TSTP Solution File: LCL173-3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL173-3 : TPTP v8.1.0. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n008.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 14:20:44 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    :    4 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :    9 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_1_6,axiom,
    axiom(implies(implies(X,Y),implies(or(Z,X),or(Z,Y)))),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_6) ).

cnf(implies_definition,axiom,
    implies(X,Y) = or(not(X),Y),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',implies_definition) ).

cnf(rule_1,axiom,
    ( theorem(X)
    | ~ axiom(X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',rule_1) ).

cnf(prove_this,negated_conjecture,
    ~ theorem(implies(implies(q,r),implies(implies(p,q),implies(p,r)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

cnf(21,plain,
    axiom(implies(implies(X,Y),implies(implies(Z,X),implies(Z,Y)))),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[axiom_1_6,implies_definition,theory(equality)]),implies_definition,theory(equality)]) ).

cnf(22,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[rule_1,prove_this]),21]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL173-3 : TPTP v8.1.0. Released v2.3.0.
% 0.03/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n008.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 : Mon Jul  4 16:26:38 EDT 2022
% 0.12/0.34  % 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 2022-07-04T16:26:38
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-07-04T16:26:38
% 0.20/0.50  
% 0.20/0.50  
% 0.20/0.50  #||
% 0.20/0.50  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.50  % 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  ;        31 formulas have been input or derived (from 10 formulas).
% 0.20/0.50  ;        22 (71%) were retained.  Of these,
% 0.20/0.50  ;           22 (100%) 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  ;     0.000   0%   Assert                       (9 calls)
% 0.20/0.50  ;     0.001   3%   Process new row              (26 calls)
% 0.20/0.50  ;     0.001   3%   Resolution                   (18 calls)
% 0.20/0.50  ;     0.001   3%   Paramodulation               (9 calls)
% 0.20/0.50  ;     0.000   0%   Condensing                   (2 calls)
% 0.20/0.50  ;     0.000   0%   Forward subsumption          (2 calls)
% 0.20/0.50  ;     0.000   0%   Backward subsumption         (2 calls)
% 0.20/0.50  ;     0.000   0%   Forward simplification       (26 calls)
% 0.20/0.50  ;     0.000   0%   Backward simplification      (22 calls)
% 0.20/0.50  ;     0.000   0%   Ordering                     (11 calls)
% 0.20/0.50  ;     0.001   3%   Sortal reasoning             (32 calls)
% 0.20/0.50  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.50  ;     0.023  79%   Other
% 0.20/0.50  ;     0.029        Total
% 0.20/0.50  ;     0.031        Real time
% 0.20/0.50  ; 
% 0.20/0.50  ; Term-hash-array has 67 terms in all.
% 0.20/0.50  ; Feature-vector-row-index has 2 entries (2 at peak, 2 added, 0 deleted).
% 0.20/0.50  ; Feature-vector-row-index has 6 nodes (6 at peak, 6 added, 0 deleted).
% 0.20/0.50  ;  Retrieved 0 possibly forward subsuming rows in 2 calls.
% 0.20/0.50  ;  Retrieved 0 possibly backward subsumed rows in 2 calls.
% 0.20/0.50  ; Path-index has 70 entries (70 at peak, 70 added, 0 deleted).
% 0.20/0.50  ; Path-index has 266 nodes (266 at peak, 266 added, 0 deleted).
% 0.20/0.50  ; Trie-index has 70 entries (70 at peak, 70 added, 0 deleted).
% 0.20/0.50  ; Trie-index has 232 nodes (232 at peak, 232 added, 0 deleted).
% 0.20/0.50  ; Retrieved 38 generalization terms in 53 calls.
% 0.20/0.50  ; Retrieved 20 instance terms in 19 calls.
% 0.20/0.50  ; Retrieved 78 unifiable terms in 63 calls.
% 0.20/0.50  ; 
% 0.20/0.50  ; The agenda of rows to give has 12 entries:
% 0.20/0.50  ;     3 with value (4 10)          1 with value (4 13)           5 with value (4 17)
% 0.20/0.50  ;     1 with value (4 12)          2 with value (4 14)
% 0.20/0.50  Evaluation took:
% 0.20/0.50    0.031 seconds of real time
% 0.20/0.50    0.023647 seconds of user run time
% 0.20/0.50    0.007279 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    1,809,160 bytes consed.
% 0.20/0.50  :PROOF-FOUND
% 0.20/0.50  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T16:26:38
% 0.20/0.50  :PROOF-FOUND
% 0.20/0.50  * 
%------------------------------------------------------------------------------