TSTP Solution File: SWC384+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC384+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n028.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 21:58:34 EDT 2022

% Result   : Theorem 0.75s 0.97s
% Output   : Refutation 0.75s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   29 (  15 unt;  10 nHn;  29 RR)
%            Number of literals    :   51 (  22 equ;  16 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :    8 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(12,axiom,
    ( ~ ssList(X)
    | singletonP(X)
    | ~ ssItem(Y)
    | cons(Y,nil) != X ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax4) ).

cnf(22,axiom,
    ( ~ ssList(X)
    | ~ ssList(Y)
    | segmentP(X,Y)
    | ~ ssList(Z)
    | ~ ssList(U)
    | app(app(Z,Y),U) != X ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax7) ).

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

cnf(189,negated_conjecture,
    ssList('SKOLEMAAAV49'),
    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,
    neq('SKOLEMAAAV49',nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(195,negated_conjecture,
    ( ssItem('SKOLEMAAAV52')
    | nil = 'SKOLEMAAAV51' ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(196,plain,
    ( ssItem('SKOLEMAAAV52')
    | nil = 'SKOLEMAAAV49' ),
    inference('REWRITE',[status(thm)],[195,192,theory(equality)]) ).

cnf(199,negated_conjecture,
    ( ssList('SKOLEMAAAV53')
    | nil = 'SKOLEMAAAV51' ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(200,plain,
    ( ssList('SKOLEMAAAV53')
    | nil = 'SKOLEMAAAV49' ),
    inference('REWRITE',[status(thm)],[199,192,theory(equality)]) ).

cnf(203,negated_conjecture,
    ( ssList('SKOLEMAAAV54')
    | nil = 'SKOLEMAAAV51' ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(204,plain,
    ( ssList('SKOLEMAAAV54')
    | nil = 'SKOLEMAAAV49' ),
    inference('REWRITE',[status(thm)],[203,192,theory(equality)]) ).

cnf(207,negated_conjecture,
    ( cons('SKOLEMAAAV52',nil) = 'SKOLEMAAAV50'
    | nil = 'SKOLEMAAAV51' ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(208,plain,
    ( cons('SKOLEMAAAV52',nil) = 'SKOLEMAAAV48'
    | nil = 'SKOLEMAAAV49' ),
    inference('REWRITE',[status(thm)],[207,192,193,theory(equality)]) ).

cnf(211,negated_conjecture,
    ( app(app('SKOLEMAAAV53','SKOLEMAAAV50'),'SKOLEMAAAV54') = 'SKOLEMAAAV51'
    | nil = 'SKOLEMAAAV51' ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(212,plain,
    ( app(app('SKOLEMAAAV53','SKOLEMAAAV48'),'SKOLEMAAAV54') = 'SKOLEMAAAV49'
    | nil = 'SKOLEMAAAV49' ),
    inference('REWRITE',[status(thm)],[211,192,193,theory(equality)]) ).

cnf(223,negated_conjecture,
    ( ~ singletonP('SKOLEMAAAV48')
    | ~ segmentP('SKOLEMAAAV49','SKOLEMAAAV48') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(658,plain,
    nil != 'SKOLEMAAAV49',
    inference('UR-RESOLVE',[status(thm)],[81,189,84,194]) ).

cnf(659,plain,
    ssItem('SKOLEMAAAV52'),
    inference('REWRITE',[status(thm)],[196,658]) ).

cnf(660,plain,
    ssList('SKOLEMAAAV53'),
    inference('REWRITE',[status(thm)],[200,658]) ).

cnf(661,plain,
    ssList('SKOLEMAAAV54'),
    inference('REWRITE',[status(thm)],[204,658]) ).

cnf(662,plain,
    cons('SKOLEMAAAV52',nil) = 'SKOLEMAAAV48',
    inference('REWRITE',[status(thm)],[208,658]) ).

cnf(670,plain,
    app(app('SKOLEMAAAV53','SKOLEMAAAV48'),'SKOLEMAAAV54') = 'SKOLEMAAAV49',
    inference('REWRITE',[status(thm)],[212,658]) ).

cnf(906,plain,
    singletonP('SKOLEMAAAV48'),
    inference('HYPERRESOLVE',[status(thm)],[12,188,659,662]) ).

cnf(907,plain,
    ~ segmentP('SKOLEMAAAV49','SKOLEMAAAV48'),
    inference('REWRITE',[status(thm)],[223,906]) ).

cnf(1270,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[22,189,188,907,660,661,670]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWC384+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.14  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n028.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sun Jun 12 16:59:51 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.47  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48  * 
% 0.20/0.48  * 
% 0.20/0.49  #<PACKAGE "SNARK-USER">
% 0.20/0.49  * 
% 0.20/0.49  SNARK-TPTP-OPTIONS
% 0.20/0.49  * 
% 0.20/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49   (USE-FACTORING :POS)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49  * 
% 0.20/0.49  "."
% 0.20/0.49  * 
% 0.20/0.49  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T16:59:51
% 0.20/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-12T16:59:51
% 0.75/0.97  
% 0.75/0.97  
% 0.75/0.97  #||
% 0.75/0.97  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.75/0.97  % SZS output start Refutation
% See solution above
% 0.75/0.97  ||#
% 0.75/0.97  
% 0.75/0.97  ; Summary of computation:
% 0.75/0.97  ;      2249 formulas have been input or derived (from 194 formulas).
% 0.75/0.97  ;      1270 (56%) were retained.  Of these,
% 0.75/0.97  ;          436 (34%) were simplified or subsumed later,
% 0.75/0.97  ;          834 (66%) are still being kept.
% 0.75/0.97  ; 
% 0.75/0.97  ; Run time in seconds excluding printing time:
% 0.75/0.97  ;     0.027   6%   Read assertion file          (1 call)
% 0.75/0.97  ;     0.008   2%   Assert                       (96 calls)
% 0.75/0.97  ;     0.054  11%   Process new row              (2,085 calls)
% 0.75/0.97  ;     0.264  55%   Resolution                   (386 calls)
% 0.75/0.97  ;     0.001   0%   Paramodulation               (193 calls)
% 0.75/0.97  ;     0.000   0%   Factoring                    (8 calls)
% 0.75/0.97  ;     0.004   1%   Condensing                   (825 calls)
% 0.75/0.97  ;     0.024   5%   Forward subsumption          (825 calls)
% 0.75/0.97  ;     0.010   2%   Backward subsumption         (714 calls)
% 0.75/0.97  ;     0.001   0%   Clause clause subsumption    (453 calls)
% 0.75/0.97  ;     0.030   6%   Forward simplification       (2,085 calls)
% 0.75/0.97  ;     0.021   4%   Backward simplification      (1,256 calls)
% 0.75/0.97  ;     0.004   1%   Ordering                     (1,473 calls)
% 0.75/0.97  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.75/0.97  ;     0.001   0%   Purity testing               (1 call)
% 0.75/0.97  ;     0.030   6%   Other
% 0.75/0.97  ;     0.479        Total
% 0.75/0.97  ;     0.481        Real time
% 0.75/0.97  ; 
% 0.75/0.97  ; Term-hash-array has 1,697 terms in all.
% 0.75/0.97  ; Feature-vector-row-index has 362 entries (557 at peak, 714 added, 352 deleted).
% 0.75/0.97  ; Feature-vector-row-index has 1,207 nodes (1,636 at peak, 2,160 added, 953 deleted).
% 0.75/0.97  ;  Retrieved 586 possibly forward subsuming rows in 825 calls.
% 0.75/0.97  ;  Retrieved 280 possibly backward subsumed rows in 714 calls.
% 0.75/0.97  ; Path-index has 1,530 entries (1,530 at peak, 1,902 added, 372 deleted).
% 0.75/0.97  ; Path-index has 1,631 nodes (1,631 at peak, 1,946 added, 315 deleted).
% 0.75/0.97  ; Trie-index has 1,530 entries (1,530 at peak, 1,902 added, 372 deleted).
% 0.75/0.97  ; Trie-index has 3,618 nodes (3,618 at peak, 4,055 added, 437 deleted).
% 0.75/0.97  ; Retrieved 1,377 generalization terms in 6,619 calls.
% 0.75/0.97  ; Retrieved 559 instance terms in 541 calls.
% 0.75/0.97  ; Retrieved 597,778 unifiable terms in 19,898 calls.
% 0.75/0.97  ; 
% 0.75/0.97  ; The agenda of rows to process has 32 entries:
% 0.75/0.97  ;     4 with value 4              25 with value 11               1 with value 27
% 0.75/0.97  ;     1 with value 5               1 with value 21
% 0.75/0.97  ; The agenda of input rows to give has 16 entries:
% 0.75/0.97  ;     1 with value 26              1 with value 32               3 with value 40
% 0.75/0.97  ;     6 with value 27              1 with value 35               3 with value 44
% 0.75/0.97  ;     1 with value 29
% 0.75/0.97  ; The agenda of rows to give has 633 entries:
% 0.75/0.97  ;     8 with value (4 4)          39 with value (4 10)           1 with value (4 16)
% 0.75/0.97  ;    58 with value (4 5)          43 with value (4 11)           8 with value (4 17)
% 0.75/0.97  ;     6 with value (4 6)           5 with value (4 12)          48 with value (4 18)
% 0.75/0.97  ;    36 with value (4 7)          86 with value (4 13)           1 with value (4 19)
% 0.75/0.97  ;    27 with value (4 8)         142 with value (4 15)           3 with value (4 22)
% 0.75/0.97  ;   122 with value (4 9)
% 0.75/0.97  Evaluation took:
% 0.75/0.97    0.482 seconds of real time
% 0.75/0.97    0.456661 seconds of user run time
% 0.75/0.97    0.024873 seconds of system run time
% 0.75/0.97    [Run times include 0.019 seconds GC run time.]
% 0.75/0.97    0 calls to %EVAL
% 0.75/0.97    0 page faults and
% 0.75/0.97    35,403,304 bytes consed.
% 0.75/0.97  :PROOF-FOUND
% 0.75/0.97  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T16:59:52
% 0.75/0.97  :PROOF-FOUND
% 0.75/0.97  * 
%------------------------------------------------------------------------------