TSTP Solution File: FLD030-4 by CARINE---0.734

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CARINE---0.734
% Problem  : FLD030-4 : TPTP v5.0.0. Bugfixed v2.1.0.
% Transfm  : add_equality
% Format   : carine
% Command  : carine %s t=%d xo=off uct=32000

% Computer : art07.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 : Sat Nov 27 18:30:49 EST 2010

% Result   : Unsatisfiable 1.46s
% Output   : Refutation 1.46s
% 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/SystemOnTPTP20581/FLD/FLD030-4+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 = 214] [nf = 0] [nu = 141] [ut = 89]
% Looking for a proof at depth = 2 ...
% 	t = 2 secs [nr = 706954] [nf = 82] [nu = 555361] [ut = 15673]
% Looking for a proof at depth = 3 ...
% +================================================+
% |                                                |
% | Congratulations!!! ........ A proof was found. |
% |                                                |
% +================================================+
% Base Clauses and Unit Clauses used in proof:
% ============================================
% Base Clauses:
% -------------
% B0: product_3(multiplicative_identity_0(),a_0(),d_0())
% B7: defined_1(c_0())
% B12: ~defined_1(x0) | product_3(multiplicative_identity_0(),x0,x0)
% B24: ~product_3(x3,x5,x2) | ~product_3(x4,x1,x5) | ~product_3(x3,x4,x0) | product_3(x0,x1,x2)
% Unit Clauses:
% --------------
% U1: < d0 v0 dv0 f0 c3 t3 td1 b nc > product_3(a_0(),b_0(),c_0())
% U2: < d0 v0 dv0 f0 c3 t3 td1 b nc > ~product_3(d_0(),b_0(),c_0())
% U29: < d1 v0 dv0 f0 c3 t3 td1 > product_3(multiplicative_identity_0(),c_0(),c_0())
% U15695: < d3 v0 dv0 f0 c3 t3 td1 > product_3(d_0(),b_0(),c_0())
% --------------- Start of Proof ---------------
% Derivation of unit clause U1:
% product_3(a_0(),b_0(),c_0()) ....... U1
% Derivation of unit clause U2:
% ~product_3(d_0(),b_0(),c_0()) ....... U2
% Derivation of unit clause U29:
% defined_1(c_0()) ....... B7
% ~defined_1(x0) | product_3(multiplicative_identity_0(),x0,x0) ....... B12
%  product_3(multiplicative_identity_0(), c_0(), c_0()) ....... R1 [B7:L0, B12:L0]
% Derivation of unit clause U15695:
% product_3(multiplicative_identity_0(),a_0(),d_0()) ....... B0
% ~product_3(x3,x5,x2) | ~product_3(x4,x1,x5) | ~product_3(x3,x4,x0) | product_3(x0,x1,x2) ....... B24
%  ~product_3(multiplicative_identity_0(), x0, x1) | ~product_3(a_0(), x2, x0) | product_3(d_0(), x2, x1) ....... R1 [B0:L0, B24:L2]
%  product_3(multiplicative_identity_0(),c_0(),c_0()) ....... U29
%   ~product_3(a_0(), x0, c_0()) | product_3(d_0(), x0, c_0()) ....... R2 [R1:L0, U29:L0]
%   product_3(a_0(),b_0(),c_0()) ....... U1
%    product_3(d_0(), b_0(), c_0()) ....... R3 [R2:L0, U1:L0]
% Derivation of the empty clause:
% product_3(d_0(),b_0(),c_0()) ....... U15695
% ~product_3(d_0(),b_0(),c_0()) ....... U2
%  [] ....... R1 [U15695:L0, U2:L0]
% --------------- End of Proof ---------------
% PROOF FOUND!
% ---------------------------------------------
% |                Statistics                 |
% ---------------------------------------------
% Profile 3: Performance Statistics:
% ==================================
% Total number of generated clauses: 707599
% 	resolvents: 707513	factors: 86
% Number of unit clauses generated: 555429
% % unit clauses generated to total clauses generated: 78.49
% Number of unit clauses constructed and retained at depth [x]:
% =============================================================
% [0] = 10	[1] = 79	[2] = 15584	[3] = 23	
% Total = 15696
% Number of generated clauses having [x] literals:
% ------------------------------------------------
% [1] = 555429	[2] = 152099	[3] = 71	
% Average size of a generated clause: 2.0
% Number of unit clauses per predicate list:
% ==========================================
% [0] defined_1		(+)15128	(-)0
% [1] less_or_equal_2	(+)0	(-)0
% [2] product_3		(+)242	(-)2
% [3] sum_3		(+)323	(-)1
% 			------------------
% 		Total:	(+)15693	(-)3
% Total number of unit clauses retained: 15696
% Number of clauses skipped because of their length: 2122
% N base clauses skippped in resolve-with-all-base-clauses
% 	because of the shortest resolvents table: 0
% Number of successful unifications: 707603
% Number of unification failures: 38163
% Number of unit to unit unification failures: 805
% N literal unification failure due to lookup root_id table: 1933
% N base clause resolution failure due to lookup table: 1199
% N UC-BCL resolution dropped due to lookup table: 0
% Max entries in substitution set: 9
% N unit clauses dropped because they exceeded max values: 479809
% N unit clauses dropped because too much nesting: 226075
% 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: 8
% Max term depth in a unit clause: 4
% Number of states in UCFA table: 8336
% Total number of terms of all unit clauses in table: 104118
% Max allowed number of states in UCFA: 80000
% Ratio n states used/total allowed states: 0.10
% Ratio n states used/total unit clauses terms: 0.08
% Number of symbols (columns) in UCFA: 48
% Profile 2: Number of calls to:
% ==============================
% PTUnify() = 745766
% ConstructUnitClause() = 495495
% Profile 1: Time spent in:
% =========================
% ConstructUnitClause() : 0.55 secs
% --------------------------------------------------------
% |                                                      |
%   Inferences per sec: 707599
% |                                                      |
% --------------------------------------------------------
% Elapsed time: 2 secs
% CPU time: 1.46 secs
% 
%------------------------------------------------------------------------------