TSTP Solution File: ALG369-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : ALG369-1 : 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 18:00:39 EDT 2022

% Result   : Unsatisfiable 0.60s 0.79s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    7 (   5 unt;   0 nHn;   7 RR)
%            Number of literals    :   12 (   0 equ;   7 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   2 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-3 aty)
%            Number of variables   :    2 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_that_0,axiom,
    ( v_thesis____
    | ~ c_HOL_Oord__class_Oless(X,c_HOL_Oinverse__class_Odivide(v_e,v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X,tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_that_0) ).

cnf(cls_CHAINED_2,axiom,
    c_HOL_Oord__class_Oless(v_sko__CHAINED__1(v_e,v_m____),c_HOL_Oinverse__class_Odivide(v_e,v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_2) ).

cnf(cls_CHAINED_1,axiom,
    c_HOL_Oord__class_Oless(v_sko__CHAINED__1(v_e,v_m____),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_1) ).

cnf(cls_CHAINED_0,axiom,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__CHAINED__1(v_e,v_m____),tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).

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

cnf(554,plain,
    ( ~ c_HOL_Oord__class_Oless(X,c_HOL_Oinverse__class_Odivide(v_e,v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X,tc_RealDef_Oreal) ),
    inference('REWRITE',[status(thm)],[cls_that_0,cls_conjecture_0]) ).

cnf(711,plain,
    $false,
    inference('HYPERRESOLVE',[status(thm)],[554,cls_CHAINED_2,cls_CHAINED_1,cls_CHAINED_0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : ALG369-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n023.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Wed Jun  8 16:13:08 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 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 2022-06-08T16:13:08
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-08T16:13:08
% 0.48/0.64  WARNING:
% 0.48/0.64     |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.60/0.79  
% 0.60/0.79  
% 0.60/0.79  #||
% 0.60/0.79  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.60/0.79  % SZS output start Refutation
% See solution above
% 0.60/0.79  ||#
% 0.60/0.79  
% 0.60/0.79  ; Summary of computation:
% 0.60/0.79  ;      1357 formulas have been input or derived (from 299 formulas).
% 0.60/0.79  ;       711 (52%) were retained.  Of these,
% 0.60/0.79  ;           12 ( 2%) were simplified or subsumed later,
% 0.60/0.79  ;          699 (98%) are still being kept.
% 0.60/0.79  ; 
% 0.60/0.79  ; Run time in seconds excluding printing time:
% 0.60/0.79  ;     0.144  46%   Read assertion file          (1 call)
% 0.60/0.79  ;     0.012   4%   Assert                       (626 calls)
% 0.60/0.79  ;     0.047  15%   Process new row              (1,169 calls)
% 0.60/0.79  ;     0.018   6%   Resolution                   (596 calls)
% 0.60/0.79  ;     0.003   1%   Paramodulation               (298 calls)
% 0.60/0.79  ;     0.011   4%   Condensing                   (557 calls)
% 0.60/0.79  ;     0.011   4%   Forward subsumption          (557 calls)
% 0.60/0.79  ;     0.005   2%   Backward subsumption         (492 calls)
% 0.60/0.79  ;     0.012   4%   Clause clause subsumption    (821 calls)
% 0.60/0.79  ;     0.011   4%   Forward simplification       (1,167 calls)
% 0.60/0.79  ;     0.004   1%   Backward simplification      (711 calls)
% 0.60/0.79  ;     0.003   1%   Ordering                     (299 calls)
% 0.60/0.79  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.60/0.79  ;     0.001   0%   Purity testing               (1 call)
% 0.60/0.79  ;     0.030  10%   Other
% 0.60/0.79  ;     0.312        Total
% 0.60/0.79  ;     0.314        Real time
% 0.60/0.79  ; 
% 0.60/0.79  ; Term-hash-array has 929 terms in all.
% 0.60/0.79  ; Feature-vector-row-index has 483 entries (483 at peak, 492 added, 9 deleted).
% 0.60/0.79  ; Feature-vector-row-index has 1,395 nodes (1,395 at peak, 1,424 added, 29 deleted).
% 0.60/0.79  ;  Retrieved 695 possibly forward subsuming rows in 557 calls.
% 0.60/0.79  ;  Retrieved 601 possibly backward subsumed rows in 492 calls.
% 0.60/0.79  ; Path-index has 920 entries (922 at peak, 937 added, 17 deleted).
% 0.60/0.79  ; Path-index has 2,114 nodes (2,116 at peak, 2,135 added, 21 deleted).
% 0.60/0.79  ; Trie-index has 920 entries (922 at peak, 937 added, 17 deleted).
% 0.60/0.79  ; Trie-index has 3,212 nodes (3,222 at peak, 3,287 added, 75 deleted).
% 0.60/0.79  ; Retrieved 788 generalization terms in 1,641 calls.
% 0.60/0.79  ; Retrieved 272 instance terms in 226 calls.
% 0.60/0.79  ; Retrieved 30,984 unifiable terms in 2,159 calls.
% 0.60/0.79  ; 
% 0.60/0.79  ; The agenda of rows to process has 4 entries:
% 0.60/0.79  ;     1 with value 9               2 with value 10               1 with value 12
% 0.60/0.79  ; The agenda of input rows to give has 247 entries:
% 0.60/0.79  ;    20 with value 24              5 with value 31               5 with value 37
% 0.60/0.79  ;    29 with value 25              2 with value 32              17 with value 38
% 0.60/0.79  ;     8 with value 26              3 with value 33               9 with value 39
% 0.60/0.79  ;    83 with value 27              3 with value 34               9 with value 40
% 0.60/0.79  ;     5 with value 28              4 with value 35               2 with value 42
% 0.60/0.79  ;     7 with value 29              9 with value 36               1 with value 46
% 0.60/0.79  ;    26 with value 30
% 0.60/0.79  ; The agenda of rows to give has 153 entries:
% 0.60/0.79  ;     1 with value (4 6)          14 with value (4 12)           4 with value (4 17)
% 0.60/0.79  ;    10 with value (4 8)          21 with value (4 13)           4 with value (4 18)
% 0.60/0.79  ;     9 with value (4 9)           6 with value (4 14)          12 with value (4 19)
% 0.60/0.79  ;    21 with value (4 10)         16 with value (4 15)           1 with value (4 20)
% 0.60/0.79  ;    27 with value (4 11)          6 with value (4 16)           1 with value (4 21)
% 0.60/0.79  Evaluation took:
% 0.60/0.79    0.314 seconds of real time
% 0.60/0.79    0.298095 seconds of user run time
% 0.60/0.79    0.01608 seconds of system run time
% 0.60/0.79    [Run times include 0.008 seconds GC run time.]
% 0.60/0.79    0 calls to %EVAL
% 0.60/0.79    0 page faults and
% 0.60/0.79    18,036,944 bytes consed.
% 0.60/0.79  :PROOF-FOUND
% 0.60/0.79  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-08T16:13:08
% 0.60/0.79  :PROOF-FOUND
% 0.60/0.79  * 
%------------------------------------------------------------------------------