TSTP Solution File: SWV675-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV675-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n009.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 : Wed Jul 20 21:35:40 EDT 2022

% Result   : Unsatisfiable 0.77s 0.97s
% Output   : Refutation 0.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    4 (   3 unt;   0 nHn;   4 RR)
%            Number of literals    :    5 (   0 equ;   2 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-1 aty)
%            Number of variables   :    3 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_not__less0_0,axiom,
    ~ c_HOL_Oord__class_Oless(X,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__less0_0) ).

cnf(cls_less__eq__Suc__le_1,axiom,
    ( c_HOL_Oord__class_Oless(X,Y,tc_nat)
    | ~ c_lessequals(c_Suc(X),Y,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__eq__Suc__le_1) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_lessequals(c_Suc(v_y),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(1014,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[cls_less__eq__Suc__le_1,cls_not__less0_0,cls_conjecture_0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV675-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n009.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 15 11:25:53 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.21/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.47  * 
% 0.21/0.47  * 
% 0.21/0.48  #<PACKAGE "SNARK-USER">
% 0.21/0.48  * 
% 0.21/0.48  SNARK-TPTP-OPTIONS
% 0.21/0.48  * 
% 0.21/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48   (USE-FACTORING :POS)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48  * 
% 0.21/0.48  "."
% 0.21/0.48  * 
% 0.21/0.48  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T11:25:53
% 0.21/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n009.cluster.edu at 2022-06-15T11:25:53
% 0.61/0.78  
% 0.61/0.78  ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 0.61/0.79  WARNING:
% 0.61/0.79     |class_RealVector_Oreal__normed__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.61/0.79  WARNING:
% 0.61/0.79     |class_RealVector_Oreal__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.61/0.79  WARNING:
% 0.61/0.79     |class_RealVector_Oreal__normed__algebra| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.61/0.79  WARNING:
% 0.61/0.79     |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.61/0.79  WARNING:
% 0.61/0.79     |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.61/0.79  WARNING:
% 0.61/0.79     |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.77/0.97  ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 0.77/0.97  
% 0.77/0.97  #||
% 0.77/0.97  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.77/0.97  % SZS output start Refutation
% See solution above
% 0.77/0.97  ||#
% 0.77/0.97  
% 0.77/0.97  ; Summary of computation:
% 0.77/0.97  ;      1725 formulas have been input or derived (from 204 formulas).
% 0.77/0.97  ;      1014 (59%) were retained.  Of these,
% 0.77/0.97  ;           62 ( 6%) were simplified or subsumed later,
% 0.77/0.97  ;          952 (94%) are still being kept.
% 0.77/0.97  ; 
% 0.77/0.97  ; Run time in seconds excluding printing time:
% 0.77/0.97  ;     0.270  55%   Read assertion file          (1 call)
% 0.77/0.97  ;     0.030   6%   Assert                       (1,389 calls)
% 0.77/0.97  ;     0.062  13%   Process new row              (1,606 calls)
% 0.77/0.97  ;     0.009   2%   Resolution                   (406 calls)
% 0.77/0.97  ;     0.002   0%   Paramodulation               (203 calls)
% 0.77/0.97  ;     0.000   0%   Factoring                    (3 calls)
% 0.77/0.97  ;     0.009   2%   Condensing                   (874 calls)
% 0.77/0.97  ;     0.020   4%   Forward subsumption          (874 calls)
% 0.77/0.97  ;     0.023   5%   Backward subsumption         (744 calls)
% 0.77/0.97  ;     0.005   1%   Clause clause subsumption    (1,115 calls)
% 0.77/0.97  ;     0.024   5%   Forward simplification       (1,328 calls)
% 0.77/0.97  ;     0.003   1%   Backward simplification      (1,002 calls)
% 0.77/0.97  ;     0.000   0%   Ordering                     (279 calls)
% 0.77/0.97  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.77/0.97  ;     0.004   1%   Purity testing               (1 call)
% 0.77/0.97  ;     0.026   5%   Other
% 0.77/0.97  ;     0.487        Total
% 0.77/0.97  ;     0.488        Real time
% 0.77/0.97  ; 
% 0.77/0.97  ; Term-hash-array has 1,478 terms in all.
% 0.77/0.97  ; Feature-vector-row-index has 701 entries (701 at peak, 744 added, 43 deleted).
% 0.77/0.97  ; Feature-vector-row-index has 2,527 nodes (2,527 at peak, 2,873 added, 346 deleted).
% 0.77/0.97  ;  Retrieved 1,259 possibly forward subsuming rows in 874 calls.
% 0.77/0.97  ;  Retrieved 702 possibly backward subsumed rows in 744 calls.
% 0.77/0.97  ; Path-index has 1,409 entries (1,409 at peak, 1,515 added, 106 deleted).
% 0.77/0.97  ; Path-index has 3,814 nodes (3,814 at peak, 3,928 added, 114 deleted).
% 0.77/0.97  ; Trie-index has 1,409 entries (1,409 at peak, 1,515 added, 106 deleted).
% 0.77/0.97  ; Trie-index has 4,993 nodes (4,993 at peak, 5,408 added, 415 deleted).
% 0.77/0.97  ; Retrieved 864 generalization terms in 3,461 calls.
% 0.77/0.97  ; Retrieved 570 instance terms in 268 calls.
% 0.77/0.97  ; Retrieved 9,656 unifiable terms in 957 calls.
% 0.77/0.97  ; 
% 0.77/0.97  ; The agenda of rows to process has 16 entries:
% 0.77/0.97  ;     5 with value 8               1 with value 10               3 with value 13
% 0.77/0.97  ;     1 with value 9               6 with value 12
% 0.77/0.97  ; The agenda of input rows to give has 680 entries:
% 0.77/0.97  ;    15 with value 12             19 with value 23               8 with value 34
% 0.77/0.97  ;    44 with value 13             44 with value 24               8 with value 35
% 0.77/0.97  ;    45 with value 14             28 with value 25               2 with value 36
% 0.77/0.97  ;    29 with value 15             16 with value 26               5 with value 37
% 0.77/0.97  ;    30 with value 16             83 with value 27               1 with value 38
% 0.77/0.97  ;    44 with value 17              6 with value 28              15 with value 39
% 0.77/0.97  ;    52 with value 18              7 with value 29               4 with value 42
% 0.77/0.97  ;    30 with value 19              7 with value 30               5 with value 43
% 0.77/0.97  ;    43 with value 20              2 with value 31               8 with value 44
% 0.77/0.97  ;    45 with value 21              5 with value 32               2 with value 46
% 0.77/0.97  ;    22 with value 22              5 with value 33               1 with value 49
% 0.77/0.97  ; The agenda of rows to give has 68 entries:
% 0.77/0.97  ;    28 with value (4 4)          11 with value (4 10)           3 with value (4 13)
% 0.77/0.97  ;     3 with value (4 6)           2 with value (4 11)           1 with value (4 15)
% 0.77/0.97  ;     7 with value (4 8)           3 with value (4 12)           2 with value (4 17)
% 0.77/0.97  ;     8 with value (4 9)
% 0.77/0.97  Evaluation took:
% 0.77/0.97    0.489 seconds of real time
% 0.77/0.97    0.463069 seconds of user run time
% 0.77/0.97    0.025724 seconds of system run time
% 0.77/0.97    [Run times include 0.014 seconds GC run time.]
% 0.77/0.97    0 calls to %EVAL
% 0.77/0.97    0 page faults and
% 0.77/0.97    31,098,696 bytes consed.
% 0.77/0.97  :PROOF-FOUND
% 0.77/0.97  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T11:25:53
% 0.77/0.97  :PROOF-FOUND
% 0.77/0.97  * 
%------------------------------------------------------------------------------