TSTP Solution File: RNG044+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : RNG044+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n029.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 : Mon Jul 18 20:40:39 EDT 2022

% Result   : Theorem 0.41s 0.58s
% Output   : Refutation 0.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   14 (  11 unt;   0 nHn;  14 RR)
%            Number of literals    :   22 (   7 equ;  11 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :    8 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(8,axiom,
    ( ~ aScalar0(X)
    | ~ aScalar0(Y)
    | aScalar0(sdtpldt0(X,Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSumSc) ).

cnf(25,axiom,
    ( ~ aScalar0(X)
    | ~ aScalar0(Y)
    | ~ aScalar0(Z)
    | sdtasdt0(X,sdtpldt0(Y,Z)) = sdtpldt0(sdtasdt0(X,Y),sdtasdt0(X,Z)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDistr) ).

cnf(26,axiom,
    ( ~ aScalar0(X)
    | ~ aScalar0(Y)
    | ~ aScalar0(Z)
    | sdtasdt0(sdtpldt0(X,Y),Z) = sdtpldt0(sdtasdt0(X,Z),sdtasdt0(Y,Z)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDistr) ).

cnf(27,hypothesis,
    aScalar0(xx),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__674) ).

cnf(28,hypothesis,
    aScalar0(xy),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__674) ).

cnf(29,hypothesis,
    aScalar0(xu),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__674) ).

cnf(30,hypothesis,
    aScalar0(xv),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__674) ).

cnf(31,negated_conjecture,
    sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) != sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(66,plain,
    aScalar0(sdtpldt0(xu,xv)),
    inference('HYPERRESOLVE',[status(thm)],[8,29,30]) ).

cnf(359,plain,
    sdtasdt0(xy,sdtpldt0(xu,xv)) = sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv)),
    inference('HYPERRESOLVE',[status(thm)],[25,28,29,30]) ).

cnf(360,plain,
    sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) != sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtasdt0(xy,sdtpldt0(xu,xv))),
    inference('REWRITE',[status(thm)],[31,359,theory(equality)]) ).

cnf(384,plain,
    sdtasdt0(xx,sdtpldt0(xu,xv)) = sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),
    inference('HYPERRESOLVE',[status(thm)],[25,27,29,30]) ).

cnf(385,plain,
    sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) != sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sdtasdt0(xy,sdtpldt0(xu,xv))),
    inference('REWRITE',[status(thm)],[360,384,theory(equality)]) ).

cnf(420,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[26,27,28,385]),66]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : RNG044+1 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n029.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Mon May 30 11:14:14 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.46  #<PACKAGE "SNARK-USER">
% 0.19/0.46  * 
% 0.19/0.46  SNARK-TPTP-OPTIONS
% 0.19/0.46  * 
% 0.19/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46   (USE-FACTORING :POS)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-30T11:14:14
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-05-30T11:14:14
% 0.19/0.48  WARNING:
% 0.19/0.48     |iLess0| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.41/0.58  
% 0.41/0.58  
% 0.41/0.58  #||
% 0.41/0.58  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.41/0.58  % SZS output start Refutation
% See solution above
% 0.41/0.58  ||#
% 0.41/0.58  
% 0.41/0.58  ; Summary of computation:
% 0.41/0.58  ;      1334 formulas have been input or derived (from 30 formulas).
% 0.41/0.58  ;       420 (31%) were retained.  Of these,
% 0.41/0.58  ;            6 ( 1%) were simplified or subsumed later,
% 0.41/0.58  ;          414 (99%) are still being kept.
% 0.41/0.58  ; 
% 0.41/0.58  ; Run time in seconds excluding printing time:
% 0.41/0.58  ;     0.004   3%   Read assertion file          (1 call)
% 0.41/0.58  ;     0.002   2%   Assert                       (17 calls)
% 0.41/0.58  ;     0.034  29%   Process new row              (1,071 calls)
% 0.41/0.58  ;     0.021  18%   Resolution                   (58 calls)
% 0.41/0.58  ;     0.001   1%   Paramodulation               (29 calls)
% 0.41/0.58  ;     0.002   2%   Condensing                   (22 calls)
% 0.41/0.59  ;     0.000   0%   Forward subsumption          (22 calls)
% 0.41/0.59  ;     0.001   1%   Backward subsumption         (22 calls)
% 0.41/0.59  ;     0.000   0%   Clause clause subsumption    (14 calls)
% 0.41/0.59  ;     0.022  19%   Forward simplification       (1,070 calls)
% 0.41/0.59  ;     0.001   1%   Backward simplification      (418 calls)
% 0.41/0.59  ;     0.002   2%   Ordering                     (365 calls)
% 0.41/0.59  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.41/0.59  ;     0.000   0%   Purity testing               (1 call)
% 0.41/0.59  ;     0.028  24%   Other
% 0.41/0.59  ;     0.118        Total
% 0.41/0.59  ;     0.120        Real time
% 0.41/0.59  ; 
% 0.41/0.59  ; Term-hash-array has 1,018 terms in all.
% 0.41/0.59  ; Feature-vector-row-index has 21 entries (22 at peak, 22 added, 1 deleted).
% 0.41/0.59  ; Feature-vector-row-index has 63 nodes (70 at peak, 70 added, 7 deleted).
% 0.41/0.59  ;  Retrieved 8 possibly forward subsuming rows in 22 calls.
% 0.41/0.59  ;  Retrieved 6 possibly backward subsumed rows in 22 calls.
% 0.41/0.59  ; Path-index has 1,019 entries (1,019 at peak, 1,027 added, 8 deleted).
% 0.41/0.59  ; Path-index has 419 nodes (419 at peak, 458 added, 39 deleted).
% 0.41/0.59  ; Trie-index has 1,019 entries (1,019 at peak, 1,027 added, 8 deleted).
% 0.41/0.59  ; Trie-index has 2,856 nodes (2,856 at peak, 2,934 added, 78 deleted).
% 0.41/0.59  ; Retrieved 1,489 generalization terms in 4,955 calls.
% 0.41/0.59  ; Retrieved 395 instance terms in 395 calls.
% 0.41/0.59  ; Retrieved 15,482 unifiable terms in 1,507 calls.
% 0.41/0.59  ; 
% 0.41/0.59  ; The agenda of rows to process has 250 entries:
% 0.41/0.59  ;   250 with value 17
% 0.41/0.59  ; The agenda of rows to give has 385 entries:
% 0.41/0.59  ;     5 with value (4 6)           4 with value (4 9)           64 with value (4 13)
% 0.41/0.59  ;    34 with value (4 7)          20 with value (4 10)         128 with value (4 15)
% 0.41/0.59  ;    18 with value (4 8)          48 with value (4 11)          64 with value (4 17)
% 0.41/0.59  Evaluation took:
% 0.41/0.59    0.12 seconds of real time
% 0.41/0.59    0.109898 seconds of user run time
% 0.41/0.59    0.010009 seconds of system run time
% 0.41/0.59    0 calls to %EVAL
% 0.41/0.59    0 page faults and
% 0.41/0.59    7,810,512 bytes consed.
% 0.41/0.59  :PROOF-FOUND
% 0.41/0.59  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-30T11:14:14
% 0.41/0.59  :PROOF-FOUND
% 0.41/0.59  * 
%------------------------------------------------------------------------------