TSTP Solution File: SYN090-1.008 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN090-1.008 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n028.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 11:57:32 EDT 2022

% Result   : Unsatisfiable 0.18s 0.50s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :   31
% Syntax   : Number of clauses     :   83 (  31 unt;   0 nHn;  83 RR)
%            Number of literals    :  162 (   0 equ;  93 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :   31 (  30 usr;  31 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(s3_goal_1,negated_conjecture,
    ( ~ p_0
    | ~ q_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_goal_1) ).

cnf(s3_type11_2,axiom,
    ( p_0
    | ~ q_1
    | ~ q_2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type11_2) ).

cnf(s3_type11_4,axiom,
    ( p_1
    | ~ q_2
    | ~ q_3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type11_4) ).

cnf(s3_type11_5,axiom,
    ( p_2
    | ~ p_3
    | ~ p_4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type11_5) ).

cnf(s3_type11_8,axiom,
    ( p_3
    | ~ q_4
    | ~ q_5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type11_8) ).

cnf(s3_type11_10,axiom,
    ( p_4
    | ~ q_5
    | ~ q_6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type11_10) ).

cnf(s3_type11_11,axiom,
    ( p_5
    | ~ p_6
    | ~ p_7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type11_11) ).

cnf(s3_type11_14,axiom,
    ( p_6
    | ~ q_7
    | ~ q_8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type11_14) ).

cnf(s3_type11_16,axiom,
    ( p_7
    | ~ q_8
    | ~ q_9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type11_16) ).

cnf(s3_type11_17,axiom,
    ( p_8
    | ~ p_9
    | ~ p_10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type11_17) ).

cnf(s3_type11_20,axiom,
    ( p_9
    | ~ q_10
    | ~ q_11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type11_20) ).

cnf(s3_type11_22,axiom,
    ( p_10
    | ~ q_11
    | ~ q_12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type11_22) ).

cnf(s3_type11_24,axiom,
    ( p_11
    | ~ q_12
    | ~ q_13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type11_24) ).

cnf(s3_type11_28,axiom,
    ( p_13
    | ~ q_14
    | ~ q_15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type11_28) ).

cnf(s3_type12_1,axiom,
    ( q_0
    | ~ p_1
    | ~ q_2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type12_1) ).

cnf(s3_type12_3,axiom,
    ( q_1
    | ~ p_2
    | ~ q_3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type12_3) ).

cnf(s3_type12_6,axiom,
    ( q_2
    | ~ q_3
    | ~ p_4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type12_6) ).

cnf(s3_type12_7,axiom,
    ( q_3
    | ~ p_4
    | ~ q_5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type12_7) ).

cnf(s3_type12_9,axiom,
    ( q_4
    | ~ p_5
    | ~ q_6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type12_9) ).

cnf(s3_type12_12,axiom,
    ( q_5
    | ~ q_6
    | ~ p_7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type12_12) ).

cnf(s3_type12_13,axiom,
    ( q_6
    | ~ p_7
    | ~ q_8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type12_13) ).

cnf(s3_type12_15,axiom,
    ( q_7
    | ~ p_8
    | ~ q_9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type12_15) ).

cnf(s3_type12_18,axiom,
    ( q_8
    | ~ q_9
    | ~ p_10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type12_18) ).

cnf(s3_type12_19,axiom,
    ( q_9
    | ~ p_10
    | ~ q_11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type12_19) ).

cnf(s3_type12_21,axiom,
    ( q_10
    | ~ p_11
    | ~ q_12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type12_21) ).

cnf(s3_type12_24,axiom,
    ( q_11
    | ~ q_12
    | ~ p_13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type12_24) ).

cnf(s3_type12_25,axiom,
    ( q_12
    | ~ p_13
    | ~ q_14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type12_25) ).

cnf(s3_type12_28,axiom,
    ( q_13
    | ~ q_14
    | ~ p_15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type12_28) ).

cnf(t3_2,axiom,
    p_15,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_2) ).

cnf(t3_3,axiom,
    q_14,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_3) ).

cnf(t3_4,axiom,
    q_15,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_4) ).

cnf(65,plain,
    p_13,
    inference('REWRITE',[status(thm)],[s3_type11_28,t3_4,t3_3]) ).

cnf(67,plain,
    ( q_11
    | ~ q_12 ),
    inference('REWRITE',[status(thm)],[s3_type12_24,65]) ).

cnf(68,plain,
    q_12,
    inference('REWRITE',[status(thm)],[s3_type12_25,65,t3_3]) ).

cnf(69,plain,
    ( p_10
    | ~ q_11 ),
    inference('REWRITE',[status(thm)],[s3_type11_22,68]) ).

cnf(70,plain,
    ( p_11
    | ~ q_13 ),
    inference('REWRITE',[status(thm)],[s3_type11_24,68]) ).

cnf(71,plain,
    ( q_10
    | ~ p_11 ),
    inference('REWRITE',[status(thm)],[s3_type12_21,68]) ).

cnf(72,plain,
    q_11,
    inference('REWRITE',[status(thm)],[67,68]) ).

cnf(73,plain,
    ( p_9
    | ~ q_10 ),
    inference('REWRITE',[status(thm)],[s3_type11_20,72]) ).

cnf(74,plain,
    ( q_9
    | ~ p_10 ),
    inference('REWRITE',[status(thm)],[s3_type12_19,72]) ).

cnf(76,plain,
    p_10,
    inference('REWRITE',[status(thm)],[69,72]) ).

cnf(77,plain,
    ( p_8
    | ~ p_9 ),
    inference('REWRITE',[status(thm)],[s3_type11_17,76]) ).

cnf(79,plain,
    ( q_8
    | ~ q_9 ),
    inference('REWRITE',[status(thm)],[s3_type12_18,76]) ).

cnf(80,plain,
    q_9,
    inference('REWRITE',[status(thm)],[74,76]) ).

cnf(81,plain,
    ( p_7
    | ~ q_8 ),
    inference('REWRITE',[status(thm)],[s3_type11_16,80]) ).

cnf(83,plain,
    ( q_7
    | ~ p_8 ),
    inference('REWRITE',[status(thm)],[s3_type12_15,80]) ).

cnf(84,plain,
    q_8,
    inference('REWRITE',[status(thm)],[79,80]) ).

cnf(85,plain,
    ( p_6
    | ~ q_7 ),
    inference('REWRITE',[status(thm)],[s3_type11_14,84]) ).

cnf(86,plain,
    ( q_6
    | ~ p_7 ),
    inference('REWRITE',[status(thm)],[s3_type12_13,84]) ).

cnf(88,plain,
    p_7,
    inference('REWRITE',[status(thm)],[81,84]) ).

cnf(89,plain,
    ( p_5
    | ~ p_6 ),
    inference('REWRITE',[status(thm)],[s3_type11_11,88]) ).

cnf(91,plain,
    ( q_5
    | ~ q_6 ),
    inference('REWRITE',[status(thm)],[s3_type12_12,88]) ).

cnf(92,plain,
    q_6,
    inference('REWRITE',[status(thm)],[86,88]) ).

cnf(93,plain,
    ( p_4
    | ~ q_5 ),
    inference('REWRITE',[status(thm)],[s3_type11_10,92]) ).

cnf(95,plain,
    ( q_4
    | ~ p_5 ),
    inference('REWRITE',[status(thm)],[s3_type12_9,92]) ).

cnf(96,plain,
    q_5,
    inference('REWRITE',[status(thm)],[91,92]) ).

cnf(97,plain,
    ( p_3
    | ~ q_4 ),
    inference('REWRITE',[status(thm)],[s3_type11_8,96]) ).

cnf(98,plain,
    ( q_3
    | ~ p_4 ),
    inference('REWRITE',[status(thm)],[s3_type12_7,96]) ).

cnf(100,plain,
    p_4,
    inference('REWRITE',[status(thm)],[93,96]) ).

cnf(101,plain,
    ( p_2
    | ~ p_3 ),
    inference('REWRITE',[status(thm)],[s3_type11_5,100]) ).

cnf(103,plain,
    ( q_2
    | ~ q_3 ),
    inference('REWRITE',[status(thm)],[s3_type12_6,100]) ).

cnf(104,plain,
    q_3,
    inference('REWRITE',[status(thm)],[98,100]) ).

cnf(105,plain,
    ( p_1
    | ~ q_2 ),
    inference('REWRITE',[status(thm)],[s3_type11_4,104]) ).

cnf(107,plain,
    ( q_1
    | ~ p_2 ),
    inference('REWRITE',[status(thm)],[s3_type12_3,104]) ).

cnf(108,plain,
    q_2,
    inference('REWRITE',[status(thm)],[103,104]) ).

cnf(109,plain,
    ( p_0
    | ~ q_1 ),
    inference('REWRITE',[status(thm)],[s3_type11_2,108]) ).

cnf(110,plain,
    ( q_0
    | ~ p_1 ),
    inference('REWRITE',[status(thm)],[s3_type12_1,108]) ).

cnf(112,plain,
    p_1,
    inference('REWRITE',[status(thm)],[105,108]) ).

cnf(114,plain,
    q_0,
    inference('REWRITE',[status(thm)],[110,112]) ).

cnf(115,plain,
    ~ p_0,
    inference('REWRITE',[status(thm)],[s3_goal_1,114]) ).

cnf(116,plain,
    ~ q_1,
    inference('REWRITE',[status(thm)],[109,115]) ).

cnf(117,plain,
    ~ p_2,
    inference('REWRITE',[status(thm)],[107,116]) ).

cnf(118,plain,
    ~ p_3,
    inference('REWRITE',[status(thm)],[101,117]) ).

cnf(119,plain,
    ~ q_4,
    inference('REWRITE',[status(thm)],[97,118]) ).

cnf(120,plain,
    ~ p_5,
    inference('REWRITE',[status(thm)],[95,119]) ).

cnf(121,plain,
    ~ p_6,
    inference('REWRITE',[status(thm)],[89,120]) ).

cnf(122,plain,
    ~ q_7,
    inference('REWRITE',[status(thm)],[85,121]) ).

cnf(123,plain,
    ~ p_8,
    inference('REWRITE',[status(thm)],[83,122]) ).

cnf(124,plain,
    ~ p_9,
    inference('REWRITE',[status(thm)],[77,123]) ).

cnf(125,plain,
    ~ q_10,
    inference('REWRITE',[status(thm)],[73,124]) ).

cnf(126,plain,
    ~ p_11,
    inference('REWRITE',[status(thm)],[71,125]) ).

cnf(128,plain,
    ~ q_13,
    inference('REWRITE',[status(thm)],[70,126]) ).

cnf(129,plain,
    $false,
    inference('REWRITE',[status(thm)],[s3_type12_28,t3_3,128,t3_2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYN090-1.008 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.12  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n028.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 : Mon Jul 11 16:27:29 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45  * 
% 0.18/0.45  * 
% 0.18/0.45  #<PACKAGE "SNARK-USER">
% 0.18/0.45  * 
% 0.18/0.45  SNARK-TPTP-OPTIONS
% 0.18/0.45  * 
% 0.18/0.45  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.45   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.45   (USE-FACTORING :POS)
% 0.18/0.45   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.45   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.45   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.45   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.45   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.45   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.45   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.45   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.45   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.45   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.45  * 
% 0.18/0.46  "."
% 0.18/0.46  * 
% 0.18/0.46  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T16:27:29
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-07-11T16:27:29
% 0.18/0.47  WARNING:
% 0.18/0.47     #:|p_16| is a proposition that occurs only positively; disabling rows that contain it.
% 0.18/0.47  WARNING:
% 0.18/0.47     #:|q_16| is a proposition that occurs only positively; disabling rows that contain it.
% 0.18/0.50  
% 0.18/0.50  
% 0.18/0.50  #||
% 0.18/0.50  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.50  % SZS output start Refutation
% See solution above
% 0.18/0.50  ||#
% 0.18/0.50  
% 0.18/0.50  ; Summary of computation:
% 0.18/0.50  ;       147 formulas have been input or derived (from 1 formulas).
% 0.18/0.50  ;       129 (88%) were retained.  Of these,
% 0.18/0.50  ;           96 (74%) were simplified or subsumed later,
% 0.18/0.50  ;           33 (26%) are still being kept.
% 0.18/0.50  ; 
% 0.18/0.50  ; Run time in seconds excluding printing time:
% 0.18/0.50  ;     0.007  17%   Read assertion file          (1 call)
% 0.18/0.50  ;     0.000   0%   Assert                       (65 calls)
% 0.18/0.50  ;     0.004  10%   Process new row              (142 calls)
% 0.18/0.50  ;     0.001   2%   Condensing                   (96 calls)
% 0.18/0.50  ;     0.001   2%   Forward subsumption          (96 calls)
% 0.18/0.50  ;     0.001   2%   Backward subsumption         (96 calls)
% 0.18/0.50  ;     0.001   2%   Forward simplification       (140 calls)
% 0.18/0.50  ;     0.003   7%   Backward simplification      (129 calls)
% 0.18/0.50  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.18/0.50  ;     0.001   2%   Purity testing               (1 call)
% 0.18/0.50  ;     0.023  55%   Other
% 0.18/0.50  ;     0.042        Total
% 0.18/0.50  ;     0.047        Real time
% 0.18/0.50  ; 
% 0.18/0.50  ; Term-hash-array has 0 terms in all.
% 0.18/0.50  ; Feature-vector-row-index has 0 entries (59 at peak, 96 added, 96 deleted).
% 0.18/0.50  ; Feature-vector-row-index has 1 node (83 at peak, 121 added, 120 deleted).
% 0.18/0.50  ;  Retrieved 42 possibly forward subsuming rows in 96 calls.
% 0.18/0.50  ;  Retrieved 74 possibly backward subsumed rows in 96 calls.
% 0.18/0.50  ; Path-index has 32 entries (32 at peak, 33 added, 1 deleted).
% 0.18/0.50  ; Path-index has 33 nodes (33 at peak, 34 added, 1 deleted).
% 0.18/0.50  ; Trie-index has 32 entries (32 at peak, 33 added, 1 deleted).
% 0.18/0.50  ; Trie-index has 33 nodes (33 at peak, 34 added, 1 deleted).
% 0.18/0.50  ; Retrieved 32 instance terms in 32 calls.
% 0.18/0.50  ; 
% 0.18/0.50  ; The agenda of backward simplifiable rows to process has 4 entries:
% 0.18/0.50  ;     4 with value 0
% 0.18/0.50  ; The agenda of input rows to give has 32 entries:
% 0.18/0.50  ;    32 with value 1
% 0.18/0.50  Evaluation took:
% 0.18/0.50    0.047 seconds of real time
% 0.18/0.50    0.040236 seconds of user run time
% 0.18/0.50    0.007435 seconds of system run time
% 0.18/0.50    0 calls to %EVAL
% 0.18/0.50    0 page faults and
% 0.18/0.50    5,560,160 bytes consed.
% 0.18/0.50  :PROOF-FOUND
% 0.18/0.50  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T16:27:29
% 0.18/0.50  :PROOF-FOUND
% 0.18/0.50  * 
%------------------------------------------------------------------------------