TSTP Solution File: SYN168-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN168-1 : 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 11:58:10 EDT 2022

% Result   : Unsatisfiable 0.44s 0.60s
% Output   : Refutation 0.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   10 (   6 unt;   0 nHn;   7 RR)
%            Number of literals    :   16 (   0 equ;   7 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   14 (   7 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_6,axiom,
    q0(b,b),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_6) ).

cnf(axiom_19,axiom,
    m0(X,d,Y),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_19) ).

cnf(rule_107,axiom,
    ( q1(e,X,X)
    | ~ m0(X,d,X)
    | ~ m0(e,d,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_107) ).

cnf(155,plain,
    q1(e,X,X),
    inference('REWRITE',[status(thm)],[rule_107,axiom_19]) ).

cnf(rule_129,axiom,
    ( k2(X,X)
    | ~ q1(Y,X,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_129) ).

cnf(rule_252,axiom,
    ( p3(X,X,X)
    | ~ q0(Y,X)
    | ~ k2(Z,Z) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_252) ).

cnf(prove_this,negated_conjecture,
    ~ p3(X,Y,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(432,plain,
    k2(X,X),
    inference('HYPERRESOLVE',[status(thm)],[rule_129,155]) ).

cnf(433,plain,
    ( p3(X,X,X)
    | ~ q0(Y,X) ),
    inference('REWRITE',[status(thm)],[rule_252,432]) ).

cnf(436,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[433,prove_this,axiom_6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN168-1 : TPTP v8.1.0. Released v1.1.0.
% 0.11/0.13  % 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 21:56:14 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-07-11T21:56:14
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-07-11T21:56:14
% 0.19/0.55  WARNING:
% 0.19/0.55     |m5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.55  WARNING:
% 0.19/0.55     |q5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.55  WARNING:
% 0.19/0.55     |r5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.44/0.60  
% 0.44/0.60  
% 0.44/0.60  #||
% 0.44/0.60  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.44/0.60  % SZS output start Refutation
% See solution above
% 0.44/0.60  ||#
% 0.44/0.60  
% 0.44/0.60  ; Summary of computation:
% 0.44/0.60  ;       609 formulas have been input or derived (from 114 formulas).
% 0.44/0.60  ;       436 (72%) were retained.  Of these,
% 0.44/0.60  ;          115 (26%) were simplified or subsumed later,
% 0.44/0.60  ;          321 (74%) are still being kept.
% 0.44/0.60  ; 
% 0.44/0.60  ; Run time in seconds excluding printing time:
% 0.44/0.60  ;     0.064  48%   Read assertion file          (1 call)
% 0.44/0.60  ;     0.009   7%   Assert                       (369 calls)
% 0.44/0.60  ;     0.014  11%   Process new row              (506 calls)
% 0.44/0.60  ;     0.002   2%   Resolution                   (226 calls)
% 0.44/0.60  ;     0.000   0%   Paramodulation               (113 calls)
% 0.44/0.60  ;     0.003   2%   Condensing                   (312 calls)
% 0.44/0.60  ;     0.005   4%   Forward subsumption          (312 calls)
% 0.44/0.60  ;     0.006   5%   Backward subsumption         (298 calls)
% 0.44/0.60  ;     0.000   0%   Clause clause subsumption    (155 calls)
% 0.44/0.60  ;     0.006   5%   Forward simplification       (491 calls)
% 0.44/0.60  ;     0.002   2%   Backward simplification      (389 calls)
% 0.44/0.60  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.44/0.60  ;     0.002   2%   Purity testing               (1 call)
% 0.44/0.60  ;     0.019  14%   Other
% 0.44/0.60  ;     0.132        Total
% 0.44/0.60  ;     0.134        Real time
% 0.44/0.60  ; 
% 0.44/0.60  ; Term-hash-array has 554 terms in all.
% 0.44/0.60  ; Feature-vector-row-index has 244 entries (273 at peak, 298 added, 54 deleted).
% 0.44/0.60  ; Feature-vector-row-index has 812 nodes (936 at peak, 1,026 added, 214 deleted).
% 0.44/0.60  ;  Retrieved 137 possibly forward subsuming rows in 312 calls.
% 0.44/0.60  ;  Retrieved 139 possibly backward subsumed rows in 298 calls.
% 0.44/0.60  ; Path-index has 506 entries (527 at peak, 584 added, 78 deleted).
% 0.44/0.60  ; Path-index has 460 nodes (461 at peak, 501 added, 41 deleted).
% 0.44/0.60  ; Trie-index has 506 entries (527 at peak, 584 added, 78 deleted).
% 0.44/0.60  ; Trie-index has 568 nodes (584 at peak, 670 added, 102 deleted).
% 0.44/0.60  ; Retrieved 153 generalization terms in 572 calls.
% 0.44/0.60  ; Retrieved 166 instance terms in 90 calls.
% 0.44/0.60  ; Retrieved 2,459 unifiable terms in 438 calls.
% 0.44/0.60  ; 
% 0.44/0.60  ; The agenda of rows to process has 9 entries:
% 0.44/0.60  ;     1 with value 5               8 with value 6
% 0.44/0.60  ; The agenda of input rows to give has 189 entries:
% 0.44/0.60  ;    33 with value 10             22 with value 15               6 with value 20
% 0.44/0.60  ;     9 with value 11             11 with value 16               3 with value 21
% 0.44/0.60  ;    24 with value 12             14 with value 17               3 with value 22
% 0.44/0.60  ;    35 with value 13              7 with value 18               1 with value 24
% 0.44/0.60  ;    14 with value 14              7 with value 19
% 0.44/0.60  ; The agenda of rows to give has 33 entries:
% 0.44/0.60  ;    10 with value (4 4)           7 with value (4 5)           16 with value (4 6)
% 0.44/0.60  Evaluation took:
% 0.44/0.60    0.135 seconds of real time
% 0.44/0.60    0.122845 seconds of user run time
% 0.44/0.60    0.011858 seconds of system run time
% 0.44/0.60    0 calls to %EVAL
% 0.44/0.60    0 page faults and
% 0.44/0.60    7,476,376 bytes consed.
% 0.44/0.60  :PROOF-FOUND
% 0.44/0.60  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T21:56:14
% 0.44/0.60  :PROOF-FOUND
% 0.44/0.60  * 
%------------------------------------------------------------------------------