TSTP Solution File: ANA044-2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : ANA044-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n025.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 14 19:27:01 EDT 2022

% Result   : Unsatisfiable 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   12 (   8 unt;   0 nHn;   9 RR)
%            Number of literals    :   19 (   2 equ;   8 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-3 aty)
%            Number of variables   :   13 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
    c_lessequals(c_0,v_l(X,Y),t_b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    c_lessequals(c_0,v_h(X),t_b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(cls_conjecture_3,negated_conjecture,
    c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b) != c_HOL_Oabs(c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b),t_b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(tfree_tcs,negated_conjecture,
    class_Ring__and__Field_Oordered__idom(t_b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).

cnf(cls_OrderedGroup_Oabs__of__nonneg_0,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(X)
    | ~ c_lessequals(c_0,Y,X)
    | c_HOL_Oabs(Y,X) = Y ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__of__nonneg_0) ).

cnf(cls_Ring__and__Field_Omult__nonneg__nonneg_0,axiom,
    ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X)
    | ~ c_lessequals(c_0,Y,X)
    | ~ c_lessequals(c_0,Z,X)
    | c_lessequals(c_0,c_times(Z,Y,X),X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Omult__nonneg__nonneg_0) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_40,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X)
    | class_Ring__and__Field_Opordered__cancel__semiring(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_40) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_50,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X)
    | class_OrderedGroup_Olordered__ab__group__abs(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).

cnf(9,plain,
    class_Ring__and__Field_Opordered__cancel__semiring(t_b),
    inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_40,tfree_tcs]) ).

cnf(10,plain,
    class_OrderedGroup_Olordered__ab__group__abs(t_b),
    inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_50,tfree_tcs]) ).

cnf(13,plain,
    c_lessequals(c_0,c_times(v_l(X,Y),v_h(Z),t_b),t_b),
    inference('HYPERRESOLVE',[status(thm)],[cls_Ring__and__Field_Omult__nonneg__nonneg_0,9,cls_conjecture_1,cls_conjecture_0]) ).

cnf(17,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_OrderedGroup_Oabs__of__nonneg_0,10,cls_conjecture_3]),13]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : ANA044-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.14  % Command  : run-snark %s %d
% 0.14/0.35  % Computer : n025.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Fri Jul  8 05:55:59 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.20/0.47  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48  * 
% 0.20/0.48  * 
% 0.20/0.48  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 0.20/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48   (USE-FACTORING :POS)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48  * 
% 0.20/0.48  "."
% 0.20/0.48  * 
% 0.20/0.49  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-08T05:55:59
% 0.20/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-07-08T05:55:59
% 0.20/0.51  
% 0.20/0.51  
% 0.20/0.51  #||
% 0.20/0.51  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.51  % SZS output start Refutation
% See solution above
% 0.20/0.51  ||#
% 0.20/0.51  
% 0.20/0.51  ; Summary of computation:
% 0.20/0.51  ;        25 formulas have been input or derived (from 11 formulas).
% 0.20/0.51  ;        17 (68%) were retained.  Of these,
% 0.20/0.51  ;           17 (100%) are still being kept.
% 0.20/0.51  ; 
% 0.20/0.51  ; Run time in seconds excluding printing time:
% 0.20/0.51  ;     0.002   7%   Read assertion file          (1 call)
% 0.20/0.51  ;     0.000   0%   Assert                       (8 calls)
% 0.20/0.51  ;     0.002   7%   Process new row              (19 calls)
% 0.20/0.51  ;     0.000   0%   Resolution                   (20 calls)
% 0.20/0.51  ;     0.001   4%   Paramodulation               (10 calls)
% 0.20/0.51  ;     0.000   0%   Condensing                   (4 calls)
% 0.20/0.51  ;     0.000   0%   Forward subsumption          (4 calls)
% 0.20/0.51  ;     0.000   0%   Backward subsumption         (4 calls)
% 0.20/0.51  ;     0.000   0%   Forward simplification       (19 calls)
% 0.20/0.51  ;     0.000   0%   Backward simplification      (17 calls)
% 0.20/0.51  ;     0.000   0%   Ordering                     (3 calls)
% 0.20/0.51  ;     0.001   4%   Sortal reasoning             (32 calls)
% 0.20/0.51  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.51  ;     0.021  78%   Other
% 0.20/0.51  ;     0.027        Total
% 0.20/0.51  ;     0.030        Real time
% 0.20/0.51  ; 
% 0.20/0.51  ; Term-hash-array has 38 terms in all.
% 0.20/0.51  ; Feature-vector-row-index has 4 entries (4 at peak, 4 added, 0 deleted).
% 0.20/0.51  ; Feature-vector-row-index has 16 nodes (16 at peak, 16 added, 0 deleted).
% 0.20/0.51  ;  Retrieved 0 possibly forward subsuming rows in 4 calls.
% 0.20/0.51  ;  Retrieved 0 possibly backward subsumed rows in 4 calls.
% 0.20/0.51  ; Path-index has 42 entries (42 at peak, 42 added, 0 deleted).
% 0.20/0.51  ; Path-index has 182 nodes (182 at peak, 182 added, 0 deleted).
% 0.20/0.51  ; Trie-index has 42 entries (42 at peak, 42 added, 0 deleted).
% 0.20/0.51  ; Trie-index has 153 nodes (153 at peak, 153 added, 0 deleted).
% 0.20/0.51  ; Retrieved 3 generalization terms in 18 calls.
% 0.20/0.51  ; Retrieved 12 instance terms in 12 calls.
% 0.20/0.51  ; Retrieved 118 unifiable terms in 82 calls.
% 0.20/0.51  ; 
% 0.20/0.51  ; The agenda of rows to give has 6 entries:
% 0.20/0.51  ;     1 with value (4 12)          2 with value (4 15)           1 with value (4 16)
% 0.20/0.51  ;     2 with value (4 14)
% 0.20/0.51  Evaluation took:
% 0.20/0.51    0.03 seconds of real time
% 0.20/0.51    0.024614 seconds of user run time
% 0.20/0.51    0.004901 seconds of system run time
% 0.20/0.51    0 calls to %EVAL
% 0.20/0.51    0 page faults and
% 0.20/0.51    2,046,976 bytes consed.
% 0.20/0.51  :PROOF-FOUND
% 0.20/0.52  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-08T05:55:59
% 0.20/0.52  :PROOF-FOUND
% 0.20/0.52  * 
%------------------------------------------------------------------------------