TSTP Solution File: LCL452+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL452+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : Sun Jul 17 14:23:04 EDT 2022

% Result   : Theorem 0.19s 0.53s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   16 (  12 unt;   0 nHn;   8 RR)
%            Number of literals    :   20 (   4 equ;   7 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    7 (   5 usr;   5 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :   16 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(22,axiom,
    ( ~ or_1
    | is_a_theorem(implies(X,or(X,Y))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax',or_1) ).

cnf(43,axiom,
    ( cn2
    | ~ is_a_theorem(implies('SKOLEMAAAV42',implies(not('SKOLEMAAAV42'),'SKOLEMAAAV43'))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax',cn2) ).

cnf(56,axiom,
    ( ~ op_or
    | or(X,Y) = not(and(not(X),not(Y))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL006+1.ax',op_or) ).

cnf(57,axiom,
    ( ~ op_implies_and
    | implies(X,Y) = not(and(X,not(Y))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL006+1.ax',op_implies_and) ).

cnf(59,axiom,
    op_or,
    file('/export/starexec/sandbox/benchmark/Axioms/LCL006+2.ax',hilbert_op_or) ).

cnf(60,axiom,
    op_implies_and,
    file('/export/starexec/sandbox/benchmark/Axioms/LCL006+2.ax',hilbert_op_implies_and) ).

cnf(70,axiom,
    or_1,
    file('/export/starexec/sandbox/benchmark/Axioms/LCL006+2.ax',hilbert_or_1) ).

cnf(77,negated_conjecture,
    ~ cn2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',luka_cn2) ).

cnf(78,plain,
    ~ is_a_theorem(implies('SKOLEMAAAV42',implies(not('SKOLEMAAAV42'),'SKOLEMAAAV43'))),
    inference('REWRITE',[status(thm)],[43,77]) ).

cnf(86,plain,
    is_a_theorem(implies(X,or(X,Y))),
    inference('REWRITE',[status(thm)],[22,70]) ).

cnf(98,plain,
    implies(X,Y) = not(and(X,not(Y))),
    inference('REWRITE',[status(thm)],[57,60]) ).

cnf(104,plain,
    is_a_theorem(not(and(X,not(or(X,Y))))),
    inference('REWRITE',[status(thm)],[86,98,theory(equality)]) ).

cnf(126,plain,
    ~ is_a_theorem(not(and('SKOLEMAAAV42',not(not(and(not('SKOLEMAAAV42'),not('SKOLEMAAAV43'))))))),
    inference('REWRITE',[status(thm)],[78,98,theory(equality)]) ).

cnf(130,plain,
    or(X,Y) = not(and(not(X),not(Y))),
    inference('REWRITE',[status(thm)],[56,59]) ).

cnf(133,plain,
    is_a_theorem(not(and(X,not(not(and(not(X),not(Y))))))),
    inference('REWRITE',[status(thm)],[104,130,theory(equality)]) ).

cnf(134,plain,
    $false,
    inference('REWRITE',[status(thm)],[126,133]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : LCL452+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n020.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon Jul  4 23:41:14 EDT 2022
% 0.12/0.34  % 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 2022-07-04T23:41:14
% 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 2022-07-04T23:41:14
% 0.19/0.49  WARNING:
% 0.19/0.49     #:|op_implies_or| is a proposition that occurs only negatively; disabling rows that contain it.
% 0.19/0.49  WARNING:
% 0.19/0.49     #:|op_and| is a proposition that occurs only negatively; disabling rows that contain it.
% 0.19/0.49  WARNING:
% 0.19/0.49     #:|op_implies| is a proposition that occurs only positively; disabling rows that contain it.
% 0.19/0.53  
% 0.19/0.53  
% 0.19/0.53  #||
% 0.19/0.53  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.53  % SZS output start Refutation
% See solution above
% 0.19/0.53  ||#
% 0.19/0.53  
% 0.19/0.53  ; Summary of computation:
% 0.19/0.53  ;       150 formulas have been input or derived (from 1 formulas).
% 0.19/0.53  ;       134 (89%) were retained.  Of these,
% 0.19/0.53  ;           90 (67%) were simplified or subsumed later,
% 0.19/0.53  ;           44 (33%) are still being kept.
% 0.19/0.53  ; 
% 0.19/0.53  ; Run time in seconds excluding printing time:
% 0.19/0.53  ;     0.008  13%   Read assertion file          (1 call)
% 0.19/0.53  ;     0.003   5%   Assert                       (53 calls)
% 0.19/0.53  ;     0.013  21%   Process new row              (143 calls)
% 0.19/0.53  ;     0.000   0%   Condensing                   (78 calls)
% 0.19/0.53  ;     0.005   8%   Forward subsumption          (78 calls)
% 0.19/0.53  ;     0.000   0%   Backward subsumption         (78 calls)
% 0.19/0.53  ;     0.001   2%   Forward simplification       (140 calls)
% 0.19/0.53  ;     0.007  11%   Backward simplification      (134 calls)
% 0.19/0.53  ;     0.001   2%   Ordering                     (4 calls)
% 0.19/0.53  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.53  ;     0.001   2%   Purity testing               (1 call)
% 0.19/0.53  ;     0.024  38%   Other
% 0.19/0.53  ;     0.063        Total
% 0.19/0.53  ;     0.065        Real time
% 0.19/0.53  ; 
% 0.19/0.53  ; Term-hash-array has 377 terms in all.
% 0.19/0.53  ; Feature-vector-row-index has 10 entries (58 at peak, 78 added, 68 deleted).
% 0.19/0.53  ; Feature-vector-row-index has 96 nodes (391 at peak, 575 added, 479 deleted).
% 0.19/0.53  ;  Retrieved 12 possibly forward subsuming rows in 78 calls.
% 0.19/0.53  ;  Retrieved 10 possibly backward subsumed rows in 78 calls.
% 0.19/0.53  ; Path-index has 155 entries (286 at peak, 573 added, 418 deleted).
% 0.19/0.53  ; Path-index has 688 nodes (849 at peak, 1,461 added, 773 deleted).
% 0.19/0.53  ; Trie-index has 155 entries (286 at peak, 573 added, 418 deleted).
% 0.19/0.53  ; Trie-index has 556 nodes (805 at peak, 1,782 added, 1,226 deleted).
% 0.19/0.53  ; Retrieved 61 generalization terms in 183 calls.
% 0.19/0.53  ; Retrieved 136 instance terms in 55 calls.
% 0.19/0.53  ; 
% 0.19/0.53  ; The agenda of backward simplifiable rows to process has 7 entries:
% 0.19/0.53  ;     7 with value 0
% 0.19/0.53  ; The agenda of input rows to give has 43 entries:
% 0.19/0.53  ;    22 with value 1               1 with value 17               1 with value 27
% 0.19/0.53  ;     2 with value 12              4 with value 18               2 with value 30
% 0.19/0.53  ;     1 with value 13              2 with value 20               1 with value 32
% 0.19/0.53  ;     3 with value 14              1 with value 21               1 with value 35
% 0.19/0.53  ;     1 with value 16              1 with value 23
% 0.19/0.53  Evaluation took:
% 0.19/0.53    0.066 seconds of real time
% 0.19/0.53    0.055074 seconds of user run time
% 0.19/0.53    0.010149 seconds of system run time
% 0.19/0.53    0 calls to %EVAL
% 0.19/0.53    0 page faults and
% 0.19/0.53    4,647,376 bytes consed.
% 0.19/0.53  :PROOF-FOUND
% 0.19/0.53  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T23:41:15
% 0.19/0.53  :PROOF-FOUND
% 0.19/0.53  * 
%------------------------------------------------------------------------------