TSTP Solution File: SYN097-1.002 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN097-1.002 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n006.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 11:57:35 EDT 2022

% Result   : Unsatisfiable 0.21s 0.52s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   16 (   7 unt;   3 nHn;  16 RR)
%            Number of literals    :   28 (   0 equ;  14 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :    8 (   7 usr;   8 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(u_s2_goal_1,negated_conjecture,
    ( u_1
    | ~ p_1_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s2_goal_1) ).

cnf(u_1_s2_goal_1,axiom,
    ~ u_1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_1_s2_goal_1) ).

cnf(u_s2_type11_1,axiom,
    ( u_2
    | p_1_2
    | ~ p_2_2
    | ~ p_1_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s2_type11_1) ).

cnf(u_2_s2_type11_1,axiom,
    ( p_1_2
    | ~ u_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_2_s2_type11_1) ).

cnf(u_t2_1,axiom,
    ( u_10
    | p_1_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_t2_1) ).

cnf(u_10_t2_1,axiom,
    ( p_1_1
    | ~ u_10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_10_t2_1) ).

cnf(u_t2_3,axiom,
    ( u_12
    | p_2_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_t2_3) ).

cnf(u_12_t2_3,axiom,
    ( p_2_2
    | ~ u_12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_12_t2_3) ).

cnf(60,plain,
    ~ p_1_2,
    inference('REWRITE',[status(thm)],[u_s2_goal_1,u_1_s2_goal_1]) ).

cnf(61,plain,
    ( u_2
    | ~ p_2_2
    | ~ p_1_1 ),
    inference('REWRITE',[status(thm)],[u_s2_type11_1,60]) ).

cnf(62,plain,
    ~ u_2,
    inference('REWRITE',[status(thm)],[u_2_s2_type11_1,60]) ).

cnf(63,plain,
    ( ~ p_2_2
    | ~ p_1_1 ),
    inference('REWRITE',[status(thm)],[61,62]) ).

cnf(67,plain,
    p_1_1,
    inference('HYPERRESOLVE',[status(thm)],[u_10_t2_1,u_t2_1]) ).

cnf(69,plain,
    ~ p_2_2,
    inference('REWRITE',[status(thm)],[63,67]) ).

cnf(71,plain,
    u_12,
    inference('REWRITE',[status(thm)],[u_t2_3,69]) ).

cnf(72,plain,
    $false,
    inference('REWRITE',[status(thm)],[u_12_t2_3,71,69]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN097-1.002 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.14/0.35  % Computer : n006.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Tue Jul 12 09:07:05 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.21/0.47  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.48  * 
% 0.21/0.48  * 
% 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  * 
% 0.21/0.49  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T09:07:05
% 0.21/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n006.cluster.edu at 2022-07-12T09:07:05
% 0.21/0.52  
% 0.21/0.52  
% 0.21/0.52  #||
% 0.21/0.52  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.52  % SZS output start Refutation
% See solution above
% 0.21/0.52  ||#
% 0.21/0.52  
% 0.21/0.52  ; Summary of computation:
% 0.21/0.52  ;        72 formulas have been input or derived (from 17 formulas).
% 0.21/0.52  ;        72 (100%) were retained.  Of these,
% 0.21/0.52  ;           27 (38%) were simplified or subsumed later,
% 0.21/0.52  ;           45 (62%) are still being kept.
% 0.21/0.52  ; 
% 0.21/0.52  ; Run time in seconds excluding printing time:
% 0.21/0.52  ;     0.006  16%   Read assertion file          (1 call)
% 0.21/0.52  ;     0.000   0%   Assert                       (52 calls)
% 0.21/0.52  ;     0.002   5%   Process new row              (72 calls)
% 0.21/0.52  ;     0.000   0%   Resolution                   (32 calls)
% 0.21/0.52  ;     0.000   0%   Paramodulation               (16 calls)
% 0.21/0.52  ;     0.000   0%   Factoring                    (1 call)
% 0.21/0.52  ;     0.000   0%   Condensing                   (59 calls)
% 0.21/0.52  ;     0.000   0%   Forward subsumption          (59 calls)
% 0.21/0.52  ;     0.002   5%   Backward subsumption         (59 calls)
% 0.21/0.52  ;     0.001   3%   Forward simplification       (72 calls)
% 0.21/0.52  ;     0.001   3%   Backward simplification      (72 calls)
% 0.21/0.52  ;     0.000   0%   Ordering                     (5 calls)
% 0.21/0.52  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.21/0.52  ;     0.000   0%   Purity testing               (1 call)
% 0.21/0.52  ;     0.025  68%   Other
% 0.21/0.52  ;     0.037        Total
% 0.21/0.52  ;     0.038        Real time
% 0.21/0.52  ; 
% 0.21/0.52  ; Term-hash-array has 0 terms in all.
% 0.21/0.52  ; Feature-vector-row-index has 32 entries (48 at peak, 59 added, 27 deleted).
% 0.21/0.52  ; Feature-vector-row-index has 71 nodes (111 at peak, 135 added, 64 deleted).
% 0.21/0.52  ;  Retrieved 7 possibly forward subsuming rows in 59 calls.
% 0.21/0.52  ;  Retrieved 7 possibly backward subsumed rows in 59 calls.
% 0.21/0.52  ; Path-index has 36 entries (38 at peak, 46 added, 10 deleted).
% 0.21/0.52  ; Path-index has 37 nodes (39 at peak, 47 added, 10 deleted).
% 0.21/0.52  ; Trie-index has 36 entries (38 at peak, 46 added, 10 deleted).
% 0.21/0.52  ; Trie-index has 37 nodes (39 at peak, 47 added, 10 deleted).
% 0.21/0.52  ; Retrieved 12 instance terms in 12 calls.
% 0.21/0.52  ; Retrieved 48 unifiable terms in 48 calls.
% 0.21/0.52  ; 
% 0.21/0.52  ; The agenda of input rows to give has 31 entries:
% 0.21/0.52  ;     3 with value 1               5 with value 3                2 with value 4
% 0.21/0.52  ;    21 with value 2
% 0.21/0.52  ; The agenda of rows to give has 1 entry:
% 0.21/0.52  ;     1 with value (4 2)
% 0.21/0.52  Evaluation took:
% 0.21/0.52    0.038 seconds of real time
% 0.21/0.52    0.03042 seconds of user run time
% 0.21/0.52    0.007977 seconds of system run time
% 0.21/0.52    0 calls to %EVAL
% 0.21/0.52    0 page faults and
% 0.21/0.52    2,309,040 bytes consed.
% 0.21/0.52  :PROOF-FOUND
% 0.21/0.52  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T09:07:05
% 0.21/0.52  :PROOF-FOUND
% 0.21/0.52  * 
%------------------------------------------------------------------------------