TSTP Solution File: SYN211-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN211-1 : 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 11:58:28 EDT 2022

% Result   : Unsatisfiable 0.50s 0.66s
% Output   : Refutation 0.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   18 (  11 unt;   0 nHn;  11 RR)
%            Number of literals    :   29 (   0 equ;  13 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   30 (  17 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_19,axiom,
    m0(X,d,Y),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_19) ).

cnf(rule_003,axiom,
    ( l1(X,Y)
    | ~ p0(Z,X)
    | ~ r0(U)
    | ~ m0(Y,X,Z) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_003) ).

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_240,axiom,
    ( n3(X)
    | ~ p2(Y,Z,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_240) ).

cnf(rule_248,axiom,
    ( p3(X,X,X)
    | ~ p2(Y,X,X)
    | ~ n3(X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_248) ).

cnf(rule_299,axiom,
    ( s4(X)
    | ~ p3(Y,Z,U)
    | ~ l1(X,Z) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_299) ).

cnf(prove_this,negated_conjecture,
    ~ s4(d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

cnf(445,plain,
    q1(X,X,X),
    inference('HYPERRESOLVE',[status(thm)],[rule_110,axiom_19]) ).

cnf(447,plain,
    p2(X,X,X),
    inference('REWRITE',[status(thm)],[rule_154,445]) ).

cnf(450,plain,
    n3(X),
    inference('HYPERRESOLVE',[status(thm)],[rule_240,447]) ).

cnf(452,plain,
    ( p3(X,X,X)
    | ~ p2(Y,X,X) ),
    inference('REWRITE',[status(thm)],[rule_248,450]) ).

cnf(459,plain,
    p3(X,X,X),
    inference('HYPERRESOLVE',[status(thm)],[452,447]) ).

cnf(502,plain,
    l1(d,X),
    inference('HYPERRESOLVE',[status(thm)],[rule_003,axiom_14,axiom_9,axiom_19]) ).

cnf(580,plain,
    ~ p3(X,Y,Z),
    inference('UR-RESOLVE',[status(thm)],[rule_299,502,prove_this]) ).

cnf(581,plain,
    $false,
    inference('REWRITE',[status(thm)],[459,580]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYN211-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n013.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 : Tue Jul 12 03:47:29 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 2022-07-12T03:47:30
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-07-12T03:47:30
% 0.18/0.55  WARNING:
% 0.18/0.55     |m5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.55  WARNING:
% 0.18/0.55     |q5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.55  WARNING:
% 0.18/0.55     |r5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.50/0.66  
% 0.50/0.66  
% 0.50/0.66  #||
% 0.50/0.66  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.50/0.66  % SZS output start Refutation
% See solution above
% 0.50/0.66  ||#
% 0.50/0.66  
% 0.50/0.66  ; Summary of computation:
% 0.50/0.66  ;      1166 formulas have been input or derived (from 304 formulas).
% 0.50/0.66  ;       581 (50%) were retained.  Of these,
% 0.50/0.66  ;          307 (53%) were simplified or subsumed later,
% 0.50/0.66  ;          274 (47%) are still being kept.
% 0.50/0.66  ; 
% 0.50/0.66  ; Run time in seconds excluding printing time:
% 0.50/0.66  ;     0.063  32%   Read assertion file          (1 call)
% 0.50/0.66  ;     0.008   4%   Assert                       (369 calls)
% 0.50/0.66  ;     0.038  19%   Process new row              (983 calls)
% 0.50/0.66  ;     0.011   6%   Resolution                   (606 calls)
% 0.50/0.66  ;     0.002   1%   Paramodulation               (303 calls)
% 0.50/0.66  ;     0.001   0%   Condensing                   (342 calls)
% 0.50/0.66  ;     0.007   4%   Forward subsumption          (342 calls)
% 0.50/0.66  ;     0.007   4%   Backward subsumption         (328 calls)
% 0.50/0.66  ;     0.000   0%   Clause clause subsumption    (169 calls)
% 0.50/0.66  ;     0.018   9%   Forward simplification       (919 calls)
% 0.50/0.66  ;     0.016   8%   Backward simplification      (534 calls)
% 0.50/0.66  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.50/0.66  ;     0.002   1%   Purity testing               (1 call)
% 0.50/0.66  ;     0.027  14%   Other
% 0.50/0.66  ;     0.200        Total
% 0.50/0.66  ;     0.204        Real time
% 0.50/0.66  ; 
% 0.50/0.66  ; Term-hash-array has 642 terms in all.
% 0.50/0.66  ; Feature-vector-row-index has 127 entries (273 at peak, 328 added, 201 deleted).
% 0.50/0.66  ; Feature-vector-row-index has 472 nodes (936 at peak, 1,138 added, 666 deleted).
% 0.50/0.66  ;  Retrieved 147 possibly forward subsuming rows in 342 calls.
% 0.50/0.66  ;  Retrieved 159 possibly backward subsumed rows in 328 calls.
% 0.50/0.66  ; Path-index has 420 entries (528 at peak, 720 added, 300 deleted).
% 0.50/0.66  ; Path-index has 429 nodes (464 at peak, 556 added, 127 deleted).
% 0.50/0.66  ; Trie-index has 420 entries (528 at peak, 720 added, 300 deleted).
% 0.50/0.66  ; Trie-index has 561 nodes (590 at peak, 887 added, 326 deleted).
% 0.50/0.66  ; Retrieved 540 generalization terms in 1,004 calls.
% 0.50/0.66  ; Retrieved 529 instance terms in 205 calls.
% 0.50/0.66  ; Retrieved 9,191 unifiable terms in 2,021 calls.
% 0.50/0.66  ; 
% 0.50/0.66  ; The agenda of backward simplifiable rows to process has 6 entries:
% 0.50/0.66  ;     6 with value 0
% 0.50/0.66  ; The agenda of rows to give has 83 entries:
% 0.50/0.66  ;     7 with value (4 5)          53 with value (4 6)           23 with value (4 7)
% 0.50/0.66  Evaluation took:
% 0.50/0.66    0.204 seconds of real time
% 0.50/0.66    0.186932 seconds of user run time
% 0.50/0.66    0.015922 seconds of system run time
% 0.50/0.66    0 calls to %EVAL
% 0.50/0.66    0 page faults and
% 0.50/0.66    9,665,088 bytes consed.
% 0.50/0.66  :PROOF-FOUND
% 0.50/0.66  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T03:47:30
% 0.50/0.66  :PROOF-FOUND
% 0.50/0.66  * 
%------------------------------------------------------------------------------