TSTP Solution File: COM016+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : COM016+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n009.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 : Fri Jul 15 01:42:43 EDT 2022

% Result   : Theorem 0.65s 0.83s
% Output   : Refutation 0.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   20 (  11 unt;   6 nHn;  20 RR)
%            Number of literals    :   48 (   1 equ;  25 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-3 aty)
%            Number of variables   :   16 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,axiom,
    ( ~ aElement0(X)
    | ~ aRewritingSystem0(Y)
    | ~ aElement0(Z)
    | ~ sdtmndtplgtdt0(X,Y,Z)
    | aReductOfIn0(Z,X,Y)
    | aElement0('SKOLEMAAAV1'(X,Y,Z)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTCDef) ).

cnf(3,axiom,
    ( ~ aElement0(X)
    | ~ aRewritingSystem0(Y)
    | ~ aElement0(Z)
    | ~ sdtmndtplgtdt0(X,Y,Z)
    | aReductOfIn0(Z,X,Y)
    | aReductOfIn0('SKOLEMAAAV1'(X,Y,Z),X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTCDef) ).

cnf(4,axiom,
    ( ~ aElement0(X)
    | ~ aRewritingSystem0(Y)
    | ~ aElement0(Z)
    | ~ sdtmndtplgtdt0(X,Y,Z)
    | aReductOfIn0(Z,X,Y)
    | sdtmndtplgtdt0('SKOLEMAAAV1'(X,Y,Z),Y,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTCDef) ).

cnf(9,axiom,
    ( ~ aElement0(X)
    | ~ aRewritingSystem0(Y)
    | ~ aElement0(Z)
    | sdtmndtasgtdt0(X,Y,Z)
    | X != Z ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTCRDef) ).

cnf(10,axiom,
    ( ~ aElement0(X)
    | ~ aRewritingSystem0(Y)
    | ~ aElement0(Z)
    | sdtmndtasgtdt0(X,Y,Z)
    | ~ sdtmndtplgtdt0(X,Y,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTCRDef) ).

cnf(40,hypothesis,
    aRewritingSystem0(xR),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__656) ).

cnf(43,hypothesis,
    aElement0(xa),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__731) ).

cnf(44,hypothesis,
    aElement0(xb),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__731) ).

cnf(49,hypothesis,
    sdtmndtplgtdt0(xa,xR,xb),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__731_02) ).

cnf(51,negated_conjecture,
    ( ~ aElement0(X)
    | ~ aReductOfIn0(X,xa,xR)
    | ~ sdtmndtasgtdt0(X,xR,xb) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(61,plain,
    sdtmndtasgtdt0(xb,xR,xb),
    inference('HYPERRESOLVE',[status(thm)],[9,44,40,44,theory(equality)]) ).

cnf(68,plain,
    ( aReductOfIn0(xb,xa,xR)
    | aElement0('SKOLEMAAAV1'(xa,xR,xb)) ),
    inference('HYPERRESOLVE',[status(thm)],[2,43,40,44,49]) ).

cnf(70,plain,
    ( aReductOfIn0(xb,xa,xR)
    | aReductOfIn0('SKOLEMAAAV1'(xa,xR,xb),xa,xR) ),
    inference('HYPERRESOLVE',[status(thm)],[3,43,40,44,49]) ).

cnf(72,plain,
    ( aReductOfIn0(xb,xa,xR)
    | sdtmndtplgtdt0('SKOLEMAAAV1'(xa,xR,xb),xR,xb) ),
    inference('HYPERRESOLVE',[status(thm)],[4,43,40,44,49]) ).

cnf(76,plain,
    ~ aReductOfIn0(xb,xa,xR),
    inference('UR-RESOLVE',[status(thm)],[51,61,44]) ).

cnf(77,plain,
    aElement0('SKOLEMAAAV1'(xa,xR,xb)),
    inference('REWRITE',[status(thm)],[68,76]) ).

cnf(78,plain,
    aReductOfIn0('SKOLEMAAAV1'(xa,xR,xb),xa,xR),
    inference('REWRITE',[status(thm)],[70,76]) ).

cnf(79,plain,
    sdtmndtplgtdt0('SKOLEMAAAV1'(xa,xR,xb),xR,xb),
    inference('REWRITE',[status(thm)],[72,76]) ).

cnf(226,plain,
    ~ sdtmndtasgtdt0('SKOLEMAAAV1'(xa,xR,xb),xR,xb),
    inference('UR-RESOLVE',[status(thm)],[51,78,77]) ).

cnf(230,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[10,79,77,40,44]),226]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : COM016+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n009.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 16 19:12:38 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 2022-06-16T19:12:38
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n009.cluster.edu at 2022-06-16T19:12:38
% 0.65/0.83  
% 0.65/0.83  
% 0.65/0.83  #||
% 0.65/0.83  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.65/0.83  % SZS output start Refutation
% See solution above
% 0.65/0.83  ||#
% 0.65/0.83  
% 0.65/0.83  ; Summary of computation:
% 0.65/0.83  ;       405 formulas have been input or derived (from 79 formulas).
% 0.65/0.83  ;       230 (57%) were retained.  Of these,
% 0.65/0.83  ;            4 ( 2%) were simplified or subsumed later,
% 0.65/0.83  ;          226 (98%) are still being kept.
% 0.65/0.83  ; 
% 0.65/0.83  ; Run time in seconds excluding printing time:
% 0.65/0.83  ;     0.006   2%   Read assertion file          (1 call)
% 0.65/0.83  ;     0.002   1%   Assert                       (20 calls)
% 0.65/0.83  ;     0.010   3%   Process new row              (320 calls)
% 0.65/0.83  ;     0.295  83%   Resolution                   (156 calls)
% 0.65/0.83  ;     0.000   0%   Paramodulation               (78 calls)
% 0.65/0.83  ;     0.000   0%   Factoring                    (3 calls)
% 0.65/0.83  ;     0.001   0%   Condensing                   (196 calls)
% 0.65/0.83  ;     0.006   2%   Forward subsumption          (196 calls)
% 0.65/0.83  ;     0.002   1%   Backward subsumption         (157 calls)
% 0.65/0.83  ;     0.002   1%   Clause clause subsumption    (140 calls)
% 0.65/0.83  ;     0.008   2%   Forward simplification       (320 calls)
% 0.65/0.83  ;     0.000   0%   Backward simplification      (230 calls)
% 0.65/0.83  ;     0.001   0%   Ordering                     (212 calls)
% 0.65/0.83  ;     0.001   0%   Sortal reasoning             (32 calls)
% 0.65/0.83  ;     0.000   0%   Purity testing               (1 call)
% 0.65/0.83  ;     0.023   6%   Other
% 0.65/0.83  ;     0.357        Total
% 0.65/0.83  ;     0.361        Real time
% 0.65/0.83  ; 
% 0.65/0.83  ; Term-hash-array has 238 terms in all.
% 0.65/0.83  ; Feature-vector-row-index has 153 entries (154 at peak, 157 added, 4 deleted).
% 0.65/0.83  ; Feature-vector-row-index has 525 nodes (532 at peak, 562 added, 37 deleted).
% 0.65/0.83  ;  Retrieved 120 possibly forward subsuming rows in 196 calls.
% 0.65/0.83  ;  Retrieved 40 possibly backward subsumed rows in 157 calls.
% 0.65/0.83  ; Path-index has 242 entries (242 at peak, 248 added, 6 deleted).
% 0.65/0.83  ; Path-index has 587 nodes (587 at peak, 593 added, 6 deleted).
% 0.65/0.83  ; Trie-index has 242 entries (242 at peak, 248 added, 6 deleted).
% 0.65/0.83  ; Trie-index has 695 nodes (695 at peak, 709 added, 14 deleted).
% 0.65/0.83  ; Retrieved 49 generalization terms in 421 calls.
% 0.65/0.83  ; Retrieved 72 instance terms in 72 calls.
% 0.65/0.83  ; Retrieved 311,941 unifiable terms in 61,628 calls.
% 0.65/0.83  ; 
% 0.65/0.83  ; The agenda of rows to process has 3 entries:
% 0.65/0.83  ;     1 with value 22              1 with value 24               1 with value 27
% 0.65/0.83  ; The agenda of rows to give has 147 entries:
% 0.65/0.83  ;     9 with value (4 10)          6 with value (4 15)           9 with value (4 20)
% 0.65/0.83  ;     9 with value (4 11)         53 with value (4 16)           1 with value (4 21)
% 0.65/0.83  ;     4 with value (4 12)          1 with value (4 17)           6 with value (4 22)
% 0.65/0.83  ;     6 with value (4 13)          8 with value (4 18)           4 with value (4 24)
% 0.65/0.83  ;    31 with value (4 14)
% 0.65/0.83  Evaluation took:
% 0.65/0.83    0.361 seconds of real time
% 0.65/0.83    0.348678 seconds of user run time
% 0.65/0.83    0.011997 seconds of system run time
% 0.65/0.83    [Run times include 0.009 seconds GC run time.]
% 0.65/0.83    0 calls to %EVAL
% 0.65/0.83    0 page faults and
% 0.65/0.83    32,261,392 bytes consed.
% 0.65/0.83  :PROOF-FOUND
% 0.65/0.83  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T19:12:38
% 0.65/0.83  :PROOF-FOUND
% 0.65/0.83  * 
%------------------------------------------------------------------------------