TSTP Solution File: SWC020+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC020+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n012.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 : Tue Jul 19 21:56:25 EDT 2022

% Result   : Theorem 0.76s 0.95s
% Output   : Refutation 0.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   19 (   9 unt;   6 nHn;  19 RR)
%            Number of literals    :   33 (  13 equ;  13 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    4 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(81,axiom,
    ( ~ ssList(X)
    | ~ ssList(Y)
    | ~ neq(X,Y)
    | X != Y ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax15) ).

cnf(84,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax17) ).

cnf(118,axiom,
    ( ~ ssList(X)
    | frontsegP(X,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax42) ).

cnf(188,negated_conjecture,
    ssList('SKOLEMAAAV48'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(192,negated_conjecture,
    'SKOLEMAAAV49' = 'SKOLEMAAAV51',
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(193,negated_conjecture,
    'SKOLEMAAAV48' = 'SKOLEMAAAV50',
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(194,negated_conjecture,
    ( ~ ssList(X)
    | ~ neq(X,nil)
    | ~ frontsegP('SKOLEMAAAV49',X)
    | ~ frontsegP('SKOLEMAAAV48',X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(195,negated_conjecture,
    ( nil != 'SKOLEMAAAV49'
    | nil != 'SKOLEMAAAV48' ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(196,negated_conjecture,
    ( nil = 'SKOLEMAAAV51'
    | neq('SKOLEMAAAV50',nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(197,plain,
    ( nil = 'SKOLEMAAAV49'
    | neq('SKOLEMAAAV48',nil) ),
    inference('REWRITE',[status(thm)],[196,193,192,theory(equality)]) ).

cnf(200,negated_conjecture,
    ( nil = 'SKOLEMAAAV50'
    | neq('SKOLEMAAAV50',nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(201,plain,
    ( nil = 'SKOLEMAAAV48'
    | neq('SKOLEMAAAV48',nil) ),
    inference('REWRITE',[status(thm)],[200,193,theory(equality)]) ).

cnf(202,negated_conjecture,
    ( nil = 'SKOLEMAAAV50'
    | frontsegP('SKOLEMAAAV51','SKOLEMAAAV50') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(203,plain,
    ( nil = 'SKOLEMAAAV48'
    | frontsegP('SKOLEMAAAV49','SKOLEMAAAV48') ),
    inference('REWRITE',[status(thm)],[202,192,193,theory(equality)]) ).

cnf(209,plain,
    frontsegP('SKOLEMAAAV48','SKOLEMAAAV48'),
    inference('HYPERRESOLVE',[status(thm)],[118,188]) ).

cnf(358,plain,
    ~ neq(nil,nil),
    inference('UR-RESOLVE',[status(thm)],[81,84,84,theory(equality)]) ).

cnf(607,plain,
    nil = 'SKOLEMAAAV48',
    inference('HYPERRESOLVE',[status(thm)],[194,209,188,201,203]) ).

cnf(610,plain,
    nil != 'SKOLEMAAAV49',
    inference('REWRITE',[status(thm)],[195,607,theory(equality)]) ).

cnf(626,plain,
    $false,
    inference('REWRITE',[status(thm)],[197,358,610,607,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWC020+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n012.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun Jun 12 18:45:56 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45  * 
% 0.18/0.45  * 
% 0.18/0.46  #<PACKAGE "SNARK-USER">
% 0.18/0.46  * 
% 0.18/0.46  SNARK-TPTP-OPTIONS
% 0.18/0.46  * 
% 0.18/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46   (USE-FACTORING :POS)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46  * 
% 0.18/0.46  "."
% 0.18/0.46  * 
% 0.18/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T18:45:56
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n012.cluster.edu at 2022-06-12T18:45:56
% 0.76/0.95  
% 0.76/0.95  
% 0.76/0.95  #||
% 0.76/0.95  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.76/0.95  % SZS output start Refutation
% See solution above
% 0.76/0.95  ||#
% 0.76/0.95  
% 0.76/0.95  ; Summary of computation:
% 0.76/0.95  ;      1334 formulas have been input or derived (from 204 formulas).
% 0.76/0.95  ;       626 (47%) were retained.  Of these,
% 0.76/0.95  ;          248 (40%) were simplified or subsumed later,
% 0.76/0.95  ;          378 (60%) are still being kept.
% 0.76/0.95  ; 
% 0.76/0.95  ; Run time in seconds excluding printing time:
% 0.76/0.95  ;     0.026   5%   Read assertion file          (1 call)
% 0.76/0.95  ;     0.009   2%   Assert                       (96 calls)
% 0.76/0.95  ;     0.036   7%   Process new row              (1,056 calls)
% 0.76/0.95  ;     0.324  66%   Resolution                   (406 calls)
% 0.76/0.95  ;     0.002   0%   Paramodulation               (203 calls)
% 0.76/0.95  ;     0.000   0%   Factoring                    (4 calls)
% 0.76/0.95  ;     0.003   1%   Condensing                   (323 calls)
% 0.76/0.95  ;     0.007   1%   Forward subsumption          (323 calls)
% 0.76/0.95  ;     0.004   1%   Backward subsumption         (317 calls)
% 0.76/0.95  ;     0.001   0%   Clause clause subsumption    (82 calls)
% 0.76/0.95  ;     0.017   3%   Forward simplification       (1,056 calls)
% 0.76/0.95  ;     0.025   5%   Backward simplification      (622 calls)
% 0.76/0.95  ;     0.004   1%   Ordering                     (380 calls)
% 0.76/0.95  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.76/0.95  ;     0.000   0%   Purity testing               (1 call)
% 0.76/0.95  ;     0.031   6%   Other
% 0.76/0.95  ;     0.489        Total
% 0.76/0.95  ;     0.490        Real time
% 0.76/0.95  ; 
% 0.76/0.95  ; Term-hash-array has 1,088 terms in all.
% 0.76/0.95  ; Feature-vector-row-index has 220 entries (316 at peak, 317 added, 97 deleted).
% 0.76/0.95  ; Feature-vector-row-index has 832 nodes (1,279 at peak, 1,283 added, 451 deleted).
% 0.76/0.95  ;  Retrieved 157 possibly forward subsuming rows in 323 calls.
% 0.76/0.95  ;  Retrieved 99 possibly backward subsumed rows in 317 calls.
% 0.76/0.95  ; Path-index has 671 entries (1,064 at peak, 1,125 added, 454 deleted).
% 0.76/0.95  ; Path-index has 1,412 nodes (1,684 at peak, 1,728 added, 316 deleted).
% 0.76/0.95  ; Trie-index has 671 entries (1,064 at peak, 1,125 added, 454 deleted).
% 0.76/0.95  ; Trie-index has 1,990 nodes (3,082 at peak, 3,181 added, 1,191 deleted).
% 0.76/0.95  ; Retrieved 818 generalization terms in 3,480 calls.
% 0.76/0.95  ; Retrieved 307 instance terms in 304 calls.
% 0.76/0.95  ; Retrieved 727,276 unifiable terms in 20,817 calls.
% 0.76/0.95  ; 
% 0.76/0.95  ; The agenda of backward simplifiable rows to process has 194 entries:
% 0.76/0.95  ;   194 with value 0
% 0.76/0.95  ; The agenda of rows to process has 21 entries:
% 0.76/0.95  ;     6 with value 6               6 with value 9                4 with value 11
% 0.76/0.95  ;     1 with value 8               3 with value 10               1 with value 12
% 0.76/0.95  ; The agenda of input rows to give has 3 entries:
% 0.76/0.95  ;     2 with value 4               1 with value 15
% 0.76/0.95  ; The agenda of rows to give has 180 entries:
% 0.76/0.95  ;    22 with value (4 5)          13 with value (4 11)           4 with value (4 17)
% 0.76/0.95  ;     5 with value (4 6)           5 with value (4 12)           8 with value (4 18)
% 0.76/0.95  ;    17 with value (4 7)          17 with value (4 13)           4 with value (4 19)
% 0.76/0.95  ;    10 with value (4 8)           4 with value (4 14)           4 with value (4 21)
% 0.76/0.95  ;    37 with value (4 9)           8 with value (4 15)           1 with value (4 22)
% 0.76/0.95  ;     9 with value (4 10)          6 with value (4 16)           6 with value (4 25)
% 0.76/0.95  Evaluation took:
% 0.76/0.95    0.491 seconds of real time
% 0.76/0.95    0.474508 seconds of user run time
% 0.76/0.95    0.01675 seconds of system run time
% 0.76/0.95    [Run times include 0.029 seconds GC run time.]
% 0.76/0.95    0 calls to %EVAL
% 0.76/0.95    0 page faults and
% 0.76/0.95    39,893,072 bytes consed.
% 0.76/0.95  :PROOF-FOUND
% 0.76/0.95  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T18:45:56
% 0.76/0.95  :PROOF-FOUND
% 0.76/0.95  * 
%------------------------------------------------------------------------------