TSTP Solution File: LCL433-2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL433-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n027.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 14:22:51 EDT 2022

% Result   : Unsatisfiable 0.19s 0.48s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   13 (   8 unt;   0 nHn;   9 RR)
%            Number of literals    :   19 (   0 equ;   7 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-3 aty)
%            Number of variables   :   23 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_2,negated_conjecture,
    c_PropLog_Osat(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),v_xa,t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(cls_conjecture_3,negated_conjecture,
    ~ c_in(v_xa,c_PropLog_Othms(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(cls_conjecture_4,negated_conjecture,
    ( c_in(X,c_PropLog_Othms(v_F,t_a),tc_PropLog_Opl(t_a))
    | ~ c_PropLog_Osat(v_F,X,t_a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

cnf(cls_PropLog_Osat__imp_0,axiom,
    ( ~ c_PropLog_Osat(c_insert(X,Y,tc_PropLog_Opl(Z)),U,Z)
    | c_PropLog_Osat(Y,c_PropLog_Opl_Oop_A_N_62(X,U,Z),Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Osat__imp_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_OMP_0,axiom,
    ( ~ c_in(X,c_PropLog_Othms(Y,Z),tc_PropLog_Opl(Z))
    | ~ c_in(c_PropLog_Opl_Oop_A_N_62(X,U,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_OMP_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(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_PropLog_Osat(v_F,c_PropLog_Opl_Oop_A_N_62(v_x,v_xa,t_a),t_a),
    inference('HYPERRESOLVE',[status(thm)],[cls_PropLog_Osat__imp_0,cls_conjecture_2]) ).

cnf(13,plain,
    c_in(c_PropLog_Opl_Oop_A_N_62(v_x,v_xa,t_a),c_PropLog_Othms(v_F,t_a),tc_PropLog_Opl(t_a)),
    inference('HYPERRESOLVE',[status(thm)],[cls_conjecture_4,11]) ).

cnf(19,plain,
    c_in(c_PropLog_Opl_Oop_A_N_62(v_x,v_xa,t_a),c_PropLog_Othms(c_insert(X,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
    inference('HYPERRESOLVE',[status(thm)],[cls_PropLog_Oweaken__left__insert_0,13]) ).

cnf(24,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_PropLog_Othms_OMP_0,10,cls_conjecture_3]),19]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL433-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n027.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun Jul  3 08:37:09 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.44  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44  * 
% 0.19/0.45  * 
% 0.19/0.45  #<PACKAGE "SNARK-USER">
% 0.19/0.45  * 
% 0.19/0.45  SNARK-TPTP-OPTIONS
% 0.19/0.45  * 
% 0.19/0.45  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.45   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.45   (USE-FACTORING :POS)
% 0.19/0.45   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.45   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.45   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.45   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.45   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.45   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.45   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.45   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.45   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.45   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.45  * 
% 0.19/0.45  "."
% 0.19/0.45  * 
% 0.19/0.45  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T08:37:09
% 0.19/0.45  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-07-03T08:37:09
% 0.19/0.48  
% 0.19/0.48  
% 0.19/0.48  #||
% 0.19/0.48  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.48  % SZS output start Refutation
% See solution above
% 0.19/0.48  ||#
% 0.19/0.48  
% 0.19/0.48  ; Summary of computation:
% 0.19/0.48  ;        32 formulas have been input or derived (from 19 formulas).
% 0.19/0.48  ;        24 (75%) were retained.  Of these,
% 0.19/0.48  ;           24 (100%) are still being kept.
% 0.19/0.48  ; 
% 0.19/0.48  ; Run time in seconds excluding printing time:
% 0.19/0.48  ;     0.003  10%   Read assertion file          (1 call)
% 0.19/0.48  ;     0.000   0%   Assert                       (8 calls)
% 0.19/0.48  ;     0.003  10%   Process new row              (24 calls)
% 0.19/0.48  ;     0.002   7%   Resolution                   (36 calls)
% 0.19/0.48  ;     0.000   0%   Paramodulation               (18 calls)
% 0.19/0.48  ;     0.001   3%   Condensing                   (5 calls)
% 0.19/0.48  ;     0.000   0%   Forward subsumption          (5 calls)
% 0.19/0.48  ;     0.000   0%   Backward subsumption         (5 calls)
% 0.19/0.48  ;     0.000   0%   Clause clause subsumption    (2 calls)
% 0.19/0.48  ;     0.001   3%   Forward simplification       (24 calls)
% 0.19/0.48  ;     0.000   0%   Backward simplification      (24 calls)
% 0.19/0.48  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.48  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.48  ;     0.020  67%   Other
% 0.19/0.48  ;     0.030        Total
% 0.19/0.48  ;     0.032        Real time
% 0.19/0.48  ; 
% 0.19/0.48  ; Term-hash-array has 46 terms in all.
% 0.19/0.48  ; Feature-vector-row-index has 5 entries (5 at peak, 5 added, 0 deleted).
% 0.19/0.48  ; Feature-vector-row-index has 38 nodes (38 at peak, 38 added, 0 deleted).
% 0.19/0.48  ;  Retrieved 2 possibly forward subsuming rows in 5 calls.
% 0.19/0.48  ;  Retrieved 0 possibly backward subsumed rows in 5 calls.
% 0.19/0.48  ; Path-index has 50 entries (50 at peak, 50 added, 0 deleted).
% 0.19/0.48  ; Path-index has 176 nodes (176 at peak, 176 added, 0 deleted).
% 0.19/0.48  ; Trie-index has 50 entries (50 at peak, 50 added, 0 deleted).
% 0.19/0.48  ; Trie-index has 218 nodes (218 at peak, 218 added, 0 deleted).
% 0.19/0.48  ; Retrieved 3 generalization terms in 28 calls.
% 0.19/0.48  ; Retrieved 20 instance terms in 18 calls.
% 0.19/0.48  ; Retrieved 198 unifiable terms in 151 calls.
% 0.19/0.48  ; 
% 0.19/0.48  ; The agenda of rows to process has 2 entries:
% 0.19/0.48  ;     1 with value 20              1 with value 22
% 0.19/0.48  ; The agenda of rows to give has 5 entries:
% 0.19/0.48  ;     1 with value (4 18)          2 with value (4 20)           1 with value (4 21)
% 0.19/0.48  ;     1 with value (4 19)
% 0.19/0.48  Evaluation took:
% 0.19/0.48    0.032 seconds of real time
% 0.19/0.48    0.024005 seconds of user run time
% 0.19/0.48    0.008082 seconds of system run time
% 0.19/0.48    0 calls to %EVAL
% 0.19/0.48    0 page faults and
% 0.19/0.48    2,456,384 bytes consed.
% 0.19/0.48  :PROOF-FOUND
% 0.19/0.48  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T08:37:09
% 0.19/0.48  :PROOF-FOUND
% 0.19/0.48  * 
%------------------------------------------------------------------------------