%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : MSC007-1.008 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n012.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 : Fri Sep 25 02:13:56 PM UTC 2026
% Result : Unsatisfiable 0.17s 11.18s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 204
% Syntax : Number of formulae : 409 ( 1 unt; 0 def)
% Number of atoms : 897 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 1272 ( 784 ~; 488 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 57 ( 56 usr; 57 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( pigeon_1_in_hole_7
| pigeon_1_in_hole_6
| pigeon_1_in_hole_5
| pigeon_1_in_hole_4
| pigeon_1_in_hole_3
| pigeon_1_in_hole_2
| pigeon_1_in_hole_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pigeon_1) ).
fof(f2,negated_conjecture,
( pigeon_2_in_hole_7
| pigeon_2_in_hole_6
| pigeon_2_in_hole_5
| pigeon_2_in_hole_4
| pigeon_2_in_hole_3
| pigeon_2_in_hole_2
| pigeon_2_in_hole_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pigeon_2) ).
fof(f3,negated_conjecture,
( pigeon_3_in_hole_7
| pigeon_3_in_hole_6
| pigeon_3_in_hole_5
| pigeon_3_in_hole_4
| pigeon_3_in_hole_3
| pigeon_3_in_hole_2
| pigeon_3_in_hole_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pigeon_3) ).
fof(f4,negated_conjecture,
( pigeon_4_in_hole_7
| pigeon_4_in_hole_6
| pigeon_4_in_hole_5
| pigeon_4_in_hole_4
| pigeon_4_in_hole_3
| pigeon_4_in_hole_2
| pigeon_4_in_hole_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pigeon_4) ).
fof(f5,negated_conjecture,
( pigeon_5_in_hole_7
| pigeon_5_in_hole_6
| pigeon_5_in_hole_5
| pigeon_5_in_hole_4
| pigeon_5_in_hole_3
| pigeon_5_in_hole_2
| pigeon_5_in_hole_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pigeon_5) ).
fof(f6,negated_conjecture,
( pigeon_6_in_hole_7
| pigeon_6_in_hole_6
| pigeon_6_in_hole_5
| pigeon_6_in_hole_4
| pigeon_6_in_hole_3
| pigeon_6_in_hole_2
| pigeon_6_in_hole_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pigeon_6) ).
fof(f7,negated_conjecture,
( pigeon_7_in_hole_7
| pigeon_7_in_hole_6
| pigeon_7_in_hole_5
| pigeon_7_in_hole_4
| pigeon_7_in_hole_3
| pigeon_7_in_hole_2
| pigeon_7_in_hole_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pigeon_7) ).
fof(f8,negated_conjecture,
( pigeon_8_in_hole_7
| pigeon_8_in_hole_6
| pigeon_8_in_hole_5
| pigeon_8_in_hole_4
| pigeon_8_in_hole_3
| pigeon_8_in_hole_2
| pigeon_8_in_hole_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pigeon_8) ).
fof(f9,negated_conjecture,
( ~ pigeon_2_in_hole_1
| ~ pigeon_1_in_hole_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_1_pigeons_1_and_2) ).
fof(f10,negated_conjecture,
( ~ pigeon_3_in_hole_1
| ~ pigeon_1_in_hole_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_1_pigeons_1_and_3) ).
fof(f11,negated_conjecture,
( ~ pigeon_4_in_hole_1
| ~ pigeon_1_in_hole_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_1_pigeons_1_and_4) ).
fof(f12,negated_conjecture,
( ~ pigeon_5_in_hole_1
| ~ pigeon_1_in_hole_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_1_pigeons_1_and_5) ).
fof(f13,negated_conjecture,
( ~ pigeon_6_in_hole_1
| ~ pigeon_1_in_hole_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_1_pigeons_1_and_6) ).
fof(f14,negated_conjecture,
( ~ pigeon_7_in_hole_1
| ~ pigeon_1_in_hole_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_1_pigeons_1_and_7) ).
fof(f15,negated_conjecture,
( ~ pigeon_8_in_hole_1
| ~ pigeon_1_in_hole_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_1_pigeons_1_and_8) ).
fof(f16,negated_conjecture,
( ~ pigeon_3_in_hole_1
| ~ pigeon_2_in_hole_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_1_pigeons_2_and_3) ).
fof(f17,negated_conjecture,
( ~ pigeon_4_in_hole_1
| ~ pigeon_2_in_hole_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_1_pigeons_2_and_4) ).
fof(f18,negated_conjecture,
( ~ pigeon_5_in_hole_1
| ~ pigeon_2_in_hole_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_1_pigeons_2_and_5) ).
fof(f19,negated_conjecture,
( ~ pigeon_6_in_hole_1
| ~ pigeon_2_in_hole_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_1_pigeons_2_and_6) ).
fof(f20,negated_conjecture,
( ~ pigeon_7_in_hole_1
| ~ pigeon_2_in_hole_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_1_pigeons_2_and_7) ).
fof(f21,negated_conjecture,
( ~ pigeon_8_in_hole_1
| ~ pigeon_2_in_hole_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_1_pigeons_2_and_8) ).
fof(f22,negated_conjecture,
( ~ pigeon_4_in_hole_1
| ~ pigeon_3_in_hole_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_1_pigeons_3_and_4) ).
fof(f23,negated_conjecture,
( ~ pigeon_5_in_hole_1
| ~ pigeon_3_in_hole_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_1_pigeons_3_and_5) ).
fof(f24,negated_conjecture,
( ~ pigeon_6_in_hole_1
| ~ pigeon_3_in_hole_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_1_pigeons_3_and_6) ).
fof(f25,negated_conjecture,
( ~ pigeon_7_in_hole_1
| ~ pigeon_3_in_hole_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_1_pigeons_3_and_7) ).
fof(f26,negated_conjecture,
( ~ pigeon_8_in_hole_1
| ~ pigeon_3_in_hole_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_1_pigeons_3_and_8) ).
fof(f27,negated_conjecture,
( ~ pigeon_5_in_hole_1
| ~ pigeon_4_in_hole_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_1_pigeons_4_and_5) ).
fof(f28,negated_conjecture,
( ~ pigeon_6_in_hole_1
| ~ pigeon_4_in_hole_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_1_pigeons_4_and_6) ).
fof(f29,negated_conjecture,
( ~ pigeon_7_in_hole_1
| ~ pigeon_4_in_hole_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_1_pigeons_4_and_7) ).
fof(f30,negated_conjecture,
( ~ pigeon_8_in_hole_1
| ~ pigeon_4_in_hole_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_1_pigeons_4_and_8) ).
fof(f31,negated_conjecture,
( ~ pigeon_6_in_hole_1
| ~ pigeon_5_in_hole_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_1_pigeons_5_and_6) ).
fof(f32,negated_conjecture,
( ~ pigeon_7_in_hole_1
| ~ pigeon_5_in_hole_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_1_pigeons_5_and_7) ).
fof(f33,negated_conjecture,
( ~ pigeon_8_in_hole_1
| ~ pigeon_5_in_hole_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_1_pigeons_5_and_8) ).
fof(f34,negated_conjecture,
( ~ pigeon_7_in_hole_1
| ~ pigeon_6_in_hole_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_1_pigeons_6_and_7) ).
fof(f35,negated_conjecture,
( ~ pigeon_8_in_hole_1
| ~ pigeon_6_in_hole_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_1_pigeons_6_and_8) ).
fof(f36,negated_conjecture,
( ~ pigeon_8_in_hole_1
| ~ pigeon_7_in_hole_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_1_pigeons_7_and_8) ).
fof(f37,negated_conjecture,
( ~ pigeon_2_in_hole_2
| ~ pigeon_1_in_hole_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_2_pigeons_1_and_2) ).
fof(f38,negated_conjecture,
( ~ pigeon_3_in_hole_2
| ~ pigeon_1_in_hole_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_2_pigeons_1_and_3) ).
fof(f39,negated_conjecture,
( ~ pigeon_4_in_hole_2
| ~ pigeon_1_in_hole_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_2_pigeons_1_and_4) ).
fof(f40,negated_conjecture,
( ~ pigeon_5_in_hole_2
| ~ pigeon_1_in_hole_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_2_pigeons_1_and_5) ).
fof(f41,negated_conjecture,
( ~ pigeon_6_in_hole_2
| ~ pigeon_1_in_hole_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_2_pigeons_1_and_6) ).
fof(f42,negated_conjecture,
( ~ pigeon_7_in_hole_2
| ~ pigeon_1_in_hole_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_2_pigeons_1_and_7) ).
fof(f43,negated_conjecture,
( ~ pigeon_8_in_hole_2
| ~ pigeon_1_in_hole_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_2_pigeons_1_and_8) ).
fof(f44,negated_conjecture,
( ~ pigeon_3_in_hole_2
| ~ pigeon_2_in_hole_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_2_pigeons_2_and_3) ).
fof(f45,negated_conjecture,
( ~ pigeon_4_in_hole_2
| ~ pigeon_2_in_hole_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_2_pigeons_2_and_4) ).
fof(f46,negated_conjecture,
( ~ pigeon_5_in_hole_2
| ~ pigeon_2_in_hole_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_2_pigeons_2_and_5) ).
fof(f47,negated_conjecture,
( ~ pigeon_6_in_hole_2
| ~ pigeon_2_in_hole_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_2_pigeons_2_and_6) ).
fof(f48,negated_conjecture,
( ~ pigeon_7_in_hole_2
| ~ pigeon_2_in_hole_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_2_pigeons_2_and_7) ).
fof(f49,negated_conjecture,
( ~ pigeon_8_in_hole_2
| ~ pigeon_2_in_hole_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_2_pigeons_2_and_8) ).
fof(f50,negated_conjecture,
( ~ pigeon_4_in_hole_2
| ~ pigeon_3_in_hole_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_2_pigeons_3_and_4) ).
fof(f51,negated_conjecture,
( ~ pigeon_5_in_hole_2
| ~ pigeon_3_in_hole_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_2_pigeons_3_and_5) ).
fof(f52,negated_conjecture,
( ~ pigeon_6_in_hole_2
| ~ pigeon_3_in_hole_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_2_pigeons_3_and_6) ).
fof(f53,negated_conjecture,
( ~ pigeon_7_in_hole_2
| ~ pigeon_3_in_hole_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_2_pigeons_3_and_7) ).
fof(f54,negated_conjecture,
( ~ pigeon_8_in_hole_2
| ~ pigeon_3_in_hole_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_2_pigeons_3_and_8) ).
fof(f55,negated_conjecture,
( ~ pigeon_5_in_hole_2
| ~ pigeon_4_in_hole_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_2_pigeons_4_and_5) ).
fof(f56,negated_conjecture,
( ~ pigeon_6_in_hole_2
| ~ pigeon_4_in_hole_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_2_pigeons_4_and_6) ).
fof(f57,negated_conjecture,
( ~ pigeon_7_in_hole_2
| ~ pigeon_4_in_hole_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_2_pigeons_4_and_7) ).
fof(f58,negated_conjecture,
( ~ pigeon_8_in_hole_2
| ~ pigeon_4_in_hole_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_2_pigeons_4_and_8) ).
fof(f59,negated_conjecture,
( ~ pigeon_6_in_hole_2
| ~ pigeon_5_in_hole_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_2_pigeons_5_and_6) ).
fof(f60,negated_conjecture,
( ~ pigeon_7_in_hole_2
| ~ pigeon_5_in_hole_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_2_pigeons_5_and_7) ).
fof(f61,negated_conjecture,
( ~ pigeon_8_in_hole_2
| ~ pigeon_5_in_hole_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_2_pigeons_5_and_8) ).
fof(f62,negated_conjecture,
( ~ pigeon_7_in_hole_2
| ~ pigeon_6_in_hole_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_2_pigeons_6_and_7) ).
fof(f63,negated_conjecture,
( ~ pigeon_8_in_hole_2
| ~ pigeon_6_in_hole_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_2_pigeons_6_and_8) ).
fof(f64,negated_conjecture,
( ~ pigeon_8_in_hole_2
| ~ pigeon_7_in_hole_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_2_pigeons_7_and_8) ).
fof(f65,negated_conjecture,
( ~ pigeon_2_in_hole_3
| ~ pigeon_1_in_hole_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_3_pigeons_1_and_2) ).
fof(f66,negated_conjecture,
( ~ pigeon_3_in_hole_3
| ~ pigeon_1_in_hole_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_3_pigeons_1_and_3) ).
fof(f67,negated_conjecture,
( ~ pigeon_4_in_hole_3
| ~ pigeon_1_in_hole_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_3_pigeons_1_and_4) ).
fof(f68,negated_conjecture,
( ~ pigeon_5_in_hole_3
| ~ pigeon_1_in_hole_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_3_pigeons_1_and_5) ).
fof(f69,negated_conjecture,
( ~ pigeon_6_in_hole_3
| ~ pigeon_1_in_hole_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_3_pigeons_1_and_6) ).
fof(f70,negated_conjecture,
( ~ pigeon_7_in_hole_3
| ~ pigeon_1_in_hole_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_3_pigeons_1_and_7) ).
fof(f71,negated_conjecture,
( ~ pigeon_8_in_hole_3
| ~ pigeon_1_in_hole_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_3_pigeons_1_and_8) ).
fof(f72,negated_conjecture,
( ~ pigeon_3_in_hole_3
| ~ pigeon_2_in_hole_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_3_pigeons_2_and_3) ).
fof(f73,negated_conjecture,
( ~ pigeon_4_in_hole_3
| ~ pigeon_2_in_hole_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_3_pigeons_2_and_4) ).
fof(f74,negated_conjecture,
( ~ pigeon_5_in_hole_3
| ~ pigeon_2_in_hole_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_3_pigeons_2_and_5) ).
fof(f75,negated_conjecture,
( ~ pigeon_6_in_hole_3
| ~ pigeon_2_in_hole_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_3_pigeons_2_and_6) ).
fof(f76,negated_conjecture,
( ~ pigeon_7_in_hole_3
| ~ pigeon_2_in_hole_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_3_pigeons_2_and_7) ).
fof(f77,negated_conjecture,
( ~ pigeon_8_in_hole_3
| ~ pigeon_2_in_hole_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_3_pigeons_2_and_8) ).
fof(f78,negated_conjecture,
( ~ pigeon_4_in_hole_3
| ~ pigeon_3_in_hole_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_3_pigeons_3_and_4) ).
fof(f79,negated_conjecture,
( ~ pigeon_5_in_hole_3
| ~ pigeon_3_in_hole_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_3_pigeons_3_and_5) ).
fof(f80,negated_conjecture,
( ~ pigeon_6_in_hole_3
| ~ pigeon_3_in_hole_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_3_pigeons_3_and_6) ).
fof(f81,negated_conjecture,
( ~ pigeon_7_in_hole_3
| ~ pigeon_3_in_hole_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_3_pigeons_3_and_7) ).
fof(f82,negated_conjecture,
( ~ pigeon_8_in_hole_3
| ~ pigeon_3_in_hole_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_3_pigeons_3_and_8) ).
fof(f83,negated_conjecture,
( ~ pigeon_5_in_hole_3
| ~ pigeon_4_in_hole_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_3_pigeons_4_and_5) ).
fof(f84,negated_conjecture,
( ~ pigeon_6_in_hole_3
| ~ pigeon_4_in_hole_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_3_pigeons_4_and_6) ).
fof(f85,negated_conjecture,
( ~ pigeon_7_in_hole_3
| ~ pigeon_4_in_hole_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_3_pigeons_4_and_7) ).
fof(f86,negated_conjecture,
( ~ pigeon_8_in_hole_3
| ~ pigeon_4_in_hole_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_3_pigeons_4_and_8) ).
fof(f87,negated_conjecture,
( ~ pigeon_6_in_hole_3
| ~ pigeon_5_in_hole_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_3_pigeons_5_and_6) ).
fof(f88,negated_conjecture,
( ~ pigeon_7_in_hole_3
| ~ pigeon_5_in_hole_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_3_pigeons_5_and_7) ).
fof(f89,negated_conjecture,
( ~ pigeon_8_in_hole_3
| ~ pigeon_5_in_hole_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_3_pigeons_5_and_8) ).
fof(f90,negated_conjecture,
( ~ pigeon_7_in_hole_3
| ~ pigeon_6_in_hole_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_3_pigeons_6_and_7) ).
fof(f91,negated_conjecture,
( ~ pigeon_8_in_hole_3
| ~ pigeon_6_in_hole_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_3_pigeons_6_and_8) ).
fof(f92,negated_conjecture,
( ~ pigeon_8_in_hole_3
| ~ pigeon_7_in_hole_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_3_pigeons_7_and_8) ).
fof(f93,negated_conjecture,
( ~ pigeon_2_in_hole_4
| ~ pigeon_1_in_hole_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_4_pigeons_1_and_2) ).
fof(f94,negated_conjecture,
( ~ pigeon_3_in_hole_4
| ~ pigeon_1_in_hole_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_4_pigeons_1_and_3) ).
fof(f95,negated_conjecture,
( ~ pigeon_4_in_hole_4
| ~ pigeon_1_in_hole_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_4_pigeons_1_and_4) ).
fof(f96,negated_conjecture,
( ~ pigeon_5_in_hole_4
| ~ pigeon_1_in_hole_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_4_pigeons_1_and_5) ).
fof(f97,negated_conjecture,
( ~ pigeon_6_in_hole_4
| ~ pigeon_1_in_hole_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_4_pigeons_1_and_6) ).
fof(f98,negated_conjecture,
( ~ pigeon_7_in_hole_4
| ~ pigeon_1_in_hole_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_4_pigeons_1_and_7) ).
fof(f99,negated_conjecture,
( ~ pigeon_8_in_hole_4
| ~ pigeon_1_in_hole_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_4_pigeons_1_and_8) ).
fof(f100,negated_conjecture,
( ~ pigeon_3_in_hole_4
| ~ pigeon_2_in_hole_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_4_pigeons_2_and_3) ).
fof(f101,negated_conjecture,
( ~ pigeon_4_in_hole_4
| ~ pigeon_2_in_hole_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_4_pigeons_2_and_4) ).
fof(f102,negated_conjecture,
( ~ pigeon_5_in_hole_4
| ~ pigeon_2_in_hole_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_4_pigeons_2_and_5) ).
fof(f103,negated_conjecture,
( ~ pigeon_6_in_hole_4
| ~ pigeon_2_in_hole_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_4_pigeons_2_and_6) ).
fof(f104,negated_conjecture,
( ~ pigeon_7_in_hole_4
| ~ pigeon_2_in_hole_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_4_pigeons_2_and_7) ).
fof(f105,negated_conjecture,
( ~ pigeon_8_in_hole_4
| ~ pigeon_2_in_hole_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_4_pigeons_2_and_8) ).
fof(f106,negated_conjecture,
( ~ pigeon_4_in_hole_4
| ~ pigeon_3_in_hole_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_4_pigeons_3_and_4) ).
fof(f107,negated_conjecture,
( ~ pigeon_5_in_hole_4
| ~ pigeon_3_in_hole_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_4_pigeons_3_and_5) ).
fof(f108,negated_conjecture,
( ~ pigeon_6_in_hole_4
| ~ pigeon_3_in_hole_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_4_pigeons_3_and_6) ).
fof(f109,negated_conjecture,
( ~ pigeon_7_in_hole_4
| ~ pigeon_3_in_hole_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_4_pigeons_3_and_7) ).
fof(f110,negated_conjecture,
( ~ pigeon_8_in_hole_4
| ~ pigeon_3_in_hole_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_4_pigeons_3_and_8) ).
fof(f111,negated_conjecture,
( ~ pigeon_5_in_hole_4
| ~ pigeon_4_in_hole_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_4_pigeons_4_and_5) ).
fof(f112,negated_conjecture,
( ~ pigeon_6_in_hole_4
| ~ pigeon_4_in_hole_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_4_pigeons_4_and_6) ).
fof(f113,negated_conjecture,
( ~ pigeon_7_in_hole_4
| ~ pigeon_4_in_hole_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_4_pigeons_4_and_7) ).
fof(f114,negated_conjecture,
( ~ pigeon_8_in_hole_4
| ~ pigeon_4_in_hole_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_4_pigeons_4_and_8) ).
fof(f115,negated_conjecture,
( ~ pigeon_6_in_hole_4
| ~ pigeon_5_in_hole_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_4_pigeons_5_and_6) ).
fof(f116,negated_conjecture,
( ~ pigeon_7_in_hole_4
| ~ pigeon_5_in_hole_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_4_pigeons_5_and_7) ).
fof(f117,negated_conjecture,
( ~ pigeon_8_in_hole_4
| ~ pigeon_5_in_hole_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_4_pigeons_5_and_8) ).
fof(f118,negated_conjecture,
( ~ pigeon_7_in_hole_4
| ~ pigeon_6_in_hole_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_4_pigeons_6_and_7) ).
fof(f119,negated_conjecture,
( ~ pigeon_8_in_hole_4
| ~ pigeon_6_in_hole_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_4_pigeons_6_and_8) ).
fof(f120,negated_conjecture,
( ~ pigeon_8_in_hole_4
| ~ pigeon_7_in_hole_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_4_pigeons_7_and_8) ).
fof(f121,negated_conjecture,
( ~ pigeon_2_in_hole_5
| ~ pigeon_1_in_hole_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_5_pigeons_1_and_2) ).
fof(f122,negated_conjecture,
( ~ pigeon_3_in_hole_5
| ~ pigeon_1_in_hole_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_5_pigeons_1_and_3) ).
fof(f123,negated_conjecture,
( ~ pigeon_4_in_hole_5
| ~ pigeon_1_in_hole_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_5_pigeons_1_and_4) ).
fof(f124,negated_conjecture,
( ~ pigeon_5_in_hole_5
| ~ pigeon_1_in_hole_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_5_pigeons_1_and_5) ).
fof(f125,negated_conjecture,
( ~ pigeon_6_in_hole_5
| ~ pigeon_1_in_hole_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_5_pigeons_1_and_6) ).
fof(f126,negated_conjecture,
( ~ pigeon_7_in_hole_5
| ~ pigeon_1_in_hole_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_5_pigeons_1_and_7) ).
fof(f127,negated_conjecture,
( ~ pigeon_8_in_hole_5
| ~ pigeon_1_in_hole_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_5_pigeons_1_and_8) ).
fof(f128,negated_conjecture,
( ~ pigeon_3_in_hole_5
| ~ pigeon_2_in_hole_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_5_pigeons_2_and_3) ).
fof(f129,negated_conjecture,
( ~ pigeon_4_in_hole_5
| ~ pigeon_2_in_hole_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_5_pigeons_2_and_4) ).
fof(f130,negated_conjecture,
( ~ pigeon_5_in_hole_5
| ~ pigeon_2_in_hole_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_5_pigeons_2_and_5) ).
fof(f131,negated_conjecture,
( ~ pigeon_6_in_hole_5
| ~ pigeon_2_in_hole_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_5_pigeons_2_and_6) ).
fof(f132,negated_conjecture,
( ~ pigeon_7_in_hole_5
| ~ pigeon_2_in_hole_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_5_pigeons_2_and_7) ).
fof(f133,negated_conjecture,
( ~ pigeon_8_in_hole_5
| ~ pigeon_2_in_hole_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_5_pigeons_2_and_8) ).
fof(f134,negated_conjecture,
( ~ pigeon_4_in_hole_5
| ~ pigeon_3_in_hole_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_5_pigeons_3_and_4) ).
fof(f135,negated_conjecture,
( ~ pigeon_5_in_hole_5
| ~ pigeon_3_in_hole_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_5_pigeons_3_and_5) ).
fof(f136,negated_conjecture,
( ~ pigeon_6_in_hole_5
| ~ pigeon_3_in_hole_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_5_pigeons_3_and_6) ).
fof(f137,negated_conjecture,
( ~ pigeon_7_in_hole_5
| ~ pigeon_3_in_hole_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_5_pigeons_3_and_7) ).
fof(f138,negated_conjecture,
( ~ pigeon_8_in_hole_5
| ~ pigeon_3_in_hole_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_5_pigeons_3_and_8) ).
fof(f139,negated_conjecture,
( ~ pigeon_5_in_hole_5
| ~ pigeon_4_in_hole_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_5_pigeons_4_and_5) ).
fof(f140,negated_conjecture,
( ~ pigeon_6_in_hole_5
| ~ pigeon_4_in_hole_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_5_pigeons_4_and_6) ).
fof(f141,negated_conjecture,
( ~ pigeon_7_in_hole_5
| ~ pigeon_4_in_hole_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_5_pigeons_4_and_7) ).
fof(f142,negated_conjecture,
( ~ pigeon_8_in_hole_5
| ~ pigeon_4_in_hole_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_5_pigeons_4_and_8) ).
fof(f143,negated_conjecture,
( ~ pigeon_6_in_hole_5
| ~ pigeon_5_in_hole_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_5_pigeons_5_and_6) ).
fof(f144,negated_conjecture,
( ~ pigeon_7_in_hole_5
| ~ pigeon_5_in_hole_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_5_pigeons_5_and_7) ).
fof(f145,negated_conjecture,
( ~ pigeon_8_in_hole_5
| ~ pigeon_5_in_hole_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_5_pigeons_5_and_8) ).
fof(f146,negated_conjecture,
( ~ pigeon_7_in_hole_5
| ~ pigeon_6_in_hole_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_5_pigeons_6_and_7) ).
fof(f147,negated_conjecture,
( ~ pigeon_8_in_hole_5
| ~ pigeon_6_in_hole_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_5_pigeons_6_and_8) ).
fof(f148,negated_conjecture,
( ~ pigeon_8_in_hole_5
| ~ pigeon_7_in_hole_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_5_pigeons_7_and_8) ).
fof(f149,negated_conjecture,
( ~ pigeon_2_in_hole_6
| ~ pigeon_1_in_hole_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_6_pigeons_1_and_2) ).
fof(f150,negated_conjecture,
( ~ pigeon_3_in_hole_6
| ~ pigeon_1_in_hole_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_6_pigeons_1_and_3) ).
fof(f151,negated_conjecture,
( ~ pigeon_4_in_hole_6
| ~ pigeon_1_in_hole_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_6_pigeons_1_and_4) ).
fof(f152,negated_conjecture,
( ~ pigeon_5_in_hole_6
| ~ pigeon_1_in_hole_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_6_pigeons_1_and_5) ).
fof(f153,negated_conjecture,
( ~ pigeon_6_in_hole_6
| ~ pigeon_1_in_hole_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_6_pigeons_1_and_6) ).
fof(f154,negated_conjecture,
( ~ pigeon_7_in_hole_6
| ~ pigeon_1_in_hole_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_6_pigeons_1_and_7) ).
fof(f155,negated_conjecture,
( ~ pigeon_8_in_hole_6
| ~ pigeon_1_in_hole_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_6_pigeons_1_and_8) ).
fof(f156,negated_conjecture,
( ~ pigeon_3_in_hole_6
| ~ pigeon_2_in_hole_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_6_pigeons_2_and_3) ).
fof(f157,negated_conjecture,
( ~ pigeon_4_in_hole_6
| ~ pigeon_2_in_hole_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_6_pigeons_2_and_4) ).
fof(f158,negated_conjecture,
( ~ pigeon_5_in_hole_6
| ~ pigeon_2_in_hole_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_6_pigeons_2_and_5) ).
fof(f159,negated_conjecture,
( ~ pigeon_6_in_hole_6
| ~ pigeon_2_in_hole_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_6_pigeons_2_and_6) ).
fof(f160,negated_conjecture,
( ~ pigeon_7_in_hole_6
| ~ pigeon_2_in_hole_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_6_pigeons_2_and_7) ).
fof(f161,negated_conjecture,
( ~ pigeon_8_in_hole_6
| ~ pigeon_2_in_hole_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_6_pigeons_2_and_8) ).
fof(f162,negated_conjecture,
( ~ pigeon_4_in_hole_6
| ~ pigeon_3_in_hole_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_6_pigeons_3_and_4) ).
fof(f163,negated_conjecture,
( ~ pigeon_5_in_hole_6
| ~ pigeon_3_in_hole_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_6_pigeons_3_and_5) ).
fof(f164,negated_conjecture,
( ~ pigeon_6_in_hole_6
| ~ pigeon_3_in_hole_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_6_pigeons_3_and_6) ).
fof(f165,negated_conjecture,
( ~ pigeon_7_in_hole_6
| ~ pigeon_3_in_hole_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_6_pigeons_3_and_7) ).
fof(f166,negated_conjecture,
( ~ pigeon_8_in_hole_6
| ~ pigeon_3_in_hole_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_6_pigeons_3_and_8) ).
fof(f167,negated_conjecture,
( ~ pigeon_5_in_hole_6
| ~ pigeon_4_in_hole_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_6_pigeons_4_and_5) ).
fof(f168,negated_conjecture,
( ~ pigeon_6_in_hole_6
| ~ pigeon_4_in_hole_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_6_pigeons_4_and_6) ).
fof(f169,negated_conjecture,
( ~ pigeon_7_in_hole_6
| ~ pigeon_4_in_hole_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_6_pigeons_4_and_7) ).
fof(f170,negated_conjecture,
( ~ pigeon_8_in_hole_6
| ~ pigeon_4_in_hole_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_6_pigeons_4_and_8) ).
fof(f171,negated_conjecture,
( ~ pigeon_6_in_hole_6
| ~ pigeon_5_in_hole_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_6_pigeons_5_and_6) ).
fof(f172,negated_conjecture,
( ~ pigeon_7_in_hole_6
| ~ pigeon_5_in_hole_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_6_pigeons_5_and_7) ).
fof(f173,negated_conjecture,
( ~ pigeon_8_in_hole_6
| ~ pigeon_5_in_hole_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_6_pigeons_5_and_8) ).
fof(f174,negated_conjecture,
( ~ pigeon_7_in_hole_6
| ~ pigeon_6_in_hole_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_6_pigeons_6_and_7) ).
fof(f175,negated_conjecture,
( ~ pigeon_8_in_hole_6
| ~ pigeon_6_in_hole_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_6_pigeons_6_and_8) ).
fof(f176,negated_conjecture,
( ~ pigeon_8_in_hole_6
| ~ pigeon_7_in_hole_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_6_pigeons_7_and_8) ).
fof(f177,negated_conjecture,
( ~ pigeon_2_in_hole_7
| ~ pigeon_1_in_hole_7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_7_pigeons_1_and_2) ).
fof(f178,negated_conjecture,
( ~ pigeon_3_in_hole_7
| ~ pigeon_1_in_hole_7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_7_pigeons_1_and_3) ).
fof(f179,negated_conjecture,
( ~ pigeon_4_in_hole_7
| ~ pigeon_1_in_hole_7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_7_pigeons_1_and_4) ).
fof(f180,negated_conjecture,
( ~ pigeon_5_in_hole_7
| ~ pigeon_1_in_hole_7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_7_pigeons_1_and_5) ).
fof(f181,negated_conjecture,
( ~ pigeon_6_in_hole_7
| ~ pigeon_1_in_hole_7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_7_pigeons_1_and_6) ).
fof(f182,negated_conjecture,
( ~ pigeon_7_in_hole_7
| ~ pigeon_1_in_hole_7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_7_pigeons_1_and_7) ).
fof(f183,negated_conjecture,
( ~ pigeon_8_in_hole_7
| ~ pigeon_1_in_hole_7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_7_pigeons_1_and_8) ).
fof(f184,negated_conjecture,
( ~ pigeon_3_in_hole_7
| ~ pigeon_2_in_hole_7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_7_pigeons_2_and_3) ).
fof(f185,negated_conjecture,
( ~ pigeon_4_in_hole_7
| ~ pigeon_2_in_hole_7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_7_pigeons_2_and_4) ).
fof(f186,negated_conjecture,
( ~ pigeon_5_in_hole_7
| ~ pigeon_2_in_hole_7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_7_pigeons_2_and_5) ).
fof(f187,negated_conjecture,
( ~ pigeon_6_in_hole_7
| ~ pigeon_2_in_hole_7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_7_pigeons_2_and_6) ).
fof(f188,negated_conjecture,
( ~ pigeon_7_in_hole_7
| ~ pigeon_2_in_hole_7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_7_pigeons_2_and_7) ).
fof(f189,negated_conjecture,
( ~ pigeon_8_in_hole_7
| ~ pigeon_2_in_hole_7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_7_pigeons_2_and_8) ).
fof(f190,negated_conjecture,
( ~ pigeon_4_in_hole_7
| ~ pigeon_3_in_hole_7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_7_pigeons_3_and_4) ).
fof(f191,negated_conjecture,
( ~ pigeon_5_in_hole_7
| ~ pigeon_3_in_hole_7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_7_pigeons_3_and_5) ).
fof(f192,negated_conjecture,
( ~ pigeon_6_in_hole_7
| ~ pigeon_3_in_hole_7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_7_pigeons_3_and_6) ).
fof(f193,negated_conjecture,
( ~ pigeon_7_in_hole_7
| ~ pigeon_3_in_hole_7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_7_pigeons_3_and_7) ).
fof(f194,negated_conjecture,
( ~ pigeon_8_in_hole_7
| ~ pigeon_3_in_hole_7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_7_pigeons_3_and_8) ).
fof(f195,negated_conjecture,
( ~ pigeon_5_in_hole_7
| ~ pigeon_4_in_hole_7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_7_pigeons_4_and_5) ).
fof(f196,negated_conjecture,
( ~ pigeon_6_in_hole_7
| ~ pigeon_4_in_hole_7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_7_pigeons_4_and_6) ).
fof(f197,negated_conjecture,
( ~ pigeon_7_in_hole_7
| ~ pigeon_4_in_hole_7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_7_pigeons_4_and_7) ).
fof(f198,negated_conjecture,
( ~ pigeon_8_in_hole_7
| ~ pigeon_4_in_hole_7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_7_pigeons_4_and_8) ).
fof(f199,negated_conjecture,
( ~ pigeon_6_in_hole_7
| ~ pigeon_5_in_hole_7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_7_pigeons_5_and_6) ).
fof(f200,negated_conjecture,
( ~ pigeon_7_in_hole_7
| ~ pigeon_5_in_hole_7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_7_pigeons_5_and_7) ).
fof(f201,negated_conjecture,
( ~ pigeon_8_in_hole_7
| ~ pigeon_5_in_hole_7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_7_pigeons_5_and_8) ).
fof(f202,negated_conjecture,
( ~ pigeon_7_in_hole_7
| ~ pigeon_6_in_hole_7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_7_pigeons_6_and_7) ).
fof(f203,negated_conjecture,
( ~ pigeon_8_in_hole_7
| ~ pigeon_6_in_hole_7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_7_pigeons_6_and_8) ).
fof(f204,negated_conjecture,
( ~ pigeon_8_in_hole_7
| ~ pigeon_7_in_hole_7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_7_pigeons_7_and_8) ).
tcf(c_253,negated_conjecture,
( pigeon_1_in_hole_7
| pigeon_1_in_hole_6
| pigeon_1_in_hole_5
| pigeon_1_in_hole_4
| pigeon_1_in_hole_3
| pigeon_1_in_hole_2
| pigeon_1_in_hole_1 ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_254,negated_conjecture,
( pigeon_2_in_hole_7
| pigeon_2_in_hole_6
| pigeon_2_in_hole_5
| pigeon_2_in_hole_4
| pigeon_2_in_hole_3
| pigeon_2_in_hole_2
| pigeon_2_in_hole_1 ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_255,negated_conjecture,
( pigeon_3_in_hole_7
| pigeon_3_in_hole_6
| pigeon_3_in_hole_5
| pigeon_3_in_hole_4
| pigeon_3_in_hole_3
| pigeon_3_in_hole_2
| pigeon_3_in_hole_1 ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_256,negated_conjecture,
( pigeon_4_in_hole_7
| pigeon_4_in_hole_6
| pigeon_4_in_hole_5
| pigeon_4_in_hole_4
| pigeon_4_in_hole_3
| pigeon_4_in_hole_2
| pigeon_4_in_hole_1 ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_257,negated_conjecture,
( pigeon_5_in_hole_7
| pigeon_5_in_hole_6
| pigeon_5_in_hole_5
| pigeon_5_in_hole_4
| pigeon_5_in_hole_3
| pigeon_5_in_hole_2
| pigeon_5_in_hole_1 ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_258,negated_conjecture,
( pigeon_6_in_hole_7
| pigeon_6_in_hole_6
| pigeon_6_in_hole_5
| pigeon_6_in_hole_4
| pigeon_6_in_hole_3
| pigeon_6_in_hole_2
| pigeon_6_in_hole_1 ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_259,negated_conjecture,
( pigeon_7_in_hole_7
| pigeon_7_in_hole_6
| pigeon_7_in_hole_5
| pigeon_7_in_hole_4
| pigeon_7_in_hole_3
| pigeon_7_in_hole_2
| pigeon_7_in_hole_1 ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_260,negated_conjecture,
( pigeon_8_in_hole_7
| pigeon_8_in_hole_6
| pigeon_8_in_hole_5
| pigeon_8_in_hole_4
| pigeon_8_in_hole_3
| pigeon_8_in_hole_2
| pigeon_8_in_hole_1 ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_261,negated_conjecture,
( ~ pigeon_2_in_hole_1
| ~ pigeon_1_in_hole_1 ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_262,negated_conjecture,
( ~ pigeon_3_in_hole_1
| ~ pigeon_1_in_hole_1 ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_263,negated_conjecture,
( ~ pigeon_4_in_hole_1
| ~ pigeon_1_in_hole_1 ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_264,negated_conjecture,
( ~ pigeon_5_in_hole_1
| ~ pigeon_1_in_hole_1 ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_265,negated_conjecture,
( ~ pigeon_6_in_hole_1
| ~ pigeon_1_in_hole_1 ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_266,negated_conjecture,
( ~ pigeon_7_in_hole_1
| ~ pigeon_1_in_hole_1 ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_267,negated_conjecture,
( ~ pigeon_8_in_hole_1
| ~ pigeon_1_in_hole_1 ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_268,negated_conjecture,
( ~ pigeon_3_in_hole_1
| ~ pigeon_2_in_hole_1 ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_269,negated_conjecture,
( ~ pigeon_4_in_hole_1
| ~ pigeon_2_in_hole_1 ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_270,negated_conjecture,
( ~ pigeon_5_in_hole_1
| ~ pigeon_2_in_hole_1 ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_271,negated_conjecture,
( ~ pigeon_6_in_hole_1
| ~ pigeon_2_in_hole_1 ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_272,negated_conjecture,
( ~ pigeon_7_in_hole_1
| ~ pigeon_2_in_hole_1 ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_273,negated_conjecture,
( ~ pigeon_8_in_hole_1
| ~ pigeon_2_in_hole_1 ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_274,negated_conjecture,
( ~ pigeon_4_in_hole_1
| ~ pigeon_3_in_hole_1 ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_275,negated_conjecture,
( ~ pigeon_5_in_hole_1
| ~ pigeon_3_in_hole_1 ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_276,negated_conjecture,
( ~ pigeon_6_in_hole_1
| ~ pigeon_3_in_hole_1 ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_277,negated_conjecture,
( ~ pigeon_7_in_hole_1
| ~ pigeon_3_in_hole_1 ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_278,negated_conjecture,
( ~ pigeon_8_in_hole_1
| ~ pigeon_3_in_hole_1 ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_279,negated_conjecture,
( ~ pigeon_5_in_hole_1
| ~ pigeon_4_in_hole_1 ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_280,negated_conjecture,
( ~ pigeon_6_in_hole_1
| ~ pigeon_4_in_hole_1 ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_281,negated_conjecture,
( ~ pigeon_7_in_hole_1
| ~ pigeon_4_in_hole_1 ),
inference(cnf_transformation,[],[f29]) ).
tcf(c_282,negated_conjecture,
( ~ pigeon_8_in_hole_1
| ~ pigeon_4_in_hole_1 ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_283,negated_conjecture,
( ~ pigeon_6_in_hole_1
| ~ pigeon_5_in_hole_1 ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_284,negated_conjecture,
( ~ pigeon_7_in_hole_1
| ~ pigeon_5_in_hole_1 ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_285,negated_conjecture,
( ~ pigeon_8_in_hole_1
| ~ pigeon_5_in_hole_1 ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_286,negated_conjecture,
( ~ pigeon_7_in_hole_1
| ~ pigeon_6_in_hole_1 ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_287,negated_conjecture,
( ~ pigeon_8_in_hole_1
| ~ pigeon_6_in_hole_1 ),
inference(cnf_transformation,[],[f35]) ).
tcf(c_288,negated_conjecture,
( ~ pigeon_8_in_hole_1
| ~ pigeon_7_in_hole_1 ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_289,negated_conjecture,
( ~ pigeon_2_in_hole_2
| ~ pigeon_1_in_hole_2 ),
inference(cnf_transformation,[],[f37]) ).
tcf(c_290,negated_conjecture,
( ~ pigeon_3_in_hole_2
| ~ pigeon_1_in_hole_2 ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_291,negated_conjecture,
( ~ pigeon_4_in_hole_2
| ~ pigeon_1_in_hole_2 ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_292,negated_conjecture,
( ~ pigeon_5_in_hole_2
| ~ pigeon_1_in_hole_2 ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_293,negated_conjecture,
( ~ pigeon_6_in_hole_2
| ~ pigeon_1_in_hole_2 ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_294,negated_conjecture,
( ~ pigeon_7_in_hole_2
| ~ pigeon_1_in_hole_2 ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_295,negated_conjecture,
( ~ pigeon_8_in_hole_2
| ~ pigeon_1_in_hole_2 ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_296,negated_conjecture,
( ~ pigeon_3_in_hole_2
| ~ pigeon_2_in_hole_2 ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_297,negated_conjecture,
( ~ pigeon_4_in_hole_2
| ~ pigeon_2_in_hole_2 ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_298,negated_conjecture,
( ~ pigeon_5_in_hole_2
| ~ pigeon_2_in_hole_2 ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_299,negated_conjecture,
( ~ pigeon_6_in_hole_2
| ~ pigeon_2_in_hole_2 ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_300,negated_conjecture,
( ~ pigeon_7_in_hole_2
| ~ pigeon_2_in_hole_2 ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_301,negated_conjecture,
( ~ pigeon_8_in_hole_2
| ~ pigeon_2_in_hole_2 ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_302,negated_conjecture,
( ~ pigeon_4_in_hole_2
| ~ pigeon_3_in_hole_2 ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_303,negated_conjecture,
( ~ pigeon_5_in_hole_2
| ~ pigeon_3_in_hole_2 ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_304,negated_conjecture,
( ~ pigeon_6_in_hole_2
| ~ pigeon_3_in_hole_2 ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_305,negated_conjecture,
( ~ pigeon_7_in_hole_2
| ~ pigeon_3_in_hole_2 ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_306,negated_conjecture,
( ~ pigeon_8_in_hole_2
| ~ pigeon_3_in_hole_2 ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_307,negated_conjecture,
( ~ pigeon_5_in_hole_2
| ~ pigeon_4_in_hole_2 ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_308,negated_conjecture,
( ~ pigeon_6_in_hole_2
| ~ pigeon_4_in_hole_2 ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_309,negated_conjecture,
( ~ pigeon_7_in_hole_2
| ~ pigeon_4_in_hole_2 ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_310,negated_conjecture,
( ~ pigeon_8_in_hole_2
| ~ pigeon_4_in_hole_2 ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_311,negated_conjecture,
( ~ pigeon_6_in_hole_2
| ~ pigeon_5_in_hole_2 ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_312,negated_conjecture,
( ~ pigeon_7_in_hole_2
| ~ pigeon_5_in_hole_2 ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_313,negated_conjecture,
( ~ pigeon_8_in_hole_2
| ~ pigeon_5_in_hole_2 ),
inference(cnf_transformation,[],[f61]) ).
tcf(c_314,negated_conjecture,
( ~ pigeon_7_in_hole_2
| ~ pigeon_6_in_hole_2 ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_315,negated_conjecture,
( ~ pigeon_8_in_hole_2
| ~ pigeon_6_in_hole_2 ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_316,negated_conjecture,
( ~ pigeon_8_in_hole_2
| ~ pigeon_7_in_hole_2 ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_317,negated_conjecture,
( ~ pigeon_2_in_hole_3
| ~ pigeon_1_in_hole_3 ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_318,negated_conjecture,
( ~ pigeon_3_in_hole_3
| ~ pigeon_1_in_hole_3 ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_319,negated_conjecture,
( ~ pigeon_4_in_hole_3
| ~ pigeon_1_in_hole_3 ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_320,negated_conjecture,
( ~ pigeon_5_in_hole_3
| ~ pigeon_1_in_hole_3 ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_321,negated_conjecture,
( ~ pigeon_6_in_hole_3
| ~ pigeon_1_in_hole_3 ),
inference(cnf_transformation,[],[f69]) ).
tcf(c_322,negated_conjecture,
( ~ pigeon_7_in_hole_3
| ~ pigeon_1_in_hole_3 ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_323,negated_conjecture,
( ~ pigeon_8_in_hole_3
| ~ pigeon_1_in_hole_3 ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_324,negated_conjecture,
( ~ pigeon_3_in_hole_3
| ~ pigeon_2_in_hole_3 ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_325,negated_conjecture,
( ~ pigeon_4_in_hole_3
| ~ pigeon_2_in_hole_3 ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_326,negated_conjecture,
( ~ pigeon_5_in_hole_3
| ~ pigeon_2_in_hole_3 ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_327,negated_conjecture,
( ~ pigeon_6_in_hole_3
| ~ pigeon_2_in_hole_3 ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_328,negated_conjecture,
( ~ pigeon_7_in_hole_3
| ~ pigeon_2_in_hole_3 ),
inference(cnf_transformation,[],[f76]) ).
tcf(c_329,negated_conjecture,
( ~ pigeon_8_in_hole_3
| ~ pigeon_2_in_hole_3 ),
inference(cnf_transformation,[],[f77]) ).
tcf(c_330,negated_conjecture,
( ~ pigeon_4_in_hole_3
| ~ pigeon_3_in_hole_3 ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_331,negated_conjecture,
( ~ pigeon_5_in_hole_3
| ~ pigeon_3_in_hole_3 ),
inference(cnf_transformation,[],[f79]) ).
tcf(c_332,negated_conjecture,
( ~ pigeon_6_in_hole_3
| ~ pigeon_3_in_hole_3 ),
inference(cnf_transformation,[],[f80]) ).
tcf(c_333,negated_conjecture,
( ~ pigeon_7_in_hole_3
| ~ pigeon_3_in_hole_3 ),
inference(cnf_transformation,[],[f81]) ).
tcf(c_334,negated_conjecture,
( ~ pigeon_8_in_hole_3
| ~ pigeon_3_in_hole_3 ),
inference(cnf_transformation,[],[f82]) ).
tcf(c_335,negated_conjecture,
( ~ pigeon_5_in_hole_3
| ~ pigeon_4_in_hole_3 ),
inference(cnf_transformation,[],[f83]) ).
tcf(c_336,negated_conjecture,
( ~ pigeon_6_in_hole_3
| ~ pigeon_4_in_hole_3 ),
inference(cnf_transformation,[],[f84]) ).
tcf(c_337,negated_conjecture,
( ~ pigeon_7_in_hole_3
| ~ pigeon_4_in_hole_3 ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_338,negated_conjecture,
( ~ pigeon_8_in_hole_3
| ~ pigeon_4_in_hole_3 ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_339,negated_conjecture,
( ~ pigeon_6_in_hole_3
| ~ pigeon_5_in_hole_3 ),
inference(cnf_transformation,[],[f87]) ).
tcf(c_340,negated_conjecture,
( ~ pigeon_7_in_hole_3
| ~ pigeon_5_in_hole_3 ),
inference(cnf_transformation,[],[f88]) ).
tcf(c_341,negated_conjecture,
( ~ pigeon_8_in_hole_3
| ~ pigeon_5_in_hole_3 ),
inference(cnf_transformation,[],[f89]) ).
tcf(c_342,negated_conjecture,
( ~ pigeon_7_in_hole_3
| ~ pigeon_6_in_hole_3 ),
inference(cnf_transformation,[],[f90]) ).
tcf(c_343,negated_conjecture,
( ~ pigeon_8_in_hole_3
| ~ pigeon_6_in_hole_3 ),
inference(cnf_transformation,[],[f91]) ).
tcf(c_344,negated_conjecture,
( ~ pigeon_8_in_hole_3
| ~ pigeon_7_in_hole_3 ),
inference(cnf_transformation,[],[f92]) ).
tcf(c_345,negated_conjecture,
( ~ pigeon_2_in_hole_4
| ~ pigeon_1_in_hole_4 ),
inference(cnf_transformation,[],[f93]) ).
tcf(c_346,negated_conjecture,
( ~ pigeon_3_in_hole_4
| ~ pigeon_1_in_hole_4 ),
inference(cnf_transformation,[],[f94]) ).
tcf(c_347,negated_conjecture,
( ~ pigeon_4_in_hole_4
| ~ pigeon_1_in_hole_4 ),
inference(cnf_transformation,[],[f95]) ).
tcf(c_348,negated_conjecture,
( ~ pigeon_5_in_hole_4
| ~ pigeon_1_in_hole_4 ),
inference(cnf_transformation,[],[f96]) ).
tcf(c_349,negated_conjecture,
( ~ pigeon_6_in_hole_4
| ~ pigeon_1_in_hole_4 ),
inference(cnf_transformation,[],[f97]) ).
tcf(c_350,negated_conjecture,
( ~ pigeon_7_in_hole_4
| ~ pigeon_1_in_hole_4 ),
inference(cnf_transformation,[],[f98]) ).
tcf(c_351,negated_conjecture,
( ~ pigeon_8_in_hole_4
| ~ pigeon_1_in_hole_4 ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_352,negated_conjecture,
( ~ pigeon_3_in_hole_4
| ~ pigeon_2_in_hole_4 ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_353,negated_conjecture,
( ~ pigeon_4_in_hole_4
| ~ pigeon_2_in_hole_4 ),
inference(cnf_transformation,[],[f101]) ).
tcf(c_354,negated_conjecture,
( ~ pigeon_5_in_hole_4
| ~ pigeon_2_in_hole_4 ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_355,negated_conjecture,
( ~ pigeon_6_in_hole_4
| ~ pigeon_2_in_hole_4 ),
inference(cnf_transformation,[],[f103]) ).
tcf(c_356,negated_conjecture,
( ~ pigeon_7_in_hole_4
| ~ pigeon_2_in_hole_4 ),
inference(cnf_transformation,[],[f104]) ).
tcf(c_357,negated_conjecture,
( ~ pigeon_8_in_hole_4
| ~ pigeon_2_in_hole_4 ),
inference(cnf_transformation,[],[f105]) ).
tcf(c_358,negated_conjecture,
( ~ pigeon_4_in_hole_4
| ~ pigeon_3_in_hole_4 ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_359,negated_conjecture,
( ~ pigeon_5_in_hole_4
| ~ pigeon_3_in_hole_4 ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_360,negated_conjecture,
( ~ pigeon_6_in_hole_4
| ~ pigeon_3_in_hole_4 ),
inference(cnf_transformation,[],[f108]) ).
tcf(c_361,negated_conjecture,
( ~ pigeon_7_in_hole_4
| ~ pigeon_3_in_hole_4 ),
inference(cnf_transformation,[],[f109]) ).
tcf(c_362,negated_conjecture,
( ~ pigeon_8_in_hole_4
| ~ pigeon_3_in_hole_4 ),
inference(cnf_transformation,[],[f110]) ).
tcf(c_363,negated_conjecture,
( ~ pigeon_5_in_hole_4
| ~ pigeon_4_in_hole_4 ),
inference(cnf_transformation,[],[f111]) ).
tcf(c_364,negated_conjecture,
( ~ pigeon_6_in_hole_4
| ~ pigeon_4_in_hole_4 ),
inference(cnf_transformation,[],[f112]) ).
tcf(c_365,negated_conjecture,
( ~ pigeon_7_in_hole_4
| ~ pigeon_4_in_hole_4 ),
inference(cnf_transformation,[],[f113]) ).
tcf(c_366,negated_conjecture,
( ~ pigeon_8_in_hole_4
| ~ pigeon_4_in_hole_4 ),
inference(cnf_transformation,[],[f114]) ).
tcf(c_367,negated_conjecture,
( ~ pigeon_6_in_hole_4
| ~ pigeon_5_in_hole_4 ),
inference(cnf_transformation,[],[f115]) ).
tcf(c_368,negated_conjecture,
( ~ pigeon_7_in_hole_4
| ~ pigeon_5_in_hole_4 ),
inference(cnf_transformation,[],[f116]) ).
tcf(c_369,negated_conjecture,
( ~ pigeon_8_in_hole_4
| ~ pigeon_5_in_hole_4 ),
inference(cnf_transformation,[],[f117]) ).
tcf(c_370,negated_conjecture,
( ~ pigeon_7_in_hole_4
| ~ pigeon_6_in_hole_4 ),
inference(cnf_transformation,[],[f118]) ).
tcf(c_371,negated_conjecture,
( ~ pigeon_8_in_hole_4
| ~ pigeon_6_in_hole_4 ),
inference(cnf_transformation,[],[f119]) ).
tcf(c_372,negated_conjecture,
( ~ pigeon_8_in_hole_4
| ~ pigeon_7_in_hole_4 ),
inference(cnf_transformation,[],[f120]) ).
tcf(c_373,negated_conjecture,
( ~ pigeon_2_in_hole_5
| ~ pigeon_1_in_hole_5 ),
inference(cnf_transformation,[],[f121]) ).
tcf(c_374,negated_conjecture,
( ~ pigeon_3_in_hole_5
| ~ pigeon_1_in_hole_5 ),
inference(cnf_transformation,[],[f122]) ).
tcf(c_375,negated_conjecture,
( ~ pigeon_4_in_hole_5
| ~ pigeon_1_in_hole_5 ),
inference(cnf_transformation,[],[f123]) ).
tcf(c_376,negated_conjecture,
( ~ pigeon_5_in_hole_5
| ~ pigeon_1_in_hole_5 ),
inference(cnf_transformation,[],[f124]) ).
tcf(c_377,negated_conjecture,
( ~ pigeon_6_in_hole_5
| ~ pigeon_1_in_hole_5 ),
inference(cnf_transformation,[],[f125]) ).
tcf(c_378,negated_conjecture,
( ~ pigeon_7_in_hole_5
| ~ pigeon_1_in_hole_5 ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_379,negated_conjecture,
( ~ pigeon_8_in_hole_5
| ~ pigeon_1_in_hole_5 ),
inference(cnf_transformation,[],[f127]) ).
tcf(c_380,negated_conjecture,
( ~ pigeon_3_in_hole_5
| ~ pigeon_2_in_hole_5 ),
inference(cnf_transformation,[],[f128]) ).
tcf(c_381,negated_conjecture,
( ~ pigeon_4_in_hole_5
| ~ pigeon_2_in_hole_5 ),
inference(cnf_transformation,[],[f129]) ).
tcf(c_382,negated_conjecture,
( ~ pigeon_5_in_hole_5
| ~ pigeon_2_in_hole_5 ),
inference(cnf_transformation,[],[f130]) ).
tcf(c_383,negated_conjecture,
( ~ pigeon_6_in_hole_5
| ~ pigeon_2_in_hole_5 ),
inference(cnf_transformation,[],[f131]) ).
tcf(c_384,negated_conjecture,
( ~ pigeon_7_in_hole_5
| ~ pigeon_2_in_hole_5 ),
inference(cnf_transformation,[],[f132]) ).
tcf(c_385,negated_conjecture,
( ~ pigeon_8_in_hole_5
| ~ pigeon_2_in_hole_5 ),
inference(cnf_transformation,[],[f133]) ).
tcf(c_386,negated_conjecture,
( ~ pigeon_4_in_hole_5
| ~ pigeon_3_in_hole_5 ),
inference(cnf_transformation,[],[f134]) ).
tcf(c_387,negated_conjecture,
( ~ pigeon_5_in_hole_5
| ~ pigeon_3_in_hole_5 ),
inference(cnf_transformation,[],[f135]) ).
tcf(c_388,negated_conjecture,
( ~ pigeon_6_in_hole_5
| ~ pigeon_3_in_hole_5 ),
inference(cnf_transformation,[],[f136]) ).
tcf(c_389,negated_conjecture,
( ~ pigeon_7_in_hole_5
| ~ pigeon_3_in_hole_5 ),
inference(cnf_transformation,[],[f137]) ).
tcf(c_390,negated_conjecture,
( ~ pigeon_8_in_hole_5
| ~ pigeon_3_in_hole_5 ),
inference(cnf_transformation,[],[f138]) ).
tcf(c_391,negated_conjecture,
( ~ pigeon_5_in_hole_5
| ~ pigeon_4_in_hole_5 ),
inference(cnf_transformation,[],[f139]) ).
tcf(c_392,negated_conjecture,
( ~ pigeon_6_in_hole_5
| ~ pigeon_4_in_hole_5 ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_393,negated_conjecture,
( ~ pigeon_7_in_hole_5
| ~ pigeon_4_in_hole_5 ),
inference(cnf_transformation,[],[f141]) ).
tcf(c_394,negated_conjecture,
( ~ pigeon_8_in_hole_5
| ~ pigeon_4_in_hole_5 ),
inference(cnf_transformation,[],[f142]) ).
tcf(c_395,negated_conjecture,
( ~ pigeon_6_in_hole_5
| ~ pigeon_5_in_hole_5 ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_396,negated_conjecture,
( ~ pigeon_7_in_hole_5
| ~ pigeon_5_in_hole_5 ),
inference(cnf_transformation,[],[f144]) ).
tcf(c_397,negated_conjecture,
( ~ pigeon_8_in_hole_5
| ~ pigeon_5_in_hole_5 ),
inference(cnf_transformation,[],[f145]) ).
tcf(c_398,negated_conjecture,
( ~ pigeon_7_in_hole_5
| ~ pigeon_6_in_hole_5 ),
inference(cnf_transformation,[],[f146]) ).
tcf(c_399,negated_conjecture,
( ~ pigeon_8_in_hole_5
| ~ pigeon_6_in_hole_5 ),
inference(cnf_transformation,[],[f147]) ).
tcf(c_400,negated_conjecture,
( ~ pigeon_8_in_hole_5
| ~ pigeon_7_in_hole_5 ),
inference(cnf_transformation,[],[f148]) ).
tcf(c_401,negated_conjecture,
( ~ pigeon_2_in_hole_6
| ~ pigeon_1_in_hole_6 ),
inference(cnf_transformation,[],[f149]) ).
tcf(c_402,negated_conjecture,
( ~ pigeon_3_in_hole_6
| ~ pigeon_1_in_hole_6 ),
inference(cnf_transformation,[],[f150]) ).
tcf(c_403,negated_conjecture,
( ~ pigeon_4_in_hole_6
| ~ pigeon_1_in_hole_6 ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_404,negated_conjecture,
( ~ pigeon_5_in_hole_6
| ~ pigeon_1_in_hole_6 ),
inference(cnf_transformation,[],[f152]) ).
tcf(c_405,negated_conjecture,
( ~ pigeon_6_in_hole_6
| ~ pigeon_1_in_hole_6 ),
inference(cnf_transformation,[],[f153]) ).
tcf(c_406,negated_conjecture,
( ~ pigeon_7_in_hole_6
| ~ pigeon_1_in_hole_6 ),
inference(cnf_transformation,[],[f154]) ).
tcf(c_407,negated_conjecture,
( ~ pigeon_8_in_hole_6
| ~ pigeon_1_in_hole_6 ),
inference(cnf_transformation,[],[f155]) ).
tcf(c_408,negated_conjecture,
( ~ pigeon_3_in_hole_6
| ~ pigeon_2_in_hole_6 ),
inference(cnf_transformation,[],[f156]) ).
tcf(c_409,negated_conjecture,
( ~ pigeon_4_in_hole_6
| ~ pigeon_2_in_hole_6 ),
inference(cnf_transformation,[],[f157]) ).
tcf(c_410,negated_conjecture,
( ~ pigeon_5_in_hole_6
| ~ pigeon_2_in_hole_6 ),
inference(cnf_transformation,[],[f158]) ).
tcf(c_411,negated_conjecture,
( ~ pigeon_6_in_hole_6
| ~ pigeon_2_in_hole_6 ),
inference(cnf_transformation,[],[f159]) ).
tcf(c_412,negated_conjecture,
( ~ pigeon_7_in_hole_6
| ~ pigeon_2_in_hole_6 ),
inference(cnf_transformation,[],[f160]) ).
tcf(c_413,negated_conjecture,
( ~ pigeon_8_in_hole_6
| ~ pigeon_2_in_hole_6 ),
inference(cnf_transformation,[],[f161]) ).
tcf(c_414,negated_conjecture,
( ~ pigeon_4_in_hole_6
| ~ pigeon_3_in_hole_6 ),
inference(cnf_transformation,[],[f162]) ).
tcf(c_415,negated_conjecture,
( ~ pigeon_5_in_hole_6
| ~ pigeon_3_in_hole_6 ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_416,negated_conjecture,
( ~ pigeon_6_in_hole_6
| ~ pigeon_3_in_hole_6 ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_417,negated_conjecture,
( ~ pigeon_7_in_hole_6
| ~ pigeon_3_in_hole_6 ),
inference(cnf_transformation,[],[f165]) ).
tcf(c_418,negated_conjecture,
( ~ pigeon_8_in_hole_6
| ~ pigeon_3_in_hole_6 ),
inference(cnf_transformation,[],[f166]) ).
tcf(c_419,negated_conjecture,
( ~ pigeon_5_in_hole_6
| ~ pigeon_4_in_hole_6 ),
inference(cnf_transformation,[],[f167]) ).
tcf(c_420,negated_conjecture,
( ~ pigeon_6_in_hole_6
| ~ pigeon_4_in_hole_6 ),
inference(cnf_transformation,[],[f168]) ).
tcf(c_421,negated_conjecture,
( ~ pigeon_7_in_hole_6
| ~ pigeon_4_in_hole_6 ),
inference(cnf_transformation,[],[f169]) ).
tcf(c_422,negated_conjecture,
( ~ pigeon_8_in_hole_6
| ~ pigeon_4_in_hole_6 ),
inference(cnf_transformation,[],[f170]) ).
tcf(c_423,negated_conjecture,
( ~ pigeon_6_in_hole_6
| ~ pigeon_5_in_hole_6 ),
inference(cnf_transformation,[],[f171]) ).
tcf(c_424,negated_conjecture,
( ~ pigeon_7_in_hole_6
| ~ pigeon_5_in_hole_6 ),
inference(cnf_transformation,[],[f172]) ).
tcf(c_425,negated_conjecture,
( ~ pigeon_8_in_hole_6
| ~ pigeon_5_in_hole_6 ),
inference(cnf_transformation,[],[f173]) ).
tcf(c_426,negated_conjecture,
( ~ pigeon_7_in_hole_6
| ~ pigeon_6_in_hole_6 ),
inference(cnf_transformation,[],[f174]) ).
tcf(c_427,negated_conjecture,
( ~ pigeon_8_in_hole_6
| ~ pigeon_6_in_hole_6 ),
inference(cnf_transformation,[],[f175]) ).
tcf(c_428,negated_conjecture,
( ~ pigeon_8_in_hole_6
| ~ pigeon_7_in_hole_6 ),
inference(cnf_transformation,[],[f176]) ).
tcf(c_429,negated_conjecture,
( ~ pigeon_2_in_hole_7
| ~ pigeon_1_in_hole_7 ),
inference(cnf_transformation,[],[f177]) ).
tcf(c_430,negated_conjecture,
( ~ pigeon_3_in_hole_7
| ~ pigeon_1_in_hole_7 ),
inference(cnf_transformation,[],[f178]) ).
tcf(c_431,negated_conjecture,
( ~ pigeon_4_in_hole_7
| ~ pigeon_1_in_hole_7 ),
inference(cnf_transformation,[],[f179]) ).
tcf(c_432,negated_conjecture,
( ~ pigeon_5_in_hole_7
| ~ pigeon_1_in_hole_7 ),
inference(cnf_transformation,[],[f180]) ).
tcf(c_433,negated_conjecture,
( ~ pigeon_6_in_hole_7
| ~ pigeon_1_in_hole_7 ),
inference(cnf_transformation,[],[f181]) ).
tcf(c_434,negated_conjecture,
( ~ pigeon_7_in_hole_7
| ~ pigeon_1_in_hole_7 ),
inference(cnf_transformation,[],[f182]) ).
tcf(c_435,negated_conjecture,
( ~ pigeon_8_in_hole_7
| ~ pigeon_1_in_hole_7 ),
inference(cnf_transformation,[],[f183]) ).
tcf(c_436,negated_conjecture,
( ~ pigeon_3_in_hole_7
| ~ pigeon_2_in_hole_7 ),
inference(cnf_transformation,[],[f184]) ).
tcf(c_437,negated_conjecture,
( ~ pigeon_4_in_hole_7
| ~ pigeon_2_in_hole_7 ),
inference(cnf_transformation,[],[f185]) ).
tcf(c_438,negated_conjecture,
( ~ pigeon_5_in_hole_7
| ~ pigeon_2_in_hole_7 ),
inference(cnf_transformation,[],[f186]) ).
tcf(c_439,negated_conjecture,
( ~ pigeon_6_in_hole_7
| ~ pigeon_2_in_hole_7 ),
inference(cnf_transformation,[],[f187]) ).
tcf(c_440,negated_conjecture,
( ~ pigeon_7_in_hole_7
| ~ pigeon_2_in_hole_7 ),
inference(cnf_transformation,[],[f188]) ).
tcf(c_441,negated_conjecture,
( ~ pigeon_8_in_hole_7
| ~ pigeon_2_in_hole_7 ),
inference(cnf_transformation,[],[f189]) ).
tcf(c_442,negated_conjecture,
( ~ pigeon_4_in_hole_7
| ~ pigeon_3_in_hole_7 ),
inference(cnf_transformation,[],[f190]) ).
tcf(c_443,negated_conjecture,
( ~ pigeon_5_in_hole_7
| ~ pigeon_3_in_hole_7 ),
inference(cnf_transformation,[],[f191]) ).
tcf(c_444,negated_conjecture,
( ~ pigeon_6_in_hole_7
| ~ pigeon_3_in_hole_7 ),
inference(cnf_transformation,[],[f192]) ).
tcf(c_445,negated_conjecture,
( ~ pigeon_7_in_hole_7
| ~ pigeon_3_in_hole_7 ),
inference(cnf_transformation,[],[f193]) ).
tcf(c_446,negated_conjecture,
( ~ pigeon_8_in_hole_7
| ~ pigeon_3_in_hole_7 ),
inference(cnf_transformation,[],[f194]) ).
tcf(c_447,negated_conjecture,
( ~ pigeon_5_in_hole_7
| ~ pigeon_4_in_hole_7 ),
inference(cnf_transformation,[],[f195]) ).
tcf(c_448,negated_conjecture,
( ~ pigeon_6_in_hole_7
| ~ pigeon_4_in_hole_7 ),
inference(cnf_transformation,[],[f196]) ).
tcf(c_449,negated_conjecture,
( ~ pigeon_7_in_hole_7
| ~ pigeon_4_in_hole_7 ),
inference(cnf_transformation,[],[f197]) ).
tcf(c_450,negated_conjecture,
( ~ pigeon_8_in_hole_7
| ~ pigeon_4_in_hole_7 ),
inference(cnf_transformation,[],[f198]) ).
tcf(c_451,negated_conjecture,
( ~ pigeon_6_in_hole_7
| ~ pigeon_5_in_hole_7 ),
inference(cnf_transformation,[],[f199]) ).
tcf(c_452,negated_conjecture,
( ~ pigeon_7_in_hole_7
| ~ pigeon_5_in_hole_7 ),
inference(cnf_transformation,[],[f200]) ).
tcf(c_453,negated_conjecture,
( ~ pigeon_8_in_hole_7
| ~ pigeon_5_in_hole_7 ),
inference(cnf_transformation,[],[f201]) ).
tcf(c_454,negated_conjecture,
( ~ pigeon_7_in_hole_7
| ~ pigeon_6_in_hole_7 ),
inference(cnf_transformation,[],[f202]) ).
tcf(c_455,negated_conjecture,
( ~ pigeon_8_in_hole_7
| ~ pigeon_6_in_hole_7 ),
inference(cnf_transformation,[],[f203]) ).
tcf(c_456,negated_conjecture,
( ~ pigeon_8_in_hole_7
| ~ pigeon_7_in_hole_7 ),
inference(cnf_transformation,[],[f204]) ).
tcf(c_457,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_253,c_254,c_255,c_256,c_257,c_258,c_259,c_260,c_261,c_262,c_263,c_264,c_265,c_266,c_267,c_268,c_269,c_270,c_271,c_272,c_273,c_274,c_275,c_276,c_277,c_278,c_279,c_280,c_281,c_282,c_283,c_284,c_285,c_286,c_287,c_288,c_289,c_290,c_291,c_292,c_293,c_294,c_295,c_296,c_297,c_298,c_299,c_300,c_301,c_302,c_303,c_304,c_305,c_306,c_307,c_308,c_309,c_310,c_311,c_312,c_313,c_314,c_315,c_316,c_317,c_318,c_319,c_320,c_321,c_322,c_323,c_324,c_325,c_326,c_327,c_328,c_329,c_330,c_331,c_332,c_333,c_334,c_335,c_336,c_337,c_338,c_339,c_340,c_341,c_342,c_343,c_344,c_345,c_346,c_347,c_348,c_349,c_350,c_351,c_352,c_353,c_354,c_355,c_356,c_357,c_358,c_359,c_360,c_361,c_362,c_363,c_364,c_365,c_366,c_367,c_368,c_369,c_370,c_371,c_372,c_373,c_374,c_375,c_376,c_377,c_378,c_379,c_380,c_381,c_382,c_383,c_384,c_385,c_386,c_387,c_388,c_389,c_390,c_391,c_392,c_393,c_394,c_395,c_396,c_397,c_398,c_399,c_400,c_401,c_402,c_403,c_404,c_405,c_406,c_407,c_408,c_409,c_410,c_411,c_412,c_413,c_414,c_415,c_416,c_417,c_418,c_419,c_420,c_421,c_422,c_423,c_424,c_425,c_426,c_427,c_428,c_429,c_430,c_431,c_432,c_433,c_434,c_435,c_436,c_437,c_438,c_439,c_440,c_441,c_442,c_443,c_444,c_445,c_446,c_447,c_448,c_449,c_450,c_451,c_452,c_453,c_454,c_455,c_456]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : MSC007-1.008 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.06/10.53 % Computer : n012.cluster.edu
% 0.06/10.53 % Model : x86_64 x86_64
% 0.06/10.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/10.53 % Memory : 8046.5625MB
% 0.06/10.53 % OS : Linux 6.8.0-71-generic
% 0.06/10.53 % CPULimit : 300
% 0.06/10.53 % WCLimit : 300
% 0.06/10.53 % DateTime : Thu Sep 24 01:26:52 UTC 2026
% 0.06/10.53 % CPUTime :
% 0.06/10.53 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.06/10.55 Running first-order theorem proving
% 0.06/10.55 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/10.55
% 0.06/10.55 % ======== iProver multi-core TPTP/SMT =========
% 0.06/10.55
% 0.06/10.55 % Detected problem language: tptp
% 0.06/10.56 % Proving...
% 0.17/11.18 % SZS status Started for theBenchmark.p
% 0.17/11.18 % SZS status Unsatisfiable for theBenchmark.p
% 0.17/11.18
% 0.17/11.18 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.17/11.18
% 0.17/11.18 % ------ iProver source info
% 0.17/11.18
% 0.17/11.18 % git: date: 2026-07-19 20:42:38 +0200
% 0.17/11.18 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.17/11.18 % git: non_committed_changes: false
% 0.17/11.18
% 0.17/11.18 % ------ Parsing...% successful
% 0.17/11.18
% 0.17/11.18
% 0.17/11.18 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 0.17/11.18 %
% 0.17/11.18
% 0.17/11.18 % ------ Preprocessing...%
% 0.17/11.18
% 0.17/11.18 % SZS status Unsatisfiable for theBenchmark.p
% 0.17/11.18
% 0.17/11.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.17/11.19
%------------------------------------------------------------------------------