TSTP Solution File: LCL672+1.001 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL672+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n020.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 : Sun Jul 17 14:24:57 EDT 2022

% Result   : Theorem 0.78s 0.98s
% Output   : Refutation 0.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   15 (  12 unt;   2 nHn;  14 RR)
%            Number of literals    :   34 (   0 equ;  18 neg)
%            Maximal clause size   :   10 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-1 aty)
%            Number of variables   :   14 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    r1(X,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).

cnf(5,negated_conjecture,
    ( ~ r1('SKOLEMAAAV1',X)
    | p2(X)
    | ~ r1('SKOLEMAAAV1',Y)
    | ~ r1(Y,Z)
    | ~ r1(Z,U)
    | r1(U,'SKOLEMAAAV3'(U))
    | ~ r1(Z,V)
    | p1(V)
    | ~ r1('SKOLEMAAAV1',W)
    | p1(W) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).

cnf(6,negated_conjecture,
    ( ~ r1('SKOLEMAAAV1',X)
    | p2(X)
    | ~ r1('SKOLEMAAAV1',Y)
    | ~ r1(Y,Z)
    | ~ r1(Z,U)
    | ~ p1('SKOLEMAAAV3'(U))
    | ~ r1(Z,V)
    | p1(V)
    | ~ r1('SKOLEMAAAV1',W)
    | p1(W) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).

cnf(12,negated_conjecture,
    r1('SKOLEMAAAV1','SKOLEMAAAV7'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).

cnf(13,negated_conjecture,
    ~ p2('SKOLEMAAAV7'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).

cnf(14,negated_conjecture,
    r1('SKOLEMAAAV1','SKOLEMAAAV8'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).

cnf(15,negated_conjecture,
    r1('SKOLEMAAAV8','SKOLEMAAAV9'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).

cnf(16,negated_conjecture,
    ( ~ r1('SKOLEMAAAV9',X)
    | p1(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).

cnf(17,negated_conjecture,
    r1('SKOLEMAAAV8','SKOLEMAAAV10'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).

cnf(18,negated_conjecture,
    ~ p1('SKOLEMAAAV10'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).

cnf(19,negated_conjecture,
    r1('SKOLEMAAAV1','SKOLEMAAAV11'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).

cnf(20,negated_conjecture,
    ~ p1('SKOLEMAAAV11'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).

cnf(31,plain,
    ~ p1('SKOLEMAAAV3'('SKOLEMAAAV9')),
    inference('UR-RESOLVE',[status(thm)],[6,12,13,14,1,15,17,18,19,20]) ).

cnf(109,plain,
    r1('SKOLEMAAAV9','SKOLEMAAAV3'('SKOLEMAAAV9')),
    inference('UR-RESOLVE',[status(thm)],[5,12,13,14,1,15,17,18,19,20]) ).

cnf(295,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[16,31]),109]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL672+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n020.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 : Tue Jul  5 01:15:29 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.48  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 0.20/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48   (USE-FACTORING :POS)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48  * 
% 0.20/0.48  "."
% 0.20/0.48  * 
% 0.20/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-05T01:15:29
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-07-05T01:15:29
% 0.20/0.49  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.49  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.49  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.49  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.49  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.49  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.49  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.49  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.49  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.49  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.49  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.49  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.49  WARNING: In quantification, variable ?X is being rebound.
% 0.20/0.49  WARNING: In quantification, variable ?Y is being rebound.
% 0.20/0.49  WARNING: In quantification, variable ?X is being rebound.
% 0.78/0.98  
% 0.78/0.98  
% 0.78/0.98  #||
% 0.78/0.98  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.78/0.98  % SZS output start Refutation
% See solution above
% 0.78/0.98  ||#
% 0.78/0.98  
% 0.78/0.98  ; Summary of computation:
% 0.78/0.98  ;      7527 formulas have been input or derived (from 28 formulas).
% 0.78/0.98  ;       295 ( 4%) were retained.  Of these,
% 0.78/0.98  ;          174 (59%) were simplified or subsumed later,
% 0.78/0.98  ;          121 (41%) are still being kept.
% 0.78/0.98  ; 
% 0.78/0.98  ; Run time in seconds excluding printing time:
% 0.78/0.98  ;     0.004   1%   Read assertion file          (1 call)
% 0.78/0.98  ;     0.003   1%   Assert                       (3 calls)
% 0.78/0.98  ;     0.044   9%   Process new row              (7,466 calls)
% 0.78/0.98  ;     0.179  35%   Resolution                   (54 calls)
% 0.78/0.98  ;     0.000   0%   Paramodulation               (27 calls)
% 0.78/0.98  ;     0.006   1%   Condensing                   (3,469 calls)
% 0.78/0.98  ;     0.099  20%   Forward subsumption          (3,469 calls)
% 0.78/0.98  ;     0.008   2%   Backward subsumption         (257 calls)
% 0.78/0.98  ;     0.007   1%   Clause clause subsumption    (6,018 calls)
% 0.78/0.98  ;     0.096  19%   Forward simplification       (7,466 calls)
% 0.78/0.98  ;     0.001   0%   Backward simplification      (295 calls)
% 0.78/0.98  ;     0.000   0%   Ordering                     (120 calls)
% 0.78/0.98  ;     0.001   0%   Sortal reasoning             (32 calls)
% 0.78/0.98  ;     0.000   0%   Purity testing               (1 call)
% 0.78/0.98  ;     0.057  11%   Other
% 0.78/0.98  ;     0.505        Total
% 0.78/0.98  ;     0.506        Real time
% 0.78/0.98  ; 
% 0.78/0.98  ; Term-hash-array has 122 terms in all.
% 0.78/0.98  ; Feature-vector-row-index has 83 entries (85 at peak, 257 added, 174 deleted).
% 0.78/0.98  ; Feature-vector-row-index has 275 nodes (321 at peak, 1,874 added, 1,599 deleted).
% 0.78/0.98  ;  Retrieved 11,126 possibly forward subsuming rows in 3,469 calls.
% 0.78/0.98  ;  Retrieved 233 possibly backward subsumed rows in 257 calls.
% 0.78/0.98  ; Path-index has 124 entries (126 at peak, 324 added, 200 deleted).
% 0.78/0.98  ; Path-index has 124 nodes (127 at peak, 325 added, 201 deleted).
% 0.78/0.98  ; Trie-index has 124 entries (126 at peak, 324 added, 200 deleted).
% 0.78/0.98  ; Trie-index has 156 nodes (158 at peak, 370 added, 214 deleted).
% 0.78/0.98  ; Retrieved 16,008 generalization terms in 28,598 calls.
% 0.78/0.98  ; Retrieved 37 instance terms in 37 calls.
% 0.78/0.98  ; Retrieved 229,150 unifiable terms in 28,104 calls.
% 0.78/0.98  ; 
% 0.78/0.98  ; The agenda of rows to give has 93 entries:
% 0.78/0.98  ;     6 with value (4 6)           4 with value (4 8)           36 with value (4 13)
% 0.78/0.98  ;    11 with value (4 7)          24 with value (4 12)          12 with value (4 14)
% 0.78/0.98  Evaluation took:
% 0.78/0.98    0.506 seconds of real time
% 0.78/0.98    0.463221 seconds of user run time
% 0.78/0.98    0.043062 seconds of system run time
% 0.78/0.98    [Run times include 0.014 seconds GC run time.]
% 0.78/0.99    0 calls to %EVAL
% 0.78/0.99    0 page faults and
% 0.78/0.99    40,598,624 bytes consed.
% 0.78/0.99  :PROOF-FOUND
% 0.78/0.99  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-05T01:15:30
% 0.78/0.99  :PROOF-FOUND
% 0.78/0.99  * 
%------------------------------------------------------------------------------