TSTP Solution File: SWC085+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC085+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n028.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 21:56:48 EDT 2022

% Result   : Theorem 130.79s 130.98s
% Output   : Refutation 130.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   26 (  15 unt;   4 nHn;  26 RR)
%            Number of literals    :   49 (  12 equ;  23 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   :   13 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(13,axiom,
    ( ~ ssList(X)
    | ~ ssList(Y)
    | ~ frontsegP(X,Y)
    | ssList('SKOLEMAAAV6'(Y,X)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax5) ).

cnf(14,axiom,
    ( ~ ssList(X)
    | ~ ssList(Y)
    | ~ frontsegP(X,Y)
    | app(Y,'SKOLEMAAAV6'(Y,X)) = X ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax5) ).

cnf(81,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(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('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(196,negated_conjecture,
    ( nil = 'SKOLEMAAAV51'
    | neq('SKOLEMAAAV50',nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(197,plain,
    ( nil = 'SKOLEMAAAV49'
    | neq('SKOLEMAAAV48',nil) ),
    inference('REWRITE',[status(thm)],[196,193,192,theory(equality)]) ).

cnf(198,negated_conjecture,
    ( nil = 'SKOLEMAAAV51'
    | frontsegP('SKOLEMAAAV51','SKOLEMAAAV50') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(199,plain,
    ( nil = 'SKOLEMAAAV49'
    | frontsegP('SKOLEMAAAV49','SKOLEMAAAV48') ),
    inference('REWRITE',[status(thm)],[198,193,192,theory(equality)]) ).

cnf(219,plain,
    segmentP('SKOLEMAAAV48','SKOLEMAAAV48'),
    inference('HYPERRESOLVE',[status(thm)],[135,188]) ).

cnf(242,plain,
    app(nil,'SKOLEMAAAV48') = 'SKOLEMAAAV48',
    inference('HYPERRESOLVE',[status(thm)],[98,188]) ).

cnf(357,plain,
    nil != 'SKOLEMAAAV49',
    inference('UR-RESOLVE',[status(thm)],[81,189,84,194]) ).

cnf(358,plain,
    neq('SKOLEMAAAV48',nil),
    inference('REWRITE',[status(thm)],[197,357]) ).

cnf(359,plain,
    frontsegP('SKOLEMAAAV49','SKOLEMAAAV48'),
    inference('REWRITE',[status(thm)],[199,357]) ).

cnf(397,plain,
    ssList('SKOLEMAAAV6'('SKOLEMAAAV48','SKOLEMAAAV49')),
    inference('HYPERRESOLVE',[status(thm)],[13,189,188,359]) ).

cnf(428,plain,
    app('SKOLEMAAAV48','SKOLEMAAAV6'('SKOLEMAAAV48','SKOLEMAAAV49')) = 'SKOLEMAAAV49',
    inference('HYPERRESOLVE',[status(thm)],[14,189,188,359]) ).

cnf(667,plain,
    ~ segmentP('SKOLEMAAAV49','SKOLEMAAAV48'),
    inference('UR-RESOLVE',[status(thm)],[195,219,188,358]) ).

cnf(27415,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[136,397,188,188,84,219]),667,428,242,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWC085+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n028.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Sun Jun 12 22:55:52 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.21/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.47  * 
% 0.21/0.47  * 
% 0.21/0.48  #<PACKAGE "SNARK-USER">
% 0.21/0.48  * 
% 0.21/0.48  SNARK-TPTP-OPTIONS
% 0.21/0.48  * 
% 0.21/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48   (USE-FACTORING :POS)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48  * 
% 0.21/0.48  "."
% 0.21/0.48  * 
% 0.21/0.48  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T22:55:52
% 0.21/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-12T22:55:52
% 130.79/130.98  
% 130.79/130.98  
% 130.79/130.98  #||
% 130.79/130.98  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 130.79/130.98  % SZS output start Refutation
% See solution above
% 130.79/130.98  ||#
% 130.79/130.98  
% 130.79/130.98  ; Summary of computation:
% 130.79/130.98  ;     83207 formulas have been input or derived (from 275 formulas).
% 130.79/130.98  ;     27415 (33%) were retained.  Of these,
% 130.79/130.98  ;         6168 (22%) were simplified or subsumed later,
% 130.79/130.98  ;        21247 (78%) are still being kept.
% 130.79/130.98  ; 
% 130.79/130.98  ; Run time in seconds excluding printing time:
% 130.79/130.98  ;     0.026   0%   Read assertion file          (1 call)
% 130.79/130.98  ;     0.008   0%   Assert                       (96 calls)
% 130.79/130.98  ;     2.588   2%   Process new row              (67,392 calls)
% 130.79/130.98  ;   123.531  95%   Resolution                   (548 calls)
% 130.79/130.98  ;     0.003   0%   Paramodulation               (274 calls)
% 130.79/130.98  ;     0.000   0%   Factoring                    (4 calls)
% 130.79/130.98  ;     0.006   0%   Condensing                   (987 calls)
% 130.79/130.98  ;     0.031   0%   Forward subsumption          (987 calls)
% 130.79/130.98  ;     0.005   0%   Backward subsumption         (834 calls)
% 130.79/130.98  ;     0.002   0%   Clause clause subsumption    (565 calls)
% 130.79/130.98  ;     2.034   2%   Forward simplification       (66,987 calls)
% 130.79/130.98  ;     2.005   2%   Backward simplification      (27,411 calls)
% 130.79/130.98  ;     0.016   0%   Ordering                     (3,355 calls)
% 130.79/130.98  ;     0.000   0%   Sortal reasoning             (32 calls)
% 130.79/130.98  ;     0.000   0%   Purity testing               (1 call)
% 130.79/130.98  ;     0.241   0%   Other
% 130.79/130.98  ;   130.496        Total
% 130.79/130.98  ;   130.501        Real time
% 130.79/130.98  ; 
% 130.79/130.98  ; Term-hash-array has 39,226 terms in all.
% 130.79/130.98  ; Feature-vector-row-index has 662 entries (662 at peak, 834 added, 172 deleted).
% 130.79/130.98  ; Feature-vector-row-index has 3,076 nodes (3,076 at peak, 4,053 added, 977 deleted).
% 130.79/130.98  ;  Retrieved 577 possibly forward subsuming rows in 987 calls.
% 130.79/130.98  ;  Retrieved 286 possibly backward subsumed rows in 834 calls.
% 130.79/130.98  ; Path-index has 30,736 entries (30,736 at peak, 39,505 added, 8,769 deleted).
% 130.79/130.98  ; Path-index has 5,642 nodes (5,642 at peak, 6,677 added, 1,035 deleted).
% 130.79/130.98  ; Trie-index has 30,736 entries (30,736 at peak, 39,505 added, 8,769 deleted).
% 130.79/130.98  ; Trie-index has 94,607 nodes (94,607 at peak, 122,602 added, 27,995 deleted).
% 130.79/130.98  ; Retrieved 140,280 generalization terms in 595,921 calls.
% 130.79/130.98  ; Retrieved 26,805 instance terms in 26,576 calls.
% 130.79/130.98  ; Retrieved 289,110,802 unifiable terms in 6,539,690 calls.
% 130.79/130.98  ; 
% 130.79/130.98  ; The agenda of rows to process has 14799 entries:
% 130.79/130.98  ;    59 with value 14            916 with value 21             562 with value 27
% 130.79/130.98  ;    68 with value 15           1214 with value 22             590 with value 28
% 130.79/130.98  ;   170 with value 16           1917 with value 23             294 with value 29
% 130.79/130.98  ;   200 with value 17           3099 with value 24              14 with value 30
% 130.79/130.98  ;    72 with value 18           2006 with value 25               1 with value 37
% 130.79/130.98  ;   169 with value 19           3217 with value 26               6 with value 42
% 130.79/130.98  ;   225 with value 20
% 130.79/130.98  ; The agenda of rows to give has 20980 entries:
% 130.79/130.98  ;     1 with value (4 7)         425 with value (4 17)        1558 with value (4 27)
% 130.79/130.98  ;    53 with value (4 8)         374 with value (4 18)        2404 with value (4 28)
% 130.79/130.98  ;   165 with value (4 9)         398 with value (4 19)        2120 with value (4 29)
% 130.79/130.98  ;    49 with value (4 10)        262 with value (4 20)        1952 with value (4 30)
% 130.79/130.98  ;   138 with value (4 11)        578 with value (4 21)        1562 with value (4 31)
% 130.79/130.98  ;   184 with value (4 12)        528 with value (4 22)         576 with value (4 32)
% 130.79/130.98  ;   171 with value (4 13)       1078 with value (4 23)         864 with value (4 33)
% 130.79/130.98  ;   296 with value (4 14)       1260 with value (4 24)          12 with value (4 35)
% 130.79/130.98  ;   206 with value (4 15)       1452 with value (4 25)           4 with value (4 37)
% 130.79/130.98  ;   438 with value (4 16)       1848 with value (4 26)          24 with value (4 42)
% 130.79/130.98  Evaluation took:
% 130.79/130.98    130.503 seconds of real time
% 130.79/130.98    129.28152 seconds of user run time
% 130.79/130.98    1.217985 seconds of system run time
% 130.79/130.98    [Run times include 11.432 seconds GC run time.]
% 130.79/130.98    0 calls to %EVAL
% 130.79/130.98    0 page faults and
% 130.79/130.98    13,859,386,056 bytes consed.
% 130.79/130.98  :PROOF-FOUND
% 130.79/130.98  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T22:58:02
% 130.79/130.98  :PROOF-FOUND
% 130.79/130.98  * 
%------------------------------------------------------------------------------