TSTP Solution File: ALG039+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : ALG039+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n021.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 : Thu Jul 14 17:59:43 EDT 2022

% Result   : Theorem 0.18s 0.54s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   12 (   8 unt;   3 nHn;  12 RR)
%            Number of literals    :   24 (  23 equ;   7 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(106,axiom,
    e0 != e1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).

cnf(107,axiom,
    e0 != e2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).

cnf(108,axiom,
    e0 != e3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).

cnf(112,axiom,
    op(e1,e1) = e0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).

cnf(132,negated_conjecture,
    ( op(e0,e0) = e0
    | op(e1,e1) = e1
    | op(e1,e1) = e2
    | op(e1,e1) = e3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(133,plain,
    op(e0,e0) = e0,
    inference('REWRITE',[status(thm)],[132,108,107,106,112,theory(equality)]) ).

cnf(134,negated_conjecture,
    ( op(e2,e2) = e0
    | op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e0,e0) = e3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(135,plain,
    op(e2,e2) = e0,
    inference('REWRITE',[status(thm)],[134,108,107,106,133,theory(equality)]) ).

cnf(136,negated_conjecture,
    ( op(e3,e3) = e0
    | op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e0,e0) = e3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(137,plain,
    op(e3,e3) = e0,
    inference('REWRITE',[status(thm)],[136,108,107,106,133,theory(equality)]) ).

cnf(138,negated_conjecture,
    ( op(e0,e0) != e0
    | op(e1,e1) != e0
    | op(e2,e2) != e0
    | op(e3,e3) != e0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(139,plain,
    $false,
    inference('REWRITE',[status(thm)],[138,137,135,112,133,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : ALG039+1 : TPTP v8.1.0. Released v2.7.0.
% 0.10/0.12  % Command  : run-snark %s %d
% 0.11/0.32  % Computer : n021.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Wed Jun  8 21:10:52 EDT 2022
% 0.11/0.32  % CPUTime  : 
% 0.18/0.43  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44  * 
% 0.18/0.44  * 
% 0.18/0.45  #<PACKAGE "SNARK-USER">
% 0.18/0.45  * 
% 0.18/0.45  SNARK-TPTP-OPTIONS
% 0.18/0.45  * 
% 0.18/0.45  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.45   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.45   (USE-FACTORING :POS)
% 0.18/0.45   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.45   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.45   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.45   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.45   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.45   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.45   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.45   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.45   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.45   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.45  * 
% 0.18/0.45  "."
% 0.18/0.45  * 
% 0.18/0.45  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-08T21:10:52
% 0.18/0.45  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-08T21:10:52
% 0.18/0.54  
% 0.18/0.54  
% 0.18/0.54  #||
% 0.18/0.54  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.54  % SZS output start Refutation
% See solution above
% 0.18/0.54  ||#
% 0.18/0.54  
% 0.18/0.54  ; Summary of computation:
% 0.18/0.54  ;       456 formulas have been input or derived (from 1 formulas).
% 0.18/0.54  ;       139 (30%) were retained.  Of these,
% 0.18/0.54  ;           87 (63%) were simplified or subsumed later,
% 0.18/0.54  ;           52 (37%) are still being kept.
% 0.18/0.54  ; 
% 0.18/0.54  ; Run time in seconds excluding printing time:
% 0.18/0.54  ;     0.019  20%   Read assertion file          (1 call)
% 0.18/0.55  ;     0.027  29%   Assert                       (7 calls)
% 0.18/0.55  ;     0.010  11%   Process new row              (370 calls)
% 0.18/0.55  ;     0.000   0%   Condensing                   (70 calls)
% 0.18/0.55  ;     0.004   4%   Forward subsumption          (70 calls)
% 0.18/0.55  ;     0.003   3%   Backward subsumption         (55 calls)
% 0.18/0.55  ;     0.000   0%   Clause clause subsumption    (85 calls)
% 0.18/0.55  ;     0.011  12%   Forward simplification       (370 calls)
% 0.18/0.55  ;     0.002   2%   Backward simplification      (123 calls)
% 0.18/0.55  ;     0.000   0%   Ordering                     (13 calls)
% 0.18/0.55  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.18/0.55  ;     0.000   0%   Purity testing               (1 call)
% 0.18/0.55  ;     0.017  18%   Other
% 0.18/0.55  ;     0.093        Total
% 0.18/0.55  ;     0.094        Real time
% 0.18/0.55  ; 
% 0.18/0.55  ; Term-hash-array has 154 terms in all.
% 0.18/0.55  ; Feature-vector-row-index has 12 entries (49 at peak, 55 added, 43 deleted).
% 0.18/0.55  ; Feature-vector-row-index has 57 nodes (214 at peak, 249 added, 192 deleted).
% 0.18/0.55  ;  Retrieved 41 possibly forward subsuming rows in 70 calls.
% 0.18/0.55  ;  Retrieved 44 possibly backward subsumed rows in 55 calls.
% 0.18/0.55  ; Path-index has 116 entries (159 at peak, 159 added, 43 deleted).
% 0.18/0.55  ; Path-index has 38 nodes (38 at peak, 38 added, 0 deleted).
% 0.18/0.55  ; Trie-index has 116 entries (159 at peak, 159 added, 43 deleted).
% 0.18/0.55  ; Trie-index has 184 nodes (252 at peak, 252 added, 68 deleted).
% 0.18/0.55  ; Retrieved 1,232 generalization terms in 2,108 calls.
% 0.18/0.55  ; Retrieved 67 instance terms in 67 calls.
% 0.18/0.55  ; 
% 0.18/0.55  ; The agenda of input rows to process has 3 entries:
% 0.18/0.55  ;     3 with value 0
% 0.18/0.55  ; The agenda of backward simplifiable rows to process has 67 entries:
% 0.18/0.55  ;    67 with value 0
% 0.18/0.55  ; The agenda of input rows to give has 51 entries:
% 0.18/0.55  ;     6 with value 4              20 with value 9               11 with value 28
% 0.18/0.55  ;    13 with value 7               1 with value 16
% 0.18/0.55  Evaluation took:
% 0.18/0.55    0.094 seconds of real time
% 0.18/0.55    0.088184 seconds of user run time
% 0.18/0.55    0.005893 seconds of system run time
% 0.18/0.55    0 calls to %EVAL
% 0.18/0.55    0 page faults and
% 0.18/0.55    5,134,384 bytes consed.
% 0.18/0.55  :PROOF-FOUND
% 0.18/0.55  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-08T21:10:52
% 0.18/0.55  :PROOF-FOUND
% 0.18/0.55  * 
%------------------------------------------------------------------------------