TSTP Solution File: SYN636-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN636-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n013.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 12:02:12 EDT 2022

% Result   : Unsatisfiable 0.41s 0.58s
% Output   : Refutation 0.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   11 (   7 unt;   2 nHn;   9 RR)
%            Number of literals    :   18 (   0 equ;   8 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;   7 con; 0-3 aty)
%            Number of variables   :   15 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(not_p3_7,negated_conjecture,
    ~ p3(c23,f8(c24)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p3_7) ).

cnf(p3_8,negated_conjecture,
    p3(f4(f6(X,f7(Y,Z))),Y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_8) ).

cnf(p3_17,negated_conjecture,
    ( p3(X,Y)
    | ~ p3(Z,X)
    | ~ p3(Z,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_17) ).

cnf(not_p10_25,negated_conjecture,
    ~ p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p10_25) ).

cnf(p21_27,negated_conjecture,
    ( p21(f12(f13(c28,c29)),f12(f13(c28,X)))
    | ~ p22(X,f15(f6(c25,f7(c23,c26)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_27) ).

cnf(p3_34,negated_conjecture,
    ( p3(f4(X),f8(c24))
    | p22(f20(X,Y,Z),f15(X))
    | p10(f11(X,c27,Y),f11(X,c27,Z)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_34) ).

cnf(p3_37,negated_conjecture,
    ( p3(f4(X),f8(c24))
    | p10(f11(X,c27,Y),f11(X,c27,Z))
    | ~ p21(f12(f13(Y,Z)),f12(f13(Y,f20(X,Y,Z)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_37) ).

cnf(44,plain,
    ~ p3(f4(f6(X,f7(c23,Y))),f8(c24)),
    inference('UR-RESOLVE',[status(thm)],[p3_17,not_p3_7,p3_8]) ).

cnf(132,plain,
    p22(f20(f6(c25,f7(c23,c26)),c28,c29),f15(f6(c25,f7(c23,c26)))),
    inference('UR-RESOLVE',[status(thm)],[p3_34,44,not_p10_25]) ).

cnf(135,plain,
    ~ p21(f12(f13(c28,c29)),f12(f13(c28,f20(f6(c25,f7(c23,c26)),c28,c29)))),
    inference('UR-RESOLVE',[status(thm)],[p3_37,44,not_p10_25]) ).

cnf(315,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[p21_27,132]),135]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SYN636-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.12  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n013.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 06:03:14 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45  * 
% 0.18/0.45  * 
% 0.18/0.46  #<PACKAGE "SNARK-USER">
% 0.18/0.46  * 
% 0.18/0.46  SNARK-TPTP-OPTIONS
% 0.18/0.46  * 
% 0.18/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46   (USE-FACTORING :POS)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46  * 
% 0.18/0.46  "."
% 0.18/0.46  * 
% 0.18/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T06:03:15
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-07-12T06:03:15
% 0.41/0.58  
% 0.41/0.58  
% 0.41/0.58  #||
% 0.41/0.58  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.41/0.58  % SZS output start Refutation
% See solution above
% 0.41/0.59  ||#
% 0.41/0.59  
% 0.41/0.59  ; Summary of computation:
% 0.41/0.59  ;       667 formulas have been input or derived (from 62 formulas).
% 0.41/0.59  ;       315 (47%) were retained.  Of these,
% 0.41/0.59  ;          315 (100%) are still being kept.
% 0.41/0.59  ; 
% 0.41/0.59  ; Run time in seconds:
% 0.41/0.59  ;     0.009   7%   Read assertion file          (1 call)
% 0.41/0.59  ;     0.001   1%   Assert                       (40 calls)
% 0.41/0.59  ;     0.039  30%   Process new row              (613 calls)
% 0.41/0.59  ;     0.010   8%   Resolution                   (122 calls)
% 0.41/0.59  ;     0.001   1%   Paramodulation               (61 calls)
% 0.41/0.59  ;     0.000   0%   Factoring                    (4 calls)
% 0.41/0.59  ;     0.002   2%   Condensing                   (167 calls)
% 0.41/0.59  ;     0.016  12%   Forward subsumption          (167 calls)
% 0.41/0.59  ;     0.005   4%   Backward subsumption         (159 calls)
% 0.41/0.59  ;     0.003   2%   Clause clause subsumption    (477 calls)
% 0.41/0.59  ;     0.013  10%   Forward simplification       (613 calls)
% 0.41/0.59  ;     0.003   2%   Backward simplification      (315 calls)
% 0.41/0.59  ;     0.000   0%   Ordering                     (408 calls)
% 0.41/0.59  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.41/0.59  ;     0.000   0%   Purity testing               (1 call)
% 0.41/0.59  ;     0.026  20%   Other
% 0.41/0.59  ;     0.128        Total
% 0.41/0.59  ;     0.129        Real time
% 0.41/0.59  ; 
% 0.41/0.59  ; Term-hash-array has 769 terms in all.
% 0.41/0.59  ; Feature-vector-row-index has 159 entries (159 at peak, 159 added, 0 deleted).
% 0.41/0.59  ; Feature-vector-row-index has 977 nodes (977 at peak, 977 added, 0 deleted).
% 0.41/0.59  ;  Retrieved 380 possibly forward subsuming rows in 167 calls.
% 0.41/0.59  ;  Retrieved 106 possibly backward subsumed rows in 159 calls.
% 0.41/0.59  ; Path-index has 779 entries (779 at peak, 779 added, 0 deleted).
% 0.41/0.59  ; Path-index has 1,715 nodes (1,715 at peak, 1,715 added, 0 deleted).
% 0.41/0.59  ; Trie-index has 779 entries (779 at peak, 779 added, 0 deleted).
% 0.41/0.59  ; Trie-index has 2,848 nodes (2,848 at peak, 2,848 added, 0 deleted).
% 0.41/0.59  ; Retrieved 1,178 generalization terms in 901 calls.
% 0.41/0.59  ; Retrieved 155 instance terms in 155 calls.
% 0.41/0.59  ; Retrieved 5,141 unifiable terms in 687 calls.
% 0.41/0.59  ; 
% 0.41/0.59  ; The agenda of rows to give has 253 entries:
% 0.41/0.59  ;     4 with value (4 21)         11 with value (4 30)           4 with value (4 42)
% 0.41/0.59  ;    10 with value (4 22)         10 with value (4 31)           8 with value (4 44)
% 0.41/0.59  ;    11 with value (4 23)          6 with value (4 32)           8 with value (4 45)
% 0.41/0.59  ;     8 with value (4 24)         20 with value (4 33)           8 with value (4 46)
% 0.41/0.59  ;     9 with value (4 25)         10 with value (4 35)          24 with value (4 47)
% 0.41/0.59  ;    10 with value (4 26)          2 with value (4 36)           8 with value (4 48)
% 0.41/0.59  ;     9 with value (4 27)          8 with value (4 37)          16 with value (4 55)
% 0.41/0.59  ;    16 with value (4 28)          8 with value (4 40)           8 with value (4 56)
% 0.41/0.59  ;     9 with value (4 29)          8 with value (4 41)
% 0.41/0.59  Evaluation took:
% 0.41/0.59    0.13 seconds of real time
% 0.41/0.59    0.121902 seconds of user run time
% 0.41/0.59    0.007796 seconds of system run time
% 0.41/0.59    0 calls to %EVAL
% 0.41/0.59    0 page faults and
% 0.41/0.59    8,820,216 bytes consed.
% 0.41/0.59  :PROOF-FOUND
% 0.41/0.59  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T06:03:15
% 0.41/0.59  :PROOF-FOUND
% 0.41/0.59  * 
%------------------------------------------------------------------------------