TSTP Solution File: LCL795-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL795-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n011.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 14:26:08 EDT 2022

% Result   : Unsatisfiable 0.81s 1.01s
% Output   : Refutation 0.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    6 (   5 unt;   0 nHn;   5 RR)
%            Number of literals    :    7 (   1 equ;   3 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;   9 con; 0-5 aty)
%            Number of variables   :    5 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_uT_0,axiom,
    c_Type_Otyping(v_e____,v_u____,v_T____),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_uT_0) ).

cnf(cls_T_0,axiom,
    v_T____ = hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_T_0) ).

cnf(cls_lift__type_0,axiom,
    ( c_Type_Otyping(c_Type_Oshift(X,Y,Z,tc_Type_Otype),c_Lambda_Olift(U,Y),V)
    | ~ c_Type_Otyping(X,U,V) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_lift__type_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(604,plain,
    ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),v_T____),
    inference('REWRITE',[status(thm)],[cls_conjecture_0,cls_T_0,theory(equality)]) ).

cnf(1165,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[cls_lift__type_0,604,cls_uT_0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL795-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n011.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 : Mon Jul  4 16:37:36 EDT 2022
% 0.13/0.34  % 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  * 
% 0.20/0.48  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T16:37:36
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-07-04T16:37:36
% 0.49/0.65  
% 0.49/0.65  ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 0.51/0.66  WARNING:
% 0.51/0.66     |class_Ring__and__Field_Oring__no__zero__divisors| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.51/0.66  WARNING:
% 0.51/0.66     |class_Ring__and__Field_Oring__1__no__zero__divisors| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.51/0.66  WARNING:
% 0.51/0.66     |class_Ring__and__Field_Oring__1| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.51/0.66  WARNING:
% 0.51/0.66     |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.51/0.66  WARNING:
% 0.51/0.66     |class_Ring__and__Field_Oordered__idom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.51/0.66  WARNING:
% 0.51/0.66     |class_Ring__and__Field_Oordered__ring__strict| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.51/0.66  WARNING:
% 0.51/0.66     |class_Ring__and__Field_Opordered__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.51/0.66  WARNING:
% 0.51/0.66     |c_Groebner__Basis_Ogb__semiring| is a 6-ary relation that occurs only negatively; disabling rows that contain it.
% 0.51/0.66  WARNING:
% 0.51/0.66     |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.51/0.66  WARNING:
% 0.51/0.66     |class_OrderedGroup_Ogroup__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.51/0.66  WARNING:
% 0.51/0.66     |class_OrderedGroup_Olordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.51/0.66  WARNING:
% 0.51/0.66     |class_Int_Onumber__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.51/0.66  WARNING:
% 0.51/0.66     |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.51/0.66  WARNING:
% 0.51/0.66     |class_OrderedGroup_Opordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.51/0.66  WARNING:
% 0.51/0.66     |class_Ring__and__Field_Oring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.81/1.01  ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 0.81/1.01  
% 0.81/1.01  #||
% 0.81/1.01  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.81/1.01  % SZS output start Refutation
% See solution above
% 0.81/1.01  ||#
% 0.81/1.01  
% 0.81/1.01  ; Summary of computation:
% 0.81/1.01  ;      3306 formulas have been input or derived (from 261 formulas).
% 0.81/1.01  ;      1165 (35%) were retained.  Of these,
% 0.81/1.01  ;           64 ( 5%) were simplified or subsumed later,
% 0.81/1.01  ;         1101 (95%) are still being kept.
% 0.81/1.01  ; 
% 0.81/1.01  ; Run time in seconds:
% 0.81/1.01  ;     0.156  29%   Read assertion file          (1 call)
% 0.81/1.01  ;     0.016   3%   Assert                       (920 calls)
% 0.81/1.01  ;     0.084  16%   Process new row              (2,753 calls)
% 0.81/1.01  ;     0.069  13%   Resolution                   (520 calls)
% 0.81/1.01  ;     0.007   1%   Paramodulation               (260 calls)
% 0.81/1.01  ;     0.000   0%   Factoring                    (5 calls)
% 0.81/1.01  ;     0.012   2%   Condensing                   (1,026 calls)
% 0.81/1.01  ;     0.017   3%   Forward subsumption          (1,026 calls)
% 0.81/1.01  ;     0.015   3%   Backward subsumption         (624 calls)
% 0.81/1.01  ;     0.017   3%   Clause clause subsumption    (1,529 calls)
% 0.81/1.01  ;     0.055  10%   Forward simplification       (2,595 calls)
% 0.81/1.01  ;     0.010   2%   Backward simplification      (1,134 calls)
% 0.81/1.01  ;     0.040   7%   Ordering                     (3,226 calls)
% 0.81/1.01  ;     0.001   0%   Sortal reasoning             (32 calls)
% 0.81/1.01  ;     0.003   1%   Purity testing               (1 call)
% 0.81/1.01  ;     0.033   6%   Other
% 0.81/1.01  ;     0.535        Total
% 0.81/1.01  ;     0.536        Real time
% 0.81/1.01  ; 
% 0.81/1.01  ; Term-hash-array has 2,175 terms in all.
% 0.81/1.01  ; Feature-vector-row-index has 607 entries (607 at peak, 624 added, 17 deleted).
% 0.81/1.01  ; Feature-vector-row-index has 2,750 nodes (2,750 at peak, 2,918 added, 168 deleted).
% 0.81/1.01  ;  Retrieved 1,710 possibly forward subsuming rows in 1,026 calls.
% 0.81/1.01  ;  Retrieved 475 possibly backward subsumed rows in 624 calls.
% 0.81/1.01  ; Path-index has 2,100 entries (2,100 at peak, 2,220 added, 120 deleted).
% 0.81/1.01  ; Path-index has 8,303 nodes (8,303 at peak, 8,454 added, 151 deleted).
% 0.81/1.01  ; Trie-index has 2,100 entries (2,100 at peak, 2,220 added, 120 deleted).
% 0.81/1.01  ; Trie-index has 9,029 nodes (9,029 at peak, 9,524 added, 495 deleted).
% 0.81/1.01  ; Retrieved 6,798 generalization terms in 10,077 calls.
% 0.81/1.01  ; Retrieved 965 instance terms in 536 calls.
% 0.81/1.01  ; Retrieved 64,379 unifiable terms in 2,340 calls.
% 0.81/1.01  ; 
% 0.81/1.01  ; The agenda of rows to process has 4 entries:
% 0.81/1.01  ;     1 with value 6               1 with value 17               1 with value 18
% 0.81/1.01  ;     1 with value 13
% 0.81/1.01  ; The agenda of input rows to give has 333 entries:
% 0.81/1.01  ;    43 with value 18             41 with value 27               2 with value 36
% 0.81/1.01  ;    22 with value 19             13 with value 28               1 with value 37
% 0.81/1.01  ;     9 with value 20             10 with value 29               2 with value 38
% 0.81/1.01  ;    32 with value 21              9 with value 30               7 with value 39
% 0.81/1.01  ;    29 with value 22             18 with value 31               2 with value 42
% 0.81/1.01  ;    15 with value 23              7 with value 32               1 with value 43
% 0.81/1.01  ;    31 with value 24              2 with value 33               3 with value 50
% 0.81/1.01  ;     8 with value 25              1 with value 34               8 with value 52
% 0.81/1.01  ;    15 with value 26              2 with value 35
% 0.81/1.01  ; The agenda of rows to give has 508 entries:
% 0.81/1.01  ;     1 with value (4 6)          27 with value (4 18)           1 with value (4 30)
% 0.81/1.01  ;     5 with value (4 7)          41 with value (4 19)           2 with value (4 32)
% 0.81/1.01  ;     5 with value (4 8)          32 with value (4 20)           2 with value (4 33)
% 0.81/1.01  ;     7 with value (4 9)          25 with value (4 21)           1 with value (4 34)
% 0.81/1.01  ;    14 with value (4 10)          8 with value (4 22)           4 with value (4 37)
% 0.81/1.01  ;    28 with value (4 11)         11 with value (4 23)           2 with value (4 38)
% 0.81/1.01  ;    15 with value (4 12)         29 with value (4 24)           3 with value (4 40)
% 0.81/1.01  ;    36 with value (4 13)          9 with value (4 25)           3 with value (4 62)
% 0.81/1.01  ;    28 with value (4 14)         19 with value (4 26)           2 with value (4 70)
% 0.81/1.01  ;    37 with value (4 15)          2 with value (4 27)           2 with value (4 97)
% 0.81/1.01  ;    32 with value (4 16)          1 with value (4 28)           2 with value (4 280)
% 0.81/1.01  ;    66 with value (4 17)          6 with value (4 29)
% 0.81/1.01  Evaluation took:
% 0.81/1.01    0.536 seconds of real time
% 0.81/1.01    0.511393 seconds of user run time
% 0.81/1.01    0.025149 seconds of system run time
% 0.81/1.01    [Run times include 0.024 seconds GC run time.]
% 0.81/1.01    0 calls to %EVAL
% 0.81/1.01    0 page faults and
% 0.81/1.01    35,513,328 bytes consed.
% 0.81/1.01  :PROOF-FOUND
% 0.81/1.01  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T16:37:37
% 0.81/1.01  :PROOF-FOUND
% 0.81/1.01  * 
%------------------------------------------------------------------------------