TSTP Solution File: SYN100-1.005 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN100-1.005 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n018.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 11:57:36 EDT 2022

% Result   : Unsatisfiable 0.18s 0.51s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   20
% Syntax   : Number of clauses     :   36 (  19 unt;  17 nHn;  34 RR)
%            Number of literals    :   69 (   0 equ;  32 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   20 (  19 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   17 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(sym_m_s3_goal_1,axiom,
    ( sym_p_0(X)
    | sym_q_0(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s3_goal_1) ).

cnf(sym_m_s3_type11_2,axiom,
    ( ~ sym_p_0(X)
    | sym_q_1(X)
    | sym_q_2(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s3_type11_2) ).

cnf(sym_m_s3_type11_4,axiom,
    ( ~ sym_p_1(X)
    | sym_q_2(X)
    | sym_q_3(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s3_type11_4) ).

cnf(sym_m_s3_type11_8,axiom,
    ( ~ sym_p_3(X)
    | sym_q_4(X)
    | sym_q_5(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s3_type11_8) ).

cnf(sym_m_s3_type11_10,axiom,
    ( ~ sym_p_4(X)
    | sym_q_5(X)
    | sym_q_6(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s3_type11_10) ).

cnf(sym_m_s3_type11_12,axiom,
    ( ~ sym_p_5(X)
    | sym_q_6(X)
    | sym_q_7(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s3_type11_12) ).

cnf(sym_m_s3_type11_13,axiom,
    ( ~ sym_p_6(X)
    | sym_p_7(X)
    | sym_p_8(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s3_type11_13) ).

cnf(sym_m_s3_type11_15,axiom,
    ( ~ sym_p_7(X)
    | sym_p_8(X)
    | sym_p_9(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s3_type11_15) ).

cnf(sym_m_s3_type12_1,axiom,
    ( ~ sym_q_0(X)
    | sym_p_1(X)
    | sym_q_2(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s3_type12_1) ).

cnf(sym_m_s3_type12_4,axiom,
    ( ~ sym_q_1(X)
    | sym_q_2(X)
    | sym_p_3(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s3_type12_4) ).

cnf(sym_m_s3_type12_6,axiom,
    ( ~ sym_q_2(X)
    | sym_q_3(X)
    | sym_p_4(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s3_type12_6) ).

cnf(sym_m_s3_type12_8,axiom,
    ( ~ sym_q_3(X)
    | sym_q_4(X)
    | sym_p_5(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s3_type12_8) ).

cnf(sym_m_s3_type12_10,axiom,
    ( ~ sym_q_4(X)
    | sym_q_5(X)
    | sym_p_6(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s3_type12_10) ).

cnf(sym_m_s3_type12_12,axiom,
    ( ~ sym_q_5(X)
    | sym_q_6(X)
    | sym_p_7(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s3_type12_12) ).

cnf(sym_m_s3_type12_13,axiom,
    ( ~ sym_q_6(X)
    | sym_p_7(X)
    | sym_q_8(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s3_type12_13) ).

cnf(sym_m_s3_type12_15,axiom,
    ( ~ sym_q_7(X)
    | sym_p_8(X)
    | sym_q_9(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s3_type12_15) ).

cnf(sym_m_t3_1,axiom,
    ~ sym_p_8(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_t3_1) ).

cnf(sym_m_t3_2,axiom,
    ~ sym_p_9(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_t3_2) ).

cnf(sym_m_t3_3,axiom,
    ~ sym_q_8(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_t3_3) ).

cnf(sym_m_t3_4,axiom,
    ~ sym_q_9(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_t3_4) ).

cnf(81,plain,
    ~ sym_p_7(a),
    inference('UR-RESOLVE',[status(thm)],[sym_m_s3_type11_15,sym_m_t3_1,sym_m_t3_2]) ).

cnf(82,plain,
    ( sym_p_0(X)
    | sym_p_1(X)
    | sym_q_2(X) ),
    inference('HYPERRESOLVE',[status(thm)],[sym_m_s3_type12_1,sym_m_s3_goal_1]) ).

cnf(84,plain,
    ~ sym_q_7(a),
    inference('UR-RESOLVE',[status(thm)],[sym_m_s3_type12_15,sym_m_t3_1,sym_m_t3_4]) ).

cnf(87,plain,
    ~ sym_q_6(a),
    inference('UR-RESOLVE',[status(thm)],[sym_m_s3_type12_13,81,sym_m_t3_3]) ).

cnf(88,plain,
    ~ sym_p_6(a),
    inference('UR-RESOLVE',[status(thm)],[sym_m_s3_type11_13,81,sym_m_t3_1]) ).

cnf(91,plain,
    ~ sym_q_5(a),
    inference('UR-RESOLVE',[status(thm)],[sym_m_s3_type12_12,87,81]) ).

cnf(92,plain,
    ~ sym_p_5(a),
    inference('UR-RESOLVE',[status(thm)],[sym_m_s3_type11_12,87,84]) ).

cnf(95,plain,
    ~ sym_q_4(a),
    inference('UR-RESOLVE',[status(thm)],[sym_m_s3_type12_10,91,88]) ).

cnf(96,plain,
    ~ sym_p_4(a),
    inference('UR-RESOLVE',[status(thm)],[sym_m_s3_type11_10,91,87]) ).

cnf(99,plain,
    ~ sym_q_3(a),
    inference('UR-RESOLVE',[status(thm)],[sym_m_s3_type12_8,95,92]) ).

cnf(100,plain,
    ~ sym_p_3(a),
    inference('UR-RESOLVE',[status(thm)],[sym_m_s3_type11_8,95,91]) ).

cnf(103,plain,
    ~ sym_q_2(a),
    inference('UR-RESOLVE',[status(thm)],[sym_m_s3_type12_6,99,96]) ).

cnf(107,plain,
    ~ sym_q_1(a),
    inference('UR-RESOLVE',[status(thm)],[sym_m_s3_type12_4,103,100]) ).

cnf(108,plain,
    ~ sym_p_1(a),
    inference('UR-RESOLVE',[status(thm)],[sym_m_s3_type11_4,103,99]) ).

cnf(109,plain,
    sym_p_0(a),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[103,82]),108]) ).

cnf(117,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[sym_m_s3_type11_2,107,103]),109]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYN100-1.005 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n018.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jul 11 21:05:44 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-07-11T21:05:44
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-07-11T21:05:44
% 0.18/0.48  WARNING:
% 0.18/0.48     |sym_q_10| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.18/0.48  WARNING:
% 0.18/0.48     |sym_p_10| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.18/0.48  WARNING:
% 0.18/0.48     |p_10| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.48  WARNING:
% 0.18/0.48     |q_10| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.51  
% 0.18/0.51  
% 0.18/0.51  #||
% 0.18/0.51  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.51  % SZS output start Refutation
% See solution above
% 0.18/0.51  ||#
% 0.18/0.51  
% 0.18/0.51  ; Summary of computation:
% 0.18/0.51  ;       191 formulas have been input or derived (from 108 formulas).
% 0.18/0.51  ;       117 (61%) were retained.  Of these,
% 0.18/0.51  ;          117 (100%) are still being kept.
% 0.18/0.51  ; 
% 0.18/0.51  ; Run time in seconds excluding printing time:
% 0.18/0.51  ;     0.011  22%   Read assertion file          (1 call)
% 0.18/0.51  ;     0.001   2%   Assert                       (82 calls)
% 0.18/0.51  ;     0.007  14%   Process new row              (186 calls)
% 0.18/0.51  ;     0.003   6%   Resolution                   (214 calls)
% 0.18/0.51  ;     0.000   0%   Paramodulation               (107 calls)
% 0.18/0.51  ;     0.000   0%   Factoring                    (3 calls)
% 0.18/0.51  ;     0.002   4%   Condensing                   (76 calls)
% 0.18/0.51  ;     0.000   0%   Forward subsumption          (76 calls)
% 0.18/0.51  ;     0.001   2%   Backward subsumption         (76 calls)
% 0.18/0.51  ;     0.002   4%   Forward simplification       (182 calls)
% 0.18/0.51  ;     0.000   0%   Backward simplification      (117 calls)
% 0.18/0.51  ;     0.000   0%   Ordering                     (9 calls)
% 0.18/0.51  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.18/0.51  ;     0.000   0%   Purity testing               (1 call)
% 0.18/0.51  ;     0.023  46%   Other
% 0.18/0.51  ;     0.050        Total
% 0.18/0.51  ;     0.053        Real time
% 0.18/0.51  ; 
% 0.18/0.51  ; Term-hash-array has 80 terms in all.
% 0.18/0.51  ; Feature-vector-row-index has 76 entries (76 at peak, 76 added, 0 deleted).
% 0.18/0.51  ; Feature-vector-row-index has 136 nodes (136 at peak, 136 added, 0 deleted).
% 0.18/0.51  ;  Retrieved 10 possibly forward subsuming rows in 76 calls.
% 0.18/0.51  ;  Retrieved 10 possibly backward subsumed rows in 76 calls.
% 0.18/0.51  ; Path-index has 81 entries (81 at peak, 81 added, 0 deleted).
% 0.18/0.51  ; Path-index has 122 nodes (122 at peak, 122 added, 0 deleted).
% 0.18/0.51  ; Trie-index has 81 entries (81 at peak, 81 added, 0 deleted).
% 0.18/0.51  ; Trie-index has 122 nodes (122 at peak, 122 added, 0 deleted).
% 0.18/0.51  ; Retrieved 67 generalization terms in 82 calls.
% 0.18/0.51  ; Retrieved 40 instance terms in 40 calls.
% 0.18/0.51  ; Retrieved 722 unifiable terms in 630 calls.
% 0.18/0.51  ; 
% 0.18/0.51  ; The agenda of rows to process has 1 entry:
% 0.18/0.51  ;     1 with value 14
% 0.18/0.51  ; The agenda of rows to give has 9 entries:
% 0.18/0.51  ;     2 with value (4 10)          4 with value (4 11)           3 with value (4 14)
% 0.18/0.51  Evaluation took:
% 0.18/0.51    0.054 seconds of real time
% 0.18/0.51    0.041855 seconds of user run time
% 0.18/0.51    0.012116 seconds of system run time
% 0.18/0.51    0 calls to %EVAL
% 0.18/0.51    0 page faults and
% 0.18/0.51    4,143,360 bytes consed.
% 0.18/0.51  :PROOF-FOUND
% 0.18/0.51  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T21:05:44
% 0.18/0.51  :PROOF-FOUND
% 0.18/0.51  * 
%------------------------------------------------------------------------------