TSTP Solution File: ALG174+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : ALG174+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n027.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 18:00:05 EDT 2022

% Result   : Theorem 1.41s 1.65s
% Output   : Refutation 1.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   10 (  10 unt;   0 nHn;  10 RR)
%            Number of literals    :   10 (   9 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(89,axiom,
    op(op(e3,e2),op(e2,e3)) = e2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).

cnf(210,axiom,
    e3 != e4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).

cnf(213,axiom,
    op(e3,e3) = e2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).

cnf(214,axiom,
    e4 = op(e3,op(e3,e3)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).

cnf(215,plain,
    op(e3,e2) = e4,
    inference('REWRITE',[status(thm)],[214,213,theory(equality)]) ).

cnf(2110,negated_conjecture,
    op(op(e3,e3),e3) = e3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(2111,plain,
    op(e2,e3) = e3,
    inference('REWRITE',[status(thm)],[2110,213,theory(equality)]) ).

cnf(2115,negated_conjecture,
    op(op(e4,e3),e3) = e4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(2308,plain,
    op(e4,e3) = e2,
    inference('REWRITE',[status(thm)],[89,2111,215,theory(equality)]) ).

cnf(2326,plain,
    $false,
    inference('REWRITE',[status(thm)],[2115,210,2111,2308,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : ALG174+1 : TPTP v8.1.0. Released v2.7.0.
% 0.06/0.12  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n027.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Wed Jun  8 02:26:26 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45  * 
% 0.18/0.45  * 
% 0.18/0.46  #<PACKAGE "SNARK-USER">
% 0.18/0.46  * 
% 0.18/0.46  SNARK-TPTP-OPTIONS
% 0.18/0.46  * 
% 0.18/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46   (USE-FACTORING :POS)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46  * 
% 0.18/0.46  "."
% 0.18/0.46  * 
% 0.18/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-08T02:26:26
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-08T02:26:26
% 1.41/1.65  
% 1.41/1.65  
% 1.41/1.65  #||
% 1.41/1.65  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.41/1.65  % SZS output start Refutation
% See solution above
% 1.41/1.65  ||#
% 1.41/1.65  
% 1.41/1.65  ; Summary of computation:
% 1.41/1.65  ;      4154 formulas have been input or derived (from 1 formulas).
% 1.41/1.65  ;      2326 (56%) were retained.  Of these,
% 1.41/1.65  ;         1990 (86%) were simplified or subsumed later,
% 1.41/1.65  ;          336 (14%) are still being kept.
% 1.41/1.65  ; 
% 1.41/1.65  ; Run time in seconds:
% 1.41/1.65  ;     0.036   3%   Read assertion file          (1 call)
% 1.41/1.65  ;     0.144  12%   Assert                       (7 calls)
% 1.41/1.65  ;     0.192  16%   Process new row              (4,115 calls)
% 1.41/1.65  ;     0.004   0%   Condensing                   (2,137 calls)
% 1.41/1.65  ;     0.168  14%   Forward subsumption          (2,137 calls)
% 1.41/1.65  ;     0.159  13%   Backward subsumption         (2,137 calls)
% 1.41/1.65  ;     0.232  19%   Clause clause subsumption    (55,220 calls)
% 1.41/1.65  ;     0.142  12%   Forward simplification       (4,115 calls)
% 1.41/1.65  ;     0.076   6%   Backward simplification      (2,323 calls)
% 1.41/1.65  ;     0.000   0%   Ordering                     (58 calls)
% 1.41/1.65  ;     0.000   0%   Sortal reasoning             (32 calls)
% 1.41/1.65  ;     0.005   0%   Purity testing               (1 call)
% 1.41/1.65  ;     0.034   3%   Other
% 1.41/1.65  ;     1.192        Total
% 1.41/1.65  ;     1.193        Real time
% 1.41/1.65  ; 
% 1.41/1.65  ; Term-hash-array has 367 terms in all.
% 1.41/1.65  ; Feature-vector-row-index has 196 entries (1,933 at peak, 2,137 added, 1,941 deleted).
% 1.41/1.65  ; Feature-vector-row-index has 726 nodes (1,376 at peak, 2,073 added, 1,347 deleted).
% 1.41/1.65  ;  Retrieved 24,640 possibly forward subsuming rows in 2,137 calls.
% 1.41/1.65  ;  Retrieved 30,580 possibly backward subsumed rows in 2,137 calls.
% 1.41/1.65  ; Path-index has 295 entries (320 at peak, 376 added, 81 deleted).
% 1.41/1.65  ; Path-index has 102 nodes (110 at peak, 110 added, 8 deleted).
% 1.41/1.65  ; Trie-index has 295 entries (320 at peak, 376 added, 81 deleted).
% 1.41/1.65  ; Trie-index has 580 nodes (671 at peak, 763 added, 183 deleted).
% 1.41/1.65  ; Retrieved 3,343 generalization terms in 37,811 calls.
% 1.41/1.65  ; Retrieved 185 instance terms in 185 calls.
% 1.41/1.65  ; 
% 1.41/1.65  ; The agenda of backward simplifiable rows to process has 36 entries:
% 1.41/1.65  ;    36 with value 0
% 1.41/1.65  ; The agenda of input rows to give has 335 entries:
% 1.41/1.65  ;    10 with value 4              24 with value 10             159 with value 28
% 1.41/1.65  ;    21 with value 7              18 with value 12              24 with value 35
% 1.41/1.65  ;    66 with value 9              13 with value 21
% 1.41/1.65  Evaluation took:
% 1.41/1.65    1.193 seconds of real time
% 1.41/1.65    1.072563 seconds of user run time
% 1.41/1.65    0.120293 seconds of system run time
% 1.41/1.65    [Run times include 0.049 seconds GC run time.]
% 1.41/1.65    0 calls to %EVAL
% 1.41/1.65    0 page faults and
% 1.41/1.65    119,625,512 bytes consed.
% 1.41/1.65  :PROOF-FOUND
% 1.41/1.65  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-08T02:26:27
% 1.41/1.65  :PROOF-FOUND
% 1.41/1.65  * 
%------------------------------------------------------------------------------