TSTP Solution File: FLD030-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : FLD030-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n028.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 02:27:04 EDT 2022

% Result   : Unsatisfiable 0.19s 0.54s
% Output   : Refutation 0.19s
% 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  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :    3 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
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(a_equals_d_4,negated_conjecture,
    equalish(a,d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_equals_d_4) ).

cnf(multiply_not_equal_to_multiply_5,negated_conjecture,
    ~ equalish(multiply(d,b),multiply(a,b)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_not_equal_to_multiply_5) ).

cnf(165,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[compatibility_of_equality_and_multiplication,multiply_not_equal_to_multiply_5,b_is_defined,a_equals_d_4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : FLD030-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.12/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n028.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 : Tue Jun  7 00:43:14 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.47  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.48  * 
% 0.19/0.48  * 
% 0.19/0.48  #<PACKAGE "SNARK-USER">
% 0.19/0.48  * 
% 0.19/0.48  SNARK-TPTP-OPTIONS
% 0.19/0.48  * 
% 0.19/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48   (USE-FACTORING :POS)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48  * 
% 0.19/0.48  "."
% 0.19/0.48  * 
% 0.19/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-07T00:43:14
% 0.19/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-07T00:43:14
% 0.19/0.50  
% 0.19/0.50  ; Recognized commutativity assertion (OR (|equalish| ?X ?Y) (NOT (|equalish| ?Y ?X))).
% 0.19/0.54  ; Declaring equalish to be commutative.
% 0.19/0.54  
% 0.19/0.54  #||
% 0.19/0.54  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.54  % SZS output start Refutation
% See solution above
% 0.19/0.54  ||#
% 0.19/0.54  
% 0.19/0.54  ; Summary of computation:
% 0.19/0.54  ;       374 formulas have been input or derived (from 29 formulas).
% 0.19/0.54  ;       165 (44%) were retained.  Of these,
% 0.19/0.54  ;          165 (100%) are still being kept.
% 0.19/0.54  ; 
% 0.19/0.54  ; Run time in seconds:
% 0.19/0.54  ;     0.006  11%   Read assertion file          (1 call)
% 0.19/0.54  ;     0.001   2%   Assert                       (32 calls)
% 0.19/0.54  ;     0.008  15%   Process new row              (339 calls)
% 0.19/0.54  ;     0.008  15%   Resolution                   (56 calls)
% 0.19/0.54  ;     0.001   2%   Paramodulation               (28 calls)
% 0.19/0.54  ;     0.001   2%   Condensing                   (49 calls)
% 0.19/0.54  ;     0.000   0%   Forward subsumption          (49 calls)
% 0.19/0.54  ;     0.001   2%   Backward subsumption         (39 calls)
% 0.19/0.54  ;     0.001   2%   Clause clause subsumption    (27 calls)
% 0.19/0.54  ;     0.003   5%   Forward simplification       (339 calls)
% 0.19/0.54  ;     0.000   0%   Backward simplification      (165 calls)
% 0.19/0.54  ;     0.000   0%   Ordering                     (31 calls)
% 0.19/0.54  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.54  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.54  ;     0.025  45%   Other
% 0.19/0.54  ;     0.055        Total
% 0.19/0.54  ;     0.057        Real time
% 0.19/0.54  ; 
% 0.19/0.54  ; Term-hash-array has 274 terms in all.
% 0.19/0.54  ; Feature-vector-row-index has 39 entries (39 at peak, 39 added, 0 deleted).
% 0.19/0.54  ; Feature-vector-row-index has 140 nodes (140 at peak, 140 added, 0 deleted).
% 0.19/0.54  ;  Retrieved 15 possibly forward subsuming rows in 49 calls.
% 0.19/0.54  ;  Retrieved 12 possibly backward subsumed rows in 39 calls.
% 0.19/0.54  ; Path-index has 279 entries (279 at peak, 279 added, 0 deleted).
% 0.19/0.54  ; Path-index has 262 nodes (262 at peak, 262 added, 0 deleted).
% 0.19/0.54  ; Trie-index has 279 entries (279 at peak, 279 added, 0 deleted).
% 0.19/0.54  ; Trie-index has 520 nodes (520 at peak, 520 added, 0 deleted).
% 0.19/0.54  ; Retrieved 165 generalization terms in 364 calls.
% 0.19/0.54  ; Retrieved 156 instance terms in 125 calls.
% 0.19/0.54  ; Retrieved 5,793 unifiable terms in 216 calls.
% 0.19/0.54  ; 
% 0.19/0.54  ; The agenda of rows to process has 12 entries:
% 0.19/0.54  ;     1 with value 4               1 with value 5               10 with value 10
% 0.19/0.54  ; The agenda of input rows to give has 3 entries:
% 0.19/0.54  ;     2 with value 23              1 with value 25
% 0.19/0.54  ; The agenda of rows to give has 133 entries:
% 0.19/0.54  ;    10 with value (4 5)          10 with value (4 8)           44 with value (4 10)
% 0.19/0.54  ;     6 with value (4 6)          10 with value (4 9)            3 with value (4 14)
% 0.19/0.54  ;    50 with value (4 7)
% 0.19/0.54  Evaluation took:
% 0.19/0.54    0.057 seconds of real time
% 0.19/0.54    0.05104 seconds of user run time
% 0.19/0.54    0.005736 seconds of system run time
% 0.19/0.54    0 calls to %EVAL
% 0.19/0.54    0 page faults and
% 0.19/0.54    2,816,584 bytes consed.
% 0.19/0.54  :PROOF-FOUND
% 0.19/0.54  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-07T00:43:14
% 0.19/0.54  :PROOF-FOUND
% 0.19/0.54  * 
%------------------------------------------------------------------------------