TSTP Solution File: LCL756-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL756-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n016.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 14:25:47 EDT 2022

% Result   : Unsatisfiable 0.56s 0.73s
% Output   : Refutation 0.56s
% 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    :    4 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-3 aty)
%            Number of variables   :    2 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_1,negated_conjecture,
    c_InductTermi_OIT(c_Lambda_Osubst(v_ra,c_Lambda_OdB_OVar(X),Y)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(cls_conjecture_2,negated_conjecture,
    ~ c_InductTermi_OIT(c_Lambda_Osubst(v_ra,c_Lambda_OdB_OVar(c_Suc(v_ia)),c_Suc(v_ja))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(507,plain,
    $false,
    inference('REWRITE',[status(thm)],[cls_conjecture_2,cls_conjecture_1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : LCL756-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n016.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 : Sun Jul  3 01:02:14 EDT 2022
% 0.14/0.34  % 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 2022-07-03T01:02:14
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n016.cluster.edu at 2022-07-03T01:02:14
% 0.48/0.64  
% 0.48/0.64  ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 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.
% 0.48/0.64  WARNING:
% 0.48/0.64     |class_Ring__and__Field_Oordered__idom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.64  WARNING:
% 0.48/0.64     |class_Ring__and__Field_Oring__no__zero__divisors| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.64  WARNING:
% 0.48/0.64     |class_Divides_Oring__div| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.64  WARNING:
% 0.48/0.64     |class_OrderedGroup_Olordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.64  WARNING:
% 0.48/0.64     |class_OrderedGroup_Opordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.64  WARNING:
% 0.48/0.64     |class_Ring__and__Field_Oring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.64  WARNING:
% 0.48/0.64     |class_OrderedGroup_Ogroup__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.64  WARNING:
% 0.48/0.64     |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.64  WARNING:
% 0.48/0.64     |class_Int_Onumber__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.64  WARNING:
% 0.48/0.64     |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.64  WARNING:
% 0.48/0.64     |class_Ring__and__Field_Oordered__ring__strict| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.64  WARNING:
% 0.48/0.64     |class_Ring__and__Field_Opordered__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.56/0.73  ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 0.56/0.73  
% 0.56/0.73  #||
% 0.56/0.73  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.56/0.73  % SZS output start Refutation
% See solution above
% 0.56/0.73  ||#
% 0.56/0.73  
% 0.56/0.73  ; Summary of computation:
% 0.56/0.73  ;       812 formulas have been input or derived (from 1 formulas).
% 0.56/0.73  ;       507 (62%) were retained.  Of these,
% 0.56/0.73  ;           61 (12%) were simplified or subsumed later,
% 0.56/0.73  ;          446 (88%) are still being kept.
% 0.56/0.73  ; 
% 0.56/0.73  ; Run time in seconds excluding printing time:
% 0.56/0.73  ;     0.142  55%   Read assertion file          (1 call)
% 0.56/0.73  ;     0.015   6%   Assert                       (755 calls)
% 0.56/0.73  ;     0.029  11%   Process new row              (709 calls)
% 0.56/0.73  ;     0.007   3%   Condensing                   (469 calls)
% 0.56/0.73  ;     0.012   5%   Forward subsumption          (469 calls)
% 0.56/0.73  ;     0.014   5%   Backward subsumption         (389 calls)
% 0.56/0.73  ;     0.003   1%   Clause clause subsumption    (683 calls)
% 0.56/0.73  ;     0.011   4%   Forward simplification       (588 calls)
% 0.56/0.73  ;     0.004   2%   Backward simplification      (476 calls)
% 0.56/0.73  ;     0.000   0%   Ordering                     (117 calls)
% 0.56/0.73  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.56/0.73  ;     0.002   1%   Purity testing               (1 call)
% 0.56/0.73  ;     0.021   8%   Other
% 0.56/0.73  ;     0.260        Total
% 0.56/0.73  ;     0.261        Real time
% 0.56/0.73  ; 
% 0.56/0.73  ; Term-hash-array has 840 terms in all.
% 0.56/0.73  ; Feature-vector-row-index has 364 entries (364 at peak, 389 added, 25 deleted).
% 0.56/0.73  ; Feature-vector-row-index has 1,144 nodes (1,144 at peak, 1,340 added, 196 deleted).
% 0.56/0.73  ;  Retrieved 474 possibly forward subsuming rows in 469 calls.
% 0.56/0.73  ;  Retrieved 310 possibly backward subsumed rows in 389 calls.
% 0.56/0.73  ; Path-index has 765 entries (765 at peak, 851 added, 86 deleted).
% 0.56/0.73  ; Path-index has 1,996 nodes (1,996 at peak, 2,102 added, 106 deleted).
% 0.56/0.73  ; Trie-index has 765 entries (765 at peak, 851 added, 86 deleted).
% 0.56/0.73  ; Trie-index has 2,609 nodes (2,609 at peak, 3,000 added, 391 deleted).
% 0.56/0.73  ; Retrieved 489 generalization terms in 1,987 calls.
% 0.56/0.73  ; Retrieved 276 instance terms in 102 calls.
% 0.56/0.73  ; 
% 0.56/0.73  ; The agenda of input rows to process has 30 entries:
% 0.56/0.73  ;    30 with value 0
% 0.56/0.73  ; The agenda of backward simplifiable rows to process has 26 entries:
% 0.56/0.73  ;    26 with value 0
% 0.56/0.73  ; The agenda of input rows to give has 445 entries:
% 0.56/0.73  ;     1 with value 3              30 with value 14              26 with value 24
% 0.56/0.73  ;     2 with value 5              15 with value 15              12 with value 25
% 0.56/0.73  ;     2 with value 6              18 with value 16               3 with value 26
% 0.56/0.73  ;     6 with value 7              39 with value 17              38 with value 27
% 0.56/0.73  ;    10 with value 8              34 with value 18               4 with value 28
% 0.56/0.73  ;    11 with value 9               8 with value 19               1 with value 29
% 0.56/0.73  ;    10 with value 10             17 with value 20               1 with value 31
% 0.56/0.73  ;    24 with value 11             34 with value 21               4 with value 32
% 0.56/0.73  ;    19 with value 12             21 with value 22               6 with value 39
% 0.56/0.73  ;    36 with value 13             11 with value 23               2 with value 43
% 0.56/0.73  Evaluation took:
% 0.56/0.73    0.261 seconds of real time
% 0.56/0.73    0.253947 seconds of user run time
% 0.56/0.73    0.007371 seconds of system run time
% 0.56/0.73    [Run times include 0.008 seconds GC run time.]
% 0.56/0.73    0 calls to %EVAL
% 0.56/0.73    0 page faults and
% 0.56/0.73    15,590,400 bytes consed.
% 0.56/0.73  :PROOF-FOUND
% 0.56/0.73  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T01:02:15
% 0.56/0.73  :PROOF-FOUND
% 0.56/0.73  * 
%------------------------------------------------------------------------------