TSTP Solution File: NUM850+2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM850+2 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n011.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 14:14:40 EDT 2022

% Result   : Theorem 1.19s 1.38s
% Output   : Refutation 1.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    6 (   4 unt;   0 nHn;   6 RR)
%            Number of literals    :    8 (   2 equ;   3 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :    5 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
    vd470 != vplus(vd471,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(conseq_conjunct1(conseq(302)))') ).

cnf(2,axiom,
    greater(vd470,vd471),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(antec(302), 472, 0)') ).

cnf(33,axiom,
    ( ~ greater(X,Y)
    | less(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(140, 0), 0)') ).

cnf(38,axiom,
    ( ~ less(X,Y)
    | Y = vplus(X,'SKOLEMAAAV1'(Y,X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 12), 1)') ).

cnf(60,plain,
    less(vd471,vd470),
    inference('HYPERRESOLVE',[status(thm)],[33,2]) ).

cnf(339,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[38,1]),60]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : NUM850+2 : TPTP v8.1.0. Released v4.1.0.
% 0.08/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n011.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
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Tue Jul  5 23:50:07 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.19/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47  * 
% 0.19/0.47  * 
% 0.19/0.48  #<PACKAGE "SNARK-USER">
% 0.19/0.48  * 
% 0.19/0.48  SNARK-TPTP-OPTIONS
% 0.19/0.48  * 
% 0.19/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48   (USE-FACTORING :POS)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48  * 
% 0.19/0.48  "."
% 0.19/0.48  * 
% 0.19/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-05T23:50:08
% 0.19/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-07-05T23:50:08
% 0.19/0.50  
% 0.19/0.50  ; Recognized associativity assertion (= (|vmul| (|vmul| ?X ?Y) ?Z) (|vmul| ?X (|vmul| ?Y ?Z))).
% 0.19/0.50  ; Recognized commutativity assertion (= (|vmul| ?X ?Y) (|vmul| ?Y ?X)).
% 0.19/0.50  ; Recognized left identity assertion (= (|vmul| |v1| ?X) ?X).
% 0.19/0.50  ; Recognized right identity assertion (= (|vmul| ?X |v1|) ?X).
% 0.19/0.50  ; Recognized commutativity assertion (= (|vplus| ?X ?Y) (|vplus| ?Y ?X)).
% 0.19/0.51  ; Recognized associativity assertion (= (|vplus| (|vplus| ?X ?Y) ?Z) (|vplus| ?X (|vplus| ?Y ?Z))).
% 0.19/0.51  ; Declaring vplus to be commutative.
% 0.19/0.51  ; Declaring vplus to be associative-commutative.
% 0.19/0.51  ; Declaring vmul to be commutative.
% 1.19/1.38  ; Declaring vmul to be associative-commutative.
% 1.19/1.38  
% 1.19/1.38  #||
% 1.19/1.38  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.19/1.38  % SZS output start Refutation
% See solution above
% 1.19/1.38  ||#
% 1.19/1.38  
% 1.19/1.38  ; Summary of computation:
% 1.19/1.38  ;      2053 formulas have been input or derived (from 46 formulas).
% 1.19/1.38  ;       339 (17%) were retained.  Of these,
% 1.19/1.38  ;            3 ( 1%) were simplified or subsumed later,
% 1.19/1.38  ;          336 (99%) are still being kept.
% 1.19/1.38  ; 
% 1.19/1.38  ; Run time in seconds excluding printing time:
% 1.19/1.38  ;     0.010   1%   Read assertion file          (1 call)
% 1.19/1.38  ;     0.002   0%   Assert                       (51 calls)
% 1.19/1.38  ;     0.036   4%   Process new row              (1,961 calls)
% 1.19/1.38  ;     0.572  64%   Resolution                   (90 calls)
% 1.19/1.38  ;     0.013   1%   Paramodulation               (45 calls)
% 1.19/1.38  ;     0.000   0%   Factoring                    (2 calls)
% 1.19/1.38  ;     0.000   0%   Embedding                    (21 calls)
% 1.19/1.38  ;     0.071   8%   Condensing                   (605 calls)
% 1.19/1.38  ;     0.018   2%   Forward subsumption          (605 calls)
% 1.19/1.38  ;     0.003   0%   Backward subsumption         (211 calls)
% 1.19/1.38  ;     0.036   4%   Clause clause subsumption    (1,063 calls)
% 1.19/1.38  ;     0.102  11%   Forward simplification       (1,945 calls)
% 1.19/1.38  ;     0.002   0%   Backward simplification      (323 calls)
% 1.19/1.38  ;     0.002   0%   Ordering                     (264 calls)
% 1.19/1.38  ;     0.007   1%   Ordering ac                  (113 calls)
% 1.19/1.38  ;     0.001   0%   Sortal reasoning             (32 calls)
% 1.19/1.38  ;     0.000   0%   Purity testing               (1 call)
% 1.19/1.38  ;     0.025   3%   Other
% 1.19/1.38  ;     0.900        Total
% 1.19/1.38  ;     0.902        Real time
% 1.19/1.38  ; 
% 1.19/1.38  ; Term-hash-array has 639 terms in all.
% 1.19/1.38  ; Feature-vector-row-index has 209 entries (209 at peak, 211 added, 2 deleted).
% 1.19/1.38  ; Feature-vector-row-index has 570 nodes (570 at peak, 576 added, 6 deleted).
% 1.19/1.38  ;  Retrieved 2,891 possibly forward subsuming rows in 605 calls.
% 1.19/1.38  ;  Retrieved 157 possibly backward subsumed rows in 211 calls.
% 1.19/1.38  ; Path-index has 637 entries (637 at peak, 642 added, 5 deleted).
% 1.19/1.38  ; Path-index has 356 nodes (356 at peak, 360 added, 4 deleted).
% 1.19/1.38  ; Trie-index has 637 entries (637 at peak, 642 added, 5 deleted).
% 1.19/1.38  ; Trie-index has 208 nodes (208 at peak, 215 added, 7 deleted).
% 1.19/1.38  ; Retrieved 67,705 generalization terms in 12,352 calls.
% 1.19/1.38  ; Retrieved 421 instance terms in 118 calls.
% 1.19/1.38  ; Retrieved 25,094 unifiable terms in 980 calls.
% 1.19/1.38  ; 
% 1.19/1.38  ; The agenda of rows to process has 4 entries:
% 1.19/1.38  ;     1 with value 5               2 with value 8                1 with value 19
% 1.19/1.38  ; The agenda of input rows to give has 8 entries:
% 1.19/1.38  ;     2 with value 14              3 with value 17               1 with value 24
% 1.19/1.38  ;     2 with value 16
% 1.19/1.38  ; The agenda of rows to give has 282 entries:
% 1.19/1.38  ;     8 with value (4 5)           6 with value (4 16)           2 with value (4 26)
% 1.19/1.38  ;     6 with value (4 7)          20 with value (4 17)           7 with value (4 27)
% 1.19/1.38  ;     3 with value (4 8)          14 with value (4 18)          11 with value (4 28)
% 1.19/1.38  ;     3 with value (4 9)          20 with value (4 19)          10 with value (4 29)
% 1.19/1.38  ;    10 with value (4 10)          6 with value (4 20)           8 with value (4 30)
% 1.19/1.38  ;    11 with value (4 11)          6 with value (4 21)           2 with value (4 31)
% 1.19/1.38  ;    12 with value (4 12)          6 with value (4 22)          15 with value (4 32)
% 1.19/1.38  ;    15 with value (4 13)         16 with value (4 23)           7 with value (4 34)
% 1.19/1.38  ;     6 with value (4 14)         13 with value (4 24)           7 with value (4 36)
% 1.19/1.38  ;    11 with value (4 15)         19 with value (4 25)           2 with value (4 42)
% 1.19/1.38  Evaluation took:
% 1.19/1.38    0.902 seconds of real time
% 1.19/1.38    0.883749 seconds of user run time
% 1.19/1.38    0.018065 seconds of system run time
% 1.19/1.38    [Run times include 0.025 seconds GC run time.]
% 1.19/1.38    0 calls to %EVAL
% 1.19/1.38    0 page faults and
% 1.19/1.38    91,190,768 bytes consed.
% 1.19/1.38  :PROOF-FOUND
% 1.19/1.38  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-05T23:50:08
% 1.19/1.38  :PROOF-FOUND
% 1.19/1.38  * 
%------------------------------------------------------------------------------