TSTP Solution File: SWV372+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV372+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n026.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 21:33:05 EDT 2022

% Result   : Theorem 13.45s 13.64s
% Output   : Refutation 13.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   18 (  11 unt;   3 nHn;  13 RR)
%            Number of literals    :   26 (   9 equ;  11 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   5 con; 0-3 aty)
%            Number of variables   :   28 (  14 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(52,axiom,
    ( contains_cpq(triple(X,Y,Z),U)
    | ~ contains_slb(Y,U) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+3.ax',ax39) ).

cnf(53,axiom,
    ~ ok(triple(X,Y,bad)),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+3.ax',ax40) ).

cnf(59,axiom,
    findmin_cpq_eff(triple(X,create_slb,Y)) = triple(X,create_slb,bad),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+3.ax',ax46) ).

cnf(60,axiom,
    ( X = create_slb
    | contains_slb(X,findmin_pqp_res(Y))
    | findmin_cpq_eff(triple(Y,X,Z)) = triple(Y,update_slb(X,findmin_pqp_res(Y)),bad) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+3.ax',ax47) ).

cnf(64,axiom,
    ( X = create_slb
    | findmin_cpq_res(triple(Y,X,Z)) = findmin_pqp_res(Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+3.ax',ax51) ).

cnf(87,axiom,
    ( ~ contains_cpq(triple(X,Y,Z),U)
    | contains_pq(i(triple(X,Y,Z)),U) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l8_li56) ).

cnf(90,axiom,
    ( ok(triple(X,Y,Z))
    | ~ phi(triple(X,Y,Z)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l8_lX) ).

cnf(91,negated_conjecture,
    phi(findmin_cpq_eff(triple('SKOLEMAAAV5','SKOLEMAAAV6','SKOLEMAAAV7'))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l8_co) ).

cnf(92,negated_conjecture,
    ~ contains_pq(i(triple('SKOLEMAAAV5','SKOLEMAAAV6','SKOLEMAAAV7')),findmin_cpq_res(triple('SKOLEMAAAV5','SKOLEMAAAV6','SKOLEMAAAV7'))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l8_co) ).

cnf(114,plain,
    ~ ok(findmin_cpq_eff(triple(X,create_slb,Y))),
    inference('PARAMODULATE',[status(thm)],[53,59,theory(equality)]) ).

cnf(131,plain,
    ~ phi(triple(X,Y,bad)),
    inference('UR-RESOLVE',[status(thm)],[90,53]) ).

cnf(132,plain,
    ~ phi(findmin_cpq_eff(triple(X,create_slb,Y))),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[90,59,theory(equality)]),114]) ).

cnf(148,plain,
    ~ contains_cpq(triple('SKOLEMAAAV5','SKOLEMAAAV6','SKOLEMAAAV7'),findmin_cpq_res(triple('SKOLEMAAAV5','SKOLEMAAAV6','SKOLEMAAAV7'))),
    inference('UR-RESOLVE',[status(thm)],[87,92]) ).

cnf(496,plain,
    ~ contains_slb('SKOLEMAAAV6',findmin_cpq_res(triple('SKOLEMAAAV5','SKOLEMAAAV6','SKOLEMAAAV7'))),
    inference('UR-RESOLVE',[status(thm)],[52,148]) ).

cnf(498,plain,
    ( 'SKOLEMAAAV6' = create_slb
    | ~ contains_slb('SKOLEMAAAV6',findmin_pqp_res('SKOLEMAAAV5')) ),
    inference('PARAMODULATE',[status(thm)],[496,64,theory(equality)]) ).

cnf(502,plain,
    ( 'SKOLEMAAAV6' = create_slb
    | findmin_cpq_eff(triple('SKOLEMAAAV5','SKOLEMAAAV6',X)) = triple('SKOLEMAAAV5',update_slb('SKOLEMAAAV6',findmin_pqp_res('SKOLEMAAAV5')),bad) ),
    inference('HYPERRESOLVE',[status(thm)],[498,60]) ).

cnf(22555,plain,
    'SKOLEMAAAV6' = create_slb,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[91,502,theory(equality)]),131]) ).

cnf(22556,plain,
    $false,
    inference('REWRITE',[status(thm)],[91,132,22555,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SWV372+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n026.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % 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 15:16:51 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 2022-06-14T15:16:52
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-14T15:16:52
% 13.45/13.64  
% 13.45/13.64  
% 13.45/13.64  #||
% 13.45/13.64  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.45/13.64  % SZS output start Refutation
% See solution above
% 13.45/13.64  ||#
% 13.45/13.64  
% 13.45/13.64  ; Summary of computation:
% 13.45/13.64  ;    133722 formulas have been input or derived (from 4027 formulas).
% 13.45/13.64  ;     22556 (17%) were retained.  Of these,
% 13.45/13.64  ;         1889 ( 8%) were simplified or subsumed later,
% 13.45/13.64  ;        20667 (92%) are still being kept.
% 13.45/13.64  ; 
% 13.45/13.64  ; Run time in seconds excluding printing time:
% 13.45/13.64  ;     0.017   0%   Read assertion file          (1 call)
% 13.45/13.64  ;     0.002   0%   Assert                       (66 calls)
% 13.45/13.64  ;     2.294  17%   Process new row              (128,430 calls)
% 13.45/13.64  ;     1.289  10%   Resolution                   (8,052 calls)
% 13.45/13.64  ;     1.104   8%   Paramodulation               (4,026 calls)
% 13.45/13.64  ;     0.000   0%   Factoring                    (98 calls)
% 13.45/13.64  ;     0.599   5%   Condensing                   (9,145 calls)
% 13.45/13.64  ;     0.956   7%   Forward subsumption          (9,145 calls)
% 13.45/13.64  ;     0.295   2%   Backward subsumption         (4,792 calls)
% 13.45/13.64  ;     0.310   2%   Clause clause subsumption    (24,825 calls)
% 13.45/13.64  ;     4.523  34%   Forward simplification       (126,951 calls)
% 13.45/13.64  ;     0.357   3%   Backward simplification      (22,556 calls)
% 13.45/13.64  ;     0.980   7%   Ordering                     (396,877 calls)
% 13.45/13.64  ;     0.000   0%   Sortal reasoning             (32 calls)
% 13.45/13.64  ;     0.001   0%   Purity testing               (1 call)
% 13.45/13.64  ;     0.446   3%   Other
% 13.45/13.64  ;    13.173        Total
% 13.45/13.64  ;    13.175        Real time
% 13.45/13.64  ; 
% 13.45/13.65  ; Term-hash-array has 44,563 terms in all.
% 13.45/13.65  ; Feature-vector-row-index has 4,082 entries (4,755 at peak, 4,792 added, 710 deleted).
% 13.45/13.65  ; Feature-vector-row-index has 42,152 nodes (48,290 at peak, 48,705 added, 6,553 deleted).
% 13.45/13.65  ;  Retrieved 37,895 possibly forward subsuming rows in 9,145 calls.
% 13.45/13.65  ;  Retrieved 1,992 possibly backward subsumed rows in 4,792 calls.
% 13.45/13.65  ; Path-index has 41,174 entries (44,302 at peak, 44,621 added, 3,447 deleted).
% 13.45/13.65  ; Path-index has 115,087 nodes (119,866 at peak, 120,232 added, 5,145 deleted).
% 13.45/13.65  ; Trie-index has 41,174 entries (44,302 at peak, 44,621 added, 3,447 deleted).
% 13.45/13.65  ; Trie-index has 186,558 nodes (204,829 at peak, 206,056 added, 19,498 deleted).
% 13.45/13.65  ; Retrieved 746,875 generalization terms in 920,842 calls.
% 13.45/13.65  ; Retrieved 20,990 instance terms in 17,839 calls.
% 13.45/13.65  ; Retrieved 596,846 unifiable terms in 169,129 calls.
% 13.45/13.65  ; 
% 13.45/13.65  ; The agenda of backward simplifiable rows to process has 1701 entries:
% 13.45/13.65  ;  1701 with value 0
% 13.45/13.65  ; The agenda of rows to process has 2078 entries:
% 13.45/13.65  ;     4 with value 21             51 with value 31              44 with value 40
% 13.45/13.65  ;     3 with value 22             48 with value 32              79 with value 41
% 13.45/13.65  ;     5 with value 23             58 with value 33              96 with value 42
% 13.45/13.65  ;     6 with value 24             63 with value 34              82 with value 43
% 13.45/13.65  ;    10 with value 25            108 with value 35              40 with value 44
% 13.45/13.65  ;     4 with value 26            190 with value 36              96 with value 45
% 13.45/13.65  ;    22 with value 27            233 with value 37              20 with value 46
% 13.45/13.65  ;    16 with value 28            318 with value 38              22 with value 47
% 13.45/13.65  ;    25 with value 29            370 with value 39              18 with value 48
% 13.45/13.65  ;    47 with value 30
% 13.45/13.65  ; The agenda of rows to give has 16851 entries:
% 13.45/13.65  ;     1 with value (4 9)          63 with value (4 59)          26 with value (4 93)
% 13.45/13.65  ;  1740 with value (4 25)         71 with value (4 60)          34 with value (4 94)
% 13.45/13.65  ;  2425 with value (4 26)         47 with value (4 61)          20 with value (4 95)
% 13.45/13.65  ;  3756 with value (4 27)         58 with value (4 62)          19 with value (4 96)
% 13.45/13.65  ;  2455 with value (4 28)         52 with value (4 63)          10 with value (4 97)
% 13.45/13.65  ;   310 with value (4 29)         34 with value (4 64)           7 with value (4 98)
% 13.45/13.65  ;   424 with value (4 30)         67 with value (4 65)          21 with value (4 99)
% 13.45/13.65  ;   380 with value (4 31)         58 with value (4 66)          12 with value (4 100)
% 13.45/13.65  ;   517 with value (4 32)         47 with value (4 67)           5 with value (4 101)
% 13.45/13.65  ;   373 with value (4 33)         49 with value (4 68)           6 with value (4 102)
% 13.45/13.65  ;   190 with value (4 34)         63 with value (4 69)           2 with value (4 103)
% 13.45/13.65  ;   214 with value (4 35)         35 with value (4 70)           1 with value (4 104)
% 13.45/13.65  ;   198 with value (4 36)         38 with value (4 71)           5 with value (4 105)
% 13.45/13.65  ;   243 with value (4 37)         40 with value (4 72)           7 with value (4 106)
% 13.45/13.65  ;   222 with value (4 38)         24 with value (4 73)           1 with value (4 107)
% 13.45/13.65  ;   235 with value (4 39)         42 with value (4 74)           2 with value (4 108)
% 13.45/13.65  ;   193 with value (4 40)         32 with value (4 75)           3 with value (4 109)
% 13.45/13.65  ;   165 with value (4 41)         30 with value (4 76)           2 with value (4 110)
% 13.45/13.65  ;   152 with value (4 42)         26 with value (4 77)           1 with value (4 111)
% 13.45/13.65  ;   139 with value (4 43)         26 with value (4 78)           3 with value (4 112)
% 13.45/13.65  ;   120 with value (4 44)         19 with value (4 79)           4 with value (4 113)
% 13.45/13.65  ;    60 with value (4 45)         36 with value (4 80)           8 with value (4 114)
% 13.45/13.65  ;    70 with value (4 46)         36 with value (4 81)           5 with value (4 115)
% 13.45/13.65  ;    71 with value (4 47)         17 with value (4 82)           1 with value (4 116)
% 13.45/13.65  ;    48 with value (4 48)         29 with value (4 83)           4 with value (4 118)
% 13.45/13.65  ;    85 with value (4 49)         40 with value (4 84)           1 with value (4 120)
% 13.45/13.65  ;    57 with value (4 50)         18 with value (4 85)           3 with value (4 121)
% 13.45/13.65  ;    54 with value (4 51)         20 with value (4 86)           3 with value (4 122)
% 13.45/13.65  ;    56 with value (4 52)         15 with value (4 87)           3 with value (4 123)
% 13.45/13.65  ;    70 with value (4 53)         30 with value (4 88)           1 with value (4 125)
% 13.45/13.65  ;    53 with value (4 54)         20 with value (4 89)           2 with value (4 128)
% 13.45/13.65  ;    57 with value (4 55)         31 with value (4 90)           2 with value (4 130)
% 13.45/13.65  ;   103 with value (4 56)         20 with value (4 91)           1 with value (4 132)
% 13.45/13.65  ;    57 with value (4 57)         27 with value (4 92)           1 with value (4 146)
% 13.45/13.65  ;    72 with value (4 58)
% 13.45/13.65  Evaluation took:
% 13.45/13.65    13.181 seconds of real time
% 13.45/13.65    11.938595 seconds of user run time
% 13.45/13.65    1.242871 seconds of system run time
% 13.45/13.65    [Run times include 2.414 seconds GC run time.]
% 13.45/13.65    0 calls to %EVAL
% 13.45/13.65    0 page faults and
% 13.45/13.65    990,675,304 bytes consed.
% 13.45/13.65  :PROOF-FOUND
% 13.45/13.65  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T15:17:05
% 13.45/13.65  :PROOF-FOUND
% 13.45/13.65  * 
%------------------------------------------------------------------------------