TSTP Solution File: SYN272-1 by CARINE---0.734

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CARINE---0.734
% Problem  : SYN272-1 : TPTP v5.0.0. Released v1.1.0.
% Transfm  : add_equality
% Format   : carine
% Command  : carine %s t=%d xo=off uct=32000

% Computer : art01.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 08:48:00 EST 2010

% Result   : Unsatisfiable 0.67s
% Output   : Refutation 0.67s
% 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/SystemOnTPTP16567/SYN/SYN272-1+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 = 834] [nf = 0] [nu = 407] [ut = 135]
% Looking for a proof at depth = 2 ...
% 	t = 0 secs [nr = 6520] [nf = 78] [nu = 2301] [ut = 243]
% Looking for a proof at depth = 3 ...
% +================================================+
% |                                                |
% | Congratulations!!! ........ A proof was found. |
% |                                                |
% +================================================+
% Base Clauses and Unit Clauses used in proof:
% ============================================
% Base Clauses:
% -------------
% B0: ~p4_3(d_0(),e_0(),x0)
% B1: m0_3(x0,d_0(),x1)
% B2: p0_2(b_0(),x0)
% B4: m0_3(a_0(),x0,a_0())
% B14: n0_2(d_0(),b_0())
% B29: q0_2(b_0(),e_0())
% B33: m0_3(e_0(),d_0(),a_0())
% B44: ~m0_3(x1,x2,x0) | q1_3(x0,x0,x0)
% B47: ~n0_2(x1,x0) | k1_1(x0)
% B57: ~p0_2(x1,x0) | p1_3(x0,x0,x0)
% B63: ~q1_3(x1,x0,x0) | k2_2(x0,x0)
% B64: ~k3_3(x0,x0,x1) | p4_3(x0,x1,x0)
% B106: ~k1_1(b_0()) | m2_1(b_0())
% B136: ~m0_3(x2,x0,x3) | ~p1_3(x2,x0,x3) | p1_3(x0,x1,x2)
% B269: ~k2_2(x0,x3) | ~q0_2(x2,x1) | ~k3_3(x1,x4,x3) | k3_3(x0,x0,x1)
% B273: ~m2_1(x2) | ~m2_1(x3) | ~p1_3(x1,x2,x0) | k3_3(x0,x0,x1)
% Unit Clauses:
% --------------
% U39: < d1 v0 dv0 f0 c3 t3 td1 > ~k3_3(d_0(),d_0(),e_0())
% U41: < d1 v3 dv1 f0 c0 t3 td1 > q1_3(x0,x0,x0)
% U45: < d1 v3 dv1 f0 c0 t3 td1 > p1_3(x0,x0,x0)
% U68: < d1 v0 dv0 f0 c1 t1 td1 > k1_1(b_0())
% U106: < d1 v2 dv1 f0 c0 t2 td1 > k2_2(x0,x0)
% U134: < d1 v0 dv0 f0 c1 t1 td1 > m2_1(b_0())
% U160: < d2 v1 dv1 f0 c2 t3 td1 > p1_3(a_0(),x0,a_0())
% U161: < d2 v2 dv2 f0 c1 t3 td1 > p1_3(x0,x1,a_0())
% U213: < d2 v1 dv1 f0 c2 t3 td1 > p1_3(d_0(),x0,e_0())
% U368: < d3 v1 dv1 f0 c2 t3 td1 > ~k3_3(e_0(),x0,d_0())
% U426: < d3 v0 dv0 f0 c3 t3 td1 > k3_3(e_0(),e_0(),d_0())
% --------------- Start of Proof ---------------
% Derivation of unit clause U39:
% ~p4_3(d_0(),e_0(),x0) ....... B0
% ~k3_3(x0,x0,x1) | p4_3(x0,x1,x0) ....... B64
%  ~k3_3(d_0(), d_0(), e_0()) ....... R1 [B0:L0, B64:L1]
% Derivation of unit clause U41:
% m0_3(x0,d_0(),x1) ....... B1
% ~m0_3(x1,x2,x0) | q1_3(x0,x0,x0) ....... B44
%  q1_3(x0, x0, x0) ....... R1 [B1:L0, B44:L0]
% Derivation of unit clause U45:
% p0_2(b_0(),x0) ....... B2
% ~p0_2(x1,x0) | p1_3(x0,x0,x0) ....... B57
%  p1_3(x0, x0, x0) ....... R1 [B2:L0, B57:L0]
% Derivation of unit clause U68:
% n0_2(d_0(),b_0()) ....... B14
% ~n0_2(x1,x0) | k1_1(x0) ....... B47
%  k1_1(b_0()) ....... R1 [B14:L0, B47:L0]
% Derivation of unit clause U106:
% ~q1_3(x1,x0,x0) | k2_2(x0,x0) ....... B63
% q1_3(x0,x0,x0) ....... U41
%  k2_2(x0, x0) ....... R1 [B63:L0, U41:L0]
% Derivation of unit clause U134:
% ~k1_1(b_0()) | m2_1(b_0()) ....... B106
% k1_1(b_0()) ....... U68
%  m2_1(b_0()) ....... R1 [B106:L0, U68:L0]
% Derivation of unit clause U160:
% m0_3(a_0(),x0,a_0()) ....... B4
% ~m0_3(x2,x0,x3) | ~p1_3(x2,x0,x3) | p1_3(x0,x1,x2) ....... B136
%  ~p1_3(a_0(), x0, a_0()) | p1_3(x0, x1, a_0()) ....... R1 [B4:L0, B136:L0]
%  p1_3(x0,x0,x0) ....... U45
%   p1_3(a_0(), x0, a_0()) ....... R2 [R1:L0, U45:L0]
% Derivation of unit clause U161:
% m0_3(a_0(),x0,a_0()) ....... B4
% ~m0_3(x2,x0,x3) | ~p1_3(x2,x0,x3) | p1_3(x0,x1,x2) ....... B136
%  ~p1_3(a_0(), x0, a_0()) | p1_3(x0, x1, a_0()) ....... R1 [B4:L0, B136:L0]
%  p1_3(a_0(),x0,a_0()) ....... U160
%   p1_3(x0, x1, a_0()) ....... R2 [R1:L0, U160:L0]
% Derivation of unit clause U213:
% m0_3(e_0(),d_0(),a_0()) ....... B33
% ~m0_3(x2,x0,x3) | ~p1_3(x2,x0,x3) | p1_3(x0,x1,x2) ....... B136
%  ~p1_3(e_0(), d_0(), a_0()) | p1_3(d_0(), x0, e_0()) ....... R1 [B33:L0, B136:L0]
%  p1_3(x0,x1,a_0()) ....... U161
%   p1_3(d_0(), x0, e_0()) ....... R2 [R1:L0, U161:L0]
% Derivation of unit clause U368:
% q0_2(b_0(),e_0()) ....... B29
% ~k2_2(x0,x3) | ~q0_2(x2,x1) | ~k3_3(x1,x4,x3) | k3_3(x0,x0,x1) ....... B269
%  ~k2_2(x0, x1) | ~k3_3(e_0(), x2, x1) | k3_3(x0, x0, e_0()) ....... R1 [B29:L0, B269:L1]
%  k2_2(x0,x0) ....... U106
%   ~k3_3(e_0(), x0, x1) | k3_3(x1, x1, e_0()) ....... R2 [R1:L0, U106:L0]
%   ~k3_3(d_0(),d_0(),e_0()) ....... U39
%    ~k3_3(e_0(), x0, d_0()) ....... R3 [R2:L1, U39:L0]
% Derivation of unit clause U426:
% ~m2_1(x2) | ~m2_1(x3) | ~p1_3(x1,x2,x0) | k3_3(x0,x0,x1) ....... B273
%  ~m2_1(x0) | ~p1_3(x1, x0, x2) | k3_3(x2, x2, x1) ....... R1 [B273:L0, B273:L1]
%  m2_1(b_0()) ....... U134
%   ~p1_3(x0, b_0(), x1) | k3_3(x1, x1, x0) ....... R2 [R1:L0, U134:L0]
%   p1_3(d_0(),x0,e_0()) ....... U213
%    k3_3(e_0(), e_0(), d_0()) ....... R3 [R2:L0, U213:L0]
% Derivation of the empty clause:
% k3_3(e_0(),e_0(),d_0()) ....... U426
% ~k3_3(e_0(),x0,d_0()) ....... U368
%  [] ....... R1 [U426:L0, U368:L0]
% --------------- End of Proof ---------------
% PROOF FOUND!
% ---------------------------------------------
% |                Statistics                 |
% ---------------------------------------------
% Profile 3: Performance Statistics:
% ==================================
% Total number of generated clauses: 103068
% 	resolvents: 102453	factors: 615
% Number of unit clauses generated: 37102
% % unit clauses generated to total clauses generated: 36.00
% Number of unit clauses constructed and retained at depth [x]:
% =============================================================
% [0] = 39	[1] = 96	[2] = 108	[3] = 184	
% Total = 427
% Number of generated clauses having [x] literals:
% ------------------------------------------------
% [1] = 37102	[2] = 54860	[3] = 11106	
% Average size of a generated clause: 2.0
% Number of unit clauses per predicate list:
% ==========================================
% [0] k0_1		(+)2	(-)0
% [1] k1_1		(+)5	(-)0
% [2] k4_1		(+)1	(-)0
% [3] k5_1		(+)6	(-)0
% [4] l0_1		(+)2	(-)0
% [5] l4_1		(+)6	(-)0
% [6] l5_1		(+)0	(-)0
% [7] m2_1		(+)2	(-)0
% [8] n2_1		(+)6	(-)0
% [9] n3_1		(+)6	(-)0
% [10] r0_1		(+)2	(-)0
% [11] r1_1		(+)5	(-)0
% [12] r2_1		(+)0	(-)0
% [13] r4_1		(+)6	(-)0
% [14] s0_1		(+)2	(-)0
% [15] s1_1		(+)5	(-)0
% [16] s2_1		(+)3	(-)0
% [17] s4_1		(+)5	(-)0
% [18] s5_1		(+)0	(-)0
% [19] k2_2		(+)6	(-)2
% [20] l1_2		(+)7	(-)0
% [21] l2_2		(+)14	(-)0
% [22] l3_2		(+)12	(-)0
% [23] m4_2		(+)0	(-)0
% [24] m5_2		(+)0	(-)0
% [25] n0_2		(+)8	(-)0
% [26] n4_2		(+)6	(-)0
% [27] n5_2		(+)6	(-)0
% [28] p0_2		(+)4	(-)0
% [29] q0_2		(+)8	(-)0
% [30] q3_2		(+)4	(-)0
% [31] q4_2		(+)0	(-)0
% [32] q5_2		(+)0	(-)0
% [33] r5_2		(+)0	(-)0
% [34] s3_2		(+)2	(-)0
% [35] k3_3		(+)28	(-)2
% [36] m0_3		(+)10	(-)0
% [37] m1_3		(+)35	(-)0
% [38] m3_3		(+)7	(-)0
% [39] n1_3		(+)32	(-)0
% [40] p1_3		(+)29	(-)0
% [41] p2_3		(+)32	(-)0
% [42] p3_3		(+)20	(-)0
% [43] p4_3		(+)10	(-)1
% [44] p5_3		(+)1	(-)0
% [45] q1_3		(+)42	(-)0
% [46] q2_3		(+)20	(-)0
% [47] r3_3		(+)14	(-)1
% 			------------------
% 		Total:	(+)421	(-)6
% Total number of unit clauses retained: 427
% Number of clauses skipped because of their length: 1442819
% N base clauses skippped in resolve-with-all-base-clauses
% 	because of the shortest resolvents table: 16705
% Number of successful unifications: 103086
% Number of unification failures: 132306
% Number of unit to unit unification failures: 91
% N literal unification failure due to lookup root_id table: 508008
% N base clause resolution failure due to lookup table: 1630966
% N UC-BCL resolution dropped due to lookup table: 492
% Max entries in substitution set: 9
% N unit clauses dropped because they exceeded max values: 33949
% 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: 3
% Max term depth in a unit clause: 1
% Number of states in UCFA table: 396
% Total number of terms of all unit clauses in table: 1074
% 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: 0.37
% Number of symbols (columns) in UCFA: 87
% Profile 2: Number of calls to:
% ==============================
% PTUnify() = 235392
% ConstructUnitClause() = 34337
% Profile 1: Time spent in:
% =========================
% ConstructUnitClause() : 0.03 secs
% --------------------------------------------------------
% |                                                      |
%   Inferences per sec: inf
% |                                                      |
% --------------------------------------------------------
% Elapsed time: 1 secs
% CPU time: 0.67 secs
% 
%------------------------------------------------------------------------------