TSTP Solution File: LCL434-2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL434-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n004.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 14:22:52 EDT 2022

% Result   : Unsatisfiable 0.20s 0.49s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   11 (   7 unt;   2 nHn;   9 RR)
%            Number of literals    :   16 (   3 equ;   6 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-3 aty)
%            Number of variables   :   14 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
    c_in(v_pa,c_insert(v_p,v_H,tc_PropLog_Opl(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_pa,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(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__I_0,axiom,
    c_in(c_PropLog_Opl_Oop_A_N_62(X,X,Y),c_PropLog_Othms(Z,Y),tc_PropLog_Opl(Y)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms__I_0) ).

cnf(cls_PropLog_Oweaken__right_0,axiom,
    ( ~ c_in(X,c_PropLog_Othms(Y,Z),tc_PropLog_Opl(Z))
    | c_in(c_PropLog_Opl_Oop_A_N_62(U,X,Z),c_PropLog_Othms(Y,Z),tc_PropLog_Opl(Z)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Oweaken__right_0) ).

cnf(cls_Set_OinsertE_0,axiom,
    ( ~ c_in(X,c_insert(Y,Z,U),U)
    | c_in(X,Z,U)
    | X = Y ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertE_0) ).

cnf(9,plain,
    ( c_in(v_pa,v_H,tc_PropLog_Opl(t_a))
    | v_pa = v_p ),
    inference('HYPERRESOLVE',[status(thm)],[cls_Set_OinsertE_0,cls_conjecture_0]) ).

cnf(10,plain,
    ~ c_in(v_pa,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
    inference('UR-RESOLVE',[status(thm)],[cls_PropLog_Oweaken__right_0,cls_conjecture_1]) ).

cnf(12,plain,
    ~ c_in(v_pa,v_H,tc_PropLog_Opl(t_a)),
    inference('UR-RESOLVE',[status(thm)],[cls_PropLog_Othms_OH_0,10]) ).

cnf(13,plain,
    v_pa = v_p,
    inference('REWRITE',[status(thm)],[9,12]) ).

cnf(15,plain,
    $false,
    inference('REWRITE',[status(thm)],[cls_conjecture_1,cls_PropLog_Othms__I_0,13,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : LCL434-2 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n004.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Sun Jul  3 12:34:38 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46  * 
% 0.20/0.46  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 0.20/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47   (USE-FACTORING :POS)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47  * 
% 0.20/0.47  "."
% 0.20/0.47  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T12:34:38
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-07-03T12:34:38
% 0.20/0.49  
% 0.20/0.49  
% 0.20/0.49  #||
% 0.20/0.49  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.49  % SZS output start Refutation
% See solution above
% 0.20/0.50  ||#
% 0.20/0.50  
% 0.20/0.50  ; Summary of computation:
% 0.20/0.50  ;        23 formulas have been input or derived (from 8 formulas).
% 0.20/0.50  ;        15 (65%) were retained.  Of these,
% 0.20/0.50  ;            7 (47%) were simplified or subsumed later,
% 0.20/0.50  ;            8 (53%) are still being kept.
% 0.20/0.50  ; 
% 0.20/0.50  ; Run time in seconds excluding printing time:
% 0.20/0.50  ;     0.002   7%   Read assertion file          (1 call)
% 0.20/0.50  ;     0.001   4%   Assert                       (6 calls)
% 0.20/0.50  ;     0.001   4%   Process new row              (18 calls)
% 0.20/0.50  ;     0.001   4%   Resolution                   (14 calls)
% 0.20/0.50  ;     0.000   0%   Paramodulation               (7 calls)
% 0.20/0.50  ;     0.001   4%   Condensing                   (4 calls)
% 0.20/0.50  ;     0.000   0%   Forward subsumption          (4 calls)
% 0.20/0.50  ;     0.000   0%   Backward subsumption         (4 calls)
% 0.20/0.50  ;     0.000   0%   Clause clause subsumption    (1 call)
% 0.20/0.50  ;     0.001   4%   Forward simplification       (18 calls)
% 0.20/0.50  ;     0.000   0%   Backward simplification      (15 calls)
% 0.20/0.50  ;     0.000   0%   Ordering                     (2 calls)
% 0.20/0.50  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.50  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.50  ;     0.020  74%   Other
% 0.20/0.50  ;     0.027        Total
% 0.20/0.50  ;     0.029        Real time
% 0.20/0.50  ; 
% 0.20/0.50  ; Term-hash-array has 31 terms in all.
% 0.20/0.50  ; Feature-vector-row-index has 3 entries (4 at peak, 4 added, 1 deleted).
% 0.20/0.50  ; Feature-vector-row-index has 12 nodes (22 at peak, 22 added, 10 deleted).
% 0.20/0.50  ;  Retrieved 1 possibly forward subsuming row in 4 calls.
% 0.20/0.50  ;  Retrieved 0 possibly backward subsumed rows in 4 calls.
% 0.20/0.50  ; Path-index has 26 entries (34 at peak, 40 added, 14 deleted).
% 0.20/0.50  ; Path-index has 93 nodes (110 at peak, 123 added, 30 deleted).
% 0.20/0.50  ; Trie-index has 26 entries (34 at peak, 40 added, 14 deleted).
% 0.20/0.50  ; Trie-index has 76 nodes (114 at peak, 131 added, 55 deleted).
% 0.20/0.50  ; Retrieved 6 generalization terms in 19 calls.
% 0.20/0.50  ; Retrieved 11 instance terms in 10 calls.
% 0.20/0.50  ; Retrieved 78 unifiable terms in 55 calls.
% 0.20/0.50  ; 
% 0.20/0.50  ; The agenda of backward simplifiable rows to process has 4 entries:
% 0.20/0.50  ;     4 with value 0
% 0.20/0.50  ; The agenda of input rows to give has 1 entry:
% 0.20/0.50  ;     1 with value 12
% 0.20/0.50  ; The agenda of rows to give has 2 entries:
% 0.20/0.50  ;     1 with value (4 5)           1 with value (4 17)
% 0.20/0.50  Evaluation took:
% 0.20/0.50    0.029 seconds of real time
% 0.20/0.50    0.025509 seconds of user run time
% 0.20/0.50    0.0039 seconds of system run time
% 0.20/0.50    0 calls to %EVAL
% 0.20/0.50    0 page faults and
% 0.20/0.50    2,051,040 bytes consed.
% 0.20/0.50  :PROOF-FOUND
% 0.20/0.50  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T12:34:38
% 0.20/0.50  :PROOF-FOUND
% 0.20/0.50  * 
%------------------------------------------------------------------------------