TSTP Solution File: PUZ031+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : PUZ031+1 : TPTP v8.1.0. Released 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 : Mon Jul 18 18:26:46 EDT 2022

% Result   : Theorem 0.35s 0.52s
% Output   : Refutation 0.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   20
% Syntax   : Number of clauses     :   37 (  22 unt;   1 nHn;  37 RR)
%            Number of literals    :   67 (   0 equ;  37 neg)
%            Maximal clause size   :    8 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-1 aty)
%            Number of variables   :   26 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ wolf(X)
    | animal(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_1_1) ).

cnf(2,axiom,
    wolf('SKOLEMAAAV1'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_1_2) ).

cnf(3,axiom,
    ( ~ fox(X)
    | animal(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_2_1) ).

cnf(4,axiom,
    fox('SKOLEMAAAV2'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_2_2) ).

cnf(5,axiom,
    ( ~ bird(X)
    | animal(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_3_1) ).

cnf(6,axiom,
    bird('SKOLEMAAAV3'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_3_2) ).

cnf(9,axiom,
    ( ~ snail(X)
    | animal(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_5_1) ).

cnf(10,axiom,
    snail('SKOLEMAAAV5'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_5_2) ).

cnf(11,axiom,
    grain('SKOLEMAAAV6'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_6_1) ).

cnf(12,axiom,
    ( ~ grain(X)
    | plant(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_6_2) ).

cnf(13,axiom,
    ( ~ animal(X)
    | ~ plant(Y)
    | eats(X,Y)
    | ~ animal(Z)
    | ~ much_smaller(Z,X)
    | ~ plant(U)
    | ~ eats(Z,U)
    | eats(X,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_7) ).

cnf(14,axiom,
    ( ~ bird(X)
    | ~ snail(Y)
    | much_smaller(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_8) ).

cnf(16,axiom,
    ( ~ bird(X)
    | ~ fox(Y)
    | much_smaller(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_9) ).

cnf(17,axiom,
    ( ~ fox(X)
    | ~ wolf(Y)
    | much_smaller(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_10) ).

cnf(18,axiom,
    ( ~ wolf(X)
    | ~ fox(Y)
    | ~ eats(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_11) ).

cnf(19,axiom,
    ( ~ wolf(X)
    | ~ grain(Y)
    | ~ eats(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_11) ).

cnf(21,axiom,
    ( ~ bird(X)
    | ~ snail(Y)
    | ~ eats(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_13) ).

cnf(24,axiom,
    ( ~ snail(X)
    | plant('SKOLEMAAAV7'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_14) ).

cnf(25,axiom,
    ( ~ snail(X)
    | eats(X,'SKOLEMAAAV7'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_14) ).

cnf(26,negated_conjecture,
    ( ~ animal(X)
    | ~ animal(Y)
    | ~ grain(Z)
    | ~ eats(Y,Z)
    | ~ eats(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47) ).

cnf(27,plain,
    animal('SKOLEMAAAV1'),
    inference('HYPERRESOLVE',[status(thm)],[1,2]) ).

cnf(28,plain,
    animal('SKOLEMAAAV2'),
    inference('HYPERRESOLVE',[status(thm)],[3,4]) ).

cnf(29,plain,
    animal('SKOLEMAAAV3'),
    inference('HYPERRESOLVE',[status(thm)],[5,6]) ).

cnf(31,plain,
    animal('SKOLEMAAAV5'),
    inference('HYPERRESOLVE',[status(thm)],[9,10]) ).

cnf(32,plain,
    plant('SKOLEMAAAV6'),
    inference('HYPERRESOLVE',[status(thm)],[12,11]) ).

cnf(34,plain,
    plant('SKOLEMAAAV7'('SKOLEMAAAV5')),
    inference('HYPERRESOLVE',[status(thm)],[24,10]) ).

cnf(36,plain,
    eats('SKOLEMAAAV5','SKOLEMAAAV7'('SKOLEMAAAV5')),
    inference('HYPERRESOLVE',[status(thm)],[25,10]) ).

cnf(37,plain,
    much_smaller('SKOLEMAAAV5','SKOLEMAAAV3'),
    inference('HYPERRESOLVE',[status(thm)],[14,6,10]) ).

cnf(39,plain,
    much_smaller('SKOLEMAAAV3','SKOLEMAAAV2'),
    inference('HYPERRESOLVE',[status(thm)],[16,6,4]) ).

cnf(40,plain,
    much_smaller('SKOLEMAAAV2','SKOLEMAAAV1'),
    inference('HYPERRESOLVE',[status(thm)],[17,4,2]) ).

cnf(41,plain,
    ~ eats('SKOLEMAAAV1','SKOLEMAAAV2'),
    inference('UR-RESOLVE',[status(thm)],[18,2,4]) ).

cnf(42,plain,
    ~ eats('SKOLEMAAAV1','SKOLEMAAAV6'),
    inference('UR-RESOLVE',[status(thm)],[19,2,11]) ).

cnf(44,plain,
    ~ eats('SKOLEMAAAV3','SKOLEMAAAV5'),
    inference('UR-RESOLVE',[status(thm)],[21,6,10]) ).

cnf(45,plain,
    ~ eats('SKOLEMAAAV2','SKOLEMAAAV6'),
    inference('UR-RESOLVE',[status(thm)],[13,42,27,32,28,40,32,41]) ).

cnf(53,plain,
    eats('SKOLEMAAAV3','SKOLEMAAAV6'),
    inference('UR-RESOLVE',[status(thm)],[13,36,29,32,31,37,34,44]) ).

cnf(59,plain,
    eats('SKOLEMAAAV2','SKOLEMAAAV3'),
    inference('UR-RESOLVE',[status(thm)],[13,53,28,32,45,29,39,32]) ).

cnf(63,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[26,53,28,29,11]),59]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : PUZ031+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n021.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 : Sat May 28 23:06:42 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47  * 
% 0.19/0.47  * 
% 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 2022-05-28T23:06:42
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-05-28T23:06:42
% 0.35/0.52  
% 0.35/0.52  
% 0.35/0.52  #||
% 0.35/0.52  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/0.52  % SZS output start Refutation
% See solution above
% 0.35/0.52  ||#
% 0.35/0.52  
% 0.35/0.52  ; Summary of computation:
% 0.35/0.52  ;        88 formulas have been input or derived (from 51 formulas).
% 0.35/0.52  ;        63 (72%) were retained.  Of these,
% 0.35/0.52  ;           63 (100%) are still being kept.
% 0.35/0.52  ; 
% 0.35/0.52  ; Run time in seconds excluding printing time:
% 0.35/0.52  ;     0.004   9%   Read assertion file          (1 call)
% 0.35/0.52  ;     0.000   0%   Assert                       (21 calls)
% 0.35/0.52  ;     0.004   9%   Process new row              (69 calls)
% 0.35/0.52  ;     0.009  20%   Resolution                   (100 calls)
% 0.35/0.52  ;     0.000   0%   Paramodulation               (50 calls)
% 0.35/0.52  ;     0.000   0%   Condensing                   (20 calls)
% 0.35/0.52  ;     0.000   0%   Forward subsumption          (20 calls)
% 0.35/0.52  ;     0.000   0%   Backward subsumption         (20 calls)
% 0.35/0.52  ;     0.000   0%   Forward simplification       (69 calls)
% 0.35/0.52  ;     0.000   0%   Backward simplification      (63 calls)
% 0.35/0.52  ;     0.002   5%   Sortal reasoning             (32 calls)
% 0.35/0.52  ;     0.000   0%   Purity testing               (1 call)
% 0.35/0.52  ;     0.025  57%   Other
% 0.35/0.52  ;     0.044        Total
% 0.35/0.52  ;     0.048        Real time
% 0.35/0.52  ; 
% 0.35/0.52  ; Term-hash-array has 72 terms in all.
% 0.35/0.52  ; Feature-vector-row-index has 20 entries (20 at peak, 20 added, 0 deleted).
% 0.35/0.52  ; Feature-vector-row-index has 41 nodes (41 at peak, 41 added, 0 deleted).
% 0.35/0.52  ;  Retrieved 0 possibly forward subsuming rows in 20 calls.
% 0.35/0.52  ;  Retrieved 0 possibly backward subsumed rows in 20 calls.
% 0.35/0.52  ; Path-index has 78 entries (78 at peak, 78 added, 0 deleted).
% 0.35/0.52  ; Path-index has 82 nodes (82 at peak, 82 added, 0 deleted).
% 0.35/0.52  ; Trie-index has 78 entries (78 at peak, 78 added, 0 deleted).
% 0.35/0.52  ; Trie-index has 93 nodes (93 at peak, 93 added, 0 deleted).
% 0.35/0.52  ; Retrieved 10 generalization terms in 67 calls.
% 0.35/0.52  ; Retrieved 42 instance terms in 42 calls.
% 0.35/0.52  ; Retrieved 6,382 unifiable terms in 2,419 calls.
% 0.35/0.52  ; 
% 0.35/0.52  ; The agenda of rows to process has 4 entries:
% 0.35/0.52  ;     1 with value 7               1 with value 11               2 with value 13
% 0.35/0.52  ; The agenda of rows to give has 12 entries:
% 0.35/0.52  ;     3 with value (4 6)           5 with value (4 7)            4 with value (4 8)
% 0.35/0.52  Evaluation took:
% 0.35/0.52    0.049 seconds of real time
% 0.35/0.52    0.040523 seconds of user run time
% 0.35/0.52    0.0082 seconds of system run time
% 0.35/0.52    0 calls to %EVAL
% 0.35/0.52    0 page faults and
% 0.35/0.52    4,221,184 bytes consed.
% 0.35/0.52  :PROOF-FOUND
% 0.35/0.52  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-28T23:06:42
% 0.35/0.52  :PROOF-FOUND
% 0.35/0.52  * 
%------------------------------------------------------------------------------