TSTP Solution File: SWV411+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV411+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n027.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 : Wed Jul 20 21:33:13 EDT 2022

% Result   : Theorem 0.23s 0.57s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   11 (   6 unt;   2 nHn;   9 RR)
%            Number of literals    :   18 (   5 equ;   8 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   17 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(11,axiom,
    ( ~ contains_slb(insert_slb(X,pair(Y,Z)),U)
    | contains_slb(X,U)
    | Y = U ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV007+2.ax',ax21) ).

cnf(17,axiom,
    ( pair_in_list(insert_slb(X,pair(Y,Z)),U,V)
    | ~ pair_in_list(X,U,V) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV007+2.ax',ax23) ).

cnf(18,axiom,
    ( pair_in_list(insert_slb(X,pair(Y,Z)),U,V)
    | Y != U
    | Z != V ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV007+2.ax',ax23) ).

cnf(26,negated_conjecture,
    ( ~ contains_slb('SKOLEMAAAV1',X)
    | pair_in_list('SKOLEMAAAV1',X,'SKOLEMAAAV2'(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l47_co) ).

cnf(27,negated_conjecture,
    contains_slb(insert_slb('SKOLEMAAAV1',pair('SKOLEMAAAV4','SKOLEMAAAV5')),'SKOLEMAAAV3'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l47_co) ).

cnf(28,negated_conjecture,
    ~ pair_in_list(insert_slb('SKOLEMAAAV1',pair('SKOLEMAAAV4','SKOLEMAAAV5')),'SKOLEMAAAV3',X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l47_co) ).

cnf(35,plain,
    ~ pair_in_list('SKOLEMAAAV1','SKOLEMAAAV3',X),
    inference('UR-RESOLVE',[status(thm)],[17,28]) ).

cnf(36,plain,
    ( contains_slb('SKOLEMAAAV1','SKOLEMAAAV3')
    | 'SKOLEMAAAV4' = 'SKOLEMAAAV3' ),
    inference('HYPERRESOLVE',[status(thm)],[11,27]) ).

cnf(37,plain,
    'SKOLEMAAAV4' != 'SKOLEMAAAV3',
    inference('UR-RESOLVE',[status(thm)],[18,28,theory(equality)]) ).

cnf(38,plain,
    contains_slb('SKOLEMAAAV1','SKOLEMAAAV3'),
    inference('REWRITE',[status(thm)],[36,37]) ).

cnf(56,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[26,38]),35]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : SWV411+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.15  % Command  : run-snark %s %d
% 0.15/0.37  % Computer : n027.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.37  % WCLimit  : 600
% 0.15/0.37  % DateTime : Wed Jun 15 23:35:05 EDT 2022
% 0.15/0.37  % CPUTime  : 
% 0.23/0.50  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.51  * 
% 0.23/0.51  * 
% 0.23/0.52  #<PACKAGE "SNARK-USER">
% 0.23/0.52  * 
% 0.23/0.52  SNARK-TPTP-OPTIONS
% 0.23/0.52  * 
% 0.23/0.52  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.23/0.52   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.23/0.52   (USE-FACTORING :POS)
% 0.23/0.52   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.23/0.52   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.23/0.52   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.23/0.52   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.23/0.52   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.23/0.52   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.23/0.52   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.23/0.52   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.23/0.52   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.23/0.52   (DECLARE-TPTP-SYMBOLS2))
% 0.23/0.52  * 
% 0.23/0.52  "."
% 0.23/0.52  * 
% 0.23/0.52  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T23:35:05
% 0.23/0.52  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-15T23:35:05
% 0.23/0.57  
% 0.23/0.57  
% 0.23/0.57  #||
% 0.23/0.57  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.57  % SZS output start Refutation
% See solution above
% 0.23/0.57  ||#
% 0.23/0.57  
% 0.23/0.57  ; Summary of computation:
% 0.23/0.57  ;       290 formulas have been input or derived (from 33 formulas).
% 0.23/0.57  ;        56 (19%) were retained.  Of these,
% 0.23/0.57  ;            2 ( 4%) were simplified or subsumed later,
% 0.23/0.57  ;           54 (96%) are still being kept.
% 0.23/0.57  ; 
% 0.23/0.57  ; Run time in seconds excluding printing time:
% 0.23/0.57  ;     0.006  12%   Read assertion file          (1 call)
% 0.23/0.57  ;     0.001   2%   Assert                       (19 calls)
% 0.23/0.57  ;     0.004   8%   Process new row              (262 calls)
% 0.23/0.57  ;     0.004   8%   Resolution                   (64 calls)
% 0.23/0.57  ;     0.000   0%   Paramodulation               (32 calls)
% 0.23/0.57  ;     0.000   0%   Factoring                    (1 call)
% 0.23/0.57  ;     0.002   4%   Condensing                   (30 calls)
% 0.23/0.57  ;     0.001   2%   Forward subsumption          (30 calls)
% 0.23/0.57  ;     0.000   0%   Backward subsumption         (23 calls)
% 0.23/0.57  ;     0.000   0%   Clause clause subsumption    (11 calls)
% 0.23/0.57  ;     0.006  12%   Forward simplification       (259 calls)
% 0.23/0.57  ;     0.000   0%   Backward simplification      (56 calls)
% 0.23/0.57  ;     0.001   2%   Ordering                     (63 calls)
% 0.23/0.57  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.23/0.57  ;     0.000   0%   Purity testing               (1 call)
% 0.23/0.57  ;     0.026  51%   Other
% 0.23/0.57  ;     0.051        Total
% 0.23/0.57  ;     0.053        Real time
% 0.23/0.57  ; 
% 0.23/0.57  ; Term-hash-array has 110 terms in all.
% 0.23/0.57  ; Feature-vector-row-index has 21 entries (21 at peak, 23 added, 2 deleted).
% 0.23/0.57  ; Feature-vector-row-index has 131 nodes (131 at peak, 140 added, 9 deleted).
% 0.23/0.57  ;  Retrieved 12 possibly forward subsuming rows in 30 calls.
% 0.23/0.57  ;  Retrieved 2 possibly backward subsumed rows in 23 calls.
% 0.23/0.57  ; Path-index has 116 entries (116 at peak, 117 added, 1 deleted).
% 0.23/0.57  ; Path-index has 331 nodes (331 at peak, 331 added, 0 deleted).
% 0.23/0.57  ; Trie-index has 116 entries (116 at peak, 117 added, 1 deleted).
% 0.23/0.57  ; Trie-index has 370 nodes (370 at peak, 371 added, 1 deleted).
% 0.23/0.57  ; Retrieved 752 generalization terms in 804 calls.
% 0.23/0.57  ; Retrieved 44 instance terms in 32 calls.
% 0.23/0.57  ; Retrieved 821 unifiable terms in 223 calls.
% 0.23/0.57  ; 
% 0.23/0.57  ; The agenda of rows to process has 5 entries:
% 0.23/0.57  ;     1 with value 12              2 with value 21               1 with value 25
% 0.23/0.57  ;     1 with value 17
% 0.23/0.57  ; The agenda of rows to give has 22 entries:
% 0.23/0.57  ;     1 with value (4 6)           1 with value (4 16)           1 with value (4 26)
% 0.23/0.57  ;     1 with value (4 9)           3 with value (4 18)           1 with value (4 29)
% 0.23/0.57  ;     1 with value (4 11)          2 with value (4 20)           1 with value (4 30)
% 0.23/0.57  ;     3 with value (4 12)          1 with value (4 24)           1 with value (4 33)
% 0.23/0.57  ;     5 with value (4 13)
% 0.23/0.57  Evaluation took:
% 0.23/0.57    0.054 seconds of real time
% 0.23/0.57    0.048782 seconds of user run time
% 0.23/0.57    0.004598 seconds of system run time
% 0.23/0.57    0 calls to %EVAL
% 0.23/0.57    0 page faults and
% 0.23/0.57    3,124,248 bytes consed.
% 0.23/0.57  :PROOF-FOUND
% 0.23/0.57  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T23:35:05
% 0.23/0.57  :PROOF-FOUND
% 0.23/0.57  * 
%------------------------------------------------------------------------------