TSTP Solution File: LCL830-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL830-1 : 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 : Sun Jul 17 14:26:30 EDT 2022

% Result   : Unsatisfiable 0.56s 0.78s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    8 (   8 unt;   0 nHn;   4 RR)
%            Number of literals    :    8 (   4 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   16 (  16 usr;   8 con; 0-5 aty)
%            Number of variables   :   19 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_rev__eq__Cons__iff_1,axiom,
    c_List_Orev(c_List_Oappend(c_List_Orev(X,Y),c_List_Olist_OCons(Z,c_List_Olist_ONil(Y),Y),Y),Y) = c_List_Olist_OCons(Z,X,Y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__eq__Cons__iff_1) ).

cnf(cls_COMBC__def_0,axiom,
    hAPP(c_COMBC(X,Y,Z,U,V),W) = hAPP(hAPP(X,W),Y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_COMBC__def_0) ).

cnf(cls_map__eq__Cons__conv_3,axiom,
    c_List_Omap(X,c_List_Olist_OCons(Y,Z,U),U,V) = c_List_Olist_OCons(hAPP(X,Y),c_List_Omap(X,Z,U,V),V),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map__eq__Cons__conv_3) ).

cnf(405,plain,
    c_List_Omap(X,c_List_Olist_OCons(Y,Z,U),U,V) = c_List_Orev(c_List_Oappend(c_List_Orev(c_List_Omap(X,Z,U,V),V),c_List_Olist_OCons(hAPP(X,Y),c_List_Olist_ONil(V),V),V),V),
    inference('REWRITE',[status(thm)],[cls_map__eq__Cons__conv_3,cls_rev__eq__Cons__iff_1,theory(equality)]) ).

cnf(cls_CHAINED_0,axiom,
    c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_OCons(hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),v_u____),v_i____),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).

cnf(409,plain,
    c_List_Olistsp(c_InductTermi_OIT,c_List_Orev(c_List_Oappend(c_List_Orev(c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),c_List_Olist_OCons(hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),v_u____),v_i____),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),
    inference('REWRITE',[status(thm)],[cls_CHAINED_0,cls_rev__eq__Cons__iff_1,theory(equality)]) ).

cnf(cls_conjecture_0,negated_conjecture,
    ~ c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Olist_OCons(v_a____,v_as____,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(411,plain,
    $false,
    inference('REWRITE',[status(thm)],[cls_conjecture_0,409,cls_COMBC__def_0,405,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : LCL830-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.14  % Command  : run-snark %s %d
% 0.14/0.35  % Computer : n029.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Sun Jul  3 06:36:40 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.20/0.49  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.51  * 
% 0.20/0.51  * 
% 0.20/0.51  #<PACKAGE "SNARK-USER">
% 0.20/0.51  * 
% 0.20/0.52  SNARK-TPTP-OPTIONS
% 0.20/0.52  * 
% 0.20/0.52  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.52   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.52   (USE-FACTORING :POS)
% 0.20/0.52   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.52   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.52   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.52   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.52   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.52   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.52   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.52   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.52   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.52   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.52  * 
% 0.20/0.52  "."
% 0.20/0.52  * 
% 0.20/0.52  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T06:36:40
% 0.20/0.52  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-07-03T06:36:40
% 0.56/0.78  
% 0.56/0.78  
% 0.56/0.78  #||
% 0.56/0.78  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.56/0.78  % SZS output start Refutation
% See solution above
% 0.56/0.78  ||#
% 0.56/0.78  
% 0.56/0.78  ; Summary of computation:
% 0.56/0.78  ;       510 formulas have been input or derived (from 1 formulas).
% 0.56/0.78  ;       411 (81%) were retained.  Of these,
% 0.56/0.78  ;           27 ( 7%) were simplified or subsumed later,
% 0.56/0.78  ;          384 (93%) are still being kept.
% 0.56/0.78  ; 
% 0.56/0.79  ; Run time in seconds excluding printing time:
% 0.56/0.79  ;     0.115  43%   Read assertion file          (1 call)
% 0.56/0.79  ;     0.016   6%   Assert                       (483 calls)
% 0.56/0.79  ;     0.053  20%   Process new row              (447 calls)
% 0.56/0.79  ;     0.007   3%   Condensing                   (283 calls)
% 0.56/0.79  ;     0.006   2%   Forward subsumption          (283 calls)
% 0.56/0.79  ;     0.009   3%   Backward subsumption         (261 calls)
% 0.56/0.79  ;     0.001   0%   Clause clause subsumption    (150 calls)
% 0.56/0.79  ;     0.017   6%   Forward simplification       (447 calls)
% 0.56/0.79  ;     0.004   2%   Backward simplification      (391 calls)
% 0.56/0.79  ;     0.003   1%   Ordering                     (386 calls)
% 0.56/0.79  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.56/0.79  ;     0.001   0%   Purity testing               (1 call)
% 0.56/0.79  ;     0.033  12%   Other
% 0.56/0.79  ;     0.265        Total
% 0.56/0.79  ;     0.267        Real time
% 0.56/0.79  ; 
% 0.56/0.79  ; Term-hash-array has 1,139 terms in all.
% 0.56/0.79  ; Feature-vector-row-index has 257 entries (257 at peak, 261 added, 4 deleted).
% 0.56/0.79  ; Feature-vector-row-index has 1,203 nodes (1,203 at peak, 1,231 added, 28 deleted).
% 0.56/0.79  ;  Retrieved 120 possibly forward subsuming rows in 283 calls.
% 0.56/0.79  ;  Retrieved 107 possibly backward subsumed rows in 261 calls.
% 0.56/0.79  ; Path-index has 1,132 entries (1,132 at peak, 1,160 added, 28 deleted).
% 0.56/0.79  ; Path-index has 5,256 nodes (5,256 at peak, 5,309 added, 53 deleted).
% 0.56/0.79  ; Trie-index has 1,132 entries (1,132 at peak, 1,160 added, 28 deleted).
% 0.56/0.79  ; Trie-index has 5,161 nodes (5,161 at peak, 5,274 added, 113 deleted).
% 0.56/0.79  ; Retrieved 341 generalization terms in 1,590 calls.
% 0.56/0.79  ; Retrieved 245 instance terms in 161 calls.
% 0.56/0.79  ; 
% 0.56/0.79  ; The agenda of input rows to process has 31 entries:
% 0.56/0.79  ;    31 with value 0
% 0.56/0.79  ; The agenda of backward simplifiable rows to process has 7 entries:
% 0.56/0.79  ;     7 with value 0
% 0.56/0.79  ; The agenda of input rows to give has 383 entries:
% 0.56/0.79  ;     1 with value 4              26 with value 19               4 with value 34
% 0.56/0.79  ;     3 with value 5              10 with value 20               2 with value 35
% 0.56/0.79  ;     4 with value 6              23 with value 21               2 with value 36
% 0.56/0.79  ;     5 with value 7              13 with value 22               2 with value 37
% 0.56/0.79  ;     6 with value 8               8 with value 23               1 with value 38
% 0.56/0.79  ;     9 with value 9               9 with value 24               1 with value 40
% 0.56/0.79  ;     8 with value 10             11 with value 25               2 with value 41
% 0.56/0.79  ;    21 with value 11             10 with value 26               5 with value 43
% 0.56/0.79  ;    25 with value 12              4 with value 27               2 with value 45
% 0.56/0.79  ;    12 with value 13             11 with value 28               2 with value 47
% 0.56/0.79  ;    21 with value 14              2 with value 29               1 with value 48
% 0.56/0.79  ;    30 with value 15              7 with value 30               2 with value 49
% 0.56/0.79  ;    16 with value 16              1 with value 31               2 with value 50
% 0.56/0.79  ;    17 with value 17              5 with value 32               1 with value 77
% 0.56/0.79  ;    28 with value 18              8 with value 33
% 0.56/0.79  Evaluation took:
% 0.56/0.79    0.269 seconds of real time
% 0.56/0.79    0.251499 seconds of user run time
% 0.56/0.79    0.016877 seconds of system run time
% 0.56/0.79    0 calls to %EVAL
% 0.56/0.79    0 page faults and
% 0.56/0.79    12,073,792 bytes consed.
% 0.56/0.79  :PROOF-FOUND
% 0.56/0.79  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T06:36:41
% 0.56/0.79  :PROOF-FOUND
% 0.56/0.79  * 
%------------------------------------------------------------------------------