TSTP Solution File: LCL770-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL770-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n021.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 : Sun Jul 17 14:25:55 EDT 2022

% Result   : Unsatisfiable 0.47s 0.70s
% Output   : Refutation 0.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    2
% Syntax   : Number of clauses     :    3 (   3 unt;   0 nHn;   2 RR)
%            Number of literals    :    3 (   0 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :    1 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Var__IT_0,axiom,
    hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(X))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Var__IT_0) ).

cnf(cls_conjecture_2,negated_conjecture,
    ~ hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(v_i))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(376,plain,
    $false,
    inference('REWRITE',[status(thm)],[cls_conjecture_2,cls_Var__IT_0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : LCL770-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n021.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 : Sun Jul  3 12:43:46 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.21/0.47  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.48  * 
% 0.21/0.48  * 
% 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/sandbox2/benchmark/theBenchmark.p 2022-07-03T12:43:46
% 0.21/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-07-03T12:43:46
% 0.43/0.61  
% 0.43/0.61  ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 0.43/0.62  WARNING:
% 0.43/0.62     |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.62  WARNING:
% 0.43/0.62     |class_Ring__and__Field_Oordered__ring__strict| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.62  WARNING:
% 0.43/0.62     |class_OrderedGroup_Olordered__ab__group__add__meet| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.62  WARNING:
% 0.43/0.62     |class_Ring__and__Field_Oordered__idom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.62  WARNING:
% 0.43/0.62     |class_Ring__and__Field_Oring__no__zero__divisors| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.62  WARNING:
% 0.43/0.62     |class_Int_Onumber__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.62  WARNING:
% 0.43/0.62     |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.62  WARNING:
% 0.43/0.62     |class_OrderedGroup_Olordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.62  WARNING:
% 0.43/0.62     |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.70  ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 0.47/0.70  
% 0.47/0.70  #||
% 0.47/0.70  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.47/0.70  % SZS output start Refutation
% See solution above
% 0.47/0.70  ||#
% 0.47/0.70  
% 0.47/0.70  ; Summary of computation:
% 0.47/0.70  ;       578 formulas have been input or derived (from 1 formulas).
% 0.47/0.70  ;       376 (65%) were retained.  Of these,
% 0.47/0.70  ;           26 ( 7%) were simplified or subsumed later,
% 0.47/0.70  ;          350 (93%) are still being kept.
% 0.47/0.70  ; 
% 0.47/0.70  ; Run time in seconds excluding printing time:
% 0.47/0.70  ;     0.110  51%   Read assertion file          (1 call)
% 0.47/0.70  ;     0.011   5%   Assert                       (557 calls)
% 0.47/0.70  ;     0.027  12%   Process new row              (508 calls)
% 0.47/0.70  ;     0.007   3%   Condensing                   (315 calls)
% 0.47/0.70  ;     0.014   6%   Forward subsumption          (315 calls)
% 0.47/0.70  ;     0.005   2%   Backward subsumption         (275 calls)
% 0.47/0.70  ;     0.002   1%   Clause clause subsumption    (295 calls)
% 0.47/0.70  ;     0.015   7%   Forward simplification       (453 calls)
% 0.47/0.70  ;     0.003   1%   Backward simplification      (370 calls)
% 0.47/0.70  ;     0.002   1%   Ordering                     (197 calls)
% 0.47/0.70  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.47/0.70  ;     0.001   0%   Purity testing               (1 call)
% 0.47/0.70  ;     0.019   9%   Other
% 0.47/0.70  ;     0.216        Total
% 0.47/0.70  ;     0.217        Real time
% 0.47/0.70  ; 
% 0.47/0.70  ; Term-hash-array has 1,024 terms in all.
% 0.47/0.70  ; Feature-vector-row-index has 266 entries (266 at peak, 275 added, 9 deleted).
% 0.47/0.70  ; Feature-vector-row-index has 1,936 nodes (1,940 at peak, 1,994 added, 58 deleted).
% 0.47/0.70  ;  Retrieved 197 possibly forward subsuming rows in 315 calls.
% 0.47/0.70  ;  Retrieved 142 possibly backward subsumed rows in 275 calls.
% 0.47/0.70  ; Path-index has 972 entries (972 at peak, 1,045 added, 73 deleted).
% 0.47/0.70  ; Path-index has 3,022 nodes (3,022 at peak, 3,115 added, 93 deleted).
% 0.47/0.70  ; Trie-index has 972 entries (972 at peak, 1,045 added, 73 deleted).
% 0.47/0.70  ; Trie-index has 3,466 nodes (3,466 at peak, 3,779 added, 313 deleted).
% 0.47/0.70  ; Retrieved 214 generalization terms in 1,869 calls.
% 0.47/0.70  ; Retrieved 250 instance terms in 120 calls.
% 0.47/0.70  ; 
% 0.47/0.70  ; The agenda of input rows to process has 37 entries:
% 0.47/0.70  ;    37 with value 0
% 0.47/0.70  ; The agenda of backward simplifiable rows to process has 15 entries:
% 0.47/0.70  ;    15 with value 0
% 0.47/0.70  ; The agenda of input rows to give has 349 entries:
% 0.47/0.70  ;     1 with value 5              20 with value 19               7 with value 33
% 0.47/0.70  ;     1 with value 6               6 with value 20               4 with value 34
% 0.47/0.70  ;     4 with value 7              26 with value 21               1 with value 35
% 0.47/0.70  ;     8 with value 8              11 with value 22               3 with value 36
% 0.47/0.70  ;     3 with value 9              12 with value 23               3 with value 37
% 0.47/0.70  ;     5 with value 10             15 with value 24               3 with value 38
% 0.47/0.70  ;    14 with value 11              5 with value 25               2 with value 42
% 0.47/0.70  ;    11 with value 12             11 with value 26               1 with value 44
% 0.47/0.70  ;    11 with value 13             25 with value 27               3 with value 45
% 0.47/0.70  ;    15 with value 14             14 with value 28               2 with value 46
% 0.47/0.70  ;    14 with value 15              2 with value 29               1 with value 47
% 0.47/0.70  ;    12 with value 16             10 with value 30               2 with value 50
% 0.47/0.70  ;    19 with value 17              6 with value 31               3 with value 51
% 0.47/0.70  ;    21 with value 18             11 with value 32               1 with value 52
% 0.47/0.70  Evaluation took:
% 0.47/0.70    0.218 seconds of real time
% 0.47/0.70    0.198516 seconds of user run time
% 0.47/0.70    0.019013 seconds of system run time
% 0.47/0.70    [Run times include 0.008 seconds GC run time.]
% 0.47/0.70    0 calls to %EVAL
% 0.47/0.70    0 page faults and
% 0.47/0.70    13,399,896 bytes consed.
% 0.47/0.70  :PROOF-FOUND
% 0.47/0.70  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-03T12:43:46
% 0.47/0.70  :PROOF-FOUND
% 0.47/0.70  * 
%------------------------------------------------------------------------------