TSTP Solution File: RNG077+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : RNG077+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n018.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 20:40:43 EDT 2022

% Result   : Theorem 0.61s 0.83s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   14 (  10 unt;   0 nHn;  14 RR)
%            Number of literals    :   24 (   8 equ;  13 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   10 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(10,axiom,
    ( ~ aScalar0(X)
    | ~ aScalar0(Y)
    | aScalar0(sdtasdt0(X,Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulSc) ).

cnf(20,axiom,
    ( ~ aScalar0(X)
    | ~ aScalar0(Y)
    | ~ aScalar0(Z)
    | sdtpldt0(sdtpldt0(X,Y),Z) = sdtpldt0(X,sdtpldt0(Y,Z)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mArith) ).

cnf(24,axiom,
    ( ~ aScalar0(X)
    | ~ aScalar0(Y)
    | ~ aScalar0(Z)
    | sdtasdt0(X,Y) = sdtasdt0(Y,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mArith) ).

cnf(25,plain,
    ( ~ aScalar0(X)
    | ~ aScalar0(Y)
    | sdtasdt0(X,Y) = sdtasdt0(Y,X) ),
    inference('CONDENSE',[status(thm)],[24]) ).

cnf(72,hypothesis,
    aScalar0(xE),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1820) ).

cnf(78,hypothesis,
    aScalar0(xH),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1873) ).

cnf(82,hypothesis,
    aScalar0(xP),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1911) ).

cnf(83,hypothesis,
    xP = sdtasdt0(xE,xH),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1911) ).

cnf(91,negated_conjecture,
    sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) != sdtpldt0(sdtasdt0(xE,xH),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(92,plain,
    sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) != sdtpldt0(xP,sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),
    inference('REWRITE',[status(thm)],[91,83,theory(equality)]) ).

cnf(399,plain,
    aScalar0(sdtasdt0(xH,xH)),
    inference('HYPERRESOLVE',[status(thm)],[10,78,78]) ).

cnf(693,plain,
    sdtasdt0(xH,xE) = xP,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[25,78,72]),83,theory(equality)]) ).

cnf(694,plain,
    sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) != sdtpldt0(xP,sdtpldt0(xP,sdtasdt0(xH,xH))),
    inference('REWRITE',[status(thm)],[92,693,theory(equality)]) ).

cnf(1186,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[20,82,82,694]),399]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : RNG077+1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n018.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon May 30 22:23:57 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47  * 
% 0.19/0.47  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 0.19/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48   (USE-FACTORING :POS)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48  * 
% 0.19/0.48  "."
% 0.19/0.48  * 
% 0.19/0.48  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-30T22:23:57
% 0.19/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-05-30T22:23:57
% 0.61/0.83  
% 0.61/0.83  
% 0.61/0.83  #||
% 0.61/0.83  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.61/0.83  % SZS output start Refutation
% See solution above
% 0.61/0.83  ||#
% 0.61/0.83  
% 0.61/0.83  ; Summary of computation:
% 0.61/0.83  ;      7401 formulas have been input or derived (from 73 formulas).
% 0.61/0.83  ;      1186 (16%) were retained.  Of these,
% 0.61/0.83  ;           12 ( 1%) were simplified or subsumed later,
% 0.61/0.83  ;         1174 (99%) are still being kept.
% 0.61/0.83  ; 
% 0.61/0.83  ; Run time in seconds excluding printing time:
% 0.61/0.83  ;     0.013   4%   Read assertion file          (1 call)
% 0.61/0.83  ;     0.003   1%   Assert                       (59 calls)
% 0.61/0.83  ;     0.067  19%   Process new row              (2,975 calls)
% 0.61/0.83  ;     0.174  49%   Resolution                   (144 calls)
% 0.61/0.83  ;     0.001   0%   Paramodulation               (72 calls)
% 0.61/0.83  ;     0.003   1%   Condensing                   (204 calls)
% 0.61/0.83  ;     0.004   1%   Forward subsumption          (204 calls)
% 0.61/0.83  ;     0.001   0%   Backward subsumption         (130 calls)
% 0.61/0.83  ;     0.000   0%   Clause clause subsumption    (117 calls)
% 0.61/0.83  ;     0.033   9%   Forward simplification       (2,975 calls)
% 0.61/0.83  ;     0.006   2%   Backward simplification      (1,182 calls)
% 0.61/0.83  ;     0.003   1%   Ordering                     (926 calls)
% 0.61/0.83  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.61/0.83  ;     0.000   0%   Purity testing               (1 call)
% 0.61/0.83  ;     0.048  13%   Other
% 0.61/0.83  ;     0.356        Total
% 0.61/0.83  ;     0.358        Real time
% 0.61/0.83  ; 
% 0.61/0.83  ; Term-hash-array has 2,350 terms in all.
% 0.61/0.83  ; Feature-vector-row-index has 129 entries (129 at peak, 130 added, 1 deleted).
% 0.61/0.83  ; Feature-vector-row-index has 354 nodes (354 at peak, 361 added, 7 deleted).
% 0.61/0.83  ;  Retrieved 188 possibly forward subsuming rows in 204 calls.
% 0.61/0.83  ;  Retrieved 46 possibly backward subsumed rows in 130 calls.
% 0.61/0.83  ; Path-index has 2,359 entries (2,359 at peak, 2,368 added, 9 deleted).
% 0.61/0.83  ; Path-index has 982 nodes (982 at peak, 994 added, 12 deleted).
% 0.61/0.83  ; Trie-index has 2,359 entries (2,359 at peak, 2,368 added, 9 deleted).
% 0.61/0.83  ; Trie-index has 4,978 nodes (4,978 at peak, 5,010 added, 32 deleted).
% 0.61/0.83  ; Retrieved 2,343 generalization terms in 9,261 calls.
% 0.61/0.83  ; Retrieved 1,051 instance terms in 1,051 calls.
% 0.61/0.83  ; Retrieved 405,263 unifiable terms in 14,950 calls.
% 0.61/0.83  ; 
% 0.61/0.83  ; The agenda of rows to process has 4394 entries:
% 0.61/0.83  ;  4394 with value 15
% 0.61/0.83  ; The agenda of input rows to give has 16 entries:
% 0.61/0.83  ;     1 with value 23              3 with value 27               1 with value 39
% 0.61/0.83  ;     1 with value 24              2 with value 29               1 with value 41
% 0.61/0.83  ;     2 with value 25              2 with value 33               1 with value 43
% 0.61/0.83  ;     1 with value 26              1 with value 38
% 0.61/0.83  ; The agenda of rows to give has 1086 entries:
% 0.61/0.83  ;    17 with value (4 5)          86 with value (4 9)            2 with value (4 12)
% 0.61/0.83  ;    16 with value (4 6)         175 with value (4 10)         396 with value (4 13)
% 0.61/0.83  ;   287 with value (4 7)          36 with value (4 11)           2 with value (4 17)
% 0.61/0.83  ;    69 with value (4 8)
% 0.61/0.83  Evaluation took:
% 0.61/0.83    0.359 seconds of real time
% 0.61/0.83    0.331348 seconds of user run time
% 0.61/0.83    0.027055 seconds of system run time
% 0.61/0.83    [Run times include 0.012 seconds GC run time.]
% 0.61/0.83    0 calls to %EVAL
% 0.61/0.83    0 page faults and
% 0.61/0.83    23,153,632 bytes consed.
% 0.61/0.83  :PROOF-FOUND
% 0.61/0.84  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-30T22:23:58
% 0.61/0.84  :PROOF-FOUND
% 0.61/0.84  * 
%------------------------------------------------------------------------------