TSTP Solution File: SYN619-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN619-1 : 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 12:02:06 EDT 2022

% Result   : Unsatisfiable 0.20s 0.53s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   21 (  12 unt;   7 nHn;  19 RR)
%            Number of literals    :   35 (   0 equ;  12 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;   7 con; 0-2 aty)
%            Number of variables   :   13 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p2_5,negated_conjecture,
    p2(X,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_5) ).

cnf(p17_6,negated_conjecture,
    p17(X,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17_6) ).

cnf(p18_7,negated_conjecture,
    p18(c24,f6(c25)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_7) ).

cnf(not_p18_8,negated_conjecture,
    ~ p18(c24,f6(f7(c22,c23))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p18_8) ).

cnf(p17_9,negated_conjecture,
    ( p17(X,Y)
    | ~ p17(f3(X),Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17_9) ).

cnf(p18_24,negated_conjecture,
    ( p18(X,f6(c19))
    | p2(f14(X),c20)
    | ~ p18(X,f6(c25)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_24) ).

cnf(p18_27,negated_conjecture,
    ( p18(X,f6(c19))
    | p17(f3(c21),f15(X))
    | ~ p18(X,f6(c25)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_27) ).

cnf(not_p2_32,negated_conjecture,
    ( ~ p2(X,c20)
    | ~ p17(c21,Y)
    | ~ p8(c24,f9(f13(X,Y),Z)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_32) ).

cnf(p18_33,negated_conjecture,
    ( p18(X,f6(c19))
    | p8(X,f9(f13(f14(X),f15(X)),f16(X)))
    | ~ p18(X,f6(c25)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_33) ).

cnf(p18_34,negated_conjecture,
    ( p18(X,f6(f7(c22,c23)))
    | p8(X,f9(f13(c20,c21),f11(f12(f7(c22,c23)))))
    | ~ p18(X,f6(c19)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_34) ).

cnf(36,plain,
    ( p18(c24,f6(c19))
    | p2(f14(c24),c20) ),
    inference('HYPERRESOLVE',[status(thm)],[p18_24,p18_7]) ).

cnf(37,plain,
    ~ p8(c24,f9(f13(c20,c21),X)),
    inference('UR-RESOLVE',[status(thm)],[not_p2_32,p2_5,p17_6]) ).

cnf(38,plain,
    ( p18(c24,f6(c19))
    | p17(f3(c21),f15(c24)) ),
    inference('HYPERRESOLVE',[status(thm)],[p18_27,p18_7]) ).

cnf(39,plain,
    ( p18(c24,f6(c19))
    | p8(c24,f9(f13(f14(c24),f15(c24)),f16(c24))) ),
    inference('HYPERRESOLVE',[status(thm)],[p18_33,p18_7]) ).

cnf(47,plain,
    ~ p18(c24,f6(c19)),
    inference('UR-RESOLVE',[status(thm)],[p18_34,37,not_p18_8]) ).

cnf(48,plain,
    p2(f14(c24),c20),
    inference('REWRITE',[status(thm)],[36,47]) ).

cnf(49,plain,
    p17(f3(c21),f15(c24)),
    inference('REWRITE',[status(thm)],[38,47]) ).

cnf(50,plain,
    p8(c24,f9(f13(f14(c24),f15(c24)),f16(c24))),
    inference('REWRITE',[status(thm)],[39,47]) ).

cnf(69,plain,
    p17(c21,f15(c24)),
    inference('HYPERRESOLVE',[status(thm)],[p17_9,49]) ).

cnf(85,plain,
    ~ p8(c24,f9(f13(f14(c24),f15(c24)),X)),
    inference('UR-RESOLVE',[status(thm)],[not_p2_32,69,48]) ).

cnf(86,plain,
    $false,
    inference('REWRITE',[status(thm)],[50,85]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SYN619-1 : TPTP v8.1.0. Released v2.5.0.
% 0.04/0.14  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n012.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Tue Jul 12 06:38:12 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.47  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48  * 
% 0.20/0.48  * 
% 0.20/0.49  #<PACKAGE "SNARK-USER">
% 0.20/0.49  * 
% 0.20/0.49  SNARK-TPTP-OPTIONS
% 0.20/0.49  * 
% 0.20/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49   (USE-FACTORING :POS)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49  * 
% 0.20/0.49  "."
% 0.20/0.49  * 
% 0.20/0.49  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T06:38:12
% 0.20/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n012.cluster.edu at 2022-07-12T06:38:12
% 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  ;       224 formulas have been input or derived (from 47 formulas).
% 0.20/0.54  ;        86 (38%) were retained.  Of these,
% 0.20/0.54  ;            4 ( 5%) were simplified or subsumed later,
% 0.20/0.54  ;           82 (95%) are still being kept.
% 0.20/0.54  ; 
% 0.20/0.54  ; Run time in seconds excluding printing time:
% 0.20/0.54  ;     0.006  12%   Read assertion file          (1 call)
% 0.20/0.54  ;     0.002   4%   Assert                       (34 calls)
% 0.20/0.54  ;     0.009  19%   Process new row              (183 calls)
% 0.20/0.54  ;     0.004   8%   Resolution                   (92 calls)
% 0.20/0.54  ;     0.000   0%   Paramodulation               (46 calls)
% 0.20/0.54  ;     0.000   0%   Condensing                   (29 calls)
% 0.20/0.54  ;     0.000   0%   Forward subsumption          (29 calls)
% 0.20/0.54  ;     0.001   2%   Backward subsumption         (28 calls)
% 0.20/0.54  ;     0.000   0%   Clause clause subsumption    (4 calls)
% 0.20/0.54  ;     0.001   2%   Forward simplification       (183 calls)
% 0.20/0.54  ;     0.003   6%   Backward simplification      (86 calls)
% 0.20/0.54  ;     0.000   0%   Ordering                     (12 calls)
% 0.20/0.54  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.54  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.54  ;     0.022  46%   Other
% 0.20/0.54  ;     0.048        Total
% 0.20/0.54  ;     0.051        Real time
% 0.20/0.54  ; 
% 0.20/0.54  ; Term-hash-array has 184 terms in all.
% 0.20/0.54  ; Feature-vector-row-index has 25 entries (28 at peak, 28 added, 3 deleted).
% 0.20/0.54  ; Feature-vector-row-index has 117 nodes (156 at peak, 156 added, 39 deleted).
% 0.20/0.54  ;  Retrieved 4 possibly forward subsuming rows in 29 calls.
% 0.20/0.54  ;  Retrieved 1 possibly backward subsumed row in 28 calls.
% 0.20/0.54  ; Path-index has 188 entries (191 at peak, 199 added, 11 deleted).
% 0.20/0.54  ; Path-index has 340 nodes (343 at peak, 356 added, 16 deleted).
% 0.20/0.54  ; Trie-index has 188 entries (191 at peak, 199 added, 11 deleted).
% 0.20/0.54  ; Trie-index has 445 nodes (450 at peak, 470 added, 25 deleted).
% 0.20/0.54  ; Retrieved 232 generalization terms in 222 calls.
% 0.20/0.54  ; Retrieved 58 instance terms in 57 calls.
% 0.20/0.54  ; Retrieved 1,545 unifiable terms in 411 calls.
% 0.20/0.54  ; 
% 0.20/0.54  ; The agenda of rows to give has 35 entries:
% 0.20/0.54  ;     3 with value (4 10)          7 with value (4 13)           1 with value (4 16)
% 0.20/0.54  ;     1 with value (4 11)          9 with value (4 14)           1 with value (4 17)
% 0.20/0.54  ;     4 with value (4 12)          8 with value (4 15)           1 with value (4 18)
% 0.20/0.54  Evaluation took:
% 0.20/0.54    0.051 seconds of real time
% 0.20/0.54    0.042115 seconds of user run time
% 0.20/0.54    0.008821 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    3,692,896 bytes consed.
% 0.20/0.54  :PROOF-FOUND
% 0.20/0.54  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T06:38:12
% 0.20/0.54  :PROOF-FOUND
% 0.20/0.54  * 
%------------------------------------------------------------------------------