TSTP Solution File: MSC015-1.005 by CARINE---0.734

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CARINE---0.734
% Problem  : MSC015-1.005 : TPTP v5.0.0. Released v3.5.0.
% Transfm  : add_equality
% Format   : carine
% Command  : carine %s t=%d xo=off uct=32000

% Computer : art02.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 2018MB
% OS       : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sun Nov 28 02:01:27 EST 2010

% Result   : Unsatisfiable 0.14s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Command entered:
% /home/graph/tptp/Systems/CARINE---0.734/carine /tmp/SystemOnTPTP15440/MSC/MSC015-1.005+noeq.car t=300 xo=off uct=32000
% CARINE version 0.734 (Dec 2003)
% Initializing tables ... done.
% Parsing ....... done.
% Calculating time slices ... done.
% Building Lookup Tables ... done.
% Looking for a proof at depth = 1 ...
% 	t = 0 secs [nr = 14] [nf = 0] [nu = 6] [ut = 6]
% Looking for a proof at depth = 2 ...
% 	t = 0 secs [nr = 62] [nf = 0] [nu = 26] [ut = 12]
% Looking for a proof at depth = 3 ...
% 	t = 0 secs [nr = 224] [nf = 0] [nu = 112] [ut = 29]
% Looking for a proof at depth = 4 ...
% +================================================+
% |                                                |
% | Congratulations!!! ........ A proof was found. |
% |                                                |
% +================================================+
% Base Clauses and Unit Clauses used in proof:
% ============================================
% Base Clauses:
% -------------
% B0: ~p_5(s1_0(),s1_0(),s1_0(),s1_0(),s1_0())
% B1: p_5(s0_0(),s0_0(),s0_0(),s0_0(),s0_0())
% B2: ~p_5(x0,x1,x2,x3,s0_0()) | p_5(x0,x1,x2,x3,s1_0())
% B3: ~p_5(x0,x1,x2,s0_0(),s1_0()) | p_5(x0,x1,x2,s1_0(),s0_0())
% B4: ~p_5(x0,x1,s0_0(),s1_0(),s1_0()) | p_5(x0,x1,s1_0(),s0_0(),s0_0())
% B6: ~p_5(s0_0(),s1_0(),s1_0(),s1_0(),s1_0()) | p_5(s1_0(),s0_0(),s0_0(),s0_0(),s0_0())
% Unit Clauses:
% --------------
% U2: < d1 v0 dv0 f0 c5 t5 td1 > ~p_5(s1_0(),s1_0(),s1_0(),s1_0(),s0_0())
% U3: < d1 v0 dv0 f0 c5 t5 td1 > p_5(s0_0(),s0_0(),s0_0(),s0_0(),s1_0())
% U4: < d1 v0 dv0 f0 c5 t5 td1 > p_5(s0_0(),s0_0(),s0_0(),s1_0(),s0_0())
% U6: < d2 v0 dv0 f0 c5 t5 td1 > ~p_5(s1_0(),s1_0(),s1_0(),s0_0(),s0_0())
% U8: < d2 v0 dv0 f0 c5 t5 td1 > p_5(s0_0(),s0_0(),s1_0(),s0_0(),s0_0())
% U9: < d2 v0 dv0 f0 c5 t5 td1 > ~p_5(s1_0(),s1_0(),s0_0(),s1_0(),s0_0())
% U12: < d3 v0 dv0 f0 c5 t5 td1 > p_5(s0_0(),s0_0(),s1_0(),s1_0(),s1_0())
% U15: < d3 v0 dv0 f0 c5 t5 td1 > ~p_5(s1_0(),s0_0(),s1_0(),s1_0(),s1_0())
% U16: < d3 v0 dv0 f0 c5 t5 td1 > p_5(s0_0(),s1_0(),s0_0(),s1_0(),s0_0())
% U17: < d3 v0 dv0 f0 c5 t5 td1 > ~p_5(s1_0(),s0_0(),s1_0(),s0_0(),s0_0())
% U22: < d3 v0 dv0 f0 c5 t5 td1 > p_5(s0_0(),s1_0(),s1_0(),s0_0(),s1_0())
% U27: < d3 v0 dv0 f0 c5 t5 td1 > p_5(s1_0(),s0_0(),s0_0(),s0_0(),s0_0())
% U32: < d4 v0 dv0 f0 c5 t5 td1 > p_5(s1_0(),s0_0(),s1_0(),s0_0(),s0_0())
% --------------- Start of Proof ---------------
% Derivation of unit clause U2:
% ~p_5(s1_0(),s1_0(),s1_0(),s1_0(),s1_0()) ....... B0
% ~p_5(x0,x1,x2,x3,s0_0()) | p_5(x0,x1,x2,x3,s1_0()) ....... B2
%  ~p_5(s1_0(), s1_0(), s1_0(), s1_0(), s0_0()) ....... R1 [B0:L0, B2:L1]
% Derivation of unit clause U3:
% p_5(s0_0(),s0_0(),s0_0(),s0_0(),s0_0()) ....... B1
% ~p_5(x0,x1,x2,x3,s0_0()) | p_5(x0,x1,x2,x3,s1_0()) ....... B2
%  p_5(s0_0(), s0_0(), s0_0(), s0_0(), s1_0()) ....... R1 [B1:L0, B2:L0]
% Derivation of unit clause U4:
% ~p_5(x0,x1,x2,s0_0(),s1_0()) | p_5(x0,x1,x2,s1_0(),s0_0()) ....... B3
% p_5(s0_0(),s0_0(),s0_0(),s0_0(),s1_0()) ....... U3
%  p_5(s0_0(), s0_0(), s0_0(), s1_0(), s0_0()) ....... R1 [B3:L0, U3:L0]
% Derivation of unit clause U6:
% ~p_5(x0,x1,x2,x3,s0_0()) | p_5(x0,x1,x2,x3,s1_0()) ....... B2
% ~p_5(x0,x1,x2,s0_0(),s1_0()) | p_5(x0,x1,x2,s1_0(),s0_0()) ....... B3
%  ~p_5(x0, x1, x2, s0_0(), s0_0()) | p_5(x0, x1, x2, s1_0(), s0_0()) ....... R1 [B2:L1, B3:L0]
%  ~p_5(s1_0(),s1_0(),s1_0(),s1_0(),s0_0()) ....... U2
%   ~p_5(s1_0(), s1_0(), s1_0(), s0_0(), s0_0()) ....... R2 [R1:L1, U2:L0]
% Derivation of unit clause U8:
% ~p_5(x0,x1,x2,x3,s0_0()) | p_5(x0,x1,x2,x3,s1_0()) ....... B2
% ~p_5(x0,x1,s0_0(),s1_0(),s1_0()) | p_5(x0,x1,s1_0(),s0_0(),s0_0()) ....... B4
%  ~p_5(x0, x1, s0_0(), s1_0(), s0_0()) | p_5(x0, x1, s1_0(), s0_0(), s0_0()) ....... R1 [B2:L1, B4:L0]
%  p_5(s0_0(),s0_0(),s0_0(),s1_0(),s0_0()) ....... U4
%   p_5(s0_0(), s0_0(), s1_0(), s0_0(), s0_0()) ....... R2 [R1:L0, U4:L0]
% Derivation of unit clause U9:
% ~p_5(x0,x1,x2,x3,s0_0()) | p_5(x0,x1,x2,x3,s1_0()) ....... B2
% ~p_5(x0,x1,s0_0(),s1_0(),s1_0()) | p_5(x0,x1,s1_0(),s0_0(),s0_0()) ....... B4
%  ~p_5(x0, x1, s0_0(), s1_0(), s0_0()) | p_5(x0, x1, s1_0(), s0_0(), s0_0()) ....... R1 [B2:L1, B4:L0]
%  ~p_5(s1_0(),s1_0(),s1_0(),s0_0(),s0_0()) ....... U6
%   ~p_5(s1_0(), s1_0(), s0_0(), s1_0(), s0_0()) ....... R2 [R1:L1, U6:L0]
% Derivation of unit clause U12:
% ~p_5(x0,x1,x2,x3,s0_0()) | p_5(x0,x1,x2,x3,s1_0()) ....... B2
% ~p_5(x0,x1,x2,s0_0(),s1_0()) | p_5(x0,x1,x2,s1_0(),s0_0()) ....... B3
%  ~p_5(x0, x1, x2, s0_0(), s0_0()) | p_5(x0, x1, x2, s1_0(), s0_0()) ....... R1 [B2:L1, B3:L0]
%  ~p_5(x0,x1,x2,x3,s0_0()) | p_5(x0,x1,x2,x3,s1_0()) ....... B2
%   ~p_5(x0, x1, x2, s0_0(), s0_0()) | p_5(x0, x1, x2, s1_0(), s1_0()) ....... R2 [R1:L1, B2:L0]
%   p_5(s0_0(),s0_0(),s1_0(),s0_0(),s0_0()) ....... U8
%    p_5(s0_0(), s0_0(), s1_0(), s1_0(), s1_0()) ....... R3 [R2:L0, U8:L0]
% Derivation of unit clause U15:
% ~p_5(x0,x1,x2,x3,s0_0()) | p_5(x0,x1,x2,x3,s1_0()) ....... B2
% ~p_5(x0,x1,x2,s0_0(),s1_0()) | p_5(x0,x1,x2,s1_0(),s0_0()) ....... B3
%  ~p_5(x0, x1, x2, s0_0(), s0_0()) | p_5(x0, x1, x2, s1_0(), s0_0()) ....... R1 [B2:L1, B3:L0]
%  ~p_5(x0,s0_0(),s1_0(),s1_0(),s1_0()) | p_5(x0,s1_0(),s0_0(),s0_0(),s0_0()) ....... B5
%   p_5(x0, s1_0(), s0_0(), s1_0(), s0_0()) | ~p_5(x0, s0_0(), s1_0(), s1_0(), s1_0()) ....... R2 [R1:L0, B5:L1]
%   ~p_5(s1_0(),s1_0(),s0_0(),s1_0(),s0_0()) ....... U9
%    ~p_5(s1_0(), s0_0(), s1_0(), s1_0(), s1_0()) ....... R3 [R2:L0, U9:L0]
% Derivation of unit clause U16:
% ~p_5(x0,x1,x2,x3,s0_0()) | p_5(x0,x1,x2,x3,s1_0()) ....... B2
% ~p_5(x0,x1,x2,s0_0(),s1_0()) | p_5(x0,x1,x2,s1_0(),s0_0()) ....... B3
%  ~p_5(x0, x1, x2, s0_0(), s0_0()) | p_5(x0, x1, x2, s1_0(), s0_0()) ....... R1 [B2:L1, B3:L0]
%  ~p_5(x0,s0_0(),s1_0(),s1_0(),s1_0()) | p_5(x0,s1_0(),s0_0(),s0_0(),s0_0()) ....... B5
%   p_5(x0, s1_0(), s0_0(), s1_0(), s0_0()) | ~p_5(x0, s0_0(), s1_0(), s1_0(), s1_0()) ....... R2 [R1:L0, B5:L1]
%   p_5(s0_0(),s0_0(),s1_0(),s1_0(),s1_0()) ....... U12
%    p_5(s0_0(), s1_0(), s0_0(), s1_0(), s0_0()) ....... R3 [R2:L1, U12:L0]
% Derivation of unit clause U17:
% ~p_5(x0,x1,x2,x3,s0_0()) | p_5(x0,x1,x2,x3,s1_0()) ....... B2
% ~p_5(x0,x1,x2,s0_0(),s1_0()) | p_5(x0,x1,x2,s1_0(),s0_0()) ....... B3
%  p_5(x0, x1, x2, s1_0(), s1_0()) | ~p_5(x0, x1, x2, s0_0(), s1_0()) ....... R1 [B2:L0, B3:L1]
%  ~p_5(x0,x1,x2,x3,s0_0()) | p_5(x0,x1,x2,x3,s1_0()) ....... B2
%   p_5(x0, x1, x2, s1_0(), s1_0()) | ~p_5(x0, x1, x2, s0_0(), s0_0()) ....... R2 [R1:L1, B2:L1]
%   ~p_5(s1_0(),s0_0(),s1_0(),s1_0(),s1_0()) ....... U15
%    ~p_5(s1_0(), s0_0(), s1_0(), s0_0(), s0_0()) ....... R3 [R2:L0, U15:L0]
% Derivation of unit clause U22:
% ~p_5(x0,x1,x2,x3,s0_0()) | p_5(x0,x1,x2,x3,s1_0()) ....... B2
% ~p_5(x0,x1,s0_0(),s1_0(),s1_0()) | p_5(x0,x1,s1_0(),s0_0(),s0_0()) ....... B4
%  ~p_5(x0, x1, s0_0(), s1_0(), s0_0()) | p_5(x0, x1, s1_0(), s0_0(), s0_0()) ....... R1 [B2:L1, B4:L0]
%  ~p_5(x0,x1,x2,x3,s0_0()) | p_5(x0,x1,x2,x3,s1_0()) ....... B2
%   ~p_5(x0, x1, s0_0(), s1_0(), s0_0()) | p_5(x0, x1, s1_0(), s0_0(), s1_0()) ....... R2 [R1:L1, B2:L0]
%   p_5(s0_0(),s1_0(),s0_0(),s1_0(),s0_0()) ....... U16
%    p_5(s0_0(), s1_0(), s1_0(), s0_0(), s1_0()) ....... R3 [R2:L0, U16:L0]
% Derivation of unit clause U27:
% ~p_5(x0,x1,x2,x3,s0_0()) | p_5(x0,x1,x2,x3,s1_0()) ....... B2
% ~p_5(s0_0(),s1_0(),s1_0(),s1_0(),s1_0()) | p_5(s1_0(),s0_0(),s0_0(),s0_0(),s0_0()) ....... B6
%  ~p_5(s0_0(), s1_0(), s1_0(), s1_0(), s0_0()) | p_5(s1_0(), s0_0(), s0_0(), s0_0(), s0_0()) ....... R1 [B2:L1, B6:L0]
%  ~p_5(x0,x1,x2,s0_0(),s1_0()) | p_5(x0,x1,x2,s1_0(),s0_0()) ....... B3
%   p_5(s1_0(), s0_0(), s0_0(), s0_0(), s0_0()) | ~p_5(s0_0(), s1_0(), s1_0(), s0_0(), s1_0()) ....... R2 [R1:L0, B3:L1]
%   p_5(s0_0(),s1_0(),s1_0(),s0_0(),s1_0()) ....... U22
%    p_5(s1_0(), s0_0(), s0_0(), s0_0(), s0_0()) ....... R3 [R2:L1, U22:L0]
% Derivation of unit clause U32:
% ~p_5(x0,x1,x2,x3,s0_0()) | p_5(x0,x1,x2,x3,s1_0()) ....... B2
% ~p_5(x0,x1,x2,s0_0(),s1_0()) | p_5(x0,x1,x2,s1_0(),s0_0()) ....... B3
%  ~p_5(x0, x1, x2, s0_0(), s0_0()) | p_5(x0, x1, x2, s1_0(), s0_0()) ....... R1 [B2:L1, B3:L0]
%  ~p_5(x0,x1,x2,x3,s0_0()) | p_5(x0,x1,x2,x3,s1_0()) ....... B2
%   ~p_5(x0, x1, x2, s0_0(), s0_0()) | p_5(x0, x1, x2, s1_0(), s1_0()) ....... R2 [R1:L1, B2:L0]
%   ~p_5(x0,x1,s0_0(),s1_0(),s1_0()) | p_5(x0,x1,s1_0(),s0_0(),s0_0()) ....... B4
%    ~p_5(x0, x1, s0_0(), s0_0(), s0_0()) | p_5(x0, x1, s1_0(), s0_0(), s0_0()) ....... R3 [R2:L1, B4:L0]
%    p_5(s1_0(),s0_0(),s0_0(),s0_0(),s0_0()) ....... U27
%     p_5(s1_0(), s0_0(), s1_0(), s0_0(), s0_0()) ....... R4 [R3:L0, U27:L0]
% Derivation of the empty clause:
% p_5(s1_0(),s0_0(),s1_0(),s0_0(),s0_0()) ....... U32
% ~p_5(s1_0(),s0_0(),s1_0(),s0_0(),s0_0()) ....... U17
%  [] ....... R1 [U32:L0, U17:L0]
% --------------- End of Proof ---------------
% PROOF FOUND!
% ---------------------------------------------
% |                Statistics                 |
% ---------------------------------------------
% Profile 3: Performance Statistics:
% ==================================
% Total number of generated clauses: 272
% 	resolvents: 272	factors: 0
% Number of unit clauses generated: 153
% % unit clauses generated to total clauses generated: 56.25
% Number of unit clauses constructed and retained at depth [x]:
% =============================================================
% [0] = 2		[1] = 4		[2] = 6		[3] = 17	
% [4] = 4		
% Total = 33
% Number of generated clauses having [x] literals:
% ------------------------------------------------
% [1] = 153	[2] = 119	
% Average size of a generated clause: 2.0
% Number of unit clauses per predicate list:
% ==========================================
% [0] p_5		(+)15	(-)18
% 			------------------
% 		Total:	(+)15	(-)18
% Total number of unit clauses retained: 33
% Number of clauses skipped because of their length: 0
% N base clauses skippped in resolve-with-all-base-clauses
% 	because of the shortest resolvents table: 0
% Number of successful unifications: 303
% Number of unification failures: 460
% Number of unit to unit unification failures: 260
% N literal unification failure due to lookup root_id table: 750
% N base clause resolution failure due to lookup table: 266
% N UC-BCL resolution dropped due to lookup table: 0
% Max entries in substitution set: 15
% N unit clauses dropped because they exceeded max values: 33
% N unit clauses dropped because too much nesting: 0
% N unit clauses not constrcuted because table was full: 0
% N unit clauses dropped because UCFA table was full: 0
% Max number of terms in a unit clause: 5
% Max term depth in a unit clause: 1
% Number of states in UCFA table: 46
% Total number of terms of all unit clauses in table: 165
% Max allowed number of states in UCFA: 80000
% Ratio n states used/total allowed states: 0.00
% Ratio n states used/total unit clauses terms: 0.28
% Number of symbols (columns) in UCFA: 37
% Profile 2: Number of calls to:
% ==============================
% PTUnify() = 763
% ConstructUnitClause() = 64
% Profile 1: Time spent in:
% =========================
% ConstructUnitClause() : 0.00 secs
% --------------------------------------------------------
% |                                                      |
%   Inferences per sec: inf
% |                                                      |
% --------------------------------------------------------
% Elapsed time: 0 secs
% CPU time: 0.14 secs
% 
%------------------------------------------------------------------------------