TSTP Solution File: LCL117-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL117-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n015.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 14:20:21 EDT 2022

% Result   : Unsatisfiable 0.21s 0.52s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    6 (   5 unt;   0 nHn;   3 RR)
%            Number of literals    :    8 (   0 equ;   3 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   11 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
    ( ~ is_a_theorem(equivalent(X,Y))
    | ~ is_a_theorem(X)
    | is_a_theorem(Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).

cnf(yqm,axiom,
    is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(Z,Y),equivalent(Z,X)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',yqm) ).

cnf(prove_qyf,negated_conjecture,
    ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(a,c)),equivalent(c,b))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_qyf) ).

cnf(4,plain,
    is_a_theorem(equivalent(equivalent(X,equivalent(equivalent(Y,Z),equivalent(Y,U))),equivalent(X,equivalent(U,Z)))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,yqm,yqm]) ).

cnf(6,plain,
    is_a_theorem(equivalent(equivalent(X,Y),equivalent(X,Y))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,4,yqm]) ).

cnf(11,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[condensed_detachment,6,4,prove_qyf]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : LCL117-1 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.14  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n015.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Mon Jul  4 23:37:32 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.21/0.47  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.48  * 
% 0.21/0.48  * 
% 0.21/0.49  #<PACKAGE "SNARK-USER">
% 0.21/0.49  * 
% 0.21/0.49  SNARK-TPTP-OPTIONS
% 0.21/0.49  * 
% 0.21/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49   (USE-FACTORING :POS)
% 0.21/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49  * 
% 0.21/0.49  "."
% 0.21/0.49  * 
% 0.21/0.49  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T23:37:32
% 0.21/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-07-04T23:37:32
% 0.21/0.52  
% 0.21/0.52  
% 0.21/0.52  #||
% 0.21/0.52  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.52  % SZS output start Refutation
% See solution above
% 0.21/0.52  ||#
% 0.21/0.52  
% 0.21/0.52  ; Summary of computation:
% 0.21/0.52  ;        33 formulas have been input or derived (from 6 formulas).
% 0.21/0.52  ;        11 (33%) were retained.  Of these,
% 0.21/0.52  ;           11 (100%) are still being kept.
% 0.21/0.52  ; 
% 0.21/0.52  ; Run time in seconds excluding printing time:
% 0.21/0.52  ;     0.001   4%   Read assertion file          (1 call)
% 0.21/0.52  ;     0.000   0%   Assert                       (3 calls)
% 0.21/0.52  ;     0.003  11%   Process new row              (17 calls)
% 0.21/0.52  ;     0.001   4%   Resolution                   (10 calls)
% 0.21/0.52  ;     0.000   0%   Paramodulation               (5 calls)
% 0.21/0.52  ;     0.000   0%   Condensing                   (1 call)
% 0.21/0.52  ;     0.000   0%   Forward subsumption          (1 call)
% 0.21/0.52  ;     0.000   0%   Backward subsumption         (1 call)
% 0.21/0.52  ;     0.000   0%   Forward simplification       (17 calls)
% 0.21/0.52  ;     0.000   0%   Backward simplification      (11 calls)
% 0.21/0.52  ;     0.001   4%   Sortal reasoning             (32 calls)
% 0.21/0.52  ;     0.000   0%   Purity testing               (1 call)
% 0.21/0.52  ;     0.021  78%   Other
% 0.21/0.52  ;     0.027        Total
% 0.21/0.52  ;     0.028        Real time
% 0.21/0.52  ; 
% 0.21/0.52  ; Term-hash-array has 49 terms in all.
% 0.21/0.52  ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 0.21/0.52  ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 0.21/0.52  ;  Retrieved 0 possibly forward subsuming rows in 1 call.
% 0.21/0.52  ;  Retrieved 0 possibly backward subsumed rows in 1 call.
% 0.21/0.52  ; Path-index has 52 entries (52 at peak, 52 added, 0 deleted).
% 0.21/0.52  ; Path-index has 201 nodes (201 at peak, 201 added, 0 deleted).
% 0.21/0.52  ; Trie-index has 52 entries (52 at peak, 52 added, 0 deleted).
% 0.21/0.52  ; Trie-index has 244 nodes (244 at peak, 244 added, 0 deleted).
% 0.21/0.52  ; Retrieved 14 generalization terms in 15 calls.
% 0.21/0.52  ; Retrieved 14 instance terms in 9 calls.
% 0.21/0.52  ; Retrieved 166 unifiable terms in 70 calls.
% 0.21/0.52  ; 
% 0.21/0.52  ; The agenda of rows to process has 13 entries:
% 0.21/0.52  ;     4 with value 14              1 with value 24               1 with value 28
% 0.21/0.52  ;     7 with value 19
% 0.21/0.52  ; The agenda of rows to give has 5 entries:
% 0.21/0.52  ;     1 with value (4 22)          1 with value (4 28)           1 with value (4 36)
% 0.21/0.52  ;     1 with value (4 23)          1 with value (4 30)
% 0.21/0.52  Evaluation took:
% 0.21/0.52    0.029 seconds of real time
% 0.21/0.52    0.023374 seconds of user run time
% 0.21/0.52    0.005773 seconds of system run time
% 0.21/0.52    0 calls to %EVAL
% 0.21/0.52    0 page faults and
% 0.21/0.52    1,752,016 bytes consed.
% 0.21/0.52  :PROOF-FOUND
% 0.21/0.52  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T23:37:32
% 0.21/0.52  :PROOF-FOUND
% 0.21/0.52  * 
%------------------------------------------------------------------------------