TSTP Solution File: SYN098-1.002 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN098-1.002 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n011.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 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   29 (   9 unt;  12 nHn;  29 RR)
%            Number of literals    :   59 (   0 equ;  22 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :   14 (  13 usr;  14 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(u_s3_goal_1,negated_conjecture,
    ( u_1
    | ~ p_0
    | ~ q_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_goal_1) ).

cnf(u_1_s3_goal_1,axiom,
    ~ u_1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_1_s3_goal_1) ).

cnf(u_s3_type11_1,axiom,
    ( u_2
    | p_0
    | ~ p_1
    | ~ p_2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_type11_1) ).

cnf(u_2_s3_type11_1,axiom,
    ( p_0
    | ~ u_2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_2_s3_type11_1) ).

cnf(u_s3_type11_3,axiom,
    ( u_4
    | p_1
    | ~ p_2
    | ~ p_3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_type11_3) ).

cnf(u_4_s3_type11_3,axiom,
    ( p_1
    | ~ u_4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_4_s3_type11_3) ).

cnf(u_s3_type12_1,axiom,
    ( u_6
    | q_0
    | ~ p_1
    | ~ q_2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_type12_1) ).

cnf(u_6_s3_type12_1,axiom,
    ( q_0
    | ~ u_6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_6_s3_type12_1) ).

cnf(u_t3_1,axiom,
    ( u_14
    | p_2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_t3_1) ).

cnf(u_14_t3_1,axiom,
    ( p_2
    | ~ u_14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_14_t3_1) ).

cnf(u_t3_2,axiom,
    ( u_15
    | p_3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_t3_2) ).

cnf(u_15_t3_2,axiom,
    ( p_3
    | ~ u_15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_15_t3_2) ).

cnf(u_t3_3,axiom,
    ( u_16
    | q_2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_t3_3) ).

cnf(u_16_t3_3,axiom,
    ( q_2
    | ~ u_16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_16_t3_3) ).

cnf(62,plain,
    ( ~ p_0
    | ~ q_0 ),
    inference('REWRITE',[status(thm)],[u_s3_goal_1,u_1_s3_goal_1]) ).

cnf(63,plain,
    p_2,
    inference('HYPERRESOLVE',[status(thm)],[u_14_t3_1,u_t3_1]) ).

cnf(64,plain,
    ( u_2
    | p_0
    | ~ p_1 ),
    inference('REWRITE',[status(thm)],[u_s3_type11_1,63]) ).

cnf(65,plain,
    ( u_4
    | p_1
    | ~ p_3 ),
    inference('REWRITE',[status(thm)],[u_s3_type11_3,63]) ).

cnf(68,plain,
    p_3,
    inference('HYPERRESOLVE',[status(thm)],[u_15_t3_2,u_t3_2]) ).

cnf(70,plain,
    ( u_4
    | p_1 ),
    inference('REWRITE',[status(thm)],[65,68]) ).

cnf(71,plain,
    q_2,
    inference('HYPERRESOLVE',[status(thm)],[u_16_t3_3,u_t3_3]) ).

cnf(74,plain,
    ( u_6
    | q_0
    | ~ p_1 ),
    inference('REWRITE',[status(thm)],[u_s3_type12_1,71]) ).

cnf(81,plain,
    p_1,
    inference('HYPERRESOLVE',[status(thm)],[u_4_s3_type11_3,70]) ).

cnf(82,plain,
    ( u_2
    | p_0 ),
    inference('REWRITE',[status(thm)],[64,81]) ).

cnf(83,plain,
    ( u_6
    | q_0 ),
    inference('REWRITE',[status(thm)],[74,81]) ).

cnf(87,plain,
    p_0,
    inference('HYPERRESOLVE',[status(thm)],[u_2_s3_type11_1,82]) ).

cnf(88,plain,
    ~ q_0,
    inference('REWRITE',[status(thm)],[62,87]) ).

cnf(89,plain,
    ~ u_6,
    inference('REWRITE',[status(thm)],[u_6_s3_type12_1,88]) ).

cnf(91,plain,
    $false,
    inference('REWRITE',[status(thm)],[83,89,88]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN098-1.002 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n011.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jul 11 21:52:42 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 0.19/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47   (USE-FACTORING :POS)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T21:52:42
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-07-11T21:52:42
% 0.19/0.49  WARNING:
% 0.19/0.49     #:|sym_q_4| is a proposition that occurs only negatively; disabling rows that contain it.
% 0.19/0.49  WARNING:
% 0.19/0.49     #:|sym_p_4| is a proposition that occurs only negatively; disabling rows that contain it.
% 0.19/0.49  WARNING:
% 0.19/0.49     #:|p_4| is a proposition that occurs only positively; disabling rows that contain it.
% 0.19/0.49  WARNING:
% 0.19/0.49     #:|q_4| is a proposition that occurs only positively; disabling rows that contain it.
% 0.19/0.51  
% 0.19/0.51  
% 0.19/0.51  #||
% 0.19/0.51  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.51  % SZS output start Refutation
% See solution above
% 0.19/0.51  ||#
% 0.19/0.51  
% 0.19/0.51  ; Summary of computation:
% 0.19/0.51  ;       100 formulas have been input or derived (from 44 formulas).
% 0.19/0.51  ;        91 (91%) were retained.  Of these,
% 0.19/0.51  ;           47 (52%) were simplified or subsumed later,
% 0.19/0.51  ;           44 (48%) are still being kept.
% 0.19/0.51  ; 
% 0.19/0.51  ; Run time in seconds excluding printing time:
% 0.19/0.51  ;     0.007  17%   Read assertion file          (1 call)
% 0.19/0.51  ;     0.002   5%   Assert                       (68 calls)
% 0.19/0.51  ;     0.006  14%   Process new row              (99 calls)
% 0.19/0.51  ;     0.001   2%   Resolution                   (86 calls)
% 0.19/0.51  ;     0.000   0%   Paramodulation               (43 calls)
% 0.19/0.51  ;     0.000   0%   Factoring                    (8 calls)
% 0.19/0.51  ;     0.001   2%   Condensing                   (78 calls)
% 0.19/0.51  ;     0.000   0%   Forward subsumption          (78 calls)
% 0.19/0.51  ;     0.000   0%   Backward subsumption         (78 calls)
% 0.19/0.51  ;     0.001   2%   Forward simplification       (91 calls)
% 0.19/0.51  ;     0.000   0%   Backward simplification      (91 calls)
% 0.19/0.51  ;     0.000   0%   Ordering                     (21 calls)
% 0.19/0.51  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.51  ;     0.001   2%   Purity testing               (1 call)
% 0.19/0.51  ;     0.023  55%   Other
% 0.19/0.51  ;     0.042        Total
% 0.19/0.51  ;     0.044        Real time
% 0.19/0.51  ; 
% 0.19/0.51  ; Term-hash-array has 0 terms in all.
% 0.19/0.51  ; Feature-vector-row-index has 31 entries (58 at peak, 78 added, 47 deleted).
% 0.19/0.51  ; Feature-vector-row-index has 76 nodes (134 at peak, 179 added, 103 deleted).
% 0.19/0.51  ;  Retrieved 18 possibly forward subsuming rows in 78 calls.
% 0.19/0.51  ;  Retrieved 17 possibly backward subsumed rows in 78 calls.
% 0.19/0.51  ; Path-index has 34 entries (46 at peak, 52 added, 18 deleted).
% 0.19/0.51  ; Path-index has 35 nodes (47 at peak, 53 added, 18 deleted).
% 0.19/0.51  ; Trie-index has 34 entries (46 at peak, 52 added, 18 deleted).
% 0.19/0.51  ; Trie-index has 35 nodes (47 at peak, 53 added, 18 deleted).
% 0.19/0.51  ; Retrieved 12 instance terms in 12 calls.
% 0.19/0.51  ; Retrieved 129 unifiable terms in 129 calls.
% 0.19/0.51  ; 
% 0.19/0.51  ; The agenda of backward simplifiable rows to process has 1 entry:
% 0.19/0.51  ;     1 with value 0
% 0.19/0.51  ; The agenda of input rows to give has 13 entries:
% 0.19/0.51  ;     3 with value 1               2 with value 3                8 with value 4
% 0.19/0.51  ; The agenda of rows to give has 9 entries:
% 0.19/0.51  ;     7 with value (4 2)           2 with value (4 3)
% 0.19/0.51  Evaluation took:
% 0.19/0.51    0.044 seconds of real time
% 0.19/0.51    0.034839 seconds of user run time
% 0.19/0.51    0.009205 seconds of system run time
% 0.19/0.51    0 calls to %EVAL
% 0.19/0.51    0 page faults and
% 0.19/0.51    3,131,464 bytes consed.
% 0.19/0.51  :PROOF-FOUND
% 0.19/0.51  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T21:52:42
% 0.19/0.51  :PROOF-FOUND
% 0.19/0.51  * 
%------------------------------------------------------------------------------