TSTP Solution File: SYN595-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN595-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n009.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 12:01:56 EDT 2022

% Result   : Unsatisfiable 0.55s 0.72s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   11 (   8 unt;   0 nHn;   9 RR)
%            Number of literals    :   18 (   0 equ;   9 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    9 (   3 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;   5 con; 0-2 aty)
%            Number of variables   :   11 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p2_1,negated_conjecture,
    p2(X,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_1) ).

cnf(p7_2,negated_conjecture,
    p7(X,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_2) ).

cnf(p14_5,negated_conjecture,
    p14(c18,f3(f4(f5(c17)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p14_5) ).

cnf(p15_6,negated_conjecture,
    ( p15(X,Y)
    | ~ p14(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15_6) ).

cnf(p14_8,negated_conjecture,
    p14(c19,f6(f3(f4(f5(c17))),c16)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p14_8) ).

cnf(p2_17,negated_conjecture,
    p2(c19,f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_17) ).

cnf(p15_19,negated_conjecture,
    ( p15(X,Y)
    | ~ p2(Z,X)
    | ~ p2(U,Y)
    | ~ p15(Z,U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15_19) ).

cnf(not_p2_26,negated_conjecture,
    ( ~ p2(X,f3(c17))
    | ~ p14(Y,f3(f4(f5(c17))))
    | ~ p15(Z,f6(f3(f4(f5(c17))),c16))
    | ~ p7(f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),f3(c17)),f9(f11(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),f10(f11(f3(f4(f5(c17)))),c22)))),f8(f10(f12(f11(f3(f5(c17)))),Y),f8(f10(f11(f3(f4(f5(c17)))),X),f9(f11(Z),f10(f11(f3(f4(f5(c17)))),c22))))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_26) ).

cnf(39,plain,
    p15(c19,f6(f3(f4(f5(c17))),c16)),
    inference('HYPERRESOLVE',[status(thm)],[p15_6,p14_8]) ).

cnf(77,plain,
    ~ p15(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),f6(f3(f4(f5(c17))),c16)),
    inference('UR-RESOLVE',[status(thm)],[not_p2_26,p2_1,p14_5,p7_2]) ).

cnf(1138,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[p15_19,39,p2_17,p2_1]),77]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12  % Problem  : SYN595-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.13  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n009.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Tue Jul 12 04:07:07 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  * 
% 0.20/0.46  #<PACKAGE "SNARK-USER">
% 0.20/0.46  * 
% 0.20/0.46  SNARK-TPTP-OPTIONS
% 0.20/0.46  * 
% 0.20/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46   (USE-FACTORING :POS)
% 0.20/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46  * 
% 0.20/0.46  "."
% 0.20/0.46  * 
% 0.20/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T04:07:07
% 0.20/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n009.cluster.edu at 2022-07-12T04:07:07
% 0.55/0.72  
% 0.55/0.72  
% 0.55/0.72  #||
% 0.55/0.72  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.55/0.72  % SZS output start Refutation
% See solution above
% 0.55/0.72  ||#
% 0.55/0.72  
% 0.55/0.72  ; Summary of computation:
% 0.55/0.72  ;      2845 formulas have been input or derived (from 73 formulas).
% 0.55/0.72  ;      1138 (40%) were retained.  Of these,
% 0.55/0.72  ;         1138 (100%) are still being kept.
% 0.55/0.72  ; 
% 0.55/0.72  ; Run time in seconds excluding printing time:
% 0.55/0.72  ;     0.007   3%   Read assertion file          (1 call)
% 0.55/0.72  ;     0.001   0%   Assert                       (27 calls)
% 0.55/0.72  ;     0.112  43%   Process new row              (2,679 calls)
% 0.55/0.72  ;     0.069  27%   Resolution                   (144 calls)
% 0.55/0.72  ;     0.000   0%   Paramodulation               (72 calls)
% 0.55/0.72  ;     0.000   0%   Condensing                   (19 calls)
% 0.55/0.72  ;     0.001   0%   Forward subsumption          (19 calls)
% 0.55/0.72  ;     0.000   0%   Backward subsumption         (19 calls)
% 0.55/0.72  ;     0.000   0%   Clause clause subsumption    (6 calls)
% 0.55/0.72  ;     0.033  13%   Forward simplification       (2,679 calls)
% 0.55/0.72  ;     0.010   4%   Backward simplification      (1,138 calls)
% 0.55/0.72  ;     0.000   0%   Ordering                     (2 calls)
% 0.55/0.72  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.55/0.72  ;     0.000   0%   Purity testing               (1 call)
% 0.55/0.72  ;     0.025  10%   Other
% 0.55/0.72  ;     0.258        Total
% 0.55/0.72  ;     0.260        Real time
% 0.55/0.72  ; 
% 0.55/0.72  ; Term-hash-array has 2,573 terms in all.
% 0.55/0.72  ; Feature-vector-row-index has 19 entries (19 at peak, 19 added, 0 deleted).
% 0.55/0.72  ; Feature-vector-row-index has 119 nodes (119 at peak, 119 added, 0 deleted).
% 0.55/0.72  ;  Retrieved 8 possibly forward subsuming rows in 19 calls.
% 0.55/0.72  ;  Retrieved 0 possibly backward subsumed rows in 19 calls.
% 0.55/0.72  ; Path-index has 2,580 entries (2,580 at peak, 2,580 added, 0 deleted).
% 0.55/0.72  ; Path-index has 2,337 nodes (2,337 at peak, 2,337 added, 0 deleted).
% 0.55/0.72  ; Trie-index has 2,580 entries (2,580 at peak, 2,580 added, 0 deleted).
% 0.55/0.72  ; Trie-index has 15,046 nodes (15,046 at peak, 15,046 added, 0 deleted).
% 0.55/0.72  ; Retrieved 5,159 generalization terms in 2,705 calls.
% 0.55/0.72  ; Retrieved 1,125 instance terms in 1,118 calls.
% 0.55/0.72  ; Retrieved 108,326 unifiable terms in 3,691 calls.
% 0.55/0.72  ; 
% 0.55/0.72  ; The agenda of rows to process has 3 entries:
% 0.55/0.72  ;     1 with value 28              1 with value 74               1 with value 75
% 0.55/0.72  ; The agenda of rows to give has 1065 entries:
% 0.55/0.72  ;    28 with value (4 14)        153 with value (4 24)           5 with value (4 43)
% 0.55/0.72  ;    14 with value (4 15)         46 with value (4 25)           1 with value (4 44)
% 0.55/0.72  ;    37 with value (4 16)         13 with value (4 27)           1 with value (4 45)
% 0.55/0.72  ;    71 with value (4 17)         13 with value (4 28)           7 with value (4 47)
% 0.55/0.72  ;    53 with value (4 18)         17 with value (4 29)           7 with value (4 48)
% 0.55/0.72  ;    93 with value (4 19)         25 with value (4 30)           8 with value (4 49)
% 0.55/0.72  ;   119 with value (4 20)          2 with value (4 32)          10 with value (4 50)
% 0.55/0.72  ;    63 with value (4 21)          1 with value (4 38)           1 with value (4 52)
% 0.55/0.72  ;   203 with value (4 22)          1 with value (4 41)           2 with value (4 68)
% 0.55/0.72  ;    71 with value (4 23)
% 0.55/0.72  Evaluation took:
% 0.55/0.72    0.26 seconds of real time
% 0.55/0.72    0.239054 seconds of user run time
% 0.55/0.72    0.021224 seconds of system run time
% 0.55/0.72    [Run times include 0.013 seconds GC run time.]
% 0.55/0.72    0 calls to %EVAL
% 0.55/0.72    0 page faults and
% 0.55/0.72    17,935,120 bytes consed.
% 0.55/0.72  :PROOF-FOUND
% 0.55/0.72  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T04:07:07
% 0.55/0.72  :PROOF-FOUND
% 0.55/0.72  * 
%------------------------------------------------------------------------------