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SNARK---20120808r022.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV617-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n022.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 : Wed Jul 20 21:35:28 EDT 2022

% Result   : Unsatisfiable 0.61s 0.80s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   14 (  11 unt;   0 nHn;   7 RR)
%            Number of literals    :   17 (  10 equ;   6 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   3 con; 0-3 aty)
%            Number of variables   :   10 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_power__one_0,axiom,
    ( ~ class_OrderedGroup_Omonoid__mult(X)
    | c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X),Y,X) = c_HOL_Oone__class_Oone(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_power__one_0) ).

cnf(cls_root__unity_0,axiom,
    c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(X),X,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_root__unity_0) ).

cnf(cls_eq__iff__diff__eq__0_0,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X)
    | c_HOL_Ominus__class_Ominus(Y,Y,X) = c_HOL_Ozero__class_Ozero(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__iff__diff__eq__0_0) ).

cnf(cls_divide__zero__left_0,axiom,
    ( ~ class_Ring__and__Field_Ofield(X)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X),Y,X) = c_HOL_Ozero__class_Ozero(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__zero__left_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(v_n),v_n,tc_Complex_Ocomplex),v_k,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(v_n),v_k,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(373,plain,
    c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),v_k,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(v_n),v_k,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
    inference('REWRITE',[status(thm)],[cls_conjecture_0,cls_root__unity_0,theory(equality)]) ).

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

cnf(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult,axiom,
    class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult) ).

cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ofield,axiom,
    class_Ring__and__Field_Ofield(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ofield) ).

cnf(498,plain,
    c_HOL_Ominus__class_Ominus(X,X,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
    inference('HYPERRESOLVE',[status(thm)],[cls_eq__iff__diff__eq__0_0,clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add]) ).

cnf(542,plain,
    c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
    inference('HYPERRESOLVE',[status(thm)],[cls_power__one_0,clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult]) ).

cnf(543,plain,
    c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(v_n),v_k,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
    inference('REWRITE',[status(thm)],[373,498,542,theory(equality)]) ).

cnf(545,plain,
    c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
    inference('HYPERRESOLVE',[status(thm)],[cls_divide__zero__left_0,clsarity_Complex__Ocomplex__Ring__and__Field_Ofield]) ).

cnf(546,plain,
    $false,
    inference('REWRITE',[status(thm)],[543,545,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : SWV617-1 : TPTP v8.1.0. Released v4.1.0.
% 0.08/0.15  % Command  : run-snark %s %d
% 0.15/0.36  % Computer : n022.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 600
% 0.15/0.36  % DateTime : Thu Jun 16 05:27:47 EDT 2022
% 0.15/0.37  % CPUTime  : 
% 0.21/0.50  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.51  * 
% 0.21/0.51  * 
% 0.21/0.51  #<PACKAGE "SNARK-USER">
% 0.21/0.51  * 
% 0.21/0.51  SNARK-TPTP-OPTIONS
% 0.21/0.51  * 
% 0.21/0.51  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.51   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.51   (USE-FACTORING :POS)
% 0.21/0.51   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.51   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.51   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.51   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.51   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.51   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.51   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.51   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.51   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.51   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.51  * 
% 0.21/0.51  "."
% 0.21/0.51  * 
% 0.21/0.51  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T05:27:48
% 0.21/0.51  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-16T05:27:48
% 0.47/0.71  WARNING:
% 0.47/0.71     |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.71  WARNING:
% 0.47/0.71     |class_Lattices_Oboolean__algebra| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.71  WARNING:
% 0.47/0.71     |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.61/0.80  
% 0.61/0.80  
% 0.61/0.80  #||
% 0.61/0.80  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.61/0.80  % SZS output start Refutation
% See solution above
% 0.61/0.80  ||#
% 0.61/0.80  
% 0.61/0.80  ; Summary of computation:
% 0.61/0.80  ;      1105 formulas have been input or derived (from 165 formulas).
% 0.61/0.80  ;       546 (49%) were retained.  Of these,
% 0.61/0.80  ;           12 ( 2%) were simplified or subsumed later,
% 0.61/0.80  ;          534 (98%) are still being kept.
% 0.61/0.80  ; 
% 0.61/0.80  ; Run time in seconds excluding printing time:
% 0.61/0.80  ;     0.164  58%   Read assertion file          (1 call)
% 0.61/0.80  ;     0.017   6%   Assert                       (766 calls)
% 0.61/0.80  ;     0.035  12%   Process new row              (1,018 calls)
% 0.61/0.80  ;     0.009   3%   Resolution                   (328 calls)
% 0.61/0.80  ;     0.000   0%   Paramodulation               (164 calls)
% 0.61/0.80  ;     0.000   0%   Factoring                    (2 calls)
% 0.61/0.80  ;     0.005   2%   Condensing                   (458 calls)
% 0.61/0.80  ;     0.007   2%   Forward subsumption          (458 calls)
% 0.61/0.80  ;     0.005   2%   Backward subsumption         (368 calls)
% 0.61/0.80  ;     0.002   1%   Clause clause subsumption    (480 calls)
% 0.61/0.80  ;     0.011   4%   Forward simplification       (802 calls)
% 0.61/0.80  ;     0.001   0%   Backward simplification      (545 calls)
% 0.61/0.80  ;     0.000   0%   Ordering                     (189 calls)
% 0.61/0.80  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.61/0.80  ;     0.003   1%   Purity testing               (1 call)
% 0.61/0.80  ;     0.023   8%   Other
% 0.61/0.80  ;     0.282        Total
% 0.61/0.80  ;     0.284        Real time
% 0.61/0.80  ; 
% 0.61/0.80  ; Term-hash-array has 765 terms in all.
% 0.61/0.80  ; Feature-vector-row-index has 360 entries (360 at peak, 368 added, 8 deleted).
% 0.61/0.80  ; Feature-vector-row-index has 1,110 nodes (1,110 at peak, 1,145 added, 35 deleted).
% 0.61/0.80  ;  Retrieved 375 possibly forward subsuming rows in 458 calls.
% 0.61/0.80  ;  Retrieved 253 possibly backward subsumed rows in 368 calls.
% 0.61/0.80  ; Path-index has 742 entries (747 at peak, 776 added, 34 deleted).
% 0.61/0.80  ; Path-index has 1,914 nodes (1,938 at peak, 1,988 added, 74 deleted).
% 0.61/0.80  ; Trie-index has 742 entries (747 at peak, 776 added, 34 deleted).
% 0.61/0.80  ; Trie-index has 2,448 nodes (2,491 at peak, 2,656 added, 208 deleted).
% 0.61/0.80  ; Retrieved 238 generalization terms in 626 calls.
% 0.61/0.80  ; Retrieved 198 instance terms in 176 calls.
% 0.61/0.80  ; Retrieved 6,896 unifiable terms in 902 calls.
% 0.61/0.80  ; 
% 0.61/0.80  ; The agenda of input rows to give has 291 entries:
% 0.61/0.80  ;     1 with value 14              3 with value 23               5 with value 34
% 0.61/0.80  ;     8 with value 15             18 with value 24               4 with value 35
% 0.61/0.80  ;    19 with value 16              9 with value 25               2 with value 36
% 0.61/0.80  ;    19 with value 17              5 with value 26               2 with value 37
% 0.61/0.80  ;    36 with value 18             62 with value 27               7 with value 39
% 0.61/0.80  ;    35 with value 19              2 with value 28               1 with value 42
% 0.61/0.80  ;    13 with value 20              8 with value 29               1 with value 45
% 0.61/0.80  ;    12 with value 21              4 with value 30               1 with value 46
% 0.61/0.80  ;     9 with value 22              4 with value 33               1 with value 52
% 0.61/0.80  ; The agenda of rows to give has 78 entries:
% 0.61/0.80  ;     9 with value (4 6)           8 with value (4 9)           24 with value (4 11)
% 0.61/0.80  ;    11 with value (4 8)          10 with value (4 10)          16 with value (4 12)
% 0.61/0.80  Evaluation took:
% 0.61/0.80    0.285 seconds of real time
% 0.61/0.80    0.264362 seconds of user run time
% 0.61/0.80    0.020129 seconds of system run time
% 0.61/0.80    [Run times include 0.007 seconds GC run time.]
% 0.61/0.80    0 calls to %EVAL
% 0.61/0.80    0 page faults and
% 0.61/0.80    17,868,808 bytes consed.
% 0.61/0.80  :PROOF-FOUND
% 0.61/0.80  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T05:27:48
% 0.61/0.80  :PROOF-FOUND
% 0.61/0.80  * 
%------------------------------------------------------------------------------