TSTP Solution File: LCL431-2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL431-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n026.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 14:22:50 EDT 2022

% Result   : Unsatisfiable 0.20s 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    6 (   5 unt;   0 nHn;   3 RR)
%            Number of literals    :    7 (   1 equ;   2 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-3 aty)
%            Number of variables   :    8 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
    c_PropLog_Osat(c_emptyset,v_p,t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    ~ c_in(v_p,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(cls_PropLog_Ocompleteness__0__lemma__dest_0,axiom,
    ( ~ c_PropLog_Osat(c_emptyset,X,Y)
    | c_in(X,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(X,Z,Y),c_PropLog_Ohyps(X,U,Y),tc_set(tc_PropLog_Opl(Y))),Y),tc_PropLog_Opl(Y)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Ocompleteness__0__lemma__dest_0) ).

cnf(cls_Set_ODiff__cancel_0,axiom,
    c_minus(X,X,tc_set(Y)) = c_emptyset,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_ODiff__cancel_0) ).

cnf(5,plain,
    c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,X,t_a),c_PropLog_Ohyps(v_p,Y,t_a),tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)),
    inference('HYPERRESOLVE',[status(thm)],[cls_PropLog_Ocompleteness__0__lemma__dest_0,cls_conjecture_0]) ).

cnf(6,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[5,cls_Set_ODiff__cancel_0,theory(equality)]),cls_conjecture_1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL431-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n026.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 : Sun Jul  3 13:47:36 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.48  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 0.20/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48   (USE-FACTORING :POS)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48  * 
% 0.20/0.48  "."
% 0.20/0.48  * 
% 0.20/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-03T13:47:36
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-07-03T13:47:36
% 0.20/0.50  
% 0.20/0.50  
% 0.20/0.50  #||
% 0.20/0.50  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.50  % SZS output start Refutation
% See solution above
% 0.20/0.51  ||#
% 0.20/0.51  
% 0.20/0.51  ; Summary of computation:
% 0.20/0.51  ;         8 formulas have been input or derived (from 6 formulas).
% 0.20/0.51  ;         6 (75%) were retained.  Of these,
% 0.20/0.51  ;            6 (100%) are still being kept.
% 0.20/0.51  ; 
% 0.20/0.51  ; Run time in seconds excluding printing time:
% 0.20/0.51  ;     0.001   4%   Read assertion file          (1 call)
% 0.20/0.51  ;     0.000   0%   Assert                       (4 calls)
% 0.20/0.51  ;     0.000   0%   Process new row              (7 calls)
% 0.20/0.51  ;     0.001   4%   Resolution                   (10 calls)
% 0.20/0.51  ;     0.000   0%   Paramodulation               (5 calls)
% 0.20/0.51  ;     0.000   0%   Condensing                   (1 call)
% 0.20/0.51  ;     0.000   0%   Forward subsumption          (1 call)
% 0.20/0.51  ;     0.000   0%   Backward subsumption         (1 call)
% 0.20/0.51  ;     0.000   0%   Forward simplification       (7 calls)
% 0.20/0.51  ;     0.001   4%   Backward simplification      (6 calls)
% 0.20/0.51  ;     0.000   0%   Ordering                     (6 calls)
% 0.20/0.51  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.51  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.51  ;     0.022  88%   Other
% 0.20/0.51  ;     0.025        Total
% 0.20/0.51  ;     0.027        Real time
% 0.20/0.51  ; 
% 0.20/0.51  ; Term-hash-array has 21 terms in all.
% 0.20/0.51  ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 0.20/0.51  ; Feature-vector-row-index has 15 nodes (15 at peak, 15 added, 0 deleted).
% 0.20/0.51  ;  Retrieved 0 possibly forward subsuming rows in 1 call.
% 0.20/0.51  ;  Retrieved 0 possibly backward subsumed rows in 1 call.
% 0.20/0.51  ; Path-index has 24 entries (24 at peak, 24 added, 0 deleted).
% 0.20/0.51  ; Path-index has 142 nodes (142 at peak, 142 added, 0 deleted).
% 0.20/0.51  ; Trie-index has 24 entries (24 at peak, 24 added, 0 deleted).
% 0.20/0.51  ; Trie-index has 124 nodes (124 at peak, 124 added, 0 deleted).
% 0.20/0.51  ; Retrieved 2 generalization terms in 5 calls.
% 0.20/0.51  ; Retrieved 5 instance terms in 4 calls.
% 0.20/0.51  ; Retrieved 8 unifiable terms in 35 calls.
% 0.20/0.51  ; 
% 0.20/0.51  ; All agendas are empty.
% 0.20/0.51  Evaluation took:
% 0.20/0.51    0.027 seconds of real time
% 0.20/0.51    0.019078 seconds of user run time
% 0.20/0.51    0.008037 seconds of system run time
% 0.20/0.51    0 calls to %EVAL
% 0.20/0.51    0 page faults and
% 0.20/0.51    1,641,816 bytes consed.
% 0.20/0.51  :PROOF-FOUND
% 0.20/0.51  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-03T13:47:36
% 0.20/0.51  :PROOF-FOUND
% 0.20/0.51  * 
%------------------------------------------------------------------------------