TSTP Solution File: SYN644-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN644-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n012.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 12:02:15 EDT 2022

% Result   : Unsatisfiable 0.20s 0.53s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   16 (  11 unt;   1 nHn;  12 RR)
%            Number of literals    :   31 (   0 equ;  16 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   18 (  18 usr;   7 con; 0-5 aty)
%            Number of variables   :   24 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p12_1,negated_conjecture,
    p12(X,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_1) ).

cnf(p22_7,negated_conjecture,
    p22(f3(f4(f5(c26))),c27),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p22_7) ).

cnf(f17_is_p24_9,negated_conjecture,
    p24(f17(f10(c29,f11(c27,c30)),c28)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f17_is_p24_9) ).

cnf(p23_10,negated_conjecture,
    p23(c28,f8(f10(c29,f11(c27,c30)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_10) ).

cnf(p12_17,negated_conjecture,
    ( p12(X,Y)
    | ~ p12(Z,X)
    | ~ p12(Z,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_17) ).

cnf(not_p12_23,negated_conjecture,
    ~ p12(c28,f16(f10(c29,f11(c27,c30)),c32,c31)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p12_23) ).

cnf(p25_25,negated_conjecture,
    ( p25(X,Y)
    | ~ p12(Z,Y)
    | ~ p25(U,Z)
    | ~ p12(U,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_25) ).

cnf(p12_33,negated_conjecture,
    p12(f13(f14(c31,c28)),f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_33) ).

cnf(p25_37,negated_conjecture,
    ( p25(f13(f14(X,f16(f10(Y,f11(Z,U)),c32,X))),f13(f14(X,V)))
    | ~ p22(f3(f4(f5(c26))),Z)
    | ~ p23(V,f8(f10(Y,f11(Z,U)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_37) ).

cnf(p12_39,negated_conjecture,
    ( p12(X,f16(f10(Y,f11(Z,U)),c32,V))
    | p23(f21(Y,Z,U,V,X),f8(f10(Y,f11(Z,U))))
    | ~ p22(f3(f4(f5(c26))),Z)
    | ~ p24(f17(f10(Y,f11(Z,U)),X))
    | ~ p23(X,f8(f10(Y,f11(Z,U)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_39) ).

cnf(p12_40,negated_conjecture,
    ( p12(X,f16(f10(Y,f11(Z,U)),c32,V))
    | ~ p22(f3(f4(f5(c26))),Z)
    | ~ p24(f17(f10(Y,f11(Z,U)),X))
    | ~ p23(X,f8(f10(Y,f11(Z,U))))
    | ~ p25(f13(f14(V,X)),f13(f14(V,f21(Y,Z,U,V,X)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_40) ).

cnf(44,plain,
    p12(f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31))),f13(f14(c31,c28))),
    inference('HYPERRESOLVE',[status(thm)],[p12_17,p12_33,p12_1]) ).

cnf(61,plain,
    p23(f21(c29,c27,c30,c31,c28),f8(f10(c29,f11(c27,c30)))),
    inference('UR-RESOLVE',[status(thm)],[p12_39,not_p12_23,p22_7,f17_is_p24_9,p23_10]) ).

cnf(63,plain,
    ~ p25(f13(f14(c31,c28)),f13(f14(c31,f21(c29,c27,c30,c31,c28)))),
    inference('UR-RESOLVE',[status(thm)],[p12_40,not_p12_23,p22_7,f17_is_p24_9,p23_10]) ).

cnf(64,plain,
    p25(f13(f14(X,f16(f10(c29,f11(c27,c30)),c32,X))),f13(f14(X,f21(c29,c27,c30,c31,c28)))),
    inference('HYPERRESOLVE',[status(thm)],[p25_37,61,p22_7]) ).

cnf(75,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[p25_25,44,63,p12_1]),64]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN644-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n012.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 16:10:43 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46  * 
% 0.20/0.46  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 0.20/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47   (USE-FACTORING :POS)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47  * 
% 0.20/0.47  "."
% 0.20/0.47  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T16:10:43
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n012.cluster.edu at 2022-07-11T16:10:43
% 0.20/0.53  
% 0.20/0.53  
% 0.20/0.53  #||
% 0.20/0.53  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.53  % SZS output start Refutation
% See solution above
% 0.20/0.54  ||#
% 0.20/0.54  
% 0.20/0.54  ; Summary of computation:
% 0.20/0.54  ;       204 formulas have been input or derived (from 48 formulas).
% 0.20/0.54  ;        75 (37%) were retained.  Of these,
% 0.20/0.54  ;           75 (100%) are still being kept.
% 0.20/0.54  ; 
% 0.20/0.54  ; Run time in seconds excluding printing time:
% 0.20/0.54  ;     0.010  17%   Read assertion file          (1 call)
% 0.20/0.54  ;     0.001   2%   Assert                       (42 calls)
% 0.20/0.54  ;     0.011  19%   Process new row              (128 calls)
% 0.20/0.54  ;     0.005   8%   Resolution                   (94 calls)
% 0.20/0.54  ;     0.001   2%   Paramodulation               (47 calls)
% 0.20/0.54  ;     0.002   3%   Condensing                   (35 calls)
% 0.20/0.54  ;     0.003   5%   Forward subsumption          (35 calls)
% 0.20/0.54  ;     0.002   3%   Backward subsumption         (34 calls)
% 0.20/0.54  ;     0.000   0%   Clause clause subsumption    (6 calls)
% 0.20/0.54  ;     0.001   2%   Forward simplification       (128 calls)
% 0.20/0.54  ;     0.000   0%   Backward simplification      (75 calls)
% 0.20/0.54  ;     0.000   0%   Ordering                     (14 calls)
% 0.20/0.54  ;     0.001   2%   Sortal reasoning             (32 calls)
% 0.20/0.54  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.54  ;     0.022  37%   Other
% 0.20/0.54  ;     0.059        Total
% 0.20/0.54  ;     0.075        Real time
% 0.20/0.54  ; 
% 0.20/0.54  ; Term-hash-array has 236 terms in all.
% 0.20/0.54  ; Feature-vector-row-index has 34 entries (34 at peak, 34 added, 0 deleted).
% 0.20/0.54  ; Feature-vector-row-index has 349 nodes (349 at peak, 349 added, 0 deleted).
% 0.20/0.54  ;  Retrieved 6 possibly forward subsuming rows in 35 calls.
% 0.20/0.54  ;  Retrieved 0 possibly backward subsumed rows in 34 calls.
% 0.20/0.54  ; Path-index has 243 entries (243 at peak, 243 added, 0 deleted).
% 0.20/0.54  ; Path-index has 1,306 nodes (1,306 at peak, 1,306 added, 0 deleted).
% 0.20/0.54  ; Trie-index has 243 entries (243 at peak, 243 added, 0 deleted).
% 0.20/0.54  ; Trie-index has 1,239 nodes (1,239 at peak, 1,239 added, 0 deleted).
% 0.20/0.54  ; Retrieved 156 generalization terms in 186 calls.
% 0.20/0.54  ; Retrieved 40 instance terms in 40 calls.
% 0.20/0.54  ; Retrieved 2,414 unifiable terms in 544 calls.
% 0.20/0.54  ; 
% 0.20/0.54  ; The agenda of rows to process has 35 entries:
% 0.20/0.54  ;     6 with value 29              4 with value 35               8 with value 48
% 0.20/0.54  ;     1 with value 31             16 with value 42
% 0.20/0.54  ; The agenda of rows to give has 27 entries:
% 0.20/0.54  ;     1 with value (4 23)          1 with value (4 30)           2 with value (4 41)
% 0.20/0.54  ;     1 with value (4 26)          1 with value (4 31)           1 with value (4 47)
% 0.20/0.54  ;     1 with value (4 27)          2 with value (4 32)           1 with value (4 63)
% 0.20/0.54  ;     6 with value (4 28)          2 with value (4 34)           1 with value (4 68)
% 0.20/0.54  ;     7 with value (4 29)
% 0.20/0.54  Evaluation took:
% 0.20/0.54    0.075 seconds of real time
% 0.20/0.54    0.054682 seconds of user run time
% 0.20/0.54    0.008179 seconds of system run time
% 0.20/0.54    0 calls to %EVAL
% 0.20/0.54    0 page faults and
% 0.20/0.54    4,634,696 bytes consed.
% 0.20/0.54  :PROOF-FOUND
% 0.20/0.54  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T16:10:43
% 0.20/0.54  :PROOF-FOUND
% 0.20/0.54  * 
%------------------------------------------------------------------------------