TSTP Solution File: LCL204-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL204-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n011.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 14:21:07 EDT 2022

% Result   : Unsatisfiable 6.45s 6.65s
% Output   : Refutation 6.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   13 (  10 unt;   0 nHn;   6 RR)
%            Number of literals    :   18 (   0 equ;   7 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   22 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_1_3,axiom,
    axiom(or(not(X),or(Y,X))),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',axiom_1_3) ).

cnf(axiom_1_4,axiom,
    axiom(or(not(or(X,Y)),or(Y,X))),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',axiom_1_4) ).

cnf(axiom_1_5,axiom,
    axiom(or(not(or(X,or(Y,Z))),or(Y,or(X,Z)))),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',axiom_1_5) ).

cnf(rule_1,axiom,
    ( theorem(X)
    | ~ axiom(X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',rule_1) ).

cnf(rule_2,axiom,
    ( theorem(X)
    | ~ axiom(or(not(Y),X))
    | ~ theorem(Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',rule_2) ).

cnf(rule_3,axiom,
    ( theorem(or(not(X),Y))
    | ~ axiom(or(not(X),Z))
    | ~ theorem(or(not(Z),Y)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',rule_3) ).

cnf(prove_this,negated_conjecture,
    ~ theorem(or(not(not(or(not(p),q))),or(not(not(p)),q))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(12,plain,
    theorem(or(not(or(X,Y)),or(Y,X))),
    inference('HYPERRESOLVE',[status(thm)],[rule_1,axiom_1_4]) ).

cnf(17,plain,
    ~ theorem(or(not(not(p)),or(not(not(or(not(p),q))),q))),
    inference('UR-RESOLVE',[status(thm)],[rule_2,prove_this,axiom_1_5]) ).

cnf(115,plain,
    theorem(or(not(X),or(X,Y))),
    inference('HYPERRESOLVE',[status(thm)],[rule_3,12,axiom_1_3]) ).

cnf(131,plain,
    theorem(or(X,or(not(X),Y))),
    inference('HYPERRESOLVE',[status(thm)],[rule_2,115,axiom_1_5]) ).

cnf(168,plain,
    theorem(or(not(or(X,Y)),or(not(not(or(Y,X))),Z))),
    inference('HYPERRESOLVE',[status(thm)],[rule_3,131,axiom_1_4]) ).

cnf(24066,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[rule_3,168,17,axiom_1_3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : LCL204-1 : TPTP v8.1.0. Released v1.1.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n011.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat Jul  2 23:44:05 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.48  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 0.20/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48   (USE-FACTORING :POS)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48  * 
% 0.20/0.48  "."
% 0.20/0.48  * 
% 0.20/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-02T23:44:05
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-07-02T23:44:05
% 6.45/6.65  
% 6.45/6.65  
% 6.45/6.65  #||
% 6.45/6.65  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.45/6.65  % SZS output start Refutation
% See solution above
% 6.45/6.65  ||#
% 6.45/6.65  
% 6.45/6.65  ; Summary of computation:
% 6.45/6.65  ;     27816 formulas have been input or derived (from 600 formulas).
% 6.45/6.65  ;     24066 (87%) were retained.  Of these,
% 6.45/6.65  ;            1 ( 0%) were simplified or subsumed later,
% 6.45/6.65  ;        24065 (100%) are still being kept.
% 6.45/6.65  ; 
% 6.45/6.65  ; Run time in seconds excluding printing time:
% 6.45/6.65  ;     0.003   0%   Read assertion file          (1 call)
% 6.45/6.65  ;     0.000   0%   Assert                       (9 calls)
% 6.45/6.65  ;     2.654  43%   Process new row              (26,231 calls)
% 6.45/6.65  ;     1.056  17%   Resolution                   (1,198 calls)
% 6.45/6.65  ;     0.679  11%   Paramodulation               (599 calls)
% 6.45/6.65  ;     0.000   0%   Condensing                   (3 calls)
% 6.45/6.65  ;     0.000   0%   Forward subsumption          (3 calls)
% 6.45/6.65  ;     0.000   0%   Backward subsumption         (3 calls)
% 6.45/6.65  ;     0.000   0%   Clause clause subsumption    (3 calls)
% 6.45/6.65  ;     0.666  11%   Forward simplification       (26,231 calls)
% 6.45/6.65  ;     0.973  16%   Backward simplification      (24,066 calls)
% 6.45/6.65  ;     0.000   0%   Sortal reasoning             (32 calls)
% 6.45/6.65  ;     0.000   0%   Purity testing               (1 call)
% 6.45/6.65  ;     0.137   2%   Other
% 6.45/6.65  ;     6.168        Total
% 6.45/6.65  ;     6.170        Real time
% 6.45/6.65  ; 
% 6.45/6.65  ; Term-hash-array has 50,449 terms in all.
% 6.45/6.65  ; Feature-vector-row-index has 3 entries (3 at peak, 3 added, 0 deleted).
% 6.45/6.65  ; Feature-vector-row-index has 15 nodes (15 at peak, 15 added, 0 deleted).
% 6.45/6.65  ;  Retrieved 3 possibly forward subsuming rows in 3 calls.
% 6.45/6.65  ;  Retrieved 0 possibly backward subsumed rows in 3 calls.
% 6.45/6.65  ; Path-index has 50,450 entries (50,450 at peak, 50,452 added, 2 deleted).
% 6.45/6.65  ; Path-index has 4,934 nodes (4,934 at peak, 4,934 added, 0 deleted).
% 6.45/6.65  ; Trie-index has 50,450 entries (50,450 at peak, 50,452 added, 2 deleted).
% 6.45/6.65  ; Trie-index has 109,662 nodes (109,662 at peak, 109,662 added, 0 deleted).
% 6.45/6.65  ; Retrieved 278,315 generalization terms in 26,330 calls.
% 6.45/6.65  ; Retrieved 59,077 instance terms in 24,062 calls.
% 6.45/6.65  ; Retrieved 118,096 unifiable terms in 20,219 calls.
% 6.45/6.65  ; 
% 6.45/6.65  ; The agenda of rows to process has 73 entries:
% 6.45/6.65  ;     1 with value 18              5 with value 29               6 with value 36
% 6.45/6.65  ;     1 with value 22              2 with value 31               9 with value 37
% 6.45/6.65  ;     1 with value 23              1 with value 32              10 with value 38
% 6.45/6.65  ;     4 with value 24              3 with value 33              10 with value 39
% 6.45/6.65  ;     1 with value 27              2 with value 34               7 with value 40
% 6.45/6.65  ;     1 with value 28              8 with value 35               1 with value 42
% 6.45/6.65  ; The agenda of rows to give has 23465 entries:
% 6.45/6.65  ;   222 with value (4 23)       2555 with value (4 35)           2 with value (4 47)
% 6.45/6.65  ;   211 with value (4 24)       2923 with value (4 36)           2 with value (4 48)
% 6.45/6.65  ;   273 with value (4 25)       2137 with value (4 37)           1 with value (4 49)
% 6.45/6.65  ;   387 with value (4 26)       1997 with value (4 38)           2 with value (4 50)
% 6.45/6.65  ;   407 with value (4 27)        922 with value (4 39)           1 with value (4 51)
% 6.45/6.65  ;   596 with value (4 28)        393 with value (4 40)           2 with value (4 52)
% 6.45/6.65  ;   680 with value (4 29)        149 with value (4 41)           1 with value (4 53)
% 6.45/6.65  ;  1037 with value (4 30)         97 with value (4 42)           1 with value (4 54)
% 6.45/6.65  ;  1173 with value (4 31)         16 with value (4 43)           1 with value (4 55)
% 6.45/6.65  ;  1927 with value (4 32)          5 with value (4 44)           1 with value (4 60)
% 6.45/6.65  ;  2142 with value (4 33)          3 with value (4 45)           1 with value (4 62)
% 6.45/6.65  ;  3194 with value (4 34)          3 with value (4 46)           1 with value (4 63)
% 6.45/6.65  Evaluation took:
% 6.45/6.65    6.172 seconds of real time
% 6.45/6.65    5.862681 seconds of user run time
% 6.45/6.65    0.308628 seconds of system run time
% 6.45/6.65    [Run times include 1.222 seconds GC run time.]
% 6.45/6.65    0 calls to %EVAL
% 6.45/6.65    0 page faults and
% 6.45/6.65    366,457,944 bytes consed.
% 6.45/6.65  :PROOF-FOUND
% 6.45/6.65  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-02T23:44:11
% 6.45/6.65  :PROOF-FOUND
% 6.45/6.65  * 
%------------------------------------------------------------------------------