TSTP Solution File: SYN129-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN129-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n009.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 11:57:54 EDT 2022

% Result   : Unsatisfiable 0.47s 0.64s
% Output   : Refutation 0.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   24 (  14 unt;   0 nHn;  15 RR)
%            Number of literals    :   38 (   0 equ;  16 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   14 (  13 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   32 (  11 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_3,axiom,
    n0(d,e),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_3) ).

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(axiom_32,axiom,
    k0(b),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_32) ).

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

cnf(rule_085,axiom,
    ( p1(X,X,X)
    | ~ p0(Y,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_085) ).

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_177,axiom,
    ( q2(X,Y,Y)
    | ~ k0(Y)
    | ~ p1(X,X,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_177) ).

cnf(rule_205,axiom,
    ( k3(X,X,X)
    | ~ p2(Y,X,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_205) ).

cnf(rule_238,axiom,
    ( m3(X,X,X)
    | ~ p2(X,X,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_238) ).

cnf(rule_295,axiom,
    ( q4(X,Y)
    | ~ k3(Z,Z,X)
    | ~ q2(U,Y,X)
    | ~ m3(U,V,U) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_295) ).

cnf(rule_302,axiom,
    ( l5(X)
    | ~ q4(Y,Y)
    | ~ k1(X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_302) ).

cnf(prove_this,negated_conjecture,
    ~ l5(e),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

cnf(388,plain,
    k1(e),
    inference('HYPERRESOLVE',[status(thm)],[rule_001,axiom_3]) ).

cnf(418,plain,
    p1(X,X,X),
    inference('HYPERRESOLVE',[status(thm)],[rule_085,axiom_14]) ).

cnf(419,plain,
    ( q2(X,Y,Y)
    | ~ k0(Y) ),
    inference('REWRITE',[status(thm)],[rule_177,418]) ).

cnf(423,plain,
    q2(X,b,b),
    inference('HYPERRESOLVE',[status(thm)],[419,axiom_32]) ).

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(448,plain,
    m3(X,X,X),
    inference('REWRITE',[status(thm)],[rule_238,447]) ).

cnf(457,plain,
    k3(X,X,X),
    inference('HYPERRESOLVE',[status(thm)],[rule_205,447]) ).

cnf(518,plain,
    ~ q4(X,X),
    inference('UR-RESOLVE',[status(thm)],[rule_302,388,prove_this]) ).

cnf(661,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[rule_295,457,423,448]),518]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN129-1 : TPTP v8.1.0. Released v1.1.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n009.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 21:20:22 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 2022-07-11T21:20:22
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n009.cluster.edu at 2022-07-11T21:20:22
% 0.19/0.56  WARNING:
% 0.19/0.56     |m5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.56  WARNING:
% 0.19/0.56     |q5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.56  WARNING:
% 0.19/0.56     |r5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.64  
% 0.47/0.64  
% 0.47/0.64  #||
% 0.47/0.64  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.64  % SZS output start Refutation
% See solution above
% 0.47/0.65  ||#
% 0.47/0.65  
% 0.47/0.65  ; Summary of computation:
% 0.47/0.65  ;      1506 formulas have been input or derived (from 348 formulas).
% 0.47/0.65  ;       661 (44%) were retained.  Of these,
% 0.47/0.65  ;          349 (53%) were simplified or subsumed later,
% 0.47/0.65  ;          312 (47%) are still being kept.
% 0.47/0.65  ; 
% 0.47/0.65  ; Run time in seconds excluding printing time:
% 0.47/0.65  ;     0.062  36%   Read assertion file          (1 call)
% 0.47/0.65  ;     0.009   5%   Assert                       (369 calls)
% 0.47/0.65  ;     0.024  14%   Process new row              (1,245 calls)
% 0.47/0.65  ;     0.012   7%   Resolution                   (694 calls)
% 0.47/0.65  ;     0.003   2%   Paramodulation               (347 calls)
% 0.47/0.65  ;     0.003   2%   Condensing                   (356 calls)
% 0.47/0.65  ;     0.007   4%   Forward subsumption          (356 calls)
% 0.47/0.65  ;     0.010   6%   Backward subsumption         (342 calls)
% 0.47/0.65  ;     0.000   0%   Clause clause subsumption    (170 calls)
% 0.47/0.65  ;     0.004   2%   Forward simplification       (1,180 calls)
% 0.47/0.65  ;     0.010   6%   Backward simplification      (614 calls)
% 0.47/0.65  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.47/0.65  ;     0.002   1%   Purity testing               (1 call)
% 0.47/0.65  ;     0.026  15%   Other
% 0.47/0.65  ;     0.172        Total
% 0.47/0.65  ;     0.174        Real time
% 0.47/0.65  ; 
% 0.47/0.65  ; Term-hash-array has 693 terms in all.
% 0.47/0.65  ; Feature-vector-row-index has 124 entries (273 at peak, 342 added, 218 deleted).
% 0.47/0.65  ; Feature-vector-row-index has 444 nodes (936 at peak, 1,190 added, 746 deleted).
% 0.47/0.65  ;  Retrieved 149 possibly forward subsuming rows in 356 calls.
% 0.47/0.65  ;  Retrieved 163 possibly backward subsumed rows in 342 calls.
% 0.47/0.65  ; Path-index has 456 entries (528 at peak, 794 added, 338 deleted).
% 0.47/0.65  ; Path-index has 449 nodes (464 at peak, 589 added, 140 deleted).
% 0.47/0.65  ; Trie-index has 456 entries (528 at peak, 794 added, 338 deleted).
% 0.47/0.65  ; Trie-index has 623 nodes (634 at peak, 1,008 added, 385 deleted).
% 0.47/0.65  ; Retrieved 802 generalization terms in 1,276 calls.
% 0.47/0.65  ; Retrieved 637 instance terms in 271 calls.
% 0.47/0.65  ; Retrieved 12,465 unifiable terms in 2,757 calls.
% 0.47/0.65  ; 
% 0.47/0.65  ; The agenda of rows to process has 23 entries:
% 0.47/0.65  ;     5 with value 6              18 with value 7
% 0.47/0.65  ; The agenda of rows to give has 100 entries:
% 0.47/0.65  ;    45 with value (4 6)          53 with value (4 7)            2 with value (4 8)
% 0.47/0.65  Evaluation took:
% 0.47/0.65    0.174 seconds of real time
% 0.47/0.65    0.158938 seconds of user run time
% 0.47/0.65    0.01583 seconds of system run time
% 0.47/0.65    0 calls to %EVAL
% 0.47/0.65    0 page faults and
% 0.47/0.65    10,771,768 bytes consed.
% 0.47/0.65  :PROOF-FOUND
% 0.47/0.65  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T21:20:22
% 0.47/0.65  :PROOF-FOUND
% 0.47/0.65  * 
%------------------------------------------------------------------------------