TSTP Solution File: ALG040+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : ALG040+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n018.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 : Thu Jul 14 17:59:43 EDT 2022

% Result   : Theorem 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   15 (   8 unt;   0 nHn;  15 RR)
%            Number of literals    :   23 (   7 equ;  10 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   1 con; 0-2 aty)
%            Number of variables   :    8 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(3,axiom,
    sorti1('SKOLEMAAAV1'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).

cnf(4,axiom,
    ( ~ sorti1(X)
    | op1(X,X) = 'SKOLEMAAAV1' ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).

cnf(5,axiom,
    ( ~ sorti2(X)
    | sorti2('SKOLEMAAAV2'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).

cnf(6,axiom,
    ( ~ sorti2(X)
    | op2('SKOLEMAAAV2'(X),'SKOLEMAAAV2'(X)) != X ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).

cnf(7,negated_conjecture,
    ( ~ sorti1(X)
    | sorti2(h(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(8,negated_conjecture,
    ( ~ sorti2(X)
    | sorti1(j(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(9,negated_conjecture,
    ( ~ sorti1(X)
    | ~ sorti1(Y)
    | h(op1(X,Y)) = op2(h(X),h(Y)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(11,negated_conjecture,
    ( ~ sorti2(X)
    | h(j(X)) = X ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(13,plain,
    sorti2(h('SKOLEMAAAV1')),
    inference('HYPERRESOLVE',[status(thm)],[7,3]) ).

cnf(17,plain,
    sorti2('SKOLEMAAAV2'(h('SKOLEMAAAV1'))),
    inference('HYPERRESOLVE',[status(thm)],[5,13]) ).

cnf(18,plain,
    op2('SKOLEMAAAV2'(h('SKOLEMAAAV1')),'SKOLEMAAAV2'(h('SKOLEMAAAV1'))) != h('SKOLEMAAAV1'),
    inference('UR-RESOLVE',[status(thm)],[6,13]) ).

cnf(19,plain,
    sorti1(j('SKOLEMAAAV2'(h('SKOLEMAAAV1')))),
    inference('HYPERRESOLVE',[status(thm)],[8,17]) ).

cnf(24,plain,
    h(j('SKOLEMAAAV2'(h('SKOLEMAAAV1')))) = 'SKOLEMAAAV2'(h('SKOLEMAAAV1')),
    inference('HYPERRESOLVE',[status(thm)],[11,17]) ).

cnf(32,plain,
    op1(j('SKOLEMAAAV2'(h('SKOLEMAAAV1'))),j('SKOLEMAAAV2'(h('SKOLEMAAAV1')))) = 'SKOLEMAAAV1',
    inference('HYPERRESOLVE',[status(thm)],[4,19]) ).

cnf(40,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[9,19,19]),18,24,32,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : ALG040+1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n018.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 : Wed Jun  8 01:44:54 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46  * 
% 0.20/0.46  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 0.20/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47   (USE-FACTORING :POS)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47  * 
% 0.20/0.47  "."
% 0.20/0.47  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-08T01:44:54
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-08T01:44:54
% 0.20/0.51  
% 0.20/0.51  
% 0.20/0.51  #||
% 0.20/0.51  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.51  % SZS output start Refutation
% See solution above
% 0.20/0.51  ||#
% 0.20/0.51  
% 0.20/0.51  ; Summary of computation:
% 0.20/0.51  ;        91 formulas have been input or derived (from 19 formulas).
% 0.20/0.51  ;        40 (44%) were retained.  Of these,
% 0.20/0.51  ;            6 (15%) were simplified or subsumed later,
% 0.20/0.51  ;           34 (85%) are still being kept.
% 0.20/0.51  ; 
% 0.20/0.51  ; Run time in seconds excluding printing time:
% 0.20/0.51  ;     0.002   6%   Read assertion file          (1 call)
% 0.20/0.51  ;     0.001   3%   Assert                       (5 calls)
% 0.20/0.51  ;     0.002   6%   Process new row              (63 calls)
% 0.20/0.51  ;     0.001   3%   Resolution                   (36 calls)
% 0.20/0.51  ;     0.001   3%   Paramodulation               (18 calls)
% 0.20/0.51  ;     0.000   0%   Condensing                   (11 calls)
% 0.20/0.51  ;     0.000   0%   Forward subsumption          (11 calls)
% 0.20/0.51  ;     0.000   0%   Backward subsumption         (11 calls)
% 0.20/0.51  ;     0.003   9%   Forward simplification       (63 calls)
% 0.20/0.51  ;     0.001   3%   Backward simplification      (40 calls)
% 0.20/0.51  ;     0.000   0%   Ordering                     (38 calls)
% 0.20/0.51  ;     0.001   3%   Sortal reasoning             (32 calls)
% 0.20/0.51  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.51  ;     0.022  65%   Other
% 0.20/0.51  ;     0.034        Total
% 0.20/0.51  ;     0.036        Real time
% 0.20/0.51  ; 
% 0.20/0.51  ; Term-hash-array has 80 terms in all.
% 0.20/0.51  ; Feature-vector-row-index has 11 entries (11 at peak, 11 added, 0 deleted).
% 0.20/0.51  ; Feature-vector-row-index has 46 nodes (46 at peak, 46 added, 0 deleted).
% 0.20/0.51  ;  Retrieved 0 possibly forward subsuming rows in 11 calls.
% 0.20/0.51  ;  Retrieved 0 possibly backward subsumed rows in 11 calls.
% 0.20/0.51  ; Path-index has 73 entries (73 at peak, 82 added, 9 deleted).
% 0.20/0.51  ; Path-index has 267 nodes (267 at peak, 273 added, 6 deleted).
% 0.20/0.51  ; Trie-index has 73 entries (73 at peak, 82 added, 9 deleted).
% 0.20/0.51  ; Trie-index has 293 nodes (293 at peak, 345 added, 52 deleted).
% 0.20/0.51  ; Retrieved 40 generalization terms in 188 calls.
% 0.20/0.51  ; Retrieved 28 instance terms in 28 calls.
% 0.20/0.51  ; Retrieved 349 unifiable terms in 160 calls.
% 0.20/0.51  ; 
% 0.20/0.51  ; The agenda of rows to give has 15 entries:
% 0.20/0.51  ;     1 with value (4 12)          3 with value (4 17)           1 with value (4 21)
% 0.20/0.51  ;     1 with value (4 15)          1 with value (4 18)           2 with value (4 24)
% 0.20/0.51  ;     3 with value (4 16)          1 with value (4 20)           2 with value (4 25)
% 0.20/0.51  Evaluation took:
% 0.20/0.51    0.036 seconds of real time
% 0.20/0.51    0.033201 seconds of user run time
% 0.20/0.51    0.003111 seconds of system run time
% 0.20/0.51    0 calls to %EVAL
% 0.20/0.51    0 page faults and
% 0.20/0.51    2,595,240 bytes consed.
% 0.20/0.51  :PROOF-FOUND
% 0.20/0.51  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-08T01:44:54
% 0.20/0.51  :PROOF-FOUND
% 0.20/0.51  * 
%------------------------------------------------------------------------------