TSTP Solution File: SYN224-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN224-1 : TPTP v8.1.0. Released v1.1.0.
% 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 11:58:34 EDT 2022

% Result   : Unsatisfiable 0.41s 0.60s
% Output   : Refutation 0.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   14 (   8 unt;   0 nHn;  13 RR)
%            Number of literals    :   21 (   0 equ;   9 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :    9 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_7,axiom,
    n0(d,b),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_7) ).

cnf(axiom_14,axiom,
    p0(b,X),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_14) ).

cnf(rule_001,axiom,
    ( k1(X)
    | ~ n0(Y,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_001) ).

cnf(rule_075,axiom,
    ( p1(a,a,a)
    | ~ p0(b,a) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_075) ).

cnf(122,plain,
    p1(a,a,a),
    inference('REWRITE',[status(thm)],[rule_075,axiom_14]) ).

cnf(rule_136,axiom,
    ( m2(b)
    | ~ k1(b) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_136) ).

cnf(rule_137,axiom,
    ( n2(X)
    | ~ p1(Y,Z,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_137) ).

cnf(rule_217,axiom,
    ( l3(X,X)
    | ~ n2(X)
    | ~ m2(b) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_217) ).

cnf(prove_this,negated_conjecture,
    ~ l3(a,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

cnf(382,plain,
    k1(b),
    inference('HYPERRESOLVE',[status(thm)],[rule_001,axiom_7]) ).

cnf(383,plain,
    m2(b),
    inference('REWRITE',[status(thm)],[rule_136,382]) ).

cnf(384,plain,
    ( l3(X,X)
    | ~ n2(X) ),
    inference('REWRITE',[status(thm)],[rule_217,383]) ).

cnf(394,plain,
    ~ n2(a),
    inference('UR-RESOLVE',[status(thm)],[384,prove_this]) ).

cnf(414,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[rule_137,122]),394]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN224-1 : TPTP v8.1.0. Released v1.1.0.
% 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 13:53:59 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45  * 
% 0.19/0.45  * 
% 0.19/0.46  #<PACKAGE "SNARK-USER">
% 0.19/0.46  * 
% 0.19/0.46  SNARK-TPTP-OPTIONS
% 0.19/0.46  * 
% 0.19/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46   (USE-FACTORING :POS)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46  * 
% 0.19/0.46  "."
% 0.19/0.46  * 
% 0.19/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T13:53:59
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-07-11T13:53:59
% 0.19/0.54  WARNING:
% 0.19/0.54     |m5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.54  WARNING:
% 0.19/0.54     |q5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.54  WARNING:
% 0.19/0.54     |r5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.41/0.60  
% 0.41/0.60  
% 0.41/0.60  #||
% 0.41/0.60  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.41/0.60  % SZS output start Refutation
% See solution above
% 0.41/0.60  ||#
% 0.41/0.60  
% 0.41/0.60  ; Summary of computation:
% 0.41/0.60  ;       495 formulas have been input or derived (from 70 formulas).
% 0.41/0.60  ;       414 (84%) were retained.  Of these,
% 0.41/0.60  ;           79 (19%) were simplified or subsumed later,
% 0.41/0.60  ;          335 (81%) are still being kept.
% 0.41/0.60  ; 
% 0.41/0.60  ; Run time in seconds:
% 0.41/0.60  ;     0.061  44%   Read assertion file          (1 call)
% 0.41/0.60  ;     0.011   8%   Assert                       (369 calls)
% 0.41/0.60  ;     0.020  14%   Process new row              (430 calls)
% 0.41/0.60  ;     0.002   1%   Resolution                   (138 calls)
% 0.41/0.60  ;     0.000   0%   Paramodulation               (69 calls)
% 0.41/0.60  ;     0.002   1%   Condensing                   (308 calls)
% 0.41/0.60  ;     0.008   6%   Forward subsumption          (308 calls)
% 0.41/0.60  ;     0.006   4%   Backward subsumption         (294 calls)
% 0.41/0.60  ;     0.002   1%   Clause clause subsumption    (152 calls)
% 0.41/0.60  ;     0.003   2%   Forward simplification       (419 calls)
% 0.41/0.60  ;     0.000   0%   Backward simplification      (367 calls)
% 0.41/0.60  ;     0.002   1%   Sortal reasoning             (32 calls)
% 0.41/0.60  ;     0.002   1%   Purity testing               (1 call)
% 0.41/0.60  ;     0.020  14%   Other
% 0.41/0.60  ;     0.139        Total
% 0.41/0.60  ;     0.139        Real time
% 0.41/0.60  ; 
% 0.41/0.60  ; Term-hash-array has 542 terms in all.
% 0.41/0.60  ; Feature-vector-row-index has 267 entries (273 at peak, 294 added, 27 deleted).
% 0.41/0.60  ; Feature-vector-row-index has 878 nodes (936 at peak, 1,022 added, 144 deleted).
% 0.41/0.60  ;  Retrieved 135 possibly forward subsuming rows in 308 calls.
% 0.41/0.60  ;  Retrieved 133 possibly backward subsumed rows in 294 calls.
% 0.41/0.60  ; Path-index has 525 entries (525 at peak, 566 added, 41 deleted).
% 0.41/0.60  ; Path-index has 456 nodes (458 at peak, 487 added, 31 deleted).
% 0.41/0.60  ; Trie-index has 525 entries (525 at peak, 566 added, 41 deleted).
% 0.41/0.60  ; Trie-index has 581 nodes (581 at peak, 645 added, 64 deleted).
% 0.41/0.60  ; Retrieved 100 generalization terms in 504 calls.
% 0.41/0.60  ; Retrieved 77 instance terms in 72 calls.
% 0.41/0.60  ; Retrieved 1,649 unifiable terms in 284 calls.
% 0.41/0.60  ; 
% 0.41/0.60  ; The agenda of rows to process has 3 entries:
% 0.41/0.60  ;     3 with value 4
% 0.41/0.60  ; The agenda of input rows to give has 246 entries:
% 0.41/0.60  ;    16 with value 8              17 with value 14               9 with value 19
% 0.41/0.60  ;    24 with value 9              22 with value 15               6 with value 20
% 0.41/0.60  ;    34 with value 10             10 with value 16               4 with value 21
% 0.41/0.60  ;    10 with value 11             17 with value 17               3 with value 22
% 0.41/0.60  ;    24 with value 12              8 with value 18               1 with value 24
% 0.41/0.60  ;    41 with value 13
% 0.41/0.60  ; The agenda of rows to give has 22 entries:
% 0.41/0.60  ;     8 with value (4 4)           5 with value (4 5)            9 with value (4 6)
% 0.41/0.60  Evaluation took:
% 0.41/0.60    0.139 seconds of real time
% 0.41/0.60    0.125245 seconds of user run time
% 0.41/0.60    0.014738 seconds of system run time
% 0.41/0.60    0 calls to %EVAL
% 0.41/0.60    0 page faults and
% 0.41/0.60    7,337,816 bytes consed.
% 0.41/0.60  :PROOF-FOUND
% 0.41/0.60  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T13:53:59
% 0.41/0.60  :PROOF-FOUND
% 0.41/0.60  * 
%------------------------------------------------------------------------------