TSTP Solution File: SYN618-1 by CARINE---0.734

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CARINE---0.734
% Problem  : SYN618-1 : TPTP v5.0.0. Released v2.5.0.
% Transfm  : add_equality
% Format   : carine
% Command  : carine %s t=%d xo=off uct=32000

% Computer : art05.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 10:49:53 EST 2010

% Result   : Unsatisfiable 0.17s
% Output   : Refutation 0.17s
% 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/SystemOnTPTP7312/SYN/SYN618-1+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 = 53] [nf = 0] [nu = 23] [ut = 31]
% Looking for a proof at depth = 2 ...
% 	t = 0 secs [nr = 874] [nf = 16] [nu = 477] [ut = 95]
% Looking for a proof at depth = 3 ...
% +================================================+
% |                                                |
% | Congratulations!!! ........ A proof was found. |
% |                                                |
% +================================================+
% Base Clauses and Unit Clauses used in proof:
% ============================================
% Base Clauses:
% -------------
% B0: p10_2(x0,x0)
% B3: p5_2(x0,x0)
% B7: p13_2(c19_0(),c23_0())
% B12: ~p5_2(f8_2(f3_1(c16_0()),c20_0()),f6_1(f7_1(c22_0())))
% B13: p5_2(f8_2(f3_1(c16_0()),c23_0()),f6_1(f7_1(c22_0())))
% B15: p2_2(x0,x0)
% B19: ~p2_2(x0,x2) | ~p5_2(x1,x3) | p5_2(f8_2(x0,x1),f8_2(x2,x3))
% B24: ~p5_2(x2,x1) | ~p5_2(x2,x0) | p5_2(x0,x1)
% B31: ~p13_2(c19_0(),x0) | ~p13_2(x0,c21_0()) | ~p5_2(f8_2(c17_0(),x0),f6_1(f7_1(c22_0()))) | p5_2(x0,c20_0())
% Unit Clauses:
% --------------
% U9: < d0 v0 dv0 f0 c2 t2 td1 b nc > p13_2(c23_0(),c21_0())
% U13: < d0 v0 dv0 f4 c3 t7 td3 b nc > p5_2(f8_2(f3_1(c16_0()),c23_0()),f6_1(f7_1(c22_0())))
% U14: < d0 v0 dv0 f1 c2 t3 td2 b nc > p2_2(c17_0(),f3_1(c16_0()))
% U31: < d2 v2 dv1 f3 c2 t7 td3 > p5_2(f8_2(c17_0(),x0),f8_2(f3_1(c16_0()),x0))
% U39: < d2 v2 dv1 f3 c2 t7 td3 > p5_2(f8_2(f3_1(c16_0()),x0),f8_2(c17_0(),x0))
% U47: < d2 v0 dv0 f4 c4 t8 td3 > ~p5_2(f8_2(f3_1(c16_0()),c23_0()),f8_2(f3_1(c16_0()),c20_0()))
% U50: < d2 v0 dv0 f3 c3 t6 td3 > p5_2(f8_2(c17_0(),c23_0()),f6_1(f7_1(c22_0())))
% U72: < d2 v0 dv0 f0 c2 t2 td1 > ~p5_2(c23_0(),c20_0())
% U97: < d3 v0 dv0 f0 c2 t2 td1 > p5_2(c23_0(),c20_0())
% --------------- Start of Proof ---------------
% Derivation of unit clause U9:
% p13_2(c23_0(),c21_0()) ....... U9
% Derivation of unit clause U13:
% p5_2(f8_2(f3_1(c16_0()),c23_0()),f6_1(f7_1(c22_0()))) ....... U13
% Derivation of unit clause U14:
% p2_2(c17_0(),f3_1(c16_0())) ....... U14
% Derivation of unit clause U31:
% p5_2(x0,x0) ....... B3
% ~p2_2(x0,x2) | ~p5_2(x1,x3) | p5_2(f8_2(x0,x1),f8_2(x2,x3)) ....... B19
%  ~p2_2(x0, x1) | p5_2(f8_2(x0, x2), f8_2(x1, x2)) ....... R1 [B3:L0, B19:L1]
%  p2_2(c17_0(),f3_1(c16_0())) ....... U14
%   p5_2(f8_2(c17_0(), x0), f8_2(f3_1(c16_0()), x0)) ....... R2 [R1:L0, U14:L0]
% Derivation of unit clause U39:
% p5_2(x0,x0) ....... B3
% ~p5_2(x2,x1) | ~p5_2(x2,x0) | p5_2(x0,x1) ....... B24
%  ~p5_2(x0, x1) | p5_2(x1, x0) ....... R1 [B3:L0, B24:L0]
%  p5_2(f8_2(c17_0(),x0),f8_2(f3_1(c16_0()),x0)) ....... U31
%   p5_2(f8_2(f3_1(c16_0()), x0), f8_2(c17_0(), x0)) ....... R2 [R1:L0, U31:L0]
% Derivation of unit clause U47:
% ~p5_2(f8_2(f3_1(c16_0()),c20_0()),f6_1(f7_1(c22_0()))) ....... B12
% ~p5_2(x2,x1) | ~p5_2(x2,x0) | p5_2(x0,x1) ....... B24
%  ~p5_2(x0, f6_1(f7_1(c22_0()))) | ~p5_2(x0, f8_2(f3_1(c16_0()), c20_0())) ....... R1 [B12:L0, B24:L2]
%  p5_2(f8_2(f3_1(c16_0()),c23_0()),f6_1(f7_1(c22_0()))) ....... U13
%   ~p5_2(f8_2(f3_1(c16_0()), c23_0()), f8_2(f3_1(c16_0()), c20_0())) ....... R2 [R1:L0, U13:L0]
% Derivation of unit clause U50:
% p5_2(f8_2(f3_1(c16_0()),c23_0()),f6_1(f7_1(c22_0()))) ....... B13
% ~p5_2(x2,x1) | ~p5_2(x2,x0) | p5_2(x0,x1) ....... B24
%  ~p5_2(f8_2(f3_1(c16_0()), c23_0()), x0) | p5_2(x0, f6_1(f7_1(c22_0()))) ....... R1 [B13:L0, B24:L0]
%  p5_2(f8_2(f3_1(c16_0()),x0),f8_2(c17_0(),x0)) ....... U39
%   p5_2(f8_2(c17_0(), c23_0()), f6_1(f7_1(c22_0()))) ....... R2 [R1:L0, U39:L0]
% Derivation of unit clause U72:
% p2_2(x0,x0) ....... B15
% ~p2_2(x0,x2) | ~p5_2(x1,x3) | p5_2(f8_2(x0,x1),f8_2(x2,x3)) ....... B19
%  ~p5_2(x0, x1) | p5_2(f8_2(x2, x0), f8_2(x2, x1)) ....... R1 [B15:L0, B19:L0]
%  ~p5_2(f8_2(f3_1(c16_0()),c23_0()),f8_2(f3_1(c16_0()),c20_0())) ....... U47
%   ~p5_2(c23_0(), c20_0()) ....... R2 [R1:L1, U47:L0]
% Derivation of unit clause U97:
% p13_2(c19_0(),c23_0()) ....... B7
% ~p13_2(c19_0(),x0) | ~p13_2(x0,c21_0()) | ~p5_2(f8_2(c17_0(),x0),f6_1(f7_1(c22_0()))) | p5_2(x0,c20_0()) ....... B31
%  ~p13_2(c23_0(), c21_0()) | ~p5_2(f8_2(c17_0(), c23_0()), f6_1(f7_1(c22_0()))) | p5_2(c23_0(), c20_0()) ....... R1 [B7:L0, B31:L0]
%  p13_2(c23_0(),c21_0()) ....... U9
%   ~p5_2(f8_2(c17_0(), c23_0()), f6_1(f7_1(c22_0()))) | p5_2(c23_0(), c20_0()) ....... R2 [R1:L0, U9:L0]
%   p5_2(f8_2(c17_0(),c23_0()),f6_1(f7_1(c22_0()))) ....... U50
%    p5_2(c23_0(), c20_0()) ....... R3 [R2:L0, U50:L0]
% Derivation of the empty clause:
% p5_2(c23_0(),c20_0()) ....... U97
% ~p5_2(c23_0(),c20_0()) ....... U72
%  [] ....... R1 [U97:L0, U72:L0]
% --------------- End of Proof ---------------
% PROOF FOUND!
% ---------------------------------------------
% |                Statistics                 |
% ---------------------------------------------
% Profile 3: Performance Statistics:
% ==================================
% Total number of generated clauses: 1500
% 	resolvents: 1446	factors: 54
% Number of unit clauses generated: 728
% % unit clauses generated to total clauses generated: 48.53
% Number of unit clauses constructed and retained at depth [x]:
% =============================================================
% [0] = 16	[1] = 15	[2] = 64	[3] = 3		
% Total = 98
% Number of generated clauses having [x] literals:
% ------------------------------------------------
% [1] = 728	[2] = 678	[3] = 94	
% Average size of a generated clause: 2.0
% Number of unit clauses per predicate list:
% ==========================================
% [0] p9_1		(+)1	(-)0
% [1] p10_2		(+)1	(-)0
% [2] p12_2		(+)2	(-)0
% [3] p13_2		(+)3	(-)0
% [4] p14_2		(+)1	(-)0
% [5] p15_2		(+)0	(-)1
% [6] p2_2		(+)21	(-)0
% [7] p4_2		(+)5	(-)0
% [8] p5_2		(+)54	(-)8
% [9] p11_3		(+)1	(-)0
% 			------------------
% 		Total:	(+)89	(-)9
% Total number of unit clauses retained: 98
% Number of clauses skipped because of their length: 2180
% N base clauses skippped in resolve-with-all-base-clauses
% 	because of the shortest resolvents table: 0
% Number of successful unifications: 1513
% Number of unification failures: 2058
% Number of unit to unit unification failures: 430
% N literal unification failure due to lookup root_id table: 1509
% N base clause resolution failure due to lookup table: 1166
% N UC-BCL resolution dropped due to lookup table: 0
% Max entries in substitution set: 7
% N unit clauses dropped because they exceeded max values: 459
% N unit clauses dropped because too much nesting: 49
% 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: 11
% Max term depth in a unit clause: 5
% Number of states in UCFA table: 336
% Total number of terms of all unit clauses in table: 690
% Max allowed number of states in UCFA: 104000
% Ratio n states used/total allowed states: 0.00
% Ratio n states used/total unit clauses terms: 0.49
% Number of symbols (columns) in UCFA: 57
% Profile 2: Number of calls to:
% ==============================
% PTUnify() = 3571
% ConstructUnitClause() = 541
% Profile 1: Time spent in:
% =========================
% ConstructUnitClause() : 0.00 secs
% --------------------------------------------------------
% |                                                      |
%   Inferences per sec: inf
% |                                                      |
% --------------------------------------------------------
% Elapsed time: 0 secs
% CPU time: 0.17 secs
% 
%------------------------------------------------------------------------------