TSTP Solution File: COM023+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : COM023+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n011.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 01:42:46 EDT 2022

% Result   : Theorem 1.07s 1.24s
% Output   : Refutation 1.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   20 (  11 unt;   5 nHn;  20 RR)
%            Number of literals    :   49 (   0 equ;  25 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   1 con; 0-2 aty)
%            Number of variables   :   16 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(15,axiom,
    ( ~ aRewritingSystem0(X)
    | isConfluent0(X)
    | aElement0('SKOLEMAAAV3'(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCRDef) ).

cnf(16,axiom,
    ( ~ aRewritingSystem0(X)
    | isConfluent0(X)
    | aElement0('SKOLEMAAAV4'(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCRDef) ).

cnf(17,axiom,
    ( ~ aRewritingSystem0(X)
    | isConfluent0(X)
    | aElement0('SKOLEMAAAV5'(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCRDef) ).

cnf(18,axiom,
    ( ~ aRewritingSystem0(X)
    | isConfluent0(X)
    | sdtmndtasgtdt0('SKOLEMAAAV3'(X),X,'SKOLEMAAAV4'(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCRDef) ).

cnf(19,axiom,
    ( ~ aRewritingSystem0(X)
    | isConfluent0(X)
    | sdtmndtasgtdt0('SKOLEMAAAV3'(X),X,'SKOLEMAAAV5'(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCRDef) ).

cnf(20,axiom,
    ( ~ aRewritingSystem0(X)
    | isConfluent0(X)
    | ~ aElement0(Y)
    | ~ sdtmndtasgtdt0('SKOLEMAAAV4'(X),X,Y)
    | ~ sdtmndtasgtdt0('SKOLEMAAAV5'(X),X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCRDef) ).

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

cnf(43,hypothesis,
    ( ~ aElement0(X)
    | ~ aElement0(Y)
    | ~ aElement0(Z)
    | ~ sdtmndtasgtdt0(X,xR,Y)
    | ~ sdtmndtasgtdt0(X,xR,Z)
    | aElement0('SKOLEMAAAV14'(Y,Z)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__715) ).

cnf(44,hypothesis,
    ( ~ aElement0(X)
    | ~ aElement0(Y)
    | ~ aElement0(Z)
    | ~ sdtmndtasgtdt0(X,xR,Y)
    | ~ sdtmndtasgtdt0(X,xR,Z)
    | sdtmndtasgtdt0(Y,xR,'SKOLEMAAAV14'(Y,Z)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__715) ).

cnf(45,hypothesis,
    ( ~ aElement0(X)
    | ~ aElement0(Y)
    | ~ aElement0(Z)
    | ~ sdtmndtasgtdt0(X,xR,Y)
    | ~ sdtmndtasgtdt0(X,xR,Z)
    | sdtmndtasgtdt0(Z,xR,'SKOLEMAAAV14'(Y,Z)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__715) ).

cnf(46,negated_conjecture,
    ~ isConfluent0(xR),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(47,plain,
    aElement0('SKOLEMAAAV3'(xR)),
    inference('UR-RESOLVE',[status(thm)],[15,40,46]) ).

cnf(48,plain,
    aElement0('SKOLEMAAAV4'(xR)),
    inference('UR-RESOLVE',[status(thm)],[16,40,46]) ).

cnf(49,plain,
    aElement0('SKOLEMAAAV5'(xR)),
    inference('UR-RESOLVE',[status(thm)],[17,40,46]) ).

cnf(50,plain,
    sdtmndtasgtdt0('SKOLEMAAAV3'(xR),xR,'SKOLEMAAAV4'(xR)),
    inference('UR-RESOLVE',[status(thm)],[18,40,46]) ).

cnf(51,plain,
    sdtmndtasgtdt0('SKOLEMAAAV3'(xR),xR,'SKOLEMAAAV5'(xR)),
    inference('UR-RESOLVE',[status(thm)],[19,40,46]) ).

cnf(63,plain,
    aElement0('SKOLEMAAAV14'('SKOLEMAAAV5'(xR),'SKOLEMAAAV4'(xR))),
    inference('HYPERRESOLVE',[status(thm)],[43,51,47,49,48,50]) ).

cnf(66,plain,
    sdtmndtasgtdt0('SKOLEMAAAV4'(xR),xR,'SKOLEMAAAV14'('SKOLEMAAAV5'(xR),'SKOLEMAAAV4'(xR))),
    inference('HYPERRESOLVE',[status(thm)],[45,51,47,49,48,50]) ).

cnf(67,plain,
    sdtmndtasgtdt0('SKOLEMAAAV5'(xR),xR,'SKOLEMAAAV14'('SKOLEMAAAV5'(xR),'SKOLEMAAAV4'(xR))),
    inference('HYPERRESOLVE',[status(thm)],[44,51,47,49,48,50]) ).

cnf(225,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[20,66,40,46,63]),67]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : COM023+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.14  % Command  : run-snark %s %d
% 0.14/0.35  % Computer : n011.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Thu Jun 16 18:43:21 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.21/0.48  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.49  * 
% 0.21/0.49  * 
% 0.21/0.49  #<PACKAGE "SNARK-USER">
% 0.21/0.49  * 
% 0.21/0.49  SNARK-TPTP-OPTIONS
% 0.21/0.49  * 
% 0.21/0.50  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.50   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.50   (USE-FACTORING :POS)
% 0.21/0.50   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.50   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.50   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.50   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.50   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.50   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.50   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.50   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.50   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.50   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.50  * 
% 0.21/0.50  "."
% 0.21/0.50  * 
% 0.21/0.50  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T18:43:21
% 0.21/0.50  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-06-16T18:43:21
% 1.07/1.24  
% 1.07/1.24  
% 1.07/1.24  #||
% 1.07/1.24  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.07/1.24  % SZS output start Refutation
% See solution above
% 1.07/1.24  ||#
% 1.07/1.24  
% 1.07/1.24  ; Summary of computation:
% 1.07/1.24  ;       550 formulas have been input or derived (from 99 formulas).
% 1.07/1.24  ;       225 (41%) were retained.  Of these,
% 1.07/1.24  ;            2 ( 1%) were simplified or subsumed later,
% 1.07/1.24  ;          223 (99%) are still being kept.
% 1.07/1.24  ; 
% 1.07/1.24  ; Run time in seconds excluding printing time:
% 1.07/1.24  ;     0.006   1%   Read assertion file          (1 call)
% 1.07/1.24  ;     0.003   0%   Assert                       (18 calls)
% 1.07/1.24  ;     0.018   2%   Process new row              (386 calls)
% 1.07/1.24  ;     0.680  92%   Resolution                   (196 calls)
% 1.07/1.24  ;     0.000   0%   Paramodulation               (98 calls)
% 1.07/1.24  ;     0.001   0%   Condensing                   (59 calls)
% 1.07/1.24  ;     0.001   0%   Forward subsumption          (59 calls)
% 1.07/1.24  ;     0.002   0%   Backward subsumption         (59 calls)
% 1.07/1.24  ;     0.000   0%   Clause clause subsumption    (12 calls)
% 1.07/1.24  ;     0.007   1%   Forward simplification       (386 calls)
% 1.07/1.24  ;     0.001   0%   Backward simplification      (225 calls)
% 1.07/1.24  ;     0.000   0%   Ordering                     (15 calls)
% 1.07/1.24  ;     0.000   0%   Sortal reasoning             (32 calls)
% 1.07/1.24  ;     0.000   0%   Purity testing               (1 call)
% 1.07/1.24  ;     0.023   3%   Other
% 1.07/1.24  ;     0.742        Total
% 1.07/1.24  ;     0.744        Real time
% 1.07/1.24  ; 
% 1.07/1.24  ; Term-hash-array has 304 terms in all.
% 1.07/1.24  ; Feature-vector-row-index has 57 entries (57 at peak, 59 added, 2 deleted).
% 1.07/1.24  ; Feature-vector-row-index has 231 nodes (231 at peak, 242 added, 11 deleted).
% 1.07/1.24  ;  Retrieved 10 possibly forward subsuming rows in 59 calls.
% 1.07/1.24  ;  Retrieved 4 possibly backward subsumed rows in 59 calls.
% 1.07/1.24  ; Path-index has 305 entries (305 at peak, 307 added, 2 deleted).
% 1.07/1.24  ; Path-index has 659 nodes (659 at peak, 659 added, 0 deleted).
% 1.07/1.24  ; Trie-index has 305 entries (305 at peak, 307 added, 2 deleted).
% 1.07/1.24  ; Trie-index has 1,153 nodes (1,153 at peak, 1,157 added, 4 deleted).
% 1.07/1.24  ; Retrieved 164 generalization terms in 348 calls.
% 1.07/1.24  ; Retrieved 165 instance terms in 165 calls.
% 1.07/1.24  ; Retrieved 756,392 unifiable terms in 189,728 calls.
% 1.07/1.24  ; 
% 1.07/1.24  ; The agenda of rows to process has 40 entries:
% 1.07/1.24  ;     5 with value 16              4 with value 22               1 with value 26
% 1.07/1.24  ;     1 with value 17             16 with value 25               1 with value 33
% 1.07/1.24  ;    12 with value 19
% 1.07/1.24  ; The agenda of rows to give has 124 entries:
% 1.07/1.24  ;     6 with value (4 14)         11 with value (4 19)           4 with value (4 24)
% 1.07/1.24  ;    23 with value (4 15)          3 with value (4 20)           2 with value (4 25)
% 1.07/1.24  ;     6 with value (4 16)          8 with value (4 21)           2 with value (4 26)
% 1.07/1.24  ;    14 with value (4 17)         12 with value (4 22)           2 with value (4 33)
% 1.07/1.24  ;    31 with value (4 18)
% 1.07/1.24  Evaluation took:
% 1.07/1.24    0.744 seconds of real time
% 1.07/1.24    0.735931 seconds of user run time
% 1.07/1.24    0.008109 seconds of system run time
% 1.07/1.24    [Run times include 0.015 seconds GC run time.]
% 1.07/1.24    0 calls to %EVAL
% 1.07/1.24    0 page faults and
% 1.07/1.24    86,894,312 bytes consed.
% 1.07/1.24  :PROOF-FOUND
% 1.07/1.24  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T18:43:22
% 1.07/1.24  :PROOF-FOUND
% 1.07/1.24  * 
%------------------------------------------------------------------------------