TSTP Solution File: SWV153+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV153+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n027.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 21:31:58 EDT 2022

% Result   : Theorem 73.60s 73.76s
% Output   : Refutation 73.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   13 (   9 unt;   1 nHn;  13 RR)
%            Number of literals    :   20 (   7 equ;  10 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   18 (  18 usr;  10 con; 0-3 aty)
%            Number of variables   :    6 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(11,axiom,
    ( ~ leq(X,Y)
    | X = Y
    | gt(Y,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_gt2) ).

cnf(13,axiom,
    ( leq(X,pred(Y))
    | ~ gt(Y,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_gt_pred) ).

cnf(256,negated_conjecture,
    pv70 = sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_norm_0003) ).

cnf(261,negated_conjecture,
    ( ~ leq(n0,X)
    | ~ leq(X,pred(pv12))
    | a_select3(q,pv10,X) = divide(sqrt(times(minus(a_select3(center,X,n0),a_select2(x,pv10)),minus(a_select3(center,X,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_norm_0003) ).

cnf(262,plain,
    ( ~ leq(n0,X)
    | ~ leq(X,pred(pv12))
    | a_select3(q,pv10,X) = divide(sqrt(times(minus(a_select3(center,X,n0),a_select2(x,pv10)),minus(a_select3(center,X,n0),a_select2(x,pv10)))),pv70) ),
    inference('REWRITE',[status(thm)],[261,256,theory(equality)]) ).

cnf(264,negated_conjecture,
    leq(n0,'SKOLEMAAAV28'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_norm_0003) ).

cnf(265,negated_conjecture,
    leq('SKOLEMAAAV28',pv12),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_norm_0003) ).

cnf(266,negated_conjecture,
    pv12 != 'SKOLEMAAAV28',
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_norm_0003) ).

cnf(267,negated_conjecture,
    a_select3(q,pv10,'SKOLEMAAAV28') != divide(sqrt(times(minus(a_select3(center,'SKOLEMAAAV28',n0),a_select2(x,pv10)),minus(a_select3(center,'SKOLEMAAAV28',n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_norm_0003) ).

cnf(268,plain,
    a_select3(q,pv10,'SKOLEMAAAV28') != divide(sqrt(times(minus(a_select3(center,'SKOLEMAAAV28',n0),a_select2(x,pv10)),minus(a_select3(center,'SKOLEMAAAV28',n0),a_select2(x,pv10)))),pv70),
    inference('REWRITE',[status(thm)],[267,256,theory(equality)]) ).

cnf(554,plain,
    gt(pv12,'SKOLEMAAAV28'),
    inference('UR-RESOLVE',[status(thm)],[11,265,266]) ).

cnf(1273,plain,
    ~ leq('SKOLEMAAAV28',pred(pv12)),
    inference('UR-RESOLVE',[status(thm)],[262,264,268]) ).

cnf(38965,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[13,554]),1273]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SWV153+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.04/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n027.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Wed Jun 15 05:04:49 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.21/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.46  * 
% 0.21/0.46  * 
% 0.21/0.47  #<PACKAGE "SNARK-USER">
% 0.21/0.47  * 
% 0.21/0.47  SNARK-TPTP-OPTIONS
% 0.21/0.47  * 
% 0.21/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.47   (USE-FACTORING :POS)
% 0.21/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.47  * 
% 0.21/0.47  "."
% 0.21/0.47  * 
% 0.21/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T05:04:49
% 0.21/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-15T05:04:49
% 0.21/0.52  WARNING:
% 0.21/0.52     #:|true| is a proposition that occurs only positively; disabling rows that contain it.
% 73.60/73.76  
% 73.60/73.76  
% 73.60/73.76  #||
% 73.60/73.76  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 73.60/73.76  % SZS output start Refutation
% See solution above
% 73.60/73.77  ||#
% 73.60/73.77  
% 73.60/73.77  ; Summary of computation:
% 73.60/73.77  ;     90128 formulas have been input or derived (from 401 formulas).
% 73.60/73.77  ;     38965 (43%) were retained.  Of these,
% 73.60/73.77  ;            7 ( 0%) were simplified or subsumed later,
% 73.60/73.77  ;        38958 (100%) are still being kept.
% 73.60/73.77  ; 
% 73.60/73.77  ; Run time in seconds excluding printing time:
% 73.60/73.77  ;     0.023   0%   Read assertion file          (1 call)
% 73.60/73.77  ;     0.010   0%   Assert                       (92 calls)
% 73.60/73.77  ;     3.458   5%   Process new row              (88,997 calls)
% 73.60/73.77  ;    56.904  78%   Resolution                   (800 calls)
% 73.60/73.77  ;     0.068   0%   Paramodulation               (400 calls)
% 73.60/73.77  ;     0.000   0%   Factoring                    (1 call)
% 73.60/73.77  ;     0.470   1%   Condensing                   (32,808 calls)
% 73.60/73.77  ;     6.291   9%   Forward subsumption          (32,808 calls)
% 73.60/73.77  ;     1.636   2%   Backward subsumption         (17,692 calls)
% 73.60/73.77  ;     0.186   0%   Clause clause subsumption    (35,274 calls)
% 73.60/73.77  ;     2.378   3%   Forward simplification       (88,996 calls)
% 73.60/73.77  ;     1.385   2%   Backward simplification      (38,959 calls)
% 73.60/73.77  ;     0.140   0%   Ordering                     (125,959 calls)
% 73.60/73.77  ;     0.000   0%   Sortal reasoning             (32 calls)
% 73.60/73.77  ;     0.002   0%   Purity testing               (1 call)
% 73.60/73.77  ;     0.322   0%   Other
% 73.60/73.77  ;    73.273        Total
% 73.60/73.77  ;    73.300        Real time
% 73.60/73.77  ; 
% 73.60/73.78  ; Term-hash-array has 50,500 terms in all.
% 73.60/73.78  ; Feature-vector-row-index has 17,692 entries (17,692 at peak, 17,692 added, 0 deleted).
% 73.60/73.78  ; Feature-vector-row-index has 59,722 nodes (59,722 at peak, 59,722 added, 0 deleted).
% 73.60/73.78  ;  Retrieved 72,312 possibly forward subsuming rows in 32,808 calls.
% 73.60/73.78  ;  Retrieved 22,135 possibly backward subsumed rows in 17,692 calls.
% 73.60/73.78  ; Path-index has 50,515 entries (50,515 at peak, 50,519 added, 4 deleted).
% 73.60/73.78  ; Path-index has 3,507 nodes (3,507 at peak, 3,511 added, 4 deleted).
% 73.60/73.78  ; Trie-index has 50,515 entries (50,515 at peak, 50,519 added, 4 deleted).
% 73.60/73.78  ; Trie-index has 106,362 nodes (106,362 at peak, 106,370 added, 8 deleted).
% 73.60/73.78  ; Retrieved 175,509 generalization terms in 298,754 calls.
% 73.60/73.78  ; Retrieved 42,916 instance terms in 21,266 calls.
% 73.60/73.78  ; Retrieved 99,286,672 unifiable terms in 299,299 calls.
% 73.60/73.78  ; 
% 73.60/73.78  ; The agenda of rows to process has 7 entries:
% 73.60/73.78  ;     3 with value 8               4 with value 14
% 73.60/73.78  ; The agenda of rows to give has 38557 entries:
% 73.60/73.78  ;    92 with value (4 6)           6 with value (4 17)        2204 with value (4 29)
% 73.60/73.78  ;    47 with value (4 7)         306 with value (4 18)         161 with value (4 31)
% 73.60/73.78  ;    59 with value (4 8)       20471 with value (4 19)        2596 with value (4 32)
% 73.60/73.78  ;    32 with value (4 9)          11 with value (4 20)         464 with value (4 33)
% 73.60/73.78  ;     1 with value (4 10)         49 with value (4 21)           1 with value (4 44)
% 73.60/73.78  ;    13 with value (4 11)         41 with value (4 22)           1 with value (4 47)
% 73.60/73.78  ;    60 with value (4 13)        961 with value (4 23)           1 with value (4 59)
% 73.60/73.78  ;    23 with value (4 14)       5333 with value (4 24)           1 with value (4 62)
% 73.60/73.78  ;   129 with value (4 15)          8 with value (4 25)         320 with value (4 78)
% 73.60/73.78  ;     2 with value (4 16)         44 with value (4 28)        5120 with value (4 79)
% 73.60/73.78  Evaluation took:
% 73.60/73.78    73.305 seconds of real time
% 73.60/73.78    72.15105 seconds of user run time
% 73.60/73.78    1.143858 seconds of system run time
% 73.60/73.78    [Run times include 3.805 seconds GC run time.]
% 73.60/73.78    0 calls to %EVAL
% 73.60/73.78    0 page faults and
% 73.60/73.78    2,569,784,720 bytes consed.
% 73.60/73.78  :PROOF-FOUND
% 73.60/73.78  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T05:06:02
% 73.60/73.78  :PROOF-FOUND
% 73.60/73.78  * 
%------------------------------------------------------------------------------