TSTP Solution File: SYN553-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN553-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n020.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 21 12:01:39 EDT 2022

% Result   : Unsatisfiable 0.39s 0.55s
% Output   : Refutation 0.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   11 (   9 unt;   0 nHn;   5 RR)
%            Number of literals    :   15 (   0 equ;   6 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   22 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p2_1,negated_conjecture,
    p2(X,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_1) ).

cnf(p2_5,negated_conjecture,
    p2(f8(X,Y),f8(Y,X)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_5) ).

cnf(p2_6,negated_conjecture,
    ( p2(X,Y)
    | ~ p2(X,Z)
    | ~ p2(Z,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_6) ).

cnf(p2_7,negated_conjecture,
    p2(f8(X,f8(Y,Z)),f8(f8(X,Y),Z)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_7) ).

cnf(p2_8,negated_conjecture,
    ( p2(f8(X,Y),f8(Z,U))
    | ~ p2(X,Z)
    | ~ p2(Y,U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_8) ).

cnf(not_p2_9,negated_conjecture,
    ~ p2(f8(f8(f9(c4),c4),f9(c3)),f8(f9(c4),f8(f9(c3),c4))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_9) ).

cnf(10,plain,
    p2(f8(X,f8(Y,Z)),f8(Z,f8(X,Y))),
    inference('HYPERRESOLVE',[status(thm)],[p2_6,p2_7,p2_5]) ).

cnf(17,plain,
    p2(f8(X,f8(Y,Z)),f8(X,f8(Z,Y))),
    inference('HYPERRESOLVE',[status(thm)],[p2_8,p2_1,p2_5]) ).

cnf(29,plain,
    ~ p2(f8(f9(c3),f8(f9(c4),c4)),f8(f9(c4),f8(f9(c3),c4))),
    inference('UR-RESOLVE',[status(thm)],[p2_6,not_p2_9,p2_5]) ).

cnf(183,plain,
    p2(f8(X,f8(Y,Z)),f8(Y,f8(X,Z))),
    inference('HYPERRESOLVE',[status(thm)],[p2_6,17,10]) ).

cnf(184,plain,
    $false,
    inference('REWRITE',[status(thm)],[29,183]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SYN553-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n020.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Mon Jul 11 14:01:43 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.21/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.47  * 
% 0.21/0.47  * 
% 0.21/0.48  #<PACKAGE "SNARK-USER">
% 0.21/0.48  * 
% 0.21/0.48  SNARK-TPTP-OPTIONS
% 0.21/0.48  * 
% 0.21/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48   (USE-FACTORING :POS)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48  * 
% 0.21/0.48  "."
% 0.21/0.48  * 
% 0.21/0.48  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T14:01:43
% 0.21/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-07-11T14:01:43
% 0.39/0.55  
% 0.39/0.55  
% 0.39/0.55  #||
% 0.39/0.55  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/0.55  % SZS output start Refutation
% See solution above
% 0.39/0.56  ||#
% 0.39/0.56  
% 0.39/0.56  ; Summary of computation:
% 0.39/0.56  ;       572 formulas have been input or derived (from 19 formulas).
% 0.39/0.56  ;       184 (32%) were retained.  Of these,
% 0.39/0.56  ;            1 ( 1%) were simplified or subsumed later,
% 0.39/0.56  ;          183 (99%) are still being kept.
% 0.39/0.56  ; 
% 0.39/0.56  ; Run time in seconds excluding printing time:
% 0.39/0.56  ;     0.002   3%   Read assertion file          (1 call)
% 0.39/0.56  ;     0.001   1%   Assert                       (9 calls)
% 0.39/0.56  ;     0.019  26%   Process new row              (465 calls)
% 0.39/0.56  ;     0.010  14%   Resolution                   (36 calls)
% 0.39/0.56  ;     0.000   0%   Paramodulation               (18 calls)
% 0.39/0.56  ;     0.000   0%   Condensing                   (2 calls)
% 0.39/0.56  ;     0.000   0%   Forward subsumption          (2 calls)
% 0.39/0.56  ;     0.000   0%   Backward subsumption         (2 calls)
% 0.39/0.56  ;     0.000   0%   Clause clause subsumption    (1 call)
% 0.39/0.56  ;     0.011  15%   Forward simplification       (465 calls)
% 0.39/0.56  ;     0.007   9%   Backward simplification      (184 calls)
% 0.39/0.56  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.39/0.56  ;     0.000   0%   Purity testing               (1 call)
% 0.39/0.56  ;     0.024  32%   Other
% 0.39/0.56  ;     0.074        Total
% 0.39/0.56  ;     0.076        Real time
% 0.39/0.56  ; 
% 0.39/0.56  ; Term-hash-array has 435 terms in all.
% 0.39/0.56  ; Feature-vector-row-index has 2 entries (2 at peak, 2 added, 0 deleted).
% 0.39/0.56  ; Feature-vector-row-index has 5 nodes (5 at peak, 5 added, 0 deleted).
% 0.39/0.56  ;  Retrieved 1 possibly forward subsuming row in 2 calls.
% 0.39/0.56  ;  Retrieved 0 possibly backward subsumed rows in 2 calls.
% 0.39/0.56  ; Path-index has 436 entries (438 at peak, 438 added, 2 deleted).
% 0.39/0.56  ; Path-index has 189 nodes (193 at peak, 193 added, 4 deleted).
% 0.39/0.56  ; Trie-index has 436 entries (438 at peak, 438 added, 2 deleted).
% 0.39/0.56  ; Trie-index has 1,522 nodes (1,538 at peak, 1,538 added, 16 deleted).
% 0.39/0.56  ; Retrieved 2,198 generalization terms in 467 calls.
% 0.39/0.56  ; Retrieved 954 instance terms in 181 calls.
% 0.39/0.56  ; Retrieved 5,291 unifiable terms in 260 calls.
% 0.39/0.56  ; 
% 0.39/0.56  ; The agenda of rows to process has 87 entries:
% 0.39/0.56  ;    24 with value 16             15 with value 21               8 with value 26
% 0.39/0.56  ;     4 with value 17             16 with value 25              20 with value 29
% 0.39/0.56  ; The agenda of rows to give has 164 entries:
% 0.39/0.56  ;     2 with value (4 15)         21 with value (4 20)          16 with value (4 26)
% 0.39/0.56  ;    27 with value (4 16)         37 with value (4 21)           1 with value (4 28)
% 0.39/0.56  ;    12 with value (4 17)          2 with value (4 24)          15 with value (4 29)
% 0.39/0.56  ;     1 with value (4 19)         30 with value (4 25)
% 0.39/0.56  Evaluation took:
% 0.39/0.56    0.076 seconds of real time
% 0.39/0.56    0.070053 seconds of user run time
% 0.39/0.56    0.006209 seconds of system run time
% 0.39/0.56    0 calls to %EVAL
% 0.39/0.56    0 page faults and
% 0.39/0.56    4,365,272 bytes consed.
% 0.39/0.56  :PROOF-FOUND
% 0.39/0.56  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T14:01:43
% 0.39/0.56  :PROOF-FOUND
% 0.39/0.56  * 
%------------------------------------------------------------------------------