TSTP Solution File: SWV884-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV884-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n028.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 3.39s 3.61s
% Output   : Refutation 3.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    7 (   5 unt;   0 nHn;   5 RR)
%            Number of literals    :   10 (   0 equ;   4 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   7 con; 0-4 aty)
%            Number of variables   :   11 (   0 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/sandbox2/benchmark/theBenchmark.p',cls_insert__subset_2) ).

cnf(cls_rev__image__eqI_0,axiom,
    ( ~ c_in(X,Y,Z)
    | c_in(hAPP(U,X),c_Set_Oimage(U,Y,Z,V),V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__image__eqI_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    c_lessequals(v_G,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(cls_conjecture_4,negated_conjecture,
    c_in(v_pn,v_U,tc_Com_Opname),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

cnf(cls_conjecture_6,negated_conjecture,
    ~ c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),v_G,t_a),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).

cnf(1528,plain,
    c_in(hAPP(X,v_pn),c_Set_Oimage(X,v_U,tc_Com_Opname,Y),Y),
    inference('HYPERRESOLVE',[status(thm)],[cls_rev__image__eqI_0,cls_conjecture_4]) ).

cnf(3843,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_insert__subset_2,cls_conjecture_6,cls_conjecture_1]),1528]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV884-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n028.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 : Tue Jun 14 18:04:09 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-06-14T18:04:09
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-14T18:04:09
% 0.50/0.70  
% 0.50/0.70  ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 0.50/0.72  WARNING:
% 0.50/0.72     |class_Ring__and__Field_Oring__1| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.50/0.72  WARNING:
% 0.50/0.72     |class_Ring__and__Field_Ocomm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.50/0.72  WARNING:
% 0.50/0.72     |class_OrderedGroup_Ogroup__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.50/0.72  WARNING:
% 0.50/0.72     |class_Ring__and__Field_Ocomm__ring__1| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.50/0.72  WARNING:
% 0.50/0.72     |class_Divides_Oring__div| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.50/0.72  WARNING:
% 0.50/0.72     |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.50/0.72  WARNING:
% 0.50/0.72     |class_OrderedGroup_Opordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.50/0.72  WARNING:
% 0.50/0.72     |class_Ring__and__Field_Oring__no__zero__divisors| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.50/0.72  WARNING:
% 0.50/0.72     |class_Ring__and__Field_Oordered__idom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.50/0.72  WARNING:
% 0.50/0.72     |class_Ring__and__Field_Opordered__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.50/0.72  WARNING:
% 0.50/0.72     |class_Ring__and__Field_Oordered__ring__strict| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.50/0.72  WARNING:
% 0.50/0.72     |class_Ring__and__Field_Oring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.50/0.72  WARNING:
% 0.50/0.72     |class_Int_Onumber__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.50/0.72  WARNING:
% 0.50/0.72     |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.50/0.72  WARNING:
% 0.50/0.72     |class_OrderedGroup_Olordered__ab__group__add__meet| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.50/0.72  WARNING:
% 0.50/0.72     |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.50/0.72  WARNING:
% 0.50/0.72     |class_OrderedGroup_Olordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 3.39/3.61  ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 3.39/3.61  
% 3.39/3.61  #||
% 3.39/3.61  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.39/3.61  % SZS output start Refutation
% See solution above
% 3.39/3.61  ||#
% 3.39/3.61  
% 3.39/3.61  ; Summary of computation:
% 3.39/3.61  ;     13262 formulas have been input or derived (from 595 formulas).
% 3.39/3.61  ;      3843 (29%) were retained.  Of these,
% 3.39/3.61  ;          163 ( 4%) were simplified or subsumed later,
% 3.39/3.61  ;         3680 (96%) are still being kept.
% 3.39/3.61  ; 
% 3.39/3.61  ; Run time in seconds:
% 3.39/3.61  ;     0.206   7%   Read assertion file          (1 call)
% 3.39/3.61  ;     0.020   1%   Assert                       (1,121 calls)
% 3.39/3.61  ;     0.373  12%   Process new row              (11,764 calls)
% 3.39/3.61  ;     0.259   8%   Resolution                   (1,188 calls)
% 3.39/3.61  ;     0.036   1%   Paramodulation               (594 calls)
% 3.39/3.61  ;     0.001   0%   Factoring                    (18 calls)
% 3.39/3.61  ;     0.064   2%   Condensing                   (5,009 calls)
% 3.39/3.61  ;     0.236   8%   Forward subsumption          (5,009 calls)
% 3.39/3.61  ;     0.120   4%   Backward subsumption         (2,589 calls)
% 3.39/3.61  ;     0.071   2%   Clause clause subsumption    (21,399 calls)
% 3.39/3.61  ;     0.397  13%   Forward simplification       (11,630 calls)
% 3.39/3.61  ;     0.049   2%   Backward simplification      (3,814 calls)
% 3.39/3.61  ;     1.231  39%   Ordering                     (35,637 calls)
% 3.39/3.61  ;     0.001   0%   Sortal reasoning             (32 calls)
% 3.39/3.61  ;     0.009   0%   Purity testing               (1 call)
% 3.39/3.61  ;     0.069   2%   Other
% 3.39/3.61  ;     3.142        Total
% 3.39/3.61  ;     3.142        Real time
% 3.39/3.61  ; 
% 3.39/3.61  ; Term-hash-array has 6,818 terms in all.
% 3.39/3.61  ; Feature-vector-row-index has 2,532 entries (2,532 at peak, 2,589 added, 57 deleted).
% 3.39/3.61  ; Feature-vector-row-index has 10,120 nodes (10,120 at peak, 10,563 added, 443 deleted).
% 3.39/3.61  ;  Retrieved 34,343 possibly forward subsuming rows in 5,009 calls.
% 3.39/3.61  ;  Retrieved 3,079 possibly backward subsumed rows in 2,589 calls.
% 3.39/3.61  ; Path-index has 6,597 entries (6,597 at peak, 6,917 added, 320 deleted).
% 3.39/3.61  ; Path-index has 24,171 nodes (24,171 at peak, 26,128 added, 1,957 deleted).
% 3.39/3.61  ; Trie-index has 6,597 entries (6,597 at peak, 6,917 added, 320 deleted).
% 3.39/3.61  ; Trie-index has 30,750 nodes (30,750 at peak, 35,465 added, 4,715 deleted).
% 3.39/3.61  ; Retrieved 60,060 generalization terms in 62,420 calls.
% 3.39/3.61  ; Retrieved 3,701 instance terms in 1,391 calls.
% 3.39/3.61  ; Retrieved 359,489 unifiable terms in 6,424 calls.
% 3.39/3.61  ; 
% 3.39/3.61  ; The agenda of rows to process has 71 entries:
% 3.39/3.61  ;     1 with value 17              3 with value 36               1 with value 45
% 3.39/3.61  ;     6 with value 19              9 with value 37               8 with value 46
% 3.39/3.61  ;     1 with value 26              9 with value 38               7 with value 47
% 3.39/3.61  ;     2 with value 28              5 with value 40               2 with value 48
% 3.39/3.61  ;     1 with value 30              3 with value 42               1 with value 49
% 3.39/3.61  ;     6 with value 31              3 with value 43               2 with value 58
% 3.39/3.61  ;     1 with value 35
% 3.39/3.61  ; The agenda of input rows to give has 185 entries:
% 3.39/3.61  ;     4 with value 24             12 with value 32               2 with value 40
% 3.39/3.61  ;    23 with value 25              6 with value 33               3 with value 42
% 3.39/3.61  ;    12 with value 26              6 with value 34               8 with value 43
% 3.39/3.61  ;    46 with value 27              7 with value 35               8 with value 44
% 3.39/3.61  ;    10 with value 28              1 with value 36               2 with value 46
% 3.39/3.61  ;     8 with value 29              3 with value 37               1 with value 49
% 3.39/3.61  ;     6 with value 30              4 with value 38               3 with value 51
% 3.39/3.61  ;     3 with value 31              6 with value 39               1 with value 53
% 3.39/3.61  ; The agenda of rows to give has 2904 entries:
% 3.39/3.61  ;     1 with value (4 4)         172 with value (4 26)           2 with value (4 48)
% 3.39/3.61  ;     2 with value (4 5)         119 with value (4 27)           7 with value (4 49)
% 3.39/3.61  ;     2 with value (4 6)          83 with value (4 28)          23 with value (4 50)
% 3.39/3.61  ;    17 with value (4 7)          87 with value (4 29)          12 with value (4 51)
% 3.39/3.61  ;     9 with value (4 8)         104 with value (4 30)           3 with value (4 52)
% 3.39/3.61  ;    14 with value (4 9)          79 with value (4 31)           2 with value (4 54)
% 3.39/3.61  ;    23 with value (4 10)         87 with value (4 32)           1 with value (4 55)
% 3.39/3.61  ;    28 with value (4 11)         81 with value (4 33)          10 with value (4 56)
% 3.39/3.61  ;    28 with value (4 12)         80 with value (4 34)           2 with value (4 57)
% 3.39/3.61  ;    52 with value (4 13)         53 with value (4 35)           4 with value (4 58)
% 3.39/3.61  ;    62 with value (4 14)         84 with value (4 36)           1 with value (4 60)
% 3.39/3.61  ;    90 with value (4 15)         55 with value (4 37)           1 with value (4 63)
% 3.39/3.61  ;    90 with value (4 16)         41 with value (4 38)           4 with value (4 80)
% 3.39/3.61  ;   130 with value (4 17)         56 with value (4 39)           6 with value (4 83)
% 3.39/3.61  ;   127 with value (4 18)         36 with value (4 40)           1 with value (4 84)
% 3.39/3.61  ;   105 with value (4 19)         33 with value (4 41)           4 with value (4 87)
% 3.39/3.61  ;   132 with value (4 20)         20 with value (4 42)           1 with value (4 91)
% 3.39/3.61  ;    92 with value (4 21)          9 with value (4 43)           1 with value (4 163)
% 3.39/3.61  ;   132 with value (4 22)         13 with value (4 44)           2 with value (4 176)
% 3.39/3.61  ;   109 with value (4 23)          9 with value (4 45)           1 with value (4 234)
% 3.39/3.61  ;   122 with value (4 24)         19 with value (4 46)           1 with value (4 353)
% 3.39/3.61  ;   116 with value (4 25)         12 with value (4 47)
% 3.39/3.61  Evaluation took:
% 3.39/3.61    3.144 seconds of real time
% 3.39/3.61    2.965225 seconds of user run time
% 3.39/3.61    0.179103 seconds of system run time
% 3.39/3.61    [Run times include 0.22 seconds GC run time.]
% 3.39/3.61    0 calls to %EVAL
% 3.39/3.61    0 page faults and
% 3.39/3.61    212,706,984 bytes consed.
% 3.39/3.61  :PROOF-FOUND
% 3.39/3.61  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T18:04:12
% 3.39/3.61  :PROOF-FOUND
% 3.39/3.61  * 
%------------------------------------------------------------------------------