TSTP Solution File: ALG428-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : ALG428-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n020.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 18:00:47 EDT 2022

% Result   : Unsatisfiable 2.13s 2.35s
% Output   : Refutation 2.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    8 (   5 unt;   1 nHn;   7 RR)
%            Number of literals    :   11 (   5 equ;   5 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   2 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-3 aty)
%            Number of variables   :    4 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Suc__pred_0,axiom,
    ( c_Suc(c_HOL_Ominus__class_Ominus(X,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__pred_0) ).

cnf(cls_gr0I_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X,tc_nat)
    | X = c_HOL_Ozero__class_Ozero(tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_gr0I_0) ).

cnf(cls_dp_0,axiom,
    c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_dp_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    ~ v_thesis____,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    ( c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) != c_Suc(X)
    | v_thesis____ ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(632,plain,
    c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) != c_Suc(X),
    inference('REWRITE',[status(thm)],[cls_conjecture_1,cls_conjecture_0]) ).

cnf(869,plain,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_nat),
    inference('UR-RESOLVE',[status(thm)],[cls_gr0I_0,cls_dp_0]) ).

cnf(2161,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_Suc__pred_0,632]),869]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : ALG428-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n020.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Wed Jun  8 05:58:06 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47  * 
% 0.19/0.47  * 
% 0.19/0.48  #<PACKAGE "SNARK-USER">
% 0.19/0.48  * 
% 0.19/0.48  SNARK-TPTP-OPTIONS
% 0.19/0.48  * 
% 0.19/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48   (USE-FACTORING :POS)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48  * 
% 0.19/0.48  "."
% 0.19/0.48  * 
% 0.19/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-08T05:58:06
% 0.19/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-08T05:58:06
% 0.46/0.67  
% 0.46/0.67  ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 0.46/0.67  WARNING:
% 0.46/0.67     |class_Lattices_Oboolean__algebra| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.46/0.67  WARNING:
% 0.46/0.67     |class_OrderedGroup_Olordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.46/0.67  WARNING:
% 0.46/0.67     |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 2.13/2.35  ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 2.13/2.35  
% 2.13/2.35  #||
% 2.13/2.35  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.13/2.35  % SZS output start Refutation
% See solution above
% 2.13/2.35  ||#
% 2.13/2.35  
% 2.13/2.35  ; Summary of computation:
% 2.13/2.35  ;      7626 formulas have been input or derived (from 446 formulas).
% 2.13/2.35  ;      2161 (28%) were retained.  Of these,
% 2.13/2.35  ;           90 ( 4%) were simplified or subsumed later,
% 2.13/2.35  ;         2071 (96%) are still being kept.
% 2.13/2.35  ; 
% 2.13/2.35  ; Run time in seconds excluding printing time:
% 2.13/2.35  ;     0.164   9%   Read assertion file          (1 call)
% 2.13/2.35  ;     0.015   1%   Assert                       (891 calls)
% 2.13/2.35  ;     0.159   9%   Process new row              (6,686 calls)
% 2.13/2.35  ;     0.143   8%   Resolution                   (890 calls)
% 2.13/2.35  ;     0.021   1%   Paramodulation               (445 calls)
% 2.13/2.35  ;     0.000   0%   Factoring                    (14 calls)
% 2.13/2.35  ;     0.037   2%   Condensing                   (2,878 calls)
% 2.13/2.35  ;     0.107   6%   Forward subsumption          (2,878 calls)
% 2.13/2.35  ;     0.049   3%   Backward subsumption         (1,411 calls)
% 2.13/2.35  ;     0.035   2%   Clause clause subsumption    (7,867 calls)
% 2.13/2.35  ;     0.163   9%   Forward simplification       (6,666 calls)
% 2.13/2.35  ;     0.016   1%   Backward simplification      (2,148 calls)
% 2.13/2.35  ;     0.918  49%   Ordering                     (18,952 calls)
% 2.13/2.35  ;     0.000   0%   Sortal reasoning             (32 calls)
% 2.13/2.35  ;     0.002   0%   Purity testing               (1 call)
% 2.13/2.35  ;     0.040   2%   Other
% 2.13/2.35  ;     1.869        Total
% 2.13/2.35  ;     1.870        Real time
% 2.13/2.35  ; 
% 2.13/2.35  ; Term-hash-array has 3,311 terms in all.
% 2.13/2.35  ; Feature-vector-row-index has 1,371 entries (1,371 at peak, 1,411 added, 40 deleted).
% 2.13/2.35  ; Feature-vector-row-index has 4,421 nodes (4,421 at peak, 4,657 added, 236 deleted).
% 2.13/2.35  ;  Retrieved 12,286 possibly forward subsuming rows in 2,878 calls.
% 2.13/2.35  ;  Retrieved 1,561 possibly backward subsumed rows in 1,411 calls.
% 2.13/2.35  ; Path-index has 3,194 entries (3,194 at peak, 3,341 added, 147 deleted).
% 2.13/2.35  ; Path-index has 9,516 nodes (9,516 at peak, 9,708 added, 192 deleted).
% 2.13/2.35  ; Trie-index has 3,194 entries (3,194 at peak, 3,341 added, 147 deleted).
% 2.13/2.35  ; Trie-index has 12,985 nodes (12,985 at peak, 13,757 added, 772 deleted).
% 2.13/2.35  ; Retrieved 27,627 generalization terms in 26,695 calls.
% 2.13/2.35  ; Retrieved 2,151 instance terms in 846 calls.
% 2.13/2.35  ; Retrieved 193,206 unifiable terms in 3,927 calls.
% 2.13/2.35  ; 
% 2.13/2.35  ; The agenda of rows to process has 13 entries:
% 2.13/2.35  ;     1 with value 17              1 with value 24               1 with value 30
% 2.13/2.35  ;     2 with value 19              4 with value 26               1 with value 33
% 2.13/2.35  ;     1 with value 21              2 with value 28
% 2.13/2.35  ; The agenda of input rows to give has 257 entries:
% 2.13/2.35  ;    35 with value 21              3 with value 29               1 with value 37
% 2.13/2.35  ;    23 with value 22              4 with value 30               1 with value 38
% 2.13/2.35  ;     9 with value 23              1 with value 31              14 with value 39
% 2.13/2.35  ;    36 with value 24              4 with value 32               1 with value 42
% 2.13/2.35  ;    24 with value 25              1 with value 34               5 with value 43
% 2.13/2.35  ;     8 with value 26              1 with value 35               8 with value 44
% 2.13/2.35  ;    71 with value 27              1 with value 36               1 with value 47
% 2.13/2.35  ;     5 with value 28
% 2.13/2.35  ; The agenda of rows to give has 1368 entries:
% 2.13/2.35  ;     3 with value (4 4)          61 with value (4 22)           3 with value (4 38)
% 2.13/2.35  ;    37 with value (4 6)          57 with value (4 23)           4 with value (4 39)
% 2.13/2.35  ;     2 with value (4 8)          74 with value (4 24)           3 with value (4 40)
% 2.13/2.35  ;     4 with value (4 9)          64 with value (4 25)           2 with value (4 41)
% 2.13/2.35  ;    13 with value (4 10)         97 with value (4 26)           3 with value (4 42)
% 2.13/2.35  ;    22 with value (4 11)         51 with value (4 27)           1 with value (4 44)
% 2.13/2.35  ;    26 with value (4 12)         31 with value (4 28)           3 with value (4 45)
% 2.13/2.35  ;    58 with value (4 13)         35 with value (4 29)           3 with value (4 46)
% 2.13/2.35  ;    68 with value (4 14)         24 with value (4 30)           1 with value (4 47)
% 2.13/2.35  ;    56 with value (4 15)         20 with value (4 31)           1 with value (4 49)
% 2.13/2.35  ;    85 with value (4 16)         25 with value (4 32)           1 with value (4 51)
% 2.13/2.35  ;    98 with value (4 17)         14 with value (4 33)           2 with value (4 62)
% 2.13/2.35  ;    78 with value (4 18)         14 with value (4 34)           4 with value (4 80)
% 2.13/2.35  ;    74 with value (4 19)         13 with value (4 35)           1 with value (4 84)
% 2.13/2.35  ;    69 with value (4 20)          5 with value (4 36)           2 with value (4 175)
% 2.13/2.35  ;    44 with value (4 21)         10 with value (4 37)           2 with value (4 254)
% 2.13/2.35  Evaluation took:
% 2.13/2.35    1.871 seconds of real time
% 2.13/2.35    1.778121 seconds of user run time
% 2.13/2.35    0.093159 seconds of system run time
% 2.13/2.35    [Run times include 0.081 seconds GC run time.]
% 2.13/2.35    0 calls to %EVAL
% 2.13/2.35    0 page faults and
% 2.13/2.35    121,574,272 bytes consed.
% 2.13/2.35  :PROOF-FOUND
% 2.13/2.35  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-08T05:58:08
% 2.13/2.35  :PROOF-FOUND
% 2.13/2.35  * 
%------------------------------------------------------------------------------