TSTP Solution File: SYN311-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN311-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n010.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 11:59:08 EDT 2022

% Result   : Unsatisfiable 0.86s 1.03s
% Output   : Refutation 0.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   19 (  15 unt;   0 nHn;  19 RR)
%            Number of literals    :   23 (   0 equ;  10 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-4 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-1 aty)
%            Number of variables   :   16 (   0 sgn)

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

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

cnf(clause3,negated_conjecture,
    ( p(X,Y,Z,g(U))
    | ~ p(X,Y,Z,U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).

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

cnf(clause5,negated_conjecture,
    p(a,b,c,d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).

cnf(clause6,negated_conjecture,
    ~ p(f(g(d)),f(g(c)),f(g(b)),f(g(a))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).

cnf(7,plain,
    p(d,a,b,c),
    inference('HYPERRESOLVE',[status(thm)],[clause1,clause5]) ).

cnf(11,plain,
    ~ p(g(d),f(g(c)),f(g(b)),f(g(a))),
    inference('UR-RESOLVE',[status(thm)],[clause4,clause6]) ).

cnf(17,plain,
    p(d,a,b,g(c)),
    inference('HYPERRESOLVE',[status(thm)],[clause3,7]) ).

cnf(44,plain,
    p(g(c),d,a,b),
    inference('HYPERRESOLVE',[status(thm)],[clause1,17]) ).

cnf(94,plain,
    p(g(c),d,a,g(b)),
    inference('HYPERRESOLVE',[status(thm)],[clause3,44]) ).

cnf(246,plain,
    p(f(g(c)),d,a,g(b)),
    inference('HYPERRESOLVE',[status(thm)],[clause4,94]) ).

cnf(972,plain,
    ~ p(f(g(a)),f(g(b)),f(g(c)),g(d)),
    inference('UR-RESOLVE',[status(thm)],[clause2,11]) ).

cnf(1027,plain,
    p(g(b),f(g(c)),d,a),
    inference('HYPERRESOLVE',[status(thm)],[clause1,246]) ).

cnf(2140,plain,
    ~ p(f(g(a)),f(g(b)),f(g(c)),d),
    inference('UR-RESOLVE',[status(thm)],[clause3,972]) ).

cnf(2231,plain,
    p(f(g(b)),f(g(c)),d,a),
    inference('HYPERRESOLVE',[status(thm)],[clause4,1027]) ).

cnf(2572,plain,
    ~ p(g(a),f(g(b)),f(g(c)),d),
    inference('UR-RESOLVE',[status(thm)],[clause4,2140]) ).

cnf(2583,plain,
    ~ p(f(g(b)),f(g(c)),d,g(a)),
    inference('UR-RESOLVE',[status(thm)],[clause1,2572]) ).

cnf(4045,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[clause3,2583]),2231]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SYN311-1 : TPTP v8.1.0. Released v1.2.0.
% 0.04/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n010.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jul 11 14:47:15 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47  * 
% 0.19/0.47  * 
% 0.19/0.48  #<PACKAGE "SNARK-USER">
% 0.19/0.48  * 
% 0.19/0.48  SNARK-TPTP-OPTIONS
% 0.19/0.48  * 
% 0.19/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48   (USE-FACTORING :POS)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48  * 
% 0.19/0.48  "."
% 0.19/0.48  * 
% 0.19/0.48  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T14:47:15
% 0.19/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2022-07-11T14:47:15
% 0.86/1.03  
% 0.86/1.03  
% 0.86/1.03  #||
% 0.86/1.03  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.86/1.03  % SZS output start Refutation
% See solution above
% 0.86/1.04  ||#
% 0.86/1.04  
% 0.86/1.04  ; Summary of computation:
% 0.86/1.04  ;     13061 formulas have been input or derived (from 1658 formulas).
% 0.86/1.04  ;      4045 (31%) were retained.  Of these,
% 0.86/1.04  ;         4045 (100%) are still being kept.
% 0.86/1.04  ; 
% 0.86/1.04  ; Run time in seconds excluding printing time:
% 0.86/1.04  ;     0.002   0%   Read assertion file          (1 call)
% 0.86/1.04  ;     0.000   0%   Assert                       (6 calls)
% 0.86/1.04  ;     0.219  40%   Process new row              (11,256 calls)
% 0.86/1.04  ;     0.146  27%   Resolution                   (3,314 calls)
% 0.86/1.04  ;     0.020   4%   Paramodulation               (1,657 calls)
% 0.86/1.04  ;     0.000   0%   Condensing                   (4 calls)
% 0.86/1.04  ;     0.000   0%   Forward subsumption          (4 calls)
% 0.86/1.04  ;     0.000   0%   Backward subsumption         (4 calls)
% 0.86/1.04  ;     0.001   0%   Clause clause subsumption    (6 calls)
% 0.86/1.04  ;     0.069  13%   Forward simplification       (11,256 calls)
% 0.86/1.04  ;     0.023   4%   Backward simplification      (4,045 calls)
% 0.86/1.04  ;     0.001   0%   Sortal reasoning             (32 calls)
% 0.86/1.04  ;     0.000   0%   Purity testing               (1 call)
% 0.86/1.04  ;     0.066  12%   Other
% 0.86/1.04  ;     0.547        Total
% 0.86/1.04  ;     0.562        Real time
% 0.86/1.04  ; 
% 0.86/1.04  ; Term-hash-array has 4,151 terms in all.
% 0.86/1.04  ; Feature-vector-row-index has 4 entries (4 at peak, 4 added, 0 deleted).
% 0.86/1.04  ; Feature-vector-row-index has 5 nodes (5 at peak, 5 added, 0 deleted).
% 0.86/1.04  ;  Retrieved 5 possibly forward subsuming rows in 4 calls.
% 0.86/1.04  ;  Retrieved 1 possibly backward subsumed row in 4 calls.
% 0.86/1.04  ; Path-index has 4,155 entries (4,155 at peak, 4,155 added, 0 deleted).
% 0.86/1.04  ; Path-index has 490 nodes (490 at peak, 490 added, 0 deleted).
% 0.86/1.04  ; Trie-index has 4,155 entries (4,155 at peak, 4,155 added, 0 deleted).
% 0.86/1.04  ; Trie-index has 10,147 nodes (10,147 at peak, 10,147 added, 0 deleted).
% 0.86/1.04  ; Retrieved 7,212 generalization terms in 11,251 calls.
% 0.86/1.04  ; Retrieved 4,040 instance terms in 4,040 calls.
% 0.86/1.04  ; Retrieved 34,446 unifiable terms in 23,016 calls.
% 0.86/1.04  ; 
% 0.86/1.04  ; The agenda of rows to process has 3 entries:
% 0.86/1.04  ;     1 with value 18              2 with value 19
% 0.86/1.04  ; The agenda of rows to give has 2387 entries:
% 0.86/1.04  ;    21 with value (4 18)        912 with value (4 20)         475 with value (4 21)
% 0.86/1.04  ;   979 with value (4 19)
% 0.86/1.04  Evaluation took:
% 0.86/1.04    0.563 seconds of real time
% 0.86/1.04    0.507674 seconds of user run time
% 0.86/1.04    0.055186 seconds of system run time
% 0.86/1.04    [Run times include 0.037 seconds GC run time.]
% 0.86/1.04    0 calls to %EVAL
% 0.86/1.04    0 page faults and
% 0.86/1.04    38,302,024 bytes consed.
% 0.86/1.04  :PROOF-FOUND
% 0.86/1.04  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T14:47:16
% 0.86/1.04  :PROOF-FOUND
% 0.86/1.04  * 
%------------------------------------------------------------------------------