TSTP Solution File: SYN250-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN250-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n013.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 11:58:44 EDT 2022

% Result   : Unsatisfiable 0.48s 0.68s
% Output   : Refutation 0.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   20 (  13 unt;   0 nHn;  17 RR)
%            Number of literals    :   35 (   0 equ;  17 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   22 (   8 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_6,axiom,
    q0(b,b),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_6) ).

cnf(axiom_12,axiom,
    m0(a,X,a),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_12) ).

cnf(axiom_13,axiom,
    r0(e),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_13) ).

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

cnf(axiom_21,axiom,
    q0(b,e),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_21) ).

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

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

cnf(rule_007,axiom,
    ( m1(X,Y,X)
    | ~ p0(Z,Y)
    | ~ r0(X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_007) ).

cnf(rule_016,axiom,
    ( m1(X,Y,Y)
    | ~ m1(Z,Y,X)
    | ~ m1(Z,U,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_016) ).

cnf(rule_024,axiom,
    ( m1(X,a,Y)
    | ~ m0(a,Z,a)
    | ~ q0(X,Y)
    | ~ m1(Y,c,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_024) ).

cnf(65,plain,
    ( m1(X,a,Y)
    | ~ q0(X,Y)
    | ~ m1(Y,c,Y) ),
    inference('REWRITE',[status(thm)],[rule_024,axiom_12]) ).

cnf(rule_034,axiom,
    ( m1(X,Y,Y)
    | ~ k1(a)
    | ~ k1(Y)
    | ~ q0(X,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_034) ).

cnf(prove_this,negated_conjecture,
    ~ m1(e,a,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

cnf(386,plain,
    k1(a),
    inference('HYPERRESOLVE',[status(thm)],[rule_001,axiom_37]) ).

cnf(387,plain,
    ( m1(X,Y,Y)
    | ~ k1(Y)
    | ~ q0(X,X) ),
    inference('REWRITE',[status(thm)],[rule_034,386]) ).

cnf(469,plain,
    m1(e,X,e),
    inference('HYPERRESOLVE',[status(thm)],[rule_007,axiom_14,axiom_13]) ).

cnf(518,plain,
    m1(b,a,a),
    inference('HYPERRESOLVE',[status(thm)],[387,386,axiom_6]) ).

cnf(703,plain,
    m1(b,a,e),
    inference('HYPERRESOLVE',[status(thm)],[65,469,axiom_21]) ).

cnf(705,plain,
    ~ m1(e,X,a),
    inference('UR-RESOLVE',[status(thm)],[rule_016,469,prove_this]) ).

cnf(843,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[rule_016,703,518]),705]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SYN250-1 : TPTP v8.1.0. Released v1.1.0.
% 0.04/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n013.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Tue Jul 12 05:34:44 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47  * 
% 0.19/0.47  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.48  SNARK-TPTP-OPTIONS
% 0.19/0.48  * 
% 0.19/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48   (USE-FACTORING :POS)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48  * 
% 0.19/0.48  "."
% 0.19/0.48  * 
% 0.19/0.48  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T05:34:45
% 0.19/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-07-12T05:34:45
% 0.39/0.56  WARNING:
% 0.39/0.56     |m5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.39/0.56  WARNING:
% 0.39/0.56     |q5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.39/0.56  WARNING:
% 0.39/0.56     |r5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.68  
% 0.48/0.68  
% 0.48/0.68  #||
% 0.48/0.68  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.48/0.68  % SZS output start Refutation
% See solution above
% 0.48/0.69  ||#
% 0.48/0.69  
% 0.48/0.69  ; Summary of computation:
% 0.48/0.69  ;      3127 formulas have been input or derived (from 497 formulas).
% 0.48/0.69  ;       843 (27%) were retained.  Of these,
% 0.48/0.69  ;          396 (47%) were simplified or subsumed later,
% 0.48/0.69  ;          447 (53%) are still being kept.
% 0.48/0.69  ; 
% 0.48/0.69  ; Run time in seconds excluding printing time:
% 0.48/0.69  ;     0.061  30%   Read assertion file          (1 call)
% 0.48/0.69  ;     0.009   4%   Assert                       (369 calls)
% 0.48/0.69  ;     0.034  17%   Process new row              (2,390 calls)
% 0.48/0.69  ;     0.034  17%   Resolution                   (992 calls)
% 0.48/0.69  ;     0.001   0%   Paramodulation               (496 calls)
% 0.48/0.69  ;     0.003   1%   Condensing                   (359 calls)
% 0.48/0.69  ;     0.002   1%   Forward subsumption          (359 calls)
% 0.48/0.69  ;     0.006   3%   Backward subsumption         (345 calls)
% 0.48/0.69  ;     0.000   0%   Clause clause subsumption    (170 calls)
% 0.48/0.69  ;     0.013   6%   Forward simplification       (2,311 calls)
% 0.48/0.69  ;     0.009   4%   Backward simplification      (796 calls)
% 0.48/0.69  ;     0.002   1%   Sortal reasoning             (32 calls)
% 0.48/0.69  ;     0.002   1%   Purity testing               (1 call)
% 0.48/0.69  ;     0.030  15%   Other
% 0.48/0.69  ;     0.206        Total
% 0.48/0.69  ;     0.218        Real time
% 0.48/0.69  ; 
% 0.48/0.69  ; Term-hash-array has 841 terms in all.
% 0.48/0.69  ; Feature-vector-row-index has 100 entries (273 at peak, 345 added, 245 deleted).
% 0.48/0.69  ; Feature-vector-row-index has 326 nodes (936 at peak, 1,198 added, 872 deleted).
% 0.48/0.69  ;  Retrieved 149 possibly forward subsuming rows in 359 calls.
% 0.48/0.69  ;  Retrieved 160 possibly backward subsumed rows in 345 calls.
% 0.48/0.69  ; Path-index has 564 entries (564 at peak, 961 added, 397 deleted).
% 0.48/0.70  ; Path-index has 486 nodes (486 at peak, 651 added, 165 deleted).
% 0.48/0.70  ; Trie-index has 564 entries (564 at peak, 961 added, 397 deleted).
% 0.48/0.70  ; Trie-index has 800 nodes (800 at peak, 1,250 added, 450 deleted).
% 0.48/0.70  ; Retrieved 1,914 generalization terms in 2,400 calls.
% 0.48/0.70  ; Retrieved 867 instance terms in 450 calls.
% 0.48/0.70  ; Retrieved 24,612 unifiable terms in 5,801 calls.
% 0.48/0.70  ; 
% 0.48/0.70  ; The agenda of rows to process has 5 entries:
% 0.48/0.70  ;     5 with value 8
% 0.48/0.70  ; The agenda of rows to give has 122 entries:
% 0.48/0.70  ;    38 with value (4 7)          82 with value (4 8)            2 with value (4 9)
% 0.48/0.70  Evaluation took:
% 0.48/0.70    0.218 seconds of real time
% 0.48/0.70    0.196914 seconds of user run time
% 0.48/0.70    0.02185 seconds of system run time
% 0.48/0.70    [Run times include 0.01 seconds GC run time.]
% 0.48/0.70    0 calls to %EVAL
% 0.48/0.70    0 page faults and
% 0.48/0.70    13,012,448 bytes consed.
% 0.48/0.70  :PROOF-FOUND
% 0.48/0.70  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T05:34:45
% 0.48/0.70  :PROOF-FOUND
% 0.48/0.70  * 
%------------------------------------------------------------------------------