TSTP Solution File: SYN590-1 by CARINE---0.734

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CARINE---0.734
% Problem  : SYN590-1 : TPTP v5.0.0. Released v2.5.0.
% 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 10:34:09 EST 2010

% Result   : Unsatisfiable 0.18s
% Output   : Refutation 0.18s
% 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/SystemOnTPTP14437/SYN/SYN590-1+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 = 158] [nf = 0] [nu = 122] [ut = 69]
% Looking for a proof at depth = 2 ...
% 	t = 0 secs [nr = 1079] [nf = 17] [nu = 666] [ut = 108]
% Looking for a proof at depth = 3 ...
% +================================================+
% |                                                |
% | Congratulations!!! ........ A proof was found. |
% |                                                |
% +================================================+
% Base Clauses and Unit Clauses used in proof:
% ============================================
% Base Clauses:
% -------------
% B0: p3_2(x0,x0)
% B4: p11_1(c16_0())
% B14: ~p10_2(f6_1(x0),f6_1(x1)) | p12_2(x0,x1)
% B15: ~p11_1(x0) | p11_1(f9_1(x0))
% B16: ~p11_1(x0) | p10_2(f4_1(f9_1(x0)),f4_1(x0))
% B19: ~p11_1(x0) | p3_2(f4_1(x0),f6_1(f8_1(x0)))
% B24: ~p11_1(x0) | ~p12_2(x1,c15_0()) | ~p3_2(f4_1(x0),f6_1(x1))
% B25: ~p10_2(x2,x3) | ~p3_2(x3,x1) | ~p3_2(x2,x0) | p10_2(x0,x1)
% Unit Clauses:
% --------------
% U6: < d0 v0 dv0 f2 c2 t4 td2 b nc > p3_2(f4_1(c16_0()),f6_1(c15_0()))
% U18: < d1 v0 dv0 f1 c1 t2 td2 > p11_1(f9_1(c16_0()))
% U19: < d1 v0 dv0 f3 c2 t5 td3 > p10_2(f4_1(f9_1(c16_0())),f4_1(c16_0()))
% U65: < d1 v0 dv0 f5 c2 t7 td4 > p3_2(f4_1(f9_1(c16_0())),f6_1(f8_1(f9_1(c16_0()))))
% U110: < d3 v0 dv0 f4 c2 t6 td4 > p10_2(f6_1(f8_1(f9_1(c16_0()))),f4_1(c16_0()))
% U136: < d3 v0 dv0 f4 c2 t6 td4 > p10_2(f6_1(f8_1(f9_1(c16_0()))),f6_1(c15_0()))
% U258: < d3 v0 dv0 f5 c2 t7 td4 > ~p3_2(f4_1(f9_1(c16_0())),f6_1(f8_1(f9_1(c16_0()))))
% --------------- Start of Proof ---------------
% Derivation of unit clause U6:
% p3_2(f4_1(c16_0()),f6_1(c15_0())) ....... U6
% Derivation of unit clause U18:
% p11_1(c16_0()) ....... B4
% ~p11_1(x0) | p11_1(f9_1(x0)) ....... B15
%  p11_1(f9_1(c16_0())) ....... R1 [B4:L0, B15:L0]
% Derivation of unit clause U19:
% p11_1(c16_0()) ....... B4
% ~p11_1(x0) | p10_2(f4_1(f9_1(x0)),f4_1(x0)) ....... B16
%  p10_2(f4_1(f9_1(c16_0())), f4_1(c16_0())) ....... R1 [B4:L0, B16:L0]
% Derivation of unit clause U65:
% ~p11_1(x0) | p3_2(f4_1(x0),f6_1(f8_1(x0))) ....... B19
% p11_1(f9_1(c16_0())) ....... U18
%  p3_2(f4_1(f9_1(c16_0())), f6_1(f8_1(f9_1(c16_0())))) ....... R1 [B19:L0, U18:L0]
% Derivation of unit clause U110:
% p3_2(x0,x0) ....... B0
% ~p10_2(x2,x3) | ~p3_2(x3,x1) | ~p3_2(x2,x0) | p10_2(x0,x1) ....... B25
%  ~p10_2(x0, x1) | ~p3_2(x0, x2) | p10_2(x2, x1) ....... R1 [B0:L0, B25:L1]
%  p10_2(f4_1(f9_1(c16_0())),f4_1(c16_0())) ....... U19
%   ~p3_2(f4_1(f9_1(c16_0())), x0) | p10_2(x0, f4_1(c16_0())) ....... R2 [R1:L0, U19:L0]
%   p3_2(f4_1(f9_1(c16_0())),f6_1(f8_1(f9_1(c16_0())))) ....... U65
%    p10_2(f6_1(f8_1(f9_1(c16_0()))), f4_1(c16_0())) ....... R3 [R2:L0, U65:L0]
% Derivation of unit clause U136:
% p3_2(x0,x0) ....... B0
% ~p10_2(x2,x3) | ~p3_2(x3,x1) | ~p3_2(x2,x0) | p10_2(x0,x1) ....... B25
%  ~p10_2(x0, x1) | ~p3_2(x1, x2) | p10_2(x0, x2) ....... R1 [B0:L0, B25:L2]
%  p10_2(f6_1(f8_1(f9_1(c16_0()))),f4_1(c16_0())) ....... U110
%   ~p3_2(f4_1(c16_0()), x0) | p10_2(f6_1(f8_1(f9_1(c16_0()))), x0) ....... R2 [R1:L0, U110:L0]
%   p3_2(f4_1(c16_0()),f6_1(c15_0())) ....... U6
%    p10_2(f6_1(f8_1(f9_1(c16_0()))), f6_1(c15_0())) ....... R3 [R2:L0, U6:L0]
% Derivation of unit clause U258:
% ~p10_2(f6_1(x0),f6_1(x1)) | p12_2(x0,x1) ....... B14
% ~p11_1(x0) | ~p12_2(x1,c15_0()) | ~p3_2(f4_1(x0),f6_1(x1)) ....... B24
%  ~p10_2(f6_1(x0), f6_1(c15_0())) | ~p11_1(x1) | ~p3_2(f4_1(x1), f6_1(x0)) ....... R1 [B14:L1, B24:L1]
%  p10_2(f6_1(f8_1(f9_1(c16_0()))),f6_1(c15_0())) ....... U136
%   ~p11_1(x0) | ~p3_2(f4_1(x0), f6_1(f8_1(f9_1(c16_0())))) ....... R2 [R1:L0, U136:L0]
%   p11_1(f9_1(c16_0())) ....... U18
%    ~p3_2(f4_1(f9_1(c16_0())), f6_1(f8_1(f9_1(c16_0())))) ....... R3 [R2:L0, U18:L0]
% Derivation of the empty clause:
% ~p3_2(f4_1(f9_1(c16_0())),f6_1(f8_1(f9_1(c16_0())))) ....... U258
% p3_2(f4_1(f9_1(c16_0())),f6_1(f8_1(f9_1(c16_0())))) ....... U65
%  [] ....... R1 [U258:L0, U65:L0]
% --------------- End of Proof ---------------
% PROOF FOUND!
% ---------------------------------------------
% |                Statistics                 |
% ---------------------------------------------
% Profile 3: Performance Statistics:
% ==================================
% Total number of generated clauses: 8042
% 	resolvents: 7942	factors: 100
% Number of unit clauses generated: 4818
% % unit clauses generated to total clauses generated: 59.91
% Number of unit clauses constructed and retained at depth [x]:
% =============================================================
% [0] = 8		[1] = 61	[2] = 39	[3] = 151	
% Total = 259
% Number of generated clauses having [x] literals:
% ------------------------------------------------
% [1] = 4818	[2] = 2967	[3] = 257	
% Average size of a generated clause: 2.0
% Number of unit clauses per predicate list:
% ==========================================
% [0] p11_1		(+)15	(-)0
% [1] p10_2		(+)54	(-)17
% [2] p12_2		(+)19	(-)5
% [3] p2_2		(+)4	(-)6
% [4] p3_2		(+)53	(-)56
% [5] p5_2		(+)10	(-)20
% 			------------------
% 		Total:	(+)155	(-)104
% Total number of unit clauses retained: 259
% Number of clauses skipped because of their length: 5203
% N base clauses skippped in resolve-with-all-base-clauses
% 	because of the shortest resolvents table: 0
% Number of successful unifications: 8054
% Number of unification failures: 41148
% Number of unit to unit unification failures: 4167
% N literal unification failure due to lookup root_id table: 17992
% N base clause resolution failure due to lookup table: 12192
% N UC-BCL resolution dropped due to lookup table: 89
% Max entries in substitution set: 6
% N unit clauses dropped because they exceeded max values: 4080
% N unit clauses dropped because too much nesting: 195
% 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: 9
% Max term depth in a unit clause: 5
% Number of states in UCFA table: 498
% Total number of terms of all unit clauses in table: 1441
% Max allowed number of states in UCFA: 88000
% Ratio n states used/total allowed states: 0.01
% Ratio n states used/total unit clauses terms: 0.35
% Number of symbols (columns) in UCFA: 51
% Profile 2: Number of calls to:
% ==============================
% PTUnify() = 49202
% ConstructUnitClause() = 4331
% Profile 1: Time spent in:
% =========================
% ConstructUnitClause() : 0.03 secs
% --------------------------------------------------------
% |                                                      |
%   Inferences per sec: inf
% |                                                      |
% --------------------------------------------------------
% Elapsed time: 0 secs
% CPU time: 0.18 secs
% 
%------------------------------------------------------------------------------