TSTP Solution File: SWC204+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC204+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n019.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 21:57:32 EDT 2022

% Result   : Theorem 170.24s 170.49s
% Output   : Refutation 170.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   17
% Syntax   : Number of clauses     :   37 (  20 unt;   8 nHn;  37 RR)
%            Number of literals    :   80 (  35 equ;  42 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-2 aty)
%            Number of variables   :   21 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(81,axiom,
    ( ~ ssList(X)
    | ~ ssList(Y)
    | ~ neq(X,Y)
    | X != Y ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax15) ).

cnf(82,axiom,
    ( ~ ssList(X)
    | ~ ssList(Y)
    | neq(X,Y)
    | X = Y ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax15) ).

cnf(84,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax17) ).

cnf(85,axiom,
    ( ~ ssList(X)
    | ~ ssItem(Y)
    | cons(Y,X) != X ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax18) ).

cnf(88,axiom,
    ( ~ ssList(X)
    | nil = X
    | ssList('SKOLEMAAAV44'(X)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax20) ).

cnf(89,axiom,
    ( ~ ssList(X)
    | nil = X
    | ssItem('SKOLEMAAAV45'(X)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax20) ).

cnf(90,axiom,
    ( ~ ssList(X)
    | nil = X
    | cons('SKOLEMAAAV45'(X),'SKOLEMAAAV44'(X)) = X ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax20) ).

cnf(94,axiom,
    ( ~ ssList(X)
    | nil = X
    | ssList(tl(X)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax24) ).

cnf(95,axiom,
    ( ~ ssList(X)
    | ~ ssItem(Y)
    | tl(cons(Y,X)) = X ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax25) ).

cnf(98,axiom,
    ( ~ ssList(X)
    | app(nil,X) = X ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax28) ).

cnf(188,negated_conjecture,
    ssList('SKOLEMAAAV48'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(189,negated_conjecture,
    ssList('SKOLEMAAAV49'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(192,negated_conjecture,
    'SKOLEMAAAV49' = 'SKOLEMAAAV51',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(193,negated_conjecture,
    'SKOLEMAAAV48' = 'SKOLEMAAAV50',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(194,negated_conjecture,
    neq('SKOLEMAAAV49',nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(195,negated_conjecture,
    ( ~ ssList(X)
    | 'SKOLEMAAAV51' = X
    | ~ ssList(Y)
    | tl('SKOLEMAAAV51') != Y
    | app('SKOLEMAAAV50',Y) != X
    | ~ neq(nil,'SKOLEMAAAV51')
    | ~ neq('SKOLEMAAAV51',nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(196,plain,
    ( ~ ssList(X)
    | 'SKOLEMAAAV49' = X
    | ~ ssList(Y)
    | tl('SKOLEMAAAV49') != Y
    | app('SKOLEMAAAV48',Y) != X
    | ~ neq(nil,'SKOLEMAAAV49') ),
    inference('REWRITE',[status(thm)],[195,194,193,192,theory(equality)]) ).

cnf(197,negated_conjecture,
    ( ~ neq('SKOLEMAAAV48',nil)
    | ~ neq('SKOLEMAAAV51',nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(198,plain,
    ~ neq('SKOLEMAAAV48',nil),
    inference('REWRITE',[status(thm)],[197,194,192,theory(equality)]) ).

cnf(315,plain,
    ( nil = 'SKOLEMAAAV49'
    | ssList('SKOLEMAAAV44'('SKOLEMAAAV49')) ),
    inference('HYPERRESOLVE',[status(thm)],[88,189]) ).

cnf(317,plain,
    ( nil = 'SKOLEMAAAV49'
    | ssItem('SKOLEMAAAV45'('SKOLEMAAAV49')) ),
    inference('HYPERRESOLVE',[status(thm)],[89,189]) ).

cnf(321,plain,
    ( nil = 'SKOLEMAAAV49'
    | ssList(tl('SKOLEMAAAV49')) ),
    inference('HYPERRESOLVE',[status(thm)],[94,189]) ).

cnf(352,plain,
    nil != 'SKOLEMAAAV49',
    inference('UR-RESOLVE',[status(thm)],[81,189,84,194]) ).

cnf(353,plain,
    ssList('SKOLEMAAAV44'('SKOLEMAAAV49')),
    inference('REWRITE',[status(thm)],[315,352]) ).

cnf(354,plain,
    ssItem('SKOLEMAAAV45'('SKOLEMAAAV49')),
    inference('REWRITE',[status(thm)],[317,352]) ).

cnf(356,plain,
    ssList(tl('SKOLEMAAAV49')),
    inference('REWRITE',[status(thm)],[321,352]) ).

cnf(361,plain,
    nil = 'SKOLEMAAAV48',
    inference('UR-RESOLVE',[status(thm)],[82,188,84,198]) ).

cnf(363,plain,
    ( ~ ssList(X)
    | 'SKOLEMAAAV49' = X
    | ~ ssList(Y)
    | tl('SKOLEMAAAV49') != Y
    | app(nil,Y) != X
    | ~ neq(nil,'SKOLEMAAAV49') ),
    inference('REWRITE',[status(thm)],[196,361,theory(equality)]) ).

cnf(364,plain,
    neq(nil,'SKOLEMAAAV49'),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[82,84,189]),352]) ).

cnf(365,plain,
    ( ~ ssList(X)
    | 'SKOLEMAAAV49' = X
    | ~ ssList(Y)
    | tl('SKOLEMAAAV49') != Y
    | app(nil,Y) != X ),
    inference('REWRITE',[status(thm)],[363,364]) ).

cnf(378,plain,
    cons('SKOLEMAAAV45'('SKOLEMAAAV49'),'SKOLEMAAAV44'('SKOLEMAAAV49')) = 'SKOLEMAAAV49',
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[90,189]),352]) ).

cnf(530,plain,
    app(nil,'SKOLEMAAAV44'('SKOLEMAAAV49')) = 'SKOLEMAAAV44'('SKOLEMAAAV49'),
    inference('HYPERRESOLVE',[status(thm)],[98,353]) ).

cnf(774,plain,
    'SKOLEMAAAV44'('SKOLEMAAAV49') != 'SKOLEMAAAV49',
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[85,354,353]),378,theory(equality)]) ).

cnf(791,plain,
    tl('SKOLEMAAAV49') = 'SKOLEMAAAV44'('SKOLEMAAAV49'),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[95,354,353]),378,theory(equality)]) ).

cnf(809,plain,
    app(nil,tl('SKOLEMAAAV49')) = tl('SKOLEMAAAV49'),
    inference('REWRITE',[status(thm)],[530,791,theory(equality)]) ).

cnf(996,plain,
    tl('SKOLEMAAAV49') != 'SKOLEMAAAV49',
    inference('REWRITE',[status(thm)],[774,791,theory(equality)]) ).

cnf(40994,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[365,996,356,356,theory(equality)]),809,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SWC204+1 : TPTP v8.1.0. Released v2.4.0.
% 0.13/0.14  % Command  : run-snark %s %d
% 0.14/0.36  % Computer : n019.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Sun Jun 12 17:47:40 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.20/0.48  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.49  * 
% 0.20/0.49  * 
% 0.20/0.50  #<PACKAGE "SNARK-USER">
% 0.20/0.50  * 
% 0.20/0.50  SNARK-TPTP-OPTIONS
% 0.20/0.50  * 
% 0.20/0.50  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.50   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.50   (USE-FACTORING :POS)
% 0.20/0.50   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.50   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.50   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.50   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.50   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.50   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.50   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.50   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.50   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.50   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.50  * 
% 0.20/0.50  "."
% 0.20/0.50  * 
% 0.20/0.50  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T17:47:40
% 0.20/0.50  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-06-12T17:47:40
% 170.24/170.49  
% 170.24/170.49  
% 170.24/170.49  #||
% 170.24/170.49  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 170.24/170.49  % SZS output start Refutation
% See solution above
% 170.24/170.49  ||#
% 170.24/170.49  
% 170.24/170.49  ; Summary of computation:
% 170.24/170.49  ;    137975 formulas have been input or derived (from 273 formulas).
% 170.24/170.49  ;     40994 (30%) were retained.  Of these,
% 170.24/170.49  ;         8558 (21%) were simplified or subsumed later,
% 170.24/170.49  ;        32436 (79%) are still being kept.
% 170.24/170.49  ; 
% 170.24/170.49  ; Run time in seconds excluding printing time:
% 170.24/170.49  ;     0.026   0%   Read assertion file          (1 call)
% 170.24/170.49  ;     0.007   0%   Assert                       (96 calls)
% 170.24/170.49  ;     4.338   3%   Process new row              (136,403 calls)
% 170.24/170.49  ;   158.597  93%   Resolution                   (544 calls)
% 170.24/170.49  ;     0.001   0%   Paramodulation               (272 calls)
% 170.24/170.49  ;     0.005   0%   Condensing                   (1,346 calls)
% 170.24/170.49  ;     0.051   0%   Forward subsumption          (1,346 calls)
% 170.24/170.49  ;     0.014   0%   Backward subsumption         (1,267 calls)
% 170.24/170.49  ;     0.001   0%   Clause clause subsumption    (689 calls)
% 170.24/170.49  ;     3.138   2%   Forward simplification       (108,738 calls)
% 170.24/170.49  ;     3.352   2%   Backward simplification      (40,992 calls)
% 170.24/170.49  ;     0.033   0%   Ordering                     (5,037 calls)
% 170.24/170.49  ;     0.000   0%   Sortal reasoning             (32 calls)
% 170.24/170.49  ;     0.000   0%   Purity testing               (1 call)
% 170.24/170.49  ;     0.415   0%   Other
% 170.24/170.49  ;   169.978        Total
% 170.24/170.49  ;   169.986        Real time
% 170.24/170.49  ; 
% 170.24/170.49  ; Term-hash-array has 59,299 terms in all.
% 170.24/170.49  ; Feature-vector-row-index has 1,126 entries (1,126 at peak, 1,267 added, 141 deleted).
% 170.24/170.49  ; Feature-vector-row-index has 2,420 nodes (2,420 at peak, 3,046 added, 626 deleted).
% 170.24/170.49  ;  Retrieved 3,199 possibly forward subsuming rows in 1,346 calls.
% 170.24/170.49  ;  Retrieved 2,512 possibly backward subsumed rows in 1,267 calls.
% 170.24/170.49  ; Path-index has 48,049 entries (48,049 at peak, 59,465 added, 11,416 deleted).
% 170.24/170.49  ; Path-index has 11,293 nodes (11,293 at peak, 12,386 added, 1,093 deleted).
% 170.24/170.49  ; Trie-index has 48,049 entries (48,049 at peak, 59,465 added, 11,416 deleted).
% 170.24/170.49  ; Trie-index has 167,571 nodes (167,571 at peak, 204,954 added, 37,383 deleted).
% 170.24/170.49  ; Retrieved 239,966 generalization terms in 908,221 calls.
% 170.24/170.49  ; Retrieved 40,028 instance terms in 39,724 calls.
% 170.24/170.49  ; Retrieved 332,109,033 unifiable terms in 7,655,597 calls.
% 170.24/170.49  ; 
% 170.24/170.49  ; The agenda of rows to process has 71 entries:
% 170.24/170.49  ;    16 with value 14              3 with value 16              44 with value 18
% 170.24/170.49  ;     8 with value 15
% 170.24/170.49  ; The agenda of rows to give has 32172 entries:
% 170.24/170.49  ;     9 with value (4 8)         321 with value (4 19)        3103 with value (4 30)
% 170.24/170.49  ;    79 with value (4 9)         495 with value (4 20)        6101 with value (4 31)
% 170.24/170.49  ;    59 with value (4 10)        632 with value (4 21)        2218 with value (4 32)
% 170.24/170.49  ;    59 with value (4 11)        487 with value (4 22)         278 with value (4 33)
% 170.24/170.49  ;    94 with value (4 12)        409 with value (4 23)        2608 with value (4 34)
% 170.24/170.49  ;   122 with value (4 13)       1320 with value (4 24)           6 with value (4 35)
% 170.24/170.49  ;   233 with value (4 14)       1258 with value (4 25)           1 with value (4 37)
% 170.24/170.49  ;   287 with value (4 15)       1941 with value (4 26)           8 with value (4 38)
% 170.24/170.49  ;   148 with value (4 16)       2479 with value (4 27)           6 with value (4 42)
% 170.24/170.49  ;   554 with value (4 17)       1441 with value (4 28)          48 with value (4 43)
% 170.24/170.49  ;   449 with value (4 18)       4919 with value (4 29)
% 170.24/170.49  Evaluation took:
% 170.24/170.49    169.99 seconds of real time
% 170.24/170.49    168.39145 seconds of user run time
% 170.24/170.49    1.592685 seconds of system run time
% 170.24/170.49    [Run times include 19.331 seconds GC run time.]
% 170.24/170.49    0 calls to %EVAL
% 170.24/170.49    0 page faults and
% 170.24/170.49    19,634,913,904 bytes consed.
% 170.24/170.49  :PROOF-FOUND
% 170.24/170.49  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T17:50:30
% 170.24/170.49  :PROOF-FOUND
% 170.24/170.49  * 
%------------------------------------------------------------------------------