TSTP Solution File: ALG379-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : ALG379-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n018.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 18:00:41 EDT 2022

% Result   : Unsatisfiable 0.92s 1.09s
% Output   : Refutation 0.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    6
% Syntax   : Number of clauses     :    8 (   6 unt;   0 nHn;   8 RR)
%            Number of literals    :   12 (   7 equ;   6 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   5 con; 0-3 aty)
%            Number of variables   :    5 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_eq__iff__diff__eq__0_1,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X)
    | c_HOL_Ominus__class_Ominus(Y,Z,X) != c_HOL_Ozero__class_Ozero(X)
    | Y = Z ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__iff__diff__eq__0_1) ).

cnf(cls_abs__eq__0_0,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X)
    | c_HOL_Oabs__class_Oabs(Y,X) != c_HOL_Ozero__class_Ozero(X)
    | Y = c_HOL_Ozero__class_Ozero(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__eq__0_0) ).

cnf(cls_CHAINED_0,axiom,
    c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add__abs,axiom,
    class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add__abs) ).

cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__group__add,axiom,
    class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Oab__group__add) ).

cnf(1388,plain,
    c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference('UR-RESOLVE',[status(thm)],[cls_eq__iff__diff__eq__0_1,clsarity_RealDef__Oreal__OrderedGroup_Oab__group__add,cls_conjecture_0]) ).

cnf(1906,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_abs__eq__0_0,cls_CHAINED_0,clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add__abs]),1388]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : ALG379-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n018.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Wed Jun  8 10:36:37 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45  * 
% 0.18/0.45  * 
% 0.18/0.46  #<PACKAGE "SNARK-USER">
% 0.18/0.46  * 
% 0.18/0.46  SNARK-TPTP-OPTIONS
% 0.18/0.46  * 
% 0.18/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46   (USE-FACTORING :POS)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46  * 
% 0.18/0.46  "."
% 0.18/0.46  * 
% 0.18/0.46  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-08T10:36:37
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-08T10:36:37
% 0.47/0.68  WARNING:
% 0.47/0.68     |class_Lattices_Oboolean__algebra| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.68  WARNING:
% 0.47/0.68     |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.92/1.09  
% 0.92/1.09  
% 0.92/1.09  #||
% 0.92/1.09  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.92/1.09  % SZS output start Refutation
% See solution above
% 0.92/1.09  ||#
% 0.92/1.09  
% 0.92/1.09  ; Summary of computation:
% 0.92/1.09  ;      4340 formulas have been input or derived (from 614 formulas).
% 0.92/1.09  ;      1906 (44%) were retained.  Of these,
% 0.92/1.09  ;          145 ( 8%) were simplified or subsumed later,
% 0.92/1.09  ;         1761 (92%) are still being kept.
% 0.92/1.09  ; 
% 0.92/1.09  ; Run time in seconds excluding printing time:
% 0.92/1.09  ;     0.183  29%   Read assertion file          (1 call)
% 0.92/1.09  ;     0.021   3%   Assert                       (1,097 calls)
% 0.92/1.09  ;     0.116  19%   Process new row              (3,826 calls)
% 0.92/1.09  ;     0.101  16%   Resolution                   (1,226 calls)
% 0.92/1.09  ;     0.006   1%   Paramodulation               (613 calls)
% 0.92/1.09  ;     0.000   0%   Factoring                    (2 calls)
% 0.92/1.09  ;     0.015   2%   Condensing                   (1,474 calls)
% 0.92/1.09  ;     0.017   3%   Forward subsumption          (1,474 calls)
% 0.92/1.09  ;     0.018   3%   Backward subsumption         (1,038 calls)
% 0.92/1.09  ;     0.010   2%   Clause clause subsumption    (1,680 calls)
% 0.92/1.09  ;     0.071  11%   Forward simplification       (3,822 calls)
% 0.92/1.09  ;     0.014   2%   Backward simplification      (1,906 calls)
% 0.92/1.09  ;     0.009   1%   Ordering                     (2,419 calls)
% 0.92/1.09  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.92/1.09  ;     0.008   1%   Purity testing               (1 call)
% 0.92/1.09  ;     0.037   6%   Other
% 0.92/1.09  ;     0.626        Total
% 0.92/1.09  ;     0.627        Real time
% 0.92/1.09  ; 
% 0.92/1.09  ; Term-hash-array has 3,070 terms in all.
% 0.92/1.09  ; Feature-vector-row-index has 1,005 entries (1,005 at peak, 1,038 added, 33 deleted).
% 0.92/1.09  ; Feature-vector-row-index has 3,326 nodes (3,326 at peak, 3,503 added, 177 deleted).
% 0.92/1.09  ;  Retrieved 1,842 possibly forward subsuming rows in 1,474 calls.
% 0.92/1.09  ;  Retrieved 1,046 possibly backward subsumed rows in 1,038 calls.
% 0.92/1.09  ; Path-index has 2,801 entries (2,801 at peak, 3,132 added, 331 deleted).
% 0.92/1.09  ; Path-index has 7,604 nodes (7,604 at peak, 8,189 added, 585 deleted).
% 0.92/1.09  ; Trie-index has 2,801 entries (2,801 at peak, 3,132 added, 331 deleted).
% 0.92/1.09  ; Trie-index has 10,870 nodes (10,870 at peak, 12,785 added, 1,915 deleted).
% 0.92/1.09  ; Retrieved 6,060 generalization terms in 12,698 calls.
% 0.92/1.09  ; Retrieved 1,231 instance terms in 906 calls.
% 0.92/1.09  ; Retrieved 118,903 unifiable terms in 4,679 calls.
% 0.92/1.09  ; 
% 0.92/1.09  ; The agenda of rows to process has 14 entries:
% 0.92/1.09  ;     1 with value 22              1 with value 28               3 with value 30
% 0.92/1.09  ;     2 with value 26              5 with value 29               2 with value 32
% 0.92/1.09  ; The agenda of input rows to give has 372 entries:
% 0.92/1.09  ;     8 with value 21             27 with value 30              18 with value 39
% 0.92/1.09  ;    32 with value 22              6 with value 31               9 with value 40
% 0.92/1.09  ;     8 with value 23              3 with value 32               3 with value 42
% 0.92/1.09  ;    46 with value 24              4 with value 33               3 with value 43
% 0.92/1.09  ;    42 with value 25              3 with value 34               1 with value 44
% 0.92/1.09  ;    11 with value 26              5 with value 35               1 with value 45
% 0.92/1.09  ;    85 with value 27             10 with value 36               2 with value 46
% 0.92/1.09  ;     9 with value 28              8 with value 37               1 with value 47
% 0.92/1.09  ;     8 with value 29             18 with value 38               1 with value 52
% 0.92/1.09  ; The agenda of rows to give has 782 entries:
% 0.92/1.09  ;    99 with value (4 6)          49 with value (4 15)          17 with value (4 23)
% 0.92/1.09  ;    10 with value (4 8)          49 with value (4 16)          15 with value (4 24)
% 0.92/1.09  ;    16 with value (4 9)          52 with value (4 17)           3 with value (4 25)
% 0.92/1.09  ;    21 with value (4 10)         45 with value (4 18)          11 with value (4 26)
% 0.92/1.09  ;    56 with value (4 11)         60 with value (4 19)           6 with value (4 27)
% 0.92/1.09  ;    49 with value (4 12)         79 with value (4 20)           3 with value (4 28)
% 0.92/1.09  ;    60 with value (4 13)         15 with value (4 21)           1 with value (4 30)
% 0.92/1.09  ;    46 with value (4 14)         19 with value (4 22)           1 with value (4 33)
% 0.92/1.09  Evaluation took:
% 0.92/1.09    0.628 seconds of real time
% 0.92/1.09    0.585716 seconds of user run time
% 0.92/1.09    0.041849 seconds of system run time
% 0.92/1.09    [Run times include 0.03 seconds GC run time.]
% 0.92/1.09    0 calls to %EVAL
% 0.92/1.09    0 page faults and
% 0.92/1.09    43,342,448 bytes consed.
% 0.92/1.09  :PROOF-FOUND
% 0.92/1.09  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-08T10:36:37
% 0.92/1.09  :PROOF-FOUND
% 0.92/1.09  * 
%------------------------------------------------------------------------------