TSTP Solution File: SWC003+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC003+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n013.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 21:56:19 EDT 2022

% Result   : Theorem 29.51s 29.67s
% Output   : Refutation 29.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   23 (  13 unt;   1 nHn;  23 RR)
%            Number of literals    :   46 (  13 equ;  27 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   12 (   0 sgn)

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

cnf(83,axiom,
    ( ~ ssList(X)
    | ~ ssItem(Y)
    | ssList(cons(Y,X)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax16) ).

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(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)
    | ~ ssList(Y)
    | ~ ssList(Z)
    | app(app(X,Y),Z) != 'SKOLEMAAAV49'
    | app(X,Z) != 'SKOLEMAAAV48'
    | ~ neq(Y,nil)
    | ~ neq('SKOLEMAAAV51',nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

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

cnf(197,negated_conjecture,
    ( ssItem('SKOLEMAAAV52')
    | ~ neq('SKOLEMAAAV51',nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(198,plain,
    ssItem('SKOLEMAAAV52'),
    inference('REWRITE',[status(thm)],[197,194,192,theory(equality)]) ).

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

cnf(200,plain,
    ssList('SKOLEMAAAV53'),
    inference('REWRITE',[status(thm)],[199,194,192,theory(equality)]) ).

cnf(201,negated_conjecture,
    ( ssList('SKOLEMAAAV54')
    | ~ neq('SKOLEMAAAV51',nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(202,plain,
    ssList('SKOLEMAAAV54'),
    inference('REWRITE',[status(thm)],[201,194,192,theory(equality)]) ).

cnf(203,negated_conjecture,
    ( app(app('SKOLEMAAAV53',cons('SKOLEMAAAV52',nil)),'SKOLEMAAAV54') = 'SKOLEMAAAV51'
    | ~ neq('SKOLEMAAAV51',nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(204,plain,
    app(app('SKOLEMAAAV53',cons('SKOLEMAAAV52',nil)),'SKOLEMAAAV54') = 'SKOLEMAAAV49',
    inference('REWRITE',[status(thm)],[203,194,192,theory(equality)]) ).

cnf(205,negated_conjecture,
    ( app('SKOLEMAAAV53','SKOLEMAAAV54') = 'SKOLEMAAAV50'
    | ~ neq('SKOLEMAAAV51',nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(206,plain,
    app('SKOLEMAAAV53','SKOLEMAAAV54') = 'SKOLEMAAAV48',
    inference('REWRITE',[status(thm)],[205,194,192,193,theory(equality)]) ).

cnf(426,plain,
    ssList(cons('SKOLEMAAAV52',nil)),
    inference('HYPERRESOLVE',[status(thm)],[83,84,198]) ).

cnf(492,plain,
    cons('SKOLEMAAAV52',nil) != nil,
    inference('UR-RESOLVE',[status(thm)],[85,84,198]) ).

cnf(999,plain,
    ~ neq(cons('SKOLEMAAAV52',nil),nil),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[196,204,theory(equality)]),206,202,426,200,theory(equality)]) ).

cnf(4318,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[82,426,84]),492,999]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWC003+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n013.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
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sat Jun 11 23:53:44 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-06-11T23:53:44
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-06-11T23:53:44
% 29.51/29.67  
% 29.51/29.67  
% 29.51/29.67  #||
% 29.51/29.67  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 29.51/29.67  % SZS output start Refutation
% See solution above
% 29.51/29.69  ||#
% 29.51/29.69  
% 29.51/29.69  ; Summary of computation:
% 29.51/29.69  ;     22351 formulas have been input or derived (from 287 formulas).
% 29.51/29.69  ;      4318 (19%) were retained.  Of these,
% 29.51/29.69  ;         1217 (28%) were simplified or subsumed later,
% 29.51/29.69  ;         3101 (72%) are still being kept.
% 29.51/29.69  ; 
% 29.51/29.69  ; Run time in seconds excluding printing time:
% 29.51/29.69  ;     0.027   0%   Read assertion file          (1 call)
% 29.51/29.69  ;     0.009   0%   Assert                       (96 calls)
% 29.51/29.69  ;     0.271   1%   Process new row              (12,703 calls)
% 29.51/29.69  ;    28.461  97%   Resolution                   (572 calls)
% 29.51/29.69  ;     0.008   0%   Paramodulation               (286 calls)
% 29.51/29.69  ;     0.006   0%   Condensing                   (735 calls)
% 29.51/29.69  ;     0.009   0%   Forward subsumption          (735 calls)
% 29.51/29.70  ;     0.010   0%   Backward subsumption         (643 calls)
% 29.51/29.70  ;     0.003   0%   Clause clause subsumption    (254 calls)
% 29.51/29.70  ;     0.200   1%   Forward simplification       (12,358 calls)
% 29.51/29.70  ;     0.107   0%   Backward simplification      (4,311 calls)
% 29.51/29.70  ;     0.004   0%   Ordering                     (1,376 calls)
% 29.51/29.70  ;     0.000   0%   Sortal reasoning             (32 calls)
% 29.51/29.70  ;     0.001   0%   Purity testing               (1 call)
% 29.51/29.70  ;     0.076   0%   Other
% 29.51/29.70  ;    29.192        Total
% 29.51/29.70  ;    29.214        Real time
% 29.51/29.70  ; 
% 29.51/29.70  ; Term-hash-array has 7,700 terms in all.
% 29.51/29.70  ; Feature-vector-row-index has 540 entries (544 at peak, 643 added, 103 deleted).
% 29.51/29.70  ; Feature-vector-row-index has 2,476 nodes (2,571 at peak, 3,171 added, 695 deleted).
% 29.51/29.70  ;  Retrieved 360 possibly forward subsuming rows in 735 calls.
% 29.51/29.70  ;  Retrieved 151 possibly backward subsumed rows in 643 calls.
% 29.51/29.70  ; Path-index has 5,580 entries (5,580 at peak, 7,737 added, 2,157 deleted).
% 29.51/29.70  ; Path-index has 3,680 nodes (3,680 at peak, 4,131 added, 451 deleted).
% 29.51/29.70  ; Trie-index has 5,580 entries (5,580 at peak, 7,737 added, 2,157 deleted).
% 29.51/29.70  ; Trie-index has 15,609 nodes (15,668 at peak, 22,029 added, 6,420 deleted).
% 29.51/29.70  ; Retrieved 19,935 generalization terms in 71,167 calls.
% 29.51/29.70  ; Retrieved 3,719 instance terms in 3,667 calls.
% 29.51/29.70  ; Retrieved 77,945,564 unifiable terms in 1,477,947 calls.
% 29.51/29.70  ; 
% 29.51/29.70  ; The agenda of rows to process has 9077 entries:
% 29.51/29.70  ;   118 with value 16           1442 with value 22               2 with value 28
% 29.51/29.70  ;   120 with value 17            947 with value 23               1 with value 29
% 29.51/29.70  ;    40 with value 18            671 with value 24               1 with value 30
% 29.51/29.70  ;  2140 with value 19            258 with value 25               1 with value 37
% 29.51/29.70  ;  1051 with value 20            111 with value 26               6 with value 42
% 29.51/29.70  ;  2142 with value 21             26 with value 27
% 29.51/29.70  ; The agenda of rows to give has 2816 entries:
% 29.51/29.70  ;    17 with value (4 7)         291 with value (4 15)         197 with value (4 23)
% 29.51/29.70  ;    65 with value (4 8)         118 with value (4 16)          51 with value (4 24)
% 29.51/29.70  ;   310 with value (4 9)         154 with value (4 17)         107 with value (4 25)
% 29.51/29.70  ;    59 with value (4 10)        136 with value (4 18)          17 with value (4 26)
% 29.51/29.70  ;   107 with value (4 11)        145 with value (4 19)           2 with value (4 28)
% 29.51/29.70  ;   214 with value (4 12)         60 with value (4 20)           1 with value (4 31)
% 29.51/29.70  ;   215 with value (4 13)        316 with value (4 21)           6 with value (4 35)
% 29.51/29.70  ;   169 with value (4 14)         59 with value (4 22)
% 29.51/29.70  Evaluation took:
% 29.51/29.70    29.215 seconds of real time
% 29.51/29.70    28.963024 seconds of user run time
% 29.51/29.70    0.251723 seconds of system run time
% 29.51/29.70    [Run times include 1.33 seconds GC run time.]
% 29.51/29.70    0 calls to %EVAL
% 29.51/29.70    0 page faults and
% 29.51/29.70    3,036,518,456 bytes consed.
% 29.51/29.70  :PROOF-FOUND
% 29.51/29.70  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-11T23:54:13
% 29.51/29.70  :PROOF-FOUND
% 29.51/29.70  * 
%------------------------------------------------------------------------------