TSTP Solution File: SWC122+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC122+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n010.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 21:57:02 EDT 2022

% Result   : Theorem 131.24s 131.45s
% Output   : Refutation 131.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   22 (  14 unt;   0 nHn;  22 RR)
%            Number of literals    :   38 (   6 equ;  18 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    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   10 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(16,axiom,
    ( ~ ssList(X)
    | ~ ssList(Y)
    | ~ rearsegP(X,Y)
    | ssList('SKOLEMAAAU7'(Y,X)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax6) ).

cnf(17,axiom,
    ( ~ ssList(X)
    | ~ ssList(Y)
    | ~ rearsegP(X,Y)
    | app('SKOLEMAAAU7'(Y,X),Y) = X ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax6) ).

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

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(175,axiom,
    ( ~ ssList(X)
    | app(X,nil) = X ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax84) ).

cnf(188,negated_conjecture,
    ssList('SKOLEMAAAU48'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(189,negated_conjecture,
    ssList('SKOLEMAAAU49'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(192,negated_conjecture,
    'SKOLEMAAAU49' = 'SKOLEMAAAU51',
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(193,negated_conjecture,
    'SKOLEMAAAU48' = 'SKOLEMAAAU50',
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(194,negated_conjecture,
    neq('SKOLEMAAAU49',nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(197,negated_conjecture,
    ( ~ neq('SKOLEMAAAU48',nil)
    | ~ segmentP('SKOLEMAAAU49','SKOLEMAAAU48') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(198,negated_conjecture,
    ( ~ neq('SKOLEMAAAU51',nil)
    | neq('SKOLEMAAAU50',nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(199,plain,
    neq('SKOLEMAAAU48',nil),
    inference('REWRITE',[status(thm)],[198,193,194,192,theory(equality)]) ).

cnf(200,negated_conjecture,
    ( ~ neq('SKOLEMAAAU51',nil)
    | rearsegP('SKOLEMAAAU51','SKOLEMAAAU50') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(201,plain,
    rearsegP('SKOLEMAAAU49','SKOLEMAAAU48'),
    inference('REWRITE',[status(thm)],[200,193,194,192,theory(equality)]) ).

cnf(202,plain,
    ~ segmentP('SKOLEMAAAU49','SKOLEMAAAU48'),
    inference('REWRITE',[status(thm)],[197,199]) ).

cnf(218,plain,
    segmentP('SKOLEMAAAU48','SKOLEMAAAU48'),
    inference('HYPERRESOLVE',[status(thm)],[135,188]) ).

cnf(243,plain,
    app('SKOLEMAAAU49',nil) = 'SKOLEMAAAU49',
    inference('HYPERRESOLVE',[status(thm)],[175,189]) ).

cnf(394,plain,
    ssList('SKOLEMAAAU7'('SKOLEMAAAU48','SKOLEMAAAU49')),
    inference('HYPERRESOLVE',[status(thm)],[16,189,188,201]) ).

cnf(425,plain,
    app('SKOLEMAAAU7'('SKOLEMAAAU48','SKOLEMAAAU49'),'SKOLEMAAAU48') = 'SKOLEMAAAU49',
    inference('HYPERRESOLVE',[status(thm)],[17,189,188,201]) ).

cnf(27386,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[136,394,188,188,84,218]),202,243,425,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SWC122+1 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.12  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n010.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sun Jun 12 23:30:25 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.20/0.44  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.45  * 
% 0.20/0.45  * 
% 0.20/0.46  #<PACKAGE "SNARK-USER">
% 0.20/0.46  * 
% 0.20/0.46  SNARK-TPTP-OPTIONS
% 0.20/0.46  * 
% 0.20/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46   (USE-FACTORING :POS)
% 0.20/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46  * 
% 0.20/0.46  "."
% 0.20/0.46  * 
% 0.20/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T23:30:25
% 0.20/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2022-06-12T23:30:25
% 131.24/131.45  
% 131.24/131.45  
% 131.24/131.45  #||
% 131.24/131.45  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 131.24/131.45  % SZS output start Refutation
% See solution above
% 131.24/131.45  ||#
% 131.24/131.45  
% 131.24/131.45  ; Summary of computation:
% 131.24/131.45  ;     83201 formulas have been input or derived (from 272 formulas).
% 131.24/131.45  ;     27386 (33%) were retained.  Of these,
% 131.24/131.45  ;         6172 (23%) were simplified or subsumed later,
% 131.24/131.45  ;        21214 (77%) are still being kept.
% 131.24/131.45  ; 
% 131.24/131.45  ; Run time in seconds excluding printing time:
% 131.24/131.45  ;     0.026   0%   Read assertion file          (1 call)
% 131.24/131.45  ;     0.008   0%   Assert                       (96 calls)
% 131.24/131.45  ;     2.363   2%   Process new row              (67,478 calls)
% 131.24/131.45  ;   124.137  95%   Resolution                   (542 calls)
% 131.24/131.45  ;     0.010   0%   Paramodulation               (271 calls)
% 131.24/131.45  ;     0.009   0%   Condensing                   (976 calls)
% 131.24/131.45  ;     0.028   0%   Forward subsumption          (976 calls)
% 131.24/131.45  ;     0.018   0%   Backward subsumption         (823 calls)
% 131.24/131.45  ;     0.002   0%   Clause clause subsumption    (541 calls)
% 131.24/131.45  ;     2.219   2%   Forward simplification       (67,073 calls)
% 131.24/131.45  ;     1.878   1%   Backward simplification      (27,383 calls)
% 131.24/131.45  ;     0.014   0%   Ordering                     (3,330 calls)
% 131.24/131.45  ;     0.000   0%   Sortal reasoning             (32 calls)
% 131.24/131.45  ;     0.001   0%   Purity testing               (1 call)
% 131.24/131.45  ;     0.268   0%   Other
% 131.24/131.45  ;   130.981        Total
% 131.24/131.45  ;   130.995        Real time
% 131.24/131.45  ; 
% 131.24/131.45  ; Term-hash-array has 39,201 terms in all.
% 131.24/131.45  ; Feature-vector-row-index has 653 entries (653 at peak, 823 added, 170 deleted).
% 131.24/131.45  ; Feature-vector-row-index has 3,064 nodes (3,064 at peak, 4,047 added, 983 deleted).
% 131.24/131.45  ;  Retrieved 565 possibly forward subsuming rows in 976 calls.
% 131.24/131.45  ;  Retrieved 274 possibly backward subsumed rows in 823 calls.
% 131.24/131.45  ; Path-index has 30,704 entries (30,704 at peak, 39,481 added, 8,777 deleted).
% 131.24/131.45  ; Path-index has 5,663 nodes (5,663 at peak, 6,700 added, 1,037 deleted).
% 131.24/131.45  ; Trie-index has 30,704 entries (30,704 at peak, 39,481 added, 8,777 deleted).
% 131.24/131.45  ; Trie-index has 94,754 nodes (94,754 at peak, 122,872 added, 28,118 deleted).
% 131.24/131.45  ; Retrieved 140,499 generalization terms in 596,366 calls.
% 131.24/131.45  ; Retrieved 26,833 instance terms in 26,559 calls.
% 131.24/131.45  ; Retrieved 289,093,626 unifiable terms in 6,539,422 calls.
% 131.24/131.45  ; 
% 131.24/131.45  ; The agenda of rows to process has 14708 entries:
% 131.24/131.45  ;    56 with value 15            916 with value 21             562 with value 27
% 131.24/131.45  ;   172 with value 16           1214 with value 22             590 with value 28
% 131.24/131.45  ;   206 with value 17           1917 with value 23             294 with value 29
% 131.24/131.45  ;    44 with value 18           3099 with value 24              14 with value 30
% 131.24/131.45  ;   169 with value 19           2006 with value 25               1 with value 37
% 131.24/131.45  ;   225 with value 20           3217 with value 26               6 with value 42
% 131.24/131.45  ; The agenda of rows to give has 20947 entries:
% 131.24/131.45  ;    56 with value (4 8)         310 with value (4 18)        2404 with value (4 28)
% 131.24/131.45  ;   164 with value (4 9)         400 with value (4 19)        2120 with value (4 29)
% 131.24/131.45  ;    48 with value (4 10)        254 with value (4 20)        1952 with value (4 30)
% 131.24/131.45  ;   158 with value (4 11)        578 with value (4 21)        1562 with value (4 31)
% 131.24/131.45  ;   190 with value (4 12)        528 with value (4 22)         576 with value (4 32)
% 131.24/131.45  ;   156 with value (4 13)       1078 with value (4 23)         864 with value (4 33)
% 131.24/131.45  ;   330 with value (4 14)       1260 with value (4 24)          12 with value (4 35)
% 131.24/131.45  ;   166 with value (4 15)       1452 with value (4 25)           4 with value (4 37)
% 131.24/131.45  ;   478 with value (4 16)       1848 with value (4 26)          24 with value (4 42)
% 131.24/131.45  ;   417 with value (4 17)       1558 with value (4 27)
% 131.24/131.45  Evaluation took:
% 131.24/131.45    130.997 seconds of real time
% 131.24/131.45    129.89928 seconds of user run time
% 131.24/131.45    1.084798 seconds of system run time
% 131.24/131.45    [Run times include 10.993 seconds GC run time.]
% 131.24/131.45    0 calls to %EVAL
% 131.24/131.45    0 page faults and
% 131.24/131.45    13,860,160,152 bytes consed.
% 131.24/131.45  :PROOF-FOUND
% 131.24/131.45  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T23:32:36
% 131.24/131.45  :PROOF-FOUND
% 131.24/131.45  * 
%------------------------------------------------------------------------------