TSTP Solution File: SYN618-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN618-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n006.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 12:02:05 EDT 2022

% Result   : Unsatisfiable 0.39s 0.57s
% Output   : Refutation 0.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   17 (  13 unt;   0 nHn;  14 RR)
%            Number of literals    :   26 (   0 equ;  13 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   7 con; 0-2 aty)
%            Number of variables   :   14 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p5_3,negated_conjecture,
    p5(X,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_3) ).

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

cnf(p13_8,negated_conjecture,
    p13(c23,c21),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p13_8) ).

cnf(p13_9,negated_conjecture,
    p13(c19,c23),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p13_9) ).

cnf(p2_12,negated_conjecture,
    p2(c17,f3(c16)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_12) ).

cnf(p5_16,negated_conjecture,
    p5(f8(f3(c16),c23),f6(f7(c22))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_16) ).

cnf(not_p5_17,negated_conjecture,
    ~ p5(f8(f3(c16),c20),f6(f7(c22))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p5_17) ).

cnf(p5_22,negated_conjecture,
    ( p5(X,Y)
    | ~ p5(Z,X)
    | ~ p5(Z,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_22) ).

cnf(p2_24,negated_conjecture,
    ( p2(X,Y)
    | ~ p2(Z,X)
    | ~ p2(Z,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_24) ).

cnf(p5_30,negated_conjecture,
    ( p5(f8(X,Y),f8(Z,U))
    | ~ p2(X,Z)
    | ~ p5(Y,U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_30) ).

cnf(p5_31,negated_conjecture,
    ( p5(X,c20)
    | ~ p13(X,c21)
    | ~ p13(c19,X)
    | ~ p5(f8(c17,X),f6(f7(c22))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_31) ).

cnf(39,plain,
    ~ p5(f8(f3(c16),c23),f8(f3(c16),c20)),
    inference('UR-RESOLVE',[status(thm)],[p5_22,not_p5_17,p5_16]) ).

cnf(40,plain,
    p2(f3(c16),c17),
    inference('HYPERRESOLVE',[status(thm)],[p2_24,p2_12,p2_5]) ).

cnf(48,plain,
    p5(f8(f3(c16),X),f8(c17,X)),
    inference('HYPERRESOLVE',[status(thm)],[p5_30,40,p5_3]) ).

cnf(86,plain,
    ~ p5(c23,c20),
    inference('UR-RESOLVE',[status(thm)],[p5_30,39,p2_5]) ).

cnf(93,plain,
    ~ p5(f8(c17,c23),f6(f7(c22))),
    inference('UR-RESOLVE',[status(thm)],[p5_31,86,p13_8,p13_9]) ).

cnf(94,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[p5_22,48,p5_16]),93]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14  % Problem  : SYN618-1 : TPTP v8.1.0. Released v2.5.0.
% 0.13/0.15  % Command  : run-snark %s %d
% 0.14/0.37  % Computer : n006.cluster.edu
% 0.14/0.37  % Model    : x86_64 x86_64
% 0.14/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37  % Memory   : 8042.1875MB
% 0.14/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37  % CPULimit : 300
% 0.14/0.37  % WCLimit  : 600
% 0.14/0.37  % DateTime : Mon Jul 11 22:13:20 EDT 2022
% 0.14/0.37  % CPUTime  : 
% 0.22/0.50  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.51  * 
% 0.22/0.51  * 
% 0.22/0.52  #<PACKAGE "SNARK-USER">
% 0.22/0.52  * 
% 0.22/0.52  SNARK-TPTP-OPTIONS
% 0.22/0.52  * 
% 0.22/0.52  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.52   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.52   (USE-FACTORING :POS)
% 0.22/0.52   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.52   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.52   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.52   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.52   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.52   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.52   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.52   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.52   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.52   (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.52  * 
% 0.22/0.52  "."
% 0.22/0.52  * 
% 0.22/0.52  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T22:13:20
% 0.22/0.52  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n006.cluster.edu at 2022-07-11T22:13:20
% 0.39/0.57  
% 0.39/0.57  
% 0.39/0.57  #||
% 0.39/0.57  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/0.57  % SZS output start Refutation
% See solution above
% 0.39/0.58  ||#
% 0.39/0.58  
% 0.39/0.58  ; Summary of computation:
% 0.39/0.58  ;       285 formulas have been input or derived (from 55 formulas).
% 0.39/0.58  ;        94 (33%) were retained.  Of these,
% 0.39/0.58  ;            1 ( 1%) were simplified or subsumed later,
% 0.39/0.58  ;           93 (99%) are still being kept.
% 0.39/0.58  ; 
% 0.39/0.58  ; Run time in seconds excluding printing time:
% 0.39/0.58  ;     0.005  10%   Read assertion file          (1 call)
% 0.39/0.58  ;     0.001   2%   Assert                       (33 calls)
% 0.39/0.58  ;     0.006  12%   Process new row              (205 calls)
% 0.39/0.58  ;     0.008  15%   Resolution                   (108 calls)
% 0.39/0.58  ;     0.000   0%   Paramodulation               (54 calls)
% 0.39/0.58  ;     0.000   0%   Condensing                   (17 calls)
% 0.39/0.58  ;     0.001   2%   Forward subsumption          (17 calls)
% 0.39/0.58  ;     0.001   2%   Backward subsumption         (17 calls)
% 0.39/0.58  ;     0.005  10%   Forward simplification       (205 calls)
% 0.39/0.58  ;     0.000   0%   Backward simplification      (94 calls)
% 0.39/0.58  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.39/0.58  ;     0.001   2%   Purity testing               (1 call)
% 0.39/0.58  ;     0.024  46%   Other
% 0.39/0.58  ;     0.052        Total
% 0.39/0.58  ;     0.054        Real time
% 0.39/0.58  ; 
% 0.39/0.58  ; Term-hash-array has 171 terms in all.
% 0.39/0.58  ; Feature-vector-row-index has 16 entries (17 at peak, 17 added, 1 deleted).
% 0.39/0.58  ; Feature-vector-row-index has 63 nodes (72 at peak, 72 added, 9 deleted).
% 0.39/0.58  ;  Retrieved 1 possibly forward subsuming row in 17 calls.
% 0.39/0.58  ;  Retrieved 0 possibly backward subsumed rows in 17 calls.
% 0.39/0.58  ; Path-index has 180 entries (180 at peak, 180 added, 0 deleted).
% 0.39/0.58  ; Path-index has 209 nodes (209 at peak, 209 added, 0 deleted).
% 0.39/0.58  ; Trie-index has 180 entries (180 at peak, 180 added, 0 deleted).
% 0.39/0.58  ; Trie-index has 500 nodes (500 at peak, 500 added, 0 deleted).
% 0.39/0.58  ; Retrieved 256 generalization terms in 231 calls.
% 0.39/0.58  ; Retrieved 76 instance terms in 76 calls.
% 0.39/0.58  ; Retrieved 3,125 unifiable terms in 922 calls.
% 0.39/0.58  ; 
% 0.39/0.58  ; The agenda of rows to process has 19 entries:
% 0.39/0.58  ;     3 with value 13              1 with value 15               4 with value 20
% 0.39/0.58  ;     6 with value 14              1 with value 19               4 with value 22
% 0.39/0.58  ; The agenda of rows to give has 39 entries:
% 0.39/0.58  ;     8 with value (4 13)          4 with value (4 17)           2 with value (4 20)
% 0.39/0.58  ;     3 with value (4 14)          6 with value (4 18)           5 with value (4 21)
% 0.39/0.58  ;     1 with value (4 15)          5 with value (4 19)           3 with value (4 22)
% 0.39/0.58  ;     2 with value (4 16)
% 0.39/0.58  Evaluation took:
% 0.39/0.58    0.055 seconds of real time
% 0.39/0.58    0.048418 seconds of user run time
% 0.39/0.58    0.006826 seconds of system run time
% 0.39/0.58    0 calls to %EVAL
% 0.39/0.58    0 page faults and
% 0.39/0.58    3,324,832 bytes consed.
% 0.39/0.58  :PROOF-FOUND
% 0.39/0.58  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T22:13:20
% 0.39/0.58  :PROOF-FOUND
% 0.39/0.58  * 
%------------------------------------------------------------------------------