TSTP Solution File: SYN716-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN716-1 : TPTP v8.1.0. Released v2.5.0.
% 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 : Thu Jul 21 12:02:44 EDT 2022

% Result   : Unsatisfiable 0.18s 0.55s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   13 (   9 unt;   0 nHn;  10 RR)
%            Number of literals    :   20 (   0 equ;  11 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :   10 (   3 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   34 (  34 usr;  12 con; 0-2 aty)
%            Number of variables   :   41 (  22 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p32_20,negated_conjecture,
    p32(X,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p32_20) ).

cnf(p2_28,negated_conjecture,
    p2(X,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_28) ).

cnf(not_p62_34,negated_conjecture,
    ~ p62(c67,c72),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p62_34) ).

cnf(p62_68,negated_conjecture,
    ( p62(X,Y)
    | ~ p4(Z,X)
    | ~ p62(Z,U)
    | ~ p32(U,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p62_68) ).

cnf(p4_86,negated_conjecture,
    ( p4(f5(X,Y),f5(Z,U))
    | ~ p2(X,Z)
    | ~ p3(Y,U) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_86) ).

cnf(p62_97,negated_conjecture,
    ( p62(X,Y)
    | ~ p62(f5(c64,f16(f19(f21(c66,X),Z),U)),Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p62_97) ).

cnf(p62_99,negated_conjecture,
    ( p62(X,Y)
    | ~ p62(f23(f25(f27(f29(f31(c74,X),Z),U),V),W),Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p62_99) ).

cnf(p62_100,negated_conjecture,
    p62(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),c72),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p62_100) ).

cnf(p3_106,negated_conjecture,
    p3(f8(f11(f13(c65,f16(f19(f21(c66,X),Y),Z)),U),V),f16(f19(f21(c66,f23(f25(f27(f29(f31(c74,X),Y),Z),U),V)),f43(f45(f47(f49(f51(c75,X),Y),Z),U),V)),f53(f55(f57(f59(f61(c76,X),Y),Z),U),V))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_106) ).

cnf(107,plain,
    ~ p62(f23(f25(f27(f29(f31(c74,c67),X),Y),Z),U),c72),
    inference('UR-RESOLVE',[status(thm)],[p62_99,not_p62_34]) ).

cnf(116,plain,
    ~ p62(f5(c64,f16(f19(f21(c66,f23(f25(f27(f29(f31(c74,c67),X),Y),Z),U)),V),W)),c72),
    inference('UR-RESOLVE',[status(thm)],[p62_97,107]) ).

cnf(127,plain,
    ~ p4(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),f5(c64,f16(f19(f21(c66,f23(f25(f27(f29(f31(c74,c67),X),Y),Z),U)),V),W))),
    inference('UR-RESOLVE',[status(thm)],[p62_68,116,p62_100,p32_20]) ).

cnf(172,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[p4_86,127,p2_28,p3_106]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYN716-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n015.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
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jul 11 20:12:54 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.43  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44  * 
% 0.18/0.44  * 
% 0.18/0.45  #<PACKAGE "SNARK-USER">
% 0.18/0.45  * 
% 0.18/0.45  SNARK-TPTP-OPTIONS
% 0.18/0.45  * 
% 0.18/0.45  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.45   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.45   (USE-FACTORING :POS)
% 0.18/0.45   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.45   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.45   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.45   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.45   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.45   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.45   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.45   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.45   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.45   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.45  * 
% 0.18/0.45  "."
% 0.18/0.45  * 
% 0.18/0.45  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T20:12:54
% 0.18/0.45  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-07-11T20:12:54
% 0.18/0.55  
% 0.18/0.55  
% 0.18/0.55  #||
% 0.18/0.55  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.55  % SZS output start Refutation
% See solution above
% 0.18/0.55  ||#
% 0.18/0.55  
% 0.18/0.55  ; Summary of computation:
% 0.18/0.55  ;       369 formulas have been input or derived (from 140 formulas).
% 0.18/0.55  ;       172 (47%) were retained.  Of these,
% 0.18/0.55  ;          172 (100%) are still being kept.
% 0.18/0.55  ; 
% 0.18/0.55  ; Run time in seconds excluding printing time:
% 0.18/0.55  ;     0.019  19%   Read assertion file          (1 call)
% 0.18/0.55  ;     0.004   4%   Assert                       (106 calls)
% 0.18/0.55  ;     0.023  23%   Process new row              (297 calls)
% 0.18/0.55  ;     0.009   9%   Resolution                   (278 calls)
% 0.18/0.55  ;     0.002   2%   Paramodulation               (139 calls)
% 0.18/0.55  ;     0.001   1%   Condensing                   (70 calls)
% 0.18/0.55  ;     0.001   1%   Forward subsumption          (70 calls)
% 0.18/0.55  ;     0.002   2%   Backward subsumption         (69 calls)
% 0.18/0.55  ;     0.000   0%   Clause clause subsumption    (1 call)
% 0.18/0.55  ;     0.009   9%   Forward simplification       (297 calls)
% 0.18/0.55  ;     0.003   3%   Backward simplification      (172 calls)
% 0.18/0.55  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.18/0.55  ;     0.001   1%   Purity testing               (1 call)
% 0.18/0.55  ;     0.026  26%   Other
% 0.18/0.55  ;     0.100        Total
% 0.18/0.55  ;     0.102        Real time
% 0.18/0.55  ; 
% 0.18/0.55  ; Term-hash-array has 570 terms in all.
% 0.18/0.55  ; Feature-vector-row-index has 69 entries (69 at peak, 69 added, 0 deleted).
% 0.18/0.55  ; Feature-vector-row-index has 258 nodes (258 at peak, 258 added, 0 deleted).
% 0.18/0.55  ;  Retrieved 40 possibly forward subsuming rows in 70 calls.
% 0.18/0.55  ;  Retrieved 39 possibly backward subsumed rows in 69 calls.
% 0.18/0.55  ; Path-index has 583 entries (583 at peak, 583 added, 0 deleted).
% 0.18/0.55  ; Path-index has 4,453 nodes (4,453 at peak, 4,453 added, 0 deleted).
% 0.18/0.55  ; Trie-index has 583 entries (583 at peak, 583 added, 0 deleted).
% 0.18/0.55  ; Trie-index has 3,488 nodes (3,488 at peak, 3,488 added, 0 deleted).
% 0.18/0.55  ; Retrieved 353 generalization terms in 389 calls.
% 0.18/0.55  ; Retrieved 102 instance terms in 102 calls.
% 0.18/0.55  ; Retrieved 2,146 unifiable terms in 1,452 calls.
% 0.18/0.55  ; 
% 0.18/0.55  ; The agenda of rows to process has 4 entries:
% 0.18/0.55  ;     1 with value 8               1 with value 44               2 with value 49
% 0.18/0.55  ; The agenda of rows to give has 32 entries:
% 0.18/0.55  ;     1 with value (4 48)          2 with value (4 56)           4 with value (4 61)
% 0.18/0.55  ;     5 with value (4 49)          3 with value (4 58)           3 with value (4 62)
% 0.18/0.55  ;     2 with value (4 51)          4 with value (4 59)           3 with value (4 66)
% 0.18/0.55  ;     1 with value (4 52)          1 with value (4 60)           3 with value (4 69)
% 0.18/0.55  Evaluation took:
% 0.18/0.55    0.102 seconds of real time
% 0.18/0.55    0.095182 seconds of user run time
% 0.18/0.55    0.00701 seconds of system run time
% 0.18/0.55    0 calls to %EVAL
% 0.18/0.55    0 page faults and
% 0.18/0.55    6,448,592 bytes consed.
% 0.18/0.55  :PROOF-FOUND
% 0.18/0.55  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T20:12:55
% 0.18/0.55  :PROOF-FOUND
% 0.18/0.55  * 
%------------------------------------------------------------------------------