TSTP Solution File: SWC355+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC355+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n015.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 21:58:21 EDT 2022

% Result   : Theorem 28.61s 28.85s
% Output   : Refutation 28.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   19 (  12 unt;   0 nHn;  19 RR)
%            Number of literals    :   31 (   6 equ;  14 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :    8 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
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(98,axiom,
    ( ~ ssList(X)
    | app(nil,X) = X ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax28) ).

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

cnf(136,axiom,
    ( ~ ssList(X)
    | ~ ssList(Y)
    | ~ ssList(Z)
    | ~ ssList(U)
    | ~ segmentP(X,Y)
    | segmentP(app(app(Z,X),U),Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax56) ).

cnf(188,negated_conjecture,
    ssList('SKOLEMAAAW48'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(192,negated_conjecture,
    'SKOLEMAAAW49' = 'SKOLEMAAAW51',
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(193,negated_conjecture,
    'SKOLEMAAAW48' = 'SKOLEMAAAW50',
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(194,negated_conjecture,
    neq('SKOLEMAAAW49',nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(195,negated_conjecture,
    ( ssItem('SKOLEMAAAW52')
    | ~ neq('SKOLEMAAAW51',nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(196,plain,
    ssItem('SKOLEMAAAW52'),
    inference('REWRITE',[status(thm)],[195,194,192,theory(equality)]) ).

cnf(197,negated_conjecture,
    ( app('SKOLEMAAAW50',cons('SKOLEMAAAW52',nil)) = 'SKOLEMAAAW51'
    | ~ neq('SKOLEMAAAW51',nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(198,plain,
    app('SKOLEMAAAW48',cons('SKOLEMAAAW52',nil)) = 'SKOLEMAAAW49',
    inference('REWRITE',[status(thm)],[197,194,192,193,theory(equality)]) ).

cnf(199,negated_conjecture,
    ( ~ segmentP('SKOLEMAAAW49','SKOLEMAAAW48')
    | ~ neq('SKOLEMAAAW51',nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(200,plain,
    ~ segmentP('SKOLEMAAAW49','SKOLEMAAAW48'),
    inference('REWRITE',[status(thm)],[199,194,192,theory(equality)]) ).

cnf(218,plain,
    segmentP('SKOLEMAAAW48','SKOLEMAAAW48'),
    inference('HYPERRESOLVE',[status(thm)],[135,188]) ).

cnf(250,plain,
    app(nil,'SKOLEMAAAW48') = 'SKOLEMAAAW48',
    inference('HYPERRESOLVE',[status(thm)],[98,188]) ).

cnf(328,plain,
    ssList(cons('SKOLEMAAAW52',nil)),
    inference('HYPERRESOLVE',[status(thm)],[83,84,196]) ).

cnf(3848,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[136,328,188,188,84,218]),200,198,250,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWC355+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n015.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
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun Jun 12 06:38:06 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47  * 
% 0.19/0.47  * 
% 0.19/0.48  #<PACKAGE "SNARK-USER">
% 0.19/0.48  * 
% 0.19/0.48  SNARK-TPTP-OPTIONS
% 0.19/0.48  * 
% 0.19/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48   (USE-FACTORING :POS)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48  * 
% 0.19/0.48  "."
% 0.19/0.48  * 
% 0.19/0.48  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T06:38:06
% 0.19/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-06-12T06:38:06
% 28.61/28.85  
% 28.61/28.85  
% 28.61/28.85  #||
% 28.61/28.85  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 28.61/28.85  % SZS output start Refutation
% See solution above
% 28.61/28.85  ||#
% 28.61/28.85  
% 28.61/28.85  ; Summary of computation:
% 28.61/28.85  ;     18484 formulas have been input or derived (from 276 formulas).
% 28.61/28.85  ;      3848 (21%) were retained.  Of these,
% 28.61/28.85  ;         1662 (43%) were simplified or subsumed later,
% 28.61/28.85  ;         2186 (57%) are still being kept.
% 28.61/28.85  ; 
% 28.61/28.85  ; Run time in seconds excluding printing time:
% 28.61/28.85  ;     0.026   0%   Read assertion file          (1 call)
% 28.61/28.85  ;     0.009   0%   Assert                       (96 calls)
% 28.61/28.85  ;     0.220   1%   Process new row              (11,098 calls)
% 28.61/28.85  ;    27.699  98%   Resolution                   (550 calls)
% 28.61/28.85  ;     0.004   0%   Paramodulation               (275 calls)
% 28.61/28.85  ;     0.005   0%   Condensing                   (778 calls)
% 28.61/28.85  ;     0.013   0%   Forward subsumption          (778 calls)
% 28.61/28.85  ;     0.007   0%   Backward subsumption         (617 calls)
% 28.61/28.85  ;     0.001   0%   Clause clause subsumption    (329 calls)
% 28.61/28.85  ;     0.217   1%   Forward simplification       (10,693 calls)
% 28.61/28.85  ;     0.107   0%   Backward simplification      (3,845 calls)
% 28.61/28.85  ;     0.004   0%   Ordering                     (1,293 calls)
% 28.61/28.85  ;     0.000   0%   Sortal reasoning             (32 calls)
% 28.61/28.85  ;     0.001   0%   Purity testing               (1 call)
% 28.61/28.85  ;     0.050   0%   Other
% 28.61/28.85  ;    28.363        Total
% 28.61/28.85  ;    28.372        Real time
% 28.61/28.85  ; 
% 28.61/28.85  ; Term-hash-array has 6,783 terms in all.
% 28.61/28.85  ; Feature-vector-row-index has 430 entries (440 at peak, 617 added, 187 deleted).
% 28.61/28.85  ; Feature-vector-row-index has 1,970 nodes (2,028 at peak, 3,023 added, 1,053 deleted).
% 28.61/28.85  ;  Retrieved 444 possibly forward subsuming rows in 778 calls.
% 28.61/28.85  ;  Retrieved 156 possibly backward subsumed rows in 617 calls.
% 28.61/28.85  ; Path-index has 3,981 entries (4,082 at peak, 6,853 added, 2,872 deleted).
% 28.61/28.85  ; Path-index has 3,334 nodes (3,334 at peak, 4,162 added, 828 deleted).
% 28.61/28.85  ; Trie-index has 3,981 entries (4,082 at peak, 6,853 added, 2,872 deleted).
% 28.61/28.85  ; Trie-index has 12,441 nodes (12,980 at peak, 22,042 added, 9,601 deleted).
% 28.61/28.85  ; Retrieved 16,001 generalization terms in 64,116 calls.
% 28.61/28.85  ; Retrieved 3,338 instance terms in 3,227 calls.
% 28.61/28.85  ; Retrieved 73,417,798 unifiable terms in 1,544,511 calls.
% 28.61/28.85  ; 
% 28.61/28.85  ; The agenda of rows to process has 6865 entries:
% 28.61/28.85  ;    67 with value 14           1264 with value 21              70 with value 27
% 28.61/28.85  ;    67 with value 15           1194 with value 22              10 with value 28
% 28.61/28.85  ;   126 with value 16           1229 with value 23               1 with value 29
% 28.61/28.85  ;    70 with value 17            783 with value 24               1 with value 30
% 28.61/28.85  ;    34 with value 18            490 with value 25               1 with value 37
% 28.61/28.85  ;   576 with value 19            163 with value 26               6 with value 42
% 28.61/28.85  ;   713 with value 20
% 28.61/28.85  ; The agenda of rows to give has 1914 entries:
% 28.61/28.85  ;     1 with value (4 6)         110 with value (4 15)         130 with value (4 23)
% 28.61/28.85  ;     7 with value (4 7)         104 with value (4 16)         136 with value (4 24)
% 28.61/28.85  ;    57 with value (4 8)         122 with value (4 17)          64 with value (4 25)
% 28.61/28.85  ;   135 with value (4 9)          84 with value (4 18)          48 with value (4 26)
% 28.61/28.85  ;    40 with value (4 10)         81 with value (4 19)          25 with value (4 27)
% 28.61/28.85  ;    97 with value (4 11)         76 with value (4 20)           4 with value (4 28)
% 28.61/28.85  ;    79 with value (4 12)        145 with value (4 21)           5 with value (4 31)
% 28.61/28.85  ;   119 with value (4 13)         62 with value (4 22)          12 with value (4 35)
% 28.61/28.85  ;   171 with value (4 14)
% 28.61/28.85  Evaluation took:
% 28.61/28.85    28.372 seconds of real time
% 28.61/28.85    28.1157 seconds of user run time
% 28.61/28.85    0.248806 seconds of system run time
% 28.61/28.85    [Run times include 1.484 seconds GC run time.]
% 28.61/28.85    0 calls to %EVAL
% 28.61/28.85    0 page faults and
% 28.61/28.85    3,473,386,000 bytes consed.
% 28.61/28.85  :PROOF-FOUND
% 28.61/28.85  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T06:38:35
% 28.61/28.85  :PROOF-FOUND
% 28.61/28.85  * 
%------------------------------------------------------------------------------