TSTP Solution File: ALG354-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : ALG354-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n029.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 18:00:37 EDT 2022

% Result   : Unsatisfiable 0.47s 0.66s
% Output   : Refutation 0.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    8 (   6 unt;   1 nHn;   8 RR)
%            Number of literals    :   11 (   2 equ;   5 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   2 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   6 con; 0-3 aty)
%            Number of variables   :    2 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_CHAINED_0,axiom,
    c_HOL_Oord__class_Oless(v_m____,v_na____,tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).

cnf(cls_CHAINED_0_01,axiom,
    v_m____ != c_HOL_Ozero__class_Ozero(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).

cnf(cls_CHAINED_0_02,axiom,
    ( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_b,c_Power_Opower__class_Opower(v_sko__CHAINED__1(v_b,v_m____),v_m____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | v_m____ = c_HOL_Ozero__class_Ozero(tc_nat)
    | ~ c_HOL_Oord__class_Oless(v_m____,v_na____,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_02) ).

cnf(300,plain,
    c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_b,c_Power_Opower__class_Opower(v_sko__CHAINED__1(v_b,v_m____),v_m____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference('REWRITE',[status(thm)],[cls_CHAINED_0_02,cls_CHAINED_0,cls_CHAINED_0_01]) ).

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

cnf(cls_conjecture_1,negated_conjecture,
    ( v_thesis____
    | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_b,c_Power_Opower__class_Opower(X,v_m____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(303,plain,
    ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_b,c_Power_Opower__class_Opower(X,v_m____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference('REWRITE',[status(thm)],[cls_conjecture_1,cls_conjecture_0]) ).

cnf(304,plain,
    $false,
    inference('REWRITE',[status(thm)],[300,303]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : ALG354-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n029.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 19:26:21 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46  * 
% 0.20/0.46  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 0.20/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47   (USE-FACTORING :POS)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47  * 
% 0.20/0.47  "."
% 0.20/0.47  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-08T19:26:21
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-06-08T19:26:21
% 0.41/0.60  
% 0.41/0.60  ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 0.41/0.60  WARNING:
% 0.41/0.60     |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.41/0.60  WARNING:
% 0.41/0.60     |class_Lattices_Oboolean__algebra| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.66  ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 0.47/0.66  
% 0.47/0.66  #||
% 0.47/0.66  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.66  % SZS output start Refutation
% See solution above
% 0.47/0.66  ||#
% 0.47/0.66  
% 0.47/0.66  ; Summary of computation:
% 0.47/0.66  ;       482 formulas have been input or derived (from 1 formulas).
% 0.47/0.66  ;       304 (63%) were retained.  Of these,
% 0.47/0.66  ;           10 ( 3%) were simplified or subsumed later,
% 0.47/0.66  ;          294 (97%) are still being kept.
% 0.47/0.66  ; 
% 0.47/0.66  ; Run time in seconds:
% 0.47/0.66  ;     0.106  58%   Read assertion file          (1 call)
% 0.47/0.66  ;     0.014   8%   Assert                       (478 calls)
% 0.47/0.66  ;     0.020  11%   Process new row              (367 calls)
% 0.47/0.66  ;     0.006   3%   Condensing                   (335 calls)
% 0.47/0.66  ;     0.003   2%   Forward subsumption          (335 calls)
% 0.47/0.66  ;     0.004   2%   Backward subsumption         (283 calls)
% 0.47/0.66  ;     0.002   1%   Clause clause subsumption    (463 calls)
% 0.47/0.66  ;     0.007   4%   Forward simplification       (363 calls)
% 0.47/0.66  ;     0.001   1%   Backward simplification      (302 calls)
% 0.47/0.66  ;     0.000   0%   Ordering                     (7 calls)
% 0.47/0.66  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.47/0.66  ;     0.002   1%   Purity testing               (1 call)
% 0.47/0.66  ;     0.019  10%   Other
% 0.47/0.66  ;     0.184        Total
% 0.47/0.66  ;     0.185        Real time
% 0.47/0.66  ; 
% 0.47/0.66  ; Term-hash-array has 471 terms in all.
% 0.47/0.66  ; Feature-vector-row-index has 278 entries (279 at peak, 283 added, 5 deleted).
% 0.47/0.66  ; Feature-vector-row-index has 831 nodes (851 at peak, 859 added, 28 deleted).
% 0.47/0.66  ;  Retrieved 365 possibly forward subsuming rows in 335 calls.
% 0.47/0.66  ;  Retrieved 429 possibly backward subsumed rows in 283 calls.
% 0.47/0.66  ; Path-index has 468 entries (474 at peak, 493 added, 25 deleted).
% 0.47/0.66  ; Path-index has 1,166 nodes (1,178 at peak, 1,181 added, 15 deleted).
% 0.47/0.66  ; Trie-index has 468 entries (474 at peak, 493 added, 25 deleted).
% 0.47/0.66  ; Trie-index has 1,714 nodes (1,754 at peak, 1,793 added, 79 deleted).
% 0.47/0.66  ; Retrieved 27 generalization terms in 885 calls.
% 0.47/0.66  ; Retrieved 52 instance terms in 20 calls.
% 0.47/0.66  ; 
% 0.47/0.66  ; The agenda of input rows to process has 102 entries:
% 0.47/0.66  ;   102 with value 0
% 0.47/0.66  ; The agenda of backward simplifiable rows to process has 1 entry:
% 0.47/0.66  ;     1 with value 0
% 0.47/0.66  ; The agenda of input rows to give has 293 entries:
% 0.47/0.66  ;     1 with value 1               7 with value 17               3 with value 28
% 0.47/0.66  ;     3 with value 5              17 with value 18               5 with value 29
% 0.47/0.66  ;     2 with value 6              21 with value 19              13 with value 30
% 0.47/0.66  ;     3 with value 7              16 with value 20               3 with value 31
% 0.47/0.66  ;     4 with value 8              20 with value 21               1 with value 33
% 0.47/0.66  ;     2 with value 10              6 with value 22               6 with value 34
% 0.47/0.66  ;     4 with value 11              4 with value 23               4 with value 36
% 0.47/0.66  ;     4 with value 12             16 with value 24               4 with value 37
% 0.47/0.66  ;    23 with value 13             15 with value 25               9 with value 38
% 0.47/0.66  ;    18 with value 14              4 with value 26               4 with value 40
% 0.47/0.66  ;     7 with value 15             38 with value 27               1 with value 46
% 0.47/0.66  ;     5 with value 16
% 0.47/0.66  Evaluation took:
% 0.47/0.66    0.185 seconds of real time
% 0.47/0.66    0.17698 seconds of user run time
% 0.47/0.66    0.008105 seconds of system run time
% 0.47/0.66    0 calls to %EVAL
% 0.47/0.66    0 page faults and
% 0.47/0.66    10,461,344 bytes consed.
% 0.47/0.66  :PROOF-FOUND
% 0.47/0.66  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-08T19:26:21
% 0.47/0.66  :PROOF-FOUND
% 0.47/0.66  * 
%------------------------------------------------------------------------------