TSTP Solution File: COM012+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : COM012+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n004.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 01:42:41 EDT 2022

% Result   : Theorem 0.21s 0.55s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   16 (  10 unt;   4 nHn;  16 RR)
%            Number of literals    :   34 (   6 equ;  16 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   10 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(7,axiom,
    ( ~ aElement0(X)
    | ~ aRewritingSystem0(Y)
    | ~ aElement0(Z)
    | ~ aElement0(U)
    | ~ sdtmndtplgtdt0(X,Y,Z)
    | ~ sdtmndtplgtdt0(Z,Y,U)
    | sdtmndtplgtdt0(X,Y,U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTCTrans) ).

cnf(8,axiom,
    ( ~ aElement0(X)
    | ~ aRewritingSystem0(Y)
    | ~ aElement0(Z)
    | ~ sdtmndtasgtdt0(X,Y,Z)
    | X = Z
    | sdtmndtplgtdt0(X,Y,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(11,hypothesis,
    aElement0(xx),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__349) ).

cnf(12,hypothesis,
    aRewritingSystem0(xR),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__349) ).

cnf(13,hypothesis,
    aElement0(xy),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__349) ).

cnf(14,hypothesis,
    aElement0(xz),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__349) ).

cnf(15,negated_conjecture,
    sdtmndtasgtdt0(xx,xR,xy),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(16,negated_conjecture,
    sdtmndtasgtdt0(xy,xR,xz),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(17,negated_conjecture,
    ~ sdtmndtasgtdt0(xx,xR,xz),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(22,plain,
    ~ sdtmndtplgtdt0(xx,xR,xz),
    inference('UR-RESOLVE',[status(thm)],[10,11,12,14,17]) ).

cnf(23,plain,
    ( xy = xz
    | sdtmndtplgtdt0(xy,xR,xz) ),
    inference('HYPERRESOLVE',[status(thm)],[8,13,12,14,16]) ).

cnf(24,plain,
    ( xx = xy
    | sdtmndtplgtdt0(xx,xR,xy) ),
    inference('HYPERRESOLVE',[status(thm)],[8,11,12,13,15]) ).

cnf(29,plain,
    ( xx = xy
    | xy = xz ),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[7,24,11,12,13,14,23]),22]) ).

cnf(36,plain,
    xx = xy,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[17,29,theory(equality)]),15]) ).

cnf(37,plain,
    $false,
    inference('REWRITE',[status(thm)],[16,17,36,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14  % Problem  : COM012+1 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.15  % Command  : run-snark %s %d
% 0.14/0.36  % Computer : n004.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Thu Jun 16 19:38:09 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.21/0.49  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.50  * 
% 0.21/0.50  * 
% 0.21/0.51  #<PACKAGE "SNARK-USER">
% 0.21/0.51  * 
% 0.21/0.51  SNARK-TPTP-OPTIONS
% 0.21/0.51  * 
% 0.21/0.51  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.51   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.51   (USE-FACTORING :POS)
% 0.21/0.51   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.51   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.51   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.51   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.51   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.51   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.51   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.51   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.51   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.51   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.51  * 
% 0.21/0.51  "."
% 0.21/0.51  * 
% 0.21/0.51  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T19:38:09
% 0.21/0.51  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-06-16T19:38:09
% 0.21/0.55  
% 0.21/0.55  
% 0.21/0.55  #||
% 0.21/0.55  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.55  % SZS output start Refutation
% See solution above
% 0.21/0.55  ||#
% 0.21/0.55  
% 0.21/0.55  ; Summary of computation:
% 0.21/0.55  ;        67 formulas have been input or derived (from 27 formulas).
% 0.21/0.55  ;        37 (55%) were retained.  Of these,
% 0.21/0.55  ;           16 (43%) were simplified or subsumed later,
% 0.21/0.55  ;           21 (57%) are still being kept.
% 0.21/0.55  ; 
% 0.21/0.55  ; Run time in seconds excluding printing time:
% 0.21/0.55  ;     0.003   8%   Read assertion file          (1 call)
% 0.21/0.55  ;     0.001   3%   Assert                       (10 calls)
% 0.21/0.55  ;     0.004  11%   Process new row              (52 calls)
% 0.21/0.55  ;     0.006  16%   Resolution                   (52 calls)
% 0.21/0.55  ;     0.000   0%   Paramodulation               (26 calls)
% 0.21/0.55  ;     0.000   0%   Factoring                    (3 calls)
% 0.21/0.55  ;     0.000   0%   Condensing                   (22 calls)
% 0.21/0.55  ;     0.000   0%   Forward subsumption          (22 calls)
% 0.21/0.55  ;     0.001   3%   Backward subsumption         (22 calls)
% 0.21/0.55  ;     0.000   0%   Clause clause subsumption    (3 calls)
% 0.21/0.55  ;     0.000   0%   Forward simplification       (52 calls)
% 0.21/0.55  ;     0.000   0%   Backward simplification      (37 calls)
% 0.21/0.55  ;     0.000   0%   Ordering                     (29 calls)
% 0.21/0.55  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.21/0.55  ;     0.000   0%   Purity testing               (1 call)
% 0.21/0.55  ;     0.023  61%   Other
% 0.21/0.55  ;     0.038        Total
% 0.21/0.55  ;     0.040        Real time
% 0.21/0.55  ; 
% 0.21/0.55  ; Term-hash-array has 44 terms in all.
% 0.21/0.55  ; Feature-vector-row-index has 10 entries (22 at peak, 22 added, 12 deleted).
% 0.21/0.55  ; Feature-vector-row-index has 35 nodes (142 at peak, 142 added, 107 deleted).
% 0.21/0.55  ;  Retrieved 3 possibly forward subsuming rows in 22 calls.
% 0.21/0.55  ;  Retrieved 0 possibly backward subsumed rows in 22 calls.
% 0.21/0.55  ; Path-index has 30 entries (48 at peak, 48 added, 18 deleted).
% 0.21/0.55  ; Path-index has 77 nodes (104 at peak, 104 added, 27 deleted).
% 0.21/0.55  ; Trie-index has 30 entries (48 at peak, 48 added, 18 deleted).
% 0.21/0.55  ; Trie-index has 63 nodes (113 at peak, 113 added, 50 deleted).
% 0.21/0.55  ; Retrieved 14 generalization terms in 61 calls.
% 0.21/0.55  ; Retrieved 14 instance terms in 14 calls.
% 0.21/0.55  ; Retrieved 2,631 unifiable terms in 1,153 calls.
% 0.21/0.55  ; 
% 0.21/0.55  ; The agenda of backward simplifiable rows to process has 13 entries:
% 0.21/0.55  ;    13 with value 0
% 0.21/0.55  ; The agenda of rows to process has 2 entries:
% 0.21/0.55  ;     1 with value 12              1 with value 16
% 0.21/0.55  ; The agenda of rows to give has 1 entry:
% 0.21/0.55  ;     1 with value (4 7)
% 0.21/0.55  Evaluation took:
% 0.21/0.55    0.041 seconds of real time
% 0.21/0.55    0.034654 seconds of user run time
% 0.21/0.55    0.006322 seconds of system run time
% 0.21/0.55    0 calls to %EVAL
% 0.21/0.55    0 page faults and
% 0.21/0.55    2,800,824 bytes consed.
% 0.21/0.55  :PROOF-FOUND
% 0.21/0.55  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T19:38:09
% 0.21/0.55  :PROOF-FOUND
% 0.21/0.55  * 
%------------------------------------------------------------------------------