TSTP Solution File: NUM838+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM838+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n010.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 14:14:32 EDT 2022

% Result   : Theorem 0.86s 1.02s
% Output   : Refutation 0.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    6 (   4 unt;   0 nHn;   5 RR)
%            Number of literals    :    8 (   0 equ;   3 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :    5 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
    ~ greater(vplus(vd301,vd303),vplus(vd302,vd303)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conseq(195), 305, 0)') ).

cnf(2,axiom,
    greater(vd301,vd302),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(antec(195), 304, 0)') ).

cnf(4,axiom,
    ( ~ less(X,Y)
    | greater(vplus(Y,Z),vplus(X,Z)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(proof(196), 0), 1)') ).

cnf(23,axiom,
    ( ~ greater(X,Y)
    | less(Y,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(140, 0), 0)') ).

cnf(49,plain,
    less(vd302,vd301),
    inference('HYPERRESOLVE',[status(thm)],[23,2]) ).

cnf(96,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[4,1]),49]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : NUM838+1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.11  % Command  : run-snark %s %d
% 0.12/0.32  % Computer : n010.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 600
% 0.12/0.32  % DateTime : Thu Jul  7 08:32:01 EDT 2022
% 0.12/0.32  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45  * 
% 0.18/0.45  * 
% 0.18/0.45  #<PACKAGE "SNARK-USER">
% 0.18/0.45  * 
% 0.18/0.45  SNARK-TPTP-OPTIONS
% 0.18/0.45  * 
% 0.18/0.45  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.45   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.45   (USE-FACTORING :POS)
% 0.18/0.45   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.45   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.45   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.45   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.45   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.45   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.45   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.45   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.45   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.45   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.45  * 
% 0.18/0.45  "."
% 0.18/0.45  * 
% 0.18/0.45  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T08:32:01
% 0.18/0.45  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2022-07-07T08:32:01
% 0.18/0.47  
% 0.18/0.47  ; Recognized commutativity assertion (= (|vplus| ?X ?Y) (|vplus| ?Y ?X)).
% 0.18/0.47  ; Recognized associativity assertion (= (|vplus| (|vplus| ?X ?Y) ?Z) (|vplus| ?X (|vplus| ?Y ?Z))).
% 0.18/0.47  ; Declaring vplus to be commutative.
% 0.86/1.02  ; Declaring vplus to be associative-commutative.
% 0.86/1.02  
% 0.86/1.02  #||
% 0.86/1.02  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.86/1.02  % SZS output start Refutation
% See solution above
% 0.86/1.02  ||#
% 0.86/1.02  
% 0.86/1.02  ; Summary of computation:
% 0.86/1.02  ;       786 formulas have been input or derived (from 36 formulas).
% 0.86/1.02  ;        96 (12%) were retained.  Of these,
% 0.86/1.02  ;            1 ( 1%) were simplified or subsumed later,
% 0.86/1.02  ;           95 (99%) are still being kept.
% 0.86/1.02  ; 
% 0.86/1.02  ; Run time in seconds excluding printing time:
% 0.86/1.02  ;     0.009   2%   Read assertion file          (1 call)
% 0.86/1.02  ;     0.002   0%   Assert                       (44 calls)
% 0.86/1.02  ;     0.005   1%   Process new row              (766 calls)
% 0.86/1.02  ;     0.448  79%   Resolution                   (70 calls)
% 0.86/1.02  ;     0.004   1%   Paramodulation               (35 calls)
% 0.86/1.02  ;     0.001   0%   Factoring                    (2 calls)
% 0.86/1.02  ;     0.000   0%   Embedding                    (2 calls)
% 0.86/1.02  ;     0.040   7%   Condensing                   (174 calls)
% 0.86/1.02  ;     0.002   0%   Forward subsumption          (174 calls)
% 0.86/1.02  ;     0.001   0%   Backward subsumption         (59 calls)
% 0.86/1.02  ;     0.009   2%   Clause clause subsumption    (142 calls)
% 0.86/1.02  ;     0.019   3%   Forward simplification       (764 calls)
% 0.86/1.02  ;     0.000   0%   Backward simplification      (94 calls)
% 0.86/1.02  ;     0.000   0%   Ordering                     (97 calls)
% 0.86/1.02  ;     0.001   0%   Ordering ac                  (31 calls)
% 0.86/1.02  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.86/1.02  ;     0.000   0%   Purity testing               (1 call)
% 0.86/1.02  ;     0.025   4%   Other
% 0.86/1.02  ;     0.566        Total
% 0.86/1.02  ;     0.568        Real time
% 0.86/1.02  ; 
% 0.86/1.02  ; Term-hash-array has 123 terms in all.
% 0.86/1.02  ; Feature-vector-row-index has 59 entries (59 at peak, 59 added, 0 deleted).
% 0.86/1.02  ; Feature-vector-row-index has 150 nodes (150 at peak, 150 added, 0 deleted).
% 0.86/1.02  ;  Retrieved 314 possibly forward subsuming rows in 174 calls.
% 0.86/1.02  ;  Retrieved 5 possibly backward subsumed rows in 59 calls.
% 0.86/1.02  ; Path-index has 125 entries (125 at peak, 127 added, 2 deleted).
% 0.86/1.02  ; Path-index has 221 nodes (221 at peak, 223 added, 2 deleted).
% 0.86/1.02  ; Trie-index has 125 entries (125 at peak, 127 added, 2 deleted).
% 0.86/1.02  ; Trie-index has 142 nodes (142 at peak, 147 added, 5 deleted).
% 0.86/1.02  ; Retrieved 6,251 generalization terms in 3,443 calls.
% 0.86/1.02  ; Retrieved 77 instance terms in 34 calls.
% 0.86/1.02  ; Retrieved 3,416 unifiable terms in 434 calls.
% 0.86/1.02  ; 
% 0.86/1.02  ; The agenda of rows to process has 1 entry:
% 0.86/1.02  ;     1 with value 18
% 0.86/1.02  ; The agenda of input rows to give has 9 entries:
% 0.86/1.02  ;     3 with value 13              1 with value 18               1 with value 24
% 0.86/1.02  ;     4 with value 14
% 0.86/1.02  ; The agenda of rows to give has 50 entries:
% 0.86/1.02  ;     8 with value (4 5)          10 with value (4 11)           1 with value (4 17)
% 0.86/1.02  ;     4 with value (4 7)           1 with value (4 12)           2 with value (4 18)
% 0.86/1.02  ;     3 with value (4 8)           6 with value (4 13)           2 with value (4 19)
% 0.86/1.02  ;     1 with value (4 9)           3 with value (4 14)           1 with value (4 21)
% 0.86/1.02  ;     5 with value (4 10)          3 with value (4 16)
% 0.86/1.02  Evaluation took:
% 0.86/1.02    0.568 seconds of real time
% 0.86/1.02    0.55001 seconds of user run time
% 0.86/1.02    0.017933 seconds of system run time
% 0.86/1.02    [Run times include 0.011 seconds GC run time.]
% 0.86/1.02    0 calls to %EVAL
% 0.86/1.02    0 page faults and
% 0.86/1.02    52,037,904 bytes consed.
% 0.86/1.02  :PROOF-FOUND
% 0.86/1.02  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T08:32:02
% 0.86/1.02  :PROOF-FOUND
% 0.86/1.02  * 
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