TSTP Solution File: ALG406-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : ALG406-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n024.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 1.20s 1.43s
% Output   : Refutation 1.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   14 (  11 unt;   0 nHn;  11 RR)
%            Number of literals    :   20 (   1 equ;   8 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-3 aty)
%            Number of variables   :    9 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_t_I1_J_0,axiom,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_t____,tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_t_I1_J_0) ).

cnf(cls_real__less__def_0,axiom,
    ( c_lessequals(X,Y,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X,Y,tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__less__def_0) ).

cnf(cls_norm__ge__zero_0,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X)
    | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(Y,X),tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_norm__ge__zero_0) ).

cnf(cls_t_I2_J_0,axiom,
    c_HOL_Oord__class_Oless(v_t____,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_t_I2_J_0) ).

cnf(cls_mult__left__le__one__le_0,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X)
    | c_lessequals(c_HOL_Otimes__class_Otimes(Y,Z,X),Z,X)
    | ~ c_lessequals(Y,c_HOL_Oone__class_Oone(X),X)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X),Y,X)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X),Z,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mult__left__le__one__le_0) ).

cnf(cls_real__mult__1_0,axiom,
    c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X,tc_RealDef_Oreal) = X,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__mult__1_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    ~ c_lessequals(c_HOL_Otimes__class_Otimes(v_t____,c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(492,plain,
    ~ c_lessequals(c_HOL_Otimes__class_Otimes(v_t____,c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal),
    inference('REWRITE',[status(thm)],[cls_conjecture_0,cls_real__mult__1_0,theory(equality)]) ).

cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom,axiom,
    class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom) ).

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

cnf(617,plain,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_t____,tc_RealDef_Oreal),
    inference('HYPERRESOLVE',[status(thm)],[cls_real__less__def_0,cls_t_I1_J_0]) ).

cnf(618,plain,
    c_lessequals(v_t____,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference('HYPERRESOLVE',[status(thm)],[cls_real__less__def_0,cls_t_I2_J_0]) ).

cnf(649,plain,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X,tc_Complex_Ocomplex),tc_RealDef_Oreal),
    inference('HYPERRESOLVE',[status(thm)],[cls_norm__ge__zero_0,clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector]) ).

cnf(1670,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_mult__left__le__one__le_0,618,clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom,492,617]),649]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : ALG406-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n024.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 : Tue Jun  7 23:15:34 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.44  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45  * 
% 0.19/0.45  * 
% 0.19/0.45  #<PACKAGE "SNARK-USER">
% 0.19/0.45  * 
% 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 2022-06-07T23:15:35
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-06-07T23:15:35
% 0.41/0.61  WARNING:
% 0.41/0.61     |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.41/0.61  WARNING:
% 0.41/0.61     |class_Lattices_Oboolean__algebra| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 1.20/1.43  
% 1.20/1.43  
% 1.20/1.43  #||
% 1.20/1.43  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.20/1.43  % SZS output start Refutation
% See solution above
% 1.20/1.44  ||#
% 1.20/1.44  
% 1.20/1.44  ; Summary of computation:
% 1.20/1.44  ;      6868 formulas have been input or derived (from 611 formulas).
% 1.20/1.44  ;      1670 (24%) were retained.  Of these,
% 1.20/1.44  ;           52 ( 3%) were simplified or subsumed later,
% 1.20/1.44  ;         1618 (97%) are still being kept.
% 1.20/1.44  ; 
% 1.20/1.44  ; Run time in seconds excluding printing time:
% 1.20/1.44  ;     0.130  13%   Read assertion file          (1 call)
% 1.20/1.44  ;     0.011   1%   Assert                       (678 calls)
% 1.20/1.44  ;     0.129  13%   Process new row              (5,480 calls)
% 1.20/1.44  ;     0.237  24%   Resolution                   (1,220 calls)
% 1.20/1.44  ;     0.018   2%   Paramodulation               (610 calls)
% 1.20/1.44  ;     0.000   0%   Factoring                    (2 calls)
% 1.20/1.44  ;     0.039   4%   Condensing                   (2,821 calls)
% 1.20/1.44  ;     0.120  12%   Forward subsumption          (2,821 calls)
% 1.20/1.44  ;     0.022   2%   Backward subsumption         (1,086 calls)
% 1.20/1.44  ;     0.038   4%   Clause clause subsumption    (7,443 calls)
% 1.20/1.44  ;     0.147  15%   Forward simplification       (5,476 calls)
% 1.20/1.44  ;     0.009   1%   Backward simplification      (1,669 calls)
% 1.20/1.44  ;     0.023   2%   Ordering                     (12,727 calls)
% 1.20/1.44  ;     0.000   0%   Sortal reasoning             (32 calls)
% 1.20/1.44  ;     0.002   0%   Purity testing               (1 call)
% 1.20/1.44  ;     0.049   5%   Other
% 1.20/1.44  ;     0.974        Total
% 1.20/1.44  ;     0.981        Real time
% 1.20/1.44  ; 
% 1.20/1.44  ; Term-hash-array has 2,717 terms in all.
% 1.20/1.44  ; Feature-vector-row-index has 1,059 entries (1,059 at peak, 1,086 added, 27 deleted).
% 1.20/1.44  ; Feature-vector-row-index has 3,978 nodes (3,978 at peak, 4,097 added, 119 deleted).
% 1.20/1.44  ;  Retrieved 17,566 possibly forward subsuming rows in 2,821 calls.
% 1.20/1.44  ;  Retrieved 1,154 possibly backward subsumed rows in 1,086 calls.
% 1.20/1.44  ; Path-index has 2,653 entries (2,653 at peak, 2,758 added, 105 deleted).
% 1.20/1.44  ; Path-index has 3,815 nodes (3,815 at peak, 3,890 added, 75 deleted).
% 1.20/1.44  ; Trie-index has 2,653 entries (2,653 at peak, 2,758 added, 105 deleted).
% 1.20/1.44  ; Trie-index has 9,813 nodes (9,813 at peak, 10,323 added, 510 deleted).
% 1.20/1.44  ; Retrieved 15,164 generalization terms in 23,716 calls.
% 1.20/1.44  ; Retrieved 917 instance terms in 640 calls.
% 1.20/1.44  ; Retrieved 373,549 unifiable terms in 9,214 calls.
% 1.20/1.44  ; 
% 1.20/1.44  ; The agenda of rows to process has 373 entries:
% 1.20/1.44  ;     2 with value 11              3 with value 22              24 with value 33
% 1.20/1.44  ;     1 with value 12             21 with value 23              10 with value 34
% 1.20/1.44  ;     6 with value 13             34 with value 24              33 with value 35
% 1.20/1.44  ;    24 with value 14             17 with value 25               8 with value 36
% 1.20/1.44  ;     5 with value 15             17 with value 26               2 with value 38
% 1.20/1.44  ;    22 with value 16              2 with value 27               1 with value 39
% 1.20/1.44  ;    34 with value 17             29 with value 28               3 with value 42
% 1.20/1.44  ;    24 with value 18              4 with value 29               1 with value 43
% 1.20/1.44  ;     4 with value 19              2 with value 30               2 with value 45
% 1.20/1.44  ;     5 with value 20             13 with value 31               1 with value 46
% 1.20/1.44  ;    12 with value 21              7 with value 32
% 1.20/1.44  ; The agenda of rows to give has 1009 entries:
% 1.20/1.44  ;     6 with value (4 8)          32 with value (4 23)           7 with value (4 38)
% 1.20/1.44  ;    14 with value (4 9)          53 with value (4 24)          10 with value (4 39)
% 1.20/1.44  ;    31 with value (4 10)         54 with value (4 25)           4 with value (4 40)
% 1.20/1.44  ;    53 with value (4 11)         29 with value (4 26)           3 with value (4 41)
% 1.20/1.44  ;    30 with value (4 12)         11 with value (4 27)           8 with value (4 42)
% 1.20/1.44  ;    27 with value (4 13)         19 with value (4 28)           1 with value (4 43)
% 1.20/1.44  ;    31 with value (4 14)         24 with value (4 29)           5 with value (4 44)
% 1.20/1.44  ;    36 with value (4 15)         25 with value (4 30)           4 with value (4 45)
% 1.20/1.44  ;    43 with value (4 16)         48 with value (4 31)           2 with value (4 46)
% 1.20/1.44  ;    41 with value (4 17)         25 with value (4 32)           2 with value (4 47)
% 1.20/1.44  ;    35 with value (4 18)         34 with value (4 33)           4 with value (4 48)
% 1.20/1.44  ;    59 with value (4 19)          9 with value (4 34)           3 with value (4 49)
% 1.20/1.44  ;    62 with value (4 20)         48 with value (4 35)           1 with value (4 50)
% 1.20/1.44  ;    21 with value (4 21)          6 with value (4 36)           4 with value (4 51)
% 1.20/1.44  ;    36 with value (4 22)          8 with value (4 37)           1 with value (4 52)
% 1.20/1.44  Evaluation took:
% 1.20/1.44    0.981 seconds of real time
% 1.20/1.44    0.905459 seconds of user run time
% 1.20/1.44    0.075886 seconds of system run time
% 1.20/1.44    [Run times include 0.059 seconds GC run time.]
% 1.20/1.44    0 calls to %EVAL
% 1.20/1.44    0 page faults and
% 1.20/1.44    75,834,096 bytes consed.
% 1.20/1.44  :PROOF-FOUND
% 1.20/1.44  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-07T23:15:35
% 1.20/1.44  :PROOF-FOUND
% 1.20/1.44  * 
%------------------------------------------------------------------------------