TSTP Solution File: SWV381+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV381+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n009.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 21:33:06 EDT 2022

% Result   : Theorem 4.50s 4.72s
% Output   : Refutation 4.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   13 (   6 unt;   4 nHn;  10 RR)
%            Number of literals    :   22 (   0 equ;   8 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-3 aty)
%            Number of variables   :   18 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,axiom,
    ( less_than(X,Y)
    | less_than(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+0.ax',totality) ).

cnf(6,axiom,
    ( strictly_less_than(X,Y)
    | ~ less_than(X,Y)
    | less_than(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+0.ax',stricly_smaller_definition) ).

cnf(15,axiom,
    ( issmallestelement_pq(X,Y)
    | contains_pq(X,'SKOLEMAAAU1'(X,Y)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+1.ax',ax10) ).

cnf(16,axiom,
    ( issmallestelement_pq(X,Y)
    | ~ less_than(Y,'SKOLEMAAAU1'(X,Y)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+1.ax',ax10) ).

cnf(88,axiom,
    ( contains_cpq(triple(X,Y,Z),U)
    | ~ contains_pq(i(triple(X,Y,Z)),U) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l17_li56) ).

cnf(89,axiom,
    ( ~ contains_cpq(triple(X,Y,Z),U)
    | ~ strictly_less_than(U,findmin_cpq_res(triple(X,Y,Z)))
    | ~ phi(findmin_cpq_eff(triple(X,Y,Z))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l17_l18) ).

cnf(90,negated_conjecture,
    phi(findmin_cpq_eff(triple('SKOLEMAAAU5','SKOLEMAAAU6','SKOLEMAAAU7'))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l17_co) ).

cnf(91,negated_conjecture,
    ~ issmallestelement_pq(i(triple('SKOLEMAAAU5','SKOLEMAAAU6','SKOLEMAAAU7')),findmin_cpq_res(triple('SKOLEMAAAU5','SKOLEMAAAU6','SKOLEMAAAU7'))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l17_co) ).

cnf(110,plain,
    ( less_than(X,Y)
    | strictly_less_than(Y,X) ),
    inference('HYPERRESOLVE',[status(thm)],[6,2]) ).

cnf(132,plain,
    contains_pq(i(triple('SKOLEMAAAU5','SKOLEMAAAU6','SKOLEMAAAU7')),'SKOLEMAAAU1'(i(triple('SKOLEMAAAU5','SKOLEMAAAU6','SKOLEMAAAU7')),findmin_cpq_res(triple('SKOLEMAAAU5','SKOLEMAAAU6','SKOLEMAAAU7')))),
    inference('HYPERRESOLVE',[status(thm)],[91,15]) ).

cnf(133,plain,
    ~ less_than(findmin_cpq_res(triple('SKOLEMAAAU5','SKOLEMAAAU6','SKOLEMAAAU7')),'SKOLEMAAAU1'(i(triple('SKOLEMAAAU5','SKOLEMAAAU6','SKOLEMAAAU7')),findmin_cpq_res(triple('SKOLEMAAAU5','SKOLEMAAAU6','SKOLEMAAAU7')))),
    inference('UR-RESOLVE',[status(thm)],[16,91]) ).

cnf(5958,plain,
    contains_cpq(triple('SKOLEMAAAU5','SKOLEMAAAU6','SKOLEMAAAU7'),'SKOLEMAAAU1'(i(triple('SKOLEMAAAU5','SKOLEMAAAU6','SKOLEMAAAU7')),findmin_cpq_res(triple('SKOLEMAAAU5','SKOLEMAAAU6','SKOLEMAAAU7')))),
    inference('HYPERRESOLVE',[status(thm)],[88,132]) ).

cnf(8889,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[89,5958,110,90]),133]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem  : SWV381+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.11  % Command  : run-snark %s %d
% 0.10/0.32  % Computer : n009.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit : 300
% 0.10/0.32  % WCLimit  : 600
% 0.10/0.32  % DateTime : Tue Jun 14 18:51:53 EDT 2022
% 0.10/0.32  % CPUTime  : 
% 0.17/0.44  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.45  * 
% 0.17/0.45  * 
% 0.17/0.45  #<PACKAGE "SNARK-USER">
% 0.17/0.45  * 
% 0.17/0.45  SNARK-TPTP-OPTIONS
% 0.17/0.45  * 
% 0.17/0.45  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.17/0.45   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.17/0.45   (USE-FACTORING :POS)
% 0.17/0.45   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.17/0.45   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.17/0.45   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.17/0.45   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.17/0.45   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.17/0.45   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.17/0.45   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.17/0.45   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.17/0.45   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.17/0.45   (DECLARE-TPTP-SYMBOLS2))
% 0.17/0.45  * 
% 0.17/0.45  "."
% 0.17/0.45  * 
% 0.17/0.45  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T18:51:53
% 0.17/0.45  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n009.cluster.edu at 2022-06-14T18:51:53
% 4.50/4.72  
% 4.50/4.72  
% 4.50/4.72  #||
% 4.50/4.72  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.50/4.72  % SZS output start Refutation
% See solution above
% 4.55/4.72  ||#
% 4.55/4.72  
% 4.55/4.72  ; Summary of computation:
% 4.55/4.72  ;     56340 formulas have been input or derived (from 1830 formulas).
% 4.55/4.72  ;      8889 (16%) were retained.  Of these,
% 4.55/4.72  ;           77 ( 1%) were simplified or subsumed later,
% 4.55/4.72  ;         8812 (99%) are still being kept.
% 4.55/4.72  ; 
% 4.55/4.72  ; Run time in seconds excluding printing time:
% 4.55/4.72  ;     0.017   0%   Read assertion file          (1 call)
% 4.55/4.72  ;     0.003   0%   Assert                       (65 calls)
% 4.55/4.72  ;     0.690  16%   Process new row              (55,672 calls)
% 4.55/4.72  ;     0.474  11%   Resolution                   (3,658 calls)
% 4.55/4.72  ;     0.273   6%   Paramodulation               (1,829 calls)
% 4.55/4.72  ;     0.000   0%   Factoring                    (54 calls)
% 4.55/4.72  ;     0.267   6%   Condensing                   (2,835 calls)
% 4.55/4.72  ;     0.162   4%   Forward subsumption          (2,835 calls)
% 4.55/4.72  ;     0.099   2%   Backward subsumption         (1,385 calls)
% 4.55/4.72  ;     0.146   3%   Clause clause subsumption    (5,420 calls)
% 4.55/4.72  ;     1.545  36%   Forward simplification       (55,669 calls)
% 4.55/4.72  ;     0.073   2%   Backward simplification      (8,889 calls)
% 4.55/4.72  ;     0.332   8%   Ordering                     (148,959 calls)
% 4.55/4.72  ;     0.000   0%   Sortal reasoning             (32 calls)
% 4.55/4.72  ;     0.000   0%   Purity testing               (1 call)
% 4.55/4.72  ;     0.184   4%   Other
% 4.55/4.72  ;     4.265        Total
% 4.55/4.72  ;     4.266        Real time
% 4.55/4.72  ; 
% 4.55/4.72  ; Term-hash-array has 17,612 terms in all.
% 4.55/4.72  ; Feature-vector-row-index has 1,360 entries (1,360 at peak, 1,385 added, 25 deleted).
% 4.55/4.72  ; Feature-vector-row-index has 14,681 nodes (14,681 at peak, 14,985 added, 304 deleted).
% 4.55/4.72  ;  Retrieved 10,950 possibly forward subsuming rows in 2,835 calls.
% 4.55/4.72  ;  Retrieved 183 possibly backward subsumed rows in 1,385 calls.
% 4.55/4.72  ; Path-index has 17,471 entries (17,471 at peak, 17,652 added, 181 deleted).
% 4.55/4.72  ; Path-index has 52,746 nodes (52,746 at peak, 52,926 added, 180 deleted).
% 4.55/4.72  ; Trie-index has 17,471 entries (17,471 at peak, 17,652 added, 181 deleted).
% 4.55/4.72  ; Trie-index has 78,104 nodes (78,104 at peak, 78,638 added, 534 deleted).
% 4.55/4.72  ; Retrieved 323,514 generalization terms in 396,305 calls.
% 4.55/4.72  ; Retrieved 8,945 instance terms in 7,537 calls.
% 4.55/4.72  ; Retrieved 137,681 unifiable terms in 26,904 calls.
% 4.55/4.72  ; 
% 4.55/4.72  ; The agenda of rows to process has 4 entries:
% 4.55/4.72  ;     4 with value 24
% 4.55/4.72  ; The agenda of rows to give has 6990 entries:
% 4.55/4.72  ;     1 with value (4 20)         26 with value (4 47)           6 with value (4 72)
% 4.55/4.72  ;    15 with value (4 22)         20 with value (4 48)           3 with value (4 73)
% 4.55/4.72  ;   720 with value (4 23)         35 with value (4 49)           5 with value (4 74)
% 4.55/4.72  ;  1189 with value (4 24)         36 with value (4 50)           5 with value (4 75)
% 4.55/4.72  ;  1700 with value (4 25)         18 with value (4 51)           4 with value (4 76)
% 4.55/4.72  ;  1039 with value (4 26)         28 with value (4 52)           3 with value (4 77)
% 4.55/4.72  ;   185 with value (4 27)         26 with value (4 53)           4 with value (4 78)
% 4.55/4.72  ;   236 with value (4 28)         25 with value (4 54)           6 with value (4 79)
% 4.55/4.72  ;   137 with value (4 29)         21 with value (4 55)          12 with value (4 80)
% 4.55/4.72  ;   171 with value (4 30)         37 with value (4 56)           2 with value (4 81)
% 4.55/4.72  ;   119 with value (4 31)         24 with value (4 57)           1 with value (4 82)
% 4.55/4.72  ;   117 with value (4 32)         18 with value (4 58)           7 with value (4 83)
% 4.55/4.72  ;   119 with value (4 33)         21 with value (4 59)           8 with value (4 84)
% 4.55/4.72  ;    84 with value (4 34)         24 with value (4 60)           7 with value (4 85)
% 4.55/4.72  ;    62 with value (4 35)         13 with value (4 61)           7 with value (4 86)
% 4.55/4.72  ;    97 with value (4 36)         21 with value (4 62)           7 with value (4 87)
% 4.55/4.72  ;    96 with value (4 37)         17 with value (4 63)           7 with value (4 88)
% 4.55/4.72  ;    72 with value (4 38)         12 with value (4 64)           8 with value (4 89)
% 4.55/4.72  ;    47 with value (4 39)         14 with value (4 65)           3 with value (4 90)
% 4.55/4.72  ;    34 with value (4 40)          9 with value (4 66)           7 with value (4 91)
% 4.55/4.72  ;    50 with value (4 41)         11 with value (4 67)           5 with value (4 92)
% 4.55/4.72  ;    25 with value (4 42)          8 with value (4 68)           2 with value (4 93)
% 4.55/4.72  ;    10 with value (4 43)         11 with value (4 69)           8 with value (4 94)
% 4.55/4.72  ;     9 with value (4 44)          4 with value (4 70)           2 with value (4 99)
% 4.55/4.72  ;    21 with value (4 45)          5 with value (4 71)           1 with value (4 100)
% 4.55/4.72  ;    21 with value (4 46)
% 4.55/4.72  Evaluation took:
% 4.55/4.72    4.269 seconds of real time
% 4.55/4.72    3.839649 seconds of user run time
% 4.55/4.72    0.428872 seconds of system run time
% 4.55/4.72    [Run times include 0.461 seconds GC run time.]
% 4.55/4.72    0 calls to %EVAL
% 4.55/4.72    0 page faults and
% 4.55/4.72    351,421,696 bytes consed.
% 4.55/4.72  :PROOF-FOUND
% 4.55/4.72  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T18:51:57
% 4.55/4.72  :PROOF-FOUND
% 4.55/4.72  * 
%------------------------------------------------------------------------------