TSTP Solution File: SWC105+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC105+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n021.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 21:56:56 EDT 2022

% Result   : Theorem 0.40s 0.58s
% Output   : Refutation 0.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   23 (   9 unt;   7 nHn;  23 RR)
%            Number of literals    :   41 (  17 equ;  13 neg)
%            Maximal clause size   :    3 (   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   :    2 (   0 sgn)

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

cnf(128,axiom,
    ( ~ ssList(X)
    | rearsegP(X,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax49) ).

cnf(131,axiom,
    ( ~ ssList(X)
    | ~ rearsegP(nil,X)
    | nil = X ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax52) ).

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'
    | ~ neq('SKOLEMAAAV48',nil)
    | ~ rearsegP('SKOLEMAAAV49','SKOLEMAAAV48') ),
    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(197,negated_conjecture,
    ( nil != 'SKOLEMAAAV48'
    | ~ neq('SKOLEMAAAV48',nil)
    | ~ rearsegP('SKOLEMAAAV49','SKOLEMAAAV48') ),
    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'
    | rearsegP('SKOLEMAAAV51','SKOLEMAAAV50') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

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

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

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

cnf(217,plain,
    rearsegP(nil,nil),
    inference('HYPERRESOLVE',[status(thm)],[128,84]) ).

cnf(338,plain,
    nil = 'SKOLEMAAAV49',
    inference('HYPERRESOLVE',[status(thm)],[195,199,201]) ).

cnf(340,plain,
    ( nil != 'SKOLEMAAAV48'
    | neq(nil,nil) ),
    inference('REWRITE',[status(thm)],[196,338,theory(equality)]) ).

cnf(341,plain,
    ( nil != 'SKOLEMAAAV48'
    | ~ neq('SKOLEMAAAV48',nil)
    | ~ rearsegP(nil,'SKOLEMAAAV48') ),
    inference('REWRITE',[status(thm)],[197,338,theory(equality)]) ).

cnf(342,plain,
    ( nil = 'SKOLEMAAAV48'
    | rearsegP(nil,'SKOLEMAAAV48') ),
    inference('REWRITE',[status(thm)],[205,338,theory(equality)]) ).

cnf(343,plain,
    nil = 'SKOLEMAAAV48',
    inference('HYPERRESOLVE',[status(thm)],[131,342,188]) ).

cnf(345,plain,
    neq(nil,nil),
    inference('REWRITE',[status(thm)],[340,343,theory(equality)]) ).

cnf(346,plain,
    $false,
    inference('REWRITE',[status(thm)],[341,217,345,343,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWC105+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n021.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 09:06:56 EDT 2022
% 0.13/0.34  % 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 2022-06-12T09:06:56
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-12T09:06:56
% 0.40/0.58  
% 0.40/0.58  
% 0.40/0.58  #||
% 0.40/0.58  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.40/0.58  % SZS output start Refutation
% See solution above
% 0.40/0.58  ||#
% 0.40/0.58  
% 0.40/0.58  ; Summary of computation:
% 0.40/0.58  ;       579 formulas have been input or derived (from 95 formulas).
% 0.40/0.58  ;       346 (60%) were retained.  Of these,
% 0.40/0.58  ;          125 (36%) were simplified or subsumed later,
% 0.40/0.58  ;          221 (64%) are still being kept.
% 0.40/0.58  ; 
% 0.40/0.58  ; Run time in seconds excluding printing time:
% 0.40/0.58  ;     0.026  24%   Read assertion file          (1 call)
% 0.40/0.58  ;     0.007   7%   Assert                       (96 calls)
% 0.40/0.58  ;     0.021  20%   Process new row              (561 calls)
% 0.40/0.58  ;     0.007   7%   Resolution                   (188 calls)
% 0.40/0.58  ;     0.000   0%   Paramodulation               (94 calls)
% 0.40/0.58  ;     0.000   0%   Factoring                    (6 calls)
% 0.40/0.58  ;     0.004   4%   Condensing                   (267 calls)
% 0.40/0.58  ;     0.006   6%   Forward subsumption          (267 calls)
% 0.40/0.58  ;     0.003   3%   Backward subsumption         (266 calls)
% 0.40/0.58  ;     0.000   0%   Clause clause subsumption    (58 calls)
% 0.40/0.58  ;     0.006   6%   Forward simplification       (560 calls)
% 0.40/0.58  ;     0.003   3%   Backward simplification      (342 calls)
% 0.40/0.58  ;     0.001   1%   Ordering                     (202 calls)
% 0.40/0.58  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.40/0.58  ;     0.001   1%   Purity testing               (1 call)
% 0.40/0.58  ;     0.022  21%   Other
% 0.40/0.58  ;     0.107        Total
% 0.40/0.58  ;     0.109        Real time
% 0.40/0.58  ; 
% 0.40/0.58  ; Term-hash-array has 581 terms in all.
% 0.40/0.58  ; Feature-vector-row-index has 175 entries (263 at peak, 266 added, 91 deleted).
% 0.40/0.58  ; Feature-vector-row-index has 599 nodes (827 at peak, 849 added, 250 deleted).
% 0.40/0.58  ;  Retrieved 114 possibly forward subsuming rows in 267 calls.
% 0.40/0.58  ;  Retrieved 85 possibly backward subsumed rows in 266 calls.
% 0.40/0.58  ; Path-index has 368 entries (582 at peak, 591 added, 223 deleted).
% 0.40/0.58  ; Path-index has 964 nodes (1,169 at peak, 1,178 added, 214 deleted).
% 0.40/0.58  ; Trie-index has 368 entries (582 at peak, 591 added, 223 deleted).
% 0.40/0.58  ; Trie-index has 952 nodes (1,185 at peak, 1,196 added, 244 deleted).
% 0.40/0.58  ; Retrieved 207 generalization terms in 935 calls.
% 0.40/0.58  ; Retrieved 75 instance terms in 75 calls.
% 0.40/0.58  ; Retrieved 10,681 unifiable terms in 730 calls.
% 0.40/0.58  ; 
% 0.40/0.58  ; The agenda of backward simplifiable rows to process has 1 entry:
% 0.40/0.58  ;     1 with value 0
% 0.40/0.58  ; The agenda of input rows to give has 109 entries:
% 0.40/0.58  ;     2 with value 4               2 with value 19               3 with value 26
% 0.40/0.58  ;    12 with value 13             11 with value 20               6 with value 27
% 0.40/0.58  ;    14 with value 14              9 with value 21               1 with value 29
% 0.40/0.58  ;     3 with value 15              5 with value 22               1 with value 32
% 0.40/0.58  ;     9 with value 16              2 with value 23               1 with value 35
% 0.40/0.58  ;     4 with value 17              3 with value 24               3 with value 40
% 0.40/0.58  ;     7 with value 18              8 with value 25               3 with value 44
% 0.40/0.58  ; The agenda of rows to give has 30 entries:
% 0.40/0.58  ;    13 with value (4 5)          16 with value (4 7)            1 with value (4 8)
% 0.40/0.58  Evaluation took:
% 0.40/0.58    0.11 seconds of real time
% 0.40/0.58    0.10359 seconds of user run time
% 0.40/0.58    0.005612 seconds of system run time
% 0.40/0.58    0 calls to %EVAL
% 0.40/0.58    0 page faults and
% 0.40/0.58    7,672,856 bytes consed.
% 0.40/0.58  :PROOF-FOUND
% 0.40/0.58  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T09:06:56
% 0.40/0.58  :PROOF-FOUND
% 0.40/0.58  * 
%------------------------------------------------------------------------------