TSTP Solution File: LCL194-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL194-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n015.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 14:20:58 EDT 2022

% Result   : Unsatisfiable 6.55s 6.80s
% Output   : Refutation 6.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   11 (   8 unt;   0 nHn;   6 RR)
%            Number of literals    :   16 (   0 equ;   7 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    6 (   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   :   20 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
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(axiom_1_6,axiom,
    axiom(or(not(or(not(X),Y)),or(not(or(Z,X)),or(Z,Y)))),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',axiom_1_6) ).

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(or(not(q),r)),or(not(or(q,p)),or(p,r)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(14,plain,
    theorem(or(not(or(not(X),Y)),or(not(or(Z,X)),or(Z,Y)))),
    inference('HYPERRESOLVE',[status(thm)],[rule_1,axiom_1_6]) ).

cnf(18,plain,
    ~ theorem(or(not(or(q,p)),or(not(or(not(q),r)),or(p,r)))),
    inference('UR-RESOLVE',[status(thm)],[rule_2,prove_this,axiom_1_5]) ).

cnf(13498,plain,
    theorem(or(not(or(X,Y)),or(not(or(not(Y),Z)),or(X,Z)))),
    inference('HYPERRESOLVE',[status(thm)],[rule_2,14,axiom_1_5]) ).

cnf(26543,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[rule_3,18,axiom_1_4]),13498]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL194-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n015.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 : Mon Jul  4 01:16:01 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.19/0.47  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.48  * 
% 0.19/0.48  * 
% 0.19/0.49  #<PACKAGE "SNARK-USER">
% 0.19/0.49  * 
% 0.19/0.49  SNARK-TPTP-OPTIONS
% 0.19/0.49  * 
% 0.19/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.49   (USE-FACTORING :POS)
% 0.19/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.49  * 
% 0.19/0.49  "."
% 0.19/0.49  * 
% 0.19/0.49  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-04T01:16:01
% 0.19/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-07-04T01:16:01
% 6.55/6.80  
% 6.55/6.80  
% 6.55/6.80  #||
% 6.55/6.80  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.55/6.80  % SZS output start Refutation
% See solution above
% 6.55/6.80  ||#
% 6.55/6.80  
% 6.55/6.80  ; Summary of computation:
% 6.55/6.80  ;     29299 formulas have been input or derived (from 582 formulas).
% 6.55/6.80  ;     26543 (91%) were retained.  Of these,
% 6.55/6.80  ;          701 ( 3%) were simplified or subsumed later,
% 6.55/6.80  ;        25842 (97%) are still being kept.
% 6.55/6.80  ; 
% 6.55/6.80  ; Run time in seconds excluding printing time:
% 6.55/6.80  ;     0.003   0%   Read assertion file          (1 call)
% 6.55/6.80  ;     0.000   0%   Assert                       (9 calls)
% 6.55/6.80  ;     2.830  45%   Process new row              (28,089 calls)
% 6.55/6.80  ;     1.202  19%   Resolution                   (1,162 calls)
% 6.55/6.80  ;     0.260   4%   Paramodulation               (581 calls)
% 6.55/6.80  ;     0.000   0%   Condensing                   (3 calls)
% 6.55/6.80  ;     0.000   0%   Forward subsumption          (3 calls)
% 6.55/6.80  ;     0.000   0%   Backward subsumption         (3 calls)
% 6.55/6.80  ;     0.000   0%   Clause clause subsumption    (3 calls)
% 6.55/6.80  ;     0.688  11%   Forward simplification       (28,089 calls)
% 6.55/6.80  ;     1.185  19%   Backward simplification      (26,543 calls)
% 6.55/6.80  ;     0.000   0%   Sortal reasoning             (32 calls)
% 6.55/6.80  ;     0.000   0%   Purity testing               (1 call)
% 6.55/6.80  ;     0.144   2%   Other
% 6.55/6.80  ;     6.312        Total
% 6.55/6.80  ;     6.314        Real time
% 6.55/6.80  ; 
% 6.55/6.80  ; Term-hash-array has 54,772 terms in all.
% 6.55/6.80  ; Feature-vector-row-index has 3 entries (3 at peak, 3 added, 0 deleted).
% 6.55/6.80  ; Feature-vector-row-index has 15 nodes (15 at peak, 15 added, 0 deleted).
% 6.55/6.80  ;  Retrieved 3 possibly forward subsuming rows in 3 calls.
% 6.55/6.80  ;  Retrieved 0 possibly backward subsumed rows in 3 calls.
% 6.55/6.80  ; Path-index has 53,392 entries (53,392 at peak, 54,777 added, 1,385 deleted).
% 6.55/6.80  ; Path-index has 4,158 nodes (4,158 at peak, 4,168 added, 10 deleted).
% 6.55/6.80  ; Trie-index has 53,392 entries (53,392 at peak, 54,777 added, 1,385 deleted).
% 6.55/6.80  ; Trie-index has 105,545 nodes (105,545 at peak, 107,059 added, 1,514 deleted).
% 6.55/6.80  ; Retrieved 254,698 generalization terms in 28,151 calls.
% 6.55/6.80  ; Retrieved 60,035 instance terms in 26,539 calls.
% 6.55/6.80  ; Retrieved 141,333 unifiable terms in 21,300 calls.
% 6.55/6.80  ; 
% 6.55/6.80  ; The agenda of rows to process has 267 entries:
% 6.55/6.80  ;     2 with value 23              2 with value 31              54 with value 39
% 6.55/6.80  ;     4 with value 24              3 with value 32              84 with value 40
% 6.55/6.80  ;     5 with value 25              4 with value 33               6 with value 41
% 6.55/6.80  ;     1 with value 26              5 with value 34               1 with value 48
% 6.55/6.80  ;     1 with value 27              9 with value 35               1 with value 49
% 6.55/6.80  ;     1 with value 28             15 with value 36               1 with value 56
% 6.55/6.80  ;     1 with value 29             25 with value 37               1 with value 58
% 6.55/6.80  ;     2 with value 30             38 with value 38               1 with value 59
% 6.55/6.80  ; The agenda of rows to give has 25279 entries:
% 6.55/6.80  ;     1 with value (4 15)       1866 with value (4 31)           6 with value (4 43)
% 6.55/6.80  ;     1 with value (4 17)       2550 with value (4 32)           2 with value (4 44)
% 6.55/6.80  ;     1 with value (4 19)       3327 with value (4 33)           4 with value (4 45)
% 6.55/6.80  ;   209 with value (4 22)       3435 with value (4 34)           3 with value (4 46)
% 6.55/6.80  ;   217 with value (4 23)       3110 with value (4 35)           1 with value (4 48)
% 6.55/6.80  ;   252 with value (4 24)       3109 with value (4 36)           1 with value (4 50)
% 6.55/6.80  ;   385 with value (4 25)       1240 with value (4 37)           3 with value (4 52)
% 6.55/6.80  ;   463 with value (4 26)        541 with value (4 38)           1 with value (4 53)
% 6.55/6.80  ;   639 with value (4 27)        266 with value (4 39)           2 with value (4 54)
% 6.55/6.80  ;   758 with value (4 28)        273 with value (4 40)           2 with value (4 55)
% 6.55/6.80  ;  1206 with value (4 29)          3 with value (4 41)           1 with value (4 60)
% 6.55/6.80  ;  1398 with value (4 30)          2 with value (4 42)           1 with value (4 62)
% 6.55/6.80  Evaluation took:
% 6.55/6.80    6.316 seconds of real time
% 6.55/6.80    5.956311 seconds of user run time
% 6.55/6.80    0.359319 seconds of system run time
% 6.55/6.80    [Run times include 1.283 seconds GC run time.]
% 6.55/6.80    0 calls to %EVAL
% 6.55/6.80    0 page faults and
% 6.55/6.80    388,018,096 bytes consed.
% 6.55/6.80  :PROOF-FOUND
% 6.55/6.80  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-04T01:16:07
% 6.55/6.80  :PROOF-FOUND
% 6.55/6.80  * 
%------------------------------------------------------------------------------