TSTP Solution File: SYN208-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN208-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n020.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 11:58:27 EDT 2022

% Result   : Unsatisfiable 0.47s 0.65s
% Output   : Refutation 0.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   19 (  12 unt;   0 nHn;  15 RR)
%            Number of literals    :   30 (   0 equ;  15 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   17 (   8 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_1,axiom,
    s0(d),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_1) ).

cnf(axiom_14,axiom,
    p0(b,X),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_14) ).

cnf(axiom_19,axiom,
    m0(X,d,Y),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_19) ).

cnf(axiom_36,axiom,
    q0(a,b),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_36) ).

cnf(rule_085,axiom,
    ( p1(X,X,X)
    | ~ p0(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_085) ).

cnf(rule_125,axiom,
    ( s1(X)
    | ~ p0(X,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_125) ).

cnf(rule_126,axiom,
    ( s1(X)
    | ~ q0(X,Y)
    | ~ s1(Z) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_126) ).

cnf(rule_181,axiom,
    ( q2(X,X,X)
    | ~ p1(X,X,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_181) ).

cnf(rule_190,axiom,
    ( s2(d)
    | ~ s1(a)
    | ~ s0(d) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_190) ).

cnf(249,plain,
    ( s2(d)
    | ~ s1(a) ),
    inference('REWRITE',[status(thm)],[rule_190,axiom_1]) ).

cnf(rule_273,axiom,
    ( s3(X,Y)
    | ~ q2(Z,X,Z)
    | ~ s2(X)
    | ~ m0(Z,U,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_273) ).

cnf(prove_this,negated_conjecture,
    ~ s3(d,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(391,plain,
    s1(b),
    inference('HYPERRESOLVE',[status(thm)],[rule_125,axiom_14]) ).

cnf(418,plain,
    p1(X,X,X),
    inference('HYPERRESOLVE',[status(thm)],[rule_085,axiom_14]) ).

cnf(420,plain,
    q2(X,X,X),
    inference('REWRITE',[status(thm)],[rule_181,418]) ).

cnf(506,plain,
    ~ s2(d),
    inference('UR-RESOLVE',[status(thm)],[rule_273,prove_this,420,axiom_19]) ).

cnf(507,plain,
    ~ s1(a),
    inference('REWRITE',[status(thm)],[249,506]) ).

cnf(509,plain,
    ~ s1(X),
    inference('UR-RESOLVE',[status(thm)],[rule_126,507,axiom_36]) ).

cnf(510,plain,
    $false,
    inference('REWRITE',[status(thm)],[391,509]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SYN208-1 : TPTP v8.1.0. Released v1.1.0.
% 0.08/0.14  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n020.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Tue Jul 12 08:13:57 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.21/0.48  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.49  * 
% 0.21/0.49  * 
% 0.21/0.49  #<PACKAGE "SNARK-USER">
% 0.21/0.49  * 
% 0.21/0.49  SNARK-TPTP-OPTIONS
% 0.21/0.49  * 
% 0.21/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49   (USE-FACTORING :POS)
% 0.21/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49  * 
% 0.21/0.49  "."
% 0.21/0.49  * 
% 0.21/0.49  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-12T08:13:58
% 0.21/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-07-12T08:13:58
% 0.21/0.58  WARNING:
% 0.21/0.58     |m5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.21/0.58  WARNING:
% 0.21/0.58     |q5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.21/0.58  WARNING:
% 0.21/0.58     |r5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65  
% 0.47/0.65  
% 0.47/0.65  #||
% 0.47/0.65  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.47/0.65  % SZS output start Refutation
% See solution above
% 0.47/0.65  ||#
% 0.47/0.65  
% 0.47/0.65  ; Summary of computation:
% 0.47/0.65  ;       865 formulas have been input or derived (from 244 formulas).
% 0.47/0.65  ;       510 (59%) were retained.  Of these,
% 0.47/0.65  ;          258 (51%) were simplified or subsumed later,
% 0.47/0.65  ;          252 (49%) are still being kept.
% 0.47/0.65  ; 
% 0.47/0.65  ; Run time in seconds excluding printing time:
% 0.47/0.65  ;     0.062  40%   Read assertion file          (1 call)
% 0.47/0.65  ;     0.010   6%   Assert                       (369 calls)
% 0.47/0.65  ;     0.030  19%   Process new row              (735 calls)
% 0.47/0.65  ;     0.004   3%   Resolution                   (486 calls)
% 0.47/0.65  ;     0.000   0%   Paramodulation               (243 calls)
% 0.47/0.65  ;     0.002   1%   Condensing                   (324 calls)
% 0.47/0.65  ;     0.003   2%   Forward subsumption          (324 calls)
% 0.47/0.65  ;     0.008   5%   Backward subsumption         (310 calls)
% 0.47/0.65  ;     0.000   0%   Clause clause subsumption    (163 calls)
% 0.47/0.65  ;     0.003   2%   Forward simplification       (696 calls)
% 0.47/0.65  ;     0.005   3%   Backward simplification      (463 calls)
% 0.47/0.65  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.47/0.65  ;     0.001   1%   Purity testing               (1 call)
% 0.47/0.65  ;     0.027  17%   Other
% 0.47/0.65  ;     0.155        Total
% 0.47/0.65  ;     0.156        Real time
% 0.47/0.65  ; 
% 0.47/0.65  ; Term-hash-array has 601 terms in all.
% 0.47/0.65  ; Feature-vector-row-index has 147 entries (273 at peak, 310 added, 163 deleted).
% 0.47/0.65  ; Feature-vector-row-index has 550 nodes (936 at peak, 1,078 added, 528 deleted).
% 0.47/0.65  ;  Retrieved 139 possibly forward subsuming rows in 324 calls.
% 0.47/0.65  ;  Retrieved 151 possibly backward subsumed rows in 310 calls.
% 0.47/0.65  ; Path-index has 421 entries (528 at peak, 652 added, 231 deleted).
% 0.47/0.65  ; Path-index has 433 nodes (465 at peak, 525 added, 92 deleted).
% 0.47/0.65  ; Trie-index has 421 entries (528 at peak, 652 added, 231 deleted).
% 0.47/0.65  ; Trie-index has 517 nodes (587 at peak, 781 added, 264 deleted).
% 0.47/0.65  ; Retrieved 331 generalization terms in 773 calls.
% 0.47/0.65  ; Retrieved 432 instance terms in 152 calls.
% 0.47/0.65  ; Retrieved 5,827 unifiable terms in 1,188 calls.
% 0.47/0.65  ; 
% 0.47/0.65  ; The agenda of backward simplifiable rows to process has 2 entries:
% 0.47/0.65  ;     2 with value 0
% 0.47/0.65  ; The agenda of rows to process has 1 entry:
% 0.47/0.65  ;     1 with value 5
% 0.47/0.65  ; The agenda of input rows to give has 17 entries:
% 0.47/0.65  ;     2 with value 17              6 with value 19               2 with value 21
% 0.47/0.65  ;     4 with value 18              2 with value 20               1 with value 22
% 0.47/0.65  ; The agenda of rows to give has 64 entries:
% 0.47/0.65  ;    11 with value (4 4)          12 with value (4 5)           41 with value (4 6)
% 0.47/0.65  Evaluation took:
% 0.47/0.65    0.156 seconds of real time
% 0.47/0.65    0.15052 seconds of user run time
% 0.47/0.65    0.00603 seconds of system run time
% 0.47/0.65    0 calls to %EVAL
% 0.47/0.65    0 page faults and
% 0.47/0.65    8,881,008 bytes consed.
% 0.47/0.65  :PROOF-FOUND
% 0.47/0.65  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-12T08:13:58
% 0.47/0.65  :PROOF-FOUND
% 0.47/0.65  * 
%------------------------------------------------------------------------------