TSTP Solution File: ALG382-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : ALG382-1 : 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 18:00:41 EDT 2022

% Result   : Unsatisfiable 0.60s 0.83s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    4 (   4 unt;   0 nHn;   3 RR)
%            Number of literals    :    4 (   1 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   7 con; 0-3 aty)
%            Number of variables   :    1 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
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/sandbox2/benchmark/theBenchmark.p',cls_real__mult__1_0) ).

cnf(cls_CHAINED_0,axiom,
    c_lessequals(c_HOL_Oplus__class_Oplus(v_da____,c_RealVector_Onorm__class_Onorm(v_aa____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    ~ c_lessequals(c_HOL_Oplus__class_Oplus(v_da____,c_RealVector_Onorm__class_Onorm(v_aa____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(749,plain,
    $false,
    inference('REWRITE',[status(thm)],[cls_conjecture_0,cls_CHAINED_0,cls_real__mult__1_0,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : ALG382-1 : TPTP v8.1.0. Released v4.1.0.
% 0.14/0.14  % Command  : run-snark %s %d
% 0.14/0.35  % Computer : n024.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Thu Jun  9 02:41:49 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.22/0.47  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.48  * 
% 0.22/0.48  * 
% 0.22/0.49  #<PACKAGE "SNARK-USER">
% 0.22/0.49  * 
% 0.22/0.49  SNARK-TPTP-OPTIONS
% 0.22/0.49  * 
% 0.22/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.49   (USE-FACTORING :POS)
% 0.22/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.49  * 
% 0.22/0.49  "."
% 0.22/0.49  * 
% 0.22/0.49  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-09T02:41:49
% 0.22/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-06-09T02:41:49
% 0.50/0.71  WARNING:
% 0.50/0.71     |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.50/0.71  WARNING:
% 0.50/0.71     |class_Lattices_Oboolean__algebra| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.60/0.83  
% 0.60/0.83  
% 0.60/0.83  #||
% 0.60/0.83  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.60/0.83  % SZS output start Refutation
% See solution above
% 0.60/0.83  ||#
% 0.60/0.83  
% 0.60/0.83  ; Summary of computation:
% 0.60/0.83  ;       996 formulas have been input or derived (from 1 formulas).
% 0.60/0.83  ;       749 (75%) were retained.  Of these,
% 0.60/0.83  ;           12 ( 2%) were simplified or subsumed later,
% 0.60/0.83  ;          737 (98%) are still being kept.
% 0.60/0.83  ; 
% 0.60/0.83  ; Run time in seconds:
% 0.60/0.83  ;     0.180  53%   Read assertion file          (1 call)
% 0.60/0.83  ;     0.020   6%   Assert                       (992 calls)
% 0.60/0.83  ;     0.048  14%   Process new row              (827 calls)
% 0.60/0.83  ;     0.008   2%   Condensing                   (794 calls)
% 0.60/0.83  ;     0.016   5%   Forward subsumption          (794 calls)
% 0.60/0.83  ;     0.013   4%   Backward subsumption         (720 calls)
% 0.60/0.83  ;     0.006   2%   Clause clause subsumption    (1,013 calls)
% 0.60/0.83  ;     0.020   6%   Forward simplification       (823 calls)
% 0.60/0.83  ;     0.000   0%   Backward simplification      (748 calls)
% 0.60/0.83  ;     0.000   0%   Ordering                     (16 calls)
% 0.60/0.83  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.60/0.83  ;     0.003   1%   Purity testing               (1 call)
% 0.60/0.83  ;     0.025   7%   Other
% 0.60/0.83  ;     0.339        Total
% 0.60/0.83  ;     0.339        Real time
% 0.60/0.83  ; 
% 0.60/0.83  ; Term-hash-array has 1,074 terms in all.
% 0.60/0.83  ; Feature-vector-row-index has 710 entries (710 at peak, 720 added, 10 deleted).
% 0.60/0.83  ; Feature-vector-row-index has 2,028 nodes (2,028 at peak, 2,092 added, 64 deleted).
% 0.60/0.83  ;  Retrieved 856 possibly forward subsuming rows in 794 calls.
% 0.60/0.83  ;  Retrieved 691 possibly backward subsumed rows in 720 calls.
% 0.60/0.83  ; Path-index has 1,065 entries (1,065 at peak, 1,089 added, 24 deleted).
% 0.60/0.83  ; Path-index has 3,406 nodes (3,406 at peak, 3,448 added, 42 deleted).
% 0.60/0.83  ; Trie-index has 1,065 entries (1,065 at peak, 1,089 added, 24 deleted).
% 0.60/0.83  ; Trie-index has 4,289 nodes (4,289 at peak, 4,405 added, 116 deleted).
% 0.60/0.83  ; Retrieved 32 generalization terms in 1,907 calls.
% 0.60/0.83  ; Retrieved 123 instance terms in 29 calls.
% 0.60/0.83  ; 
% 0.60/0.83  ; The agenda of input rows to process has 150 entries:
% 0.60/0.83  ;   150 with value 0
% 0.60/0.83  ; The agenda of backward simplifiable rows to process has 3 entries:
% 0.60/0.83  ;     3 with value 0
% 0.60/0.83  ; The agenda of input rows to give has 736 entries:
% 0.60/0.83  ;     2 with value 5              38 with value 20               6 with value 34
% 0.60/0.83  ;     1 with value 7              36 with value 21               6 with value 35
% 0.60/0.83  ;     8 with value 8              41 with value 22               9 with value 36
% 0.60/0.83  ;     3 with value 9               7 with value 23               9 with value 37
% 0.60/0.83  ;     6 with value 10             37 with value 24              17 with value 38
% 0.60/0.83  ;     8 with value 11             35 with value 25              17 with value 39
% 0.60/0.83  ;    16 with value 12             11 with value 26               9 with value 40
% 0.60/0.83  ;    48 with value 13             84 with value 27               3 with value 42
% 0.60/0.83  ;    25 with value 14             11 with value 28               1 with value 44
% 0.60/0.83  ;    36 with value 15              8 with value 29               1 with value 45
% 0.60/0.83  ;    26 with value 16             29 with value 30               2 with value 46
% 0.60/0.83  ;    31 with value 17              7 with value 31               1 with value 47
% 0.60/0.83  ;    51 with value 18              3 with value 32               1 with value 52
% 0.60/0.83  ;    42 with value 19              4 with value 33
% 0.60/0.83  Evaluation took:
% 0.60/0.83    0.34 seconds of real time
% 0.60/0.83    0.317733 seconds of user run time
% 0.60/0.83    0.022416 seconds of system run time
% 0.60/0.83    [Run times include 0.009 seconds GC run time.]
% 0.60/0.83    0 calls to %EVAL
% 0.60/0.83    0 page faults and
% 0.60/0.83    21,858,592 bytes consed.
% 0.60/0.83  :PROOF-FOUND
% 0.60/0.83  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-09T02:41:50
% 0.60/0.83  :PROOF-FOUND
% 0.60/0.83  * 
%------------------------------------------------------------------------------