TSTP Solution File: NUM837+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM837+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n016.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 : Mon Jul 18 14:14:31 EDT 2022

% Result   : Theorem 0.91s 1.07s
% Output   : Refutation 0.91s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    4 (   3 unt;   0 nHn;   4 RR)
%            Number of literals    :    5 (   2 equ;   2 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :    3 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
    vd269 != vplus(vd268,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(171)') ).

cnf(3,axiom,
    less(vd268,vd269),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(170), 270, 0)') ).

cnf(18,axiom,
    ( ~ less(X,Y)
    | Y = vplus(X,'SKOLEMAAAU1'(Y,X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 12), 1)') ).

cnf(92,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[18,3,1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : NUM837+1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n016.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Thu Jul  7 15:33:52 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 0.20/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47   (USE-FACTORING :POS)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47  * 
% 0.20/0.47  "."
% 0.20/0.47  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T15:33:52
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n016.cluster.edu at 2022-07-07T15:33:52
% 0.20/0.49  
% 0.20/0.49  ; Recognized commutativity assertion (= (|vplus| ?X ?Y) (|vplus| ?Y ?X)).
% 0.20/0.49  ; Recognized associativity assertion (= (|vplus| (|vplus| ?X ?Y) ?Z) (|vplus| ?X (|vplus| ?Y ?Z))).
% 0.20/0.49  ; Declaring vplus to be commutative.
% 0.91/1.07  ; Declaring vplus to be associative-commutative.
% 0.91/1.07  
% 0.91/1.07  #||
% 0.91/1.07  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.91/1.07  % SZS output start Refutation
% See solution above
% 0.91/1.07  ||#
% 0.91/1.07  
% 0.91/1.07  ; Summary of computation:
% 0.91/1.07  ;       953 formulas have been input or derived (from 32 formulas).
% 0.91/1.07  ;        92 (10%) were retained.  Of these,
% 0.91/1.07  ;            1 ( 1%) were simplified or subsumed later,
% 0.91/1.07  ;           91 (99%) are still being kept.
% 0.91/1.07  ; 
% 0.91/1.07  ; Run time in seconds:
% 0.91/1.07  ;     0.006   1%   Read assertion file          (1 call)
% 0.91/1.07  ;     0.001   0%   Assert                       (31 calls)
% 0.91/1.07  ;     0.007   1%   Process new row              (921 calls)
% 0.91/1.07  ;     0.463  77%   Resolution                   (62 calls)
% 0.91/1.07  ;     0.007   1%   Paramodulation               (31 calls)
% 0.91/1.07  ;     0.000   0%   Factoring                    (2 calls)
% 0.91/1.07  ;     0.000   0%   Embedding                    (2 calls)
% 0.91/1.07  ;     0.048   8%   Condensing                   (240 calls)
% 0.91/1.07  ;     0.008   1%   Forward subsumption          (240 calls)
% 0.91/1.07  ;     0.000   0%   Backward subsumption         (50 calls)
% 0.91/1.07  ;     0.008   1%   Clause clause subsumption    (212 calls)
% 0.91/1.07  ;     0.023   4%   Forward simplification       (919 calls)
% 0.91/1.07  ;     0.000   0%   Backward simplification      (90 calls)
% 0.91/1.07  ;     0.001   0%   Ordering                     (104 calls)
% 0.91/1.07  ;     0.000   0%   Ordering ac                  (31 calls)
% 0.91/1.07  ;     0.001   0%   Sortal reasoning             (32 calls)
% 0.91/1.07  ;     0.000   0%   Purity testing               (1 call)
% 0.91/1.07  ;     0.028   5%   Other
% 0.91/1.07  ;     0.601        Total
% 0.91/1.07  ;     0.601        Real time
% 0.91/1.07  ; 
% 0.91/1.07  ; Term-hash-array has 120 terms in all.
% 0.91/1.08  ; Feature-vector-row-index has 50 entries (50 at peak, 50 added, 0 deleted).
% 0.91/1.08  ; Feature-vector-row-index has 117 nodes (117 at peak, 117 added, 0 deleted).
% 0.91/1.08  ;  Retrieved 788 possibly forward subsuming rows in 240 calls.
% 0.91/1.08  ;  Retrieved 5 possibly backward subsumed rows in 50 calls.
% 0.91/1.08  ; Path-index has 122 entries (122 at peak, 124 added, 2 deleted).
% 0.91/1.08  ; Path-index has 203 nodes (203 at peak, 205 added, 2 deleted).
% 0.91/1.08  ; Trie-index has 122 entries (122 at peak, 124 added, 2 deleted).
% 0.91/1.08  ; Trie-index has 156 nodes (156 at peak, 161 added, 5 deleted).
% 0.91/1.08  ; Retrieved 7,657 generalization terms in 4,933 calls.
% 0.91/1.08  ; Retrieved 72 instance terms in 39 calls.
% 0.91/1.08  ; Retrieved 2,802 unifiable terms in 429 calls.
% 0.91/1.08  ; 
% 0.91/1.08  ; The agenda of rows to process has 9 entries:
% 0.91/1.08  ;     2 with value 5               4 with value 11               1 with value 19
% 0.91/1.08  ;     2 with value 8
% 0.91/1.08  ; The agenda of input rows to give has 3 entries:
% 0.91/1.08  ;     2 with value 14              1 with value 24
% 0.91/1.08  ; The agenda of rows to give has 56 entries:
% 0.91/1.08  ;    12 with value (4 5)          11 with value (4 11)           3 with value (4 16)
% 0.91/1.08  ;     5 with value (4 7)           1 with value (4 12)           2 with value (4 17)
% 0.91/1.08  ;     2 with value (4 8)           7 with value (4 13)           2 with value (4 18)
% 0.91/1.08  ;     1 with value (4 9)           3 with value (4 14)           2 with value (4 19)
% 0.91/1.08  ;     5 with value (4 10)
% 0.91/1.08  Evaluation took:
% 0.91/1.08    0.601 seconds of real time
% 0.91/1.08    0.582777 seconds of user run time
% 0.91/1.08    0.018927 seconds of system run time
% 0.91/1.08    [Run times include 0.01 seconds GC run time.]
% 0.91/1.08    0 calls to %EVAL
% 0.91/1.08    0 page faults and
% 0.91/1.08    55,627,088 bytes consed.
% 0.91/1.08  :PROOF-FOUND
% 0.91/1.08  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T15:33:52
% 0.91/1.08  :PROOF-FOUND
% 0.91/1.08  * 
%------------------------------------------------------------------------------