TSTP Solution File: LCL046-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL046-1 : TPTP v8.1.0. Released v1.0.0.
% 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 14:19:45 EDT 2022

% Result   : Unsatisfiable 0.18s 0.47s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    7 (   6 unt;   0 nHn;   4 RR)
%            Number of literals    :    9 (   0 equ;   4 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :    9 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
    ( ~ is_a_theorem(implies(X,Y))
    | ~ is_a_theorem(X)
    | is_a_theorem(Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).

cnf(cn_1,axiom,
    is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_1) ).

cnf(cn_2,axiom,
    is_a_theorem(implies(implies(not(X),X),X)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_2) ).

cnf(cn_3,axiom,
    is_a_theorem(implies(X,implies(not(X),Y))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_3) ).

cnf(prove_cn_16,negated_conjecture,
    ~ is_a_theorem(implies(a,a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_16) ).

cnf(9,plain,
    ~ is_a_theorem(implies(implies(implies(not(X),X),X),implies(a,a))),
    inference('UR-RESOLVE',[status(thm)],[condensed_detachment,cn_2,prove_cn_16]) ).

cnf(42,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[condensed_detachment,9,cn_1,cn_3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : LCL046-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.11  % Command  : run-snark %s %d
% 0.11/0.32  % Computer : n027.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Mon Jul  4 14:29:56 EDT 2022
% 0.11/0.32  % CPUTime  : 
% 0.18/0.43  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44  * 
% 0.18/0.44  * 
% 0.18/0.44  #<PACKAGE "SNARK-USER">
% 0.18/0.44  * 
% 0.18/0.44  SNARK-TPTP-OPTIONS
% 0.18/0.44  * 
% 0.18/0.44  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.44   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.44   (USE-FACTORING :POS)
% 0.18/0.44   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.44   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.44   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.44   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.44   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.44   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.44   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.44   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.44   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.44   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.44  * 
% 0.18/0.44  "."
% 0.18/0.44  * 
% 0.18/0.44  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T14:29:56
% 0.18/0.44  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-07-04T14:29:56
% 0.18/0.47  
% 0.18/0.47  
% 0.18/0.47  #||
% 0.18/0.47  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.47  % SZS output start Refutation
% See solution above
% 0.18/0.48  ||#
% 0.18/0.48  
% 0.18/0.48  ; Summary of computation:
% 0.18/0.48  ;        74 formulas have been input or derived (from 12 formulas).
% 0.18/0.48  ;        42 (57%) were retained.  Of these,
% 0.18/0.48  ;           42 (100%) are still being kept.
% 0.18/0.48  ; 
% 0.18/0.48  ; Run time in seconds excluding printing time:
% 0.18/0.48  ;     0.001   3%   Read assertion file          (1 call)
% 0.18/0.48  ;     0.000   0%   Assert                       (5 calls)
% 0.18/0.48  ;     0.009  28%   Process new row              (61 calls)
% 0.18/0.48  ;     0.000   0%   Resolution                   (22 calls)
% 0.18/0.48  ;     0.000   0%   Paramodulation               (11 calls)
% 0.18/0.48  ;     0.000   0%   Condensing                   (1 call)
% 0.18/0.48  ;     0.000   0%   Forward subsumption          (1 call)
% 0.18/0.48  ;     0.000   0%   Backward subsumption         (1 call)
% 0.18/0.48  ;     0.000   0%   Forward simplification       (61 calls)
% 0.18/0.48  ;     0.000   0%   Backward simplification      (42 calls)
% 0.18/0.48  ;     0.001   3%   Sortal reasoning             (32 calls)
% 0.18/0.48  ;     0.000   0%   Purity testing               (1 call)
% 0.18/0.48  ;     0.021  66%   Other
% 0.18/0.48  ;     0.032        Total
% 0.18/0.48  ;     0.034        Real time
% 0.18/0.48  ; 
% 0.18/0.48  ; Term-hash-array has 127 terms in all.
% 0.18/0.48  ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 0.18/0.48  ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 0.18/0.48  ;  Retrieved 0 possibly forward subsuming rows in 1 call.
% 0.18/0.48  ;  Retrieved 0 possibly backward subsumed rows in 1 call.
% 0.18/0.48  ; Path-index has 128 entries (128 at peak, 128 added, 0 deleted).
% 0.18/0.48  ; Path-index has 486 nodes (486 at peak, 486 added, 0 deleted).
% 0.18/0.48  ; Trie-index has 128 entries (128 at peak, 128 added, 0 deleted).
% 0.18/0.48  ; Trie-index has 639 nodes (639 at peak, 639 added, 0 deleted).
% 0.18/0.48  ; Retrieved 36 generalization terms in 58 calls.
% 0.18/0.48  ; Retrieved 41 instance terms in 40 calls.
% 0.18/0.48  ; Retrieved 325 unifiable terms in 133 calls.
% 0.18/0.48  ; 
% 0.18/0.48  ; The agenda of rows to process has 9 entries:
% 0.18/0.48  ;     1 with value 13              2 with value 26               1 with value 31
% 0.18/0.48  ;     2 with value 15              2 with value 30               1 with value 32
% 0.18/0.48  ; The agenda of rows to give has 30 entries:
% 0.18/0.48  ;     3 with value (4 17)          4 with value (4 24)           7 with value (4 28)
% 0.18/0.48  ;     3 with value (4 22)          3 with value (4 27)           2 with value (4 29)
% 0.18/0.48  ;     8 with value (4 23)
% 0.18/0.48  Evaluation took:
% 0.18/0.48    0.034 seconds of real time
% 0.18/0.48    0.026596 seconds of user run time
% 0.18/0.48    0.007087 seconds of system run time
% 0.18/0.48    0 calls to %EVAL
% 0.18/0.48    0 page faults and
% 0.18/0.48    2,009,944 bytes consed.
% 0.18/0.48  :PROOF-FOUND
% 0.18/0.48  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T14:29:56
% 0.18/0.48  :PROOF-FOUND
% 0.18/0.48  * 
%------------------------------------------------------------------------------