TSTP Solution File: SWV152+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV152+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n004.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 21.94s 22.13s
% Output   : Refutation 21.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   11 (   8 unt;   0 nHn;  11 RR)
%            Number of literals    :   15 (   3 equ;   5 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :    6 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(3,axiom,
    ~ gt(X,X),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',irreflexivity_gt) ).

cnf(15,axiom,
    ( ~ leq(X,Y)
    | leq(X,succ(Y)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_succ) ).

cnf(16,axiom,
    ( ~ leq(X,Y)
    | gt(succ(Y),X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_succ_gt_equiv) ).

cnf(225,axiom,
    succ(tptp_minus_1) = n0,
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_tptp_minus_1) ).

cnf(256,negated_conjecture,
    leq(n0,'SKOLEMAAAV28'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_norm_0002) ).

cnf(257,negated_conjecture,
    leq('SKOLEMAAAV28',tptp_minus_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_norm_0002) ).

cnf(282,axiom,
    ( ~ leq(n0,X)
    | ~ leq(X,n0)
    | X = n0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',finite_domain_0) ).

cnf(352,plain,
    leq('SKOLEMAAAV28',n0),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[15,257]),225,theory(equality)]) ).

cnf(354,plain,
    gt(n0,'SKOLEMAAAV28'),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[16,257]),225,theory(equality)]) ).

cnf(15520,plain,
    n0 = 'SKOLEMAAAV28',
    inference('HYPERRESOLVE',[status(thm)],[282,352,256]) ).

cnf(15523,plain,
    $false,
    inference('REWRITE',[status(thm)],[354,3,15520,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWV152+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.11/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n004.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
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Thu Jun 16 06:00:38 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46  * 
% 0.18/0.46  * 
% 0.18/0.46  #<PACKAGE "SNARK-USER">
% 0.18/0.46  * 
% 0.18/0.46  SNARK-TPTP-OPTIONS
% 0.18/0.46  * 
% 0.18/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46   (USE-FACTORING :POS)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46  * 
% 0.18/0.46  "."
% 0.18/0.46  * 
% 0.18/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T06:00:39
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-06-16T06:00:39
% 0.18/0.51  WARNING:
% 0.18/0.51     #:|true| is a proposition that occurs only positively; disabling rows that contain it.
% 21.94/22.13  
% 21.94/22.13  
% 21.94/22.13  #||
% 21.94/22.13  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 21.94/22.13  % SZS output start Refutation
% See solution above
% 21.94/22.13  ||#
% 21.94/22.13  
% 21.94/22.13  ; Summary of computation:
% 21.94/22.13  ;     47220 formulas have been input or derived (from 337 formulas).
% 21.94/22.13  ;     15523 (33%) were retained.  Of these,
% 21.94/22.13  ;         2671 (17%) were simplified or subsumed later,
% 21.94/22.13  ;        12852 (83%) are still being kept.
% 21.94/22.13  ; 
% 21.94/22.13  ; Run time in seconds excluding printing time:
% 21.94/22.13  ;     0.021   0%   Read assertion file          (1 call)
% 21.94/22.13  ;     0.011   0%   Assert                       (85 calls)
% 21.94/22.13  ;     1.371   6%   Process new row              (39,439 calls)
% 21.94/22.13  ;    15.426  71%   Resolution                   (672 calls)
% 21.94/22.13  ;     0.073   0%   Paramodulation               (336 calls)
% 21.94/22.13  ;     0.000   0%   Factoring                    (1 call)
% 21.94/22.13  ;     0.229   1%   Condensing                   (14,095 calls)
% 21.94/22.13  ;     2.334  11%   Forward subsumption          (14,095 calls)
% 21.94/22.13  ;     0.359   2%   Backward subsumption         (7,124 calls)
% 21.94/22.13  ;     0.111   1%   Clause clause subsumption    (15,976 calls)
% 21.94/22.13  ;     0.908   4%   Forward simplification       (39,438 calls)
% 21.94/22.13  ;     0.577   3%   Backward simplification      (15,519 calls)
% 21.94/22.13  ;     0.085   0%   Ordering                     (84,507 calls)
% 21.94/22.13  ;     0.000   0%   Sortal reasoning             (32 calls)
% 21.94/22.13  ;     0.001   0%   Purity testing               (1 call)
% 21.94/22.13  ;     0.156   1%   Other
% 21.94/22.13  ;    21.662        Total
% 21.94/22.13  ;    21.669        Real time
% 21.94/22.13  ; 
% 21.94/22.14  ; Term-hash-array has 20,635 terms in all.
% 21.94/22.14  ; Feature-vector-row-index has 6,510 entries (7,124 at peak, 7,124 added, 614 deleted).
% 21.94/22.14  ; Feature-vector-row-index has 33,593 nodes (34,372 at peak, 34,372 added, 779 deleted).
% 21.94/22.14  ;  Retrieved 20,853 possibly forward subsuming rows in 14,095 calls.
% 21.94/22.14  ;  Retrieved 3,594 possibly backward subsumed rows in 7,124 calls.
% 21.94/22.14  ; Path-index has 15,449 entries (20,640 at peak, 20,650 added, 5,201 deleted).
% 21.94/22.14  ; Path-index has 2,377 nodes (2,584 at peak, 2,601 added, 224 deleted).
% 21.94/22.14  ; Trie-index has 15,449 entries (20,640 at peak, 20,650 added, 5,201 deleted).
% 21.94/22.14  ; Trie-index has 32,440 nodes (46,227 at peak, 46,253 added, 13,813 deleted).
% 21.94/22.14  ; Retrieved 79,916 generalization terms in 138,641 calls.
% 21.94/22.14  ; Retrieved 16,786 instance terms in 8,394 calls.
% 21.94/22.14  ; Retrieved 31,722,243 unifiable terms in 149,930 calls.
% 21.94/22.14  ; 
% 21.94/22.14  ; The agenda of backward simplifiable rows to process has 2541 entries:
% 21.94/22.14  ;  2541 with value 0
% 21.94/22.14  ; The agenda of rows to process has 4293 entries:
% 21.94/22.14  ;    11 with value 6            3564 with value 19              44 with value 29
% 21.94/22.14  ;     4 with value 8               2 with value 21             128 with value 32
% 21.94/22.14  ;     1 with value 9              32 with value 23              32 with value 33
% 21.94/22.14  ;     1 with value 10            200 with value 24             256 with value 79
% 21.94/22.14  ;    18 with value 15
% 21.94/22.14  ; The agenda of input rows to give has 1 entry:
% 21.94/22.14  ;     1 with value 12
% 21.94/22.14  ; The agenda of rows to give has 12520 entries:
% 21.94/22.14  ;    23 with value (4 5)           3 with value (4 14)         281 with value (4 23)
% 21.94/22.14  ;    22 with value (4 6)          79 with value (4 15)        1621 with value (4 24)
% 21.94/22.14  ;    18 with value (4 7)           4 with value (4 17)         700 with value (4 29)
% 21.94/22.14  ;     8 with value (4 8)           2 with value (4 18)           1 with value (4 31)
% 21.94/22.14  ;    23 with value (4 9)        6083 with value (4 19)        1120 with value (4 32)
% 21.94/22.14  ;    13 with value (4 11)          1 with value (4 20)         200 with value (4 33)
% 21.94/22.14  ;    46 with value (4 13)         32 with value (4 21)        2240 with value (4 79)
% 21.94/22.14  Evaluation took:
% 21.94/22.14    21.673 seconds of real time
% 21.94/22.14    21.152632 seconds of user run time
% 21.94/22.14    0.51476 seconds of system run time
% 21.94/22.14    [Run times include 1.073 seconds GC run time.]
% 21.94/22.14    0 calls to %EVAL
% 21.94/22.14    0 page faults and
% 21.94/22.14    1,003,353,864 bytes consed.
% 21.94/22.14  :PROOF-FOUND
% 21.94/22.14  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T06:01:00
% 21.94/22.14  :PROOF-FOUND
% 21.94/22.14  * 
%------------------------------------------------------------------------------