TSTP Solution File: SYN651-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN651-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n014.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 12:02:18 EDT 2022

% Result   : Unsatisfiable 0.21s 0.54s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   11 (   7 unt;   0 nHn;  11 RR)
%            Number of literals    :   17 (   0 equ;   8 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;   8 con; 0-2 aty)
%            Number of variables   :   16 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p23_13,negated_conjecture,
    p23(f5(c27,c28),c30),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_13) ).

cnf(p23_26,negated_conjecture,
    p23(f5(f7(f10(c24,f12(c25,c26)),c27),c30),c29),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_26) ).

cnf(not_p23_28,negated_conjecture,
    ~ p23(f5(f7(f10(c24,f12(c25,f12(c25,c26))),c27),c28),c29),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p23_28) ).

cnf(p23_41,negated_conjecture,
    ( p23(f5(X,f14(f16(f18(f20(c31,Y),Z),X),U)),U)
    | ~ p23(f5(f7(f10(c24,f12(c25,Y)),X),Z),U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_41) ).

cnf(p23_43,negated_conjecture,
    ( p23(f5(f7(f10(c24,f12(c25,X)),Y),Z),U)
    | ~ p23(f5(Y,V),U)
    | ~ p23(f5(f7(f10(c24,X),Y),Z),V) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_43) ).

cnf(p23_44,negated_conjecture,
    ( p23(f5(f7(f10(c24,f12(c25,c26)),c27),X),Y)
    | ~ p23(f5(c27,X),Z)
    | ~ p23(f5(f7(f10(c24,c26),c27),Z),Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_44) ).

cnf(p23_45,negated_conjecture,
    ( p23(f5(f7(f10(c24,X),Y),Z),f14(f16(f18(f20(c31,X),Z),Y),U))
    | ~ p23(f5(f7(f10(c24,f12(c25,X)),Y),Z),U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_45) ).

cnf(50,plain,
    p23(f5(c27,f14(f16(f18(f20(c31,c26),c30),c27),c29)),c29),
    inference('HYPERRESOLVE',[status(thm)],[p23_41,p23_26]) ).

cnf(51,plain,
    p23(f5(f7(f10(c24,c26),c27),c30),f14(f16(f18(f20(c31,c26),c30),c27),c29)),
    inference('HYPERRESOLVE',[status(thm)],[p23_45,p23_26]) ).

cnf(59,plain,
    ~ p23(f5(f7(f10(c24,f12(c25,c26)),c27),c28),f14(f16(f18(f20(c31,c26),c30),c27),c29)),
    inference('UR-RESOLVE',[status(thm)],[p23_43,50,not_p23_28]) ).

cnf(66,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[p23_44,51,p23_13]),59]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SYN651-1 : TPTP v8.1.0. Released v2.5.0.
% 0.08/0.14  % Command  : run-snark %s %d
% 0.14/0.35  % Computer : n014.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Tue Jul 12 00:59:34 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.21/0.47  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.48  * 
% 0.21/0.48  * 
% 0.21/0.49  #<PACKAGE "SNARK-USER">
% 0.21/0.49  * 
% 0.21/0.49  SNARK-TPTP-OPTIONS
% 0.21/0.49  * 
% 0.21/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49   (USE-FACTORING :POS)
% 0.21/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49  * 
% 0.21/0.49  "."
% 0.21/0.49  * 
% 0.21/0.49  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T00:59:34
% 0.21/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-07-12T00:59:34
% 0.21/0.54  
% 0.21/0.54  
% 0.21/0.54  #||
% 0.21/0.54  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.54  % SZS output start Refutation
% See solution above
% 0.21/0.54  ||#
% 0.21/0.54  
% 0.21/0.54  ; Summary of computation:
% 0.21/0.54  ;       151 formulas have been input or derived (from 52 formulas).
% 0.21/0.54  ;        66 (44%) were retained.  Of these,
% 0.21/0.54  ;           66 (100%) are still being kept.
% 0.21/0.54  ; 
% 0.21/0.54  ; Run time in seconds excluding printing time:
% 0.21/0.54  ;     0.009  18%   Read assertion file          (1 call)
% 0.21/0.54  ;     0.000   0%   Assert                       (45 calls)
% 0.21/0.54  ;     0.009  18%   Process new row              (103 calls)
% 0.21/0.54  ;     0.001   2%   Resolution                   (102 calls)
% 0.21/0.54  ;     0.001   2%   Paramodulation               (51 calls)
% 0.21/0.54  ;     0.001   2%   Condensing                   (30 calls)
% 0.21/0.54  ;     0.000   0%   Forward subsumption          (30 calls)
% 0.21/0.54  ;     0.000   0%   Backward subsumption         (30 calls)
% 0.21/0.54  ;     0.000   0%   Clause clause subsumption    (1 call)
% 0.21/0.54  ;     0.003   6%   Forward simplification       (103 calls)
% 0.21/0.54  ;     0.001   2%   Backward simplification      (66 calls)
% 0.21/0.54  ;     0.001   2%   Sortal reasoning             (32 calls)
% 0.21/0.54  ;     0.001   2%   Purity testing               (1 call)
% 0.21/0.54  ;     0.023  46%   Other
% 0.21/0.54  ;     0.050        Total
% 0.21/0.54  ;     0.053        Real time
% 0.21/0.54  ; 
% 0.21/0.54  ; Term-hash-array has 212 terms in all.
% 0.21/0.54  ; Feature-vector-row-index has 30 entries (30 at peak, 30 added, 0 deleted).
% 0.21/0.54  ; Feature-vector-row-index has 228 nodes (228 at peak, 228 added, 0 deleted).
% 0.21/0.54  ;  Retrieved 5 possibly forward subsuming rows in 30 calls.
% 0.21/0.54  ;  Retrieved 2 possibly backward subsumed rows in 30 calls.
% 0.21/0.54  ; Path-index has 223 entries (223 at peak, 223 added, 0 deleted).
% 0.21/0.54  ; Path-index has 652 nodes (652 at peak, 652 added, 0 deleted).
% 0.21/0.54  ; Trie-index has 223 entries (223 at peak, 223 added, 0 deleted).
% 0.21/0.54  ; Trie-index has 636 nodes (636 at peak, 636 added, 0 deleted).
% 0.21/0.54  ; Retrieved 110 generalization terms in 145 calls.
% 0.21/0.54  ; Retrieved 37 instance terms in 35 calls.
% 0.21/0.54  ; Retrieved 1,195 unifiable terms in 436 calls.
% 0.21/0.54  ; 
% 0.21/0.54  ; The agenda of rows to process has 1 entry:
% 0.21/0.54  ;     1 with value 33
% 0.21/0.54  ; The agenda of rows to give has 14 entries:
% 0.21/0.54  ;     2 with value (4 25)          1 with value (4 28)           1 with value (4 30)
% 0.21/0.54  ;     1 with value (4 26)          4 with value (4 29)           3 with value (4 31)
% 0.21/0.54  ;     2 with value (4 27)
% 0.21/0.54  Evaluation took:
% 0.21/0.54    0.054 seconds of real time
% 0.21/0.54    0.047806 seconds of user run time
% 0.21/0.54    0.005623 seconds of system run time
% 0.21/0.54    0 calls to %EVAL
% 0.21/0.54    0 page faults and
% 0.21/0.54    3,557,824 bytes consed.
% 0.21/0.54  :PROOF-FOUND
% 0.21/0.54  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T00:59:34
% 0.21/0.55  :PROOF-FOUND
% 0.21/0.55  * 
%------------------------------------------------------------------------------