TSTP Solution File: HWC001-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : HWC001-1 : TPTP v8.1.0. Bugfixed v1.1.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n025.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 13:07:35 EDT 2022

% Result   : Unsatisfiable 0.20s 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   13 (  11 unt;   0 nHn;  10 RR)
%            Number of literals    :   17 (   5 equ;   5 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-4 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   20 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(nand_definition,axiom,
    nand(X,Y) = not(and(X,Y)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',nand_definition) ).

cnf(and_definition1,axiom,
    and(X,n0) = n0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_definition1) ).

cnf(and_definition2,axiom,
    and(X,n1) = X,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_definition2) ).

cnf(not_definition1,axiom,
    not(n0) = n1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_definition1) ).

cnf(not_definition2,axiom,
    not(n1) = n0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_definition2) ).

cnf(nand_table_definition,negated_conjecture,
    ( ~ output(X,Y,Z,U)
    | ~ output(V,W,X1,Y1)
    | output(nand(X,V),nand(Y,W),nand(Z,X1),nand(U,Y1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',nand_table_definition) ).

cnf(7,plain,
    ( ~ output(X,Y,Z,U)
    | ~ output(V,W,X1,Y1)
    | output(not(and(X,V)),not(and(Y,W)),not(and(Z,X1)),not(and(U,Y1))) ),
    inference('REWRITE',[status(thm)],[nand_table_definition,nand_definition,theory(equality)]) ).

cnf(input1,negated_conjecture,
    output(n0,n0,n1,n1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',input1) ).

cnf(input2,negated_conjecture,
    output(n0,n1,n0,n1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',input2) ).

cnf(prove_cannot_make_or,negated_conjecture,
    ~ output(n0,n1,n1,n1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cannot_make_or) ).

cnf(11,plain,
    output(n1,n1,n0,n0),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[7,input1,input1]),not_definition2,and_definition2,not_definition1,and_definition1,theory(equality)]) ).

cnf(13,plain,
    output(n1,n0,n1,n0),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[7,input2,input2]),not_definition2,and_definition2,not_definition1,and_definition1,theory(equality)]) ).

cnf(18,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[7,13,11]),prove_cannot_make_or,and_definition1,not_definition1,not_definition2,and_definition2,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : HWC001-1 : TPTP v8.1.0. Bugfixed v1.1.1.
% 0.08/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n025.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Thu Jun  9 12:59:35 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46  * 
% 0.20/0.46  * 
% 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)
% 0.20/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47  * 
% 0.20/0.47  "."
% 0.20/0.47  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-09T12:59:35
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-09T12:59:35
% 0.20/0.48  
% 0.20/0.50  ; Recognized right identity assertion (= (|and| ?X |n1|) ?X).
% 0.20/0.50  
% 0.20/0.50  #||
% 0.20/0.50  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.50  % SZS output start Refutation
% See solution above
% 0.20/0.50  ||#
% 0.20/0.50  
% 0.20/0.50  ; Summary of computation:
% 0.20/0.50  ;        71 formulas have been input or derived (from 13 formulas).
% 0.20/0.50  ;        18 (25%) were retained.  Of these,
% 0.20/0.50  ;            1 ( 6%) were simplified or subsumed later,
% 0.20/0.50  ;           17 (94%) are still being kept.
% 0.20/0.50  ; 
% 0.20/0.50  ; Run time in seconds excluding printing time:
% 0.20/0.50  ;     0.002   7%   Read assertion file          (1 call)
% 0.20/0.50  ;     0.000   0%   Assert                       (9 calls)
% 0.20/0.50  ;     0.002   7%   Process new row              (53 calls)
% 0.20/0.50  ;     0.000   0%   Resolution                   (24 calls)
% 0.20/0.50  ;     0.001   4%   Paramodulation               (12 calls)
% 0.20/0.50  ;     0.000   0%   Condensing                   (1 call)
% 0.20/0.50  ;     0.000   0%   Forward subsumption          (1 call)
% 0.20/0.50  ;     0.000   0%   Backward subsumption         (1 call)
% 0.20/0.50  ;     0.002   7%   Forward simplification       (53 calls)
% 0.20/0.50  ;     0.000   0%   Backward simplification      (17 calls)
% 0.20/0.50  ;     0.000   0%   Ordering                     (25 calls)
% 0.20/0.50  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.50  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.50  ;     0.021  75%   Other
% 0.20/0.50  ;     0.028        Total
% 0.20/0.50  ;     0.031        Real time
% 0.20/0.50  ; 
% 0.20/0.50  ; Term-hash-array has 33 terms in all.
% 0.20/0.50  ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 0.20/0.50  ; Feature-vector-row-index has 8 nodes (8 at peak, 8 added, 0 deleted).
% 0.20/0.50  ;  Retrieved 0 possibly forward subsuming rows in 1 call.
% 0.20/0.50  ;  Retrieved 0 possibly backward subsumed rows in 1 call.
% 0.20/0.50  ; Path-index has 35 entries (35 at peak, 35 added, 0 deleted).
% 0.20/0.50  ; Path-index has 87 nodes (87 at peak, 87 added, 0 deleted).
% 0.20/0.50  ; Trie-index has 35 entries (35 at peak, 35 added, 0 deleted).
% 0.20/0.50  ; Trie-index has 80 nodes (80 at peak, 80 added, 0 deleted).
% 0.20/0.50  ; Retrieved 256 generalization terms in 314 calls.
% 0.20/0.50  ; Retrieved 15 instance terms in 15 calls.
% 0.20/0.50  ; Retrieved 240 unifiable terms in 112 calls.
% 0.20/0.50  ; 
% 0.20/0.50  ; The agenda of rows to process has 17 entries:
% 0.20/0.50  ;    17 with value 22
% 0.20/0.50  ; The agenda of rows to give has 4 entries:
% 0.20/0.50  ;     4 with value (4 8)
% 0.20/0.50  Evaluation took:
% 0.20/0.50    0.031 seconds of real time
% 0.20/0.50    0.026038 seconds of user run time
% 0.20/0.50    0.005311 seconds of system run time
% 0.20/0.50    0 calls to %EVAL
% 0.20/0.50    0 page faults and
% 0.20/0.50    2,288,432 bytes consed.
% 0.20/0.50  :PROOF-FOUND
% 0.20/0.50  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-09T12:59:35
% 0.20/0.50  :PROOF-FOUND
% 0.20/0.50  * 
%------------------------------------------------------------------------------