TSTP Solution File: SWV839-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV839-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n005.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 21:36:12 EDT 2022

% Result   : Unsatisfiable 0.49s 0.70s
% Output   : Refutation 0.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   10 (  10 unt;   0 nHn;   2 RR)
%            Number of literals    :   10 (   6 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;   5 con; 0-4 aty)
%            Number of variables   :   20 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Un__empty__right_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(X,c_Orderings_Obot__class_Obot(tc_fun(Y,tc_bool)),tc_fun(Y,tc_bool)) = X,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__empty__right_0) ).

cnf(cls_Collect__def_0,axiom,
    c_Collect(X,Y) = X,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Collect__def_0) ).

cnf(cls_singleton__conv2_0,axiom,
    c_Collect(hAPP(c_fequal(X),Y),X) = c_Set_Oinsert(Y,c_Orderings_Obot__class_Obot(tc_fun(X,tc_bool)),X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_singleton__conv2_0) ).

cnf(247,plain,
    hAPP(c_fequal(X),Y) = c_Set_Oinsert(Y,c_Orderings_Obot__class_Obot(tc_fun(X,tc_bool)),X),
    inference('REWRITE',[status(thm)],[cls_singleton__conv2_0,cls_Collect__def_0,theory(equality)]) ).

cnf(cls_insert__is__Un_0,axiom,
    c_Set_Oinsert(X,Y,Z) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X,c_Orderings_Obot__class_Obot(tc_fun(Z,tc_bool)),Z),Y,tc_fun(Z,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__is__Un_0) ).

cnf(288,plain,
    c_Set_Oinsert(X,Y,Z) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_fequal(Z),X),Y,tc_fun(Z,tc_bool)),
    inference('REWRITE',[status(thm)],[cls_insert__is__Un_0,247,theory(equality)]) ).

cnf(cls_hoare__derivs_OSkip_0,axiom,
    c_Hoare__Mirabelle_Ohoare__derivs(X,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(Y,c_Com_Ocom_OSKIP,Y,Z),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(Z),tc_bool)),tc_Hoare__Mirabelle_Otriple(Z)),Z),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_hoare__derivs_OSkip_0) ).

cnf(352,plain,
    c_Hoare__Mirabelle_Ohoare__derivs(X,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(Y)),c_Hoare__Mirabelle_Otriple_Otriple(Z,c_Com_Ocom_OSKIP,Z,Y)),Y),
    inference('REWRITE',[status(thm)],[cls_hoare__derivs_OSkip_0,cls_Un__empty__right_0,288,theory(equality)]) ).

cnf(cls_conjecture_1,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(384,plain,
    $false,
    inference('REWRITE',[status(thm)],[cls_conjecture_1,352,cls_Un__empty__right_0,288,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV839-1 : TPTP v8.1.0. Released v4.1.0.
% 0.13/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n005.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
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Tue Jun 14 21:34:39 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  * 
% 0.20/0.48  #<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)
% 0.20/0.49   (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 2022-06-14T21:34:39
% 0.20/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-06-14T21:34:39
% 0.42/0.62  WARNING:
% 0.42/0.62     |class_OrderedGroup_Ogroup__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.42/0.62  WARNING:
% 0.42/0.62     |class_Ring__and__Field_Oordered__idom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.42/0.62  WARNING:
% 0.42/0.62     |class_OrderedGroup_Opordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.42/0.62  WARNING:
% 0.42/0.62     |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.42/0.62  WARNING:
% 0.42/0.62     |class_Ring__and__Field_Oring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.42/0.62  WARNING:
% 0.42/0.62     |c_Complete__Lattice_Ocomplete__lattice__axioms| is a 4-ary relation that occurs only positively; disabling rows that contain it.
% 0.49/0.70  
% 0.49/0.70  
% 0.49/0.70  #||
% 0.49/0.70  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.49/0.70  % SZS output start Refutation
% See solution above
% 0.49/0.70  ||#
% 0.49/0.70  
% 0.49/0.70  ; Summary of computation:
% 0.49/0.70  ;       571 formulas have been input or derived (from 1 formulas).
% 0.49/0.70  ;       384 (67%) were retained.  Of these,
% 0.49/0.70  ;          120 (31%) were simplified or subsumed later,
% 0.49/0.70  ;          264 (69%) are still being kept.
% 0.49/0.70  ; 
% 0.49/0.70  ; Run time in seconds:
% 0.49/0.70  ;     0.112  51%   Read assertion file          (1 call)
% 0.49/0.70  ;     0.011   5%   Assert                       (454 calls)
% 0.49/0.70  ;     0.021  10%   Process new row              (405 calls)
% 0.49/0.70  ;     0.005   2%   Condensing                   (293 calls)
% 0.49/0.70  ;     0.012   5%   Forward subsumption          (293 calls)
% 0.49/0.70  ;     0.004   2%   Backward subsumption         (254 calls)
% 0.49/0.70  ;     0.002   1%   Clause clause subsumption    (257 calls)
% 0.49/0.70  ;     0.023  11%   Forward simplification       (375 calls)
% 0.49/0.70  ;     0.007   3%   Backward simplification      (321 calls)
% 0.49/0.70  ;     0.001   0%   Ordering                     (155 calls)
% 0.49/0.70  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.49/0.70  ;     0.001   0%   Purity testing               (1 call)
% 0.49/0.70  ;     0.020   9%   Other
% 0.49/0.70  ;     0.219        Total
% 0.49/0.70  ;     0.218        Real time
% 0.49/0.70  ; 
% 0.49/0.70  ; Term-hash-array has 980 terms in all.
% 0.49/0.70  ; Feature-vector-row-index has 210 entries (210 at peak, 254 added, 44 deleted).
% 0.49/0.70  ; Feature-vector-row-index has 1,757 nodes (1,757 at peak, 2,290 added, 533 deleted).
% 0.49/0.70  ;  Retrieved 196 possibly forward subsuming rows in 293 calls.
% 0.49/0.70  ;  Retrieved 139 possibly backward subsumed rows in 254 calls.
% 0.49/0.70  ; Path-index has 807 entries (807 at peak, 1,002 added, 195 deleted).
% 0.49/0.70  ; Path-index has 3,283 nodes (3,283 at peak, 3,710 added, 427 deleted).
% 0.49/0.70  ; Trie-index has 807 entries (807 at peak, 1,002 added, 195 deleted).
% 0.49/0.70  ; Trie-index has 2,669 nodes (2,669 at peak, 3,713 added, 1,044 deleted).
% 0.49/0.70  ; Retrieved 416 generalization terms in 1,705 calls.
% 0.49/0.70  ; Retrieved 237 instance terms in 80 calls.
% 0.49/0.70  ; 
% 0.49/0.70  ; The agenda of input rows to process has 34 entries:
% 0.49/0.70  ;    34 with value 0
% 0.49/0.70  ; The agenda of backward simplifiable rows to process has 54 entries:
% 0.49/0.70  ;    54 with value 0
% 0.49/0.70  ; The agenda of input rows to give has 263 entries:
% 0.49/0.70  ;     3 with value 7               9 with value 23               2 with value 37
% 0.49/0.70  ;     4 with value 8               9 with value 24               3 with value 38
% 0.49/0.70  ;     1 with value 9              11 with value 25               5 with value 39
% 0.49/0.70  ;     4 with value 11             10 with value 26               1 with value 42
% 0.49/0.70  ;     6 with value 12              8 with value 27               2 with value 43
% 0.49/0.70  ;    13 with value 13              8 with value 28               1 with value 44
% 0.49/0.70  ;     7 with value 14              3 with value 29              13 with value 45
% 0.49/0.70  ;    14 with value 15              7 with value 30               4 with value 46
% 0.49/0.70  ;     9 with value 16              1 with value 31               1 with value 47
% 0.49/0.70  ;    16 with value 17              4 with value 32               3 with value 50
% 0.49/0.70  ;    11 with value 18              4 with value 33               4 with value 52
% 0.49/0.70  ;    14 with value 19              5 with value 34               2 with value 55
% 0.49/0.70  ;     8 with value 20              2 with value 35               1 with value 58
% 0.49/0.70  ;     9 with value 21              6 with value 36               2 with value 60
% 0.49/0.70  ;    13 with value 22
% 0.49/0.70  Evaluation took:
% 0.49/0.70    0.219 seconds of real time
% 0.49/0.70    0.196542 seconds of user run time
% 0.49/0.70    0.022562 seconds of system run time
% 0.49/0.70    [Run times include 0.007 seconds GC run time.]
% 0.49/0.70    0 calls to %EVAL
% 0.49/0.70    0 page faults and
% 0.49/0.70    13,992,096 bytes consed.
% 0.49/0.70  :PROOF-FOUND
% 0.49/0.70  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T21:34:39
% 0.49/0.71  :PROOF-FOUND
% 0.49/0.71  * 
%------------------------------------------------------------------------------