TSTP Solution File: RNG045+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : RNG045+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n032.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 0.13s 0.44s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   11 (  10 unt;   0 nHn;  11 RR)
%            Number of literals    :   14 (   6 equ;   5 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   :    3 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(25,axiom,
    ( ~ aScalar0(X)
    | ~ aScalar0(Y)
    | ~ aScalar0(Z)
    | sdtasdt0(X,sdtpldt0(Y,Z)) = sdtpldt0(sdtasdt0(X,Y),sdtasdt0(X,Z)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDistr) ).

cnf(27,hypothesis,
    aScalar0(xx),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__674) ).

cnf(28,hypothesis,
    aScalar0(xy),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__674) ).

cnf(29,hypothesis,
    aScalar0(xu),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__674) ).

cnf(30,hypothesis,
    aScalar0(xv),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__674) ).

cnf(31,hypothesis,
    sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) = sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sdtasdt0(xy,sdtpldt0(xu,xv))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__733) ).

cnf(32,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/sandbox2/benchmark/theBenchmark.p',m__) ).

cnf(360,plain,
    sdtasdt0(xy,sdtpldt0(xu,xv)) = sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv)),
    inference('HYPERRESOLVE',[status(thm)],[25,28,29,30]) ).

cnf(361,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)],[32,360,theory(equality)]) ).

cnf(385,plain,
    sdtasdt0(xx,sdtpldt0(xu,xv)) = sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),
    inference('HYPERRESOLVE',[status(thm)],[25,27,29,30]) ).

cnf(386,plain,
    $false,
    inference('REWRITE',[status(thm)],[361,31,385,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : RNG045+1 : TPTP v8.1.0. Released v4.0.0.
% 0.09/0.10  % Command  : run-snark %s %d
% 0.09/0.28  % Computer : n032.cluster.edu
% 0.09/0.28  % Model    : x86_64 x86_64
% 0.09/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28  % Memory   : 8042.1875MB
% 0.09/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit : 300
% 0.09/0.29  % WCLimit  : 600
% 0.09/0.29  % DateTime : Mon May 30 08:06:57 EDT 2022
% 0.09/0.29  % CPUTime  : 
% 0.13/0.37  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.37  * 
% 0.13/0.37  * 
% 0.13/0.38  #<PACKAGE "SNARK-USER">
% 0.13/0.38  * 
% 0.13/0.38  SNARK-TPTP-OPTIONS
% 0.13/0.38  * 
% 0.13/0.38  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.13/0.38   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.13/0.38   (USE-FACTORING :POS)
% 0.13/0.38   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.13/0.38   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.13/0.38   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.13/0.38   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.13/0.38   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.13/0.38   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.13/0.38   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.13/0.38   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.13/0.38   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.13/0.38   (DECLARE-TPTP-SYMBOLS2))
% 0.13/0.38  * 
% 0.13/0.38  "."
% 0.13/0.38  * 
% 0.13/0.38  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T08:06:57
% 0.13/0.38  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-05-30T08:06:57
% 0.13/0.39  WARNING:
% 0.13/0.39     |iLess0| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.13/0.44  
% 0.13/0.44  
% 0.13/0.44  #||
% 0.13/0.44  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.44  % SZS output start Refutation
% See solution above
% 0.13/0.44  ||#
% 0.13/0.44  
% 0.13/0.44  ; Summary of computation:
% 0.13/0.44  ;      1085 formulas have been input or derived (from 29 formulas).
% 0.13/0.44  ;       386 (36%) were retained.  Of these,
% 0.13/0.44  ;            6 ( 2%) were simplified or subsumed later,
% 0.13/0.44  ;          380 (98%) are still being kept.
% 0.13/0.44  ; 
% 0.13/0.44  ; Run time in seconds:
% 0.13/0.44  ;     0.003   5%   Read assertion file          (1 call)
% 0.13/0.44  ;     0.000   0%   Assert                       (18 calls)
% 0.13/0.44  ;     0.016  26%   Process new row              (903 calls)
% 0.13/0.44  ;     0.013  21%   Resolution                   (56 calls)
% 0.13/0.44  ;     0.000   0%   Paramodulation               (28 calls)
% 0.13/0.44  ;     0.002   3%   Condensing                   (22 calls)
% 0.13/0.44  ;     0.000   0%   Forward subsumption          (22 calls)
% 0.13/0.44  ;     0.000   0%   Backward subsumption         (22 calls)
% 0.13/0.44  ;     0.000   0%   Clause clause subsumption    (14 calls)
% 0.13/0.44  ;     0.010  16%   Forward simplification       (902 calls)
% 0.13/0.44  ;     0.003   5%   Backward simplification      (384 calls)
% 0.13/0.44  ;     0.000   0%   Ordering                     (339 calls)
% 0.13/0.44  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.13/0.44  ;     0.000   0%   Purity testing               (1 call)
% 0.13/0.44  ;     0.015  24%   Other
% 0.13/0.44  ;     0.062        Total
% 0.13/0.44  ;     0.063        Real time
% 0.13/0.44  ; 
% 0.13/0.44  ; Term-hash-array has 939 terms in all.
% 0.13/0.44  ; Feature-vector-row-index has 21 entries (22 at peak, 22 added, 1 deleted).
% 0.13/0.44  ; Feature-vector-row-index has 63 nodes (70 at peak, 70 added, 7 deleted).
% 0.13/0.44  ;  Retrieved 8 possibly forward subsuming rows in 22 calls.
% 0.13/0.44  ;  Retrieved 6 possibly backward subsumed rows in 22 calls.
% 0.13/0.44  ; Path-index has 940 entries (942 at peak, 946 added, 6 deleted).
% 0.13/0.44  ; Path-index has 419 nodes (434 at peak, 445 added, 26 deleted).
% 0.13/0.44  ; Trie-index has 940 entries (942 at peak, 946 added, 6 deleted).
% 0.13/0.44  ; Trie-index has 2,636 nodes (2,659 at peak, 2,691 added, 55 deleted).
% 0.13/0.44  ; Retrieved 1,103 generalization terms in 3,792 calls.
% 0.13/0.44  ; Retrieved 361 instance terms in 361 calls.
% 0.13/0.44  ; Retrieved 12,197 unifiable terms in 1,211 calls.
% 0.13/0.44  ; 
% 0.13/0.44  ; The agenda of rows to process has 169 entries:
% 0.13/0.44  ;   169 with value 17
% 0.13/0.44  ; The agenda of input rows to give has 1 entry:
% 0.13/0.44  ;     1 with value 25
% 0.13/0.44  ; The agenda of rows to give has 351 entries:
% 0.13/0.44  ;     5 with value (4 6)           4 with value (4 9)           57 with value (4 13)
% 0.13/0.44  ;    34 with value (4 7)          20 with value (4 10)         128 with value (4 15)
% 0.13/0.44  ;    18 with value (4 8)          32 with value (4 11)          53 with value (4 17)
% 0.13/0.44  Evaluation took:
% 0.13/0.44    0.063 seconds of real time
% 0.13/0.44    0.05692 seconds of user run time
% 0.13/0.44    0.005988 seconds of system run time
% 0.13/0.44    0 calls to %EVAL
% 0.13/0.44    0 page faults and
% 0.13/0.44    6,682,784 bytes consed.
% 0.13/0.44  :PROOF-FOUND
% 0.13/0.44  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T08:06:57
% 0.13/0.44  :PROOF-FOUND
% 0.13/0.44  * 
%------------------------------------------------------------------------------