TSTP Solution File: PLA022-2 by CARINE---0.734

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CARINE---0.734
% Problem  : PLA022-2 : 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 03:47:47 EST 2010

% Result   : Unsatisfiable 1.36s
% Output   : Refutation 1.36s
% 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/SystemOnTPTP5524/PLA/PLA022-2+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 = 123] [nf = 0] [nu = 46] [ut = 38]
% Looking for a proof at depth = 2 ...
% 	t = 0 secs [nr = 43124] [nf = 2] [nu = 35048] [ut = 3543]
% Looking for a proof at depth = 3 ...
% 	t = 1 secs [nr = 147645] [nf = 106] [nu = 121577] [ut = 4246]
% Looking for a proof at depth = 4 ...
% +================================================+
% |                                                |
% | Congratulations!!! ........ A proof was found. |
% |                                                |
% +================================================+
% Base Clauses and Unit Clauses used in proof:
% ============================================
% Base Clauses:
% -------------
% B0: ~holds_2(and_2(on_2(a_0(),c_0()),on_2(c_0(),d_0())),x0)
% B2: differ_2(a_0(),table_0())
% B4: differ_2(a_0(),c_0())
% B15: holds_2(clear_1(c_0()),s0_0())
% B18: holds_2(on_2(c_0(),d_0()),s0_0())
% B21: ~differ_2(x1,x0) | differ_2(x0,x1)
% B23: ~differ_2(x0,x2) | ~holds_2(on_2(x0,x1),x3) | holds_2(on_2(x0,x1),do_2(pickup_1(x2),x3))
% B24: ~holds_2(x1,x2) | ~holds_2(x0,x2) | holds_2(and_2(x0,x1),x2)
% B25: ~differ_2(x0,x1) | ~holds_2(clear_1(x0),x2) | holds_2(clear_1(x0),do_2(pickup_1(x1),x2))
% B30: ~differ_2(x0,table_0()) | ~holds_2(clear_1(x0),x1) | ~holds_2(empty_0(),x1) | holds_2(holding_1(x0),do_2(pickup_1(x0),x1))
% Unit Clauses:
% --------------
% U12: < d0 v0 dv0 f0 c2 t2 td1 b > holds_2(empty_0(),s0_0())
% U13: < d0 v0 dv0 f1 c2 t3 td2 b > holds_2(clear_1(a_0()),s0_0())
% U22: < d1 v0 dv0 f0 c2 t2 td1 > differ_2(c_0(),a_0())
% U1958: < d2 v0 dv0 f3 c3 t6 td3 > holds_2(clear_1(c_0()),do_2(pickup_1(a_0()),s0_0()))
% U3548: < d3 v0 dv0 f3 c3 t6 td3 > holds_2(holding_1(a_0()),do_2(pickup_1(a_0()),s0_0()))
% U3564: < d3 v2 dv2 f5 c4 t11 td4 > holds_2(on_2(c_0(),d_0()),do_2(putdown_2(x0,x1),do_2(pickup_1(a_0()),s0_0())))
% U4273: < d4 v0 dv0 f3 c3 t6 td3 > ~holds_2(holding_1(a_0()),do_2(pickup_1(a_0()),s0_0()))
% --------------- Start of Proof ---------------
% Derivation of unit clause U12:
% holds_2(empty_0(),s0_0()) ....... U12
% Derivation of unit clause U13:
% holds_2(clear_1(a_0()),s0_0()) ....... U13
% Derivation of unit clause U22:
% differ_2(a_0(),c_0()) ....... B4
% ~differ_2(x1,x0) | differ_2(x0,x1) ....... B21
%  differ_2(c_0(), a_0()) ....... R1 [B4:L0, B21:L0]
% Derivation of unit clause U1958:
% holds_2(clear_1(c_0()),s0_0()) ....... B15
% ~differ_2(x0,x1) | ~holds_2(clear_1(x0),x2) | holds_2(clear_1(x0),do_2(pickup_1(x1),x2)) ....... B25
%  ~differ_2(c_0(), x0) | holds_2(clear_1(c_0()), do_2(pickup_1(x0), s0_0())) ....... R1 [B15:L0, B25:L1]
%  differ_2(c_0(),a_0()) ....... U22
%   holds_2(clear_1(c_0()), do_2(pickup_1(a_0()), s0_0())) ....... R2 [R1:L0, U22:L0]
% Derivation of unit clause U3548:
% differ_2(a_0(),table_0()) ....... B2
% ~differ_2(x0,table_0()) | ~holds_2(clear_1(x0),x1) | ~holds_2(empty_0(),x1) | holds_2(holding_1(x0),do_2(pickup_1(x0),x1)) ....... B30
%  ~holds_2(clear_1(a_0()), x0) | ~holds_2(empty_0(), x0) | holds_2(holding_1(a_0()), do_2(pickup_1(a_0()), x0)) ....... R1 [B2:L0, B30:L0]
%  holds_2(clear_1(a_0()),s0_0()) ....... U13
%   ~holds_2(empty_0(), s0_0()) | holds_2(holding_1(a_0()), do_2(pickup_1(a_0()), s0_0())) ....... R2 [R1:L0, U13:L0]
%   holds_2(empty_0(),s0_0()) ....... U12
%    holds_2(holding_1(a_0()), do_2(pickup_1(a_0()), s0_0())) ....... R3 [R2:L0, U12:L0]
% Derivation of unit clause U3564:
% holds_2(on_2(c_0(),d_0()),s0_0()) ....... B18
% ~differ_2(x0,x2) | ~holds_2(on_2(x0,x1),x3) | holds_2(on_2(x0,x1),do_2(pickup_1(x2),x3)) ....... B23
%  ~differ_2(c_0(), x0) | holds_2(on_2(c_0(), d_0()), do_2(pickup_1(x0), s0_0())) ....... R1 [B18:L0, B23:L1]
%  ~holds_2(on_2(x0,x1),x4) | holds_2(on_2(x0,x1),do_2(putdown_2(x2,x3),x4)) ....... B20
%   ~differ_2(c_0(), x0) | holds_2(on_2(c_0(), d_0()), do_2(putdown_2(x1, x2), do_2(pickup_1(x0), s0_0()))) ....... R2 [R1:L1, B20:L0]
%   differ_2(c_0(),a_0()) ....... U22
%    holds_2(on_2(c_0(), d_0()), do_2(putdown_2(x0, x1), do_2(pickup_1(a_0()), s0_0()))) ....... R3 [R2:L0, U22:L0]
% Derivation of unit clause U4273:
% ~holds_2(and_2(on_2(a_0(),c_0()),on_2(c_0(),d_0())),x0) ....... B0
% ~holds_2(x1,x2) | ~holds_2(x0,x2) | holds_2(and_2(x0,x1),x2) ....... B24
%  ~holds_2(on_2(c_0(), d_0()), x0) | ~holds_2(on_2(a_0(), c_0()), x0) ....... R1 [B0:L0, B24:L2]
%  ~holds_2(clear_1(x1),x2) | ~holds_2(holding_1(x0),x2) | holds_2(on_2(x0,x1),do_2(putdown_2(x0,x1),x2)) ....... B28
%   ~holds_2(on_2(c_0(), d_0()), do_2(putdown_2(a_0(), c_0()), x0)) | ~holds_2(clear_1(c_0()), x0) | ~holds_2(holding_1(a_0()), x0) ....... R2 [R1:L1, B28:L2]
%   holds_2(on_2(c_0(),d_0()),do_2(putdown_2(x0,x1),do_2(pickup_1(a_0()),s0_0()))) ....... U3564
%    ~holds_2(clear_1(c_0()), do_2(pickup_1(a_0()), s0_0())) | ~holds_2(holding_1(a_0()), do_2(pickup_1(a_0()), s0_0())) ....... R3 [R2:L0, U3564:L0]
%    holds_2(clear_1(c_0()),do_2(pickup_1(a_0()),s0_0())) ....... U1958
%     ~holds_2(holding_1(a_0()), do_2(pickup_1(a_0()), s0_0())) ....... R4 [R3:L0, U1958:L0]
% Derivation of the empty clause:
% ~holds_2(holding_1(a_0()),do_2(pickup_1(a_0()),s0_0())) ....... U4273
% holds_2(holding_1(a_0()),do_2(pickup_1(a_0()),s0_0())) ....... U3548
%  [] ....... R1 [U4273:L0, U3548:L0]
% --------------- End of Proof ---------------
% PROOF FOUND!
% ---------------------------------------------
% |                Statistics                 |
% ---------------------------------------------
% Profile 3: Performance Statistics:
% ==================================
% Total number of generated clauses: 148424
% 	resolvents: 148318	factors: 106
% Number of unit clauses generated: 122033
% % unit clauses generated to total clauses generated: 82.22
% Number of unit clauses constructed and retained at depth [x]:
% =============================================================
% [0] = 20	[1] = 18	[2] = 3505	[3] = 703	
% [4] = 28	
% Total = 4274
% Number of generated clauses having [x] literals:
% ------------------------------------------------
% [1] = 122033	[2] = 24456	[3] = 1935	
% Average size of a generated clause: 2.0
% Number of unit clauses per predicate list:
% ==========================================
% [0] differ_2		(+)20	(-)0
% [1] holds_2		(+)4213	(-)41
% 			------------------
% 		Total:	(+)4233	(-)41
% Total number of unit clauses retained: 4274
% Number of clauses skipped because of their length: 17362
% N base clauses skippped in resolve-with-all-base-clauses
% 	because of the shortest resolvents table: 0
% Number of successful unifications: 148437
% Number of unification failures: 1035185
% Number of unit to unit unification failures: 172039
% N literal unification failure due to lookup root_id table: 3880851
% N base clause resolution failure due to lookup table: 4406
% N UC-BCL resolution dropped due to lookup table: 0
% Max entries in substitution set: 14
% N unit clauses dropped because they exceeded max values: 48730
% N unit clauses dropped because too much nesting: 21920
% 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: 12
% Max term depth in a unit clause: 5
% Number of states in UCFA table: 8800
% Total number of terms of all unit clauses in table: 46133
% Max allowed number of states in UCFA: 112000
% Ratio n states used/total allowed states: 0.08
% Ratio n states used/total unit clauses terms: 0.19
% Number of symbols (columns) in UCFA: 50
% Profile 2: Number of calls to:
% ==============================
% PTUnify() = 1183622
% ConstructUnitClause() = 52984
% Profile 1: Time spent in:
% =========================
% ConstructUnitClause() : 0.10 secs
% --------------------------------------------------------
% |                                                      |
%   Inferences per sec: 148424
% |                                                      |
% --------------------------------------------------------
% Elapsed time: 1 secs
% CPU time: 1.36 secs
% 
%------------------------------------------------------------------------------