TSTP Solution File: SWC093+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC093+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n014.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 21:56:51 EDT 2022

% Result   : Theorem 159.50s 159.69s
% Output   : Refutation 159.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   19
% Syntax   : Number of clauses     :   33 (  20 unt;   1 nHn;  33 RR)
%            Number of literals    :   64 (  15 equ;  35 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :   21 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(6,axiom,
    ( ~ ssList(X)
    | ~ ssItem(Y)
    | ~ memberP(X,Y)
    | ssList('SKOLEMAAAV3'(Y,X)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax3) ).

cnf(7,axiom,
    ( ~ ssList(X)
    | ~ ssItem(Y)
    | ~ memberP(X,Y)
    | ssList('SKOLEMAAAV4'(Y,X)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax3) ).

cnf(8,axiom,
    ( ~ ssList(X)
    | ~ ssItem(Y)
    | ~ memberP(X,Y)
    | app('SKOLEMAAAV3'(Y,X),cons(Y,'SKOLEMAAAV4'(Y,X))) = X ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax3) ).

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(82,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(85,axiom,
    ( ~ ssList(X)
    | ~ ssItem(Y)
    | cons(Y,X) != X ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax18) ).

cnf(135,axiom,
    ( ~ ssList(X)
    | segmentP(X,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax55) ).

cnf(170,axiom,
    ( ~ ssList(X)
    | ~ ssItem(Y)
    | cons(Y,X) = app(cons(Y,nil),X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax81) ).

cnf(171,axiom,
    ( ~ ssList(X)
    | ~ ssList(Y)
    | ~ ssList(Z)
    | app(app(X,Y),Z) = app(X,app(Y,Z)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax82) ).

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

cnf(198,negated_conjecture,
    ( ssItem('SKOLEMAAAV52')
    | ~ neq('SKOLEMAAAV51',nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(199,plain,
    ssItem('SKOLEMAAAV52'),
    inference('REWRITE',[status(thm)],[198,194,192,theory(equality)]) ).

cnf(200,negated_conjecture,
    ( cons('SKOLEMAAAV52',nil) = 'SKOLEMAAAV50'
    | ~ neq('SKOLEMAAAV51',nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(201,plain,
    cons('SKOLEMAAAV52',nil) = 'SKOLEMAAAV48',
    inference('REWRITE',[status(thm)],[200,194,192,193,theory(equality)]) ).

cnf(202,negated_conjecture,
    ( memberP('SKOLEMAAAV51','SKOLEMAAAV52')
    | ~ neq('SKOLEMAAAV51',nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(203,plain,
    memberP('SKOLEMAAAV49','SKOLEMAAAV52'),
    inference('REWRITE',[status(thm)],[202,194,192,theory(equality)]) ).

cnf(221,plain,
    segmentP('SKOLEMAAAV48','SKOLEMAAAV48'),
    inference('HYPERRESOLVE',[status(thm)],[135,188]) ).

cnf(324,plain,
    nil != 'SKOLEMAAAV48',
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[85,84,199]),201,theory(equality)]) ).

cnf(364,plain,
    neq('SKOLEMAAAV48',nil),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[82,188,84]),324]) ).

cnf(393,plain,
    ssList('SKOLEMAAAV3'('SKOLEMAAAV52','SKOLEMAAAV49')),
    inference('HYPERRESOLVE',[status(thm)],[6,189,199,203]) ).

cnf(394,plain,
    ssList('SKOLEMAAAV4'('SKOLEMAAAV52','SKOLEMAAAV49')),
    inference('HYPERRESOLVE',[status(thm)],[7,189,199,203]) ).

cnf(493,plain,
    app('SKOLEMAAAV3'('SKOLEMAAAV52','SKOLEMAAAV49'),cons('SKOLEMAAAV52','SKOLEMAAAV4'('SKOLEMAAAV52','SKOLEMAAAV49'))) = 'SKOLEMAAAV49',
    inference('HYPERRESOLVE',[status(thm)],[8,189,199,203]) ).

cnf(873,plain,
    ~ segmentP('SKOLEMAAAV49','SKOLEMAAAV48'),
    inference('UR-RESOLVE',[status(thm)],[195,364,188,221]) ).

cnf(35535,plain,
    cons('SKOLEMAAAV52','SKOLEMAAAV4'('SKOLEMAAAV52','SKOLEMAAAV49')) = app('SKOLEMAAAV48','SKOLEMAAAV4'('SKOLEMAAAV52','SKOLEMAAAV49')),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[170,394,199]),201,theory(equality)]) ).

cnf(35536,plain,
    app('SKOLEMAAAV3'('SKOLEMAAAV52','SKOLEMAAAV49'),app('SKOLEMAAAV48','SKOLEMAAAV4'('SKOLEMAAAV52','SKOLEMAAAV49'))) = 'SKOLEMAAAV49',
    inference('REWRITE',[status(thm)],[493,35535,theory(equality)]) ).

cnf(35689,plain,
    app(app('SKOLEMAAAV3'('SKOLEMAAAV52','SKOLEMAAAV49'),'SKOLEMAAAV48'),'SKOLEMAAAV4'('SKOLEMAAAV52','SKOLEMAAAV49')) != 'SKOLEMAAAV49',
    inference('UR-RESOLVE',[status(thm)],[22,394,189,188,873,393]) ).

cnf(40595,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[171,394,393,188]),35689,35536,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWC093+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n014.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 03:55:08 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.46  #<PACKAGE "SNARK-USER">
% 0.19/0.46  * 
% 0.19/0.46  SNARK-TPTP-OPTIONS
% 0.19/0.46  * 
% 0.19/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46   (USE-FACTORING :POS)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46  * 
% 0.19/0.46  "."
% 0.19/0.46  * 
% 0.19/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T03:55:08
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-06-12T03:55:08
% 159.50/159.69  
% 159.50/159.69  
% 159.50/159.69  #||
% 159.50/159.69  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 159.50/159.69  % SZS output start Refutation
% See solution above
% 159.50/159.69  ||#
% 159.50/159.69  
% 159.50/159.69  ; Summary of computation:
% 159.50/159.69  ;    132742 formulas have been input or derived (from 292 formulas).
% 159.50/159.69  ;     40595 (31%) were retained.  Of these,
% 159.50/159.69  ;         9818 (24%) were simplified or subsumed later,
% 159.50/159.69  ;        30777 (76%) are still being kept.
% 159.50/159.69  ; 
% 159.50/159.69  ; Run time in seconds excluding printing time:
% 159.50/159.69  ;     0.026   0%   Read assertion file          (1 call)
% 159.50/159.69  ;     0.008   0%   Assert                       (96 calls)
% 159.50/159.69  ;     3.700   2%   Process new row              (123,812 calls)
% 159.50/159.69  ;   148.055  93%   Resolution                   (582 calls)
% 159.50/159.69  ;     0.009   0%   Paramodulation               (291 calls)
% 159.50/159.69  ;     0.005   0%   Condensing                   (971 calls)
% 159.50/159.69  ;     0.026   0%   Forward subsumption          (971 calls)
% 159.50/159.69  ;     0.012   0%   Backward subsumption         (880 calls)
% 159.50/159.69  ;     0.002   0%   Clause clause subsumption    (491 calls)
% 159.50/159.69  ;     3.895   2%   Forward simplification       (122,959 calls)
% 159.50/159.69  ;     3.051   2%   Backward simplification      (40,591 calls)
% 159.50/159.69  ;     0.020   0%   Ordering                     (3,443 calls)
% 159.50/159.69  ;     0.000   0%   Sortal reasoning             (32 calls)
% 159.50/159.69  ;     0.000   0%   Purity testing               (1 call)
% 159.50/159.69  ;     0.408   0%   Other
% 159.50/159.69  ;   159.217        Total
% 159.50/159.69  ;   159.230        Real time
% 159.50/159.70  ; 
% 159.50/159.70  ; Term-hash-array has 54,154 terms in all.
% 159.50/159.70  ; Feature-vector-row-index has 707 entries (710 at peak, 880 added, 173 deleted).
% 159.50/159.70  ; Feature-vector-row-index has 3,458 nodes (3,464 at peak, 4,459 added, 1,001 deleted).
% 159.50/159.70  ;  Retrieved 534 possibly forward subsuming rows in 971 calls.
% 159.50/159.70  ;  Retrieved 284 possibly backward subsumed rows in 880 calls.
% 159.50/159.70  ; Path-index has 41,522 entries (41,522 at peak, 54,394 added, 12,872 deleted).
% 159.50/159.70  ; Path-index has 7,297 nodes (7,307 at peak, 8,383 added, 1,086 deleted).
% 159.50/159.70  ; Trie-index has 41,522 entries (41,522 at peak, 54,394 added, 12,872 deleted).
% 159.50/159.70  ; Trie-index has 117,199 nodes (117,199 at peak, 152,870 added, 35,671 deleted).
% 159.50/159.70  ; Retrieved 294,228 generalization terms in 1,071,925 calls.
% 159.50/159.70  ; Retrieved 39,970 instance terms in 39,710 calls.
% 159.50/159.70  ; Retrieved 331,454,734 unifiable terms in 7,845,283 calls.
% 159.50/159.70  ; 
% 159.50/159.70  ; The agenda of rows to process has 7880 entries:
% 159.50/159.70  ;  1556 with value 25            385 with value 28               1 with value 37
% 159.50/159.70  ;  5307 with value 26            384 with value 29               6 with value 42
% 159.50/159.70  ;   225 with value 27             16 with value 30
% 159.50/159.70  ; The agenda of rows to give has 30490 entries:
% 159.50/159.70  ;     2 with value (4 7)         482 with value (4 18)        4205 with value (4 28)
% 159.50/159.70  ;    58 with value (4 8)        1054 with value (4 19)        2045 with value (4 29)
% 159.50/159.70  ;   120 with value (4 9)         659 with value (4 20)        1778 with value (4 30)
% 159.50/159.70  ;    45 with value (4 10)       1693 with value (4 21)        1373 with value (4 31)
% 159.50/159.70  ;   145 with value (4 11)       1208 with value (4 22)         101 with value (4 32)
% 159.50/159.70  ;   212 with value (4 12)       2329 with value (4 23)         689 with value (4 33)
% 159.50/159.70  ;   178 with value (4 13)       3056 with value (4 24)           6 with value (4 35)
% 159.50/159.70  ;   361 with value (4 14)       1979 with value (4 25)           3 with value (4 36)
% 159.50/159.70  ;   167 with value (4 15)       3679 with value (4 26)           8 with value (4 37)
% 159.50/159.70  ;   555 with value (4 16)       1606 with value (4 27)          30 with value (4 42)
% 159.50/159.70  ;   664 with value (4 17)
% 159.50/159.70  Evaluation took:
% 159.50/159.70    159.234 seconds of real time
% 159.50/159.70    157.68646 seconds of user run time
% 159.50/159.70    1.536066 seconds of system run time
% 159.50/159.70    [Run times include 15.762 seconds GC run time.]
% 159.50/159.70    0 calls to %EVAL
% 159.50/159.70    0 page faults and
% 159.50/159.70    16,586,249,296 bytes consed.
% 159.50/159.70  :PROOF-FOUND
% 159.50/159.70  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T03:57:47
% 159.50/159.70  :PROOF-FOUND
% 159.50/159.70  * 
%------------------------------------------------------------------------------