TSTP Solution File: LCL359-1 by CARINE---0.734

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CARINE---0.734
% Problem  : LCL359-1 : TPTP v5.0.0. Released v2.3.0.
% 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 01:01:12 EST 2010

% Result   : Unsatisfiable 0.42s
% Output   : Refutation 0.42s
% 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/SystemOnTPTP4543/LCL/LCL359-1+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 = 7] [nf = 0] [nu = 0] [ut = 4]
% Looking for a proof at depth = 2 ...
% 	t = 1 secs [nr = 2253] [nf = 0] [nu = 1294] [ut = 554]
% Looking for a proof at depth = 3 ...
% 	t = 1 secs [nr = 5888] [nf = 7] [nu = 3957] [ut = 554]
% Looking for a proof at depth = 4 ...
% +================================================+
% |                                                |
% | Congratulations!!! ........ A proof was found. |
% |                                                |
% +================================================+
% Base Clauses and Unit Clauses used in proof:
% ============================================
% Base Clauses:
% -------------
% B0: ~is_a_theorem_1(implies_2(implies_2(x_0(),y_0()),implies_2(implies_2(z_0(),x_0()),implies_2(implies_2(y_0(),u_0()),implies_2(z_0(),u_0())))))
% B1: is_a_theorem_1(implies_2(implies_2(x0,x1),implies_2(implies_2(x1,x2),implies_2(x0,x2))))
% B2: is_a_theorem_1(implies_2(x0,implies_2(not_1(x0),x1)))
% B4: ~is_a_theorem_1(x0) | ~is_a_theorem_1(implies_2(x0,x1)) | is_a_theorem_1(x1)
% Unit Clauses:
% --------------
% U1: < d0 v6 dv3 f5 c0 t11 td4 b > is_a_theorem_1(implies_2(implies_2(x0,x1),implies_2(implies_2(x1,x2),implies_2(x0,x2))))
% U3: < d0 v3 dv1 f3 c0 t6 td4 b > is_a_theorem_1(implies_2(implies_2(not_1(x0),x0),x0))
% U8: < d2 v8 dv4 f7 c0 t15 td5 > is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(x0,x1),implies_2(x2,x1)),x3),implies_2(implies_2(x2,x0),x3)))
% U10: < d2 v8 dv4 f7 c0 t15 td5 > is_a_theorem_1(implies_2(implies_2(x0,x1),implies_2(implies_2(implies_2(x0,x2),x3),implies_2(implies_2(x1,x2),x3))))
% U11: < d2 v10 dv5 f9 c0 t19 td6 > is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(x0,x1),x2),x3),implies_2(implies_2(implies_2(implies_2(x1,x4),implies_2(x0,x4)),x2),x3)))
% U12: < d2 v10 dv5 f9 c0 t19 td5 > is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(x0,x1),implies_2(x2,x1)),x3),implies_2(implies_2(x3,x4),implies_2(implies_2(x2,x0),x4))))
% U13: < d2 v10 dv5 f9 c0 t19 td6 > is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(implies_2(x0,x1),x2),implies_2(implies_2(x3,x1),x2)),x4),implies_2(implies_2(x0,x3),x4)))
% U14: < d2 v10 dv5 f9 c0 t19 td6 > is_a_theorem_1(implies_2(implies_2(x0,x1),implies_2(implies_2(implies_2(implies_2(x1,x2),x3),x4),implies_2(implies_2(implies_2(x0,x2),x3),x4))))
% U15: < d2 v12 dv6 f11 c0 t23 td7 > is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(implies_2(implies_2(x0,x1),implies_2(x2,x1)),x3),x4),x5),implies_2(implies_2(implies_2(implies_2(x2,x0),x3),x4),x5)))
% U16: < d2 v12 dv6 f11 c0 t23 td7 > is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(x0,x1),x2),x3),implies_2(implies_2(x3,x4),implies_2(implies_2(implies_2(implies_2(x1,x5),implies_2(x0,x5)),x2),x4))))
% U17: < d2 v12 dv6 f11 c0 t23 td6 > is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(x0,x1),implies_2(implies_2(x2,x3),x1)),x4),implies_2(implies_2(implies_2(implies_2(x3,x5),implies_2(x2,x5)),x0),x4)))
% U18: < d2 v12 dv6 f11 c0 t23 td6 > is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(x0,x1),implies_2(x2,x1)),x3),implies_2(implies_2(implies_2(implies_2(x2,x0),x4),x5),implies_2(implies_2(x3,x4),x5))))
% U19: < d2 v12 dv6 f11 c0 t23 td7 > is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(x0,x1),x2),x3),implies_2(implies_2(implies_2(implies_2(implies_2(x0,x4),x5),implies_2(implies_2(x1,x4),x5)),x2),x3)))
% U133: < d2 v11 dv6 f11 c0 t22 td6 > is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(implies_2(x0,x1),x2),implies_2(implies_2(x3,x1),x2)),x4),implies_2(not_1(implies_2(implies_2(x0,x3),x4)),x5)))
% U610: < d4 v8 dv4 f24 c16 t48 td8 > ~is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(implies_2(x0,x1),implies_2(x2,x1)),x3),implies_2(implies_2(x2,x0),x3)),implies_2(not_1(implies_2(implies_2(x_0(),y_0()),implies_2(implies_2(z_0(),x_0()),implies_2(implies_2(y_0(),u_0()),implies_2(z_0(),u_0()))))),implies_2(implies_2(x_0(),y_0()),implies_2(implies_2(z_0(),x_0()),implies_2(implies_2(y_0(),u_0()),implies_2(z_0(),u_0())))))))
% --------------- Start of Proof ---------------
% Derivation of unit clause U1:
% is_a_theorem_1(implies_2(implies_2(x0,x1),implies_2(implies_2(x1,x2),implies_2(x0,x2)))) ....... U1
% Derivation of unit clause U3:
% is_a_theorem_1(implies_2(implies_2(not_1(x0),x0),x0)) ....... U3
% Derivation of unit clause U8:
% is_a_theorem_1(implies_2(implies_2(x0,x1),implies_2(implies_2(x1,x2),implies_2(x0,x2)))) ....... B1
% ~is_a_theorem_1(x0) | ~is_a_theorem_1(implies_2(x0,x1)) | is_a_theorem_1(x1) ....... B4
%  ~is_a_theorem_1(implies_2(implies_2(implies_2(x0, x1), implies_2(implies_2(x1, x2), implies_2(x0, x2))), x3)) | is_a_theorem_1(x3) ....... R1 [B1:L0, B4:L0]
%  is_a_theorem_1(implies_2(implies_2(x0,x1),implies_2(implies_2(x1,x2),implies_2(x0,x2)))) ....... U1
%   is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(x0, x1), implies_2(x2, x1)), x3), implies_2(implies_2(x2, x0), x3))) ....... R2 [R1:L0, U1:L0]
% Derivation of unit clause U10:
% is_a_theorem_1(implies_2(implies_2(x0,x1),implies_2(implies_2(x1,x2),implies_2(x0,x2)))) ....... B1
% ~is_a_theorem_1(x0) | ~is_a_theorem_1(implies_2(x0,x1)) | is_a_theorem_1(x1) ....... B4
%  ~is_a_theorem_1(implies_2(implies_2(implies_2(x0, x1), implies_2(implies_2(x1, x2), implies_2(x0, x2))), x3)) | is_a_theorem_1(x3) ....... R1 [B1:L0, B4:L0]
%  is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(x0,x1),implies_2(x2,x1)),x3),implies_2(implies_2(x2,x0),x3))) ....... U8
%   is_a_theorem_1(implies_2(implies_2(x0, x1), implies_2(implies_2(implies_2(x0, x2), x3), implies_2(implies_2(x1, x2), x3)))) ....... R2 [R1:L0, U8:L0]
% Derivation of unit clause U11:
% is_a_theorem_1(implies_2(implies_2(x0,x1),implies_2(implies_2(x1,x2),implies_2(x0,x2)))) ....... B1
% ~is_a_theorem_1(x0) | ~is_a_theorem_1(implies_2(x0,x1)) | is_a_theorem_1(x1) ....... B4
%  ~is_a_theorem_1(implies_2(implies_2(implies_2(x0, x1), implies_2(implies_2(x1, x2), implies_2(x0, x2))), x3)) | is_a_theorem_1(x3) ....... R1 [B1:L0, B4:L0]
%  is_a_theorem_1(implies_2(implies_2(x0,x1),implies_2(implies_2(implies_2(x0,x2),x3),implies_2(implies_2(x1,x2),x3)))) ....... U10
%   is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(x0, x1), x2), x3), implies_2(implies_2(implies_2(implies_2(x1, x4), implies_2(x0, x4)), x2), x3))) ....... R2 [R1:L0, U10:L0]
% Derivation of unit clause U12:
% is_a_theorem_1(implies_2(implies_2(x0,x1),implies_2(implies_2(x1,x2),implies_2(x0,x2)))) ....... B1
% ~is_a_theorem_1(x0) | ~is_a_theorem_1(implies_2(x0,x1)) | is_a_theorem_1(x1) ....... B4
%  ~is_a_theorem_1(implies_2(implies_2(implies_2(x0, x1), implies_2(implies_2(x1, x2), implies_2(x0, x2))), x3)) | is_a_theorem_1(x3) ....... R1 [B1:L0, B4:L0]
%  is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(x0,x1),x2),x3),implies_2(implies_2(implies_2(implies_2(x1,x4),implies_2(x0,x4)),x2),x3))) ....... U11
%   is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(x0, x1), implies_2(x2, x1)), x3), implies_2(implies_2(x3, x4), implies_2(implies_2(x2, x0), x4)))) ....... R2 [R1:L0, U11:L0]
% Derivation of unit clause U13:
% is_a_theorem_1(implies_2(implies_2(x0,x1),implies_2(implies_2(x1,x2),implies_2(x0,x2)))) ....... B1
% ~is_a_theorem_1(x0) | ~is_a_theorem_1(implies_2(x0,x1)) | is_a_theorem_1(x1) ....... B4
%  ~is_a_theorem_1(implies_2(implies_2(implies_2(x0, x1), implies_2(implies_2(x1, x2), implies_2(x0, x2))), x3)) | is_a_theorem_1(x3) ....... R1 [B1:L0, B4:L0]
%  is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(x0,x1),implies_2(x2,x1)),x3),implies_2(implies_2(x3,x4),implies_2(implies_2(x2,x0),x4)))) ....... U12
%   is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(implies_2(x0, x1), x2), implies_2(implies_2(x3, x1), x2)), x4), implies_2(implies_2(x0, x3), x4))) ....... R2 [R1:L0, U12:L0]
% Derivation of unit clause U14:
% is_a_theorem_1(implies_2(implies_2(x0,x1),implies_2(implies_2(x1,x2),implies_2(x0,x2)))) ....... B1
% ~is_a_theorem_1(x0) | ~is_a_theorem_1(implies_2(x0,x1)) | is_a_theorem_1(x1) ....... B4
%  ~is_a_theorem_1(implies_2(implies_2(implies_2(x0, x1), implies_2(implies_2(x1, x2), implies_2(x0, x2))), x3)) | is_a_theorem_1(x3) ....... R1 [B1:L0, B4:L0]
%  is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(implies_2(x0,x1),x2),implies_2(implies_2(x3,x1),x2)),x4),implies_2(implies_2(x0,x3),x4))) ....... U13
%   is_a_theorem_1(implies_2(implies_2(x0, x1), implies_2(implies_2(implies_2(implies_2(x1, x2), x3), x4), implies_2(implies_2(implies_2(x0, x2), x3), x4)))) ....... R2 [R1:L0, U13:L0]
% Derivation of unit clause U15:
% is_a_theorem_1(implies_2(implies_2(x0,x1),implies_2(implies_2(x1,x2),implies_2(x0,x2)))) ....... B1
% ~is_a_theorem_1(x0) | ~is_a_theorem_1(implies_2(x0,x1)) | is_a_theorem_1(x1) ....... B4
%  ~is_a_theorem_1(implies_2(implies_2(implies_2(x0, x1), implies_2(implies_2(x1, x2), implies_2(x0, x2))), x3)) | is_a_theorem_1(x3) ....... R1 [B1:L0, B4:L0]
%  is_a_theorem_1(implies_2(implies_2(x0,x1),implies_2(implies_2(implies_2(implies_2(x1,x2),x3),x4),implies_2(implies_2(implies_2(x0,x2),x3),x4)))) ....... U14
%   is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(implies_2(implies_2(x0, x1), implies_2(x2, x1)), x3), x4), x5), implies_2(implies_2(implies_2(implies_2(x2, x0), x3), x4), x5))) ....... R2 [R1:L0, U14:L0]
% Derivation of unit clause U16:
% is_a_theorem_1(implies_2(implies_2(x0,x1),implies_2(implies_2(x1,x2),implies_2(x0,x2)))) ....... B1
% ~is_a_theorem_1(x0) | ~is_a_theorem_1(implies_2(x0,x1)) | is_a_theorem_1(x1) ....... B4
%  ~is_a_theorem_1(implies_2(implies_2(implies_2(x0, x1), implies_2(implies_2(x1, x2), implies_2(x0, x2))), x3)) | is_a_theorem_1(x3) ....... R1 [B1:L0, B4:L0]
%  is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(implies_2(implies_2(x0,x1),implies_2(x2,x1)),x3),x4),x5),implies_2(implies_2(implies_2(implies_2(x2,x0),x3),x4),x5))) ....... U15
%   is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(x0, x1), x2), x3), implies_2(implies_2(x3, x4), implies_2(implies_2(implies_2(implies_2(x1, x5), implies_2(x0, x5)), x2), x4)))) ....... R2 [R1:L0, U15:L0]
% Derivation of unit clause U17:
% is_a_theorem_1(implies_2(implies_2(x0,x1),implies_2(implies_2(x1,x2),implies_2(x0,x2)))) ....... B1
% ~is_a_theorem_1(x0) | ~is_a_theorem_1(implies_2(x0,x1)) | is_a_theorem_1(x1) ....... B4
%  ~is_a_theorem_1(implies_2(implies_2(implies_2(x0, x1), implies_2(implies_2(x1, x2), implies_2(x0, x2))), x3)) | is_a_theorem_1(x3) ....... R1 [B1:L0, B4:L0]
%  is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(x0,x1),x2),x3),implies_2(implies_2(x3,x4),implies_2(implies_2(implies_2(implies_2(x1,x5),implies_2(x0,x5)),x2),x4)))) ....... U16
%   is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(x0, x1), implies_2(implies_2(x2, x3), x1)), x4), implies_2(implies_2(implies_2(implies_2(x3, x5), implies_2(x2, x5)), x0), x4))) ....... R2 [R1:L0, U16:L0]
% Derivation of unit clause U18:
% is_a_theorem_1(implies_2(implies_2(x0,x1),implies_2(implies_2(x1,x2),implies_2(x0,x2)))) ....... B1
% ~is_a_theorem_1(x0) | ~is_a_theorem_1(implies_2(x0,x1)) | is_a_theorem_1(x1) ....... B4
%  ~is_a_theorem_1(implies_2(implies_2(implies_2(x0, x1), implies_2(implies_2(x1, x2), implies_2(x0, x2))), x3)) | is_a_theorem_1(x3) ....... R1 [B1:L0, B4:L0]
%  is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(x0,x1),implies_2(implies_2(x2,x3),x1)),x4),implies_2(implies_2(implies_2(implies_2(x3,x5),implies_2(x2,x5)),x0),x4))) ....... U17
%   is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(x0, x1), implies_2(x2, x1)), x3), implies_2(implies_2(implies_2(implies_2(x2, x0), x4), x5), implies_2(implies_2(x3, x4), x5)))) ....... R2 [R1:L0, U17:L0]
% Derivation of unit clause U19:
% is_a_theorem_1(implies_2(implies_2(x0,x1),implies_2(implies_2(x1,x2),implies_2(x0,x2)))) ....... B1
% ~is_a_theorem_1(x0) | ~is_a_theorem_1(implies_2(x0,x1)) | is_a_theorem_1(x1) ....... B4
%  ~is_a_theorem_1(implies_2(implies_2(implies_2(x0, x1), implies_2(implies_2(x1, x2), implies_2(x0, x2))), x3)) | is_a_theorem_1(x3) ....... R1 [B1:L0, B4:L0]
%  is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(x0,x1),implies_2(x2,x1)),x3),implies_2(implies_2(implies_2(implies_2(x2,x0),x4),x5),implies_2(implies_2(x3,x4),x5)))) ....... U18
%   is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(x0, x1), x2), x3), implies_2(implies_2(implies_2(implies_2(implies_2(x0, x4), x5), implies_2(implies_2(x1, x4), x5)), x2), x3))) ....... R2 [R1:L0, U18:L0]
% Derivation of unit clause U133:
% is_a_theorem_1(implies_2(x0,implies_2(not_1(x0),x1))) ....... B2
% ~is_a_theorem_1(x0) | ~is_a_theorem_1(implies_2(x0,x1)) | is_a_theorem_1(x1) ....... B4
%  ~is_a_theorem_1(implies_2(implies_2(x0, implies_2(not_1(x0), x1)), x2)) | is_a_theorem_1(x2) ....... R1 [B2:L0, B4:L0]
%  is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(x0,x1),x2),x3),implies_2(implies_2(implies_2(implies_2(implies_2(x0,x4),x5),implies_2(implies_2(x1,x4),x5)),x2),x3))) ....... U19
%   is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(implies_2(x0, x1), x2), implies_2(implies_2(x3, x1), x2)), x4), implies_2(not_1(implies_2(implies_2(x0, x3), x4)), x5))) ....... R2 [R1:L0, U19:L0]
% Derivation of unit clause U610:
% ~is_a_theorem_1(implies_2(implies_2(x_0(),y_0()),implies_2(implies_2(z_0(),x_0()),implies_2(implies_2(y_0(),u_0()),implies_2(z_0(),u_0()))))) ....... B0
% ~is_a_theorem_1(x0) | ~is_a_theorem_1(implies_2(x0,x1)) | is_a_theorem_1(x1) ....... B4
%  ~is_a_theorem_1(x0) | ~is_a_theorem_1(implies_2(x0, implies_2(implies_2(x_0(), y_0()), implies_2(implies_2(z_0(), x_0()), implies_2(implies_2(y_0(), u_0()), implies_2(z_0(), u_0())))))) ....... R1 [B0:L0, B4:L2]
%  ~is_a_theorem_1(x0) | ~is_a_theorem_1(implies_2(x0,x1)) | is_a_theorem_1(x1) ....... B4
%   ~is_a_theorem_1(implies_2(x0, implies_2(implies_2(x_0(), y_0()), implies_2(implies_2(z_0(), x_0()), implies_2(implies_2(y_0(), u_0()), implies_2(z_0(), u_0())))))) | ~is_a_theorem_1(x1) | ~is_a_theorem_1(implies_2(x1, x0)) ....... R2 [R1:L0, B4:L2]
%   is_a_theorem_1(implies_2(implies_2(not_1(x0),x0),x0)) ....... U3
%    ~is_a_theorem_1(x0) | ~is_a_theorem_1(implies_2(x0, implies_2(not_1(implies_2(implies_2(x_0(), y_0()), implies_2(implies_2(z_0(), x_0()), implies_2(implies_2(y_0(), u_0()), implies_2(z_0(), u_0()))))), implies_2(implies_2(x_0(), y_0()), implies_2(implies_2(z_0(), x_0()), implies_2(implies_2(y_0(), u_0()), implies_2(z_0(), u_0()))))))) ....... R3 [R2:L0, U3:L0]
%    is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(x0,x1),implies_2(x2,x1)),x3),implies_2(implies_2(x2,x0),x3))) ....... U8
%     ~is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(implies_2(x0, x1), implies_2(x2, x1)), x3), implies_2(implies_2(x2, x0), x3)), implies_2(not_1(implies_2(implies_2(x_0(), y_0()), implies_2(implies_2(z_0(), x_0()), implies_2(implies_2(y_0(), u_0()), implies_2(z_0(), u_0()))))), implies_2(implies_2(x_0(), y_0()), implies_2(implies_2(z_0(), x_0()), implies_2(implies_2(y_0(), u_0()), implies_2(z_0(), u_0()))))))) ....... R4 [R3:L0, U8:L0]
% Derivation of the empty clause:
% ~is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(implies_2(x0,x1),implies_2(x2,x1)),x3),implies_2(implies_2(x2,x0),x3)),implies_2(not_1(implies_2(implies_2(x_0(),y_0()),implies_2(implies_2(z_0(),x_0()),implies_2(implies_2(y_0(),u_0()),implies_2(z_0(),u_0()))))),implies_2(implies_2(x_0(),y_0()),implies_2(implies_2(z_0(),x_0()),implies_2(implies_2(y_0(),u_0()),implies_2(z_0(),u_0()))))))) ....... U610
% is_a_theorem_1(implies_2(implies_2(implies_2(implies_2(implies_2(x0,x1),x2),implies_2(implies_2(x3,x1),x2)),x4),implies_2(not_1(implies_2(implies_2(x0,x3),x4)),x5))) ....... U133
%  [] ....... R1 [U610:L0, U133:L0]
% --------------- End of Proof ---------------
% PROOF FOUND!
% ---------------------------------------------
% |                Statistics                 |
% ---------------------------------------------
% Profile 3: Performance Statistics:
% ==================================
% Total number of generated clauses: 6730
% 	resolvents: 6721	factors: 9
% Number of unit clauses generated: 4787
% % unit clauses generated to total clauses generated: 71.13
% Number of unit clauses constructed and retained at depth [x]:
% =============================================================
% [0] = 4		[2] = 550	[4] = 57	
% Total = 611
% Number of generated clauses having [x] literals:
% ------------------------------------------------
% [1] = 4787	[2] = 1922	[3] = 21	
% Average size of a generated clause: 2.0
% Number of unit clauses per predicate list:
% ==========================================
% [0] is_a_theorem_1	(+)391	(-)220
% 			------------------
% 		Total:	(+)391	(-)220
% Total number of unit clauses retained: 611
% Number of clauses skipped because of their length: 29
% N base clauses skippped in resolve-with-all-base-clauses
% 	because of the shortest resolvents table: 0
% Number of successful unifications: 6758
% Number of unification failures: 3735
% Number of unit to unit unification failures: 85744
% N literal unification failure due to lookup root_id table: 43
% N base clause resolution failure due to lookup table: 0
% 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: 911
% N unit clauses dropped because too much nesting: 376
% 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: 63
% Max term depth in a unit clause: 11
% Number of states in UCFA table: 10585
% Total number of terms of all unit clauses in table: 21452
% Max allowed number of states in UCFA: 528000
% Ratio n states used/total allowed states: 0.02
% Ratio n states used/total unit clauses terms: 0.49
% Number of symbols (columns) in UCFA: 41
% Profile 2: Number of calls to:
% ==============================
% PTUnify() = 10493
% ConstructUnitClause() = 1518
% Profile 1: Time spent in:
% =========================
% ConstructUnitClause() : 0.00 secs
% --------------------------------------------------------
% |                                                      |
%   Inferences per sec: inf
% |                                                      |
% --------------------------------------------------------
% Elapsed time: 1 secs
% CPU time: 0.40 secs
% 
%------------------------------------------------------------------------------