%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : MSC007-2.005 : TPTP v9.2.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n003.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 : 300s
% DateTime : Tue May 5 04:48:45 PM UTC 2026
% Result : Unsatisfiable 2.27s 2.03s
% Output : CNFRefutation 2.27s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
cnf(all_holes,axiom,
( X1 = hole_1
| X1 = hole_2
| X1 = hole_3
| X1 = hole_4
| ~ hole(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',all_holes) ).
cnf(each_pigeons_hole1,axiom,
( hole(hole_of(X1))
| ~ pigeon(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',each_pigeons_hole1) ).
cnf(pigeon_4,axiom,
pigeon(pigeon_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pigeon_4) ).
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(each_pigeons_hole2,axiom,
( in(X1,hole_of(X1))
| ~ pigeon(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',each_pigeons_hole2) ).
cnf(pigeon_1,axiom,
pigeon(pigeon_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pigeon_1) ).
cnf(only_one_per_hole,negated_conjecture,
( X2 = X3
| ~ hole(X1)
| ~ pigeon(X2)
| ~ pigeon(X3)
| ~ in(X2,X1)
| ~ in(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',only_one_per_hole) ).
cnf(pigeon_5,axiom,
pigeon(pigeon_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pigeon_5) ).
cnf(hole_4,axiom,
hole(hole_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_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_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_3,axiom,
pigeon_2 != pigeon_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pigeon_2_is_not_pigeon_3) ).
cnf(hole_3,axiom,
hole(hole_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_3) ).
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_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_1_is_not_pigeon_2,axiom,
pigeon_1 != pigeon_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pigeon_1_is_not_pigeon_2) ).
cnf(hole_2,axiom,
hole(hole_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_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_4_is_not_pigeon_5,axiom,
pigeon_4 != pigeon_5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pigeon_4_is_not_pigeon_5) ).
cnf(hole_1,axiom,
hole(hole_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hole_1) ).
cnf(c_0_23,axiom,
( X1 = hole_1
| X1 = hole_2
| X1 = hole_3
| X1 = hole_4
| ~ hole(X1) ),
all_holes ).
cnf(c_0_24,axiom,
( hole(hole_of(X1))
| ~ pigeon(X1) ),
each_pigeons_hole1 ).
cnf(c_0_25,plain,
( hole_of(X1) = hole_4
| hole_of(X1) = hole_3
| hole_of(X1) = hole_2
| hole_of(X1) = hole_1
| ~ pigeon(X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_26,axiom,
pigeon(pigeon_4),
pigeon_4 ).
cnf(c_0_27,axiom,
pigeon(pigeon_2),
pigeon_2 ).
cnf(c_0_28,axiom,
pigeon(pigeon_3),
pigeon_3 ).
cnf(c_0_29,axiom,
( in(X1,hole_of(X1))
| ~ pigeon(X1) ),
each_pigeons_hole2 ).
cnf(c_0_30,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(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_31,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(spm,[status(thm)],[c_0_25,c_0_27]) ).
cnf(c_0_32,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(spm,[status(thm)],[c_0_25,c_0_28]) ).
cnf(c_0_33,plain,
( hole_of(pigeon_4) = hole_3
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_4) = hole_1
| in(pigeon_4,hole_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_26])]) ).
cnf(c_0_34,plain,
( hole_of(pigeon_2) = hole_3
| hole_of(pigeon_2) = hole_2
| hole_of(pigeon_2) = hole_1
| in(pigeon_2,hole_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_31]),c_0_27])]) ).
cnf(c_0_35,plain,
( hole_of(pigeon_3) = hole_3
| hole_of(pigeon_3) = hole_2
| hole_of(pigeon_3) = hole_1
| in(pigeon_3,hole_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_32]),c_0_28])]) ).
cnf(c_0_36,plain,
( hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| in(pigeon_4,hole_4)
| in(pigeon_4,hole_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_33]),c_0_26])]) ).
cnf(c_0_37,axiom,
pigeon(pigeon_1),
pigeon_1 ).
cnf(c_0_38,negated_conjecture,
( X2 = X3
| ~ hole(X1)
| ~ pigeon(X2)
| ~ pigeon(X3)
| ~ in(X2,X1)
| ~ in(X3,X1) ),
only_one_per_hole ).
cnf(c_0_39,axiom,
pigeon(pigeon_5),
pigeon_5 ).
cnf(c_0_40,plain,
( hole_of(pigeon_2) = hole_1
| hole_of(pigeon_2) = hole_2
| in(pigeon_2,hole_4)
| in(pigeon_2,hole_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_34]),c_0_27])]) ).
cnf(c_0_41,plain,
( hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| in(pigeon_3,hole_4)
| in(pigeon_3,hole_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_35]),c_0_28])]) ).
cnf(c_0_42,plain,
( hole_of(pigeon_4) = hole_1
| in(pigeon_4,hole_3)
| in(pigeon_4,hole_4)
| in(pigeon_4,hole_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_36]),c_0_26])]) ).
cnf(c_0_43,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(spm,[status(thm)],[c_0_25,c_0_37]) ).
cnf(c_0_44,negated_conjecture,
( X1 = X2
| ~ in(X1,hole_of(X2))
| ~ pigeon(X2)
| ~ pigeon(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_29]),c_0_24]) ).
cnf(c_0_45,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(spm,[status(thm)],[c_0_25,c_0_39]) ).
cnf(c_0_46,plain,
( hole_of(pigeon_2) = hole_1
| in(pigeon_2,hole_3)
| in(pigeon_2,hole_4)
| in(pigeon_2,hole_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_40]),c_0_27])]) ).
cnf(c_0_47,plain,
( hole_of(pigeon_3) = hole_1
| in(pigeon_3,hole_3)
| in(pigeon_3,hole_4)
| in(pigeon_3,hole_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_41]),c_0_28])]) ).
cnf(c_0_48,plain,
( in(pigeon_4,hole_2)
| in(pigeon_4,hole_4)
| in(pigeon_4,hole_3)
| in(pigeon_4,hole_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_42]),c_0_26])]) ).
cnf(c_0_49,axiom,
hole(hole_4),
hole_4 ).
cnf(c_0_50,plain,
( hole_of(pigeon_1) = hole_3
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_1
| in(pigeon_1,hole_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_43]),c_0_37])]) ).
cnf(c_0_51,negated_conjecture,
( hole_of(pigeon_5) = hole_3
| hole_of(pigeon_5) = hole_2
| hole_of(pigeon_5) = hole_1
| X1 = pigeon_5
| ~ in(X1,hole_4)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_39])]) ).
cnf(c_0_52,plain,
( in(pigeon_2,hole_2)
| in(pigeon_2,hole_4)
| in(pigeon_2,hole_3)
| in(pigeon_2,hole_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_46]),c_0_27])]) ).
cnf(c_0_53,axiom,
pigeon_2 != pigeon_5,
pigeon_2_is_not_pigeon_5 ).
cnf(c_0_54,plain,
( in(pigeon_3,hole_2)
| in(pigeon_3,hole_4)
| in(pigeon_3,hole_3)
| in(pigeon_3,hole_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_47]),c_0_28])]) ).
cnf(c_0_55,negated_conjecture,
( X1 = pigeon_4
| in(pigeon_4,hole_1)
| in(pigeon_4,hole_3)
| in(pigeon_4,hole_2)
| ~ in(X1,hole_4)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_48]),c_0_49]),c_0_26])]) ).
cnf(c_0_56,axiom,
pigeon_2 != pigeon_4,
pigeon_2_is_not_pigeon_4 ).
cnf(c_0_57,plain,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| in(pigeon_1,hole_4)
| in(pigeon_1,hole_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_50]),c_0_37])]) ).
cnf(c_0_58,negated_conjecture,
( hole_of(pigeon_5) = hole_1
| hole_of(pigeon_5) = hole_2
| hole_of(pigeon_5) = hole_3
| in(pigeon_2,hole_1)
| in(pigeon_2,hole_3)
| in(pigeon_2,hole_2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_27])]),c_0_53]) ).
cnf(c_0_59,negated_conjecture,
( X1 = pigeon_3
| in(pigeon_3,hole_1)
| in(pigeon_3,hole_3)
| in(pigeon_3,hole_2)
| ~ in(X1,hole_4)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_54]),c_0_49]),c_0_28])]) ).
cnf(c_0_60,axiom,
pigeon_2 != pigeon_3,
pigeon_2_is_not_pigeon_3 ).
cnf(c_0_61,negated_conjecture,
( in(pigeon_2,hole_1)
| in(pigeon_2,hole_3)
| in(pigeon_2,hole_2)
| in(pigeon_4,hole_2)
| in(pigeon_4,hole_3)
| in(pigeon_4,hole_1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_52]),c_0_27])]),c_0_56]) ).
cnf(c_0_62,axiom,
hole(hole_3),
hole_3 ).
cnf(c_0_63,plain,
( hole_of(pigeon_1) = hole_1
| in(pigeon_1,hole_3)
| in(pigeon_1,hole_4)
| in(pigeon_1,hole_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_57]),c_0_37])]) ).
cnf(c_0_64,negated_conjecture,
( hole_of(pigeon_5) = hole_2
| hole_of(pigeon_5) = hole_1
| X1 = pigeon_5
| in(pigeon_2,hole_2)
| in(pigeon_2,hole_3)
| in(pigeon_2,hole_1)
| ~ in(X1,hole_3)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_58]),c_0_39])]) ).
cnf(c_0_65,negated_conjecture,
( in(pigeon_2,hole_1)
| in(pigeon_2,hole_3)
| in(pigeon_2,hole_2)
| in(pigeon_3,hole_2)
| in(pigeon_3,hole_3)
| in(pigeon_3,hole_1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_52]),c_0_27])]),c_0_60]) ).
cnf(c_0_66,axiom,
pigeon_3 != pigeon_5,
pigeon_3_is_not_pigeon_5 ).
cnf(c_0_67,negated_conjecture,
( X1 = pigeon_4
| in(pigeon_4,hole_1)
| in(pigeon_4,hole_2)
| in(pigeon_2,hole_2)
| in(pigeon_2,hole_3)
| in(pigeon_2,hole_1)
| ~ in(X1,hole_3)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_61]),c_0_62]),c_0_26])]) ).
cnf(c_0_68,axiom,
pigeon_3 != pigeon_4,
pigeon_3_is_not_pigeon_4 ).
cnf(c_0_69,negated_conjecture,
( X1 = pigeon_2
| in(pigeon_2,hole_1)
| in(pigeon_2,hole_3)
| in(pigeon_2,hole_2)
| ~ in(X1,hole_4)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_52]),c_0_49]),c_0_27])]) ).
cnf(c_0_70,plain,
( in(pigeon_1,hole_2)
| in(pigeon_1,hole_4)
| in(pigeon_1,hole_3)
| in(pigeon_1,hole_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_63]),c_0_37])]) ).
cnf(c_0_71,axiom,
pigeon_1 != pigeon_2,
pigeon_1_is_not_pigeon_2 ).
cnf(c_0_72,negated_conjecture,
( hole_of(pigeon_5) = hole_1
| hole_of(pigeon_5) = hole_2
| in(pigeon_3,hole_1)
| in(pigeon_3,hole_2)
| in(pigeon_2,hole_1)
| in(pigeon_2,hole_3)
| in(pigeon_2,hole_2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_28])]),c_0_66]) ).
cnf(c_0_73,negated_conjecture,
( in(pigeon_3,hole_1)
| in(pigeon_3,hole_2)
| in(pigeon_2,hole_1)
| in(pigeon_2,hole_3)
| in(pigeon_2,hole_2)
| in(pigeon_4,hole_2)
| in(pigeon_4,hole_1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_65]),c_0_28])]),c_0_68]) ).
cnf(c_0_74,axiom,
hole(hole_2),
hole_2 ).
cnf(c_0_75,negated_conjecture,
( X1 = pigeon_3
| in(pigeon_3,hole_1)
| in(pigeon_3,hole_2)
| in(pigeon_2,hole_2)
| in(pigeon_2,hole_3)
| in(pigeon_2,hole_1)
| ~ in(X1,hole_3)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_65]),c_0_62]),c_0_28])]) ).
cnf(c_0_76,negated_conjecture,
( in(pigeon_1,hole_1)
| in(pigeon_1,hole_3)
| in(pigeon_1,hole_2)
| in(pigeon_2,hole_2)
| in(pigeon_2,hole_3)
| in(pigeon_2,hole_1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_37])]),c_0_71]) ).
cnf(c_0_77,axiom,
pigeon_1 != pigeon_3,
pigeon_1_is_not_pigeon_3 ).
cnf(c_0_78,negated_conjecture,
( hole_of(pigeon_5) = hole_1
| in(pigeon_2,hole_2)
| in(pigeon_2,hole_3)
| in(pigeon_2,hole_1)
| in(pigeon_3,hole_2)
| in(pigeon_3,hole_1)
| in(pigeon_5,hole_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_72]),c_0_39])]) ).
cnf(c_0_79,negated_conjecture,
( X1 = pigeon_4
| in(pigeon_4,hole_1)
| in(pigeon_2,hole_2)
| in(pigeon_2,hole_3)
| in(pigeon_2,hole_1)
| in(pigeon_3,hole_2)
| in(pigeon_3,hole_1)
| ~ in(X1,hole_2)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_73]),c_0_74]),c_0_26])]) ).
cnf(c_0_80,negated_conjecture,
( in(pigeon_1,hole_2)
| in(pigeon_1,hole_1)
| in(pigeon_2,hole_1)
| in(pigeon_2,hole_3)
| in(pigeon_2,hole_2)
| in(pigeon_3,hole_2)
| in(pigeon_3,hole_1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_37])]),c_0_77]) ).
cnf(c_0_81,axiom,
pigeon_1 != pigeon_4,
pigeon_1_is_not_pigeon_4 ).
cnf(c_0_82,negated_conjecture,
( X1 = pigeon_5
| in(pigeon_5,hole_2)
| in(pigeon_3,hole_1)
| in(pigeon_3,hole_2)
| in(pigeon_2,hole_1)
| in(pigeon_2,hole_3)
| in(pigeon_2,hole_2)
| ~ in(X1,hole_1)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_78]),c_0_39])]) ).
cnf(c_0_83,negated_conjecture,
( in(pigeon_1,hole_1)
| in(pigeon_3,hole_1)
| in(pigeon_3,hole_2)
| in(pigeon_2,hole_1)
| in(pigeon_2,hole_3)
| in(pigeon_2,hole_2)
| in(pigeon_4,hole_1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_37])]),c_0_81]) ).
cnf(c_0_84,axiom,
pigeon_1 != pigeon_5,
pigeon_1_is_not_pigeon_5 ).
cnf(c_0_85,negated_conjecture,
( in(pigeon_4,hole_1)
| in(pigeon_2,hole_2)
| in(pigeon_2,hole_3)
| in(pigeon_2,hole_1)
| in(pigeon_3,hole_2)
| in(pigeon_3,hole_1)
| in(pigeon_5,hole_2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_37])]),c_0_84]) ).
cnf(c_0_86,axiom,
pigeon_4 != pigeon_5,
pigeon_4_is_not_pigeon_5 ).
cnf(c_0_87,negated_conjecture,
( in(pigeon_3,hole_1)
| in(pigeon_3,hole_2)
| in(pigeon_2,hole_1)
| in(pigeon_2,hole_3)
| in(pigeon_2,hole_2)
| in(pigeon_4,hole_1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_85]),c_0_39])]),c_0_86]) ).
cnf(c_0_88,axiom,
hole(hole_1),
hole_1 ).
cnf(c_0_89,negated_conjecture,
( X1 = pigeon_1
| in(pigeon_3,hole_1)
| in(pigeon_3,hole_2)
| in(pigeon_2,hole_2)
| in(pigeon_2,hole_3)
| in(pigeon_2,hole_1)
| in(pigeon_1,hole_1)
| ~ in(X1,hole_2)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_80]),c_0_74]),c_0_37])]) ).
cnf(c_0_90,negated_conjecture,
( in(pigeon_2,hole_2)
| in(pigeon_2,hole_3)
| in(pigeon_2,hole_1)
| in(pigeon_3,hole_2)
| in(pigeon_3,hole_1)
| in(pigeon_5,hole_2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_87]),c_0_26])]),c_0_86]) ).
cnf(c_0_91,negated_conjecture,
( hole_of(pigeon_1) = hole_3
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_1
| X1 = pigeon_1
| ~ in(X1,hole_4)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_43]),c_0_37])]) ).
cnf(c_0_92,negated_conjecture,
( hole_of(pigeon_4) = hole_3
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_4) = hole_1
| X1 = pigeon_4
| ~ in(X1,hole_4)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_30]),c_0_26])]) ).
cnf(c_0_93,negated_conjecture,
( hole_of(pigeon_5) = hole_2
| hole_of(pigeon_5) = hole_1
| in(pigeon_2,hole_2)
| in(pigeon_2,hole_3)
| in(pigeon_2,hole_1)
| in(pigeon_5,hole_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_58]),c_0_39])]) ).
cnf(c_0_94,negated_conjecture,
( X1 = pigeon_4
| in(pigeon_2,hole_2)
| in(pigeon_2,hole_3)
| in(pigeon_2,hole_1)
| in(pigeon_3,hole_2)
| in(pigeon_3,hole_1)
| ~ in(X1,hole_1)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_87]),c_0_88]),c_0_26])]) ).
cnf(c_0_95,negated_conjecture,
( in(pigeon_1,hole_1)
| in(pigeon_2,hole_1)
| in(pigeon_2,hole_3)
| in(pigeon_2,hole_2)
| in(pigeon_3,hole_2)
| in(pigeon_3,hole_1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_39])]),c_0_84]) ).
cnf(c_0_96,negated_conjecture,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_3
| in(pigeon_2,hole_1)
| in(pigeon_2,hole_3)
| in(pigeon_2,hole_2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_52]),c_0_27])]),c_0_71]) ).
cnf(c_0_97,negated_conjecture,
( hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| hole_of(pigeon_4) = hole_3
| in(pigeon_2,hole_1)
| in(pigeon_2,hole_3)
| in(pigeon_2,hole_2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_52]),c_0_27])]),c_0_56]) ).
cnf(c_0_98,negated_conjecture,
( hole_of(pigeon_5) = hole_1
| X1 = pigeon_5
| in(pigeon_5,hole_3)
| in(pigeon_2,hole_1)
| in(pigeon_2,hole_3)
| in(pigeon_2,hole_2)
| ~ in(X1,hole_2)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_93]),c_0_39])]) ).
cnf(c_0_99,negated_conjecture,
( in(pigeon_3,hole_1)
| in(pigeon_3,hole_2)
| in(pigeon_2,hole_1)
| in(pigeon_2,hole_3)
| in(pigeon_2,hole_2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_37])]),c_0_81]) ).
cnf(c_0_100,negated_conjecture,
( hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_1
| in(pigeon_2,hole_2)
| in(pigeon_2,hole_3)
| in(pigeon_2,hole_1)
| in(pigeon_1,hole_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_96]),c_0_37])]) ).
cnf(c_0_101,negated_conjecture,
( hole_of(pigeon_4) = hole_2
| hole_of(pigeon_4) = hole_1
| in(pigeon_2,hole_2)
| in(pigeon_2,hole_3)
| in(pigeon_2,hole_1)
| in(pigeon_4,hole_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_97]),c_0_26])]) ).
cnf(c_0_102,negated_conjecture,
( hole_of(pigeon_5) = hole_1
| in(pigeon_3,hole_1)
| in(pigeon_2,hole_2)
| in(pigeon_2,hole_3)
| in(pigeon_2,hole_1)
| in(pigeon_5,hole_3) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_28])]),c_0_66]) ).
cnf(c_0_103,negated_conjecture,
( hole_of(pigeon_1) = hole_1
| X1 = pigeon_1
| in(pigeon_1,hole_3)
| in(pigeon_2,hole_1)
| in(pigeon_2,hole_3)
| in(pigeon_2,hole_2)
| ~ in(X1,hole_2)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_100]),c_0_37])]) ).
cnf(c_0_104,negated_conjecture,
( hole_of(pigeon_4) = hole_1
| X1 = pigeon_4
| in(pigeon_4,hole_3)
| in(pigeon_2,hole_1)
| in(pigeon_2,hole_3)
| in(pigeon_2,hole_2)
| ~ in(X1,hole_2)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_101]),c_0_26])]) ).
cnf(c_0_105,negated_conjecture,
( in(pigeon_5,hole_3)
| in(pigeon_2,hole_1)
| in(pigeon_2,hole_3)
| in(pigeon_2,hole_2)
| in(pigeon_3,hole_1)
| in(pigeon_5,hole_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_102]),c_0_39])]) ).
cnf(c_0_106,negated_conjecture,
( hole_of(pigeon_1) = hole_1
| in(pigeon_3,hole_1)
| in(pigeon_2,hole_2)
| in(pigeon_2,hole_3)
| in(pigeon_2,hole_1)
| in(pigeon_1,hole_3) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_99]),c_0_28])]),c_0_77]) ).
cnf(c_0_107,negated_conjecture,
( hole_of(pigeon_4) = hole_1
| in(pigeon_3,hole_1)
| in(pigeon_2,hole_2)
| in(pigeon_2,hole_3)
| in(pigeon_2,hole_1)
| in(pigeon_4,hole_3) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_99]),c_0_28])]),c_0_68]) ).
cnf(c_0_108,negated_conjecture,
( X1 = pigeon_5
| in(pigeon_5,hole_1)
| in(pigeon_3,hole_1)
| in(pigeon_2,hole_2)
| in(pigeon_2,hole_3)
| in(pigeon_2,hole_1)
| ~ in(X1,hole_3)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_105]),c_0_62]),c_0_39])]) ).
cnf(c_0_109,negated_conjecture,
( in(pigeon_1,hole_3)
| in(pigeon_2,hole_1)
| in(pigeon_2,hole_3)
| in(pigeon_2,hole_2)
| in(pigeon_3,hole_1)
| in(pigeon_1,hole_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_106]),c_0_37])]) ).
cnf(c_0_110,negated_conjecture,
( X1 = pigeon_4
| in(pigeon_4,hole_3)
| in(pigeon_2,hole_1)
| in(pigeon_2,hole_3)
| in(pigeon_2,hole_2)
| in(pigeon_3,hole_1)
| ~ in(X1,hole_1)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_107]),c_0_26])]) ).
cnf(c_0_111,negated_conjecture,
( in(pigeon_1,hole_1)
| in(pigeon_2,hole_1)
| in(pigeon_2,hole_3)
| in(pigeon_2,hole_2)
| in(pigeon_3,hole_1)
| in(pigeon_5,hole_1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_37])]),c_0_84]) ).
cnf(c_0_112,negated_conjecture,
( in(pigeon_5,hole_1)
| in(pigeon_3,hole_1)
| in(pigeon_2,hole_2)
| in(pigeon_2,hole_3)
| in(pigeon_2,hole_1)
| in(pigeon_4,hole_3) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_37])]),c_0_81]) ).
cnf(c_0_113,negated_conjecture,
( in(pigeon_3,hole_1)
| in(pigeon_2,hole_2)
| in(pigeon_2,hole_3)
| in(pigeon_2,hole_1)
| in(pigeon_4,hole_3) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_112]),c_0_39])]),c_0_86]) ).
cnf(c_0_114,negated_conjecture,
( X1 = pigeon_4
| in(pigeon_2,hole_1)
| in(pigeon_2,hole_3)
| in(pigeon_2,hole_2)
| in(pigeon_3,hole_1)
| ~ in(X1,hole_3)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_113]),c_0_62]),c_0_26])]) ).
cnf(c_0_115,negated_conjecture,
( X1 = pigeon_5
| in(pigeon_5,hole_3)
| in(pigeon_2,hole_1)
| in(pigeon_2,hole_3)
| in(pigeon_2,hole_2)
| in(pigeon_3,hole_1)
| ~ in(X1,hole_1)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_102]),c_0_39])]) ).
cnf(c_0_116,negated_conjecture,
( in(pigeon_1,hole_1)
| in(pigeon_3,hole_1)
| in(pigeon_2,hole_2)
| in(pigeon_2,hole_3)
| in(pigeon_2,hole_1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_109]),c_0_37])]),c_0_81]) ).
cnf(c_0_117,negated_conjecture,
( hole_of(pigeon_5) = hole_1
| in(pigeon_5,hole_3)
| in(pigeon_2,hole_1)
| in(pigeon_2,hole_3)
| in(pigeon_2,hole_2)
| in(pigeon_5,hole_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_93]),c_0_39])]) ).
cnf(c_0_118,negated_conjecture,
( in(pigeon_3,hole_1)
| in(pigeon_2,hole_2)
| in(pigeon_2,hole_3)
| in(pigeon_2,hole_1)
| in(pigeon_5,hole_3) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_37])]),c_0_84]) ).
cnf(c_0_119,negated_conjecture,
( X1 = pigeon_5
| in(pigeon_5,hole_2)
| in(pigeon_2,hole_2)
| in(pigeon_2,hole_3)
| in(pigeon_2,hole_1)
| in(pigeon_5,hole_3)
| ~ in(X1,hole_1)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_117]),c_0_39])]) ).
cnf(c_0_120,negated_conjecture,
( in(pigeon_3,hole_1)
| in(pigeon_2,hole_2)
| in(pigeon_2,hole_3)
| in(pigeon_2,hole_1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_118]),c_0_39])]),c_0_86]) ).
cnf(c_0_121,negated_conjecture,
( hole_of(pigeon_4) = hole_1
| in(pigeon_4,hole_3)
| in(pigeon_2,hole_1)
| in(pigeon_2,hole_3)
| in(pigeon_2,hole_2)
| in(pigeon_4,hole_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_101]),c_0_26])]) ).
cnf(c_0_122,negated_conjecture,
( in(pigeon_5,hole_3)
| in(pigeon_2,hole_1)
| in(pigeon_2,hole_3)
| in(pigeon_2,hole_2)
| in(pigeon_5,hole_2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_28])]),c_0_66]) ).
cnf(c_0_123,negated_conjecture,
( X1 = pigeon_4
| in(pigeon_4,hole_2)
| in(pigeon_2,hole_2)
| in(pigeon_2,hole_3)
| in(pigeon_2,hole_1)
| in(pigeon_4,hole_3)
| ~ in(X1,hole_1)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_121]),c_0_26])]) ).
cnf(c_0_124,negated_conjecture,
( hole_of(pigeon_1) = hole_1
| in(pigeon_1,hole_3)
| in(pigeon_2,hole_1)
| in(pigeon_2,hole_3)
| in(pigeon_2,hole_2)
| in(pigeon_1,hole_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_100]),c_0_37])]) ).
cnf(c_0_125,negated_conjecture,
( X1 = pigeon_5
| in(pigeon_5,hole_2)
| in(pigeon_2,hole_2)
| in(pigeon_2,hole_3)
| in(pigeon_2,hole_1)
| ~ in(X1,hole_3)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_122]),c_0_62]),c_0_39])]) ).
cnf(c_0_126,negated_conjecture,
( in(pigeon_4,hole_3)
| in(pigeon_2,hole_1)
| in(pigeon_2,hole_3)
| in(pigeon_2,hole_2)
| in(pigeon_4,hole_2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_120]),c_0_28])]),c_0_68]) ).
cnf(c_0_127,negated_conjecture,
( X1 = pigeon_1
| in(pigeon_1,hole_2)
| in(pigeon_2,hole_2)
| in(pigeon_2,hole_3)
| in(pigeon_2,hole_1)
| in(pigeon_1,hole_3)
| ~ in(X1,hole_1)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_124]),c_0_37])]) ).
cnf(c_0_128,negated_conjecture,
( in(pigeon_4,hole_2)
| in(pigeon_2,hole_1)
| in(pigeon_2,hole_3)
| in(pigeon_2,hole_2)
| in(pigeon_5,hole_2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_26])]),c_0_86]) ).
cnf(c_0_129,negated_conjecture,
( X1 = pigeon_4
| in(pigeon_4,hole_2)
| in(pigeon_2,hole_2)
| in(pigeon_2,hole_3)
| in(pigeon_2,hole_1)
| ~ in(X1,hole_3)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_126]),c_0_62]),c_0_26])]) ).
cnf(c_0_130,negated_conjecture,
( in(pigeon_1,hole_3)
| in(pigeon_2,hole_1)
| in(pigeon_2,hole_3)
| in(pigeon_2,hole_2)
| in(pigeon_1,hole_2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_120]),c_0_28])]),c_0_77]) ).
cnf(c_0_131,negated_conjecture,
( X1 = pigeon_5
| in(pigeon_2,hole_2)
| in(pigeon_2,hole_3)
| in(pigeon_2,hole_1)
| in(pigeon_4,hole_2)
| ~ in(X1,hole_2)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_128]),c_0_74]),c_0_39])]) ).
cnf(c_0_132,negated_conjecture,
( in(pigeon_1,hole_2)
| in(pigeon_2,hole_1)
| in(pigeon_2,hole_3)
| in(pigeon_2,hole_2)
| in(pigeon_4,hole_2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_37])]),c_0_81]) ).
cnf(c_0_133,negated_conjecture,
( in(pigeon_4,hole_2)
| in(pigeon_2,hole_1)
| in(pigeon_2,hole_3)
| in(pigeon_2,hole_2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_37])]),c_0_84]) ).
cnf(c_0_134,negated_conjecture,
( X1 = pigeon_4
| in(pigeon_2,hole_2)
| in(pigeon_2,hole_3)
| in(pigeon_2,hole_1)
| ~ in(X1,hole_2)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_133]),c_0_74]),c_0_26])]) ).
cnf(c_0_135,negated_conjecture,
( in(pigeon_1,hole_2)
| in(pigeon_2,hole_1)
| in(pigeon_2,hole_3)
| in(pigeon_2,hole_2)
| in(pigeon_5,hole_2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_130]),c_0_37])]),c_0_84]) ).
cnf(c_0_136,plain,
( hole_of(pigeon_5) = hole_3
| hole_of(pigeon_5) = hole_2
| hole_of(pigeon_5) = hole_1
| in(pigeon_5,hole_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_45]),c_0_39])]) ).
cnf(c_0_137,negated_conjecture,
( in(pigeon_5,hole_2)
| in(pigeon_2,hole_1)
| in(pigeon_2,hole_3)
| in(pigeon_2,hole_2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_37])]),c_0_81]) ).
cnf(c_0_138,negated_conjecture,
( hole_of(pigeon_5) = hole_1
| hole_of(pigeon_5) = hole_2
| X1 = pigeon_5
| in(pigeon_5,hole_4)
| ~ in(X1,hole_3)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_136]),c_0_39])]) ).
cnf(c_0_139,negated_conjecture,
( in(pigeon_2,hole_1)
| in(pigeon_2,hole_3)
| in(pigeon_2,hole_2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_137]),c_0_39])]),c_0_86]) ).
cnf(c_0_140,negated_conjecture,
( hole_of(pigeon_5) = hole_2
| hole_of(pigeon_5) = hole_1
| in(pigeon_2,hole_2)
| in(pigeon_2,hole_1)
| in(pigeon_5,hole_4) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_27])]),c_0_53]) ).
cnf(c_0_141,negated_conjecture,
( hole_of(pigeon_3) = hole_1
| hole_of(pigeon_3) = hole_2
| X1 = pigeon_3
| in(pigeon_3,hole_4)
| ~ in(X1,hole_3)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_35]),c_0_28])]) ).
cnf(c_0_142,negated_conjecture,
( hole_of(pigeon_4) = hole_1
| hole_of(pigeon_4) = hole_2
| X1 = pigeon_4
| in(pigeon_4,hole_4)
| ~ in(X1,hole_3)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_33]),c_0_26])]) ).
cnf(c_0_143,negated_conjecture,
( hole_of(pigeon_5) = hole_1
| in(pigeon_5,hole_4)
| in(pigeon_2,hole_1)
| in(pigeon_2,hole_2)
| in(pigeon_5,hole_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_140]),c_0_39])]) ).
cnf(c_0_144,negated_conjecture,
( hole_of(pigeon_3) = hole_2
| hole_of(pigeon_3) = hole_1
| in(pigeon_2,hole_2)
| in(pigeon_2,hole_1)
| in(pigeon_3,hole_4) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_139]),c_0_27])]),c_0_60]) ).
cnf(c_0_145,negated_conjecture,
( hole_of(pigeon_4) = hole_2
| hole_of(pigeon_4) = hole_1
| in(pigeon_2,hole_2)
| in(pigeon_2,hole_1)
| in(pigeon_4,hole_4) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_139]),c_0_27])]),c_0_56]) ).
cnf(c_0_146,negated_conjecture,
( in(pigeon_5,hole_2)
| in(pigeon_2,hole_2)
| in(pigeon_2,hole_1)
| in(pigeon_5,hole_4)
| in(pigeon_5,hole_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_143]),c_0_39])]) ).
cnf(c_0_147,negated_conjecture,
( hole_of(pigeon_3) = hole_1
| in(pigeon_3,hole_4)
| in(pigeon_2,hole_1)
| in(pigeon_2,hole_2)
| in(pigeon_3,hole_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_144]),c_0_28])]) ).
cnf(c_0_148,negated_conjecture,
( hole_of(pigeon_4) = hole_1
| in(pigeon_4,hole_4)
| in(pigeon_2,hole_1)
| in(pigeon_2,hole_2)
| in(pigeon_4,hole_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_145]),c_0_26])]) ).
cnf(c_0_149,negated_conjecture,
( hole_of(pigeon_1) = hole_1
| hole_of(pigeon_1) = hole_2
| X1 = pigeon_1
| in(pigeon_1,hole_4)
| ~ in(X1,hole_3)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_50]),c_0_37])]) ).
cnf(c_0_150,negated_conjecture,
( X1 = pigeon_5
| in(pigeon_5,hole_1)
| in(pigeon_2,hole_1)
| in(pigeon_2,hole_2)
| in(pigeon_5,hole_2)
| ~ in(X1,hole_4)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_146]),c_0_49]),c_0_39])]) ).
cnf(c_0_151,negated_conjecture,
( in(pigeon_3,hole_2)
| in(pigeon_2,hole_2)
| in(pigeon_2,hole_1)
| in(pigeon_3,hole_4)
| in(pigeon_3,hole_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_147]),c_0_28])]) ).
cnf(c_0_152,negated_conjecture,
( in(pigeon_4,hole_2)
| in(pigeon_2,hole_2)
| in(pigeon_2,hole_1)
| in(pigeon_4,hole_4)
| in(pigeon_4,hole_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_148]),c_0_26])]) ).
cnf(c_0_153,negated_conjecture,
( hole_of(pigeon_1) = hole_2
| hole_of(pigeon_1) = hole_1
| in(pigeon_2,hole_2)
| in(pigeon_2,hole_1)
| in(pigeon_1,hole_4) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_139]),c_0_27])]),c_0_71]) ).
cnf(c_0_154,negated_conjecture,
( in(pigeon_3,hole_1)
| in(pigeon_3,hole_2)
| in(pigeon_5,hole_2)
| in(pigeon_2,hole_2)
| in(pigeon_2,hole_1)
| in(pigeon_5,hole_1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_28])]),c_0_66]) ).
cnf(c_0_155,negated_conjecture,
( X1 = pigeon_4
| in(pigeon_4,hole_1)
| in(pigeon_2,hole_1)
| in(pigeon_2,hole_2)
| in(pigeon_4,hole_2)
| ~ in(X1,hole_4)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_152]),c_0_49]),c_0_26])]) ).
cnf(c_0_156,negated_conjecture,
( hole_of(pigeon_1) = hole_1
| in(pigeon_1,hole_4)
| in(pigeon_2,hole_1)
| in(pigeon_2,hole_2)
| in(pigeon_1,hole_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_153]),c_0_37])]) ).
cnf(c_0_157,negated_conjecture,
( X1 = pigeon_5
| in(pigeon_5,hole_1)
| in(pigeon_2,hole_1)
| in(pigeon_2,hole_2)
| in(pigeon_3,hole_2)
| in(pigeon_3,hole_1)
| ~ in(X1,hole_2)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_154]),c_0_74]),c_0_39])]) ).
cnf(c_0_158,negated_conjecture,
( in(pigeon_3,hole_1)
| in(pigeon_3,hole_2)
| in(pigeon_4,hole_2)
| in(pigeon_2,hole_2)
| in(pigeon_2,hole_1)
| in(pigeon_4,hole_1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_151]),c_0_28])]),c_0_68]) ).
cnf(c_0_159,negated_conjecture,
( X1 = pigeon_3
| in(pigeon_3,hole_1)
| in(pigeon_2,hole_1)
| in(pigeon_2,hole_2)
| in(pigeon_3,hole_2)
| ~ in(X1,hole_4)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_151]),c_0_49]),c_0_28])]) ).
cnf(c_0_160,negated_conjecture,
( in(pigeon_1,hole_2)
| in(pigeon_2,hole_2)
| in(pigeon_2,hole_1)
| in(pigeon_1,hole_4)
| in(pigeon_1,hole_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_156]),c_0_37])]) ).
cnf(c_0_161,negated_conjecture,
( in(pigeon_4,hole_1)
| in(pigeon_3,hole_1)
| in(pigeon_3,hole_2)
| in(pigeon_2,hole_2)
| in(pigeon_2,hole_1)
| in(pigeon_5,hole_1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_26])]),c_0_86]) ).
cnf(c_0_162,negated_conjecture,
( X1 = pigeon_4
| in(pigeon_4,hole_1)
| in(pigeon_2,hole_1)
| in(pigeon_2,hole_2)
| in(pigeon_3,hole_2)
| in(pigeon_3,hole_1)
| ~ in(X1,hole_2)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_158]),c_0_74]),c_0_26])]) ).
cnf(c_0_163,negated_conjecture,
( in(pigeon_1,hole_1)
| in(pigeon_1,hole_2)
| in(pigeon_3,hole_2)
| in(pigeon_2,hole_2)
| in(pigeon_2,hole_1)
| in(pigeon_3,hole_1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_37])]),c_0_77]) ).
cnf(c_0_164,negated_conjecture,
( X1 = pigeon_5
| in(pigeon_2,hole_1)
| in(pigeon_2,hole_2)
| in(pigeon_3,hole_2)
| in(pigeon_3,hole_1)
| in(pigeon_4,hole_1)
| ~ in(X1,hole_1)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_161]),c_0_88]),c_0_39])]) ).
cnf(c_0_165,negated_conjecture,
( in(pigeon_1,hole_1)
| in(pigeon_3,hole_1)
| in(pigeon_3,hole_2)
| in(pigeon_2,hole_2)
| in(pigeon_2,hole_1)
| in(pigeon_4,hole_1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_163]),c_0_37])]),c_0_81]) ).
cnf(c_0_166,negated_conjecture,
( in(pigeon_4,hole_1)
| in(pigeon_3,hole_1)
| in(pigeon_3,hole_2)
| in(pigeon_2,hole_2)
| in(pigeon_2,hole_1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_165]),c_0_37])]),c_0_84]) ).
cnf(c_0_167,negated_conjecture,
( X1 = pigeon_4
| in(pigeon_2,hole_1)
| in(pigeon_2,hole_2)
| in(pigeon_3,hole_2)
| in(pigeon_3,hole_1)
| ~ in(X1,hole_1)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_166]),c_0_88]),c_0_26])]) ).
cnf(c_0_168,negated_conjecture,
( in(pigeon_1,hole_1)
| in(pigeon_3,hole_1)
| in(pigeon_3,hole_2)
| in(pigeon_2,hole_2)
| in(pigeon_2,hole_1)
| in(pigeon_5,hole_1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_163]),c_0_37])]),c_0_84]) ).
cnf(c_0_169,negated_conjecture,
( in(pigeon_5,hole_1)
| in(pigeon_3,hole_1)
| in(pigeon_3,hole_2)
| in(pigeon_2,hole_2)
| in(pigeon_2,hole_1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_37])]),c_0_81]) ).
cnf(c_0_170,negated_conjecture,
( hole_of(pigeon_5) = hole_1
| X1 = pigeon_5
| in(pigeon_5,hole_4)
| in(pigeon_2,hole_1)
| in(pigeon_2,hole_2)
| ~ in(X1,hole_2)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_140]),c_0_39])]) ).
cnf(c_0_171,negated_conjecture,
( in(pigeon_3,hole_1)
| in(pigeon_3,hole_2)
| in(pigeon_2,hole_2)
| in(pigeon_2,hole_1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_169]),c_0_39])]),c_0_86]) ).
cnf(c_0_172,negated_conjecture,
( hole_of(pigeon_5) = hole_1
| in(pigeon_3,hole_1)
| in(pigeon_2,hole_2)
| in(pigeon_2,hole_1)
| in(pigeon_5,hole_4) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_171]),c_0_28])]),c_0_66]) ).
cnf(c_0_173,negated_conjecture,
( hole_of(pigeon_1) = hole_1
| X1 = pigeon_1
| in(pigeon_1,hole_4)
| in(pigeon_2,hole_1)
| in(pigeon_2,hole_2)
| ~ in(X1,hole_2)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_153]),c_0_37])]) ).
cnf(c_0_174,negated_conjecture,
( hole_of(pigeon_4) = hole_1
| X1 = pigeon_4
| in(pigeon_4,hole_4)
| in(pigeon_2,hole_1)
| in(pigeon_2,hole_2)
| ~ in(X1,hole_2)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_145]),c_0_26])]) ).
cnf(c_0_175,negated_conjecture,
( in(pigeon_5,hole_4)
| in(pigeon_2,hole_1)
| in(pigeon_2,hole_2)
| in(pigeon_3,hole_1)
| in(pigeon_5,hole_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_172]),c_0_39])]) ).
cnf(c_0_176,negated_conjecture,
( hole_of(pigeon_1) = hole_1
| in(pigeon_3,hole_1)
| in(pigeon_2,hole_2)
| in(pigeon_2,hole_1)
| in(pigeon_1,hole_4) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_171]),c_0_28])]),c_0_77]) ).
cnf(c_0_177,negated_conjecture,
( hole_of(pigeon_4) = hole_1
| in(pigeon_3,hole_1)
| in(pigeon_2,hole_2)
| in(pigeon_2,hole_1)
| in(pigeon_4,hole_4) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_171]),c_0_28])]),c_0_68]) ).
cnf(c_0_178,negated_conjecture,
( X1 = pigeon_5
| in(pigeon_5,hole_1)
| in(pigeon_3,hole_1)
| in(pigeon_2,hole_2)
| in(pigeon_2,hole_1)
| ~ in(X1,hole_4)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_175]),c_0_49]),c_0_39])]) ).
cnf(c_0_179,negated_conjecture,
( in(pigeon_1,hole_4)
| in(pigeon_2,hole_1)
| in(pigeon_2,hole_2)
| in(pigeon_3,hole_1)
| in(pigeon_1,hole_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_176]),c_0_37])]) ).
cnf(c_0_180,negated_conjecture,
( X1 = pigeon_4
| in(pigeon_4,hole_4)
| in(pigeon_2,hole_1)
| in(pigeon_2,hole_2)
| in(pigeon_3,hole_1)
| ~ in(X1,hole_1)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_177]),c_0_26])]) ).
cnf(c_0_181,negated_conjecture,
( in(pigeon_1,hole_1)
| in(pigeon_2,hole_1)
| in(pigeon_2,hole_2)
| in(pigeon_3,hole_1)
| in(pigeon_5,hole_1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_179]),c_0_37])]),c_0_84]) ).
cnf(c_0_182,negated_conjecture,
( in(pigeon_5,hole_1)
| in(pigeon_3,hole_1)
| in(pigeon_2,hole_2)
| in(pigeon_2,hole_1)
| in(pigeon_4,hole_4) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_181]),c_0_37])]),c_0_81]) ).
cnf(c_0_183,negated_conjecture,
( in(pigeon_3,hole_1)
| in(pigeon_2,hole_2)
| in(pigeon_2,hole_1)
| in(pigeon_4,hole_4) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_182]),c_0_39])]),c_0_86]) ).
cnf(c_0_184,negated_conjecture,
( X1 = pigeon_1
| in(pigeon_1,hole_4)
| in(pigeon_2,hole_1)
| in(pigeon_2,hole_2)
| in(pigeon_3,hole_1)
| ~ in(X1,hole_1)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_176]),c_0_37])]) ).
cnf(c_0_185,negated_conjecture,
( in(pigeon_2,hole_1)
| in(pigeon_2,hole_2)
| in(pigeon_3,hole_1)
| in(pigeon_5,hole_1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_183]),c_0_26])]),c_0_86]) ).
cnf(c_0_186,negated_conjecture,
( X1 = pigeon_4
| in(pigeon_2,hole_1)
| in(pigeon_2,hole_2)
| in(pigeon_3,hole_1)
| ~ in(X1,hole_4)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_183]),c_0_49]),c_0_26])]) ).
cnf(c_0_187,negated_conjecture,
( in(pigeon_3,hole_1)
| in(pigeon_2,hole_2)
| in(pigeon_2,hole_1)
| in(pigeon_1,hole_4) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_185]),c_0_39])]),c_0_84]) ).
cnf(c_0_188,negated_conjecture,
( X1 = pigeon_5
| in(pigeon_5,hole_2)
| in(pigeon_2,hole_2)
| in(pigeon_2,hole_1)
| in(pigeon_5,hole_4)
| ~ in(X1,hole_1)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_143]),c_0_39])]) ).
cnf(c_0_189,negated_conjecture,
( in(pigeon_3,hole_1)
| in(pigeon_2,hole_2)
| in(pigeon_2,hole_1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_187]),c_0_37])]),c_0_81]) ).
cnf(c_0_190,negated_conjecture,
( in(pigeon_5,hole_4)
| in(pigeon_2,hole_1)
| in(pigeon_2,hole_2)
| in(pigeon_5,hole_2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_189]),c_0_28])]),c_0_66]) ).
cnf(c_0_191,negated_conjecture,
( X1 = pigeon_4
| in(pigeon_4,hole_2)
| in(pigeon_2,hole_2)
| in(pigeon_2,hole_1)
| in(pigeon_4,hole_4)
| ~ in(X1,hole_1)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_148]),c_0_26])]) ).
cnf(c_0_192,negated_conjecture,
( X1 = pigeon_5
| in(pigeon_5,hole_2)
| in(pigeon_2,hole_2)
| in(pigeon_2,hole_1)
| ~ in(X1,hole_4)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_190]),c_0_49]),c_0_39])]) ).
cnf(c_0_193,negated_conjecture,
( in(pigeon_4,hole_4)
| in(pigeon_2,hole_1)
| in(pigeon_2,hole_2)
| in(pigeon_4,hole_2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_189]),c_0_28])]),c_0_68]) ).
cnf(c_0_194,negated_conjecture,
( X1 = pigeon_1
| in(pigeon_1,hole_2)
| in(pigeon_2,hole_2)
| in(pigeon_2,hole_1)
| in(pigeon_1,hole_4)
| ~ in(X1,hole_1)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_156]),c_0_37])]) ).
cnf(c_0_195,negated_conjecture,
( in(pigeon_4,hole_2)
| in(pigeon_2,hole_1)
| in(pigeon_2,hole_2)
| in(pigeon_5,hole_2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_193]),c_0_26])]),c_0_86]) ).
cnf(c_0_196,negated_conjecture,
( X1 = pigeon_4
| in(pigeon_4,hole_2)
| in(pigeon_2,hole_2)
| in(pigeon_2,hole_1)
| ~ in(X1,hole_4)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_193]),c_0_49]),c_0_26])]) ).
cnf(c_0_197,negated_conjecture,
( in(pigeon_1,hole_4)
| in(pigeon_2,hole_1)
| in(pigeon_2,hole_2)
| in(pigeon_1,hole_2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_189]),c_0_28])]),c_0_77]) ).
cnf(c_0_198,negated_conjecture,
( X1 = pigeon_5
| in(pigeon_2,hole_2)
| in(pigeon_2,hole_1)
| in(pigeon_4,hole_2)
| ~ in(X1,hole_2)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_195]),c_0_74]),c_0_39])]) ).
cnf(c_0_199,negated_conjecture,
( in(pigeon_1,hole_2)
| in(pigeon_2,hole_1)
| in(pigeon_2,hole_2)
| in(pigeon_4,hole_2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_197]),c_0_37])]),c_0_81]) ).
cnf(c_0_200,negated_conjecture,
( in(pigeon_4,hole_2)
| in(pigeon_2,hole_1)
| in(pigeon_2,hole_2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_199]),c_0_37])]),c_0_84]) ).
cnf(c_0_201,negated_conjecture,
( X1 = pigeon_4
| in(pigeon_2,hole_2)
| in(pigeon_2,hole_1)
| ~ in(X1,hole_2)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_200]),c_0_74]),c_0_26])]) ).
cnf(c_0_202,negated_conjecture,
( in(pigeon_1,hole_2)
| in(pigeon_2,hole_1)
| in(pigeon_2,hole_2)
| in(pigeon_5,hole_2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_197]),c_0_37])]),c_0_84]) ).
cnf(c_0_203,plain,
( hole_of(pigeon_5) = hole_1
| hole_of(pigeon_5) = hole_2
| in(pigeon_5,hole_4)
| in(pigeon_5,hole_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_136]),c_0_39])]) ).
cnf(c_0_204,negated_conjecture,
( in(pigeon_5,hole_2)
| in(pigeon_2,hole_1)
| in(pigeon_2,hole_2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_202]),c_0_37])]),c_0_81]) ).
cnf(c_0_205,negated_conjecture,
( hole_of(pigeon_5) = hole_1
| X1 = pigeon_5
| in(pigeon_5,hole_3)
| in(pigeon_5,hole_4)
| ~ in(X1,hole_2)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_203]),c_0_39])]) ).
cnf(c_0_206,negated_conjecture,
( in(pigeon_2,hole_1)
| in(pigeon_2,hole_2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_204]),c_0_39])]),c_0_86]) ).
cnf(c_0_207,negated_conjecture,
( hole_of(pigeon_5) = hole_1
| in(pigeon_2,hole_1)
| in(pigeon_5,hole_4)
| in(pigeon_5,hole_3) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_206]),c_0_27])]),c_0_53]) ).
cnf(c_0_208,negated_conjecture,
( hole_of(pigeon_3) = hole_1
| X1 = pigeon_3
| in(pigeon_3,hole_3)
| in(pigeon_3,hole_4)
| ~ in(X1,hole_2)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_41]),c_0_28])]) ).
cnf(c_0_209,negated_conjecture,
( hole_of(pigeon_4) = hole_1
| X1 = pigeon_4
| in(pigeon_4,hole_3)
| in(pigeon_4,hole_4)
| ~ in(X1,hole_2)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_36]),c_0_26])]) ).
cnf(c_0_210,negated_conjecture,
( in(pigeon_5,hole_3)
| in(pigeon_5,hole_4)
| in(pigeon_2,hole_1)
| in(pigeon_5,hole_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_207]),c_0_39])]) ).
cnf(c_0_211,negated_conjecture,
( hole_of(pigeon_3) = hole_1
| in(pigeon_2,hole_1)
| in(pigeon_3,hole_4)
| in(pigeon_3,hole_3) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_206]),c_0_27])]),c_0_60]) ).
cnf(c_0_212,negated_conjecture,
( hole_of(pigeon_4) = hole_1
| in(pigeon_2,hole_1)
| in(pigeon_4,hole_4)
| in(pigeon_4,hole_3) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_206]),c_0_27])]),c_0_56]) ).
cnf(c_0_213,negated_conjecture,
( X1 = pigeon_5
| in(pigeon_5,hole_1)
| in(pigeon_2,hole_1)
| in(pigeon_5,hole_3)
| ~ in(X1,hole_4)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_210]),c_0_49]),c_0_39])]) ).
cnf(c_0_214,negated_conjecture,
( in(pigeon_3,hole_3)
| in(pigeon_3,hole_4)
| in(pigeon_2,hole_1)
| in(pigeon_3,hole_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_211]),c_0_28])]) ).
cnf(c_0_215,negated_conjecture,
( in(pigeon_4,hole_3)
| in(pigeon_4,hole_4)
| in(pigeon_2,hole_1)
| in(pigeon_4,hole_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_212]),c_0_26])]) ).
cnf(c_0_216,negated_conjecture,
( hole_of(pigeon_1) = hole_1
| X1 = pigeon_1
| in(pigeon_1,hole_3)
| in(pigeon_1,hole_4)
| ~ in(X1,hole_2)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_57]),c_0_37])]) ).
cnf(c_0_217,negated_conjecture,
( in(pigeon_3,hole_1)
| in(pigeon_3,hole_3)
| in(pigeon_5,hole_3)
| in(pigeon_2,hole_1)
| in(pigeon_5,hole_1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_214]),c_0_28])]),c_0_66]) ).
cnf(c_0_218,negated_conjecture,
( X1 = pigeon_4
| in(pigeon_4,hole_1)
| in(pigeon_2,hole_1)
| in(pigeon_4,hole_3)
| ~ in(X1,hole_4)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_215]),c_0_49]),c_0_26])]) ).
cnf(c_0_219,negated_conjecture,
( hole_of(pigeon_1) = hole_1
| in(pigeon_2,hole_1)
| in(pigeon_1,hole_4)
| in(pigeon_1,hole_3) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_206]),c_0_27])]),c_0_71]) ).
cnf(c_0_220,negated_conjecture,
( X1 = pigeon_5
| in(pigeon_5,hole_1)
| in(pigeon_2,hole_1)
| in(pigeon_3,hole_3)
| in(pigeon_3,hole_1)
| ~ in(X1,hole_3)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_217]),c_0_62]),c_0_39])]) ).
cnf(c_0_221,negated_conjecture,
( in(pigeon_3,hole_1)
| in(pigeon_3,hole_3)
| in(pigeon_4,hole_3)
| in(pigeon_2,hole_1)
| in(pigeon_4,hole_1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_214]),c_0_28])]),c_0_68]) ).
cnf(c_0_222,negated_conjecture,
( X1 = pigeon_3
| in(pigeon_3,hole_1)
| in(pigeon_2,hole_1)
| in(pigeon_3,hole_3)
| ~ in(X1,hole_4)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_214]),c_0_49]),c_0_28])]) ).
cnf(c_0_223,negated_conjecture,
( in(pigeon_1,hole_3)
| in(pigeon_1,hole_4)
| in(pigeon_2,hole_1)
| in(pigeon_1,hole_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_219]),c_0_37])]) ).
cnf(c_0_224,negated_conjecture,
( in(pigeon_4,hole_1)
| in(pigeon_3,hole_1)
| in(pigeon_3,hole_3)
| in(pigeon_2,hole_1)
| in(pigeon_5,hole_1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_221]),c_0_26])]),c_0_86]) ).
cnf(c_0_225,negated_conjecture,
( X1 = pigeon_4
| in(pigeon_4,hole_1)
| in(pigeon_2,hole_1)
| in(pigeon_3,hole_3)
| in(pigeon_3,hole_1)
| ~ in(X1,hole_3)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_221]),c_0_62]),c_0_26])]) ).
cnf(c_0_226,negated_conjecture,
( in(pigeon_1,hole_1)
| in(pigeon_1,hole_3)
| in(pigeon_3,hole_3)
| in(pigeon_2,hole_1)
| in(pigeon_3,hole_1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_223]),c_0_37])]),c_0_77]) ).
cnf(c_0_227,negated_conjecture,
( X1 = pigeon_5
| in(pigeon_2,hole_1)
| in(pigeon_3,hole_3)
| in(pigeon_3,hole_1)
| in(pigeon_4,hole_1)
| ~ in(X1,hole_1)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_224]),c_0_88]),c_0_39])]) ).
cnf(c_0_228,negated_conjecture,
( in(pigeon_1,hole_1)
| in(pigeon_3,hole_1)
| in(pigeon_3,hole_3)
| in(pigeon_2,hole_1)
| in(pigeon_4,hole_1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_226]),c_0_37])]),c_0_81]) ).
cnf(c_0_229,negated_conjecture,
( in(pigeon_4,hole_1)
| in(pigeon_3,hole_1)
| in(pigeon_3,hole_3)
| in(pigeon_2,hole_1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_228]),c_0_37])]),c_0_84]) ).
cnf(c_0_230,negated_conjecture,
( X1 = pigeon_4
| in(pigeon_2,hole_1)
| in(pigeon_3,hole_3)
| in(pigeon_3,hole_1)
| ~ in(X1,hole_1)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_229]),c_0_88]),c_0_26])]) ).
cnf(c_0_231,negated_conjecture,
( in(pigeon_1,hole_1)
| in(pigeon_3,hole_1)
| in(pigeon_3,hole_3)
| in(pigeon_2,hole_1)
| in(pigeon_5,hole_1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_226]),c_0_37])]),c_0_84]) ).
cnf(c_0_232,negated_conjecture,
( in(pigeon_4,hole_1)
| in(pigeon_4,hole_3)
| in(pigeon_5,hole_3)
| in(pigeon_2,hole_1)
| in(pigeon_5,hole_1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_215]),c_0_26])]),c_0_86]) ).
cnf(c_0_233,negated_conjecture,
( in(pigeon_5,hole_1)
| in(pigeon_3,hole_1)
| in(pigeon_3,hole_3)
| in(pigeon_2,hole_1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_231]),c_0_37])]),c_0_81]) ).
cnf(c_0_234,negated_conjecture,
( X1 = pigeon_5
| in(pigeon_5,hole_1)
| in(pigeon_2,hole_1)
| in(pigeon_4,hole_3)
| in(pigeon_4,hole_1)
| ~ in(X1,hole_3)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_232]),c_0_62]),c_0_39])]) ).
cnf(c_0_235,negated_conjecture,
( in(pigeon_3,hole_1)
| in(pigeon_3,hole_3)
| in(pigeon_2,hole_1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_233]),c_0_39])]),c_0_86]) ).
cnf(c_0_236,negated_conjecture,
( in(pigeon_1,hole_1)
| in(pigeon_1,hole_3)
| in(pigeon_4,hole_3)
| in(pigeon_2,hole_1)
| in(pigeon_4,hole_1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_223]),c_0_37])]),c_0_81]) ).
cnf(c_0_237,negated_conjecture,
( in(pigeon_1,hole_1)
| in(pigeon_1,hole_3)
| in(pigeon_5,hole_3)
| in(pigeon_2,hole_1)
| in(pigeon_5,hole_1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_223]),c_0_37])]),c_0_84]) ).
cnf(c_0_238,negated_conjecture,
( in(pigeon_3,hole_1)
| in(pigeon_4,hole_1)
| in(pigeon_4,hole_3)
| in(pigeon_2,hole_1)
| in(pigeon_5,hole_1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_235]),c_0_28])]),c_0_66]) ).
cnf(c_0_239,negated_conjecture,
( X1 = pigeon_1
| in(pigeon_4,hole_1)
| in(pigeon_2,hole_1)
| in(pigeon_4,hole_3)
| in(pigeon_1,hole_1)
| ~ in(X1,hole_3)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_236]),c_0_62]),c_0_37])]) ).
cnf(c_0_240,negated_conjecture,
( X1 = pigeon_1
| in(pigeon_5,hole_1)
| in(pigeon_2,hole_1)
| in(pigeon_5,hole_3)
| in(pigeon_1,hole_1)
| ~ in(X1,hole_3)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_237]),c_0_62]),c_0_37])]) ).
cnf(c_0_241,negated_conjecture,
( X1 = pigeon_5
| in(pigeon_2,hole_1)
| in(pigeon_4,hole_3)
| in(pigeon_4,hole_1)
| in(pigeon_3,hole_1)
| ~ in(X1,hole_1)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_238]),c_0_88]),c_0_39])]) ).
cnf(c_0_242,negated_conjecture,
( in(pigeon_3,hole_1)
| in(pigeon_1,hole_1)
| in(pigeon_4,hole_3)
| in(pigeon_2,hole_1)
| in(pigeon_4,hole_1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_235]),c_0_28])]),c_0_77]) ).
cnf(c_0_243,negated_conjecture,
( in(pigeon_3,hole_1)
| in(pigeon_1,hole_1)
| in(pigeon_5,hole_3)
| in(pigeon_2,hole_1)
| in(pigeon_5,hole_1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_235]),c_0_28])]),c_0_77]) ).
cnf(c_0_244,negated_conjecture,
( X1 = pigeon_3
| in(pigeon_2,hole_1)
| in(pigeon_3,hole_1)
| ~ in(X1,hole_3)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_235]),c_0_62]),c_0_28])]) ).
cnf(c_0_245,negated_conjecture,
( in(pigeon_3,hole_1)
| in(pigeon_4,hole_1)
| in(pigeon_4,hole_3)
| in(pigeon_2,hole_1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_242]),c_0_37])]),c_0_84]) ).
cnf(c_0_246,negated_conjecture,
( X1 = pigeon_1
| in(pigeon_5,hole_1)
| in(pigeon_2,hole_1)
| in(pigeon_5,hole_3)
| in(pigeon_3,hole_1)
| ~ in(X1,hole_1)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_243]),c_0_88]),c_0_37])]) ).
cnf(c_0_247,negated_conjecture,
( in(pigeon_4,hole_1)
| in(pigeon_3,hole_1)
| in(pigeon_2,hole_1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_245]),c_0_26])]),c_0_68]) ).
cnf(c_0_248,negated_conjecture,
( in(pigeon_3,hole_1)
| in(pigeon_5,hole_3)
| in(pigeon_2,hole_1)
| in(pigeon_5,hole_1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_247]),c_0_26])]),c_0_81]) ).
cnf(c_0_249,negated_conjecture,
( X1 = pigeon_4
| in(pigeon_2,hole_1)
| in(pigeon_3,hole_1)
| ~ in(X1,hole_1)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_247]),c_0_88]),c_0_26])]) ).
cnf(c_0_250,negated_conjecture,
( in(pigeon_5,hole_1)
| in(pigeon_3,hole_1)
| in(pigeon_2,hole_1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_248]),c_0_39])]),c_0_66]) ).
cnf(c_0_251,negated_conjecture,
( X1 = pigeon_4
| in(pigeon_4,hole_3)
| in(pigeon_4,hole_4)
| in(pigeon_2,hole_1)
| ~ in(X1,hole_1)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_212]),c_0_26])]) ).
cnf(c_0_252,negated_conjecture,
( in(pigeon_3,hole_1)
| in(pigeon_2,hole_1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_250]),c_0_39])]),c_0_86]) ).
cnf(c_0_253,negated_conjecture,
( in(pigeon_2,hole_1)
| in(pigeon_4,hole_4)
| in(pigeon_4,hole_3) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_252]),c_0_28])]),c_0_68]) ).
cnf(c_0_254,negated_conjecture,
( X1 = pigeon_5
| in(pigeon_5,hole_3)
| in(pigeon_5,hole_4)
| in(pigeon_2,hole_1)
| ~ in(X1,hole_1)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_207]),c_0_39])]) ).
cnf(c_0_255,negated_conjecture,
( X1 = pigeon_4
| in(pigeon_4,hole_3)
| in(pigeon_2,hole_1)
| ~ in(X1,hole_4)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_253]),c_0_49]),c_0_26])]) ).
cnf(c_0_256,negated_conjecture,
( in(pigeon_2,hole_1)
| in(pigeon_5,hole_4)
| in(pigeon_5,hole_3) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_252]),c_0_28])]),c_0_66]) ).
cnf(c_0_257,negated_conjecture,
( X1 = pigeon_1
| in(pigeon_1,hole_3)
| in(pigeon_1,hole_4)
| in(pigeon_2,hole_1)
| ~ in(X1,hole_1)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_219]),c_0_37])]) ).
cnf(c_0_258,negated_conjecture,
( in(pigeon_5,hole_3)
| in(pigeon_2,hole_1)
| in(pigeon_4,hole_3) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_256]),c_0_39])]),c_0_86]) ).
cnf(c_0_259,negated_conjecture,
( in(pigeon_2,hole_1)
| in(pigeon_1,hole_4)
| in(pigeon_1,hole_3) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_252]),c_0_28])]),c_0_77]) ).
cnf(c_0_260,negated_conjecture,
( X1 = pigeon_5
| in(pigeon_4,hole_3)
| in(pigeon_2,hole_1)
| ~ in(X1,hole_3)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_258]),c_0_62]),c_0_39])]) ).
cnf(c_0_261,negated_conjecture,
( in(pigeon_1,hole_3)
| in(pigeon_2,hole_1)
| in(pigeon_4,hole_3) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_259]),c_0_37])]),c_0_81]) ).
cnf(c_0_262,negated_conjecture,
( in(pigeon_2,hole_1)
| in(pigeon_4,hole_3) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_261]),c_0_37])]),c_0_84]) ).
cnf(c_0_263,negated_conjecture,
( X1 = pigeon_5
| in(pigeon_5,hole_3)
| in(pigeon_2,hole_1)
| ~ in(X1,hole_4)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_256]),c_0_49]),c_0_39])]) ).
cnf(c_0_264,negated_conjecture,
( X1 = pigeon_4
| in(pigeon_2,hole_1)
| ~ in(X1,hole_3)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_262]),c_0_62]),c_0_26])]) ).
cnf(c_0_265,negated_conjecture,
( in(pigeon_1,hole_3)
| in(pigeon_2,hole_1)
| in(pigeon_5,hole_3) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_259]),c_0_37])]),c_0_84]) ).
cnf(c_0_266,plain,
( hole_of(pigeon_5) = hole_1
| in(pigeon_5,hole_3)
| in(pigeon_5,hole_4)
| in(pigeon_5,hole_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_203]),c_0_39])]) ).
cnf(c_0_267,negated_conjecture,
( in(pigeon_5,hole_3)
| in(pigeon_2,hole_1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_265]),c_0_37])]),c_0_81]) ).
cnf(c_0_268,negated_conjecture,
( X1 = pigeon_5
| in(pigeon_5,hole_2)
| in(pigeon_5,hole_4)
| in(pigeon_5,hole_3)
| ~ in(X1,hole_1)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_266]),c_0_39])]) ).
cnf(c_0_269,negated_conjecture,
in(pigeon_2,hole_1),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_267]),c_0_39])]),c_0_86]) ).
cnf(c_0_270,negated_conjecture,
( in(pigeon_5,hole_3)
| in(pigeon_5,hole_4)
| in(pigeon_5,hole_2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_269]),c_0_27])]),c_0_53]) ).
cnf(c_0_271,negated_conjecture,
( X1 = pigeon_3
| in(pigeon_3,hole_2)
| in(pigeon_3,hole_4)
| in(pigeon_3,hole_3)
| ~ in(X1,hole_1)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_47]),c_0_28])]) ).
cnf(c_0_272,negated_conjecture,
( X1 = pigeon_4
| in(pigeon_4,hole_2)
| in(pigeon_4,hole_4)
| in(pigeon_4,hole_3)
| ~ in(X1,hole_1)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_42]),c_0_26])]) ).
cnf(c_0_273,negated_conjecture,
( X1 = pigeon_5
| in(pigeon_5,hole_2)
| in(pigeon_5,hole_3)
| ~ in(X1,hole_4)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_270]),c_0_49]),c_0_39])]) ).
cnf(c_0_274,negated_conjecture,
( in(pigeon_3,hole_3)
| in(pigeon_3,hole_4)
| in(pigeon_3,hole_2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_269]),c_0_27])]),c_0_60]) ).
cnf(c_0_275,negated_conjecture,
( in(pigeon_4,hole_3)
| in(pigeon_4,hole_4)
| in(pigeon_4,hole_2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_269]),c_0_27])]),c_0_56]) ).
cnf(c_0_276,negated_conjecture,
( in(pigeon_3,hole_2)
| in(pigeon_3,hole_3)
| in(pigeon_5,hole_3)
| in(pigeon_5,hole_2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_274]),c_0_28])]),c_0_66]) ).
cnf(c_0_277,negated_conjecture,
( X1 = pigeon_4
| in(pigeon_4,hole_2)
| in(pigeon_4,hole_3)
| ~ in(X1,hole_4)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_275]),c_0_49]),c_0_26])]) ).
cnf(c_0_278,negated_conjecture,
( X1 = pigeon_1
| in(pigeon_1,hole_2)
| in(pigeon_1,hole_4)
| in(pigeon_1,hole_3)
| ~ in(X1,hole_1)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_63]),c_0_37])]) ).
cnf(c_0_279,negated_conjecture,
( X1 = pigeon_5
| in(pigeon_5,hole_2)
| in(pigeon_3,hole_3)
| in(pigeon_3,hole_2)
| ~ in(X1,hole_3)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_276]),c_0_62]),c_0_39])]) ).
cnf(c_0_280,negated_conjecture,
( in(pigeon_3,hole_2)
| in(pigeon_3,hole_3)
| in(pigeon_4,hole_3)
| in(pigeon_4,hole_2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_274]),c_0_28])]),c_0_68]) ).
cnf(c_0_281,negated_conjecture,
( X1 = pigeon_3
| in(pigeon_3,hole_2)
| in(pigeon_3,hole_3)
| ~ in(X1,hole_4)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_274]),c_0_49]),c_0_28])]) ).
cnf(c_0_282,negated_conjecture,
( in(pigeon_1,hole_3)
| in(pigeon_1,hole_4)
| in(pigeon_1,hole_2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_269]),c_0_27])]),c_0_71]) ).
cnf(c_0_283,negated_conjecture,
( in(pigeon_4,hole_2)
| in(pigeon_3,hole_2)
| in(pigeon_3,hole_3)
| in(pigeon_5,hole_2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_280]),c_0_26])]),c_0_86]) ).
cnf(c_0_284,negated_conjecture,
( X1 = pigeon_4
| in(pigeon_4,hole_2)
| in(pigeon_3,hole_3)
| in(pigeon_3,hole_2)
| ~ in(X1,hole_3)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_280]),c_0_62]),c_0_26])]) ).
cnf(c_0_285,negated_conjecture,
( in(pigeon_1,hole_2)
| in(pigeon_1,hole_3)
| in(pigeon_3,hole_3)
| in(pigeon_3,hole_2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_282]),c_0_37])]),c_0_77]) ).
cnf(c_0_286,negated_conjecture,
( X1 = pigeon_5
| in(pigeon_3,hole_3)
| in(pigeon_3,hole_2)
| in(pigeon_4,hole_2)
| ~ in(X1,hole_2)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_283]),c_0_74]),c_0_39])]) ).
cnf(c_0_287,negated_conjecture,
( in(pigeon_1,hole_2)
| in(pigeon_3,hole_2)
| in(pigeon_3,hole_3)
| in(pigeon_4,hole_2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_285]),c_0_37])]),c_0_81]) ).
cnf(c_0_288,negated_conjecture,
( in(pigeon_4,hole_2)
| in(pigeon_3,hole_2)
| in(pigeon_3,hole_3) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_287]),c_0_37])]),c_0_84]) ).
cnf(c_0_289,negated_conjecture,
( X1 = pigeon_4
| in(pigeon_3,hole_3)
| in(pigeon_3,hole_2)
| ~ in(X1,hole_2)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_288]),c_0_74]),c_0_26])]) ).
cnf(c_0_290,negated_conjecture,
( in(pigeon_1,hole_2)
| in(pigeon_3,hole_2)
| in(pigeon_3,hole_3)
| in(pigeon_5,hole_2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_285]),c_0_37])]),c_0_84]) ).
cnf(c_0_291,negated_conjecture,
( in(pigeon_1,hole_2)
| in(pigeon_1,hole_3)
| in(pigeon_4,hole_3)
| in(pigeon_4,hole_2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_282]),c_0_37])]),c_0_81]) ).
cnf(c_0_292,negated_conjecture,
( in(pigeon_5,hole_2)
| in(pigeon_3,hole_2)
| in(pigeon_3,hole_3) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_290]),c_0_37])]),c_0_81]) ).
cnf(c_0_293,negated_conjecture,
( X1 = pigeon_1
| in(pigeon_4,hole_2)
| in(pigeon_4,hole_3)
| in(pigeon_1,hole_2)
| ~ in(X1,hole_3)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_291]),c_0_62]),c_0_37])]) ).
cnf(c_0_294,negated_conjecture,
( in(pigeon_3,hole_2)
| in(pigeon_3,hole_3) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_292]),c_0_39])]),c_0_86]) ).
cnf(c_0_295,negated_conjecture,
( in(pigeon_4,hole_2)
| in(pigeon_4,hole_3)
| in(pigeon_5,hole_3)
| in(pigeon_5,hole_2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_275]),c_0_26])]),c_0_86]) ).
cnf(c_0_296,negated_conjecture,
( in(pigeon_3,hole_2)
| in(pigeon_1,hole_2)
| in(pigeon_4,hole_3)
| in(pigeon_4,hole_2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_294]),c_0_28])]),c_0_77]) ).
cnf(c_0_297,negated_conjecture,
( X1 = pigeon_5
| in(pigeon_5,hole_2)
| in(pigeon_4,hole_3)
| in(pigeon_4,hole_2)
| ~ in(X1,hole_3)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_295]),c_0_62]),c_0_39])]) ).
cnf(c_0_298,negated_conjecture,
( X1 = pigeon_1
| in(pigeon_4,hole_2)
| in(pigeon_4,hole_3)
| in(pigeon_3,hole_2)
| ~ in(X1,hole_2)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_296]),c_0_74]),c_0_37])]) ).
cnf(c_0_299,negated_conjecture,
( in(pigeon_3,hole_2)
| in(pigeon_4,hole_2)
| in(pigeon_4,hole_3)
| in(pigeon_5,hole_2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_294]),c_0_28])]),c_0_66]) ).
cnf(c_0_300,negated_conjecture,
( X1 = pigeon_3
| in(pigeon_3,hole_2)
| ~ in(X1,hole_3)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_294]),c_0_62]),c_0_28])]) ).
cnf(c_0_301,negated_conjecture,
( in(pigeon_3,hole_2)
| in(pigeon_4,hole_3)
| in(pigeon_4,hole_2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_299]),c_0_39])]),c_0_84]) ).
cnf(c_0_302,negated_conjecture,
( in(pigeon_1,hole_2)
| in(pigeon_1,hole_3)
| in(pigeon_5,hole_3)
| in(pigeon_5,hole_2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_282]),c_0_37])]),c_0_84]) ).
cnf(c_0_303,negated_conjecture,
( in(pigeon_4,hole_2)
| in(pigeon_3,hole_2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_301]),c_0_26])]),c_0_68]) ).
cnf(c_0_304,negated_conjecture,
( X1 = pigeon_1
| in(pigeon_5,hole_2)
| in(pigeon_5,hole_3)
| in(pigeon_1,hole_2)
| ~ in(X1,hole_3)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_302]),c_0_62]),c_0_37])]) ).
cnf(c_0_305,negated_conjecture,
( X1 = pigeon_4
| in(pigeon_3,hole_2)
| ~ in(X1,hole_2)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_303]),c_0_74]),c_0_26])]) ).
cnf(c_0_306,negated_conjecture,
( in(pigeon_3,hole_2)
| in(pigeon_1,hole_2)
| in(pigeon_5,hole_3)
| in(pigeon_5,hole_2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_294]),c_0_28])]),c_0_77]) ).
cnf(c_0_307,negated_conjecture,
( in(pigeon_5,hole_2)
| in(pigeon_5,hole_3)
| in(pigeon_3,hole_2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_306]),c_0_37])]),c_0_81]) ).
cnf(c_0_308,negated_conjecture,
( in(pigeon_5,hole_2)
| in(pigeon_3,hole_2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_307]),c_0_39])]),c_0_66]) ).
cnf(c_0_309,negated_conjecture,
( in(pigeon_1,hole_2)
| in(pigeon_4,hole_2)
| in(pigeon_4,hole_3)
| in(pigeon_5,hole_2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_291]),c_0_37])]),c_0_84]) ).
cnf(c_0_310,negated_conjecture,
in(pigeon_3,hole_2),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_308]),c_0_39])]),c_0_86]) ).
cnf(c_0_311,negated_conjecture,
( X1 = pigeon_1
| in(pigeon_5,hole_2)
| in(pigeon_4,hole_3)
| in(pigeon_4,hole_2)
| ~ in(X1,hole_2)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_309]),c_0_74]),c_0_37])]) ).
cnf(c_0_312,negated_conjecture,
( hole_of(pigeon_5) = hole_1
| in(pigeon_5,hole_4)
| in(pigeon_5,hole_3) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_310]),c_0_28])]),c_0_66]) ).
cnf(c_0_313,negated_conjecture,
( X1 = pigeon_3
| ~ in(X1,hole_2)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_310]),c_0_74]),c_0_28])]) ).
cnf(c_0_314,negated_conjecture,
( in(pigeon_4,hole_2)
| in(pigeon_4,hole_3)
| in(pigeon_5,hole_2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_310]),c_0_28])]),c_0_77]) ).
cnf(c_0_315,negated_conjecture,
( X1 = pigeon_5
| in(pigeon_5,hole_3)
| in(pigeon_5,hole_4)
| ~ in(X1,hole_1)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_312]),c_0_39])]) ).
cnf(c_0_316,negated_conjecture,
( in(pigeon_4,hole_3)
| in(pigeon_4,hole_2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_314]),c_0_39])]),c_0_66]) ).
cnf(c_0_317,negated_conjecture,
( X1 = pigeon_1
| in(pigeon_1,hole_2)
| in(pigeon_1,hole_3)
| ~ in(X1,hole_4)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_282]),c_0_49]),c_0_37])]) ).
cnf(c_0_318,negated_conjecture,
( in(pigeon_5,hole_4)
| in(pigeon_5,hole_3) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_269]),c_0_27])]),c_0_53]) ).
cnf(c_0_319,negated_conjecture,
( X1 = pigeon_4
| in(pigeon_4,hole_2)
| ~ in(X1,hole_3)
| ~ pigeon(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_316]),c_0_62]),c_0_26])]) ).
cnf(c_0_320,negated_conjecture,
( in(pigeon_5,hole_3)
| in(pigeon_1,hole_3)
| in(pigeon_1,hole_2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_317,c_0_318]),c_0_39])]),c_0_84]) ).
cnf(c_0_321,negated_conjecture,
( in(pigeon_1,hole_2)
| in(pigeon_5,hole_3)
| in(pigeon_4,hole_2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_320]),c_0_37])]),c_0_81]) ).
cnf(c_0_322,negated_conjecture,
( in(pigeon_4,hole_2)
| in(pigeon_5,hole_3) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_321]),c_0_37])]),c_0_77]) ).
cnf(c_0_323,negated_conjecture,
in(pigeon_4,hole_2),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_322]),c_0_39])]),c_0_86]) ).
cnf(c_0_324,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_323]),c_0_26])]),c_0_68]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MSC007-2.005 : TPTP v9.2.1. Released v1.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.34 % Computer : n003.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Mon May 4 23:33:56 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 2.27/2.03 % Version : CSE_E---1.7
% 2.27/2.03 % Problem : theBenchmark.p
% 2.27/2.03 % SZS status Unsatisfiable for theBenchmark.p
% 2.27/2.03 % SZS output start CNFRefutation
% See solution above
% 2.27/2.03 % Total time : 1.374s
%------------------------------------------------------------------------------