TSTP Solution File: SYN141-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN141-1 : 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 11:57:59 EDT 2022

% Result   : Unsatisfiable 0.45s 0.62s
% Output   : Refutation 0.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   25 (  15 unt;   0 nHn;  21 RR)
%            Number of literals    :   41 (   0 equ;  21 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   13 (  12 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   23 (   9 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_9,axiom,
    r0(b),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_9) ).

cnf(axiom_18,axiom,
    p0(c,b),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_18) ).

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

cnf(axiom_27,axiom,
    m0(e,b,c),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_27) ).

cnf(axiom_30,axiom,
    n0(e,e),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_30) ).

cnf(axiom_34,axiom,
    n0(c,d),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_34) ).

cnf(rule_003,axiom,
    ( l1(X,Y)
    | ~ p0(Z,X)
    | ~ r0(U)
    | ~ m0(Y,X,Z) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_003) ).

cnf(rule_110,axiom,
    ( q1(X,X,X)
    | ~ m0(Y,Z,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_110) ).

cnf(rule_154,axiom,
    ( p2(X,X,X)
    | ~ q1(X,X,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_154) ).

cnf(rule_186,axiom,
    ( q2(X,X,Y)
    | ~ l1(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_186) ).

cnf(rule_240,axiom,
    ( n3(X)
    | ~ p2(Y,Z,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_240) ).

cnf(rule_255,axiom,
    ( q3(X,Y)
    | ~ q2(Z,X,Y)
    | ~ n0(Z,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_255) ).

cnf(rule_274,axiom,
    ( k4(c)
    | ~ n0(c,d)
    | ~ q3(e,b)
    | ~ n3(e) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_274) ).

cnf(334,plain,
    ( k4(c)
    | ~ q3(e,b)
    | ~ n3(e) ),
    inference('REWRITE',[status(thm)],[rule_274,axiom_34]) ).

cnf(rule_304,axiom,
    ( m5(X,X)
    | ~ k4(X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_304) ).

cnf(prove_this,negated_conjecture,
    ~ m5(c,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(397,plain,
    ~ k4(c),
    inference('UR-RESOLVE',[status(thm)],[rule_304,prove_this]) ).

cnf(398,plain,
    ( ~ q3(e,b)
    | ~ n3(e) ),
    inference('REWRITE',[status(thm)],[334,397]) ).

cnf(451,plain,
    q1(X,X,X),
    inference('HYPERRESOLVE',[status(thm)],[rule_110,axiom_19]) ).

cnf(453,plain,
    p2(X,X,X),
    inference('REWRITE',[status(thm)],[rule_154,451]) ).

cnf(456,plain,
    n3(X),
    inference('HYPERRESOLVE',[status(thm)],[rule_240,453]) ).

cnf(461,plain,
    ~ q3(e,b),
    inference('REWRITE',[status(thm)],[398,456]) ).

cnf(499,plain,
    ~ q2(e,e,b),
    inference('UR-RESOLVE',[status(thm)],[rule_255,461,axiom_30]) ).

cnf(509,plain,
    l1(b,e),
    inference('HYPERRESOLVE',[status(thm)],[rule_003,axiom_18,axiom_9,axiom_27]) ).

cnf(585,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[rule_186,509]),499]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SYN141-1 : TPTP v8.1.0. Released v1.1.0.
% 0.11/0.12  % 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 03:13:15 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-07-12T03:13:15
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-07-12T03:13:15
% 0.19/0.54  WARNING:
% 0.19/0.54     |q5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.54  WARNING:
% 0.19/0.54     |r5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.45/0.62  
% 0.45/0.62  
% 0.45/0.62  #||
% 0.45/0.62  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.45/0.62  % SZS output start Refutation
% See solution above
% 0.45/0.62  ||#
% 0.45/0.62  
% 0.45/0.62  ; Summary of computation:
% 0.45/0.62  ;      1151 formulas have been input or derived (from 309 formulas).
% 0.45/0.62  ;       585 (51%) were retained.  Of these,
% 0.45/0.62  ;          295 (50%) were simplified or subsumed later,
% 0.45/0.62  ;          290 (50%) are still being kept.
% 0.45/0.62  ; 
% 0.45/0.62  ; Run time in seconds excluding printing time:
% 0.45/0.62  ;     0.061  39%   Read assertion file          (1 call)
% 0.45/0.62  ;     0.008   5%   Assert                       (369 calls)
% 0.45/0.62  ;     0.023  15%   Process new row              (979 calls)
% 0.45/0.62  ;     0.014   9%   Resolution                   (616 calls)
% 0.45/0.62  ;     0.001   1%   Paramodulation               (308 calls)
% 0.45/0.62  ;     0.001   1%   Condensing                   (346 calls)
% 0.45/0.62  ;     0.003   2%   Forward subsumption          (346 calls)
% 0.45/0.62  ;     0.006   4%   Backward subsumption         (332 calls)
% 0.45/0.62  ;     0.000   0%   Clause clause subsumption    (169 calls)
% 0.45/0.62  ;     0.004   3%   Forward simplification       (919 calls)
% 0.45/0.62  ;     0.007   5%   Backward simplification      (538 calls)
% 0.45/0.62  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.45/0.62  ;     0.001   1%   Purity testing               (1 call)
% 0.45/0.62  ;     0.026  17%   Other
% 0.45/0.62  ;     0.155        Total
% 0.45/0.62  ;     0.156        Real time
% 0.45/0.62  ; 
% 0.45/0.62  ; Term-hash-array has 646 terms in all.
% 0.45/0.62  ; Feature-vector-row-index has 141 entries (277 at peak, 332 added, 191 deleted).
% 0.45/0.62  ; Feature-vector-row-index has 527 nodes (944 at peak, 1,145 added, 618 deleted).
% 0.45/0.62  ;  Retrieved 148 possibly forward subsuming rows in 346 calls.
% 0.45/0.62  ;  Retrieved 160 possibly backward subsumed rows in 332 calls.
% 0.45/0.62  ; Path-index has 448 entries (532 at peak, 725 added, 277 deleted).
% 0.45/0.62  ; Path-index has 451 nodes (471 at peak, 564 added, 113 deleted).
% 0.45/0.62  ; Trie-index has 448 entries (532 at peak, 725 added, 277 deleted).
% 0.45/0.62  ; Trie-index has 593 nodes (601 at peak, 895 added, 302 deleted).
% 0.45/0.62  ; Retrieved 536 generalization terms in 1,002 calls.
% 0.45/0.62  ; Retrieved 520 instance terms in 205 calls.
% 0.45/0.62  ; Retrieved 9,105 unifiable terms in 2,012 calls.
% 0.45/0.62  ; 
% 0.45/0.62  ; The agenda of rows to give has 84 entries:
% 0.45/0.62  ;     8 with value (4 5)          55 with value (4 6)           21 with value (4 7)
% 0.45/0.62  Evaluation took:
% 0.45/0.62    0.157 seconds of real time
% 0.45/0.62    0.144849 seconds of user run time
% 0.45/0.62    0.012121 seconds of system run time
% 0.45/0.62    0 calls to %EVAL
% 0.45/0.62    0 page faults and
% 0.45/0.62    10,013,608 bytes consed.
% 0.45/0.62  :PROOF-FOUND
% 0.45/0.62  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-12T03:13:15
% 0.45/0.62  :PROOF-FOUND
% 0.45/0.62  * 
%------------------------------------------------------------------------------