TSTP Solution File: SYN088-1.010 by CARINE---0.734

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CARINE---0.734
% Problem  : SYN088-1.010 : TPTP v5.0.0. Released v1.0.0.
% Transfm  : add_equality
% Format   : carine
% Command  : carine %s t=%d xo=off uct=32000

% Computer : art04.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 08:30:48 EST 2010

% Result   : Unsatisfiable 0.16s
% Output   : Refutation 0.16s
% 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/SystemOnTPTP1641/SYN/SYN088-1.010+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 = 0] [nf = 0] [nu = 0] [ut = 21]
% Looking for a proof at depth = 2 ...
% 	t = 0 secs [nr = 0] [nf = 0] [nu = 0] [ut = 21]
% Looking for a proof at depth = 3 ...
% 	t = 0 secs [nr = 0] [nf = 0] [nu = 0] [ut = 21]
% Looking for a proof at depth = 4 ...
% 	t = 0 secs [nr = 0] [nf = 0] [nu = 0] [ut = 21]
% Looking for a proof at depth = 5 ...
% 	t = 0 secs [nr = 0] [nf = 0] [nu = 0] [ut = 21]
% Looking for a proof at depth = 6 ...
% 	t = 0 secs [nr = 0] [nf = 0] [nu = 0] [ut = 21]
% Looking for a proof at depth = 7 ...
% 	t = 0 secs [nr = 0] [nf = 0] [nu = 0] [ut = 21]
% Looking for a proof at depth = 8 ...
% 	t = 0 secs [nr = 0] [nf = 0] [nu = 0] [ut = 21]
% Looking for a proof at depth = 9 ...
% 	t = 0 secs [nr = 21] [nf = 0] [nu = 0] [ut = 21]
% Looking for a proof at depth = 10 ...
% +================================================+
% |                                                |
% | Congratulations!!! ........ A proof was found. |
% |                                                |
% +================================================+
% Base Clauses and Unit Clauses used in proof:
% ============================================
% Base Clauses:
% -------------
% B0: ~p_10(a_0(),a_0(),a_0(),a_0(),a_0(),a_0(),a_0(),a_0(),a_0(),a_0())
% B21: ~q_10_1(x9) | ~q_1_1(x0) | ~q_2_1(x1) | ~q_3_1(x2) | ~q_4_1(x3) | ~q_5_1(x4) | ~q_6_1(x5) | ~q_7_1(x6) | ~q_8_1(x7) | ~q_9_1(x8) | p_10(x0,x1,x2,x3,x4,x5,x6,x7,x8,x9)
% Unit Clauses:
% --------------
% U1: < d0 v0 dv0 f0 c1 t1 td1 b > q_10_1(a_0())
% U3: < d0 v0 dv0 f0 c1 t1 td1 b > q_1_1(a_0())
% U5: < d0 v0 dv0 f0 c1 t1 td1 b > q_2_1(a_0())
% U7: < d0 v0 dv0 f0 c1 t1 td1 b > q_3_1(a_0())
% U9: < d0 v0 dv0 f0 c1 t1 td1 b > q_4_1(a_0())
% U11: < d0 v0 dv0 f0 c1 t1 td1 b > q_5_1(a_0())
% U13: < d0 v0 dv0 f0 c1 t1 td1 b > q_6_1(a_0())
% U15: < d0 v0 dv0 f0 c1 t1 td1 b > q_7_1(a_0())
% U17: < d0 v0 dv0 f0 c1 t1 td1 b > q_8_1(a_0())
% U19: < d0 v0 dv0 f0 c1 t1 td1 b > q_9_1(a_0())
% U21: < d10 v0 dv0 f0 c1 t1 td1 > ~q_9_1(a_0())
% --------------- Start of Proof ---------------
% Derivation of unit clause U1:
% q_10_1(a_0()) ....... U1
% Derivation of unit clause U3:
% q_1_1(a_0()) ....... U3
% Derivation of unit clause U5:
% q_2_1(a_0()) ....... U5
% Derivation of unit clause U7:
% q_3_1(a_0()) ....... U7
% Derivation of unit clause U9:
% q_4_1(a_0()) ....... U9
% Derivation of unit clause U11:
% q_5_1(a_0()) ....... U11
% Derivation of unit clause U13:
% q_6_1(a_0()) ....... U13
% Derivation of unit clause U15:
% q_7_1(a_0()) ....... U15
% Derivation of unit clause U17:
% q_8_1(a_0()) ....... U17
% Derivation of unit clause U19:
% q_9_1(a_0()) ....... U19
% Derivation of unit clause U21:
% ~p_10(a_0(),a_0(),a_0(),a_0(),a_0(),a_0(),a_0(),a_0(),a_0(),a_0()) ....... B0
% ~q_10_1(x9) | ~q_1_1(x0) | ~q_2_1(x1) | ~q_3_1(x2) | ~q_4_1(x3) | ~q_5_1(x4) | ~q_6_1(x5) | ~q_7_1(x6) | ~q_8_1(x7) | ~q_9_1(x8) | p_10(x0,x1,x2,x3,x4,x5,x6,x7,x8,x9) ....... B21
%  ~q_10_1(a_0()) | ~q_1_1(a_0()) | ~q_2_1(a_0()) | ~q_3_1(a_0()) | ~q_4_1(a_0()) | ~q_5_1(a_0()) | ~q_6_1(a_0()) | ~q_7_1(a_0()) | ~q_8_1(a_0()) | ~q_9_1(a_0()) ....... R1 [B0:L0, B21:L10]
%  q_10_1(a_0()) ....... U1
%   ~q_1_1(a_0()) | ~q_2_1(a_0()) | ~q_3_1(a_0()) | ~q_4_1(a_0()) | ~q_5_1(a_0()) | ~q_6_1(a_0()) | ~q_7_1(a_0()) | ~q_8_1(a_0()) | ~q_9_1(a_0()) ....... R2 [R1:L0, U1:L0]
%   q_1_1(a_0()) ....... U3
%    ~q_2_1(a_0()) | ~q_3_1(a_0()) | ~q_4_1(a_0()) | ~q_5_1(a_0()) | ~q_6_1(a_0()) | ~q_7_1(a_0()) | ~q_8_1(a_0()) | ~q_9_1(a_0()) ....... R3 [R2:L0, U3:L0]
%    q_2_1(a_0()) ....... U5
%     ~q_3_1(a_0()) | ~q_4_1(a_0()) | ~q_5_1(a_0()) | ~q_6_1(a_0()) | ~q_7_1(a_0()) | ~q_8_1(a_0()) | ~q_9_1(a_0()) ....... R4 [R3:L0, U5:L0]
%     q_3_1(a_0()) ....... U7
%      ~q_4_1(a_0()) | ~q_5_1(a_0()) | ~q_6_1(a_0()) | ~q_7_1(a_0()) | ~q_8_1(a_0()) | ~q_9_1(a_0()) ....... R5 [R4:L0, U7:L0]
%      q_4_1(a_0()) ....... U9
%       ~q_5_1(a_0()) | ~q_6_1(a_0()) | ~q_7_1(a_0()) | ~q_8_1(a_0()) | ~q_9_1(a_0()) ....... R6 [R5:L0, U9:L0]
%       q_5_1(a_0()) ....... U11
%        ~q_6_1(a_0()) | ~q_7_1(a_0()) | ~q_8_1(a_0()) | ~q_9_1(a_0()) ....... R7 [R6:L0, U11:L0]
%        q_6_1(a_0()) ....... U13
%         ~q_7_1(a_0()) | ~q_8_1(a_0()) | ~q_9_1(a_0()) ....... R8 [R7:L0, U13:L0]
%         q_7_1(a_0()) ....... U15
%          ~q_8_1(a_0()) | ~q_9_1(a_0()) ....... R9 [R8:L0, U15:L0]
%          q_8_1(a_0()) ....... U17
%           ~q_9_1(a_0()) ....... R10 [R9:L0, U17:L0]
% Derivation of the empty clause:
% ~q_9_1(a_0()) ....... U21
% q_9_1(a_0()) ....... U19
%  [] ....... R1 [U21:L0, U19:L0]
% --------------- End of Proof ---------------
% PROOF FOUND!
% ---------------------------------------------
% |                Statistics                 |
% ---------------------------------------------
% Profile 3: Performance Statistics:
% ==================================
% Total number of generated clauses: 31
% 	resolvents: 31	factors: 0
% Number of unit clauses generated: 1
% % unit clauses generated to total clauses generated: 3.23
% Number of unit clauses constructed and retained at depth [x]:
% =============================================================
% [0] = 21	[10] = 1		
% Total = 22
% Number of generated clauses having [x] literals:
% ------------------------------------------------
% [1] = 1	[2] = 1	[3] = 1	[4] = 1	[5] = 1	[6] = 1	
% [7] = 1	[8] = 1	[9] = 1	[10] = 22	
% Average size of a generated clause: 9.0
% Number of unit clauses per predicate list:
% ==========================================
% [0] q_10_1		(+)2	(-)0
% [1] q_1_1		(+)2	(-)0
% [2] q_2_1		(+)2	(-)0
% [3] q_3_1		(+)2	(-)0
% [4] q_4_1		(+)2	(-)0
% [5] q_5_1		(+)2	(-)0
% [6] q_6_1		(+)2	(-)0
% [7] q_7_1		(+)2	(-)0
% [8] q_8_1		(+)2	(-)0
% [9] q_9_1		(+)2	(-)1
% [10] p_10		(+)0	(-)1
% 			------------------
% 		Total:	(+)20	(-)2
% Total number of unit clauses retained: 22
% Number of clauses skipped because of their length: 189
% N base clauses skippped in resolve-with-all-base-clauses
% 	because of the shortest resolvents table: 0
% Number of successful unifications: 41
% Number of unification failures: 0
% Number of unit to unit unification failures: 0
% N literal unification failure due to lookup root_id table: 220
% N base clause resolution failure due to lookup table: 0
% N UC-BCL resolution dropped due to lookup table: 0
% Max entries in substitution set: 10
% N unit clauses dropped because they exceeded max values: 0
% 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: 10
% Max term depth in a unit clause: 1
% Number of states in UCFA table: 24
% Total number of terms of all unit clauses in table: 31
% Max allowed number of states in UCFA: 112000
% Ratio n states used/total allowed states: 0.00
% Ratio n states used/total unit clauses terms: 0.77
% Number of symbols (columns) in UCFA: 47
% Profile 2: Number of calls to:
% ==============================
% PTUnify() = 41
% ConstructUnitClause() = 1
% Profile 1: Time spent in:
% =========================
% ConstructUnitClause() : 0.00 secs
% --------------------------------------------------------
% |                                                      |
%   Inferences per sec: inf
% |                                                      |
% --------------------------------------------------------
% Elapsed time: 0 secs
% CPU time: 0.16 secs
% 
%------------------------------------------------------------------------------