TSTP Solution File: SYN221-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN221-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n015.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 11:58:33 EDT 2022

% Result   : Unsatisfiable 0.37s 0.63s
% Output   : Refutation 0.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   11 (   7 unt;   0 nHn;   6 RR)
%            Number of literals    :   16 (   0 equ;   6 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   16 (   8 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_14,axiom,
    p0(b,X),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_14) ).

cnf(axiom_19,axiom,
    m0(X,d,Y),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_19) ).

cnf(rule_085,axiom,
    ( p1(X,X,X)
    | ~ p0(Y,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_085) ).

cnf(rule_110,axiom,
    ( q1(X,X,X)
    | ~ m0(Y,Z,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_110) ).

cnf(rule_154,axiom,
    ( p2(X,X,X)
    | ~ q1(X,X,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_154) ).

cnf(rule_216,axiom,
    ( l3(X,X)
    | ~ p1(X,X,Y)
    | ~ p2(Y,Z,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_216) ).

cnf(prove_this,negated_conjecture,
    ~ l3(X,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

cnf(423,plain,
    p1(X,X,X),
    inference('HYPERRESOLVE',[status(thm)],[rule_085,axiom_14]) ).

cnf(450,plain,
    q1(X,X,X),
    inference('HYPERRESOLVE',[status(thm)],[rule_110,axiom_19]) ).

cnf(452,plain,
    p2(X,X,X),
    inference('REWRITE',[status(thm)],[rule_154,450]) ).

cnf(500,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[rule_216,prove_this,452]),423]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN221-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n015.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 20:51:39 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 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 2022-07-11T20:51:39
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-07-11T20:51:39
% 0.37/0.56  WARNING:
% 0.37/0.56     |m5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.37/0.56  WARNING:
% 0.37/0.56     |q5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.37/0.56  WARNING:
% 0.37/0.56     |r5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.37/0.63  
% 0.37/0.63  
% 0.37/0.63  #||
% 0.37/0.63  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/0.63  % SZS output start Refutation
% See solution above
% 0.37/0.63  ||#
% 0.37/0.63  
% 0.37/0.63  ; Summary of computation:
% 0.37/0.63  ;       802 formulas have been input or derived (from 207 formulas).
% 0.37/0.63  ;       500 (62%) were retained.  Of these,
% 0.37/0.63  ;          222 (44%) were simplified or subsumed later,
% 0.37/0.63  ;          278 (56%) are still being kept.
% 0.37/0.63  ; 
% 0.37/0.63  ; Run time in seconds excluding printing time:
% 0.37/0.63  ;     0.062  41%   Read assertion file          (1 call)
% 0.37/0.63  ;     0.010   7%   Assert                       (369 calls)
% 0.37/0.63  ;     0.020  13%   Process new row              (680 calls)
% 0.37/0.63  ;     0.009   6%   Resolution                   (412 calls)
% 0.37/0.63  ;     0.000   0%   Paramodulation               (206 calls)
% 0.37/0.63  ;     0.002   1%   Condensing                   (322 calls)
% 0.37/0.63  ;     0.005   3%   Forward subsumption          (322 calls)
% 0.37/0.63  ;     0.006   4%   Backward subsumption         (308 calls)
% 0.37/0.63  ;     0.001   1%   Clause clause subsumption    (163 calls)
% 0.37/0.63  ;     0.005   3%   Forward simplification       (657 calls)
% 0.37/0.63  ;     0.004   3%   Backward simplification      (453 calls)
% 0.37/0.63  ;     0.002   1%   Sortal reasoning             (32 calls)
% 0.37/0.63  ;     0.002   1%   Purity testing               (1 call)
% 0.37/0.63  ;     0.023  15%   Other
% 0.37/0.63  ;     0.151        Total
% 0.37/0.63  ;     0.152        Real time
% 0.37/0.63  ; 
% 0.37/0.63  ; Term-hash-array has 593 terms in all.
% 0.37/0.63  ; Feature-vector-row-index has 170 entries (273 at peak, 308 added, 138 deleted).
% 0.37/0.63  ; Feature-vector-row-index has 612 nodes (936 at peak, 1,061 added, 449 deleted).
% 0.37/0.63  ;  Retrieved 139 possibly forward subsuming rows in 322 calls.
% 0.37/0.63  ;  Retrieved 151 possibly backward subsumed rows in 308 calls.
% 0.37/0.63  ; Path-index has 456 entries (521 at peak, 637 added, 181 deleted).
% 0.37/0.63  ; Path-index has 439 nodes (461 at peak, 517 added, 78 deleted).
% 0.37/0.63  ; Trie-index has 456 entries (521 at peak, 637 added, 181 deleted).
% 0.37/0.63  ; Trie-index has 537 nodes (577 at peak, 757 added, 220 deleted).
% 0.37/0.63  ; Retrieved 292 generalization terms in 733 calls.
% 0.37/0.63  ; Retrieved 383 instance terms in 144 calls.
% 0.37/0.63  ; Retrieved 4,790 unifiable terms in 946 calls.
% 0.37/0.63  ; 
% 0.37/0.63  ; The agenda of input rows to give has 57 entries:
% 0.37/0.63  ;     4 with value 14             11 with value 17               5 with value 20
% 0.37/0.63  ;    14 with value 15              4 with value 18               2 with value 21
% 0.37/0.63  ;    10 with value 16              6 with value 19               1 with value 22
% 0.37/0.63  ; The agenda of rows to give has 65 entries:
% 0.37/0.63  ;    13 with value (4 4)          11 with value (4 5)           41 with value (4 6)
% 0.37/0.63  Evaluation took:
% 0.37/0.63    0.153 seconds of real time
% 0.37/0.63    0.138494 seconds of user run time
% 0.37/0.63    0.014106 seconds of system run time
% 0.37/0.63    0 calls to %EVAL
% 0.37/0.63    0 page faults and
% 0.37/0.63    8,273,728 bytes consed.
% 0.37/0.63  :PROOF-FOUND
% 0.37/0.63  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T20:51:40
% 0.37/0.63  :PROOF-FOUND
% 0.37/0.63  * 
%------------------------------------------------------------------------------