TSTP Solution File: FLD017-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : FLD017-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n027.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 02:27:00 EDT 2022

% Result   : Unsatisfiable 0.20s 0.54s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    6
% Syntax   : Number of clauses     :    8 (   6 unt;   0 nHn;   8 RR)
%            Number of literals    :   12 (   0 equ;   6 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :    6 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(transitivity_of_equality,axiom,
    ( equalish(X,Y)
    | ~ equalish(X,Z)
    | ~ equalish(Z,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',transitivity_of_equality) ).

cnf(compatibility_of_equality_and_addition,axiom,
    ( equalish(add(X,Y),add(Z,Y))
    | ~ defined(Y)
    | ~ equalish(X,Z) ),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',compatibility_of_equality_and_addition) ).

cnf(b_is_defined,hypothesis,
    defined(b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).

cnf(a_equals_x_5,negated_conjecture,
    equalish(a,x),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_equals_x_5) ).

cnf(add_equals_c_6,negated_conjecture,
    equalish(add(a,b),c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',add_equals_c_6) ).

cnf(add_not_equal_to_c_7,negated_conjecture,
    ~ equalish(add(x,b),c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',add_not_equal_to_c_7) ).

cnf(142,plain,
    ~ equalish(add(x,b),add(a,b)),
    inference('UR-RESOLVE',[status(thm)],[transitivity_of_equality,add_not_equal_to_c_7,add_equals_c_6]) ).

cnf(213,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[compatibility_of_equality_and_addition,b_is_defined,a_equals_x_5]),142]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : FLD017-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n027.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 17:45:39 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 2022-06-06T17:45:39
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-06T17:45:39
% 0.20/0.50  
% 0.20/0.50  ; Recognized commutativity assertion (OR (|equalish| ?X ?Y) (NOT (|equalish| ?Y ?X))).
% 0.20/0.54  ; Declaring equalish to be commutative.
% 0.20/0.54  
% 0.20/0.54  #||
% 0.20/0.54  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.54  % SZS output start Refutation
% See solution above
% 0.20/0.54  ||#
% 0.20/0.54  
% 0.20/0.54  ; Summary of computation:
% 0.20/0.54  ;       496 formulas have been input or derived (from 30 formulas).
% 0.20/0.54  ;       213 (43%) were retained.  Of these,
% 0.20/0.54  ;          213 (100%) are still being kept.
% 0.20/0.54  ; 
% 0.20/0.54  ; Run time in seconds:
% 0.20/0.54  ;     0.007  11%   Read assertion file          (1 call)
% 0.20/0.54  ;     0.000   0%   Assert                       (34 calls)
% 0.20/0.54  ;     0.011  18%   Process new row              (449 calls)
% 0.20/0.54  ;     0.006  10%   Resolution                   (58 calls)
% 0.20/0.54  ;     0.000   0%   Paramodulation               (29 calls)
% 0.20/0.54  ;     0.001   2%   Condensing                   (61 calls)
% 0.20/0.54  ;     0.002   3%   Forward subsumption          (61 calls)
% 0.20/0.54  ;     0.000   0%   Backward subsumption         (46 calls)
% 0.20/0.54  ;     0.000   0%   Clause clause subsumption    (32 calls)
% 0.20/0.54  ;     0.005   8%   Forward simplification       (449 calls)
% 0.20/0.54  ;     0.004   6%   Backward simplification      (213 calls)
% 0.20/0.54  ;     0.000   0%   Ordering                     (44 calls)
% 0.20/0.54  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.54  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.54  ;     0.026  42%   Other
% 0.20/0.54  ;     0.062        Total
% 0.20/0.54  ;     0.062        Real time
% 0.20/0.54  ; 
% 0.20/0.54  ; Term-hash-array has 354 terms in all.
% 0.20/0.54  ; Feature-vector-row-index has 46 entries (46 at peak, 46 added, 0 deleted).
% 0.20/0.54  ; Feature-vector-row-index has 164 nodes (164 at peak, 164 added, 0 deleted).
% 0.20/0.54  ;  Retrieved 20 possibly forward subsuming rows in 61 calls.
% 0.20/0.54  ;  Retrieved 12 possibly backward subsumed rows in 46 calls.
% 0.20/0.54  ; Path-index has 360 entries (360 at peak, 360 added, 0 deleted).
% 0.20/0.54  ; Path-index has 287 nodes (287 at peak, 287 added, 0 deleted).
% 0.20/0.54  ; Trie-index has 360 entries (360 at peak, 360 added, 0 deleted).
% 0.20/0.54  ; Trie-index has 653 nodes (653 at peak, 653 added, 0 deleted).
% 0.20/0.54  ; Retrieved 223 generalization terms in 489 calls.
% 0.20/0.54  ; Retrieved 209 instance terms in 166 calls.
% 0.20/0.54  ; Retrieved 7,284 unifiable terms in 228 calls.
% 0.20/0.54  ; 
% 0.20/0.54  ; The agenda of rows to process has 21 entries:
% 0.20/0.54  ;     9 with value 10             12 with value 13
% 0.20/0.54  ; The agenda of input rows to give has 4 entries:
% 0.20/0.54  ;     1 with value 16              2 with value 23               1 with value 25
% 0.20/0.54  ; The agenda of rows to give has 179 entries:
% 0.20/0.54  ;    12 with value (4 5)          12 with value (4 8)           57 with value (4 10)
% 0.20/0.54  ;     7 with value (4 6)          15 with value (4 9)            4 with value (4 14)
% 0.20/0.54  ;    72 with value (4 7)
% 0.20/0.54  Evaluation took:
% 0.20/0.54    0.063 seconds of real time
% 0.20/0.54    0.050249 seconds of user run time
% 0.20/0.54    0.013194 seconds of system run time
% 0.20/0.54    0 calls to %EVAL
% 0.20/0.54    0 page faults and
% 0.20/0.54    3,328,872 bytes consed.
% 0.20/0.54  :PROOF-FOUND
% 0.20/0.54  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-06T17:45:39
% 0.20/0.54  :PROOF-FOUND
% 0.20/0.54  * 
%------------------------------------------------------------------------------