TSTP Solution File: SYN621-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN621-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n017.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 : Thu Jul 21 12:02:06 EDT 2022

% Result   : Unsatisfiable 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    6
% Syntax   : Number of clauses     :    8 (   4 unt;   2 nHn;   5 RR)
%            Number of literals    :   13 (   0 equ;   5 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;   6 con; 0-4 aty)
%            Number of variables   :   13 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(not_p2_7,negated_conjecture,
    ~ p2(c23,f3(c24)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_7) ).

cnf(p21_18,negated_conjecture,
    ( p21(X,Y)
    | ~ p21(X,Z)
    | ~ p21(Z,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_18) ).

cnf(p2_28,negated_conjecture,
    ( p2(X,f3(c24))
    | p22(f20(Y,X,Z,U),f14(f11(Y,f12(X,Z)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_28) ).

cnf(p21_31,negated_conjecture,
    ( p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f5(f6(c27,X)))
    | ~ p22(X,f14(f11(c25,f12(c23,c26)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_31) ).

cnf(not_p21_32,negated_conjecture,
    ~ p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f15(f19(f11(c25,f12(c23,c26)),c27),f16(f3(f17(f18(c24)))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p21_32) ).

cnf(p2_34,negated_conjecture,
    ( p2(X,f3(c24))
    | p21(f5(f6(Y,f20(Z,X,U,Y))),f15(f19(f11(Z,f12(X,U)),Y),f16(f3(f17(f18(c24)))))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_34) ).

cnf(37,plain,
    p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f5(f6(c27,f20(c25,c23,c26,X)))),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[p21_31,p2_28]),not_p2_7]) ).

cnf(43,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[p21_18,37,p2_34]),not_p21_32,not_p2_7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN621-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n017.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Tue Jul 12 02:32:49 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.46  #<PACKAGE "SNARK-USER">
% 0.19/0.46  * 
% 0.19/0.46  SNARK-TPTP-OPTIONS
% 0.19/0.46  * 
% 0.19/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46   (USE-FACTORING :POS)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46  * 
% 0.19/0.46  "."
% 0.19/0.46  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T02:32:49
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-07-12T02:32:49
% 0.19/0.51  
% 0.19/0.51  
% 0.19/0.51  #||
% 0.19/0.51  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.51  % SZS output start Refutation
% See solution above
% 0.19/0.51  ||#
% 0.19/0.51  
% 0.19/0.51  ; Summary of computation:
% 0.19/0.51  ;       103 formulas have been input or derived (from 39 formulas).
% 0.19/0.51  ;        43 (42%) were retained.  Of these,
% 0.19/0.51  ;           43 (100%) are still being kept.
% 0.19/0.51  ; 
% 0.19/0.51  ; Run time in seconds excluding printing time:
% 0.19/0.51  ;     0.007  16%   Read assertion file          (1 call)
% 0.19/0.51  ;     0.001   2%   Assert                       (34 calls)
% 0.19/0.51  ;     0.008  19%   Process new row              (80 calls)
% 0.19/0.51  ;     0.002   5%   Resolution                   (76 calls)
% 0.19/0.51  ;     0.000   0%   Paramodulation               (38 calls)
% 0.19/0.51  ;     0.000   0%   Factoring                    (2 calls)
% 0.19/0.51  ;     0.000   0%   Condensing                   (29 calls)
% 0.19/0.51  ;     0.000   0%   Forward subsumption          (29 calls)
% 0.19/0.51  ;     0.000   0%   Backward subsumption         (27 calls)
% 0.19/0.51  ;     0.001   2%   Clause clause subsumption    (4 calls)
% 0.19/0.51  ;     0.002   5%   Forward simplification       (80 calls)
% 0.19/0.51  ;     0.000   0%   Backward simplification      (43 calls)
% 0.19/0.51  ;     0.000   0%   Ordering                     (8 calls)
% 0.19/0.51  ;     0.001   2%   Sortal reasoning             (32 calls)
% 0.19/0.51  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.51  ;     0.021  49%   Other
% 0.19/0.51  ;     0.043        Total
% 0.19/0.51  ;     0.045        Real time
% 0.19/0.51  ; 
% 0.19/0.51  ; Term-hash-array has 150 terms in all.
% 0.19/0.51  ; Feature-vector-row-index has 27 entries (27 at peak, 27 added, 0 deleted).
% 0.19/0.51  ; Feature-vector-row-index has 155 nodes (155 at peak, 155 added, 0 deleted).
% 0.19/0.51  ;  Retrieved 6 possibly forward subsuming rows in 29 calls.
% 0.19/0.51  ;  Retrieved 1 possibly backward subsumed row in 27 calls.
% 0.19/0.51  ; Path-index has 156 entries (156 at peak, 156 added, 0 deleted).
% 0.19/0.51  ; Path-index has 484 nodes (484 at peak, 484 added, 0 deleted).
% 0.19/0.51  ; Trie-index has 156 entries (156 at peak, 156 added, 0 deleted).
% 0.19/0.51  ; Trie-index has 440 nodes (440 at peak, 440 added, 0 deleted).
% 0.19/0.51  ; Retrieved 108 generalization terms in 116 calls.
% 0.19/0.51  ; Retrieved 15 instance terms in 15 calls.
% 0.19/0.51  ; Retrieved 976 unifiable terms in 284 calls.
% 0.19/0.51  ; 
% 0.19/0.51  ; The agenda of rows to give has 4 entries:
% 0.19/0.51  ;     1 with value (4 28)          1 with value (4 29)           2 with value (4 30)
% 0.19/0.51  Evaluation took:
% 0.19/0.51    0.045 seconds of real time
% 0.19/0.51    0.036942 seconds of user run time
% 0.19/0.51    0.008035 seconds of system run time
% 0.19/0.51    0 calls to %EVAL
% 0.19/0.51    0 page faults and
% 0.19/0.51    2,874,016 bytes consed.
% 0.19/0.51  :PROOF-FOUND
% 0.19/0.51  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T02:32:49
% 0.19/0.51  :PROOF-FOUND
% 0.19/0.51  * 
%------------------------------------------------------------------------------