TSTP Solution File: SWV913-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV913-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n012.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 21:36:26 EDT 2022

% Result   : Unsatisfiable 0.55s 0.73s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    8 (   7 unt;   0 nHn;   4 RR)
%            Number of literals    :    9 (   3 equ;   3 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   3 con; 0-2 aty)
%            Number of variables   :   11 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Collect__def_0,axiom,
    c_Collect(X,Y) = X,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Collect__def_0) ).

cnf(cls_equalityE_0,axiom,
    c_lessequals(X,X,tc_fun(Y,tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_equalityE_0) ).

cnf(cls_asm_0,axiom,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X,Y,Z)
    | ~ c_lessequals(Y,X,tc_fun(tc_Hoare__Mirabelle_Otriple(Z),tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_asm_0) ).

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

cnf(335,plain,
    c_fequal(X,Y) = hAPP(hAPP(c_Set_Oinsert(Y),X),c_Orderings_Obot__class_Obot(tc_fun(Y,tc_bool))),
    inference('REWRITE',[status(thm)],[cls_singleton__conv2_0,cls_Collect__def_0,theory(equality)]) ).

cnf(cls_conjecture_0,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(392,plain,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(c_fequal(v_t,tc_Hoare__Mirabelle_Otriple(t_a)),c_fequal(v_t,tc_Hoare__Mirabelle_Otriple(t_a)),t_a),
    inference('REWRITE',[status(thm)],[cls_conjecture_0,335,theory(equality)]) ).

cnf(491,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[cls_asm_0,392,cls_equalityE_0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SWV913-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n012.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Wed Jun 15 04:27:25 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 0.20/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47   (USE-FACTORING :POS)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47  * 
% 0.20/0.47  "."
% 0.20/0.47  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T04:27:25
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n012.cluster.edu at 2022-06-15T04:27:25
% 0.43/0.62  WARNING:
% 0.43/0.62     |class_OrderedGroup_Opordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.62  WARNING:
% 0.43/0.62     |c_Complete__Lattice_Ocomplete__lattice| is a 9-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.62  WARNING:
% 0.43/0.62     |c_OrderedGroup_Oab__semigroup__mult| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.62  WARNING:
% 0.43/0.62     |c_Orderings_Olinorder| is a 3-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.62  WARNING:
% 0.43/0.62     |class_Orderings_Olinorder| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.62  WARNING:
% 0.43/0.62     |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.62  WARNING:
% 0.43/0.62     |c_Orderings_Oorder| is a 3-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.62  WARNING:
% 0.43/0.62     |c_Hoare__Mirabelle_Ohoare__valids| is a 3-ary relation that occurs only positively; disabling rows that contain it.
% 0.55/0.73  
% 0.55/0.73  
% 0.55/0.73  #||
% 0.55/0.73  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.55/0.73  % SZS output start Refutation
% See solution above
% 0.55/0.73  ||#
% 0.55/0.73  
% 0.55/0.73  ; Summary of computation:
% 0.55/0.73  ;       712 formulas have been input or derived (from 74 formulas).
% 0.55/0.73  ;       491 (69%) were retained.  Of these,
% 0.55/0.73  ;           79 (16%) were simplified or subsumed later,
% 0.55/0.73  ;          412 (84%) are still being kept.
% 0.55/0.73  ; 
% 0.55/0.73  ; Run time in seconds excluding printing time:
% 0.55/0.73  ;     0.119  46%   Read assertion file          (1 call)
% 0.55/0.73  ;     0.010   4%   Assert                       (521 calls)
% 0.55/0.73  ;     0.034  13%   Process new row              (615 calls)
% 0.55/0.73  ;     0.004   2%   Resolution                   (146 calls)
% 0.55/0.73  ;     0.000   0%   Paramodulation               (73 calls)
% 0.55/0.73  ;     0.006   2%   Condensing                   (343 calls)
% 0.55/0.73  ;     0.015   6%   Forward subsumption          (343 calls)
% 0.55/0.73  ;     0.014   5%   Backward subsumption         (301 calls)
% 0.55/0.73  ;     0.002   1%   Clause clause subsumption    (244 calls)
% 0.55/0.73  ;     0.019   7%   Forward simplification       (552 calls)
% 0.55/0.73  ;     0.009   4%   Backward simplification      (458 calls)
% 0.55/0.73  ;     0.003   1%   Ordering                     (478 calls)
% 0.55/0.73  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.55/0.73  ;     0.002   1%   Purity testing               (1 call)
% 0.55/0.73  ;     0.019   7%   Other
% 0.55/0.73  ;     0.256        Total
% 0.55/0.73  ;     0.257        Real time
% 0.55/0.73  ; 
% 0.55/0.73  ; Term-hash-array has 1,313 terms in all.
% 0.55/0.73  ; Feature-vector-row-index has 268 entries (268 at peak, 301 added, 33 deleted).
% 0.55/0.73  ; Feature-vector-row-index has 1,977 nodes (2,009 at peak, 2,515 added, 538 deleted).
% 0.55/0.73  ;  Retrieved 163 possibly forward subsuming rows in 343 calls.
% 0.55/0.73  ;  Retrieved 119 possibly backward subsumed rows in 301 calls.
% 0.55/0.73  ; Path-index has 1,206 entries (1,206 at peak, 1,408 added, 202 deleted).
% 0.55/0.73  ; Path-index has 3,695 nodes (3,695 at peak, 4,039 added, 344 deleted).
% 0.55/0.73  ; Trie-index has 1,206 entries (1,206 at peak, 1,408 added, 202 deleted).
% 0.55/0.73  ; Trie-index has 4,891 nodes (4,891 at peak, 5,830 added, 939 deleted).
% 0.55/0.73  ; Retrieved 549 generalization terms in 2,315 calls.
% 0.55/0.73  ; Retrieved 476 instance terms in 204 calls.
% 0.55/0.73  ; Retrieved 3,227 unifiable terms in 383 calls.
% 0.55/0.73  ; 
% 0.55/0.73  ; The agenda of rows to process has 5 entries:
% 0.55/0.73  ;     1 with value 6               1 with value 15               1 with value 17
% 0.55/0.73  ;     1 with value 13              1 with value 16
% 0.55/0.73  ; The agenda of input rows to give has 298 entries:
% 0.55/0.73  ;     1 with value 15              3 with value 28               4 with value 41
% 0.55/0.73  ;    15 with value 16              9 with value 29               5 with value 42
% 0.55/0.73  ;     9 with value 17             14 with value 30               2 with value 44
% 0.55/0.73  ;    14 with value 18              8 with value 31               5 with value 45
% 0.55/0.73  ;     9 with value 19             16 with value 32               5 with value 46
% 0.55/0.73  ;    22 with value 20              6 with value 33               2 with value 48
% 0.55/0.73  ;    20 with value 21              4 with value 34               1 with value 51
% 0.55/0.73  ;    15 with value 22              6 with value 35               2 with value 54
% 0.55/0.73  ;    19 with value 23              3 with value 36               3 with value 56
% 0.55/0.73  ;    12 with value 24              8 with value 37               1 with value 60
% 0.55/0.73  ;    12 with value 25             14 with value 38               1 with value 68
% 0.55/0.73  ;    13 with value 26              1 with value 39               1 with value 81
% 0.55/0.73  ;    11 with value 27              2 with value 40
% 0.55/0.73  ; The agenda of rows to give has 42 entries:
% 0.55/0.73  ;     1 with value (4 5)           5 with value (4 11)           2 with value (4 15)
% 0.55/0.73  ;     1 with value (4 6)           2 with value (4 12)           2 with value (4 16)
% 0.55/0.73  ;    12 with value (4 7)           8 with value (4 13)           1 with value (4 17)
% 0.55/0.73  ;     3 with value (4 8)           1 with value (4 14)           4 with value (4 19)
% 0.55/0.73  Evaluation took:
% 0.55/0.73    0.258 seconds of real time
% 0.55/0.73    0.244327 seconds of user run time
% 0.55/0.73    0.013765 seconds of system run time
% 0.55/0.73    [Run times include 0.009 seconds GC run time.]
% 0.55/0.73    0 calls to %EVAL
% 0.55/0.73    0 page faults and
% 0.55/0.73    17,002,696 bytes consed.
% 0.55/0.73  :PROOF-FOUND
% 0.55/0.73  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T04:27:25
% 0.55/0.73  :PROOF-FOUND
% 0.55/0.73  * 
%------------------------------------------------------------------------------