TSTP Solution File: ALG424-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : ALG424-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n027.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 1.01s 1.20s
% Output   : Refutation 1.01s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    6
% Syntax   : Number of clauses     :    8 (   6 unt;   1 nHn;   8 RR)
%            Number of literals    :   12 (   7 equ;   5 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   6 con; 0-3 aty)
%            Number of variables   :    3 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_pne_0,axiom,
    v_pa____ != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pne_0) ).

cnf(cls_CHAINED_0_01,axiom,
    ( ~ class_Ring__and__Field_Oidom(X)
    | c_Polynomial_Oorder(Y,Z,X) != c_HOL_Ozero__class_Ozero(tc_nat)
    | Z = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X))
    | c_Polynomial_Opoly(Z,Y,X) != c_HOL_Ozero__class_Ozero(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).

cnf(cls_CHAINED_0_02,axiom,
    c_Polynomial_Opoly(v_pa____,v_a____,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_02) ).

cnf(cls_CHAINED_0_03,axiom,
    ( c_Ring__and__Field_Odvd__class_Odvd(v_pa____,c_Power_Opower__class_Opower(v_qa____,v_na____,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_03) ).

cnf(cls_conjecture_0,negated_conjecture,
    ~ c_Ring__and__Field_Odvd__class_Odvd(v_pa____,c_Power_Opower__class_Opower(v_qa____,v_na____,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

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

cnf(760,plain,
    c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_nat),
    inference('REWRITE',[status(thm)],[cls_CHAINED_0_03,cls_conjecture_0]) ).

cnf(1377,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[cls_CHAINED_0_01,clsarity_Complex__Ocomplex__Ring__and__Field_Oidom,760,cls_pne_0,cls_CHAINED_0_02]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : ALG424-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n027.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Wed Jun  8 21:25:27 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-06-08T21:25:27
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-08T21:25:27
% 0.54/0.71  WARNING:
% 0.54/0.71     |class_Ring__and__Field_Olordered__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.54/0.71  WARNING:
% 0.54/0.71     |class_OrderedGroup_Olordered__ab__group__add__abs| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.54/0.71  WARNING:
% 0.54/0.71     |class_Lattices_Oboolean__algebra| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.54/0.71  WARNING:
% 0.54/0.71     |class_OrderedGroup_Olordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.54/0.71  WARNING:
% 0.54/0.71     |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.54/0.71  WARNING:
% 0.54/0.71     |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 1.01/1.20  
% 1.01/1.20  
% 1.01/1.20  #||
% 1.01/1.20  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.01/1.20  % SZS output start Refutation
% See solution above
% 1.01/1.20  ||#
% 1.01/1.20  
% 1.01/1.20  ; Summary of computation:
% 1.01/1.20  ;      4819 formulas have been input or derived (from 685 formulas).
% 1.01/1.20  ;      1377 (29%) were retained.  Of these,
% 1.01/1.20  ;           36 ( 3%) were simplified or subsumed later,
% 1.01/1.20  ;         1341 (97%) are still being kept.
% 1.01/1.20  ; 
% 1.01/1.20  ; Run time in seconds excluding printing time:
% 1.01/1.20  ;     0.199  27%   Read assertion file          (1 call)
% 1.01/1.20  ;     0.023   3%   Assert                       (1,033 calls)
% 1.01/1.20  ;     0.084  11%   Process new row              (4,124 calls)
% 1.01/1.20  ;     0.089  12%   Resolution                   (1,368 calls)
% 1.01/1.21  ;     0.041   6%   Paramodulation               (684 calls)
% 1.01/1.21  ;     0.000   0%   Factoring                    (5 calls)
% 1.01/1.21  ;     0.024   3%   Condensing                   (2,061 calls)
% 1.01/1.21  ;     0.063   9%   Forward subsumption          (2,061 calls)
% 1.01/1.21  ;     0.026   4%   Backward subsumption         (981 calls)
% 1.01/1.21  ;     0.028   4%   Clause clause subsumption    (5,240 calls)
% 1.01/1.21  ;     0.081  11%   Forward simplification       (3,966 calls)
% 1.01/1.21  ;     0.006   1%   Backward simplification      (1,377 calls)
% 1.01/1.21  ;     0.027   4%   Ordering                     (8,049 calls)
% 1.01/1.21  ;     0.000   0%   Sortal reasoning             (32 calls)
% 1.01/1.21  ;     0.008   1%   Purity testing               (1 call)
% 1.01/1.21  ;     0.036   5%   Other
% 1.01/1.21  ;     0.735        Total
% 1.01/1.21  ;     0.736        Real time
% 1.01/1.21  ; 
% 1.04/1.21  ; Term-hash-array has 2,373 terms in all.
% 1.04/1.21  ; Feature-vector-row-index has 969 entries (969 at peak, 981 added, 12 deleted).
% 1.04/1.21  ; Feature-vector-row-index has 3,019 nodes (3,019 at peak, 3,092 added, 73 deleted).
% 1.04/1.21  ;  Retrieved 9,861 possibly forward subsuming rows in 2,061 calls.
% 1.04/1.21  ;  Retrieved 1,078 possibly backward subsumed rows in 981 calls.
% 1.04/1.21  ; Path-index has 2,313 entries (2,313 at peak, 2,394 added, 81 deleted).
% 1.04/1.21  ; Path-index has 4,753 nodes (4,753 at peak, 4,844 added, 91 deleted).
% 1.04/1.21  ; Trie-index has 2,313 entries (2,313 at peak, 2,394 added, 81 deleted).
% 1.04/1.21  ; Trie-index has 7,817 nodes (7,817 at peak, 8,210 added, 393 deleted).
% 1.04/1.21  ; Retrieved 11,040 generalization terms in 14,121 calls.
% 1.04/1.21  ; Retrieved 843 instance terms in 448 calls.
% 1.04/1.21  ; Retrieved 130,935 unifiable terms in 4,930 calls.
% 1.04/1.21  ; 
% 1.04/1.21  ; The agenda of rows to process has 6 entries:
% 1.04/1.21  ;     1 with value 4               2 with value 10               2 with value 28
% 1.04/1.21  ;     1 with value 9
% 1.04/1.21  ; The agenda of input rows to give has 68 entries:
% 1.04/1.21  ;     8 with value 30              1 with value 36               1 with value 44
% 1.04/1.21  ;     3 with value 31              6 with value 37               1 with value 45
% 1.04/1.21  ;     3 with value 32              1 with value 38               2 with value 46
% 1.04/1.21  ;     5 with value 33             15 with value 39               1 with value 47
% 1.04/1.21  ;     7 with value 34              5 with value 42               1 with value 52
% 1.04/1.21  ;     5 with value 35              3 with value 43
% 1.04/1.21  ; The agenda of rows to give has 588 entries:
% 1.04/1.21  ;    53 with value (4 6)          43 with value (4 19)           5 with value (4 31)
% 1.04/1.21  ;     9 with value (4 8)          26 with value (4 20)          10 with value (4 32)
% 1.04/1.21  ;     4 with value (4 9)          13 with value (4 21)           9 with value (4 33)
% 1.04/1.21  ;    15 with value (4 10)         20 with value (4 22)          21 with value (4 34)
% 1.04/1.21  ;    21 with value (4 11)         13 with value (4 23)          11 with value (4 35)
% 1.04/1.21  ;    24 with value (4 12)         29 with value (4 24)           8 with value (4 36)
% 1.04/1.21  ;    10 with value (4 13)         16 with value (4 25)           9 with value (4 37)
% 1.04/1.21  ;    14 with value (4 14)         26 with value (4 26)           1 with value (4 39)
% 1.04/1.21  ;    17 with value (4 15)         26 with value (4 27)          12 with value (4 40)
% 1.04/1.21  ;    17 with value (4 16)          8 with value (4 28)           2 with value (4 41)
% 1.04/1.21  ;    38 with value (4 17)          7 with value (4 29)           1 with value (4 42)
% 1.04/1.21  ;    22 with value (4 18)         28 with value (4 30)
% 1.04/1.21  Evaluation took:
% 1.04/1.21    0.737 seconds of real time
% 1.04/1.21    0.68193 seconds of user run time
% 1.04/1.21    0.055219 seconds of system run time
% 1.04/1.21    [Run times include 0.036 seconds GC run time.]
% 1.04/1.21    0 calls to %EVAL
% 1.04/1.21    0 page faults and
% 1.04/1.21    51,827,960 bytes consed.
% 1.04/1.21  :PROOF-FOUND
% 1.04/1.21  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-08T21:25:28
% 1.04/1.21  :PROOF-FOUND
% 1.04/1.21  * 
%------------------------------------------------------------------------------