TSTP Solution File: SWV629-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV629-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n015.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 21:35:31 EDT 2022

% Result   : Unsatisfiable 1.01s 1.19s
% Output   : Refutation 1.01s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    6 (   5 unt;   0 nHn;   3 RR)
%            Number of literals    :    7 (   4 equ;   2 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-3 aty)
%            Number of variables   :    4 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_power__one__right_0,axiom,
    ( ~ class_OrderedGroup_Omonoid__mult(X)
    | c_Power_Opower__class_Opower(Y,c_HOL_Oone__class_Oone(tc_nat),X) = Y ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_power__one__right_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/sandbox/benchmark/theBenchmark.p',cls_root__unity_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat)) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

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

cnf(330,plain,
    c_Power_Opower__class_Opower(X,c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex) = X,
    inference('HYPERRESOLVE',[status(thm)],[cls_power__one__right_0,clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult]) ).

cnf(1441,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[cls_root__unity_0,330,theory(equality)]),cls_conjecture_0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV629-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n015.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Wed Jun 15 19:44:25 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 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/sandbox/benchmark/theBenchmark.p 2022-06-15T19:44:25
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-06-15T19:44:25
% 0.40/0.56  WARNING:
% 0.40/0.56     |class_Ring__and__Field_Osgn__if| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.40/0.56  WARNING:
% 0.40/0.56     |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.40/0.56  WARNING:
% 0.40/0.56     |class_OrderedGroup_Opordered__ab__group__add__abs| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.40/0.56  WARNING:
% 0.40/0.56     |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.40/0.56  WARNING:
% 0.40/0.56     |class_Ring__and__Field_Oordered__idom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 1.01/1.19  
% 1.01/1.19  
% 1.01/1.19  #||
% 1.01/1.19  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.01/1.19  % SZS output start Refutation
% See solution above
% 1.01/1.19  ||#
% 1.01/1.19  
% 1.01/1.19  ; Summary of computation:
% 1.01/1.19  ;      6731 formulas have been input or derived (from 302 formulas).
% 1.01/1.19  ;      1441 (21%) were retained.  Of these,
% 1.01/1.19  ;           69 ( 5%) were simplified or subsumed later,
% 1.01/1.19  ;         1372 (95%) are still being kept.
% 1.01/1.19  ; 
% 1.01/1.19  ; Run time in seconds excluding printing time:
% 1.01/1.19  ;     0.075  10%   Read assertion file          (1 call)
% 1.04/1.20  ;     0.007   1%   Assert                       (389 calls)
% 1.04/1.20  ;     0.131  18%   Process new row              (5,849 calls)
% 1.04/1.20  ;     0.161  22%   Resolution                   (602 calls)
% 1.04/1.20  ;     0.011   2%   Paramodulation               (301 calls)
% 1.04/1.20  ;     0.004   1%   Condensing                   (619 calls)
% 1.04/1.20  ;     0.037   5%   Forward subsumption          (619 calls)
% 1.04/1.20  ;     0.008   1%   Backward subsumption         (394 calls)
% 1.04/1.20  ;     0.003   0%   Clause clause subsumption    (1,795 calls)
% 1.04/1.20  ;     0.147  20%   Forward simplification       (5,822 calls)
% 1.04/1.20  ;     0.029   4%   Backward simplification      (1,440 calls)
% 1.04/1.20  ;     0.060   8%   Ordering                     (10,821 calls)
% 1.04/1.20  ;     0.000   0%   Sortal reasoning             (32 calls)
% 1.04/1.20  ;     0.001   0%   Purity testing               (1 call)
% 1.04/1.20  ;     0.044   6%   Other
% 1.04/1.20  ;     0.718        Total
% 1.04/1.20  ;     0.730        Real time
% 1.04/1.20  ; 
% 1.04/1.20  ; Term-hash-array has 3,272 terms in all.
% 1.04/1.20  ; Feature-vector-row-index has 382 entries (382 at peak, 394 added, 12 deleted).
% 1.04/1.20  ; Feature-vector-row-index has 1,784 nodes (1,784 at peak, 1,826 added, 42 deleted).
% 1.04/1.20  ;  Retrieved 2,487 possibly forward subsuming rows in 619 calls.
% 1.04/1.20  ;  Retrieved 361 possibly backward subsumed rows in 394 calls.
% 1.04/1.20  ; Path-index has 3,157 entries (3,157 at peak, 3,296 added, 139 deleted).
% 1.04/1.20  ; Path-index has 7,465 nodes (7,465 at peak, 7,727 added, 262 deleted).
% 1.04/1.20  ; Trie-index has 3,157 entries (3,157 at peak, 3,296 added, 139 deleted).
% 1.04/1.20  ; Trie-index has 17,506 nodes (17,506 at peak, 18,610 added, 1,104 deleted).
% 1.04/1.20  ; Retrieved 39,043 generalization terms in 28,422 calls.
% 1.04/1.20  ; Retrieved 3,174 instance terms in 1,269 calls.
% 1.04/1.20  ; Retrieved 254,488 unifiable terms in 6,589 calls.
% 1.04/1.20  ; 
% 1.04/1.20  ; The agenda of rows to process has 3 entries:
% 1.04/1.20  ;     1 with value 15              1 with value 17               1 with value 26
% 1.04/1.20  ; The agenda of rows to give has 1071 entries:
% 1.04/1.20  ;    13 with value (4 11)         23 with value (4 33)           1 with value (4 56)
% 1.04/1.20  ;    32 with value (4 12)         12 with value (4 34)           4 with value (4 57)
% 1.04/1.20  ;    41 with value (4 13)         23 with value (4 35)           1 with value (4 58)
% 1.04/1.20  ;    53 with value (4 14)          5 with value (4 36)           4 with value (4 60)
% 1.04/1.20  ;    49 with value (4 15)         14 with value (4 37)           1 with value (4 63)
% 1.04/1.20  ;    42 with value (4 16)         12 with value (4 38)           7 with value (4 64)
% 1.04/1.20  ;    67 with value (4 17)         18 with value (4 39)           4 with value (4 67)
% 1.04/1.20  ;    49 with value (4 18)         29 with value (4 40)           3 with value (4 70)
% 1.04/1.20  ;    61 with value (4 19)          5 with value (4 41)           8 with value (4 76)
% 1.04/1.20  ;    36 with value (4 20)         12 with value (4 42)           4 with value (4 77)
% 1.04/1.20  ;    53 with value (4 21)         15 with value (4 43)           6 with value (4 79)
% 1.04/1.20  ;    37 with value (4 22)          5 with value (4 44)           4 with value (4 80)
% 1.04/1.20  ;    55 with value (4 23)          3 with value (4 46)           2 with value (4 82)
% 1.04/1.20  ;    28 with value (4 24)          3 with value (4 47)           1 with value (4 91)
% 1.04/1.20  ;    22 with value (4 25)          5 with value (4 48)           1 with value (4 94)
% 1.04/1.20  ;    51 with value (4 26)         13 with value (4 49)           1 with value (4 97)
% 1.04/1.20  ;    31 with value (4 27)          1 with value (4 50)           1 with value (4 100)
% 1.04/1.20  ;    10 with value (4 28)          4 with value (4 51)           1 with value (4 137)
% 1.04/1.20  ;    14 with value (4 29)          5 with value (4 52)           1 with value (4 140)
% 1.04/1.20  ;    25 with value (4 30)          6 with value (4 54)           1 with value (4 143)
% 1.04/1.20  ;    14 with value (4 31)          2 with value (4 55)           1 with value (4 146)
% 1.04/1.20  ;    16 with value (4 32)
% 1.04/1.20  Evaluation took:
% 1.04/1.20    0.73 seconds of real time
% 1.04/1.20    0.677816 seconds of user run time
% 1.04/1.20    0.052376 seconds of system run time
% 1.04/1.20    [Run times include 0.042 seconds GC run time.]
% 1.04/1.20    0 calls to %EVAL
% 1.04/1.20    0 page faults and
% 1.04/1.20    50,387,424 bytes consed.
% 1.04/1.20  :PROOF-FOUND
% 1.04/1.20  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T19:44:26
% 1.04/1.20  :PROOF-FOUND
% 1.04/1.20  * 
%------------------------------------------------------------------------------