TSTP Solution File: ALG399-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : ALG399-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n023.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 18:00:44 EDT 2022

% Result   : Unsatisfiable 0.54s 0.77s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    2
% Syntax   : Number of clauses     :    3 (   3 unt;   0 nHn;   2 RR)
%            Number of literals    :    3 (   2 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-3 aty)
%            Number of variables   :    1 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_qr_0,axiom,
    c_Polynomial_Opoly(v_q____,X,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),X,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_qr_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_y____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_q____,v_y____,tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(589,plain,
    $false,
    inference('REWRITE',[status(thm)],[cls_conjecture_0,cls_qr_0,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : ALG399-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n023.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 16:10:38 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.46  #<PACKAGE "SNARK-USER">
% 0.19/0.46  * 
% 0.19/0.46  SNARK-TPTP-OPTIONS
% 0.19/0.46  * 
% 0.19/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46   (USE-FACTORING :POS)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46  * 
% 0.19/0.46  "."
% 0.19/0.46  * 
% 0.19/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-08T16:10:38
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-08T16:10:38
% 0.46/0.68  WARNING:
% 0.46/0.68     |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.46/0.68  WARNING:
% 0.46/0.68     |class_Lattices_Oboolean__algebra| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.46/0.68  WARNING:
% 0.46/0.68     |class_OrderedGroup_Olordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.46/0.68  WARNING:
% 0.46/0.68     |class_OrderedGroup_Olordered__ab__group__add__abs| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.46/0.68  WARNING:
% 0.46/0.68     |class_Ring__and__Field_Olordered__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.46/0.68  WARNING:
% 0.46/0.68     |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.54/0.77  
% 0.54/0.77  
% 0.54/0.77  #||
% 0.54/0.77  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.54/0.78  % SZS output start Refutation
% See solution above
% 0.54/0.78  ||#
% 0.54/0.78  
% 0.54/0.78  ; Summary of computation:
% 0.54/0.78  ;       963 formulas have been input or derived (from 1 formulas).
% 0.54/0.78  ;       589 (61%) were retained.  Of these,
% 0.54/0.78  ;            6 ( 1%) were simplified or subsumed later,
% 0.54/0.78  ;          583 (99%) are still being kept.
% 0.54/0.78  ; 
% 0.54/0.78  ; Run time in seconds:
% 0.54/0.78  ;     0.184  59%   Read assertion file          (1 call)
% 0.54/0.78  ;     0.020   6%   Assert                       (961 calls)
% 0.54/0.78  ;     0.039  12%   Process new row              (822 calls)
% 0.54/0.78  ;     0.013   4%   Condensing                   (656 calls)
% 0.54/0.78  ;     0.011   4%   Forward subsumption          (656 calls)
% 0.54/0.78  ;     0.004   1%   Backward subsumption         (581 calls)
% 0.54/0.78  ;     0.005   2%   Clause clause subsumption    (690 calls)
% 0.54/0.78  ;     0.009   3%   Forward simplification       (664 calls)
% 0.54/0.78  ;     0.001   0%   Backward simplification      (588 calls)
% 0.54/0.78  ;     0.000   0%   Ordering                     (6 calls)
% 0.54/0.78  ;     0.001   0%   Sortal reasoning             (32 calls)
% 0.54/0.78  ;     0.003   1%   Purity testing               (1 call)
% 0.54/0.78  ;     0.022   7%   Other
% 0.54/0.78  ;     0.312        Total
% 0.54/0.78  ;     0.312        Real time
% 0.54/0.78  ; 
% 0.54/0.78  ; Term-hash-array has 1,031 terms in all.
% 0.54/0.78  ; Feature-vector-row-index has 577 entries (577 at peak, 581 added, 4 deleted).
% 0.54/0.78  ; Feature-vector-row-index has 1,907 nodes (1,907 at peak, 1,926 added, 19 deleted).
% 0.54/0.78  ;  Retrieved 463 possibly forward subsuming rows in 656 calls.
% 0.54/0.78  ;  Retrieved 388 possibly backward subsumed rows in 581 calls.
% 0.54/0.78  ; Path-index has 1,030 entries (1,030 at peak, 1,045 added, 15 deleted).
% 0.54/0.78  ; Path-index has 3,818 nodes (3,818 at peak, 3,836 added, 18 deleted).
% 0.54/0.78  ; Trie-index has 1,030 entries (1,030 at peak, 1,045 added, 15 deleted).
% 0.54/0.78  ; Trie-index has 4,704 nodes (4,704 at peak, 4,780 added, 76 deleted).
% 0.54/0.78  ; Retrieved 2 generalization terms in 108 calls.
% 0.54/0.78  ; Retrieved 7 instance terms in 6 calls.
% 0.54/0.78  ; 
% 0.54/0.78  ; The agenda of input rows to process has 124 entries:
% 0.54/0.78  ;   124 with value 0
% 0.54/0.78  ; The agenda of backward simplifiable rows to process has 1 entry:
% 0.54/0.78  ;     1 with value 0
% 0.54/0.78  ; The agenda of input rows to give has 582 entries:
% 0.54/0.78  ;     6 with value 8              26 with value 22               5 with value 35
% 0.54/0.78  ;     3 with value 10              8 with value 23               1 with value 36
% 0.54/0.78  ;     6 with value 11             36 with value 24               7 with value 37
% 0.54/0.78  ;     8 with value 12             25 with value 25               1 with value 38
% 0.54/0.78  ;    35 with value 13             21 with value 26              14 with value 39
% 0.54/0.78  ;    22 with value 14             75 with value 27               3 with value 42
% 0.54/0.78  ;    15 with value 15              8 with value 28               3 with value 43
% 0.54/0.78  ;    27 with value 16              5 with value 29               1 with value 44
% 0.54/0.78  ;    30 with value 17              8 with value 30               1 with value 45
% 0.54/0.78  ;    48 with value 18              4 with value 31               2 with value 46
% 0.54/0.78  ;    35 with value 19              5 with value 32               1 with value 47
% 0.54/0.78  ;    39 with value 20              9 with value 33               1 with value 52
% 0.54/0.78  ;    32 with value 21              6 with value 34
% 0.54/0.78  Evaluation took:
% 0.54/0.78    0.313 seconds of real time
% 0.54/0.78    0.297041 seconds of user run time
% 0.54/0.78    0.015767 seconds of system run time
% 0.54/0.78    [Run times include 0.006 seconds GC run time.]
% 0.54/0.78    0 calls to %EVAL
% 0.54/0.78    0 page faults and
% 0.54/0.78    20,195,912 bytes consed.
% 0.54/0.78  :PROOF-FOUND
% 0.54/0.78  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-08T16:10:38
% 0.54/0.78  :PROOF-FOUND
% 0.54/0.78  * 
%------------------------------------------------------------------------------