TSTP Solution File: SYN222-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN222-1 : TPTP v8.1.0. Released v1.1.0.
% 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 11:58:33 EDT 2022

% Result   : Unsatisfiable 0.38s 0.60s
% Output   : Refutation 0.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   11 (   7 unt;   0 nHn;   6 RR)
%            Number of literals    :   16 (   0 equ;   6 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   16 (   8 sgn)

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

cnf(axiom_19,axiom,
    m0(X,d,Y),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_19) ).

cnf(rule_085,axiom,
    ( p1(X,X,X)
    | ~ p0(Y,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_085) ).

cnf(rule_110,axiom,
    ( q1(X,X,X)
    | ~ m0(Y,Z,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_110) ).

cnf(rule_154,axiom,
    ( p2(X,X,X)
    | ~ q1(X,X,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_154) ).

cnf(rule_216,axiom,
    ( l3(X,X)
    | ~ p1(X,X,Y)
    | ~ p2(Y,Z,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_216) ).

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

cnf(421,plain,
    p1(X,X,X),
    inference('HYPERRESOLVE',[status(thm)],[rule_085,axiom_14]) ).

cnf(448,plain,
    q1(X,X,X),
    inference('HYPERRESOLVE',[status(thm)],[rule_110,axiom_19]) ).

cnf(450,plain,
    p2(X,X,X),
    inference('REWRITE',[status(thm)],[rule_154,448]) ).

cnf(498,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[rule_216,prove_this,450]),421]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN222-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.12  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n019.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 20:04:23 EDT 2022
% 0.13/0.33  % 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 2022-07-11T20:04:23
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-07-11T20:04:23
% 0.38/0.54  WARNING:
% 0.38/0.54     |m5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.38/0.54  WARNING:
% 0.38/0.54     |q5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.38/0.54  WARNING:
% 0.38/0.54     |r5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.38/0.60  
% 0.38/0.60  
% 0.38/0.60  #||
% 0.38/0.60  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/0.60  % SZS output start Refutation
% See solution above
% 0.38/0.60  ||#
% 0.38/0.60  
% 0.38/0.60  ; Summary of computation:
% 0.38/0.60  ;       800 formulas have been input or derived (from 208 formulas).
% 0.38/0.60  ;       498 (62%) were retained.  Of these,
% 0.38/0.60  ;          219 (44%) were simplified or subsumed later,
% 0.38/0.60  ;          279 (56%) are still being kept.
% 0.38/0.60  ; 
% 0.38/0.60  ; Run time in seconds excluding printing time:
% 0.38/0.60  ;     0.062  44%   Read assertion file          (1 call)
% 0.38/0.60  ;     0.010   7%   Assert                       (369 calls)
% 0.38/0.60  ;     0.023  16%   Process new row              (678 calls)
% 0.38/0.60  ;     0.004   3%   Resolution                   (414 calls)
% 0.38/0.60  ;     0.000   0%   Paramodulation               (207 calls)
% 0.38/0.60  ;     0.003   2%   Condensing                   (321 calls)
% 0.38/0.60  ;     0.004   3%   Forward subsumption          (321 calls)
% 0.38/0.60  ;     0.005   4%   Backward subsumption         (307 calls)
% 0.38/0.60  ;     0.000   0%   Clause clause subsumption    (163 calls)
% 0.38/0.60  ;     0.003   2%   Forward simplification       (655 calls)
% 0.38/0.60  ;     0.005   4%   Backward simplification      (451 calls)
% 0.38/0.60  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.38/0.60  ;     0.001   1%   Purity testing               (1 call)
% 0.38/0.60  ;     0.021  15%   Other
% 0.38/0.60  ;     0.141        Total
% 0.38/0.60  ;     0.143        Real time
% 0.38/0.60  ; 
% 0.38/0.60  ; Term-hash-array has 594 terms in all.
% 0.38/0.60  ; Feature-vector-row-index has 172 entries (273 at peak, 307 added, 135 deleted).
% 0.38/0.60  ; Feature-vector-row-index has 636 nodes (936 at peak, 1,056 added, 420 deleted).
% 0.38/0.60  ;  Retrieved 139 possibly forward subsuming rows in 321 calls.
% 0.38/0.60  ;  Retrieved 151 possibly backward subsumed rows in 307 calls.
% 0.38/0.60  ; Path-index has 460 entries (528 at peak, 637 added, 177 deleted).
% 0.38/0.60  ; Path-index has 443 nodes (464 at peak, 519 added, 76 deleted).
% 0.38/0.60  ; Trie-index has 460 entries (528 at peak, 637 added, 177 deleted).
% 0.38/0.60  ; Trie-index has 544 nodes (586 at peak, 756 added, 212 deleted).
% 0.38/0.60  ; Retrieved 292 generalization terms in 732 calls.
% 0.38/0.60  ; Retrieved 384 instance terms in 143 calls.
% 0.38/0.60  ; Retrieved 4,837 unifiable terms in 951 calls.
% 0.38/0.60  ; 
% 0.38/0.60  ; The agenda of input rows to give has 56 entries:
% 0.38/0.60  ;     3 with value 14             11 with value 17               4 with value 20
% 0.38/0.60  ;    14 with value 15              4 with value 18               3 with value 21
% 0.38/0.60  ;    10 with value 16              6 with value 19               1 with value 22
% 0.38/0.60  ; The agenda of rows to give has 65 entries:
% 0.38/0.60  ;    13 with value (4 4)          11 with value (4 5)           41 with value (4 6)
% 0.38/0.60  Evaluation took:
% 0.38/0.60    0.143 seconds of real time
% 0.38/0.60    0.129662 seconds of user run time
% 0.38/0.60    0.013855 seconds of system run time
% 0.38/0.60    0 calls to %EVAL
% 0.38/0.60    0 page faults and
% 0.38/0.60    8,253,248 bytes consed.
% 0.38/0.60  :PROOF-FOUND
% 0.38/0.60  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T20:04:23
% 0.38/0.60  :PROOF-FOUND
% 0.38/0.60  * 
%------------------------------------------------------------------------------