TSTP Solution File: LCL226-3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL226-3 : TPTP v8.1.0. Released v2.3.0.
% 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 14:21:24 EDT 2022

% Result   : Unsatisfiable 5.97s 6.19s
% Output   : Refutation 5.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   12 (  10 unt;   0 nHn;   5 RR)
%            Number of literals    :   15 (   1 equ;   5 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   23 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_1_5,axiom,
    axiom(implies(or(X,or(Y,Z)),or(Y,or(X,Z)))),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_5) ).

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(implies_definition,axiom,
    implies(X,Y) = or(not(X),Y),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',implies_definition) ).

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

cnf(10,plain,
    ~ theorem(implies(or(q,r),implies(implies(r,s),or(q,s)))),
    inference('REWRITE',[status(thm)],[prove_this,implies_definition,theory(equality)]) ).

cnf(18,plain,
    theorem(implies(or(X,or(Y,Z)),or(Y,or(X,Z)))),
    inference('HYPERRESOLVE',[status(thm)],[rule_1,axiom_1_5]) ).

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(331,plain,
    theorem(implies(or(X,implies(Y,Z)),implies(Y,or(X,Z)))),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[18,implies_definition,theory(equality)]),implies_definition,theory(equality)]) ).

cnf(3275,plain,
    theorem(implies(implies(X,implies(Y,Z)),implies(Y,implies(X,Z)))),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[331,implies_definition,theory(equality)]),implies_definition,theory(equality)]) ).

cnf(23774,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[rule_2,3275,10,21]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : LCL226-3 : TPTP v8.1.0. Released v2.3.0.
% 0.10/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n015.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Sun Jul  3 21:40:46 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.21/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.47  * 
% 0.21/0.47  * 
% 0.21/0.48  #<PACKAGE "SNARK-USER">
% 0.21/0.48  * 
% 0.21/0.48  SNARK-TPTP-OPTIONS
% 0.21/0.48  * 
% 0.21/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48   (USE-FACTORING :POS)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48  * 
% 0.21/0.48  "."
% 0.21/0.48  * 
% 0.21/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-03T21:40:46
% 0.21/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-07-03T21:40:46
% 5.97/6.19  
% 5.97/6.19  
% 5.97/6.19  #||
% 5.97/6.19  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.97/6.19  % SZS output start Refutation
% See solution above
% 5.97/6.19  ||#
% 5.97/6.19  
% 5.97/6.19  ; Summary of computation:
% 5.97/6.19  ;     38869 formulas have been input or derived (from 371 formulas).
% 5.97/6.19  ;     23774 (61%) were retained.  Of these,
% 5.97/6.19  ;            2 ( 0%) were simplified or subsumed later,
% 5.97/6.19  ;        23772 (100%) are still being kept.
% 5.97/6.19  ; 
% 5.97/6.19  ; Run time in seconds excluding printing time:
% 5.97/6.19  ;     0.002   0%   Read assertion file          (1 call)
% 5.97/6.19  ;     0.001   0%   Assert                       (9 calls)
% 5.97/6.19  ;     2.040  36%   Process new row              (33,562 calls)
% 5.97/6.19  ;     1.827  32%   Resolution                   (740 calls)
% 5.97/6.19  ;     0.105   2%   Paramodulation               (370 calls)
% 5.97/6.19  ;     0.000   0%   Condensing                   (2 calls)
% 5.97/6.19  ;     0.000   0%   Forward subsumption          (2 calls)
% 5.97/6.19  ;     0.000   0%   Backward subsumption         (2 calls)
% 5.97/6.19  ;     0.838  15%   Forward simplification       (33,562 calls)
% 5.97/6.19  ;     0.766  13%   Backward simplification      (23,773 calls)
% 5.97/6.19  ;     0.002   0%   Ordering                     (251 calls)
% 5.97/6.19  ;     0.000   0%   Sortal reasoning             (32 calls)
% 5.97/6.19  ;     0.000   0%   Purity testing               (1 call)
% 5.97/6.19  ;     0.131   2%   Other
% 5.97/6.19  ;     5.712        Total
% 5.97/6.19  ;     5.714        Real time
% 5.97/6.19  ; 
% 5.97/6.19  ; Term-hash-array has 49,783 terms in all.
% 5.97/6.19  ; Feature-vector-row-index has 2 entries (2 at peak, 2 added, 0 deleted).
% 5.97/6.19  ; Feature-vector-row-index has 6 nodes (6 at peak, 6 added, 0 deleted).
% 5.97/6.19  ;  Retrieved 0 possibly forward subsuming rows in 2 calls.
% 5.97/6.19  ;  Retrieved 0 possibly backward subsumed rows in 2 calls.
% 5.97/6.19  ; Path-index has 49,785 entries (49,785 at peak, 49,786 added, 1 deleted).
% 5.97/6.19  ; Path-index has 14,550 nodes (14,550 at peak, 14,550 added, 0 deleted).
% 5.97/6.19  ; Trie-index has 49,785 entries (49,785 at peak, 49,786 added, 1 deleted).
% 5.97/6.19  ; Trie-index has 115,938 nodes (115,938 at peak, 115,938 added, 0 deleted).
% 5.97/6.19  ; Retrieved 297,880 generalization terms in 102,180 calls.
% 5.97/6.19  ; Retrieved 69,713 instance terms in 23,770 calls.
% 5.97/6.19  ; Retrieved 2,172,591 unifiable terms in 13,973 calls.
% 5.97/6.19  ; 
% 5.97/6.19  ; The agenda of rows to process has 283 entries:
% 5.97/6.19  ;     1 with value 12             10 with value 21              14 with value 29
% 5.97/6.19  ;     8 with value 13              1 with value 22              14 with value 30
% 5.97/6.19  ;    12 with value 15              6 with value 23              23 with value 31
% 5.97/6.19  ;    16 with value 16              1 with value 24              30 with value 32
% 5.97/6.19  ;    24 with value 17              6 with value 25              38 with value 33
% 5.97/6.19  ;    18 with value 18              3 with value 26               4 with value 34
% 5.97/6.19  ;    12 with value 19              7 with value 27               1 with value 37
% 5.97/6.19  ;    21 with value 20             13 with value 28
% 5.97/6.19  ; The agenda of rows to give has 23401 entries:
% 5.97/6.19  ;    76 with value (4 19)       3180 with value (4 30)           2 with value (4 41)
% 5.97/6.19  ;   191 with value (4 20)       2477 with value (4 31)          16 with value (4 42)
% 5.97/6.19  ;   346 with value (4 21)       1520 with value (4 32)           6 with value (4 43)
% 5.97/6.19  ;   458 with value (4 22)        601 with value (4 33)           6 with value (4 44)
% 5.97/6.19  ;   632 with value (4 23)         73 with value (4 34)          22 with value (4 45)
% 5.97/6.19  ;   926 with value (4 24)         45 with value (4 35)          15 with value (4 46)
% 5.97/6.19  ;  1263 with value (4 25)         31 with value (4 36)           2 with value (4 47)
% 5.97/6.19  ;  1834 with value (4 26)         58 with value (4 37)           1 with value (4 48)
% 5.97/6.19  ;  2428 with value (4 27)         37 with value (4 38)           8 with value (4 49)
% 5.97/6.19  ;  3269 with value (4 28)          5 with value (4 39)           4 with value (4 52)
% 5.97/6.19  ;  3851 with value (4 29)         17 with value (4 40)           1 with value (4 59)
% 5.97/6.19  Evaluation took:
% 5.97/6.19    5.716 seconds of real time
% 5.97/6.19    5.37818 seconds of user run time
% 5.97/6.19    0.337608 seconds of system run time
% 5.97/6.19    [Run times include 1.151 seconds GC run time.]
% 5.97/6.19    0 calls to %EVAL
% 5.97/6.19    0 page faults and
% 5.97/6.19    347,617,008 bytes consed.
% 5.97/6.19  :PROOF-FOUND
% 5.97/6.19  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-03T21:40:51
% 5.97/6.19  :PROOF-FOUND
% 5.97/6.19  * 
%------------------------------------------------------------------------------