TSTP Solution File: SWV844-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV844-1 : TPTP v8.1.0. Released v4.1.0.
% 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 : Wed Jul 20 21:36:13 EDT 2022

% Result   : Unsatisfiable 14.40s 14.60s
% Output   : Refutation 14.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    6 (   4 unt;   0 nHn;   6 RR)
%            Number of literals    :    8 (   0 equ;   4 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;   9 con; 0-3 aty)
%            Number of variables   :    6 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_derivs__insertD_0,axiom,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X,c_Set_Oinsert(Y,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(Z),tc_bool)),tc_Hoare__Mirabelle_Otriple(Z)),Z)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X,c_Set_Oinsert(Y,U,tc_Hoare__Mirabelle_Otriple(Z)),Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_derivs__insertD_0) ).

cnf(cls_conjecture_2,negated_conjecture,
    c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P_H,v_x)),hAPP(v_c0,v_x)),hAPP(v_Q_H,v_x)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),t_b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(cls_conjecture_4,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P,v_x)),hAPP(v_c0,v_x)),hAPP(v_Q,v_x)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),t_b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

cnf(cls_conjecture_5,negated_conjecture,
    ( c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P,X)),hAPP(v_c0,X)),hAPP(v_Q,X)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),t_b)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P_H,X)),hAPP(v_c0,X)),hAPP(v_Q_H,X)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),t_b) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).

cnf(4382,plain,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P,v_x)),hAPP(v_c0,v_x)),hAPP(v_Q,v_x)),X,tc_Hoare__Mirabelle_Otriple(t_b)),t_b),
    inference('UR-RESOLVE',[status(thm)],[cls_derivs__insertD_0,cls_conjecture_4]) ).

cnf(10726,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_conjecture_5,cls_conjecture_2]),4382]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem  : SWV844-1 : TPTP v8.1.0. Released v4.1.0.
% 0.13/0.14  % Command  : run-snark %s %d
% 0.14/0.36  % Computer : n027.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Wed Jun 15 10:09:04 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.21/0.49  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.50  * 
% 0.21/0.50  * 
% 0.21/0.50  #<PACKAGE "SNARK-USER">
% 0.21/0.50  * 
% 0.21/0.50  SNARK-TPTP-OPTIONS
% 0.21/0.50  * 
% 0.21/0.50  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.50   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.50   (USE-FACTORING :POS)
% 0.21/0.50   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.50   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.50   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.50   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.50   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.50   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.50   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.50   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.50   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.50   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.50  * 
% 0.21/0.50  "."
% 0.21/0.50  * 
% 0.21/0.50  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-15T10:09:04
% 0.21/0.50  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-15T10:09:04
% 0.59/0.77  WARNING:
% 0.59/0.77     |c_OrderedGroup_Oab__semigroup__mult| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.59/0.77  WARNING:
% 0.59/0.77     |class_Ring__and__Field_Oordered__ring__strict| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.59/0.77  WARNING:
% 0.59/0.77     |class_OrderedGroup_Olordered__ab__group__add__meet| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.59/0.77  WARNING:
% 0.59/0.77     |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.59/0.77  WARNING:
% 0.59/0.77     |class_OrderedGroup_Olordered__ab__group__add__join| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.59/0.77  WARNING:
% 0.59/0.77     |class_Ring__and__Field_Oring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.59/0.77  WARNING:
% 0.59/0.77     |class_OrderedGroup_Olordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.59/0.77  WARNING:
% 0.59/0.77     |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.59/0.77  WARNING:
% 0.59/0.77     |class_Ring__and__Field_Oordered__idom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.59/0.77  WARNING:
% 0.59/0.77     |class_OrderedGroup_Ogroup__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.59/0.77  WARNING:
% 0.59/0.77     |class_OrderedGroup_Opordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.59/0.77  WARNING:
% 0.59/0.77     |class_Int_Onumber__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.59/0.77  WARNING:
% 0.59/0.77     |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.59/0.77  WARNING:
% 0.59/0.77     |class_Ring__and__Field_Opordered__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 14.40/14.60  
% 14.40/14.60  
% 14.40/14.60  #||
% 14.40/14.60  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.40/14.60  % SZS output start Refutation
% See solution above
% 14.40/14.60  ||#
% 14.40/14.60  
% 14.40/14.60  ; Summary of computation:
% 14.40/14.60  ;     22042 formulas have been input or derived (from 753 formulas).
% 14.40/14.60  ;     10726 (49%) were retained.  Of these,
% 14.40/14.60  ;          190 ( 2%) were simplified or subsumed later,
% 14.40/14.60  ;        10536 (98%) are still being kept.
% 14.40/14.60  ; 
% 14.40/14.60  ; Run time in seconds excluding printing time:
% 14.40/14.60  ;     0.225   2%   Read assertion file          (1 call)
% 14.40/14.60  ;     0.027   0%   Assert                       (1,042 calls)
% 14.40/14.60  ;     2.160  15%   Process new row              (20,754 calls)
% 14.40/14.60  ;     0.994   7%   Resolution                   (1,504 calls)
% 14.40/14.60  ;     0.424   3%   Paramodulation               (752 calls)
% 14.40/14.60  ;     0.000   0%   Factoring                    (18 calls)
% 14.40/14.60  ;     0.168   1%   Condensing                   (9,707 calls)
% 14.40/14.60  ;     3.810  27%   Forward subsumption          (9,707 calls)
% 14.40/14.60  ;     0.616   4%   Backward subsumption         (7,205 calls)
% 14.40/14.60  ;     0.271   2%   Clause clause subsumption    (47,066 calls)
% 14.40/14.60  ;     2.325  16%   Forward simplification       (20,315 calls)
% 14.40/14.60  ;     0.277   2%   Backward simplification      (10,710 calls)
% 14.40/14.60  ;     2.688  19%   Ordering                     (203,672 calls)
% 14.40/14.60  ;     0.000   0%   Sortal reasoning             (32 calls)
% 14.40/14.60  ;     0.003   0%   Purity testing               (1 call)
% 14.40/14.60  ;     0.113   1%   Other
% 14.40/14.60  ;    14.101        Total
% 14.40/14.60  ;    14.101        Real time
% 14.40/14.61  ; 
% 14.40/14.61  ; Term-hash-array has 34,469 terms in all.
% 14.40/14.61  ; Feature-vector-row-index has 7,151 entries (7,151 at peak, 7,205 added, 54 deleted).
% 14.40/14.61  ; Feature-vector-row-index has 84,792 nodes (84,792 at peak, 85,613 added, 821 deleted).
% 14.40/14.61  ;  Retrieved 59,736 possibly forward subsuming rows in 9,707 calls.
% 14.40/14.61  ;  Retrieved 3,620 possibly backward subsumed rows in 7,205 calls.
% 14.40/14.61  ; Path-index has 34,072 entries (34,072 at peak, 34,590 added, 518 deleted).
% 14.40/14.61  ; Path-index has 37,354 nodes (37,354 at peak, 37,731 added, 377 deleted).
% 14.40/14.61  ; Trie-index has 34,072 entries (34,072 at peak, 34,590 added, 518 deleted).
% 14.40/14.61  ; Trie-index has 180,431 nodes (180,431 at peak, 183,727 added, 3,296 deleted).
% 14.40/14.61  ; Retrieved 173,333 generalization terms in 196,794 calls.
% 14.40/14.61  ; Retrieved 19,629 instance terms in 5,338 calls.
% 14.40/14.61  ; Retrieved 1,352,917 unifiable terms in 15,063 calls.
% 14.40/14.61  ; 
% 14.40/14.61  ; The agenda of rows to process has 9 entries:
% 14.40/14.61  ;     3 with value 67              1 with value 77               1 with value 83
% 14.40/14.61  ;     2 with value 68              2 with value 80
% 14.40/14.61  ; The agenda of input rows to give has 28 entries:
% 14.40/14.61  ;     4 with value 64              2 with value 70               2 with value 78
% 14.40/14.61  ;     2 with value 65              1 with value 72               1 with value 80
% 14.40/14.61  ;     6 with value 67              1 with value 74               1 with value 81
% 14.40/14.61  ;     2 with value 68              1 with value 76               2 with value 83
% 14.40/14.61  ;     2 with value 69              1 with value 77
% 14.40/14.61  ; The agenda of rows to give has 9764 entries:
% 14.40/14.61  ;     1 with value (4 4)         224 with value (4 44)          38 with value (4 83)
% 14.40/14.61  ;     1 with value (4 5)         182 with value (4 45)          33 with value (4 84)
% 14.40/14.61  ;     1 with value (4 6)         257 with value (4 46)          35 with value (4 85)
% 14.40/14.61  ;    29 with value (4 7)         241 with value (4 47)          38 with value (4 86)
% 14.40/14.61  ;     2 with value (4 8)         229 with value (4 48)          51 with value (4 87)
% 14.40/14.61  ;     1 with value (4 9)         199 with value (4 49)          28 with value (4 88)
% 14.40/14.61  ;     1 with value (4 10)        134 with value (4 50)          13 with value (4 89)
% 14.40/14.61  ;     3 with value (4 11)        248 with value (4 51)          16 with value (4 90)
% 14.40/14.61  ;    11 with value (4 12)        166 with value (4 52)          18 with value (4 91)
% 14.40/14.61  ;    31 with value (4 13)        193 with value (4 53)          21 with value (4 92)
% 14.40/14.61  ;    25 with value (4 14)        226 with value (4 54)          14 with value (4 93)
% 14.40/14.61  ;    12 with value (4 15)        198 with value (4 55)          16 with value (4 94)
% 14.40/14.61  ;    18 with value (4 16)        182 with value (4 56)           3 with value (4 95)
% 14.40/14.61  ;    15 with value (4 17)        159 with value (4 57)           3 with value (4 96)
% 14.40/14.61  ;    40 with value (4 18)        140 with value (4 58)          20 with value (4 97)
% 14.40/14.61  ;    46 with value (4 19)        147 with value (4 59)          18 with value (4 98)
% 14.40/14.61  ;    40 with value (4 20)        150 with value (4 60)           3 with value (4 99)
% 14.40/14.61  ;    55 with value (4 21)        196 with value (4 61)           6 with value (4 100)
% 14.40/14.61  ;    59 with value (4 22)        252 with value (4 62)           3 with value (4 101)
% 14.40/14.61  ;    52 with value (4 23)        181 with value (4 63)           8 with value (4 102)
% 14.40/14.61  ;   121 with value (4 24)        123 with value (4 64)          11 with value (4 103)
% 14.40/14.61  ;   109 with value (4 25)         69 with value (4 65)           4 with value (4 104)
% 14.40/14.61  ;    78 with value (4 26)        120 with value (4 66)           5 with value (4 105)
% 14.40/14.61  ;   105 with value (4 27)         94 with value (4 67)           7 with value (4 106)
% 14.40/14.61  ;   103 with value (4 28)        140 with value (4 68)           3 with value (4 107)
% 14.40/14.61  ;   144 with value (4 29)        166 with value (4 69)           3 with value (4 108)
% 14.40/14.61  ;   172 with value (4 30)        103 with value (4 70)           1 with value (4 109)
% 14.40/14.61  ;   182 with value (4 31)         89 with value (4 71)           2 with value (4 111)
% 14.40/14.61  ;   218 with value (4 32)         49 with value (4 72)           1 with value (4 112)
% 14.40/14.61  ;   171 with value (4 33)         51 with value (4 73)           3 with value (4 113)
% 14.40/14.61  ;   164 with value (4 34)         39 with value (4 74)           4 with value (4 114)
% 14.40/14.61  ;   216 with value (4 35)         54 with value (4 75)           4 with value (4 115)
% 14.40/14.61  ;   213 with value (4 36)         90 with value (4 76)           2 with value (4 116)
% 14.40/14.61  ;   214 with value (4 37)         53 with value (4 77)           4 with value (4 118)
% 14.40/14.61  ;   204 with value (4 38)         58 with value (4 78)           2 with value (4 121)
% 14.40/14.61  ;   206 with value (4 39)         60 with value (4 79)           1 with value (4 123)
% 14.40/14.61  ;   205 with value (4 40)         67 with value (4 80)           1 with value (4 124)
% 14.40/14.61  ;   198 with value (4 41)         27 with value (4 81)           3 with value (4 127)
% 14.40/14.61  ;   241 with value (4 42)         19 with value (4 82)           1 with value (4 129)
% 14.40/14.61  ;   235 with value (4 43)
% 14.40/14.61  Evaluation took:
% 14.40/14.61    14.111 seconds of real time
% 14.40/14.61    13.297106 seconds of user run time
% 14.40/14.61    0.815105 seconds of system run time
% 14.40/14.61    [Run times include 2.839 seconds GC run time.]
% 14.40/14.61    0 calls to %EVAL
% 14.40/14.61    0 page faults and
% 14.40/14.61    1,027,218,024 bytes consed.
% 14.40/14.61  :PROOF-FOUND
% 14.40/14.61  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-15T10:09:18
% 14.40/14.61  :PROOF-FOUND
% 14.40/14.61  * 
%------------------------------------------------------------------------------