TSTP Solution File: SYN580-1 by CARINE---0.734

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CARINE---0.734
% Problem  : SYN580-1 : TPTP v5.0.0. Released v2.5.0.
% 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 : Sun Nov 28 10:31:30 EST 2010

% Result   : Unsatisfiable 31.02s
% Output   : Refutation 31.02s
% 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/SystemOnTPTP1713/SYN/SYN580-1+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 = 50] [nf = 0] [nu = 27] [ut = 23]
% Looking for a proof at depth = 2 ...
% 	t = 0 secs [nr = 469] [nf = 14] [nu = 266] [ut = 48]
% Looking for a proof at depth = 3 ...
% 	t = 0 secs [nr = 4732] [nf = 114] [nu = 3163] [ut = 56]
% Looking for a proof at depth = 4 ...
% 	t = 1 secs [nr = 40419] [nf = 1190] [nu = 27054] [ut = 65]
% Looking for a proof at depth = 5 ...
% 	t = 1 secs [nr = 377414] [nf = 12875] [nu = 237256] [ut = 88]
% Looking for a proof at depth = 6 ...
% 	t = 10 secs [nr = 3328966] [nf = 117654] [nu = 1963816] [ut = 104]
% Looking for a proof at depth = 7 ...
% Entering time slice 2
% Updating parameters ... done.
% Looking for a proof at depth = 1 ...
% 	t = 32 secs [nr = 11136281] [nf = 435821] [nu = 6328327] [ut = 123]
% Looking for a proof at depth = 2 ...
% 	t = 32 secs [nr = 11136905] [nf = 435835] [nu = 6328685] [ut = 123]
% Looking for a proof at depth = 3 ...
% 	t = 32 secs [nr = 11141678] [nf = 436007] [nu = 6331895] [ut = 123]
% Looking for a proof at depth = 4 ...
% +================================================+
% |                                                |
% | Congratulations!!! ........ A proof was found. |
% |                                                |
% +================================================+
% Base Clauses and Unit Clauses used in proof:
% ============================================
% Base Clauses:
% -------------
% B0: p10_2(x0,x0)
% B1: p4_2(x0,x0)
% B3: p11_2(c15_0(),c16_0())
% B6: p2_2(c14_0(),f3_1(c15_0()))
% B12: ~p2_2(x2,x1) | ~p2_2(x2,x0) | p2_2(x0,x1)
% B15: ~p11_2(x1,c16_0()) | ~p9_2(c12_0(),x0) | p8_3(c12_0(),x0,x1)
% B22: ~p2_2(x3,x2) | ~p4_2(x4,x1) | ~p7_2(x5,x0) | ~p8_3(x5,x4,x3) | p8_3(x0,x1,x2)
% Unit Clauses:
% --------------
% U2: < d0 v2 dv1 f0 c0 t2 td1 b nc > p7_2(x0,x0)
% U4: < d0 v0 dv0 f0 c2 t2 td1 b nc > p9_2(c12_0(),c13_0())
% U5: < d0 v0 dv0 f0 c3 t3 td1 b nc > ~p8_3(c12_0(),c13_0(),c14_0())
% U7: < d0 v2 dv1 f0 c0 t2 td1 b nc > p2_2(x0,x0)
% U32: < d2 v0 dv0 f1 c2 t3 td2 > p2_2(f3_1(c15_0()),c14_0())
% U88: < d6 v0 dv0 f1 c3 t4 td2 > p8_3(c12_0(),c13_0(),f3_1(c15_0()))
% U123: < d4 v0 dv0 f0 c3 t3 td1 > p8_3(c12_0(),c13_0(),c14_0())
% --------------- Start of Proof ---------------
% Derivation of unit clause U2:
% p7_2(x0,x0) ....... U2
% Derivation of unit clause U4:
% p9_2(c12_0(),c13_0()) ....... U4
% Derivation of unit clause U5:
% ~p8_3(c12_0(),c13_0(),c14_0()) ....... U5
% Derivation of unit clause U7:
% p2_2(x0,x0) ....... U7
% Derivation of unit clause U32:
% p2_2(c14_0(),f3_1(c15_0())) ....... B6
% ~p2_2(x2,x1) | ~p2_2(x2,x0) | p2_2(x0,x1) ....... B12
%  ~p2_2(c14_0(), x0) | p2_2(f3_1(c15_0()), x0) ....... R1 [B6:L0, B12:L1]
%  p2_2(x0,x0) ....... U7
%   p2_2(f3_1(c15_0()), c14_0()) ....... R2 [R1:L0, U7:L0]
% Derivation of unit clause U88:
% p11_2(c15_0(),c16_0()) ....... B3
% ~p11_2(x1,c16_0()) | ~p9_2(c12_0(),x0) | p8_3(c12_0(),x0,x1) ....... B15
%  ~p9_2(c12_0(), x0) | p8_3(c12_0(), x0, c15_0()) ....... R1 [B3:L0, B15:L0]
%  ~p9_2(c12_0(),x1) | p9_2(c12_0(),f6_1(x0)) | p8_3(c12_0(),x1,f3_1(x0)) ....... B17
%   p8_3(c12_0(), f6_1(x0), c15_0()) | ~p9_2(c12_0(), x1) | p8_3(c12_0(), x1, f3_1(x0)) ....... R2 [R1:L0, B17:L1]
%   p9_2(c12_0(),c13_0()) ....... U4
%    p8_3(c12_0(), f6_1(x0), c15_0()) | p8_3(c12_0(), c13_0(), f3_1(x0)) ....... R3 [R2:L1, U4:L0]
%    ~p9_2(c12_0(),x0) | ~p8_3(c12_0(),f6_1(x1),x1) | p8_3(c12_0(),x0,f3_1(x1)) ....... B18
%     p8_3(c12_0(), c13_0(), f3_1(c15_0())) | ~p9_2(c12_0(), x0) | p8_3(c12_0(), x0, f3_1(c15_0())) ....... R4 [R3:L0, B18:L1]
%      ~p9_2(c12_0(), c13_0()) | p8_3(c12_0(), c13_0(), f3_1(c15_0())) ....... R5 [R4:L0, R4:L2]
%      p9_2(c12_0(),c13_0()) ....... U4
%       p8_3(c12_0(), c13_0(), f3_1(c15_0())) ....... R6 [R5:L0, U4:L0]
% Derivation of unit clause U123:
% p4_2(x0,x0) ....... B1
% ~p2_2(x3,x2) | ~p4_2(x4,x1) | ~p7_2(x5,x0) | ~p8_3(x5,x4,x3) | p8_3(x0,x1,x2) ....... B22
%  ~p2_2(x0, x1) | ~p7_2(x2, x3) | ~p8_3(x2, x4, x0) | p8_3(x3, x4, x1) ....... R1 [B1:L0, B22:L1]
%  p2_2(f3_1(c15_0()),c14_0()) ....... U32
%   ~p7_2(x0, x1) | ~p8_3(x0, x2, f3_1(c15_0())) | p8_3(x1, x2, c14_0()) ....... R2 [R1:L0, U32:L0]
%   p7_2(x0,x0) ....... U2
%    ~p8_3(x0, x1, f3_1(c15_0())) | p8_3(x0, x1, c14_0()) ....... R3 [R2:L0, U2:L0]
%    p8_3(c12_0(),c13_0(),f3_1(c15_0())) ....... U88
%     p8_3(c12_0(), c13_0(), c14_0()) ....... R4 [R3:L0, U88:L0]
% Derivation of the empty clause:
% p8_3(c12_0(),c13_0(),c14_0()) ....... U123
% ~p8_3(c12_0(),c13_0(),c14_0()) ....... U5
%  [] ....... R1 [U123:L0, U5:L0]
% --------------- End of Proof ---------------
% PROOF FOUND!
% ---------------------------------------------
% |                Statistics                 |
% ---------------------------------------------
% Profile 3: Performance Statistics:
% ==================================
% Total number of generated clauses: 11581697
% 	resolvents: 11145624	factors: 436073
% Number of unit clauses generated: 6334814
% % unit clauses generated to total clauses generated: 54.70
% Number of unit clauses constructed and retained at depth [x]:
% =============================================================
% [0] = 8		[1] = 15	[2] = 25	[3] = 8		
% [4] = 10	[5] = 23	[6] = 16	[7] = 19	
% Total = 124
% Number of generated clauses having [x] literals:
% ------------------------------------------------
% [1] = 6334814	[2] = 4522791	[3] = 723838	[4] = 251	[5] = 3	
% Average size of a generated clause: 2.0
% Number of unit clauses per predicate list:
% ==========================================
% [0] p10_2		(+)1	(-)0
% [1] p11_2		(+)1	(-)7
% [2] p2_2		(+)17	(-)14
% [3] p4_2		(+)25	(-)0
% [4] p7_2		(+)1	(-)0
% [5] p9_2		(+)11	(-)0
% [6] p8_3		(+)41	(-)6
% 			------------------
% 		Total:	(+)97	(-)27
% Total number of unit clauses retained: 124
% Number of clauses skipped because of their length: 13729313
% N base clauses skippped in resolve-with-all-base-clauses
% 	because of the shortest resolvents table: 0
% Number of successful unifications: 11581709
% Number of unification failures: 35648186
% Number of unit to unit unification failures: 485
% N literal unification failure due to lookup root_id table: 13309159
% N base clause resolution failure due to lookup table: 4731378
% N UC-BCL resolution dropped due to lookup table: 225273
% Max entries in substitution set: 14
% N unit clauses dropped because they exceeded max values: 5530092
% N unit clauses dropped because too much nesting: 2901123
% 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: 208
% Total number of terms of all unit clauses in table: 652
% 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: 0.32
% Number of symbols (columns) in UCFA: 49
% Profile 2: Number of calls to:
% ==============================
% PTUnify() = 47229895
% ConstructUnitClause() = 5530208
% Profile 1: Time spent in:
% =========================
% ConstructUnitClause() : 6.79 secs
% --------------------------------------------------------
% |                                                      |
%   Inferences per sec: 373603
% |                                                      |
% --------------------------------------------------------
% Elapsed time: 32 secs
% CPU time: 31.02 secs
% 
%------------------------------------------------------------------------------