TSTP Solution File: LCL187-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL187-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n004.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 14:20:54 EDT 2022

% Result   : Unsatisfiable 0.19s 0.52s
% Output   : Refutation 0.19s
% 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    :    5 (   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   :   17 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_1_3,axiom,
    axiom(or(not(X),or(Y,X))),
    file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/LCL003-0.ax',axiom_1_5) ).

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

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

cnf(116,plain,
    $false,
    inference('REWRITE',[status(thm)],[17,115]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL187-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n004.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % 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 : Sun Jul  3 20:15:53 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47  * 
% 0.19/0.47  * 
% 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/sandbox/benchmark/theBenchmark.p 2022-07-03T20:15:53
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-07-03T20:15:53
% 0.19/0.52  
% 0.19/0.52  
% 0.19/0.52  #||
% 0.19/0.52  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.52  % SZS output start Refutation
% See solution above
% 0.19/0.52  ||#
% 0.19/0.52  
% 0.19/0.52  ; Summary of computation:
% 0.19/0.52  ;       223 formulas have been input or derived (from 29 formulas).
% 0.19/0.52  ;       116 (52%) were retained.  Of these,
% 0.19/0.52  ;            1 ( 1%) were simplified or subsumed later,
% 0.19/0.52  ;          115 (99%) are still being kept.
% 0.19/0.52  ; 
% 0.19/0.52  ; Run time in seconds excluding printing time:
% 0.19/0.52  ;     0.003   7%   Read assertion file          (1 call)
% 0.19/0.52  ;     0.000   0%   Assert                       (9 calls)
% 0.19/0.52  ;     0.011  24%   Process new row              (165 calls)
% 0.19/0.52  ;     0.006  13%   Resolution                   (56 calls)
% 0.19/0.52  ;     0.000   0%   Paramodulation               (28 calls)
% 0.19/0.52  ;     0.000   0%   Condensing                   (3 calls)
% 0.19/0.52  ;     0.000   0%   Forward subsumption          (3 calls)
% 0.19/0.52  ;     0.000   0%   Backward subsumption         (3 calls)
% 0.19/0.52  ;     0.000   0%   Clause clause subsumption    (3 calls)
% 0.19/0.52  ;     0.004   9%   Forward simplification       (165 calls)
% 0.19/0.52  ;     0.001   2%   Backward simplification      (116 calls)
% 0.19/0.52  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.52  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.52  ;     0.021  46%   Other
% 0.19/0.52  ;     0.046        Total
% 0.19/0.52  ;     0.047        Real time
% 0.19/0.52  ; 
% 0.19/0.52  ; Term-hash-array has 303 terms in all.
% 0.19/0.52  ; Feature-vector-row-index has 3 entries (3 at peak, 3 added, 0 deleted).
% 0.19/0.52  ; Feature-vector-row-index has 15 nodes (15 at peak, 15 added, 0 deleted).
% 0.19/0.52  ;  Retrieved 3 possibly forward subsuming rows in 3 calls.
% 0.19/0.52  ;  Retrieved 0 possibly backward subsumed rows in 3 calls.
% 0.19/0.52  ; Path-index has 303 entries (305 at peak, 305 added, 2 deleted).
% 0.19/0.52  ; Path-index has 576 nodes (576 at peak, 576 added, 0 deleted).
% 0.19/0.52  ; Trie-index has 303 entries (305 at peak, 305 added, 2 deleted).
% 0.19/0.52  ; Trie-index has 1,062 nodes (1,069 at peak, 1,069 added, 7 deleted).
% 0.19/0.52  ; Retrieved 401 generalization terms in 167 calls.
% 0.19/0.52  ; Retrieved 190 instance terms in 112 calls.
% 0.19/0.52  ; Retrieved 919 unifiable terms in 331 calls.
% 0.19/0.52  ; 
% 0.19/0.52  ; The agenda of rows to process has 21 entries:
% 0.19/0.52  ;     4 with value 15              6 with value 20               3 with value 24
% 0.19/0.52  ;     3 with value 16              1 with value 21               1 with value 25
% 0.19/0.52  ;     1 with value 18              1 with value 22               1 with value 27
% 0.19/0.52  ; The agenda of rows to give has 86 entries:
% 0.19/0.52  ;     1 with value (4 12)          9 with value (4 19)           7 with value (4 25)
% 0.19/0.52  ;     2 with value (4 14)          6 with value (4 20)           3 with value (4 26)
% 0.19/0.52  ;     8 with value (4 15)         10 with value (4 21)           1 with value (4 28)
% 0.19/0.52  ;     4 with value (4 16)         11 with value (4 22)           1 with value (4 32)
% 0.19/0.52  ;     8 with value (4 17)          8 with value (4 23)           1 with value (4 38)
% 0.19/0.52  ;     5 with value (4 18)          1 with value (4 24)
% 0.19/0.52  Evaluation took:
% 0.19/0.52    0.049 seconds of real time
% 0.19/0.52    0.041169 seconds of user run time
% 0.19/0.52    0.007027 seconds of system run time
% 0.19/0.52    0 calls to %EVAL
% 0.19/0.52    0 page faults and
% 0.19/0.52    3,127,904 bytes consed.
% 0.19/0.52  :PROOF-FOUND
% 0.19/0.52  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T20:15:53
% 0.19/0.52  :PROOF-FOUND
% 0.19/0.52  * 
%------------------------------------------------------------------------------