TSTP Solution File: SWW474+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWW474+1 : TPTP v8.1.0. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n027.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 21 01:25:12 EDT 2022

% Result   : Theorem 35.90s 36.08s
% Output   : Refutation 35.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   23 (  18 unt;   0 nHn;  13 RR)
%            Number of literals    :   32 (  12 equ;  12 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   28 (  28 usr;  11 con; 0-2 aty)
%            Number of variables   :   21 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(54,axiom,
    hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X),bot_bo620288102e_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_empty) ).

cnf(58,axiom,
    ( ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X),Y))
    | ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(Z),X))
    | hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(Z),Y)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_cut) ).

cnf(175,axiom,
    ( ~ hBOOL(hoare_165779456gleton)
    | ~ hBOOL(wT_bodies)
    | ~ hBOOL(wt(X))
    | hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X),bot_bo620288102e_bool))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_103_MGF) ).

cnf(277,axiom,
    insert1415133716_state(X,Y) = collec307967673_state(cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),Y))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_187_insert__compr) ).

cnf(378,axiom,
    collec307967673_state(X) = X,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_255_Collect__def) ).

cnf(439,axiom,
    collec307967673_state(hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X)) = insert1415133716_state(X,bot_bo620288102e_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_280_singleton__conv) ).

cnf(440,plain,
    hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X) = insert1415133716_state(X,bot_bo620288102e_bool),
    inference('REWRITE',[status(thm)],[439,378,theory(equality)]) ).

cnf(447,axiom,
    collec307967673_state(hAPP_H1049623551e_bool(fequal1111551311_state,X)) = insert1415133716_state(X,bot_bo620288102e_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_284_singleton__conv2) ).

cnf(448,plain,
    hAPP_H1049623551e_bool(fequal1111551311_state,X) = hAPP_H1049623551e_bool(cOMBC_654211620e_bool(fequal1111551311_state),X),
    inference('REWRITE',[status(thm)],[447,440,378,theory(equality)]) ).

cnf(456,axiom,
    ( ~ hBOOL(wT_bodies)
    | hAPP_p799580910on_com(body,X) != some_com(Y)
    | hBOOL(wt(Y)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_288_WT__bodiesD) ).

cnf(567,hypothesis,
    hBOOL(hoare_165779456gleton),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

cnf(568,hypothesis,
    hBOOL(wT_bodies),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).

cnf(572,hypothesis,
    hAPP_p799580910on_com(body,pn) = some_com(y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_5) ).

cnf(574,negated_conjecture,
    ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,y),bot_bo620288102e_bool))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_7) ).

cnf(575,plain,
    ( hAPP_p799580910on_com(body,X) != some_com(Y)
    | hBOOL(wt(Y)) ),
    inference('REWRITE',[status(thm)],[456,568]) ).

cnf(591,plain,
    hAPP_H1049623551e_bool(fequal1111551311_state,X) = insert1415133716_state(X,bot_bo620288102e_bool),
    inference('REWRITE',[status(thm)],[440,448,theory(equality)]) ).

cnf(595,plain,
    ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),hAPP_H1049623551e_bool(fequal1111551311_state,hAPP_c1126217667_state(hoare_Mirabelle_MGT,y)))),
    inference('REWRITE',[status(thm)],[574,591,theory(equality)]) ).

cnf(627,plain,
    insert1415133716_state(X,Y) = cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(fequal1111551311_state,X)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),Y)),
    inference('REWRITE',[status(thm)],[277,448,378,theory(equality)]) ).

cnf(637,plain,
    hAPP_H1049623551e_bool(fequal1111551311_state,X) = cOMBS_458705923l_bool(cOMBB_962198420_state(fdisj,hAPP_H1049623551e_bool(fequal1111551311_state,X)),hAPP_f98417237e_bool(cOMBC_1734175330l_bool(member1338687867_state),bot_bo620288102e_bool)),
    inference('REWRITE',[status(thm)],[591,627,theory(equality)]) ).

cnf(694,plain,
    ( ~ hBOOL(wt(X))
    | hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),hAPP_H1049623551e_bool(fequal1111551311_state,hAPP_c1126217667_state(hoare_Mirabelle_MGT,X)))) ),
    inference('REWRITE',[status(thm)],[175,378,637,448,568,567,277,theory(equality)]) ).

cnf(1326,plain,
    hBOOL(wt(y)),
    inference('HYPERRESOLVE',[status(thm)],[575,572]) ).

cnf(5445,plain,
    ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),hAPP_H1049623551e_bool(fequal1111551311_state,hAPP_c1126217667_state(hoare_Mirabelle_MGT,y)))),
    inference('UR-RESOLVE',[status(thm)],[58,54,595]) ).

cnf(12197,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[694,1326]),5445]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWW474+1 : TPTP v8.1.0. Released v5.3.0.
% 0.07/0.14  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n027.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Mon Jun  6 03:12:24 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.47  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48  * 
% 0.20/0.48  * 
% 0.20/0.49  #<PACKAGE "SNARK-USER">
% 0.20/0.49  * 
% 0.20/0.49  SNARK-TPTP-OPTIONS
% 0.20/0.49  * 
% 0.20/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49   (USE-FACTORING :POS)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49  * 
% 0.20/0.49  "."
% 0.20/0.49  * 
% 0.20/0.49  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-06T03:12:24
% 0.20/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-06T03:12:24
% 35.90/36.08  
% 35.90/36.08  
% 35.90/36.08  #||
% 35.90/36.08  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 35.90/36.08  % SZS output start Refutation
% See solution above
% 35.90/36.10  ||#
% 35.90/36.10  
% 35.90/36.10  ; Summary of computation:
% 35.90/36.10  ;    146687 formulas have been input or derived (from 514 formulas).
% 35.90/36.10  ;     12197 ( 8%) were retained.  Of these,
% 35.90/36.10  ;          454 ( 4%) were simplified or subsumed later,
% 35.90/36.10  ;        11743 (96%) are still being kept.
% 35.90/36.10  ; 
% 35.90/36.10  ; Run time in seconds excluding printing time:
% 35.90/36.10  ;     0.095   0%   Read assertion file          (1 call)
% 35.90/36.10  ;     0.010   0%   Assert                       (428 calls)
% 35.90/36.10  ;     2.125   6%   Process new row              (144,160 calls)
% 35.90/36.10  ;     5.315  15%   Resolution                   (1,026 calls)
% 35.90/36.10  ;     0.040   0%   Paramodulation               (513 calls)
% 35.90/36.10  ;     0.000   0%   Factoring                    (38 calls)
% 35.90/36.10  ;     0.256   1%   Condensing                   (17,752 calls)
% 35.90/36.10  ;     4.461  13%   Forward subsumption          (17,752 calls)
% 35.90/36.10  ;     0.511   1%   Backward subsumption         (7,187 calls)
% 35.90/36.10  ;     0.251   1%   Clause clause subsumption    (34,837 calls)
% 35.90/36.10  ;    12.308  35%   Forward simplification       (143,832 calls)
% 35.90/36.10  ;     0.571   2%   Backward simplification      (12,132 calls)
% 35.90/36.10  ;     9.217  26%   Ordering                     (908,305 calls)
% 35.90/36.10  ;     0.000   0%   Sortal reasoning             (32 calls)
% 35.90/36.10  ;     0.000   0%   Purity testing               (1 call)
% 35.90/36.10  ;     0.433   1%   Other
% 35.90/36.10  ;    35.593        Total
% 35.90/36.10  ;    35.609        Real time
% 35.90/36.10  ; 
% 35.90/36.11  ; Term-hash-array has 34,427 terms in all.
% 35.90/36.11  ; Feature-vector-row-index has 6,969 entries (6,969 at peak, 7,187 added, 218 deleted).
% 35.90/36.11  ; Feature-vector-row-index has 88,241 nodes (88,241 at peak, 90,867 added, 2,626 deleted).
% 35.90/36.11  ;  Retrieved 59,951 possibly forward subsuming rows in 17,752 calls.
% 35.90/36.11  ;  Retrieved 5,281 possibly backward subsumed rows in 7,187 calls.
% 35.90/36.11  ; Path-index has 33,720 entries (33,720 at peak, 34,830 added, 1,110 deleted).
% 35.90/36.11  ; Path-index has 61,949 nodes (61,949 at peak, 63,010 added, 1,061 deleted).
% 35.90/36.11  ; Trie-index has 33,720 entries (33,720 at peak, 34,830 added, 1,110 deleted).
% 35.90/36.11  ; Trie-index has 207,816 nodes (207,816 at peak, 211,899 added, 4,083 deleted).
% 35.90/36.11  ; Retrieved 1,292,094 generalization terms in 1,952,882 calls.
% 35.90/36.11  ; Retrieved 24,276 instance terms in 9,395 calls.
% 35.90/36.11  ; Retrieved 4,464,321 unifiable terms in 35,104 calls.
% 35.90/36.11  ; 
% 35.90/36.11  ; The agenda of rows to process has 146 entries:
% 35.90/36.11  ;    29 with value 15             12 with value 23               5 with value 29
% 35.90/36.11  ;     4 with value 16              5 with value 24               6 with value 30
% 35.90/36.11  ;    20 with value 17              2 with value 25               2 with value 31
% 35.90/36.11  ;    14 with value 18              1 with value 26               8 with value 32
% 35.90/36.11  ;     7 with value 20              4 with value 27               4 with value 33
% 35.90/36.11  ;     6 with value 21              8 with value 28               1 with value 39
% 35.90/36.11  ;     8 with value 22
% 35.90/36.11  ; The agenda of rows to give has 11235 entries:
% 35.90/36.11  ;     2 with value (4 6)         117 with value (4 41)          39 with value (4 75)
% 35.90/36.11  ;    34 with value (4 7)         167 with value (4 42)          11 with value (4 76)
% 35.90/36.11  ;    13 with value (4 8)          76 with value (4 43)          17 with value (4 77)
% 35.90/36.11  ;    42 with value (4 9)          55 with value (4 44)          18 with value (4 78)
% 35.90/36.11  ;   201 with value (4 10)         99 with value (4 45)          40 with value (4 79)
% 35.90/36.11  ;    33 with value (4 11)         64 with value (4 46)          80 with value (4 80)
% 35.90/36.11  ;   133 with value (4 12)         69 with value (4 47)          38 with value (4 81)
% 35.90/36.11  ;    97 with value (4 13)        142 with value (4 48)          13 with value (4 82)
% 35.90/36.11  ;    62 with value (4 14)        134 with value (4 49)           5 with value (4 83)
% 35.90/36.11  ;   243 with value (4 15)        590 with value (4 50)           5 with value (4 84)
% 35.90/36.11  ;   127 with value (4 16)        764 with value (4 51)           2 with value (4 85)
% 35.90/36.11  ;   140 with value (4 17)        667 with value (4 52)           6 with value (4 86)
% 35.90/36.11  ;   123 with value (4 18)        145 with value (4 53)           5 with value (4 87)
% 35.90/36.11  ;   125 with value (4 19)         64 with value (4 54)          13 with value (4 88)
% 35.90/36.11  ;   289 with value (4 20)         93 with value (4 55)           8 with value (4 89)
% 35.90/36.11  ;   193 with value (4 21)         63 with value (4 56)          23 with value (4 90)
% 35.90/36.11  ;   357 with value (4 22)         54 with value (4 57)          59 with value (4 91)
% 35.90/36.11  ;   214 with value (4 23)         68 with value (4 58)          31 with value (4 92)
% 35.90/36.11  ;   269 with value (4 24)        122 with value (4 59)           6 with value (4 93)
% 35.90/36.11  ;   215 with value (4 25)        251 with value (4 60)          15 with value (4 94)
% 35.90/36.11  ;   178 with value (4 26)        134 with value (4 61)           1 with value (4 95)
% 35.90/36.11  ;   219 with value (4 27)         44 with value (4 62)           1 with value (4 96)
% 35.90/36.11  ;   223 with value (4 28)         36 with value (4 63)           9 with value (4 99)
% 35.90/36.11  ;   275 with value (4 29)         34 with value (4 64)           1 with value (4 100)
% 35.90/36.11  ;   307 with value (4 30)         31 with value (4 65)           2 with value (4 101)
% 35.90/36.11  ;   240 with value (4 31)         96 with value (4 66)           4 with value (4 102)
% 35.90/36.11  ;   278 with value (4 32)        225 with value (4 67)           1 with value (4 103)
% 35.90/36.11  ;   239 with value (4 33)        143 with value (4 68)           9 with value (4 104)
% 35.90/36.11  ;   177 with value (4 34)         22 with value (4 69)           2 with value (4 107)
% 35.90/36.11  ;   190 with value (4 35)         17 with value (4 70)           3 with value (4 118)
% 35.90/36.11  ;   212 with value (4 36)         19 with value (4 71)           1 with value (4 121)
% 35.90/36.11  ;   214 with value (4 37)         11 with value (4 72)           2 with value (4 126)
% 35.90/36.11  ;   137 with value (4 38)         13 with value (4 73)           1 with value (4 128)
% 35.90/36.11  ;   219 with value (4 39)          3 with value (4 74)           1 with value (4 153)
% 35.90/36.11  ;   111 with value (4 40)
% 35.90/36.11  Evaluation took:
% 35.90/36.11    35.618 seconds of real time
% 35.90/36.11    33.546333 seconds of user run time
% 35.90/36.11    2.074399 seconds of system run time
% 35.90/36.11    [Run times include 4.156 seconds GC run time.]
% 35.90/36.11    0 calls to %EVAL
% 35.90/36.11    0 page faults and
% 35.90/36.11    2,621,162,992 bytes consed.
% 35.90/36.11  :PROOF-FOUND
% 35.90/36.11  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-06T03:12:59
% 35.90/36.11  :PROOF-FOUND
% 35.90/36.11  * 
%------------------------------------------------------------------------------