TSTP Solution File: SWC060+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC060+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 21:56:40 EDT 2022

% Result   : Theorem 0.76s 1.00s
% Output   : Refutation 0.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   21 (  10 unt;   6 nHn;  21 RR)
%            Number of literals    :   38 (  14 equ;  14 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    5 (   0 sgn)

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

cnf(138,axiom,
    ( ~ ssList(X)
    | ~ segmentP(nil,X)
    | nil = X ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax58) ).

cnf(188,negated_conjecture,
    ssList('SKOLEMAAAV48'),
    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(195,negated_conjecture,
    ( nil = 'SKOLEMAAAV49'
    | ~ ssList(X)
    | ~ neq(X,nil)
    | ~ segmentP('SKOLEMAAAV49',X)
    | ~ segmentP('SKOLEMAAAV48',X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(196,negated_conjecture,
    ( nil != 'SKOLEMAAAV48'
    | neq('SKOLEMAAAV49',nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

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

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

cnf(200,negated_conjecture,
    ( nil = 'SKOLEMAAAV51'
    | segmentP('SKOLEMAAAV51','SKOLEMAAAV50') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(201,plain,
    ( nil = 'SKOLEMAAAV49'
    | segmentP('SKOLEMAAAV49','SKOLEMAAAV48') ),
    inference('REWRITE',[status(thm)],[200,193,192,theory(equality)]) ).

cnf(204,negated_conjecture,
    ( nil = 'SKOLEMAAAV50'
    | segmentP('SKOLEMAAAV51','SKOLEMAAAV50') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(205,plain,
    ( nil = 'SKOLEMAAAV48'
    | segmentP('SKOLEMAAAV49','SKOLEMAAAV48') ),
    inference('REWRITE',[status(thm)],[204,192,193,theory(equality)]) ).

cnf(221,plain,
    segmentP('SKOLEMAAAV48','SKOLEMAAAV48'),
    inference('HYPERRESOLVE',[status(thm)],[135,188]) ).

cnf(360,plain,
    ~ neq(nil,nil),
    inference('UR-RESOLVE',[status(thm)],[81,84,84,theory(equality)]) ).

cnf(666,plain,
    nil = 'SKOLEMAAAV49',
    inference('HYPERRESOLVE',[status(thm)],[195,221,188,199,201]) ).

cnf(668,plain,
    nil != 'SKOLEMAAAV48',
    inference('REWRITE',[status(thm)],[196,360,666,theory(equality)]) ).

cnf(684,plain,
    segmentP(nil,'SKOLEMAAAV48'),
    inference('REWRITE',[status(thm)],[205,668,666,theory(equality)]) ).

cnf(697,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[138,668,188]),684]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWC060+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n015.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 21:42:07 EDT 2022
% 0.14/0.35  % 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 2022-06-12T21:42:07
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-06-12T21:42:07
% 0.76/1.00  
% 0.76/1.00  
% 0.76/1.00  #||
% 0.76/1.00  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.76/1.00  % SZS output start Refutation
% See solution above
% 0.76/1.00  ||#
% 0.76/1.00  
% 0.76/1.00  ; Summary of computation:
% 0.76/1.00  ;      1642 formulas have been input or derived (from 218 formulas).
% 0.76/1.00  ;       697 (42%) were retained.  Of these,
% 0.76/1.00  ;          290 (42%) were simplified or subsumed later,
% 0.76/1.00  ;          407 (58%) are still being kept.
% 0.76/1.00  ; 
% 0.76/1.00  ; Run time in seconds excluding printing time:
% 0.76/1.00  ;     0.032   6%   Read assertion file          (1 call)
% 0.76/1.00  ;     0.009   2%   Assert                       (96 calls)
% 0.76/1.00  ;     0.034   7%   Process new row              (1,485 calls)
% 0.76/1.00  ;     0.353  68%   Resolution                   (434 calls)
% 0.76/1.00  ;     0.002   0%   Paramodulation               (217 calls)
% 0.76/1.00  ;     0.000   0%   Factoring                    (5 calls)
% 0.76/1.00  ;     0.009   2%   Condensing                   (334 calls)
% 0.76/1.00  ;     0.004   1%   Forward subsumption          (334 calls)
% 0.76/1.00  ;     0.009   2%   Backward subsumption         (325 calls)
% 0.76/1.00  ;     0.001   0%   Clause clause subsumption    (144 calls)
% 0.76/1.00  ;     0.023   4%   Forward simplification       (1,472 calls)
% 0.76/1.00  ;     0.013   3%   Backward simplification      (693 calls)
% 0.76/1.00  ;     0.002   0%   Ordering                     (479 calls)
% 0.76/1.00  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.76/1.00  ;     0.000   0%   Purity testing               (1 call)
% 0.76/1.00  ;     0.026   5%   Other
% 0.76/1.00  ;     0.517        Total
% 0.76/1.00  ;     0.519        Real time
% 0.76/1.00  ; 
% 0.76/1.00  ; Term-hash-array has 1,191 terms in all.
% 0.76/1.00  ; Feature-vector-row-index has 219 entries (325 at peak, 325 added, 106 deleted).
% 0.76/1.00  ; Feature-vector-row-index has 828 nodes (1,314 at peak, 1,314 added, 486 deleted).
% 0.76/1.00  ;  Retrieved 176 possibly forward subsuming rows in 334 calls.
% 0.76/1.00  ;  Retrieved 126 possibly backward subsumed rows in 325 calls.
% 0.76/1.00  ; Path-index has 721 entries (1,142 at peak, 1,226 added, 505 deleted).
% 0.76/1.00  ; Path-index has 1,483 nodes (1,764 at peak, 1,850 added, 367 deleted).
% 0.76/1.00  ; Trie-index has 721 entries (1,142 at peak, 1,226 added, 505 deleted).
% 0.76/1.00  ; Trie-index has 2,120 nodes (3,264 at peak, 3,435 added, 1,315 deleted).
% 0.76/1.00  ; Retrieved 1,372 generalization terms in 4,738 calls.
% 0.76/1.00  ; Retrieved 370 instance terms in 367 calls.
% 0.76/1.00  ; Retrieved 765,411 unifiable terms in 23,340 calls.
% 0.76/1.00  ; 
% 0.76/1.00  ; The agenda of rows to process has 39 entries:
% 0.76/1.00  ;     3 with value 5               6 with value 8                4 with value 11
% 0.76/1.00  ;     8 with value 6              16 with value 10               2 with value 13
% 0.76/1.00  ; The agenda of input rows to give has 2 entries:
% 0.76/1.00  ;     2 with value 4
% 0.76/1.00  ; The agenda of rows to give has 202 entries:
% 0.76/1.00  ;    15 with value (4 5)          15 with value (4 11)           6 with value (4 17)
% 0.76/1.00  ;     5 with value (4 6)          11 with value (4 12)           8 with value (4 18)
% 0.76/1.00  ;    19 with value (4 7)          17 with value (4 13)           4 with value (4 19)
% 0.76/1.00  ;    20 with value (4 8)           6 with value (4 14)           4 with value (4 21)
% 0.76/1.00  ;    41 with value (4 9)           8 with value (4 15)           1 with value (4 22)
% 0.76/1.00  ;     9 with value (4 10)          7 with value (4 16)           6 with value (4 25)
% 0.76/1.00  Evaluation took:
% 0.76/1.00    0.519 seconds of real time
% 0.76/1.00    0.491438 seconds of user run time
% 0.76/1.00    0.027938 seconds of system run time
% 0.76/1.00    [Run times include 0.025 seconds GC run time.]
% 0.76/1.00    0 calls to %EVAL
% 0.76/1.00    0 page faults and
% 0.76/1.00    42,456,216 bytes consed.
% 0.76/1.00  :PROOF-FOUND
% 0.76/1.00  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T21:42:08
% 0.76/1.00  :PROOF-FOUND
% 0.76/1.00  * 
%------------------------------------------------------------------------------