TSTP Solution File: NUM854+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM854+1 : TPTP v8.1.0. Released v4.1.0.
% 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 : Mon Jul 18 14:14:42 EDT 2022

% Result   : Theorem 0.93s 1.10s
% Output   : Refutation 0.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    4 (   3 unt;   0 nHn;   3 RR)
%            Number of literals    :    5 (   0 equ;   2 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :    3 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
    ~ greater(vmul(vd508,vd511),vmul(vd509,vd511)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(315), 514, 0)') ).

cnf(3,axiom,
    greater(vd508,vd509),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(314), 510, 0)') ).

cnf(9,axiom,
    ( ~ greater(X,Y)
    | greater(vmul(X,Z),vmul(Z,Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(299, 0), 2)') ).

cnf(137,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[9,3,1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM854+1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13  % 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 : Thu Jul  7 05:10:44 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.21/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.47  * 
% 0.21/0.47  * 
% 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 2022-07-07T05:10:44
% 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 2022-07-07T05:10:44
% 0.21/0.50  
% 0.21/0.50  ; Recognized associativity assertion (= (|vmul| (|vmul| ?X ?Y) ?Z) (|vmul| ?X (|vmul| ?Y ?Z))).
% 0.21/0.50  ; Recognized commutativity assertion (= (|vmul| ?X ?Y) (|vmul| ?Y ?X)).
% 0.21/0.50  ; Recognized left identity assertion (= (|vmul| |v1| ?X) ?X).
% 0.21/0.50  ; Recognized right identity assertion (= (|vmul| ?X |v1|) ?X).
% 0.21/0.50  ; Recognized commutativity assertion (= (|vplus| ?X ?Y) (|vplus| ?Y ?X)).
% 0.21/0.50  ; Recognized associativity assertion (= (|vplus| (|vplus| ?X ?Y) ?Z) (|vplus| ?X (|vplus| ?Y ?Z))).
% 0.21/0.50  ; Declaring vmul to be commutative.
% 0.21/0.50  ; Declaring vmul to be associative-commutative.
% 0.21/0.50  ; Declaring vplus to be commutative.
% 0.93/1.10  ; Declaring vplus to be associative-commutative.
% 0.93/1.10  
% 0.93/1.10  #||
% 0.93/1.10  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.93/1.10  % SZS output start Refutation
% See solution above
% 0.93/1.10  ||#
% 0.93/1.10  
% 0.93/1.10  ; Summary of computation:
% 0.93/1.10  ;       922 formulas have been input or derived (from 45 formulas).
% 0.93/1.10  ;       137 (15%) were retained.  Of these,
% 0.93/1.10  ;            3 ( 2%) were simplified or subsumed later,
% 0.93/1.10  ;          134 (98%) are still being kept.
% 0.93/1.10  ; 
% 0.93/1.10  ; Run time in seconds excluding printing time:
% 0.93/1.10  ;     0.012   2%   Read assertion file          (1 call)
% 0.93/1.10  ;     0.002   0%   Assert                       (59 calls)
% 0.93/1.10  ;     0.015   2%   Process new row              (872 calls)
% 0.93/1.10  ;     0.491  78%   Resolution                   (88 calls)
% 0.93/1.10  ;     0.006   1%   Paramodulation               (44 calls)
% 0.93/1.10  ;     0.000   0%   Factoring                    (2 calls)
% 0.93/1.10  ;     0.000   0%   Embedding                    (5 calls)
% 0.93/1.10  ;     0.032   5%   Condensing                   (210 calls)
% 0.93/1.10  ;     0.007   1%   Forward subsumption          (210 calls)
% 0.93/1.10  ;     0.000   0%   Backward subsumption         (81 calls)
% 0.93/1.10  ;     0.013   2%   Clause clause subsumption    (168 calls)
% 0.93/1.10  ;     0.023   4%   Forward simplification       (868 calls)
% 0.93/1.10  ;     0.000   0%   Backward simplification      (133 calls)
% 0.93/1.10  ;     0.000   0%   Ordering                     (136 calls)
% 0.93/1.10  ;     0.001   0%   Ordering ac                  (33 calls)
% 0.93/1.10  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.93/1.10  ;     0.000   0%   Purity testing               (1 call)
% 0.93/1.10  ;     0.026   4%   Other
% 0.93/1.10  ;     0.628        Total
% 0.93/1.10  ;     0.630        Real time
% 0.93/1.10  ; 
% 0.93/1.10  ; Term-hash-array has 186 terms in all.
% 0.93/1.10  ; Feature-vector-row-index has 79 entries (79 at peak, 81 added, 2 deleted).
% 0.93/1.10  ; Feature-vector-row-index has 188 nodes (188 at peak, 194 added, 6 deleted).
% 0.93/1.10  ;  Retrieved 333 possibly forward subsuming rows in 210 calls.
% 0.93/1.10  ;  Retrieved 12 possibly backward subsumed rows in 81 calls.
% 0.93/1.10  ; Path-index has 186 entries (186 at peak, 191 added, 5 deleted).
% 0.93/1.10  ; Path-index has 271 nodes (271 at peak, 275 added, 4 deleted).
% 0.93/1.10  ; Trie-index has 186 entries (186 at peak, 191 added, 5 deleted).
% 0.93/1.10  ; Trie-index has 184 nodes (184 at peak, 191 added, 7 deleted).
% 0.93/1.10  ; Retrieved 9,088 generalization terms in 3,774 calls.
% 0.93/1.10  ; Retrieved 129 instance terms in 51 calls.
% 0.93/1.10  ; Retrieved 4,956 unifiable terms in 517 calls.
% 0.93/1.10  ; 
% 0.93/1.10  ; The agenda of rows to process has 6 entries:
% 0.93/1.10  ;     1 with value 5               4 with value 10               1 with value 13
% 0.93/1.10  ; The agenda of input rows to give has 17 entries:
% 0.93/1.10  ;     8 with value 13              2 with value 16               1 with value 24
% 0.93/1.10  ;     3 with value 14              3 with value 17
% 0.93/1.10  ; The agenda of rows to give has 72 entries:
% 0.93/1.10  ;    13 with value (4 5)           6 with value (4 12)           2 with value (4 17)
% 0.93/1.10  ;     6 with value (4 7)           8 with value (4 13)           3 with value (4 18)
% 0.93/1.10  ;     3 with value (4 8)           4 with value (4 14)           2 with value (4 19)
% 0.93/1.10  ;     3 with value (4 9)           1 with value (4 15)           1 with value (4 21)
% 0.93/1.10  ;     6 with value (4 10)          3 with value (4 16)           1 with value (4 23)
% 0.93/1.10  ;    10 with value (4 11)
% 0.93/1.10  Evaluation took:
% 0.93/1.10    0.63 seconds of real time
% 0.93/1.10    0.613948 seconds of user run time
% 0.93/1.10    0.014849 seconds of system run time
% 0.93/1.10    [Run times include 0.013 seconds GC run time.]
% 0.93/1.10    0 calls to %EVAL
% 0.93/1.10    0 page faults and
% 0.93/1.10    52,457,160 bytes consed.
% 0.93/1.10  :PROOF-FOUND
% 0.93/1.10  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T05:10:44
% 0.93/1.10  :PROOF-FOUND
% 0.93/1.10  * 
%------------------------------------------------------------------------------