TSTP Solution File: LCL321-3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL321-3 : TPTP v8.1.0. Released v2.3.0.
% 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 14:22:08 EDT 2022

% Result   : Unsatisfiable 0.52s 0.69s
% Output   : Refutation 0.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   15 (  13 unt;   0 nHn;   4 RR)
%            Number of literals    :   18 (   1 equ;   4 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   28 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_1_3,axiom,
    axiom(implies(X,or(Y,X))),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_3) ).

cnf(axiom_1_4,axiom,
    axiom(implies(or(X,Y),or(Y,X))),
    file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_6) ).

cnf(implies_definition,axiom,
    implies(X,Y) = or(not(X),Y),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',implies_definition) ).

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

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

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

cnf(11,plain,
    theorem(implies(X,or(Y,X))),
    inference('HYPERRESOLVE',[status(thm)],[rule_1,axiom_1_3]) ).

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

cnf(21,plain,
    theorem(implies(implies(X,Y),implies(or(Z,X),or(Z,Y)))),
    inference('HYPERRESOLVE',[status(thm)],[rule_1,axiom_1_6]) ).

cnf(27,plain,
    theorem(implies(X,implies(Y,X))),
    inference('PARAMODULATE',[status(thm)],[11,implies_definition,theory(equality)]) ).

cnf(48,plain,
    theorem(implies(implies(X,Y),or(Y,not(X)))),
    inference('PARAMODULATE',[status(thm)],[12,implies_definition,theory(equality)]) ).

cnf(162,plain,
    theorem(or(implies(X,Y),not(Y))),
    inference('HYPERRESOLVE',[status(thm)],[rule_2,48,27]) ).

cnf(448,plain,
    theorem(implies(or(X,Y),or(X,implies(Z,Y)))),
    inference('HYPERRESOLVE',[status(thm)],[rule_2,21,27]) ).

cnf(1065,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[rule_2,448,prove_this,162]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL321-3 : TPTP v8.1.0. Released v2.3.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n004.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 : Sun Jul  3 18:52:08 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.19/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47  * 
% 0.19/0.47  * 
% 0.19/0.48  #<PACKAGE "SNARK-USER">
% 0.19/0.48  * 
% 0.19/0.48  SNARK-TPTP-OPTIONS
% 0.19/0.48  * 
% 0.19/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48   (USE-FACTORING :POS)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48  * 
% 0.19/0.48  "."
% 0.19/0.48  * 
% 0.19/0.48  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T18:52:08
% 0.19/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-07-03T18:52:08
% 0.52/0.69  
% 0.52/0.69  
% 0.52/0.69  #||
% 0.52/0.69  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.52/0.69  % SZS output start Refutation
% See solution above
% 0.52/0.69  ||#
% 0.52/0.69  
% 0.52/0.69  ; Summary of computation:
% 0.52/0.69  ;      1948 formulas have been input or derived (from 90 formulas).
% 0.52/0.69  ;      1065 (55%) were retained.  Of these,
% 0.52/0.69  ;         1065 (100%) are still being kept.
% 0.52/0.69  ; 
% 0.52/0.69  ; Run time in seconds excluding printing time:
% 0.52/0.69  ;     0.002   1%   Read assertion file          (1 call)
% 0.52/0.69  ;     0.000   0%   Assert                       (9 calls)
% 0.52/0.69  ;     0.096  45%   Process new row              (1,568 calls)
% 0.52/0.69  ;     0.031  15%   Resolution                   (178 calls)
% 0.52/0.69  ;     0.001   0%   Paramodulation               (89 calls)
% 0.52/0.69  ;     0.000   0%   Condensing                   (2 calls)
% 0.52/0.69  ;     0.000   0%   Forward subsumption          (2 calls)
% 0.52/0.69  ;     0.000   0%   Backward subsumption         (2 calls)
% 0.52/0.69  ;     0.033  16%   Forward simplification       (1,568 calls)
% 0.52/0.69  ;     0.020   9%   Backward simplification      (1,065 calls)
% 0.52/0.69  ;     0.000   0%   Ordering                     (67 calls)
% 0.52/0.69  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.52/0.69  ;     0.000   0%   Purity testing               (1 call)
% 0.52/0.69  ;     0.028  13%   Other
% 0.52/0.69  ;     0.211        Total
% 0.52/0.69  ;     0.212        Real time
% 0.52/0.69  ; 
% 0.52/0.69  ; Term-hash-array has 2,306 terms in all.
% 0.52/0.69  ; Feature-vector-row-index has 2 entries (2 at peak, 2 added, 0 deleted).
% 0.52/0.69  ; Feature-vector-row-index has 6 nodes (6 at peak, 6 added, 0 deleted).
% 0.52/0.69  ;  Retrieved 0 possibly forward subsuming rows in 2 calls.
% 0.52/0.69  ;  Retrieved 0 possibly backward subsumed rows in 2 calls.
% 0.52/0.69  ; Path-index has 2,308 entries (2,308 at peak, 2,308 added, 0 deleted).
% 0.52/0.70  ; Path-index has 2,511 nodes (2,511 at peak, 2,511 added, 0 deleted).
% 0.52/0.70  ; Trie-index has 2,308 entries (2,308 at peak, 2,308 added, 0 deleted).
% 0.52/0.70  ; Trie-index has 8,113 nodes (8,113 at peak, 8,113 added, 0 deleted).
% 0.52/0.70  ; Retrieved 3,205 generalization terms in 4,014 calls.
% 0.52/0.70  ; Retrieved 1,198 instance terms in 1,062 calls.
% 0.52/0.70  ; Retrieved 18,559 unifiable terms in 1,342 calls.
% 0.52/0.70  ; 
% 0.52/0.70  ; The agenda of rows to process has 81 entries:
% 0.52/0.70  ;     6 with value 13             12 with value 19               3 with value 25
% 0.52/0.70  ;     3 with value 14              4 with value 20               1 with value 26
% 0.52/0.70  ;     7 with value 15             12 with value 21               5 with value 28
% 0.52/0.70  ;     1 with value 16              2 with value 22               8 with value 29
% 0.52/0.70  ;     4 with value 17              3 with value 23               1 with value 30
% 0.52/0.70  ;     6 with value 18              2 with value 24               1 with value 33
% 0.52/0.70  ; The agenda of rows to give has 975 entries:
% 0.52/0.70  ;     7 with value (4 17)         77 with value (4 23)          80 with value (4 29)
% 0.52/0.70  ;    40 with value (4 18)         73 with value (4 24)          15 with value (4 30)
% 0.52/0.70  ;    35 with value (4 19)         84 with value (4 25)          19 with value (4 31)
% 0.52/0.70  ;    60 with value (4 20)         84 with value (4 26)           6 with value (4 32)
% 0.52/0.70  ;    71 with value (4 21)        135 with value (4 27)           7 with value (4 33)
% 0.52/0.70  ;    64 with value (4 22)        116 with value (4 28)           2 with value (4 37)
% 0.52/0.70  Evaluation took:
% 0.52/0.70    0.213 seconds of real time
% 0.52/0.70    0.191689 seconds of user run time
% 0.52/0.70    0.020856 seconds of system run time
% 0.52/0.70    [Run times include 0.013 seconds GC run time.]
% 0.52/0.70    0 calls to %EVAL
% 0.52/0.70    0 page faults and
% 0.52/0.70    13,966,528 bytes consed.
% 0.52/0.70  :PROOF-FOUND
% 0.52/0.70  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T18:52:08
% 0.52/0.70  :PROOF-FOUND
% 0.52/0.70  * 
%------------------------------------------------------------------------------