TSTP Solution File: SYN624-1 by CARINE---0.734

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CARINE---0.734
% Problem  : SYN624-1 : TPTP v5.0.0. Released v2.5.0.
% Transfm  : add_equality
% Format   : carine
% Command  : carine %s t=%d xo=off uct=32000

% Computer : art11.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory   : 2006MB
% OS       : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Sun Nov 28 10:54:41 EST 2010

% Result   : Unsatisfiable 1.51s
% Output   : Refutation 1.51s
% 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/SystemOnTPTP3163/SYN/SYN624-1+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 = 1896] [nf = 0] [nu = 1839] [ut = 1410]
% Looking for a proof at depth = 2 ...
% +================================================+
% |                                                |
% | Congratulations!!! ........ A proof was found. |
% |                                                |
% +================================================+
% Base Clauses and Unit Clauses used in proof:
% ============================================
% Base Clauses:
% -------------
% B0: p10_2(x0,x0)
% B6: p10_2(f16_2(x0,f14_1(f15_1(f7_1(c25_0())))),x0)
% B12: ~p10_2(f13_2(f6_1(c24_0()),c26_0()),f13_2(f6_1(c22_0()),f14_1(f15_1(f7_1(c25_0())))))
% B23: ~p10_2(x1,x3) | ~p5_2(x0,x2) | p10_2(f13_2(x0,x1),f13_2(x2,x3))
% B25: ~p10_2(x2,x1) | ~p10_2(x2,x0) | p10_2(x0,x1)
% Unit Clauses:
% --------------
% U4: < d0 v2 dv1 f5 c3 t10 td3 b nc > p10_2(f13_2(f6_1(c22_0()),x0),f13_2(f6_1(c24_0()),f16_2(c26_0(),x0)))
% U13: < d0 v2 dv1 f0 c0 t2 td1 b nc > p5_2(x0,x0)
% U1671: < d2 v2 dv1 f5 c3 t10 td3 > p10_2(f13_2(f6_1(c24_0()),f16_2(c26_0(),x0)),f13_2(f6_1(c22_0()),x0))
% U23677: < d2 v4 dv2 f6 c1 t11 td6 > p10_2(f13_2(x0,f16_2(x1,f14_1(f15_1(f7_1(c25_0()))))),f13_2(x0,x1))
% U24110: < d2 v0 dv0 f8 c5 t13 td6 > ~p10_2(f13_2(f6_1(c24_0()),f16_2(c26_0(),f14_1(f15_1(f7_1(c25_0()))))),f13_2(f6_1(c24_0()),c26_0()))
% --------------- Start of Proof ---------------
% Derivation of unit clause U4:
% p10_2(f13_2(f6_1(c22_0()),x0),f13_2(f6_1(c24_0()),f16_2(c26_0(),x0))) ....... U4
% Derivation of unit clause U13:
% p5_2(x0,x0) ....... U13
% Derivation of unit clause U1671:
% p10_2(x0,x0) ....... B0
% ~p10_2(x2,x1) | ~p10_2(x2,x0) | p10_2(x0,x1) ....... B25
%  ~p10_2(x0, x1) | p10_2(x1, x0) ....... R1 [B0:L0, B25:L0]
%  p10_2(f13_2(f6_1(c22_0()),x0),f13_2(f6_1(c24_0()),f16_2(c26_0(),x0))) ....... U4
%   p10_2(f13_2(f6_1(c24_0()), f16_2(c26_0(), x0)), f13_2(f6_1(c22_0()), x0)) ....... R2 [R1:L0, U4:L0]
% Derivation of unit clause U23677:
% p10_2(f16_2(x0,f14_1(f15_1(f7_1(c25_0())))),x0) ....... B6
% ~p10_2(x1,x3) | ~p5_2(x0,x2) | p10_2(f13_2(x0,x1),f13_2(x2,x3)) ....... B23
%  ~p5_2(x0, x1) | p10_2(f13_2(x0, f16_2(x2, f14_1(f15_1(f7_1(c25_0()))))), f13_2(x1, x2)) ....... R1 [B6:L0, B23:L0]
%  p5_2(x0,x0) ....... U13
%   p10_2(f13_2(x0, f16_2(x1, f14_1(f15_1(f7_1(c25_0()))))), f13_2(x0, x1)) ....... R2 [R1:L0, U13:L0]
% Derivation of unit clause U24110:
% ~p10_2(f13_2(f6_1(c24_0()),c26_0()),f13_2(f6_1(c22_0()),f14_1(f15_1(f7_1(c25_0()))))) ....... B12
% ~p10_2(x2,x1) | ~p10_2(x2,x0) | p10_2(x0,x1) ....... B25
%  ~p10_2(x0, f13_2(f6_1(c22_0()), f14_1(f15_1(f7_1(c25_0()))))) | ~p10_2(x0, f13_2(f6_1(c24_0()), c26_0())) ....... R1 [B12:L0, B25:L2]
%  p10_2(f13_2(f6_1(c24_0()),f16_2(c26_0(),x0)),f13_2(f6_1(c22_0()),x0)) ....... U1671
%   ~p10_2(f13_2(f6_1(c24_0()), f16_2(c26_0(), f14_1(f15_1(f7_1(c25_0()))))), f13_2(f6_1(c24_0()), c26_0())) ....... R2 [R1:L0, U1671:L0]
% Derivation of the empty clause:
% ~p10_2(f13_2(f6_1(c24_0()),f16_2(c26_0(),f14_1(f15_1(f7_1(c25_0()))))),f13_2(f6_1(c24_0()),c26_0())) ....... U24110
% p10_2(f13_2(x0,f16_2(x1,f14_1(f15_1(f7_1(c25_0()))))),f13_2(x0,x1)) ....... U23677
%  [] ....... R1 [U24110:L0, U23677:L0]
% --------------- End of Proof ---------------
% PROOF FOUND!
% ---------------------------------------------
% |                Statistics                 |
% ---------------------------------------------
% Profile 3: Performance Statistics:
% ==================================
% Total number of generated clauses: 49509
% 	resolvents: 49507	factors: 2
% Number of unit clauses generated: 49330
% % unit clauses generated to total clauses generated: 99.64
% Number of unit clauses constructed and retained at depth [x]:
% =============================================================
% [0] = 14	[1] = 1396	[2] = 22701	
% Total = 24111
% Number of generated clauses having [x] literals:
% ------------------------------------------------
% [1] = 49330	[2] = 163	[3] = 16	
% Average size of a generated clause: 2.0
% Number of unit clauses per predicate list:
% ==========================================
% [0] p18_1		(+)0	(-)2
% [1] p10_2		(+)22142	(-)68
% [2] p11_2		(+)20	(-)0
% [3] p19_2		(+)1	(-)0
% [4] p20_2		(+)1	(-)0
% [5] p21_2		(+)0	(-)0
% [6] p2_2		(+)1	(-)0
% [7] p3_2		(+)1874	(-)0
% [8] p5_2		(+)2	(-)0
% 			------------------
% 		Total:	(+)24041	(-)70
% Total number of unit clauses retained: 24111
% Number of clauses skipped because of their length: 414
% N base clauses skippped in resolve-with-all-base-clauses
% 	because of the shortest resolvents table: 0
% Number of successful unifications: 49515
% Number of unification failures: 131622
% Number of unit to unit unification failures: 1505287
% N literal unification failure due to lookup root_id table: 441
% N base clause resolution failure due to lookup table: 594
% N UC-BCL resolution dropped due to lookup table: 0
% Max entries in substitution set: 6
% N unit clauses dropped because they exceeded max values: 25219
% N unit clauses dropped because too much nesting: 9080
% 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: 58
% Max term depth in a unit clause: 11
% Number of states in UCFA table: 524346
% Total number of terms of all unit clauses in table: 890615
% Max allowed number of states in UCFA: 528000
% Ratio n states used/total allowed states: 0.99
% Ratio n states used/total unit clauses terms: 0.59
% Number of symbols (columns) in UCFA: 59
% Profile 2: Number of calls to:
% ==============================
% PTUnify() = 181137
% ConstructUnitClause() = 49316
% Profile 1: Time spent in:
% =========================
% ConstructUnitClause() : 0.21 secs
% --------------------------------------------------------
% |                                                      |
%   Inferences per sec: 49509
% |                                                      |
% --------------------------------------------------------
% Elapsed time: 2 secs
% CPU time: 1.49 secs
% 
%------------------------------------------------------------------------------