TSTP Solution File: RNG088+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : RNG088+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n025.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 20:40:45 EDT 2022

% Result   : Theorem 0.38s 0.55s
% Output   : Refutation 0.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   11 (   9 unt;   0 nHn;  11 RR)
%            Number of literals    :   15 (   0 equ;   6 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    3 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(46,axiom,
    ( ~ aIdeal0(X)
    | ~ aElementOf0(Y,X)
    | ~ aElementOf0(Z,X)
    | aElementOf0(sdtpldt0(Y,Z),X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefIdeal) ).

cnf(53,hypothesis,
    aIdeal0(xI),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__870) ).

cnf(54,hypothesis,
    aIdeal0(xJ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__870) ).

cnf(58,hypothesis,
    aElementOf0(xk,xI),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__934) ).

cnf(59,hypothesis,
    aElementOf0(xl,xJ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__934) ).

cnf(61,hypothesis,
    aElementOf0(xm,xI),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__967) ).

cnf(62,hypothesis,
    aElementOf0(xn,xJ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__967) ).

cnf(64,negated_conjecture,
    ( ~ aElementOf0(sdtpldt0(xk,xm),xI)
    | ~ aElementOf0(sdtpldt0(xl,xn),xJ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

cnf(114,plain,
    aElementOf0(sdtpldt0(xl,xn),xJ),
    inference('HYPERRESOLVE',[status(thm)],[46,54,59,62]) ).

cnf(115,plain,
    ~ aElementOf0(sdtpldt0(xk,xm),xI),
    inference('REWRITE',[status(thm)],[64,114]) ).

cnf(119,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[46,53,58,61]),115]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : RNG088+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.15/0.35  % Computer : n025.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 600
% 0.15/0.35  % DateTime : Mon May 30 22:21:42 EDT 2022
% 0.15/0.35  % CPUTime  : 
% 0.21/0.47  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.48  * 
% 0.21/0.48  * 
% 0.21/0.49  #<PACKAGE "SNARK-USER">
% 0.21/0.49  * 
% 0.21/0.49  SNARK-TPTP-OPTIONS
% 0.21/0.49  * 
% 0.21/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49   (USE-FACTORING :POS)
% 0.21/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49  * 
% 0.21/0.49  "."
% 0.21/0.49  * 
% 0.21/0.49  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T22:21:42
% 0.21/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-05-30T22:21:42
% 0.38/0.55  
% 0.38/0.55  
% 0.38/0.55  #||
% 0.38/0.55  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/0.55  % SZS output start Refutation
% See solution above
% 0.38/0.55  ||#
% 0.38/0.55  
% 0.38/0.55  ; Summary of computation:
% 0.38/0.55  ;       249 formulas have been input or derived (from 39 formulas).
% 0.38/0.55  ;       119 (48%) were retained.  Of these,
% 0.38/0.55  ;            1 ( 1%) were simplified or subsumed later,
% 0.38/0.55  ;          118 (99%) are still being kept.
% 0.38/0.55  ; 
% 0.38/0.55  ; Run time in seconds:
% 0.38/0.55  ;     0.007  12%   Read assertion file          (1 call)
% 0.38/0.55  ;     0.003   5%   Assert                       (29 calls)
% 0.38/0.55  ;     0.009  15%   Process new row              (239 calls)
% 0.38/0.55  ;     0.007  12%   Resolution                   (76 calls)
% 0.38/0.55  ;     0.000   0%   Paramodulation               (38 calls)
% 0.38/0.55  ;     0.002   3%   Condensing                   (50 calls)
% 0.38/0.55  ;     0.002   3%   Forward subsumption          (50 calls)
% 0.38/0.55  ;     0.001   2%   Backward subsumption         (50 calls)
% 0.38/0.55  ;     0.000   0%   Clause clause subsumption    (25 calls)
% 0.38/0.55  ;     0.004   7%   Forward simplification       (239 calls)
% 0.38/0.55  ;     0.001   2%   Backward simplification      (119 calls)
% 0.38/0.55  ;     0.000   0%   Ordering                     (48 calls)
% 0.38/0.55  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.38/0.55  ;     0.000   0%   Purity testing               (1 call)
% 0.38/0.55  ;     0.023  39%   Other
% 0.38/0.55  ;     0.059        Total
% 0.38/0.55  ;     0.059        Real time
% 0.38/0.55  ; 
% 0.38/0.55  ; Term-hash-array has 232 terms in all.
% 0.38/0.55  ; Feature-vector-row-index has 49 entries (50 at peak, 50 added, 1 deleted).
% 0.38/0.55  ; Feature-vector-row-index has 170 nodes (184 at peak, 184 added, 14 deleted).
% 0.38/0.55  ;  Retrieved 17 possibly forward subsuming rows in 50 calls.
% 0.38/0.55  ;  Retrieved 8 possibly backward subsumed rows in 50 calls.
% 0.38/0.55  ; Path-index has 243 entries (243 at peak, 245 added, 2 deleted).
% 0.38/0.55  ; Path-index has 490 nodes (490 at peak, 493 added, 3 deleted).
% 0.38/0.55  ; Trie-index has 243 entries (243 at peak, 245 added, 2 deleted).
% 0.38/0.55  ; Trie-index has 570 nodes (570 at peak, 574 added, 4 deleted).
% 0.38/0.55  ; Retrieved 153 generalization terms in 415 calls.
% 0.38/0.55  ; Retrieved 68 instance terms in 68 calls.
% 0.38/0.55  ; Retrieved 3,011 unifiable terms in 396 calls.
% 0.38/0.55  ; 
% 0.38/0.55  ; The agenda of rows to process has 10 entries:
% 0.38/0.55  ;    10 with value 8
% 0.38/0.55  ; The agenda of input rows to give has 27 entries:
% 0.38/0.55  ;     1 with value 7               4 with value 24               5 with value 32
% 0.38/0.55  ;     4 with value 21              5 with value 25               1 with value 40
% 0.38/0.55  ;     1 with value 22              1 with value 26               1 with value 41
% 0.38/0.55  ;     2 with value 23              1 with value 31               1 with value 42
% 0.38/0.55  ; The agenda of rows to give has 53 entries:
% 0.38/0.55  ;     2 with value (4 4)           5 with value (4 7)            7 with value (4 10)
% 0.38/0.55  ;     3 with value (4 6)          30 with value (4 8)            6 with value (4 11)
% 0.38/0.55  Evaluation took:
% 0.38/0.55    0.059 seconds of real time
% 0.38/0.55    0.050136 seconds of user run time
% 0.38/0.55    0.009532 seconds of system run time
% 0.38/0.55    0 calls to %EVAL
% 0.38/0.55    0 page faults and
% 0.38/0.55    3,165,344 bytes consed.
% 0.38/0.55  :PROOF-FOUND
% 0.38/0.55  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T22:21:43
% 0.38/0.55  :PROOF-FOUND
% 0.38/0.55  * 
%------------------------------------------------------------------------------