TSTP Solution File: FLD030-2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : FLD030-2 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n020.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 02:27:05 EDT 2022

% Result   : Unsatisfiable 0.20s 0.52s
% 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/sandbox2/benchmark/Axioms/FLD001-0.ax',transitivity_of_equality) ).

cnf(compatibility_of_equality_and_multiplication,axiom,
    ( equalish(multiply(X,Y),multiply(Z,Y))
    | ~ defined(Y)
    | ~ equalish(X,Z) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',compatibility_of_equality_and_multiplication) ).

cnf(b_is_defined,hypothesis,
    defined(b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).

cnf(multiply_equals_c_5,negated_conjecture,
    equalish(multiply(a,b),c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_equals_c_5) ).

cnf(a_equals_d_6,negated_conjecture,
    equalish(a,d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_equals_d_6) ).

cnf(multiply_not_equal_to_c_7,negated_conjecture,
    ~ equalish(multiply(d,b),c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_not_equal_to_c_7) ).

cnf(142,plain,
    ~ equalish(multiply(d,b),multiply(a,b)),
    inference('UR-RESOLVE',[status(thm)],[transitivity_of_equality,multiply_not_equal_to_c_7,multiply_equals_c_5]) ).

cnf(225,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[compatibility_of_equality_and_multiplication,b_is_defined,a_equals_d_6]),142]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : FLD030-2 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n020.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 : Tue Jun  7 02:27:07 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  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 0.20/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47   (USE-FACTORING :POS)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47   (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 2022-06-07T02:27:07
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-07T02:27:07
% 0.20/0.49  
% 0.20/0.49  ; Recognized commutativity assertion (OR (|equalish| ?X ?Y) (NOT (|equalish| ?Y ?X))).
% 0.20/0.52  ; Declaring equalish to be commutative.
% 0.20/0.52  
% 0.20/0.52  #||
% 0.20/0.52  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.52  % SZS output start Refutation
% See solution above
% 0.20/0.52  ||#
% 0.20/0.52  
% 0.20/0.52  ; Summary of computation:
% 0.20/0.52  ;       544 formulas have been input or derived (from 31 formulas).
% 0.20/0.52  ;       225 (41%) were retained.  Of these,
% 0.20/0.52  ;          225 (100%) are still being kept.
% 0.20/0.52  ; 
% 0.20/0.52  ; Run time in seconds:
% 0.20/0.52  ;     0.004  10%   Read assertion file          (1 call)
% 0.20/0.52  ;     0.001   2%   Assert                       (34 calls)
% 0.20/0.52  ;     0.012  29%   Process new row              (473 calls)
% 0.20/0.52  ;     0.004  10%   Resolution                   (60 calls)
% 0.20/0.52  ;     0.000   0%   Paramodulation               (30 calls)
% 0.20/0.52  ;     0.000   0%   Condensing                   (61 calls)
% 0.20/0.52  ;     0.001   2%   Forward subsumption          (61 calls)
% 0.20/0.52  ;     0.000   0%   Backward subsumption         (46 calls)
% 0.20/0.52  ;     0.000   0%   Clause clause subsumption    (32 calls)
% 0.20/0.52  ;     0.002   5%   Forward simplification       (473 calls)
% 0.20/0.52  ;     0.002   5%   Backward simplification      (225 calls)
% 0.20/0.52  ;     0.000   0%   Ordering                     (44 calls)
% 0.20/0.52  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.52  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.52  ;     0.016  38%   Other
% 0.20/0.52  ;     0.042        Total
% 0.20/0.52  ;     0.044        Real time
% 0.20/0.52  ; 
% 0.20/0.52  ; Term-hash-array has 372 terms in all.
% 0.20/0.52  ; Feature-vector-row-index has 46 entries (46 at peak, 46 added, 0 deleted).
% 0.20/0.52  ; Feature-vector-row-index has 164 nodes (164 at peak, 164 added, 0 deleted).
% 0.20/0.52  ;  Retrieved 20 possibly forward subsuming rows in 61 calls.
% 0.20/0.52  ;  Retrieved 12 possibly backward subsumed rows in 46 calls.
% 0.20/0.52  ; Path-index has 378 entries (378 at peak, 378 added, 0 deleted).
% 0.20/0.52  ; Path-index has 291 nodes (291 at peak, 291 added, 0 deleted).
% 0.20/0.52  ; Trie-index has 378 entries (378 at peak, 378 added, 0 deleted).
% 0.20/0.52  ; Trie-index has 705 nodes (705 at peak, 705 added, 0 deleted).
% 0.20/0.52  ; Retrieved 235 generalization terms in 513 calls.
% 0.20/0.52  ; Retrieved 223 instance terms in 178 calls.
% 0.20/0.52  ; Retrieved 8,720 unifiable terms in 243 calls.
% 0.20/0.52  ; 
% 0.20/0.52  ; The agenda of rows to process has 21 entries:
% 0.20/0.52  ;     9 with value 10             12 with value 13
% 0.20/0.52  ; The agenda of input rows to give has 3 entries:
% 0.20/0.52  ;     2 with value 23              1 with value 25
% 0.20/0.52  ; The agenda of rows to give has 191 entries:
% 0.20/0.52  ;    12 with value (4 5)          12 with value (4 8)            6 with value (4 13)
% 0.20/0.52  ;     7 with value (4 6)          15 with value (4 9)            4 with value (4 14)
% 0.20/0.52  ;    72 with value (4 7)          63 with value (4 10)
% 0.20/0.52  Evaluation took:
% 0.20/0.52    0.044 seconds of real time
% 0.20/0.52    0.035142 seconds of user run time
% 0.20/0.52    0.008705 seconds of system run time
% 0.20/0.52    0 calls to %EVAL
% 0.20/0.52    0 page faults and
% 0.20/0.52    3,435,080 bytes consed.
% 0.20/0.52  :PROOF-FOUND
% 0.20/0.52  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-07T02:27:07
% 0.20/0.52  :PROOF-FOUND
% 0.20/0.52  * 
%------------------------------------------------------------------------------