TSTP Solution File: SYN225-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN225-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n014.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 0.38s 0.61s
% Output   : Refutation 0.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   11 (   8 unt;   0 nHn;   8 RR)
%            Number of literals    :   16 (   0 equ;   7 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   :   10 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_9,axiom,
    r0(b),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_9) ).

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

cnf(axiom_37,axiom,
    n0(b,a),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_37) ).

cnf(rule_092,axiom,
    ( q1(X,Y,X)
    | ~ n0(Z,Y)
    | ~ p0(U,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_092) ).

cnf(rule_141,axiom,
    ( p2(X,a,X)
    | ~ q1(X,a,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_141) ).

cnf(rule_215,axiom,
    ( l3(X,Y)
    | ~ r0(X)
    | ~ p2(X,Y,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_215) ).

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

cnf(476,plain,
    ~ p2(b,a,b),
    inference('UR-RESOLVE',[status(thm)],[rule_215,prove_this,axiom_9]) ).

cnf(483,plain,
    q1(X,a,X),
    inference('HYPERRESOLVE',[status(thm)],[rule_092,axiom_37,axiom_14]) ).

cnf(484,plain,
    p2(X,a,X),
    inference('REWRITE',[status(thm)],[rule_141,483]) ).

cnf(485,plain,
    $false,
    inference('REWRITE',[status(thm)],[476,484]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SYN225-1 : TPTP v8.1.0. Released v1.1.0.
% 0.06/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n014.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon Jul 11 11:30:19 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 0.19/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47   (USE-FACTORING :POS)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T11:30:19
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-07-11T11:30:19
% 0.38/0.55  WARNING:
% 0.38/0.55     |m5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.38/0.55  WARNING:
% 0.38/0.55     |q5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.38/0.55  WARNING:
% 0.38/0.55     |r5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.38/0.61  
% 0.38/0.61  
% 0.38/0.61  #||
% 0.38/0.61  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/0.61  % SZS output start Refutation
% See solution above
% 0.38/0.61  ||#
% 0.38/0.61  
% 0.38/0.61  ; Summary of computation:
% 0.38/0.61  ;       781 formulas have been input or derived (from 183 formulas).
% 0.38/0.61  ;       485 (62%) were retained.  Of these,
% 0.38/0.61  ;          215 (44%) were simplified or subsumed later,
% 0.38/0.61  ;          270 (56%) are still being kept.
% 0.38/0.61  ; 
% 0.38/0.61  ; Run time in seconds excluding printing time:
% 0.38/0.61  ;     0.062  44%   Read assertion file          (1 call)
% 0.38/0.61  ;     0.009   6%   Assert                       (369 calls)
% 0.38/0.61  ;     0.016  11%   Process new row              (640 calls)
% 0.38/0.61  ;     0.003   2%   Resolution                   (364 calls)
% 0.38/0.61  ;     0.002   1%   Paramodulation               (182 calls)
% 0.38/0.61  ;     0.006   4%   Condensing                   (320 calls)
% 0.38/0.61  ;     0.001   1%   Forward subsumption          (320 calls)
% 0.38/0.61  ;     0.006   4%   Backward subsumption         (306 calls)
% 0.38/0.61  ;     0.002   1%   Clause clause subsumption    (163 calls)
% 0.38/0.61  ;     0.008   6%   Forward simplification       (617 calls)
% 0.38/0.61  ;     0.005   4%   Backward simplification      (438 calls)
% 0.38/0.61  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.38/0.61  ;     0.001   1%   Purity testing               (1 call)
% 0.38/0.61  ;     0.020  14%   Other
% 0.38/0.61  ;     0.141        Total
% 0.38/0.61  ;     0.143        Real time
% 0.38/0.61  ; 
% 0.38/0.61  ; Term-hash-array has 585 terms in all.
% 0.38/0.61  ; Feature-vector-row-index has 174 entries (273 at peak, 306 added, 132 deleted).
% 0.38/0.61  ; Feature-vector-row-index has 647 nodes (936 at peak, 1,050 added, 403 deleted).
% 0.38/0.61  ;  Retrieved 139 possibly forward subsuming rows in 320 calls.
% 0.38/0.61  ;  Retrieved 151 possibly backward subsumed rows in 306 calls.
% 0.38/0.61  ; Path-index has 454 entries (525 at peak, 625 added, 171 deleted).
% 0.38/0.61  ; Path-index has 438 nodes (461 at peak, 512 added, 74 deleted).
% 0.38/0.61  ; Trie-index has 454 entries (525 at peak, 625 added, 171 deleted).
% 0.38/0.61  ; Trie-index has 534 nodes (581 at peak, 738 added, 204 deleted).
% 0.38/0.61  ; Retrieved 260 generalization terms in 694 calls.
% 0.38/0.61  ; Retrieved 366 instance terms in 131 calls.
% 0.38/0.61  ; Retrieved 4,132 unifiable terms in 804 calls.
% 0.38/0.61  ; 
% 0.38/0.61  ; The agenda of rows to process has 22 entries:
% 0.38/0.61  ;    22 with value 6
% 0.38/0.61  ; The agenda of input rows to give has 82 entries:
% 0.38/0.61  ;     1 with value 5              10 with value 16               5 with value 20
% 0.38/0.61  ;    18 with value 13             11 with value 17               3 with value 21
% 0.38/0.61  ;     9 with value 14              4 with value 18               1 with value 22
% 0.38/0.61  ;    14 with value 15              6 with value 19
% 0.38/0.61  ; The agenda of rows to give has 55 entries:
% 0.38/0.61  ;    10 with value (4 4)           8 with value (4 5)           37 with value (4 6)
% 0.38/0.61  Evaluation took:
% 0.38/0.61    0.143 seconds of real time
% 0.38/0.61    0.133118 seconds of user run time
% 0.38/0.61    0.009843 seconds of system run time
% 0.38/0.61    0 calls to %EVAL
% 0.38/0.61    0 page faults and
% 0.38/0.61    8,112,776 bytes consed.
% 0.38/0.61  :PROOF-FOUND
% 0.38/0.61  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T11:30:19
% 0.38/0.61  :PROOF-FOUND
% 0.38/0.61  * 
%------------------------------------------------------------------------------