TSTP Solution File: LCL065-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL065-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n028.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 14:19:56 EDT 2022

% Result   : Unsatisfiable 0.69s 0.88s
% Output   : Refutation 0.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   13 (  12 unt;   0 nHn;   5 RR)
%            Number of literals    :   15 (   0 equ;   5 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    6 (   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   :   24 (   7 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_18,axiom,
    is_a_theorem(implies(X,implies(Y,X))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_18) ).

cnf(cn_35,axiom,
    is_a_theorem(implies(implies(X,implies(Y,Z)),implies(implies(X,Y),implies(X,Z)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_35) ).

cnf(cn_49,axiom,
    is_a_theorem(implies(implies(not(X),not(Y)),implies(Y,X))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_49) ).

cnf(prove_cn_2,negated_conjecture,
    ~ is_a_theorem(implies(implies(not(a),a),a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_2) ).

cnf(8,plain,
    ~ is_a_theorem(implies(implies(X,implies(Y,X)),implies(implies(not(a),a),a))),
    inference('UR-RESOLVE',[status(thm)],[condensed_detachment,cn_18,prove_cn_2]) ).

cnf(10,plain,
    is_a_theorem(implies(X,implies(implies(not(Y),not(Z)),implies(Z,Y)))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,cn_49,cn_18]) ).

cnf(147,plain,
    is_a_theorem(implies(implies(X,implies(not(Y),not(Z))),implies(X,implies(Z,Y)))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,10,cn_35]) ).

cnf(207,plain,
    ~ is_a_theorem(implies(implies(not(a),a),implies(implies(X,implies(not(a),a)),a))),
    inference('UR-RESOLVE',[status(thm)],[condensed_detachment,8,cn_35]) ).

cnf(1320,plain,
    is_a_theorem(implies(not(X),implies(X,Y))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,147,cn_18]) ).

cnf(1386,plain,
    is_a_theorem(implies(implies(not(X),X),implies(not(X),Y))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,1320,cn_35]) ).

cnf(1731,plain,
    is_a_theorem(implies(implies(not(X),X),implies(Y,X))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,1386,147]) ).

cnf(1732,plain,
    $false,
    inference('REWRITE',[status(thm)],[207,1731]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : LCL065-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12  % Command  : run-snark %s %d
% 0.12/0.32  % Computer : n028.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 600
% 0.12/0.32  % DateTime : Mon Jul  4 00:23:04 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.43  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44  * 
% 0.18/0.44  * 
% 0.18/0.45  #<PACKAGE "SNARK-USER">
% 0.18/0.45  * 
% 0.18/0.45  SNARK-TPTP-OPTIONS
% 0.18/0.45  * 
% 0.18/0.45  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.45   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.45   (USE-FACTORING :POS)
% 0.18/0.45   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.45   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.45   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.45   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.45   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.45   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.45   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.45   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.45   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.45   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.45  * 
% 0.18/0.45  "."
% 0.18/0.45  * 
% 0.18/0.45  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T00:23:04
% 0.18/0.45  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-07-04T00:23:04
% 0.69/0.88  
% 0.69/0.88  
% 0.69/0.88  #||
% 0.69/0.88  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.69/0.88  % SZS output start Refutation
% See solution above
% 0.69/0.88  ||#
% 0.69/0.88  
% 0.69/0.88  ; Summary of computation:
% 0.69/0.88  ;      3413 formulas have been input or derived (from 85 formulas).
% 0.69/0.88  ;      1732 (51%) were retained.  Of these,
% 0.69/0.88  ;            6 ( 0%) were simplified or subsumed later,
% 0.69/0.88  ;         1726 (100%) are still being kept.
% 0.69/0.88  ; 
% 0.69/0.88  ; Run time in seconds excluding printing time:
% 0.69/0.88  ;     0.001   0%   Read assertion file          (1 call)
% 0.69/0.88  ;     0.000   0%   Assert                       (5 calls)
% 0.69/0.88  ;     0.165  38%   Process new row              (2,830 calls)
% 0.69/0.88  ;     0.089  21%   Resolution                   (168 calls)
% 0.69/0.88  ;     0.009   2%   Paramodulation               (84 calls)
% 0.69/0.88  ;     0.000   0%   Condensing                   (1 call)
% 0.69/0.88  ;     0.000   0%   Forward subsumption          (1 call)
% 0.69/0.88  ;     0.001   0%   Backward subsumption         (1 call)
% 0.69/0.88  ;     0.081  19%   Forward simplification       (2,828 calls)
% 0.69/0.88  ;     0.043  10%   Backward simplification      (1,732 calls)
% 0.69/0.88  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.69/0.88  ;     0.000   0%   Purity testing               (1 call)
% 0.69/0.88  ;     0.044  10%   Other
% 0.69/0.88  ;     0.433        Total
% 0.69/0.88  ;     0.434        Real time
% 0.69/0.88  ; 
% 0.69/0.88  ; Term-hash-array has 4,003 terms in all.
% 0.69/0.88  ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 0.69/0.88  ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 0.69/0.88  ;  Retrieved 0 possibly forward subsuming rows in 1 call.
% 0.69/0.88  ;  Retrieved 0 possibly backward subsumed rows in 1 call.
% 0.69/0.88  ; Path-index has 3,989 entries (3,995 at peak, 4,004 added, 15 deleted).
% 0.69/0.88  ; Path-index has 988 nodes (994 at peak, 994 added, 6 deleted).
% 0.69/0.88  ; Trie-index has 3,989 entries (3,995 at peak, 4,004 added, 15 deleted).
% 0.69/0.88  ; Trie-index has 8,880 nodes (8,909 at peak, 8,941 added, 61 deleted).
% 0.69/0.88  ; Retrieved 32,949 generalization terms in 2,825 calls.
% 0.69/0.88  ; Retrieved 6,144 instance terms in 1,730 calls.
% 0.69/0.88  ; Retrieved 177,286 unifiable terms in 1,864 calls.
% 0.69/0.88  ; 
% 0.69/0.88  ; The agenda of rows to process has 97 entries:
% 0.69/0.88  ;     5 with value 18              6 with value 25               5 with value 30
% 0.69/0.88  ;    11 with value 19              3 with value 26               7 with value 31
% 0.69/0.88  ;     3 with value 20              3 with value 27              10 with value 32
% 0.69/0.88  ;    10 with value 22              7 with value 28               8 with value 33
% 0.69/0.88  ;     4 with value 23              5 with value 29               3 with value 34
% 0.69/0.88  ;     7 with value 24
% 0.69/0.88  ; The agenda of rows to give has 1642 entries:
% 0.69/0.88  ;     1 with value (4 13)         53 with value (4 23)         157 with value (4 31)
% 0.69/0.88  ;     1 with value (4 16)         70 with value (4 24)         202 with value (4 32)
% 0.69/0.88  ;     1 with value (4 17)         75 with value (4 25)         107 with value (4 33)
% 0.69/0.88  ;     4 with value (4 18)         94 with value (4 26)         141 with value (4 34)
% 0.69/0.88  ;     4 with value (4 19)        104 with value (4 27)          65 with value (4 35)
% 0.69/0.88  ;    13 with value (4 20)        120 with value (4 28)          46 with value (4 36)
% 0.69/0.88  ;    14 with value (4 21)        148 with value (4 29)          17 with value (4 37)
% 0.69/0.88  ;    37 with value (4 22)        166 with value (4 30)           2 with value (4 38)
% 0.69/0.88  Evaluation took:
% 0.69/0.88    0.435 seconds of real time
% 0.69/0.88    0.403428 seconds of user run time
% 0.69/0.88    0.030907 seconds of system run time
% 0.69/0.88    [Run times include 0.021 seconds GC run time.]
% 0.69/0.88    0 calls to %EVAL
% 0.69/0.88    0 page faults and
% 0.69/0.88    28,878,688 bytes consed.
% 0.69/0.88  :PROOF-FOUND
% 0.69/0.88  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T00:23:04
% 0.69/0.88  :PROOF-FOUND
% 0.69/0.88  * 
%------------------------------------------------------------------------------