TSTP Solution File: SWC004+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC004+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 21:56:19 EDT 2022

% Result   : Theorem 28.18s 28.37s
% Output   : Refutation 28.18s
% 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(424,plain,
    ssList(cons('SKOLEMAAAV52',nil)),
    inference('HYPERRESOLVE',[status(thm)],[83,84,198]) ).

cnf(490,plain,
    cons('SKOLEMAAAV52',nil) != nil,
    inference('UR-RESOLVE',[status(thm)],[85,84,198]) ).

cnf(997,plain,
    ~ neq(cons('SKOLEMAAAV52',nil),nil),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[196,204,theory(equality)]),206,202,424,200,theory(equality)]) ).

cnf(4316,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[82,424,84]),490,997]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWC004+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n012.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun Jun 12 17:54:26 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  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 0.19/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47   (USE-FACTORING :POS)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T17:54:26
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n012.cluster.edu at 2022-06-12T17:54:26
% 28.18/28.37  
% 28.18/28.37  
% 28.18/28.37  #||
% 28.18/28.37  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 28.18/28.37  % SZS output start Refutation
% See solution above
% 28.18/28.37  ||#
% 28.18/28.37  
% 28.18/28.37  ; Summary of computation:
% 28.18/28.37  ;     22348 formulas have been input or derived (from 286 formulas).
% 28.18/28.37  ;      4316 (19%) were retained.  Of these,
% 28.18/28.37  ;         1216 (28%) were simplified or subsumed later,
% 28.18/28.37  ;         3100 (72%) are still being kept.
% 28.18/28.37  ; 
% 28.18/28.37  ; Run time in seconds excluding printing time:
% 28.18/28.37  ;     0.027   0%   Read assertion file          (1 call)
% 28.18/28.37  ;     0.008   0%   Assert                       (96 calls)
% 28.18/28.37  ;     0.258   1%   Process new row              (12,701 calls)
% 28.18/28.37  ;    27.183  97%   Resolution                   (570 calls)
% 28.18/28.37  ;     0.004   0%   Paramodulation               (285 calls)
% 28.18/28.37  ;     0.005   0%   Condensing                   (734 calls)
% 28.18/28.37  ;     0.019   0%   Forward subsumption          (734 calls)
% 28.18/28.37  ;     0.014   0%   Backward subsumption         (642 calls)
% 28.18/28.37  ;     0.000   0%   Clause clause subsumption    (254 calls)
% 28.18/28.37  ;     0.236   1%   Forward simplification       (12,356 calls)
% 28.18/28.37  ;     0.070   0%   Backward simplification      (4,310 calls)
% 28.18/28.37  ;     0.006   0%   Ordering                     (1,375 calls)
% 28.18/28.37  ;     0.000   0%   Sortal reasoning             (32 calls)
% 28.18/28.37  ;     0.000   0%   Purity testing               (1 call)
% 28.18/28.37  ;     0.061   0%   Other
% 28.18/28.37  ;    27.891        Total
% 28.18/28.37  ;    27.897        Real time
% 28.18/28.37  ; 
% 28.18/28.37  ; Term-hash-array has 7,698 terms in all.
% 28.18/28.37  ; Feature-vector-row-index has 539 entries (543 at peak, 642 added, 103 deleted).
% 28.18/28.37  ; Feature-vector-row-index has 2,471 nodes (2,566 at peak, 3,166 added, 695 deleted).
% 28.18/28.37  ;  Retrieved 359 possibly forward subsuming rows in 734 calls.
% 28.18/28.37  ;  Retrieved 151 possibly backward subsumed rows in 642 calls.
% 28.18/28.37  ; Path-index has 5,578 entries (5,578 at peak, 7,736 added, 2,158 deleted).
% 28.18/28.37  ; Path-index has 3,680 nodes (3,680 at peak, 4,131 added, 451 deleted).
% 28.18/28.37  ; Trie-index has 5,578 entries (5,578 at peak, 7,736 added, 2,158 deleted).
% 28.18/28.37  ; Trie-index has 15,607 nodes (15,666 at peak, 22,028 added, 6,421 deleted).
% 28.18/28.37  ; Retrieved 19,933 generalization terms in 71,161 calls.
% 28.18/28.37  ; Retrieved 3,719 instance terms in 3,667 calls.
% 28.18/28.37  ; Retrieved 76,846,796 unifiable terms in 1,477,921 calls.
% 28.18/28.37  ; 
% 28.18/28.37  ; The agenda of rows to process has 9077 entries:
% 28.18/28.37  ;   118 with value 16           1442 with value 22               2 with value 28
% 28.18/28.37  ;   120 with value 17            947 with value 23               1 with value 29
% 28.18/28.37  ;    40 with value 18            671 with value 24               1 with value 30
% 28.18/28.37  ;  2140 with value 19            258 with value 25               1 with value 37
% 28.18/28.37  ;  1051 with value 20            111 with value 26               6 with value 42
% 28.18/28.37  ;  2142 with value 21             26 with value 27
% 28.18/28.37  ; The agenda of rows to give has 2816 entries:
% 28.18/28.37  ;    17 with value (4 7)         291 with value (4 15)         197 with value (4 23)
% 28.18/28.37  ;    65 with value (4 8)         118 with value (4 16)          51 with value (4 24)
% 28.18/28.37  ;   310 with value (4 9)         154 with value (4 17)         107 with value (4 25)
% 28.18/28.37  ;    59 with value (4 10)        136 with value (4 18)          17 with value (4 26)
% 28.18/28.37  ;   107 with value (4 11)        145 with value (4 19)           2 with value (4 28)
% 28.18/28.37  ;   214 with value (4 12)         60 with value (4 20)           1 with value (4 31)
% 28.18/28.37  ;   215 with value (4 13)        316 with value (4 21)           6 with value (4 35)
% 28.18/28.37  ;   169 with value (4 14)         59 with value (4 22)
% 28.18/28.37  Evaluation took:
% 28.18/28.37    27.898 seconds of real time
% 28.18/28.37    27.676214 seconds of user run time
% 28.18/28.37    0.217058 seconds of system run time
% 28.18/28.37    [Run times include 1.344 seconds GC run time.]
% 28.18/28.37    0 calls to %EVAL
% 28.18/28.37    0 page faults and
% 28.18/28.37    3,027,652,840 bytes consed.
% 28.18/28.37  :PROOF-FOUND
% 28.18/28.37  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T17:54:54
% 28.18/28.37  :PROOF-FOUND
% 28.18/28.37  * 
%------------------------------------------------------------------------------