TSTP Solution File: SYN601-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN601-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n021.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 12:01:58 EDT 2022

% Result   : Unsatisfiable 0.81s 1.01s
% Output   : Refutation 0.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   16 (  12 unt;   0 nHn;   9 RR)
%            Number of literals    :   26 (   0 equ;  12 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-3 aty)
%            Number of variables   :   29 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p10_1,negated_conjecture,
    p10(X,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_1) ).

cnf(p9_2,negated_conjecture,
    p9(X,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_2) ).

cnf(p3_3,negated_conjecture,
    p3(X,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_3) ).

cnf(p2_4,negated_conjecture,
    p2(X,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_4) ).

cnf(p3_7,negated_conjecture,
    p3(c22,c23),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_7) ).

cnf(p19_22,negated_conjecture,
    p19(c21,f11(f13(f15(c21),f14(f4(c21),c22)),c24,c25)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19_22) ).

cnf(not_p19_23,negated_conjecture,
    ~ p19(c21,f11(f13(f15(c21),f14(f4(c21),c23)),c24,c25)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p19_23) ).

cnf(p19_24,negated_conjecture,
    ( p19(X,Y)
    | ~ p19(Z,U)
    | ~ p2(Z,X)
    | ~ p10(U,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19_24) ).

cnf(p12_27,negated_conjecture,
    ( p12(f14(X,Y),f14(Z,U))
    | ~ p3(X,Z)
    | ~ p3(Y,U) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_27) ).

cnf(p2_28,negated_conjecture,
    ( p2(f13(X,Y),f13(Z,U))
    | ~ p12(Y,U)
    | ~ p3(X,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_28) ).

cnf(p10_30,negated_conjecture,
    ( p10(f11(X,Y,Z),f11(U,V,W))
    | ~ p2(X,U)
    | ~ p9(Y,V)
    | ~ p10(Z,W) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_30) ).

cnf(38,plain,
    ~ p10(f11(f13(f15(c21),f14(f4(c21),c22)),c24,c25),f11(f13(f15(c21),f14(f4(c21),c23)),c24,c25)),
    inference('UR-RESOLVE',[status(thm)],[p19_24,not_p19_23,p19_22,p2_4]) ).

cnf(41,plain,
    p12(f14(X,c22),f14(X,c23)),
    inference('HYPERRESOLVE',[status(thm)],[p12_27,p3_3,p3_7]) ).

cnf(180,plain,
    p2(f13(X,f14(Y,c22)),f13(X,f14(Y,c23))),
    inference('HYPERRESOLVE',[status(thm)],[p2_28,41,p3_3]) ).

cnf(3255,plain,
    p10(f11(f13(X,f14(Y,c22)),Z,U),f11(f13(X,f14(Y,c23)),Z,U)),
    inference('HYPERRESOLVE',[status(thm)],[p10_30,180,p9_2,p10_1]) ).

cnf(3256,plain,
    $false,
    inference('REWRITE',[status(thm)],[38,3255]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN601-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n021.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 : Mon Jul 11 22:35:38 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.48  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 0.20/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48   (USE-FACTORING :POS)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48  * 
% 0.20/0.48  "."
% 0.20/0.48  * 
% 0.20/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T22:35:39
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-07-11T22:35:39
% 0.81/1.01  
% 0.81/1.01  
% 0.81/1.01  #||
% 0.81/1.01  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.81/1.01  % SZS output start Refutation
% See solution above
% 0.81/1.01  ||#
% 0.81/1.01  
% 0.81/1.01  ; Summary of computation:
% 0.81/1.01  ;      8291 formulas have been input or derived (from 145 formulas).
% 0.81/1.01  ;      3256 (39%) were retained.  Of these,
% 0.81/1.01  ;            1 ( 0%) were simplified or subsumed later,
% 0.81/1.01  ;         3255 (100%) are still being kept.
% 0.81/1.01  ; 
% 0.81/1.01  ; Run time in seconds excluding printing time:
% 0.81/1.01  ;     0.006   1%   Read assertion file          (1 call)
% 0.81/1.01  ;     0.001   0%   Assert                       (30 calls)
% 0.81/1.01  ;     0.268  51%   Process new row              (8,222 calls)
% 0.81/1.01  ;     0.077  15%   Resolution                   (288 calls)
% 0.81/1.01  ;     0.002   0%   Paramodulation               (144 calls)
% 0.81/1.01  ;     0.000   0%   Condensing                   (18 calls)
% 0.81/1.01  ;     0.000   0%   Forward subsumption          (18 calls)
% 0.81/1.01  ;     0.000   0%   Backward subsumption         (18 calls)
% 0.81/1.01  ;     0.071  13%   Forward simplification       (8,222 calls)
% 0.81/1.01  ;     0.046   9%   Backward simplification      (3,256 calls)
% 0.81/1.01  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.81/1.01  ;     0.000   0%   Purity testing               (1 call)
% 0.81/1.01  ;     0.059  11%   Other
% 0.81/1.01  ;     0.530        Total
% 0.81/1.01  ;     0.531        Real time
% 0.81/1.01  ; 
% 0.81/1.01  ; Term-hash-array has 6,972 terms in all.
% 0.81/1.01  ; Feature-vector-row-index has 18 entries (18 at peak, 18 added, 0 deleted).
% 0.81/1.01  ; Feature-vector-row-index has 50 nodes (50 at peak, 50 added, 0 deleted).
% 0.81/1.01  ;  Retrieved 0 possibly forward subsuming rows in 18 calls.
% 0.81/1.01  ;  Retrieved 0 possibly backward subsumed rows in 18 calls.
% 0.81/1.01  ; Path-index has 6,977 entries (6,978 at peak, 6,978 added, 1 deleted).
% 0.81/1.01  ; Path-index has 1,875 nodes (1,875 at peak, 1,875 added, 0 deleted).
% 0.81/1.01  ; Trie-index has 6,977 entries (6,978 at peak, 6,978 added, 1 deleted).
% 0.81/1.01  ; Trie-index has 35,381 nodes (35,394 at peak, 35,394 added, 13 deleted).
% 0.81/1.01  ; Retrieved 16,950 generalization terms in 8,246 calls.
% 0.81/1.01  ; Retrieved 5,499 instance terms in 3,237 calls.
% 0.81/1.01  ; Retrieved 88,762 unifiable terms in 7,559 calls.
% 0.81/1.01  ; 
% 0.81/1.01  ; The agenda of rows to process has 17 entries:
% 0.81/1.01  ;     4 with value 26              6 with value 29               1 with value 32
% 0.81/1.01  ;     6 with value 28
% 0.81/1.01  ; The agenda of rows to give has 3110 entries:
% 0.81/1.01  ;    36 with value (4 16)        327 with value (4 22)          53 with value (4 28)
% 0.81/1.01  ;    79 with value (4 17)        462 with value (4 23)          51 with value (4 29)
% 0.81/1.01  ;    94 with value (4 18)        316 with value (4 24)           3 with value (4 30)
% 0.81/1.01  ;   124 with value (4 19)        684 with value (4 25)           3 with value (4 31)
% 0.81/1.01  ;   215 with value (4 20)        169 with value (4 26)           8 with value (4 32)
% 0.81/1.01  ;   189 with value (4 21)        297 with value (4 27)
% 0.81/1.01  Evaluation took:
% 0.81/1.01    0.531 seconds of real time
% 0.81/1.01    0.476583 seconds of user run time
% 0.81/1.01    0.055263 seconds of system run time
% 0.81/1.01    [Run times include 0.053 seconds GC run time.]
% 0.81/1.01    0 calls to %EVAL
% 0.81/1.01    0 page faults and
% 0.81/1.01    41,249,480 bytes consed.
% 0.81/1.01  :PROOF-FOUND
% 0.81/1.01  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T22:35:39
% 0.81/1.01  :PROOF-FOUND
% 0.81/1.01  * 
%------------------------------------------------------------------------------