TSTP Solution File: LCL193-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL193-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n020.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 2.92s 3.17s
% Output   : Refutation 2.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of clauses     :    9 (   6 unt;   0 nHn;   5 RR)
%            Number of literals    :   14 (   0 equ;   6 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   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   :   16 (   0 sgn)

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

cnf(axiom_1_6,axiom,
    axiom(or(not(or(not(X),Y)),or(not(or(Z,X)),or(Z,Y)))),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL003-0.ax',axiom_1_6) ).

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

cnf(rule_2,axiom,
    ( theorem(X)
    | ~ axiom(or(not(Y),X))
    | ~ theorem(Y) ),
    file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/LCL003-0.ax',rule_3) ).

cnf(prove_this,negated_conjecture,
    ~ theorem(or(not(or(not(q),r)),or(not(or(p,q)),or(r,p)))),
    file('/export/starexec/sandbox/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(73,plain,
    theorem(or(not(or(X,or(Y,Z))),or(X,or(Z,Y)))),
    inference('HYPERRESOLVE',[status(thm)],[rule_2,12,axiom_1_6]) ).

cnf(7066,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[rule_3,73,prove_this,axiom_1_6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : LCL193-1 : TPTP v8.1.0. Released v1.1.0.
% 0.08/0.14  % Command  : run-snark %s %d
% 0.13/0.36  % Computer : n020.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit : 300
% 0.13/0.36  % WCLimit  : 600
% 0.13/0.36  % DateTime : Mon Jul  4 10:51:29 EDT 2022
% 0.13/0.36  % CPUTime  : 
% 0.21/0.50  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.51  * 
% 0.21/0.51  * 
% 0.21/0.52  #<PACKAGE "SNARK-USER">
% 0.21/0.52  * 
% 0.21/0.52  SNARK-TPTP-OPTIONS
% 0.21/0.52  * 
% 0.21/0.52  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.52   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.52   (USE-FACTORING :POS)
% 0.21/0.52   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.52   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.52   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.52   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.52   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.52   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.52   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.52   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.52   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.52   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.52  * 
% 0.21/0.52  "."
% 0.21/0.52  * 
% 0.21/0.52  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T10:51:30
% 0.21/0.52  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-07-04T10:51:30
% 2.92/3.17  
% 2.92/3.17  
% 2.92/3.17  #||
% 2.92/3.17  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.92/3.17  % SZS output start Refutation
% See solution above
% 2.92/3.17  ||#
% 2.92/3.17  
% 2.92/3.17  ; Summary of computation:
% 2.92/3.17  ;      8264 formulas have been input or derived (from 264 formulas).
% 2.92/3.17  ;      7066 (86%) were retained.  Of these,
% 2.92/3.17  ;         7066 (100%) are still being kept.
% 2.92/3.17  ; 
% 2.92/3.17  ; Run time in seconds excluding printing time:
% 2.92/3.17  ;     0.005   0%   Read assertion file          (1 call)
% 2.92/3.17  ;     0.000   0%   Assert                       (9 calls)
% 2.92/3.17  ;     1.195  45%   Process new row              (7,785 calls)
% 2.92/3.17  ;     0.382  15%   Resolution                   (526 calls)
% 2.92/3.17  ;     0.165   6%   Paramodulation               (263 calls)
% 2.92/3.17  ;     0.000   0%   Condensing                   (3 calls)
% 2.92/3.17  ;     0.000   0%   Forward subsumption          (3 calls)
% 2.92/3.17  ;     0.000   0%   Backward subsumption         (3 calls)
% 2.92/3.17  ;     0.000   0%   Clause clause subsumption    (3 calls)
% 2.92/3.17  ;     0.321  12%   Forward simplification       (7,785 calls)
% 2.92/3.17  ;     0.460  17%   Backward simplification      (7,066 calls)
% 2.92/3.17  ;     0.000   0%   Sortal reasoning             (32 calls)
% 2.92/3.17  ;     0.000   0%   Purity testing               (1 call)
% 2.92/3.17  ;     0.104   4%   Other
% 2.92/3.17  ;     2.632        Total
% 2.92/3.17  ;     2.648        Real time
% 2.92/3.17  ; 
% 2.92/3.17  ; Term-hash-array has 14,840 terms in all.
% 2.92/3.17  ; Feature-vector-row-index has 3 entries (3 at peak, 3 added, 0 deleted).
% 2.92/3.17  ; Feature-vector-row-index has 15 nodes (15 at peak, 15 added, 0 deleted).
% 2.92/3.17  ;  Retrieved 3 possibly forward subsuming rows in 3 calls.
% 2.92/3.17  ;  Retrieved 0 possibly backward subsumed rows in 3 calls.
% 2.92/3.17  ; Path-index has 14,843 entries (14,843 at peak, 14,843 added, 0 deleted).
% 2.92/3.17  ; Path-index has 2,409 nodes (2,409 at peak, 2,409 added, 0 deleted).
% 2.92/3.17  ; Trie-index has 14,843 entries (14,843 at peak, 14,843 added, 0 deleted).
% 2.92/3.17  ; Trie-index has 27,894 nodes (27,894 at peak, 27,894 added, 0 deleted).
% 2.92/3.17  ; Retrieved 57,156 generalization terms in 7,818 calls.
% 2.92/3.17  ; Retrieved 13,786 instance terms in 7,062 calls.
% 2.92/3.17  ; Retrieved 39,454 unifiable terms in 6,805 calls.
% 2.92/3.17  ; 
% 2.92/3.17  ; The agenda of rows to process has 71 entries:
% 2.92/3.17  ;     1 with value 18              1 with value 27               9 with value 33
% 2.92/3.17  ;     6 with value 21              3 with value 28               8 with value 34
% 2.92/3.17  ;     1 with value 22              1 with value 29               9 with value 35
% 2.92/3.17  ;     2 with value 23              2 with value 30              16 with value 36
% 2.92/3.17  ;     1 with value 24              2 with value 31               6 with value 37
% 2.92/3.17  ;     1 with value 26              1 with value 32               1 with value 39
% 2.92/3.17  ; The agenda of rows to give has 6802 entries:
% 2.92/3.17  ;    93 with value (4 20)        418 with value (4 28)          75 with value (4 36)
% 2.92/3.17  ;    75 with value (4 21)        612 with value (4 29)          50 with value (4 37)
% 2.92/3.17  ;    95 with value (4 22)        739 with value (4 30)          32 with value (4 38)
% 2.92/3.17  ;   156 with value (4 23)       1037 with value (4 31)           5 with value (4 39)
% 2.92/3.17  ;   157 with value (4 24)       1055 with value (4 32)           2 with value (4 43)
% 2.92/3.17  ;   232 with value (4 25)        680 with value (4 33)           1 with value (4 48)
% 2.92/3.17  ;   295 with value (4 26)        495 with value (4 34)           1 with value (4 52)
% 2.92/3.17  ;   334 with value (4 27)        162 with value (4 35)           1 with value (4 60)
% 2.92/3.17  Evaluation took:
% 2.92/3.17    2.65 seconds of real time
% 2.92/3.17    2.524181 seconds of user run time
% 2.92/3.17    0.111725 seconds of system run time
% 2.92/3.17    [Run times include 0.358 seconds GC run time.]
% 2.92/3.17    0 calls to %EVAL
% 2.92/3.17    0 page faults and
% 2.92/3.17    91,841,656 bytes consed.
% 2.92/3.17  :PROOF-FOUND
% 2.92/3.17  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T10:51:32
% 2.92/3.17  :PROOF-FOUND
% 2.92/3.17  * 
%------------------------------------------------------------------------------