TSTP Solution File: PUZ005-1 by CARINE---0.734

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CARINE---0.734
% Problem  : PUZ005-1 : TPTP v5.0.0. Released v1.0.0.
% Transfm  : add_equality
% Format   : carine
% Command  : carine %s t=%d xo=off uct=32000

% Computer : art04.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 03:50:57 EST 2010

% Result   : Unsatisfiable 121.17s
% Output   : Refutation 121.17s
% 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/SystemOnTPTP22650/PUZ/PUZ005-1+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 = 132] [nf = 0] [nu = 4] [ut = 5]
% Looking for a proof at depth = 2 ...
% 	t = 0 secs [nr = 994] [nf = 4] [nu = 21] [ut = 6]
% Looking for a proof at depth = 3 ...
% 	t = 0 secs [nr = 5550] [nf = 40] [nu = 90] [ut = 6]
% Looking for a proof at depth = 4 ...
% 	t = 0 secs [nr = 28132] [nf = 134] [nu = 339] [ut = 6]
% Looking for a proof at depth = 5 ...
% 	t = 1 secs [nr = 140412] [nf = 830] [nu = 4854] [ut = 22]
% Looking for a proof at depth = 6 ...
% 	t = 2 secs [nr = 743264] [nf = 5408] [nu = 29466] [ut = 27]
% Looking for a proof at depth = 7 ...
% 	t = 10 secs [nr = 3669086] [nf = 49606] [nu = 131531] [ut = 27]
% Looking for a proof at depth = 8 ...
% 	t = 46 secs [nr = 17671486] [nf = 222240] [nu = 562078] [ut = 27]
% Looking for a proof at depth = 9 ...
% Entering time slice 2
% Updating parameters ... done.
% Looking for a proof at depth = 1 ...
% 	t = 122 secs [nr = 45207066] [nf = 837108] [nu = 1057843] [ut = 27]
% Looking for a proof at depth = 2 ...
% 	t = 122 secs [nr = 45208035] [nf = 837112] [nu = 1057953] [ut = 27]
% Looking for a proof at depth = 3 ...
% 	t = 122 secs [nr = 45213162] [nf = 837180] [nu = 1058336] [ut = 27]
% Looking for a proof at depth = 4 ...
% +================================================+
% |                                                |
% | Congratulations!!! ........ A proof was found. |
% |                                                |
% +================================================+
% Base Clauses and Unit Clauses used in proof:
% ============================================
% Base Clauses:
% -------------
% B0: ~thursday_1(today_0())
% B1: admits_3(lion_0(),today_0(),yesterday_1(today_0()))
% B2: admits_3(unicorn_0(),today_0(),yesterday_1(today_0()))
% B14: ~saturday_1(x0) | ~sunday_1(x0)
% B25: ~monday_1(x0) | sunday_1(yesterday_1(x0))
% B27: ~sunday_1(x0) | saturday_1(yesterday_1(x0))
% B37: ~wednesday_1(yesterday_1(x0)) | thursday_1(x0)
% B44: ~member_2(x0,lying_days_1(x1)) | member_2(x2,lying_days_1(x1)) | admits_3(x1,x0,x2)
% B46: ~member_2(x2,lying_days_1(x1)) | ~member_2(x0,lying_days_1(x1)) | ~admits_3(x1,x0,x2)
% B47: ~admits_3(x1,x0,x2) | member_2(x0,lying_days_1(x1)) | member_2(x2,lying_days_1(x1))
% B48: ~member_2(x0,lying_days_1(lion_0())) | monday_1(x0) | tuesday_1(x0) | wednesday_1(x0)
% B49: ~member_2(x0,lying_days_1(unicorn_0())) | friday_1(x0) | saturday_1(x0) | thursday_1(x0)
% Unit Clauses:
% --------------
% U1: < d0 v0 dv0 f1 c3 t4 td2 b > admits_3(lion_0(),today_0(),yesterday_1(today_0()))
% U2: < d0 v0 dv0 f1 c3 t4 td2 b > admits_3(unicorn_0(),today_0(),yesterday_1(today_0()))
% U3: < d1 v0 dv0 f1 c1 t2 td2 > ~wednesday_1(yesterday_1(today_0()))
% U6: < d5 v0 dv0 f0 c1 t1 td1 > ~tuesday_1(today_0())
% U7: < d5 v0 dv0 f1 c1 t2 td2 > ~monday_1(yesterday_1(today_0()))
% U8: < d5 v0 dv0 f0 c1 t1 td1 > ~wednesday_1(today_0())
% U9: < d5 v0 dv0 f1 c1 t2 td2 > ~tuesday_1(yesterday_1(today_0()))
% U11: < d5 v0 dv0 f1 c1 t2 td2 > ~friday_1(yesterday_1(today_0()))
% U12: < d5 v0 dv0 f1 c1 t2 td2 > ~thursday_1(yesterday_1(today_0()))
% U13: < d5 v0 dv0 f0 c1 t1 td1 > ~friday_1(today_0())
% U18: < d5 v0 dv0 f2 c1 t3 td3 > ~sunday_1(yesterday_1(yesterday_1(today_0())))
% U23: < d6 v0 dv0 f2 c2 t4 td2 > member_2(yesterday_1(today_0()),lying_days_1(unicorn_0()))
% U27: < d4 v0 dv0 f1 c1 t2 td2 > ~sunday_1(yesterday_1(today_0()))
% U32: < d4 v0 dv0 f2 c2 t4 td2 > ~member_2(yesterday_1(today_0()),lying_days_1(lion_0()))
% U34: < d4 v0 dv0 f1 c2 t3 td2 > ~member_2(today_0(),lying_days_1(lion_0()))
% U53: < d4 v0 dv0 f0 c3 t3 td1 > admits_3(lion_0(),today_0(),today_0())
% U66: < d4 v0 dv0 f1 c2 t3 td2 > member_2(today_0(),lying_days_1(lion_0()))
% --------------- Start of Proof ---------------
% Derivation of unit clause U1:
% admits_3(lion_0(),today_0(),yesterday_1(today_0())) ....... U1
% Derivation of unit clause U2:
% admits_3(unicorn_0(),today_0(),yesterday_1(today_0())) ....... U2
% Derivation of unit clause U3:
% ~thursday_1(today_0()) ....... B0
% ~wednesday_1(yesterday_1(x0)) | thursday_1(x0) ....... B37
%  ~wednesday_1(yesterday_1(today_0())) ....... R1 [B0:L0, B37:L1]
% Derivation of unit clause U6:
% admits_3(lion_0(),today_0(),yesterday_1(today_0())) ....... B1
% ~member_2(x2,lying_days_1(x1)) | ~member_2(x0,lying_days_1(x1)) | ~admits_3(x1,x0,x2) ....... B46
%  ~member_2(yesterday_1(today_0()), lying_days_1(lion_0())) | ~member_2(today_0(), lying_days_1(lion_0())) ....... R1 [B1:L0, B46:L2]
%  ~monday_1(x0) | member_2(x0,lying_days_1(lion_0())) ....... B39
%   ~member_2(today_0(), lying_days_1(lion_0())) | ~monday_1(yesterday_1(today_0())) ....... R2 [R1:L0, B39:L1]
%   ~tuesday_1(x0) | monday_1(yesterday_1(x0)) ....... B29
%    ~member_2(today_0(), lying_days_1(lion_0())) | ~tuesday_1(today_0()) ....... R3 [R2:L1, B29:L1]
%    ~tuesday_1(x0) | member_2(x0,lying_days_1(lion_0())) ....... B42
%     ~tuesday_1(today_0()) | ~tuesday_1(today_0()) ....... R4 [R3:L0, B42:L1]
%      ~tuesday_1(today_0()) ....... R5 [R4:L0, R4:L1]
% Derivation of unit clause U7:
% admits_3(lion_0(),today_0(),yesterday_1(today_0())) ....... B1
% ~member_2(x2,lying_days_1(x1)) | ~member_2(x0,lying_days_1(x1)) | ~admits_3(x1,x0,x2) ....... B46
%  ~member_2(yesterday_1(today_0()), lying_days_1(lion_0())) | ~member_2(today_0(), lying_days_1(lion_0())) ....... R1 [B1:L0, B46:L2]
%  ~monday_1(x0) | member_2(x0,lying_days_1(lion_0())) ....... B39
%   ~member_2(today_0(), lying_days_1(lion_0())) | ~monday_1(yesterday_1(today_0())) ....... R2 [R1:L0, B39:L1]
%   ~tuesday_1(x0) | member_2(x0,lying_days_1(lion_0())) ....... B42
%    ~monday_1(yesterday_1(today_0())) | ~tuesday_1(today_0()) ....... R3 [R2:L0, B42:L1]
%    ~monday_1(yesterday_1(x0)) | tuesday_1(x0) ....... B32
%     ~monday_1(yesterday_1(today_0())) | ~monday_1(yesterday_1(today_0())) ....... R4 [R3:L1, B32:L1]
%      ~monday_1(yesterday_1(today_0())) ....... R5 [R4:L0, R4:L1]
% Derivation of unit clause U8:
% admits_3(lion_0(),today_0(),yesterday_1(today_0())) ....... B1
% ~member_2(x2,lying_days_1(x1)) | ~member_2(x0,lying_days_1(x1)) | ~admits_3(x1,x0,x2) ....... B46
%  ~member_2(yesterday_1(today_0()), lying_days_1(lion_0())) | ~member_2(today_0(), lying_days_1(lion_0())) ....... R1 [B1:L0, B46:L2]
%  ~tuesday_1(x0) | member_2(x0,lying_days_1(lion_0())) ....... B42
%   ~member_2(today_0(), lying_days_1(lion_0())) | ~tuesday_1(yesterday_1(today_0())) ....... R2 [R1:L0, B42:L1]
%   ~wednesday_1(x0) | tuesday_1(yesterday_1(x0)) ....... B30
%    ~member_2(today_0(), lying_days_1(lion_0())) | ~wednesday_1(today_0()) ....... R3 [R2:L1, B30:L1]
%    ~wednesday_1(x0) | member_2(x0,lying_days_1(lion_0())) ....... B43
%     ~wednesday_1(today_0()) | ~wednesday_1(today_0()) ....... R4 [R3:L0, B43:L1]
%      ~wednesday_1(today_0()) ....... R5 [R4:L0, R4:L1]
% Derivation of unit clause U9:
% admits_3(lion_0(),today_0(),yesterday_1(today_0())) ....... B1
% ~member_2(x2,lying_days_1(x1)) | ~member_2(x0,lying_days_1(x1)) | ~admits_3(x1,x0,x2) ....... B46
%  ~member_2(yesterday_1(today_0()), lying_days_1(lion_0())) | ~member_2(today_0(), lying_days_1(lion_0())) ....... R1 [B1:L0, B46:L2]
%  ~tuesday_1(x0) | member_2(x0,lying_days_1(lion_0())) ....... B42
%   ~member_2(today_0(), lying_days_1(lion_0())) | ~tuesday_1(yesterday_1(today_0())) ....... R2 [R1:L0, B42:L1]
%   ~wednesday_1(x0) | member_2(x0,lying_days_1(lion_0())) ....... B43
%    ~tuesday_1(yesterday_1(today_0())) | ~wednesday_1(today_0()) ....... R3 [R2:L0, B43:L1]
%    ~tuesday_1(yesterday_1(x0)) | wednesday_1(x0) ....... B36
%     ~tuesday_1(yesterday_1(today_0())) | ~tuesday_1(yesterday_1(today_0())) ....... R4 [R3:L1, B36:L1]
%      ~tuesday_1(yesterday_1(today_0())) ....... R5 [R4:L0, R4:L1]
% Derivation of unit clause U11:
% admits_3(unicorn_0(),today_0(),yesterday_1(today_0())) ....... B2
% ~member_2(x2,lying_days_1(x1)) | ~member_2(x0,lying_days_1(x1)) | ~admits_3(x1,x0,x2) ....... B46
%  ~member_2(yesterday_1(today_0()), lying_days_1(unicorn_0())) | ~member_2(today_0(), lying_days_1(unicorn_0())) ....... R1 [B2:L0, B46:L2]
%  ~friday_1(x0) | member_2(x0,lying_days_1(unicorn_0())) ....... B38
%   ~member_2(today_0(), lying_days_1(unicorn_0())) | ~friday_1(yesterday_1(today_0())) ....... R2 [R1:L0, B38:L1]
%   ~saturday_1(x0) | member_2(x0,lying_days_1(unicorn_0())) ....... B40
%    ~friday_1(yesterday_1(today_0())) | ~saturday_1(today_0()) ....... R3 [R2:L0, B40:L1]
%    ~friday_1(yesterday_1(x0)) | saturday_1(x0) ....... B31
%     ~friday_1(yesterday_1(today_0())) | ~friday_1(yesterday_1(today_0())) ....... R4 [R3:L1, B31:L1]
%      ~friday_1(yesterday_1(today_0())) ....... R5 [R4:L0, R4:L1]
% Derivation of unit clause U12:
% admits_3(unicorn_0(),today_0(),yesterday_1(today_0())) ....... B2
% ~member_2(x2,lying_days_1(x1)) | ~member_2(x0,lying_days_1(x1)) | ~admits_3(x1,x0,x2) ....... B46
%  ~member_2(yesterday_1(today_0()), lying_days_1(unicorn_0())) | ~member_2(today_0(), lying_days_1(unicorn_0())) ....... R1 [B2:L0, B46:L2]
%  ~friday_1(x0) | member_2(x0,lying_days_1(unicorn_0())) ....... B38
%   ~member_2(yesterday_1(today_0()), lying_days_1(unicorn_0())) | ~friday_1(today_0()) ....... R2 [R1:L1, B38:L1]
%   ~thursday_1(yesterday_1(x0)) | friday_1(x0) ....... B35
%    ~member_2(yesterday_1(today_0()), lying_days_1(unicorn_0())) | ~thursday_1(yesterday_1(today_0())) ....... R3 [R2:L1, B35:L1]
%    ~thursday_1(x0) | member_2(x0,lying_days_1(unicorn_0())) ....... B41
%     ~thursday_1(yesterday_1(today_0())) | ~thursday_1(yesterday_1(today_0())) ....... R4 [R3:L0, B41:L1]
%      ~thursday_1(yesterday_1(today_0())) ....... R5 [R4:L0, R4:L1]
% Derivation of unit clause U13:
% admits_3(unicorn_0(),today_0(),yesterday_1(today_0())) ....... B2
% ~member_2(x2,lying_days_1(x1)) | ~member_2(x0,lying_days_1(x1)) | ~admits_3(x1,x0,x2) ....... B46
%  ~member_2(yesterday_1(today_0()), lying_days_1(unicorn_0())) | ~member_2(today_0(), lying_days_1(unicorn_0())) ....... R1 [B2:L0, B46:L2]
%  ~friday_1(x0) | member_2(x0,lying_days_1(unicorn_0())) ....... B38
%   ~member_2(yesterday_1(today_0()), lying_days_1(unicorn_0())) | ~friday_1(today_0()) ....... R2 [R1:L1, B38:L1]
%   ~thursday_1(x0) | member_2(x0,lying_days_1(unicorn_0())) ....... B41
%    ~friday_1(today_0()) | ~thursday_1(yesterday_1(today_0())) ....... R3 [R2:L0, B41:L1]
%    ~friday_1(x0) | thursday_1(yesterday_1(x0)) ....... B24
%     ~friday_1(today_0()) | ~friday_1(today_0()) ....... R4 [R3:L1, B24:L1]
%      ~friday_1(today_0()) ....... R5 [R4:L0, R4:L1]
% Derivation of unit clause U18:
% ~monday_1(x0) | sunday_1(yesterday_1(x0)) ....... B25
% ~sunday_1(x0) | saturday_1(yesterday_1(x0)) ....... B27
%  ~monday_1(x0) | saturday_1(yesterday_1(yesterday_1(x0))) ....... R1 [B25:L1, B27:L0]
%  ~saturday_1(yesterday_1(x0)) | sunday_1(x0) ....... B33
%   ~monday_1(x0) | sunday_1(yesterday_1(x0)) ....... R2 [R1:L1, B33:L0]
%   ~sunday_1(yesterday_1(x0)) | monday_1(x0) ....... B34
%    sunday_1(yesterday_1(x0)) | ~sunday_1(yesterday_1(x0)) ....... R3 [R2:L0, B34:L1]
%    ~sunday_1(yesterday_1(x0)) | monday_1(x0) ....... B34
%     ~sunday_1(yesterday_1(x0)) | monday_1(x0) ....... R4 [R3:L0, B34:L0]
%     ~monday_1(yesterday_1(today_0())) ....... U7
%      ~sunday_1(yesterday_1(yesterday_1(today_0()))) ....... R5 [R4:L1, U7:L0]
% Derivation of unit clause U23:
% ~thursday_1(today_0()) ....... B0
% ~member_2(x0,lying_days_1(unicorn_0())) | friday_1(x0) | saturday_1(x0) | thursday_1(x0) ....... B49
%  ~member_2(today_0(), lying_days_1(unicorn_0())) | friday_1(today_0()) | saturday_1(today_0()) ....... R1 [B0:L0, B49:L3]
%  ~friday_1(today_0()) ....... U13
%   ~member_2(today_0(), lying_days_1(unicorn_0())) | saturday_1(today_0()) ....... R2 [R1:L1, U13:L0]
%   ~saturday_1(x0) | friday_1(yesterday_1(x0)) ....... B26
%    ~member_2(today_0(), lying_days_1(unicorn_0())) | friday_1(yesterday_1(today_0())) ....... R3 [R2:L1, B26:L0]
%    ~admits_3(x1,x0,x2) | member_2(x0,lying_days_1(x1)) | member_2(x2,lying_days_1(x1)) ....... B47
%     friday_1(yesterday_1(today_0())) | ~admits_3(unicorn_0(), today_0(), x0) | member_2(x0, lying_days_1(unicorn_0())) ....... R4 [R3:L0, B47:L1]
%     ~friday_1(yesterday_1(today_0())) ....... U11
%      ~admits_3(unicorn_0(), today_0(), x0) | member_2(x0, lying_days_1(unicorn_0())) ....... R5 [R4:L0, U11:L0]
%      admits_3(unicorn_0(),today_0(),yesterday_1(today_0())) ....... U2
%       member_2(yesterday_1(today_0()), lying_days_1(unicorn_0())) ....... R6 [R5:L0, U2:L0]
% Derivation of unit clause U27:
% ~saturday_1(x0) | ~sunday_1(x0) ....... B14
% ~member_2(x0,lying_days_1(unicorn_0())) | friday_1(x0) | saturday_1(x0) | thursday_1(x0) ....... B49
%  ~sunday_1(x0) | ~member_2(x0, lying_days_1(unicorn_0())) | friday_1(x0) | thursday_1(x0) ....... R1 [B14:L0, B49:L2]
%  member_2(yesterday_1(today_0()),lying_days_1(unicorn_0())) ....... U23
%   ~sunday_1(yesterday_1(today_0())) | friday_1(yesterday_1(today_0())) | thursday_1(yesterday_1(today_0())) ....... R2 [R1:L1, U23:L0]
%   ~friday_1(yesterday_1(today_0())) ....... U11
%    ~sunday_1(yesterday_1(today_0())) | thursday_1(yesterday_1(today_0())) ....... R3 [R2:L1, U11:L0]
%    ~thursday_1(yesterday_1(today_0())) ....... U12
%     ~sunday_1(yesterday_1(today_0())) ....... R4 [R3:L1, U12:L0]
% Derivation of unit clause U32:
% ~monday_1(x0) | sunday_1(yesterday_1(x0)) ....... B25
% ~member_2(x0,lying_days_1(lion_0())) | monday_1(x0) | tuesday_1(x0) | wednesday_1(x0) ....... B48
%  sunday_1(yesterday_1(x0)) | ~member_2(x0, lying_days_1(lion_0())) | tuesday_1(x0) | wednesday_1(x0) ....... R1 [B25:L0, B48:L1]
%  ~sunday_1(yesterday_1(yesterday_1(today_0()))) ....... U18
%   ~member_2(yesterday_1(today_0()), lying_days_1(lion_0())) | tuesday_1(yesterday_1(today_0())) | wednesday_1(yesterday_1(today_0())) ....... R2 [R1:L0, U18:L0]
%   ~tuesday_1(yesterday_1(today_0())) ....... U9
%    ~member_2(yesterday_1(today_0()), lying_days_1(lion_0())) | wednesday_1(yesterday_1(today_0())) ....... R3 [R2:L1, U9:L0]
%    ~wednesday_1(yesterday_1(today_0())) ....... U3
%     ~member_2(yesterday_1(today_0()), lying_days_1(lion_0())) ....... R4 [R3:L1, U3:L0]
% Derivation of unit clause U34:
% ~monday_1(x0) | sunday_1(yesterday_1(x0)) ....... B25
% ~member_2(x0,lying_days_1(lion_0())) | monday_1(x0) | tuesday_1(x0) | wednesday_1(x0) ....... B48
%  sunday_1(yesterday_1(x0)) | ~member_2(x0, lying_days_1(lion_0())) | tuesday_1(x0) | wednesday_1(x0) ....... R1 [B25:L0, B48:L1]
%  ~sunday_1(yesterday_1(today_0())) ....... U27
%   ~member_2(today_0(), lying_days_1(lion_0())) | tuesday_1(today_0()) | wednesday_1(today_0()) ....... R2 [R1:L0, U27:L0]
%   ~tuesday_1(today_0()) ....... U6
%    ~member_2(today_0(), lying_days_1(lion_0())) | wednesday_1(today_0()) ....... R3 [R2:L1, U6:L0]
%    ~wednesday_1(today_0()) ....... U8
%     ~member_2(today_0(), lying_days_1(lion_0())) ....... R4 [R3:L1, U8:L0]
% Derivation of unit clause U53:
% ~member_2(x0,lying_days_1(x1)) | member_2(x2,lying_days_1(x1)) | admits_3(x1,x0,x2) ....... B44
% ~admits_3(x1,x0,x2) | member_2(x0,lying_days_1(x1)) | member_2(x2,lying_days_1(x1)) ....... B47
%  member_2(x0, lying_days_1(x1)) | admits_3(x1, x2, x0) | ~admits_3(x1, x2, x3) | member_2(x3, lying_days_1(x1)) ....... R1 [B44:L0, B47:L1]
%  ~member_2(today_0(),lying_days_1(lion_0())) ....... U34
%   admits_3(lion_0(), x0, today_0()) | ~admits_3(lion_0(), x0, x1) | member_2(x1, lying_days_1(lion_0())) ....... R2 [R1:L0, U34:L0]
%   admits_3(lion_0(),today_0(),yesterday_1(today_0())) ....... U1
%    admits_3(lion_0(), today_0(), today_0()) | member_2(yesterday_1(today_0()), lying_days_1(lion_0())) ....... R3 [R2:L1, U1:L0]
%    ~member_2(yesterday_1(today_0()),lying_days_1(lion_0())) ....... U32
%     admits_3(lion_0(), today_0(), today_0()) ....... R4 [R3:L1, U32:L0]
% Derivation of unit clause U66:
% ~member_2(x2,lying_days_1(x1)) | ~member_2(x0,lying_days_1(x1)) | ~admits_3(x1,x0,x2) ....... B46
%  ~member_2(x0, lying_days_1(x1)) | ~admits_3(x1, x0, x0) ....... R1 [B46:L0, B46:L1]
%  ~admits_3(x1,x0,x2) | member_2(x0,lying_days_1(x1)) | member_2(x2,lying_days_1(x1)) ....... B47
%   ~admits_3(x0, x1, x1) | ~admits_3(x0, x1, x2) | member_2(x2, lying_days_1(x0)) ....... R2 [R1:L0, B47:L1]
%    ~admits_3(x0, x1, x1) | member_2(x1, lying_days_1(x0)) ....... R3 [R2:L0, R2:L1]
%    admits_3(lion_0(),today_0(),today_0()) ....... U53
%     member_2(today_0(), lying_days_1(lion_0())) ....... R4 [R3:L0, U53:L0]
% Derivation of the empty clause:
% member_2(today_0(),lying_days_1(lion_0())) ....... U66
% ~member_2(today_0(),lying_days_1(lion_0())) ....... U34
%  [] ....... R1 [U66:L0, U34:L0]
% --------------- End of Proof ---------------
% PROOF FOUND!
% ---------------------------------------------
% |                Statistics                 |
% ---------------------------------------------
% Profile 3: Performance Statistics:
% ==================================
% Total number of generated clauses: 46113065
% 	resolvents: 45274993	factors: 838072
% Number of unit clauses generated: 1066997
% % unit clauses generated to total clauses generated: 2.31
% Number of unit clauses constructed and retained at depth [x]:
% =============================================================
% [0] = 3		[1] = 2		[2] = 1		[4] = 40	[5] = 16	[6] = 5		
% Total = 67
% Number of generated clauses having [x] literals:
% ------------------------------------------------
% [1] = 1066997	[2] = 35298856	[3] = 9745281	[4] = 1927	[5] = 4	
% Average size of a generated clause: 3.0
% Number of unit clauses per predicate list:
% ==========================================
% [0] friday_1		(+)1	(-)3
% [1] monday_1		(+)0	(-)4
% [2] saturday_1		(+)1	(-)3
% [3] sunday_1		(+)1	(-)3
% [4] thursday_1		(+)1	(-)3
% [5] tuesday_1		(+)0	(-)4
% [6] wednesday_1		(+)0	(-)4
% [7] member_2		(+)4	(-)5
% [8] admits_3		(+)21	(-)9
% 			------------------
% 		Total:	(+)29	(-)38
% Total number of unit clauses retained: 67
% Number of clauses skipped because of their length: 34597136
% N base clauses skippped in resolve-with-all-base-clauses
% 	because of the shortest resolvents table: 4122529
% Number of successful unifications: 46113132
% Number of unification failures: 10282794
% Number of unit to unit unification failures: 219
% N literal unification failure due to lookup root_id table: 305131475
% N base clause resolution failure due to lookup table: 704222875
% N UC-BCL resolution dropped due to lookup table: 82090
% Max entries in substitution set: 15
% N unit clauses dropped because they exceeded max values: 823141
% N unit clauses dropped because too much nesting: 136581
% 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: 112
% Total number of terms of all unit clauses in table: 283
% 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: 0.40
% Number of symbols (columns) in UCFA: 48
% Profile 2: Number of calls to:
% ==============================
% PTUnify() = 56395926
% ConstructUnitClause() = 823205
% Profile 1: Time spent in:
% =========================
% ConstructUnitClause() : 1.03 secs
% --------------------------------------------------------
% |                                                      |
%   Inferences per sec: 381100
% |                                                      |
% --------------------------------------------------------
% Elapsed time: 123 secs
% CPU time: 121.15 secs
% 
%------------------------------------------------------------------------------