TSTP Solution File: SWV857-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV857-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n013.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 21:36:15 EDT 2022

% Result   : Unsatisfiable 0.87s 1.04s
% Output   : Refutation 0.87s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    7 (   5 unt;   0 nHn;   7 RR)
%            Number of literals    :   10 (   0 equ;   5 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :    5 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_subset__iff_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X),Y),Z))
    | ~ hBOOL(hAPP(hAPP(c_in(X),Y),U))
    | ~ c_lessequals(U,Z,tc_fun(X,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__iff_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_lessequals(v_tsa,v_Ga,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_tsa)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(cls_conjecture_2,negated_conjecture,
    ~ c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(cls_conjecture_3,negated_conjecture,
    ( c_Hoare__Mirabelle_Otriple__valid(v_x,X,t_a)
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X),v_Ga)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(744,plain,
    ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_Ga)),
    inference('UR-RESOLVE',[status(thm)],[cls_conjecture_3,cls_conjecture_2]) ).

cnf(1681,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_subset__iff_0,cls_conjecture_1,cls_conjecture_0]),744]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV857-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n013.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Wed Jun 15 12:06:44 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 0.19/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47   (USE-FACTORING :POS)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T12:06:44
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-06-15T12:06:44
% 0.39/0.60  WARNING:
% 0.39/0.60     |class_Ring__and__Field_Oordered__idom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.39/0.60  WARNING:
% 0.39/0.60     |class_OrderedGroup_Opordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.39/0.60  WARNING:
% 0.39/0.60     |class_OrderedGroup_Ogroup__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.39/0.60  WARNING:
% 0.39/0.60     |class_OrderedGroup_Olordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.39/0.60  WARNING:
% 0.39/0.60     |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.87/1.04  
% 0.87/1.04  
% 0.87/1.04  #||
% 0.87/1.04  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.87/1.04  % SZS output start Refutation
% See solution above
% 0.87/1.04  ||#
% 0.87/1.04  
% 0.87/1.04  ; Summary of computation:
% 0.87/1.04  ;      3333 formulas have been input or derived (from 357 formulas).
% 0.87/1.04  ;      1681 (50%) were retained.  Of these,
% 0.87/1.04  ;          330 (20%) were simplified or subsumed later,
% 0.87/1.04  ;         1351 (80%) are still being kept.
% 0.87/1.04  ; 
% 0.87/1.04  ; Run time in seconds:
% 0.87/1.04  ;     0.116  20%   Read assertion file          (1 call)
% 0.87/1.04  ;     0.009   2%   Assert                       (586 calls)
% 0.87/1.04  ;     0.137  24%   Process new row              (2,947 calls)
% 0.87/1.04  ;     0.040   7%   Resolution                   (712 calls)
% 0.87/1.04  ;     0.017   3%   Paramodulation               (356 calls)
% 0.87/1.04  ;     0.000   0%   Factoring                    (4 calls)
% 0.87/1.04  ;     0.013   2%   Condensing                   (1,153 calls)
% 0.87/1.04  ;     0.053   9%   Forward subsumption          (1,153 calls)
% 0.87/1.04  ;     0.018   3%   Backward subsumption         (956 calls)
% 0.87/1.04  ;     0.004   1%   Clause clause subsumption    (1,329 calls)
% 0.87/1.04  ;     0.059  10%   Forward simplification       (2,805 calls)
% 0.87/1.04  ;     0.037   6%   Backward simplification      (1,614 calls)
% 0.87/1.04  ;     0.043   8%   Ordering                     (6,099 calls)
% 0.87/1.04  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.87/1.04  ;     0.001   0%   Purity testing               (1 call)
% 0.87/1.04  ;     0.024   4%   Other
% 0.87/1.04  ;     0.571        Total
% 0.87/1.04  ;     0.572        Real time
% 0.87/1.04  ; 
% 0.87/1.04  ; Term-hash-array has 4,627 terms in all.
% 0.87/1.04  ; Feature-vector-row-index has 852 entries (852 at peak, 956 added, 104 deleted).
% 0.87/1.04  ; Feature-vector-row-index has 5,849 nodes (5,849 at peak, 6,527 added, 678 deleted).
% 0.87/1.04  ;  Retrieved 1,373 possibly forward subsuming rows in 1,153 calls.
% 0.87/1.04  ;  Retrieved 452 possibly backward subsumed rows in 956 calls.
% 0.87/1.04  ; Path-index has 4,090 entries (4,090 at peak, 4,747 added, 657 deleted).
% 0.87/1.04  ; Path-index has 18,080 nodes (18,080 at peak, 19,407 added, 1,327 deleted).
% 0.87/1.04  ; Trie-index has 4,090 entries (4,090 at peak, 4,747 added, 657 deleted).
% 0.87/1.04  ; Trie-index has 21,943 nodes (21,943 at peak, 27,378 added, 5,435 deleted).
% 0.87/1.04  ; Retrieved 8,149 generalization terms in 12,993 calls.
% 0.87/1.04  ; Retrieved 2,189 instance terms in 829 calls.
% 0.87/1.04  ; Retrieved 75,816 unifiable terms in 3,477 calls.
% 0.87/1.04  ; 
% 0.87/1.04  ; The agenda of rows to process has 27 entries:
% 0.87/1.04  ;     3 with value 14              1 with value 30               1 with value 42
% 0.87/1.04  ;     1 with value 18              3 with value 31               4 with value 43
% 0.87/1.04  ;     3 with value 26              1 with value 32               2 with value 47
% 0.87/1.04  ;     1 with value 27              1 with value 34               1 with value 50
% 0.87/1.04  ;     1 with value 29              2 with value 39               2 with value 54
% 0.87/1.04  ; The agenda of input rows to give has 114 entries:
% 0.87/1.04  ;     1 with value 31              3 with value 42               3 with value 53
% 0.87/1.04  ;     9 with value 32              3 with value 43               1 with value 54
% 0.87/1.04  ;     8 with value 33              5 with value 44               2 with value 55
% 0.87/1.04  ;     5 with value 34              6 with value 45               1 with value 57
% 0.87/1.04  ;     6 with value 35              3 with value 46               3 with value 58
% 0.87/1.04  ;    10 with value 36              3 with value 47               1 with value 59
% 0.87/1.04  ;     6 with value 37              1 with value 48               1 with value 65
% 0.87/1.04  ;     7 with value 38              4 with value 49               2 with value 68
% 0.87/1.04  ;     3 with value 39              3 with value 50               2 with value 73
% 0.87/1.04  ;     3 with value 40              2 with value 52               1 with value 125
% 0.87/1.04  ;     6 with value 41
% 0.87/1.04  ; The agenda of rows to give has 909 entries:
% 0.87/1.04  ;     7 with value (4 6)          30 with value (4 25)           2 with value (4 44)
% 0.87/1.04  ;    23 with value (4 7)          62 with value (4 26)           6 with value (4 45)
% 0.87/1.04  ;     5 with value (4 8)          46 with value (4 27)           7 with value (4 46)
% 0.87/1.04  ;     4 with value (4 9)          29 with value (4 28)           3 with value (4 47)
% 0.87/1.04  ;    10 with value (4 10)         39 with value (4 29)           3 with value (4 48)
% 0.87/1.04  ;     8 with value (4 11)         43 with value (4 30)           4 with value (4 49)
% 0.87/1.04  ;    13 with value (4 12)         46 with value (4 31)          13 with value (4 50)
% 0.87/1.04  ;     5 with value (4 13)         29 with value (4 32)           1 with value (4 51)
% 0.87/1.04  ;    10 with value (4 14)         45 with value (4 33)           3 with value (4 52)
% 0.87/1.04  ;    16 with value (4 15)         27 with value (4 34)           6 with value (4 53)
% 0.87/1.04  ;    10 with value (4 16)         21 with value (4 35)           1 with value (4 54)
% 0.87/1.04  ;     8 with value (4 17)         16 with value (4 36)           2 with value (4 56)
% 0.87/1.04  ;    26 with value (4 18)         32 with value (4 37)           3 with value (4 57)
% 0.87/1.04  ;    22 with value (4 19)         33 with value (4 38)           1 with value (4 60)
% 0.87/1.04  ;    24 with value (4 20)         32 with value (4 39)           2 with value (4 62)
% 0.87/1.04  ;    19 with value (4 21)         17 with value (4 40)           1 with value (4 63)
% 0.87/1.04  ;    21 with value (4 22)          8 with value (4 41)           4 with value (4 66)
% 0.87/1.04  ;    20 with value (4 23)         15 with value (4 42)           1 with value (4 67)
% 0.87/1.04  ;    15 with value (4 24)          9 with value (4 43)           1 with value (4 78)
% 0.87/1.04  Evaluation took:
% 0.87/1.04    0.573 seconds of real time
% 0.87/1.04    0.537487 seconds of user run time
% 0.87/1.04    0.03499 seconds of system run time
% 0.87/1.04    [Run times include 0.032 seconds GC run time.]
% 0.87/1.04    0 calls to %EVAL
% 0.87/1.04    0 page faults and
% 0.87/1.04    50,028,168 bytes consed.
% 0.87/1.04  :PROOF-FOUND
% 0.87/1.04  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T12:06:44
% 0.87/1.04  :PROOF-FOUND
% 0.87/1.04  * 
%------------------------------------------------------------------------------