TSTP Solution File: SWV882-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV882-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n019.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 21:36:20 EDT 2022

% Result   : Unsatisfiable 1.07s 1.24s
% Output   : Refutation 1.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    7 (   5 unt;   0 nHn;   6 RR)
%            Number of literals    :   10 (   0 equ;   5 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-3 aty)
%            Number of variables   :    8 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_insert__subset_2,axiom,
    ( c_lessequals(c_Set_Oinsert(X,Y,Z),U,tc_fun(Z,tc_bool))
    | ~ c_lessequals(Y,U,tc_fun(Z,tc_bool))
    | ~ c_in(X,U,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__subset_2) ).

cnf(cls_empty__subsetI_0,axiom,
    c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X,tc_bool)),Y,tc_fun(X,tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__subsetI_0) ).

cnf(cls_assms_I1_J_0,axiom,
    ( hBOOL(hAPP(hAPP(v_P,X),Y))
    | ~ c_lessequals(Y,X,tc_fun(t_a,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_assms_I1_J_0) ).

cnf(cls_conjecture_5,negated_conjecture,
    c_in(hAPP(v_mgt__call,v_pn),v_G,t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).

cnf(cls_conjecture_6,negated_conjecture,
    ~ hBOOL(hAPP(hAPP(v_P,v_G),c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).

cnf(1166,plain,
    ~ c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),v_G,tc_fun(t_a,tc_bool)),
    inference('UR-RESOLVE',[status(thm)],[cls_assms_I1_J_0,cls_conjecture_6]) ).

cnf(1665,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_insert__subset_2,cls_empty__subsetI_0,cls_conjecture_5]),1166]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SWV882-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.14/0.35  % Computer : n019.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Tue Jun 14 16:51:54 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.20/0.47  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48  * 
% 0.20/0.48  * 
% 0.20/0.48  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.49  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/sandbox/benchmark/theBenchmark.p 2022-06-14T16:51:55
% 0.20/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-06-14T16:51:55
% 0.39/0.62  
% 0.39/0.62  ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 0.39/0.62  WARNING:
% 0.39/0.62     |class_Ring__and__Field_Oring__1| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.39/0.62  WARNING:
% 0.39/0.62     |class_Ring__and__Field_Oring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.39/0.62  WARNING:
% 0.39/0.62     |class_OrderedGroup_Ogroup__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.39/0.62  WARNING:
% 0.39/0.62     |class_OrderedGroup_Opordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.39/0.62  WARNING:
% 0.39/0.62     |class_Ring__and__Field_Oordered__idom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.39/0.62  WARNING:
% 0.39/0.62     |c_OrderedGroup_Oab__semigroup__mult| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.39/0.62  WARNING:
% 0.39/0.62     |class_Int_Onumber__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.39/0.62  WARNING:
% 0.39/0.62     |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.39/0.62  WARNING:
% 0.39/0.62     |class_OrderedGroup_Olordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.39/0.62  WARNING:
% 0.39/0.62     |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 1.07/1.24  ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 1.07/1.24  
% 1.07/1.24  #||
% 1.07/1.24  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.07/1.24  % SZS output start Refutation
% See solution above
% 1.07/1.24  ||#
% 1.07/1.24  
% 1.07/1.24  ; Summary of computation:
% 1.07/1.24  ;      6921 formulas have been input or derived (from 355 formulas).
% 1.07/1.24  ;      1665 (24%) were retained.  Of these,
% 1.07/1.24  ;           73 ( 4%) were simplified or subsumed later,
% 1.07/1.24  ;         1592 (96%) are still being kept.
% 1.07/1.24  ; 
% 1.07/1.24  ; Run time in seconds excluding printing time:
% 1.07/1.24  ;     0.114  15%   Read assertion file          (1 call)
% 1.07/1.24  ;     0.012   2%   Assert                       (627 calls)
% 1.07/1.24  ;     0.098  13%   Process new row              (6,195 calls)
% 1.07/1.24  ;     0.107  14%   Resolution                   (708 calls)
% 1.07/1.24  ;     0.021   3%   Paramodulation               (354 calls)
% 1.07/1.24  ;     0.000   0%   Factoring                    (10 calls)
% 1.07/1.24  ;     0.015   2%   Condensing                   (2,454 calls)
% 1.07/1.24  ;     0.087  12%   Forward subsumption          (2,454 calls)
% 1.07/1.24  ;     0.044   6%   Backward subsumption         (1,096 calls)
% 1.07/1.24  ;     0.051   7%   Clause clause subsumption    (6,634 calls)
% 1.07/1.24  ;     0.118  16%   Forward simplification       (6,146 calls)
% 1.07/1.24  ;     0.014   2%   Backward simplification      (1,653 calls)
% 1.07/1.24  ;     0.027   4%   Ordering                     (9,310 calls)
% 1.07/1.24  ;     0.000   0%   Sortal reasoning             (32 calls)
% 1.07/1.24  ;     0.002   0%   Purity testing               (1 call)
% 1.07/1.24  ;     0.046   6%   Other
% 1.07/1.24  ;     0.756        Total
% 1.07/1.24  ;     0.758        Real time
% 1.07/1.24  ; 
% 1.07/1.24  ; Term-hash-array has 2,653 terms in all.
% 1.07/1.24  ; Feature-vector-row-index has 1,073 entries (1,073 at peak, 1,096 added, 23 deleted).
% 1.07/1.24  ; Feature-vector-row-index has 4,962 nodes (4,962 at peak, 5,187 added, 225 deleted).
% 1.07/1.24  ;  Retrieved 9,884 possibly forward subsuming rows in 2,454 calls.
% 1.07/1.24  ;  Retrieved 847 possibly backward subsumed rows in 1,096 calls.
% 1.07/1.24  ; Path-index has 2,584 entries (2,584 at peak, 2,677 added, 93 deleted).
% 1.07/1.24  ; Path-index has 6,632 nodes (6,632 at peak, 6,765 added, 133 deleted).
% 1.07/1.24  ; Trie-index has 2,584 entries (2,584 at peak, 2,677 added, 93 deleted).
% 1.07/1.24  ; Trie-index has 9,578 nodes (9,578 at peak, 10,076 added, 498 deleted).
% 1.07/1.24  ; Retrieved 22,426 generalization terms in 25,303 calls.
% 1.07/1.24  ; Retrieved 1,399 instance terms in 653 calls.
% 1.07/1.24  ; Retrieved 135,306 unifiable terms in 3,905 calls.
% 1.07/1.24  ; 
% 1.07/1.24  ; The agenda of rows to process has 23 entries:
% 1.07/1.24  ;     2 with value 19              1 with value 33               1 with value 40
% 1.07/1.24  ;     1 with value 21              1 with value 34               2 with value 44
% 1.07/1.24  ;     1 with value 22              1 with value 35               1 with value 46
% 1.07/1.24  ;     1 with value 24              1 with value 36               1 with value 50
% 1.07/1.24  ;     3 with value 28              1 with value 38               2 with value 58
% 1.07/1.24  ;     3 with value 30
% 1.07/1.24  ; The agenda of input rows to give has 98 entries:
% 1.07/1.24  ;     2 with value 24              6 with value 32               1 with value 41
% 1.07/1.24  ;    11 with value 25              5 with value 33               4 with value 43
% 1.07/1.24  ;     9 with value 26              6 with value 34               2 with value 44
% 1.07/1.24  ;    18 with value 27              3 with value 35               5 with value 46
% 1.07/1.24  ;     2 with value 28              4 with value 37               1 with value 49
% 1.07/1.24  ;     7 with value 29              4 with value 38               2 with value 51
% 1.07/1.24  ;     1 with value 30              1 with value 39               1 with value 53
% 1.07/1.24  ;     3 with value 31
% 1.07/1.24  ; The agenda of rows to give has 1142 entries:
% 1.07/1.24  ;     2 with value (4 5)          74 with value (4 20)          14 with value (4 34)
% 1.07/1.24  ;     2 with value (4 6)          45 with value (4 21)          11 with value (4 35)
% 1.07/1.24  ;    11 with value (4 7)          70 with value (4 22)           5 with value (4 36)
% 1.07/1.24  ;     7 with value (4 8)          54 with value (4 23)          11 with value (4 37)
% 1.07/1.24  ;     9 with value (4 9)          41 with value (4 24)           3 with value (4 38)
% 1.07/1.24  ;     9 with value (4 10)         48 with value (4 25)           1 with value (4 39)
% 1.07/1.24  ;    11 with value (4 11)        101 with value (4 26)           5 with value (4 40)
% 1.07/1.24  ;    11 with value (4 12)         47 with value (4 27)           2 with value (4 41)
% 1.07/1.24  ;    24 with value (4 13)         28 with value (4 28)           3 with value (4 42)
% 1.07/1.24  ;    31 with value (4 14)         41 with value (4 29)           1 with value (4 45)
% 1.07/1.24  ;    53 with value (4 15)         27 with value (4 30)           7 with value (4 46)
% 1.07/1.24  ;    56 with value (4 16)         20 with value (4 31)           1 with value (4 47)
% 1.07/1.24  ;    71 with value (4 17)         19 with value (4 32)           2 with value (4 49)
% 1.07/1.24  ;    83 with value (4 18)         12 with value (4 33)           2 with value (4 50)
% 1.07/1.24  ;    67 with value (4 19)
% 1.07/1.24  Evaluation took:
% 1.07/1.24    0.759 seconds of real time
% 1.07/1.24    0.697498 seconds of user run time
% 1.07/1.24    0.060852 seconds of system run time
% 1.07/1.24    [Run times include 0.036 seconds GC run time.]
% 1.07/1.24    0 calls to %EVAL
% 1.07/1.24    0 page faults and
% 1.07/1.24    56,844,752 bytes consed.
% 1.07/1.24  :PROOF-FOUND
% 1.07/1.24  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T16:51:55
% 1.07/1.24  :PROOF-FOUND
% 1.07/1.24  * 
%------------------------------------------------------------------------------