TSTP Solution File: GEO579+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO579+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n032.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 : Sat Jul 16 06:16:48 EDT 2022

% Result   : Theorem 0.68s 0.88s
% Output   : Refutation 0.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   22 (  20 unt;   0 nHn;  22 RR)
%            Number of literals    :   25 (   0 equ;   5 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   7 con; 0-0 aty)
%            Number of variables   :    7 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ coll(X,Y,Z)
    | coll(X,Z,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).

cnf(2,axiom,
    ( ~ coll(X,Y,Z)
    | ~ coll(X,Y,U)
    | coll(Z,U,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).

cnf(116,negated_conjecture,
    coll('SKOLEMAAAO25','SKOLEMAAAO21','SKOLEMAAAO23'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416041) ).

cnf(118,negated_conjecture,
    coll('SKOLEMAAAO26','SKOLEMAAAO22','SKOLEMAAAO23'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416041) ).

cnf(120,negated_conjecture,
    coll('SKOLEMAAAO27','SKOLEMAAAO21','SKOLEMAAAO24'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416041) ).

cnf(121,negated_conjecture,
    ~ coll('SKOLEMAAAO27','SKOLEMAAAO25','SKOLEMAAAO26'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416041) ).

cnf(122,plain,
    coll('SKOLEMAAAO27','SKOLEMAAAO24','SKOLEMAAAO21'),
    inference('HYPERRESOLVE',[status(thm)],[1,120]) ).

cnf(124,plain,
    coll('SKOLEMAAAO25','SKOLEMAAAO23','SKOLEMAAAO21'),
    inference('HYPERRESOLVE',[status(thm)],[1,116]) ).

cnf(128,plain,
    ~ coll('SKOLEMAAAO27','SKOLEMAAAO26','SKOLEMAAAO25'),
    inference('UR-RESOLVE',[status(thm)],[1,121]) ).

cnf(142,plain,
    coll('SKOLEMAAAO23','SKOLEMAAAO23','SKOLEMAAAO25'),
    inference('HYPERRESOLVE',[status(thm)],[2,116,116]) ).

cnf(143,plain,
    coll('SKOLEMAAAO23','SKOLEMAAAO23','SKOLEMAAAO21'),
    inference('HYPERRESOLVE',[status(thm)],[2,116,116]) ).

cnf(144,plain,
    coll('SKOLEMAAAO23','SKOLEMAAAO23','SKOLEMAAAO26'),
    inference('HYPERRESOLVE',[status(thm)],[2,118,118]) ).

cnf(158,plain,
    coll('SKOLEMAAAO21','SKOLEMAAAO21','SKOLEMAAAO27'),
    inference('HYPERRESOLVE',[status(thm)],[2,122,122]) ).

cnf(162,plain,
    coll('SKOLEMAAAO21','SKOLEMAAAO21','SKOLEMAAAO25'),
    inference('HYPERRESOLVE',[status(thm)],[2,124,124]) ).

cnf(182,plain,
    coll('SKOLEMAAAO26','SKOLEMAAAO25','SKOLEMAAAO23'),
    inference('HYPERRESOLVE',[status(thm)],[2,144,142]) ).

cnf(183,plain,
    coll('SKOLEMAAAO26','SKOLEMAAAO21','SKOLEMAAAO23'),
    inference('HYPERRESOLVE',[status(thm)],[2,144,143]) ).

cnf(211,plain,
    coll('SKOLEMAAAO25','SKOLEMAAAO27','SKOLEMAAAO21'),
    inference('HYPERRESOLVE',[status(thm)],[2,162,158]) ).

cnf(225,plain,
    coll('SKOLEMAAAO26','SKOLEMAAAO23','SKOLEMAAAO25'),
    inference('HYPERRESOLVE',[status(thm)],[1,182]) ).

cnf(227,plain,
    coll('SKOLEMAAAO26','SKOLEMAAAO23','SKOLEMAAAO21'),
    inference('HYPERRESOLVE',[status(thm)],[1,183]) ).

cnf(418,plain,
    coll('SKOLEMAAAO25','SKOLEMAAAO21','SKOLEMAAAO27'),
    inference('HYPERRESOLVE',[status(thm)],[1,211]) ).

cnf(513,plain,
    coll('SKOLEMAAAO21','SKOLEMAAAO25','SKOLEMAAAO26'),
    inference('HYPERRESOLVE',[status(thm)],[2,227,225]) ).

cnf(1097,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[2,418,128]),513]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : GEO579+1 : TPTP v8.1.0. Released v7.5.0.
% 0.06/0.11  % Command  : run-snark %s %d
% 0.11/0.31  % Computer : n032.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit : 300
% 0.11/0.31  % WCLimit  : 600
% 0.11/0.31  % DateTime : Sat Jun 18 05:50:01 EDT 2022
% 0.11/0.31  % CPUTime  : 
% 0.16/0.39  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.40  * 
% 0.16/0.40  * 
% 0.16/0.40  #<PACKAGE "SNARK-USER">
% 0.16/0.40  * 
% 0.16/0.40  SNARK-TPTP-OPTIONS
% 0.16/0.40  * 
% 0.16/0.40  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.16/0.40   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.16/0.40   (USE-FACTORING :POS)
% 0.16/0.40   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.16/0.40   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.16/0.40   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.16/0.40   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.16/0.40   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.16/0.40   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.16/0.40   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.16/0.40   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.16/0.40   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.16/0.40   (DECLARE-TPTP-SYMBOLS2))
% 0.16/0.40  * 
% 0.16/0.41  "."
% 0.16/0.41  * 
% 0.16/0.41  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T05:50:01
% 0.16/0.41  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-06-18T05:50:01
% 0.16/0.43  
% 0.16/0.43  WARNING: In quantification, variable ?M is being rebound.
% 0.16/0.43  ; Recognized commutativity assertion (OR (NOT (|coll| ?X ?Y ?Z)) (|coll| ?Y ?X ?Z)).
% 0.68/0.88  ; Declaring coll to be commutative.
% 0.68/0.88  
% 0.68/0.88  #||
% 0.68/0.88  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.68/0.88  % SZS output start Refutation
% See solution above
% 0.68/0.88  ||#
% 0.68/0.88  
% 0.68/0.88  ; Summary of computation:
% 0.68/0.88  ;      3157 formulas have been input or derived (from 246 formulas).
% 0.68/0.88  ;      1097 (35%) were retained.  Of these,
% 0.68/0.88  ;         1097 (100%) are still being kept.
% 0.68/0.88  ; 
% 0.68/0.88  ; Run time in seconds excluding printing time:
% 0.68/0.88  ;     0.018   4%   Read assertion file          (1 call)
% 0.68/0.88  ;     0.003   1%   Assert                       (95 calls)
% 0.68/0.88  ;     0.043   9%   Process new row              (3,033 calls)
% 0.68/0.88  ;     0.357  75%   Resolution                   (490 calls)
% 0.68/0.88  ;     0.001   0%   Paramodulation               (245 calls)
% 0.68/0.88  ;     0.001   0%   Condensing                   (112 calls)
% 0.68/0.88  ;     0.001   0%   Forward subsumption          (112 calls)
% 0.68/0.88  ;     0.002   0%   Backward subsumption         (111 calls)
% 0.68/0.88  ;     0.002   0%   Clause clause subsumption    (151 calls)
% 0.68/0.88  ;     0.009   2%   Forward simplification       (3,033 calls)
% 0.68/0.88  ;     0.008   2%   Backward simplification      (1,097 calls)
% 0.68/0.88  ;     0.000   0%   Ordering                     (4 calls)
% 0.68/0.88  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.68/0.88  ;     0.001   0%   Purity testing               (1 call)
% 0.68/0.88  ;     0.030   6%   Other
% 0.68/0.88  ;     0.476        Total
% 0.68/0.88  ;     0.478        Real time
% 0.68/0.88  ; 
% 0.68/0.88  ; Term-hash-array has 1,390 terms in all.
% 0.68/0.88  ; Feature-vector-row-index has 111 entries (111 at peak, 111 added, 0 deleted).
% 0.68/0.88  ; Feature-vector-row-index has 162 nodes (162 at peak, 162 added, 0 deleted).
% 0.68/0.88  ;  Retrieved 140 possibly forward subsuming rows in 112 calls.
% 0.68/0.88  ;  Retrieved 45 possibly backward subsumed rows in 111 calls.
% 0.68/0.88  ; Path-index has 1,397 entries (1,397 at peak, 1,397 added, 0 deleted).
% 0.68/0.88  ; Path-index has 983 nodes (983 at peak, 983 added, 0 deleted).
% 0.68/0.88  ; Trie-index has 1,397 entries (1,397 at peak, 1,397 added, 0 deleted).
% 0.68/0.88  ; Trie-index has 3,741 nodes (3,741 at peak, 3,741 added, 0 deleted).
% 0.68/0.88  ; Retrieved 1,935 generalization terms in 2,914 calls.
% 0.68/0.88  ; Retrieved 1,060 instance terms in 985 calls.
% 0.68/0.88  ; Retrieved 558,080 unifiable terms in 37,977 calls.
% 0.68/0.88  ; 
% 0.68/0.88  ; The agenda of rows to process has 19 entries:
% 0.68/0.88  ;    19 with value 10
% 0.68/0.88  ; The agenda of rows to give has 851 entries:
% 0.68/0.88  ;    43 with value (4 9)           2 with value (4 12)          57 with value (4 15)
% 0.68/0.88  ;    18 with value (4 10)         93 with value (4 13)         354 with value (4 16)
% 0.68/0.88  ;    12 with value (4 11)        230 with value (4 14)          42 with value (4 17)
% 0.68/0.88  Evaluation took:
% 0.68/0.88    0.478 seconds of real time
% 0.68/0.88    0.457454 seconds of user run time
% 0.68/0.88    0.021296 seconds of system run time
% 0.68/0.88    [Run times include 0.01 seconds GC run time.]
% 0.68/0.88    0 calls to %EVAL
% 0.68/0.88    0 page faults and
% 0.68/0.88    35,463,328 bytes consed.
% 0.68/0.88  :PROOF-FOUND
% 0.68/0.88  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T05:50:02
% 0.68/0.88  :PROOF-FOUND
% 0.68/0.88  * 
%------------------------------------------------------------------------------