TSTP Solution File: ARI748_1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : ARI748_1 : TPTP v8.1.0. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n026.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 : Thu Jul 14 22:10:10 EDT 2022

% Result   : Unsatisfiable 2.25s 2.44s
% Output   : Refutation 2.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   18 (  14 unt;   0 typ;   0 def)
%            Number of atoms       :  116 (  19 equ)
%            Maximal formula atoms :    4 (   6 avg)
%            Number of connectives :   19 (  11   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   90 (  90 fml;   0 var)
%            Number of types       :    0 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   19 (  17 usr;   7 prp; 0-3 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   35 (   0 sgn  35   !;   0   ?;  35   :)

% Comments : 
%------------------------------------------------------------------------------
tff(110,axiom,
    ! [X: c_type,Y: c_unsorted,Z: c_unsorted] : ( 'SKOLEMAAAV13.c_type'(X,Y,Z) = pointer(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_44) ).

tff(111,axiom,
    ! [X: c_type,Y: c_unsorted,Z: c_unsorted] : ( 'SKOLEMAAAV14.c_sorted'(X,Y,Z) = c_sort('SKOLEMAAAV13.c_type'(X,Y,Z),Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_44) ).

tff(112,plain,
    ! [X: c_type,Y: c_unsorted,Z: c_unsorted] : ( 'SKOLEMAAAV14.c_sorted'(X,Y,Z) = c_sort(pointer(X),Y) ),
    inference('REWRITE',[status(thm)],[111,110,theory(equality)]) ).

tff(113,axiom,
    ! [X: c_type,Y: c_unsorted,Z: c_unsorted] : ( 'SKOLEMAAAV15.c_sorted'(X,Y,Z) = c_sort('SKOLEMAAAV13.c_type'(X,Y,Z),Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_44) ).

tff(114,plain,
    ! [X: c_type,Y: c_unsorted,Z: c_unsorted] : ( 'SKOLEMAAAV15.c_sorted'(X,Y,Z) = c_sort(pointer(X),Z) ),
    inference('REWRITE',[status(thm)],[113,110,theory(equality)]) ).

tff(115,axiom,
    ! [X: c_type,Y: c_unsorted,Z: c_unsorted] : ( 'SKOLEMAAAV16.c_type'(X,Y,Z) = block(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_44) ).

tff(118,axiom,
    ! [X: c_type,Y: c_unsorted,Z: c_unsorted] :
      ( same_block('SKOLEMAAAV14.c_sorted'(X,Y,Z),'SKOLEMAAAV15.c_sorted'(X,Y,Z))
      | ( c_sort('SKOLEMAAAV16.c_type'(X,Y,Z),base_block('SKOLEMAAAV14.c_sorted'(X,Y,Z))) != c_sort('SKOLEMAAAV16.c_type'(X,Y,Z),base_block('SKOLEMAAAV15.c_sorted'(X,Y,Z))) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_44) ).

tff(119,plain,
    ! [X: c_type,Y: c_unsorted,Z: c_unsorted] :
      ( same_block(c_sort(pointer(X),Y),c_sort(pointer(X),Z))
      | ( c_sort(block(X),base_block(c_sort(pointer(X),Y))) != c_sort(block(X),base_block(c_sort(pointer(X),Z))) ) ),
    inference('REWRITE',[status(thm)],[118,115,114,112,theory(equality)]) ).

tff(727,axiom,
    ! [X: c_unsorted] : ( 'SKOLEMAAAV268.c_type'(X) = pointer(int_P) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_151) ).

tff(728,axiom,
    ! [X: c_unsorted] : ( 'SKOLEMAAAV269.c_sorted'(X) = c_sort('SKOLEMAAAV268.c_type'(X),X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_151) ).

tff(729,plain,
    ! [X: c_unsorted] : ( 'SKOLEMAAAV269.c_sorted'(X) = c_sort(pointer(int_P),X) ),
    inference('REWRITE',[status(thm)],[728,727,theory(equality)]) ).

tff(927,axiom,
    ! [X: c_type,Y: c_sorted,Z: c_sorted] :
      ( ( X != pointer(int_P) )
      | ( Y != c_sort(X,'SKOLEMAAAV326.c_unsorted') )
      | ( Z != c_sort(X,'SKOLEMAAAV327.c_unsorted') )
      | ~ same_block(Y,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_184) ).

tff(928,axiom,
    ! [X: c_type,Y: c_sorted,Z: c_sorted] :
      ( ( X != pointer(int_P) )
      | ( Y != c_sort(X,'SKOLEMAAAV326.c_unsorted') )
      | ( Z != c_sort(X,'SKOLEMAAAV327.c_unsorted') )
      | ( Y = Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_184) ).

tff(1321,plain,
    ~ same_block(c_sort(pointer(int_P),'SKOLEMAAAV326.c_unsorted'),c_sort(pointer(int_P),'SKOLEMAAAV327.c_unsorted')),
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[927,729,729,theory(equality)]),729,theory(equality)]) ).

tff(1322,plain,
    c_sort(pointer(int_P),'SKOLEMAAAV326.c_unsorted') = c_sort(pointer(int_P),'SKOLEMAAAV327.c_unsorted'),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[928,729,729,theory(equality)]),729,theory(equality)]) ).

tff(1323,plain,
    ~ same_block(c_sort(pointer(int_P),'SKOLEMAAAV326.c_unsorted'),c_sort(pointer(int_P),'SKOLEMAAAV326.c_unsorted')),
    inference('REWRITE',[status(thm)],[1321,1322,theory(equality)]) ).

tff(1709,plain,
    ! [X: c_type,Y: c_unsorted] : same_block(c_sort(pointer(X),Y),c_sort(pointer(X),Y)),
    inference('HYPERRESOLVE',[status(thm)],[119,theory(equality)]) ).

cnf(1710,plain,
    $false,
    inference('REWRITE',[status(thm)],[1323,1709]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : ARI748_1 : TPTP v8.1.0. Released v7.0.0.
% 0.06/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n026.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 : Fri Jun 17 13:27:39 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.21/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.46  * 
% 0.21/0.46  * 
% 0.21/0.47  #<PACKAGE "SNARK-USER">
% 0.21/0.47  * 
% 0.21/0.47  SNARK-TPTP-OPTIONS
% 0.21/0.47  * 
% 0.21/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.47   (USE-FACTORING :POS)
% 0.21/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.47  * 
% 0.21/0.47  "."
% 0.21/0.47  * 
% 0.21/0.47  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T13:27:39
% 0.21/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-17T13:27:39
% 0.39/0.60  WARNING:
% 0.39/0.60     |alloc_extends_except| is a 3-ary relation that occurs only negatively; disabling rows that contain it.
% 0.39/0.60  WARNING:
% 0.39/0.60     |alloc_extends| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 2.25/2.44  
% 2.25/2.44  
% 2.25/2.44  #||
% 2.25/2.44  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.25/2.44  % SZS output start Refutation
% See solution above
% 2.25/2.44  ||#
% 2.25/2.44  
% 2.25/2.44  ; Summary of computation:
% 2.25/2.44  ;     25963 formulas have been input or derived (from 519 formulas).
% 2.25/2.44  ;      1710 ( 7%) were retained.  Of these,
% 2.25/2.44  ;          350 (20%) were simplified or subsumed later,
% 2.25/2.44  ;         1360 (80%) are still being kept.
% 2.25/2.44  ; 
% 2.25/2.44  ; Run time in seconds excluding printing time:
% 2.25/2.44  ;     0.097   5%   Read assertion file          (1 call)
% 2.25/2.44  ;     0.017   1%   Assert                       (184 calls)
% 2.25/2.44  ;     0.148   8%   Process new row              (24,998 calls)
% 2.25/2.44  ;     0.841  43%   Resolution                   (1,036 calls)
% 2.25/2.44  ;     0.034   2%   Paramodulation               (518 calls)
% 2.25/2.44  ;     0.000   0%   Factoring                    (13 calls)
% 2.25/2.44  ;     0.019   1%   Condensing                   (1,731 calls)
% 2.25/2.44  ;     0.091   5%   Forward subsumption          (1,731 calls)
% 2.25/2.44  ;     0.022   1%   Backward subsumption         (844 calls)
% 2.25/2.44  ;     0.008   0%   Clause clause subsumption    (1,866 calls)
% 2.25/2.44  ;     0.485  25%   Forward simplification       (24,975 calls)
% 2.25/2.44  ;     0.008   0%   Backward simplification      (1,389 calls)
% 2.25/2.44  ;     0.028   1%   Ordering                     (6,337 calls)
% 2.25/2.44  ;     0.000   0%   Ordering ac                  (1 call)
% 2.25/2.44  ;     0.091   5%   Sortal reasoning             (131,627 calls)
% 2.25/2.44  ;     0.001   0%   Purity testing               (1 call)
% 2.25/2.44  ;     0.080   4%   Other
% 2.25/2.44  ;     1.970        Total
% 2.25/2.44  ;     1.972        Real time
% 2.25/2.44  ; 
% 2.25/2.44  ; Term-hash-array has 3,211 terms in all.
% 2.25/2.44  ; Feature-vector-row-index has 830 entries (830 at peak, 844 added, 14 deleted).
% 2.25/2.44  ; Feature-vector-row-index has 8,402 nodes (8,402 at peak, 8,564 added, 162 deleted).
% 2.25/2.44  ;  Retrieved 2,640 possibly forward subsuming rows in 1,731 calls.
% 2.25/2.44  ;  Retrieved 301 possibly backward subsumed rows in 844 calls.
% 2.25/2.44  ; Path-index has 3,184 entries (3,185 at peak, 3,278 added, 94 deleted).
% 2.25/2.44  ; Path-index has 19,267 nodes (19,271 at peak, 19,385 added, 118 deleted).
% 2.25/2.44  ; Trie-index has 3,184 entries (3,185 at peak, 3,278 added, 94 deleted).
% 2.25/2.44  ; Trie-index has 16,878 nodes (16,884 at peak, 17,253 added, 375 deleted).
% 2.25/2.44  ; Retrieved 78,730 generalization terms in 161,017 calls.
% 2.25/2.44  ; Retrieved 632 instance terms in 557 calls.
% 2.25/2.44  ; Retrieved 1,437,244 unifiable terms in 53,980 calls.
% 2.25/2.44  ; 
% 2.25/2.44  ; The agenda of rows to process has 16 entries:
% 2.25/2.44  ;    12 with value 35              2 with value 53               2 with value 63
% 2.25/2.44  ; The agenda of input rows to give has 93 entries:
% 2.25/2.44  ;    10 with value 34              2 with value 47               2 with value 62
% 2.25/2.44  ;     1 with value 35              4 with value 48               1 with value 65
% 2.25/2.44  ;     3 with value 36              2 with value 49               1 with value 66
% 2.25/2.44  ;     9 with value 38              7 with value 52               2 with value 67
% 2.25/2.44  ;     5 with value 39              2 with value 53               1 with value 72
% 2.25/2.44  ;     1 with value 40              1 with value 56               1 with value 74
% 2.25/2.44  ;     1 with value 41              2 with value 57               2 with value 75
% 2.25/2.44  ;     3 with value 42              1 with value 58               1 with value 90
% 2.25/2.44  ;     4 with value 43              1 with value 59               1 with value 92
% 2.25/2.44  ;    16 with value 44              1 with value 61               1 with value 102
% 2.25/2.44  ;     4 with value 46
% 2.25/2.44  ; The agenda of rows to give has 750 entries:
% 2.25/2.44  ;     4 with value (4 7)          10 with value (4 24)          12 with value (4 40)
% 2.25/2.44  ;    26 with value (4 8)           4 with value (4 25)          25 with value (4 41)
% 2.25/2.44  ;    13 with value (4 10)          7 with value (4 26)          37 with value (4 42)
% 2.25/2.44  ;    17 with value (4 11)          4 with value (4 27)          33 with value (4 43)
% 2.25/2.44  ;    55 with value (4 12)          9 with value (4 28)          34 with value (4 44)
% 2.25/2.44  ;    20 with value (4 13)          8 with value (4 29)          18 with value (4 45)
% 2.25/2.44  ;    22 with value (4 14)          6 with value (4 30)           8 with value (4 46)
% 2.25/2.44  ;    30 with value (4 15)         10 with value (4 31)          12 with value (4 47)
% 2.25/2.44  ;    36 with value (4 16)          7 with value (4 32)          30 with value (4 48)
% 2.25/2.44  ;     1 with value (4 17)          3 with value (4 33)           2 with value (4 49)
% 2.25/2.44  ;    59 with value (4 18)          2 with value (4 35)           2 with value (4 50)
% 2.25/2.44  ;    25 with value (4 19)          3 with value (4 36)           7 with value (4 51)
% 2.25/2.44  ;     8 with value (4 20)         30 with value (4 37)          18 with value (4 52)
% 2.25/2.44  ;    12 with value (4 21)         13 with value (4 38)          34 with value (4 53)
% 2.25/2.45  ;    11 with value (4 22)          3 with value (4 39)           6 with value (4 54)
% 2.25/2.45  ;    14 with value (4 23)
% 2.25/2.45  Evaluation took:
% 2.25/2.45    1.972 seconds of real time
% 2.25/2.45    1.749217 seconds of user run time
% 2.25/2.45    0.22377 seconds of system run time
% 2.25/2.45    [Run times include 0.12 seconds GC run time.]
% 2.25/2.45    0 calls to %EVAL
% 2.25/2.45    0 page faults and
% 2.25/2.45    149,651,592 bytes consed.
% 2.25/2.45  :PROOF-FOUND
% 2.25/2.45  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T13:27:41
% 2.25/2.45  :PROOF-FOUND
% 2.25/2.45  * 
%------------------------------------------------------------------------------