TSTP Solution File: ITP414_1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : ITP001_1 : TPTP v8.1.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n023.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 00:35:16 EDT 2022

% Result   : Theorem 107.27s 107.43s
% Output   : Refutation 107.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    7 (   6 unt;   0 typ;   0 def)
%            Number of atoms       :   27 (   5 equ)
%            Maximal formula atoms :    2 (   3 avg)
%            Number of connectives :    5 (   4   ~;   1   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   19 (  19 fml;   0 var)
%            Number of types       :    0 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   17 (  15 usr;   8 prp; 0-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   13 (   0 sgn  13   !;   0   ?;  13   :)

% Comments : 
%------------------------------------------------------------------------------
cnf(21,negated_conjecture,
    ~ 'thesis$',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture4) ).

tff(22,hypothesis,
    ! [X: 'A_constr_list$',Y: 'Nat$',Z: 'A_TESL_atomic_list$',U: 'A_TESL_atomic_list$'] :
      ( ( 's_2$' != 'pair$'(X,'pair$a'(Y,'pair$b'(Z,U))) )
      | 'thesis$' ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis5) ).

tff(23,plain,
    ! [X: 'A_constr_list$',Y: 'Nat$',Z: 'A_TESL_atomic_list$',U: 'A_TESL_atomic_list$'] : ( 's_2$' != 'pair$'(X,'pair$a'(Y,'pair$b'(Z,U))) ),
    inference('REWRITE',[status(thm)],[22,21]) ).

tff(45,axiom,
    ! [X: 'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$'] : ( X = 'pair$'('SKOLEMAAAU17.A_constr_list$'(X),'pair$a'('SKOLEMAAAU18.Nat$'(X),'SKOLEMAAAU19.A_TESL_atomic_list_a_TESL_atomic_list_prod$'(X))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom22) ).

tff(63,axiom,
    ! [X: 'A_TESL_atomic_list_a_TESL_atomic_list_prod$'] : ( X = 'pair$b'('SKOLEMAAAU59.A_TESL_atomic_list$'(X),'SKOLEMAAAU60.A_TESL_atomic_list$'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom45) ).

tff(1231,plain,
    ! [X: 'A_constr_list$',Y: 'Nat$',Z: 'A_TESL_atomic_list_a_TESL_atomic_list_prod$'] : ( 's_2$' != 'pair$'(X,'pair$a'(Y,Z)) ),
    inference('PARAMODULATE',[status(thm)],[23,63,theory(equality)]) ).

cnf(23198,plain,
    $false,
    inference('HYPERRESOLVE',[status(thm)],[1231,45]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : ITP001_1 : TPTP v8.1.0. Released v8.1.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n023.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 : Thu Jun  2 15:26:26 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 0.20/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48   (USE-FACTORING :POS)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48  * 
% 0.20/0.48  "."
% 0.20/0.48  * 
% 0.20/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-02T15:26:26
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-02T15:26:26
% 0.52/0.71  WARNING:
% 0.52/0.71     |fun_app$s| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.52/0.71  WARNING:
% 0.52/0.71     |wf$d| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.52/0.71  WARNING:
% 0.52/0.71     |preordering_bdd$| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.52/0.71  WARNING:
% 0.52/0.71     |less_eq$a| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.52/0.71  WARNING:
% 0.52/0.71     DECLARE-PROPOSITION is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.52/0.71  WARNING:
% 0.52/0.71     |less_eq$b| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.52/0.71  WARNING:
% 0.52/0.71     |ordering$| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.52/0.71  WARNING:
% 0.52/0.71     |less_eq$c| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.52/0.71  WARNING:
% 0.52/0.71     |preordering$| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.52/0.71  WARNING:
% 0.52/0.71     |partial_preordering$| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 107.27/107.43  
% 107.27/107.43  
% 107.27/107.43  #||
% 107.27/107.43  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 107.27/107.43  % SZS output start Refutation
% See solution above
% 107.27/107.43  ||#
% 107.27/107.43  
% 107.27/107.43  ; Summary of computation:
% 107.27/107.43  ;    140969 formulas have been input or derived (from 1232 formulas).
% 107.27/107.43  ;     23198 (16%) were retained.  Of these,
% 107.27/107.43  ;         2102 ( 9%) were simplified or subsumed later,
% 107.27/107.43  ;        21096 (91%) are still being kept.
% 107.27/107.43  ; 
% 107.27/107.43  ; Run time in seconds excluding printing time:
% 107.27/107.43  ;     0.185   0%   Read assertion file          (1 call)
% 107.27/107.43  ;     0.036   0%   Assert                       (502 calls)
% 107.27/107.43  ;     3.098   3%   Process new row              (118,896 calls)
% 107.27/107.43  ;     6.591   6%   Resolution                   (2,462 calls)
% 107.27/107.43  ;     0.143   0%   Paramodulation               (1,231 calls)
% 107.27/107.43  ;     0.000   0%   Factoring                    (67 calls)
% 107.27/107.43  ;     2.364   2%   Condensing                   (86,080 calls)
% 107.27/107.43  ;    63.948  60%   Forward subsumption          (86,080 calls)
% 107.27/107.43  ;     2.861   3%   Backward subsumption         (21,295 calls)
% 107.27/107.43  ;    14.491  14%   Clause clause subsumption    (1,855,453 calls)
% 107.27/107.43  ;     9.877   9%   Forward simplification       (113,532 calls)
% 107.27/107.43  ;     0.187   0%   Backward simplification      (23,129 calls)
% 107.27/107.43  ;     0.304   0%   Ordering                     (177,203 calls)
% 107.27/107.43  ;     0.002   0%   Ordering ac                  (560 calls)
% 107.27/107.43  ;     2.319   2%   Sortal reasoning             (3,001,320 calls)
% 107.27/107.43  ;     0.004   0%   Purity testing               (1 call)
% 107.27/107.43  ;     0.546   1%   Other
% 107.27/107.43  ;   106.956        Total
% 107.27/107.43  ;   106.955        Real time
% 107.27/107.43  ; 
% 107.27/107.45  ; Term-hash-array has 20,249 terms in all.
% 107.27/107.45  ; Feature-vector-row-index has 19,316 entries (19,316 at peak, 21,295 added, 1,979 deleted).
% 107.27/107.45  ; Feature-vector-row-index has 171,184 nodes (171,184 at peak, 180,244 added, 9,060 deleted).
% 107.27/107.45  ;  Retrieved 4,482,376 possibly forward subsuming rows in 86,080 calls.
% 107.27/107.45  ;  Retrieved 48,914 possibly backward subsumed rows in 21,295 calls.
% 107.27/107.45  ; Path-index has 17,521 entries (17,521 at peak, 20,719 added, 3,198 deleted).
% 107.27/107.45  ; Path-index has 63,865 nodes (63,865 at peak, 70,070 added, 6,205 deleted).
% 107.27/107.45  ; Trie-index has 17,521 entries (17,521 at peak, 20,719 added, 3,198 deleted).
% 107.27/107.45  ; Trie-index has 70,353 nodes (73,370 at peak, 92,944 added, 22,591 deleted).
% 107.27/107.45  ; Retrieved 3,006,239 generalization terms in 1,623,236 calls.
% 107.27/107.45  ; Retrieved 2,036 instance terms in 1,834 calls.
% 107.27/107.45  ; Retrieved 4,184,239 unifiable terms in 49,560 calls.
% 107.27/107.45  ; 
% 107.27/107.45  ; The agenda of rows to process has 14 entries:
% 107.27/107.45  ;     3 with value 6               1 with value 9                1 with value 13
% 107.27/107.45  ;     9 with value 8
% 107.27/107.45  ; The agenda of rows to give has 19920 entries:
% 107.27/107.45  ;   104 with value (4 11)        358 with value (4 47)          80 with value (4 83)
% 107.27/107.45  ;   178 with value (4 12)        255 with value (4 48)         110 with value (4 84)
% 107.27/107.45  ;   231 with value (4 13)        205 with value (4 49)          44 with value (4 85)
% 107.27/107.45  ;   321 with value (4 14)        150 with value (4 50)         197 with value (4 86)
% 107.27/107.45  ;   288 with value (4 15)        120 with value (4 51)         136 with value (4 87)
% 107.27/107.45  ;   461 with value (4 16)         86 with value (4 52)         241 with value (4 88)
% 107.27/107.45  ;   375 with value (4 17)        123 with value (4 53)         119 with value (4 89)
% 107.27/107.45  ;   229 with value (4 18)         66 with value (4 54)         224 with value (4 90)
% 107.27/107.45  ;   178 with value (4 19)         64 with value (4 55)         168 with value (4 91)
% 107.27/107.45  ;   159 with value (4 20)         53 with value (4 56)         222 with value (4 92)
% 107.27/107.45  ;   124 with value (4 21)         42 with value (4 57)         159 with value (4 93)
% 107.27/107.45  ;   100 with value (4 22)         38 with value (4 58)         107 with value (4 94)
% 107.27/107.45  ;   126 with value (4 23)         38 with value (4 59)         100 with value (4 95)
% 107.27/107.45  ;   206 with value (4 24)         47 with value (4 60)          65 with value (4 96)
% 107.27/107.45  ;   192 with value (4 25)         46 with value (4 61)          86 with value (4 97)
% 107.27/107.45  ;   239 with value (4 26)         30 with value (4 62)          40 with value (4 98)
% 107.27/107.45  ;   240 with value (4 27)         27 with value (4 63)          16 with value (4 99)
% 107.27/107.45  ;   288 with value (4 28)         21 with value (4 64)          12 with value (4 100)
% 107.27/107.45  ;   485 with value (4 29)         18 with value (4 65)          23 with value (4 101)
% 107.27/107.45  ;   419 with value (4 30)         32 with value (4 66)           2 with value (4 102)
% 107.27/107.45  ;   483 with value (4 31)         28 with value (4 67)           2 with value (4 103)
% 107.27/107.45  ;   344 with value (4 32)         16 with value (4 68)           1 with value (4 104)
% 107.27/107.45  ;   488 with value (4 33)         52 with value (4 69)           3 with value (4 105)
% 107.27/107.45  ;   674 with value (4 34)         23 with value (4 70)           1 with value (4 106)
% 107.27/107.45  ;   662 with value (4 35)         72 with value (4 71)           2 with value (4 107)
% 107.27/107.45  ;   717 with value (4 36)         53 with value (4 72)           1 with value (4 109)
% 107.27/107.45  ;   675 with value (4 37)         42 with value (4 73)           1 with value (4 110)
% 107.27/107.45  ;   625 with value (4 38)         57 with value (4 74)           1 with value (4 111)
% 107.27/107.45  ;   711 with value (4 39)        102 with value (4 75)           2 with value (4 114)
% 107.27/107.45  ;   886 with value (4 40)         89 with value (4 76)           2 with value (4 115)
% 107.27/107.45  ;  1033 with value (4 41)        105 with value (4 77)           2 with value (4 118)
% 107.27/107.45  ;   861 with value (4 42)         99 with value (4 78)           1 with value (4 119)
% 107.27/107.45  ;   663 with value (4 43)         73 with value (4 79)           2 with value (4 121)
% 107.27/107.45  ;   425 with value (4 44)         79 with value (4 80)           1 with value (4 123)
% 107.27/107.45  ;   317 with value (4 45)         73 with value (4 81)           1 with value (4 124)
% 107.27/107.45  ;   377 with value (4 46)         80 with value (4 82)
% 107.27/107.45  Evaluation took:
% 107.27/107.45    106.972 seconds of real time
% 107.27/107.45    98.365685 seconds of user run time
% 107.27/107.45    8.608903 seconds of system run time
% 107.27/107.45    [Run times include 12.163 seconds GC run time.]
% 107.27/107.45    0 calls to %EVAL
% 107.27/107.45    0 page faults and
% 107.27/107.45    11,667,080,000 bytes consed.
% 107.27/107.45  :PROOF-FOUND
% 107.27/107.45  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-02T15:28:13
% 107.27/107.45  :PROOF-FOUND
% 107.27/107.45  * 
%------------------------------------------------------------------------------