TSTP Solution File: LCL190-3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL190-3 : 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 14:20:56 EDT 2022

% Result   : Unsatisfiable 0.44s 0.61s
% Output   : Refutation 0.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    8 (   6 unt;   0 nHn;   4 RR)
%            Number of literals    :   11 (   0 equ;   4 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   13 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_1_4,axiom,
    axiom(implies(or(X,Y),or(Y,X))),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_4) ).

cnf(axiom_1_6,axiom,
    axiom(implies(implies(X,Y),implies(or(Z,X),or(Z,Y)))),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_6) ).

cnf(rule_1,axiom,
    ( theorem(X)
    | ~ axiom(X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',rule_1) ).

cnf(rule_2,axiom,
    ( theorem(X)
    | ~ theorem(implies(Y,X))
    | ~ theorem(Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',rule_2) ).

cnf(prove_this,negated_conjecture,
    ~ theorem(implies(or(p,or(q,r)),or(p,or(r,q)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(12,plain,
    theorem(implies(or(X,Y),or(Y,X))),
    inference('HYPERRESOLVE',[status(thm)],[rule_1,axiom_1_4]) ).

cnf(20,plain,
    theorem(implies(implies(X,Y),implies(or(Z,X),or(Z,Y)))),
    inference('HYPERRESOLVE',[status(thm)],[rule_1,axiom_1_6]) ).

cnf(526,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[rule_2,20,prove_this,12]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : LCL190-3 : TPTP v8.1.0. Released v2.3.0.
% 0.07/0.14  % Command  : run-snark %s %d
% 0.14/0.35  % Computer : n008.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Sun Jul  3 18:39:38 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.20/0.48  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.49  * 
% 0.20/0.49  * 
% 0.20/0.49  #<PACKAGE "SNARK-USER">
% 0.20/0.49  * 
% 0.20/0.49  SNARK-TPTP-OPTIONS
% 0.20/0.49  * 
% 0.20/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49   (USE-FACTORING :POS)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49  * 
% 0.20/0.49  "."
% 0.20/0.49  * 
% 0.20/0.49  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-03T18:39:38
% 0.20/0.50  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-07-03T18:39:38
% 0.44/0.61  
% 0.44/0.61  
% 0.44/0.61  #||
% 0.44/0.61  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.44/0.61  % SZS output start Refutation
% See solution above
% 0.44/0.61  ||#
% 0.44/0.61  
% 0.44/0.61  ; Summary of computation:
% 0.44/0.61  ;       938 formulas have been input or derived (from 70 formulas).
% 0.44/0.61  ;       526 (56%) were retained.  Of these,
% 0.44/0.61  ;          526 (100%) are still being kept.
% 0.44/0.61  ; 
% 0.44/0.61  ; Run time in seconds:
% 0.44/0.61  ;     0.002   2%   Read assertion file          (1 call)
% 0.44/0.61  ;     0.001   1%   Assert                       (9 calls)
% 0.44/0.61  ;     0.045  38%   Process new row              (793 calls)
% 0.44/0.61  ;     0.018  15%   Resolution                   (138 calls)
% 0.44/0.61  ;     0.001   1%   Paramodulation               (69 calls)
% 0.44/0.61  ;     0.000   0%   Condensing                   (2 calls)
% 0.44/0.61  ;     0.000   0%   Forward subsumption          (2 calls)
% 0.44/0.61  ;     0.000   0%   Backward subsumption         (2 calls)
% 0.44/0.61  ;     0.009   8%   Forward simplification       (793 calls)
% 0.44/0.61  ;     0.013  11%   Backward simplification      (526 calls)
% 0.44/0.61  ;     0.000   0%   Ordering                     (46 calls)
% 0.44/0.61  ;     0.001   1%   Sortal reasoning             (32 calls)
% 0.44/0.61  ;     0.000   0%   Purity testing               (1 call)
% 0.44/0.61  ;     0.029  24%   Other
% 0.44/0.61  ;     0.119        Total
% 0.44/0.61  ;     0.120        Real time
% 0.44/0.61  ; 
% 0.44/0.61  ; Term-hash-array has 1,146 terms in all.
% 0.44/0.61  ; Feature-vector-row-index has 2 entries (2 at peak, 2 added, 0 deleted).
% 0.44/0.61  ; Feature-vector-row-index has 6 nodes (6 at peak, 6 added, 0 deleted).
% 0.44/0.61  ;  Retrieved 0 possibly forward subsuming rows in 2 calls.
% 0.44/0.61  ;  Retrieved 0 possibly backward subsumed rows in 2 calls.
% 0.44/0.61  ; Path-index has 1,149 entries (1,149 at peak, 1,149 added, 0 deleted).
% 0.44/0.61  ; Path-index has 1,917 nodes (1,917 at peak, 1,917 added, 0 deleted).
% 0.44/0.61  ; Trie-index has 1,149 entries (1,149 at peak, 1,149 added, 0 deleted).
% 0.44/0.61  ; Trie-index has 4,015 nodes (4,015 at peak, 4,015 added, 0 deleted).
% 0.44/0.61  ; Retrieved 1,352 generalization terms in 2,122 calls.
% 0.44/0.61  ; Retrieved 574 instance terms in 523 calls.
% 0.44/0.61  ; Retrieved 7,294 unifiable terms in 877 calls.
% 0.44/0.61  ; 
% 0.44/0.61  ; The agenda of rows to process has 58 entries:
% 0.44/0.61  ;     7 with value 13             12 with value 21               3 with value 27
% 0.44/0.61  ;     4 with value 16              4 with value 22               5 with value 28
% 0.44/0.61  ;     1 with value 17              6 with value 23               2 with value 29
% 0.44/0.61  ;     1 with value 18              2 with value 25               2 with value 31
% 0.44/0.61  ;     6 with value 20              2 with value 26               1 with value 37
% 0.44/0.61  ; The agenda of rows to give has 456 entries:
% 0.44/0.61  ;    13 with value (4 17)         53 with value (4 23)          20 with value (4 29)
% 0.44/0.61  ;    22 with value (4 18)         75 with value (4 24)           6 with value (4 30)
% 0.44/0.61  ;    28 with value (4 19)         49 with value (4 25)           6 with value (4 31)
% 0.44/0.61  ;    26 with value (4 20)         21 with value (4 26)           1 with value (4 33)
% 0.44/0.61  ;    50 with value (4 21)         17 with value (4 27)           1 with value (4 37)
% 0.44/0.61  ;    52 with value (4 22)         16 with value (4 28)
% 0.44/0.61  Evaluation took:
% 0.44/0.61    0.12 seconds of real time
% 0.44/0.61    0.103788 seconds of user run time
% 0.44/0.61    0.016163 seconds of system run time
% 0.44/0.61    0 calls to %EVAL
% 0.44/0.61    0 page faults and
% 0.44/0.61    7,074,488 bytes consed.
% 0.44/0.61  :PROOF-FOUND
% 0.44/0.61  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-03T18:39:38
% 0.44/0.62  :PROOF-FOUND
% 0.44/0.62  * 
%------------------------------------------------------------------------------