TSTP Solution File: SYN652-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN652-1 : 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 12:02:18 EDT 2022

% Result   : Unsatisfiable 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   15 (  12 unt;   0 nHn;  10 RR)
%            Number of literals    :   20 (   0 equ;   7 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;   9 con; 0-2 aty)
%            Number of variables   :   15 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p4_5,negated_conjecture,
    p4(X,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_5) ).

cnf(p14_14,negated_conjecture,
    p14(X,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p14_14) ).

cnf(p4_16,negated_conjecture,
    p4(c34,f5(c35,c32)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_16) ).

cnf(p27_17,negated_conjecture,
    p27(f8(f10(c28,f13(c29,c30)),c32),c33),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p27_17) ).

cnf(not_p4_18,negated_conjecture,
    ~ p4(f5(c31,c33),f15(f17(c36,c31),c34)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p4_18) ).

cnf(p4_23,negated_conjecture,
    ( p4(X,Y)
    | ~ p4(Z,X)
    | ~ p4(Z,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_23) ).

cnf(p4_34,negated_conjecture,
    p4(f15(f17(c36,X),f5(c35,Y)),f5(X,Y)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_34) ).

cnf(p4_41,negated_conjecture,
    ( p4(f15(X,Y),f15(Z,U))
    | ~ p14(X,Z)
    | ~ p4(Y,U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_41) ).

cnf(p4_46,negated_conjecture,
    ( p4(f5(c31,X),f5(c31,Y))
    | ~ p27(f8(f10(c28,f13(c29,c30)),X),Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_46) ).

cnf(48,plain,
    p4(f5(c35,c32),c34),
    inference('HYPERRESOLVE',[status(thm)],[p4_23,p4_16,p4_5]) ).

cnf(54,plain,
    p4(f5(c31,c32),f5(c31,c33)),
    inference('HYPERRESOLVE',[status(thm)],[p4_46,p27_17]) ).

cnf(57,plain,
    p4(f15(X,f5(c35,c32)),f15(X,c34)),
    inference('HYPERRESOLVE',[status(thm)],[p4_41,48,p14_14]) ).

cnf(59,plain,
    ~ p4(f5(c31,c32),f15(f17(c36,c31),c34)),
    inference('UR-RESOLVE',[status(thm)],[p4_23,54,not_p4_18]) ).

cnf(64,plain,
    p4(f5(X,c32),f15(f17(c36,X),c34)),
    inference('HYPERRESOLVE',[status(thm)],[p4_23,57,p4_34]) ).

cnf(65,plain,
    $false,
    inference('REWRITE',[status(thm)],[59,64]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN652-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n013.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jul 11 23:17:00 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  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 0.20/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47   (USE-FACTORING :POS)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47  * 
% 0.20/0.47  "."
% 0.20/0.47  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T23:17:00
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-07-11T23:17:00
% 0.20/0.51  
% 0.20/0.51  
% 0.20/0.51  #||
% 0.20/0.51  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.51  % SZS output start Refutation
% See solution above
% 0.20/0.52  ||#
% 0.20/0.52  
% 0.20/0.52  ; Summary of computation:
% 0.20/0.52  ;       194 formulas have been input or derived (from 54 formulas).
% 0.20/0.52  ;        65 (34%) were retained.  Of these,
% 0.20/0.52  ;            1 ( 2%) were simplified or subsumed later,
% 0.20/0.52  ;           64 (98%) are still being kept.
% 0.20/0.52  ; 
% 0.20/0.52  ; Run time in seconds excluding printing time:
% 0.20/0.52  ;     0.008  17%   Read assertion file          (1 call)
% 0.20/0.52  ;     0.001   2%   Assert                       (47 calls)
% 0.20/0.52  ;     0.008  17%   Process new row              (135 calls)
% 0.20/0.52  ;     0.004   9%   Resolution                   (106 calls)
% 0.20/0.52  ;     0.000   0%   Paramodulation               (53 calls)
% 0.20/0.52  ;     0.000   0%   Condensing                   (27 calls)
% 0.20/0.52  ;     0.001   2%   Forward subsumption          (27 calls)
% 0.20/0.52  ;     0.000   0%   Backward subsumption         (27 calls)
% 0.20/0.52  ;     0.001   2%   Forward simplification       (135 calls)
% 0.20/0.52  ;     0.001   2%   Backward simplification      (65 calls)
% 0.20/0.52  ;     0.001   2%   Sortal reasoning             (32 calls)
% 0.20/0.52  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.52  ;     0.021  46%   Other
% 0.20/0.52  ;     0.046        Total
% 0.20/0.52  ;     0.047        Real time
% 0.20/0.52  ; 
% 0.20/0.52  ; Term-hash-array has 185 terms in all.
% 0.20/0.52  ; Feature-vector-row-index has 27 entries (27 at peak, 27 added, 0 deleted).
% 0.20/0.52  ; Feature-vector-row-index has 88 nodes (88 at peak, 88 added, 0 deleted).
% 0.20/0.52  ;  Retrieved 5 possibly forward subsuming rows in 27 calls.
% 0.20/0.52  ;  Retrieved 5 possibly backward subsumed rows in 27 calls.
% 0.20/0.52  ; Path-index has 195 entries (196 at peak, 196 added, 1 deleted).
% 0.20/0.52  ; Path-index has 519 nodes (519 at peak, 519 added, 0 deleted).
% 0.20/0.52  ; Trie-index has 195 entries (196 at peak, 196 added, 1 deleted).
% 0.20/0.52  ; Trie-index has 425 nodes (430 at peak, 430 added, 5 deleted).
% 0.20/0.52  ; Retrieved 169 generalization terms in 172 calls.
% 0.20/0.52  ; Retrieved 38 instance terms in 37 calls.
% 0.20/0.52  ; Retrieved 917 unifiable terms in 359 calls.
% 0.20/0.52  ; 
% 0.20/0.52  ; The agenda of rows to process has 7 entries:
% 0.20/0.52  ;     5 with value 15              1 with value 17               1 with value 20
% 0.20/0.52  ; The agenda of rows to give has 10 entries:
% 0.20/0.52  ;     3 with value (4 15)          1 with value (4 19)           1 with value (4 27)
% 0.20/0.52  ;     1 with value (4 16)          1 with value (4 20)           1 with value (4 32)
% 0.20/0.52  ;     2 with value (4 17)
% 0.20/0.52  Evaluation took:
% 0.20/0.52    0.047 seconds of real time
% 0.20/0.52    0.039752 seconds of user run time
% 0.20/0.52    0.007827 seconds of system run time
% 0.20/0.52    0 calls to %EVAL
% 0.20/0.52    0 page faults and
% 0.20/0.52    3,119,496 bytes consed.
% 0.20/0.52  :PROOF-FOUND
% 0.20/0.52  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T23:17:00
% 0.20/0.52  :PROOF-FOUND
% 0.20/0.52  * 
%------------------------------------------------------------------------------