TSTP Solution File: SYN312-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN312-1 : TPTP v8.1.0. Bugfixed v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n021.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 11:59:09 EDT 2022

% Result   : Unsatisfiable 1.66s 1.88s
% Output   : Refutation 1.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   17 (  13 unt;   0 nHn;  17 RR)
%            Number of literals    :   22 (   0 equ;   9 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-1 aty)
%            Number of variables   :   13 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause1,negated_conjecture,
    ( p(X,Y,Z)
    | ~ p(X,U,Z)
    | ~ p(U,Y,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

cnf(clause2,negated_conjecture,
    ( p(X,Y,Z)
    | ~ p(Z,Y,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).

cnf(clause4,negated_conjecture,
    ( p(X,Y,f(Z))
    | ~ p(X,Y,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).

cnf(clause5,negated_conjecture,
    ( p(g(X),Y,Z)
    | ~ p(X,Y,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).

cnf(clause6,negated_conjecture,
    p(a,f(b),c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).

cnf(clause7,negated_conjecture,
    p(f(b),d,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).

cnf(clause8,negated_conjecture,
    ~ p(f(g(a)),f(g(d)),f(g(c))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).

cnf(14,plain,
    p(g(a),f(b),c),
    inference('HYPERRESOLVE',[status(thm)],[clause5,clause6]) ).

cnf(15,plain,
    p(g(d),f(b),c),
    inference('HYPERRESOLVE',[status(thm)],[clause5,clause7]) ).

cnf(18,plain,
    ~ p(f(g(a)),f(g(d)),g(c)),
    inference('UR-RESOLVE',[status(thm)],[clause4,clause8]) ).

cnf(113,plain,
    p(g(d),g(a),c),
    inference('HYPERRESOLVE',[status(thm)],[clause1,15,14]) ).

cnf(282,plain,
    p(c,g(a),g(d)),
    inference('HYPERRESOLVE',[status(thm)],[clause2,113]) ).

cnf(573,plain,
    p(c,g(a),f(g(d))),
    inference('HYPERRESOLVE',[status(thm)],[clause4,282]) ).

cnf(1032,plain,
    ~ p(g(c),f(g(d)),f(g(a))),
    inference('UR-RESOLVE',[status(thm)],[clause2,18]) ).

cnf(2033,plain,
    p(f(g(d)),c,g(a)),
    inference('HYPERRESOLVE',[status(thm)],[clause2,573]) ).

cnf(2268,plain,
    ~ p(g(c),f(g(d)),g(a)),
    inference('UR-RESOLVE',[status(thm)],[clause4,1032]) ).

cnf(2874,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[clause5,2268]),2033]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem  : SYN312-1 : TPTP v8.1.0. Bugfixed v2.0.0.
% 0.09/0.11  % Command  : run-snark %s %d
% 0.10/0.32  % Computer : n021.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit : 300
% 0.10/0.32  % WCLimit  : 600
% 0.10/0.32  % DateTime : Mon Jul 11 13:05:38 EDT 2022
% 0.10/0.32  % CPUTime  : 
% 0.16/0.42  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.43  * 
% 0.16/0.43  * 
% 0.16/0.43  #<PACKAGE "SNARK-USER">
% 0.16/0.43  * 
% 0.16/0.43  SNARK-TPTP-OPTIONS
% 0.16/0.43  * 
% 0.16/0.43  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.16/0.43   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.16/0.43   (USE-FACTORING :POS)
% 0.16/0.43   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.16/0.43   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.16/0.43   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.16/0.43   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.16/0.43   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.16/0.43   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.16/0.43   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.16/0.43   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.16/0.43   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.16/0.43   (DECLARE-TPTP-SYMBOLS2))
% 0.16/0.43  * 
% 0.16/0.43  "."
% 0.16/0.43  * 
% 0.16/0.43  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T13:05:38
% 0.16/0.43  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-07-11T13:05:38
% 0.16/0.44  
% 0.16/0.44  ; Recognized commutativity assertion (OR (|p| ?X ?Y ?Z) (NOT (|p| ?Y ?X ?Z))).
% 1.66/1.88  ; Declaring p to be commutative.
% 1.66/1.88  
% 1.66/1.88  #||
% 1.66/1.88  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.66/1.88  % SZS output start Refutation
% See solution above
% 1.66/1.88  ||#
% 1.66/1.88  
% 1.66/1.88  ; Summary of computation:
% 1.66/1.88  ;     43541 formulas have been input or derived (from 831 formulas).
% 1.66/1.88  ;      2874 ( 7%) were retained.  Of these,
% 1.66/1.88  ;         2874 (100%) are still being kept.
% 1.66/1.88  ; 
% 1.66/1.88  ; Run time in seconds excluding printing time:
% 1.66/1.88  ;     0.001   0%   Read assertion file          (1 call)
% 1.66/1.88  ;     0.001   0%   Assert                       (8 calls)
% 1.66/1.88  ;     0.305  21%   Process new row              (40,233 calls)
% 1.66/1.88  ;     0.630  44%   Resolution                   (1,660 calls)
% 1.66/1.88  ;     0.011   1%   Paramodulation               (830 calls)
% 1.66/1.88  ;     0.000   0%   Condensing                   (4 calls)
% 1.66/1.88  ;     0.000   0%   Forward subsumption          (4 calls)
% 1.66/1.88  ;     0.000   0%   Backward subsumption         (4 calls)
% 1.66/1.88  ;     0.001   0%   Clause clause subsumption    (3 calls)
% 1.66/1.88  ;     0.241  17%   Forward simplification       (40,233 calls)
% 1.66/1.88  ;     0.051   4%   Backward simplification      (2,874 calls)
% 1.66/1.88  ;     0.001   0%   Sortal reasoning             (32 calls)
% 1.66/1.88  ;     0.000   0%   Purity testing               (1 call)
% 1.66/1.88  ;     0.206  14%   Other
% 1.66/1.88  ;     1.448        Total
% 1.66/1.88  ;     1.450        Real time
% 1.66/1.88  ; 
% 1.66/1.88  ; Term-hash-array has 2,927 terms in all.
% 1.66/1.88  ; Feature-vector-row-index has 4 entries (4 at peak, 4 added, 0 deleted).
% 1.66/1.88  ; Feature-vector-row-index has 6 nodes (6 at peak, 6 added, 0 deleted).
% 1.66/1.88  ;  Retrieved 2 possibly forward subsuming rows in 4 calls.
% 1.66/1.88  ;  Retrieved 1 possibly backward subsumed row in 4 calls.
% 1.66/1.88  ; Path-index has 2,931 entries (2,931 at peak, 2,931 added, 0 deleted).
% 1.66/1.88  ; Path-index has 189 nodes (189 at peak, 189 added, 0 deleted).
% 1.66/1.88  ; Trie-index has 2,931 entries (2,931 at peak, 2,931 added, 0 deleted).
% 1.66/1.88  ; Trie-index has 4,559 nodes (4,559 at peak, 4,559 added, 0 deleted).
% 1.66/1.88  ; Retrieved 37,359 generalization terms in 40,237 calls.
% 1.66/1.88  ; Retrieved 4,662 instance terms in 2,869 calls.
% 1.66/1.88  ; Retrieved 129,175 unifiable terms in 19,805 calls.
% 1.66/1.88  ; 
% 1.66/1.88  ; The agenda of rows to process has 18 entries:
% 1.66/1.88  ;    10 with value 15              8 with value 16
% 1.66/1.88  ; The agenda of rows to give has 2043 entries:
% 1.66/1.88  ;     3 with value (4 14)        722 with value (4 16)          11 with value (4 18)
% 1.66/1.88  ;   601 with value (4 15)        684 with value (4 17)          22 with value (4 19)
% 1.66/1.88  Evaluation took:
% 1.66/1.88    1.45 seconds of real time
% 1.66/1.88    1.234539 seconds of user run time
% 1.66/1.88    0.216229 seconds of system run time
% 1.66/1.88    [Run times include 0.054 seconds GC run time.]
% 1.66/1.88    0 calls to %EVAL
% 1.66/1.88    0 page faults and
% 1.66/1.88    55,758,656 bytes consed.
% 1.66/1.88  :PROOF-FOUND
% 1.66/1.88  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T13:05:40
% 1.66/1.88  :PROOF-FOUND
% 1.66/1.88  * 
%------------------------------------------------------------------------------