TSTP Solution File: SYN094-1.005 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN094-1.005 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n019.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 11:57:34 EDT 2022

% Result   : Unsatisfiable 0.18s 0.51s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   32
% Syntax   : Number of clauses     :   74 (  18 unt;  39 nHn;  74 RR)
%            Number of literals    :  167 (   0 equ;  58 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :   32 (  31 usr;  32 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/sandbox/benchmark/theBenchmark.p',u_s3_goal_1) ).

cnf(u_1_s3_goal_1,axiom,
    ~ u_1,
    file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',u_s3_type11_1) ).

cnf(u_2_s3_type11_1,axiom,
    ( p_0
    | ~ u_2 ),
    file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',u_s3_type11_3) ).

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

cnf(u_s3_type11_5,axiom,
    ( u_6
    | p_2
    | ~ p_3
    | ~ p_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type11_5) ).

cnf(u_6_s3_type11_5,axiom,
    ( p_2
    | ~ u_6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_6_s3_type11_5) ).

cnf(u_s3_type11_7,axiom,
    ( u_8
    | p_3
    | ~ p_4
    | ~ p_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type11_7) ).

cnf(u_8_s3_type11_7,axiom,
    ( p_3
    | ~ u_8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_8_s3_type11_7) ).

cnf(u_s3_type11_9,axiom,
    ( u_10
    | p_4
    | ~ p_5
    | ~ p_6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type11_9) ).

cnf(u_10_s3_type11_9,axiom,
    ( p_4
    | ~ u_10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_10_s3_type11_9) ).

cnf(u_s3_type11_11,axiom,
    ( u_12
    | p_5
    | ~ p_6
    | ~ p_7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type11_11) ).

cnf(u_12_s3_type11_11,axiom,
    ( p_5
    | ~ u_12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_12_s3_type11_11) ).

cnf(u_s3_type11_13,axiom,
    ( u_14
    | p_6
    | ~ p_7
    | ~ p_8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type11_13) ).

cnf(u_14_s3_type11_13,axiom,
    ( p_6
    | ~ u_14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_14_s3_type11_13) ).

cnf(u_s3_type11_15,axiom,
    ( u_16
    | p_7
    | ~ p_8
    | ~ p_9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type11_15) ).

cnf(u_16_s3_type11_15,axiom,
    ( p_7
    | ~ u_16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_16_s3_type11_15) ).

cnf(u_s3_type12_1,axiom,
    ( u_18
    | q_0
    | ~ p_1
    | ~ q_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type12_1) ).

cnf(u_18_s3_type12_1,axiom,
    ( q_0
    | ~ u_18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_18_s3_type12_1) ).

cnf(u_s3_type12_5,axiom,
    ( u_22
    | q_2
    | ~ p_3
    | ~ q_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type12_5) ).

cnf(u_22_s3_type12_5,axiom,
    ( q_2
    | ~ u_22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_22_s3_type12_5) ).

cnf(u_s3_type12_9,axiom,
    ( u_26
    | q_4
    | ~ p_5
    | ~ q_6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type12_9) ).

cnf(u_26_s3_type12_9,axiom,
    ( q_4
    | ~ u_26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_26_s3_type12_9) ).

cnf(u_s3_type12_13,axiom,
    ( u_30
    | q_6
    | ~ p_7
    | ~ q_8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type12_13) ).

cnf(u_30_s3_type12_13,axiom,
    ( q_6
    | ~ u_30 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_30_s3_type12_13) ).

cnf(u_t3_1,axiom,
    ( u_38
    | p_8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_t3_1) ).

cnf(u_38_t3_1,axiom,
    ( p_8
    | ~ u_38 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_38_t3_1) ).

cnf(u_t3_2,axiom,
    ( u_39
    | p_9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_t3_2) ).

cnf(u_39_t3_2,axiom,
    ( p_9
    | ~ u_39 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_39_t3_2) ).

cnf(u_t3_3,axiom,
    ( u_40
    | q_8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_t3_3) ).

cnf(u_40_t3_3,axiom,
    ( q_8
    | ~ u_40 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_40_t3_3) ).

cnf(79,plain,
    ( ~ p_0
    | ~ q_0 ),
    inference('REWRITE',[status(thm)],[u_s3_goal_1,u_1_s3_goal_1]) ).

cnf(80,plain,
    p_8,
    inference('HYPERRESOLVE',[status(thm)],[u_38_t3_1,u_t3_1]) ).

cnf(81,plain,
    ( u_14
    | p_6
    | ~ p_7 ),
    inference('REWRITE',[status(thm)],[u_s3_type11_13,80]) ).

cnf(82,plain,
    ( u_16
    | p_7
    | ~ p_9 ),
    inference('REWRITE',[status(thm)],[u_s3_type11_15,80]) ).

cnf(85,plain,
    p_9,
    inference('HYPERRESOLVE',[status(thm)],[u_39_t3_2,u_t3_2]) ).

cnf(87,plain,
    ( u_16
    | p_7 ),
    inference('REWRITE',[status(thm)],[82,85]) ).

cnf(88,plain,
    q_8,
    inference('HYPERRESOLVE',[status(thm)],[u_40_t3_3,u_t3_3]) ).

cnf(91,plain,
    ( u_30
    | q_6
    | ~ p_7 ),
    inference('REWRITE',[status(thm)],[u_s3_type12_13,88]) ).

cnf(96,plain,
    p_7,
    inference('HYPERRESOLVE',[status(thm)],[u_16_s3_type11_15,87]) ).

cnf(97,plain,
    ( u_12
    | p_5
    | ~ p_6 ),
    inference('REWRITE',[status(thm)],[u_s3_type11_11,96]) ).

cnf(99,plain,
    ( u_14
    | p_6 ),
    inference('REWRITE',[status(thm)],[81,96]) ).

cnf(100,plain,
    ( u_30
    | q_6 ),
    inference('REWRITE',[status(thm)],[91,96]) ).

cnf(106,plain,
    p_6,
    inference('HYPERRESOLVE',[status(thm)],[u_14_s3_type11_13,99]) ).

cnf(107,plain,
    ( u_10
    | p_4
    | ~ p_5 ),
    inference('REWRITE',[status(thm)],[u_s3_type11_9,106]) ).

cnf(109,plain,
    ( u_12
    | p_5 ),
    inference('REWRITE',[status(thm)],[97,106]) ).

cnf(111,plain,
    q_6,
    inference('HYPERRESOLVE',[status(thm)],[u_30_s3_type12_13,100]) ).

cnf(113,plain,
    ( u_26
    | q_4
    | ~ p_5 ),
    inference('REWRITE',[status(thm)],[u_s3_type12_9,111]) ).

cnf(116,plain,
    p_5,
    inference('HYPERRESOLVE',[status(thm)],[u_12_s3_type11_11,109]) ).

cnf(117,plain,
    ( u_8
    | p_3
    | ~ p_4 ),
    inference('REWRITE',[status(thm)],[u_s3_type11_7,116]) ).

cnf(119,plain,
    ( u_10
    | p_4 ),
    inference('REWRITE',[status(thm)],[107,116]) ).

cnf(120,plain,
    ( u_26
    | q_4 ),
    inference('REWRITE',[status(thm)],[113,116]) ).

cnf(126,plain,
    p_4,
    inference('HYPERRESOLVE',[status(thm)],[u_10_s3_type11_9,119]) ).

cnf(127,plain,
    ( u_6
    | p_2
    | ~ p_3 ),
    inference('REWRITE',[status(thm)],[u_s3_type11_5,126]) ).

cnf(129,plain,
    ( u_8
    | p_3 ),
    inference('REWRITE',[status(thm)],[117,126]) ).

cnf(131,plain,
    q_4,
    inference('HYPERRESOLVE',[status(thm)],[u_26_s3_type12_9,120]) ).

cnf(133,plain,
    ( u_22
    | q_2
    | ~ p_3 ),
    inference('REWRITE',[status(thm)],[u_s3_type12_5,131]) ).

cnf(136,plain,
    p_3,
    inference('HYPERRESOLVE',[status(thm)],[u_8_s3_type11_7,129]) ).

cnf(137,plain,
    ( u_4
    | p_1
    | ~ p_2 ),
    inference('REWRITE',[status(thm)],[u_s3_type11_3,136]) ).

cnf(139,plain,
    ( u_6
    | p_2 ),
    inference('REWRITE',[status(thm)],[127,136]) ).

cnf(140,plain,
    ( u_22
    | q_2 ),
    inference('REWRITE',[status(thm)],[133,136]) ).

cnf(146,plain,
    p_2,
    inference('HYPERRESOLVE',[status(thm)],[u_6_s3_type11_5,139]) ).

cnf(147,plain,
    ( u_2
    | p_0
    | ~ p_1 ),
    inference('REWRITE',[status(thm)],[u_s3_type11_1,146]) ).

cnf(149,plain,
    ( u_4
    | p_1 ),
    inference('REWRITE',[status(thm)],[137,146]) ).

cnf(151,plain,
    q_2,
    inference('HYPERRESOLVE',[status(thm)],[u_22_s3_type12_5,140]) ).

cnf(153,plain,
    ( u_18
    | q_0
    | ~ p_1 ),
    inference('REWRITE',[status(thm)],[u_s3_type12_1,151]) ).

cnf(156,plain,
    p_1,
    inference('HYPERRESOLVE',[status(thm)],[u_4_s3_type11_3,149]) ).

cnf(157,plain,
    ( u_2
    | p_0 ),
    inference('REWRITE',[status(thm)],[147,156]) ).

cnf(158,plain,
    ( u_18
    | q_0 ),
    inference('REWRITE',[status(thm)],[153,156]) ).

cnf(162,plain,
    p_0,
    inference('HYPERRESOLVE',[status(thm)],[u_2_s3_type11_1,157]) ).

cnf(163,plain,
    ~ q_0,
    inference('REWRITE',[status(thm)],[79,162]) ).

cnf(164,plain,
    ~ u_18,
    inference('REWRITE',[status(thm)],[u_18_s3_type12_1,163]) ).

cnf(166,plain,
    $false,
    inference('REWRITE',[status(thm)],[158,164,163]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN094-1.005 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n019.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 12:34:23 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-07-11T12:34:23
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-07-11T12:34:23
% 0.18/0.48  WARNING:
% 0.18/0.48     #:|p_10| is a proposition that occurs only positively; disabling rows that contain it.
% 0.18/0.48  WARNING:
% 0.18/0.48     #:|q_10| is a proposition 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/sandbox/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  ;       171 formulas have been input or derived (from 60 formulas).
% 0.18/0.51  ;       166 (97%) were retained.  Of these,
% 0.18/0.51  ;          142 (86%) were simplified or subsumed later,
% 0.18/0.51  ;           24 (14%) are still being kept.
% 0.18/0.51  ; 
% 0.18/0.51  ; Run time in seconds excluding printing time:
% 0.18/0.51  ;     0.009  17%   Read assertion file          (1 call)
% 0.18/0.51  ;     0.001   2%   Assert                       (82 calls)
% 0.18/0.51  ;     0.005  10%   Process new row              (170 calls)
% 0.18/0.51  ;     0.001   2%   Resolution                   (118 calls)
% 0.18/0.51  ;     0.000   0%   Paramodulation               (59 calls)
% 0.18/0.51  ;     0.000   0%   Factoring                    (19 calls)
% 0.18/0.51  ;     0.000   0%   Condensing                   (142 calls)
% 0.18/0.51  ;     0.003   6%   Forward subsumption          (142 calls)
% 0.18/0.51  ;     0.001   2%   Backward subsumption         (142 calls)
% 0.18/0.51  ;     0.004   8%   Forward simplification       (166 calls)
% 0.18/0.51  ;     0.003   6%   Backward simplification      (166 calls)
% 0.18/0.51  ;     0.000   0%   Ordering                     (53 calls)
% 0.18/0.51  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.18/0.51  ;     0.001   2%   Purity testing               (1 call)
% 0.18/0.51  ;     0.024  46%   Other
% 0.18/0.51  ;     0.052        Total
% 0.18/0.51  ;     0.057        Real time
% 0.18/0.51  ; 
% 0.18/0.51  ; Term-hash-array has 0 terms in all.
% 0.18/0.51  ; Feature-vector-row-index has 0 entries (77 at peak, 142 added, 142 deleted).
% 0.18/0.51  ; Feature-vector-row-index has 1 node (149 at peak, 293 added, 292 deleted).
% 0.18/0.51  ;  Retrieved 39 possibly forward subsuming rows in 142 calls.
% 0.18/0.51  ;  Retrieved 56 possibly backward subsumed rows in 142 calls.
% 0.18/0.51  ; Path-index has 23 entries (59 at peak, 63 added, 40 deleted).
% 0.18/0.51  ; Path-index has 24 nodes (60 at peak, 64 added, 40 deleted).
% 0.18/0.51  ; Trie-index has 23 entries (59 at peak, 63 added, 40 deleted).
% 0.18/0.51  ; Trie-index has 24 nodes (60 at peak, 64 added, 40 deleted).
% 0.18/0.51  ; Retrieved 23 instance terms in 23 calls.
% 0.18/0.51  ; Retrieved 177 unifiable terms in 177 calls.
% 0.18/0.51  ; 
% 0.18/0.51  ; The agenda of backward simplifiable rows to process has 1 entry:
% 0.18/0.51  ;     1 with value 0
% 0.18/0.51  ; The agenda of input rows to give has 3 entries:
% 0.18/0.51  ;     3 with value 1
% 0.18/0.51  ; The agenda of rows to give has 19 entries:
% 0.18/0.51  ;    19 with value (4 2)
% 0.18/0.51  Evaluation took:
% 0.18/0.51    0.057 seconds of real time
% 0.18/0.51    0.048018 seconds of user run time
% 0.18/0.51    0.009314 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    5,659,056 bytes consed.
% 0.18/0.51  :PROOF-FOUND
% 0.18/0.51  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T12:34:23
% 0.18/0.51  :PROOF-FOUND
% 0.18/0.51  * 
%------------------------------------------------------------------------------