TSTP Solution File: MSC007-2.005 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : MSC007-2.005 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 22:58:28 EDT 2022
% Result : Unsatisfiable 1.47s 1.64s
% Output : Refutation 1.47s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
cnf(pigeon_1,axiom,
pigeon(pigeon_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pigeon_1) ).
cnf(pigeon_2,axiom,
pigeon(pigeon_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pigeon_2) ).
cnf(pigeon_3,axiom,
pigeon(pigeon_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pigeon_3) ).
cnf(pigeon_4,axiom,
pigeon(pigeon_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pigeon_4) ).
cnf(pigeon_5,axiom,
pigeon(pigeon_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pigeon_5) ).
cnf(pigeon_1_is_not_pigeon_2,axiom,
pigeon_1 != pigeon_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pigeon_1_is_not_pigeon_2) ).
cnf(pigeon_1_is_not_pigeon_3,axiom,
pigeon_1 != pigeon_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pigeon_1_is_not_pigeon_3) ).
cnf(pigeon_1_is_not_pigeon_4,axiom,
pigeon_1 != pigeon_4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pigeon_1_is_not_pigeon_4) ).
cnf(pigeon_1_is_not_pigeon_5,axiom,
pigeon_1 != pigeon_5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pigeon_1_is_not_pigeon_5) ).
cnf(pigeon_2_is_not_pigeon_3,axiom,
pigeon_2 != pigeon_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pigeon_2_is_not_pigeon_3) ).
cnf(pigeon_2_is_not_pigeon_4,axiom,
pigeon_2 != pigeon_4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pigeon_2_is_not_pigeon_4) ).
cnf(pigeon_2_is_not_pigeon_5,axiom,
pigeon_2 != pigeon_5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pigeon_2_is_not_pigeon_5) ).
cnf(pigeon_3_is_not_pigeon_4,axiom,
pigeon_3 != pigeon_4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pigeon_3_is_not_pigeon_4) ).
cnf(pigeon_3_is_not_pigeon_5,axiom,
pigeon_3 != pigeon_5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pigeon_3_is_not_pigeon_5) ).
cnf(pigeon_4_is_not_pigeon_5,axiom,
pigeon_4 != pigeon_5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pigeon_4_is_not_pigeon_5) ).
cnf(all_holes,axiom,
( ~ hole(X)
| X = hole_1
| X = hole_2
| X = hole_3
| X = hole_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',all_holes) ).
cnf(each_pigeons_hole1,axiom,
( ~ pigeon(X)
| hole(hole_of(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',each_pigeons_hole1) ).
cnf(each_pigeons_hole2,axiom,
( ~ pigeon(X)
| in(X,hole_of(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',each_pigeons_hole2) ).
cnf(only_one_per_hole,negated_conjecture,
( ~ hole(X)
| ~ pigeon(Y)
| ~ pigeon(Z)
| ~ in(Y,X)
| ~ in(Z,X)
| Y = Z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',only_one_per_hole) ).
cnf(31,plain,
hole(hole_of(pigeon_5)),
inference('HYPERRESOLVE',[status(thm)],[each_pigeons_hole1,pigeon_5]) ).
cnf(32,plain,
hole(hole_of(pigeon_4)),
inference('HYPERRESOLVE',[status(thm)],[each_pigeons_hole1,pigeon_4]) ).
cnf(33,plain,
hole(hole_of(pigeon_3)),
inference('HYPERRESOLVE',[status(thm)],[each_pigeons_hole1,pigeon_3]) ).
cnf(34,plain,
hole(hole_of(pigeon_2)),
inference('HYPERRESOLVE',[status(thm)],[each_pigeons_hole1,pigeon_2]) ).
cnf(35,plain,
hole(hole_of(pigeon_1)),
inference('HYPERRESOLVE',[status(thm)],[each_pigeons_hole1,pigeon_1]) ).
cnf(36,plain,
in(pigeon_5,hole_of(pigeon_5)),
inference('HYPERRESOLVE',[status(thm)],[each_pigeons_hole2,pigeon_5]) ).
cnf(37,plain,
in(pigeon_4,hole_of(pigeon_4)),
inference('HYPERRESOLVE',[status(thm)],[each_pigeons_hole2,pigeon_4]) ).
cnf(38,plain,
in(pigeon_3,hole_of(pigeon_3)),
inference('HYPERRESOLVE',[status(thm)],[each_pigeons_hole2,pigeon_3]) ).
cnf(39,plain,
in(pigeon_2,hole_of(pigeon_2)),
inference('HYPERRESOLVE',[status(thm)],[each_pigeons_hole2,pigeon_2]) ).
cnf(40,plain,
in(pigeon_1,hole_of(pigeon_1)),
inference('HYPERRESOLVE',[status(thm)],[each_pigeons_hole2,pigeon_1]) ).
cnf(41,plain,
( hole_of(pigeon_5) = hole_1
| hole_of(pigeon_5) = hole_2
| hole_of(pigeon_5) = hole_3
| hole_of(pigeon_5) = hole_4 ),
inference('HYPERRESOLVE',[status(thm)],[all_holes,31]) ).
cnf(42,plain,
( hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_4) = hole_3
| hole_of(pigeon_4) = hole_4 ),
inference('HYPERRESOLVE',[status(thm)],[all_holes,32]) ).
cnf(43,plain,
( hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_3) = hole_3
| hole_of(pigeon_3) = hole_4 ),
inference('HYPERRESOLVE',[status(thm)],[all_holes,33]) ).
cnf(44,plain,
( hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3
| hole_of(pigeon_2) = hole_4 ),
inference('HYPERRESOLVE',[status(thm)],[all_holes,34]) ).
cnf(45,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| hole_of(pigeon_1) = hole_4 ),
inference('HYPERRESOLVE',[status(thm)],[all_holes,35]) ).
cnf(46,plain,
~ in(pigeon_4,hole_of(pigeon_5)),
inference('UR-RESOLVE',[status(thm)],[only_one_per_hole,36,31,pigeon_5,pigeon_4,pigeon_4_is_not_pigeon_5]) ).
cnf(47,plain,
~ in(pigeon_3,hole_of(pigeon_5)),
inference('UR-RESOLVE',[status(thm)],[only_one_per_hole,36,31,pigeon_5,pigeon_3,pigeon_3_is_not_pigeon_5]) ).
cnf(48,plain,
~ in(pigeon_2,hole_of(pigeon_5)),
inference('UR-RESOLVE',[status(thm)],[only_one_per_hole,36,31,pigeon_5,pigeon_2,pigeon_2_is_not_pigeon_5]) ).
cnf(49,plain,
~ in(pigeon_1,hole_of(pigeon_5)),
inference('UR-RESOLVE',[status(thm)],[only_one_per_hole,36,31,pigeon_5,pigeon_1,pigeon_1_is_not_pigeon_5]) ).
cnf(50,plain,
~ in(pigeon_5,hole_of(pigeon_4)),
inference('UR-RESOLVE',[status(thm)],[only_one_per_hole,37,32,pigeon_4,pigeon_5,pigeon_4_is_not_pigeon_5]) ).
cnf(51,plain,
~ in(pigeon_3,hole_of(pigeon_4)),
inference('UR-RESOLVE',[status(thm)],[only_one_per_hole,37,32,pigeon_4,pigeon_3,pigeon_3_is_not_pigeon_4]) ).
cnf(52,plain,
~ in(pigeon_2,hole_of(pigeon_4)),
inference('UR-RESOLVE',[status(thm)],[only_one_per_hole,37,32,pigeon_4,pigeon_2,pigeon_2_is_not_pigeon_4]) ).
cnf(53,plain,
~ in(pigeon_1,hole_of(pigeon_4)),
inference('UR-RESOLVE',[status(thm)],[only_one_per_hole,37,32,pigeon_4,pigeon_1,pigeon_1_is_not_pigeon_4]) ).
cnf(54,plain,
~ in(pigeon_5,hole_of(pigeon_3)),
inference('UR-RESOLVE',[status(thm)],[only_one_per_hole,38,33,pigeon_3,pigeon_5,pigeon_3_is_not_pigeon_5]) ).
cnf(55,plain,
~ in(pigeon_4,hole_of(pigeon_3)),
inference('UR-RESOLVE',[status(thm)],[only_one_per_hole,38,33,pigeon_3,pigeon_4,pigeon_3_is_not_pigeon_4]) ).
cnf(56,plain,
~ in(pigeon_2,hole_of(pigeon_3)),
inference('UR-RESOLVE',[status(thm)],[only_one_per_hole,38,33,pigeon_3,pigeon_2,pigeon_2_is_not_pigeon_3]) ).
cnf(57,plain,
~ in(pigeon_1,hole_of(pigeon_3)),
inference('UR-RESOLVE',[status(thm)],[only_one_per_hole,38,33,pigeon_3,pigeon_1,pigeon_1_is_not_pigeon_3]) ).
cnf(58,plain,
~ in(pigeon_5,hole_of(pigeon_2)),
inference('UR-RESOLVE',[status(thm)],[only_one_per_hole,39,34,pigeon_2,pigeon_5,pigeon_2_is_not_pigeon_5]) ).
cnf(59,plain,
~ in(pigeon_4,hole_of(pigeon_2)),
inference('UR-RESOLVE',[status(thm)],[only_one_per_hole,39,34,pigeon_2,pigeon_4,pigeon_2_is_not_pigeon_4]) ).
cnf(60,plain,
~ in(pigeon_3,hole_of(pigeon_2)),
inference('UR-RESOLVE',[status(thm)],[only_one_per_hole,39,34,pigeon_2,pigeon_3,pigeon_2_is_not_pigeon_3]) ).
cnf(61,plain,
~ in(pigeon_1,hole_of(pigeon_2)),
inference('UR-RESOLVE',[status(thm)],[only_one_per_hole,39,34,pigeon_2,pigeon_1,pigeon_1_is_not_pigeon_2]) ).
cnf(62,plain,
~ in(pigeon_5,hole_of(pigeon_1)),
inference('UR-RESOLVE',[status(thm)],[only_one_per_hole,40,35,pigeon_1,pigeon_5,pigeon_1_is_not_pigeon_5]) ).
cnf(63,plain,
~ in(pigeon_4,hole_of(pigeon_1)),
inference('UR-RESOLVE',[status(thm)],[only_one_per_hole,40,35,pigeon_1,pigeon_4,pigeon_1_is_not_pigeon_4]) ).
cnf(64,plain,
~ in(pigeon_3,hole_of(pigeon_1)),
inference('UR-RESOLVE',[status(thm)],[only_one_per_hole,40,35,pigeon_1,pigeon_3,pigeon_1_is_not_pigeon_3]) ).
cnf(65,plain,
~ in(pigeon_2,hole_of(pigeon_1)),
inference('UR-RESOLVE',[status(thm)],[only_one_per_hole,40,35,pigeon_1,pigeon_2,pigeon_1_is_not_pigeon_2]) ).
cnf(70,plain,
( hole_of(pigeon_5) = hole_1
| hole_of(pigeon_5) = hole_2
| hole_of(pigeon_5) = hole_3
| in(pigeon_5,hole_4) ),
inference('PARAMODULATE',[status(thm)],[36,41,theory(equality)]) ).
cnf(74,plain,
( hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_4) = hole_3
| ~ in(pigeon_5,hole_4) ),
inference('PARAMODULATE',[status(thm)],[50,42,theory(equality)]) ).
cnf(75,plain,
( hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_4) = hole_3
| in(pigeon_4,hole_4) ),
inference('PARAMODULATE',[status(thm)],[37,42,theory(equality)]) ).
cnf(77,plain,
( hole_of(pigeon_5) = hole_1
| hole_of(pigeon_5) = hole_2
| hole_of(pigeon_5) = hole_3
| hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_4) = hole_3 ),
inference('HYPERRESOLVE',[status(thm)],[74,70]) ).
cnf(80,plain,
( hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_3) = hole_3
| ~ in(pigeon_4,hole_4) ),
inference('PARAMODULATE',[status(thm)],[55,43,theory(equality)]) ).
cnf(81,plain,
( hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_3) = hole_3
| ~ in(pigeon_5,hole_4) ),
inference('PARAMODULATE',[status(thm)],[54,43,theory(equality)]) ).
cnf(82,plain,
( hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_3) = hole_3
| in(pigeon_3,hole_4) ),
inference('PARAMODULATE',[status(thm)],[38,43,theory(equality)]) ).
cnf(85,plain,
( hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_4) = hole_3
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_3) = hole_3 ),
inference('HYPERRESOLVE',[status(thm)],[80,75]) ).
cnf(86,plain,
( hole_of(pigeon_5) = hole_1
| hole_of(pigeon_5) = hole_2
| hole_of(pigeon_5) = hole_3
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_3) = hole_3 ),
inference('HYPERRESOLVE',[status(thm)],[81,70]) ).
cnf(88,plain,
( hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3
| ~ in(pigeon_3,hole_4) ),
inference('PARAMODULATE',[status(thm)],[60,44,theory(equality)]) ).
cnf(89,plain,
( hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3
| ~ in(pigeon_4,hole_4) ),
inference('PARAMODULATE',[status(thm)],[59,44,theory(equality)]) ).
cnf(90,plain,
( hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3
| ~ in(pigeon_5,hole_4) ),
inference('PARAMODULATE',[status(thm)],[58,44,theory(equality)]) ).
cnf(91,plain,
( hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3
| in(pigeon_2,hole_4) ),
inference('PARAMODULATE',[status(thm)],[39,44,theory(equality)]) ).
cnf(95,plain,
( hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_3) = hole_3
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3 ),
inference('HYPERRESOLVE',[status(thm)],[88,82]) ).
cnf(96,plain,
( hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_4) = hole_3
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3 ),
inference('HYPERRESOLVE',[status(thm)],[89,75]) ).
cnf(97,plain,
( hole_of(pigeon_5) = hole_1
| hole_of(pigeon_5) = hole_2
| hole_of(pigeon_5) = hole_3
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3 ),
inference('HYPERRESOLVE',[status(thm)],[90,70]) ).
cnf(98,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| ~ in(pigeon_2,hole_4) ),
inference('PARAMODULATE',[status(thm)],[65,45,theory(equality)]) ).
cnf(99,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| ~ in(pigeon_3,hole_4) ),
inference('PARAMODULATE',[status(thm)],[64,45,theory(equality)]) ).
cnf(100,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| ~ in(pigeon_4,hole_4) ),
inference('PARAMODULATE',[status(thm)],[63,45,theory(equality)]) ).
cnf(101,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| ~ in(pigeon_5,hole_4) ),
inference('PARAMODULATE',[status(thm)],[62,45,theory(equality)]) ).
cnf(107,plain,
( hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3 ),
inference('HYPERRESOLVE',[status(thm)],[98,91]) ).
cnf(108,plain,
( hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_3) = hole_3
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3 ),
inference('HYPERRESOLVE',[status(thm)],[99,82]) ).
cnf(109,plain,
( hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_4) = hole_3
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3 ),
inference('HYPERRESOLVE',[status(thm)],[100,75]) ).
cnf(110,plain,
( hole_of(pigeon_5) = hole_1
| hole_of(pigeon_5) = hole_2
| hole_of(pigeon_5) = hole_3
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3 ),
inference('HYPERRESOLVE',[status(thm)],[101,70]) ).
cnf(115,plain,
( hole_of(pigeon_5) = hole_1
| hole_of(pigeon_5) = hole_2
| hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_4) = hole_3
| in(pigeon_5,hole_3) ),
inference('PARAMODULATE',[status(thm)],[36,77,theory(equality)]) ).
cnf(120,plain,
( hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_3) = hole_3
| in(pigeon_4,hole_3) ),
inference('PARAMODULATE',[status(thm)],[37,85,theory(equality)]) ).
cnf(124,plain,
( hole_of(pigeon_5) = hole_1
| hole_of(pigeon_5) = hole_2
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_3) = hole_3
| ~ in(pigeon_4,hole_3) ),
inference('PARAMODULATE',[status(thm)],[46,86,theory(equality)]) ).
cnf(125,plain,
( hole_of(pigeon_5) = hole_1
| hole_of(pigeon_5) = hole_2
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_3) = hole_3
| in(pigeon_5,hole_3) ),
inference('PARAMODULATE',[status(thm)],[36,86,theory(equality)]) ).
cnf(127,plain,
( hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_3) = hole_3
| hole_of(pigeon_5) = hole_1
| hole_of(pigeon_5) = hole_2 ),
inference('HYPERRESOLVE',[status(thm)],[124,120]) ).
cnf(132,plain,
( hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3
| in(pigeon_3,hole_3) ),
inference('PARAMODULATE',[status(thm)],[38,95,theory(equality)]) ).
cnf(135,plain,
( hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3
| ~ in(pigeon_3,hole_3) ),
inference('PARAMODULATE',[status(thm)],[51,96,theory(equality)]) ).
cnf(137,plain,
( hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3
| in(pigeon_4,hole_3) ),
inference('PARAMODULATE',[status(thm)],[37,96,theory(equality)]) ).
cnf(139,plain,
( hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3
| hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2 ),
inference('HYPERRESOLVE',[status(thm)],[135,132]) ).
cnf(142,plain,
( hole_of(pigeon_5) = hole_1
| hole_of(pigeon_5) = hole_2
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3
| ~ in(pigeon_3,hole_3) ),
inference('PARAMODULATE',[status(thm)],[47,97,theory(equality)]) ).
cnf(143,plain,
( hole_of(pigeon_5) = hole_1
| hole_of(pigeon_5) = hole_2
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3
| ~ in(pigeon_4,hole_3) ),
inference('PARAMODULATE',[status(thm)],[46,97,theory(equality)]) ).
cnf(144,plain,
( hole_of(pigeon_5) = hole_1
| hole_of(pigeon_5) = hole_2
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3
| in(pigeon_5,hole_3) ),
inference('PARAMODULATE',[status(thm)],[36,97,theory(equality)]) ).
cnf(147,plain,
( hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3
| hole_of(pigeon_5) = hole_1
| hole_of(pigeon_5) = hole_2 ),
inference('HYPERRESOLVE',[status(thm)],[142,132]) ).
cnf(148,plain,
( hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3
| hole_of(pigeon_5) = hole_1
| hole_of(pigeon_5) = hole_2 ),
inference('HYPERRESOLVE',[status(thm)],[143,137]) ).
cnf(153,plain,
( hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| in(pigeon_2,hole_3) ),
inference('PARAMODULATE',[status(thm)],[39,107,theory(equality)]) ).
cnf(155,plain,
( hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| ~ in(pigeon_2,hole_3) ),
inference('PARAMODULATE',[status(thm)],[56,108,theory(equality)]) ).
cnf(158,plain,
( hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| in(pigeon_3,hole_3) ),
inference('PARAMODULATE',[status(thm)],[38,108,theory(equality)]) ).
cnf(160,plain,
( hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2 ),
inference('HYPERRESOLVE',[status(thm)],[155,153]) ).
cnf(162,plain,
( hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| ~ in(pigeon_2,hole_3) ),
inference('PARAMODULATE',[status(thm)],[52,109,theory(equality)]) ).
cnf(163,plain,
( hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| ~ in(pigeon_3,hole_3) ),
inference('PARAMODULATE',[status(thm)],[51,109,theory(equality)]) ).
cnf(165,plain,
( hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| in(pigeon_4,hole_3) ),
inference('PARAMODULATE',[status(thm)],[37,109,theory(equality)]) ).
cnf(168,plain,
( hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2 ),
inference('HYPERRESOLVE',[status(thm)],[162,153]) ).
cnf(169,plain,
( hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2 ),
inference('HYPERRESOLVE',[status(thm)],[163,158]) ).
cnf(171,plain,
( hole_of(pigeon_5) = hole_1
| hole_of(pigeon_5) = hole_2
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| ~ in(pigeon_2,hole_3) ),
inference('PARAMODULATE',[status(thm)],[48,110,theory(equality)]) ).
cnf(172,plain,
( hole_of(pigeon_5) = hole_1
| hole_of(pigeon_5) = hole_2
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| ~ in(pigeon_3,hole_3) ),
inference('PARAMODULATE',[status(thm)],[47,110,theory(equality)]) ).
cnf(173,plain,
( hole_of(pigeon_5) = hole_1
| hole_of(pigeon_5) = hole_2
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| ~ in(pigeon_4,hole_3) ),
inference('PARAMODULATE',[status(thm)],[46,110,theory(equality)]) ).
cnf(178,plain,
( hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| hole_of(pigeon_5) = hole_1
| hole_of(pigeon_5) = hole_2 ),
inference('HYPERRESOLVE',[status(thm)],[171,153]) ).
cnf(179,plain,
( hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| hole_of(pigeon_5) = hole_1
| hole_of(pigeon_5) = hole_2 ),
inference('HYPERRESOLVE',[status(thm)],[172,158]) ).
cnf(180,plain,
( hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| hole_of(pigeon_5) = hole_1
| hole_of(pigeon_5) = hole_2 ),
inference('HYPERRESOLVE',[status(thm)],[173,165]) ).
cnf(185,plain,
( hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_3) = hole_3
| hole_of(pigeon_5) = hole_1
| in(pigeon_5,hole_2) ),
inference('PARAMODULATE',[status(thm)],[36,127,theory(equality)]) ).
cnf(190,plain,
( hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3
| hole_of(pigeon_4) = hole_1
| in(pigeon_4,hole_2) ),
inference('PARAMODULATE',[status(thm)],[37,139,theory(equality)]) ).
cnf(194,plain,
( hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3
| hole_of(pigeon_5) = hole_1
| ~ in(pigeon_4,hole_2) ),
inference('PARAMODULATE',[status(thm)],[46,147,theory(equality)]) ).
cnf(195,plain,
( hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3
| hole_of(pigeon_5) = hole_1
| in(pigeon_5,hole_2) ),
inference('PARAMODULATE',[status(thm)],[36,147,theory(equality)]) ).
cnf(197,plain,
( hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3
| hole_of(pigeon_4) = hole_1
| hole_of(pigeon_5) = hole_1 ),
inference('HYPERRESOLVE',[status(thm)],[194,190]) ).
cnf(202,plain,
( hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3
| hole_of(pigeon_5) = hole_1
| in(pigeon_5,hole_2) ),
inference('PARAMODULATE',[status(thm)],[36,148,theory(equality)]) ).
cnf(207,plain,
( hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| hole_of(pigeon_3) = hole_1
| in(pigeon_3,hole_2) ),
inference('PARAMODULATE',[status(thm)],[38,160,theory(equality)]) ).
cnf(210,plain,
( hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| hole_of(pigeon_4) = hole_1
| ~ in(pigeon_3,hole_2) ),
inference('PARAMODULATE',[status(thm)],[51,168,theory(equality)]) ).
cnf(212,plain,
( hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| hole_of(pigeon_4) = hole_1
| in(pigeon_4,hole_2) ),
inference('PARAMODULATE',[status(thm)],[37,168,theory(equality)]) ).
cnf(214,plain,
( hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_4) = hole_1 ),
inference('HYPERRESOLVE',[status(thm)],[210,207]) ).
cnf(219,plain,
( hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| hole_of(pigeon_4) = hole_1
| in(pigeon_4,hole_2) ),
inference('PARAMODULATE',[status(thm)],[37,169,theory(equality)]) ).
cnf(222,plain,
( hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| hole_of(pigeon_5) = hole_1
| ~ in(pigeon_3,hole_2) ),
inference('PARAMODULATE',[status(thm)],[47,178,theory(equality)]) ).
cnf(223,plain,
( hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| hole_of(pigeon_5) = hole_1
| ~ in(pigeon_4,hole_2) ),
inference('PARAMODULATE',[status(thm)],[46,178,theory(equality)]) ).
cnf(227,plain,
( hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_5) = hole_1 ),
inference('HYPERRESOLVE',[status(thm)],[222,207]) ).
cnf(228,plain,
( hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| hole_of(pigeon_4) = hole_1
| hole_of(pigeon_5) = hole_1 ),
inference('HYPERRESOLVE',[status(thm)],[223,212]) ).
cnf(232,plain,
( hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| hole_of(pigeon_5) = hole_1
| ~ in(pigeon_4,hole_2) ),
inference('PARAMODULATE',[status(thm)],[46,179,theory(equality)]) ).
cnf(233,plain,
( hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| hole_of(pigeon_5) = hole_1
| in(pigeon_5,hole_2) ),
inference('PARAMODULATE',[status(thm)],[36,179,theory(equality)]) ).
cnf(235,plain,
( hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| hole_of(pigeon_4) = hole_1
| hole_of(pigeon_5) = hole_1 ),
inference('HYPERRESOLVE',[status(thm)],[232,219]) ).
cnf(240,plain,
( hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| hole_of(pigeon_5) = hole_1
| in(pigeon_5,hole_2) ),
inference('PARAMODULATE',[status(thm)],[36,180,theory(equality)]) ).
cnf(241,plain,
( hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3
| hole_of(pigeon_4) = hole_1
| ~ in(pigeon_1,hole_1) ),
inference('PARAMODULATE',[status(thm)],[49,197,theory(equality)]) ).
cnf(250,plain,
( hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| hole_of(pigeon_3) = hole_1
| in(pigeon_4,hole_1) ),
inference('PARAMODULATE',[status(thm)],[37,214,theory(equality)]) ).
cnf(251,plain,
( hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| hole_of(pigeon_3) = hole_1
| ~ in(pigeon_4,hole_1) ),
inference('PARAMODULATE',[status(thm)],[46,227,theory(equality)]) ).
cnf(254,plain,
( hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| hole_of(pigeon_3) = hole_1 ),
inference('HYPERRESOLVE',[status(thm)],[251,250]) ).
cnf(259,plain,
( hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| in(pigeon_3,hole_1) ),
inference('PARAMODULATE',[status(thm)],[38,254,theory(equality)]) ).
cnf(260,plain,
( hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| hole_of(pigeon_4) = hole_1
| ~ in(pigeon_3,hole_1) ),
inference('PARAMODULATE',[status(thm)],[47,228,theory(equality)]) ).
cnf(263,plain,
( hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| hole_of(pigeon_4) = hole_1 ),
inference('HYPERRESOLVE',[status(thm)],[260,259]) ).
cnf(264,plain,
( hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| ~ in(pigeon_3,hole_1) ),
inference('PARAMODULATE',[status(thm)],[51,263,theory(equality)]) ).
cnf(267,plain,
( hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3 ),
inference('HYPERRESOLVE',[status(thm)],[264,259]) ).
cnf(270,plain,
( hole_of(pigeon_2) = hole_1
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| ~ in(pigeon_4,hole_2) ),
inference('PARAMODULATE',[status(thm)],[59,267,theory(equality)]) ).
cnf(271,plain,
( hole_of(pigeon_2) = hole_1
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| ~ in(pigeon_5,hole_2) ),
inference('PARAMODULATE',[status(thm)],[58,267,theory(equality)]) ).
cnf(272,plain,
( hole_of(pigeon_2) = hole_1
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| in(pigeon_2,hole_2) ),
inference('PARAMODULATE',[status(thm)],[39,267,theory(equality)]) ).
cnf(276,plain,
( hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| hole_of(pigeon_4) = hole_1
| hole_of(pigeon_2) = hole_1 ),
inference('HYPERRESOLVE',[status(thm)],[270,219]) ).
cnf(277,plain,
( hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| hole_of(pigeon_5) = hole_1
| hole_of(pigeon_2) = hole_1 ),
inference('HYPERRESOLVE',[status(thm)],[271,240]) ).
cnf(278,plain,
( hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| hole_of(pigeon_5) = hole_1
| hole_of(pigeon_2) = hole_1 ),
inference('HYPERRESOLVE',[status(thm)],[271,233]) ).
cnf(283,plain,
( hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| hole_of(pigeon_4) = hole_1
| in(pigeon_5,hole_1) ),
inference('PARAMODULATE',[status(thm)],[36,235,theory(equality)]) ).
cnf(288,plain,
( hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| hole_of(pigeon_2) = hole_1
| in(pigeon_4,hole_1) ),
inference('PARAMODULATE',[status(thm)],[37,276,theory(equality)]) ).
cnf(293,plain,
( hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| hole_of(pigeon_2) = hole_1
| in(pigeon_5,hole_1) ),
inference('PARAMODULATE',[status(thm)],[36,277,theory(equality)]) ).
cnf(294,plain,
( hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| hole_of(pigeon_2) = hole_1
| ~ in(pigeon_4,hole_1) ),
inference('PARAMODULATE',[status(thm)],[46,278,theory(equality)]) ).
cnf(297,plain,
( hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| hole_of(pigeon_2) = hole_1 ),
inference('HYPERRESOLVE',[status(thm)],[294,288]) ).
cnf(298,plain,
( hole_of(pigeon_3) = hole_1
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| hole_of(pigeon_2) = hole_1
| ~ in(pigeon_2,hole_2) ),
inference('PARAMODULATE',[status(thm)],[56,297,theory(equality)]) ).
cnf(301,plain,
( hole_of(pigeon_2) = hole_1
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| hole_of(pigeon_3) = hole_1 ),
inference('HYPERRESOLVE',[status(thm)],[298,272]) ).
cnf(305,plain,
( hole_of(pigeon_2) = hole_1
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| ~ in(pigeon_5,hole_1) ),
inference('PARAMODULATE',[status(thm)],[54,301,theory(equality)]) ).
cnf(306,plain,
( hole_of(pigeon_2) = hole_1
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| in(pigeon_3,hole_1) ),
inference('PARAMODULATE',[status(thm)],[38,301,theory(equality)]) ).
cnf(308,plain,
( hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| hole_of(pigeon_2) = hole_1 ),
inference('HYPERRESOLVE',[status(thm)],[305,293]) ).
cnf(309,plain,
( hole_of(pigeon_4) = hole_1
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| hole_of(pigeon_2) = hole_1
| ~ in(pigeon_2,hole_2) ),
inference('PARAMODULATE',[status(thm)],[52,308,theory(equality)]) ).
cnf(312,plain,
( hole_of(pigeon_2) = hole_1
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| hole_of(pigeon_4) = hole_1 ),
inference('HYPERRESOLVE',[status(thm)],[309,272]) ).
cnf(313,plain,
( hole_of(pigeon_2) = hole_1
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| ~ in(pigeon_3,hole_1) ),
inference('PARAMODULATE',[status(thm)],[51,312,theory(equality)]) ).
cnf(316,plain,
( hole_of(pigeon_2) = hole_1
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3 ),
inference('HYPERRESOLVE',[status(thm)],[313,306]) ).
cnf(320,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| ~ in(pigeon_5,hole_1) ),
inference('PARAMODULATE',[status(thm)],[58,316,theory(equality)]) ).
cnf(321,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| in(pigeon_2,hole_1) ),
inference('PARAMODULATE',[status(thm)],[39,316,theory(equality)]) ).
cnf(323,plain,
( hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| hole_of(pigeon_4) = hole_1 ),
inference('HYPERRESOLVE',[status(thm)],[320,283]) ).
cnf(324,plain,
( hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| ~ in(pigeon_2,hole_1) ),
inference('PARAMODULATE',[status(thm)],[52,323,theory(equality)]) ).
cnf(327,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2 ),
inference('HYPERRESOLVE',[status(thm)],[324,321]) ).
cnf(331,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| hole_of(pigeon_3) = hole_1
| ~ in(pigeon_5,hole_2) ),
inference('PARAMODULATE',[status(thm)],[54,327,theory(equality)]) ).
cnf(332,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| hole_of(pigeon_3) = hole_1
| in(pigeon_3,hole_2) ),
inference('PARAMODULATE',[status(thm)],[38,327,theory(equality)]) ).
cnf(334,plain,
( hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| hole_of(pigeon_5) = hole_1
| hole_of(pigeon_3) = hole_1 ),
inference('HYPERRESOLVE',[status(thm)],[331,240]) ).
cnf(335,plain,
( hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| hole_of(pigeon_3) = hole_1
| ~ in(pigeon_2,hole_1) ),
inference('PARAMODULATE',[status(thm)],[48,334,theory(equality)]) ).
cnf(338,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_3) = hole_1 ),
inference('HYPERRESOLVE',[status(thm)],[335,321]) ).
cnf(339,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| hole_of(pigeon_4) = hole_1
| hole_of(pigeon_3) = hole_1
| ~ in(pigeon_3,hole_2) ),
inference('PARAMODULATE',[status(thm)],[51,338,theory(equality)]) ).
cnf(342,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_4) = hole_1 ),
inference('HYPERRESOLVE',[status(thm)],[339,332]) ).
cnf(343,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| hole_of(pigeon_3) = hole_1
| ~ in(pigeon_2,hole_1) ),
inference('PARAMODULATE',[status(thm)],[52,342,theory(equality)]) ).
cnf(346,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| hole_of(pigeon_3) = hole_1 ),
inference('HYPERRESOLVE',[status(thm)],[343,321]) ).
cnf(347,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| ~ in(pigeon_2,hole_1) ),
inference('PARAMODULATE',[status(thm)],[56,346,theory(equality)]) ).
cnf(350,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3 ),
inference('HYPERRESOLVE',[status(thm)],[347,321]) ).
cnf(352,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| ~ in(pigeon_3,hole_3) ),
inference('PARAMODULATE',[status(thm)],[64,350,theory(equality)]) ).
cnf(353,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| ~ in(pigeon_4,hole_3) ),
inference('PARAMODULATE',[status(thm)],[63,350,theory(equality)]) ).
cnf(354,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| ~ in(pigeon_5,hole_3) ),
inference('PARAMODULATE',[status(thm)],[62,350,theory(equality)]) ).
cnf(355,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| in(pigeon_1,hole_3) ),
inference('PARAMODULATE',[status(thm)],[40,350,theory(equality)]) ).
cnf(362,plain,
( hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2 ),
inference('HYPERRESOLVE',[status(thm)],[352,132]) ).
cnf(363,plain,
( hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2 ),
inference('HYPERRESOLVE',[status(thm)],[353,137]) ).
cnf(364,plain,
( hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_3) = hole_3
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2 ),
inference('HYPERRESOLVE',[status(thm)],[353,120]) ).
cnf(365,plain,
( hole_of(pigeon_5) = hole_1
| hole_of(pigeon_5) = hole_2
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2 ),
inference('HYPERRESOLVE',[status(thm)],[354,144]) ).
cnf(366,plain,
( hole_of(pigeon_5) = hole_1
| hole_of(pigeon_5) = hole_2
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_3) = hole_3
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2 ),
inference('HYPERRESOLVE',[status(thm)],[354,125]) ).
cnf(367,plain,
( hole_of(pigeon_5) = hole_1
| hole_of(pigeon_5) = hole_2
| hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_4) = hole_3
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2 ),
inference('HYPERRESOLVE',[status(thm)],[354,115]) ).
cnf(372,plain,
( hole_of(pigeon_3) = hole_1
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| in(pigeon_3,hole_2) ),
inference('PARAMODULATE',[status(thm)],[38,362,theory(equality)]) ).
cnf(375,plain,
( hole_of(pigeon_4) = hole_1
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| ~ in(pigeon_3,hole_2) ),
inference('PARAMODULATE',[status(thm)],[51,363,theory(equality)]) ).
cnf(377,plain,
( hole_of(pigeon_4) = hole_1
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| in(pigeon_4,hole_2) ),
inference('PARAMODULATE',[status(thm)],[37,363,theory(equality)]) ).
cnf(379,plain,
( hole_of(pigeon_3) = hole_1
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_4) = hole_1 ),
inference('HYPERRESOLVE',[status(thm)],[375,372]) ).
cnf(384,plain,
( hole_of(pigeon_4) = hole_1
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_3) = hole_3
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| in(pigeon_4,hole_2) ),
inference('PARAMODULATE',[status(thm)],[37,364,theory(equality)]) ).
cnf(387,plain,
( hole_of(pigeon_5) = hole_1
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| ~ in(pigeon_3,hole_2) ),
inference('PARAMODULATE',[status(thm)],[47,365,theory(equality)]) ).
cnf(388,plain,
( hole_of(pigeon_5) = hole_1
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| ~ in(pigeon_4,hole_2) ),
inference('PARAMODULATE',[status(thm)],[46,365,theory(equality)]) ).
cnf(392,plain,
( hole_of(pigeon_3) = hole_1
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_5) = hole_1 ),
inference('HYPERRESOLVE',[status(thm)],[387,372]) ).
cnf(393,plain,
( hole_of(pigeon_4) = hole_1
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_5) = hole_1 ),
inference('HYPERRESOLVE',[status(thm)],[388,377]) ).
cnf(397,plain,
( hole_of(pigeon_5) = hole_1
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_3) = hole_3
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| ~ in(pigeon_4,hole_2) ),
inference('PARAMODULATE',[status(thm)],[46,366,theory(equality)]) ).
cnf(398,plain,
( hole_of(pigeon_5) = hole_1
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_3) = hole_3
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| in(pigeon_5,hole_2) ),
inference('PARAMODULATE',[status(thm)],[36,366,theory(equality)]) ).
cnf(400,plain,
( hole_of(pigeon_4) = hole_1
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_3) = hole_3
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_5) = hole_1 ),
inference('HYPERRESOLVE',[status(thm)],[397,384]) ).
cnf(405,plain,
( hole_of(pigeon_5) = hole_1
| hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_4) = hole_3
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| in(pigeon_5,hole_2) ),
inference('PARAMODULATE',[status(thm)],[36,367,theory(equality)]) ).
cnf(410,plain,
( hole_of(pigeon_3) = hole_1
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| in(pigeon_4,hole_1) ),
inference('PARAMODULATE',[status(thm)],[37,379,theory(equality)]) ).
cnf(411,plain,
( hole_of(pigeon_3) = hole_1
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| ~ in(pigeon_4,hole_1) ),
inference('PARAMODULATE',[status(thm)],[46,392,theory(equality)]) ).
cnf(414,plain,
( hole_of(pigeon_3) = hole_1
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2 ),
inference('HYPERRESOLVE',[status(thm)],[411,410]) ).
cnf(419,plain,
( hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| in(pigeon_3,hole_1) ),
inference('PARAMODULATE',[status(thm)],[38,414,theory(equality)]) ).
cnf(420,plain,
( hole_of(pigeon_4) = hole_1
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| ~ in(pigeon_3,hole_1) ),
inference('PARAMODULATE',[status(thm)],[47,393,theory(equality)]) ).
cnf(423,plain,
( hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_4) = hole_1 ),
inference('HYPERRESOLVE',[status(thm)],[420,419]) ).
cnf(424,plain,
( hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| ~ in(pigeon_3,hole_1) ),
inference('PARAMODULATE',[status(thm)],[51,423,theory(equality)]) ).
cnf(427,plain,
( hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2 ),
inference('HYPERRESOLVE',[status(thm)],[424,419]) ).
cnf(428,plain,
( hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| ~ in(pigeon_1,hole_3) ),
inference('PARAMODULATE',[status(thm)],[61,427,theory(equality)]) ).
cnf(431,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2 ),
inference('HYPERRESOLVE',[status(thm)],[428,355]) ).
cnf(434,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_2) = hole_1
| ~ in(pigeon_4,hole_2) ),
inference('PARAMODULATE',[status(thm)],[59,431,theory(equality)]) ).
cnf(435,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_2) = hole_1
| ~ in(pigeon_5,hole_2) ),
inference('PARAMODULATE',[status(thm)],[58,431,theory(equality)]) ).
cnf(436,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_2) = hole_1
| in(pigeon_2,hole_2) ),
inference('PARAMODULATE',[status(thm)],[39,431,theory(equality)]) ).
cnf(440,plain,
( hole_of(pigeon_4) = hole_1
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_3) = hole_3
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_2) = hole_1 ),
inference('HYPERRESOLVE',[status(thm)],[434,384]) ).
cnf(441,plain,
( hole_of(pigeon_5) = hole_1
| hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_4) = hole_3
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_2) = hole_1 ),
inference('HYPERRESOLVE',[status(thm)],[435,405]) ).
cnf(442,plain,
( hole_of(pigeon_5) = hole_1
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_3) = hole_3
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_2) = hole_1 ),
inference('HYPERRESOLVE',[status(thm)],[435,398]) ).
cnf(447,plain,
( hole_of(pigeon_4) = hole_1
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_3) = hole_3
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| in(pigeon_5,hole_1) ),
inference('PARAMODULATE',[status(thm)],[36,400,theory(equality)]) ).
cnf(452,plain,
( hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_3) = hole_3
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_2) = hole_1
| in(pigeon_4,hole_1) ),
inference('PARAMODULATE',[status(thm)],[37,440,theory(equality)]) ).
cnf(457,plain,
( hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_4) = hole_3
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_2) = hole_1
| in(pigeon_5,hole_1) ),
inference('PARAMODULATE',[status(thm)],[36,441,theory(equality)]) ).
cnf(458,plain,
( hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_3) = hole_3
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_2) = hole_1
| ~ in(pigeon_4,hole_1) ),
inference('PARAMODULATE',[status(thm)],[46,442,theory(equality)]) ).
cnf(461,plain,
( hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_3) = hole_3
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_2) = hole_1 ),
inference('HYPERRESOLVE',[status(thm)],[458,452]) ).
cnf(462,plain,
( hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_2) = hole_1
| ~ in(pigeon_1,hole_3) ),
inference('PARAMODULATE',[status(thm)],[57,461,theory(equality)]) ).
cnf(465,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_2) = hole_1 ),
inference('HYPERRESOLVE',[status(thm)],[462,355]) ).
cnf(466,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_2) = hole_1
| ~ in(pigeon_2,hole_2) ),
inference('PARAMODULATE',[status(thm)],[56,465,theory(equality)]) ).
cnf(469,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_3) = hole_1 ),
inference('HYPERRESOLVE',[status(thm)],[466,436]) ).
cnf(473,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_2) = hole_1
| ~ in(pigeon_5,hole_1) ),
inference('PARAMODULATE',[status(thm)],[54,469,theory(equality)]) ).
cnf(474,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_2) = hole_1
| in(pigeon_3,hole_1) ),
inference('PARAMODULATE',[status(thm)],[38,469,theory(equality)]) ).
cnf(476,plain,
( hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_4) = hole_3
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_2) = hole_1 ),
inference('HYPERRESOLVE',[status(thm)],[473,457]) ).
cnf(477,plain,
( hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_2) = hole_1
| ~ in(pigeon_1,hole_3) ),
inference('PARAMODULATE',[status(thm)],[53,476,theory(equality)]) ).
cnf(480,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_2) = hole_1 ),
inference('HYPERRESOLVE',[status(thm)],[477,355]) ).
cnf(481,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_4) = hole_1
| hole_of(pigeon_2) = hole_1
| ~ in(pigeon_2,hole_2) ),
inference('PARAMODULATE',[status(thm)],[52,480,theory(equality)]) ).
cnf(484,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_4) = hole_1 ),
inference('HYPERRESOLVE',[status(thm)],[481,436]) ).
cnf(485,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_2) = hole_1
| ~ in(pigeon_3,hole_1) ),
inference('PARAMODULATE',[status(thm)],[51,484,theory(equality)]) ).
cnf(488,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_2) = hole_1 ),
inference('HYPERRESOLVE',[status(thm)],[485,474]) ).
cnf(492,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| ~ in(pigeon_5,hole_1) ),
inference('PARAMODULATE',[status(thm)],[58,488,theory(equality)]) ).
cnf(493,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| in(pigeon_2,hole_1) ),
inference('PARAMODULATE',[status(thm)],[39,488,theory(equality)]) ).
cnf(495,plain,
( hole_of(pigeon_4) = hole_1
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_3) = hole_3
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2 ),
inference('HYPERRESOLVE',[status(thm)],[492,447]) ).
cnf(496,plain,
( hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_3) = hole_3
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| ~ in(pigeon_2,hole_1) ),
inference('PARAMODULATE',[status(thm)],[52,495,theory(equality)]) ).
cnf(499,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_3) = hole_3 ),
inference('HYPERRESOLVE',[status(thm)],[496,493]) ).
cnf(500,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| ~ in(pigeon_1,hole_3) ),
inference('PARAMODULATE',[status(thm)],[57,499,theory(equality)]) ).
cnf(503,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2 ),
inference('HYPERRESOLVE',[status(thm)],[500,355]) ).
cnf(507,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_3) = hole_1
| ~ in(pigeon_5,hole_2) ),
inference('PARAMODULATE',[status(thm)],[54,503,theory(equality)]) ).
cnf(508,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_3) = hole_1
| in(pigeon_3,hole_2) ),
inference('PARAMODULATE',[status(thm)],[38,503,theory(equality)]) ).
cnf(510,plain,
( hole_of(pigeon_5) = hole_1
| hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_4) = hole_3
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_3) = hole_1 ),
inference('HYPERRESOLVE',[status(thm)],[507,405]) ).
cnf(511,plain,
( hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_4) = hole_3
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_3) = hole_1
| ~ in(pigeon_2,hole_1) ),
inference('PARAMODULATE',[status(thm)],[48,510,theory(equality)]) ).
cnf(514,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_4) = hole_3
| hole_of(pigeon_3) = hole_1 ),
inference('HYPERRESOLVE',[status(thm)],[511,493]) ).
cnf(515,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_3) = hole_1
| ~ in(pigeon_1,hole_3) ),
inference('PARAMODULATE',[status(thm)],[53,514,theory(equality)]) ).
cnf(518,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_3) = hole_1 ),
inference('HYPERRESOLVE',[status(thm)],[515,355]) ).
cnf(519,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_4) = hole_1
| hole_of(pigeon_3) = hole_1
| ~ in(pigeon_3,hole_2) ),
inference('PARAMODULATE',[status(thm)],[51,518,theory(equality)]) ).
cnf(522,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_4) = hole_1 ),
inference('HYPERRESOLVE',[status(thm)],[519,508]) ).
cnf(523,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_3) = hole_1
| ~ in(pigeon_2,hole_1) ),
inference('PARAMODULATE',[status(thm)],[52,522,theory(equality)]) ).
cnf(526,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_3) = hole_1 ),
inference('HYPERRESOLVE',[status(thm)],[523,493]) ).
cnf(527,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| ~ in(pigeon_2,hole_1) ),
inference('PARAMODULATE',[status(thm)],[56,526,theory(equality)]) ).
cnf(530,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2 ),
inference('HYPERRESOLVE',[status(thm)],[527,493]) ).
cnf(533,plain,
( hole_of(pigeon_1) = hole_1
| ~ in(pigeon_4,hole_2) ),
inference('PARAMODULATE',[status(thm)],[63,530,theory(equality)]) ).
cnf(534,plain,
( hole_of(pigeon_1) = hole_1
| ~ in(pigeon_5,hole_2) ),
inference('PARAMODULATE',[status(thm)],[62,530,theory(equality)]) ).
cnf(535,plain,
( hole_of(pigeon_1) = hole_1
| in(pigeon_1,hole_2) ),
inference('PARAMODULATE',[status(thm)],[40,530,theory(equality)]) ).
cnf(540,plain,
( hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3
| hole_of(pigeon_4) = hole_1
| hole_of(pigeon_1) = hole_1 ),
inference('HYPERRESOLVE',[status(thm)],[533,190]) ).
cnf(541,plain,
( hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3
| hole_of(pigeon_5) = hole_1
| hole_of(pigeon_1) = hole_1 ),
inference('HYPERRESOLVE',[status(thm)],[534,202]) ).
cnf(542,plain,
( hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3
| hole_of(pigeon_5) = hole_1
| hole_of(pigeon_1) = hole_1 ),
inference('HYPERRESOLVE',[status(thm)],[534,195]) ).
cnf(543,plain,
( hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_3) = hole_3
| hole_of(pigeon_5) = hole_1
| hole_of(pigeon_1) = hole_1 ),
inference('HYPERRESOLVE',[status(thm)],[534,185]) ).
cnf(548,plain,
( hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3
| hole_of(pigeon_1) = hole_1
| in(pigeon_4,hole_1) ),
inference('PARAMODULATE',[status(thm)],[37,540,theory(equality)]) ).
cnf(553,plain,
( hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3
| hole_of(pigeon_1) = hole_1
| in(pigeon_5,hole_1) ),
inference('PARAMODULATE',[status(thm)],[36,541,theory(equality)]) ).
cnf(554,plain,
( hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3
| hole_of(pigeon_1) = hole_1
| ~ in(pigeon_4,hole_1) ),
inference('PARAMODULATE',[status(thm)],[46,542,theory(equality)]) ).
cnf(557,plain,
( hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3
| hole_of(pigeon_1) = hole_1 ),
inference('HYPERRESOLVE',[status(thm)],[554,548]) ).
cnf(558,plain,
( hole_of(pigeon_3) = hole_1
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3
| hole_of(pigeon_1) = hole_1
| ~ in(pigeon_1,hole_2) ),
inference('PARAMODULATE',[status(thm)],[57,557,theory(equality)]) ).
cnf(561,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3 ),
inference('HYPERRESOLVE',[status(thm)],[558,535]) ).
cnf(565,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3
| ~ in(pigeon_5,hole_1) ),
inference('PARAMODULATE',[status(thm)],[54,561,theory(equality)]) ).
cnf(566,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3
| in(pigeon_3,hole_1) ),
inference('PARAMODULATE',[status(thm)],[38,561,theory(equality)]) ).
cnf(568,plain,
( hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3
| hole_of(pigeon_1) = hole_1 ),
inference('HYPERRESOLVE',[status(thm)],[565,553]) ).
cnf(573,plain,
( hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_3) = hole_3
| hole_of(pigeon_1) = hole_1
| in(pigeon_5,hole_1) ),
inference('PARAMODULATE',[status(thm)],[36,543,theory(equality)]) ).
cnf(574,plain,
( hole_of(pigeon_4) = hole_1
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3
| hole_of(pigeon_1) = hole_1
| ~ in(pigeon_1,hole_2) ),
inference('PARAMODULATE',[status(thm)],[53,568,theory(equality)]) ).
cnf(577,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_4) = hole_1
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3 ),
inference('HYPERRESOLVE',[status(thm)],[574,535]) ).
cnf(578,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3
| ~ in(pigeon_3,hole_1) ),
inference('PARAMODULATE',[status(thm)],[51,577,theory(equality)]) ).
cnf(581,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3 ),
inference('HYPERRESOLVE',[status(thm)],[578,566]) ).
cnf(584,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| ~ in(pigeon_4,hole_3) ),
inference('PARAMODULATE',[status(thm)],[59,581,theory(equality)]) ).
cnf(585,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| ~ in(pigeon_5,hole_3) ),
inference('PARAMODULATE',[status(thm)],[58,581,theory(equality)]) ).
cnf(586,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| in(pigeon_2,hole_3) ),
inference('PARAMODULATE',[status(thm)],[39,581,theory(equality)]) ).
cnf(590,plain,
( hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_3) = hole_3
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2 ),
inference('HYPERRESOLVE',[status(thm)],[584,120]) ).
cnf(591,plain,
( hole_of(pigeon_5) = hole_1
| hole_of(pigeon_5) = hole_2
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_3) = hole_3
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2 ),
inference('HYPERRESOLVE',[status(thm)],[585,125]) ).
cnf(592,plain,
( hole_of(pigeon_5) = hole_1
| hole_of(pigeon_5) = hole_2
| hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_4) = hole_3
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2 ),
inference('HYPERRESOLVE',[status(thm)],[585,115]) ).
cnf(593,plain,
( hole_of(pigeon_4) = hole_1
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_3) = hole_3
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| ~ in(pigeon_1,hole_2) ),
inference('PARAMODULATE',[status(thm)],[53,590,theory(equality)]) ).
cnf(596,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_4) = hole_1
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_3) = hole_3
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2 ),
inference('HYPERRESOLVE',[status(thm)],[593,535]) ).
cnf(601,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_3) = hole_3
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| in(pigeon_4,hole_1) ),
inference('PARAMODULATE',[status(thm)],[37,596,theory(equality)]) ).
cnf(602,plain,
( hole_of(pigeon_5) = hole_1
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_3) = hole_3
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| ~ in(pigeon_1,hole_2) ),
inference('PARAMODULATE',[status(thm)],[49,591,theory(equality)]) ).
cnf(605,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_5) = hole_1
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_3) = hole_3
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2 ),
inference('HYPERRESOLVE',[status(thm)],[602,535]) ).
cnf(606,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_3) = hole_3
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| ~ in(pigeon_4,hole_1) ),
inference('PARAMODULATE',[status(thm)],[46,605,theory(equality)]) ).
cnf(609,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_3) = hole_3
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2 ),
inference('HYPERRESOLVE',[status(thm)],[606,601]) ).
cnf(610,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| ~ in(pigeon_2,hole_3) ),
inference('PARAMODULATE',[status(thm)],[56,609,theory(equality)]) ).
cnf(613,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2 ),
inference('HYPERRESOLVE',[status(thm)],[610,586]) ).
cnf(614,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_3) = hole_1
| ~ in(pigeon_1,hole_2) ),
inference('PARAMODULATE',[status(thm)],[57,613,theory(equality)]) ).
cnf(617,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_3) = hole_1 ),
inference('HYPERRESOLVE',[status(thm)],[614,535]) ).
cnf(622,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| in(pigeon_3,hole_1) ),
inference('PARAMODULATE',[status(thm)],[38,617,theory(equality)]) ).
cnf(623,plain,
( hole_of(pigeon_5) = hole_1
| hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_4) = hole_3
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| ~ in(pigeon_1,hole_2) ),
inference('PARAMODULATE',[status(thm)],[49,592,theory(equality)]) ).
cnf(626,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_5) = hole_1
| hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_4) = hole_3
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2 ),
inference('HYPERRESOLVE',[status(thm)],[623,535]) ).
cnf(627,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_4) = hole_3
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| ~ in(pigeon_3,hole_1) ),
inference('PARAMODULATE',[status(thm)],[47,626,theory(equality)]) ).
cnf(630,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_4) = hole_3 ),
inference('HYPERRESOLVE',[status(thm)],[627,622]) ).
cnf(631,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| ~ in(pigeon_2,hole_3) ),
inference('PARAMODULATE',[status(thm)],[52,630,theory(equality)]) ).
cnf(634,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2 ),
inference('HYPERRESOLVE',[status(thm)],[631,586]) ).
cnf(635,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_4) = hole_1
| ~ in(pigeon_1,hole_2) ),
inference('PARAMODULATE',[status(thm)],[53,634,theory(equality)]) ).
cnf(638,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_4) = hole_1 ),
inference('HYPERRESOLVE',[status(thm)],[635,535]) ).
cnf(639,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| ~ in(pigeon_3,hole_1) ),
inference('PARAMODULATE',[status(thm)],[51,638,theory(equality)]) ).
cnf(642,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2 ),
inference('HYPERRESOLVE',[status(thm)],[639,622]) ).
cnf(643,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_2) = hole_1
| ~ in(pigeon_1,hole_2) ),
inference('PARAMODULATE',[status(thm)],[61,642,theory(equality)]) ).
cnf(646,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_2) = hole_1 ),
inference('HYPERRESOLVE',[status(thm)],[643,535]) ).
cnf(650,plain,
( hole_of(pigeon_1) = hole_1
| ~ in(pigeon_5,hole_1) ),
inference('PARAMODULATE',[status(thm)],[58,646,theory(equality)]) ).
cnf(651,plain,
( hole_of(pigeon_1) = hole_1
| in(pigeon_2,hole_1) ),
inference('PARAMODULATE',[status(thm)],[39,646,theory(equality)]) ).
cnf(653,plain,
( hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_3) = hole_3
| hole_of(pigeon_1) = hole_1 ),
inference('HYPERRESOLVE',[status(thm)],[650,573]) ).
cnf(654,plain,
( hole_of(pigeon_4) = hole_1
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_3) = hole_3
| hole_of(pigeon_1) = hole_1
| ~ in(pigeon_1,hole_2) ),
inference('PARAMODULATE',[status(thm)],[53,653,theory(equality)]) ).
cnf(657,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_4) = hole_1
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_3) = hole_3 ),
inference('HYPERRESOLVE',[status(thm)],[654,535]) ).
cnf(658,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_3) = hole_3
| ~ in(pigeon_2,hole_1) ),
inference('PARAMODULATE',[status(thm)],[52,657,theory(equality)]) ).
cnf(661,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_3) = hole_3 ),
inference('HYPERRESOLVE',[status(thm)],[658,651]) ).
cnf(665,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| ~ in(pigeon_5,hole_3) ),
inference('PARAMODULATE',[status(thm)],[54,661,theory(equality)]) ).
cnf(666,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| in(pigeon_3,hole_3) ),
inference('PARAMODULATE',[status(thm)],[38,661,theory(equality)]) ).
cnf(668,plain,
( hole_of(pigeon_5) = hole_1
| hole_of(pigeon_5) = hole_2
| hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_4) = hole_3
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2 ),
inference('HYPERRESOLVE',[status(thm)],[665,115]) ).
cnf(669,plain,
( hole_of(pigeon_5) = hole_1
| hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_4) = hole_3
| hole_of(pigeon_1) = hole_1
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| ~ in(pigeon_1,hole_2) ),
inference('PARAMODULATE',[status(thm)],[49,668,theory(equality)]) ).
cnf(672,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_5) = hole_1
| hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_4) = hole_3
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2 ),
inference('HYPERRESOLVE',[status(thm)],[669,535]) ).
cnf(673,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_4) = hole_3
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| ~ in(pigeon_2,hole_1) ),
inference('PARAMODULATE',[status(thm)],[48,672,theory(equality)]) ).
cnf(676,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_4) = hole_3
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2 ),
inference('HYPERRESOLVE',[status(thm)],[673,651]) ).
cnf(677,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| ~ in(pigeon_3,hole_3) ),
inference('PARAMODULATE',[status(thm)],[51,676,theory(equality)]) ).
cnf(680,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2 ),
inference('HYPERRESOLVE',[status(thm)],[677,666]) ).
cnf(681,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_4) = hole_1
| ~ in(pigeon_1,hole_2) ),
inference('PARAMODULATE',[status(thm)],[53,680,theory(equality)]) ).
cnf(684,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_4) = hole_1 ),
inference('HYPERRESOLVE',[status(thm)],[681,535]) ).
cnf(685,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| ~ in(pigeon_2,hole_1) ),
inference('PARAMODULATE',[status(thm)],[52,684,theory(equality)]) ).
cnf(688,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2 ),
inference('HYPERRESOLVE',[status(thm)],[685,651]) ).
cnf(689,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_3) = hole_1
| ~ in(pigeon_1,hole_2) ),
inference('PARAMODULATE',[status(thm)],[57,688,theory(equality)]) ).
cnf(692,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_3) = hole_1 ),
inference('HYPERRESOLVE',[status(thm)],[689,535]) ).
cnf(693,plain,
( hole_of(pigeon_1) = hole_1
| ~ in(pigeon_2,hole_1) ),
inference('PARAMODULATE',[status(thm)],[56,692,theory(equality)]) ).
cnf(696,plain,
hole_of(pigeon_1) = hole_1,
inference('HYPERRESOLVE',[status(thm)],[693,651]) ).
cnf(697,plain,
in(pigeon_1,hole_1),
inference('REWRITE',[status(thm)],[40,696,theory(equality)]) ).
cnf(698,plain,
( hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3
| hole_of(pigeon_4) = hole_1 ),
inference('REWRITE',[status(thm)],[241,697]) ).
cnf(702,plain,
~ in(pigeon_2,hole_1),
inference('REWRITE',[status(thm)],[65,696,theory(equality)]) ).
cnf(703,plain,
( hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[53,698,theory(equality)]),697]) ).
cnf(707,plain,
( hole_of(pigeon_3) = hole_1
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3
| ~ in(pigeon_5,hole_2) ),
inference('PARAMODULATE',[status(thm)],[54,703,theory(equality)]) ).
cnf(708,plain,
( hole_of(pigeon_3) = hole_1
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3
| in(pigeon_3,hole_2) ),
inference('PARAMODULATE',[status(thm)],[38,703,theory(equality)]) ).
cnf(710,plain,
( hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3
| hole_of(pigeon_5) = hole_1
| hole_of(pigeon_3) = hole_1 ),
inference('HYPERRESOLVE',[status(thm)],[707,202]) ).
cnf(711,plain,
( hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3
| hole_of(pigeon_3) = hole_1 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[49,710,theory(equality)]),697]) ).
cnf(712,plain,
( hole_of(pigeon_4) = hole_1
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3
| hole_of(pigeon_3) = hole_1
| ~ in(pigeon_3,hole_2) ),
inference('PARAMODULATE',[status(thm)],[51,711,theory(equality)]) ).
cnf(715,plain,
( hole_of(pigeon_3) = hole_1
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3
| hole_of(pigeon_4) = hole_1 ),
inference('HYPERRESOLVE',[status(thm)],[712,708]) ).
cnf(716,plain,
( hole_of(pigeon_3) = hole_1
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[53,715,theory(equality)]),697]) ).
cnf(717,plain,
( hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_3 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[57,716,theory(equality)]),697]) ).
cnf(720,plain,
( hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| ~ in(pigeon_4,hole_3) ),
inference('PARAMODULATE',[status(thm)],[59,717,theory(equality)]) ).
cnf(721,plain,
( hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| ~ in(pigeon_5,hole_3) ),
inference('PARAMODULATE',[status(thm)],[58,717,theory(equality)]) ).
cnf(722,plain,
( hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| in(pigeon_2,hole_3) ),
inference('PARAMODULATE',[status(thm)],[39,717,theory(equality)]) ).
cnf(726,plain,
( hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_3) = hole_3
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2 ),
inference('HYPERRESOLVE',[status(thm)],[720,120]) ).
cnf(727,plain,
( hole_of(pigeon_5) = hole_1
| hole_of(pigeon_5) = hole_2
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_3) = hole_3
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2 ),
inference('HYPERRESOLVE',[status(thm)],[721,125]) ).
cnf(728,plain,
( hole_of(pigeon_5) = hole_1
| hole_of(pigeon_5) = hole_2
| hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_4) = hole_3
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2 ),
inference('HYPERRESOLVE',[status(thm)],[721,115]) ).
cnf(733,plain,
( hole_of(pigeon_4) = hole_1
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_3) = hole_3
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| in(pigeon_4,hole_2) ),
inference('PARAMODULATE',[status(thm)],[37,726,theory(equality)]) ).
cnf(737,plain,
( hole_of(pigeon_5) = hole_1
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_3) = hole_3
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| ~ in(pigeon_4,hole_2) ),
inference('PARAMODULATE',[status(thm)],[46,727,theory(equality)]) ).
cnf(740,plain,
( hole_of(pigeon_4) = hole_1
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_3) = hole_3
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_5) = hole_1 ),
inference('HYPERRESOLVE',[status(thm)],[737,733]) ).
cnf(745,plain,
( hole_of(pigeon_5) = hole_1
| hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_4) = hole_3
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| in(pigeon_5,hole_2) ),
inference('PARAMODULATE',[status(thm)],[36,728,theory(equality)]) ).
cnf(746,plain,
( hole_of(pigeon_4) = hole_1
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_3) = hole_3
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[49,740,theory(equality)]),697]) ).
cnf(747,plain,
( hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_3) = hole_3
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[53,746,theory(equality)]),697]) ).
cnf(748,plain,
( hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| ~ in(pigeon_2,hole_3) ),
inference('PARAMODULATE',[status(thm)],[56,747,theory(equality)]) ).
cnf(751,plain,
( hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2 ),
inference('HYPERRESOLVE',[status(thm)],[748,722]) ).
cnf(755,plain,
( hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_3) = hole_1
| ~ in(pigeon_5,hole_2) ),
inference('PARAMODULATE',[status(thm)],[54,751,theory(equality)]) ).
cnf(756,plain,
( hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_3) = hole_1
| in(pigeon_3,hole_2) ),
inference('PARAMODULATE',[status(thm)],[38,751,theory(equality)]) ).
cnf(758,plain,
( hole_of(pigeon_5) = hole_1
| hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_4) = hole_3
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_3) = hole_1 ),
inference('HYPERRESOLVE',[status(thm)],[755,745]) ).
cnf(759,plain,
( hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_4) = hole_3
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_3) = hole_1 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[49,758,theory(equality)]),697]) ).
cnf(760,plain,
( hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_3) = hole_1
| ~ in(pigeon_2,hole_3) ),
inference('PARAMODULATE',[status(thm)],[52,759,theory(equality)]) ).
cnf(763,plain,
( hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_3) = hole_1 ),
inference('HYPERRESOLVE',[status(thm)],[760,722]) ).
cnf(764,plain,
( hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_4) = hole_1
| hole_of(pigeon_3) = hole_1
| ~ in(pigeon_3,hole_2) ),
inference('PARAMODULATE',[status(thm)],[51,763,theory(equality)]) ).
cnf(767,plain,
( hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_4) = hole_1 ),
inference('HYPERRESOLVE',[status(thm)],[764,756]) ).
cnf(768,plain,
( hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_3) = hole_1 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[53,767,theory(equality)]),697]) ).
cnf(769,plain,
( hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[57,768,theory(equality)]),697]) ).
cnf(773,plain,
( hole_of(pigeon_2) = hole_1
| ~ in(pigeon_5,hole_2) ),
inference('PARAMODULATE',[status(thm)],[58,769,theory(equality)]) ).
cnf(774,plain,
( hole_of(pigeon_2) = hole_1
| in(pigeon_2,hole_2) ),
inference('PARAMODULATE',[status(thm)],[39,769,theory(equality)]) ).
cnf(776,plain,
( hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_3) = hole_3
| hole_of(pigeon_5) = hole_1
| hole_of(pigeon_2) = hole_1 ),
inference('HYPERRESOLVE',[status(thm)],[773,185]) ).
cnf(777,plain,
( hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_3) = hole_3
| hole_of(pigeon_2) = hole_1 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[49,776,theory(equality)]),697]) ).
cnf(778,plain,
( hole_of(pigeon_4) = hole_1
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_3) = hole_3
| hole_of(pigeon_2) = hole_1
| ~ in(pigeon_2,hole_2) ),
inference('PARAMODULATE',[status(thm)],[52,777,theory(equality)]) ).
cnf(781,plain,
( hole_of(pigeon_2) = hole_1
| hole_of(pigeon_4) = hole_1
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_3) = hole_3 ),
inference('HYPERRESOLVE',[status(thm)],[778,774]) ).
cnf(782,plain,
( hole_of(pigeon_2) = hole_1
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_3) = hole_3 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[53,781,theory(equality)]),697]) ).
cnf(786,plain,
( hole_of(pigeon_2) = hole_1
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| ~ in(pigeon_5,hole_3) ),
inference('PARAMODULATE',[status(thm)],[54,782,theory(equality)]) ).
cnf(787,plain,
( hole_of(pigeon_2) = hole_1
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| in(pigeon_3,hole_3) ),
inference('PARAMODULATE',[status(thm)],[38,782,theory(equality)]) ).
cnf(789,plain,
( hole_of(pigeon_5) = hole_1
| hole_of(pigeon_5) = hole_2
| hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_4) = hole_3
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2 ),
inference('HYPERRESOLVE',[status(thm)],[786,115]) ).
cnf(790,plain,
( hole_of(pigeon_5) = hole_1
| hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_4) = hole_3
| hole_of(pigeon_2) = hole_1
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| ~ in(pigeon_2,hole_2) ),
inference('PARAMODULATE',[status(thm)],[48,789,theory(equality)]) ).
cnf(793,plain,
( hole_of(pigeon_2) = hole_1
| hole_of(pigeon_5) = hole_1
| hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_4) = hole_3
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2 ),
inference('HYPERRESOLVE',[status(thm)],[790,774]) ).
cnf(794,plain,
( hole_of(pigeon_2) = hole_1
| hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_4) = hole_3
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[49,793,theory(equality)]),697]) ).
cnf(795,plain,
( hole_of(pigeon_2) = hole_1
| hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| ~ in(pigeon_3,hole_3) ),
inference('PARAMODULATE',[status(thm)],[51,794,theory(equality)]) ).
cnf(798,plain,
( hole_of(pigeon_2) = hole_1
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2 ),
inference('HYPERRESOLVE',[status(thm)],[795,787]) ).
cnf(799,plain,
( hole_of(pigeon_2) = hole_1
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_4) = hole_1
| ~ in(pigeon_2,hole_2) ),
inference('PARAMODULATE',[status(thm)],[52,798,theory(equality)]) ).
cnf(802,plain,
( hole_of(pigeon_2) = hole_1
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_4) = hole_1 ),
inference('HYPERRESOLVE',[status(thm)],[799,774]) ).
cnf(803,plain,
( hole_of(pigeon_2) = hole_1
| hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[53,802,theory(equality)]),697]) ).
cnf(804,plain,
( hole_of(pigeon_2) = hole_1
| hole_of(pigeon_3) = hole_1
| ~ in(pigeon_2,hole_2) ),
inference('PARAMODULATE',[status(thm)],[56,803,theory(equality)]) ).
cnf(807,plain,
( hole_of(pigeon_2) = hole_1
| hole_of(pigeon_3) = hole_1 ),
inference('HYPERRESOLVE',[status(thm)],[804,774]) ).
cnf(808,plain,
hole_of(pigeon_2) = hole_1,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[57,807,theory(equality)]),697]) ).
cnf(809,plain,
$false,
inference('REWRITE',[status(thm)],[39,702,808,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : MSC007-2.005 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Fri Jul 1 15:23:19 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-01T15:23:20
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-07-01T15:23:20
% 1.47/1.64
% 1.47/1.64
% 1.47/1.64 #||
% 1.47/1.64 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.47/1.64 % SZS output start Refutation
% See solution above
% 1.47/1.67 ||#
% 1.47/1.67
% 1.47/1.67 ; Summary of computation:
% 1.47/1.67 ; 6276 formulas have been input or derived (from 618 formulas).
% 1.47/1.67 ; 809 (13%) were retained. Of these,
% 1.47/1.67 ; 711 (88%) were simplified or subsumed later,
% 1.47/1.67 ; 98 (12%) are still being kept.
% 1.47/1.67 ;
% 1.47/1.67 ; Run time in seconds excluding printing time:
% 1.47/1.67 ; 0.004 0% Read assertion file (1 call)
% 1.47/1.67 ; 0.001 0% Assert (32 calls)
% 1.47/1.67 ; 0.072 6% Process new row (4,866 calls)
% 1.47/1.67 ; 0.191 16% Resolution (1,234 calls)
% 1.47/1.67 ; 0.106 9% Paramodulation (617 calls)
% 1.47/1.67 ; 0.001 0% Factoring (214 calls)
% 1.47/1.67 ; 0.007 1% Condensing (2,904 calls)
% 1.47/1.67 ; 0.288 24% Forward subsumption (2,904 calls)
% 1.47/1.67 ; 0.046 4% Backward subsumption (746 calls)
% 1.47/1.67 ; 0.044 4% Clause clause subsumption (3,458 calls)
% 1.47/1.67 ; 0.267 23% Forward simplification (4,686 calls)
% 1.47/1.67 ; 0.003 0% Backward simplification (809 calls)
% 1.47/1.67 ; 0.088 7% Ordering (74,336 calls)
% 1.47/1.67 ; 0.000 0% Sortal reasoning (32 calls)
% 1.47/1.67 ; 0.000 0% Purity testing (1 call)
% 1.47/1.67 ; 0.062 5% Other
% 1.47/1.67 ; 1.180 Total
% 1.47/1.67 ; 1.216 Real time
% 1.47/1.67 ;
% 1.47/1.67 ; Term-hash-array has 126 terms in all.
% 1.47/1.67 ; Feature-vector-row-index has 47 entries (173 at peak, 746 added, 699 deleted).
% 1.47/1.67 ; Feature-vector-row-index has 398 nodes (1,274 at peak, 7,579 added, 7,181 deleted).
% 1.47/1.67 ; Retrieved 6,146 possibly forward subsuming rows in 2,904 calls.
% 1.47/1.67 ; Retrieved 675 possibly backward subsumed rows in 746 calls.
% 1.47/1.67 ; Path-index has 107 entries (127 at peak, 257 added, 150 deleted).
% 1.47/1.67 ; Path-index has 71 nodes (75 at peak, 79 added, 8 deleted).
% 1.47/1.67 ; Trie-index has 107 entries (127 at peak, 257 added, 150 deleted).
% 1.47/1.67 ; Trie-index has 135 nodes (156 at peak, 394 added, 259 deleted).
% 1.47/1.67 ; Retrieved 2,415 generalization terms in 35,873 calls.
% 1.47/1.67 ; Retrieved 62 instance terms in 62 calls.
% 1.47/1.67 ; Retrieved 14,898 unifiable terms in 6,634 calls.
% 1.47/1.67 ;
% 1.47/1.67 ; The agenda of backward simplifiable rows to process has 11 entries:
% 1.47/1.67 ; 11 with value 0
% 1.47/1.67 ; The agenda of rows to process has 8 entries:
% 1.47/1.67 ; 4 with value 63 1 with value 66 1 with value 81
% 1.47/1.67 ; 1 with value 65 1 with value 75
% 1.47/1.67 ; The agenda of rows to give has 2 entries:
% 1.47/1.67 ; 1 with value (4 59) 1 with value (4 146)
% 1.47/1.67 Evaluation took:
% 1.47/1.67 1.216 seconds of real time
% 1.47/1.67 1.102656 seconds of user run time
% 1.47/1.67 0.113782 seconds of system run time
% 1.47/1.67 [Run times include 0.022 seconds GC run time.]
% 1.47/1.67 0 calls to %EVAL
% 1.47/1.67 0 page faults and
% 1.47/1.67 125,311,480 bytes consed.
% 1.47/1.67 :PROOF-FOUND
% 1.47/1.67 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-01T15:23:21
% 1.47/1.67 :PROOF-FOUND
% 1.47/1.67 *
%------------------------------------------------------------------------------