TSTP Solution File: ALG202+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : ALG202+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n020.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 18:00:10 EDT 2022

% Result   : Theorem 0.19s 0.49s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   10 (   6 unt;   0 nHn;  10 RR)
%            Number of literals    :   15 (   6 equ;   6 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   1 con; 0-2 aty)
%            Number of variables   :    5 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(3,axiom,
    ( ~ sorti1(X)
    | op1(X,X) = X ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).

cnf(4,axiom,
    sorti2('SKOLEMAAAO1'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).

cnf(5,axiom,
    op2('SKOLEMAAAO1','SKOLEMAAAO1') != 'SKOLEMAAAO1',
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).

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

cnf(8,negated_conjecture,
    ( ~ sorti1(X)
    | ~ sorti1(Y)
    | h(op1(X,Y)) = op2(h(X),h(Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(10,negated_conjecture,
    ( ~ sorti2(X)
    | h(j(X)) = X ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(12,plain,
    sorti1(j('SKOLEMAAAO1')),
    inference('HYPERRESOLVE',[status(thm)],[7,4]) ).

cnf(13,plain,
    h(j('SKOLEMAAAO1')) = 'SKOLEMAAAO1',
    inference('HYPERRESOLVE',[status(thm)],[10,4]) ).

cnf(17,plain,
    op1(j('SKOLEMAAAO1'),j('SKOLEMAAAO1')) = j('SKOLEMAAAO1'),
    inference('HYPERRESOLVE',[status(thm)],[3,12]) ).

cnf(19,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[8,12,12]),5,13,17,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : ALG202+1 : TPTP v8.1.0. Released v2.7.0.
% 0.13/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n020.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 10:55:21 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  /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 2022-06-08T10:55:21
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-08T10:55:21
% 0.19/0.49  
% 0.19/0.49  
% 0.19/0.49  #||
% 0.19/0.49  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.49  % SZS output start Refutation
% See solution above
% 0.19/0.49  ||#
% 0.19/0.49  
% 0.19/0.49  ; Summary of computation:
% 0.19/0.49  ;        35 formulas have been input or derived (from 13 formulas).
% 0.19/0.49  ;        19 (54%) were retained.  Of these,
% 0.19/0.49  ;            2 (11%) were simplified or subsumed later,
% 0.19/0.49  ;           17 (89%) are still being kept.
% 0.19/0.49  ; 
% 0.19/0.49  ; Run time in seconds excluding printing time:
% 0.19/0.49  ;     0.001   6%   Read assertion file          (1 call)
% 0.19/0.49  ;     0.001   6%   Assert                       (5 calls)
% 0.19/0.49  ;     0.001   6%   Process new row              (24 calls)
% 0.19/0.49  ;     0.001   6%   Resolution                   (24 calls)
% 0.19/0.49  ;     0.000   0%   Paramodulation               (12 calls)
% 0.19/0.49  ;     0.000   0%   Condensing                   (9 calls)
% 0.19/0.49  ;     0.000   0%   Forward subsumption          (9 calls)
% 0.19/0.49  ;     0.000   0%   Backward subsumption         (9 calls)
% 0.19/0.49  ;     0.000   0%   Forward simplification       (24 calls)
% 0.19/0.49  ;     0.000   0%   Backward simplification      (19 calls)
% 0.19/0.49  ;     0.000   0%   Ordering                     (9 calls)
% 0.19/0.49  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.49  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.49  ;     0.014  78%   Other
% 0.19/0.49  ;     0.018        Total
% 0.19/0.49  ;     0.018        Real time
% 0.19/0.49  ; 
% 0.19/0.49  ; Term-hash-array has 40 terms in all.
% 0.19/0.49  ; Feature-vector-row-index has 9 entries (9 at peak, 9 added, 0 deleted).
% 0.19/0.49  ; Feature-vector-row-index has 38 nodes (38 at peak, 38 added, 0 deleted).
% 0.19/0.49  ;  Retrieved 0 possibly forward subsuming rows in 9 calls.
% 0.19/0.49  ;  Retrieved 0 possibly backward subsumed rows in 9 calls.
% 0.19/0.49  ; Path-index has 39 entries (40 at peak, 42 added, 3 deleted).
% 0.19/0.49  ; Path-index has 113 nodes (115 at peak, 119 added, 6 deleted).
% 0.19/0.49  ; Trie-index has 39 entries (40 at peak, 42 added, 3 deleted).
% 0.19/0.49  ; Trie-index has 102 nodes (109 at peak, 115 added, 13 deleted).
% 0.19/0.49  ; Retrieved 10 generalization terms in 42 calls.
% 0.19/0.49  ; Retrieved 9 instance terms in 9 calls.
% 0.19/0.49  ; Retrieved 152 unifiable terms in 76 calls.
% 0.19/0.49  ; 
% 0.19/0.49  ; The agenda of rows to give has 4 entries:
% 0.19/0.49  ;     1 with value (4 7)           1 with value (4 11)           1 with value (4 13)
% 0.19/0.49  ;     1 with value (4 9)
% 0.19/0.49  Evaluation took:
% 0.19/0.49    0.019 seconds of real time
% 0.19/0.49    0.01171 seconds of user run time
% 0.19/0.49    0.007335 seconds of system run time
% 0.19/0.49    0 calls to %EVAL
% 0.19/0.49    0 page faults and
% 0.19/0.49    1,935,896 bytes consed.
% 0.19/0.49  :PROOF-FOUND
% 0.19/0.49  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-08T10:55:21
% 0.19/0.49  :PROOF-FOUND
% 0.19/0.49  * 
%------------------------------------------------------------------------------