls)
% 0.20/0.53  ;     0.000   0%   Paramodulation               (24 calls)
% 0.20/0.53  ;     0.003   6%   Condensing                   (33 calls)
% 0.20/0.53  ;     0.000   0%   Forward subsumption          (33 calls)
% 0.20/0.53  ;     0.000   0%   Backward subsumption         (29 calls)
% 0.20/0.53  ;     0.000   0%   Clause clause subsumption    (21 calls)
% 0.20/0.53  ;     0.002   4%   Forward simplification       (228 calls)
% 0.20/0.53  ;     0.002   4%   Backward simplification      (117 calls)
% 0.20/0.53  ;     0.000   0%   Ordering                     (8 calls)
% 0.20/0.53  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.53  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.53  ;     0.024  50%   Other
% 0.20/0.53  ;     0.048        Total
% 0.20/0.53  ;     0.049        Real time
% 0.20/0.53  ; 
% 0.20/0.53  ; Term-hash-array has 194 terms in all.
% 0.20/0.53  ; Feature-vector-row-index has 29 entries (29 at peak, 29 added, 0 deleted).
% 0.20/0.53  ; Feature-vector-row-index has 96 nodes (96 at peak, 96 added, 0 deleted).
% 0.20/0.53  ;  Retrieved 9 possibly forward subsuming rows in 33 calls.
% 0.20/0.53  ;  Retrieved 12 possibly backward subsumed rows in 29 calls.
% 0.20/0.53  ; Path-index has 198 entries (198 at peak, 198 added, 0 deleted).
% 0.20/0.53  ; Path-index has 233 nodes (233 at peak, 233 added, 0 deleted).
% 0.20/0.53  ; Trie-index has 198 entries (198 at peak, 198 added, 0 deleted).
% 0.20/0.53  ; Trie-index has 379 nodes (379 at peak, 379 added, 0 deleted).
% 0.20/0.53  ; Retrieved 107 generalization terms in 237 calls.
% 0.20/0.53  ; Retrieved 106 instance terms in 87 calls.
% 0.20/0.53  ; Retrieved 2,318 unifiable terms in 169 calls.
% 0.20/0.53  ; 
% 0.20/0.53  ; The agenda of rows to process has 10 entries:
% 0.20/0.53  ;     2 with value 5               8 with value 8
% 0.20/0.53  ; The agenda of input rows to give has 7 entries:
% 0.20/0.53  ;     4 with value 16              2 with value 23               1 with value 25
% 0.20/0.53  ; The agenda of rows to give has 85 entries:
% 0.20/0.53  ;     8 with value (4 5)          32 with value (4 7)            4 with value (4 9)
% 0.20/0.53  ;     5 with value (4 6)          10 with value (4 8)           26 with value (4 10)
% 0.20/0.53  Evaluation took:
% 0.20/0.53    0.05 seconds of real time
% 0.20/0.53    0.042426 seconds of user run time
% 0.20/0.53    0.007146 seconds of system run time
% 0.20/0.53    0 calls to %EVAL
% 0.20/0.53    0 page faults and
% 0.20/0.53    2,407,320 bytes consed.
% 0.20/0.53  :PROOF-FOUND
% 0.20/0.53  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-06T14:23:55
% 0.20/0.53  :PROOF-FOUND
% 0.20/0.53  * 
%------------------------------------------------------------------------------