%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MSC007-2.005 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 08:03:58 AM UTC 2026
% Result : Unsatisfiable 29.20s 4.79s
% Output : CNFRefutation 29.30s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
cnf(pigeon_1,axiom,
pigeon('pigeon$u1') ).
cnf(pigeon_2,axiom,
pigeon('pigeon$u2') ).
cnf(pigeon_3,axiom,
pigeon('pigeon$u3') ).
cnf(pigeon_4,axiom,
pigeon('pigeon$u4') ).
cnf(pigeon_5,axiom,
pigeon('pigeon$u5') ).
cnf(pigeon_1_is_not_pigeon_2,axiom,
'pigeon$u1' != 'pigeon$u2' ).
cnf(pigeon_1_is_not_pigeon_3,axiom,
'pigeon$u1' != 'pigeon$u3' ).
cnf(pigeon_1_is_not_pigeon_4,axiom,
'pigeon$u1' != 'pigeon$u4' ).
cnf(pigeon_1_is_not_pigeon_5,axiom,
'pigeon$u1' != 'pigeon$u5' ).
cnf(pigeon_2_is_not_pigeon_3,axiom,
'pigeon$u2' != 'pigeon$u3' ).
cnf(pigeon_2_is_not_pigeon_4,axiom,
'pigeon$u2' != 'pigeon$u4' ).
cnf(pigeon_2_is_not_pigeon_5,axiom,
'pigeon$u2' != 'pigeon$u5' ).
cnf(pigeon_3_is_not_pigeon_4,axiom,
'pigeon$u3' != 'pigeon$u4' ).
cnf(pigeon_3_is_not_pigeon_5,axiom,
'pigeon$u3' != 'pigeon$u5' ).
cnf(pigeon_4_is_not_pigeon_5,axiom,
'pigeon$u4' != 'pigeon$u5' ).
cnf(hole_1,axiom,
hole('hole$u1') ).
cnf(hole_2,axiom,
hole('hole$u2') ).
cnf(hole_3,axiom,
hole('hole$u3') ).
cnf(hole_4,axiom,
hole('hole$u4') ).
cnf(all_holes,axiom,
( X0 = 'hole$u4'
| X0 = 'hole$u3'
| X0 = 'hole$u2'
| X0 = 'hole$u1'
| ~ hole(X0) ) ).
cnf(each_pigeons_hole1,axiom,
( hole('hole$uof'(X0))
| ~ pigeon(X0) ) ).
cnf(each_pigeons_hole2,axiom,
( in(X0,'hole$uof'(X0))
| ~ pigeon(X0) ) ).
cnf(only_one_per_hole,negated_conjecture,
( X1 = X2
| ~ in(X2,X0)
| ~ in(X1,X0)
| ~ pigeon(X2)
| ~ pigeon(X1)
| ~ hole(X0) ) ).
cnf(c3,plain,
pigeon('pigeon$u1'),
inference(clausification,[status(esa)],[pigeon_1]) ).
cnf(c4,plain,
pigeon('pigeon$u2'),
inference(clausification,[status(esa)],[pigeon_2]) ).
cnf(c5,plain,
pigeon('pigeon$u3'),
inference(clausification,[status(esa)],[pigeon_3]) ).
cnf(c6,plain,
pigeon('pigeon$u4'),
inference(clausification,[status(esa)],[pigeon_4]) ).
cnf(c7,plain,
pigeon('pigeon$u5'),
inference(clausification,[status(esa)],[pigeon_5]) ).
cnf(c8,plain,
'pigeon$u1' != 'pigeon$u2',
inference(clausification,[status(esa)],[pigeon_1_is_not_pigeon_2]) ).
cnf(c9,plain,
'pigeon$u1' != 'pigeon$u3',
inference(clausification,[status(esa)],[pigeon_1_is_not_pigeon_3]) ).
cnf(c10,plain,
'pigeon$u1' != 'pigeon$u4',
inference(clausification,[status(esa)],[pigeon_1_is_not_pigeon_4]) ).
cnf(c11,plain,
'pigeon$u1' != 'pigeon$u5',
inference(clausification,[status(esa)],[pigeon_1_is_not_pigeon_5]) ).
cnf(c12,plain,
'pigeon$u2' != 'pigeon$u3',
inference(clausification,[status(esa)],[pigeon_2_is_not_pigeon_3]) ).
cnf(c13,plain,
'pigeon$u2' != 'pigeon$u4',
inference(clausification,[status(esa)],[pigeon_2_is_not_pigeon_4]) ).
cnf(c14,plain,
'pigeon$u2' != 'pigeon$u5',
inference(clausification,[status(esa)],[pigeon_2_is_not_pigeon_5]) ).
cnf(c15,plain,
'pigeon$u3' != 'pigeon$u4',
inference(clausification,[status(esa)],[pigeon_3_is_not_pigeon_4]) ).
cnf(c16,plain,
'pigeon$u3' != 'pigeon$u5',
inference(clausification,[status(esa)],[pigeon_3_is_not_pigeon_5]) ).
cnf(c17,plain,
'pigeon$u4' != 'pigeon$u5',
inference(clausification,[status(esa)],[pigeon_4_is_not_pigeon_5]) ).
cnf(c18,plain,
hole('hole$u1'),
inference(clausification,[status(esa)],[hole_1]) ).
cnf(c19,plain,
hole('hole$u2'),
inference(clausification,[status(esa)],[hole_2]) ).
cnf(c20,plain,
hole('hole$u3'),
inference(clausification,[status(esa)],[hole_3]) ).
cnf(c21,plain,
hole('hole$u4'),
inference(clausification,[status(esa)],[hole_4]) ).
cnf(c28,plain,
( ~ hole(X0)
| X0 = 'hole$u2'
| X0 = 'hole$u4'
| X0 = 'hole$u1'
| X0 = 'hole$u3' ),
inference(clausification,[status(esa)],[all_holes]) ).
cnf(c29,plain,
( hole('hole$uof'(X0))
| ~ pigeon(X0) ),
inference(clausification,[status(esa)],[each_pigeons_hole1]) ).
cnf(c30,plain,
( in(X0,'hole$uof'(X0))
| ~ pigeon(X0) ),
inference(clausification,[status(esa)],[each_pigeons_hole2]) ).
cnf(c31,plain,
( ~ hole(X2)
| ~ pigeon(X0)
| ~ pigeon(X1)
| ~ in(X1,X2)
| ~ in(X0,X2)
| X0 = X1 ),
inference(clausification,[status(esa)],[only_one_per_hole]) ).
cnf(d0,plain,
( ~ pigeon(X0)
| ~ in(X1,'hole$uof'(X0))
| ~ hole('hole$uof'(X0))
| ~ pigeon(X0)
| ~ pigeon(X1)
| X0 = X1 ),
inference(resolution,[status(thm)],[c31,c30]) ).
cnf(d1,plain,
( 'hole$uof'(X0) = 'hole$u4'
| 'hole$uof'(X0) = 'hole$u3'
| 'hole$uof'(X0) = 'hole$u2'
| 'hole$uof'(X0) = 'hole$u1'
| ~ pigeon(X0) ),
inference(resolution,[status(thm)],[c29,c28]) ).
cnf(d2,plain,
( 'hole$uof'('pigeon$u1') = 'hole$u4'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d1,c3]) ).
cnf(d3,plain,
( 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ hole('hole$uof'('pigeon$u1'))
| ~ pigeon('pigeon$u1')
| ~ pigeon(X0)
| 'pigeon$u1' = X0
| ~ in(X0,'hole$u4') ),
inference(superposition,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
( ~ in(X0,'hole$u4')
| ~ hole('hole$uof'('pigeon$u1'))
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = X0 ),
inference(resolution,[status(thm)],[c3,d3]) ).
cnf(d5,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u4'
| 'hole$uof'('pigeon$u5') = 'hole$u3'
| 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1' ),
inference(resolution,[status(thm)],[d1,c7]) ).
cnf(d6,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u3'
| 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| in('pigeon$u5','hole$u4') ),
inference(superposition,[status(thm)],[d5,c30]) ).
cnf(d7,plain,
( in('pigeon$u5','hole$u4')
| 'hole$uof'('pigeon$u5') = 'hole$u3'
| 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1' ),
inference(resolution,[status(thm)],[c7,d6]) ).
cnf(d8,plain,
( ~ hole('hole$uof'('pigeon$u1'))
| ~ pigeon('pigeon$u5')
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u5'
| 'hole$uof'('pigeon$u5') = 'hole$u3'
| 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1' ),
inference(resolution,[status(thm)],[d7,d4]) ).
cnf(d9,plain,
( ~ hole('hole$uof'('pigeon$u1'))
| 'hole$uof'('pigeon$u5') = 'hole$u3'
| 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d8]) ).
cnf(d10,plain,
( ~ hole('hole$uof'('pigeon$u1'))
| 'hole$uof'('pigeon$u5') = 'hole$u3'
| 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c11,d9]) ).
cnf(d11,plain,
( ~ pigeon('pigeon$u1')
| 'hole$uof'('pigeon$u5') = 'hole$u3'
| 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d10,c29]) ).
cnf(d12,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u3'
| 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c3,d11]) ).
cnf(d13,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| in('pigeon$u5','hole$u3') ),
inference(superposition,[status(thm)],[d12,c30]) ).
cnf(d14,plain,
( in('pigeon$u5','hole$u3')
| 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c7,d13]) ).
cnf(d15,plain,
( 'hole$uof'('pigeon$u2') = 'hole$u4'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[d1,c4]) ).
cnf(d16,plain,
( 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| ~ pigeon('pigeon$u2')
| in('pigeon$u2','hole$u4') ),
inference(superposition,[status(thm)],[d15,c30]) ).
cnf(d17,plain,
( in('pigeon$u2','hole$u4')
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[c4,d16]) ).
cnf(d18,plain,
( 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u1')
| in('pigeon$u1','hole$u4') ),
inference(superposition,[status(thm)],[d2,c30]) ).
cnf(d19,plain,
( in('pigeon$u1','hole$u4')
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c3,d18]) ).
cnf(d20,plain,
( ~ in(X0,'hole$u4')
| ~ hole('hole$u4')
| ~ pigeon('pigeon$u1')
| ~ pigeon(X0)
| 'pigeon$u1' = X0
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d19,c31]) ).
cnf(d21,plain,
( ~ in(X0,'hole$u4')
| ~ hole('hole$u4')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = X0 ),
inference(resolution,[status(thm)],[c3,d20]) ).
cnf(d22,plain,
( ~ in(X0,'hole$u4')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = X0 ),
inference(resolution,[status(thm)],[c21,d21]) ).
cnf(d23,plain,
( 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| ~ pigeon('pigeon$u2')
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u2' ),
inference(resolution,[status(thm)],[d22,d17]) ).
cnf(d24,plain,
( 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u2' ),
inference(resolution,[status(thm)],[c4,d23]) ).
cnf(d25,plain,
( 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c8,d24]) ).
cnf(d26,plain,
( 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u2')
| in('pigeon$u2','hole$u3') ),
inference(superposition,[status(thm)],[d25,c30]) ).
cnf(d27,plain,
( in('pigeon$u2','hole$u3')
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c4,d26]) ).
cnf(d28,plain,
( ~ in(X0,'hole$u3')
| ~ hole('hole$u3')
| ~ pigeon('pigeon$u2')
| ~ pigeon(X0)
| 'pigeon$u2' = X0
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d27,c31]) ).
cnf(d29,plain,
( ~ in(X0,'hole$u3')
| ~ hole('hole$u3')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = X0 ),
inference(resolution,[status(thm)],[c4,d28]) ).
cnf(d30,plain,
( ~ in(X0,'hole$u3')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = X0 ),
inference(resolution,[status(thm)],[c20,d29]) ).
cnf(d31,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[d30,d14]) ).
cnf(d32,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d31]) ).
cnf(d33,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c14,d32]) ).
cnf(d34,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| in('pigeon$u5','hole$u2') ),
inference(superposition,[status(thm)],[d33,c30]) ).
cnf(d35,plain,
( in('pigeon$u5','hole$u2')
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c7,d34]) ).
cnf(d36,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u4'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1' ),
inference(resolution,[status(thm)],[d1,c5]) ).
cnf(d37,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| ~ pigeon('pigeon$u3')
| in('pigeon$u3','hole$u4') ),
inference(superposition,[status(thm)],[d36,c30]) ).
cnf(d38,plain,
( in('pigeon$u3','hole$u4')
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1' ),
inference(resolution,[status(thm)],[c5,d37]) ).
cnf(d39,plain,
( ~ hole('hole$uof'('pigeon$u1'))
| ~ pigeon('pigeon$u3')
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1' ),
inference(resolution,[status(thm)],[d38,d4]) ).
cnf(d40,plain,
( ~ hole('hole$uof'('pigeon$u1'))
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u3' ),
inference(resolution,[status(thm)],[c5,d39]) ).
cnf(d41,plain,
( ~ hole('hole$uof'('pigeon$u1'))
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c9,d40]) ).
cnf(d42,plain,
( ~ pigeon('pigeon$u1')
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d41,c29]) ).
cnf(d43,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c3,d42]) ).
cnf(d44,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u3')
| in('pigeon$u3','hole$u3') ),
inference(superposition,[status(thm)],[d43,c30]) ).
cnf(d45,plain,
( in('pigeon$u3','hole$u3')
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c5,d44]) ).
cnf(d46,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u3')
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u3' ),
inference(resolution,[status(thm)],[d30,d45]) ).
cnf(d47,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u3' ),
inference(resolution,[status(thm)],[c5,d46]) ).
cnf(d48,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c12,d47]) ).
cnf(d49,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u3')
| in('pigeon$u3','hole$u2') ),
inference(superposition,[status(thm)],[d48,c30]) ).
cnf(d50,plain,
( in('pigeon$u3','hole$u2')
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c5,d49]) ).
cnf(d51,plain,
( ~ in(X0,'hole$u2')
| ~ hole('hole$u2')
| ~ pigeon('pigeon$u3')
| ~ pigeon(X0)
| 'pigeon$u3' = X0
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d50,c31]) ).
cnf(d52,plain,
( ~ in(X0,'hole$u2')
| ~ hole('hole$u2')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = X0 ),
inference(resolution,[status(thm)],[c5,d51]) ).
cnf(d53,plain,
( ~ in(X0,'hole$u2')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = X0 ),
inference(resolution,[status(thm)],[c19,d52]) ).
cnf(d54,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[d53,d35]) ).
cnf(d55,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d54]) ).
cnf(d56,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c16,d55]) ).
cnf(d57,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| in('pigeon$u5','hole$u1') ),
inference(superposition,[status(thm)],[d56,c30]) ).
cnf(d58,plain,
( in('pigeon$u5','hole$u1')
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c7,d57]) ).
cnf(d59,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u4'
| 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1' ),
inference(resolution,[status(thm)],[d1,c6]) ).
cnf(d60,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| ~ pigeon('pigeon$u4')
| in('pigeon$u4','hole$u4') ),
inference(superposition,[status(thm)],[d59,c30]) ).
cnf(d61,plain,
( in('pigeon$u4','hole$u4')
| 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1' ),
inference(resolution,[status(thm)],[c6,d60]) ).
cnf(d62,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| ~ pigeon('pigeon$u4')
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[d22,d61]) ).
cnf(d63,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[c6,d62]) ).
cnf(d64,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c10,d63]) ).
cnf(d65,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u4')
| in('pigeon$u4','hole$u3') ),
inference(superposition,[status(thm)],[d64,c30]) ).
cnf(d66,plain,
( in('pigeon$u4','hole$u3')
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c6,d65]) ).
cnf(d67,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u4')
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[d30,d66]) ).
cnf(d68,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[c6,d67]) ).
cnf(d69,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c13,d68]) ).
cnf(d70,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u4')
| in('pigeon$u4','hole$u2') ),
inference(superposition,[status(thm)],[d69,c30]) ).
cnf(d71,plain,
( in('pigeon$u4','hole$u2')
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c6,d70]) ).
cnf(d72,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u4')
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[d53,d71]) ).
cnf(d73,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[c6,d72]) ).
cnf(d74,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c15,d73]) ).
cnf(d75,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u4')
| in('pigeon$u4','hole$u1') ),
inference(superposition,[status(thm)],[d74,c30]) ).
cnf(d76,plain,
( in('pigeon$u4','hole$u1')
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c6,d75]) ).
cnf(d77,plain,
( ~ in(X0,'hole$u1')
| ~ hole('hole$u1')
| ~ pigeon('pigeon$u4')
| ~ pigeon(X0)
| 'pigeon$u4' = X0
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d76,c31]) ).
cnf(d78,plain,
( ~ in(X0,'hole$u1')
| ~ hole('hole$u1')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u4' = X0 ),
inference(resolution,[status(thm)],[c6,d77]) ).
cnf(d79,plain,
( ~ in(X0,'hole$u1')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u4' = X0 ),
inference(resolution,[status(thm)],[c18,d78]) ).
cnf(d80,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u4' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[d79,d58]) ).
cnf(d81,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u4' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d80]) ).
cnf(d82,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c17,d81]) ).
cnf(d83,plain,
( 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u3')
| in('pigeon$u3','hole$u1') ),
inference(superposition,[status(thm)],[d82,c30]) ).
cnf(d84,plain,
( in('pigeon$u3','hole$u1')
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c5,d83]) ).
cnf(d85,plain,
( ~ in(X0,'hole$u1')
| ~ hole('hole$u1')
| ~ pigeon('pigeon$u3')
| ~ pigeon(X0)
| 'pigeon$u3' = X0
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d84,c31]) ).
cnf(d86,plain,
( ~ in(X0,'hole$u1')
| ~ hole('hole$u1')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = X0 ),
inference(resolution,[status(thm)],[c5,d85]) ).
cnf(d87,plain,
( ~ in(X0,'hole$u1')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = X0 ),
inference(resolution,[status(thm)],[c18,d86]) ).
cnf(d88,plain,
( ~ in(X0,'hole$u2')
| ~ hole('hole$u2')
| ~ pigeon('pigeon$u4')
| ~ pigeon(X0)
| 'pigeon$u4' = X0
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d71,c31]) ).
cnf(d89,plain,
( ~ in(X0,'hole$u2')
| ~ hole('hole$u2')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u4' = X0 ),
inference(resolution,[status(thm)],[c6,d88]) ).
cnf(d90,plain,
( ~ in(X0,'hole$u2')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u4' = X0 ),
inference(resolution,[status(thm)],[c19,d89]) ).
cnf(d91,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u4' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[d90,d35]) ).
cnf(d92,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u4' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d91]) ).
cnf(d93,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c17,d92]) ).
cnf(d94,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| in('pigeon$u5','hole$u1') ),
inference(superposition,[status(thm)],[d93,c30]) ).
cnf(d95,plain,
( in('pigeon$u5','hole$u1')
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c7,d94]) ).
cnf(d96,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[d87,d95]) ).
cnf(d97,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d96]) ).
cnf(d98,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c16,d97]) ).
cnf(d99,plain,
( 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u4')
| in('pigeon$u4','hole$u1') ),
inference(superposition,[status(thm)],[d98,c30]) ).
cnf(d100,plain,
( in('pigeon$u4','hole$u1')
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c6,d99]) ).
cnf(d101,plain,
( ~ pigeon('pigeon$u4')
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = 'pigeon$u4'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d100,d87]) ).
cnf(d102,plain,
( 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[c6,d101]) ).
cnf(d103,plain,
( 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c15,d102]) ).
cnf(d104,plain,
( 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u2')
| in('pigeon$u2','hole$u2') ),
inference(superposition,[status(thm)],[d103,c30]) ).
cnf(d105,plain,
( in('pigeon$u2','hole$u2')
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c4,d104]) ).
cnf(d106,plain,
( ~ in(X0,'hole$u2')
| ~ hole('hole$u2')
| ~ pigeon('pigeon$u2')
| ~ pigeon(X0)
| 'pigeon$u2' = X0
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d105,c31]) ).
cnf(d107,plain,
( ~ in(X0,'hole$u2')
| ~ hole('hole$u2')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = X0 ),
inference(resolution,[status(thm)],[c4,d106]) ).
cnf(d108,plain,
( ~ in(X0,'hole$u2')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = X0 ),
inference(resolution,[status(thm)],[c19,d107]) ).
cnf(d109,plain,
( ~ in(X0,'hole$u3')
| ~ hole('hole$u3')
| ~ pigeon('pigeon$u3')
| ~ pigeon(X0)
| 'pigeon$u3' = X0
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d45,c31]) ).
cnf(d110,plain,
( ~ in(X0,'hole$u3')
| ~ hole('hole$u3')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = X0 ),
inference(resolution,[status(thm)],[c5,d109]) ).
cnf(d111,plain,
( ~ in(X0,'hole$u3')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = X0 ),
inference(resolution,[status(thm)],[c20,d110]) ).
cnf(d112,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[d111,d14]) ).
cnf(d113,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d112]) ).
cnf(d114,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c16,d113]) ).
cnf(d115,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| in('pigeon$u5','hole$u2') ),
inference(superposition,[status(thm)],[d114,c30]) ).
cnf(d116,plain,
( in('pigeon$u5','hole$u2')
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c7,d115]) ).
cnf(d117,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[d108,d116]) ).
cnf(d118,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d117]) ).
cnf(d119,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c14,d118]) ).
cnf(d120,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| in('pigeon$u5','hole$u1') ),
inference(superposition,[status(thm)],[d119,c30]) ).
cnf(d121,plain,
( in('pigeon$u5','hole$u1')
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c7,d120]) ).
cnf(d122,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u4')
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[d111,d66]) ).
cnf(d123,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[c6,d122]) ).
cnf(d124,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c15,d123]) ).
cnf(d125,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u4')
| in('pigeon$u4','hole$u2') ),
inference(superposition,[status(thm)],[d124,c30]) ).
cnf(d126,plain,
( in('pigeon$u4','hole$u2')
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c6,d125]) ).
cnf(d127,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u4')
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[d108,d126]) ).
cnf(d128,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[c6,d127]) ).
cnf(d129,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c13,d128]) ).
cnf(d130,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u4')
| in('pigeon$u4','hole$u1') ),
inference(superposition,[status(thm)],[d129,c30]) ).
cnf(d131,plain,
( in('pigeon$u4','hole$u1')
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c6,d130]) ).
cnf(d132,plain,
( ~ in(X0,'hole$u1')
| ~ hole('hole$u1')
| ~ pigeon('pigeon$u4')
| ~ pigeon(X0)
| 'pigeon$u4' = X0
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d131,c31]) ).
cnf(d133,plain,
( ~ in(X0,'hole$u1')
| ~ hole('hole$u1')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u4' = X0 ),
inference(resolution,[status(thm)],[c6,d132]) ).
cnf(d134,plain,
( ~ in(X0,'hole$u1')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u4' = X0 ),
inference(resolution,[status(thm)],[c18,d133]) ).
cnf(d135,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u4' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[d134,d121]) ).
cnf(d136,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u4' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d135]) ).
cnf(d137,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c17,d136]) ).
cnf(d138,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u3')
| in('pigeon$u3','hole$u2') ),
inference(superposition,[status(thm)],[d137,c30]) ).
cnf(d139,plain,
( in('pigeon$u3','hole$u2')
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c5,d138]) ).
cnf(d140,plain,
( ~ pigeon('pigeon$u3')
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d139,d108]) ).
cnf(d141,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u3' ),
inference(resolution,[status(thm)],[c5,d140]) ).
cnf(d142,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c12,d141]) ).
cnf(d143,plain,
( 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u3')
| in('pigeon$u3','hole$u1') ),
inference(superposition,[status(thm)],[d142,c30]) ).
cnf(d144,plain,
( in('pigeon$u3','hole$u1')
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c5,d143]) ).
cnf(d145,plain,
( ~ in(X0,'hole$u1')
| ~ hole('hole$u1')
| ~ pigeon('pigeon$u3')
| ~ pigeon(X0)
| 'pigeon$u3' = X0
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d144,c31]) ).
cnf(d146,plain,
( ~ in(X0,'hole$u1')
| ~ hole('hole$u1')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = X0 ),
inference(resolution,[status(thm)],[c5,d145]) ).
cnf(d147,plain,
( ~ in(X0,'hole$u1')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = X0 ),
inference(resolution,[status(thm)],[c18,d146]) ).
cnf(d148,plain,
( ~ in(X0,'hole$u3')
| ~ hole('hole$u3')
| ~ pigeon('pigeon$u4')
| ~ pigeon(X0)
| 'pigeon$u4' = X0
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d66,c31]) ).
cnf(d149,plain,
( ~ in(X0,'hole$u3')
| ~ hole('hole$u3')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u4' = X0 ),
inference(resolution,[status(thm)],[c6,d148]) ).
cnf(d150,plain,
( ~ in(X0,'hole$u3')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u4' = X0 ),
inference(resolution,[status(thm)],[c20,d149]) ).
cnf(d151,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u4' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[d150,d14]) ).
cnf(d152,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u4' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d151]) ).
cnf(d153,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c17,d152]) ).
cnf(d154,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| in('pigeon$u5','hole$u2') ),
inference(superposition,[status(thm)],[d153,c30]) ).
cnf(d155,plain,
( in('pigeon$u5','hole$u2')
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c7,d154]) ).
cnf(d156,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[d108,d155]) ).
cnf(d157,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d156]) ).
cnf(d158,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c14,d157]) ).
cnf(d159,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| in('pigeon$u5','hole$u1') ),
inference(superposition,[status(thm)],[d158,c30]) ).
cnf(d160,plain,
( in('pigeon$u5','hole$u1')
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c7,d159]) ).
cnf(d161,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[d147,d160]) ).
cnf(d162,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d161]) ).
cnf(d163,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c16,d162]) ).
cnf(d164,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u4')
| in('pigeon$u4','hole$u2') ),
inference(superposition,[status(thm)],[d163,c30]) ).
cnf(d165,plain,
( in('pigeon$u4','hole$u2')
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c6,d164]) ).
cnf(d166,plain,
( ~ pigeon('pigeon$u4')
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u4'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d165,d108]) ).
cnf(d167,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[c6,d166]) ).
cnf(d168,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c13,d167]) ).
cnf(d169,plain,
( 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u4')
| in('pigeon$u4','hole$u1') ),
inference(superposition,[status(thm)],[d168,c30]) ).
cnf(d170,plain,
( in('pigeon$u4','hole$u1')
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c6,d169]) ).
cnf(d171,plain,
( ~ pigeon('pigeon$u4')
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = 'pigeon$u4'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d170,d147]) ).
cnf(d172,plain,
( 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[c6,d171]) ).
cnf(d173,plain,
( 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c15,d172]) ).
cnf(d174,plain,
( 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u2')
| in('pigeon$u2','hole$u1') ),
inference(superposition,[status(thm)],[d173,c30]) ).
cnf(d175,plain,
( in('pigeon$u2','hole$u1')
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c4,d174]) ).
cnf(d176,plain,
( ~ in(X0,'hole$u1')
| ~ hole('hole$u1')
| ~ pigeon('pigeon$u2')
| ~ pigeon(X0)
| 'pigeon$u2' = X0
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d175,c31]) ).
cnf(d177,plain,
( ~ in(X0,'hole$u1')
| ~ hole('hole$u1')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = X0 ),
inference(resolution,[status(thm)],[c4,d176]) ).
cnf(d178,plain,
( ~ in(X0,'hole$u1')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = X0 ),
inference(resolution,[status(thm)],[c18,d177]) ).
cnf(d179,plain,
( ~ in(X0,'hole$u2')
| ~ hole('hole$u2')
| ~ pigeon('pigeon$u4')
| ~ pigeon(X0)
| 'pigeon$u4' = X0
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d126,c31]) ).
cnf(d180,plain,
( ~ in(X0,'hole$u2')
| ~ hole('hole$u2')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u4' = X0 ),
inference(resolution,[status(thm)],[c6,d179]) ).
cnf(d181,plain,
( ~ in(X0,'hole$u2')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u4' = X0 ),
inference(resolution,[status(thm)],[c19,d180]) ).
cnf(d182,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u4' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[d181,d116]) ).
cnf(d183,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u4' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d182]) ).
cnf(d184,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c17,d183]) ).
cnf(d185,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| in('pigeon$u5','hole$u1') ),
inference(superposition,[status(thm)],[d184,c30]) ).
cnf(d186,plain,
( in('pigeon$u5','hole$u1')
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c7,d185]) ).
cnf(d187,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[d178,d186]) ).
cnf(d188,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d187]) ).
cnf(d189,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c14,d188]) ).
cnf(d190,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u4')
| in('pigeon$u4','hole$u1') ),
inference(superposition,[status(thm)],[d189,c30]) ).
cnf(d191,plain,
( in('pigeon$u4','hole$u1')
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c6,d190]) ).
cnf(d192,plain,
( ~ pigeon('pigeon$u4')
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u4'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d191,d178]) ).
cnf(d193,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[c6,d192]) ).
cnf(d194,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c13,d193]) ).
cnf(d195,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u3')
| in('pigeon$u3','hole$u2') ),
inference(superposition,[status(thm)],[d194,c30]) ).
cnf(d196,plain,
( in('pigeon$u3','hole$u2')
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c5,d195]) ).
cnf(d197,plain,
( ~ in(X0,'hole$u2')
| ~ hole('hole$u2')
| ~ pigeon('pigeon$u3')
| ~ pigeon(X0)
| 'pigeon$u3' = X0
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d196,c31]) ).
cnf(d198,plain,
( ~ in(X0,'hole$u2')
| ~ hole('hole$u2')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = X0 ),
inference(resolution,[status(thm)],[c5,d197]) ).
cnf(d199,plain,
( ~ in(X0,'hole$u2')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = X0 ),
inference(resolution,[status(thm)],[c19,d198]) ).
cnf(d200,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[d199,d155]) ).
cnf(d201,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d200]) ).
cnf(d202,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c16,d201]) ).
cnf(d203,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| in('pigeon$u5','hole$u1') ),
inference(superposition,[status(thm)],[d202,c30]) ).
cnf(d204,plain,
( in('pigeon$u5','hole$u1')
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c7,d203]) ).
cnf(d205,plain,
( ~ pigeon('pigeon$u5')
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u5'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d204,d178]) ).
cnf(d206,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d205]) ).
cnf(d207,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c14,d206]) ).
cnf(d208,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u4')
| in('pigeon$u4','hole$u2') ),
inference(superposition,[status(thm)],[d207,c30]) ).
cnf(d209,plain,
( in('pigeon$u4','hole$u2')
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c6,d208]) ).
cnf(d210,plain,
( ~ pigeon('pigeon$u4')
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = 'pigeon$u4'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d209,d199]) ).
cnf(d211,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[c6,d210]) ).
cnf(d212,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c15,d211]) ).
cnf(d213,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u4')
| in('pigeon$u4','hole$u1') ),
inference(superposition,[status(thm)],[d212,c30]) ).
cnf(d214,plain,
( in('pigeon$u4','hole$u1')
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c6,d213]) ).
cnf(d215,plain,
( ~ pigeon('pigeon$u4')
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u4'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d214,d178]) ).
cnf(d216,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[c6,d215]) ).
cnf(d217,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c13,d216]) ).
cnf(d218,plain,
( 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u3')
| in('pigeon$u3','hole$u1') ),
inference(superposition,[status(thm)],[d217,c30]) ).
cnf(d219,plain,
( in('pigeon$u3','hole$u1')
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c5,d218]) ).
cnf(d220,plain,
( ~ pigeon('pigeon$u3')
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d219,d178]) ).
cnf(d221,plain,
( 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u3' ),
inference(resolution,[status(thm)],[c5,d220]) ).
cnf(d222,plain,
( 'hole$uof'('pigeon$u1') = 'hole$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c12,d221]) ).
cnf(d223,plain,
( 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u1')
| in('pigeon$u1','hole$u3') ),
inference(superposition,[status(thm)],[d222,c30]) ).
cnf(d224,plain,
( in('pigeon$u1','hole$u3')
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c3,d223]) ).
cnf(d225,plain,
( ~ in(X0,'hole$u3')
| ~ hole('hole$u3')
| ~ pigeon('pigeon$u1')
| ~ pigeon(X0)
| 'pigeon$u1' = X0
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d224,c31]) ).
cnf(d226,plain,
( ~ in(X0,'hole$u3')
| ~ hole('hole$u3')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = X0 ),
inference(resolution,[status(thm)],[c3,d225]) ).
cnf(d227,plain,
( ~ in(X0,'hole$u3')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = X0 ),
inference(resolution,[status(thm)],[c20,d226]) ).
cnf(d228,plain,
( 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| ~ hole('hole$uof'('pigeon$u2'))
| ~ pigeon('pigeon$u2')
| ~ pigeon(X0)
| 'pigeon$u2' = X0
| ~ in(X0,'hole$u4') ),
inference(superposition,[status(thm)],[d15,d0]) ).
cnf(d229,plain,
( ~ in(X0,'hole$u4')
| ~ hole('hole$uof'('pigeon$u2'))
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u2' = X0 ),
inference(resolution,[status(thm)],[c4,d228]) ).
cnf(d230,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u3'
| 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| ~ hole('hole$uof'('pigeon$u2'))
| ~ pigeon('pigeon$u5')
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[d229,d7]) ).
cnf(d231,plain,
( ~ hole('hole$uof'('pigeon$u2'))
| 'hole$uof'('pigeon$u5') = 'hole$u3'
| 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d230]) ).
cnf(d232,plain,
( ~ hole('hole$uof'('pigeon$u2'))
| 'hole$uof'('pigeon$u5') = 'hole$u3'
| 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[c14,d231]) ).
cnf(d233,plain,
( ~ pigeon('pigeon$u2')
| 'hole$uof'('pigeon$u5') = 'hole$u3'
| 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[d232,c29]) ).
cnf(d234,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u3'
| 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[c4,d233]) ).
cnf(d235,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| in('pigeon$u5','hole$u3') ),
inference(superposition,[status(thm)],[d234,c30]) ).
cnf(d236,plain,
( in('pigeon$u5','hole$u3')
| 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[c7,d235]) ).
cnf(d237,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[d227,d236]) ).
cnf(d238,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d237]) ).
cnf(d239,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c11,d238]) ).
cnf(d240,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| in('pigeon$u5','hole$u2') ),
inference(superposition,[status(thm)],[d239,c30]) ).
cnf(d241,plain,
( in('pigeon$u5','hole$u2')
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c7,d240]) ).
cnf(d242,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| ~ hole('hole$uof'('pigeon$u2'))
| ~ pigeon('pigeon$u3')
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u3' ),
inference(resolution,[status(thm)],[d229,d38]) ).
cnf(d243,plain,
( ~ hole('hole$uof'('pigeon$u2'))
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u3' ),
inference(resolution,[status(thm)],[c5,d242]) ).
cnf(d244,plain,
( ~ hole('hole$uof'('pigeon$u2'))
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[c12,d243]) ).
cnf(d245,plain,
( ~ pigeon('pigeon$u2')
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[d244,c29]) ).
cnf(d246,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[c4,d245]) ).
cnf(d247,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| ~ pigeon('pigeon$u3')
| in('pigeon$u3','hole$u3') ),
inference(superposition,[status(thm)],[d246,c30]) ).
cnf(d248,plain,
( in('pigeon$u3','hole$u3')
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[c5,d247]) ).
cnf(d249,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| ~ pigeon('pigeon$u3')
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u3' ),
inference(resolution,[status(thm)],[d227,d248]) ).
cnf(d250,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u3' ),
inference(resolution,[status(thm)],[c5,d249]) ).
cnf(d251,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c9,d250]) ).
cnf(d252,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u3')
| in('pigeon$u3','hole$u2') ),
inference(superposition,[status(thm)],[d251,c30]) ).
cnf(d253,plain,
( in('pigeon$u3','hole$u2')
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c5,d252]) ).
cnf(d254,plain,
( ~ in(X0,'hole$u2')
| ~ hole('hole$u2')
| ~ pigeon('pigeon$u3')
| ~ pigeon(X0)
| 'pigeon$u3' = X0
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d253,c31]) ).
cnf(d255,plain,
( ~ in(X0,'hole$u2')
| ~ hole('hole$u2')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = X0 ),
inference(resolution,[status(thm)],[c5,d254]) ).
cnf(d256,plain,
( ~ in(X0,'hole$u2')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = X0 ),
inference(resolution,[status(thm)],[c19,d255]) ).
cnf(d257,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[d256,d241]) ).
cnf(d258,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d257]) ).
cnf(d259,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c16,d258]) ).
cnf(d260,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| in('pigeon$u5','hole$u1') ),
inference(superposition,[status(thm)],[d259,c30]) ).
cnf(d261,plain,
( in('pigeon$u5','hole$u1')
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c7,d260]) ).
cnf(d262,plain,
( ~ in(X0,'hole$u4')
| ~ hole('hole$u4')
| ~ pigeon('pigeon$u2')
| ~ pigeon(X0)
| 'pigeon$u2' = X0
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[d17,c31]) ).
cnf(d263,plain,
( ~ in(X0,'hole$u4')
| ~ hole('hole$u4')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u2' = X0 ),
inference(resolution,[status(thm)],[c4,d262]) ).
cnf(d264,plain,
( ~ in(X0,'hole$u4')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u2' = X0 ),
inference(resolution,[status(thm)],[c21,d263]) ).
cnf(d265,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| ~ pigeon('pigeon$u4')
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[d264,d61]) ).
cnf(d266,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[c6,d265]) ).
cnf(d267,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[c13,d266]) ).
cnf(d268,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| ~ pigeon('pigeon$u4')
| in('pigeon$u4','hole$u3') ),
inference(superposition,[status(thm)],[d267,c30]) ).
cnf(d269,plain,
( in('pigeon$u4','hole$u3')
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[c6,d268]) ).
cnf(d270,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| ~ pigeon('pigeon$u4')
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[d227,d269]) ).
cnf(d271,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[c6,d270]) ).
cnf(d272,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c10,d271]) ).
cnf(d273,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u4')
| in('pigeon$u4','hole$u2') ),
inference(superposition,[status(thm)],[d272,c30]) ).
cnf(d274,plain,
( in('pigeon$u4','hole$u2')
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c6,d273]) ).
cnf(d275,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u4')
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[d256,d274]) ).
cnf(d276,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[c6,d275]) ).
cnf(d277,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c15,d276]) ).
cnf(d278,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u4')
| in('pigeon$u4','hole$u1') ),
inference(superposition,[status(thm)],[d277,c30]) ).
cnf(d279,plain,
( in('pigeon$u4','hole$u1')
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c6,d278]) ).
cnf(d280,plain,
( ~ in(X0,'hole$u1')
| ~ hole('hole$u1')
| ~ pigeon('pigeon$u4')
| ~ pigeon(X0)
| 'pigeon$u4' = X0
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d279,c31]) ).
cnf(d281,plain,
( ~ in(X0,'hole$u1')
| ~ hole('hole$u1')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u4' = X0 ),
inference(resolution,[status(thm)],[c6,d280]) ).
cnf(d282,plain,
( ~ in(X0,'hole$u1')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u4' = X0 ),
inference(resolution,[status(thm)],[c18,d281]) ).
cnf(d283,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u4' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[d282,d261]) ).
cnf(d284,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u4' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d283]) ).
cnf(d285,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c17,d284]) ).
cnf(d286,plain,
( 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u3')
| in('pigeon$u3','hole$u1') ),
inference(superposition,[status(thm)],[d285,c30]) ).
cnf(d287,plain,
( in('pigeon$u3','hole$u1')
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c5,d286]) ).
cnf(d288,plain,
( ~ in(X0,'hole$u1')
| ~ hole('hole$u1')
| ~ pigeon('pigeon$u3')
| ~ pigeon(X0)
| 'pigeon$u3' = X0
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d287,c31]) ).
cnf(d289,plain,
( ~ in(X0,'hole$u1')
| ~ hole('hole$u1')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = X0 ),
inference(resolution,[status(thm)],[c5,d288]) ).
cnf(d290,plain,
( ~ in(X0,'hole$u1')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = X0 ),
inference(resolution,[status(thm)],[c18,d289]) ).
cnf(d291,plain,
( ~ in(X0,'hole$u2')
| ~ hole('hole$u2')
| ~ pigeon('pigeon$u4')
| ~ pigeon(X0)
| 'pigeon$u4' = X0
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d274,c31]) ).
cnf(d292,plain,
( ~ in(X0,'hole$u2')
| ~ hole('hole$u2')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u4' = X0 ),
inference(resolution,[status(thm)],[c6,d291]) ).
cnf(d293,plain,
( ~ in(X0,'hole$u2')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u4' = X0 ),
inference(resolution,[status(thm)],[c19,d292]) ).
cnf(d294,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u4' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[d293,d241]) ).
cnf(d295,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u4' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d294]) ).
cnf(d296,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c17,d295]) ).
cnf(d297,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| in('pigeon$u5','hole$u1') ),
inference(superposition,[status(thm)],[d296,c30]) ).
cnf(d298,plain,
( in('pigeon$u5','hole$u1')
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c7,d297]) ).
cnf(d299,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[d290,d298]) ).
cnf(d300,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d299]) ).
cnf(d301,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c16,d300]) ).
cnf(d302,plain,
( 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u4')
| in('pigeon$u4','hole$u1') ),
inference(superposition,[status(thm)],[d301,c30]) ).
cnf(d303,plain,
( in('pigeon$u4','hole$u1')
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c6,d302]) ).
cnf(d304,plain,
( ~ pigeon('pigeon$u4')
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = 'pigeon$u4'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d303,d290]) ).
cnf(d305,plain,
( 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[c6,d304]) ).
cnf(d306,plain,
( 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c15,d305]) ).
cnf(d307,plain,
( 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u2')
| in('pigeon$u2','hole$u3') ),
inference(superposition,[status(thm)],[d306,c30]) ).
cnf(d308,plain,
( in('pigeon$u2','hole$u3')
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c4,d307]) ).
cnf(d309,plain,
( ~ pigeon('pigeon$u2')
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d308,d227]) ).
cnf(d310,plain,
( 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u2' ),
inference(resolution,[status(thm)],[c4,d309]) ).
cnf(d311,plain,
( 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c8,d310]) ).
cnf(d312,plain,
( 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u2')
| in('pigeon$u2','hole$u2') ),
inference(superposition,[status(thm)],[d311,c30]) ).
cnf(d313,plain,
( in('pigeon$u2','hole$u2')
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c4,d312]) ).
cnf(d314,plain,
( ~ in(X0,'hole$u2')
| ~ hole('hole$u2')
| ~ pigeon('pigeon$u2')
| ~ pigeon(X0)
| 'pigeon$u2' = X0
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d313,c31]) ).
cnf(d315,plain,
( ~ in(X0,'hole$u2')
| ~ hole('hole$u2')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = X0 ),
inference(resolution,[status(thm)],[c4,d314]) ).
cnf(d316,plain,
( ~ in(X0,'hole$u2')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = X0 ),
inference(resolution,[status(thm)],[c19,d315]) ).
cnf(d317,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| ~ hole('hole$uof'('pigeon$u3'))
| ~ pigeon('pigeon$u3')
| ~ pigeon(X0)
| 'pigeon$u3' = X0
| ~ in(X0,'hole$u4') ),
inference(superposition,[status(thm)],[d36,d0]) ).
cnf(d318,plain,
( ~ in(X0,'hole$u4')
| ~ hole('hole$uof'('pigeon$u3'))
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'pigeon$u3' = X0 ),
inference(resolution,[status(thm)],[c5,d317]) ).
cnf(d319,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u3'
| 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| ~ hole('hole$uof'('pigeon$u3'))
| ~ pigeon('pigeon$u5')
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'pigeon$u3' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[d318,d7]) ).
cnf(d320,plain,
( ~ hole('hole$uof'('pigeon$u3'))
| 'hole$uof'('pigeon$u5') = 'hole$u3'
| 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'pigeon$u3' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d319]) ).
cnf(d321,plain,
( ~ hole('hole$uof'('pigeon$u3'))
| 'hole$uof'('pigeon$u5') = 'hole$u3'
| 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1' ),
inference(resolution,[status(thm)],[c16,d320]) ).
cnf(d322,plain,
( ~ pigeon('pigeon$u3')
| 'hole$uof'('pigeon$u5') = 'hole$u3'
| 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1' ),
inference(resolution,[status(thm)],[d321,c29]) ).
cnf(d323,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u3'
| 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1' ),
inference(resolution,[status(thm)],[c5,d322]) ).
cnf(d324,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| in('pigeon$u5','hole$u3') ),
inference(superposition,[status(thm)],[d323,c30]) ).
cnf(d325,plain,
( in('pigeon$u5','hole$u3')
| 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1' ),
inference(resolution,[status(thm)],[c7,d324]) ).
cnf(d326,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[d227,d325]) ).
cnf(d327,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d326]) ).
cnf(d328,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c11,d327]) ).
cnf(d329,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| in('pigeon$u5','hole$u2') ),
inference(superposition,[status(thm)],[d328,c30]) ).
cnf(d330,plain,
( in('pigeon$u5','hole$u2')
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c7,d329]) ).
cnf(d331,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[d316,d330]) ).
cnf(d332,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d331]) ).
cnf(d333,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c14,d332]) ).
cnf(d334,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| in('pigeon$u5','hole$u1') ),
inference(superposition,[status(thm)],[d333,c30]) ).
cnf(d335,plain,
( in('pigeon$u5','hole$u1')
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c7,d334]) ).
cnf(d336,plain,
( ~ in(X0,'hole$u4')
| ~ hole('hole$u4')
| ~ pigeon('pigeon$u3')
| ~ pigeon(X0)
| 'pigeon$u3' = X0
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1' ),
inference(resolution,[status(thm)],[d38,c31]) ).
cnf(d337,plain,
( ~ in(X0,'hole$u4')
| ~ hole('hole$u4')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'pigeon$u3' = X0 ),
inference(resolution,[status(thm)],[c5,d336]) ).
cnf(d338,plain,
( ~ in(X0,'hole$u4')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'pigeon$u3' = X0 ),
inference(resolution,[status(thm)],[c21,d337]) ).
cnf(d339,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| ~ pigeon('pigeon$u4')
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'pigeon$u3' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[d338,d61]) ).
cnf(d340,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'pigeon$u3' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[c6,d339]) ).
cnf(d341,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1' ),
inference(resolution,[status(thm)],[c15,d340]) ).
cnf(d342,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| ~ pigeon('pigeon$u4')
| in('pigeon$u4','hole$u3') ),
inference(superposition,[status(thm)],[d341,c30]) ).
cnf(d343,plain,
( in('pigeon$u4','hole$u3')
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1' ),
inference(resolution,[status(thm)],[c6,d342]) ).
cnf(d344,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| ~ pigeon('pigeon$u4')
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[d227,d343]) ).
cnf(d345,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[c6,d344]) ).
cnf(d346,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c10,d345]) ).
cnf(d347,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u4')
| in('pigeon$u4','hole$u2') ),
inference(superposition,[status(thm)],[d346,c30]) ).
cnf(d348,plain,
( in('pigeon$u4','hole$u2')
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c6,d347]) ).
cnf(d349,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u4')
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[d316,d348]) ).
cnf(d350,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[c6,d349]) ).
cnf(d351,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c13,d350]) ).
cnf(d352,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u4')
| in('pigeon$u4','hole$u1') ),
inference(superposition,[status(thm)],[d351,c30]) ).
cnf(d353,plain,
( in('pigeon$u4','hole$u1')
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c6,d352]) ).
cnf(d354,plain,
( ~ in(X0,'hole$u1')
| ~ hole('hole$u1')
| ~ pigeon('pigeon$u4')
| ~ pigeon(X0)
| 'pigeon$u4' = X0
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d353,c31]) ).
cnf(d355,plain,
( ~ in(X0,'hole$u1')
| ~ hole('hole$u1')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u4' = X0 ),
inference(resolution,[status(thm)],[c6,d354]) ).
cnf(d356,plain,
( ~ in(X0,'hole$u1')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u4' = X0 ),
inference(resolution,[status(thm)],[c18,d355]) ).
cnf(d357,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u4' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[d356,d335]) ).
cnf(d358,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u4' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d357]) ).
cnf(d359,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c17,d358]) ).
cnf(d360,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u3')
| in('pigeon$u3','hole$u3') ),
inference(superposition,[status(thm)],[d359,c30]) ).
cnf(d361,plain,
( in('pigeon$u3','hole$u3')
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c5,d360]) ).
cnf(d362,plain,
( ~ pigeon('pigeon$u3')
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d361,d227]) ).
cnf(d363,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u3' ),
inference(resolution,[status(thm)],[c5,d362]) ).
cnf(d364,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c9,d363]) ).
cnf(d365,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u3')
| in('pigeon$u3','hole$u2') ),
inference(superposition,[status(thm)],[d364,c30]) ).
cnf(d366,plain,
( in('pigeon$u3','hole$u2')
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c5,d365]) ).
cnf(d367,plain,
( ~ pigeon('pigeon$u3')
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d366,d316]) ).
cnf(d368,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u3' ),
inference(resolution,[status(thm)],[c5,d367]) ).
cnf(d369,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c12,d368]) ).
cnf(d370,plain,
( 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u3')
| in('pigeon$u3','hole$u1') ),
inference(superposition,[status(thm)],[d369,c30]) ).
cnf(d371,plain,
( in('pigeon$u3','hole$u1')
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c5,d370]) ).
cnf(d372,plain,
( ~ in(X0,'hole$u1')
| ~ hole('hole$u1')
| ~ pigeon('pigeon$u3')
| ~ pigeon(X0)
| 'pigeon$u3' = X0
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d371,c31]) ).
cnf(d373,plain,
( ~ in(X0,'hole$u1')
| ~ hole('hole$u1')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = X0 ),
inference(resolution,[status(thm)],[c5,d372]) ).
cnf(d374,plain,
( ~ in(X0,'hole$u1')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = X0 ),
inference(resolution,[status(thm)],[c18,d373]) ).
cnf(d375,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| ~ hole('hole$uof'('pigeon$u4'))
| ~ pigeon('pigeon$u4')
| ~ pigeon(X0)
| 'pigeon$u4' = X0
| ~ in(X0,'hole$u4') ),
inference(superposition,[status(thm)],[d59,d0]) ).
cnf(d376,plain,
( ~ in(X0,'hole$u4')
| ~ hole('hole$uof'('pigeon$u4'))
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'pigeon$u4' = X0 ),
inference(resolution,[status(thm)],[c6,d375]) ).
cnf(d377,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u3'
| 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| ~ hole('hole$uof'('pigeon$u4'))
| ~ pigeon('pigeon$u5')
| 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'pigeon$u4' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[d376,d7]) ).
cnf(d378,plain,
( ~ hole('hole$uof'('pigeon$u4'))
| 'hole$uof'('pigeon$u5') = 'hole$u3'
| 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'pigeon$u4' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d377]) ).
cnf(d379,plain,
( ~ hole('hole$uof'('pigeon$u4'))
| 'hole$uof'('pigeon$u5') = 'hole$u3'
| 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1' ),
inference(resolution,[status(thm)],[c17,d378]) ).
cnf(d380,plain,
( ~ pigeon('pigeon$u4')
| 'hole$uof'('pigeon$u5') = 'hole$u3'
| 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1' ),
inference(resolution,[status(thm)],[d379,c29]) ).
cnf(d381,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u3'
| 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1' ),
inference(resolution,[status(thm)],[c6,d380]) ).
cnf(d382,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| in('pigeon$u5','hole$u3') ),
inference(superposition,[status(thm)],[d381,c30]) ).
cnf(d383,plain,
( in('pigeon$u5','hole$u3')
| 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1' ),
inference(resolution,[status(thm)],[c7,d382]) ).
cnf(d384,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[d227,d383]) ).
cnf(d385,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d384]) ).
cnf(d386,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c11,d385]) ).
cnf(d387,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| in('pigeon$u5','hole$u2') ),
inference(superposition,[status(thm)],[d386,c30]) ).
cnf(d388,plain,
( in('pigeon$u5','hole$u2')
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c7,d387]) ).
cnf(d389,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[d316,d388]) ).
cnf(d390,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d389]) ).
cnf(d391,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c14,d390]) ).
cnf(d392,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| in('pigeon$u5','hole$u1') ),
inference(superposition,[status(thm)],[d391,c30]) ).
cnf(d393,plain,
( in('pigeon$u5','hole$u1')
| 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c7,d392]) ).
cnf(d394,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[d374,d393]) ).
cnf(d395,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d394]) ).
cnf(d396,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c16,d395]) ).
cnf(d397,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u4')
| in('pigeon$u4','hole$u3') ),
inference(superposition,[status(thm)],[d396,c30]) ).
cnf(d398,plain,
( in('pigeon$u4','hole$u3')
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c6,d397]) ).
cnf(d399,plain,
( ~ pigeon('pigeon$u4')
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u4'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d398,d227]) ).
cnf(d400,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[c6,d399]) ).
cnf(d401,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c10,d400]) ).
cnf(d402,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u4')
| in('pigeon$u4','hole$u2') ),
inference(superposition,[status(thm)],[d401,c30]) ).
cnf(d403,plain,
( in('pigeon$u4','hole$u2')
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c6,d402]) ).
cnf(d404,plain,
( ~ pigeon('pigeon$u4')
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u4'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d403,d316]) ).
cnf(d405,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[c6,d404]) ).
cnf(d406,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c13,d405]) ).
cnf(d407,plain,
( 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u4')
| in('pigeon$u4','hole$u1') ),
inference(superposition,[status(thm)],[d406,c30]) ).
cnf(d408,plain,
( in('pigeon$u4','hole$u1')
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c6,d407]) ).
cnf(d409,plain,
( ~ pigeon('pigeon$u4')
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = 'pigeon$u4'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d408,d374]) ).
cnf(d410,plain,
( 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[c6,d409]) ).
cnf(d411,plain,
( 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c15,d410]) ).
cnf(d412,plain,
( 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u2')
| in('pigeon$u2','hole$u1') ),
inference(superposition,[status(thm)],[d411,c30]) ).
cnf(d413,plain,
( in('pigeon$u2','hole$u1')
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c4,d412]) ).
cnf(d414,plain,
( ~ in(X0,'hole$u1')
| ~ hole('hole$u1')
| ~ pigeon('pigeon$u2')
| ~ pigeon(X0)
| 'pigeon$u2' = X0
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d413,c31]) ).
cnf(d415,plain,
( ~ in(X0,'hole$u1')
| ~ hole('hole$u1')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = X0 ),
inference(resolution,[status(thm)],[c4,d414]) ).
cnf(d416,plain,
( ~ in(X0,'hole$u1')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = X0 ),
inference(resolution,[status(thm)],[c18,d415]) ).
cnf(d417,plain,
( ~ in(X0,'hole$u2')
| ~ hole('hole$u2')
| ~ pigeon('pigeon$u4')
| ~ pigeon(X0)
| 'pigeon$u4' = X0
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d348,c31]) ).
cnf(d418,plain,
( ~ in(X0,'hole$u2')
| ~ hole('hole$u2')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u4' = X0 ),
inference(resolution,[status(thm)],[c6,d417]) ).
cnf(d419,plain,
( ~ in(X0,'hole$u2')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u4' = X0 ),
inference(resolution,[status(thm)],[c19,d418]) ).
cnf(d420,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u4' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[d419,d330]) ).
cnf(d421,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u4' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d420]) ).
cnf(d422,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c17,d421]) ).
cnf(d423,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| in('pigeon$u5','hole$u1') ),
inference(superposition,[status(thm)],[d422,c30]) ).
cnf(d424,plain,
( in('pigeon$u5','hole$u1')
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c7,d423]) ).
cnf(d425,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[d416,d424]) ).
cnf(d426,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d425]) ).
cnf(d427,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c14,d426]) ).
cnf(d428,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u4')
| in('pigeon$u4','hole$u1') ),
inference(superposition,[status(thm)],[d427,c30]) ).
cnf(d429,plain,
( in('pigeon$u4','hole$u1')
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c6,d428]) ).
cnf(d430,plain,
( ~ pigeon('pigeon$u4')
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u4'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d429,d416]) ).
cnf(d431,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[c6,d430]) ).
cnf(d432,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c13,d431]) ).
cnf(d433,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u3')
| in('pigeon$u3','hole$u3') ),
inference(superposition,[status(thm)],[d432,c30]) ).
cnf(d434,plain,
( in('pigeon$u3','hole$u3')
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c5,d433]) ).
cnf(d435,plain,
( ~ pigeon('pigeon$u3')
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d434,d227]) ).
cnf(d436,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u3' ),
inference(resolution,[status(thm)],[c5,d435]) ).
cnf(d437,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c9,d436]) ).
cnf(d438,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u3')
| in('pigeon$u3','hole$u2') ),
inference(superposition,[status(thm)],[d437,c30]) ).
cnf(d439,plain,
( in('pigeon$u3','hole$u2')
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c5,d438]) ).
cnf(d440,plain,
( ~ in(X0,'hole$u2')
| ~ hole('hole$u2')
| ~ pigeon('pigeon$u3')
| ~ pigeon(X0)
| 'pigeon$u3' = X0
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d439,c31]) ).
cnf(d441,plain,
( ~ in(X0,'hole$u2')
| ~ hole('hole$u2')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = X0 ),
inference(resolution,[status(thm)],[c5,d440]) ).
cnf(d442,plain,
( ~ in(X0,'hole$u2')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = X0 ),
inference(resolution,[status(thm)],[c19,d441]) ).
cnf(d443,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[d442,d388]) ).
cnf(d444,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d443]) ).
cnf(d445,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c16,d444]) ).
cnf(d446,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| in('pigeon$u5','hole$u1') ),
inference(superposition,[status(thm)],[d445,c30]) ).
cnf(d447,plain,
( in('pigeon$u5','hole$u1')
| 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c7,d446]) ).
cnf(d448,plain,
( ~ pigeon('pigeon$u5')
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u5'
| 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d447,d416]) ).
cnf(d449,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d448]) ).
cnf(d450,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c14,d449]) ).
cnf(d451,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u4')
| in('pigeon$u4','hole$u3') ),
inference(superposition,[status(thm)],[d450,c30]) ).
cnf(d452,plain,
( in('pigeon$u4','hole$u3')
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c6,d451]) ).
cnf(d453,plain,
( ~ pigeon('pigeon$u4')
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u4'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d452,d227]) ).
cnf(d454,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[c6,d453]) ).
cnf(d455,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c10,d454]) ).
cnf(d456,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u4')
| in('pigeon$u4','hole$u2') ),
inference(superposition,[status(thm)],[d455,c30]) ).
cnf(d457,plain,
( in('pigeon$u4','hole$u2')
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c6,d456]) ).
cnf(d458,plain,
( ~ pigeon('pigeon$u4')
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = 'pigeon$u4'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d457,d442]) ).
cnf(d459,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[c6,d458]) ).
cnf(d460,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c15,d459]) ).
cnf(d461,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u4')
| in('pigeon$u4','hole$u1') ),
inference(superposition,[status(thm)],[d460,c30]) ).
cnf(d462,plain,
( in('pigeon$u4','hole$u1')
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c6,d461]) ).
cnf(d463,plain,
( ~ pigeon('pigeon$u4')
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u4'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d462,d416]) ).
cnf(d464,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[c6,d463]) ).
cnf(d465,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c13,d464]) ).
cnf(d466,plain,
( 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u3')
| in('pigeon$u3','hole$u1') ),
inference(superposition,[status(thm)],[d465,c30]) ).
cnf(d467,plain,
( in('pigeon$u3','hole$u1')
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c5,d466]) ).
cnf(d468,plain,
( ~ pigeon('pigeon$u3')
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d467,d416]) ).
cnf(d469,plain,
( 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u3' ),
inference(resolution,[status(thm)],[c5,d468]) ).
cnf(d470,plain,
( 'hole$uof'('pigeon$u1') = 'hole$u2'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c12,d469]) ).
cnf(d471,plain,
( 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u1')
| in('pigeon$u1','hole$u2') ),
inference(superposition,[status(thm)],[d470,c30]) ).
cnf(d472,plain,
( in('pigeon$u1','hole$u2')
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c3,d471]) ).
cnf(d473,plain,
( ~ in(X0,'hole$u2')
| ~ hole('hole$u2')
| ~ pigeon('pigeon$u1')
| ~ pigeon(X0)
| 'pigeon$u1' = X0
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d472,c31]) ).
cnf(d474,plain,
( ~ in(X0,'hole$u2')
| ~ hole('hole$u2')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = X0 ),
inference(resolution,[status(thm)],[c3,d473]) ).
cnf(d475,plain,
( ~ in(X0,'hole$u2')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = X0 ),
inference(resolution,[status(thm)],[c19,d474]) ).
cnf(d476,plain,
( ~ in(X0,'hole$u3')
| ~ hole('hole$u3')
| ~ pigeon('pigeon$u3')
| ~ pigeon(X0)
| 'pigeon$u3' = X0
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[d248,c31]) ).
cnf(d477,plain,
( ~ in(X0,'hole$u3')
| ~ hole('hole$u3')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u3' = X0 ),
inference(resolution,[status(thm)],[c5,d476]) ).
cnf(d478,plain,
( ~ in(X0,'hole$u3')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u3' = X0 ),
inference(resolution,[status(thm)],[c20,d477]) ).
cnf(d479,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u3' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[d478,d236]) ).
cnf(d480,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u3' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d479]) ).
cnf(d481,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[c16,d480]) ).
cnf(d482,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| in('pigeon$u5','hole$u2') ),
inference(superposition,[status(thm)],[d481,c30]) ).
cnf(d483,plain,
( in('pigeon$u5','hole$u2')
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[c7,d482]) ).
cnf(d484,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[d475,d483]) ).
cnf(d485,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d484]) ).
cnf(d486,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c11,d485]) ).
cnf(d487,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| in('pigeon$u5','hole$u1') ),
inference(superposition,[status(thm)],[d486,c30]) ).
cnf(d488,plain,
( in('pigeon$u5','hole$u1')
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c7,d487]) ).
cnf(d489,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| ~ pigeon('pigeon$u4')
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u3' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[d478,d269]) ).
cnf(d490,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u3' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[c6,d489]) ).
cnf(d491,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[c15,d490]) ).
cnf(d492,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| ~ pigeon('pigeon$u4')
| in('pigeon$u4','hole$u2') ),
inference(superposition,[status(thm)],[d491,c30]) ).
cnf(d493,plain,
( in('pigeon$u4','hole$u2')
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[c6,d492]) ).
cnf(d494,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| ~ pigeon('pigeon$u4')
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[d475,d493]) ).
cnf(d495,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[c6,d494]) ).
cnf(d496,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c10,d495]) ).
cnf(d497,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ hole('hole$uof'('pigeon$u4'))
| ~ pigeon('pigeon$u4')
| ~ pigeon(X0)
| 'pigeon$u4' = X0
| ~ in(X0,'hole$u1') ),
inference(superposition,[status(thm)],[d496,d0]) ).
cnf(d498,plain,
( ~ in(X0,'hole$u1')
| ~ hole('hole$uof'('pigeon$u4'))
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u4' = X0 ),
inference(resolution,[status(thm)],[c6,d497]) ).
cnf(d499,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ hole('hole$uof'('pigeon$u4'))
| ~ pigeon('pigeon$u5')
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u4' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[d498,d488]) ).
cnf(d500,plain,
( ~ hole('hole$uof'('pigeon$u4'))
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u4' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d499]) ).
cnf(d501,plain,
( ~ hole('hole$uof'('pigeon$u4'))
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c17,d500]) ).
cnf(d502,plain,
( ~ pigeon('pigeon$u4')
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d501,c29]) ).
cnf(d503,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c6,d502]) ).
cnf(d504,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u3')
| in('pigeon$u3','hole$u2') ),
inference(superposition,[status(thm)],[d503,c30]) ).
cnf(d505,plain,
( in('pigeon$u3','hole$u2')
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c5,d504]) ).
cnf(d506,plain,
( ~ pigeon('pigeon$u3')
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d505,d475]) ).
cnf(d507,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u3' ),
inference(resolution,[status(thm)],[c5,d506]) ).
cnf(d508,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c9,d507]) ).
cnf(d509,plain,
( 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u3')
| in('pigeon$u3','hole$u1') ),
inference(superposition,[status(thm)],[d508,c30]) ).
cnf(d510,plain,
( in('pigeon$u3','hole$u1')
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c5,d509]) ).
cnf(d511,plain,
( ~ in(X0,'hole$u1')
| ~ hole('hole$u1')
| ~ pigeon('pigeon$u3')
| ~ pigeon(X0)
| 'pigeon$u3' = X0
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d510,c31]) ).
cnf(d512,plain,
( ~ in(X0,'hole$u1')
| ~ hole('hole$u1')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = X0 ),
inference(resolution,[status(thm)],[c5,d511]) ).
cnf(d513,plain,
( ~ in(X0,'hole$u1')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = X0 ),
inference(resolution,[status(thm)],[c18,d512]) ).
cnf(d514,plain,
( ~ in(X0,'hole$u3')
| ~ hole('hole$u3')
| ~ pigeon('pigeon$u4')
| ~ pigeon(X0)
| 'pigeon$u4' = X0
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[d269,c31]) ).
cnf(d515,plain,
( ~ in(X0,'hole$u3')
| ~ hole('hole$u3')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u4' = X0 ),
inference(resolution,[status(thm)],[c6,d514]) ).
cnf(d516,plain,
( ~ in(X0,'hole$u3')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u4' = X0 ),
inference(resolution,[status(thm)],[c20,d515]) ).
cnf(d517,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u4' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[d516,d236]) ).
cnf(d518,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u4' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d517]) ).
cnf(d519,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[c17,d518]) ).
cnf(d520,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| in('pigeon$u5','hole$u2') ),
inference(superposition,[status(thm)],[d519,c30]) ).
cnf(d521,plain,
( in('pigeon$u5','hole$u2')
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[c7,d520]) ).
cnf(d522,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[d475,d521]) ).
cnf(d523,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d522]) ).
cnf(d524,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c11,d523]) ).
cnf(d525,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| in('pigeon$u5','hole$u1') ),
inference(superposition,[status(thm)],[d524,c30]) ).
cnf(d526,plain,
( in('pigeon$u5','hole$u1')
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c7,d525]) ).
cnf(d527,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[d513,d526]) ).
cnf(d528,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d527]) ).
cnf(d529,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c16,d528]) ).
cnf(d530,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u4')
| in('pigeon$u4','hole$u2') ),
inference(superposition,[status(thm)],[d529,c30]) ).
cnf(d531,plain,
( in('pigeon$u4','hole$u2')
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c6,d530]) ).
cnf(d532,plain,
( ~ pigeon('pigeon$u4')
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u4'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d531,d475]) ).
cnf(d533,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[c6,d532]) ).
cnf(d534,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c10,d533]) ).
cnf(d535,plain,
( 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u4')
| in('pigeon$u4','hole$u1') ),
inference(superposition,[status(thm)],[d534,c30]) ).
cnf(d536,plain,
( in('pigeon$u4','hole$u1')
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c6,d535]) ).
cnf(d537,plain,
( ~ pigeon('pigeon$u4')
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = 'pigeon$u4'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d536,d513]) ).
cnf(d538,plain,
( 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[c6,d537]) ).
cnf(d539,plain,
( 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c15,d538]) ).
cnf(d540,plain,
( 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u2')
| in('pigeon$u2','hole$u3') ),
inference(superposition,[status(thm)],[d539,c30]) ).
cnf(d541,plain,
( in('pigeon$u2','hole$u3')
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c4,d540]) ).
cnf(d542,plain,
( ~ in(X0,'hole$u3')
| ~ hole('hole$u3')
| ~ pigeon('pigeon$u2')
| ~ pigeon(X0)
| 'pigeon$u2' = X0
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d541,c31]) ).
cnf(d543,plain,
( ~ in(X0,'hole$u3')
| ~ hole('hole$u3')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = X0 ),
inference(resolution,[status(thm)],[c4,d542]) ).
cnf(d544,plain,
( ~ in(X0,'hole$u3')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = X0 ),
inference(resolution,[status(thm)],[c20,d543]) ).
cnf(d545,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[d544,d325]) ).
cnf(d546,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d545]) ).
cnf(d547,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c14,d546]) ).
cnf(d548,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| in('pigeon$u5','hole$u2') ),
inference(superposition,[status(thm)],[d547,c30]) ).
cnf(d549,plain,
( in('pigeon$u5','hole$u2')
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c7,d548]) ).
cnf(d550,plain,
( ~ pigeon('pigeon$u5')
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u5'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d549,d475]) ).
cnf(d551,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d550]) ).
cnf(d552,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c11,d551]) ).
cnf(d553,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| in('pigeon$u5','hole$u1') ),
inference(superposition,[status(thm)],[d552,c30]) ).
cnf(d554,plain,
( in('pigeon$u5','hole$u1')
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c7,d553]) ).
cnf(d555,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| ~ pigeon('pigeon$u4')
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[d544,d343]) ).
cnf(d556,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[c6,d555]) ).
cnf(d557,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c13,d556]) ).
cnf(d558,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u4')
| in('pigeon$u4','hole$u2') ),
inference(superposition,[status(thm)],[d557,c30]) ).
cnf(d559,plain,
( in('pigeon$u4','hole$u2')
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c6,d558]) ).
cnf(d560,plain,
( ~ pigeon('pigeon$u4')
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u4'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d559,d475]) ).
cnf(d561,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[c6,d560]) ).
cnf(d562,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c10,d561]) ).
cnf(d563,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u4')
| in('pigeon$u4','hole$u1') ),
inference(superposition,[status(thm)],[d562,c30]) ).
cnf(d564,plain,
( in('pigeon$u4','hole$u1')
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c6,d563]) ).
cnf(d565,plain,
( ~ in(X0,'hole$u1')
| ~ hole('hole$u1')
| ~ pigeon('pigeon$u4')
| ~ pigeon(X0)
| 'pigeon$u4' = X0
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d564,c31]) ).
cnf(d566,plain,
( ~ in(X0,'hole$u1')
| ~ hole('hole$u1')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u4' = X0 ),
inference(resolution,[status(thm)],[c6,d565]) ).
cnf(d567,plain,
( ~ in(X0,'hole$u1')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u4' = X0 ),
inference(resolution,[status(thm)],[c18,d566]) ).
cnf(d568,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u4' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[d567,d554]) ).
cnf(d569,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u4' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d568]) ).
cnf(d570,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c17,d569]) ).
cnf(d571,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u3')
| in('pigeon$u3','hole$u3') ),
inference(superposition,[status(thm)],[d570,c30]) ).
cnf(d572,plain,
( in('pigeon$u3','hole$u3')
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c5,d571]) ).
cnf(d573,plain,
( ~ pigeon('pigeon$u3')
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d572,d544]) ).
cnf(d574,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u3' ),
inference(resolution,[status(thm)],[c5,d573]) ).
cnf(d575,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c12,d574]) ).
cnf(d576,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u3')
| in('pigeon$u3','hole$u2') ),
inference(superposition,[status(thm)],[d575,c30]) ).
cnf(d577,plain,
( in('pigeon$u3','hole$u2')
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c5,d576]) ).
cnf(d578,plain,
( ~ pigeon('pigeon$u3')
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d577,d475]) ).
cnf(d579,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u3' ),
inference(resolution,[status(thm)],[c5,d578]) ).
cnf(d580,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c9,d579]) ).
cnf(d581,plain,
( 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u3')
| in('pigeon$u3','hole$u1') ),
inference(superposition,[status(thm)],[d580,c30]) ).
cnf(d582,plain,
( in('pigeon$u3','hole$u1')
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c5,d581]) ).
cnf(d583,plain,
( ~ in(X0,'hole$u1')
| ~ hole('hole$u1')
| ~ pigeon('pigeon$u3')
| ~ pigeon(X0)
| 'pigeon$u3' = X0
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d582,c31]) ).
cnf(d584,plain,
( ~ in(X0,'hole$u1')
| ~ hole('hole$u1')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = X0 ),
inference(resolution,[status(thm)],[c5,d583]) ).
cnf(d585,plain,
( ~ in(X0,'hole$u1')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = X0 ),
inference(resolution,[status(thm)],[c18,d584]) ).
cnf(d586,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[d544,d383]) ).
cnf(d587,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d586]) ).
cnf(d588,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c14,d587]) ).
cnf(d589,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| in('pigeon$u5','hole$u2') ),
inference(superposition,[status(thm)],[d588,c30]) ).
cnf(d590,plain,
( in('pigeon$u5','hole$u2')
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c7,d589]) ).
cnf(d591,plain,
( ~ pigeon('pigeon$u5')
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u5'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d590,d475]) ).
cnf(d592,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d591]) ).
cnf(d593,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c11,d592]) ).
cnf(d594,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| in('pigeon$u5','hole$u1') ),
inference(superposition,[status(thm)],[d593,c30]) ).
cnf(d595,plain,
( in('pigeon$u5','hole$u1')
| 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c7,d594]) ).
cnf(d596,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[d585,d595]) ).
cnf(d597,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d596]) ).
cnf(d598,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c16,d597]) ).
cnf(d599,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u4')
| in('pigeon$u4','hole$u3') ),
inference(superposition,[status(thm)],[d598,c30]) ).
cnf(d600,plain,
( in('pigeon$u4','hole$u3')
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c6,d599]) ).
cnf(d601,plain,
( ~ pigeon('pigeon$u4')
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u4'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d600,d544]) ).
cnf(d602,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[c6,d601]) ).
cnf(d603,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c13,d602]) ).
cnf(d604,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u4')
| in('pigeon$u4','hole$u2') ),
inference(superposition,[status(thm)],[d603,c30]) ).
cnf(d605,plain,
( in('pigeon$u4','hole$u2')
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c6,d604]) ).
cnf(d606,plain,
( ~ pigeon('pigeon$u4')
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u4'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d605,d475]) ).
cnf(d607,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[c6,d606]) ).
cnf(d608,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c10,d607]) ).
cnf(d609,plain,
( 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u4')
| in('pigeon$u4','hole$u1') ),
inference(superposition,[status(thm)],[d608,c30]) ).
cnf(d610,plain,
( in('pigeon$u4','hole$u1')
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c6,d609]) ).
cnf(d611,plain,
( ~ pigeon('pigeon$u4')
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = 'pigeon$u4'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d610,d585]) ).
cnf(d612,plain,
( 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[c6,d611]) ).
cnf(d613,plain,
( 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c15,d612]) ).
cnf(d614,plain,
( 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u2')
| in('pigeon$u2','hole$u2') ),
inference(superposition,[status(thm)],[d613,c30]) ).
cnf(d615,plain,
( in('pigeon$u2','hole$u2')
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c4,d614]) ).
cnf(d616,plain,
( ~ pigeon('pigeon$u2')
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d615,d475]) ).
cnf(d617,plain,
( 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u2' ),
inference(resolution,[status(thm)],[c4,d616]) ).
cnf(d618,plain,
( 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c8,d617]) ).
cnf(d619,plain,
( 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u2')
| in('pigeon$u2','hole$u1') ),
inference(superposition,[status(thm)],[d618,c30]) ).
cnf(d620,plain,
( in('pigeon$u2','hole$u1')
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c4,d619]) ).
cnf(d621,plain,
( ~ in(X0,'hole$u1')
| ~ hole('hole$u1')
| ~ pigeon('pigeon$u2')
| ~ pigeon(X0)
| 'pigeon$u2' = X0
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d620,c31]) ).
cnf(d622,plain,
( ~ in(X0,'hole$u1')
| ~ hole('hole$u1')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = X0 ),
inference(resolution,[status(thm)],[c4,d621]) ).
cnf(d623,plain,
( ~ in(X0,'hole$u1')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = X0 ),
inference(resolution,[status(thm)],[c18,d622]) ).
cnf(d624,plain,
( ~ in(X0,'hole$u3')
| ~ hole('hole$u3')
| ~ pigeon('pigeon$u4')
| ~ pigeon(X0)
| 'pigeon$u4' = X0
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1' ),
inference(resolution,[status(thm)],[d343,c31]) ).
cnf(d625,plain,
( ~ in(X0,'hole$u3')
| ~ hole('hole$u3')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'pigeon$u4' = X0 ),
inference(resolution,[status(thm)],[c6,d624]) ).
cnf(d626,plain,
( ~ in(X0,'hole$u3')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'pigeon$u4' = X0 ),
inference(resolution,[status(thm)],[c20,d625]) ).
cnf(d627,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'pigeon$u4' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[d626,d325]) ).
cnf(d628,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'pigeon$u4' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d627]) ).
cnf(d629,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1' ),
inference(resolution,[status(thm)],[c17,d628]) ).
cnf(d630,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| in('pigeon$u5','hole$u2') ),
inference(superposition,[status(thm)],[d629,c30]) ).
cnf(d631,plain,
( in('pigeon$u5','hole$u2')
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1' ),
inference(resolution,[status(thm)],[c7,d630]) ).
cnf(d632,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[d475,d631]) ).
cnf(d633,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d632]) ).
cnf(d634,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c11,d633]) ).
cnf(d635,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| in('pigeon$u5','hole$u1') ),
inference(superposition,[status(thm)],[d634,c30]) ).
cnf(d636,plain,
( in('pigeon$u5','hole$u1')
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c7,d635]) ).
cnf(d637,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[d623,d636]) ).
cnf(d638,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d637]) ).
cnf(d639,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c14,d638]) ).
cnf(d640,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u4')
| in('pigeon$u4','hole$u2') ),
inference(superposition,[status(thm)],[d639,c30]) ).
cnf(d641,plain,
( in('pigeon$u4','hole$u2')
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c6,d640]) ).
cnf(d642,plain,
( ~ pigeon('pigeon$u4')
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u4'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d641,d475]) ).
cnf(d643,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[c6,d642]) ).
cnf(d644,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c10,d643]) ).
cnf(d645,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u4')
| in('pigeon$u4','hole$u1') ),
inference(superposition,[status(thm)],[d644,c30]) ).
cnf(d646,plain,
( in('pigeon$u4','hole$u1')
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c6,d645]) ).
cnf(d647,plain,
( ~ pigeon('pigeon$u4')
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u4'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d646,d623]) ).
cnf(d648,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[c6,d647]) ).
cnf(d649,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c13,d648]) ).
cnf(d650,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u3')
| in('pigeon$u3','hole$u3') ),
inference(superposition,[status(thm)],[d649,c30]) ).
cnf(d651,plain,
( in('pigeon$u3','hole$u3')
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c5,d650]) ).
cnf(d652,plain,
( ~ in(X0,'hole$u3')
| ~ hole('hole$u3')
| ~ pigeon('pigeon$u3')
| ~ pigeon(X0)
| 'pigeon$u3' = X0
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d651,c31]) ).
cnf(d653,plain,
( ~ in(X0,'hole$u3')
| ~ hole('hole$u3')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = X0 ),
inference(resolution,[status(thm)],[c5,d652]) ).
cnf(d654,plain,
( ~ in(X0,'hole$u3')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = X0 ),
inference(resolution,[status(thm)],[c20,d653]) ).
cnf(d655,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[d654,d383]) ).
cnf(d656,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d655]) ).
cnf(d657,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c16,d656]) ).
cnf(d658,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| in('pigeon$u5','hole$u2') ),
inference(superposition,[status(thm)],[d657,c30]) ).
cnf(d659,plain,
( in('pigeon$u5','hole$u2')
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c7,d658]) ).
cnf(d660,plain,
( ~ pigeon('pigeon$u5')
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u5'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d659,d475]) ).
cnf(d661,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d660]) ).
cnf(d662,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c11,d661]) ).
cnf(d663,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| in('pigeon$u5','hole$u1') ),
inference(superposition,[status(thm)],[d662,c30]) ).
cnf(d664,plain,
( in('pigeon$u5','hole$u1')
| 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c7,d663]) ).
cnf(d665,plain,
( ~ pigeon('pigeon$u5')
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u5'
| 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d664,d623]) ).
cnf(d666,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d665]) ).
cnf(d667,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c14,d666]) ).
cnf(d668,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u4')
| in('pigeon$u4','hole$u3') ),
inference(superposition,[status(thm)],[d667,c30]) ).
cnf(d669,plain,
( in('pigeon$u4','hole$u3')
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c6,d668]) ).
cnf(d670,plain,
( ~ pigeon('pigeon$u4')
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = 'pigeon$u4'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d669,d654]) ).
cnf(d671,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u3' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[c6,d670]) ).
cnf(d672,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c15,d671]) ).
cnf(d673,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u4')
| in('pigeon$u4','hole$u2') ),
inference(superposition,[status(thm)],[d672,c30]) ).
cnf(d674,plain,
( in('pigeon$u4','hole$u2')
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c6,d673]) ).
cnf(d675,plain,
( ~ pigeon('pigeon$u4')
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u4'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d674,d475]) ).
cnf(d676,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[c6,d675]) ).
cnf(d677,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c10,d676]) ).
cnf(d678,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u4')
| in('pigeon$u4','hole$u1') ),
inference(superposition,[status(thm)],[d677,c30]) ).
cnf(d679,plain,
( in('pigeon$u4','hole$u1')
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c6,d678]) ).
cnf(d680,plain,
( ~ pigeon('pigeon$u4')
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u4'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d679,d623]) ).
cnf(d681,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[c6,d680]) ).
cnf(d682,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c13,d681]) ).
cnf(d683,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u3')
| in('pigeon$u3','hole$u2') ),
inference(superposition,[status(thm)],[d682,c30]) ).
cnf(d684,plain,
( in('pigeon$u3','hole$u2')
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c5,d683]) ).
cnf(d685,plain,
( ~ pigeon('pigeon$u3')
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d684,d475]) ).
cnf(d686,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u3' ),
inference(resolution,[status(thm)],[c5,d685]) ).
cnf(d687,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c9,d686]) ).
cnf(d688,plain,
( 'hole$uof'('pigeon$u1') = 'hole$u1'
| ~ pigeon('pigeon$u3')
| in('pigeon$u3','hole$u1') ),
inference(superposition,[status(thm)],[d687,c30]) ).
cnf(d689,plain,
( in('pigeon$u3','hole$u1')
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[c5,d688]) ).
cnf(d690,plain,
( ~ pigeon('pigeon$u3')
| 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u3'
| 'hole$uof'('pigeon$u1') = 'hole$u1' ),
inference(resolution,[status(thm)],[d689,d623]) ).
cnf(d691,plain,
( 'hole$uof'('pigeon$u1') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u3' ),
inference(resolution,[status(thm)],[c5,d690]) ).
cnf(d692,plain,
'hole$uof'('pigeon$u1') = 'hole$u1',
inference(resolution,[status(thm)],[c12,d691]) ).
cnf(d693,plain,
( ~ pigeon('pigeon$u1')
| in('pigeon$u1','hole$u1') ),
inference(superposition,[status(thm)],[d692,c30]) ).
cnf(d694,plain,
in('pigeon$u1','hole$u1'),
inference(resolution,[status(thm)],[c3,d693]) ).
cnf(d695,plain,
( ~ in(X0,'hole$u1')
| ~ hole('hole$u1')
| ~ pigeon('pigeon$u1')
| ~ pigeon(X0)
| 'pigeon$u1' = X0 ),
inference(resolution,[status(thm)],[d694,c31]) ).
cnf(d696,plain,
( ~ in(X0,'hole$u1')
| ~ hole('hole$u1')
| ~ pigeon(X0)
| 'pigeon$u1' = X0 ),
inference(resolution,[status(thm)],[c3,d695]) ).
cnf(d697,plain,
( ~ in(X0,'hole$u1')
| ~ pigeon(X0)
| 'pigeon$u1' = X0 ),
inference(resolution,[status(thm)],[c18,d696]) ).
cnf(d698,plain,
( ~ in(X0,'hole$u2')
| ~ hole('hole$u2')
| ~ pigeon('pigeon$u4')
| ~ pigeon(X0)
| 'pigeon$u4' = X0
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[d493,c31]) ).
cnf(d699,plain,
( ~ in(X0,'hole$u2')
| ~ hole('hole$u2')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u4' = X0 ),
inference(resolution,[status(thm)],[c6,d698]) ).
cnf(d700,plain,
( ~ in(X0,'hole$u2')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u4' = X0 ),
inference(resolution,[status(thm)],[c19,d699]) ).
cnf(d701,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u4' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[d700,d483]) ).
cnf(d702,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u4' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d701]) ).
cnf(d703,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[c17,d702]) ).
cnf(d704,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| in('pigeon$u5','hole$u1') ),
inference(superposition,[status(thm)],[d703,c30]) ).
cnf(d705,plain,
( in('pigeon$u5','hole$u1')
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[c7,d704]) ).
cnf(d706,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| 'pigeon$u1' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[d697,d705]) ).
cnf(d707,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d706]) ).
cnf(d708,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[c11,d707]) ).
cnf(d709,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| ~ pigeon('pigeon$u4')
| in('pigeon$u4','hole$u1') ),
inference(superposition,[status(thm)],[d708,c30]) ).
cnf(d710,plain,
( in('pigeon$u4','hole$u1')
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[c6,d709]) ).
cnf(d711,plain,
( ~ pigeon('pigeon$u4')
| 'pigeon$u1' = 'pigeon$u4'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[d710,d697]) ).
cnf(d712,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[c6,d711]) ).
cnf(d713,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[c10,d712]) ).
cnf(d714,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| ~ pigeon('pigeon$u3')
| in('pigeon$u3','hole$u2') ),
inference(superposition,[status(thm)],[d713,c30]) ).
cnf(d715,plain,
( in('pigeon$u3','hole$u2')
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[c5,d714]) ).
cnf(d716,plain,
( ~ in(X0,'hole$u2')
| ~ hole('hole$u2')
| ~ pigeon('pigeon$u3')
| ~ pigeon(X0)
| 'pigeon$u3' = X0
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[d715,c31]) ).
cnf(d717,plain,
( ~ in(X0,'hole$u2')
| ~ hole('hole$u2')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u3' = X0 ),
inference(resolution,[status(thm)],[c5,d716]) ).
cnf(d718,plain,
( ~ in(X0,'hole$u2')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u3' = X0 ),
inference(resolution,[status(thm)],[c19,d717]) ).
cnf(d719,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u3' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[d718,d521]) ).
cnf(d720,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u3' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d719]) ).
cnf(d721,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[c16,d720]) ).
cnf(d722,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| in('pigeon$u5','hole$u1') ),
inference(superposition,[status(thm)],[d721,c30]) ).
cnf(d723,plain,
( in('pigeon$u5','hole$u1')
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[c7,d722]) ).
cnf(d724,plain,
( ~ pigeon('pigeon$u5')
| 'pigeon$u1' = 'pigeon$u5'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[d723,d697]) ).
cnf(d725,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d724]) ).
cnf(d726,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[c11,d725]) ).
cnf(d727,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| ~ pigeon('pigeon$u4')
| in('pigeon$u4','hole$u2') ),
inference(superposition,[status(thm)],[d726,c30]) ).
cnf(d728,plain,
( in('pigeon$u4','hole$u2')
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[c6,d727]) ).
cnf(d729,plain,
( ~ pigeon('pigeon$u4')
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u3' = 'pigeon$u4'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[d728,d718]) ).
cnf(d730,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u3' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[c6,d729]) ).
cnf(d731,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[c15,d730]) ).
cnf(d732,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| ~ pigeon('pigeon$u4')
| in('pigeon$u4','hole$u1') ),
inference(superposition,[status(thm)],[d731,c30]) ).
cnf(d733,plain,
( in('pigeon$u4','hole$u1')
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[c6,d732]) ).
cnf(d734,plain,
( ~ pigeon('pigeon$u4')
| 'pigeon$u1' = 'pigeon$u4'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[d733,d697]) ).
cnf(d735,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[c6,d734]) ).
cnf(d736,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[c10,d735]) ).
cnf(d737,plain,
( 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| ~ pigeon('pigeon$u3')
| in('pigeon$u3','hole$u1') ),
inference(superposition,[status(thm)],[d736,c30]) ).
cnf(d738,plain,
( in('pigeon$u3','hole$u1')
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[c5,d737]) ).
cnf(d739,plain,
( ~ pigeon('pigeon$u3')
| 'pigeon$u1' = 'pigeon$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[d738,d697]) ).
cnf(d740,plain,
( 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u3' ),
inference(resolution,[status(thm)],[c5,d739]) ).
cnf(d741,plain,
( 'hole$uof'('pigeon$u2') = 'hole$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[c9,d740]) ).
cnf(d742,plain,
( 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| ~ pigeon('pigeon$u2')
| in('pigeon$u2','hole$u3') ),
inference(superposition,[status(thm)],[d741,c30]) ).
cnf(d743,plain,
( in('pigeon$u2','hole$u3')
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[c4,d742]) ).
cnf(d744,plain,
( ~ in(X0,'hole$u3')
| ~ hole('hole$u3')
| ~ pigeon('pigeon$u2')
| ~ pigeon(X0)
| 'pigeon$u2' = X0
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[d743,c31]) ).
cnf(d745,plain,
( ~ in(X0,'hole$u3')
| ~ hole('hole$u3')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u2' = X0 ),
inference(resolution,[status(thm)],[c4,d744]) ).
cnf(d746,plain,
( ~ in(X0,'hole$u3')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u2' = X0 ),
inference(resolution,[status(thm)],[c20,d745]) ).
cnf(d747,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[d746,d325]) ).
cnf(d748,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d747]) ).
cnf(d749,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[c14,d748]) ).
cnf(d750,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| in('pigeon$u5','hole$u2') ),
inference(superposition,[status(thm)],[d749,c30]) ).
cnf(d751,plain,
( in('pigeon$u5','hole$u2')
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[c7,d750]) ).
cnf(d752,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| ~ pigeon('pigeon$u4')
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[d746,d343]) ).
cnf(d753,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[c6,d752]) ).
cnf(d754,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[c13,d753]) ).
cnf(d755,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| ~ pigeon('pigeon$u4')
| in('pigeon$u4','hole$u2') ),
inference(superposition,[status(thm)],[d754,c30]) ).
cnf(d756,plain,
( in('pigeon$u4','hole$u2')
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[c6,d755]) ).
cnf(d757,plain,
( ~ in(X0,'hole$u2')
| ~ hole('hole$u2')
| ~ pigeon('pigeon$u4')
| ~ pigeon(X0)
| 'pigeon$u4' = X0
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[d756,c31]) ).
cnf(d758,plain,
( ~ in(X0,'hole$u2')
| ~ hole('hole$u2')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u4' = X0 ),
inference(resolution,[status(thm)],[c6,d757]) ).
cnf(d759,plain,
( ~ in(X0,'hole$u2')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u4' = X0 ),
inference(resolution,[status(thm)],[c19,d758]) ).
cnf(d760,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u4' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[d759,d751]) ).
cnf(d761,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u4' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d760]) ).
cnf(d762,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[c17,d761]) ).
cnf(d763,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| in('pigeon$u5','hole$u1') ),
inference(superposition,[status(thm)],[d762,c30]) ).
cnf(d764,plain,
( in('pigeon$u5','hole$u1')
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[c7,d763]) ).
cnf(d765,plain,
( ~ pigeon('pigeon$u5')
| 'pigeon$u1' = 'pigeon$u5'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[d764,d697]) ).
cnf(d766,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d765]) ).
cnf(d767,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[c11,d766]) ).
cnf(d768,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| ~ pigeon('pigeon$u4')
| in('pigeon$u4','hole$u1') ),
inference(superposition,[status(thm)],[d767,c30]) ).
cnf(d769,plain,
( in('pigeon$u4','hole$u1')
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[c6,d768]) ).
cnf(d770,plain,
( ~ pigeon('pigeon$u4')
| 'pigeon$u1' = 'pigeon$u4'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[d769,d697]) ).
cnf(d771,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[c6,d770]) ).
cnf(d772,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[c10,d771]) ).
cnf(d773,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| ~ pigeon('pigeon$u3')
| in('pigeon$u3','hole$u3') ),
inference(superposition,[status(thm)],[d772,c30]) ).
cnf(d774,plain,
( in('pigeon$u3','hole$u3')
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[c5,d773]) ).
cnf(d775,plain,
( ~ pigeon('pigeon$u3')
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[d774,d746]) ).
cnf(d776,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u3' ),
inference(resolution,[status(thm)],[c5,d775]) ).
cnf(d777,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[c12,d776]) ).
cnf(d778,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| ~ pigeon('pigeon$u3')
| in('pigeon$u3','hole$u2') ),
inference(superposition,[status(thm)],[d777,c30]) ).
cnf(d779,plain,
( in('pigeon$u3','hole$u2')
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[c5,d778]) ).
cnf(d780,plain,
( ~ in(X0,'hole$u2')
| ~ hole('hole$u2')
| ~ pigeon('pigeon$u3')
| ~ pigeon(X0)
| 'pigeon$u3' = X0
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[d779,c31]) ).
cnf(d781,plain,
( ~ in(X0,'hole$u2')
| ~ hole('hole$u2')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u3' = X0 ),
inference(resolution,[status(thm)],[c5,d780]) ).
cnf(d782,plain,
( ~ in(X0,'hole$u2')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u3' = X0 ),
inference(resolution,[status(thm)],[c19,d781]) ).
cnf(d783,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[d746,d383]) ).
cnf(d784,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d783]) ).
cnf(d785,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[c14,d784]) ).
cnf(d786,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| in('pigeon$u5','hole$u2') ),
inference(superposition,[status(thm)],[d785,c30]) ).
cnf(d787,plain,
( in('pigeon$u5','hole$u2')
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[c7,d786]) ).
cnf(d788,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u3' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[d782,d787]) ).
cnf(d789,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u3' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d788]) ).
cnf(d790,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[c16,d789]) ).
cnf(d791,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| in('pigeon$u5','hole$u1') ),
inference(superposition,[status(thm)],[d790,c30]) ).
cnf(d792,plain,
( in('pigeon$u5','hole$u1')
| 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[c7,d791]) ).
cnf(d793,plain,
( ~ pigeon('pigeon$u5')
| 'pigeon$u1' = 'pigeon$u5'
| 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[d792,d697]) ).
cnf(d794,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d793]) ).
cnf(d795,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[c11,d794]) ).
cnf(d796,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| ~ pigeon('pigeon$u4')
| in('pigeon$u4','hole$u3') ),
inference(superposition,[status(thm)],[d795,c30]) ).
cnf(d797,plain,
( in('pigeon$u4','hole$u3')
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[c6,d796]) ).
cnf(d798,plain,
( ~ pigeon('pigeon$u4')
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u4'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[d797,d746]) ).
cnf(d799,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[c6,d798]) ).
cnf(d800,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[c13,d799]) ).
cnf(d801,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| ~ pigeon('pigeon$u4')
| in('pigeon$u4','hole$u2') ),
inference(superposition,[status(thm)],[d800,c30]) ).
cnf(d802,plain,
( in('pigeon$u4','hole$u2')
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[c6,d801]) ).
cnf(d803,plain,
( ~ pigeon('pigeon$u4')
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u3' = 'pigeon$u4'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[d802,d782]) ).
cnf(d804,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u3' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[c6,d803]) ).
cnf(d805,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[c15,d804]) ).
cnf(d806,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| ~ pigeon('pigeon$u4')
| in('pigeon$u4','hole$u1') ),
inference(superposition,[status(thm)],[d805,c30]) ).
cnf(d807,plain,
( in('pigeon$u4','hole$u1')
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[c6,d806]) ).
cnf(d808,plain,
( ~ pigeon('pigeon$u4')
| 'pigeon$u1' = 'pigeon$u4'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[d807,d697]) ).
cnf(d809,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[c6,d808]) ).
cnf(d810,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[c10,d809]) ).
cnf(d811,plain,
( 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| ~ pigeon('pigeon$u3')
| in('pigeon$u3','hole$u1') ),
inference(superposition,[status(thm)],[d810,c30]) ).
cnf(d812,plain,
( in('pigeon$u3','hole$u1')
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[c5,d811]) ).
cnf(d813,plain,
( ~ pigeon('pigeon$u3')
| 'pigeon$u1' = 'pigeon$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[d812,d697]) ).
cnf(d814,plain,
( 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u3' ),
inference(resolution,[status(thm)],[c5,d813]) ).
cnf(d815,plain,
( 'hole$uof'('pigeon$u2') = 'hole$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[c9,d814]) ).
cnf(d816,plain,
( 'hole$uof'('pigeon$u2') = 'hole$u1'
| ~ pigeon('pigeon$u2')
| in('pigeon$u2','hole$u2') ),
inference(superposition,[status(thm)],[d815,c30]) ).
cnf(d817,plain,
( in('pigeon$u2','hole$u2')
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[c4,d816]) ).
cnf(d818,plain,
( ~ in(X0,'hole$u2')
| ~ hole('hole$u2')
| ~ pigeon('pigeon$u2')
| ~ pigeon(X0)
| 'pigeon$u2' = X0
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[d817,c31]) ).
cnf(d819,plain,
( ~ in(X0,'hole$u2')
| ~ hole('hole$u2')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u2' = X0 ),
inference(resolution,[status(thm)],[c4,d818]) ).
cnf(d820,plain,
( ~ in(X0,'hole$u2')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u2' = X0 ),
inference(resolution,[status(thm)],[c19,d819]) ).
cnf(d821,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[d820,d631]) ).
cnf(d822,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d821]) ).
cnf(d823,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[c14,d822]) ).
cnf(d824,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| in('pigeon$u5','hole$u1') ),
inference(superposition,[status(thm)],[d823,c30]) ).
cnf(d825,plain,
( in('pigeon$u5','hole$u1')
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[c7,d824]) ).
cnf(d826,plain,
( ~ pigeon('pigeon$u5')
| 'pigeon$u1' = 'pigeon$u5'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[d825,d697]) ).
cnf(d827,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d826]) ).
cnf(d828,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[c11,d827]) ).
cnf(d829,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| ~ pigeon('pigeon$u4')
| in('pigeon$u4','hole$u2') ),
inference(superposition,[status(thm)],[d828,c30]) ).
cnf(d830,plain,
( in('pigeon$u4','hole$u2')
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[c6,d829]) ).
cnf(d831,plain,
( ~ pigeon('pigeon$u4')
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u4'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[d830,d820]) ).
cnf(d832,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[c6,d831]) ).
cnf(d833,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[c13,d832]) ).
cnf(d834,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| ~ pigeon('pigeon$u4')
| in('pigeon$u4','hole$u1') ),
inference(superposition,[status(thm)],[d833,c30]) ).
cnf(d835,plain,
( in('pigeon$u4','hole$u1')
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[c6,d834]) ).
cnf(d836,plain,
( ~ pigeon('pigeon$u4')
| 'pigeon$u1' = 'pigeon$u4'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[d835,d697]) ).
cnf(d837,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u1' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[c6,d836]) ).
cnf(d838,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[c10,d837]) ).
cnf(d839,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| ~ pigeon('pigeon$u3')
| in('pigeon$u3','hole$u3') ),
inference(superposition,[status(thm)],[d838,c30]) ).
cnf(d840,plain,
( in('pigeon$u3','hole$u3')
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[c5,d839]) ).
cnf(d841,plain,
( ~ in(X0,'hole$u3')
| ~ hole('hole$u3')
| ~ pigeon('pigeon$u3')
| ~ pigeon(X0)
| 'pigeon$u3' = X0
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[d840,c31]) ).
cnf(d842,plain,
( ~ in(X0,'hole$u3')
| ~ hole('hole$u3')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u3' = X0 ),
inference(resolution,[status(thm)],[c5,d841]) ).
cnf(d843,plain,
( ~ in(X0,'hole$u3')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u3' = X0 ),
inference(resolution,[status(thm)],[c20,d842]) ).
cnf(d844,plain,
( ~ in(X0,'hole$u2')
| ~ hole('hole$u2')
| ~ pigeon('pigeon$u5')
| ~ pigeon(X0)
| 'pigeon$u5' = X0
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1' ),
inference(resolution,[status(thm)],[d631,c31]) ).
cnf(d845,plain,
( ~ in(X0,'hole$u2')
| ~ hole('hole$u2')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'pigeon$u5' = X0 ),
inference(resolution,[status(thm)],[c7,d844]) ).
cnf(d846,plain,
( ~ in(X0,'hole$u2')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'pigeon$u5' = X0 ),
inference(resolution,[status(thm)],[c19,d845]) ).
cnf(d847,plain,
( ~ pigeon('pigeon$u2')
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'pigeon$u5' = 'pigeon$u2'
| 'hole$uof'('pigeon$u2') = 'hole$u1' ),
inference(resolution,[status(thm)],[d817,d846]) ).
cnf(d848,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u5' = 'pigeon$u2' ),
inference(resolution,[status(thm)],[c4,d847]) ).
cnf(d849,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u5' = 'pigeon$u2'
| ~ pigeon('pigeon$u5')
| in('pigeon$u5','hole$u1') ),
inference(superposition,[status(thm)],[d848,c30]) ).
cnf(d850,plain,
( in('pigeon$u5','hole$u1')
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u5' = 'pigeon$u2' ),
inference(resolution,[status(thm)],[c7,d849]) ).
cnf(d851,plain,
( ~ pigeon('pigeon$u5')
| 'pigeon$u1' = 'pigeon$u5'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u5' = 'pigeon$u2' ),
inference(resolution,[status(thm)],[d850,d697]) ).
cnf(d852,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u5' = 'pigeon$u2'
| 'pigeon$u1' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d851]) ).
cnf(d853,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u5' = 'pigeon$u2' ),
inference(resolution,[status(thm)],[c11,d852]) ).
cnf(d854,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u5' = 'pigeon$u2'
| ~ pigeon('pigeon$u4')
| in('pigeon$u4','hole$u2') ),
inference(superposition,[status(thm)],[d853,c30]) ).
cnf(d855,plain,
( in('pigeon$u4','hole$u2')
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u5' = 'pigeon$u2' ),
inference(resolution,[status(thm)],[c6,d854]) ).
cnf(d856,plain,
( ~ pigeon('pigeon$u4')
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u4'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u5' = 'pigeon$u2' ),
inference(resolution,[status(thm)],[d855,d820]) ).
cnf(d857,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u5' = 'pigeon$u2'
| 'pigeon$u2' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[c6,d856]) ).
cnf(d858,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u5' = 'pigeon$u2' ),
inference(resolution,[status(thm)],[c13,d857]) ).
cnf(d859,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u5' = 'pigeon$u2'
| ~ pigeon('pigeon$u4')
| in('pigeon$u4','hole$u1') ),
inference(superposition,[status(thm)],[d858,c30]) ).
cnf(d860,plain,
( in('pigeon$u4','hole$u1')
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u5' = 'pigeon$u2' ),
inference(resolution,[status(thm)],[c6,d859]) ).
cnf(d861,plain,
( ~ pigeon('pigeon$u4')
| 'pigeon$u1' = 'pigeon$u4'
| 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u5' = 'pigeon$u2' ),
inference(resolution,[status(thm)],[d860,d697]) ).
cnf(d862,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u5' = 'pigeon$u2'
| 'pigeon$u1' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[c6,d861]) ).
cnf(d863,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u5' = 'pigeon$u2' ),
inference(resolution,[status(thm)],[c10,d862]) ).
cnf(d864,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u5' = 'pigeon$u2'
| ~ pigeon('pigeon$u3')
| in('pigeon$u3','hole$u3') ),
inference(superposition,[status(thm)],[d863,c30]) ).
cnf(d865,plain,
( in('pigeon$u3','hole$u3')
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u5' = 'pigeon$u2' ),
inference(resolution,[status(thm)],[c5,d864]) ).
cnf(d866,plain,
( ~ in(X0,'hole$u3')
| ~ hole('hole$u3')
| ~ pigeon('pigeon$u3')
| ~ pigeon(X0)
| 'pigeon$u3' = X0
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u5' = 'pigeon$u2' ),
inference(resolution,[status(thm)],[d865,c31]) ).
cnf(d867,plain,
( ~ in(X0,'hole$u3')
| ~ hole('hole$u3')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u5' = 'pigeon$u2'
| 'pigeon$u3' = X0 ),
inference(resolution,[status(thm)],[c5,d866]) ).
cnf(d868,plain,
( ~ in(X0,'hole$u3')
| ~ pigeon(X0)
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u5' = 'pigeon$u2'
| 'pigeon$u3' = X0 ),
inference(resolution,[status(thm)],[c20,d867]) ).
cnf(d869,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| ~ pigeon('pigeon$u5')
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u5' = 'pigeon$u2'
| 'pigeon$u3' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[d868,d383]) ).
cnf(d870,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u5' = 'pigeon$u2'
| 'pigeon$u3' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d869]) ).
cnf(d871,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u2'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u5' = 'pigeon$u2' ),
inference(resolution,[status(thm)],[c16,d870]) ).
cnf(d872,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u5' = 'pigeon$u2'
| ~ pigeon('pigeon$u5')
| in('pigeon$u5','hole$u2') ),
inference(superposition,[status(thm)],[d871,c30]) ).
cnf(d873,plain,
( in('pigeon$u5','hole$u2')
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u5' = 'pigeon$u2' ),
inference(resolution,[status(thm)],[c7,d872]) ).
cnf(d874,plain,
( ~ pigeon('pigeon$u5')
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u5'
| 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u5' = 'pigeon$u2' ),
inference(resolution,[status(thm)],[d873,d820]) ).
cnf(d875,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u5' = 'pigeon$u2'
| 'pigeon$u2' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d874]) ).
cnf(d876,plain,
( 'hole$uof'('pigeon$u5') = 'hole$u1'
| 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u5' = 'pigeon$u2' ),
inference(resolution,[status(thm)],[c14,d875]) ).
cnf(d877,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u5' = 'pigeon$u2'
| ~ pigeon('pigeon$u5')
| in('pigeon$u5','hole$u1') ),
inference(superposition,[status(thm)],[d876,c30]) ).
cnf(d878,plain,
( in('pigeon$u5','hole$u1')
| 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u5' = 'pigeon$u2' ),
inference(resolution,[status(thm)],[c7,d877]) ).
cnf(d879,plain,
( ~ pigeon('pigeon$u5')
| 'pigeon$u1' = 'pigeon$u5'
| 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u5' = 'pigeon$u2' ),
inference(resolution,[status(thm)],[d878,d697]) ).
cnf(d880,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u5' = 'pigeon$u2'
| 'pigeon$u1' = 'pigeon$u5' ),
inference(resolution,[status(thm)],[c7,d879]) ).
cnf(d881,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u3'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u5' = 'pigeon$u2' ),
inference(resolution,[status(thm)],[c11,d880]) ).
cnf(d882,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u5' = 'pigeon$u2'
| ~ pigeon('pigeon$u4')
| in('pigeon$u4','hole$u3') ),
inference(superposition,[status(thm)],[d881,c30]) ).
cnf(d883,plain,
( in('pigeon$u4','hole$u3')
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u5' = 'pigeon$u2' ),
inference(resolution,[status(thm)],[c6,d882]) ).
cnf(d884,plain,
( ~ pigeon('pigeon$u4')
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u3' = 'pigeon$u4'
| 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u5' = 'pigeon$u2' ),
inference(resolution,[status(thm)],[d883,d843]) ).
cnf(d885,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u5' = 'pigeon$u2'
| 'pigeon$u3' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[c6,d884]) ).
cnf(d886,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u2'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u5' = 'pigeon$u2' ),
inference(resolution,[status(thm)],[c15,d885]) ).
cnf(d887,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u5' = 'pigeon$u2'
| ~ pigeon('pigeon$u4')
| in('pigeon$u4','hole$u2') ),
inference(superposition,[status(thm)],[d886,c30]) ).
cnf(d888,plain,
( in('pigeon$u4','hole$u2')
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u5' = 'pigeon$u2' ),
inference(resolution,[status(thm)],[c6,d887]) ).
cnf(d889,plain,
( ~ pigeon('pigeon$u4')
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u4'
| 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u5' = 'pigeon$u2' ),
inference(resolution,[status(thm)],[d888,d820]) ).
cnf(d890,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u5' = 'pigeon$u2'
| 'pigeon$u2' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[c6,d889]) ).
cnf(d891,plain,
( 'hole$uof'('pigeon$u4') = 'hole$u1'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u5' = 'pigeon$u2' ),
inference(resolution,[status(thm)],[c13,d890]) ).
cnf(d892,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u5' = 'pigeon$u2'
| ~ pigeon('pigeon$u4')
| in('pigeon$u4','hole$u1') ),
inference(superposition,[status(thm)],[d891,c30]) ).
cnf(d893,plain,
( in('pigeon$u4','hole$u1')
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u5' = 'pigeon$u2' ),
inference(resolution,[status(thm)],[c6,d892]) ).
cnf(d894,plain,
( ~ pigeon('pigeon$u4')
| 'pigeon$u1' = 'pigeon$u4'
| 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u5' = 'pigeon$u2' ),
inference(resolution,[status(thm)],[d893,d697]) ).
cnf(d895,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u5' = 'pigeon$u2'
| 'pigeon$u1' = 'pigeon$u4' ),
inference(resolution,[status(thm)],[c6,d894]) ).
cnf(d896,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u2'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u5' = 'pigeon$u2' ),
inference(resolution,[status(thm)],[c10,d895]) ).
cnf(d897,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u5' = 'pigeon$u2'
| ~ pigeon('pigeon$u3')
| in('pigeon$u3','hole$u2') ),
inference(superposition,[status(thm)],[d896,c30]) ).
cnf(d898,plain,
( in('pigeon$u3','hole$u2')
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u5' = 'pigeon$u2' ),
inference(resolution,[status(thm)],[c5,d897]) ).
cnf(d899,plain,
( ~ pigeon('pigeon$u3')
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u2' = 'pigeon$u3'
| 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u5' = 'pigeon$u2' ),
inference(resolution,[status(thm)],[d898,d820]) ).
cnf(d900,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u5' = 'pigeon$u2'
| 'pigeon$u2' = 'pigeon$u3' ),
inference(resolution,[status(thm)],[c5,d899]) ).
cnf(d901,plain,
( 'hole$uof'('pigeon$u3') = 'hole$u1'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u5' = 'pigeon$u2' ),
inference(resolution,[status(thm)],[c12,d900]) ).
cnf(d902,plain,
( 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u5' = 'pigeon$u2'
| ~ pigeon('pigeon$u3')
| in('pigeon$u3','hole$u1') ),
inference(superposition,[status(thm)],[d901,c30]) ).
cnf(d903,plain,
( in('pigeon$u3','hole$u1')
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u5' = 'pigeon$u2' ),
inference(resolution,[status(thm)],[c5,d902]) ).
cnf(d904,plain,
( ~ pigeon('pigeon$u3')
| 'pigeon$u1' = 'pigeon$u3'
| 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u5' = 'pigeon$u2' ),
inference(resolution,[status(thm)],[d903,d697]) ).
cnf(d905,plain,
( 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u5' = 'pigeon$u2'
| 'pigeon$u1' = 'pigeon$u3' ),
inference(resolution,[status(thm)],[c5,d904]) ).
cnf(d906,plain,
( 'hole$uof'('pigeon$u2') = 'hole$u1'
| 'pigeon$u5' = 'pigeon$u2' ),
inference(resolution,[status(thm)],[c9,d905]) ).
cnf(d907,plain,
( 'pigeon$u5' = 'pigeon$u2'
| ~ pigeon('pigeon$u2')
| in('pigeon$u2','hole$u1') ),
inference(superposition,[status(thm)],[d906,c30]) ).
cnf(d908,plain,
( in('pigeon$u2','hole$u1')
| 'pigeon$u5' = 'pigeon$u2' ),
inference(resolution,[status(thm)],[c4,d907]) ).
cnf(d909,plain,
( ~ pigeon('pigeon$u2')
| 'pigeon$u1' = 'pigeon$u2'
| 'pigeon$u5' = 'pigeon$u2' ),
inference(resolution,[status(thm)],[d908,d697]) ).
cnf(d910,plain,
( 'pigeon$u5' = 'pigeon$u2'
| 'pigeon$u1' = 'pigeon$u2' ),
inference(resolution,[status(thm)],[c4,d909]) ).
cnf(d911,plain,
'pigeon$u5' = 'pigeon$u2',
inference(resolution,[status(thm)],[c8,d910]) ).
cnf(d912,plain,
'pigeon$u2' != 'pigeon$u2',
inference(demodulation,[status(thm)],[c14,d911]) ).
cnf(d913,plain,
$false,
inference(equality_resolution,[status(thm)],[d912]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MSC007-2.005 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n026.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sat Sep 26 00:17:42 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 29.20/4.79 % SZS status Unsatisfiable for theBenchmark.p
% 29.20/4.79 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------