TSTP Solution File: LCL439-2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL439-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n025.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 14:22:55 EDT 2022

% Result   : Unsatisfiable 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   11 (   7 unt;   0 nHn;   6 RR)
%            Number of literals    :   16 (   0 equ;   7 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-3 aty)
%            Number of variables   :   22 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_PropLog_Odeduction_0,axiom,
    ( ~ c_in(X,c_PropLog_Othms(c_insert(Y,Z,tc_PropLog_Opl(U)),U),tc_PropLog_Opl(U))
    | c_in(c_PropLog_Opl_Oop_A_N_62(Y,X,U),c_PropLog_Othms(Z,U),tc_PropLog_Opl(U)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Odeduction_0) ).

cnf(cls_PropLog_Othms_OH_0,axiom,
    ( ~ c_in(X,Y,tc_PropLog_Opl(Z))
    | c_in(X,c_PropLog_Othms(Y,Z),tc_PropLog_Opl(Z)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms_OH_0) ).

cnf(cls_PropLog_Othms__notE_0,axiom,
    ( ~ c_in(X,c_PropLog_Othms(Y,Z),tc_PropLog_Opl(Z))
    | ~ c_in(c_PropLog_Opl_Oop_A_N_62(X,c_PropLog_Opl_Ofalse,Z),c_PropLog_Othms(Y,Z),tc_PropLog_Opl(Z))
    | c_in(U,c_PropLog_Othms(Y,Z),tc_PropLog_Opl(Z)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms__notE_0) ).

cnf(cls_PropLog_Oweaken__left__insert_0,axiom,
    ( ~ c_in(X,c_PropLog_Othms(Y,Z),tc_PropLog_Opl(Z))
    | c_in(X,c_PropLog_Othms(c_insert(U,Y,tc_PropLog_Opl(Z)),Z),tc_PropLog_Opl(Z)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Oweaken__left__insert_0) ).

cnf(cls_Set_OinsertCI_1,axiom,
    c_in(X,c_insert(X,Y,Z),Z),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_in(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(10,plain,
    c_in(X,c_PropLog_Othms(c_insert(X,Y,tc_PropLog_Opl(Z)),Z),tc_PropLog_Opl(Z)),
    inference('HYPERRESOLVE',[status(thm)],[cls_PropLog_Othms_OH_0,cls_Set_OinsertCI_1]) ).

cnf(11,plain,
    c_in(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_insert(X,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
    inference('HYPERRESOLVE',[status(thm)],[cls_PropLog_Oweaken__left__insert_0,cls_conjecture_0]) ).

cnf(12,plain,
    ~ c_in(v_q,c_PropLog_Othms(c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
    inference('UR-RESOLVE',[status(thm)],[cls_PropLog_Odeduction_0,cls_conjecture_1]) ).

cnf(30,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_PropLog_Othms__notE_0,12,10]),11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LCL439-2 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n025.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 : Sat Jul  2 20:17:25 EDT 2022
% 0.19/0.34  % 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 2022-07-02T20:17:25
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-07-02T20:17:25
% 0.19/0.50  
% 0.19/0.50  
% 0.19/0.50  #||
% 0.19/0.50  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.50  % SZS output start Refutation
% See solution above
% 0.19/0.50  ||#
% 0.19/0.50  
% 0.19/0.50  ; Summary of computation:
% 0.19/0.50  ;        54 formulas have been input or derived (from 17 formulas).
% 0.19/0.50  ;        30 (56%) were retained.  Of these,
% 0.19/0.50  ;           30 (100%) are still being kept.
% 0.19/0.50  ; 
% 0.19/0.50  ; Run time in seconds excluding printing time:
% 0.19/0.50  ;     0.002   6%   Read assertion file          (1 call)
% 0.19/0.50  ;     0.000   0%   Assert                       (7 calls)
% 0.19/0.50  ;     0.004  12%   Process new row              (42 calls)
% 0.19/0.50  ;     0.002   6%   Resolution                   (32 calls)
% 0.19/0.50  ;     0.000   0%   Paramodulation               (16 calls)
% 0.19/0.50  ;     0.000   0%   Condensing                   (4 calls)
% 0.19/0.50  ;     0.001   3%   Forward subsumption          (4 calls)
% 0.19/0.50  ;     0.000   0%   Backward subsumption         (4 calls)
% 0.19/0.50  ;     0.000   0%   Clause clause subsumption    (3 calls)
% 0.19/0.50  ;     0.000   0%   Forward simplification       (42 calls)
% 0.19/0.50  ;     0.000   0%   Backward simplification      (30 calls)
% 0.19/0.50  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.50  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.50  ;     0.023  72%   Other
% 0.19/0.50  ;     0.032        Total
% 0.19/0.50  ;     0.035        Real time
% 0.19/0.50  ; 
% 0.19/0.50  ; Term-hash-array has 75 terms in all.
% 0.19/0.50  ; Feature-vector-row-index has 4 entries (4 at peak, 4 added, 0 deleted).
% 0.19/0.50  ; Feature-vector-row-index has 33 nodes (33 at peak, 33 added, 0 deleted).
% 0.19/0.50  ;  Retrieved 2 possibly forward subsuming rows in 4 calls.
% 0.19/0.50  ;  Retrieved 1 possibly backward subsumed row in 4 calls.
% 0.19/0.50  ; Path-index has 80 entries (80 at peak, 80 added, 0 deleted).
% 0.19/0.50  ; Path-index has 256 nodes (256 at peak, 256 added, 0 deleted).
% 0.19/0.50  ; Trie-index has 80 entries (80 at peak, 80 added, 0 deleted).
% 0.19/0.50  ; Trie-index has 349 nodes (349 at peak, 349 added, 0 deleted).
% 0.19/0.50  ; Retrieved 23 generalization terms in 37 calls.
% 0.19/0.50  ; Retrieved 37 instance terms in 25 calls.
% 0.19/0.50  ; Retrieved 384 unifiable terms in 168 calls.
% 0.19/0.50  ; 
% 0.19/0.50  ; The agenda of rows to process has 1 entry:
% 0.19/0.50  ;     1 with value 24
% 0.19/0.50  ; The agenda of rows to give has 13 entries:
% 0.19/0.50  ;     1 with value (4 11)          2 with value (4 18)           2 with value (4 22)
% 0.19/0.50  ;     1 with value (4 14)          3 with value (4 19)           1 with value (4 25)
% 0.19/0.50  ;     1 with value (4 17)          2 with value (4 20)
% 0.19/0.50  Evaluation took:
% 0.19/0.50    0.035 seconds of real time
% 0.19/0.50    0.03168 seconds of user run time
% 0.19/0.50    0.003172 seconds of system run time
% 0.19/0.50    0 calls to %EVAL
% 0.19/0.50    0 page faults and
% 0.19/0.50    2,464,624 bytes consed.
% 0.19/0.50  :PROOF-FOUND
% 0.19/0.50  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-02T20:17:25
% 0.19/0.50  :PROOF-FOUND
% 0.19/0.50  * 
%------------------------------------------------------------------------------