TSTP Solution File: HWV023-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : HWV023-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n032.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 : Sat Jul 16 19:10:43 EDT 2022

% Result   : Unsatisfiable 0.26s 0.70s
% Output   : Refutation 0.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   19 (  14 unt;   3 nHn;  15 RR)
%            Number of literals    :   28 (  14 equ;  13 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   13 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_1,axiom,
    plus(X,n1) != n0,
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_1) ).

cnf(axiom_5,axiom,
    ( minus(X,Y) = Z
    | plus(Z,Y) != X
    | def_10(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_5) ).

cnf(axiom_7,axiom,
    ( ~ def_10(X,Y)
    | Y != X ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_7) ).

cnf(axiom_15,axiom,
    ( X = n0
    | gt(X,n0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_15) ).

cnf(axiom_19,axiom,
    plus(n0,X) = X,
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_19) ).

cnf(axiom_21,axiom,
    level(X) = int_level(X),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_21) ).

cnf(axiom_24,axiom,
    ( int_level(X) != n0
    | p_Empty(X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_24) ).

cnf(axiom_71,axiom,
    ( p_Reset(X)
    | p_Wr(X)
    | ~ p_Rd(X)
    | ~ gt(int_level(X),n0)
    | int_level(plus(X,n1)) = minus(int_level(X),n1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_71) ).

cnf(quest_1,negated_conjecture,
    level(t_139) = n1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).

cnf(90,plain,
    int_level(t_139) = n1,
    inference('REWRITE',[status(thm)],[quest_1,axiom_21,theory(equality)]) ).

cnf(quest_2,negated_conjecture,
    ~ p_Wr(t_139),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_2) ).

cnf(quest_3,negated_conjecture,
    p_Rd(t_139),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_3) ).

cnf(quest_4,negated_conjecture,
    ~ p_Reset(t_139),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_4) ).

cnf(quest_5,negated_conjecture,
    ~ p_Empty(plus(t_139,n1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_5) ).

cnf(96,plain,
    n1 != n0,
    inference('PARAMODULATE',[status(thm)],[axiom_1,axiom_19,theory(equality)]) ).

cnf(98,plain,
    ~ def_10(X,X),
    inference('UR-RESOLVE',[status(thm)],[axiom_7,theory(equality)]) ).

cnf(100,plain,
    int_level(plus(t_139,n1)) != n0,
    inference('UR-RESOLVE',[status(thm)],[axiom_24,quest_5]) ).

cnf(139,plain,
    minus(X,X) = n0,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[axiom_5,axiom_19]),98]) ).

cnf(178,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[axiom_71,quest_3,axiom_15]),100,139,quest_2,quest_4,96,90,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.31  % Problem  : HWV023-1 : TPTP v8.1.0. Released v2.5.0.
% 0.10/0.32  % Command  : run-snark %s %d
% 0.11/0.53  % Computer : n032.cluster.edu
% 0.11/0.53  % Model    : x86_64 x86_64
% 0.11/0.53  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.53  % Memory   : 8042.1875MB
% 0.11/0.53  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.53  % CPULimit : 300
% 0.11/0.53  % WCLimit  : 600
% 0.11/0.53  % DateTime : Thu Jun 16 23:26:30 EDT 2022
% 0.11/0.53  % CPUTime  : 
% 0.17/0.62  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.26/0.63  * 
% 0.26/0.63  * 
% 0.26/0.63  #<PACKAGE "SNARK-USER">
% 0.26/0.63  * 
% 0.26/0.63  SNARK-TPTP-OPTIONS
% 0.26/0.63  * 
% 0.26/0.63  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.26/0.63   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.26/0.63   (USE-FACTORING :POS)
% 0.26/0.63   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.26/0.63   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.26/0.63   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.26/0.63   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.26/0.63   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.26/0.63   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.26/0.63   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.26/0.63   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.26/0.63   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.26/0.63   (DECLARE-TPTP-SYMBOLS2))
% 0.26/0.63  * 
% 0.26/0.63  "."
% 0.26/0.63  * 
% 0.26/0.63  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T23:26:30
% 0.26/0.63  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-06-16T23:26:30
% 0.26/0.65  
% 0.26/0.70  ; Recognized left identity assertion (= (|plus| |n0| ?X) ?X).
% 0.26/0.70  
% 0.26/0.70  #||
% 0.26/0.70  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.26/0.70  % SZS output start Refutation
% See solution above
% 0.26/0.70  ||#
% 0.26/0.70  
% 0.26/0.70  ; Summary of computation:
% 0.26/0.70  ;       271 formulas have been input or derived (from 75 formulas).
% 0.26/0.70  ;       178 (66%) were retained.  Of these,
% 0.26/0.70  ;            9 ( 5%) were simplified or subsumed later,
% 0.26/0.70  ;          169 (95%) are still being kept.
% 0.26/0.70  ; 
% 0.26/0.70  ; Run time in seconds excluding printing time:
% 0.26/0.70  ;     0.013  21%   Read assertion file          (1 call)
% 0.26/0.70  ;     0.002   3%   Assert                       (95 calls)
% 0.26/0.70  ;     0.008  13%   Process new row              (255 calls)
% 0.26/0.70  ;     0.002   3%   Resolution                   (148 calls)
% 0.26/0.70  ;     0.002   3%   Paramodulation               (74 calls)
% 0.26/0.70  ;     0.000   0%   Factoring                    (6 calls)
% 0.26/0.70  ;     0.003   5%   Condensing                   (174 calls)
% 0.26/0.70  ;     0.003   5%   Forward subsumption          (174 calls)
% 0.26/0.70  ;     0.003   5%   Backward subsumption         (151 calls)
% 0.26/0.70  ;     0.002   3%   Clause clause subsumption    (71 calls)
% 0.26/0.70  ;     0.006  10%   Forward simplification       (253 calls)
% 0.26/0.70  ;     0.001   2%   Backward simplification      (177 calls)
% 0.26/0.70  ;     0.000   0%   Ordering                     (396 calls)
% 0.26/0.70  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.26/0.70  ;     0.000   0%   Purity testing               (1 call)
% 0.26/0.70  ;     0.016  26%   Other
% 0.26/0.70  ;     0.061        Total
% 0.26/0.70  ;     0.062        Real time
% 0.26/0.70  ; 
% 0.26/0.70  ; Term-hash-array has 177 terms in all.
% 0.26/0.70  ; Feature-vector-row-index has 144 entries (144 at peak, 151 added, 7 deleted).
% 0.26/0.70  ; Feature-vector-row-index has 926 nodes (926 at peak, 977 added, 51 deleted).
% 0.26/0.70  ;  Retrieved 115 possibly forward subsuming rows in 174 calls.
% 0.26/0.70  ;  Retrieved 21 possibly backward subsumed rows in 151 calls.
% 0.26/0.70  ; Path-index has 179 entries (179 at peak, 181 added, 2 deleted).
% 0.26/0.70  ; Path-index has 382 nodes (382 at peak, 386 added, 4 deleted).
% 0.26/0.70  ; Trie-index has 179 entries (179 at peak, 181 added, 2 deleted).
% 0.26/0.70  ; Trie-index has 412 nodes (412 at peak, 421 added, 9 deleted).
% 0.26/0.70  ; Retrieved 296 generalization terms in 871 calls.
% 0.26/0.70  ; Retrieved 43 instance terms in 25 calls.
% 0.26/0.70  ; Retrieved 2,181 unifiable terms in 585 calls.
% 0.26/0.70  ; 
% 0.26/0.70  ; The agenda of rows to process has 2 entries:
% 0.26/0.70  ;     1 with value 25              1 with value 31
% 0.26/0.70  ; The agenda of input rows to give has 19 entries:
% 0.26/0.70  ;     6 with value 28              3 with value 32               3 with value 35
% 0.26/0.70  ;     5 with value 29              2 with value 34
% 0.26/0.70  ; The agenda of rows to give has 79 entries:
% 0.26/0.70  ;     4 with value (4 5)           1 with value (4 14)           2 with value (4 24)
% 0.26/0.70  ;     3 with value (4 7)           3 with value (4 15)           2 with value (4 27)
% 0.26/0.70  ;     5 with value (4 8)           3 with value (4 16)           2 with value (4 28)
% 0.26/0.70  ;     1 with value (4 9)           4 with value (4 17)           2 with value (4 30)
% 0.26/0.70  ;     2 with value (4 10)          7 with value (4 18)           3 with value (4 31)
% 0.26/0.70  ;     3 with value (4 11)          4 with value (4 19)           2 with value (4 35)
% 0.26/0.70  ;     5 with value (4 12)          4 with value (4 21)           2 with value (4 38)
% 0.26/0.70  ;     7 with value (4 13)          6 with value (4 23)           2 with value (4 41)
% 0.26/0.70  Evaluation took:
% 0.26/0.70    0.063 seconds of real time
% 0.26/0.70    0.054005 seconds of user run time
% 0.26/0.70    0.009009 seconds of system run time
% 0.26/0.70    0 calls to %EVAL
% 0.26/0.70    0 page faults and
% 0.26/0.70    5,494,696 bytes consed.
% 0.26/0.70  :PROOF-FOUND
% 0.26/0.70  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T23:26:31
% 0.26/0.70  :PROOF-FOUND
% 0.26/0.70  * 
%------------------------------------------------------------------------------