TSTP Solution File: LCL029-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL029-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n007.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 14:19:40 EDT 2022

% Result   : Unsatisfiable 2.48s 2.66s
% Output   : Refutation 2.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   14 (  13 unt;   0 nHn;   5 RR)
%            Number of literals    :   16 (   0 equ;   5 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;   2 con; 0-2 aty)
%            Number of variables   :   26 (  10 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
    ( ~ is_a_theorem(implies(X,Y))
    | ~ is_a_theorem(X)
    | is_a_theorem(Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).

cnf(c0_1,axiom,
    is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c0_1) ).

cnf(c0_2,axiom,
    is_a_theorem(implies(X,implies(Y,X))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c0_2) ).

cnf(c0_3,axiom,
    is_a_theorem(implies(implies(implies(X,Y),X),X)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c0_3) ).

cnf(c0_4,axiom,
    is_a_theorem(implies(falsehood,X)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c0_4) ).

cnf(prove_c0_5,negated_conjecture,
    ~ is_a_theorem(implies(implies(implies(a,falsehood),falsehood),a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_c0_5) ).

cnf(7,plain,
    is_a_theorem(implies(X,implies(falsehood,Y))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,c0_2,c0_4]) ).

cnf(14,plain,
    ~ is_a_theorem(implies(implies(implies(implies(X,Y),X),X),implies(implies(implies(a,falsehood),falsehood),a))),
    inference('UR-RESOLVE',[status(thm)],[condensed_detachment,prove_c0_5,c0_3]) ).

cnf(19,plain,
    is_a_theorem(implies(implies(implies(implies(X,Y),implies(Z,Y)),U),implies(implies(Z,X),U))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,c0_1,c0_1]) ).

cnf(33,plain,
    is_a_theorem(implies(implies(implies(falsehood,X),Y),implies(Z,Y))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,7,c0_1]) ).

cnf(5046,plain,
    ~ is_a_theorem(implies(implies(implies(a,falsehood),falsehood),implies(implies(a,X),a))),
    inference('UR-RESOLVE',[status(thm)],[condensed_detachment,14,c0_1]) ).

cnf(5149,plain,
    is_a_theorem(implies(implies(X,implies(X,Y)),implies(X,Y))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,19,c0_3]) ).

cnf(5290,plain,
    is_a_theorem(implies(implies(implies(falsehood,X),Y),Y)),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,5149,33]) ).

cnf(5413,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[condensed_detachment,5290,19,5046]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL029-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n007.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun Jul  3 09:04:11 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 0.19/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47   (USE-FACTORING :POS)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-03T09:04:11
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-07-03T09:04:11
% 2.48/2.66  
% 2.48/2.66  
% 2.48/2.66  #||
% 2.48/2.66  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.48/2.66  % SZS output start Refutation
% See solution above
% 2.48/2.66  ||#
% 2.48/2.66  
% 2.48/2.66  ; Summary of computation:
% 2.48/2.66  ;     11684 formulas have been input or derived (from 150 formulas).
% 2.48/2.66  ;      5413 (46%) were retained.  Of these,
% 2.48/2.66  ;            2 ( 0%) were simplified or subsumed later,
% 2.48/2.66  ;         5411 (100%) are still being kept.
% 2.48/2.66  ; 
% 2.48/2.66  ; Run time in seconds excluding printing time:
% 2.48/2.66  ;     0.001   0%   Read assertion file          (1 call)
% 2.48/2.66  ;     0.000   0%   Assert                       (6 calls)
% 2.48/2.66  ;     0.591  27%   Process new row              (9,563 calls)
% 2.48/2.66  ;     0.880  40%   Resolution                   (298 calls)
% 2.48/2.66  ;     0.045   2%   Paramodulation               (149 calls)
% 2.48/2.66  ;     0.000   0%   Condensing                   (1 call)
% 2.48/2.66  ;     0.000   0%   Forward subsumption          (1 call)
% 2.48/2.66  ;     0.000   0%   Backward subsumption         (1 call)
% 2.48/2.66  ;     0.342  16%   Forward simplification       (9,563 calls)
% 2.48/2.66  ;     0.270  12%   Backward simplification      (5,413 calls)
% 2.48/2.66  ;     0.000   0%   Sortal reasoning             (32 calls)
% 2.48/2.66  ;     0.000   0%   Purity testing               (1 call)
% 2.48/2.66  ;     0.061   3%   Other
% 2.48/2.66  ;     2.190        Total
% 2.48/2.66  ;     2.192        Real time
% 2.48/2.66  ; 
% 2.48/2.66  ; Term-hash-array has 12,284 terms in all.
% 2.48/2.66  ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 2.48/2.66  ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 2.48/2.66  ;  Retrieved 0 possibly forward subsuming rows in 1 call.
% 2.48/2.66  ;  Retrieved 0 possibly backward subsumed rows in 1 call.
% 2.48/2.66  ; Path-index has 12,284 entries (12,284 at peak, 12,288 added, 4 deleted).
% 2.48/2.66  ; Path-index has 1,172 nodes (1,172 at peak, 1,172 added, 0 deleted).
% 2.48/2.66  ; Trie-index has 12,284 entries (12,284 at peak, 12,288 added, 4 deleted).
% 2.48/2.66  ; Trie-index has 23,222 nodes (23,222 at peak, 23,222 added, 0 deleted).
% 2.48/2.66  ; Retrieved 207,054 generalization terms in 9,560 calls.
% 2.48/2.66  ; Retrieved 52,853 instance terms in 5,411 calls.
% 2.48/2.66  ; Retrieved 2,932,976 unifiable terms in 5,081 calls.
% 2.48/2.66  ; 
% 2.48/2.66  ; The agenda of rows to process has 331 entries:
% 2.48/2.66  ;    14 with value 10              1 with value 20              20 with value 27
% 2.48/2.66  ;    20 with value 13             11 with value 21              20 with value 28
% 2.48/2.66  ;     7 with value 14              4 with value 22              10 with value 29
% 2.48/2.66  ;     6 with value 15             12 with value 23              32 with value 30
% 2.48/2.66  ;    30 with value 16             19 with value 24              11 with value 31
% 2.48/2.66  ;     1 with value 17             19 with value 25               4 with value 32
% 2.48/2.66  ;    25 with value 18             35 with value 26               1 with value 34
% 2.48/2.66  ;    29 with value 19
% 2.48/2.66  ; The agenda of rows to give has 5261 entries:
% 2.48/2.66  ;     3 with value (4 17)        220 with value (4 27)         304 with value (4 36)
% 2.48/2.66  ;     1 with value (4 18)        309 with value (4 28)         142 with value (4 37)
% 2.48/2.66  ;     6 with value (4 19)        314 with value (4 29)          64 with value (4 38)
% 2.48/2.66  ;     6 with value (4 20)        489 with value (4 30)          34 with value (4 39)
% 2.48/2.66  ;     2 with value (4 21)        391 with value (4 31)          38 with value (4 40)
% 2.48/2.66  ;    66 with value (4 22)        696 with value (4 32)          10 with value (4 41)
% 2.48/2.66  ;    79 with value (4 23)        543 with value (4 33)           1 with value (4 43)
% 2.48/2.66  ;   120 with value (4 24)        559 with value (4 34)           4 with value (4 44)
% 2.48/2.66  ;   130 with value (4 25)        496 with value (4 35)           1 with value (4 48)
% 2.48/2.66  ;   233 with value (4 26)
% 2.48/2.66  Evaluation took:
% 2.48/2.66    2.193 seconds of real time
% 2.48/2.66    2.107359 seconds of user run time
% 2.48/2.66    0.085694 seconds of system run time
% 2.48/2.66    [Run times include 0.179 seconds GC run time.]
% 2.48/2.66    0 calls to %EVAL
% 2.48/2.66    0 page faults and
% 2.48/2.66    138,148,112 bytes consed.
% 2.48/2.66  :PROOF-FOUND
% 2.48/2.66  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-03T09:04:13
% 2.48/2.66  :PROOF-FOUND
% 2.48/2.66  * 
%------------------------------------------------------------------------------