TSTP Solution File: SYN207-1 by CARINE---0.734

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CARINE---0.734
% Problem  : SYN207-1 : TPTP v5.0.0. Released v1.1.0.
% 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 08:42:28 EST 2010

% Result   : Unsatisfiable 0.57s
% Output   : Refutation 0.57s
% 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/SystemOnTPTP1746/SYN/SYN207-1+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 = 1 secs [nr = 830] [nf = 0] [nu = 404] [ut = 133]
% Looking for a proof at depth = 2 ...
% 	t = 1 secs [nr = 6509] [nf = 78] [nu = 2294] [ut = 241]
% Looking for a proof at depth = 3 ...
% +================================================+
% |                                                |
% | Congratulations!!! ........ A proof was found. |
% |                                                |
% +================================================+
% Base Clauses and Unit Clauses used in proof:
% ============================================
% Base Clauses:
% -------------
% B0: ~s3_2(c_0(),c_0())
% B1: m0_3(x0,d_0(),x1)
% B2: p0_2(b_0(),x0)
% B3: q0_2(x0,d_0())
% B8: l0_1(c_0())
% B14: n0_2(d_0(),b_0())
% B15: n0_2(d_0(),c_0())
% B47: ~n0_2(x1,x0) | k1_1(x0)
% B48: ~n0_2(x1,x0) | l1_2(x0,x0)
% B53: ~l1_2(x1,x0) | q2_3(x0,x0,x1)
% B81: ~p0_2(x0,x0) | s1_1(x0)
% B141: ~s1_1(x2) | ~q0_2(x0,x1) | s1_1(x0)
% B229: ~s1_1(b_0()) | ~q2_3(b_0(),x0,b_0()) | s2_1(x0)
% B276: ~s1_1(x2) | ~p0_2(x1,x1) | ~m0_3(x3,x2,x0) | l2_2(x0,x0)
% B281: ~s2_1(x0) | ~m0_3(x2,x3,x1) | ~q2_3(x2,x0,x2) | s3_2(x0,x1)
% B319: ~k1_1(x1) | ~l0_1(c_0()) | ~l2_2(x1,x0) | q2_3(x0,c_0(),x1)
% Unit Clauses:
% --------------
% U1: < d0 v2 dv2 f0 c1 t3 td1 b > m0_3(x0,d_0(),x1)
% U2: < d0 v1 dv1 f0 c1 t2 td1 b > p0_2(b_0(),x0)
% U47: < d1 v0 dv0 f0 c1 t1 td1 > s1_1(b_0())
% U67: < d1 v0 dv0 f0 c1 t1 td1 > k1_1(b_0())
% U70: < d1 v0 dv0 f0 c2 t2 td1 > l1_2(c_0(),c_0())
% U101: < d1 v0 dv0 f0 c3 t3 td1 > q2_3(c_0(),c_0(),c_0())
% U157: < d2 v1 dv1 f0 c0 t1 td1 > s1_1(x0)
% U241: < d3 v0 dv0 f0 c1 t1 td1 > ~s2_1(c_0())
% U247: < d3 v2 dv1 f0 c0 t2 td1 > l2_2(x0,x0)
% U312: < d3 v0 dv0 f0 c3 t3 td1 > q2_3(b_0(),c_0(),b_0())
% U405: < d3 v0 dv0 f0 c1 t1 td1 > s2_1(c_0())
% --------------- Start of Proof ---------------
% Derivation of unit clause U1:
% m0_3(x0,d_0(),x1) ....... U1
% Derivation of unit clause U2:
% p0_2(b_0(),x0) ....... U2
% Derivation of unit clause U47:
% p0_2(b_0(),x0) ....... B2
% ~p0_2(x0,x0) | s1_1(x0) ....... B81
%  s1_1(b_0()) ....... R1 [B2:L0, B81:L0]
% Derivation of unit clause U67:
% 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 U70:
% n0_2(d_0(),c_0()) ....... B15
% ~n0_2(x1,x0) | l1_2(x0,x0) ....... B48
%  l1_2(c_0(), c_0()) ....... R1 [B15:L0, B48:L0]
% Derivation of unit clause U101:
% ~l1_2(x1,x0) | q2_3(x0,x0,x1) ....... B53
% l1_2(c_0(),c_0()) ....... U70
%  q2_3(c_0(), c_0(), c_0()) ....... R1 [B53:L0, U70:L0]
% Derivation of unit clause U157:
% q0_2(x0,d_0()) ....... B3
% ~s1_1(x2) | ~q0_2(x0,x1) | s1_1(x0) ....... B141
%  ~s1_1(x0) | s1_1(x1) ....... R1 [B3:L0, B141:L1]
%  s1_1(b_0()) ....... U47
%   s1_1(x0) ....... R2 [R1:L0, U47:L0]
% Derivation of unit clause U241:
% ~s3_2(c_0(),c_0()) ....... B0
% ~s2_1(x0) | ~m0_3(x2,x3,x1) | ~q2_3(x2,x0,x2) | s3_2(x0,x1) ....... B281
%  ~s2_1(c_0()) | ~m0_3(x0, x1, c_0()) | ~q2_3(x0, c_0(), x0) ....... R1 [B0:L0, B281:L3]
%  m0_3(x0,d_0(),x1) ....... U1
%   ~s2_1(c_0()) | ~q2_3(x0, c_0(), x0) ....... R2 [R1:L1, U1:L0]
%   q2_3(c_0(),c_0(),c_0()) ....... U101
%    ~s2_1(c_0()) ....... R3 [R2:L1, U101:L0]
% Derivation of unit clause U247:
% m0_3(x0,d_0(),x1) ....... B1
% ~s1_1(x2) | ~p0_2(x1,x1) | ~m0_3(x3,x2,x0) | l2_2(x0,x0) ....... B276
%  ~s1_1(d_0()) | ~p0_2(x0, x0) | l2_2(x1, x1) ....... R1 [B1:L0, B276:L2]
%  s1_1(x0) ....... U157
%   ~p0_2(x0, x0) | l2_2(x1, x1) ....... R2 [R1:L0, U157:L0]
%   p0_2(b_0(),x0) ....... U2
%    l2_2(x0, x0) ....... R3 [R2:L0, U2:L0]
% Derivation of unit clause U312:
% l0_1(c_0()) ....... B8
% ~k1_1(x1) | ~l0_1(c_0()) | ~l2_2(x1,x0) | q2_3(x0,c_0(),x1) ....... B319
%  ~k1_1(x0) | ~l2_2(x0, x1) | q2_3(x1, c_0(), x0) ....... R1 [B8:L0, B319:L1]
%  k1_1(b_0()) ....... U67
%   ~l2_2(b_0(), x0) | q2_3(x0, c_0(), b_0()) ....... R2 [R1:L0, U67:L0]
%   l2_2(x0,x0) ....... U247
%    q2_3(b_0(), c_0(), b_0()) ....... R3 [R2:L0, U247:L0]
% Derivation of unit clause U405:
% ~p0_2(x0,x0) | s1_1(x0) ....... B81
% ~s1_1(b_0()) | ~q2_3(b_0(),x0,b_0()) | s2_1(x0) ....... B229
%  ~p0_2(b_0(), b_0()) | ~q2_3(b_0(), x0, b_0()) | s2_1(x0) ....... R1 [B81:L1, B229:L0]
%  p0_2(b_0(),x0) ....... U2
%   ~q2_3(b_0(), x0, b_0()) | s2_1(x0) ....... R2 [R1:L0, U2:L0]
%   q2_3(b_0(),c_0(),b_0()) ....... U312
%    s2_1(c_0()) ....... R3 [R2:L0, U312:L0]
% Derivation of the empty clause:
% s2_1(c_0()) ....... U405
% ~s2_1(c_0()) ....... U241
%  [] ....... R1 [U405:L0, U241:L0]
% --------------- End of Proof ---------------
% PROOF FOUND!
% ---------------------------------------------
% |                Statistics                 |
% ---------------------------------------------
% Profile 3: Performance Statistics:
% ==================================
% Total number of generated clauses: 79151
% 	resolvents: 78645	factors: 506
% Number of unit clauses generated: 30810
% % unit clauses generated to total clauses generated: 38.93
% Number of unit clauses constructed and retained at depth [x]:
% =============================================================
% [0] = 39	[1] = 94	[2] = 108	[3] = 165	
% Total = 406
% Number of generated clauses having [x] literals:
% ------------------------------------------------
% [1] = 30810	[2] = 40159	[3] = 8182	
% 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	(-)1
% [17] s4_1		(+)5	(-)0
% [18] s5_1		(+)0	(-)0
% [19] k2_2		(+)6	(-)0
% [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		(+)0	(-)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	(-)1
% [35] k3_3		(+)24	(-)0
% [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		(+)13	(-)0
% [43] p4_3		(+)10	(-)0
% [44] p5_3		(+)1	(-)0
% [45] q1_3		(+)42	(-)0
% [46] q2_3		(+)20	(-)0
% [47] r3_3		(+)14	(-)0
% 			------------------
% 		Total:	(+)404	(-)2
% Total number of unit clauses retained: 406
% Number of clauses skipped because of their length: 1105423
% N base clauses skippped in resolve-with-all-base-clauses
% 	because of the shortest resolvents table: 11670
% Number of successful unifications: 79169
% Number of unification failures: 94002
% Number of unit to unit unification failures: 4
% N literal unification failure due to lookup root_id table: 371308
% N base clause resolution failure due to lookup table: 1226778
% N UC-BCL resolution dropped due to lookup table: 150
% Max entries in substitution set: 9
% N unit clauses dropped because they exceeded max values: 27931
% 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: 371
% Total number of terms of all unit clauses in table: 1016
% 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() = 173171
% ConstructUnitClause() = 28298
% Profile 1: Time spent in:
% =========================
% ConstructUnitClause() : 0.01 secs
% --------------------------------------------------------
% |                                                      |
%   Inferences per sec: inf
% |                                                      |
% --------------------------------------------------------
% Elapsed time: 1 secs
% CPU time: 0.56 secs
% 
%------------------------------------------------------------------------------