TSTP Solution File: SWC106+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC106+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n024.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 0.46s 0.67s
% Output   : Refutation 0.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   23 (  14 unt;   1 nHn;  23 RR)
%            Number of literals    :   39 (  10 equ;  20 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :    7 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(18,axiom,
    ( ~ ssList(X)
    | ~ ssList(Y)
    | rearsegP(X,Y)
    | ~ ssList(Z)
    | app(Z,Y) != X ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax6) ).

cnf(82,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(85,axiom,
    ( ~ ssList(X)
    | ~ ssItem(Y)
    | cons(Y,X) != X ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax18) ).

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,
    ( ssItem('SKOLEMAAAV52')
    | ~ neq('SKOLEMAAAV51',nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(196,plain,
    ssItem('SKOLEMAAAV52'),
    inference('REWRITE',[status(thm)],[195,194,192,theory(equality)]) ).

cnf(197,negated_conjecture,
    ( ssList('SKOLEMAAAV53')
    | ~ neq('SKOLEMAAAV51',nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(198,plain,
    ssList('SKOLEMAAAV53'),
    inference('REWRITE',[status(thm)],[197,194,192,theory(equality)]) ).

cnf(199,negated_conjecture,
    ( cons('SKOLEMAAAV52',nil) = 'SKOLEMAAAV50'
    | ~ neq('SKOLEMAAAV51',nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(200,plain,
    cons('SKOLEMAAAV52',nil) = 'SKOLEMAAAV48',
    inference('REWRITE',[status(thm)],[199,194,192,193,theory(equality)]) ).

cnf(201,negated_conjecture,
    ( app('SKOLEMAAAV53',cons('SKOLEMAAAV52',nil)) = 'SKOLEMAAAV51'
    | ~ neq('SKOLEMAAAV51',nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(202,plain,
    app('SKOLEMAAAV53','SKOLEMAAAV48') = 'SKOLEMAAAV49',
    inference('REWRITE',[status(thm)],[201,194,192,200,theory(equality)]) ).

cnf(203,negated_conjecture,
    ( ~ neq('SKOLEMAAAV48',nil)
    | ~ rearsegP('SKOLEMAAAV49','SKOLEMAAAV48')
    | ~ neq('SKOLEMAAAV51',nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(204,plain,
    ( ~ neq('SKOLEMAAAV48',nil)
    | ~ rearsegP('SKOLEMAAAV49','SKOLEMAAAV48') ),
    inference('REWRITE',[status(thm)],[203,194,192,theory(equality)]) ).

cnf(386,plain,
    nil != 'SKOLEMAAAV48',
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[85,84,196]),200,theory(equality)]) ).

cnf(431,plain,
    neq('SKOLEMAAAV48',nil),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[82,188,84]),386]) ).

cnf(432,plain,
    ~ rearsegP('SKOLEMAAAV49','SKOLEMAAAV48'),
    inference('REWRITE',[status(thm)],[204,431]) ).

cnf(533,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[18,189,188,432,198,202]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13  % Problem  : SWC106+1 : TPTP v8.1.0. Released v2.4.0.
% 0.09/0.14  % Command  : run-snark %s %d
% 0.15/0.36  % Computer : n024.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 600
% 0.15/0.36  % DateTime : Sun Jun 12 00:45:34 EDT 2022
% 0.15/0.36  % CPUTime  : 
% 0.21/0.49  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.50  * 
% 0.21/0.50  * 
% 0.21/0.51  #<PACKAGE "SNARK-USER">
% 0.21/0.51  * 
% 0.21/0.51  SNARK-TPTP-OPTIONS
% 0.21/0.51  * 
% 0.21/0.51  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.51   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.51   (USE-FACTORING :POS)
% 0.21/0.51   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.51   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.51   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.51   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.51   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.51   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.51   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.51   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.51   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.51   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.51  * 
% 0.21/0.51  "."
% 0.21/0.51  * 
% 0.21/0.51  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T00:45:34
% 0.21/0.51  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-06-12T00:45:34
% 0.46/0.67  
% 0.46/0.67  
% 0.46/0.67  #||
% 0.46/0.67  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.46/0.67  % SZS output start Refutation
% See solution above
% 0.46/0.67  ||#
% 0.46/0.67  
% 0.46/0.67  ; Summary of computation:
% 0.46/0.67  ;       834 formulas have been input or derived (from 147 formulas).
% 0.46/0.67  ;       533 (64%) were retained.  Of these,
% 0.46/0.67  ;           73 (14%) were simplified or subsumed later,
% 0.46/0.67  ;          460 (86%) are still being kept.
% 0.46/0.67  ; 
% 0.46/0.67  ; Run time in seconds excluding printing time:
% 0.46/0.67  ;     0.027  17%   Read assertion file          (1 call)
% 0.46/0.67  ;     0.009   6%   Assert                       (96 calls)
% 0.46/0.67  ;     0.024  15%   Process new row              (814 calls)
% 0.46/0.67  ;     0.038  24%   Resolution                   (292 calls)
% 0.46/0.67  ;     0.001   1%   Paramodulation               (146 calls)
% 0.46/0.67  ;     0.006   4%   Condensing                   (287 calls)
% 0.46/0.67  ;     0.006   4%   Forward subsumption          (287 calls)
% 0.46/0.67  ;     0.004   3%   Backward subsumption         (286 calls)
% 0.46/0.67  ;     0.001   1%   Clause clause subsumption    (75 calls)
% 0.46/0.67  ;     0.012   8%   Forward simplification       (814 calls)
% 0.46/0.67  ;     0.004   3%   Backward simplification      (528 calls)
% 0.46/0.67  ;     0.001   1%   Ordering                     (274 calls)
% 0.46/0.67  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.46/0.67  ;     0.000   0%   Purity testing               (1 call)
% 0.46/0.67  ;     0.024  15%   Other
% 0.46/0.67  ;     0.157        Total
% 0.46/0.67  ;     0.159        Real time
% 0.46/0.67  ; 
% 0.46/0.67  ; Term-hash-array has 840 terms in all.
% 0.46/0.67  ; Feature-vector-row-index has 273 entries (273 at peak, 286 added, 13 deleted).
% 0.46/0.67  ; Feature-vector-row-index has 836 nodes (836 at peak, 869 added, 33 deleted).
% 0.46/0.67  ;  Retrieved 127 possibly forward subsuming rows in 287 calls.
% 0.46/0.67  ;  Retrieved 97 possibly backward subsumed rows in 286 calls.
% 0.46/0.67  ; Path-index has 776 entries (776 at peak, 876 added, 100 deleted).
% 0.46/0.67  ; Path-index has 1,337 nodes (1,348 at peak, 1,393 added, 56 deleted).
% 0.46/0.67  ; Trie-index has 776 entries (776 at peak, 876 added, 100 deleted).
% 0.46/0.67  ; Trie-index has 1,587 nodes (1,587 at peak, 1,715 added, 128 deleted).
% 0.46/0.67  ; Retrieved 365 generalization terms in 1,637 calls.
% 0.46/0.67  ; Retrieved 241 instance terms in 241 calls.
% 0.46/0.67  ; Retrieved 75,704 unifiable terms in 3,463 calls.
% 0.46/0.67  ; 
% 0.46/0.67  ; The agenda of rows to process has 9 entries:
% 0.46/0.67  ;     3 with value 4               4 with value 8                1 with value 18
% 0.46/0.67  ;     1 with value 5
% 0.46/0.67  ; The agenda of input rows to give has 52 entries:
% 0.46/0.67  ;     7 with value 20              8 with value 25               1 with value 32
% 0.46/0.67  ;     9 with value 21              3 with value 26               1 with value 35
% 0.46/0.67  ;     5 with value 22              6 with value 27               3 with value 40
% 0.46/0.67  ;     2 with value 23              1 with value 29               3 with value 44
% 0.46/0.67  ;     3 with value 24
% 0.46/0.67  ; The agenda of rows to give has 262 entries:
% 0.46/0.67  ;     8 with value (4 4)          17 with value (4 8)            3 with value (4 12)
% 0.46/0.67  ;    51 with value (4 5)          80 with value (4 9)           20 with value (4 13)
% 0.46/0.67  ;     6 with value (4 6)          25 with value (4 10)           2 with value (4 15)
% 0.46/0.67  ;    28 with value (4 7)          22 with value (4 11)
% 0.46/0.67  Evaluation took:
% 0.46/0.67    0.16 seconds of real time
% 0.46/0.67    0.144599 seconds of user run time
% 0.46/0.67    0.014872 seconds of system run time
% 0.46/0.67    0 calls to %EVAL
% 0.46/0.67    0 page faults and
% 0.46/0.67    11,006,128 bytes consed.
% 0.46/0.67  :PROOF-FOUND
% 0.46/0.67  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T00:45:34
% 0.46/0.67  :PROOF-FOUND
% 0.46/0.67  * 
%------------------------------------------------------------------------------